Document:

<PAGE>

                                                                   Exhibit 10.11

________________________________________________________________________________

                             GENOMICA CORPORATION

               AMENDED AND RESTATED INVESTORS' RIGHTS AGREEMENT

                                March 13, 2000

________________________________________________________________________________
<PAGE>

                               Table Of Contents

<TABLE>
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                                                                      Page
<S>                                                                   <C>
1.   General........................................................   1

     1.1   Termination of Prior Agreement...........................   1
     1.2   Definitions..............................................   1

2.   Restrictions On Transfer.......................................   3

     2.1   Restrictions on Transfer.................................   3
     2.2   "Market Stand Off" Agreement.............................   4

3.   Registration...................................................   4

     3.1   Demand Registration......................................   4
     3.2   Piggyback Registrations..................................   6
     3.3   Form S-3 Registration....................................   7
     3.4   Registration Expenses....................................   8
     3.5   Obligations of the Company...............................   8
     3.6   Termination of Registration Rights.......................   9
     3.7   Furnish Information......................................   9
     3.8   Delay of Registration....................................   9
     3.9   Assignment of Registration Rights........................   9
     3.10  Amendment or Waiver of Registration Rights...............   9
     3.11  Indemnification..........................................  10
     3.12  Rule 144 Reporting.......................................  12

4.   Covenants of the Company.......................................  12

     4.1   Basic Financial Information and Reporting................  12
     4.2   Inspection Rights........................................  12
     4.3   Confidentiality of Records...............................  13
     4.4   Reservation of Common Stock..............................  13
     4.5   SEC Compliance...........................................  13
     4.6   Proprietary Information and Inventions Agreement.........  13
     4.7   Termination of Covenants.................................  13

5.   Preemptive Rights..............................................  13

     5.1   Subsequent Offerings.....................................  13
     5.2   Exercise of Rights.......................................  13
</TABLE>

                                      i.
<PAGE>

                               Table Of Contents
                                  (Continued)

<TABLE>
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                                                                      Page
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     5.3   Issuance of Equity Securities to Other Investors..........  14
     5.4   Termination of Preemptive Rights..........................  14
     5.5   Transfer of Preemptive Rights.............................  14
     5.6   Excluded Securities.......................................  14

6.   Miscellaneous...................................................  15

     6.1   Governing Law.............................................  15
     6.2   Successors and Assigns....................................  15
     6.3   Severability..............................................  15
     6.4   Amendment and Waiver......................................  15
     6.5   Notices, Etc..............................................  15
     6.6   Attorneys' Fees...........................................  16
     6.7   Titles and Subtitles......................................  16
     6.8   Complete Agreement........................................  16
     6.9   Counterparts..............................................  16
</TABLE>

                                      ii.
<PAGE>

<PAGE>

                             GENOMICA CORPORATION

               AMENDED AND RESTATED INVESTORS' RIGHTS AGREEMENT

     This Amended and Restated Investors' Rights Agreement (the "Agreement") is
entered into as of this 13th day of March, 2000, by and among Genomica
Corporation, a Delaware corporation (the "Company"), and the holders of the
Company's Series A Preferred Stock (the "Series A Stock"), Series B Preferred
Stock (the "Series B Stock") and the Company's Series C Preferred Stock (the
"Series C Stock") and certain other parties set forth on Exhibit A hereto. The
holders of the Series A Stock, the Series B Stock and the Series C Stock and the
other parties set forth on Exhibit A shall be collectively referred to
hereinafter as the "Investors" and each individually as an "Investor."

     Whereas, the Company has granted registration rights and certain other
rights to the holders of the Company's Series A Stock and Series B Stock
pursuant to that certain Investors' Rights Agreement, dated as of February 12,
1999 (the "Prior Agreement");

     Whereas, the Company proposes to sell and issue shares of its Series C
Stock pursuant to the Series C Preferred Stock Purchase Agreement of even date
herewith (the "Purchase Agreement"); and

     Whereas, as a condition to entering into the Purchase Agreement, the
prospective purchasers have requested that the Company extend to them
registration rights, information rights and other rights as set forth below, and
the Company and the parties to the Prior Agreement are willing to amend the
rights given to them pursuant to the Prior Agreement by replacing such rights in
their entirety with the rights set forth in this Agreement.

     Now, Therefore, in consideration of the mutual promises, representations,
warranties, covenants and conditions set forth in this Agreement and the
Purchase Agreement, the parties mutually agree as follows:

1.   General

     1.1  Termination of Prior Agreement. The undersigned parties who constitute
the requisite parties necessary to amend the Prior Agreement hereby agree that,
effective upon the date hereof, the Prior Agreement is null and void and
superseded by the rights and obligations set forth in this Agreement, and any
application of preemptive rights (including any notice requirements) set forth
in Section 5 of the Prior Agreement as to the issuance of the Company's Series C
Stock under the Purchase Agreement is waived.

     1.2  Definitions.

          (a)  "Common Stock" shall mean the common stock, $.001 par value per
share, of the Company.

          (b)  "Equity Securities" shall mean (i) any Common Stock, Preferred
Stock or other security of the Company, (ii) any security convertible into any
Common Stock, Preferred

                                       1.
<PAGE>

Stock or other security (including any option to purchase such a convertible
security), (iii) any security carrying any warrant or right to subscribe to or
purchase any Common Stock, Preferred Stock or other security or (iv) any such
warrant or right.

          (c)  "Exchange Act" shall mean the Securities Exchange Act of 1934, as
amended.

          (d)  "Form S-3" means such form under the Securities Act as in effect
on the date hereof or any successor registration form under the Securities Act
subsequently adopted by the SEC which permits inclusion or incorporation of
substantial information by reference to other documents filed by the Company
with the SEC.

          (e)  "Holder" means any Investor owning of record Registrable
Securities that have not been sold to the public or any assignee of record of
such Registrable Securities in accordance with Section 3.9 hereof.

          (f)  "Initial Offering" shall mean the Company's first firm commitment
underwritten public offering of its Common Stock registered under the Securities
Act.

          (g)  "Preferred Stock" shall mean the preferred stock, $.001 par value
per share, of the Company.

          (h)  The terms "register," "registered," and "registration" refer to a
registration effected by preparing and filing a registration statement in
compliance with the Securities Act and the declaration or ordering of
effectiveness of such registration statement or document.

          (i)  The term "Registrable Securities" shall mean (a) Common Stock
held by the Investors listed on Exhibit A hereto and their permitted assigns;
(b) Common Stock of the Company issued or issuable upon conversion of the
Shares; (c) any Common Stock of the Company issued as (or issuable upon the
conversion or exercise of any warrant, right or other security which is issued
as) a dividend or other distribution with respect to, or in exchange for or in
replacement of, the securities referred to in clause (a) or (b) above; (d)
Common Stock of the Company issuable upon exercise of those certain warrants to
purchase Common Stock issued to Punk Ziegel & Company; (e) Common Stock of the
Company issuable upon conversion of the Series A Stock issuable upon exercise of
those certain Warrants to purchase Series A Stock issued to Falcon Technology
Partners, L.P. and Silicon Valley Bank; and (f) Common Stock of the Company
issuable upon conversion of the Series B Stock issuable upon exercise of those
certain Warrants to purchase Series B Stock issued to ARCH Ventures Fund III,
L.P., Boulder Ventures, L.P., The Caruthers Family L.L.C., Falcon Technology
Partners, L.P. and Invesco Global Health Sciences Fund. Notwithstanding the
foregoing, Registrable Securities shall not include any securities sold by a
person to the public either pursuant to a registration statement or Rule 144 or
sold in a private transaction in which the transferor's rights under Section 3
of this Agreement with respect to such registration rights are not assigned.

          (j)  "Registrable Securities then outstanding" shall be the number of
shares determined by calculating the total number of shares of the Company's
Common Stock that are Registrable Securities and either (i) are then issued and
outstanding or (ii) are issuable pursuant to then exercisable or convertible
securities.

          (k)  "Rule 144" shall mean Rule 144 of the rules and regulations
promulgated under the Securities Act.

          (l)  "SEC" means the Securities and Exchange Commission.

                                       2.
<PAGE>

          (m)  "Securities Act" shall mean the Securities Act of 1933, as
amended.

          (n)  "Shares" shall mean the Company's Series C Stock issued pursuant
to the Purchase Agreement and the Company's Series A Stock and Series B Stock
held by the Investors listed on Exhibit A hereto and their permitted assigns.
                                ---------

2.   Restrictions On Transfer.

     2.1  Restrictions on Transfer.

          (a)  Each Holder agrees not to make any disposition of all or any
portion of the Shares or Registrable Securities unless and until the transferee
has agreed in writing for the benefit of the Company to be bound by this Section
2.1 unless and until:

               (i)   There is then in effect a registration statement under the
Securities Act covering such proposed disposition and such disposition is made
in accordance with such registration statement; or

               (ii)  (A) Such Holder shall have notified the Company of the
proposed disposition and shall have furnished the Company with a detailed
statement of the circumstances surrounding the proposed disposition and (B) if
reasonably requested by the Company, such Holder shall have furnished the
Company with an opinion of counsel, reasonably satisfactory to the Company, that
such disposition will not require registration of such shares under the
Securities Act. It is agreed that the Company will not require opinions of
counsel for transactions made pursuant to Rule 144 except in unusual
circumstances.

               (iii) Notwithstanding the provisions of paragraphs (i) and (ii)
above, no such registration statement or opinion of counsel shall be necessary
for a transfer by a Holder which is (A) a partnership to any or all of its
partners or former partners, (B) a corporation to its stockholders in accordance
with their interest in the corporation, (C) a limited liability company to its
members or former members in accordance with their membership interest, (D) by a
trust to its beneficiaries in accordance with their interests in the trust or
(E) to the Holder's family member or trust for the benefit of an individual
Holder; provided, that, the transferee will be subject to the terms of this
Agreement to the same extent as if he were an original Holder hereunder.

          (b)  Each certificate representing Shares or Registrable Securities
shall (unless otherwise permitted by the provisions of the Agreement) be stamped
or otherwise imprinted with a legend substantially similar to the following (in
addition to any legend required under applicable state securities laws or as
provided elsewhere in this Agreement):

     First Legend:
     -------------

     THE SECURITIES REPRESENTED HEREBY HAVE NOT BEEN REGISTERED UNDER THE
     SECURITIES ACT OF 1933, AS AMENDED (THE "ACT"), AND MAY NOT BE
     OFFERED, SOLD OR OTHERWISE TRANSFERRED, ASSIGNED, PLEDGED OR
     HYPOTHECATED UNLESS
                                       3.
<PAGE>

     AND UNTIL REGISTERED UNDER THE ACT OR UNLESS THE COMPANY HAS RECEIVED
     AN OPINION OF COUNSEL SATISFACTORY TO THE COMPANY AND ITS COUNSEL THAT
     SUCH REGISTRATION IS NOT REQUIRED.

     Second Legend:
     --------------

     THE SECURITIES REPRESENTED HEREBY MAY NOT BE OFFERED, SOLD OR
     OTHERWISE TRANSFERRED, ASSIGNED, PLEDGED OR HYPOTHECATED EXCEPT IN
     COMPLIANCE WITH THE INVESTORS' RIGHTS AGREEMENT, DATED MARCH 13, 2000,
     COPIES OF WHICH ARE ON FILE AT THE OFFICE OF THE ISSUER.

          (c)  The Company shall reissue promptly unlegended certificates at the
request of any holder thereof if the holder shall have obtained an opinion of
counsel (which counsel may be counsel to the Company) reasonably acceptable to
the Company to the effect that the securities proposed to be disposed of may
lawfully be so disposed of without registration, qualification or legend.

          (d)  Any legend endorsed on an instrument pursuant to applicable state
securities laws and the stop-transfer instructions with respect to such
securities shall be removed upon receipt by the Company of an order of the
appropriate blue sky authority authorizing such removal.

     2.2  "Market Stand Off" Agreement.  Each Holder hereby agrees that during
the one hundred eighty (180) day period following the effective date of a
registration statement of the Company filed under the Securities Act, it shall
not, to the extent requested by the Company and the managing underwriter, sell
or otherwise transfer or dispose of (other than to donees who agree to be
similarly bound) any Common Stock of the Company held by it at any time during
such period except Common Stock included in such registration; provided, that,
all officers and directors of the Company enter into similar agreements.

     In order to enforce the foregoing covenant, the Company may impose stop-
transfer instructions with respect to the Registrable Securities of each
Investor (and the shares or securities of every other person subject to the
foregoing restriction) until the end of such one hundred eighty (180) day
period.

3.   Registration.

     3.1  Demand Registration.

          (a)  Subject to the conditions of this Section 3.1, if the Company
shall receive a written request from the Holders of at least a majority of the
Registrable Securities then outstanding on an as-converted basis (the
"Initiating Holders") that the Company file a registration statement under the
Securities Act covering the registration of Registrable Securities having an
aggregate offering price to the public of at least $15,000,000 and constituting
at least

                                       4.
<PAGE>

twenty percent (20%) of the outstanding shares of the Company's Common Stock on
an as-converted basis, then the Company shall, within thirty (30) days of the
receipt thereof, give written notice of such request to all Holders, and subject
to the limitations of this Section 3.1, use its best efforts to effect, as soon
as practicable, the registration under the Securities Act of all Registrable
Securities that the Holders request to be registered.

          (b)  Any registration pursuant to this Section 3.1 shall be effected
by means of a firm underwriting and the Company shall include such information
in the written notice referred to in Section 3.1(a). The right of any Holder to
include its Registrable Securities in such registration shall be conditioned
upon such Holder's participation in such underwriting and the inclusion of such
Holder's Registrable Securities in the underwriting to the extent provided
herein. All Holders proposing to distribute their securities through such
underwriting shall enter into an underwriting agreement in customary form with
the underwriter or underwriters selected for such underwriting by a majority in
interest of the Initiating Holders (which underwriter or underwriters shall be
of nationally recognized standing and shall be reasonably acceptable to the
Company). Notwithstanding any other provision of this Section 3.1, if the
underwriter advises the Company that marketing factors require a limitation of
the number of securities to be underwritten (including Registrable Securities),
then the Company shall so advise all Holders of Registrable Securities which
would otherwise be underwritten pursuant hereto, and the number of shares that
may be included in the underwriting shall be allocated to the Holders of such
Registrable Securities on a pro rata basis based on the number of Registrable
Securities held by all such Holders (including Initiating Holders).  Any
Registrable Securities excluded or withdrawn from such underwriting shall be
withdrawn from the registration.

          (c)  The Company shall not be required to effect a registration
pursuant to this Section 3.1:

               (i)   prior to December 11, 2001; or

               (ii)  after the Company has filed one (1) registration statement
pursuant to this Section 3.1, and either: (A) such registration has been
declared or ordered effective; or (B) the request for such registration has been
subsequently withdrawn by the Initiating Holders, unless the withdrawal is based
upon material adverse information concerning the Company of which the Initiating
Holders were not aware at the time of such request; or

               (iii) during the period starting with the date of filing of, and
ending on the date ninety (90) days following the closing of the Company's
Initial Offering; provided, that, the Company makes reasonable good faith
efforts to cause such registration statement to become effective; or

               (iv)  if within thirty (30) days of receipt of a written request
from Initiating Holders pursuant to Section 3.1(a), the Company gives notice to
the Holders of the Company's intention to make an Initial Offering within ninety
(90) days; or

               (v)   if the Company shall furnish to Holders requesting a
registration statement pursuant to this Section 3.1, a certificate signed by the
Chairman of the Board stating that in the good faith judgment of the Board of
Directors of the Company, it would be seriously

                                       5.
<PAGE>

detrimental to the Company and its stockholders for such registration statement
to be effected at such time, in which event the Company shall have the right to
defer such filing for a period of not more than ninety (90) days after receipt
of the request of the Initiating Holders; provided, that, the right to delay a
request shall be exercised by the Company not more than once in any twelve (12)
month period; or

               (vi)  if the Initiating Holders propose to dispose of shares of
Registrable Securities that may be immediately registered on Form S-3 (or a
successor or similar form) pursuant to a request made pursuant to Section 3.3
below.

     3.2  Piggyback Registrations.  The Company shall notify all Holders of
Registrable Securities in writing at least thirty (30) days prior to the filing
of any registration statement under the Securities Act for purposes of a public
offering of securities of the Company (including, but not limited to,
registration statements relating to secondary offerings of securities of the
Company and to offerings of securities of the Company initiated by any party
exercising its demand registration rights, but excluding registration statements
relating to employee benefit plans and corporate reorganizations or other
transactions under Rule 145 of the Securities Act) and will afford each such
Holder an opportunity to include in such registration statement all or part of
such Registrable Securities held by such Holder.  Each Holder desiring to
include in any such registration statement all or any part of the Registrable
Securities held by it shall, within fifteen (15) days after receipt of the
above-described notice from the Company, so notify the Company in writing.  Such
notice shall state the intended method of disposition of the Registrable
Securities by such Holder.  If a Holder decides not to include all of its
Registrable Securities in any registration statement thereafter filed by the
Company, such Holder shall nevertheless continue to have the right to include
any Registrable Securities in any subsequent registration statement or
registration statements as may be filed by the Company with respect to offerings
of its securities, all upon the terms and conditions set forth herein.

     If the registration statement under which the Company gives notice under
this Section 3.2 is for an underwritten offering, the Company shall so advise
the Holders of Registrable Securities.  In such event, the right of any such
Holder to be included in a registration pursuant to this Section 3.2 shall be
conditioned upon such Holder's participation in such underwriting and the
inclusion of such Holder's Registrable Securities in the underwriting to the
extent provided herein.  All Holders proposing to distribute their Registrable
Securities through such underwriting shall enter into an underwriting agreement
in customary form with the underwriter or underwriters selected for such
underwriting by the Company.  Notwithstanding any other provision of this
Agreement, if the underwriter determines in good faith that marketing factors
require a limitation of the number of shares to be underwritten, the number of
shares that may be included in the underwriting shall be allocated as follows:
(i) first, to the Company, (ii) second, to the Holders of the Company's Series A
Stock, Series B Stock and Series C Stock on a pro rata basis based on the total
number of Registrable Securities held by such Holders and (iii) third, to any
stockholder of the Company (other than a Holder) on a pro rata basis.  No such
reduction shall reduce the securities being offered by the Company for its own
account to be included in the registration and underwriting.  In no event will
shares of any other selling stockholder be included in such registration which
would reduce the number of shares which may be included by the Holders, without
the written consent of Holders of a majority of the Registrable Securities
proposed to be sold in the offering.  The Company shall have the right to
terminate or withdraw

                                       6.
<PAGE>

any registration initiated by it under this Section 3.2 prior to the
effectiveness of such registration whether or not any Holder has elected to
include securities in such registration. The registration expenses of such
withdrawn registration shall be borne by the Company in accordance with Section
3.4 hereof. For any Holder which is a partnership or corporation, the partners,
retired partners and stockholders of such Holder, or the estates and family
members of any such partners and retired partners and any trusts for the benefit
of any of the foregoing person shall be deemed to be a single "Holder", and any
pro rata reduction with respect to such "Holder" shall be based upon the
aggregate amount of shares carrying registration rights owned by all entities
and individuals included in such "Holder," as defined in this sentence.

     3.3  Form S-3 Registration.  In case the Company shall receive a written
request from the Holders of at least twenty-five percent (25%) of the
Registrable Securities then outstanding on an as-converted basis that the
Company effect a registration on Form S-3 (or any successor to Form S-3) or any
similar short-form registration statement and any related qualification or
compliance with respect to all or a part of the Registrable Securities owned by
such Holder or Holders, the Company will:

          (a)  promptly give written notice of the proposed registration, and
any related qualification or compliance, to all other Holders of Registrable
Securities; and

          (b)  as soon as practicable, effect such registration and all such
qualifications and compliances as may be so requested and as would permit or
facilitate the sale and distribution of all or such portion of such Holder's or
Holders' Registrable Securities as are specified in such request, together with
all or such portion of the Registrable Securities of any Holder or Holders
joining in such request as are specified in a written request given within
fifteen (15) days after receipt of such written notice from the Company;
provided, however,  that the Company shall not be obligated to effect any such
registration, qualification or compliance pursuant to this Section 3.3:

               (i)   if Form S-3 (or any successor or similar form) is not
available for such offering by the Holders; or

               (ii)  if the Holders, together with the holders of any other
securities of the Company entitled to inclusion in such registration, propose to
sell Registrable Securities and such other securities (if any) at an aggregate
price to the public of less than $1,000,000; or

               (iii) if within thirty (30) days of receipt of a written request
from Initiating Holders pursuant to Section 2.2(a), the Company gives notice to
the Holders of the Company's intent to make its Initial Offering within ninety
(90) days; or

               (iv)  if the Company shall furnish to the Holders a certificate
signed by the Chairman of the Board of Directors of the Company stating that, in
the good faith judgment of the Board of Directors of the Company, it would be
seriously detrimental to the Company and its stockholders for such Form S-3
registration to be effected at such time, in which event the Company shall have
the right to defer the filing of the Form S-3 registration statement for a
period of not more than ninety (90) days after receipt of the request of the
Holder or Holders

                                       7.
<PAGE>

under this Section 3.3; provided, that, the right to delay a request shall be
exercised by the Company not more than once in any twelve (12) month period; or

               (v)  in any particular jurisdiction in which the Company would be
required to qualify to do business or to execute a general consent to service of
process in effecting such registration, qualification or compliance; or

               (vi) if the Company has already effected two (2) registrations on
Form S-3 (or any successor or similar form) for the Holders pursuant to this
Section 3.3.

          (c)  Subject to the foregoing, the Company shall file a Form S-3 (or
any successor or similar form) registration statement covering the Registrable
Securities and other securities so requested to be registered as soon as
practicable after receipt of the request or requests of the Holders.

     3.4  Registration Expenses.  The Company shall bear all fees and expenses
incurred in connection with any registration under this Agreement, including
without limitation all registration, filing, qualification, printers' and
accounting fees, fees and disbursements of counsel to the Company, except that
each participating Holder shall bear its proportionate share of all amounts
payable to underwriters in connection with such offering for discounts and
commissions.  The Company shall not, however, be required to pay for expenses of
any registration proceeding begun pursuant to Sections 3.1 or 3.3, the request
of which has been subsequently withdrawn by the Holders, unless the withdrawal
is based upon material adverse information concerning the Company of which the
Holders initiating the registration request were not aware at the time of such
request.  If the Holders are required to pay their registration expenses, such
expenses shall be borne by the holders of securities (including Registrable
Securities) requesting such registration in proportion to the number of shares
for which registration was requested.

     3.5  Obligations of the Company. Whenever required to effect the
registration of any Registrable Securities, the Company shall, as expeditiously
as reasonably possible:

          (a)  Prepare and file with the SEC a registration statement with
respect to such Registrable Securities and use its best efforts to cause such
registration statement to become effective, and, upon the request of the Holders
of a majority of the Registrable Securities registered thereunder, keep such
registration statement effective for up to ninety (90) days.

          (b)  Prepare and file with the SEC such amendments and supplements to
such registration statement and the prospectus used in connection with such
registration statement as may be necessary to comply with the provisions of the
Securities Act with respect to the disposition of all securities covered by such
registration statement.

          (c)  Furnish to the Holders such number of copies of a prospectus,
including a preliminary prospectus, in conformity with the requirements of the
Securities Act, and such other documents as they may reasonably request in order
to facilitate the disposition of Registrable Securities owned by them.

                                       8.
<PAGE>

          (d)  Use its best efforts to register and qualify the securities
covered by such registration statement under such other securities or Blue Sky
laws of such jurisdictions as shall be reasonably requested by the Holders,
provided, that, the Company shall not be required in connection therewith or as
a condition thereto to qualify to do business or to file a general consent to
service of process in any such states or jurisdictions.

          (e)  In the event of any underwritten public offering, enter into and
perform its obligations under an underwriting agreement, in usual and customary
form, with the managing underwriter(s) of such offering.  Each Holder
participating in such underwriting shall also enter into and perform its
obligations under such an agreement.

          (f)  Notify each Holder of Registrable Securities covered by such
registration statement, at any time when a prospectus relating thereto is
required to be delivered under the Securities Act, of the happening of any event
as a result of which the prospectus included in such registration statement, as
then in effect, includes an untrue statement of a material fact or omits to
state a material fact required to be stated therein or necessary to make the
statements therein not misleading or incomplete in the light of the
circumstances then existing.

     3.6  Termination of Registration Rights.  All registration rights granted
under this Section 3 shall terminate and be of no further force and effect five
(5) years after the Company has completed its Initial Offering.  In addition,
the right of any Holder to request inclusion of Registrable Securities in any
registration pursuant to this Section 3 shall terminate if (a) such Holder
(together with its affiliates, partners and former partners) holds less than one
percent (1%) of the Company's outstanding Common Stock (treating all shares of
convertible Preferred Stock on an as-converted basis) and (b) all Registrable
Securities held by and issuable to such Holder (and its affiliates, partners,
former partners, members and former members) may be sold to the public under
Rule 144(k) during any ninety (90) day period.

     3.7  Furnish Information.  It shall be a condition precedent to the
obligations of the Company to take any action pursuant to this Section 3 that
the selling Holders shall furnish to the Company such information regarding
themselves, the Registrable Securities held by them and the intended method of
disposition of such securities as shall be required to effect the registration
of their Registrable Securities.

     3.8  Delay of Registration.  No Holder shall have any right to obtain or
seek an injunction restraining or otherwise delaying any such registration as
the result of any controversy that might arise with respect to the
interpretation or implementation of this Section 3.

     3.9  Assignment of Registration Rights.  The rights to cause the Company to
register Registrable Securities pursuant to this Section 3 may be assigned by a
Holder to a transferee or assignee of Registrable Securities which (a) is a
subsidiary, parent, general partner, limited partner, retired partner, member,
retired member, affiliate or trust beneficiaries of a Holder, (b) is a Holder's
family member or trust for the benefit of an individual Holder or (c) acquires
at least two hundred fifty thousand (250,000) shares of Registrable Securities
(as adjusted for stock dividends, stock splits and combinations);  provided,
however, (A) the transferor shall, within ten (10) days after such transfer,
furnish to the Company written notice of the name and address of such transferee
or assignee and the securities with respect to which such registration rights
are

                                       9.
<PAGE>

being assigned and (B) such transferee shall agree to be subject to all
restrictions set forth in this Agreement.

     3.10 Amendment or Waiver of Registration Rights.  Any provision of this
Section 3 may be amended, and the observance thereof may be waived (either
generally or in a particular instance and either retroactively or
prospectively), only with the written consent of the Company and the Holders of
at least a majority of the Registrable Securities then outstanding.  Any
amendment or waiver effected in accordance with this Section 3.10 shall be
binding upon each Holder and the Company.  By acceptance of any benefits under
this Agreement, Holders of Registrable Securities hereby agree to be bound by
the provisions hereunder.

     3.11 Indemnification.  In the event any Registrable Securities are included
in a registration statement under Sections 3.1, 3.2 or 3.3:

          (a)  To the extent permitted by law, the Company will indemnify and
hold harmless each Holder, the partners, officers, directors and legal counsel
of each Holder, any underwriter (as defined in the Securities Act) for such
Holder and each person, if any, who controls such Holder or underwriter within
the meaning of the Securities Act or the Exchange Act, against any losses,
claims, damages, or liabilities (joint or several) to which they may become
subject under the Securities Act, the Exchange Act or other federal or state
law, insofar as such losses, claims, damages or liabilities (or actions in
respect thereof) arise out of or are based upon any of the following statements,
omissions or violations (collectively a "Violation") by the Company:  (i) any
untrue statement or alleged untrue statement of a material fact contained in
such registration statement, including any preliminary prospectus or final
prospectus contained therein or any amendments or supplements thereto, (ii) the
omission or alleged omission to state therein a material fact required to be
stated therein, or necessary to make the statements therein not misleading, or
(iii) any violation or alleged violation by the Company of the Securities Act,
the Exchange Act, any state securities law or any rule or regulation promulgated
under the Securities Act, the Exchange Act or any state securities law in
connection with the offering covered by such registration statement; and the
Company will reimburse each such Holder, partner, officer or director,
underwriter or controlling person for any legal or other expenses reasonably
incurred by them in connection with investigating or defending any such loss,
claim, damage, liability or action; provided, however, that the indemnity
agreement contained in this Section 3.11(a) shall not apply to amounts paid in
settlement of any such loss, claim, damage, liability or action if such
settlement is effected without the consent of the Company, which consent shall
not be unreasonably withheld, nor shall the Company be liable in any such case
for any such loss, claim, damage, liability or action to the extent that it
arises out of or is based upon a Violation which occurs in reliance upon and in
conformity with written information furnished expressly for use in connection
with such registration by such Holder, partner, officer, director, underwriter
or controlling person of such Holder.

          (b)  To the extent permitted by law, each Holder will, if Registrable
Securities held by such Holder are included in the securities as to which such
registration qualifications or compliance is being effected, indemnify and hold
harmless the Company, each of its directors, its officers, and legal counsel and
each person, if any, who controls the Company within the meaning of the
Securities Act, any underwriter and any other Holder selling securities under
such registration statement or any of such other Holder's partners, directors or
officers or any

                                      10.
<PAGE>

person who controls such Holder, against any losses, claims, damages or
liabilities (joint or several) to which the Company or any such director,
officer, controlling person, underwriter or other such Holder, or partner,
director, officer or controlling person of such other Holder may become subject
under the Securities Act, the Exchange Act or other federal or state law,
insofar as such losses, claims, damages or liabilities (or actions in respect
thereto) arise out of or are based upon any Violation, in each case to the
extent (and only to the extent) that such Violation occurs in reliance upon and
in conformity with written information furnished by such Holder under an
instrument duly executed by such Holder and stated to be specifically for use in
connection with such registration; and each such Holder will reimburse any legal
or other expenses reasonably incurred by the Company or any such director,
officer, controlling person, underwriter or other Holder, or partner, officer,
director or controlling person of such other Holder in connection with
investigating or defending any such loss, claim, damage, liability or action if
it is judicially determined that there was such a Violation; provided, however,
that the indemnity agreement contained in this Section 3.11(b) shall not apply
to amounts paid in settlement of any such loss, claim, damage, liability or
action if such settlement is effected without the consent of the Holder, which
consent shall not be unreasonably withheld; provided further, that in no event
shall any indemnity under this Section 3.11(b) exceed the net proceeds from the
offering received by such Holder.

          (c)  Promptly after receipt by an indemnified party under this Section
3.11 of notice of the commencement of any action (including any governmental
action), such indemnified party will, if a claim in respect thereof is to be
made against any indemnifying party under this Section 3.11, deliver to the
indemnifying party a written notice of the commencement thereof and the
indemnifying party shall have the right to participate in, and, to the extent
the indemnifying party so desires, jointly with any other indemnifying party
similarly noticed, to assume the defense thereof with counsel reasonably
satisfactory to the indemnified party; provided, however, that an indemnified
party shall have the right to retain its own counsel, with the fees and expenses
to be paid by the indemnifying party, if representation of such indemnified
party by the counsel retained by the indemnifying party would be inappropriate
due to actual or reasonably likely differing interests between such indemnified
party and any other party represented by such counsel in such proceeding.  The
failure to deliver written notice to the indemnifying party within a reasonable
time of the commencement of any such action, if materially prejudicial to its
ability to defend such action, shall relieve such indemnifying party of any
liability to the indemnified party under this Section 3.11, but the omission to
so deliver written notice to the indemnifying party will not relieve it of any
liability that it may have to any indemnified party otherwise than under this
Section 3.11.

          (d)  If the indemnification provided for in this Section 3.11 is held
by a court of competent jurisdiction to be unavailable to an indemnified party
with respect to any losses, claims, damages or liabilities referred to herein,
the indemnifying party, in lieu of indemnifying such indemnified party
thereunder, shall to the extent permitted by applicable law contribute to the
amount paid or payable by such indemnified party as a result of such loss,
claim, damage or liability in such proportion as is appropriate to reflect the
relative fault of the indemnifying party on the one hand and of the indemnified
party on the other in connection with the Violation(s) that resulted in such
loss, claim, damage or liability, as well as any other relevant equitable
considerations.  The relative fault of the indemnifying party and of the
indemnified party shall be determined by a court of law by reference to, among
other things, whether the untrue or alleged

                                      11.
<PAGE>

untrue statement of a material fact or the omission to state a material fact
relates to information supplied by the indemnifying party or by the indemnified
party and the parties' relative intent, knowledge, access to information and
opportunity to correct or prevent such statement or omission; provided, that, in
no event shall any contribution by a Holder hereunder exceed the net proceeds
from the offering received by such Holder.

          (e)  The obligations of the Company and Holders under this Section
3.11 shall survive completion of any offering of Registrable Securities in a
registration statement. No Indemnifying Party, in the defense of any such claim
or litigation, shall, except with the consent of each Indemnified Party, consent
to entry of any judgment or enter into any settlement which does not include as
an unconditional term thereof the giving by the claimant or plaintiff to such
Indemnified Party of a release from all liability in respect to such claim or
litigation.

     3.12 Rule 144 Reporting.  With a view to making available to the Holders
the benefits of certain rules and regulations of the SEC which may permit the
sale of the Registrable Securities to the public without registration, the
Company agrees to use its best efforts to:

          (a)  Make and keep public information available, as those terms are
understood and defined in SEC Rule 144 or any similar or analogous rule
promulgated under the Securities Act, at all times after the effective date of
the first registration filed by the Company for an offering of its securities to
the general public.

          (b)  File with the SEC, in a timely manner, all reports and other
documents required of the Company under the Exchange Act;

          (c)  So long as a Holder owns any Registrable Securities, furnish to
such Holder forthwith upon request:  a written statement by the Company as to
its compliance with the reporting requirements of said Rule 144 of the
Securities Act, and of the Exchange Act (at any time after it has become subject
to such reporting requirements); a copy of the most recent annual or quarterly
report of the Company; and such other reports and documents as a Holder may
reasonably request in availing itself of any rule or regulation of the SEC
allowing it to sell any such securities without registration.

4.   Covenants of the Company.

     4.1  Basic Financial Information and Reporting.

          (a)  The Company will maintain true books and records of account in
which full and correct entries will be made of all its business transactions
pursuant to a system of accounting established and administered in accordance
with generally accepted accounting principles consistently applied, and will set
aside on its books all such proper accruals and reserves as shall be required
under generally accepted accounting principles consistently applied.

          (b)  So long as an Investor (with its affiliates) shall own not less
than two hundred fifty thousand (250,000) shares of Registrable Securities (as
adjusted for stock dividends, stock splits, recapitalizations and the like) (a
"Major Investor"), as soon as practicable after the end of each fiscal year of
the Company, and in any event within ninety (90) days thereafter, the Company
will furnish each such Major Investor an audited consolidated

                                      12.
<PAGE>

balance sheet of the Company, as at the end of such fiscal year, an audited
consolidated statement of income and an audited consolidated statement of cash
flows of the Company, for such year, all prepared in accordance with generally
accepted accounting principles and setting forth in each case, in comparative
form, the figures for the previous fiscal year, all in reasonable detail.

     4.2  Inspection Rights.  Each Major Investor shall have the right to visit
and inspect any of the properties of the Company or any of its subsidiaries, and
to discuss the affairs, finances and accounts of the Company or any of its
subsidiaries with its officers, and to review such information as is reasonably
requested; provided, however, that the Company shall not be obligated under this
Section 4.2 with respect to a competitor of the Company or with respect to
information which the Board of Directors determines in good faith is
confidential and should not, therefore, be disclosed.

     4.3  Confidentiality of Records.  Each Investor agrees to use, and to use
its best efforts to insure that its authorized representatives uses, the same
degree of care as such Investor uses to protect its own confidential information
to keep confidential any information furnished to it which the Company
identifies as being confidential or proprietary (so long as such information is
not in the public domain), except that such Investor may disclose such
proprietary or confidential information to any partner, subsidiary or parent of
such Investor for the purpose of evaluating its investment in the Company as
long as such partner, subsidiary or parent is advised of the confidentiality
provisions of this Section 4.3.

     4.4  Reservation of Common Stock.  The Company will at all times reserve
and keep available, solely for issuance and delivery upon the conversion of the
Series A Stock, Series B Stock and Series C Stock, all Common Stock issuable
from time to time upon such conversion.

     4.5  SEC Compliance.  During any time that the Company is subject to the
reporting requirements of the Exchange Act, the Company shall timely file all
required reports pursuant to the Exchange Act.  Additionally, the Company shall
make available to Investors the information contemplated by Rule 144A.  At such
time that any stock held by an Investor is eligible for transfer pursuant to
Rule 144(k), the Company shall, upon the request of such Investor, remove any
restrictive legend from the applicable stock certificate at no cost to such
Investor.

     4.6  Proprietary Information and Inventions Agreement.  The Company shall
require all employees and consultants to execute and deliver a Proprietary
Information and Inventions Agreement.

     4.7  Termination of Covenants.  All covenants of the Company contained in
Section 4 of this Agreement shall expire and terminate as to each Investor on
the effective date of the registration statement pertaining to the Initial
Offering.

5.   Preemptive Rights.

     5.1  Subsequent Offerings.  Each Major Investor shall have a preemptive
right to purchase up to its pro rata share of all Equity Securities that the
Company may, from time to time, propose to sell and issue after the date of this
Agreement, other than the Equity Securities excluded by Section 5.6 hereof.
Each Investor's pro rata share is equal to the ratio of (A) the

                                      13.
<PAGE>

number of shares of the Company's Common Stock (including all shares of Common
Stock issued or issuable upon conversion of the Shares) which such Investor is
deemed to be a holder immediately prior to the issuance of such Equity
Securities to (B) the total number of shares of the Company's outstanding Common
Stock on a fully-diluted basis (including all shares of Common Stock issued or
issuable upon the exercise of outstanding options, warrants or convertible
securities) immediately prior to the issuance of the Equity Securities.

     5.2  Exercise of Rights. If the Company proposes to issue any Equity
Securities, it shall give each Investor written notice of its intention,
describing the Equity Securities, the price and the terms and conditions upon
which the Company proposes to issue the same. Each Investor shall have fifteen
(15) days from the giving of such notice to agree to purchase up to its pro rata
share of the Equity Securities for the price and upon the terms and conditions
specified in the notice by giving written notice to the Company and stating
therein the quantity of Equity Securities to be purchased. Notwithstanding the
foregoing, the Company shall not be required to offer or sell such Equity
Securities to any Investor who would cause the Company to be in violation of
applicable federal securities laws by virtue of such offer or sale.

     5.3  Issuance of Equity Securities to Other Investors. If not all of the
Investors elect to purchase their pro rata share of the Equity Securities, then
the Company shall promptly notify in writing the Investors who do so elect and
shall offer such Investors the right to acquire such unsubscribed shares. The
Investors shall have five (5) days after receipt of such notice to notify the
Company of its election to purchase all or a portion thereof of the unsubscribed
shares. If the Investors fail to exercise in full their preemptive rights, the
Company shall have ninety (90) days thereafter to sell the Equity Securities in
respect of which the Investor's rights were not exercised, at a price and upon
general terms and conditions materially no more favorable to the purchasers
thereof than specified in the Company's notice to the Investors pursuant to
Section 5.2 hereof. If the Company has not sold such Equity Securities within
one hundred twenty (120) days of the notice provided pursuant to Section 5.2,
the Company shall not thereafter issue or sell any Equity Securities, without
first offering such securities to the Investors in the manner provided above.

     5.4  Termination of Preemptive Rights. The preemptive rights established by
this Section 5 shall not apply to, and shall terminate upon, the effective date
of the registration statement pertaining to the Initial Offering.

     5.5  Transfer of Preemptive Rights. The preemptive rights of each Investor
under this Section 5 may be transferred to the same parties, subject to the same
restrictions, as any transfer of registration rights pursuant to Section 3.9.

     5.6  Excluded Securities. The preemptive rights established by this Section
5 shall have no application to any of the following Equity Securities:

          (a)  shares of Common Stock (and/or options, warrants or other Common
Stock purchase rights issued pursuant to such options, warrants or other rights)
(as adjusted for stock splits, recapitalizations and the like) issued or to be
issued to employees, officers or directors of, or consultants or advisors to the
Company or any subsidiary, pursuant to stock

                                      14.
<PAGE>

purchase or stock option plans or other arrangements that are approved by the
Board of Directors;

          (b)  stock issued pursuant to any rights or agreements outstanding as
of the date of this Agreement, options, warrants and convertible promissory
notes outstanding as of the date of this Agreement; and stock issued pursuant to
any such rights or agreements granted after the date of this Agreement,
provided, that, the preemptive rights established by this Section 5 applied with
respect to the initial sale or grant by the Company of such rights or
agreements;

          (c)  any Equity Securities issued for consideration other than cash
pursuant to a merger, consolidation, acquisition or similar business combination
in which the stockholders of the Company immediately prior to such transaction
own less than 50% of the voting power of the surviving entity;

          (d)  shares of Common Stock issued in connection with any stock split,
stock dividend or recapitalization by the Company;

          (e)  shares of Common Stock issued upon conversion of the Shares;

          (f)  any Equity Securities that are issued by the Company pursuant to
a registration statement filed under the Securities Act; and

          (g)  any Equity Securities issued pursuant to any commercial loan or
leasing transaction.

6.   Miscellaneous.

     6.1  Governing Law. This Agreement shall be governed in all respects by the
laws of the State of Colorado as such laws are applied to agreements between
Colorado residents entered into and performed entirely in Colorado.

     6.2  Successors and Assigns. Except as otherwise expressly provided herein,
the provisions hereof shall inure to the benefit of, and be binding upon, the
successors, assigns, heirs, executors, and administrators of the parties hereto
and shall inure to the benefit of and be enforceable by each person who shall be
a holder of Registrable Securities from time to time; provided, however, that
prior to the receipt by the Company of adequate written notice of the transfer
of any Registrable Securities specifying the full name and address of the
transferee, the Company may deem and treat the person listed as the holder of
such shares in its records as the absolute owner and holder of such shares for
all purposes, including the payment of dividends or any redemption price.

     6.3  Severability. In case any provision of the Agreement shall be invalid,
illegal, or unenforceable, the validity, legality, and enforceability of the
remaining provisions shall not in any way be affected or impaired thereby.

                                      15.
<PAGE>

     6.4  Amendment and Waiver.

          (a)  Except as otherwise expressly provided, this Agreement may be
amended or modified only upon the written consent of the Company and the holders
of at least a majority of the Registrable Securities.

          (b)  Except as otherwise expressly provided, the obligations of the
Company and the rights of the Holders under this Agreement may be waived only
with the written consent of at least a majority of the Registrable Securities.

     6.5  Notices, Etc. All notices required or permitted hereunder shall be
deemed effectively given: (i) upon personal delivery to the party to be
notified, (ii) when sent by confirmed telex or facsimile if sent during normal
business hours of the recipient; if not, then on the next business day, (iii)
five (5) days after having been sent by registered or certified mail, return
receipt requested, postage prepaid, or (iv) one (1) day after deposit with a
nationally recognized overnight courier, specifying next day delivery, with
written verification of receipt. All communications shall be sent to the party
to be notified at the address set forth on the signature pages hereto or Exhibit
                                                                         -------
A hereto or at such other address as such party may designate by ten (10) days
-
advance written notice to the other parties hereto.

     6.6  Attorneys' Fees. If legal action is brought to enforce or interpret
this Agreement, the prevailing party shall be entitled to recover from the
losing party all fees, costs and expenses of enforcing any rights of such
prevailing party under or with respect to this Agreement, including without
limitation, such reasonable fees and expenses of attorneys and accountants,
which shall include, without limitation, all fees, costs and expenses of
appeals.

     6.7  Titles and Subtitles. The titles of the paragraphs and subparagraphs
of this Agreement are for convenience of reference only and are not to be
considered in construing this Agreement.

     6.8  Complete Agreement. This Agreement constitutes the entire agreement
and supersedes all other prior and contemporaneous agreements and undertakings,
both written and oral, between the parties hereto with regard to the subject
matter hereof.

     6.9  Counterparts. This Agreement may be executed in any number of
counterparts, each of which shall be an original, but all of which together
shall constitute one instrument.

               [REMAINDER OF THIS PAGE INTENTIONALLY LEFT BLANK]

                                      16.
<PAGE>

     In Witness Whereof, the parties hereto have executed this Agreement as of
the date set forth in the first paragraph hereof.

COMPANY:                                     INVESTORS:

Genomica Corporation                         ______________________________

4001 Discovery Drive
Boulder, CO 80303

By: ____________________________             By: __________________________

Name: Teresa W. Ayers                        Name: ________________________

Title: Chief Executive Officer               Title: _______________________

               Amended and Restated Investor's Rights Agreement
<PAGE>

                                   Exhibit A

                             Genomica Corporation
                          Investors' Rights Agreement

Series A Stockholders

Name and Address
----------------

Invesco Global Health Sciences Fund
Mr. John R. Shroer
7800 East Union Avenue
Mail Stop 1100
Denver, CO 80237

Falcon Technology Partners, L.P.
Attn: James L. Rathmann
600 Dorset Road
Devon, PA 19333

Arch Venture Fund III, L.P.
Attn: Robert Nelsen
1000 2/nd/ Avenue
Suite 3700
Seattle, WA 98104

Boulder Ventures, L.P.
Attn: Kyle Lefkoff
1634 Walnut Street
Suite 301
Boulder, CO 80302

Pegasus Technology Ventures, L.L.C.
4430 Arapahoe Avenue
Suite 200
Boulder, CO 80303

The Caruthers Family, L.L.C.
Attn: Dr. Marvin Caruthers
2450 Cragmoor
Boulder, CO 80303

Frank A. Bonsal, Jr.
NEA Development Corp.
1119 St. Paul Street
Baltimore, MD 21202

David B. Musket SEP IRA
MRA
125 Cambridge Park Drive
Cambridge MA 02140

Harris and Harris Group, Inc.
1 Rockefeller Plaza

                                       1
<PAGE>

Rockefeller Center
14 West 49/th/ Street
New York, NY 10020

Series B Stockholders

Name and Address
----------------

Falcon Technology Partners, L.P.
Attn:  James L. Rathmann
600 Dorset Road
Devon, PA 19333

Invesco Global Health Sciences Fund
Mr. John R. Shroer
7800 East Union Avenue
Mail Stop 1100
Denver, CO 80237

ARCH Ventures Fund III, L.P.
Attn: Robert Nelsen
1000 2/nd/ Avenue
Suite 3700
Seattle, WA 98104

Boulder Ventures II, L.P.
Attn: Kyle Lefkoff
1634 Walnut Street
Suite 301
Boulder, CO 80302

Anvers, L.P.
Attn: Leo Swergold
230 Park Avenue
13/th/ Floor
New York, NY 10169

Anvers II, L.P.
Attn: Leo Swergold
230 Park Avenue
13/th/ Floor
New York, NY 10169

Boulder Ventures II (Annex), L.P.
Attn: Kyle Lefkoff
1634 Walnut Street
Suite 301
Boulder, CO 80302

The Caruthers Family L.L.C.
Attn: Marvin H. Caruthers
2450 Cragmoor
Boulder, CO 80303

                                      2.
<PAGE>

Series B Stockholders

Name and Address
----------------

Boulder Ventures, L.P.
Attn:  Kyle Lefkoff
1634 Walnut Street, Suite 301
Boulder, CO 80302

GC&H Investments
Attn: Jim Kindler
One Maritime Plaza, 20/th/ Floor
San Francisco, CA 94111

Marc Epstein
3091 Miro Drive North
Palm Beach Gardens, FL 33411

Stuart A. Epstein
3091 Miro Drive North
Palm Beach Gardens, FL 33411

Kaufmann Fund, Inc.
Attn: Mary Ann Gray, Ph.D.
140 East 45/th/ Street
43/rd/ Floor
New York, NY 10017

Punk, Ziegel & Company
Investors, L.L.C.
520 Madison Avenue
New York, NY 10022

Tyjo Corporation Defined Benefit
Plan and Trust
C/O Reedland Capital Partners
Attn: President
21 Tamal Vista Blvd., Suite 201
Corte Madera, CA 94925

Series C Stockholders

Name and Address
----------------

The Kaufmann Fund, Inc.
Attn: Mary Ann Gray, Ph.D.
140 East 45/th/ Street
43/rd/ Floor
New York, NY 10017

Falcon Technology Partners, L.P.
Attn: James L. Rathmann
600 Dorset Road

                                      3.
<PAGE>

Series C Stockholders

Name and Address
----------------

Devon, PA 19333
Invesco Global Health Sciences Fund
Attn: Mr. John R. Shroer
7800 East Union Avenue
Mail Stop 1100
Denver, CO 80237

ARCH Ventures Fund III, L.P.
Attn: Robert Nelsen
1000 2/nd/ Avenue
Suite 3700
Seattle, WA 98104

Boulder Ventures II, L.P.
Attn: Kyle Lefkoff
1634 Walnut Street
Suite 301
Boulder, CO 80302

Boulder Ventures II (Annex), L.P.
Attn: Kyle Lefkoff
1634 Walnut Street
Suite 301

Boulder, CO 80302
Anvers, L.P.
Attn: Leo Swergold
230 Park Avenue
13/th/ Floor
New York, NY 10169

Anvers II, L.P.
Attn: Leo Swergold
230 Park Avenue
13/th/ Floor
New York, NY 10169

Punk, Ziegel & Company Investors, L.L.C.
520 Madison Avenue
New York, NY 10022

Tyjo Corporation Defined Benefit
Plan and Trust
C/O Reedland Capital Partners
Attn: President
21 Tamal Vista Blvd., Suite 201
Corte Madera, CA  94925

The Caruthers Family, L.L.C.

                                      4.
<PAGE>

Series C Stockholders

Name and Address
----------------

Attn: Dr. Marvin Caruthers
2450 Cragmoor
Boulder, CO 80303

GC&H Investments
Attn: Jim Kindler
One Maritime Plaza, 20/th/ Floor
San Francisco, CA 94111

Marc Epstein
3091 Miro Drive North
Palm Beach Gardens, FL 33411

Stuart A. Epstein
3091 Miro Drive North
Palm Beach Gardens, FL 33411

Frank A. Bonsal, Jr.
NEA Development Corp.
1119 St. Paul Street
Baltimore, MD 21202

Harris and Harris Group, Inc.
1 Rockefeller Plaza
Rockefeller Center
14 West 49/th/ Street
New York, NY 10020

David B. Musket
MRA
125 Cambridge Park Drive
Cambridge MA 02140

Pegasus Technology Ventures, L.L.C.
4430 Arapahoe Avenue
Suite 200
Boulder, CO 80303

________________________

Other Investors

Name and Address
----------------

Thomas G. Marr
484 Stoneham Road
Saginaw, MI 48603

James L. Rathmann
600 Dorset Road
Devon, PA 19333

                                      5.
<PAGE>

Other Investors

Name and Address
----------------

Margaret C. Rathmann
600 Dorset Road
Devon, PA 19333

Laura Jean Rathmann
600 Dorset Road
Devon, PA 19333

Sally A. Rathmann
600 Dorset Road
Devon, PA 19333

Richard G. Rathmann
600 Dorset Road
Devon, PA 19333

Jacqueline Salit
16 Fairchild St.
Huntington, NY 11743

Steven Cozza
7701 Devonshire Ct.
Boulder, CO 80301

Donald Fisher
828 Camp Circle
Phoenixville, PA 19460

Cold Spring Harbor Laboratory
1 Bungtown Road
Cold Spring Harbor, NY 11724

John Maroney
Cold Spring Harbor Lab
PO Box 100
1 Bungtown Road
Cold Spring New York 11724

                                      6.<PAGE>

                                                                   Exhibit 10.12

                                 WARRANT NO. 1

THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE BEEN ACQUIRED FOR INVESTMENT
AND HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED, OR
ANY STATE SECURITIES LAWS. SUCH SECURITIES MAY NOT BE SOLD OR TRANSFERRED IN THE
ABSENCE OF SUCH REGISTRATION OR AN EXEMPTION THEREFROM UNDER SAID ACT AND ANY
APPLICABLE STATE SECURITIES LAWS.

                              WARRANT TO PURCHASE
                         STOCK OF GENOMICA CORPORATION

          This certifies that FALCON TECHNOLOGY PARTNERS, L.P., or its assigns
(the "Holder"), for value received, is entitled to purchase from GENOMICA
CORPORATION, a Delaware corporation (the "Company"), the Maximum Number, as
hereinafter defined, (i) if a Qualified Financing (as such term is defined in
that Convertible Promissory Note (the "Note"), of even date herewith, between
the Company and Holder) is completed on or before May 31, 1997, of fully paid
and nonassessable shares of the Company's New Preferred Stock (as such term is
defined in the Note) for cash at the original issue price per share of the New
Preferred Stock issued in such Qualified Financing; or (ii) if a Qualified
Financing shall not have occurred prior to the date of exercise (and such
exercise occurs prior to May 31, 1997) or if a Qualified Financing shall not
have occurred on or before May 31, 1997, at all times thereafter, of fully paid
and nonassessable shares of the Company's Series A Convertible Preferred Stock,
par value $.001 per share (the "Series A Preferred"), for cash at the
liquidation preference (currently, $.6024) of the Series A Preferred then in
effect at the time of exercise (in either case, the "Stock Purchase Price").

          Such purchase may occur at any time or from time to time during the
Exercise Period, as hereinafter defined, upon surrender to the Company at its
principal office (or at such other location as the Company may advise the Holder
in writing) of this Warrant properly endorsed with the Form of Subscription,
attached as Exhibit A hereto, duly filled in and signed and upon payment in cash
or by check of the aggregate Stock Purchase Price for the number of shares for
which this Warrant is being exercised determined in accordance with the
provisions hereof.  The "Exercise Period" shall commence on the date hereof (the
"Commencement Date"); and shall extend up to and including 5:00 p.m. (Eastern
time) on the earlier of (X) the closing of the initial public offering of the
Company's Common Stock pursuant to a registration statement (other than on Form
S-4 or S-8 or a successor form thereto) under the Securities Act of 1933, as
amended (an "Initial Public Offering") or (Y) November 30, 2001, such earlier
day being referred to herein as the "Expiration Date".

          "Maximum Number" shall mean that number computed using the following
formula:

                                       1.
<PAGE>

                    M = (.15)x(P)
                        ---------

              S

          Where M =  Maximum Number

                     P =    the principal amount disbursed by the Holder
                            pursuant to the Note

                     S =    the Stock Purchase Price.

          The Stock Purchase Price and the number of shares purchasable
hereunder are subject to adjustment as provided in Section 3 of this Warrant.

          This Warrant is subject to the following terms and conditions:

            Exercise; Issuance of Certificates; Payment for Shares.
            ------------------------------------------------------

               General.  This Warrant is exercisable at the option of the
               -------
Holder of record hereof, at any time or from time to time, commencing on the
Commencement Date up to the Expiration Date for all or any part of the shares
(but not for a fraction of a share) of New Preferred Stock, Series A Preferred
or any other security which may be purchased hereunder (hereinafter referred to
as "Stock"). The Company agrees that the shares of Stock purchased under this
Warrant shall be and are deemed to be issued to the Holder hereof as the record
owner of such shares as of the close of business on the date on which this
Warrant shall have been surrendered, properly endorsed, the completed, executed
Form of Subscription delivered and payment made for such shares. Certificates
for the shares of Stock so purchased, together with any other securities or
property to which the Holder hereof is entitled upon such exercise, shall be
delivered to the Holder hereof by the Company at the Company's expense within a
reasonable time after the rights represented by this Warrant have been so
exercised. In case of a purchase of less than all the shares which may be
purchased under this Warrant, the Company shall cancel this Warrant and execute
and deliver a new Warrant or Warrants of like tenor for the balance of the
shares purchasable under the Warrant surrendered upon such purchase to the
Holder hereof within a reasonable time. Each stock certificate so delivered
shall be in such denominations of Stock as may be reasonably requested by the
Holder hereof and shall be registered in the name of such Holder.

               Net Issue Exercise.  Notwithstanding any provisions herein to the
               ------------------
contrary, if the fair market value of one share of the Company's Stock is
greater than the Stock Purchase Price (at the date of calculation as set forth
below), in lieu of exercising this Warrant for cash, the Holder may elect to
receive shares equal to the value (as determined below) of this Warrant (or the
portion thereof being canceled) by surrender of this Warrant at the principal
office of the Company together with the properly endorsed Form of Subscription
and notice of such election in which event the Company shall issue to the Holder
a number of shares of Stock computed using the following formula:

               X = Y(A-B)

                                       2.
<PAGE>

            A

          Where X =  the number of shares of Stock to be issued to the Holder

                     Y =  the number of shares of Stock purchasable under the
                          Warrant or, if only a portion of the Warrant is being
                          exercised, the portion of the Warrant being canceled
                          (at the date of such calculation)

                     A =  the fair market value of one share of Stock (at the
                          date of such calculation)

                     B =  Stock Purchase Price (as adjusted to the date of such
                          calculation)

For purposes of this Warrant, fair market value of one share of Stock shall be
determined by the Company's Board of Directors in good faith; provided, however,
that in the event the Company makes an Initial Public Offering, the fair market
value per share of Stock shall be the per share offering price to the public of
the Company's Initial Public Offering.

               Shares to be Fully Paid; Reservation of Shares.  The Company
               ----------------------------------------------
covenants and agrees that all shares of Stock which may be issued upon the
exercise of the rights represented by this Warrant will, upon issuance, be duly
authorized, validly issued, fully paid and nonassessable and free from all
preemptive rights of any shareholder and free of all taxes, liens and charges
with respect to the issue thereof. The Company further covenants and agrees that
during the period within which the rights represented by this Warrant may be
exercised, the Company will at all times have authorized and reserved, for the
purpose of issue or transfer upon exercise of the subscription rights evidenced
by this Warrant, a sufficient number of shares of authorized but unissued Stock,
or other securities and property, when and as required to provide for the
exercise of the rights represented by this Warrant. The Company will take all
such action as may be necessary to assure that such shares of Stock may be
issued as provided herein without violation of any applicable law or regulation,
or of any requirements of any domestic securities exchange upon which the Stock
may be listed; provided, however, that the Company shall not be required to
effect a registration under Federal or State securities laws with respect to
such exercise, except as provided by other agreements between the Company and
Holder. The Company will not take any action which would result in any
adjustment of the Stock Purchase Price (as defined in Section 3 hereof) if the
total number of shares of Stock issuable after such action upon exercise of all
outstanding warrants, together with all shares of Stock then issuable upon
exercise of all options and upon the conversion of all convertible securities
then outstanding, would exceed the total number of shares of Stock then
authorized by the Company's Articles.

               Adjustment of Stock Purchase Price and Number of Shares.  Upon
               -------------------------------------------------------
each adjustment of the Stock Purchase Price as provided in Section 3, the holder
of this Warrant shall thereafter be entitled to purchase, at the Stock Purchase
Price resulting from such adjustment, the number of shares (calculated to the
nearest tenth of a share) obtained by multiplying the Stock

                                       3.
<PAGE>

Purchase Price in effect immediately prior to such adjustment by the number of
shares purchasable pursuant hereto immediately prior to such adjustment and
dividing the product thereof by the Stock Purchase Price resulting from such
adjustment.

          Section Adjustment of Price upon Issuance of Stock.  If and whenever
                  ------------------------------------------
the Company shall issue or sell any shares of its Stock for a consideration per
share less than the Stock Purchase Price in effect at the time of such issue or
sale, then, forthwith upon such issue or sale the Stock Purchase Price shall be
adjusted (calculated to the nearest $.01) determined by multiplying the Stock
Purchase Price by a fraction, the numerator of which is the amount equal to the
sum of (a) the number of shares of Stock outstanding immediately prior to such
issue or sale multiplied by the Stock Purchase Price in effect prior to such
issuance or sale, and (b) the consideration, if any, received by the Company
upon such issue or sale, and the denominator of which is the amount equal to the
total number of shares of Stock outstanding immediately after such issue or sale
multiplied by the Stock Purchase Price in effect prior to such issuance or sale.
No adjustments of the Stock Purchase Price, however, shall be made in an amount
less than $.01 per share, but any such lesser adjustment shall be carried
forward and shall be made at the time and together with the next subsequent
adjustment which together with any adjustments so carried forward shall amount
to $.01 per share or more.

          For purposes of this Section 3, the following paragraphs (a) to (k),
inclusive, shall also be applicable:

                 Issuance of Rights or Options.  In case at any time the Company
                 -----------------------------
     shall in any manner grant (whether directly or by assumption in a merger or
     otherwise) any rights to subscribe for or to purchase, or any options for
     the purchase of, Stock or any stock or securities convertible into or
     exchangeable for Stock (such rights or options being herein called
     "Options", and such convertible or exchangeable stock or securities being
     herein called "Convertible Securities") whether or not such Options or the
     right to convert or exchange any such Convertible Securities are
     immediately exercisable, and the price per share for which Stock is
     issuable upon the exercise of such Options or upon conversion or exchange
     of such Convertible Securities (determined by dividing (i) the total
     amount, if any, received or receivable by the Company as consideration for
     the granting of such Options, plus the minimum aggregate amount of
     additional consideration payable to the Company upon the exercise of all
     such Options, plus, in the case of such Options which relate to Convertible
     Securities, the minimum aggregate amount of additional consideration, if
     any, payable upon the issue or sale of such Convertible Securities and upon
     the conversion or exchange thereof, by (ii) the total maximum number of
     shares of Stock issuable upon the exercise of such Options or upon the
     conversion or exchange of all such Convertible Securities issuable upon the
     exercise of such Options) shall be less than the Stock Purchase Price then
     in effect at the time of the granting of such Options, then the total
     maximum number of shares of Stock issuable upon the exercise of such
     Options or upon conversion or exchange of the total maximum amount of such
     Convertible Securities issuable upon the exercise of such Options shall be
     deemed to have been issued for such price per share as of the date of
     granting of such Options and thereafter shall be deemed to be outstanding.
     Except as otherwise provided in paragraph (c), no adjustment of the Stock
     Purchase Price shall be made upon the actual issue of

                                       4.
<PAGE>

     such Stock or of such Convertible Securities upon exercise of such Options
     or upon the actual issue of such Stock upon conversion or exchange of such
     Convertible Securities.

               Issuance of Convertible Securities.  In case the Company shall in
               ----------------------------------
     any manner issue (whether directly or by assumption in a merger or
     otherwise) or sell any Convertible Securities, whether or not the rights to
     exchange or convert thereunder are immediately exercisable, and the price
     per share for which Stock is issuable upon such conversion or exchange
     (determined by dividing (i) the total amount received or receivable by the
     Company as consideration for the issue or sale of such Convertible
     Securities, plus the minimum aggregate amount of additional consideration,
     if any, payable to the Company upon the conversion or exchange of all such
     Convertible Securities by (ii) the total number of shares of Stock into
     which all such Convertible Securities are convertible) shall be less than
     the Stock Purchase Price then in effect at the time of such issue or sale,
     then the total maximum number of shares of Stock issuable upon conversion
     or exchange of all such Convertible Securities shall be deemed to have been
     issued for such price per share as of the date of the issue or sale of such
     Convertible Securities and thereafter shall be deemed to be outstanding,
     provided that (i) except as otherwise provided in paragraph (c) below, no
     adjustment of the Stock Purchase Price shall be made upon the actual issue
     of such Stock upon conversion or exchange of such Convertible Securities,
     and (ii) if any such issue or sale of such Convertible Securities is made
     upon exercise of any Option to purchase any such Convertible Securities for
     which adjustments of the Stock Purchase Price have been or are to be made
     pursuant to other provisions of this Section 3, no further adjustment of
     the Stock Purchase Price shall be made by reason of such issue or sale.

               Change in Option Price or Conversion Rate.  Upon the happening of
               -----------------------------------------
     any of the following events, namely, if the purchase price provided for in
     any Option referred to in paragraph (a), the additional consideration, if
     any, payable upon the conversion or exchange of any Convertible Securities
     referred to in paragraph (a) or (b), or the rate at which any Convertible
     Securities referred to in paragraph (a) or (b) are convertible into or
     exchangeable for Stock shall change at any time (other than under or by
     reason of provisions designed to protect against dilution), the Stock
     Purchase Price in effect at the time of such event shall forthwith be
     readjusted to the Stock Purchase Price which would have been in effect at
     such time had such Options or Convertible Securities still outstanding at
     the time of such change originally provided for such changed purchase
     price, additional consideration or conversion rate, as the case may be, at
     the time initially granted, issued or sold; and on the expiration of any
     such Option or the termination of any such right to convert or exchange
     such Convertible Securities, the Stock Purchase Price then in effect
     hereunder shall forthwith be increased to the Stock Purchase Price which
     would have been in effect at the time of such expiration or termination had
     such Option or Convertible Security, to the extent outstanding immediately
     prior to such expiration or termination, never been issued, and the Stock
     issuable thereunder shall no longer be deemed to be outstanding.

     If the purchase price provided for in any such Option referred to in
     paragraph (a) or the rate at which any Convertible Securities referred to
     in paragraph (a) or (b) are convertible

                                       5.
<PAGE>

     into or exchangeable for Stock, shall be reduced at any time under or by
     reason of provisions with respect thereto designed to protect against
     dilution, then in case of the delivery of Stock upon the exercise of any
     such Option or upon conversion or exchange of any such Convertible
     Security, the Stock Purchase Price then in effect hereunder shall forthwith
     be adjusted to such respective amount as would have been obtained had such
     Option or Convertible Security never been issued as to such Stock and had
     adjustments been made upon the issuance of the shares of Stock delivered as
     aforesaid, but only if as a result of such adjustment the Stock Purchase
     Price then in effect hereunder is thereby reduced.

               Stock Dividends.  In case the Company shall declare a dividend or
               ---------------
     make any other distribution upon any stock of the Company payable in Stock,
     Options or Convertible Securities, any Stock, Options or Convertible
     Securities, as the case may be, issuable in payment of such dividend or
     distribution shall be deemed to have been issued or sold without
     consideration.

               Consideration for Stock.  In case any shares of Stock, Options or
               -----------------------
     Convertible Securities shall be issued or sold for cash, the consideration
     received therefor shall be deemed to be the amount received by the Company
     therefor, without deduction therefrom of any expenses incurred or any
     underwriting commissions or concessions paid or allowed by the Company in
     connection therewith. In case any shares of Stock, Options or Convertible
     Securities shall be issued or sold for a consideration other than cash, the
     amount of the consideration other than cash received by the Company shall
     be deemed to be the fair value of such consideration as determined by the
     Board of Directors of the Company, without deduction of any expenses
     incurred or any underwriting commissions or concessions paid or allowed by
     the Company in connection therewith.  The amount of consideration deemed to
     be received by the Company pursuant to the foregoing provisions of this
     paragraph (e) upon any issuance and/or sale, pursuant to an established
     compensation plan of the Company, to directors, officers or employees of
     the Company in connection with their employment of shares of Stock, Options
     or Convertible Securities, shall be increased by the amount of any tax
     benefit realized by the Company as a result of such issuance and/or sale,
     the amount of such tax benefit being the amount by which the Federal and/or
     State income or other tax liability of the Company shall be reduced by
     reason of any deduction or credit in respect of such issuance and/or sale.
     In case any Options shall be issued in connection with the issue and sale
     of other securities of the Company, together comprising one integral
     transaction in which no specific consideration is allocated to such Options
     by the parties thereto, such Options shall be deemed to have been issued
     without consideration. In case any shares of Stock, Options or Convertible
     Securities shall be issued in connection with any merger or consolidation
     in which the Company is the surviving corporation, the amount of
     consideration therefor shall be deemed to be the fair value as determined
     by the Board of Directors of the Company of such portion of the assets and
     business of the non-surviving corporation as such Board shall determine to
     be attributable to such Stock, Options or Convertible Securities, as the
     case may be. In the event of any consolidation or merger of the Company in
     which the Company is not the surviving corporation or in the event of any
     sale of all or substantially all of the assets of the Company for stock or
     other securities of

                                       6.
<PAGE>

     any corporation, the Company shall be deemed to have issued a number of
     shares of its Stock for stock or securities of the other corporation
     computed on the basis of the actual exchange ratio on which the transaction
     was predicated and for a consideration equal to the fair market value on
     the date of such transaction of such stock or securities of the other
     corporation, and if any such calculation results in adjustment of the Stock
     Purchase Price, the determination of the number of shares of Stock
     receivable under this Warrant immediately prior to such merger,
     consolidation or sale, for purposes of paragraph (i), shall be made after
     giving effect to such adjustment of the Stock Purchase Price.

               Record Date.  In case the Company shall take a record of the
               -----------
     holders of its Stock for the purpose of entitling them (i) to receive a
     dividend or other distribution payable in Stock, Options or Convertible
     Securities, or (ii) to subscribe for or purchase Stock, Options or
     Convertible Securities, then such record date shall be deemed to be the
     date of the issue or sale of the shares of Stock deemed to have been issued
     or sold upon the declaration of such dividend or the making of such other
     distribution or the date of the granting of such right of subscription or
     purchase, as the case may be.

               Treasury Shares.  The number of shares of Stock outstanding at
               ---------------
     any given time shall not include shares owned or held by or for the account
     of the Company, and the disposition of any such shares shall be considered
     an issue or sale of Stock for the purposes of this Section 3.

               Subdivision or Combination of Stock.  In case the Company shall
               -----------------------------------
     at any time subdivide its outstanding shares of Stock into a greater number
     of shares, the Stock Purchase Price in effect immediately prior to such
     subdivision shall be proportionately reduced, and conversely, in case the
     outstanding shares of Stock of the Company shall be combined into a smaller
     number of shares, the Stock Purchase Price in effect immediately prior to
     such combination shall be proportionately increased.

               Reorganization, Reclassification, Consolidation, Merger or Sale.
               ---------------------------------------------------------------
     If any capital reorganization or reclassification of the capital stock of
     the Company or any consolidation or merger of the Company with another
     corporation, or the sale of all or substantially all of its assets to
     another corporation shall be effected in such a way that holders of Stock
     shall be entitled to receive stock, securities or assets with respect to or
     in exchange for Stock, then, as a condition of such reorganization,
     reclassification, consolidation, merger or sale, lawful and adequate
     provisions shall be made whereby each holder of the Warrants shall
     thereafter have the right to receive upon the basis and upon the terms and
     conditions specified herein and in lieu of the shares of Stock of the
     Company immediately theretofore receivable upon the exercise of such
     Warrant or Warrants, such shares of stock, securities or assets (including
     cash) as may be issued or payable with respect to or in exchange for a
     number of outstanding shares of such Stock equal to the number of shares of
     such stock immediately theretofore so receivable had such reorganization,
     reclassification, consolidation, merger or sale not taken place, and in any
     such case appropriate provision shall be made with respect to the rights
     and interests of such holder to the end that the provisions hereof
     (including without limitation provisions for adjustments of the Stock
     Purchase Price) shall thereafter be applicable, as

                                       7.
<PAGE>

     nearly as may be, in relation to any shares of stock, securities or assets
     thereafter deliverable upon the exercise of such exercise rights (including
     an immediate adjustment, by reason of such reorganization or
     reclassification, of the Stock Purchase Price to the value for the Common
     stock reflected by the terms of such reorganization or reclassification if
     the value so reflected is less than the Stock Purchase Price in effect
     immediately prior to such reorganization or reclassification). In the event
     of a merger or consolidation of the Company as a result of which a greater
     or lesser number of shares of common stock of the surviving corporation are
     issuable to holders of Stock of the Company outstanding immediately prior
     to such merger or consolidation, the Stock Purchase Price in effect
     immediately prior to such merger or consolidation shall be adjusted in the
     same manner as though there were a subdivision or combination of the
     outstanding shares of Stock of the Company. The Company will not effect any
     such consolidation, merger or any sale of all or substantially all of its
     assets of properties, unless prior to the consummation thereof the
     successor corporation (if other than the Company) resulting from such
     consolidation or merger or the corporation purchasing such assets shall
     assume by written instrument executed and mailed or delivered to each
     holder of the Warrants at the last address of such holder appearing on the
     books of the Company, the obligation to deliver to such holder such shares
     of stock, securities or assets as, in accordance with the foregoing
     provisions, such holder may be entitled to receive.

               Notice of Adjustment.  Upon any adjustment of the Stock Purchase
               --------------------
     Price, then and in each such case, the Company shall give written notice
     thereof, by first class mail, postage prepaid, addressed to each holder of
     the Warrants at the address of such holder as shown on the books of the
     Company, which notice shall state the Stock Purchase Price resulting from
     such adjustment, setting forth in reasonable detail the method of
     calculation and the facts upon which such calculation is based.

               Stock to Be Reserved.  The Company will at all times reserve and
               --------------------
     keep available out of its authorized Stock or its treasury shares, solely
     for the purpose of issue upon the exercise of this Warrant as herein
     provided, such number of shares of Stock as shall then be issuable upon the
     exercise of this Warrant.  The Company covenants that all shares of Stock
     which shall be so issued shall be duly and validly issued and fully paid
     and nonassessable and free from all taxes, liens and charges with respect
     to the issue thereof, and, without limiting the generality of the
     foregoing, the Company covenants that it will from time to time take all
     such action as may be requisite to assure that the par value per share of
     the Stock is at all times equal to or less than the effective Stock
     Purchase Price.  The Company will take all such action as may be necessary
     to assure that all such shares of Stock may be so issued without violation
     of any applicable law or regulation, or of any requirements of any national
     securities exchange upon which the stock of the Company may be listed. The
     Company will not take any action which results in any adjustment of the
     Stock Purchase Price if the total number of shares of Stock issued and
     issuable after such action upon exercise of this Warrant would exceed the
     total number of shares of Stock then authorized by the Company's Articles
     of Incorporation.  The Company has not granted and will not grant any right
     of first refusal with respect to

                                       8.
<PAGE>

     shares issuable upon exercise of this Warrant, and there are no preemptive
     rights associated with such shares.

                    Other Notices.  If at any time:
                    -------------

                         the Company shall declare any cash dividend upon its

Stock or Common Stock;

                         the Company shall declare any dividend upon its Stock
or Common Stock payable in stock or make any special dividend or other
distribution to the holders of its Stock or Common Stock;

                         the Company shall offer for subscription pro rata to
the holders of its Stock or Common Stock any additional shares of stock of any
class or other rights;

                         there shall be any capital reorganization or
reclassification of the capital stock of the Company; or consolidate or merger
of the Company with, or sale of all or substantially all of its asset to,
another corporation;

                         there shall be a voluntary or involuntary dissolution,
liquidation or winding-up of the Company; or

                         there shall be an Initial Public Offering of Company
securities;

then, in any one or more of said cases, the Company shall give, by first class
mail, postage prepaid, addressed to the Holder of this Warrant at the address of
such Holder as shown on the books of the Company, (a) at least 20 days' prior
written notice of the date on which the books of the Company shall close or a
record shall be taken for such dividend, distribution or subscription rights or
for determining rights to vote in respect of any such reorganization,
reclassification, consolidation, merger, sale, dissolution, liquidation or
winding-up, and (b) in the case of any such reorganization, reclassification,
consolidation, merger, sale, dissolution, liquidation, winding-up or public
offering, at least 20 days' prior written notice of the date when the same shall
take place; provided, however, that the Holder shall make a best efforts attempt
to respond to such notice as early as possible after the receipt thereof. Any
notice given in accordance with the foregoing clause (a) shall also specify, in
the case of any such dividend, distribution or subscription rights, the date on
which the holders of Stock or Common Stock, as the case may be, shall be
entitled thereto. Any notice given in accordance with the foregoing clause (b)
shall also specify the date on which the holders of Stock shall be entitled to
exchange their Stock for securities or other property deliverable upon such
reorganization, reclassification, consolidation, merger, sale, dissolution,
liquidation, winding-up, conversion or public offering, as the case may be.

                    Certain Events.  If any change in the outstanding Stock or
                    --------------
Common Stock of the Company or any other event occurs as to which the other
provisions of this Section 3 are not strictly applicable or if strictly
applicable would not fairly protect the

                                       9.
<PAGE>

purchase rights of the Holder of the Warrant in accordance with such provisions,
then the Board of Directors of the Company shall make an adjustment in the
number and class of shares available under the Warrant, the Stock Purchase Price
or the application of such provisions, so as to protect such purchase rights as
aforesaid. The adjustment shall be such as will give the Holder of the Warrant
upon exercise for the same aggregate Stock Purchase Price the total number,
class and kind of shares as he would have owned had the Warrant been exercised
prior to the event and had he continued to hold such shares until after the
event requiring adjustment.

               Issue Tax.  The issuance of certificates for shares of Stock
               ---------
upon the exercise of the Warrant shall be made without charge to the Holder of
the Warrant for any issue tax (other than any applicable income taxes) in
respect thereof; provided, however, that the Company shall not be required to
pay any tax which may be payable in respect of any transfer involved in the
issuance and delivery of any certificate in a name other than that of the then
holder of the Warrant being exercised.

               Closing of Books.  The Company will at no time close its transfer
               ----------------
books against the transfer of any warrant or of any shares of Stock issued or
issuable upon the exercise of any warrant in any manner which interferes with
the timely exercise of this Warrant.

               No Voting or Dividend Rights; Limitation of Liability.  Nothing
               -----------------------------------------------------
contained in this Warrant shall be construed as conferring upon the Holder
hereof the right to vote or to consent or to receive notice as a shareholder of
the Company or any other matters or any rights whatsoever as a shareholder of
the Company.  No dividends or interest shall be payable or accrued in respect of
this Warrant or the interest represented hereby or the shares purchasable
hereunder until, and only to the extent that, this Warrant shall have been
exercised. No provisions hereof, in the absence of affirmative action by the
Holder to purchase shares of Stock, and no mere enumeration herein of the rights
or privileges of the Holder hereof, shall give rise to any liability of such
Holder for the Stock Purchase Price or as a shareholder of the Company, whether
such liability is asserted by the Company or by its creditors.

               Warrants Transferable.  Subject to compliance with applicable
               ---------------------
federal and state securities laws, this Warrant and all rights hereunder are
transferable, in whole or in part, without charge to the Holder hereof (except
for transfer taxes), upon surrender of this Warrant properly endorsed.  Each
taker and holder of this Warrant, by taking or holding the same, consents and
agrees that this Warrant, when endorsed in blank, shall be deemed negotiable,
and that the Holder hereof, when this Warrant shall have been so endorsed, may
be treated by the Company, at the Company's option, and all other persons
dealing with this Warrant as the absolute owner hereof for any purpose and as
the person entitled to exercise the rights represented by this Warrant, or to
the transfer hereof on the books of the Company any notice to the contrary
notwithstanding; but until such transfer on such books, the Company may treat
the registered owner hereof as the owner for all purposes.

               Modification and Waiver.  This Warrant and any provision hereof
               -----------------------
may be changed, waived, discharged or terminated only by an instrument in
writing signed by the Company and the Holder.

                                      10.
<PAGE>

               Notices.  Any notice, request or other document required or
               -------
permitted to be given or delivered to the Holder hereof or the Company shall be
delivered or shall be sent by certified mail, postage prepaid, to each such
Holder as its address as shown on the books of the Company or to the Company c/o
Falcon Technology Partners, L.P., 600 Dorset Road, Devon, PA 19333, or such
other address as either may from time to time provide to the other.

               Binding Effect on Successors.  This Warrant shall be binding
               ----------------------------
upon any corporation succeeding the Company by merger, consolidation or
acquisition of all or substantially all of the Company's assets. All of the
obligations of the Company relating to the Stock issuable upon the exercise of
this Warrant shall survive the exercise and termination of this Warrant. All of
the covenants and agreements of the Company shall inure to the benefit of the
successors and assigns of the Holder hereof.

               Descriptive Headings and Governing Law. The description headings
               --------------------------------------
of the several sections and paragraphs of this Warrant are inserted for
convenience only and do not constitute a part of this Warrant. This Warrant
shall be construed and enforced in accordance with, and the rights of the
parties shall be governed by, the laws of the State of Delaware.

               Lost Warrants.  The Company represents and warrants to the Holder
               -------------
hereof that upon receipt of evidence reasonably satisfactory to the Company of
the loss, theft, destruction, or mutilation of this Warrant and, in the case of
any such loss, theft or destruction, upon receipt of an indemnity reasonably
satisfactory to the Company, or in the case of any such mutilation upon
surrender and cancellation of such Warrant, the Company, at its expense, will
make and deliver a new Warrant, of like tenor, in lieu of the lost, stolen,
destroyed or mutilated Warrant.

               Fractional Shares.  No fractional shares shall be issued upon
               -----------------
exercise of this Warrant. The Company shall, in lieu of issuing any fractional
share, pay the holder entitled to such fraction a sum in cash equal to such
fraction multiplied by the then effective Stock Purchase Price.

          IN WITNESS WHEREOF, the Company has caused this Warrant to be duly
executed by its officer, thereunto duly authorized this _____th day of
November, 1996.

                                        GENOMICA CORPORATION, a Delaware
                                        corporation

                                        By:____________________________________
                                                    James L. Rathmann
                                        Title:  President

                                      11.

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