Document:

NEITHER THIS SECURITY NOR THE SECURITIES INTO WHICH THIS SECURITY IS EXERCISABLE
HAVE BEEN REGISTERED WITH THE SECURITIES AND EXCHANGE COMMISSION OR THE
SECURITIES COMMISSION OF ANY STATE IN RELIANCE UPON AN EXEMPTION FROM
REGISTRATION UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE "SECURITIES
ACT"), AND, ACCORDINGLY, MAY NOT BE OFFERED OR SOLD EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE SECURITIES ACT OR PURSUANT TO AN
AVAILABLE EXEMPTION FROM, OR IN A TRANSACTION NOT SUBJECT TO, THE REGISTRATION
REQUIREMENTS OF THE SECURITIES ACT AND IN ACCORDANCE WITH APPLICABLE STATE
SECURITIES LAWS AS EVIDENCED BY A LEGAL OPINION OF COUNSEL TO THE TRANSFEROR TO
SUCH EFFECT, THE SUBSTANCE OF WHICH SHALL BE REASONABLY ACCEPTABLE TO THE
COMPANY. THIS SECURITY AND THE SECURITIES ISSUABLE UPON EXERCISE OF THIS
SECURITY MAY BE PLEDGED IN CONNECTION WITH A BONA FIDE MARGIN ACCOUNT OR OTHER
LOAN SECURED BY SUCH SECURITIES.

Warrant No. **XX**         COMMON STOCK PURCHASE WARRANT          **XXX** Shares

                      To Purchase Shares of Common Stock of

                               PAXTON ENERGY, INC.

         THIS COMMON STOCK PURCHASE WARRANT (the "Warrant") certifies that, for
value received,

                                     **ABC**

(the "Holder"), is entitled, upon the terms and subject to the limitations on
exercise and the conditions hereinafter set forth, at any time on or after April
27, 2006 (the "Initial Exercise Date"), and on or prior to the close of business
on the five-year anniversary of the Initial Exercise Date (the "Termination
Date") but not thereafter, to subscribe for and purchase from Paxton Energy,
Inc., a Nevada corporation (the "Company"), up to **XXX** shares (the "Warrant
Shares") of Common Stock, par value $.001 per share, of the Company (the "Common
Stock"). The purchase price of one share of Common Stock under this Warrant
shall be equal to the Exercise Price, as defined in Section 2(b).

         Section 1. Definitions. Capitalized terms used and not otherwise
defined herein shall have the meanings set forth in that certain Securities
Purchase Agreement (the "Purchase Agreement"), dated April 11, 2006, among the
Company and the purchasers signatory thereto.

         Section 2. Exercise.

                  a) Exercise of Warrant. Exercise of the purchase rights
         represented by this Warrant may be made, in whole or in part, at any
         time or times on or after the Initial Exercise Date and on or before
         the Termination Date by delivery to the Company of a duly executed
         facsimile copy of the Notice of Exercise Form annexed hereto (or such
         other office or agency of the Company as it may designate by notice in
         writing to the registered Holder at the address of such Holder
         appearing on the books of the Company); and, within three Trading Days
         of the date said Notice of Exercise is delivered to the Company, the
         Company shall have received payment of the aggregate Exercise Price of
         the shares thereby purchased by wire transfer or cashier's check drawn
         on a United States bank. Notwithstanding anything herein to the
         contrary, the Holder shall not be required to physically surrender this
         Warrant to the Company until the Holder has purchased all of the
         Warrant Shares available hereunder and the Warrant has been exercised
         in full, in which case, the Holder shall surrender this Warrant to the
         Company for cancellation within three Trading Days of the date the
         final Notice of Exercise is delivered to the Company. Partial exercises
         of this Warrant resulting in purchases of a portion of the total number
         of Warrant Shares available hereunder shall have the effect of lowering
         the outstanding number of Warrant Shares purchasable hereunder in an
         amount equal to the applicable number of Warrant Shares purchased. The
         Holder and the Company shall maintain records showing the number of
         Warrant Shares purchased and the date of such purchases. The Company
         shall deliver any objection to any Notice of Exercise Form within one
         Trading Day of receipt of such notice. In the event of any dispute or
         discrepancy, the records of the Holder shall be controlling and
         determinative in the absence of manifest error. The Holder and any
         assignee, by acceptance of this Warrant, acknowledge and agree that, by
         reason of the provisions of this paragraph, following the purchase of a
         portion of the Warrant Shares hereunder, the number of Warrant Shares
         available for purchase hereunder at any given time may be less than the
         amount stated on the face hereof.

                  b) Exercise Price. The exercise price per share of the Common
         Stock under this Warrant shall be $3.00, subject to adjustment
         hereunder (the "Exercise Price").

                  c) Cashless Exercise. If at any time after one year from the
         date of issuance of this Warrant there is no effective Registration
         Statement registering, or no current prospectus available for, the

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         resale of the Warrant Shares by the Holder, then this Warrant may also
         be exercised at such time by means of a "cashless exercise" in which
         the Holder shall be entitled to receive a certificate for the number of
         Warrant Shares equal to the quotient obtained by dividing [(A-B) (X)]
         by (A), where:

                  (A) = the VWAP on the Trading Day immediately preceding the
                        date of such election;

                  (B) = the Exercise Price of this Warrant, as adjusted; and

                  (X) = the number of Warrant Shares issuable upon exercise of
                        this Warrant in accordance with the terms of this
                        Warrant by means of a cash exercise rather than a
                        cashless exercise.

                  Notwithstanding anything herein to the contrary, this Warrant
         may also be exercised by means of a "cashless exercise" in accordance
         with Section 2(f) hereof, and, in addition, on the Termination Date,
         this Warrant shall be automatically exercised via cashless exercise
         pursuant to this Section 2(c).

                  As used herein, "VWAP" means, for any date, the price
         determined by the first of the following clauses that applies: (a) if
         the Common Stock is then listed or quoted on a Trading Market, the
         daily volume weighted average price of the Common Stock for such date
         (or the nearest preceding date) on the Trading Market on which the
         Common Stock is then listed or quoted for trading as reported by
         Bloomberg Financial L.P. (based on a Trading Day from 9:30 a.m. (New
         York City time) to 4:02 p.m. (New York City time)); (b) if the OTC
         Bulletin Board is not a Trading Market, the volume weighted average
         price of the Common Stock for such date (or the nearest preceding date)
         on the OTC Bulletin Board; (c) if the Common Stock is not then quoted
         for trading on the OTC Bulletin Board and if prices for the Common
         Stock are then reported in the "Pink Sheets" published by Pink Sheets,
         LLC (or a similar organization or agency succeeding to its functions of
         reporting prices), the most recent bid price per share of the Common
         Stock so reported; or (d) in all other cases, the fair market value of
         a share of Common Stock as determined by an independent appraiser
         selected in good faith by the Holder and reasonably acceptable to the
         Company.

                  d) Exercise Limitations. The Company shall not effect any
         exercise of this Warrant, and a Holder shall not have the right to
         exercise any portion of this Warrant, pursuant to Section 2(c) or
         otherwise, to the extent that after giving effect to such issuance
         after exercise as set forth on the applicable Notice of Exercise, such
         Holder (together with such Holder's Affiliates, and any other person or
         entity acting as a group together with such Holder or any of such
         Holder's Affiliates), as set forth on the applicable Notice of
         Exercise, would beneficially own in excess of the Beneficial Ownership
         Limitation (as defined below). For purposes of the foregoing sentence,
         the number of shares of Common Stock beneficially owned by such Holder
         and its Affiliates shall include the number of shares of Common Stock
         issuable upon exercise of this Warrant with respect to which such
         determination is being made, but shall exclude the number of shares of
         Common Stock that would be issuable upon (A) exercise of the remaining,
         nonexercised portion of this Warrant beneficially owned by such Holder
         or any of its Affiliates and (B) exercise or conversion of the
         unexercised or nonconverted portion of any other securities of the
         Company (including, without limitation, any other Warrants) subject to
         a limitation on conversion or exercise analogous to the limitation
         contained herein beneficially owned by such Holder or any of its
         Affiliates. Except as set forth in the preceding sentence, for purposes
         of this Section 2(d), beneficial ownership shall be calculated in
         accordance with Section 13(d) of the Exchange Act and the rules and
         regulations promulgated thereunder, it being acknowledged by a Holder
         that the Company is not representing to such Holder that such
         calculation is in compliance with Section 13(d) of the Exchange Act and
         such Holder is solely responsible for any schedules required to be
         filed in accordance therewith. To the extent that the limitation
         contained in this Section 2(d) applies, the determination of whether
         this Warrant is exercisable (in relation to other securities owned by
         such Holder together with any Affiliates) and of which a portion of
         this Warrant is exercisable shall be in the sole discretion of a
         Holder, and the submission of a Notice of Exercise shall be deemed to
         be each Holder's determination of whether this Warrant is exercisable
         (in relation to other securities owned by such Holder together with any
         Affiliates) and of which portion of this Warrant is exercisable, in
         each case subject to such aggregate percentage limitation, and the
         Company shall have no obligation to verify or confirm the accuracy of
         such determination. In addition, a determination as to any group status
         as contemplated above shall be determined in accordance with Section
         13(d) of the Exchange Act and the rules and regulations promulgated
         thereunder. For purposes of this Section 2(d), in determining the
         number of outstanding shares of Common Stock, a Holder may rely on the
         number of outstanding shares of Common Stock as reflected in (x) the
         Company's most recent Form 10-QSB or Form 10-KSB, as the case may be,
         (y) a more recent public announcement by the Company or (z) any other
         notice by the Company or the Company's Transfer Agent setting forth the
         number of shares of Common Stock outstanding. Upon the written or oral
         request of a Holder, the Company shall within two Trading Days confirm
         orally and in writing to such Holder the number of shares of Common
         Stock then outstanding. In any case, the number of outstanding shares
         of Common Stock shall be determined after giving effect to the
         conversion or exercise of securities of the Company, including this
         Warrant, by such Holder or its Affiliates since the date as of which
         such number of outstanding shares of Common Stock was reported. The

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<PAGE>

         "Beneficial Ownership Limitation" shall be 4.99% of the number of
         shares of the Common Stock outstanding immediately after giving effect
         to the issuance of shares of Common Stock issuable upon exercise of
         this Warrant. The Beneficial Ownership Limitation provisions of this
         Section 2(d) may be waived by such Holder, at the election of such
         Holder, upon not less than 61 days' prior notice to the Company to
         change the Beneficial Ownership Limitation to 9.99% of the number of
         shares of the Common Stock outstanding immediately after giving effect
         to the issuance of shares of Common Stock upon exercise of this
         Warrant, and the provisions of this Section 2(d) shall continue to
         apply. Upon such a change by a Holder of the Beneficial Ownership
         Limitation from such 4.99% limitation to such 9.99% limitation, the
         Beneficial Ownership Limitation may not be further waived by such
         Holder. The provisions of this paragraph shall be construed and
         implemented in a manner otherwise than in strict conformity with the
         terms of this Section 2(d) to correct this paragraph (or any portion
         hereof) which may be defective or inconsistent with the intended
         Beneficial Ownership Limitation herein contained or to make changes or
         supplements necessary or desirable to properly give effect to such
         limitation. The limitations contained in this paragraph shall apply to
         a successor holder of this Warrant.

                  e) Mechanics of Exercise.

                           i. Authorization of Warrant Shares. The Company
                  covenants that all Warrant Shares that may be issued upon the
                  exercise of the purchase rights represented by this Warrant
                  will, upon exercise of the purchase rights represented by this
                  Warrant, be duly authorized, validly issued, fully paid and
                  nonassessable and free from all taxes, liens and charges
                  created by the Company in respect of the issue thereof (other
                  than taxes in respect of any transfer occurring
                  contemporaneously with such issue).

                           ii. Delivery of Certificates upon Exercise.
                  Certificates for shares purchased hereunder shall be
                  transmitted by the transfer agent of the Company to the Holder
                  by crediting the account of the Holder's prime broker with the
                  Depository Trust Company through its Deposit Withdrawal Agent
                  Commission ("DWAC") system if the Company or its transfer
                  agent is a participant in such system, and otherwise by
                  physical delivery to the address specified by the Holder in
                  the Notice of Exercise within three Trading Days from the
                  delivery to the Company of the Notice of Exercise Form,
                  surrender of this Warrant (if required) and payment of the
                  aggregate Exercise Price as set forth above ("Warrant Share
                  Delivery Date"). This Warrant shall be deemed to have been
                  exercised on the date the Exercise Price is received by the
                  Company. The Warrant Shares shall be deemed to have been
                  issued, and Holder or any other person so designated to be
                  named therein shall be deemed to have become a holder of
                  record of such shares for all purposes, as of the date the
                  Warrant has been exercised by payment to the Company of the
                  Exercise Price (or by cashless exercise, if permitted) and all
                  taxes required to be paid by the Holder, if any, pursuant to
                  Section 2(e)(vii) prior to the issuance of such shares, have
                  been paid.

                           iii. Delivery of New Warrants upon Exercise. If this
                  Warrant shall have been exercised in part, the Company shall,
                  at the request of a Holder and upon surrender of this Warrant
                  certificate, at the time of delivery of the certificate or
                  certificates representing Warrant Shares, deliver to Holder a
                  new Warrant evidencing the rights of Holder to purchase the
                  unpurchased Warrant Shares called for by this Warrant, which
                  new Warrant shall in all other respects be identical with this
                  Warrant.

                           iv. Rescission Rights. If the Company fails to cause
                  its transfer agent to transmit to the Holder a certificate or
                  certificates representing the Warrant Shares pursuant to this
                  Section 2(e)(iv) by the Warrant Share Delivery Date, then the
                  Holder will have the right to rescind such exercise.

                           v. Compensation for Buy-In on Failure to Timely
                  Deliver Certificates upon Exercise. In addition to any other
                  rights available to the Holder, if the Company fails to cause
                  its transfer agent to transmit to the Holder a certificate or
                  certificates representing the Warrant Shares pursuant to an
                  exercise on or before the Warrant Share Delivery Date, and if
                  after such date the Holder is required by its broker to
                  purchase (in an open market transaction or otherwise) shares
                  of Common Stock to deliver in satisfaction of a sale by the
                  Holder of the Warrant Shares that the Holder anticipated
                  receiving upon such exercise (a "Buy-In"), then the Company
                  shall (1) pay in cash to the Holder the amount by which (x)
                  the Holder's total purchase price (including brokerage
                  commissions, if any) for the shares of Common Stock so
                  purchased exceeds (y) the amount obtained by multiplying (A)
                  the number of Warrant Shares that the Company was required to
                  deliver to the Holder in connection with the exercise at issue
                  times (B) the price at which the sell order giving rise to
                  such purchase obligation was executed, and (2) at the option

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<PAGE>

                  of the Holder, either reinstate the portion of the Warrant and
                  equivalent number of Warrant Shares for which such exercise
                  was not honored or deliver to the Holder the number of shares
                  of Common Stock that would have been issued had the Company
                  timely complied with its exercise and delivery obligations
                  hereunder. For example, if the Holder purchases Common Stock
                  having a total purchase price of $11,000 to cover a Buy-In
                  with respect to an attempted exercise of shares of Common
                  Stock with an aggregate sale price giving rise to such
                  purchase obligation of $10,000, under clause (1) of the
                  immediately preceding sentence the Company shall be required
                  to pay the Holder $1,000. The Holder shall provide the Company
                  written notice indicating the amounts payable to the Holder in
                  respect of the Buy-In and, upon request of the Company,
                  evidence of the amount of such loss. Nothing herein shall
                  limit a Holder's right to pursue any other remedies available
                  to it hereunder, at law or in equity including, without
                  limitation, a decree of specific performance and/or injunctive
                  relief with respect to the Company's failure to timely deliver
                  certificates representing shares of Common Stock upon exercise
                  of the Warrant as required pursuant to the terms hereof.

                           vi. No Fractional Shares or Scrip. No fractional
                  shares or scrip representing fractional shares shall be issued
                  upon the exercise of this Warrant. As to any fraction of a
                  share that Holder would otherwise be entitled to purchase upon
                  such exercise, the Company shall at its election, either pay a
                  cash adjustment in respect of such final fraction in an amount
                  equal to such fraction multiplied by the Exercise Price or
                  round up to the next whole share.

                           vii. Charges, Taxes and Expenses. Issuance of
                  certificates for Warrant Shares shall be made without charge
                  to the Holder for any issue or transfer tax or other
                  incidental expense in respect of the issuance of such
                  certificate, all of which taxes and expenses shall be paid by
                  the Company, and such certificates shall be issued in the name
                  of the Holder or in such name or names as may be directed by
                  the Holder; provided, however, that in the event certificates
                  for Warrant Shares are to be issued in a name other than the
                  name of the Holder, this Warrant when surrendered for exercise
                  shall be accompanied by the Assignment Form attached hereto
                  duly executed by the Holder; and the Company may require, as a
                  condition thereto, the payment of a sum sufficient to
                  reimburse it for any transfer tax incidental thereto.

                           viii. Closing of Books. The Company will not close
                  its stockholder books or records in any manner that prevents
                  the timely exercise of this Warrant, pursuant to the terms
                  hereof.

                  f) Cashless Exercise at Election of the Company. Subject to
         the provisions of Section 2(d) and this Section 2(f), at any time after
         June 30, 2007, and after the Effective Date (i) the VWAP for each of 20
         consecutive Trading Days (the "Measurement Period", which 20 Trading
         Day period shall not have commenced until after the Effective Date and
         after June 30, 2007) equals or exceeds 200% of the then Exercise Price
         (subject to adjustment for forward and reverse stock splits,
         recapitalizations, stock dividends and the like after the Initial
         Exercise Date) (the "Threshold Price"), (ii) the average weekly trading
         volume on the Trading Market for each week during such Measurement
         Period equals or exceeds 250,000 shares of Common Stock per week
         (subject to adjustment for forward and reverse stock splits,
         recapitalizations, stock dividends and the like after the Initial
         Exercise Date) and (iii) the Holder is not in possession of any
         information that constitutes, or might constitute, material non-public
         information, then the Company may, within two Trading Days of the end
         of such period, elect to effect a cashless exercise in accordance with
         Section 2(b) of all or any portion of this Warrant. Such election by
         the Company shall be effected by sending to the Holder a Notice of
         Cashless Exercise (a "Notice of Cashless Exercise"), which shall set
         forth the volume and price in the Trading Market for each Trading Day
         during the applicable Measurement Period, the calculation of the VWAP
         for such period, the number of Warrants to be exercised and the date,
         not less than 30 calendar days thereafter, upon which such Warrants
         shall be exercised (the "Automatic Cashless Exercise Date"). Until 6:30
         p.m., New York time, on the Automatic Cashless Exercise Date, Warrants
         subject to such Notice of Cashless Exercise may be exercised in
         accordance with the provisions of Section 2(a). The parties agree that
         any Notice of Exercise delivered following a Notice of Cashless
         Exercise which calls for the automatic cashless exercise of less than
         all the Warrants shall first reduce to zero the number of Warrant
         Shares subject to such Notice of Cashless Exercise prior to reducing
         the remaining Warrant Shares available for purchase under this Warrant.
         After the Automatic Cashless Exercise Date and issuance of Warrant
         Shares to the Holder in accordance therewith, all rights of the Holder
         of this Warrant respecting all Warrants that the Company has elected to
         be exercised as set forth in the Notice of Cashless Exercise shall
         cease, and such Warrant shall not after the Automatic Cashless Exercise
         Date be exercisable respecting the Warrants subject to such Notice of
         Cashless Exercise. In case less than all Warrants represented hereby
         are exercised, a new Warrant of substantially like tenor shall be
         issued respecting the unexercised Warrants without cost to the Holder
         thereof within five Trading Days after the Automatic Cashless Exercise
         Date. Notwithstanding anything to the contrary set forth in this
         Warrant, the Company may not deliver a Notice of Cashless Exercise or
         require the cancellation of this Warrant (and any such Notice of
         Cashless Exercise will be void), unless, from the beginning of the 20th
         consecutive Trading Day used to determine whether the Common Stock has

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         achieved the Threshold Price through the Automatic Cashless Exercise
         Date, (i) the Company shall have honored in accordance with the terms
         of this Warrant all Notices of Exercise delivered by 6:30 p.m. (New
         York City time) on the Automatic Cashless Exercise Date, (ii) the
         Registration Statement shall be effective as to all Warrant Shares and
         the prospectus thereunder available for use by the Holder for the
         resale of all such Warrant Shares and (iii) the Common Stock shall be
         listed or quoted for trading on the Trading Market, and (iv) there is a
         sufficient number of authorized shares of Common Stock for issuance of
         all Securities under the Transaction Documents, and (v) the issuance of
         the shares shall not cause a breach of any provision of 2(d) herein.
         The Company's right to exercise an Automatic Cashless Exercise pursuant
         to this section shall be exercised ratably among the Holders based on
         each Holder's initial purchase of Warrants.

         Section 3. Certain Adjustments.

                  a) Stock Dividends and Splits. If the Company, at any time
         while this Warrant is outstanding: (A) pays a stock dividend or
         otherwise make a distribution or distributions on shares of its Common
         Stock or any other equity or equity equivalent securities payable in
         shares of Common Stock (which, for avoidance of doubt, shall not
         include any shares of Common Stock issued by the Company upon exercise
         of this Warrant), (B) subdivides outstanding shares of Common Stock
         into a larger number of shares, (C) combines (including by way of
         reverse stock split) outstanding shares of Common Stock into a smaller
         number of shares, or (D) issues by reclassification of shares of the
         Common Stock any shares of capital stock of the Company, then in each
         case the Exercise Price shall be multiplied by a fraction of which the
         numerator shall be the number of shares of Common Stock (excluding
         treasury shares, if any) outstanding immediately before such event and
         of which the denominator shall be the number of shares of Common Stock
         outstanding immediately after such event and the number of shares
         issuable upon exercise of this Warrant shall be proportionately
         adjusted. Any adjustment made pursuant to this Section 3(a) shall
         become effective immediately after the record date for the
         determination of stockholders entitled to receive such dividend or
         distribution and shall become effective immediately after the effective
         date in the case of a subdivision, combination or re-classification.

                  b) Subsequent Equity Sales. If the Company or any Subsidiary
         thereof, as applicable, at any time while this Warrant is outstanding,
         shall sell or grant any option to purchase or sell or grant any right
         to reprice its securities, or otherwise dispose of or issue (or
         announce any offer, sale, grant or any option to purchase or other
         disposition) any Common Stock or Common Stock Equivalents entitling any
         Person to acquire shares of Common Stock, at an effective price per
         share less than the then Exercise Price (such lower price, the "Base
         Share Price" and such issuances collectively, a "Dilutive Issuance")
         (if the holder of the Common Stock or Common Stock Equivalents so
         issued shall at any time, whether by operation of purchase price
         adjustments, reset provisions, floating conversion, exercise or
         exchange prices or otherwise, or due to warrants, options or rights per
         share that are issued in connection with such issuance, be entitled to
         receive shares of Common Stock at an effective price per share that is
         less than the Exercise Price, such issuance shall be deemed to have
         occurred for less than the Exercise Price on such date of the Dilutive
         Issuance), then the Exercise Price shall be reduced and only reduced to
         equal the Base Share Price and the number of Warrant Shares issuable
         hereunder shall be increased such that the aggregate Exercise Price
         payable hereunder, after taking into account the decrease in the
         Exercise Price, shall be equal to the aggregate Exercise Price prior to
         such adjustment. Such adjustment shall be made whenever such Common
         Stock or Common Stock Equivalents are issued. Notwithstanding the
         foregoing, no adjustments shall be made, paid, or issued under this
         Section 3(b) in respect of an Exempt Issuance. The Company shall notify
         the Holder in writing, no later than the Trading Day following the
         issuance of any Common Stock or Common Stock Equivalents subject to
         this section, indicating therein the applicable issuance price, or
         applicable reset price, exchange price, conversion price and other
         pricing terms (such notice the "Dilutive Issuance Notice"). For
         purposes of clarification, whether or not the Company provides a
         Dilutive Issuance Notice pursuant to this Section 3(b), upon the
         occurrence of any Dilutive Issuance, after the date of such Dilutive
         Issuance the Holder is entitled to receive a number of Warrant Shares
         based upon the Base Share Price regardless of whether the Holder
         accurately refers to the Base Share Price in the Notice of Exercise.

                  c) Subsequent Rights Offerings. If the Company, at any time
         while the Warrant is outstanding, shall issue rights, options or
         warrants to all holders of Common Stock (and not to Holders) entitling
         them to subscribe for or purchase shares of Common Stock at a price per
         share less than the VWAP at the record date mentioned below, then the
         Exercise Price shall be multiplied by a fraction, of which the
         denominator shall be the number of shares of the Common Stock
         outstanding on the date of issuance of such rights or warrants plus the
         number of additional shares of Common Stock offered for subscription or
         purchase, and of which the numerator shall be the number of shares of
         the Common Stock outstanding on the date of issuance of such rights or
         warrants plus the number of shares that the aggregate offering price of
         the total number of shares so offered (assuming receipt by the Company
         in full of all consideration payable upon exercise of such rights,
         options or warrants) would purchase at such VWAP. Such adjustment shall
         be made whenever such rights or warrants are issued, and shall become
         effective immediately after the record date for the determination of
         stockholders entitled to receive such rights, options, or warrants.

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<PAGE>

                  d) Pro Rata Distributions. If the Company, at any time prior
         to the Termination Date, shall distribute to all holders of Common
         Stock (and not to Holders of the Warrants) evidences of its
         indebtedness or assets (including cash and cash dividends) or rights or
         warrants to subscribe for or purchase any security other than the
         Common Stock (which shall be subject to Section 3(b)), then in each
         such case the Exercise Price shall be adjusted by multiplying the
         Exercise Price in effect immediately prior to the record date fixed for
         determination of stockholders entitled to receive such distribution by
         a fraction of which the denominator shall be the VWAP determined as of
         the record date mentioned above, and of which the numerator shall be
         such VWAP on such record date less the then per share fair market value
         at such record date of the portion of such assets or evidence of
         indebtedness so distributed applicable to one outstanding share of the
         Common Stock as determined by the Board of Directors in good faith. In
         either case the adjustments shall be described in a statement provided
         to the Holder of the portion of assets or evidences of indebtedness so
         distributed or such subscription rights applicable to one share of
         Common Stock. Such adjustment shall be made whenever any such
         distribution is made and shall become effective immediately after the
         record date mentioned above.

                  e) Fundamental Transaction. If, at any time while this Warrant
         is outstanding, (A) the Company effects any merger or consolidation of
         the Company with or into another Person, (B) the Company effects any
         sale of all or substantially all of its assets in one or a series of
         related transactions, (C) any tender offer or exchange offer (whether
         by the Company or another Person) is completed pursuant to which
         holders of Common Stock are permitted to tender or exchange their
         shares for other securities, cash or property, or (D) the Company
         effects any reclassification of the Common Stock or any compulsory
         share exchange pursuant to which the Common Stock is effectively
         converted into or exchanged for other securities, cash or property (in
         any such case, a "Fundamental Transaction"), then, upon any subsequent
         exercise of this Warrant, the Holder shall have the right to receive,
         for each Warrant Share that would have been issuable upon such exercise
         immediately prior to the occurrence of such Fundamental Transaction, at
         the option of the Holder, (a) upon exercise of this Warrant, the number
         of shares of Common Stock of the successor or acquiring corporation or
         of the Company, if it is the surviving corporation, and any additional
         consideration (the "Alternate Consideration") receivable upon or as a
         result of such reorganization, reclassification, merger, consolidation
         or disposition of assets by a Holder of the number of shares of Common
         Stock for which this Warrant is exercisable immediately prior to such
         event or (b) if the Company is acquired in an all cash transaction,
         cash equal to the value of this Warrant as determined in accordance
         with the Black-Scholes option pricing formula. For purposes of any such
         exercise, the determination of the Exercise Price shall be
         appropriately adjusted to apply to such Alternate Consideration based
         on the amount of Alternate Consideration issuable in respect of one
         share of Common Stock in such Fundamental Transaction, and the Company
         shall apportion the Exercise Price among the Alternate Consideration in
         a reasonable manner reflecting the relative value of any different
         components of the Alternate Consideration. If holders of Common Stock
         are given any choice as to the securities, cash, or property to be
         received in a Fundamental Transaction, then the Holder shall be given
         the same choice as to the Alternate Consideration it receives upon any
         exercise of this Warrant following such Fundamental Transaction. To the
         extent necessary to effectuate the foregoing provisions, any successor
         to the Company or surviving entity in such Fundamental Transaction
         shall issue to the Holder a new warrant consistent with the foregoing
         provisions and evidencing the Holder's right to exercise such warrant
         into Alternate Consideration. The terms of any agreement pursuant to
         which a Fundamental Transaction is affected shall include terms
         requiring any such successor or surviving entity to comply with the
         provisions of this Section 3(e) and insuring that this Warrant (or any
         such replacement security) will be similarly adjusted upon any
         subsequent transaction analogous to a Fundamental Transaction.

                  f) Calculations. All calculations under this Section 3 shall
         be made to the nearest cent or the nearest 1/100th of a share, as the
         case may be. For purposes of this Section 3, the number of shares of
         Common Stock deemed to be issued and outstanding as of a given date
         shall be the sum of the number of shares of Common Stock (excluding
         treasury shares, if any) issued and outstanding.

                  g) Voluntary Adjustment by Company. The Company may at any
         time during the term of this Warrant reduce the then current Exercise
         Price to any amount and for any period of time deemed appropriate by
         the Board of Directors of the Company.

                  h) Notice to Holders.

                           i. Adjustment to Exercise Price. Whenever the
                  Exercise Price is adjusted pursuant to any provision of this
                  Section 3, the Company shall promptly mail to each Holder a
                  notice setting forth the Exercise Price after such adjustment
                  and setting forth a brief statement of the facts requiring
                  such adjustment. If the Company issues a variable rate
                  security, despite the prohibition thereon in the Purchase
                  Agreement, the Company shall be deemed to have issued Common
                  Stock or Common Stock Equivalents at the lowest possible

                                       6
<PAGE>

                  conversion or exercise price at which such securities may be
                  converted or exercised in the case of a Variable Rate
                  Transaction (as defined in the Purchase Agreement).

                           ii. Notice to Allow Exercise by Holder. If (A) the
                  Company shall declare a dividend (or any other distribution in
                  whatever form) on the Common Stock; (B) the Company shall
                  declare a special nonrecurring cash dividend on or a
                  redemption of the Common Stock; (C) the Company shall
                  authorize the granting to all holders of the Common Stock
                  rights or warrants to subscribe for or purchase any shares of
                  capital stock of any class or of any rights; (D) the approval
                  of any stockholders of the Company shall be required in
                  connection with any reclassification of the Common Stock, any
                  consolidation or merger to which the Company is a party, any
                  sale or transfer of all or substantially all of the assets of
                  the Company, of any compulsory share exchange whereby the
                  Common Stock is converted into other securities, cash or
                  property; (E) the Company shall authorize the voluntary or
                  involuntary dissolution, liquidation or winding up of the
                  affairs of the Company; then, in each case, the Company shall
                  cause to be mailed to the Holder at its last address as it
                  shall appear upon the Warrant Register of the Company, at
                  least 20 calendar days prior to the applicable record or
                  effective date hereinafter specified, a notice stating (x) the
                  date on which a record is to be taken for the purpose of such
                  dividend, distribution, redemption, rights or warrants, or if
                  a record is not to be taken, the date as of which the holders
                  of the Common Stock of record to be entitled to such dividend,
                  distributions, redemption, rights or warrants are to be
                  determined or (y) the date on which such reclassification,
                  consolidation, merger, sale, transfer or share exchange is
                  expected to become effective or close, and the date as of
                  which it is expected that holders of the Common Stock of
                  record shall be entitled to exchange their shares of the
                  Common Stock for securities, cash or other property
                  deliverable upon such reclassification, consolidation, merger,
                  sale, transfer or share exchange; provided that the failure to
                  mail such notice or any defect therein or in the mailing
                  thereof shall not affect the validity of the corporate action
                  required to be specified in such notice. The Holder is
                  entitled to exercise this Warrant during the 20-day period
                  commencing on the date of such notice to the effective date of
                  the event triggering such notice.

         Section 4. Transfer of Warrant.

                  a) Transferability. Subject to compliance with any applicable
         securities laws and the conditions set forth in Section 4(d) hereof and
         to the provisions of Section 4.1 of the Purchase Agreement, this
         Warrant and all rights hereunder (including, without limitation, any
         registration rights) are transferable, in whole or in part, upon
         surrender of this Warrant at the principal office of the Company or its
         designated agent, together with a written assignment of this Warrant
         substantially in the form attached hereto duly executed by the Holder
         or its agent or attorney and funds sufficient to pay any transfer taxes
         payable upon the making of such transfer. Upon such surrender and, if
         required, such payment, the Company shall execute and deliver a new
         Warrant or Warrants in the name of the assignee or assignees and in the
         denomination or denominations specified in such instrument of
         assignment, and shall issue to the assignor a new Warrant evidencing
         the portion of this Warrant not so assigned, and this Warrant shall
         promptly be cancelled. A Warrant, if properly assigned, may be
         exercised by a new holder for the purchase of Warrant Shares without
         having a new Warrant issued.

                  b) New Warrants. This Warrant may be divided or combined with
         other Warrants upon presentation hereof at the aforesaid office of the
         Company, together with a written notice specifying the names and
         denominations in which new Warrants are to be issued, signed by the
         Holder or its agent or attorney. Subject to compliance with Section
         4(a), as to any transfer that may be involved in such division or
         combination, the Company shall execute and deliver a new Warrant or
         Warrants in exchange for the Warrant or Warrants to be divided or
         combined in accordance with such notice.

                  c) Warrant Register. The Company shall register this Warrant,
         upon records to be maintained by the Company for that purpose (the
         "Warrant Register"), in the name of the record Holder hereof from time
         to time. The Company may deem and treat the registered Holder of this
         Warrant as the absolute owner hereof for the purpose of any exercise
         hereof or any distribution to the Holder, and for all other purposes,
         absent actual notice to the contrary.

                  d) Transfer Restrictions. If, at the time of the surrender of
         this Warrant in connection with any transfer of this Warrant, the
         transfer of this Warrant shall not be registered pursuant to an
         effective registration statement under the Securities Act and under
         applicable state securities or blue sky laws, the Company may require,
         as a condition of allowing such transfer (i) that the Holder or
         transferee of this Warrant, as the case may be, furnish to the Company
         a written opinion of counsel (which opinion shall be in form, substance
         and scope customary for opinions of counsel in comparable transactions)
         to the effect that such transfer may be made without registration under
         the Securities Act and under applicable state securities or blue sky
         laws, (ii) that the holder or transferee execute and deliver to the

                                       7
<PAGE>

         Company an investment letter in form and substance acceptable to the
         Company and (iii) that the transferee be an "accredited investor" as
         defined in Rule 501(a)(1), (a)(2), (a)(3), (a)(7), or (a)(8)
         promulgated under the Securities Act or a "qualified institutional
         buyer" as defined in Rule 144A(a) under the Securities Act.

         Section 5. Miscellaneous.

                  a) No Rights as Stockholder until Exercise. This Warrant does
         not entitle the Holder to any voting rights or other rights as a
         stockholder of the Company prior to the exercise hereof as set forth in
         Section 2(e)(ii).

                  b) Loss, Theft, Destruction or Mutilation of Warrant. The
         Company covenants that upon receipt by the Company of evidence
         reasonably satisfactory to it of the loss, theft, destruction or
         mutilation of this Warrant or any stock certificate relating to the
         Warrant Shares, and in case of loss, theft or destruction, of indemnity
         or security reasonably satisfactory to it (which, in the case of the
         Warrant, shall not include the posting of any bond), and upon surrender
         and cancellation of such Warrant or stock certificate, if mutilated,
         the Company will make and deliver a new Warrant or stock certificate of
         like tenor and dated as of such cancellation, in lieu of such Warrant
         or stock certificate.

                  c) Saturdays, Sundays, Holidays, etc. If the last or appointed
         day for the taking of any action or the expiration of any right
         required or granted herein shall not be a Trading Day, then such action
         may be taken or such right may be exercised on the next succeeding
         Trading Day.

                  d) Authorized Shares.

                           The Company covenants that during the period the
                  Warrant is outstanding, it will reserve from its authorized
                  and unissued Common Stock a sufficient number of shares to
                  provide for the issuance of the Warrant Shares upon the
                  exercise of any purchase rights under this Warrant. The
                  Company further covenants that its issuance of this Warrant
                  shall constitute full authority to its officers who are
                  charged with the duty of executing stock certificates to
                  execute and issue the necessary certificates for the Warrant
                  Shares upon the exercise of the purchase rights under this
                  Warrant. The Company will take all such reasonable action as
                  may be necessary to assure that such Warrant Shares may be
                  issued as provided herein without violation of any applicable
                  law or regulation, or of any requirements of the Trading
                  Market upon which the Common Stock may be listed.

                           Except and to the extent as waived or consented to by
                  the Holder, the Company shall not by any action, including,
                  without limitation, amending its articles of incorporation or
                  through any reorganization, transfer of assets, consolidation,
                  merger, dissolution, issue or sale of securities or any other
                  voluntary action, avoid or seek to avoid the observance or
                  performance of any of the terms of this Warrant, but will at
                  all times in good faith assist in the carrying out of all such
                  terms and in the taking of all such actions as may be
                  necessary or appropriate to protect the rights of Holder as
                  set forth in this Warrant against impairment. Without limiting
                  the generality of the foregoing, the Company will (a) not
                  increase the par value of any Warrant Shares above the amount
                  payable therefor upon such exercise immediately prior to such
                  increase in par value, (b) take all such action as may be
                  necessary or appropriate in order that the Company may validly
                  and legally issue fully paid and nonassessable Warrant Shares
                  upon the exercise of this Warrant, and (c) use commercially
                  reasonable efforts to obtain all such authorizations,
                  exemptions or consents from any public regulatory body having
                  jurisdiction thereof as may be necessary to enable the Company
                  to perform its obligations under this Warrant.

                           Before taking any action that would result in an
                  adjustment in the number of Warrant Shares for which this
                  Warrant is exercisable or in the Exercise Price, the Company
                  shall obtain all such authorizations or exemptions thereof, or
                  consents thereto, as may be necessary from any public
                  regulatory body or bodies having jurisdiction thereof.

                  e) Jurisdiction. All questions concerning the construction,
         validity, enforcement and interpretation of this Warrant shall be
         determined in accordance with the provisions of the Purchase Agreement.

                  f) Restrictions. The Holder acknowledges that the Warrant
         Shares acquired upon the exercise of this Warrant, if not registered,
         will have restrictions upon resale imposed by state and federal
         securities laws.

                  g) Nonwaiver and Expenses. No course of dealing or any delay
         or failure to exercise any right hereunder on the part of Holder shall
         operate as a waiver of such right or otherwise prejudice Holder's
         rights, powers, or remedies, notwithstanding the fact that all rights
         hereunder terminate on the Termination Date. If the Company willfully
         and knowingly fails to comply with any provision of this Warrant, which
         results in any material damages to the Holder, the Company shall pay to
         Holder such amounts as shall be sufficient to cover any costs and

                                       8
<PAGE>

         expenses including, but not limited to, reasonable attorneys' fees,
         including those of appellate proceedings, incurred by Holder in
         collecting any amounts due pursuant hereto or in otherwise enforcing
         any of its rights, powers or remedies hereunder.

                  h) Notices. Any notice, request or other document required or
         permitted to be given or delivered to the Holder by the Company shall
         be delivered in accordance with the notice provisions of the Purchase
         Agreement.

                  i) Limitation of Liability. No provision hereof, in the
         absence of any affirmative action by Holder to exercise this Warrant to
         purchase Warrant Shares, and no enumeration herein of the rights or
         privileges of Holder, shall give rise to any liability of Holder for
         the purchase price of any Common Stock or as a stockholder of the
         Company, whether such liability is asserted by the Company or by
         creditors of the Company.

                  j) Remedies. Holder, in addition to being entitled to exercise
         all rights granted by law, including recovery of damages, will be
         entitled to specific performance of its rights under this Warrant. The
         Company agrees that monetary damages would not be adequate compensation
         for any loss incurred by reason of a breach by it of the provisions of
         this Warrant and hereby agrees to waive and not to assert the defense
         in any action for specific performance that a remedy at law would be
         adequate.

                  k) Successors and Assigns. Subject to applicable securities
         laws, this Warrant and the rights and obligations evidenced hereby
         shall inure to the benefit of and be binding upon the successors of the
         Company and the successors and permitted assigns of Holder. The
         provisions of this Warrant are intended to be for the benefit of all
         Holders from time to time of this Warrant and shall be enforceable by
         any such Holder or holder of Warrant Shares.

                  l) Amendment. This Warrant may be modified or amended or the
         provisions hereof waived with the written consent of the Company and
         the Holder.

                  m) Severability. Wherever possible, each provision of this
         Warrant shall be interpreted in such manner as to be effective and
         valid under applicable law, but if any provision of this Warrant shall
         be prohibited by or invalid under applicable law, such provision shall
         be ineffective to the extent of such prohibition or invalidity, without
         invalidating the remainder of such provisions or the remaining
         provisions of this Warrant.

                  n) Headings. The headings used in this Warrant are for the
         convenience of reference only and shall not, for any purpose, be deemed
         a part of this Warrant.

                              ********************

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

Dated:  April 25, 2006                               PAXTON ENERGY, INC.

                                                     By: /s/ Robert Freiheit
                                                         ----------------------
                                                     Name: Robert Freiheit
                                                     Title: President

                                       9
<PAGE>

                               NOTICE OF EXERCISE

To:      paxton energy, inc.

         (1)      The undersigned hereby elects to purchase ________ Warrant
                  Shares of the Company pursuant to the terms of the attached
                  Warrant (only if exercised in full), and tenders herewith
                  payment of the exercise price in full, together with all
                  applicable transfer taxes, if any.

         (2)      Payment shall take the form of (check applicable box):

                  [ ] in lawful money of the United States; or

                  [ ] [if permitted] the cancellation of such number of Warrant
                  Shares as is necessary, in accordance with the formula set
                  forth in subsection 2(c), to exercise this Warrant with
                  respect to the maximum number of Warrant Shares purchasable
                  pursuant to the cashless exercise procedure set forth in
                  subsection 2(c).

         (3)      Please issue a certificate or certificates representing said
                  Warrant Shares in the name of the undersigned or in such other
                  name as is specified below:

                        ________________________________________________________

                  The Warrant Shares shall be delivered to the following DWAC
                  Account Number or by physical delivery of a certificate to:

                        ________________________________________________________
                        ________________________________________________________
                        ________________________________________________________

         (4)      Accredited Investor. The undersigned is an "accredited
                  investor" as defined in Regulation D promulgated under the
                  Securities Act of 1933, as amended.

SIGNATURE OF HOLDER

Name of Investing Entity:_______________________________________________________
Signature of Authorized Signatory of Investing Entity:__________________________
Name of Authorized Signatory:___________________________________________________
Title of Authorized Signatory:__________________________________________________
Date:___________________________________________________________________________

                                 ASSIGNMENT FORM

     (To assign the foregoing warrant, execute this form and supply required
          information. Do not use this form to exercise the warrant.)

FOR VALUE RECEIVED, [____] all of or [_______] shares of the foregoing Warrant
and all rights evidenced thereby are hereby assigned to_________________________
whose address is ______________________________________________________________.

Dated:  ______________, _______

                  Holder's Signature:___________________________________________
                  Holder's Address:_____________________________________________
                  ______________________________________________________________

Signature Guaranteed: ___________________________________________

NOTE: The signature to this Assignment Form must correspond with the name as it
appears on the face of the Warrant, without alteration or enlargement or any
change whatsoever, and must be guaranteed by a bank or trust company. Officers
of corporations and those acting in a fiduciary or other representative capacity
should file proper evidence of authority to assign the foregoing Warrant.

                                       10Bayshore Exploration L.L.C.                         20501 Kay Freeway, Suite 216
                                                              Katy, Texas  77450
                                                            Phone (281) 646-1919
                                                              Fax (281) 647-9448

April 20, 2005

Paxton Energy, Inc.
1940 Zinfandel Drive, Suite C
Rancho Cordova, California 95670

RE:      Area of Mutual Interest & Lease Options
         Cooke No. 3 Well
         Cooke Ranch Deep Prospect
         La Salle County, Texas

Gentlemen:

The Cooke Ranch Deep Prospect shall have an Area of Mutual Interest ("AMI")
which includes the subject leases being 8,882.54 acres of land, more or less,
and extends five miles in all directions from the lease boundaries of the
subject leases. The AMI shall be for a period of ten (10) years or as long as
there is commercial oil and gas production on the subject leases.

Bayshore Exploration L.L.C. is also in the process of acquiring Seismic and
Lease Option Agreements from local landowners over several deep gas prospects in
the area. Any Seismic and Lease Option Agreements acquired by Bayshore within
ten (10) miles of the subject leases shall be included in the above mentioned
AMI and will be offered to Paxton Energy, Inc. on a ground floor basis.

Thank you for your time and consideration.

Sincerely,

BAYSHORE EXPLORATION L.L.C.

/s/ Jamin Swantner
Jamin Swantner
President

JJS:jrs

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