Abstract:
A miniature thin film microwave frequency acoustic filter device comprising acoustic resonators formed on the same dielectric membrane so that their frequency responses are identical. Because the filters are miniature, they can be manifolded without manifolding circuitry that normally causes significant filter losses.

Description:
This application is a continuation of application Ser. No. 07/499,865 filed Mar. 26, 1990 now abandoned. 
    
    
     BACKGROUND OF THE INVENTION 
     The present invention relates to a filter device structure, and more particularly, to a thin film microwave frequency acoustic filter device structure. 
     Filter banks are used to perform real time spectrum analysis of broad band signals. Typically, filter banks comprise individual filters that are large, expensive and are extremely difficult to manifold, especially at high frequencies. The complicated manifolding circuitry causes significant filter losses. Also, the bandwidth available with current microwave filters is too limited for effective use in filter banks. For example, the bandwidth of 2 GHz microstrip filters cannot be made less than about 8% (160 MHz) without accessive insertion losses (5 DB). Bandwidths of approximately 20 MHz can be achieved with coax filters. But, coax filters are large, cannot be manifolded easily and each pole of a coax filter requires individual adjustment. 
     SUMMARY OF THE INVENTION 
     It is an object of the present invention to provide a miniature thin film filter device. 
     It is another object of the present invention to provide a miniature microwave frequency thin film filter device. 
     It is a further object of the present invention to provide a miniature microwave frequency thin film acoustic filter device. 
     It is still a further object of the present invention to provide a manufacturable miniature microwave frequency thin film acoustic filter device. 
     To achieve the above and other objects, the present provides a thin film, microwave frequency device comprising a substrate having holes formed therein; a dielectric membrane positioned on said substrate and over the holes; and a plurality of resonators respectively formed on a portion of said dielectric membrane over corresponding ones of the holes, said resonators being operatively connected to each other and each resonator comprising--a first electrode formed on said dielectric membrane; a piezoelectric film formed on said first electrode; and a second electrode formed on said piezoelectric film. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 is a plan view of a three-pole filter device embodying the present invention; 
     FIG. 2 is a schematic, cross-sectional diagram of the FIG. 1 device along the line 2--2; 
     FIG. 3 is a schematic diagram of the FIG. 1 device including a guard filter circuit; 
     FIG. 4 is a schematic circuit model of a resonator of the present invention together with an associated compensating inductor; 
     FIGS. 5A and 5B illustrate representative characteristics of the filters embodying the present invention; 
     FIG. 6 is partial schematic diagram of a manifolded filter bank; 
     FIG. 7 illustrates the frequency response of the FIG. 6 filter bank; and FIG. 8 illustrates the input impedance of the FIG. 6 filter bank. 
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENT 
     FIG. 1 is a plan view of a three-pole filter device embodying the present invention. In FIG. 1, reference numerals 15, 20 and 25 respectively identify acoustic resonators. Each of the resonators 15, 20 and 25 is formed on a high resistivity dielectric membrane 30 shown in FIG. 2. The acoustic resonators 15, 20 and 25 are respectively connected to compensating inductors 35, 40 and 45. A capacitor 50 having a capacitance C, capacitively couples the resonators 15 and 20 to ground; and a capacitor 55 having a capacitance C 2  capacitively couples resonators 20 and 25 to ground. A pair of external capacitors 60 and 65 complete the ladder filter. As shown in FIG. 1 the ladder filter embodying the present invention has a size of approximately 40 mils×40 mils. 
     FIG. 2 is a schematic, cross-sectional diagram of the FIG. 1 device along the line 2--2 shown in FIG. 1. In FIG. 2, reference numeral 70 identifies a substrate upon which the FIG. 1 device is constructed. The substrate can comprise any high resistivity semiconductor material such as purified silicon or gallium arsenide. The dielectric film 30 comprises, for example, silicon dioxide (SiO 2 ). In a completed structure as shown in FIG. 2, the dielectric membrane 30 serves as a support structure for the resonators 15, 20 and 25. Typically, the dielectric membrane 30 is formed on a substrate 70, and then a portion 75 of the substrate 70 is removed by any common masking/etching technique. 
     The basic structure of an acoustic resonator in accordance with the present invention, is the same for each of the resonators 15, 20 and 25. Thus, the following discusses only the structure of resonator 15. Referring to FIG. 2, resonator 15 comprises a first or bottom electrode 80, a layer of piezoelectric material 85 formed on the first or bottom electrode 80, and a second or top electrode 90 formed over the layer of piezoelectric material 85. The piezoelectric material can comprise, for example, AlN or ZnO (zinc oxide). 
     Tables 1-3 in the appendix attached hereto show the characteristics of a 950 MHz resonator in accordance with the present invention in each of the Tables, Fser and Fpar respectively refer to the serial and parallel resonance frequencies; Tc refers to the temperature coefficient of the resonator; Co, Cm, Lm and Rm refer to the measured values of the resonator equivalent circuit elements as schematically illustrated in, for example, FIG. 4; Q refers to the Q of the resonator and FOM indicates a figure of merit corresponding to the ratio of Co/Cm to the Q of the resonator. Referring to Table 1, when layer 30 has a thickness of 0.90506 μm, and the resonator is operated in the fundamental mode, the Q of the resonator is 2270.09. Referring to Table 2, the same quality resonator can be obtained with the layer 30 being more than 3.3 times thicker, when the resonator is operated with the second harmonic. Table 3 shows that when the resonator is operated with the third harmonic, the layer 30 can almost 6 μm and still achieve about the same Q as when operated in the fundamental mode with a much thinner layer 30. 
     With the structure shown in FIG. 2, quality resonators can be more easily manufactured because the dielectric membrane (layer 30) can be much thicker. By simply operating the resonator at a harmonic, acceptable performance can be obtained with what would be unacceptable device dimensions at the fundamental mode. FIG. 2 also illustrates an input capacitor 60 and an output capacitor 65. The input capacitor 60 comprises a first capacitor electrode 62 and a first capacitor dielectric layer positioned on the first capacitor electrode 62 and underneath the first or bottom electrode 80. As seen in FIG. 2, the structure of the output capacitor 65 is basically the same as that of input capacitor 60. 
     FIG. 3 is a schematic diagram of the FIG. 1 device including a guard filter circuit 95. It should be understood that the capacitors 60 and 65 may not be needed for some three pole filters, that they may be replaced with inductors in some cases, and that the coupling capacitors may also be replaced by coupling inductors for some designs. The essentials are that the filter be a series resonant circuit in series type connection so that the out-of-band input impedance is very high compared to the in-band input impedance. This fact, and the very small size relative to the center frequency wavelength allows the simple and effective manifolding. 
     FIG. 4 is a schematic circuit model of the resonators 15, 20 and 25 together with the associated compensating inductor L&#39;. The circuit values for the serial inductance (Lm), capacitance (Cm) and resistance (Rm) and the parallel capacitance (Co) shown in FIG. 4 are for frequency, f 0 , of approximately 1.1 GHz. The frequency response of the FIG. 1 structure (i.e., FIG. 3 circuit) is shown in FIGS. 5A and 5B. The value of compensating inductor L&#39; is selected in accordance with the following formula: ##EQU1## where f center  is the center frequency of the resonator. With the structure of the present invention, the attenuation peaks (or gain zeros) shown in FIG. 5B are widely separated and the bandwidth is represented by Δf. The separation of the attenuation peaks (or gain zeros) is determined by: ##EQU2## where Δf pk  is the change in frequency between the center frequency and the closest null and the response of the resonator. In FIG. 5B, the filter characteristic identified by reference numeral 100 corresponds to that of the guard filter 95 The guard filter 95, rejects the DC response of the FIG. 3 circuit. In some applications, other circuitry already in existence, or designed for another function (a transformer, for example) will obviate the need for a guard filter. Basically, the spacing Δf pk  of the impedance poles and zeros shown in FIG. 5A limits the wideband capability of the FIG. 3 circuit. The inventors of the subject application have developed a wideband filter device that has, in a preferred embodiment, a 10 MHz passband and can be used in, for example, a 100 MHz filter bank. The filter bank comprises eleven, 10 MHz wide filters and the filter bank spans 1.9 to 2.0 GHz. 
     FIG. 6 is partial schematic diagram of the eleven channel manifolded filter banks. FIGS. 5A and 5B illustrate representative characteristics of the individual filters. The eleven filters were designed in accordance with similar principle to the FIG. 3 circuit and the known complimentary filter theory such as described in Matthaei, Young and Jones, Filter Handbook, Artech House, 1964, reprinted 1982. Filters with 3 dB crossovers and high stop band impedances can be combined in parallel without adjacent band distortion or input variation with frequency. Because the filters of the present invention are small (e.g., 0.040&#34;×0.040&#34;), they can be connected at a single point without elaborate manifolded circuitry. In FIG. 6 C 12  and C 13  represent coupling capacitance between cascaded resonators, and 52 represents a load resistor of typically 50 ohms. Thus, spurious responses and passband distortion normally associated with manifolding circuitry is eliminated with the present invention. Also, the electrically small size of the resonators in accordance with the present invention permit the resonators to be connected so that their 3 dB points overlap and so that the circuit has a 50 ohm input impedance over the entire frequency band of operation of the filter bank with no spurious responses. FIG. 7 illustrates the frequency response of the eleven manifolded filters shown in FIG. 6; and FIG. 8 illustrates the input impedance of the manifolded filters. As shown in FIG. 8, the input impedance is slightly less than 50 ohms over the 100 MHz bandwidth of the FIG. 6 filter bank. 
     With the present invention, resonators can be combined on a single dielectric membrane and connected to form high quality, high frequency filter banks without the need for bulky and complicated manifolding circuitry previously required with high frequency filters (e.g., above 1 GHz). 
     It will be recognized by those skilled in the art that the present invention is not limited to the above-described embodiment which has been provided merely as an example of the present invention. Instead, the present invention is defined by the appended claims. 
     
                                           TABLE 1__________________________________________________________________________FundamentalThickness ThicknessLayer 85 Layer 30       Fser           Fpar               Tc   Co  Cm  Lm   Rm      Co(μm) (μm)       (MHz)           (MHz)               (ppm/C)                    (pf)                        (ff)                            (uh) (ohms)                                     Q   Cm   FOM__________________________________________________________________________0.1   2.12920       950.002  74.124                    6.6928       118.72       0.21080.2   2.05397       949.999           950.151                73.601                    3.3464                         1.0676                            26.2892                                 70.67                                     2220.54                                         3134.48                                              0.70840.3   1.99057       950.000           950.314                72.751                    2.2309                         1.4790                            18.9764                                 47.99                                     2360.48                                         1508.37                                              1.56490.4   1.93577       949.999           950.541                71.569                    1.6732                         1.9095                            14.6988                                 35.25                                     2489.22                                         876.28                                              2.84070.5   1.88725       950.000           950.837                70.048                    1.3386                         2.3591                            11.8974                                 27.24                                     2606.83                                         567.41                                              4.59420.6   1.84332       949.999           951.203                68.168                    1.1155                         2.8317                            9.9118                                 21.80                                     2713.77                                         393.93                                              6.88910.7   1.80268       950.000           951.654                65.902                    0.9561                         3.3335                            8.4197                                 17.88                                     2810.31                                         286.82                                              9.79810.8   1.76432       950.002           952.198                63.210                    0.8366                         3.8725                            7.2478                                 14.94                                     2896.39                                         216.04                                              13.40680.9   1.72741       950.001           952.844                60.037                    0.7436                         4.4583                            6.2954                                 12.65                                     2971.56                                         166.80                                              17.81501.0   1.69121       949.998           953.613                56.317                    0.6693                         5.1022                            5.5009                                 10.82                                     3034.88                                         131.17                                              23.13621.1   1.65502       950.001           954.531                51.967                    0.6084                         5.8175                            4.8246                                 9.34                                     3084.82                                         104.59                                              29.49491.2   1.61817       950.001           955.621                46.890                    0.5577                         6.6188                            4.2404                                 8.11                                     3119.29                                         84.26                                              37.01771.3   1.57992       950.002           956.918                40.978                    0.5148                         7.5229                            3.7308                                 7.10                                     3135.54                                         68.44                                              45.81781.4   1.53944       950.001           958.456                34.116                    0.4781                         8.5472                            3.2837                                 6.26                                     3130.39                                         55.93                                              55.96811.5   1.49571       950.002           960.282                26.198                    0.4462                         9.7085                            2.8910                                 5.57                                     3100.40                                         45.96                                              67.46091.6   1.44746       950.001           952.443                17.154                    0.4183                        11.0192                            2.5471                                 5.00                                     3042.65                                         37.96                                              80.15191.7   1.39300       950.000           964.941                 6.987                    0.3937                        12.4810                            2.2488                                 4.54                                     2955.63                                         31.54                                              93.69991.8   1.33003       949.999           967.810                -4.162                    0.3718                        14.0733                            1.9943                                 4.19                                     2840.66                                         26.42                                              107.51801.9   1.25532       950.001           970.992               -15.948                    0.3523                        15.7382                            1.7834                                 3.94                                     2703.15                                         22.38                                              120.77302.0   1.16431       950.001           974.335               -27.761                    0.3346                        17.3628                            1.6165                                 3.78                                     2553.20                                         19.27                                              132.47302.1   1.05050       950.001           977.586               -38.738                    0.3187                        18.7773                            1.4947                                 3.71                                     2404.29                                         16.97                                              141.65502.2   0.90506       950.001           980.405               -47.895                    0.3042                        18.7847                            1.4186                                 3.73                                     2270.09                                         15.38                                              147.63402.3   0.71767       950.000           982.476               -54.420                    0.2910                        20.2355                            1.3870                                 3.83                                     2160.30                                         14.38                                              150.22702.4   0.48136       950.000           983.657               -58.051                    0.2789                        20.1095                            1.3957                                 4.01                                     2077.81                                         13.87                                              149.83402.5   0.20386       950.000           984.061               -59.326                    0.2677                        19.5410                            1.4363                                 4.25                                     2018.81                                         13.70                                              147.3580__________________________________________________________________________ 
    
     
                                           TABLE 2__________________________________________________________________________2nd HarmonicThickness ThicknessLayer 85 Layer 30       Fser           Fpar               Tc   Co   Cm   Lm    Rm         Co(μm) (μm)       (MHz)           (MHz)               (ppm/C)                    (pf) (ff) (uh)  (ohms)                                          Q    Cm   FOM__________________________________________________________________________0.2   5.19765       950.000           950.067               74.571                    3.3464                         0.4748                              59.1144                                    127.31                                          2771.54                                               1048.22                                                    0.39320.3   5.13425       950.001           950.137               74.173                    2.2309                         0.6452                              43.4988                                    90.26 2876.76                                               3457.56                                                    0.83200.4   5.07945       950.000           950.233               73.684                    1.6732                         0.8189                              34.2743                                    68.94 2967.70                                               2043.26                                                    1.45240.5   5.03093       950.001           950.354               73.063                    1.3386                         0.9966                              28.1622                                    55.18 3046.25                                               1343.11                                                    2.26800.6   4.98700       950.000           950.503               72.304                    1.1155                         1.1807                              23.7712                                    45.56 3114.44                                               944.75                                                    3.29660.7   4.94636       950.001           950.682               71.397                    0.9561                         1.3745                              20.4200                                    38.41 3173.74                                               695.63                                                    4.56240.8   4.90801       950.000           950.897               70.322                    0.8366                         1.5819                              17.7427                                    32.84 3225.39                                               528.86                                                    6.09870.9   4.87110       949.999           951.153               69.055                    0.7436                         1.8078                              15.5257                                    28.34 3270.10                                               411.36                                                    7.94951.0   4.83489       950.000           951.459               67.560                    0.6693                         2.0579                              13.6388                                    24.61 3308.26                                               325.23                                                    10.17201.1   4.79871       949.999           951.824               65.791                    0.6084                         2.3392                              11.9987                                    21.44 3339.80                                               260.11                                                    12.84001.2   4.76186       949.999           952.262               63.688                    0.5577                         2.6603                              10.5504                                    18.72 3364.27                                               209.65                                                    16.04681.3   4.72361       950.000           952.793               61.172                    0.5148                         3.0319                              9.2571                                    16.34 3380.63                                               169.80                                                    19.90911.4   4.68313       949.999           953.439               58.141                    0.4781                         3.4677                              8.0939                                    14.26 3387.25                                               137.86                                                    24.56991.5   4.63940       950.000           954.232               54.465                    0.4462                         3.9845                              7.0440                                    12.43 3381.66                                               111.98                                                    30.19881.6   4.59115       949.999           955.213               49.982                    0.4183                         4.6039                              6.0964                                    10.83 3360.49                                               90.86                                                    36.98591.7   4.53668       950.001           956.436               44.497                    0.3937                         5.3518                              5.2443                                    9.43  3319.31                                               73.56                                                    45.12231.8   4.47371       950.000           957.962               37.799                    0.3718                         6.2584                              4.4847                                    8.23  3252.93                                               59.41                                                    54.75231.9   4.39901       950.000           959.864               29.701                    0.3523                         7.3535                              3.8168                                    7.22  3156.17                                               47.90                                                    65.88672.0   4.30800       950.000           962.207               20.133                    0.3346                         8.6551                              3.2428                                    6.40  3025.89                                               38.66                                                    78.26072.1   4.19419       950.000           964.998               9.316                    0.3187                         10.1427                              2.7672                                    5.77  2864.49                                               31.42                                                    91.16122.2   4.04874       950.001           968.114               -2.013                    0.3042                         11.7115                              2.3965                                    5.33  2683.98                                               25.98                                                    103.32502.3   3.86135       950.000           971.192               -12.458                    0.2910                         13.1270                              2.1381                                    5.09  2506.97                                               22.17                                                    113.09202.4   3.62505       950.000           973.647               -20.204                    0.2789                         14.0559                              1.9968                                    5.05  2359.82                                               19.84                                                    118.94302.5   3.34754       950.000           974.942               -23.788                    0.2677                         14.2416                              1.9708                                    5.21  2559.49                                               18.80                                                    120.19902.6   3.05932       950.005           974.928               -22.958                    0.2574                         13.6830                              2.0512                                    5.55  2206.95                                               18.81                                                    117.31102.7   2.79865       950.002           973.850               - 18.696                    0.2479                         12.6011                              2.2273                                    6.06  2192.65                                               19.67                                                    111.46402.8   2.58552       950.000           972.123               -12.470                    0.2390                         11.2621                              2.4922                                    6.75  2205.32                                               21.22                                                    103.90602.9   2.41917       950.000           970.094               -5.561                    0.2308                         9.8662                              2.8447                                    7.59  2236.23                                               23.39                                                    95.59963.0   2.29010       949.999           967.997               1.170                    0.2231                         8.5330                              3.2892                                    8.61  2279.28                                               26.14                                                    87.17923.1   2.18840       950.000           965.973               7.241                    0.2159                         7.3213                              3.8336                                    9.82  2330.25                                               29.49                                                    79.02083.2   2.10636       949.999           964.094               12.429                    0.2092                         6.2521                              4.4892                                    11.23 2386.17                                               33.45                                                    71.32963.3   2.03845       950.001           962.392               16.667                    0.2028                         5.3255                              5.2703                                    12.87 2444.90                                               38.08                                                    64.19863.4   1.98092       950.000           960.871               19.966                    0.1968                         4.5309                              6.1945                                    14.76 2504.84                                               43.45                                                    57.65533.5   1.93074       949.999           959.524               22.379                    0.1912                         3.8535                              7.2834                                    16.95 2564.80                                               49.62                                                    51.68593.6   1.88625       949.999           958.336               23.966                    0.1859                         3.2774                              8.5637                                    19.48 2623.86                                               56.72                                                    46.25583.7   1.84591       950.000           957.292               24.783                    0.1809                         2.7876                              10.0684                                    22.41 2681.26                                               64.89                                                    41.32053.8   1.80863       950.001           956.373               24.880                    0.1761                         2.3707                              11.8388                                    25.82 2736.36                                               74.29                                                    36.83263.9   1.77356       949.999           955.561               24.290                    0.1716                         2.0152                              13.9277                                    29.81 2788.59                                               85.16                                                    32.74574.0   1.73998       950.000           954.845               23.036                    0.1673                         1.7109                              16.4044                                    34.51 2837.49                                               97.79                                                    29.01484.1   1.70730       949.999           954.209               21.139                    0.1632                         1.4501                              19.3551                                    40.09 2881.96                                               112.57                                                    25.60134.2   1.67496       950.000           953.646               18.591                    0.1594                         1.2255                              22.9029                                    46.79 2921.77                                               130.03                                                    22.46934.3   1.64245       949.999           953.141               15.394                    0.1556                         1.0315                              27.2093                                    54.94 2955.95                                               150.89                                                    19.58994.4   1.60922       949.999           952.692               11.541                    0.1521                         0.8635                              32.5020                                    65.02 2983.57                                               176.15                                                    16.93804.5   1.57470       949.999           952.289               7.029                    0.1487                         0.7178                              39.1034                                    77.71 3003.60                                               207.21                                                    14.49534.6   1.53822       949.999           951.926               1.864                    0.1455                         0.5911                              47.4853                                    94.01 3014.97                                               246.16                                                    12.24814.7   1.49897       950.001           951.604               -3.929                    0.1424                         0.4810                              58.3556                                    115.47                                          3016.57                                               296.07                                                    10.18864.8   1.45596       950.000           951.313               -10.291                    0.1394                         0.3855                              72.8050                                    144.50                                          3007.50                                               361.69                                                    8.31524.9   1.40787       950.001           951.055               -17.122                    0.1366                         0.3032                              92.5795                                    184.99                                          2987.18                                               450.54                                                    6.63025.0   1.35295       950.000           950.826               -24.259                    0.1339                         0.2328                              120.5670                                    243.49                                          2955.59                                               575.01                                                    5.14015.1   1.28876       950.000           950.628               -31.472                    0.1312                         0.1735                              161.7690                                    331.41                                          2913.60                                               756.38                                                    3.85205.2   1.21188       950.000           950.460               -38.458                    0.1287                         0.1246                              225.2490                                    469.61                                          2863.04                                               1032.94                                                    2.77185.3   1.11743       950.001           950.322               -44.861                    0.1263                         0.0855                              328.3990                                    698.38                                          2806.82                                               1477.55                                                    1.89965.4   0.99855       950.000           950.212               -50.306                    0.1239                         0.0554                              506.7800                                    1100.72                                          2748.18                                               2237.90                                                    1.22805.5   0.84610       950.000           950.130               -54.476                    0.1217                         0.0334                              839.6960                                    1862.04                                          2691.76                                               3640.62                                                    0.73945.6   0.65010       950.000           950.073               -57.202                    0.1195                         0.0184                              1522.5600                                    3440.20                                          2641.80                                               6483.39                                                    0.40755.7   0.40579       950.000           950.036               -58.567                    0.1174                         0.0090                              3105.4800                                    7126.77                                          2600.90                                               12991.50                                                    0.20025.8   0.12529       950.000           950.015               -58.959                    0.1154                         0.0038                              7459.5200                                    12316.90                                          2571.30                                               30669.00                                                    0.0838__________________________________________________________________________ 
    
     
                                           TABLE 3__________________________________________________________________________3rd HarmonicThickness ThicknessLayer 85 Layer 30       Fser           Fpar               Tc   Co   Cm   Lm    Rm         Co(μm) (μm)       (MHz)           (MHz)               (ppm/C)                    (pf) (ff) (uh)  (ohms)                                          Q    Cm   FOM__________________________________________________________________________0.2   8.34134       950.000           950.043               74.797                    3.3464                         0.3052                              91.9532                                    183.96                                          2983.68                                               10963.00                                                    0.27210.3   8.27794       950.000           950.088               74.571                    2.2309                         0.4126                              68.0260                                    132.53                                          3063.94                                               5407.17                                                    0.56660.4   8.22314       950.000           950.148               74.263                    1.6732                         0.5212                              53.8508                                    102.63                                          3132.10                                               3210.31                                                    0.97560.5   8.17462       950.000           950.224               73.873                    1.3386                         0.6316                              44.4392                                    83.12 3191.14                                               2119.40                                                    1.50570.6   8.13069       949.999           950.317               73.397                    1.1155                         0.7459                              37.6302                                    69.32 3240.41                                               1495.55                                                    2.16670.7   8.09005       950.000           950.430               72.830                    0.9561                         0.8657                              32.4203                                    58.93 3284.01                                               1104.42                                                    2.97350.8   8.05169       950.000           950.564               72.159                    0.8366                         0.9940                              28.2372                                    50.73 3322.20                                               841.67                                                    3.94710.9   8.01478       950.000           950.724               71.367                    0.7436                         1.1338                              24.7552                                    44.03 3355.78                                               655.91                                                    5.11621.0   7.97859       949.998           950.913               70.432                    0.6693                         1.2889                              21.7763                                    38.40 3385.21                                               519.28                                                    6.51911.1   7.94239       950.000           951.142               69.322                    0.6084                         1.4639                              19.1725                                    33.55 3410.72                                               415.63                                                    8.20621.2   7.90554       950.000           951.417               67.996                    0.5577                         1.6647                              16.8604                                    29.32 3432.10                                               335.04                                                    10.24371.3   7.86729       950.000           951.750               66.399                    0.5148                         1.8985                              14.7840                                    25.59 3448.85                                               271.19                                                    12.71771.4   7.82681       950.000           952.158               64.456                    0.4781                         2.1748                              12.9057                                    22.26 3459.95                                               219.82                                                    15.73991.5   7.78308       950.000           952.664               62.068                    0.4462                         2.5059                              11.2001                                    19.30 3463.76                                               178.05                                                    19.45361.6   7.73483       950.000           953.297               59.106                    0.4183                         2.9082                              9.6509                                    16.66 3457.71                                               143.83                                                    24.03951.7   7.68037       950.000           954.096               55.398                    0.3937                         3.4028                              8.2481                                    14.32 3438.07                                               115.70                                                    29.71621.8   7.61739       950.000           955.118               50.730                    0.3718                         4.0169                              6.9871                                    12.27 3399.66                                               92.56                                                    36.72781.9   7.54269       950.000           956.429               44.856                    0.3523                         4.7836                              5.8674                                    10.50 3335.82                                               73.64                                                    45.30002.0   7.45169       949.999           958.108               37.550                    0.3346                         5.7373                              4.8920                                    9.01  3239.14                                               58.33                                                    55.53432.1   7.33787       950.000           960.229               28.739                    0.3187                         6.9000                              4.0677                                    7.82  3104.18                                               46.19                                                    67.20562.2   7.19243       950.000           962.784               18.776                    0.3042                         8.2429                              3.4050                                    6.93  2933.09                                               36.91                                                    79.47312.3   7.00504       950.000           965.577               8.782                    0.2910                         9.6209                              2.9173                                    6.35  2742.64                                               30.25                                                    90.67792.4   6.76873       950.000           968.089               0.752                    0.2789                         10.7206                              2.6180                                    6.09  2565.13                                               26.01                                                    98.61292.5   6.49123       950.000           969.606               -3.134                    0.2677                         11.1644                              2.5140                                    6.17  2433.72                                               23.98                                                    101.49302.6   6.20307       950.000           969.705               -1.907                    0.2574                         10.7897                              2.6013                                    6.57  2361.97                                               23.86                                                    99.00272.7   5.94236       950.000           968.549               3.499                    0.2479                         9.7743                              2.8715                                    7.32  2341.91                                               25.36                                                    92.34402.8   5.72921       950.000           966.644               11.085                    0.2390                         8.4491                              3.3219                                    8.41  2357.73                                               28.29                                                    83.33942.9   5.56286       950.000           964.478               19.048                    0.2308                         7.0883                              3.9596                                    9.87  2395.66                                               32.56                                                    73.57933.0   5.43378       950.000           962.368               26.322                    0.2231                         5.8466                              4.8005                                    11.71 2446.06                                               38.16                                                    64.10423.1   5.33208       950.000           960.468               32.477                    0.2159                         4.7840                              5.8668                                    13.99 2502.54                                               45.13                                                    55.45323.2   5.25004       950.000           958.830               37.453                    0.2092                         3.9059                              7.1858                                    16.75 2560.96                                               53.55                                                    47.82593.3   5.18214       950.000           957.449               41.362                    0.2028                         3.1932                              8.7896                                    20.03 2618.69                                               63.51                                                    41.23013.4   5.12450       950.001           956.300               44.322                    0.1968                         2.6192                              10.7158                                    23.92 2674.15                                               75.16                                                    35.58153.5   5.07442       950.000           955.345               46.506                    0.1912                         2.1576                              13.0084                                    28.48 2726.47                                               88.63                                                    30.76303.6   5.02993       950.000           954.551               48.027                    0.1859                         1.7855                              15.7196                                    33.81 2775.21                                               104.13                                                    26.65283.7   4.98960       949.999           953.888               48.978                    0.1809                         1.4841                              18.9115                                    40.03 2820.20                                               121.88                                                    23.13883.8   4.95232       949.999           953.334               49.428                    0.1761                         1.2386                              22.6598                                    47.27 2861.42                                               142.20                                                    20.12313.9   4.91724       950.000           952.867               49.424                    0.1716                         1.0373                              27.0566                                    55.71 2898.91                                               165.43                                                    17.52314.0   4.88366       950.000           952.470               48.991                    0.1673                         0.8712                              32.2164                                    65.57 2932.72                                               192.06                                                    15.26994.1   4.85098       950.000           952.131               48.199                    0.1632                         0.7331                              38.2834                                    77.13 2962.86                                               222.66                                                    13.30674.2   4.81864       950.000           951.840               46.861                    0.1594                         0.6176                              45.4429                                    90.74 2989.29                                               258.01                                                    11.58514.3   4.78613       950.000           951.587               45.134                    0.1556                         0.5204                              53.9358                                    106.89                                          3011.88                                               299.11                                                    10.06964.4   4.75290       950.000           951.367               42.920                    0.1521                         0.4380                              64.0848                                    126.23                                          3030.38                                               347.31                                                    8.72534.5   4.71838       950.000           951.174               40.168                    0.1487                         0.3677                              76.3294                                    149.66                                          3044.40                                               404.48                                                    7.52674.6   4.68191       949.998           951.002               36.810                    0.1455                         0.3075                              91.2860                                    178.45                                          3053.37                                               473.22                                                    6.45244.7   4.64266       949.999           950.851               32.765                    0.1424                         0.2555                              109.8510                                    214.52                                          3056.63                                               557.34                                                    5.48434.8   4.59965       949.999           950.717               27.947                    0.1394                         0.2105                              133.3600                                    260.71                                          3053.26                                               662.52                                                    4.60864.9   4.55156       950.000           950.595               22.269                    0.1366                         0.1713                              163.8690                                    321.56                                          3041.82                                               797.48                                                    3.81435.0   4.49663       950.000           950.487               15.668                    0.1339                         0.1371                              204.770                                    404.48                                          3021.93                                               976.62                                                    3.09435.1   4.43244       950.000           950.388               8.135                    0.1312                         0.1072                              261.7580                                    522.21                                          2991.96                                               1223.90                                                    2.44465.2   4.35556       950.000           950.300               -0.233                    0.1287                         0.0813                              345.0530                                    697.81                                          2951.57                                               1582.33                                                    1.85635.3   4.26112       950.000           950.223               -9.170                    0.1263                         0.0592                              474.0840                                    975.53                                          2900.78                                               2133.02                                                    1.36005.4   4.14223       950.000           950.156               -18.181                    0.1239                         0.0407                              689.1240                                    1446.60                                           284.35                                               3043.12                                                    0.93445.5   3.98978       950.000           950.101               -26.520                    0.1217                         0.0260                              1079.2200                                    2315.36                                          2782.28                                               4679.10                                                    0.59465.6   3.79379       950.000           950.060               -33.283                    0.1195                         0.0150                              1866.8700                                    4090.55                                          2724.18                                               7949.53                                                    0.34275.7   3.54947       950.000           950.031               -37.644                    0.1174                         0.0076                              3685.3900                                    8225.07                                          2674.52                                               15417.90                                                    0.17355.8   3.26898       950.000           950.013               -39.175                    0.1154                         0.0032                              8734.9600                                    19739.50                                          2641.36                                               35912.80                                                    0.0735__________________________________________________________________________