Coefficients for the first few spinor zeta-functions (by Kuss)

[Coefficients] for the first few spinor zeta-functions and cental values of their twists.

For example here are the first few coefficients for the weight 20 degree 2 spinor zeta-fucntion:

#
#  Tabelle der Eigenwerte von
#
#	-1*2^9*3^2*5*7*11*V(phi10) * V(phi10)+1/2*V(phi12*E8)+1/2*V(phi10*E10)
#
#  modulo 76951105693010463782210547818468401120542508664108099728913816865635880442571286590354611358653312136495932217293
#  
#
  
lambda(2) = -840.960
lambda(3) =  346.935.960
lambda(5) = -5.232.247.240.500
lambda(7) =  2.617.414.076.964.400
lambda(11) =  1.427.823.701.421.564.744
lambda(13) = -83.773.835.478.688.698.980
lambda(17) =  14.156.088.476.175.218.899.620
lambda(19) =  146.957.560.176.221.097.673.720
lambda(23) = -7.159.245.922.546.757.692.913.520
lambda(29) =  1.055.528.218.470.800.414.110.149.180
lambda(31) =  4.031.470.549.468.367.403.585.068.224
lambda(37) = -154.882.657.977.740.251.483.442.365.940
lambda(41) =  1.126.683.124.934.949.617.518.831.346.964
lambda(43) =  74.572.686.686.194.644.813.168.430.600
lambda(47) = -13.773.335.595.379.978.013.820.602.730.720
lambda(53) =  29.292.488.702.536.161.643.591.933.657.260
lambda(59) =  521.943.213.201.995.351.655.113.144.025.960
lambda(61) =  896.978.197.899.858.751.399.574.623.768.444
lambda(67) = -2.921.787.486.641.381.474.027.809.454.434.280
lambda(71) = -10.040.723.756.183.052.209.438.026.581.108.816
lambda(73) =  35.758.360.743.202.050.929.441.049.170.653.780
lambda(79) = -162.246.739.774.459.334.098.015.102.062.271.520
lambda(83) = -206.892.964.328.868.666.394.961.575.845.492.360
lambda(89) =  680.395.062.782.220.767.996.769.753.143.492.340
lambda(97) =  2.332.265.955.650.189.235.208.550.925.056.957.380
lambda(101) =  4.386.172.918.053.625.462.559.466.358.055.947.404
lambda(103) =  32.195.086.396.948.327.734.208.192.573.193.192.560
lambda(107) = -24.228.077.499.906.736.103.239.295.291.195.489.400
lambda(109) = -12.955.699.549.333.026.964.322.913.228.574.296.740
lambda(113) =  36.255.949.371.446.088.080.680.636.143.504.043.620
lambda(127) = -361.342.894.775.546.586.251.665.886.043.645.512.960
lambda(131) = -2.053.619.322.749.000.749.691.039.889.490.669.814.376
lambda(137) = -3.744.460.506.310.723.939.277.414.819.956.659.325.740
lambda(139) =  419.297.609.100.113.389.140.294.392.040.631.725.640
lambda(149) =  10.769.495.917.074.628.858.977.625.085.917.067.553.900
lambda(151) =  9.334.247.630.257.185.873.211.774.091.931.905.801.104
lambda(157) =  33.793.021.179.199.016.867.594.391.971.251.561.680.700
lambda(163) = -110.850.825.156.572.723.151.988.432.773.370.438.791.080
lambda(167) = -118.679.333.472.681.624.640.702.222.790.918.993.560.080
lambda(173) =  46.749.322.156.688.096.269.201.140.297.725.725.372.380
lambda(179) =  104.233.219.767.057.822.550.544.911.884.186.972.529.080
lambda(181) =  207.762.909.808.835.396.767.334.770.633.028.101.969.324
lambda(191) = -63.517.483.904.754.733.670.967.681.976.125.665.751.936
lambda(193) = -267.251.286.131.268.420.110.302.359.162.667.934.949.500
lambda(197) = -255.034.267.090.827.972.833.444.866.782.055.909.482.420
lambda(199) =  3.624.095.258.996.012.770.479.419.815.087.685.961.665.200
lambda(211) =  9.782.628.970.544.607.179.115.817.803.912.815.906.919.544
lambda(223) =  7.633.350.373.112.207.921.215.176.727.261.847.796.623.680
lambda(227) =  3.690.457.413.425.483.396.410.498.083.461.810.010.273.240
lambda(229) = -9.459.107.646.730.616.297.026.260.721.656.143.628.885.620
lambda(233) = -6.518.233.529.510.248.143.084.719.131.742.966.396.228.460
lambda(239) = -174.289.033.715.822.749.051.787.796.341.723.196.742.769.760
lambda(241) =  165.411.807.125.763.090.448.015.609.164.763.861.692.881.764
lambda(251) =  10.040.525.828.214.215.237.077.359.707.488.429.149.078.504
lambda(257) =  559.093.438.914.779.356.899.053.428.598.510.513.591.568.900
lambda(263) = -1.093.446.135.900.068.391.671.153.374.335.286.886.635.158.480
lambda(269) = -779.319.800.265.343.124.419.069.257.884.629.979.797.575.780
lambda(271) =  2.126.139.242.814.193.873.497.724.221.863.293.610.241.445.984
lambda(277) = -1.829.398.521.407.900.555.919.736.166.452.464.004.650.368.660
lambda(281) =  873.606.030.193.110.809.794.772.171.610.387.367.679.876.724
lambda(283) =  2.284.669.073.643.510.737.359.980.059.014.097.257.668.316.840
lambda(293) = -1.002.663.569.785.176.779.113.280.997.156.603.069.381.798.900
lambda(307) = -13.034.670.684.793.860.775.645.487.512.403.484.297.745.757.000
lambda(311) = -7.787.112.252.426.689.018.271.832.043.149.843.510.894.843.056
lambda(313) = -11.591.518.908.086.637.517.572.515.263.901.895.018.178.223.180
lambda(317) = -9.179.771.636.920.468.169.855.409.559.744.825.026.721.371.780
lambda(331) = -213.447.033.740.089.463.462.053.489.746.773.284.457.099.576
lambda(337) =  84.669.849.416.835.714.006.952.735.473.040.220.442.656.890.660
lambda(347) =  230.458.399.280.174.855.021.546.789.850.838.785.135.022.883.880
lambda(349) = -185.619.024.402.281.287.631.814.735.712.109.460.539.452.952.900
lambda(353) =  2.598.771.740.172.754.824.454.272.724.943.092.027.018.821.060
lambda(359) =  117.608.353.485.511.419.149.405.458.741.378.983.255.079.643.760
lambda(367) = -367.777.575.361.137.277.090.843.735.111.125.772.482.655.971.680
lambda(373) = -322.660.653.230.457.762.543.907.839.235.182.295.913.572.766.420
lambda(379) = -79.805.169.831.994.879.651.985.700.137.963.052.252.556.349.720
lambda(383) =  12.745.650.135.391.529.798.274.593.543.759.038.771.196.893.440
lambda(389) =  1.293.552.421.949.295.265.163.351.505.836.527.141.014.458.632.140
lambda(397) = -1.679.687.580.771.102.854.867.693.108.890.062.219.800.095.794.020
lambda(401) =  2.858.201.743.929.466.986.375.501.968.188.691.120.029.233.629.604
lambda(409) =  348.729.101.349.455.034.615.416.081.981.576.296.433.036.467.060
lambda(419) = -1.090.398.123.154.252.531.022.990.634.807.666.434.017.821.587.880
lambda(421) = -3.448.330.682.698.607.303.666.718.047.640.046.602.108.149.212.916
lambda(431) =  5.036.121.842.030.593.464.215.094.552.734.870.331.960.809.377.824
lambda(433) =  7.234.292.070.823.611.620.133.890.216.498.300.909.312.543.744.740
lambda(439) =  738.529.111.605.902.162.612.444.304.773.541.252.611.537.231.440
lambda(443) = -2.257.815.213.371.794.341.783.826.716.082.311.901.264.623.279.000
lambda(449) =  13.156.299.820.810.809.466.350.508.583.994.241.855.754.719.373.700
lambda(457) =  6.670.680.987.546.252.887.830.377.479.657.164.176.483.836.713.300
lambda(461) = -8.923.632.858.941.625.315.095.184.613.338.776.729.316.895.561.956
lambda(463) = -696.067.706.851.539.160.752.742.331.382.008.462.070.343.189.280
lambda(467) =  48.783.493.386.294.650.412.247.653.778.029.736.614.224.822.438.520
lambda(479) = -52.376.572.802.707.441.817.786.512.485.427.720.744.345.040.253.120
lambda(487) =  884.502.023.850.550.023.970.426.880.973.342.613.132.327.918.960
lambda(491) = -37.978.790.125.817.668.114.350.835.447.222.448.242.534.457.039.736
lambda(499) = -4.203.062.739.409.816.448.391.998.976.406.504.126.239.608.333.000
lambda(503) = -74.213.760.614.913.224.368.709.462.739.792.914.274.629.395.925.040
lambda(509) = -94.930.208.442.699.841.613.845.682.445.466.671.917.610.518.894.340
lambda(521) =  126.029.534.595.313.446.469.491.709.228.617.596.637.885.212.054.484
lambda(523) =  313.930.583.083.149.945.729.047.210.822.295.717.713.472.089.329.480
lambda(541) = -846.417.121.476.315.261.672.039.135.945.854.951.813.046.352.196.036
lambda(547) =  179.035.567.841.599.802.665.704.541.597.417.609.048.767.240.360.280
lambda(557) =  336.270.132.565.793.623.424.075.329.900.366.532.220.446.392.225.500
lambda(563) = -53.231.544.021.380.199.976.397.997.303.703.098.799.621.602.532.680
lambda(569) =  247.855.161.239.134.778.687.448.814.812.627.966.867.672.046.276.020
lambda(571) =  5.695.029.846.320.377.697.851.385.204.354.500.168.481.761.038.184
lambda(577) =  66.980.903.961.524.111.269.460.383.744.487.762.337.101.068.215.940
lambda(587) = -1.780.958.828.863.948.898.791.829.210.650.979.847.840.577.527.126.840
lambda(593) = -2.603.517.183.792.953.626.728.796.423.951.604.086.706.944.940.603.100
lambda(599) = -305.520.766.836.151.676.559.795.767.188.491.294.933.493.724.156.400
lambda(601) =  781.141.071.152.686.473.507.945.733.498.276.399.016.117.800.604.404
lambda(607) =  2.445.638.663.958.212.480.034.776.080.096.222.207.329.275.815.297.600
lambda(613) =  365.069.572.451.456.821.029.003.100.393.286.737.339.054.568.468.620
lambda(617) =  4.744.987.063.843.265.040.759.946.301.141.998.615.248.108.098.300.820
lambda(619) = -5.709.939.240.758.780.134.780.869.660.246.901.235.976.338.407.362.680
lambda(631) = -3.364.528.899.095.394.549.763.146.152.508.849.611.102.013.232.387.376
lambda(641) =  1.417.242.465.235.812.087.874.914.630.221.261.276.187.075.335.471.364
lambda(643) =  4.221.307.522.664.761.382.367.177.281.897.396.885.169.490.394.786.200
lambda(647) =  1.389.179.541.308.601.842.223.456.336.843.499.994.589.114.545.970.480
lambda(653) = -165.691.769.475.868.626.098.084.597.674.325.369.553.657.730.423.140
lambda(659) =  7.935.430.371.868.671.480.872.457.661.224.678.447.023.592.543.181.560
lambda(661) =  8.894.095.452.091.030.617.985.542.453.317.292.620.621.653.348.212.844
lambda(673) = -17.697.387.529.487.643.283.462.436.772.314.534.534.085.230.738.226.620
lambda(677) =  30.452.118.993.804.319.223.928.951.954.851.607.428.370.852.782.224.140
lambda(683) = -30.161.466.767.718.939.050.406.186.475.363.432.102.470.557.933.312.760
lambda(691) = -38.999.485.389.650.722.748.821.201.910.568.567.015.164.335.393.124.936
lambda(701) = -40.624.891.939.967.321.528.907.667.172.011.018.469.627.869.398.968.196
lambda(709) = -56.856.096.442.287.109.119.788.176.503.051.232.034.090.388.493.065.140
lambda(719) =  9.764.210.923.407.953.138.285.658.715.643.312.308.794.513.533.149.920
lambda(727) = -59.948.456.270.542.405.842.738.535.576.803.309.332.709.214.922.923.760
lambda(733) =  86.705.600.979.762.545.240.269.475.714.809.395.362.804.597.913.988.540
lambda(739) = -101.944.634.031.348.580.562.020.592.193.446.815.898.762.689.737.694.760
lambda(743) = -10.450.835.913.190.722.221.709.167.966.608.064.844.152.967.358.381.200
lambda(751) =  53.852.415.478.017.931.475.510.029.882.245.777.853.242.496.882.585.504
lambda(757) = -10.895.692.262.281.758.724.658.825.817.801.644.081.632.275.423.622.100
lambda(761) =  238.797.077.147.834.488.554.907.811.280.688.800.363.021.794.552.360.244
lambda(769) =  83.866.146.020.804.439.049.293.616.618.297.545.603.824.725.747.017.220
lambda(773) =  84.471.092.544.936.412.635.213.833.928.284.723.948.336.583.838.987.980
lambda(787) = -785.900.693.249.745.116.791.273.018.438.120.371.770.673.370.957.650.440
lambda(797) =  346.699.798.912.795.313.309.723.252.977.440.824.930.768.481.322.014.780
lambda(809) = -1.094.777.552.862.364.764.493.126.600.175.384.833.346.794.395.978.210.540
lambda(811) =  264.564.830.441.285.482.428.859.800.623.822.933.107.099.687.842.983.944
lambda(821) = -694.236.089.970.654.017.608.373.346.591.675.657.360.112.866.628.223.316
lambda(823) =  381.553.805.008.711.052.414.074.501.055.810.518.902.252.815.033.235.280
lambda(827) = -444.829.435.409.142.487.908.641.790.651.171.963.524.238.639.106.513.560
lambda(829) =  2.080.609.730.004.403.723.586.761.462.409.827.774.888.383.836.894.489.980
lambda(839) =  794.373.884.628.008.486.292.192.242.928.704.313.260.247.475.384.977.840
lambda(853) =  360.886.834.243.802.181.174.849.708.947.408.775.243.507.497.880.238.060
lambda(857) = -147.310.889.855.119.834.574.086.892.045.458.202.371.953.953.179.269.900
lambda(859) =  89.368.832.236.809.785.565.865.416.378.424.748.312.340.025.277.214.760
lambda(863) = -2.333.780.259.369.874.453.904.462.038.337.504.435.007.101.291.746.514.880
lambda(877) =  45.365.619.315.356.974.884.365.276.786.671.362.025.604.628.208.456.540
lambda(881) =  6.921.921.598.802.920.445.308.726.020.098.848.144.679.154.512.431.361.124
lambda(883) =  6.314.712.712.082.575.161.074.583.362.460.903.180.280.713.694.684.880.440
lambda(887) = -2.062.615.119.839.681.438.263.706.452.588.931.073.473.471.229.237.096.240
lambda(907) = -2.297.300.139.775.143.823.836.589.429.818.796.449.519.931.962.494.799.800
lambda(911) =  2.502.332.172.299.861.337.458.680.117.453.813.199.170.053.553.847.701.344
lambda(919) = -5.202.556.259.814.384.437.206.424.409.524.379.955.943.829.420.597.088.880
lambda(929) = -2.299.820.495.219.033.403.129.821.737.829.163.398.192.485.784.368.575.420
lambda(937) =  20.728.253.767.997.466.009.656.195.175.274.111.102.482.859.002.172.067.860
lambda(941) =  6.910.242.774.849.130.535.729.742.154.316.194.098.929.850.966.529.113.564
lambda(947) = -3.922.053.237.528.471.526.894.368.916.080.795.990.942.198.787.169.614.920
lambda(953) = -9.744.586.276.127.704.137.071.387.409.413.743.671.485.927.494.322.795.340
lambda(967) =  7.702.986.144.431.860.997.026.595.809.197.973.943.227.493.084.584.377.520
lambda(971) =  25.989.700.002.773.199.653.825.944.249.995.706.984.782.097.406.732.387.784
lambda(977) =  38.480.875.858.561.905.041.313.051.867.595.220.636.913.680.079.843.016.740
lambda(983) = -32.423.811.165.177.479.059.590.178.700.572.318.345.232.334.028.001.310.960
lambda(991) = -36.093.870.763.467.971.560.763.644.574.811.761.504.935.884.691.226.092.736
lambda(997) = -11.827.252.416.410.698.465.141.694.507.545.048.712.780.663.614.521.544.820
#  
#  
lambda(2^2) =  248.256.200.704
lambda(3^2) = -452.051.040.393.665.991
lambda(5^2) = -94.655.785.156.653.029.446.859.375
lambda(7^2) = -5.501.629.950.184.780.949.434.983.315.951
lambda(11^2) = -126.258.221.861.417.704.499.584.077.355.164.268.151
lambda(13^2) =  2.528.254.555.352.510.520.887.488.261.241.887.242.369
lambda(17^2) =  262.144.933.510.286.336.089.464.293.262.250.165.947.750.889
lambda(19^2) = -283.417.759.450.334.375.466.210.009.895.464.677.379.295.086.759
lambda(23^2) =  127.862.428.522.278.879.932.688.110.084.314.434.400.497.569.566.129
lambda(29^2) =  408.550.299.154.535.330.723.926.336.201.059.419.422.405.306.949.883.361
lambda(31^2) = -9.417.686.481.892.622.568.784.061.821.415.683.057.728.289.096.885.473.471
lambda(37^2) =  4.270.657.975.661.931.417.960.508.434.757.260.969.748.219.593.839.247.065.169
lambda(41^2) =  129.620.395.091.878.626.890.240.343.719.327.738.119.688.391.311.944.613.269.369
lambda(43^2) = -2.118.391.905.744.174.698.890.014.439.813.915.105.652.042.393.393.982.400.772.151
lambda(47^2) =  10.717.867.956.150.312.430.187.083.192.735.560.357.439.349.298.395.760.667.696.609
lambda(53^2) = -6.359.983.052.359.692.969.866.068.986.893.310.598.482.880.773.029.488.944.413.754.191
lambda(59^2) =  159.291.906.542.794.821.742.879.348.124.552.646.753.906.149.121.778.952.350.318.431.721
lambda(61^2) = -653.805.853.261.332.407.170.328.486.766.159.640.869.797.840.457.778.124.369.821.593.951
lambda(67^2) =  25.254.882.862.606.589.034.647.035.623.760.404.781.292.970.925.413.106.240.956.567.868.089
lambda(71^2) =  173.803.021.217.204.348.159.401.727.499.142.397.151.285.125.090.266.111.617.333.373.599.889
lambda(73^2) =  244.586.510.121.809.529.678.274.464.585.042.290.025.095.172.202.619.886.711.590.096.047.929
lambda(79^2) = -4.991.297.766.303.348.937.077.560.233.832.507.863.616.069.468.135.037.035.380.368.262.371.039




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