Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,4,Mod(22,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.22");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 169.c (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 13) |
Sato-Tate group: |
Embedding invariants
Embedding label | 22.2 | ||
Root | of defining polynomial | ||
Character | 169.22 | ||
Dual form | 169.4.c.h.146.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0.866025 | − | 1.50000i | 0.306186 | − | 0.530330i | −0.671339 | − | 0.741151i | ||
0.977525 | + | 0.210821i | ||||||||
−1.00000 | + | 1.73205i | −0.192450 | + | 0.333333i | −0.946062 | − | 0.323987i | ||
0.753612 | + | 0.657320i | ||||||||
2.50000 | + | 4.33013i | 0.312500 | + | 0.541266i | |||||
−1.73205 | −0.154919 | −0.0774597 | − | 0.996995i | ||||||
−0.0774597 | + | 0.996995i | ||||||||
1.73205 | + | 3.00000i | 0.117851 | + | 0.204124i | |||||
−6.92820 | − | 12.0000i | −0.374088 | − | 0.647939i | 0.616102 | − | 0.787666i | ||
−0.990190 | + | 0.139727i | ||||||||
22.5167 | 0.995105 | |||||||||
11.5000 | + | 19.9186i | 0.425926 | + | 0.737725i | |||||
−1.50000 | + | 2.59808i | −0.0474342 | + | 0.0821584i | |||||
−6.92820 | + | 12.0000i | −0.189903 | + | 0.328921i | −0.945218 | − | 0.326441i | ||
0.755315 | + | 0.655362i | ||||||||
−10.0000 | −0.240563 | |||||||||
0 | 0 | |||||||||
−24.0000 | −0.458162 | |||||||||
1.73205 | − | 3.00000i | 0.0298142 | − | 0.0516398i | |||||
−0.500000 | + | 0.866025i | −0.00781250 | + | 0.0135316i | |||||
58.5000 | + | 101.325i | 0.834608 | + | 1.44558i | 0.894349 | + | 0.447369i | ||
−0.0597414 | + | 0.998214i | ||||||||
39.8372 | 0.521651 | |||||||||
57.1577 | + | 99.0000i | 0.690151 | + | 1.19538i | 0.971788 | + | 0.235856i | ||
−0.281637 | + | 0.959521i | ||||||||
−4.33013 | − | 7.50000i | −0.0484123 | − | 0.0838525i | |||||
27.7128 | 0.287973 | |||||||||
12.0000 | + | 20.7846i | 0.116291 | + | 0.201422i | |||||
−39.0000 | + | 67.5500i | −0.353568 | + | 0.612398i | −0.986872 | − | 0.161506i | ||
0.633304 | + | 0.773903i | ||||||||
−22.5167 | + | 39.0000i | −0.191508 | + | 0.331702i | |||||
−122.000 | −0.976000 | |||||||||
0 | 0 | |||||||||
−100.000 | −0.712778 | |||||||||
34.6410 | − | 60.0000i | 0.233805 | − | 0.404962i | |||||
70.5000 | − | 122.110i | 0.451432 | − | 0.781903i | −0.547043 | − | 0.837104i | ||
0.998475 | + | 0.0552014i | ||||||||
−3.00000 | − | 5.19615i | −0.0182574 | − | 0.0316228i | |||||
155.885 | 0.903151 | 0.451576 | − | 0.892233i | ||||||
0.451576 | + | 0.892233i | ||||||||
90.9327 | + | 157.500i | 0.502337 | + | 0.870073i | |||||
−13.8564 | − | 24.0000i | −0.0730937 | − | 0.126602i | |||||
202.650 | 1.02218 | |||||||||
12.0000 | + | 20.7846i | 0.0579534 | + | 0.100378i | |||||
−57.5000 | + | 99.5929i | −0.266204 | + | 0.461078i | |||||
71.8801 | − | 124.500i | 0.319379 | − | 0.553180i | −0.660980 | − | 0.750404i | ||
0.980359 | + | 0.197223i | ||||||||
198.000 | 0.845259 | |||||||||
0 | 0 | |||||||||
−39.0000 | −0.154161 | |||||||||
135.966 | − | 235.500i | 0.517910 | − | 0.897047i | −0.481873 | − | 0.876241i | ||
0.999784 | − | 0.0208059i | ||||||||
24.0000 | − | 41.5692i | 0.0881733 | − | 0.152721i | |||||
52.0000 | + | 90.0666i | 0.184417 | + | 0.319419i | 0.943380 | − | 0.331714i | ||
−0.758963 | + | 0.651134i | ||||||||
−69.2820 | −0.237379 | |||||||||
−19.9186 | − | 34.5000i | −0.0659842 | − | 0.114288i | |||||
67.5500 | + | 117.000i | 0.216515 | + | 0.375015i | |||||
−301.377 | −0.935326 | −0.467663 | − | 0.883907i | ||||||
−0.467663 | + | 0.883907i | ||||||||
−1.00000 | − | 1.73205i | −0.00300703 | − | 0.00520833i | |||||
75.5000 | − | 130.770i | 0.220117 | − | 0.381253i | |||||
−105.655 | + | 183.000i | −0.298838 | + | 0.517602i | |||||
−234.000 | −0.642481 | |||||||||
0 | 0 | |||||||||
93.0000 | 0.241029 | 0.120514 | − | 0.992712i | ||||||
0.120514 | + | 0.992712i | ||||||||
−86.6025 | + | 150.000i | −0.218243 | + | 0.378008i | |||||
12.0000 | − | 20.7846i | 0.0294196 | − | 0.0509563i | |||||
−156.000 | − | 270.200i | −0.372257 | − | 0.644768i | |||||
−228.631 | −0.531279 | |||||||||
−122.110 | − | 211.500i | −0.276444 | − | 0.478816i | |||||
−142.028 | − | 246.000i | −0.313398 | − | 0.542822i | 0.665698 | − | 0.746222i | ||
−0.979096 | + | 0.203400i | ||||||||
17.3205 | 0.0372678 | |||||||||
−72.5000 | − | 125.574i | −0.152175 | − | 0.263575i | 0.779852 | − | 0.625964i | ||
−0.932027 | + | 0.362389i | ||||||||
135.000 | − | 233.827i | 0.276533 | − | 0.478968i | |||||
159.349 | − | 276.000i | 0.318667 | − | 0.551948i | |||||
307.000 | 0.599609 | |||||||||
0 | 0 | |||||||||
−48.0000 | −0.0895211 | |||||||||
−393.176 | + | 681.000i | −0.716926 | + | 1.24175i | 0.245286 | + | 0.969451i | ||
−0.962212 | + | 0.272301i | ||||||||
−292.500 | + | 506.625i | −0.521630 | + | 0.903490i | |||||
−78.0000 | − | 135.100i | −0.136088 | − | 0.235712i | |||||
41.5692 | 0.0709782 | |||||||||
−528.275 | − | 915.000i | −0.883025 | − | 1.52944i | −0.847961 | − | 0.530059i | ||
−0.0350641 | − | 0.999385i | ||||||||
258.942 | + | 448.500i | 0.423841 | + | 0.734114i | |||||
−458.993 | −0.735906 | −0.367953 | − | 0.929844i | ||||||
−0.367953 | + | 0.929844i | ||||||||
−124.500 | − | 215.640i | −0.195579 | − | 0.338752i | |||||
122.000 | − | 211.310i | 0.187831 | − | 0.325333i | |||||
−285.788 | + | 495.000i | −0.431344 | + | 0.747110i | |||||
192.000 | 0.284161 | |||||||||
0 | 0 | |||||||||
1276.00 | 1.81723 | 0.908615 | − | 0.417634i | ||||||
0.908615 | + | 0.417634i | ||||||||
0.866025 | − | 1.50000i | 0.00121031 | − | 0.00209631i | |||||
−210.500 | + | 364.597i | −0.288752 | + | 0.500133i | |||||
−235.500 | − | 407.898i | −0.317154 | − | 0.549327i | |||||
−789.815 | −1.04450 | −0.522250 | − | 0.852793i | ||||||
−0.522250 | + | 0.852793i | ||||||||
69.2820 | + | 120.000i | 0.0899915 | + | 0.155870i | |||||
−101.325 | − | 175.500i | −0.129297 | − | 0.223949i | |||||
180.133 | 0.225864 | |||||||||
141.000 | + | 244.219i | 0.173756 | + | 0.300955i | |||||
−156.000 | + | 270.200i | −0.188973 | + | 0.327311i | |||||
488.438 | − | 846.000i | 0.581734 | − | 1.00759i | −0.413540 | − | 0.910486i | ||
0.995274 | − | 0.0971073i | ||||||||
−69.0000 | −0.0808138 | |||||||||
0 | 0 | |||||||||
−390.000 | −0.441960 | |||||||||
−155.885 | + | 270.000i | −0.173812 | + | 0.301050i | |||||
−261.000 | + | 452.065i | −0.286384 | + | 0.496032i | |||||
−99.0000 | − | 171.473i | −0.106918 | − | 0.185187i | |||||
−363.731 | −0.386699 | |||||||||
−100.459 | − | 174.000i | −0.105155 | − | 0.182134i | 0.808646 | − | 0.588295i | ||
−0.913802 | + | 0.406161i | ||||||||
−130.770 | − | 226.500i | −0.134793 | − | 0.233469i | |||||
−318.697 | −0.323538 | |||||||||
−305.000 | − | 528.275i | −0.305000 | − | 0.528275i | |||||
214.500 | − | 371.525i | 0.211322 | − | 0.366021i | −0.740806 | − | 0.671719i | ||
0.952129 | + | 0.305698i | ||||||||
−202.650 | + | 351.000i | −0.196719 | + | 0.340727i | |||||
−182.000 | −0.174107 | −0.0870534 | − | 0.996204i | ||||||
−0.0870534 | + | 0.996204i | ||||||||
0 | 0 | |||||||||
−48.0000 | −0.0446126 | |||||||||
80.5404 | − | 139.500i | 0.0737997 | − | 0.127825i | |||||
753.000 | − | 1304.23i | 0.680330 | − | 1.17837i | −0.294551 | − | 0.955636i | ||
0.974880 | − | 0.222729i | ||||||||
−250.000 | − | 433.013i | −0.222743 | − | 0.385802i | |||||
1551.92 | 1.36373 | 0.681866 | − | 0.731477i | ||||||
0.681866 | + | 0.731477i | ||||||||
−20.7846 | − | 36.0000i | −0.0180158 | − | 0.0312042i | |||||
143.760 | + | 249.000i | 0.122929 | + | 0.212919i | |||||
13.8564 | 0.0116902 | |||||||||
343.500 | + | 594.959i | 0.285962 | + | 0.495302i | 0.972842 | − | 0.231470i | ||
−0.686880 | + | 0.726771i | ||||||||
−198.000 | + | 342.946i | −0.162670 | + | 0.281753i | |||||
67.5500 | − | 117.000i | 0.0547745 | − | 0.0948722i | |||||
705.000 | 0.564290 | |||||||||
0 | 0 | |||||||||
−492.000 | −0.383833 | |||||||||
810.600 | − | 1404.00i | 0.624433 | − | 1.08155i | |||||
39.0000 | − | 67.5500i | 0.0296683 | − | 0.0513870i | |||||
569.500 | + | 986.403i | 0.427874 | + | 0.741099i | |||||
−251.147 | −0.186376 | |||||||||
271.932 | + | 471.000i | 0.199344 | + | 0.345273i | |||||
389.711 | + | 675.000i | 0.282235 | + | 0.488845i | |||||
427.817 | 0.306121 | |||||||||
−276.000 | − | 478.046i | −0.195143 | − | 0.337998i | |||||
143.000 | − | 247.683i | 0.0999149 | − | 0.173058i | −0.811734 | − | 0.584027i | ||
0.911649 | + | 0.410969i | ||||||||
−461.592 | + | 799.500i | −0.318745 | + | 0.552082i | |||||
−208.000 | −0.141964 | |||||||||
0 | 0 | |||||||||
−1974.00 | −1.31656 | −0.658279 | − | 0.752774i | ||||||
−0.658279 | + | 0.752774i | ||||||||
69.2820 | − | 120.000i | 0.0456835 | − | 0.0791262i | |||||
792.000 | − | 1371.78i | 0.516354 | − | 0.894352i | |||||
681.000 | + | 1179.53i | 0.439026 | + | 0.760415i | |||||
173.205 | 0.110423 | |||||||||
1317.22 | + | 2281.50i | 0.830523 | + | 1.43851i | |||||
−423.486 | − | 733.500i | −0.264094 | − | 0.457424i | 0.703232 | − | 0.710961i | ||
−0.967326 | + | 0.253536i | ||||||||
−270.200 | −0.166674 | |||||||||
−118.000 | − | 204.382i | −0.0720045 | − | 0.124716i | 0.827775 | − | 0.561060i | ||
−0.899780 | + | 0.436344i | ||||||||
−60.0000 | + | 103.923i | −0.0362209 | + | 0.0627364i | |||||
301.377 | − | 522.000i | 0.180004 | − | 0.311775i | |||||
−1830.00 | −1.08148 | |||||||||
0 | 0 | |||||||||
−23.0000 | −0.0133102 | |||||||||
−122.110 | + | 211.500i | −0.0699355 | + | 0.121132i | |||||
−397.500 | + | 688.490i | −0.225324 | + | 0.390273i | |||||
151.000 | + | 261.540i | 0.0847229 | + | 0.146744i | |||||
718.801 | 0.399224 | |||||||||
23.3827 | + | 40.5000i | 0.0128563 | + | 0.0222677i | 0.872382 | − | 0.488825i | ||
−0.859526 | + | 0.511093i | ||||||||
−211.310 | − | 366.000i | −0.115023 | − | 0.199225i | |||||
1770.16 | 0.953995 | 0.476998 | − | 0.878905i | ||||||
0.476998 | + | 0.878905i | ||||||||
1287.00 | + | 2229.15i | 0.686773 | + | 1.18953i | |||||
−1345.50 | + | 2330.47i | −0.710962 | + | 1.23142i | |||||
166.277 | − | 288.000i | 0.0870063 | − | 0.150699i | |||||
−270.000 | −0.139916 | |||||||||
0 | 0 | |||||||||
1211.00 | 0.615594 | 0.307797 | − | 0.951452i | ||||||
0.307797 | + | 0.951452i | ||||||||
1105.05 | − | 1914.00i | 0.556411 | − | 0.963732i | |||||
−93.0000 | + | 161.081i | −0.0463860 | + | 0.0803430i | |||||
−157.500 | − | 272.798i | −0.0778217 | − | 0.134791i | |||||
1080.80 | 0.529062 | |||||||||
364.597 | + | 631.500i | 0.176824 | + | 0.306267i | |||||
−502.295 | − | 870.000i | −0.241367 | − | 0.418059i | 0.719737 | − | 0.694247i | ||
−0.961104 | + | 0.276187i | ||||||||
1359.66 | 0.647388 | |||||||||
24.0000 | + | 41.5692i | 0.0113236 | + | 0.0196131i | |||||
−684.000 | + | 1184.72i | −0.319811 | + | 0.553930i | |||||
−457.261 | + | 792.000i | −0.211880 | + | 0.366987i | −0.952303 | − | 0.305154i | ||
0.740423 | + | 0.672141i | ||||||||
624.000 | 0.286563 | |||||||||
0 | 0 | |||||||||
−351.000 | −0.158356 | |||||||||
−1314.63 | + | 2277.00i | −0.587906 | + | 1.01828i | |||||
−260.000 | + | 450.333i | −0.115261 | + | 0.199637i | |||||
1287.00 | + | 2229.15i | 0.565600 | + | 0.979648i | 0.996994 | + | 0.0774841i | ||
−0.431394 | + | 0.902164i | ||||||||
488.438 | 0.212807 | |||||||||
845.241 | + | 1464.00i | 0.365110 | + | 0.632389i | |||||
−6.92820 | − | 12.0000i | −0.00296723 | − | 0.00513940i | |||||
568.113 | 0.241254 | |||||||||
−846.000 | − | 1465.31i | −0.356238 | − | 0.617022i | |||||
1872.00 | − | 3242.40i | 0.781675 | − | 1.35390i | −0.149290 | − | 0.988793i | ||
0.930965 | − | 0.365108i | ||||||||
99.5929 | − | 172.500i | 0.0412401 | − | 0.0714299i | |||||
637.000 | 0.261590 | 0.130795 | − | 0.991409i | ||||||
0.130795 | + | 0.991409i | ||||||||
0 | 0 | |||||||||
290.000 | 0.117144 | |||||||||
−878.150 | + | 1521.00i | −0.351837 | + | 0.609400i | |||||
−124.500 | + | 215.640i | −0.0494780 | + | 0.0856983i | |||||
270.000 | + | 467.654i | 0.106437 | + | 0.184355i | |||||
−1621.20 | −0.633978 | |||||||||
−753.442 | − | 1305.00i | −0.292289 | − | 0.506260i | |||||
692.820 | + | 1200.00i | 0.266642 | + | 0.461837i | |||||
−342.946 | −0.130947 | |||||||||
1299.00 | + | 2249.93i | 0.492106 | + | 0.852353i | 0.999959 | − | 0.00909077i | ||
−0.507852 | + | 0.861444i | ||||||||
−307.000 | + | 531.740i | −0.115395 | + | 0.199870i | |||||
−558.586 | + | 967.500i | −0.208331 | + | 0.360840i | −0.951189 | − | 0.308609i | ||
0.742858 | + | 0.669449i | ||||||||
−348.000 | −0.128788 | |||||||||
0 | 0 | |||||||||
755.000 | 0.275146 | |||||||||
1025.37 | − | 1776.00i | 0.370837 | − | 0.642308i | −0.618858 | − | 0.785503i | ||
0.989695 | + | 0.143195i | ||||||||
−276.000 | + | 478.046i | −0.0990630 | + | 0.171582i | |||||
−1261.00 | − | 2184.12i | −0.449196 | − | 0.778030i | 0.549138 | − | 0.835732i | ||
−0.998334 | + | 0.0577019i | ||||||||
−2747.03 | −0.971223 | |||||||||
−786.351 | − | 1362.00i | −0.275945 | − | 0.477951i | |||||
−371.525 | − | 643.500i | −0.129408 | − | 0.224141i | |||||
−1953.75 | −0.675500 | |||||||||
−585.000 | − | 1013.25i | −0.200775 | − | 0.347753i | |||||
−235.500 | + | 407.898i | −0.0802343 | + | 0.138970i | |||||
−157.617 | + | 273.000i | −0.0533091 | + | 0.0923340i | |||||
−1794.00 | −0.602375 | |||||||||
0 | 0 | |||||||||
−1584.00 | −0.524247 | |||||||||
−41.5692 | + | 72.0000i | −0.0136598 | + | 0.0236594i | |||||
−521.000 | + | 902.398i | −0.169986 | + | 0.294425i | −0.938415 | − | 0.345511i | ||
0.768428 | + | 0.639936i | ||||||||
232.500 | + | 402.702i | 0.0753215 | + | 0.130461i | |||||
2113.10 | 0.679753 | |||||||||
−1304.23 | − | 2259.00i | −0.416615 | − | 0.721598i | |||||
−90.0666 | − | 156.000i | −0.0285697 | − | 0.0494842i | |||||
−2251.67 | −0.709289 | |||||||||
−1080.00 | − | 1870.61i | −0.337858 | − | 0.585187i | |||||
1344.00 | − | 2327.88i | 0.417556 | − | 0.723228i | |||||
458.993 | − | 795.000i | 0.141625 | − | 0.245302i | |||||
120.000 | 0.0367745 | |||||||||
0 | 0 | |||||||||
498.000 | 0.150557 | |||||||||
−1203.78 | + | 2085.00i | −0.361483 | + | 0.626107i | −0.988205 | − | 0.153136i | ||
0.626722 | + | 0.779243i | ||||||||
1260.00 | − | 2182.38i | 0.375836 | − | 0.650967i | |||||
−1403.00 | − | 2430.07i | −0.415704 | − | 0.720020i | |||||
1189.92 | 0.350231 | |||||||||
−1203.78 | − | 2085.00i | −0.351971 | − | 0.609631i | 0.634624 | − | 0.772821i | ||
−0.986595 | + | 0.163190i | ||||||||
−571.577 | − | 990.000i | −0.166025 | − | 0.287563i | |||||
−2508.01 | −0.723729 | −0.361864 | − | 0.932231i | ||||||
−0.361864 | + | 0.932231i | ||||||||
−117.000 | − | 202.650i | −0.0335424 | − | 0.0580971i | |||||
−192.000 | + | 332.554i | −0.0546869 | + | 0.0947205i | |||||
1587.42 | − | 2749.50i | 0.449222 | − | 0.778076i | |||||
5850.00 | 1.64483 | 0.822417 | − | 0.568885i | ||||||
0.822417 | + | 0.568885i | ||||||||
0 | 0 | |||||||||
522.000 | 0.144900 | |||||||||
710.141 | − | 1230.00i | 0.195874 | − | 0.339263i | |||||
−1276.00 | + | 2210.10i | −0.349726 | + | 0.605744i | |||||
−1404.00 | − | 2431.80i | −0.382386 | − | 0.662312i | |||||
−5383.21 | −1.45695 | −0.728475 | − | 0.685072i | ||||||
−0.728475 | + | 0.685072i | ||||||||
1.73205 | + | 3.00000i | 0.000465847 | + | 0.000806872i | |||||
2458.65 | + | 4258.50i | 0.657159 | + | 1.13823i | 0.981348 | + | 0.192240i | ||
−0.324189 | + | 0.945992i | ||||||||
1972.81 | 0.524036 | |||||||||
−1771.00 | − | 3067.46i | −0.467530 | − | 0.809785i | |||||
362.500 | − | 627.868i | 0.0951094 | − | 0.164734i | |||||
−130.770 | + | 226.500i | −0.0341003 | + | 0.0590635i | |||||
942.000 | 0.244145 | |||||||||
0 | 0 | |||||||||
3510.00 | 0.898731 | |||||||||
789.815 | − | 1368.00i | 0.201014 | − | 0.348167i | |||||
370.500 | − | 641.725i | 0.0937299 | − | 0.162345i | |||||
−1989.00 | − | 3445.05i | −0.500178 | − | 0.866333i | −1.00000 | 0.000205037i | |||
0.499822 | − | 0.866128i | ||||||||
1593.49 | 0.398334 | |||||||||
−540.400 | − | 936.000i | −0.134287 | − | 0.232592i | |||||
−247.683 | − | 429.000i | −0.0611852 | − | 0.105976i | |||||
405.300 | 0.0995328 | |||||||||
2027.50 | + | 3511.73i | 0.494995 | + | 0.857357i | |||||
1033.50 | − | 1790.07i | 0.250848 | − | 0.434482i | −0.712911 | − | 0.701254i | ||
0.963760 | + | 0.266772i | ||||||||
−180.133 | + | 312.000i | −0.0434675 | + | 0.0752879i | |||||
−1992.00 | −0.477903 | |||||||||
0 | 0 | |||||||||
3243.00 | 0.769106 | |||||||||
−1709.53 | + | 2961.00i | −0.403112 | + | 0.698211i | |||||
1026.00 | − | 1777.08i | 0.240555 | − | 0.416653i | −0.720318 | − | 0.693644i | ||
0.960872 | + | 0.276991i | ||||||||
−312.000 | − | 540.400i | −0.0727359 | − | 0.125982i | |||||
−161.081 | −0.0373400 | |||||||||
−1371.78 | − | 2376.00i | −0.316201 | − | 0.547676i | |||||
976.877 | + | 1692.00i | 0.223910 | + | 0.387823i | |||||
−3931.76 | −0.896157 | |||||||||
−1665.00 | − | 2883.86i | −0.377386 | − | 0.653652i | 0.613295 | − | 0.789854i | ||
−0.990681 | + | 0.136202i | ||||||||
150.000 | − | 259.808i | 0.0338100 | − | 0.0585607i | |||||
−1402.96 | + | 2430.00i | −0.314479 | + | 0.544694i | −0.979327 | − | 0.202285i | ||
0.664848 | + | 0.746979i | ||||||||
−117.000 | −0.0260815 | |||||||||
0 | 0 | |||||||||
−1467.00 | −0.323448 | |||||||||
845.241 | − | 1464.00i | 0.185345 | − | 0.321027i | |||||
390.000 | − | 675.500i | 0.0850552 | − | 0.147320i | |||||
188.500 | + | 326.492i | 0.0408876 | + | 0.0708194i | 0.885745 | − | 0.464172i | ||
−0.844857 | + | 0.534992i | ||||||||
−408.764 | −0.0881872 | |||||||||
1792.67 | + | 3105.00i | 0.384676 | + | 0.666278i | |||||
270.200 | + | 468.000i | 0.0576698 | + | 0.0998870i | |||||
36.3731 | 0.00772183 | 0.00386092 | − | 0.999993i | ||||||
0.00386092 | + | 0.999993i | ||||||||
−522.000 | − | 904.131i | −0.110229 | − | 0.190923i | |||||
−3562.00 | + | 6169.56i | −0.748194 | + | 1.29591i | 0.200493 | + | 0.979695i | ||
−0.948688 | + | 0.316215i | ||||||||
2641.38 | − | 4575.00i | 0.551891 | − | 0.955902i | |||||
396.000 | 0.0823053 | |||||||||
0 | 0 | |||||||||
−3768.00 | −0.774976 | |||||||||
−2091.45 | + | 3622.50i | −0.427917 | + | 0.741173i | |||||
−4388.00 | + | 7600.24i | −0.893141 | + | 1.54696i | |||||
211.500 | + | 366.329i | 0.0428266 | + | 0.0741778i | |||||
401.836 | 0.0809486 | |||||||||
−1147.48 | − | 1987.50i | −0.229971 | − | 0.398321i | |||||
−4161.25 | − | 7207.50i | −0.829703 | − | 1.43709i | −0.898271 | − | 0.439441i | ||
0.0685685 | − | 0.997646i | ||||||||
523.079 | 0.103764 | |||||||||
246.000 | + | 426.084i | 0.0485514 | + | 0.0840936i | |||||
1618.50 | − | 2803.32i | 0.317816 | − | 0.550473i | |||||
692.820 | − | 1200.00i | 0.135359 | − | 0.234448i | |||||
81.0000 | 0.0157457 | |||||||||
0 | 0 | |||||||||
1220.00 | 0.234789 | |||||||||
720.533 | − | 1248.00i | 0.137976 | − | 0.238982i | |||||
1533.00 | − | 2655.23i | 0.292100 | − | 0.505932i | |||||
429.000 | + | 743.050i | 0.0813380 | + | 0.140882i | |||||
−114.315 | −0.0215672 | |||||||||
125.574 | + | 217.500i | 0.0235748 | + | 0.0408328i | |||||
2330.47 | + | 4036.50i | 0.435374 | + | 0.754089i | |||||
2220.49 | 0.412801 | 0.206401 | − | 0.978468i | ||||||
0.206401 | + | 0.978468i | ||||||||
480.000 | + | 831.384i | 0.0888004 | + | 0.153807i | |||||
182.000 | − | 315.233i | 0.0335069 | − | 0.0580356i | |||||
−233.827 | + | 405.000i | −0.0428402 | + | 0.0742015i | |||||
−4914.00 | −0.895972 | −0.447986 | − | 0.894041i | ||||||
−0.447986 | + | 0.894041i | ||||||||
0 | 0 | |||||||||
−518.000 | −0.0935434 | −0.0467717 | − | 0.998906i | ||||||
−0.0467717 | + | 0.998906i | ||||||||
1048.76 | − | 1816.50i | 0.188487 | − | 0.326468i | |||||
−276.000 | + | 478.046i | −0.0493677 | + | 0.0855074i | |||||
3190.00 | + | 5525.24i | 0.567885 | + | 0.983605i | |||||
3916.17 | 0.693861 | 0.346930 | − | 0.937891i | ||||||
0.346930 | + | 0.937891i | ||||||||
161.081 | + | 279.000i | 0.0284055 | + | 0.0491998i | |||||
976.877 | + | 1692.00i | 0.171456 | + | 0.296971i | |||||
−531.740 | −0.0928911 | |||||||||
1506.00 | + | 2608.47i | 0.261859 | + | 0.453553i | |||||
936.000 | − | 1621.20i | 0.161991 | − | 0.280577i | |||||
−6687.45 | + | 11583.0i | −1.15201 | + | 1.99534i | |||||
−2105.00 | −0.360940 | |||||||||
0 | 0 | |||||||||
−1740.00 | −0.295613 | |||||||||
−1551.92 | + | 2688.00i | −0.262450 | + | 0.454577i | |||||
3061.50 | − | 5302.67i | 0.515375 | − | 0.892656i | |||||
2088.00 | + | 3616.52i | 0.349894 | + | 0.606034i | |||||
83.1384 | 0.0138685 | |||||||||
3727.37 | + | 6456.00i | 0.618958 | + | 1.07207i | 0.989676 | + | 0.143321i | ||
−0.370719 | + | 0.928745i | ||||||||
−1974.54 | − | 3420.00i | −0.326406 | − | 0.565352i | |||||
3306.48 | 0.544127 | |||||||||
792.000 | + | 1371.78i | 0.129749 | + | 0.224733i | |||||
681.000 | − | 1179.53i | 0.111066 | − | 0.192371i | |||||
−13.8564 | + | 24.0000i | −0.00224979 | + | 0.00389675i | |||||
3575.00 | 0.577871 | 0.288936 | − | 0.957349i | ||||||
0.288936 | + | 0.957349i | ||||||||
0 | 0 | |||||||||
−1374.00 | −0.220134 | |||||||||
506.625 | − | 877.500i | 0.0808106 | − | 0.139968i | |||||
−1080.00 | + | 1870.61i | −0.171511 | + | 0.297066i | |||||
2277.00 | + | 3943.88i | 0.360018 | + | 0.623569i | |||||
−6845.06 | −1.07755 | |||||||||
1170.87 | + | 2028.00i | 0.183514 | + | 0.317856i | |||||
135.100 | + | 234.000i | 0.0210827 | + | 0.0365163i | |||||
4458.30 | 0.692716 | |||||||||
3483.00 | + | 6032.73i | 0.538839 | + | 0.933297i | 0.998967 | + | 0.0454442i | ||
−0.460128 | + | 0.887853i | ||||||||
−705.000 | + | 1221.10i | −0.108598 | + | 0.188097i | |||||
3325.54 | − | 5760.00i | 0.510063 | − | 0.883455i | −0.489869 | − | 0.871796i | ||
0.999932 | − | 0.0116588i | ||||||||
2928.00 | 0.447166 | |||||||||
0 | 0 | |||||||||
−2520.00 | −0.381581 | |||||||||
2815.45 | − | 4876.50i | 0.424508 | − | 0.735269i | −0.571867 | − | 0.820347i | ||
0.996374 | + | 0.0850777i | ||||||||
492.000 | − | 852.169i | 0.0738687 | − | 0.127944i | |||||
915.000 | + | 1584.83i | 0.136798 | + | 0.236940i | |||||
4884.38 | 0.727168 | |||||||||
1621.20 | + | 2808.00i | 0.240344 | + | 0.416289i | |||||
−3242.40 | − | 5616.00i | −0.478676 | − | 0.829092i | |||||
7129.12 | 1.04808 | 0.524040 | − | 0.851694i | ||||||
0.524040 | + | 0.851694i | ||||||||
−448.500 | − | 776.825i | −0.0656612 | − | 0.113729i | |||||
−3104.50 | + | 5377.15i | −0.452617 | + | 0.783956i | |||||
551.658 | − | 955.500i | 0.0800953 | − | 0.138729i | |||||
−2278.00 | −0.329377 | |||||||||
0 | 0 | |||||||||
795.000 | 0.114006 | |||||||||
251.147 | − | 435.000i | 0.0358680 | − | 0.0621252i | |||||
−1.00000 | + | 1.73205i | −0.000142233 | + | 0.000246355i | −0.866097 | − | 0.499877i | ||
0.865954 | + | 0.500123i | ||||||||
−39.0000 | − | 67.5500i | −0.00552450 | − | 0.00956871i | |||||
6254.44 | 0.882366 | |||||||||
215.640 | + | 373.500i | 0.0302989 | + | 0.0524793i | |||||
−644.323 | − | 1116.00i | −0.0901660 | − | 0.156172i | |||||
−1558.85 | −0.217264 | |||||||||
−1749.50 | − | 3030.22i | −0.242857 | − | 0.420641i | 0.718670 | − | 0.695351i | ||
−0.961527 | + | 0.274711i | ||||||||
−1404.00 | + | 2431.80i | −0.194115 | + | 0.336218i | |||||
−427.817 | + | 741.000i | −0.0589129 | + | 0.102040i | |||||
−6786.00 | −0.930748 | |||||||||
0 | 0 | |||||||||
2400.00 | 0.326568 | |||||||||
2759.16 | − | 4779.00i | 0.373953 | − | 0.647706i | −0.616216 | − | 0.787577i | ||
0.990170 | + | 0.139871i | ||||||||
495.000 | − | 857.365i | 0.0668236 | − | 0.115742i | |||||
286.000 | + | 495.367i | 0.0384573 | + | 0.0666100i | |||||
4499.87 | 0.602705 | |||||||||
3682.34 | + | 6378.00i | 0.491276 | + | 0.850915i | 0.999950 | − | 0.0100443i | ||
−0.508673 | + | 0.860960i | ||||||||
−923.183 | − | 1599.00i | −0.122685 | − | 0.212496i | |||||
−332.554 | −0.0440221 | |||||||||
967.500 | + | 1675.76i | 0.127576 | + | 0.220969i | |||||
−1196.00 | + | 2071.53i | −0.157096 | + | 0.272098i | |||||
502.295 | − | 870.000i | 0.0657220 | − | 0.113834i | |||||
1209.00 | 0.157580 | 0.0787901 | − | 0.996891i | ||||||
0.0787901 | + | 0.996891i | ||||||||
0 | 0 | |||||||||
−9126.00 | −1.18036 | |||||||||
1700.01 | − | 2944.50i | 0.219039 | − | 0.379387i | |||||
1974.00 | − | 3419.07i | 0.253372 | − | 0.438853i | |||||
−1776.00 | − | 3076.12i | −0.227090 | − | 0.393332i | |||||
−2210.10 | −0.281524 | |||||||||
−796.743 | − | 1380.00i | −0.101106 | − | 0.175120i | |||||
5847.40 | + | 10128.0i | 0.739226 | + | 1.28038i | 0.952844 | + | 0.303460i | ||
−0.213618 | + | 0.976917i | ||||||||
−4368.23 | −0.550150 | |||||||||
1584.00 | + | 2743.57i | 0.198745 | + | 0.344236i | |||||
61.0000 | − | 105.655i | 0.00762500 | − | 0.0132069i | |||||
1490.43 | − | 2581.50i | 0.185607 | − | 0.321481i | −0.758174 | − | 0.652053i | ||
0.943781 | + | 0.330571i | ||||||||
−2724.00 | −0.337962 | |||||||||
0 | 0 | |||||||||
2145.00 | 0.264153 | |||||||||
364.597 | − | 631.500i | 0.0447332 | − | 0.0774802i | |||||
−1692.00 | + | 2930.63i | −0.206829 | + | 0.358238i | |||||
996.000 | + | 1725.12i | 0.121302 | + | 0.210101i | |||||
−5268.90 | −0.639337 | |||||||||
−21.6506 | − | 37.5000i | −0.00261749 | − | 0.00453363i | 0.864714 | − | 0.502265i | ||
−0.867331 | + | 0.497731i | ||||||||
407.898 | + | 706.500i | 0.0491333 | + | 0.0851013i | |||||
1693.95 | 0.203300 | |||||||||
−455.000 | − | 788.083i | −0.0544084 | − | 0.0942380i | |||||
−1968.00 | + | 3408.68i | −0.234477 | + | 0.406126i | |||||
−1553.65 | + | 2691.00i | −0.184439 | + | 0.319458i | |||||
1368.00 | 0.161813 | |||||||||
0 | 0 | |||||||||
472.000 | 0.0554291 | |||||||||
−1371.78 | + | 2376.00i | −0.160517 | + | 0.278024i | |||||
4731.00 | − | 8194.33i | 0.551610 | − | 0.955416i | −0.446549 | − | 0.894759i | ||
0.998159 | − | 0.0606569i | ||||||||
−120.000 | − | 207.846i | −0.0139414 | − | 0.0241473i | |||||
7068.50 | 0.818284 | 0.409142 | − | 0.912471i | ||||||
0.409142 | + | 0.912471i | ||||||||
902.398 | + | 1563.00i | 0.104095 | + | 0.180298i | |||||
−3465.83 | − | 6003.00i | −0.398380 | − | 0.690014i | |||||
2094.05 | 0.239849 | |||||||||
−7137.00 | − | 12361.6i | −0.814577 | − | 1.41089i | |||||
1830.00 | − | 3169.65i | 0.208131 | − | 0.360493i | |||||
−1004.59 | + | 1740.00i | −0.113854 | + | 0.197200i | |||||
7530.00 | 0.850412 | |||||||||
0 | 0 | |||||||||
−312.000 | −0.0349906 | |||||||||
−4964.06 | + | 8598.00i | −0.554780 | + | 0.960907i | 0.443140 | + | 0.896452i | ||
−0.997921 | + | 0.0644552i | ||||||||
50.0000 | − | 86.6025i | 0.00556858 | − | 0.00964506i | |||||
−3308.50 | − | 5730.49i | −0.367197 | − | 0.636004i | 0.621929 | − | 0.783074i | ||
−0.989126 | + | 0.147070i | ||||||||
−3741.23 | −0.413790 | |||||||||
−244.219 | − | 423.000i | −0.0269182 | − | 0.0466237i | |||||
3879.79 | + | 6720.00i | 0.426166 | + | 0.738141i | |||||
−8916.60 | −0.976061 | |||||||||
−795.000 | − | 1376.98i | −0.0867273 | − | 0.150216i | |||||
6994.00 | − | 12114.0i | 0.760377 | − | 1.31701i | −0.182280 | − | 0.983247i | ||
0.942656 | − | 0.333765i | ||||||||
270.200 | − | 468.000i | 0.0292756 | − | 0.0507069i | |||||
3473.00 | 0.375013 | |||||||||
0 | 0 | |||||||||
2004.00 | 0.214928 | 0.107464 | − | 0.994209i | ||||||
0.107464 | + | 0.994209i | ||||||||
−718.801 | + | 1245.00i | −0.0768306 | + | 0.133075i | |||||
−846.000 | + | 1465.31i | −0.0901219 | + | 0.156096i | |||||
2085.00 | + | 3611.33i | 0.221362 | + | 0.383411i | |||||
−93.5307 | −0.00989676 | |||||||||
−2126.96 | − | 3684.00i | −0.224307 | − | 0.388510i | |||||
4541.44 | + | 7866.00i | 0.477336 | + | 0.826769i | 0.999663 | − | 0.0259758i | ||
−0.522327 | + | 0.852745i | ||||||||
−4860.13 | −0.509131 | |||||||||
1884.00 | + | 3263.18i | 0.196705 | + | 0.340704i | |||||
−1717.50 | + | 2974.80i | −0.178727 | + | 0.309563i | |||||
−1770.16 | + | 3066.00i | −0.183596 | + | 0.317998i | |||||
−4170.00 | −0.431074 | |||||||||
0 | 0 | |||||||||
−5148.00 | −0.528678 | |||||||||
1261.80 | − | 2185.50i | 0.129156 | − | 0.223705i | −0.794194 | − | 0.607665i | ||
0.923350 | + | 0.383959i | ||||||||
−2172.00 | + | 3762.01i | −0.221596 | + | 0.383815i | |||||
−5850.00 | − | 10132.5i | −0.594890 | − | 1.03038i | |||||
675.500 | 0.0684681 | |||||||||
−9793.88 | − | 16963.5i | −0.989472 | − | 1.71382i | −0.620072 | − | 0.784545i | ||
−0.369400 | − | 0.929270i | ||||||||
332.554 | + | 576.000i | 0.0334887 | + | 0.0580042i | |||||
−8632.54 | −0.866497 | −0.433249 | − | 0.901274i | ||||||
−0.433249 | + | 0.901274i | ||||||||
70.5000 | + | 122.110i | 0.00705362 | + | 0.0122172i | |||||
270.000 | − | 467.654i | 0.0269268 | − | 0.0466385i | |||||
5066.25 | − | 8775.00i | 0.503625 | − | 0.872305i | |||||
−5460.00 | −0.541025 | −0.270512 | − | 0.962716i | ||||||
−0.270512 | + | 0.962716i | ||||||||
0 | 0 | |||||||||
10896.0 | 1.07277 | |||||||||
452.065 | − | 783.000i | 0.0443664 | − | 0.0768449i | |||||
−1211.00 | + | 2097.51i | −0.118471 | + | 0.205198i | |||||
−3198.00 | − | 5539.10i | −0.311864 | − | 0.540165i | |||||
−1441.07 | −0.140085 | |||||||||
2210.10 | + | 3828.00i | 0.214163 | + | 0.370941i | |||||
−6973.24 | − | 12078.0i | −0.673587 | − | 1.16669i | |||||
8106.00 | 0.780542 | |||||||||
1069.50 | + | 1852.43i | 0.102660 | + | 0.177813i | |||||
−4662.00 | + | 8074.82i | −0.446098 | + | 0.772665i | |||||
1276.52 | − | 2211.00i | 0.121766 | − | 0.210904i | −0.798698 | − | 0.601732i | ||
0.920464 | + | 0.390827i | ||||||||
630.000 | 0.0599072 | |||||||||
0 | 0 | |||||||||
8517.00 | 0.804852 | |||||||||
−1080.80 | + | 1872.00i | −0.101818 | + | 0.176354i | |||||
−2847.50 | + | 4932.01i | −0.267421 | + | 0.463187i | |||||
174.000 | + | 301.377i | 0.0162906 | + | 0.0282161i | |||||
−6134.92 | −0.572605 | |||||||||
−5414.39 | − | 9378.00i | −0.503798 | − | 0.872603i | −0.999990 | − | 0.00439074i | ||
0.496193 | − | 0.868212i | ||||||||
−1632.46 | − | 2827.50i | −0.151430 | − | 0.262285i | |||||
2009.18 | 0.185804 | |||||||||
226.500 | + | 392.310i | 0.0208821 | + | 0.0361689i | |||||
5694.00 | − | 9862.30i | 0.523354 | − | 0.906475i | −0.476277 | − | 0.879295i | ||
0.999631 | − | 0.0271797i | ||||||||
−1359.66 | + | 2355.00i | −0.124590 | + | 0.215796i | |||||
16497.0 | 1.50707 | |||||||||
0 | 0 | |||||||||
552.000 | 0.0501223 | |||||||||
−77.9423 | + | 135.000i | −0.00705587 | + | 0.0122211i | |||||
−7320.00 | + | 12678.6i | −0.660658 | + | 1.14429i | |||||
−1368.00 | − | 2369.45i | −0.123095 | − | 0.213208i | |||||
−17677.3 | −1.58586 | −0.792931 | − | 0.609311i | ||||||
−0.792931 | + | 0.609311i | ||||||||
1069.54 | + | 1852.50i | 0.0956627 | + | 0.165693i | |||||
−914.523 | − | 1584.00i | −0.0815526 | − | 0.141253i | |||||
−6890.10 | −0.612590 | |||||||||
−1938.00 | − | 3356.71i | −0.171792 | − | 0.297552i | 0.767255 | − | 0.641343i | ||
−0.939046 | + | 0.343791i | ||||||||
3588.00 | − | 6214.60i | 0.317108 | − | 0.549246i | |||||
−371.525 | + | 643.500i | −0.0327379 | + | 0.0567037i | |||||
−1872.00 | −0.164467 | |||||||||
0 | 0 | |||||||||
1430.00 | 0.124894 | |||||||||
−8532.95 | + | 14779.5i | −0.743058 | + | 1.28701i | 0.208039 | + | 0.978120i | ||
−0.951097 | + | 0.308893i | ||||||||
351.000 | − | 607.950i | 0.0304756 | − | 0.0527852i | |||||
3180.00 | + | 5507.92i | 0.275293 | + | 0.476822i | |||||
−361.999 | −0.0312465 | |||||||||
−5715.77 | − | 9900.00i | −0.491925 | − | 0.852038i | |||||
−1790.07 | − | 3100.50i | −0.153612 | − | 0.266065i | |||||
315.233 | 0.0269725 | |||||||||
−520.000 | − | 900.666i | −0.0443638 | − | 0.0768404i | |||||
2088.00 | − | 3616.52i | 0.177621 | − | 0.307649i | |||||
−1725.12 | + | 2988.00i | −0.146327 | + | 0.253446i | |||||
−5148.00 | −0.435399 | |||||||||
0 | 0 | |||||||||
2121.00 | 0.178355 | 0.0891773 | − | 0.996016i | ||||||
0.0891773 | + | 0.996016i | ||||||||
2808.52 | − | 4864.50i | 0.235490 | − | 0.407880i | |||||
5732.00 | − | 9928.12i | 0.479241 | − | 0.830069i | −0.520476 | − | 0.853876i | ||
0.999717 | + | 0.0238072i | ||||||||
−4935.00 | − | 8547.67i | −0.411425 | − | 0.712608i | |||||
−3380.96 | −0.281062 | |||||||||
−1777.08 | − | 3078.00i | −0.147309 | − | 0.255147i | |||||
9119.25 | + | 15795.0i | 0.753777 | + | 1.30558i | |||||
27.7128 | 0.00228418 | |||||||||
3041.50 | + | 5268.03i | 0.249979 | + | 0.432977i | |||||
−139.500 | + | 241.621i | −0.0114330 | + | 0.0198025i | |||||
3266.65 | − | 5658.00i | 0.266969 | − | 0.462404i | |||||
7920.00 | 0.645443 | |||||||||
0 | 0 | |||||||||
3384.00 | 0.274232 | |||||||||
−1304.23 | + | 2259.00i | −0.105396 | + | 0.182552i | |||||
−8853.00 | + | 15333.8i | −0.713417 | + | 1.23567i | |||||
3744.00 | + | 6484.80i | 0.300867 | + | 0.521117i | |||||
−5767.73 | −0.462202 | |||||||||
1046.16 | + | 1812.00i | 0.0836016 | + | 0.144802i | |||||
433.013 | + | 750.000i | 0.0345072 | + | 0.0597683i | |||||
4764.87 | 0.378665 | 0.189333 | − | 0.981913i | ||||||
0.189333 | + | 0.981913i | ||||||||
2430.00 | + | 4208.88i | 0.192578 | + | 0.333555i | |||||
−637.000 | + | 1103.32i | −0.0503431 | + | 0.0871968i | |||||
−10639.1 | + | 18427.5i | −0.838508 | + | 1.45234i | |||||
−2688.00 | −0.211268 | |||||||||
0 | 0 | |||||||||
6554.00 | 0.512301 | 0.256151 | − | 0.966637i | ||||||
0.256151 | + | 0.966637i | ||||||||
2117.43 | − | 3667.50i | 0.165059 | − | 0.285890i | |||||
1667.50 | − | 2888.19i | 0.129631 | − | 0.224527i | |||||
−1464.00 | − | 2535.72i | −0.113500 | − | 0.196588i | |||||
16118.5 | 1.24622 | |||||||||
−1756.30 | − | 3042.00i | −0.135422 | − | 0.234558i | |||||
−8840.39 | − | 15312.0i | −0.679804 | − | 1.17745i | |||||
652.983 | 0.0500769 | |||||||||
−249.000 | − | 431.281i | −0.0190441 | − | 0.0329853i | |||||
590.000 | − | 1021.91i | 0.0450028 | − | 0.0779472i | |||||
9056.03 | − | 15685.5i | 0.688898 | − | 1.19321i | −0.283297 | − | 0.959032i | ||
0.972195 | − | 0.234174i | ||||||||
6210.00 | 0.471130 | |||||||||
0 | 0 | |||||||||
−24.0000 | −0.00181104 | |||||||||
1621.20 | − | 2808.00i | 0.122009 | − | 0.211326i | |||||
31.5000 | − | 54.5596i | 0.00236432 | − | 0.00409512i | |||||
−6084.00 | − | 10537.8i | −0.455435 | − | 0.788837i | 0.543278 | − | 0.839553i | ||
−0.998713 | + | 0.0507160i | ||||||||
3013.77 | 0.225005 | |||||||||
−594.959 | − | 1030.50i | −0.0443011 | − | 0.0767318i | |||||
6169.56 | + | 10686.0i | 0.458173 | + | 0.793580i | |||||
5833.55 | 0.432074 | |||||||||
−11895.0 | − | 20602.7i | −0.878703 | − | 1.52196i | |||||
−3861.00 | + | 6687.45i | −0.284467 | + | 0.492711i | −0.972480 | − | 0.232988i | ||
0.688013 | + | 0.725698i | ||||||||
342.946 | − | 594.000i | 0.0252008 | − | 0.0436490i | |||||
−11440.0 | −0.838440 | −0.419220 | − | 0.907885i | ||||||
−0.419220 | + | 0.907885i | ||||||||
0 | 0 | |||||||||
−5196.00 | −0.378824 | |||||||||
−3263.18 | + | 5652.00i | −0.237287 | + | 0.410993i | |||||
4758.00 | − | 8241.10i | 0.345082 | − | 0.597700i | |||||
3530.50 | + | 6115.01i | 0.255389 | + | 0.442347i | |||||
15444.7 | 1.11433 | 0.557167 | − | 0.830400i | ||||||
0.557167 | + | 0.830400i | ||||||||
7600.24 | + | 13164.0i | 0.546935 | + | 0.947319i | |||||
−1117.17 | − | 1935.00i | −0.0801867 | − | 0.138887i | |||||
−1221.10 | −0.0874194 | |||||||||
5472.00 | + | 9477.78i | 0.390735 | + | 0.676772i | |||||
348.000 | − | 602.754i | 0.0247853 | − | 0.0429295i | |||||
−644.323 | + | 1116.00i | −0.0457721 | + | 0.0792796i | |||||
−10335.0 | −0.732304 | |||||||||
0 | 0 | |||||||||
−14415.0 | −1.01617 | |||||||||
−7035.59 | + | 12186.0i | −0.494702 | + | 0.856848i | −0.999981 | − | 0.00610719i | ||
0.505280 | + | 0.862956i | ||||||||
−755.000 | + | 1307.70i | −0.0529518 | + | 0.0917153i | |||||
8910.00 | + | 15432.6i | 0.623311 | + | 1.07961i | |||||
852.169 | 0.0594631 | |||||||||
2050.75 | + | 3552.00i | 0.142735 | + | 0.247225i | |||||
71.8801 | + | 124.500i | 0.00499029 | + | 0.00864344i | |||||
−26938.6 | −1.86549 | −0.932745 | − | 0.360538i | ||||||
−0.932745 | + | 0.360538i | ||||||||
−1200.00 | − | 2078.46i | −0.0828899 | − | 0.143570i | |||||
−1404.00 | + | 2431.80i | −0.0967368 | + | 0.167553i | |||||
−116.913 | + | 202.500i | −0.00803517 | + | 0.0139173i | |||||
5044.00 | 0.345791 | |||||||||
0 | 0 | |||||||||
−10554.0 | −0.719908 | −0.359954 | − | 0.932970i | ||||||
−0.359954 | + | 0.932970i | ||||||||
2747.03 | − | 4758.00i | 0.186912 | − | 0.323741i | |||||
7415.50 | − | 12844.0i | 0.503302 | − | 0.871745i | −0.496691 | − | 0.867928i | ||
0.999993 | − | 0.00381713i | ||||||||
−1248.00 | − | 2161.60i | −0.0844928 | − | 0.146346i | |||||
−18086.1 | −1.22143 | |||||||||
4425.39 | + | 7665.00i | 0.298123 | + | 0.516365i | |||||
−986.403 | − | 1708.50i | −0.0662859 | − | 0.114811i | |||||
1486.10 | 0.0996183 | |||||||||
3977.00 | + | 6888.37i | 0.265933 | + | 0.460610i | 0.967808 | − | 0.251691i | ||
−0.701874 | + | 0.712301i | ||||||||
−10395.0 | + | 18004.7i | −0.693377 | + | 1.20096i | |||||
1953.75 | − | 3384.00i | 0.130000 | − | 0.225167i | |||||
435.000 | 0.0288732 | |||||||||
0 | 0 | |||||||||
−13455.0 | −0.888703 | |||||||||
12610.2 | − | 21841.5i | 0.830866 | − | 1.43910i | −0.0664859 | − | 0.997787i | ||
0.897352 | − | 0.441315i | ||||||||
1923.00 | − | 3330.73i | 0.126394 | − | 0.218921i | |||||
−471.000 | − | 815.796i | −0.0308822 | − | 0.0534895i | |||||
4323.20 | 0.282771 | |||||||||
8692.30 | + | 15055.5i | 0.567162 | + | 0.982353i | 0.996845 | + | 0.0793731i | ||
−0.429683 | + | 0.902980i | ||||||||
−315.233 | − | 546.000i | −0.0205187 | − | 0.0355394i | |||||
8209.92 | 0.533093 | 0.266547 | − | 0.963822i | ||||||
0.266547 | + | 0.963822i | ||||||||
−675.000 | − | 1169.13i | −0.0437236 | − | 0.0757316i | |||||
3900.00 | − | 6755.00i | 0.252015 | − | 0.436504i | |||||
−4255.65 | + | 7371.00i | −0.274334 | + | 0.475161i | |||||
−13536.0 | −0.870479 | |||||||||
0 | 0 | |||||||||
14509.0 | 0.928576 | |||||||||
−448.601 | + | 777.000i | −0.0286417 | + | 0.0496089i | |||||
1584.00 | − | 2743.57i | 0.100891 | − | 0.174749i | |||||
3027.50 | + | 5243.78i | 0.192373 | + | 0.333200i | |||||
16819.9 | 1.06622 | |||||||||
478.046 | + | 828.000i | 0.0302314 | + | 0.0523624i | |||||
6432.84 | + | 11142.0i | 0.405843 | + | 0.702941i | 0.994419 | − | 0.105501i | ||
−0.588576 | + | 0.808442i | ||||||||
28731.3 | 1.80834 | |||||||||
−1042.00 | − | 1804.80i | −0.0654278 | − | 0.113324i | |||||
3391.50 | − | 5874.25i | 0.212451 | − | 0.367975i | |||||
−247.683 | + | 429.000i | −0.0154788 | + | 0.0268100i | |||||
−930.000 | −0.0579825 | |||||||||
0 | 0 | |||||||||
3384.00 | 0.209990 | |||||||||
12150.3 | − | 21045.0i | 0.752206 | − | 1.30286i | |||||
799.500 | − | 1384.77i | 0.0493797 | − | 0.0855282i | |||||
3100.50 | + | 5370.22i | 0.191049 | + | 0.330907i | 0.945598 | − | 0.325337i | ||
−0.754549 | + | 0.656244i | ||||||||
5216.94 | 0.320710 | |||||||||
8410.84 | + | 14568.0i | 0.515849 | + | 0.893477i | 0.999831 | + | 0.0183989i | ||
−0.483981 | + | 0.875078i | ||||||||
2702.00 | + | 4680.00i | 0.165332 | + | 0.286363i | |||||
360.267 | 0.0219930 | |||||||||
11583.0 | + | 20062.3i | 0.705460 | + | 1.22189i | |||||
−6747.00 | + | 11686.1i | −0.409972 | + | 0.710092i | −0.994886 | − | 0.101003i | ||
0.584914 | + | 0.811095i | ||||||||
−4739.76 | + | 8209.50i | −0.287338 | + | 0.497685i | |||||
3936.00 | 0.238061 | |||||||||
0 | 0 | |||||||||
4320.00 | 0.260083 | |||||||||
2511.47 | − | 4350.00i | 0.150854 | − | 0.261287i | |||||
5667.00 | − | 9815.53i | 0.339612 | − | 0.588226i | −0.644747 | − | 0.764396i | ||
0.984360 | + | 0.176170i | ||||||||
2688.00 | + | 4655.75i | 0.160717 | + | 0.278371i | |||||
3419.07 | 0.203960 | |||||||||
135.966 | + | 235.500i | 0.00809235 | + | 0.0140164i | |||||
−5278.42 | − | 9142.50i | −0.313441 | − | 0.542896i | |||||
7233.04 | 0.428531 | |||||||||
−6618.00 | − | 11462.7i | −0.391200 | − | 0.677578i | 0.601408 | − | 0.798942i | ||
−0.992608 | + | 0.121364i | ||||||||
−120.000 | + | 207.846i | −0.00707726 | + | 0.0122582i | |||||
5926.21 | − | 10264.5i | 0.348718 | − | 0.603998i | −0.637304 | − | 0.770613i | ||
0.986022 | + | 0.166615i | ||||||||
12912.0 | 0.758065 | |||||||||
0 | 0 | |||||||||
−17784.0 | −1.03939 | |||||||||
−1371.78 | + | 2376.00i | −0.0799932 | + | 0.138552i | |||||
2863.50 | − | 4959.73i | 0.166604 | − | 0.288567i | |||||
5499.00 | + | 9524.55i | 0.319224 | + | 0.552911i | |||||
−4572.61 | −0.264850 | |||||||||
−2407.55 | − | 4170.00i | −0.139135 | − | 0.240989i | |||||
−1179.53 | − | 2043.00i | −0.0680136 | − | 0.117803i | |||||
2009.18 | 0.115594 | |||||||||
2520.00 | + | 4364.77i | 0.144659 | + | 0.250557i | |||||
4010.50 | − | 6946.39i | 0.229708 | − | 0.397866i | −0.728014 | − | 0.685563i | ||
0.957722 | + | 0.287697i | ||||||||
3096.04 | − | 5362.50i | 0.176936 | − | 0.306463i | |||||
12200.0 | 0.695671 | |||||||||
0 | 0 | |||||||||
−21630.0 | −1.22793 | −0.613965 | − | 0.789333i | ||||||
−0.613965 | + | 0.789333i | ||||||||
−1189.92 | + | 2061.00i | −0.0674020 | + | 0.116744i | |||||
−1392.00 | + | 2411.01i | −0.0786746 | + | 0.136268i | |||||
−2281.50 | − | 3951.67i | −0.128664 | − | 0.222853i | |||||
4815.10 | 0.270947 | |||||||||
1870.61 | + | 3240.00i | 0.105029 | + | 0.181915i | |||||
−13269.2 | − | 22983.0i | −0.743387 | − | 1.28758i | −0.950945 | − | 0.309361i | ||
0.207557 | − | 0.978223i | ||||||||
−13146.3 | −0.734883 | |||||||||
733.500 | + | 1270.46i | 0.0409133 | + | 0.0708639i | |||||
−5928.00 | + | 10267.6i | −0.329930 | + | 0.571456i | |||||
2508.01 | − | 4344.00i | 0.139282 | − | 0.241243i | |||||
−104.000 | −0.00576303 | |||||||||
0 | 0 | |||||||||
468.000 | 0.0258210 | |||||||||
−415.692 | + | 720.000i | −0.0228852 | + | 0.0396383i | −0.877241 | − | 0.480050i | ||
0.854356 | + | 0.519688i | ||||||||
−6435.00 | + | 11145.7i | −0.353500 | + | 0.612280i | |||||
2208.00 | + | 3824.37i | 0.121032 | + | 0.209633i | |||||
12065.5 | 0.659941 | |||||||||
204.382 | + | 354.000i | 0.0111549 | + | 0.0193208i | |||||
3174.85 | + | 5499.00i | 0.172906 | + | 0.299481i | |||||
31816.0 | 1.72901 | |||||||||
−5760.00 | − | 9976.61i | −0.312348 | − | 0.541003i | |||||
−5850.00 | + | 10132.5i | −0.316548 | + | 0.548278i | |||||
−4226.20 | + | 7320.00i | −0.228194 | + | 0.395243i | |||||
−30186.0 | −1.62640 | −0.813202 | − | 0.581981i | ||||||
−0.813202 | + | 0.581981i | ||||||||
0 | 0 | |||||||||
16434.0 | 0.881679 | |||||||||
−2126.96 | + | 3684.00i | −0.113868 | + | 0.197224i | |||||
−522.000 | + | 904.131i | −0.0278860 | + | 0.0483000i | |||||
−4876.50 | − | 8446.35i | −0.259957 | − | 0.450258i | |||||
−5944.40 | −0.316212 | |||||||||
1420.28 | + | 2460.00i | 0.0753919 | + | 0.130583i | |||||
−5940.07 | − | 10288.5i | −0.314646 | − | 0.544983i | 0.664716 | − | 0.747096i | ||
−0.979362 | + | 0.202113i | ||||||||
3169.65 | 0.167542 | |||||||||
14674.0 | + | 25416.1i | 0.774006 | + | 1.34062i | |||||
10998.0 | − | 19049.1i | 0.578887 | − | 1.00266i | |||||
−6079.50 | + | 10530.0i | −0.319325 | + | 0.553088i | |||||
5616.00 | 0.294361 | |||||||||
0 | 0 | |||||||||
18720.0 | 0.977094 | |||||||||
5383.21 | − | 9324.00i | 0.280390 | − | 0.485650i | |||||
6174.00 | − | 10693.7i | 0.320908 | − | 0.555828i | |||||
9204.00 | + | 15941.8i | 0.477401 | + | 0.826883i | 0.999665 | − | 0.0259014i | ||
−0.522264 | + | 0.852784i | ||||||||
39.8372 | 0.00206201 | |||||||||
1260.93 | + | 2184.00i | 0.0651312 | + | 0.112811i | |||||
5377.15 | + | 9313.50i | 0.277170 | + | 0.480073i | |||||
−9834.58 | −0.505881 | |||||||||
1592.50 | + | 2758.29i | 0.0817470 | + | 0.141590i | |||||
−8601.00 | + | 14897.4i | −0.440597 | + | 0.763137i | |||||
−1972.81 | + | 3417.00i | −0.100851 | + | 0.174679i | |||||
−21112.0 | −1.07703 | −0.538515 | − | 0.842616i | ||||||
−0.538515 | + | 0.842616i | ||||||||
0 | 0 | |||||||||
−4283.00 | −0.217599 | |||||||||
688.490 | − | 1192.50i | 0.0349071 | − | 0.0604608i | |||||
−6084.00 | + | 10537.8i | −0.307832 | + | 0.533180i | |||||
725.000 | + | 1255.74i | 0.0366076 | + | 0.0634062i | |||||
−23959.5 | −1.20732 | −0.603658 | − | 0.797243i | ||||||
−0.603658 | + | 0.797243i | ||||||||
1.73205 | + | 3.00000i | 8.70997e−5 | + | 0.000150861i | |||||
−261.540 | − | 453.000i | −0.0131252 | − | 0.0227335i | |||||
−14185.5 | −0.710441 | |||||||||
−5448.00 | − | 9436.21i | −0.272293 | − | 0.471625i | |||||
5416.50 | − | 9381.65i | 0.270168 | − | 0.467945i | |||||
−1583.09 | + | 2742.00i | −0.0788025 | + | 0.136490i | −0.902734 | − | 0.430200i | ||
0.823931 | + | 0.566690i | ||||||||
−1245.00 | −0.0618474 | |||||||||
0 | 0 | |||||||||
−2232.00 | −0.110430 | |||||||||
−15051.5 | + | 26070.0i | −0.743185 | + | 1.28723i | 0.207852 | + | 0.978160i | ||
−0.951038 | + | 0.309075i | ||||||||
−3510.00 | + | 6079.50i | −0.172961 | + | 0.299577i | |||||
−40.5000 | − | 70.1481i | −0.00199168 | − | 0.00344970i | |||||
−6060.45 | −0.297438 | |||||||||
−9082.87 | − | 15732.0i | −0.444880 | − | 0.770554i | |||||
−4053.00 | − | 7020.00i | −0.198118 | − | 0.343151i | |||||
−20867.7 | −1.01801 | |||||||||
741.000 | + | 1283.45i | 0.0360767 | + | 0.0624866i | |||||
14248.0 | − | 24678.3i | 0.692299 | − | 1.19910i | −0.278783 | − | 0.960354i | ||
0.971083 | − | 0.238744i | ||||||||
150.688 | − | 261.000i | 0.00730724 | − | 0.0126565i | |||||
7956.00 | 0.385037 | |||||||||
0 | 0 | |||||||||
−3066.00 | −0.147792 | |||||||||
−3464.10 | + | 6000.00i | −0.166651 | + | 0.288648i | |||||
−8711.00 | + | 15087.9i | −0.418239 | + | 0.724411i | −0.995762 | − | 0.0919633i | ||
0.577524 | + | 0.816374i | ||||||||
−4779.00 | − | 8277.47i | −0.228999 | − | 0.396638i | |||||
2161.60 | 0.103374 | |||||||||
−2229.15 | − | 3861.00i | −0.106394 | − | 0.184281i | |||||
20663.4 | + | 35790.0i | 0.984292 | + | 1.70484i | 0.645040 | + | 0.764149i | ||
0.339252 | + | 0.940695i | ||||||||
990.733 | 0.0471004 | |||||||||
−10752.0 | − | 18623.0i | −0.510155 | − | 0.883615i | |||||
−6495.00 | + | 11249.7i | −0.307567 | + | 0.532721i | |||||
2330.47 | − | 4036.50i | 0.110142 | − | 0.190771i | |||||
12756.0 | 0.601688 | |||||||||
0 | 0 | |||||||||
−8110.00 | −0.381047 | |||||||||
−7035.59 | + | 12186.0i | −0.329922 | + | 0.571441i | −0.982496 | − | 0.186283i | ||
0.652574 | + | 0.757725i | ||||||||
−288.000 | + | 498.831i | −0.0134790 | + | 0.0233462i | |||||
2067.00 | + | 3580.15i | 0.0965515 | + | 0.167232i | |||||
−5585.86 | −0.260414 | |||||||||
−100.459 | − | 174.000i | −0.00467433 | − | 0.00809618i | 0.863679 | − | 0.504043i | ||
−0.868353 | + | 0.495946i | ||||||||
2071.53 | + | 3588.00i | 0.0962012 | + | 0.166625i | |||||
−19017.9 | −0.881476 | |||||||||
−2262.00 | − | 3917.90i | −0.104641 | − | 0.181243i | |||||
1992.00 | − | 3450.25i | 0.0919725 | − | 0.159301i | |||||
1047.02 | − | 1813.50i | 0.0482489 | − | 0.0835696i | |||||
31086.0 | 1.42975 | |||||||||
0 | 0 | |||||||||
14640.0 | 0.670756 | |||||||||
−7903.35 | + | 13689.0i | −0.361411 | + | 0.625982i | |||||
−7050.00 | + | 12211.0i | −0.321771 | + | 0.557323i | |||||
75.5000 | + | 130.770i | 0.00343932 | + | 0.00595708i | |||||
−2097.51 | −0.0953675 | |||||||||
−3419.07 | − | 5922.00i | −0.155158 | − | 0.268741i | |||||
−3451.98 | − | 5979.00i | −0.156353 | − | 0.270811i | 0.777198 | − | 0.629256i | ||
−0.933551 | + | 0.358445i | ||||||||
10253.7 | 0.463546 | |||||||||
2052.00 | + | 3554.17i | 0.0925895 | + | 0.160370i | |||||
−1914.00 | + | 3315.15i | −0.0861988 | + | 0.149301i | |||||
4759.68 | − | 8244.00i | 0.213950 | − | 0.370573i | |||||
−7176.00 | −0.321955 | |||||||||
0 | 0 | |||||||||
20256.0 | 0.905363 | |||||||||
161.081 | − | 279.000i | 0.00718609 | − | 0.0124467i | |||||
6305.00 | − | 10920.6i | 0.280747 | − | 0.486268i | |||||
−15639.0 | − | 27087.5i | −0.695059 | − | 1.20388i | −0.970161 | − | 0.242462i | ||
0.275102 | − | 0.961415i | ||||||||
5487.14 | 0.243412 | |||||||||
−17630.5 | − | 30537.0i | −0.780631 | − | 1.35209i | |||||
−11093.8 | − | 19215.0i | −0.490281 | − | 0.849191i | |||||
22468.2 | 0.991103 | |||||||||
−2581.50 | − | 4471.29i | −0.113661 | − | 0.196866i | |||||
3180.00 | − | 5507.92i | 0.139751 | − | 0.242055i | |||||
3931.76 | − | 6810.00i | 0.172466 | − | 0.298719i | |||||
−1872.00 | −0.0819619 | |||||||||
0 | 0 | |||||||||
6660.00 | 0.290512 | |||||||||
4829.82 | − | 8365.50i | 0.210288 | − | 0.364229i | |||||
−4024.50 | + | 6970.64i | −0.174900 | + | 0.302935i | −0.940127 | − | 0.340826i | ||
0.765227 | + | 0.643761i | ||||||||
−631.500 | − | 1093.79i | −0.0273934 | − | 0.0474467i | |||||
14026.1 | 0.607305 | 0.303653 | − | 0.952783i | ||||||
0.303653 | + | 0.952783i | ||||||||
−4884.38 | − | 8460.00i | −0.211094 | − | 0.365625i | |||||
−2805.92 | − | 4860.00i | −0.121043 | − | 0.209653i | |||||
3450.25 | 0.148564 | |||||||||
870.000 | + | 1506.88i | 0.0373924 | + | 0.0647655i | |||||
117.000 | − | 202.650i | 0.00501939 | − | 0.00869383i | |||||
−5944.40 | + | 10296.0i | −0.254551 | + | 0.440895i | |||||
−75.0000 | −0.00320576 | |||||||||
0 | 0 | |||||||||
−2355.00 | −0.100293 | |||||||||
−4018.36 | + | 6960.00i | −0.170818 | + | 0.295866i | −0.938706 | − | 0.344718i | ||
0.767888 | + | 0.640584i | ||||||||
1467.00 | − | 2540.92i | 0.0622476 | − | 0.107816i | |||||
−20150.0 | − | 34900.8i | −0.853445 | − | 1.47821i | −0.878081 | − | 0.478513i | ||
0.0246361 | − | 0.999696i | ||||||||
−4098.03 | −0.173255 | |||||||||
1690.48 | + | 2928.00i | 0.0713394 | + | 0.123563i | |||||
3408.68 | + | 5904.00i | 0.143587 | + | 0.248700i | |||||
−39525.4 | −1.66195 | −0.830975 | − | 0.556310i | ||||||
−0.830975 | + | 0.556310i | ||||||||
−4485.00 | − | 7768.25i | −0.188242 | − | 0.326045i | |||||
−6155.50 | + | 10661.6i | −0.257888 | + | 0.446676i | −0.965676 | − | 0.259750i | ||
0.707788 | + | 0.706425i | ||||||||
1184.72 | − | 2052.00i | 0.0495450 | − | 0.0858144i | |||||
−754.000 | −0.0314753 | |||||||||
0 | 0 | |||||||||
17667.0 | 0.734844 | |||||||||
408.764 | − | 708.000i | 0.0169716 | − | 0.0293957i | |||||
792.000 | − | 1371.78i | 0.0328243 | − | 0.0568534i | |||||
−3960.00 | − | 6858.92i | −0.163827 | − | 0.283757i | |||||
−15588.5 | −0.643747 | |||||||||
−8194.33 | − | 14193.0i | −0.337791 | − | 0.585070i | |||||
10733.5 | + | 18591.0i | 0.441671 | + | 0.764997i | 0.997814 | − | 0.0660899i | ||
−0.556142 | + | 0.831087i | ||||||||
−1080.80 | −0.0443942 | |||||||||
2254.00 | + | 3904.04i | 0.0924187 | + | 0.160074i | |||||
6121.50 | − | 10602.7i | 0.250547 | − | 0.433961i | |||||
−36.3731 | + | 63.0000i | −0.00148607 | + | 0.00257394i | |||||
−5210.00 | −0.212483 | |||||||||
0 | 0 | |||||||||
−12006.0 | −0.487913 | |||||||||
7891.22 | − | 13668.0i | 0.320125 | − | 0.554472i | |||||
−46.5000 | + | 80.5404i | −0.00188304 | + | 0.00326152i | |||||
−7124.00 | − | 12339.1i | −0.287980 | − | 0.498796i | |||||
−24723.3 | −0.997649 | |||||||||
5606.65 | + | 9711.00i | 0.225844 | + | 0.391174i | |||||
5282.75 | + | 9150.00i | 0.212423 | + | 0.367927i | |||||
−774.227 | −0.0310774 | −0.0155387 | − | 0.999879i | ||||||
−0.0155387 | + | 0.999879i | ||||||||
1740.00 | + | 3013.77i | 0.0697208 | + | 0.120760i | |||||
2277.00 | − | 3943.88i | 0.0910781 | − | 0.157752i | |||||
16955.0 | − | 29367.0i | 0.676999 | − | 1.17260i | |||||
−13923.0 | −0.554960 | −0.277480 | − | 0.960731i | ||||||
−0.277480 | + | 0.960731i | ||||||||
0 | 0 | |||||||||
−22358.0 | −0.888062 | −0.444031 | − | 0.896011i | ||||||
−0.444031 | + | 0.896011i | ||||||||
450.333 | − | 780.000i | 0.0178561 | − | 0.0309277i | |||||
3768.00 | − | 6526.37i | 0.149144 | − | 0.258325i | |||||
8598.00 | + | 14892.2i | 0.339732 | + | 0.588433i | |||||
−2230.88 | −0.0879955 | −0.0439977 | − | 0.999032i | ||||||
−0.0439977 | + | 0.999032i | ||||||||
−9093.27 | − | 15750.0i | −0.358055 | − | 0.620169i | |||||
−2229.15 | − | 3861.00i | −0.0876224 | − | 0.151766i | |||||
−11461.0 | −0.449723 | |||||||||
−8776.00 | − | 15200.5i | −0.343770 | − | 0.595427i | |||||
5400.00 | − | 9353.07i | 0.211161 | − | 0.365742i | |||||
−8840.39 | + | 15312.0i | −0.345097 | + | 0.597726i | |||||
−846.000 | −0.0329679 | |||||||||
0 | 0 | |||||||||
34944.0 | 1.35706 | |||||||||
2310.56 | − | 4002.00i | 0.0895767 | − | 0.155151i | |||||
−7722.00 | + | 13374.9i | −0.298856 | + | 0.517635i | |||||
−2964.00 | − | 5133.80i | −0.114516 | − | 0.198348i | |||||
4589.93 | 0.177031 | |||||||||
8377.06 | + | 14509.5i | 0.322547 | + | 0.558667i | 0.981013 | − | 0.193943i | ||
−0.658466 | + | 0.752610i | ||||||||
−12114.0 | − | 20982.0i | −0.465634 | − | 0.806501i | |||||
16645.0 | 0.638706 | |||||||||
12.0000 | + | 20.7846i | 0.000459682 | + | 0.000796192i | |||||
8677.50 | − | 15029.9i | 0.331842 | − | 0.574766i | −0.651031 | − | 0.759051i | ||
0.982873 | + | 0.184284i | ||||||||
3007.71 | − | 5209.50i | 0.114824 | − | 0.198881i | |||||
46982.0 | 1.79057 | 0.895283 | − | 0.445497i | ||||||
0.895283 | + | 0.445497i | ||||||||
0 | 0 | |||||||||
−984.000 | −0.0373749 | |||||||||
1735.51 | − | 3006.00i | 0.0658079 | − | 0.113983i | |||||
4458.00 | − | 7721.48i | 0.168754 | − | 0.292291i | −0.769228 | − | 0.638975i | ||
0.937982 | + | 0.346684i | ||||||||
3237.00 | + | 5606.65i | 0.122327 | + | 0.211877i | |||||
−3962.93 | −0.149508 | |||||||||
1465.31 | + | 2538.00i | 0.0551882 | + | 0.0955887i | |||||
−2916.77 | − | 5052.00i | −0.109670 | − | 0.189953i | |||||
−12037.8 | −0.451854 | |||||||||
−17226.0 | − | 29836.3i | −0.645516 | − | 1.11807i | |||||
−81.0000 | + | 140.296i | −0.00303025 | + | 0.00524855i | |||||
−3242.40 | + | 5616.00i | −0.121097 | + | 0.209745i | |||||
12792.0 | 0.476954 | |||||||||
0 | 0 | |||||||||
15732.0 | 0.584614 | |||||||||
10989.9 | − | 19035.0i | 0.407711 | − | 0.706177i | |||||
7015.00 | − | 12150.3i | 0.259815 | − | 0.450012i | |||||
5440.50 | + | 9423.22i | 0.201165 | + | 0.348427i | |||||
6526.37 | 0.240914 | |||||||||
1441.07 | + | 2496.00i | 0.0531071 | + | 0.0919841i | |||||
7734.47 | + | 13396.5i | 0.284563 | + | 0.492877i | |||||
−1103.32 | −0.0405254 | |||||||||
3066.00 | + | 5310.47i | 0.112429 | + | 0.194733i | |||||
−15418.0 | + | 26704.8i | −0.564439 | + | 0.977637i | 0.432662 | + | 0.901556i | ||
−0.997102 | + | 0.0760813i | ||||||||
6018.88 | − | 10425.0i | 0.219982 | − | 0.381020i | |||||
9867.00 | 0.360031 | |||||||||
0 | 0 | |||||||||
−27480.0 | −0.999400 | −0.499700 | − | 0.866199i | ||||||
−0.499700 | + | 0.866199i | ||||||||
114.315 | − | 198.000i | 0.00415061 | − | 0.00718907i | |||||
5472.00 | − | 9477.78i | 0.198354 | − | 0.343558i | |||||
−2185.50 | − | 3785.40i | −0.0790918 | − | 0.136991i | |||||
−502.295 | −0.0181479 | |||||||||
−6270.02 | − | 10860.0i | −0.226165 | − | 0.391730i | |||||
13676.3 | + | 23688.0i | 0.492509 | + | 0.853050i | |||||
−20265.0 | −0.728589 | |||||||||
14221.0 | + | 24631.5i | 0.510454 | + | 0.884133i | 0.999927 | + | 0.0121140i | ||
−0.489472 | + | 0.872019i | ||||||||
1521.00 | − | 2634.45i | 0.0545064 | − | 0.0944078i | |||||
−2220.49 | + | 3846.00i | −0.0794437 | + | 0.137600i | |||||
−33927.0 | −1.21185 | |||||||||
0 | 0 | |||||||||
−1920.00 | −0.0683586 | |||||||||
−8769.37 | + | 15189.0i | −0.311714 | + | 0.539904i | |||||
−7476.00 | + | 12948.8i | −0.265310 | + | 0.459530i | |||||
−2093.00 | − | 3625.18i | −0.0741566 | − | 0.128443i | |||||
25643.0 | 0.907083 | |||||||||
−3489.22 | − | 6043.50i | −0.123227 | − | 0.213435i | 0.797812 | − | 0.602907i | ||
−0.921038 | + | 0.389472i | ||||||||
−467.654 | − | 810.000i | −0.0164892 | − | 0.0285602i | |||||
17261.6 | 0.607655 | |||||||||
14625.0 | + | 25331.2i | 0.514011 | + | 0.890292i | |||||
4914.00 | − | 8511.30i | 0.172430 | − | 0.298657i | |||||
−4728.50 | + | 8190.00i | −0.165654 | + | 0.286922i | |||||
2808.00 | 0.0982154 | |||||||||
0 | 0 | |||||||||
−38465.0 | −1.34109 | −0.670543 | − | 0.741871i | ||||||
−0.670543 | + | 0.741871i | ||||||||
9436.21 | − | 16344.0i | 0.328468 | − | 0.568924i | |||||
518.000 | − | 897.202i | 0.0180024 | − | 0.0311811i | |||||
1305.00 | + | 2260.33i | 0.0452813 | + | 0.0784295i | |||||
4884.38 | 0.169210 | 0.0846049 | − | 0.996415i | ||||||
0.0846049 | + | 0.996415i | ||||||||
2097.51 | + | 3633.00i | 0.0725485 | + | 0.125658i | |||||
10605.3 | + | 18369.0i | 0.366233 | + | 0.634334i | |||||
284.056 | 0.00979369 | |||||||||
−1200.00 | − | 2078.46i | −0.0413079 | − | 0.0715475i | |||||
−1248.00 | + | 2161.60i | −0.0428922 | + | 0.0742914i | |||||
−10882.5 | + | 18849.0i | −0.373424 | + | 0.646790i | −0.990090 | − | 0.140435i | ||
0.616665 | + | 0.787225i | ||||||||
−12760.0 | −0.437158 | |||||||||
0 | 0 | |||||||||
−24156.0 | −0.824973 | |||||||||
−3916.17 | + | 6783.00i | −0.133534 | + | 0.231287i | |||||
18252.0 | − | 31613.4i | 0.621377 | − | 1.07626i | |||||
3237.00 | + | 5606.65i | 0.110028 | + | 0.190574i | 0.915781 | − | 0.401677i | ||
−0.805753 | + | 0.592251i | ||||||||
3704.86 | 0.125733 | |||||||||
−2249.93 | − | 3897.00i | −0.0762368 | − | 0.132046i | |||||
−13458.0 | − | 23310.0i | −0.455297 | − | 0.788598i | |||||
−3907.51 | −0.131987 | |||||||||
−2211.00 | − | 3829.56i | −0.0745659 | − | 0.129152i | |||||
−5868.00 | + | 10163.7i | −0.197589 | + | 0.342234i | |||||
531.740 | − | 921.000i | 0.0178769 | − | 0.0309637i | |||||
−5491.00 | −0.184317 | |||||||||
0 | 0 | |||||||||
34638.0 | 1.15908 | |||||||||
−12293.2 | + | 21292.5i | −0.410724 | + | 0.711395i | |||||
967.500 | − | 1675.76i | 0.0322745 | − | 0.0559011i | |||||
1872.00 | + | 3242.40i | 0.0623505 | + | 0.107994i | |||||
7541.35 | 0.250789 | 0.125395 | − | 0.992107i | ||||||
0.125395 | + | 0.992107i | ||||||||
12823.2 | + | 22210.5i | 0.425779 | + | 0.737472i | |||||
−13374.9 | − | 23166.0i | −0.443409 | − | 0.768007i | |||||
602.754 | 0.0199518 | |||||||||
−17499.0 | − | 30309.2i | −0.578342 | − | 1.00172i | −0.995670 | − | 0.0929611i | ||
0.417328 | − | 0.908756i | ||||||||
8855.00 | − | 15337.3i | 0.292206 | − | 0.506116i | |||||
−1635.06 | + | 2832.00i | −0.0538720 | + | 0.0933091i | |||||
−18756.0 | −0.617024 | |||||||||
0 | 0 | |||||||||
145.000 | 0.00475547 | |||||||||
−12608.5 | + | 21838.5i | −0.412877 | + | 0.715123i | −0.995203 | − | 0.0978318i | ||
0.582326 | + | 0.812955i | ||||||||
1740.00 | − | 3013.77i | 0.0568907 | − | 0.0985375i | |||||
6768.00 | + | 11722.5i | 0.220946 | + | 0.382690i | |||||
−1307.70 | −0.0426254 | |||||||||
17847.1 | + | 30912.0i | 0.580849 | + | 1.00606i | |||||
−9862.30 | − | 17082.0i | −0.320487 | − | 0.555100i | |||||
56440.6 | 1.83131 | 0.915654 | − | 0.401967i | ||||||
0.915654 | + | 0.401967i | ||||||||
6123.00 | + | 10605.3i | 0.198368 | + | 0.343583i | |||||
−1776.00 | + | 3076.12i | −0.0574498 | + | 0.0995060i | |||||
14286.8 | − | 24745.5i | 0.461445 | − | 0.799247i | |||||
−8352.00 | −0.269349 | |||||||||
0 | 0 | |||||||||
−8112.00 | −0.260816 | |||||||||
478.046 | − | 828.000i | 0.0153468 | − | 0.0265814i | |||||
−29641.0 | + | 51339.7i | −0.950129 | + | 1.64567i | −0.204987 | + | 0.978765i | ||
−0.745142 | + | 0.666906i | ||||||||
14175.0 | + | 24551.8i | 0.453686 | + | 0.785808i | |||||
−14909.5 | −0.476474 | |||||||||
12678.6 | + | 21960.0i | 0.404569 | + | 0.700733i | |||||
2184.12 | + | 3783.00i | 0.0695891 | + | 0.120532i | |||||
7898.15 | 0.251268 | |||||||||
18855.5 | + | 32658.7i | 0.598957 | + | 1.03742i | 0.992975 | + | 0.118321i | ||
−0.394019 | + | 0.919102i | ||||||||
−15309.0 | + | 26516.0i | −0.485569 | + | 0.841030i | |||||
−7188.01 | + | 12450.0i | −0.227646 | + | 0.394295i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 169.4.c.h.22.2 | 4 | ||
13.2 | odd | 12 | 13.4.e.b.10.1 | yes | 2 | ||
13.3 | even | 3 | inner | 169.4.c.h.146.2 | 4 | ||
13.4 | even | 6 | 169.4.a.i.1.2 | 2 | |||
13.5 | odd | 4 | 169.4.e.a.147.1 | 2 | |||
13.6 | odd | 12 | 169.4.b.d.168.2 | 2 | |||
13.7 | odd | 12 | 169.4.b.d.168.1 | 2 | |||
13.8 | odd | 4 | 13.4.e.b.4.1 | ✓ | 2 | ||
13.9 | even | 3 | 169.4.a.i.1.1 | 2 | |||
13.10 | even | 6 | inner | 169.4.c.h.146.1 | 4 | ||
13.11 | odd | 12 | 169.4.e.a.23.1 | 2 | |||
13.12 | even | 2 | inner | 169.4.c.h.22.1 | 4 | ||
39.2 | even | 12 | 117.4.q.a.10.1 | 2 | |||
39.8 | even | 4 | 117.4.q.a.82.1 | 2 | |||
39.17 | odd | 6 | 1521.4.a.o.1.1 | 2 | |||
39.35 | odd | 6 | 1521.4.a.o.1.2 | 2 | |||
52.15 | even | 12 | 208.4.w.b.49.1 | 2 | |||
52.47 | even | 4 | 208.4.w.b.17.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.4.e.b.4.1 | ✓ | 2 | 13.8 | odd | 4 | ||
13.4.e.b.10.1 | yes | 2 | 13.2 | odd | 12 | ||
117.4.q.a.10.1 | 2 | 39.2 | even | 12 | |||
117.4.q.a.82.1 | 2 | 39.8 | even | 4 | |||
169.4.a.i.1.1 | 2 | 13.9 | even | 3 | |||
169.4.a.i.1.2 | 2 | 13.4 | even | 6 | |||
169.4.b.d.168.1 | 2 | 13.7 | odd | 12 | |||
169.4.b.d.168.2 | 2 | 13.6 | odd | 12 | |||
169.4.c.h.22.1 | 4 | 13.12 | even | 2 | inner | ||
169.4.c.h.22.2 | 4 | 1.1 | even | 1 | trivial | ||
169.4.c.h.146.1 | 4 | 13.10 | even | 6 | inner | ||
169.4.c.h.146.2 | 4 | 13.3 | even | 3 | inner | ||
169.4.e.a.23.1 | 2 | 13.11 | odd | 12 | |||
169.4.e.a.147.1 | 2 | 13.5 | odd | 4 | |||
208.4.w.b.17.1 | 2 | 52.47 | even | 4 | |||
208.4.w.b.49.1 | 2 | 52.15 | even | 12 | |||
1521.4.a.o.1.1 | 2 | 39.17 | odd | 6 | |||
1521.4.a.o.1.2 | 2 | 39.35 | odd | 6 |