Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [63,6,Mod(37,63)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(63, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("63.37");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 63.e (of order , degree , 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 7) |
Sato-Tate group: |
Embedding invariants
Embedding label | 37.2 | ||
Root | of defining polynomial | ||
Character | 63.37 | ||
Dual form | 63.6.e.d.46.2 |
-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 .
3.54138 | − | 6.13385i | 0.626034 | − | 1.08432i | −0.362306 | − | 0.932059i | ||
0.988340 | − | 0.152263i | ||||||||
0 | 0 | |||||||||
−9.08276 | − | 15.7318i | −0.283836 | − | 0.491619i | |||||
−39.9138 | + | 69.1328i | −0.714000 | + | 1.23668i | 0.249344 | + | 0.968415i | ||
−0.963344 | + | 0.268269i | ||||||||
0 | 0 | |||||||||
43.1587 | + | 122.247i | 0.332907 | + | 0.942960i | |||||
97.9863 | 0.541303 | |||||||||
0 | 0 | |||||||||
282.700 | + | 489.651i | 0.893976 | + | 1.54841i | |||||
175.952 | + | 304.757i | 0.438442 | + | 0.759403i | 0.997570 | − | 0.0696781i | ||
−0.559128 | + | 0.829082i | ||||||||
0 | 0 | |||||||||
−291.683 | −0.478688 | −0.239344 | − | 0.970935i | ||||||
−0.239344 | + | 0.970935i | ||||||||
902.686 | + | 168.194i | 1.23088 | + | 0.229346i | |||||
0 | 0 | |||||||||
637.655 | − | 1104.45i | 0.622710 | − | 1.07857i | |||||
−185.038 | − | 320.495i | −0.155288 | − | 0.268967i | 0.777876 | − | 0.628418i | ||
−0.933164 | + | 0.359451i | ||||||||
0 | 0 | |||||||||
−752.463 | + | 1303.30i | −0.478190 | + | 0.828250i | −0.999687 | − | 0.0250030i | ||
0.521497 | + | 0.853253i | ||||||||
1450.11 | 0.810637 | |||||||||
0 | 0 | |||||||||
2492.45 | 1.09792 | |||||||||
−212.855 | + | 368.676i | −0.0839006 | + | 0.145320i | −0.904922 | − | 0.425577i | ||
0.821022 | + | 0.570897i | ||||||||
0 | 0 | |||||||||
−1623.72 | − | 2812.37i | −0.519592 | − | 0.899960i | |||||
−1032.96 | + | 1789.14i | −0.299675 | + | 0.519052i | |||||
0 | 0 | |||||||||
1531.17 | − | 1789.30i | 0.369086 | − | 0.431310i | |||||
7783.93 | 1.71872 | 0.859358 | − | 0.511374i | ||||||
0.859358 | + | 0.511374i | ||||||||
0 | 0 | |||||||||
1287.59 | + | 2230.17i | 0.240643 | + | 0.416805i | 0.960898 | − | 0.276904i | ||
−0.720255 | + | 0.693710i | ||||||||
−2948.58 | − | 5107.09i | −0.509024 | − | 0.881655i | |||||
0 | 0 | |||||||||
−2621.16 | −0.388862 | |||||||||
−10173.9 | − | 1895.67i | −1.40384 | − | 0.261572i | |||||
0 | 0 | |||||||||
−369.809 | + | 640.528i | −0.0444092 | + | 0.0769190i | −0.887376 | − | 0.461047i | ||
0.842966 | + | 0.537966i | ||||||||
5329.51 | + | 9230.99i | 0.598727 | + | 1.03703i | |||||
0 | 0 | |||||||||
−3911.01 | + | 6774.06i | −0.386490 | + | 0.669421i | |||||
−7029.84 | −0.653109 | −0.326554 | − | 0.945178i | ||||||
−0.326554 | + | 0.945178i | ||||||||
0 | 0 | |||||||||
1835.23 | 0.151363 | 0.0756816 | − | 0.997132i | ||||||
0.0756816 | + | 0.997132i | ||||||||
3196.26 | − | 5536.08i | 0.248891 | − | 0.431093i | |||||
0 | 0 | |||||||||
1507.60 | + | 2611.25i | 0.105049 | + | 0.181950i | |||||
−766.342 | + | 1327.34i | −0.0506032 | + | 0.0876473i | −0.890217 | − | 0.455536i | ||
0.839614 | + | 0.543183i | ||||||||
0 | 0 | |||||||||
−13081.7 | + | 10552.0i | −0.778346 | + | 0.627836i | |||||
−23000.9 | −1.30113 | |||||||||
0 | 0 | |||||||||
2649.28 | + | 4588.69i | 0.135869 | + | 0.235332i | |||||
−4768.73 | − | 8259.68i | −0.233192 | − | 0.403900i | 0.725554 | − | 0.688165i | ||
−0.958746 | + | 0.284265i | ||||||||
0 | 0 | |||||||||
−28091.6 | −1.25219 | |||||||||
4228.96 | + | 11978.5i | 0.180204 | + | 0.510427i | |||||
0 | 0 | |||||||||
27565.9 | − | 47745.5i | 1.07597 | − | 1.86364i | |||||
−14837.0 | − | 25698.5i | −0.554903 | − | 0.961120i | −0.997911 | − | 0.0646022i | ||
0.443008 | − | 0.896517i | ||||||||
0 | 0 | |||||||||
23255.4 | − | 40279.5i | 0.800201 | − | 1.38599i | −0.119282 | − | 0.992860i | ||
0.919483 | − | 0.393129i | ||||||||
18239.4 | 0.602602 | |||||||||
0 | 0 | |||||||||
−958.246 | −0.0292434 | |||||||||
11642.2 | − | 20164.8i | 0.341783 | − | 0.591985i | |||||
0 | 0 | |||||||||
−13373.0 | − | 23162.8i | −0.363951 | − | 0.630381i | 0.624656 | − | 0.780900i | ||
−0.988607 | + | 0.150518i | ||||||||
−3361.31 | + | 5821.95i | −0.0881527 | + | 0.152685i | |||||
0 | 0 | |||||||||
−47657.4 | + | 55691.9i | −1.16248 | + | 1.35846i | |||||
14388.8 | 0.338748 | 0.169374 | − | 0.985552i | ||||||
0.169374 | + | 0.985552i | ||||||||
0 | 0 | |||||||||
35047.6 | + | 60704.2i | 0.769752 | + | 1.33325i | 0.937697 | + | 0.347453i | ||
−0.167946 | + | 0.985796i | ||||||||
2619.27 | + | 4536.71i | 0.0556033 | + | 0.0963078i | |||||
0 | 0 | |||||||||
27337.8 | 0.542911 | |||||||||
−29661.8 | + | 34662.5i | −0.570126 | + | 0.666244i | |||||
0 | 0 | |||||||||
13542.9 | − | 23457.0i | 0.244143 | − | 0.422868i | −0.717748 | − | 0.696303i | ||
0.961890 | + | 0.273436i | ||||||||
50902.5 | + | 88165.7i | 0.889230 | + | 1.54019i | |||||
0 | 0 | |||||||||
−24895.3 | + | 43120.0i | −0.408868 | + | 0.708181i | |||||
79755.4 | 1.27076 | 0.635382 | − | 0.772198i | ||||||
0.635382 | + | 0.772198i | ||||||||
0 | 0 | |||||||||
29542.2 | 0.443502 | |||||||||
6499.26 | − | 11257.0i | 0.0947584 | − | 0.164126i | |||||
0 | 0 | |||||||||
17240.9 | + | 29862.1i | 0.237330 | + | 0.411067i | |||||
21788.7 | − | 37739.1i | 0.291579 | − | 0.505029i | −0.682605 | − | 0.730788i | ||
0.974183 | + | 0.225759i | ||||||||
0 | 0 | |||||||||
−12588.6 | − | 35657.3i | −0.159358 | − | 0.451383i | |||||
7733.26 | 0.0952561 | |||||||||
0 | 0 | |||||||||
5427.82 | + | 9401.25i | 0.0633586 | + | 0.109740i | |||||
−60067.3 | − | 104040.i | −0.682856 | − | 1.18274i | |||||
0 | 0 | |||||||||
103374. | 1.11553 | 0.557765 | − | 0.829999i | ||||||
0.557765 | + | 0.829999i | ||||||||
18397.5 | + | 117610.i | 0.193506 | + | 1.23702i | |||||
0 | 0 | |||||||||
−29495.8 | + | 51088.3i | −0.294958 | + | 0.510883i | |||||
14350.1 | + | 24855.1i | 0.139975 | + | 0.242444i | 0.927487 | − | 0.373855i | ||
−0.787512 | + | 0.616300i | ||||||||
0 | 0 | |||||||||
−14614.0 | + | 25312.1i | −0.135730 | + | 0.235091i | −0.925876 | − | 0.377828i | ||
0.790146 | + | 0.612918i | ||||||||
−28580.9 | −0.259115 | |||||||||
0 | 0 | |||||||||
−67551.6 | −0.583944 | |||||||||
43929.2 | − | 76087.6i | 0.370932 | − | 0.642472i | −0.618778 | − | 0.785566i | ||
0.989709 | + | 0.143094i | ||||||||
0 | 0 | |||||||||
−110314. | − | 191069.i | −0.889333 | − | 1.54037i | −0.840665 | − | 0.541555i | ||
−0.0486678 | − | 0.998815i | ||||||||
−99483.2 | + | 172310.i | −0.783913 | + | 1.35778i | |||||
0 | 0 | |||||||||
162536. | + | 30284.8i | 1.22435 | + | 0.228128i | |||||
−39665.6 | −0.292225 | −0.146113 | − | 0.989268i | ||||||
−0.146113 | + | 0.989268i | ||||||||
0 | 0 | |||||||||
−16991.7 | − | 29430.5i | −0.119810 | − | 0.207517i | |||||
−70699.6 | − | 122455.i | −0.487834 | − | 0.844953i | |||||
0 | 0 | |||||||||
−210174. | −1.38955 | |||||||||
31193.5 | − | 36452.4i | 0.201928 | − | 0.235971i | |||||
0 | 0 | |||||||||
18607.4 | − | 32229.0i | 0.115538 | − | 0.200117i | |||||
−164712. | − | 285290.i | −1.00191 | − | 1.73535i | |||||
0 | 0 | |||||||||
23389.7 | − | 40512.2i | 0.136606 | − | 0.236609i | |||||
9774.87 | 0.0559546 | |||||||||
0 | 0 | |||||||||
51740.3 | 0.284655 | 0.142328 | − | 0.989820i | ||||||
0.142328 | + | 0.989820i | ||||||||
90961.0 | − | 157549.i | 0.490716 | − | 0.849946i | |||||
0 | 0 | |||||||||
−82458.7 | − | 142823.i | −0.427935 | − | 0.741206i | |||||
−83336.9 | + | 144344.i | −0.424286 | + | 0.734885i | −0.996353 | − | 0.0853215i | ||
0.572067 | + | 0.820207i | ||||||||
0 | 0 | |||||||||
−191800. | − | 35737.4i | −0.940200 | − | 0.175184i | |||||
−189436. | −0.911382 | |||||||||
0 | 0 | |||||||||
−18131.2 | − | 31404.1i | −0.0840578 | − | 0.145592i | |||||
14129.7 | + | 24473.4i | 0.0643178 | + | 0.111402i | 0.896391 | − | 0.443264i | ||
−0.832073 | + | 0.554666i | ||||||||
0 | 0 | |||||||||
336393. | 1.47676 | 0.738380 | − | 0.674384i | ||||||
0.738380 | + | 0.674384i | ||||||||
62584.9 | + | 177272.i | 0.269867 | + | 0.764398i | |||||
0 | 0 | |||||||||
50956.1 | − | 88258.5i | 0.212068 | − | 0.367312i | |||||
−51322.1 | − | 88892.4i | −0.209877 | − | 0.363517i | |||||
0 | 0 | |||||||||
−310686. | + | 538125.i | −1.22716 | + | 2.12551i | |||||
496467. | 1.92756 | |||||||||
0 | 0 | |||||||||
13435.5 | 0.0504198 | |||||||||
−177691. | + | 307769.i | −0.655691 | + | 1.13569i | 0.326030 | + | 0.945360i | ||
−0.981720 | + | 0.190330i | ||||||||
0 | 0 | |||||||||
179399. | + | 310727.i | 0.640290 | + | 1.10901i | 0.985368 | + | 0.170441i | ||
−0.345078 | + | 0.938574i | ||||||||
−73731.0 | + | 127706.i | −0.258846 | + | 0.448334i | |||||
0 | 0 | |||||||||
107571. | + | 304694.i | 0.365504 | + | 1.03529i | |||||
−205570. | −0.687275 | |||||||||
0 | 0 | |||||||||
−229455. | − | 397428.i | −0.742932 | − | 1.28680i | −0.951155 | − | 0.308714i | ||
0.208223 | − | 0.978081i | ||||||||
−95921.1 | − | 166140.i | −0.305683 | − | 0.529459i | |||||
0 | 0 | |||||||||
470756. | 1.45377 | |||||||||
−54256.1 | − | 10109.3i | −0.164962 | − | 0.0307368i | |||||
0 | 0 | |||||||||
−251220. | + | 435126.i | −0.740603 | + | 1.28276i | 0.211618 | + | 0.977353i | ||
−0.952221 | + | 0.305410i | ||||||||
63850.3 | + | 110592.i | 0.185376 | + | 0.321081i | |||||
0 | 0 | |||||||||
282444. | − | 489208.i | 0.795541 | − | 1.37792i | |||||
676652. | 1.87748 | 0.938738 | − | 0.344632i | ||||||
0.938738 | + | 0.344632i | ||||||||
0 | 0 | |||||||||
−286214. | −0.770858 | |||||||||
104620. | − | 181208.i | 0.277647 | − | 0.480900i | |||||
0 | 0 | |||||||||
−16669.0 | − | 28871.5i | −0.0429623 | − | 0.0744130i | |||||
−124580. | + | 215779.i | −0.316470 | + | 0.548143i | −0.979749 | − | 0.200230i | ||
0.663279 | + | 0.748373i | ||||||||
0 | 0 | |||||||||
273726. | − | 319874.i | 0.675650 | − | 0.789557i | |||||
448786. | 1.09209 | |||||||||
0 | 0 | |||||||||
−154324. | − | 267297.i | −0.365076 | − | 0.632330i | |||||
69628.9 | + | 120601.i | 0.162427 | + | 0.281331i | 0.935738 | − | 0.352695i | ||
−0.773312 | + | 0.634026i | ||||||||
0 | 0 | |||||||||
306246. | 0.694823 | 0.347412 | − | 0.937713i | ||||||
0.347412 | + | 0.937713i | ||||||||
−263298. | − | 49059.4i | −0.589209 | − | 0.109785i | |||||
0 | 0 | |||||||||
−20856.9 | + | 36125.2i | −0.0454156 | + | 0.0786622i | |||||
−29521.0 | − | 51131.8i | −0.0634163 | − | 0.109840i | |||||
0 | 0 | |||||||||
65115.4 | − | 112783.i | 0.136169 | − | 0.235852i | |||||
27842.0 | 0.0574521 | |||||||||
0 | 0 | |||||||||
−850885. | −1.70996 | |||||||||
113747. | − | 197015.i | 0.225609 | − | 0.390766i | −0.730893 | − | 0.682492i | ||
0.956502 | + | 0.291726i | ||||||||
0 | 0 | |||||||||
336187. | + | 582293.i | 0.649663 | + | 1.12525i | 0.983203 | + | 0.182513i | ||
−0.333541 | + | 0.942736i | ||||||||
366086. | − | 634079.i | 0.698359 | − | 1.20959i | |||||
0 | 0 | |||||||||
284820. | + | 109956.i | 0.529579 | + | 0.204447i | |||||
1282.76 | 0.00235493 | 0.00117747 | − | 0.999999i | ||||||
0.00117747 | + | 0.999999i | ||||||||
0 | 0 | |||||||||
−184449. | − | 319475.i | −0.330175 | − | 0.571879i | 0.652371 | − | 0.757900i | ||
−0.982546 | + | 0.186020i | ||||||||
−159103. | − | 275574.i | −0.281257 | − | 0.487151i | |||||
0 | 0 | |||||||||
203277. | 0.350517 | |||||||||
335944. | + | 951563.i | 0.572173 | + | 1.62068i | |||||
0 | 0 | |||||||||
280588. | − | 485992.i | 0.466320 | − | 0.807690i | |||||
103507. | + | 179280.i | 0.169943 | + | 0.294349i | |||||
0 | 0 | |||||||||
−185993. | + | 322149.i | −0.298084 | + | 0.516296i | |||||
−529589. | −0.838635 | |||||||||
0 | 0 | |||||||||
502168. | 0.776503 | 0.388251 | − | 0.921553i | ||||||
0.388251 | + | 0.921553i | ||||||||
−86626.5 | + | 150042.i | −0.132377 | + | 0.229283i | |||||
0 | 0 | |||||||||
−311140. | − | 538910.i | −0.464431 | − | 0.804419i | |||||
−73251.1 | + | 126875.i | −0.108073 | + | 0.187188i | |||||
0 | 0 | |||||||||
−217061. | + | 253655.i | −0.312919 | + | 0.365674i | |||||
−1.56266e6 | −2.22701 | |||||||||
0 | 0 | |||||||||
255150. | + | 441932.i | 0.355417 | + | 0.615600i | |||||
53972.3 | + | 93482.7i | 0.0743344 | + | 0.128751i | |||||
0 | 0 | |||||||||
−1.17328e6 | −1.57993 | −0.789967 | − | 0.613149i | ||||||
−0.789967 | + | 0.613149i | ||||||||
497070. | − | 580870.i | 0.661907 | − | 0.773498i | |||||
0 | 0 | |||||||||
−140471. | + | 243303.i | −0.182943 | + | 0.316867i | |||||
−455079. | − | 788220.i | −0.586168 | − | 1.01527i | −0.994729 | − | 0.102542i | ||
0.408560 | − | 0.912731i | ||||||||
0 | 0 | |||||||||
−260962. | + | 452000.i | −0.328843 | + | 0.569573i | −0.982283 | − | 0.187406i | ||
0.653439 | + | 0.756979i | ||||||||
−240697. | −0.300020 | |||||||||
0 | 0 | |||||||||
762719. | 0.930346 | |||||||||
−521394. | + | 903081.i | −0.629182 | + | 1.08977i | 0.358535 | + | 0.933516i | ||
−0.987716 | + | 0.156258i | ||||||||
0 | 0 | |||||||||
−61175.2 | − | 105959.i | −0.0722613 | − | 0.125160i | |||||
−269522. | + | 466826.i | −0.315003 | + | 0.545601i | |||||
0 | 0 | |||||||||
−113126. | − | 320428.i | −0.129455 | − | 0.366681i | |||||
1.53447e6 | 1.73766 | 0.868830 | − | 0.495110i | ||||||
0.868830 | + | 0.495110i | ||||||||
0 | 0 | |||||||||
503789. | + | 872588.i | 0.558735 | + | 0.967758i | 0.997602 | + | 0.0692059i | ||
−0.438867 | + | 0.898552i | ||||||||
−131792. | − | 228271.i | −0.144661 | − | 0.250560i | |||||
0 | 0 | |||||||||
−844893. | −0.908505 | |||||||||
−207353. | − | 1.32554e6i | −0.220696 | − | 1.41084i | |||||
0 | 0 | |||||||||
219480. | − | 380151.i | 0.228904 | − | 0.396473i | |||||
126166. | + | 218526.i | 0.130261 | + | 0.225618i | |||||
0 | 0 | |||||||||
34616.6 | − | 59957.6i | 0.0350295 | − | 0.0606729i | |||||
−8511.89 | −0.00852789 | −0.00426394 | − | 0.999991i | ||||||
−0.00426394 | + | 0.999991i | ||||||||
0 | 0 | |||||||||
−149809. | −0.147142 | |||||||||
183232. | − | 317367.i | 0.178204 | − | 0.308658i | |||||
0 | 0 | |||||||||
−659587. | − | 1.14244e6i | −0.629032 | − | 1.08951i | |||||
−263766. | + | 456856.i | −0.249107 | + | 0.431466i | −0.963278 | − | 0.268505i | ||
0.714171 | + | 0.699971i | ||||||||
0 | 0 | |||||||||
−94263.0 | − | 17563.7i | −0.0873156 | − | 0.0162692i | |||||
−422972. | −0.388042 | |||||||||
0 | 0 | |||||||||
590255. | + | 1.02235e6i | 0.531235 | + | 0.920126i | |||||
−176042. | − | 304914.i | −0.156938 | − | 0.271824i | 0.776825 | − | 0.629716i | ||
−0.933763 | + | 0.357892i | ||||||||
0 | 0 | |||||||||
761353. | 0.665996 | |||||||||
−898446. | + | 1.04991e6i | −0.778552 | + | 0.909808i | |||||
0 | 0 | |||||||||
−242928. | + | 420764.i | −0.206605 | + | 0.357850i | |||||
239770. | + | 415294.i | 0.202029 | + | 0.349925i | 0.949182 | − | 0.314727i | ||
−0.747153 | + | 0.664652i | ||||||||
0 | 0 | |||||||||
488805. | − | 846636.i | 0.404308 | − | 0.700283i | −0.589932 | − | 0.807453i | ||
0.994241 | + | 0.107170i | ||||||||
−471961. | −0.386798 | |||||||||
0 | 0 | |||||||||
200155. | 0.161061 | |||||||||
571395. | − | 989684.i | 0.455622 | − | 0.789160i | |||||
0 | 0 | |||||||||
−484362. | − | 838939.i | −0.379289 | − | 0.656948i | 0.611670 | − | 0.791113i | ||
−0.990959 | + | 0.134165i | ||||||||
1.19130e6 | − | 2.06339e6i | 0.924502 | − | 1.60128i | |||||
0 | 0 | |||||||||
−996903. | − | 185749.i | −0.759902 | − | 0.141590i | |||||
318333. | 0.240501 | 0.120250 | − | 0.992744i | ||||||
0.120250 | + | 0.992744i | ||||||||
0 | 0 | |||||||||
−886051. | − | 1.53468e6i | −0.657646 | − | 1.13908i | −0.981223 | − | 0.192875i | ||
0.323577 | − | 0.946202i | ||||||||
−130690. | − | 226361.i | −0.0961491 | − | 0.166535i | |||||
0 | 0 | |||||||||
−727004. | −0.525559 | |||||||||
−303398. | − | 859377.i | −0.217425 | − | 0.615855i | |||||
0 | 0 | |||||||||
641451. | − | 1.11103e6i | 0.451771 | − | 0.782491i | |||||
2.20052e6 | + | 3.81141e6i | 1.53649 | + | 2.66128i | |||||
0 | 0 | |||||||||
636657. | − | 1.10272e6i | 0.436967 | − | 0.756849i | |||||
−1.64148e6 | −1.11703 | −0.558516 | − | 0.829494i | ||||||
−0.558516 | + | 0.829494i | ||||||||
0 | 0 | |||||||||
2.36881e6 | 1.58480 | |||||||||
−36236.2 | + | 62762.9i | −0.0240388 | + | 0.0416365i | |||||
0 | 0 | |||||||||
1.25854e6 | + | 2.17986e6i | 0.820969 | + | 1.42196i | |||||
62086.2 | − | 107536.i | 0.0401622 | − | 0.0695629i | |||||
0 | 0 | |||||||||
79206.2 | + | 224352.i | 0.0503898 | + | 0.142729i | |||||
2.54128e6 | 1.60337 | |||||||||
0 | 0 | |||||||||
959623. | + | 1.66212e6i | 0.595548 | + | 1.03152i | |||||
1.85642e6 | + | 3.21542e6i | 1.14269 | + | 1.97919i | |||||
0 | 0 | |||||||||
−466930. | −0.282752 | −0.141376 | − | 0.989956i | ||||||
−0.141376 | + | 0.989956i | ||||||||
814715. | + | 151803.i | 0.489361 | + | 0.0911808i | |||||
0 | 0 | |||||||||
−728002. | + | 1.26094e6i | −0.430257 | + | 0.745228i | |||||
−1.21898e6 | − | 2.11134e6i | −0.714654 | − | 1.23782i | −0.963093 | − | 0.269169i | ||
0.248439 | − | 0.968647i | ||||||||
0 | 0 | |||||||||
−1.21047e6 | + | 2.09659e6i | −0.698381 | + | 1.20963i | 0.270646 | + | 0.962679i | ||
−0.969028 | + | 0.246953i | ||||||||
−3.25035e6 | −1.86040 | |||||||||
0 | 0 | |||||||||
−492028. | −0.277186 | |||||||||
938057. | − | 1.62476e6i | 0.524301 | − | 0.908116i | −0.475298 | − | 0.879825i | ||
0.999600 | − | 0.0282918i | ||||||||
0 | 0 | |||||||||
1.36960e6 | + | 2.37221e6i | 0.753557 | + | 1.30520i | |||||
38247.3 | − | 66246.2i | 0.0208798 | − | 0.0361648i | |||||
0 | 0 | |||||||||
−254151. | + | 296998.i | −0.136600 | + | 0.159630i | |||||
556936. | 0.297029 | |||||||||
0 | 0 | |||||||||
473612. | + | 820321.i | 0.248722 | + | 0.430800i | |||||
1.77933e6 | + | 3.08190e6i | 0.927285 | + | 1.60611i | |||||
0 | 0 | |||||||||
−688828. | −0.353530 | |||||||||
−195338. | − | 36396.6i | −0.0994940 | − | 0.0185384i | |||||
0 | 0 | |||||||||
541549. | − | 937990.i | 0.271686 | − | 0.470575i | −0.697607 | − | 0.716480i | ||
0.969294 | + | 0.245906i | ||||||||
−724399. | − | 1.25470e6i | −0.360689 | − | 0.624732i | |||||
0 | 0 | |||||||||
2.39628e6 | − | 4.15048e6i | 1.17536 | − | 2.03579i | |||||
2.13507e6 | 1.03944 | |||||||||
0 | 0 | |||||||||
−2.59465e6 | −1.24453 | −0.622263 | − | 0.782809i | ||||||
−0.622263 | + | 0.782809i | ||||||||
−1.01359e6 | + | 1.75560e6i | −0.482583 | + | 0.835859i | |||||
0 | 0 | |||||||||
−268325. | − | 464753.i | −0.125882 | − | 0.218034i | |||||
−453107. | + | 784804.i | −0.211016 | + | 0.365490i | |||||
0 | 0 | |||||||||
−1.85454e6 | − | 1.14378e6i | −0.851141 | − | 0.524938i | |||||
179828. | 0.0819333 | |||||||||
0 | 0 | |||||||||
882371. | + | 1.52831e6i | 0.396242 | + | 0.686312i | |||||
−935255. | − | 1.61991e6i | −0.416972 | − | 0.722216i | 0.578662 | − | 0.815568i | ||
−0.995633 | + | 0.0933518i | ||||||||
0 | 0 | |||||||||
−1.61685e6 | −0.710568 | −0.355284 | − | 0.934758i | ||||||
−0.355284 | + | 0.934758i | ||||||||
−992689. | − | 2.81179e6i | −0.433155 | − | 1.22691i | |||||
0 | 0 | |||||||||
1.03762e6 | − | 1.79720e6i | 0.446354 | − | 0.773109i | |||||
−289153. | − | 500827.i | −0.123507 | − | 0.213920i | 0.797642 | − | 0.603132i | ||
−0.921148 | + | 0.389212i | ||||||||
0 | 0 | |||||||||
−574310. | + | 994734.i | −0.241866 | + | 0.418925i | |||||
−791605. | −0.331042 | |||||||||
0 | 0 | |||||||||
986330. | 0.406738 | |||||||||
−984090. | + | 1.70449e6i | −0.402994 | + | 0.698006i | −0.994086 | − | 0.108598i | ||
0.591092 | + | 0.806604i | ||||||||
0 | 0 | |||||||||
105650. | + | 182990.i | 0.0426677 | + | 0.0739027i | |||||
1.08453e6 | − | 1.87847e6i | 0.434983 | − | 0.753412i | |||||
0 | 0 | |||||||||
−446615. | + | 521909.i | −0.176677 | + | 0.206463i | |||||
−5.59553e6 | −2.19841 | |||||||||
0 | 0 | |||||||||
−1.08726e6 | − | 1.88319e6i | −0.421375 | − | 0.729842i | 0.574700 | − | 0.818364i | ||
−0.996074 | + | 0.0885223i | ||||||||
271457. | + | 470177.i | 0.104491 | + | 0.180985i | |||||
0 | 0 | |||||||||
−418180. | −0.158803 | |||||||||
803910. | − | 939440.i | 0.303230 | − | 0.354352i | |||||
0 | 0 | |||||||||
−692379. | + | 1.19924e6i | −0.257675 | + | 0.446306i | −0.965619 | − | 0.259963i | ||
0.707944 | + | 0.706269i | ||||||||
−461197. | − | 798817.i | −0.170493 | − | 0.295303i | |||||
0 | 0 | |||||||||
−75091.0 | + | 130061.i | −0.0273916 | + | 0.0474437i | |||||
−2.27044e6 | −0.822728 | |||||||||
0 | 0 | |||||||||
3.37190e6 | 1.20580 | 0.602902 | − | 0.797815i | ||||||
0.602902 | + | 0.797815i | ||||||||
−1.09115e6 | + | 1.88993e6i | −0.387639 | + | 0.671410i | |||||
0 | 0 | |||||||||
−805642. | − | 1.39541e6i | −0.282478 | − | 0.489265i | |||||
1.64030e6 | − | 2.84108e6i | 0.571382 | − | 0.989662i | −0.425043 | − | 0.905173i | ||
0.996424 | − | 0.0844886i | ||||||||
0 | 0 | |||||||||
−1.21240e6 | − | 3.43412e6i | −0.416863 | − | 1.18076i | |||||
4.76227e6 | 1.62684 | |||||||||
0 | 0 | |||||||||
−938919. | − | 1.62626e6i | −0.316628 | − | 0.548415i | |||||
−1.47405e6 | − | 2.55313e6i | −0.493899 | − | 0.855457i | 0.506077 | − | 0.862488i | ||
−0.999975 | + | 0.00703108i | ||||||||
0 | 0 | |||||||||
157545. | 0.0521150 | |||||||||
−1.28182e6 | + | 1.03396e6i | −0.421321 | + | 0.339849i | |||||
0 | 0 | |||||||||
4542.73 | − | 7868.24i | 0.00147427 | − | 0.00255351i | |||||
1.08110e6 | + | 1.87251e6i | 0.348636 | + | 0.603855i | |||||
0 | 0 | |||||||||
34635.1 | − | 59989.7i | 0.0110291 | − | 0.0191030i | −0.860458 | − | 0.509521i | ||
0.871487 | + | 0.490418i | ||||||||
−2.61282e6 | −0.826802 | |||||||||
0 | 0 | |||||||||
−4.14151e6 | −1.29422 | |||||||||
−1.67393e6 | + | 2.89933e6i | −0.519848 | + | 0.900404i | 0.479886 | + | 0.877331i | ||
−0.999734 | + | 0.0230725i | ||||||||
0 | 0 | |||||||||
−375567. | − | 650501.i | −0.115193 | − | 0.199520i | |||||
260677. | − | 451506.i | 0.0794602 | − | 0.137629i | |||||
0 | 0 | |||||||||
7.02645e6 | + | 1.30921e6i | 2.11554 | + | 0.394181i | |||||
−260274. | −0.0778834 | |||||||||
0 | 0 | |||||||||
−1.45608e6 | − | 2.52201e6i | −0.430406 | − | 0.745485i | 0.566502 | − | 0.824060i | ||
−0.996908 | + | 0.0785754i | ||||||||
−1.98734e6 | − | 3.44217e6i | −0.583864 | − | 1.01128i | |||||
0 | 0 | |||||||||
530940. | 0.154100 | |||||||||
2.50122e6 | − | 2.92289e6i | 0.721566 | − | 0.843214i | |||||
0 | 0 | |||||||||
−3.18334e6 | + | 5.51371e6i | −0.907326 | + | 1.57153i | |||||
860050. | + | 1.48965e6i | 0.243663 | + | 0.422037i | |||||
0 | 0 | |||||||||
−1.87547e6 | + | 3.24842e6i | −0.525014 | + | 0.909350i | |||||
4.62361e6 | 1.28661 | 0.643304 | − | 0.765611i | ||||||
0.643304 | + | 0.765611i | ||||||||
0 | 0 | |||||||||
−2.63042e6 | −0.723303 | −0.361652 | − | 0.932313i | ||||||
−0.361652 | + | 0.932313i | ||||||||
1.77837e6 | − | 3.08023e6i | 0.486117 | − | 0.841979i | |||||
0 | 0 | |||||||||
−467270. | − | 809336.i | −0.126227 | − | 0.218632i | |||||
−600901. | + | 1.04079e6i | −0.161373 | + | 0.279506i | |||||
0 | 0 | |||||||||
5.92772e6 | + | 1.10449e6i | 1.57332 | + | 0.293152i | |||||
−1.59599e6 | −0.421135 | |||||||||
0 | 0 | |||||||||
518820. | + | 898623.i | 0.135315 | + | 0.234372i | |||||
3.77064e6 | + | 6.53094e6i | 0.977736 | + | 1.69349i | 0.670592 | + | 0.741826i | ||
0.307144 | + | 0.951663i | ||||||||
0 | 0 | |||||||||
5.83558e6 | 1.49577 | 0.747883 | − | 0.663830i | ||||||
0.747883 | + | 0.663830i | ||||||||
787186. | + | 2.22971e6i | 0.200610 | + | 0.568229i | |||||
0 | 0 | |||||||||
−2.00391e6 | + | 3.47088e6i | −0.504850 | + | 0.874426i | |||||
−320331. | − | 554830.i | −0.0802409 | − | 0.138981i | |||||
0 | 0 | |||||||||
−84051.9 | + | 145582.i | −0.0208155 | + | 0.0360535i | −0.876246 | − | 0.481865i | ||
0.855430 | + | 0.517918i | ||||||||
−2.75259e6 | −0.677814 | |||||||||
0 | 0 | |||||||||
764546. | 0.186143 | |||||||||
−1.42076e6 | + | 2.46082e6i | −0.343962 | + | 0.595760i | −0.985165 | − | 0.171612i | ||
0.641203 | + | 0.767372i | ||||||||
0 | 0 | |||||||||
1.73934e6 | + | 3.01262e6i | 0.416374 | + | 0.721181i | |||||
−4.15503e6 | + | 7.19672e6i | −0.989092 | + | 1.71316i | |||||
0 | 0 | |||||||||
−41356.6 | − | 117143.i | −0.00973532 | − | 0.0275753i | |||||
1.41567e6 | 0.331396 | 0.165698 | − | 0.986177i | ||||||
0.165698 | + | 0.986177i | ||||||||
0 | 0 | |||||||||
−1.23691e6 | − | 2.14240e6i | −0.286350 | − | 0.495973i | |||||
360273. | + | 624012.i | 0.0829442 | + | 0.143664i | |||||
0 | 0 | |||||||||
−6.44644e6 | −1.46784 | |||||||||
2.96755e6 | + | 552933.i | 0.672000 | + | 0.125211i | |||||
0 | 0 | |||||||||
−778637. | + | 1.34864e6i | −0.174399 | + | 0.302068i | −0.939953 | − | 0.341303i | ||
0.765554 | + | 0.643372i | ||||||||
1.84833e6 | + | 3.20141e6i | 0.411734 | + | 0.713144i | |||||
0 | 0 | |||||||||
−308664. | + | 534621.i | −0.0680129 | + | 0.117802i | |||||
4.45345e6 | 0.975987 | 0.487994 | − | 0.872847i | ||||||
0.487994 | + | 0.872847i | ||||||||
0 | 0 | |||||||||
4.92263e6 | 1.06720 | 0.533599 | − | 0.845738i | ||||||
0.533599 | + | 0.845738i | ||||||||
4.96347e6 | − | 8.59698e6i | 1.07026 | − | 1.85375i | |||||
0 | 0 | |||||||||
3.69291e6 | + | 6.39631e6i | 0.787778 | + | 1.36447i | |||||
2.54545e6 | − | 4.40885e6i | 0.540098 | − | 0.935477i | −0.458800 | − | 0.888540i | ||
0.998898 | − | 0.0469376i | ||||||||
0 | 0 | |||||||||
2.25442e6 | − | 2.63449e6i | 0.473262 | − | 0.553049i | |||||
−866579. | −0.180952 | |||||||||
0 | 0 | |||||||||
−1.45383e6 | − | 2.51810e6i | −0.300370 | − | 0.520257i | |||||
322912. | + | 559301.i | 0.0663639 | + | 0.114946i | |||||
0 | 0 | |||||||||
4.88717e6 | 0.993856 | |||||||||
−856786. | − | 159642.i | −0.173322 | − | 0.0322946i | |||||
0 | 0 | |||||||||
5.43416e6 | − | 9.41224e6i | 1.08783 | − | 1.88418i | |||||
−4.15042e6 | − | 7.18874e6i | −0.826521 | − | 1.43158i | −0.900752 | − | 0.434334i | ||
0.0742312 | − | 0.997241i | ||||||||
0 | 0 | |||||||||
107867. | − | 186831.i | 0.0212581 | − | 0.0368202i | |||||
7.13644e6 | 1.39915 | |||||||||
0 | 0 | |||||||||
−676028. | −0.131175 | |||||||||
−4.12604e6 | + | 7.14651e6i | −0.796488 | + | 1.37956i | |||||
0 | 0 | |||||||||
−4.31701e6 | − | 7.47727e6i | −0.824822 | − | 1.42863i | −0.902055 | − | 0.431621i | ||
0.0772330 | − | 0.997013i | ||||||||
2.27871e6 | − | 3.94684e6i | 0.433151 | − | 0.750240i | |||||
0 | 0 | |||||||||
−8.86500e6 | − | 3.42238e6i | −1.66797 | − | 0.643930i | |||||
−95039.5 | −0.0177910 | −0.00889550 | − | 0.999960i | ||||||
−0.00889550 | + | 0.999960i | ||||||||
0 | 0 | |||||||||
−1.44032e6 | − | 2.49471e6i | −0.266896 | − | 0.462277i | |||||
−1.55453e6 | − | 2.69252e6i | −0.286603 | − | 0.496411i | |||||
0 | 0 | |||||||||
3.28415e6 | 0.599402 | |||||||||
621000. | + | 1.75898e6i | 0.112772 | + | 0.319426i | |||||
0 | 0 | |||||||||
−1.07102e6 | + | 1.85506e6i | −0.192551 | + | 0.333507i | −0.946095 | − | 0.323890i | ||
0.753544 | + | 0.657397i | ||||||||
−88782.9 | − | 153776.i | −0.0158820 | − | 0.0275084i | |||||
0 | 0 | |||||||||
−30143.8 | + | 52210.7i | −0.00533875 | + | 0.00924698i | |||||
−5.24794e6 | −0.924844 | −0.462422 | − | 0.886660i | ||||||
−0.462422 | + | 0.886660i | ||||||||
0 | 0 | |||||||||
−2.29107e6 | −0.399769 | |||||||||
−530531. | + | 918907.i | −0.0921159 | + | 0.159549i | |||||
0 | 0 | |||||||||
−469945. | − | 813968.i | −0.0807956 | − | 0.139942i | |||||
−5.29453e6 | + | 9.17040e6i | −0.905802 | + | 1.56889i | −0.0859643 | + | 0.996298i | ||
−0.819837 | + | 0.572596i | ||||||||
0 | 0 | |||||||||
−5.90829e6 | + | 6.90437e6i | −1.00094 | + | 1.16969i | |||||
−3.52190e6 | −0.593747 | |||||||||
0 | 0 | |||||||||
1.86819e6 | + | 3.23580e6i | 0.311899 | + | 0.540225i | |||||
−1.16660e6 | − | 2.02061e6i | −0.193822 | − | 0.335709i | |||||
0 | 0 | |||||||||
−539357. | −0.0887462 | |||||||||
−441554. | + | 515996.i | −0.0723036 | + | 0.0844932i | |||||
0 | 0 | |||||||||
1.14077e6 | − | 1.97588e6i | 0.185008 | − | 0.320443i | |||||
−2.27232e6 | − | 3.93578e6i | −0.366755 | − | 0.635238i | 0.622301 | − | 0.782778i | ||
−0.989056 | + | 0.147540i | ||||||||
0 | 0 | |||||||||
2.63599e6 | − | 4.56566e6i | 0.421394 | − | 0.729877i | −0.574682 | − | 0.818377i | ||
0.996076 | + | 0.0885004i | ||||||||
3.02772e6 | 0.481711 | |||||||||
0 | 0 | |||||||||
−2.49373e6 | −0.392993 | |||||||||
476504. | − | 825330.i | 0.0747378 | − | 0.129450i | |||||
0 | 0 | |||||||||
3.12756e6 | + | 5.41709e6i | 0.485921 | + | 0.841641i | |||||
2.69624e6 | − | 4.67003e6i | 0.416936 | − | 0.722154i | |||||
0 | 0 | |||||||||
1.17986e6 | + | 3.34196e6i | 0.180739 | + | 0.511943i | |||||
2.05048e6 | 0.312635 | |||||||||
0 | 0 | |||||||||
3.50676e6 | + | 6.07389e6i | 0.529690 | + | 0.917451i | |||||
−1.31037e6 | − | 2.26963e6i | −0.197008 | − | 0.341227i | |||||
0 | 0 | |||||||||
3.39647e6 | 0.505908 | |||||||||
−5.51755e6 | − | 2.13008e6i | −0.818040 | − | 0.315809i | |||||
0 | 0 | |||||||||
−2.96723e6 | + | 5.13939e6i | −0.435871 | + | 0.754950i | −0.997366 | − | 0.0725298i | ||
0.561496 | + | 0.827480i | ||||||||
−3.46209e6 | − | 5.99652e6i | −0.506221 | − | 0.876801i | |||||
0 | 0 | |||||||||
−1.09120e6 | + | 1.89001e6i | −0.158091 | + | 0.273821i | |||||
1.76122e7 | 2.53994 | |||||||||
0 | 0 | |||||||||
−8.82017e6 | −1.26040 | −0.630200 | − | 0.776433i | ||||||
−0.630200 | + | 0.776433i | ||||||||
256673. | − | 444571.i | 0.0365115 | − | 0.0632397i | |||||
0 | 0 | |||||||||
−4.04705e6 | − | 7.00970e6i | −0.570469 | − | 0.988081i | |||||
−5.85712e6 | + | 1.01448e7i | −0.821874 | + | 1.42353i | |||||
0 | 0 | |||||||||
3.45204e6 | + | 643206.i | 0.480024 | + | 0.0894411i | |||||
−6.86124e6 | −0.949791 | |||||||||
0 | 0 | |||||||||
−3.05538e6 | − | 5.29207e6i | −0.419158 | − | 0.726004i | |||||
−591120. | − | 1.02385e6i | −0.0807304 | − | 0.139829i | 0.822833 | − | 0.568283i | ||
−0.903564 | + | 0.428453i | ||||||||
0 | 0 | |||||||||
−535306. | −0.0724556 | |||||||||
−8.58111e6 | + | 1.00278e7i | −1.15631 | + | 1.35125i | |||||
0 | 0 | |||||||||
1.12734e6 | − | 1.95261e6i | 0.150561 | − | 0.260780i | |||||
2.03870e6 | + | 3.53114e6i | 0.271071 | + | 0.469509i | 0.969136 | − | 0.246525i | ||
−0.698065 | + | 0.716034i | ||||||||
0 | 0 | |||||||||
1.58321e6 | − | 2.74219e6i | 0.208649 | − | 0.361391i | |||||
−1.25514e7 | −1.64684 | |||||||||
0 | 0 | |||||||||
1.40990e6 | 0.183366 | |||||||||
4.08807e6 | − | 7.08075e6i | 0.529344 | − | 0.916851i | −0.470070 | − | 0.882629i | ||
0.999414 | − | 0.0342216i | ||||||||
0 | 0 | |||||||||
−1.65307e6 | − | 2.86321e6i | −0.212179 | − | 0.367504i | 0.740217 | − | 0.672368i | ||
−0.952396 | + | 0.304863i | ||||||||
−932292. | + | 1.61478e6i | −0.119141 | + | 0.206359i | |||||
0 | 0 | |||||||||
−6.34574e6 | − | 1.18238e6i | −0.803901 | − | 0.149788i | |||||
1.38247e6 | 0.174376 | |||||||||
0 | 0 | |||||||||
3.57497e6 | + | 6.19203e6i | 0.447026 | + | 0.774272i | 0.998191 | − | 0.0601245i | ||
−0.551165 | + | 0.834396i | ||||||||
−4.54324e6 | − | 7.86913e6i | −0.565648 | − | 0.979731i | |||||
0 | 0 | |||||||||
1.12876e7 | 1.39325 | |||||||||
3.44214e6 | + | 9.74986e6i | 0.423046 | + | 1.19828i | |||||
0 | 0 | |||||||||
1.67813e6 | − | 2.90661e6i | 0.204482 | − | 0.354173i | |||||
3.43418e6 | + | 5.94818e6i | 0.416669 | + | 0.721692i | |||||
0 | 0 | |||||||||
−5.81309e6 | + | 1.00686e7i | −0.699300 | + | 1.21122i | |||||
−9.69191e6 | −1.16095 | −0.580476 | − | 0.814277i | ||||||
−0.580476 | + | 0.814277i | ||||||||
0 | 0 | |||||||||
−3.87545e6 | −0.460292 | |||||||||
8.38886e6 | − | 1.45299e7i | 0.992139 | − | 1.71844i | |||||
0 | 0 | |||||||||
471621. | + | 816872.i | 0.0553081 | + | 0.0957965i | |||||
3.31980e6 | − | 5.75006e6i | 0.387682 | − | 0.671484i | −0.604456 | − | 0.796639i | ||
0.992137 | + | 0.125154i | ||||||||
0 | 0 | |||||||||
1.27500e6 | + | 3.61145e6i | 0.147645 | + | 0.418205i | |||||
6.45569e6 | 0.744435 | |||||||||
0 | 0 | |||||||||
−439742. | − | 761655.i | −0.0502857 | − | 0.0870974i | |||||
−1.62096e6 | − | 2.80758e6i | −0.184588 | − | 0.319716i | 0.758849 | − | 0.651266i | ||
−0.943438 | + | 0.331550i | ||||||||
0 | 0 | |||||||||
−5.65076e6 | −0.638147 | −0.319074 | − | 0.947730i | ||||||
−0.319074 | + | 0.947730i | ||||||||
1.65664e6 | + | 308676.i | 0.186310 | + | 0.0347145i | |||||
0 | 0 | |||||||||
3.25887e6 | − | 5.64453e6i | 0.363475 | − | 0.629557i | |||||
1.48539e6 | + | 2.57277e6i | 0.164988 | + | 0.285767i | |||||
0 | 0 | |||||||||
−117837. | + | 204100.i | −0.0129811 | + | 0.0224839i | −0.872443 | − | 0.488716i | ||
0.859462 | + | 0.511200i | ||||||||
8.87478e6 | 0.973641 | |||||||||
0 | 0 | |||||||||
2.62972e7 | 2.86144 | |||||||||
223529. | − | 387163.i | 0.0242231 | − | 0.0419557i | |||||
0 | 0 | |||||||||
−394438. | − | 683187.i | −0.0423963 | − | 0.0734325i | 0.844049 | − | 0.536267i | ||
−0.886445 | + | 0.462834i | ||||||||
−1.65358e6 | + | 2.86408e6i | −0.177012 | + | 0.306595i | |||||
0 | 0 | |||||||||
−2.90645e6 | + | 3.39645e6i | −0.308611 | + | 0.360640i | |||||
−1.67739e7 | −1.77387 | −0.886935 | − | 0.461894i | ||||||
−0.886935 | + | 0.461894i | ||||||||
0 | 0 | |||||||||
−4.11150e6 | − | 7.12132e6i | −0.431294 | − | 0.747023i | 0.565691 | − | 0.824617i | ||
−0.996985 | + | 0.0775941i | ||||||||
1.86714e6 | + | 3.23399e6i | 0.195074 | + | 0.337878i | |||||
0 | 0 | |||||||||
−1.72675e7 | −1.78959 | |||||||||
5.55386e6 | + | 1.03483e6i | 0.573290 | + | 0.106819i | |||||
0 | 0 | |||||||||
4.68399e6 | − | 8.11290e6i | 0.479640 | − | 0.830761i | |||||
8.57346e6 | + | 1.48497e7i | 0.874420 | + | 1.51454i | |||||
0 | 0 | |||||||||
−4.16818e6 | + | 7.21949e6i | −0.421742 | + | 0.730479i | |||||
273714. | 0.0275849 | |||||||||
0 | 0 | |||||||||
−5.94507e6 | −0.594406 | −0.297203 | − | 0.954814i | ||||||
−0.297203 | + | 0.954814i | ||||||||
1.32702e6 | − | 2.29846e6i | 0.132155 | − | 0.228899i | |||||
0 | 0 | |||||||||
−6.64403e6 | − | 1.15078e7i | −0.656460 | − | 1.13702i | |||||
−2.06515e6 | + | 3.57695e6i | −0.203244 | + | 0.352029i | |||||
0 | 0 | |||||||||
3.81569e6 | − | 3.07785e6i | 0.372585 | − | 0.300537i | |||||
1.94011e7 | 1.88701 | |||||||||
0 | 0 | |||||||||
7.26120e6 | + | 1.25768e7i | 0.700743 | + | 1.21372i | |||||
−5.33804e6 | − | 9.24576e6i | −0.513141 | − | 0.888786i | −0.999884 | − | 0.0152411i | ||
0.486743 | − | 0.873545i | ||||||||
0 | 0 | |||||||||
−3.13159e6 | −0.298701 | −0.149351 | − | 0.988784i | ||||||
−0.149351 | + | 0.988784i | ||||||||
333757. | + | 945367.i | 0.0317114 | + | 0.0898227i | |||||
0 | 0 | |||||||||
1.97232e6 | − | 3.41616e6i | 0.185950 | − | 0.322075i | |||||
−2.46728e6 | − | 4.27346e6i | −0.231717 | − | 0.401346i | 0.726596 | − | 0.687065i | ||
−0.958314 | + | 0.285719i | ||||||||
0 | 0 | |||||||||
5.22120e6 | − | 9.04339e6i | 0.486585 | − | 0.842790i | |||||
6.70897e6 | 0.622834 | |||||||||
0 | 0 | |||||||||
9.12710e6 | 0.840841 | |||||||||
2.86112e6 | − | 4.95561e6i | 0.262575 | − | 0.454793i | −0.704351 | − | 0.709852i | ||
0.966925 | + | 0.255059i | ||||||||
0 | 0 | |||||||||
−6.65258e6 | − | 1.15226e7i | −0.605881 | − | 1.04942i | |||||
−4.48261e6 | + | 7.76411e6i | −0.406698 | + | 0.704421i | |||||
0 | 0 | |||||||||
−915018. | + | 1.06928e6i | −0.0823881 | + | 0.0962779i | |||||
−362477. | −0.0325137 | −0.0162569 | − | 0.999868i | ||||||
−0.0162569 | + | 0.999868i | ||||||||
0 | 0 | |||||||||
9.56053e6 | + | 1.65593e7i | 0.851096 | + | 1.47414i | 0.880220 | + | 0.474565i | ||
−0.0291249 | + | 0.999576i | ||||||||
−3.83566e6 | − | 6.64356e6i | −0.340170 | − | 0.589191i | |||||
0 | 0 | |||||||||
7.81494e6 | 0.687868 | |||||||||
1.01261e7 | − | 1.18333e7i | 0.887950 | − | 1.03765i | |||||
0 | 0 | |||||||||
−1.65685e6 | + | 2.86975e6i | −0.144201 | + | 0.249764i | |||||
−6.14587e6 | − | 1.06450e7i | −0.532896 | − | 0.923003i | |||||
0 | 0 | |||||||||
7.56111e6 | − | 1.30962e7i | 0.650727 | − | 1.12709i | |||||
1.63673e7 | 1.40337 | |||||||||
0 | 0 | |||||||||
−573374. | −0.0487978 | −0.0243989 | − | 0.999702i | ||||||
−0.0243989 | + | 0.999702i | ||||||||
−9.18864e6 | + | 1.59152e7i | −0.779115 | + | 1.34947i | |||||
0 | 0 | |||||||||
2.59962e6 | + | 4.50267e6i | 0.218798 | + | 0.378968i | |||||
5.84516e6 | − | 1.01241e7i | 0.490146 | − | 0.848957i | −0.509790 | − | 0.860299i | ||
0.999936 | + | 0.0113419i | ||||||||
0 | 0 | |||||||||
4.46148e6 | + | 1.26371e7i | 0.371368 | + | 1.05190i | |||||
2.89473e6 | 0.240069 | |||||||||
0 | 0 | |||||||||
3.20925e6 | + | 5.55858e6i | 0.264206 | + | 0.457618i | |||||
9.18370e6 | + | 1.59066e7i | 0.753297 | + | 1.30475i | 0.946217 | + | 0.323534i | ||
−0.192920 | + | 0.981214i | ||||||||
0 | 0 | |||||||||
−2.25588e6 | −0.183692 | |||||||||
−1.35834e7 | + | 7.32492e6i | −1.10204 | + | 0.594282i | |||||
0 | 0 | |||||||||
1.17025e6 | − | 2.02693e6i | 0.0942554 | − | 0.163255i | |||||
1.39096e6 | + | 2.40921e6i | 0.111626 | + | 0.193342i | |||||
0 | 0 | |||||||||
−1.17806e7 | + | 2.04045e7i | −0.938579 | + | 1.62567i | −0.170454 | + | 0.985366i | ||
−0.768125 | + | 0.640300i | ||||||||
4.52612e6 | 0.359303 | |||||||||
0 | 0 | |||||||||
−1.32484e7 | −1.04415 | |||||||||
−1.34267e7 | + | 2.32558e7i | −1.05441 | + | 1.82629i | |||||
0 | 0 | |||||||||
1.30078e6 | + | 2.25303e6i | 0.101420 | + | 0.175665i | |||||
−5.72587e6 | + | 9.91750e6i | −0.444839 | + | 0.770484i | |||||
0 | 0 | |||||||||
−7.51839e6 | − | 1.40087e6i | −0.579935 | − | 0.108057i | |||||
−1.32980e7 | −1.02210 | −0.511048 | − | 0.859552i | ||||||
−0.511048 | + | 0.859552i | ||||||||
0 | 0 | |||||||||
−556535. | − | 963946.i | −0.0424721 | − | 0.0735639i | |||||
−168605. | − | 292033.i | −0.0128215 | − | 0.0222075i | |||||
0 | 0 | |||||||||
−4.09600e6 | −0.309277 | |||||||||
−2.41913e6 | + | 2.82697e6i | −0.182016 | + | 0.212703i | |||||
0 | 0 | |||||||||
3.42677e6 | − | 5.93533e6i | 0.256017 | − | 0.443434i | −0.709154 | − | 0.705053i | ||
0.965171 | + | 0.261619i | ||||||||
4.06770e6 | + | 7.04547e6i | 0.302833 | + | 0.524522i | |||||
0 | 0 | |||||||||
2.13499e6 | − | 3.69791e6i | 0.157832 | − | 0.273374i | |||||
−1.09628e6 | −0.0807602 | |||||||||
0 | 0 | |||||||||
8.19384e6 | 0.599408 | |||||||||
1.26485e6 | − | 2.19078e6i | 0.0922051 | − | 0.159704i | |||||
0 | 0 | |||||||||
6.97008e6 | + | 1.20725e7i | 0.504576 | + | 0.873951i | |||||
1.32865e7 | − | 2.30128e7i | 0.958490 | − | 1.66015i | 0.232318 | − | 0.972640i | ||
0.726172 | − | 0.687513i | ||||||||
0 | 0 | |||||||||
−3.72505e6 | − | 694075.i | −0.266866 | − | 0.0497242i | |||||
1.49658e6 | 0.106846 | |||||||||
0 | 0 | |||||||||
−2.78156e6 | − | 4.81781e6i | −0.197216 | − | 0.341588i | |||||
−1.26390e7 | − | 2.18913e7i | −0.893031 | − | 1.54678i | |||||
0 | 0 | |||||||||
2.16991e6 | 0.152267 | 0.0761335 | − | 0.997098i | ||||||
0.0761335 | + | 0.997098i | ||||||||
−1.23351e6 | − | 3.49393e6i | −0.0862612 | − | 0.244335i | |||||
0 | 0 | |||||||||
−1.98159e7 | + | 3.43221e7i | −1.37628 | + | 2.38379i | |||||
−339587. | − | 588182.i | −0.0235049 | − | 0.0407116i | |||||
0 | 0 | |||||||||
8.73265e6 | − | 1.51254e7i | 0.600324 | − | 1.03979i | −0.392447 | − | 0.919774i | ||
0.992772 | − | 0.120018i | ||||||||
−1.54016e7 | −1.05518 | |||||||||
0 | 0 | |||||||||
2.51048e6 | 0.170829 | |||||||||
4.70602e6 | − | 8.15106e6i | 0.319143 | − | 0.552771i | |||||
0 | 0 | |||||||||
6.82304e6 | + | 1.18178e7i | 0.459586 | + | 0.796026i | 0.998939 | − | 0.0460536i | ||
−0.539353 | + | 0.842080i | ||||||||
−536264. | + | 928836.i | −0.0359997 | + | 0.0623533i | |||||
0 | 0 | |||||||||
−2.91544e6 | − | 8.25798e6i | −0.194399 | − | 0.550635i | |||||
−1.48965e7 | −0.989944 | −0.494972 | − | 0.868909i | ||||||
−0.494972 | + | 0.868909i | ||||||||
0 | 0 | |||||||||
−1.41846e7 | − | 2.45685e7i | −0.936326 | − | 1.62176i | |||||
4.90396e6 | + | 8.49390e6i | 0.322626 | + | 0.558805i | |||||
0 | 0 | |||||||||
−2.36571e6 | −0.154599 | |||||||||
1.11974e7 | + | 2.08637e6i | 0.729311 | + | 0.135890i | |||||
0 | 0 | |||||||||
1.26731e7 | − | 2.19505e7i | 0.819944 | − | 1.42019i | −0.0857783 | − | 0.996314i | ||
0.905723 | − | 0.423871i | ||||||||
977324. | + | 1.69277e6i | 0.0630222 | + | 0.109158i | |||||
0 | 0 | |||||||||
−8.04049e6 | + | 1.39265e7i | −0.515056 | + | 0.892102i | |||||
−2.86419e7 | −1.82867 | |||||||||
0 | 0 | |||||||||
−2.66725e7 | −1.69170 | −0.845852 | − | 0.533417i | ||||||
−0.845852 | + | 0.533417i | ||||||||
1.19412e7 | − | 2.06828e7i | 0.754875 | − | 1.30748i | |||||
0 | 0 | |||||||||
−5.88577e6 | − | 1.01945e7i | −0.369632 | − | 0.640221i | |||||
289914. | − | 502146.i | 0.0181471 | − | 0.0314318i | −0.856809 | − | 0.515634i | ||
0.874956 | + | 0.484202i | ||||||||
0 | 0 | |||||||||
1.85967e7 | − | 2.17319e7i | 1.15644 | − | 1.35141i | |||||
−4.13255e6 | −0.256144 | |||||||||
0 | 0 | |||||||||
−1.16179e7 | − | 2.01227e7i | −0.715408 | − | 1.23912i | |||||
4.32770e6 | + | 7.49580e6i | 0.265625 | + | 0.460076i | |||||
0 | 0 | |||||||||
1.52438e7 | 0.929562 | 0.464781 | − | 0.885426i | ||||||
0.464781 | + | 0.885426i | ||||||||
−2.53579e7 | − | 4.72485e6i | −1.54130 | − | 0.287185i | |||||
0 | 0 | |||||||||
6.10702e6 | − | 1.05777e7i | 0.368796 | − | 0.638773i | |||||
−9.74628e6 | − | 1.68810e7i | −0.586665 | − | 1.01613i | −0.994666 | − | 0.103152i | ||
0.408001 | − | 0.912982i | ||||||||
0 | 0 | |||||||||
4.18138e6 | − | 7.24236e6i | 0.250072 | − | 0.433137i | |||||
1.01292e7 | 0.603839 | |||||||||
0 | 0 | |||||||||
−2.08807e7 | −1.23679 | |||||||||
5.28969e6 | − | 9.16201e6i | 0.312311 | − | 0.540938i | |||||
0 | 0 | |||||||||
2.53173e6 | + | 4.38508e6i | 0.148521 | + | 0.257247i | |||||
557927. | − | 966358.i | 0.0326257 | − | 0.0565094i | |||||
0 | 0 | |||||||||
3.31262e6 | + | 2.11766e7i | 0.192478 | + | 1.23046i | |||||
3.66337e7 | 2.12181 | |||||||||
0 | 0 | |||||||||
−6.81384e6 | − | 1.18019e7i | −0.392153 | − | 0.679228i | 0.600580 | − | 0.799564i | ||
−0.992733 | + | 0.120336i | ||||||||
−11651.0 | − | 20180.1i | −0.000668416 | − | 0.00115773i | |||||
0 | 0 | |||||||||
1.53143e7 | 0.873031 | |||||||||
−1.71192e6 | − | 4.84900e6i | −0.0972839 | − | 0.275557i | |||||
0 | 0 | |||||||||
−6.78320e6 | + | 1.17488e7i | −0.383046 | + | 0.663456i | |||||
−245312. | − | 424893.i | −0.0138092 | − | 0.0239182i | |||||
0 | 0 | |||||||||
−3.35061e6 | + | 5.80343e6i | −0.187431 | + | 0.324640i | |||||
−3.62853e6 | −0.202341 | −0.101171 | − | 0.994869i | ||||||
−0.101171 | + | 0.994869i | ||||||||
0 | 0 | |||||||||
567208. | 0.0314323 | |||||||||
−9.57537e6 | + | 1.65850e7i | −0.528969 | + | 0.916202i | |||||
0 | 0 | |||||||||
1.18561e7 | + | 2.05353e7i | 0.650885 | + | 1.12737i | |||||
−1.23334e7 | + | 2.13620e7i | −0.674983 | + | 1.16910i | |||||
0 | 0 | |||||||||
2.86446e6 | − | 3.34737e6i | 0.155795 | − | 0.182060i | |||||
−5.32010e6 | −0.288458 | |||||||||
0 | 0 | |||||||||
1.40611e6 | + | 2.43546e6i | 0.0757691 | + | 0.131236i | |||||
1.49390e7 | + | 2.58751e7i | 0.802509 | + | 1.38999i | 0.917960 | + | 0.396673i | ||
−0.115451 | + | 0.993313i | ||||||||
0 | 0 | |||||||||
−1.02643e6 | −0.0547995 | −0.0273998 | − | 0.999625i | ||||||
−0.0273998 | + | 0.999625i | ||||||||
1.19185e7 | − | 1.39278e7i | 0.634354 | − | 0.741299i | |||||
0 | 0 | |||||||||
−921730. | + | 1.59648e6i | −0.0487576 | + | 0.0844507i | |||||
−2.00543e7 | − | 3.47351e7i | −1.05758 | − | 1.83178i | |||||
0 | 0 | |||||||||
−1.38094e6 | + | 2.39187e6i | −0.0723804 | + | 0.125367i | |||||
−2.06262e7 | −1.07779 | |||||||||
0 | 0 | |||||||||
−1.01940e7 | −0.529434 | |||||||||
−5.75312e6 | + | 9.96470e6i | −0.297883 | + | 0.515948i | −0.975651 | − | 0.219327i | ||
0.677768 | + | 0.735275i | ||||||||
0 | 0 | |||||||||
1.25605e7 | + | 2.17554e7i | 0.646408 | + | 1.11961i | 0.983974 | + | 0.178310i | ||
−0.337566 | + | 0.941302i | ||||||||
−1.43197e6 | + | 2.48024e6i | −0.0734708 | + | 0.127255i | |||||
0 | 0 | |||||||||
−9.07084e6 | − | 2.56932e7i | −0.462591 | − | 1.31029i | |||||
2.14447e6 | 0.109032 | 0.0545162 | − | 0.998513i | ||||||
0.0545162 | + | 0.998513i | ||||||||
0 | 0 | |||||||||
−409033. | − | 708465.i | −0.0206715 | − | 0.0358041i | 0.855505 | − | 0.517795i | ||
−0.876176 | + | 0.481991i | ||||||||
2.25469e7 | + | 3.90523e7i | 1.13603 | + | 1.96767i | |||||
0 | 0 | |||||||||
279504. | 0.0139984 | |||||||||
5.80247e6 | + | 2.24008e6i | 0.289735 | + | 0.111854i | |||||
0 | 0 | |||||||||
−2.70078e7 | + | 4.67788e7i | −1.34052 | + | 2.32184i | |||||
4.81013e6 | + | 8.33138e6i | 0.238035 | + | 0.412289i | |||||
0 | 0 | |||||||||
1.63740e7 | − | 2.83606e7i | 0.805460 | − | 1.39510i | |||||
2.11279e7 | 1.03622 | 0.518110 | − | 0.855314i | ||||||
0.518110 | + | 0.855314i | ||||||||
0 | 0 | |||||||||
4.00785e7 | 1.95398 | |||||||||
−9.31533e6 | + | 1.61346e7i | −0.452812 | + | 0.784294i | |||||
0 | 0 | |||||||||
−4.56107e6 | − | 7.90001e6i | −0.220400 | − | 0.381743i | |||||
1.14239e7 | − | 1.97868e7i | 0.550393 | − | 0.953308i | |||||
0 | 0 | |||||||||
4.74298e6 | + | 883742.i | 0.227166 | + | 0.0423269i | |||||
−1.21632e7 | −0.580844 | |||||||||
0 | 0 | |||||||||
4.25604e6 | + | 7.37167e6i | 0.202050 | + | 0.349960i | |||||
−157432. | − | 272679.i | −0.00745191 | − | 0.0129071i | |||||
0 | 0 | |||||||||
−1.89000e7 | −0.889386 | −0.444693 | − | 0.895683i | ||||||
−0.444693 | + | 0.895683i | ||||||||
2.77671e7 | − | 3.24484e7i | 1.30283 | − | 1.52247i | |||||
0 | 0 | |||||||||
4.30446e6 | − | 7.45554e6i | 0.200786 | − | 0.347772i | |||||
1.86143e7 | + | 3.22409e7i | 0.865753 | + | 1.49953i | 0.866297 | + | 0.499529i | ||
−0.000544054 | 1.00000i | |||||||||
0 | 0 | |||||||||
−1.51032e6 | + | 2.61595e6i | −0.0698371 | + | 0.120961i | −0.898829 | − | 0.438298i | ||
0.828992 | + | 0.559260i | ||||||||
2.66129e6 | 0.122700 | |||||||||
0 | 0 | |||||||||
5.34131e7 | 2.44838 | |||||||||
−1.35921e7 | + | 2.35423e7i | −0.621242 | + | 1.07602i | 0.368013 | + | 0.929821i | ||
−0.989255 | + | 0.146202i | ||||||||
0 | 0 | |||||||||
−9.94493e6 | − | 1.72251e7i | −0.451920 | − | 0.782748i | |||||
2.06660e7 | − | 3.57946e7i | 0.936400 | − | 1.62189i | |||||
0 | 0 | |||||||||
5.96196e6 | + | 1.11087e6i | 0.268590 | + | 0.0500454i | |||||
9.53158e6 | 0.428169 | |||||||||
0 | 0 | |||||||||
3.90068e6 | + | 6.75618e6i | 0.174219 | + | 0.301756i | |||||
−1.08093e7 | − | 1.87222e7i | −0.481399 | − | 0.833807i | |||||
0 | 0 | |||||||||
−4.53766e6 | −0.200934 | |||||||||
421871. | + | 1.19495e6i | 0.0186277 | + | 0.0527630i | |||||
0 | 0 | |||||||||
−8.69339e6 | + | 1.50574e7i | −0.381672 | + | 0.661075i | −0.991301 | − | 0.131611i | ||
0.609629 | + | 0.792687i | ||||||||
595320. | + | 1.03112e6i | 0.0260624 | + | 0.0451414i | |||||
0 | 0 | |||||||||
−1.79128e7 | + | 3.10258e7i | −0.779751 | + | 1.35057i | |||||
8.14472e6 | 0.353538 | 0.176769 | − | 0.984252i | ||||||
0.176769 | + | 0.984252i | ||||||||
0 | 0 | |||||||||
−3.10298e7 | −1.33930 | −0.669649 | − | 0.742678i | ||||||
−0.669649 | + | 0.742678i | ||||||||
980435. | − | 1.69816e6i | 0.0421976 | − | 0.0730884i | |||||
0 | 0 | |||||||||
1.00629e7 | + | 1.74294e7i | 0.430664 | + | 0.745931i | |||||
−7.35138e6 | + | 1.27330e7i | −0.313733 | + | 0.543401i | −0.979167 | − | 0.203055i | ||
0.665435 | + | 0.746456i | ||||||||
0 | 0 | |||||||||
2.23304e6 | + | 6.32509e6i | 0.0947638 | + | 0.268419i | |||||
2.46386e7 | 1.04266 | |||||||||
0 | 0 | |||||||||
1.06566e7 | + | 1.84578e7i | 0.448443 | + | 0.776726i | |||||
−1.15329e6 | − | 1.99755e6i | −0.0483959 | − | 0.0838242i | |||||
0 | 0 | |||||||||
−1.11166e7 | −0.463890 | |||||||||
2.31857e7 | + | 4.32010e6i | 0.964827 | + | 0.179773i | |||||
0 | 0 | |||||||||
5.01344e6 | − | 8.68354e6i | 0.207465 | − | 0.359340i | |||||
1.00225e7 | + | 1.73595e7i | 0.413596 | + | 0.716370i | |||||
0 | 0 | |||||||||
−1.76479e6 | + | 3.05671e6i | −0.0724238 | + | 0.125442i | |||||
−1.75215e7 | −0.717060 | |||||||||
0 | 0 | |||||||||
−3.88669e6 | −0.158183 | |||||||||
−1.22235e7 | + | 2.11716e7i | −0.496104 | + | 0.859277i | |||||
0 | 0 | |||||||||
−6.54701e6 | − | 1.13398e7i | −0.264256 | − | 0.457705i | 0.703112 | − | 0.711079i | ||
−0.967368 | + | 0.253374i | ||||||||
−8.26675e6 | + | 1.43184e7i | −0.332752 | + | 0.576343i | |||||
0 | 0 | |||||||||
1.39008e7 | − | 1.62444e7i | 0.556464 | − | 0.650278i | |||||
−2.68695e7 | −1.07266 | −0.536332 | − | 0.844007i | ||||||
−0.536332 | + | 0.844007i | ||||||||
0 | 0 | |||||||||
1.40331e7 | + | 2.43061e7i | 0.557156 | + | 0.965023i | |||||
5.51490e6 | + | 9.55209e6i | 0.218360 | + | 0.378210i | |||||
0 | 0 | |||||||||
9.48103e6 | 0.373351 | |||||||||
−2.12423e7 | − | 3.95800e6i | −0.834215 | − | 0.155436i | |||||
0 | 0 | |||||||||
−636586. | + | 1.10260e6i | −0.0248638 | + | 0.0430654i | −0.878190 | − | 0.478313i | ||
0.853326 | + | 0.521378i | ||||||||
−1.66496e6 | − | 2.88379e6i | −0.0648535 | − | 0.112330i | |||||
0 | 0 | |||||||||
1.57714e7 | − | 2.73168e7i | 0.611001 | − | 1.05828i | |||||
−4.19695e6 | −0.162155 | |||||||||
0 | 0 | |||||||||
2.40187e6 | 0.0922986 | |||||||||
1.74329e7 | − | 3.01947e7i | 0.668102 | − | 1.15719i | |||||
0 | 0 | |||||||||
−2.29516e7 | − | 3.97533e7i | −0.874867 | − | 1.51531i | |||||
−4.65852e6 | + | 8.06880e6i | −0.177096 | + | 0.306740i | −0.940885 | − | 0.338727i | ||
0.763789 | + | 0.645467i | ||||||||
0 | 0 | |||||||||
−3.90905e6 | − | 2.49894e7i | −0.147808 | − | 0.944890i | |||||
1.89428e7 | 0.714338 | |||||||||
0 | 0 | |||||||||
−1.80288e7 | − | 3.12268e7i | −0.676239 | − | 1.17128i | |||||
5.19801e6 | + | 9.00322e6i | 0.194450 | + | 0.336797i | |||||
0 | 0 | |||||||||
1.18158e7 | 0.439657 | 0.219829 | − | 0.975539i | ||||||
0.219829 | + | 0.975539i | ||||||||
−8.17581e6 | − | 2.31580e7i | −0.303406 | − | 0.859397i | |||||
0 | 0 | |||||||||
−1.11128e6 | + | 1.92479e6i | −0.0410208 | + | 0.0710501i | |||||
−1.26765e7 | − | 2.19563e7i | −0.466685 | − | 0.808323i | 0.532591 | − | 0.846373i | ||
−0.999276 | + | 0.0380504i | ||||||||
0 | 0 | |||||||||
1.49634e6 | − | 2.59173e6i | 0.0547962 | − | 0.0949098i | |||||
−3.78436e7 | −1.38217 | |||||||||
0 | 0 | |||||||||
4.57422e6 | 0.166184 | |||||||||
1.32471e7 | − | 2.29446e7i | 0.480004 | − | 0.831391i | −0.519733 | − | 0.854329i | ||
0.999737 | + | 0.0229375i | ||||||||
0 | 0 | |||||||||
−1.02228e7 | − | 1.77063e7i | −0.368471 | − | 0.638210i | |||||
1.73073e7 | − | 2.99772e7i | 0.622187 | − | 1.07766i | |||||
0 | 0 | |||||||||
3.05654e6 | − | 3.57184e6i | 0.109304 | − | 0.127732i | |||||
1.88335e7 | 0.671735 | 0.335868 | − | 0.941909i | ||||||
0.335868 | + | 0.941909i | ||||||||
0 | 0 | |||||||||
9.08015e6 | + | 1.57273e7i | 0.322170 | + | 0.558014i | |||||
−1.39373e7 | − | 2.41401e7i | −0.493211 | − | 0.854267i | |||||
0 | 0 | |||||||||
−5.87929e7 | −2.06972 | |||||||||
−2.38198e6 | + | 2.78355e6i | −0.0836355 | + | 0.0977356i | |||||
0 | 0 | |||||||||
1.09988e7 | − | 1.90505e7i | 0.384182 | − | 0.665423i | |||||
−763995. | − | 1.32328e6i | −0.0266166 | − | 0.0461013i | |||||
0 | 0 | |||||||||
9.15159e6 | − | 1.58510e7i | 0.317179 | − | 0.549370i | |||||
−5.36740e7 | −1.85544 | |||||||||
0 | 0 | |||||||||
−3.14956e7 | −1.08314 | −0.541569 | − | 0.840656i | ||||||
−0.541569 | + | 0.840656i | ||||||||
1.82328e6 | − | 3.15801e6i | 0.0625409 | − | 0.108324i | |||||
0 | 0 | |||||||||
2.92238e7 | + | 5.06171e7i | 0.997257 | + | 1.72730i | |||||
−3.42834e6 | + | 5.93806e6i | −0.116691 | + | 0.202114i | −0.918454 | − | 0.395527i | ||
0.801764 | + | 0.597641i | ||||||||
0 | 0 | |||||||||
1.45183e7 | + | 4.11231e7i | 0.491624 | + | 1.39253i | |||||
−6.11527e7 | −2.06547 | |||||||||
0 | 0 | |||||||||
−2.96579e7 | − | 5.13689e7i | −0.996587 | − | 1.72614i | |||||
1.40735e7 | + | 2.43761e7i | 0.471701 | + | 0.817010i | 0.999476 | − | 0.0323741i | ||
−0.527775 | + | 0.849384i | ||||||||
0 | 0 | |||||||||
1.53350e7 | 0.511361 | |||||||||
−1.89699e7 | + | 1.53016e7i | −0.630956 | + | 0.508947i | |||||
0 | 0 | |||||||||
−336571. | + | 582958.i | −0.0111378 | + | 0.0192912i | |||||
1.17458e7 | + | 2.03443e7i | 0.387703 | + | 0.671521i | 0.992140 | − | 0.125132i | ||
−0.604437 | + | 0.796653i | ||||||||
0 | 0 | |||||||||
−51199.7 | + | 88680.5i | −0.00168142 | + | 0.00291231i | |||||
−2.04029e7 | −0.668343 | |||||||||
0 | 0 | |||||||||
−7.97395e6 | −0.259885 | |||||||||
−390639. | + | 676607.i | −0.0126995 | + | 0.0219961i | |||||
0 | 0 | |||||||||
1.07206e6 | + | 1.85686e6i | 0.0346765 | + | 0.0600615i | 0.882843 | − | 0.469669i | ||
−0.848166 | + | 0.529730i | ||||||||
7.59311e6 | − | 1.31517e7i | 0.244986 | − | 0.424327i | |||||
0 | 0 | |||||||||
1.29885e7 | + | 2.42011e6i | 0.416960 | + | 0.0776906i | |||||
2.94483e7 | 0.942979 | |||||||||
0 | 0 | |||||||||
−1.25436e7 | − | 2.17261e7i | −0.399654 | − | 0.692220i | 0.594029 | − | 0.804443i | ||
−0.993683 | + | 0.112223i | ||||||||
7.58576e6 | + | 1.31389e7i | 0.241086 | + | 0.417574i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 63.6.e.d.37.2 | 4 | ||
3.2 | odd | 2 | 7.6.c.a.2.1 | ✓ | 4 | ||
7.2 | even | 3 | 441.6.a.n.1.1 | 2 | |||
7.4 | even | 3 | inner | 63.6.e.d.46.2 | 4 | ||
7.5 | odd | 6 | 441.6.a.m.1.1 | 2 | |||
12.11 | even | 2 | 112.6.i.c.65.1 | 4 | |||
21.2 | odd | 6 | 49.6.a.d.1.2 | 2 | |||
21.5 | even | 6 | 49.6.a.e.1.2 | 2 | |||
21.11 | odd | 6 | 7.6.c.a.4.1 | yes | 4 | ||
21.17 | even | 6 | 49.6.c.f.18.1 | 4 | |||
21.20 | even | 2 | 49.6.c.f.30.1 | 4 | |||
84.11 | even | 6 | 112.6.i.c.81.1 | 4 | |||
84.23 | even | 6 | 784.6.a.ba.1.2 | 2 | |||
84.47 | odd | 6 | 784.6.a.t.1.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
7.6.c.a.2.1 | ✓ | 4 | 3.2 | odd | 2 | ||
7.6.c.a.4.1 | yes | 4 | 21.11 | odd | 6 | ||
49.6.a.d.1.2 | 2 | 21.2 | odd | 6 | |||
49.6.a.e.1.2 | 2 | 21.5 | even | 6 | |||
49.6.c.f.18.1 | 4 | 21.17 | even | 6 | |||
49.6.c.f.30.1 | 4 | 21.20 | even | 2 | |||
63.6.e.d.37.2 | 4 | 1.1 | even | 1 | trivial | ||
63.6.e.d.46.2 | 4 | 7.4 | even | 3 | inner | ||
112.6.i.c.65.1 | 4 | 12.11 | even | 2 | |||
112.6.i.c.81.1 | 4 | 84.11 | even | 6 | |||
441.6.a.m.1.1 | 2 | 7.5 | odd | 6 | |||
441.6.a.n.1.1 | 2 | 7.2 | even | 3 | |||
784.6.a.t.1.1 | 2 | 84.47 | odd | 6 | |||
784.6.a.ba.1.2 | 2 | 84.23 | even | 6 |