Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [40,5,Mod(19,40)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(40, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("40.19");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 40.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: | |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 19.9 | ||
Root | of defining polynomial | ||
Character | 40.19 | ||
Dual form | 40.5.e.c.19.10 |
-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 .
−0.495691 | − | 3.96917i | −0.123923 | − | 0.992292i | |||||
10.2033i | 1.13370i | 0.823821 | + | 0.566850i | ||||||
−0.823821 | + | 0.566850i | ||||||||
−15.5086 | + | 3.93496i | −0.969286 | + | 0.245935i | |||||
17.9141 | − | 17.4381i | 0.716563 | − | 0.697522i | |||||
40.4986 | − | 5.05768i | 1.12496 | − | 0.140491i | |||||
84.8600 | 1.73184 | 0.865919 | − | 0.500185i | ||||||
0.865919 | + | 0.500185i | ||||||||
23.3060 | + | 59.6056i | 0.364156 | + | 0.931338i | |||||
−23.1073 | −0.285275 | |||||||||
−78.0944 | − | 62.4601i | −0.780944 | − | 0.624601i | |||||
71.3055 | 0.589301 | 0.294651 | − | 0.955605i | ||||||
0.294651 | + | 0.955605i | ||||||||
−40.1496 | − | 158.239i | −0.278816 | − | 1.09888i | |||||
−109.279 | −0.646623 | −0.323311 | − | 0.946293i | ||||||
−0.323311 | + | 0.946293i | ||||||||
−42.0643 | − | 336.824i | −0.214614 | − | 1.71849i | |||||
177.926 | + | 182.783i | 0.790781 | + | 0.812367i | |||||
225.032 | − | 122.051i | 0.879032 | − | 0.476763i | |||||
151.344i | 0.523681i | 0.965111 | + | 0.261840i | ||||||
−0.965111 | + | 0.261840i | ||||||||
11.4541 | + | 91.7167i | 0.0353521 | + | 0.283076i | |||||
−368.470 | −1.02069 | −0.510346 | − | 0.859969i | ||||||
−0.510346 | + | 0.859969i | ||||||||
−209.204 | + | 340.931i | −0.523009 | + | 0.852327i | |||||
865.852i | 1.96338i | |||||||||
−35.3455 | − | 283.023i | −0.0730278 | − | 0.584759i | |||||
358.031 | 0.676807 | 0.338403 | − | 0.941001i | ||||||
0.338403 | + | 0.941001i | ||||||||
−608.174 | + | 237.798i | −1.05586 | + | 0.412843i | |||||
16.8280 | − | 624.773i | 0.0269248 | − | 0.999637i | |||||
54.1687 | + | 433.748i | 0.0801312 | + | 0.641639i | |||||
590.697i | 0.810283i | |||||||||
−1316.06 | + | 333.921i | −1.67865 | + | 0.425919i | |||||
387.610i | 0.460892i | 0.973085 | + | 0.230446i | ||||||
−0.973085 | + | 0.230446i | ||||||||
637.299 | − | 796.821i | 0.708110 | − | 0.885356i | |||||
− | 1687.73i | − | 1.75622i | −0.478457 | − | 0.878111i | ||||
0.478457 | − | 0.878111i | ||||||||
−595.988 | − | 832.691i | −0.582020 | − | 0.813175i | |||||
727.551i | 0.668091i | |||||||||
600.709 | − | 75.0197i | 0.519644 | − | 0.0648960i | |||||
1520.19 | − | 1479.79i | 1.24097 | − | 1.20800i | |||||
358.361 | − | 90.9262i | 0.276513 | − | 0.0701591i | |||||
−1158.77 | −0.846434 | −0.423217 | − | 0.906028i | ||||||
−0.423217 | + | 0.906028i | ||||||||
182.647 | + | 1462.52i | 0.126487 | + | 1.01283i | |||||
− | 1115.01i | − | 0.733076i | |||||||
1456.91 | + | 661.369i | 0.910570 | + | 0.413355i | |||||
−2545.99 | −1.51457 | −0.757285 | − | 0.653084i | ||||||
−0.757285 | + | 0.653084i | ||||||||
3436.71 | − | 429.195i | 1.94825 | − | 0.243308i | |||||
1354.04i | 0.732308i | 0.930554 | + | 0.366154i | ||||||
−0.930554 | + | 0.366154i | ||||||||
−1105.85 | + | 280.584i | −0.571202 | + | 0.144930i | |||||
−413.946 | + | 402.946i | −0.204418 | + | 0.198986i | |||||
−177.473 | − | 1421.08i | −0.0838717 | − | 0.671590i | |||||
901.424 | 0.408069 | 0.204034 | − | 0.978964i | ||||||
0.204034 | + | 0.978964i | ||||||||
1245.33 | + | 2296.07i | 0.540506 | + | 0.996558i | |||||
4800.23 | 1.99926 | |||||||||
−2488.17 | + | 242.901i | −0.995269 | + | 0.0971605i | |||||
−1544.21 | −0.593697 | |||||||||
1694.77 | − | 430.009i | 0.626763 | − | 0.159027i | |||||
−3409.47 | −1.21377 | −0.606883 | − | 0.794791i | ||||||
−0.606883 | + | 0.794791i | ||||||||
2344.57 | − | 292.803i | 0.804038 | − | 0.100413i | |||||
1277.37 | − | 1243.43i | 0.422271 | − | 0.411051i | |||||
1977.75 | + | 5058.14i | 0.630659 | + | 1.61293i | |||||
− | 3759.61i | − | 1.15716i | |||||||
1538.49 | − | 192.135i | 0.457339 | − | 0.0571150i | |||||
−1454.37 | −0.417803 | −0.208902 | − | 0.977937i | ||||||
−0.208902 | + | 0.977937i | ||||||||
−3478.62 | − | 2134.57i | −0.966283 | − | 0.592936i | |||||
− | 5324.84i | − | 1.43102i | −0.698601 | − | 0.715512i | ||||
0.698601 | − | 0.715512i | ||||||||
−6698.88 | + | 836.592i | −1.74268 | + | 0.217636i | |||||
−1960.88 | −0.494050 | |||||||||
−3009.66 | + | 2778.33i | −0.734781 | + | 0.678304i | |||||
−1957.64 | + | 1905.62i | −0.463346 | + | 0.451034i | |||||
2887.77 | − | 360.640i | 0.662941 | − | 0.0827916i | |||||
− | 657.048i | − | 0.146368i | −0.997318 | − | 0.0731842i | ||||
0.997318 | − | 0.0731842i | ||||||||
−595.532 | − | 2347.13i | −0.128791 | − | 0.507597i | |||||
3653.09i | 0.767295i | |||||||||
−6627.10 | − | 5300.36i | −1.35247 | − | 1.08171i | |||||
6741.79i | 1.33739i | 0.743536 | + | 0.668696i | ||||||
−0.743536 | + | 0.668696i | ||||||||
−538.538 | − | 1377.32i | −0.103885 | − | 0.265688i | |||||
4130.26i | 0.775054i | 0.921858 | + | 0.387527i | ||||||
−0.921858 | + | 0.387527i | ||||||||
574.391 | + | 4599.34i | 0.104892 | + | 0.839909i | |||||
6374.75 | + | 171.701i | 1.13329 | + | 0.0305246i | |||||
5714.45 | − | 1449.91i | 0.989344 | − | 0.251024i | |||||
6050.98 | 1.02057 | |||||||||
−4425.66 | + | 552.700i | −0.727425 | + | 0.0908448i | |||||
2307.14i | 0.369675i | 0.982769 | + | 0.184837i | ||||||
−0.982769 | + | 0.184837i | ||||||||
1902.90 | − | 6110.56i | 0.297329 | − | 0.954775i | |||||
−7898.74 | −1.20389 | |||||||||
1262.03 | + | 10105.5i | 0.187690 | + | 1.50290i | |||||
− | 2146.14i | − | 0.311532i | −0.987794 | − | 0.155766i | ||||
0.987794 | − | 0.155766i | ||||||||
−3407.09 | − | 13428.1i | −0.482865 | − | 1.90308i | |||||
2639.14 | + | 2711.18i | 0.365279 | + | 0.375250i | |||||
5374.41 | − | 671.184i | 0.726664 | − | 0.0907497i | |||||
−3954.90 | −0.522513 | |||||||||
1661.84 | + | 4250.21i | 0.214598 | + | 0.548839i | |||||
5117.03 | 0.646008 | 0.323004 | − | 0.946398i | ||||||
0.323004 | + | 0.946398i | ||||||||
1804.55 | + | 1443.28i | 0.222784 | + | 0.178183i | |||||
−9273.44 | −1.11985 | |||||||||
−5552.55 | + | 1408.84i | −0.656019 | + | 0.166450i | |||||
17220.4 | 1.99103 | |||||||||
−446.827 | − | 3577.90i | −0.0505690 | − | 0.404923i | |||||
−6600.80 | + | 6425.40i | −0.731391 | + | 0.711956i | |||||
8496.19 | − | 6081.05i | 0.921896 | − | 0.659836i | |||||
− | 9169.66i | − | 0.974563i | −0.873245 | − | 0.487281i | ||||
0.873245 | − | 0.487281i | ||||||||
−2379.43 | − | 19052.9i | −0.247754 | − | 1.98385i | |||||
−1647.68 | −0.168113 | |||||||||
2197.48 | + | 9755.57i | 0.219748 | + | 0.975557i | |||||
− | 536.675i | − | 0.0526100i | −0.999654 | − | 0.0263050i | ||||
0.999654 | − | 0.0263050i | ||||||||
765.449 | + | 6129.21i | 0.0735725 | + | 0.589121i | |||||
3140.33 | 0.296007 | 0.148003 | − | 0.988987i | ||||||
0.148003 | + | 0.988987i | ||||||||
−2546.86 | − | 6513.66i | −0.235471 | − | 0.602224i | |||||
15098.8 | + | 15510.9i | 1.36950 | + | 1.40689i | |||||
1690.04 | + | 13532.8i | 0.150413 | + | 1.20441i | |||||
16703.3i | 1.45893i | 0.684017 | + | 0.729466i | ||||||
−0.684017 | + | 0.729466i | ||||||||
−2324.37 | − | 9160.87i | −0.199277 | − | 0.785397i | |||||
− | 15790.1i | − | 1.32902i | −0.747279 | − | 0.664510i | ||||
0.747279 | − | 0.664510i | ||||||||
−5568.56 | − | 4453.74i | −0.460212 | − | 0.368078i | |||||
− | 11823.3i | − | 0.959602i | |||||||
19096.2 | − | 10357.3i | 1.52234 | − | 0.825676i | |||||
− | 4460.76i | − | 0.349343i | −0.984627 | − | 0.174672i | ||||
0.984627 | − | 0.174672i | ||||||||
−14922.5 | + | 1863.60i | −1.14824 | + | 0.143398i | |||||
6413.79 | − | 6243.36i | 0.484974 | − | 0.472088i | |||||
−1525.23 | − | 6011.28i | −0.113349 | − | 0.446736i | |||||
2525.15 | 0.184465 | |||||||||
720.920 | + | 5772.65i | 0.0517753 | + | 0.414583i | |||||
12843.0i | 0.906930i | |||||||||
−6748.14 | + | 14865.3i | −0.468621 | + | 1.03231i | |||||
−9556.53 | −0.652724 | |||||||||
−21135.2 | + | 2639.47i | −1.41999 | + | 0.177336i | |||||
− | 25977.5i | − | 1.71707i | |||||||
6641.15 | + | 26174.3i | 0.431916 | + | 1.70228i | |||||
−10593.4 | − | 11485.7i | −0.677976 | − | 0.735084i | |||||
971.993 | + | 7783.08i | 0.0612240 | + | 0.490242i | |||||
−10888.2 | −0.675070 | −0.337535 | − | 0.941313i | ||||||
−0.337535 | + | 0.941313i | ||||||||
12519.5 | + | 10568.7i | 0.764132 | + | 0.645060i | |||||
−13815.7 | −0.830218 | |||||||||
8534.10 | + | 6825.59i | 0.504976 | + | 0.403881i | |||||
−9105.25 | −0.530578 | −0.265289 | − | 0.964169i | ||||||
−0.265289 | + | 0.964169i | ||||||||
−2862.88 | − | 11283.3i | −0.164307 | − | 0.647571i | |||||
−31268.4 | −1.76767 | |||||||||
−2607.93 | + | 325.693i | −0.145240 | + | 0.0181384i | |||||
10300.6 | + | 10581.8i | 0.565191 | + | 0.580619i | |||||
−9020.94 | + | 3527.21i | −0.487724 | + | 0.190701i | |||||
− | 14976.2i | − | 0.797921i | −0.916968 | − | 0.398960i | ||||
0.916968 | − | 0.398960i | ||||||||
14499.7 | − | 1810.81i | 0.761381 | − | 0.0950853i | |||||
25598.6 | 1.32491 | 0.662456 | − | 0.749101i | ||||||
0.662456 | + | 0.749101i | ||||||||
−17753.0 | + | 28931.4i | −0.905767 | + | 1.47609i | |||||
9197.49i | 0.462627i | |||||||||
26759.3 | − | 3341.84i | 1.32708 | − | 0.165733i | |||||
−7792.21 | −0.381056 | |||||||||
−5199.88 | + | 2820.27i | −0.250766 | + | 0.136009i | |||||
6759.17 | + | 6943.68i | 0.321482 | + | 0.330258i | |||||
16393.7 | − | 2047.33i | 0.769080 | − | 0.0960468i | |||||
48978.1i | 2.26656i | |||||||||
17970.8 | − | 4559.70i | 0.820437 | − | 0.208168i | |||||
10269.8i | 0.462585i | 0.972884 | + | 0.231292i | ||||||
−0.972884 | + | 0.231292i | ||||||||
−2478.39 | − | 25387.6i | −0.110151 | − | 1.12834i | |||||
− | 14739.4i | − | 0.646435i | −0.946325 | − | 0.323217i | ||||
0.946325 | − | 0.323217i | ||||||||
−8587.55 | − | 21962.9i | −0.371691 | − | 0.950610i | |||||
− | 3497.14i | − | 0.149393i | |||||||
−2999.42 | − | 24017.4i | −0.126472 | − | 1.01271i | |||||
−29430.7 | − | 30234.1i | −1.22500 | − | 1.25844i | |||||
4387.51 | + | 17292.2i | 0.180289 | + | 0.710561i | |||||
−27740.2 | −1.12541 | −0.562705 | − | 0.826658i | ||||||
−0.562705 | + | 0.826658i | ||||||||
9157.42 | − | 1143.63i | 0.366825 | − | 0.0458111i | |||||
− | 34787.8i | − | 1.37605i | |||||||
−25197.1 | − | 4524.00i | −0.984261 | − | 0.176719i | |||||
30382.5 | 1.17212 | |||||||||
3915.33 | + | 31351.4i | 0.149190 | + | 1.19461i | |||||
− | 3732.97i | − | 0.140501i | −0.997529 | − | 0.0702505i | ||||
0.997529 | − | 0.0702505i | ||||||||
39484.7 | − | 10018.4i | 1.46805 | − | 0.372486i | |||||
12687.1 | + | 13033.4i | 0.466008 | + | 0.478729i | |||||
−8518.41 | + | 1063.82i | −0.309131 | + | 0.0386059i | |||||
20717.4 | 0.742853 | 0.371427 | − | 0.928462i | ||||||
0.371427 | + | 0.928462i | ||||||||
−51609.7 | + | 20179.5i | −1.82857 | + | 0.714978i | |||||
−16619.0 | −0.581879 | |||||||||
9452.94 | − | 11819.1i | 0.327091 | − | 0.408966i | |||||
8514.34 | 0.291178 | |||||||||
−5328.09 | − | 20999.2i | −0.180100 | − | 0.709817i | |||||
35335.7 | 1.18065 | 0.590326 | − | 0.807165i | ||||||
0.590326 | + | 0.807165i | ||||||||
1960.41 | + | 15697.7i | 0.0647512 | + | 0.518485i | |||||
1428.02 | − | 53018.3i | 0.0466293 | − | 1.73121i | |||||
16046.0 | − | 8702.92i | 0.518015 | − | 0.280957i | |||||
− | 14839.4i | − | 0.473664i | |||||||
−2536.46 | − | 20310.3i | −0.0800551 | − | 0.641028i | |||||
23669.8 | 0.738734 | 0.369367 | − | 0.929284i | ||||||
0.369367 | + | 0.929284i | ||||||||
4834.13 | − | 7877.98i | 0.149202 | − | 0.243148i | |||||
7525.59i | 0.229712i | 0.993382 | + | 0.114856i | ||||||
−0.993382 | + | 0.114856i | ||||||||
4596.76 | + | 36807.8i | 0.138774 | + | 1.11121i | |||||
54330.9 | 1.62235 | |||||||||
8344.25 | + | 21340.6i | 0.246463 | + | 0.630336i | |||||
−20758.2 | + | 20206.7i | −0.606523 | + | 0.590407i | |||||
−8535.99 | − | 68350.7i | −0.246734 | − | 1.97568i | |||||
10791.6i | 0.308606i | |||||||||
−13979.8 | + | 3547.07i | −0.395535 | + | 0.100358i | |||||
50126.5i | 1.40328i | |||||||||
28775.5 | + | 23014.7i | 0.797104 | + | 0.637525i | |||||
28925.8i | 0.792901i | 0.918056 | + | 0.396450i | ||||||
−0.918056 | + | 0.396450i | ||||||||
−28348.2 | − | 30708.5i | −0.768994 | − | 0.833021i | |||||
48944.4i | 1.31398i | 0.753900 | + | 0.656990i | ||||||
−0.753900 | + | 0.656990i | ||||||||
−36395.9 | + | 4545.32i | −0.967051 | + | 0.120770i | |||||
−19443.6 | − | 19974.3i | −0.511337 | − | 0.525295i | |||||
−74444.7 | + | 18888.7i | −1.93786 | + | 0.491688i | |||||
47883.5 | 1.23382 | 0.616912 | − | 0.787032i | ||||||
0.616912 | + | 0.787032i | ||||||||
816.738 | + | 6539.90i | 0.0208330 | + | 0.166817i | |||||
29644.2i | 0.748573i | 0.927313 | + | 0.374286i | ||||||
−0.927313 | + | 0.374286i | ||||||||
37632.2 | − | 13557.9i | 0.940805 | − | 0.338948i | |||||
6704.06 | 0.165938 | |||||||||
−2130.15 | + | 266.025i | −0.0522045 | + | 0.00651958i | |||||
32892.6i | 0.798190i | |||||||||
23948.4 | − | 6076.39i | 0.575462 | − | 0.146011i | |||||
−45609.1 | + | 44397.2i | −1.08529 | + | 1.05645i | |||||
−1556.63 | − | 12464.5i | −0.0366819 | − | 0.293725i | |||||
−8273.12 | −0.193076 | |||||||||
−24591.3 | + | 13337.7i | −0.568402 | + | 0.308286i | |||||
−26273.9 | −0.601496 | |||||||||
54081.2 | − | 67618.2i | 1.22633 | − | 1.53329i | |||||
19653.5 | 0.441444 | 0.220722 | − | 0.975337i | ||||||
0.220722 | + | 0.975337i | ||||||||
52876.1 | − | 13416.1i | 1.17649 | − | 0.298508i | |||||
−68788.5 | −1.51620 | |||||||||
66298.2 | − | 8279.68i | 1.44769 | − | 0.180795i | |||||
23611.8 | + | 24256.3i | 0.510802 | + | 0.524745i | |||||
−35208.8 | + | 13766.8i | −0.754648 | + | 0.295069i | |||||
− | 143221.i | − | 3.04149i | |||||||
−62673.5 | + | 7827.00i | −1.31878 | + | 0.164696i | |||||
−42142.3 | −0.878678 | |||||||||
−14917.4 | + | 24310.2i | −0.308210 | + | 0.502277i | |||||
− | 16538.7i | − | 0.338624i | |||||||
−46928.5 | + | 5860.68i | −0.952205 | + | 0.118916i | |||||
−60977.7 | −1.22620 | −0.613100 | − | 0.790005i | ||||||
−0.613100 | + | 0.790005i | ||||||||
−50575.6 | − | 70662.2i | −1.00796 | − | 1.40829i | |||||
−388.849 | + | 14436.8i | −0.00768097 | + | 0.285172i | |||||
−17705.5 | + | 2211.16i | −0.346650 | + | 0.0432915i | |||||
2698.14i | 0.0523616i | 0.999657 | + | 0.0261808i | ||||||
−0.999657 | + | 0.0261808i | ||||||||
14793.9 | + | 58306.2i | 0.284586 | + | 1.12162i | |||||
− | 68901.3i | − | 1.31388i | −0.753942 | − | 0.656941i | ||||
0.753942 | − | 0.656941i | ||||||||
−27960.2 | − | 22362.6i | −0.528548 | − | 0.422734i | |||||
61740.0i | 1.15702i | |||||||||
−23103.7 | + | 9033.63i | −0.429246 | + | 0.167837i | |||||
83770.9i | 1.54305i | 0.636196 | + | 0.771527i | ||||||
−0.636196 | + | 0.771527i | ||||||||
−1251.69 | − | 10022.7i | −0.0228595 | − | 0.183044i | |||||
16148.2 | − | 15719.1i | 0.292407 | − | 0.284637i | |||||
22555.3 | − | 5722.90i | 0.404971 | − | 0.102752i | |||||
−23540.4 | −0.419100 | |||||||||
50976.2 | − | 6366.18i | 0.899939 | − | 0.112389i | |||||
− | 36602.8i | − | 0.640795i | −0.947283 | − | 0.320397i | ||||
0.947283 | − | 0.320397i | ||||||||
62347.9 | + | 19415.9i | 1.08243 | + | 0.337082i | |||||
48755.9 | 0.839447 | 0.419724 | − | 0.907652i | ||||||
0.419724 | + | 0.907652i | ||||||||
4737.09 | + | 37931.5i | 0.0808873 | + | 0.647693i | |||||
− | 32746.8i | − | 0.554570i | |||||||
20953.0 | + | 82580.7i | 0.351939 | + | 1.38707i | |||||
85991.6 | − | 83706.6i | 1.43260 | − | 1.39453i | |||||
−103109. | + | 12876.8i | −1.70383 | + | 0.212784i | |||||
40266.1 | 0.660003 | |||||||||
100598. | − | 39334.2i | 1.63564 | − | 0.639538i | |||||
21897.8 | 0.353184 | |||||||||
−40337.6 | + | 47740.2i | −0.645401 | + | 0.763844i | |||||
75319.3 | 1.19553 | 0.597763 | − | 0.801673i | ||||||
0.597763 | + | 0.801673i | ||||||||
30410.5 | − | 7716.00i | 0.478876 | − | 0.121504i | |||||
25529.5 | 0.398843 | |||||||||
5397.19 | + | 43217.1i | 0.0836566 | + | 0.669867i | |||||
−27663.0 | + | 26928.0i | −0.425421 | + | 0.414117i | |||||
35743.0 | − | 54930.9i | 0.545394 | − | 0.838180i | |||||
27190.5i | 0.411672i | 0.978587 | + | 0.205836i | ||||||
−0.978587 | + | 0.205836i | ||||||||
6848.29 | + | 54836.7i | 0.102883 | + | 0.823819i | |||||
−98333.1 | −1.46589 | |||||||||
22861.6 | − | 37256.7i | 0.338190 | − | 0.551134i | |||||
− | 8956.62i | − | 0.131481i | |||||||
4513.39 | + | 36140.3i | 0.0657507 | + | 0.526488i | |||||
−48135.0 | −0.695905 | −0.347952 | − | 0.937512i | ||||||
−0.347952 | + | 0.937512i | ||||||||
−43366.1 | + | 16956.3i | −0.622218 | + | 0.243289i | |||||
−61077.5 | + | 59454.6i | −0.869740 | + | 0.846630i | |||||
15499.5 | + | 124109.i | 0.219055 | + | 1.75405i | |||||
52210.6i | 0.732379i | |||||||||
2585.46 | + | 10189.9i | 0.0359971 | + | 0.141873i | |||||
− | 57856.4i | − | 0.799553i | −0.916613 | − | 0.399776i | ||||
0.916613 | − | 0.399776i | ||||||||
36894.9 | − | 46130.1i | 0.506104 | − | 0.632786i | |||||
− | 135141.i | − | 1.84013i | −0.391765 | − | 0.920065i | ||||
0.391765 | − | 0.920065i | ||||||||
18471.7 | + | 34057.2i | 0.249672 | + | 0.460332i | |||||
− | 94619.7i | − | 1.26957i | |||||||
−59443.0 | + | 7423.55i | −0.791770 | + | 0.0988805i | |||||
1199.93 | − | 44549.8i | 0.0158668 | − | 0.589088i | |||||
−14374.8 | − | 56654.3i | −0.188705 | − | 0.743729i | |||||
66626.3 | 0.868333 | 0.434166 | − | 0.900833i | ||||||
0.434166 | + | 0.900833i | ||||||||
−12689.0 | − | 101605.i | −0.164187 | − | 1.31470i | |||||
38998.8i | 0.501006i | |||||||||
123634. | + | 56123.8i | 1.57696 | + | 0.715864i | |||||
70518.3 | 0.893078 | 0.446539 | − | 0.894764i | ||||||
0.446539 | + | 0.894764i | ||||||||
36506.4 | − | 4559.11i | 0.459061 | − | 0.0573300i | |||||
5580.69i | 0.0696811i | 0.999393 | + | 0.0348406i | ||||||
−0.999393 | + | 0.0348406i | ||||||||
−26528.7 | − | 104556.i | −0.328911 | − | 1.29632i | |||||
−65560.3 | − | 67349.9i | −0.807144 | − | 0.829177i | |||||
3862.53 | + | 30928.6i | 0.0472214 | + | 0.378118i | |||||
−216053. | −2.62299 | |||||||||
13771.7 | + | 19241.2i | 0.166036 | + | 0.231978i | |||||
60616.1 | 0.725758 | |||||||||
24210.2 | − | 30270.2i | 0.287873 | − | 0.359931i | |||||
93560.8 | 1.10486 | |||||||||
−16252.4 | − | 64054.5i | −0.190613 | − | 0.751249i | |||||
85817.1 | 0.999628 | 0.499814 | − | 0.866133i | ||||||
0.499814 | + | 0.866133i | ||||||||
194402. | − | 24278.0i | 2.24909 | − | 0.280878i | |||||
−26053.8 | + | 25361.5i | −0.299382 | + | 0.291427i | |||||
−27006.2 | − | 69069.1i | −0.308234 | − | 0.788316i | |||||
42119.9i | 0.477501i | |||||||||
40762.7 | − | 5090.67i | 0.459019 | − | 0.0573248i | |||||
−39125.3 | −0.437639 | |||||||||
−99539.0 | + | 22421.5i | −1.10599 | + | 0.249128i | |||||
114904.i | 1.26824i | |||||||||
−58503.0 | + | 7306.16i | −0.641452 | + | 0.0801079i | |||||
5475.85 | 0.0596440 | |||||||||
−82917.6 | + | 44972.2i | −0.897222 | + | 0.486628i | |||||
−92854.9 | − | 95389.5i | −0.998171 | − | 1.02542i | |||||
−13880.7 | + | 1733.50i | −0.148242 | + | 0.0185132i | |||||
− | 24380.3i | − | 0.258680i | −0.991600 | − | 0.129340i | ||||
0.991600 | − | 0.129340i | ||||||||
−93842.2 | + | 23810.4i | −0.989228 | + | 0.250995i | |||||
32041.8i | 0.335583i | |||||||||
−105416. | + | 131802.i | −1.09694 | + | 1.37151i | |||||
145304.i | 1.50230i | 0.660133 | + | 0.751149i | ||||||
−0.660133 | + | 0.751149i | ||||||||
66460.8 | − | 25986.4i | 0.682742 | − | 0.266954i | |||||
15.3803i | 0.000156991i | 1.00000 | 7.84956e-5i | |||||||
−1.00000 | 7.84956e-5i | |||||||||
13750.6 | + | 110106.i | 0.139464 | + | 1.11673i | |||||
−35127.4 | + | 34194.0i | −0.354018 | + | 0.344611i | |||||
−9078.50 | − | 35780.5i | −0.0909159 | − | 0.358320i | |||||
−19873.1 | −0.197764 | −0.0988819 | − | 0.995099i | ||||||
−0.0988819 | + | 0.995099i | ||||||||
−138079. | + | 17244.0i | −1.36544 | + | 0.170523i | |||||
27638.7i | 0.271604i | |||||||||
−5466.54 | + | 102254.i | −0.0533842 | + | 0.998574i | |||||
−170429. | −1.65399 | |||||||||
−15060.3 | − | 120593.i | −0.145252 | − | 1.16308i | |||||
− | 55765.7i | − | 0.534517i | |||||||
122498. | − | 31081.2i | 1.16692 | − | 0.296079i | |||||
−1838.95 | + | 68274.8i | −0.0174102 | + | 0.646388i | |||||
−14816.8 | + | 1850.40i | −0.139418 | + | 0.0174113i | |||||
161111. | 1.50671 | |||||||||
−59336.9 | − | 151756.i | −0.551540 | − | 1.41058i | |||||
76494.8 | 0.706708 | |||||||||
45442.9 | − | 56817.7i | 0.417290 | − | 0.521742i | |||||
−55183.9 | −0.503682 | −0.251841 | − | 0.967769i | ||||||
−0.251841 | + | 0.967769i | ||||||||
8444.99 | + | 33283.7i | 0.0766167 | + | 0.301964i | |||||
26776.0 | 0.241466 | |||||||||
−10269.4 | − | 82231.0i | −0.0920564 | − | 0.737127i | |||||
−11457.6 | − | 11770.4i | −0.102095 | − | 0.104882i | |||||
105678. | + | 194845.i | 0.936068 | + | 1.72588i | |||||
172509.i | 1.51898i | 0.650520 | + | 0.759489i | ||||||
−0.650520 | + | 0.759489i | ||||||||
8237.91 | + | 65963.8i | 0.0721080 | + | 0.577394i | |||||
45514.5 | 0.396050 | |||||||||
−51597.8 | − | 31661.7i | −0.446347 | − | 0.273890i | |||||
− | 120344.i | − | 1.03494i | |||||||
−4220.48 | − | 33794.9i | −0.0360836 | − | 0.288934i | |||||
203598. | 1.73056 | |||||||||
−80708.3 | + | 31557.2i | −0.682027 | + | 0.266674i | |||||
63702.9 | + | 65441.8i | 0.535206 | + | 0.549815i | |||||
−17515.6 | − | 140253.i | −0.146310 | − | 1.17155i | |||||
53756.2i | 0.446447i | 0.974767 | + | 0.223223i | ||||||
−0.974767 | + | 0.223223i | ||||||||
61334.9 | − | 15562.4i | 0.506465 | − | 0.128504i | |||||
101720.i | 0.835136i | 0.908646 | + | 0.417568i | ||||||
−0.908646 | + | 0.417568i | ||||||||
−211146. | + | 20612.6i | −1.72364 | + | 0.168266i | |||||
− | 64550.9i | − | 0.523948i | |||||||
−42497.2 | − | 59375.4i | −0.342985 | − | 0.479205i | |||||
− | 119472.i | − | 0.958778i | −0.877603 | − | 0.479389i | ||||
0.877603 | − | 0.479389i | ||||||||
−58900.1 | + | 7355.76i | −0.470013 | + | 0.0586977i | |||||
117564. | + | 120773.i | 0.932861 | + | 0.958325i | |||||
−79357.9 | + | 20135.3i | −0.626167 | + | 0.158876i | |||||
−131041. | −1.02819 | |||||||||
−11732.9 | − | 93949.3i | −0.0915459 | − | 0.733039i | |||||
66348.7i | 0.514806i | 0.966304 | + | 0.257403i | ||||||
−0.966304 | + | 0.257403i | ||||||||
−33665.3 | − | 15282.4i | −0.259763 | − | 0.117920i | |||||
5449.20 | 0.0418137 | |||||||||
29870.3 | − | 3730.37i | 0.227941 | − | 0.0284665i | |||||
− | 97508.1i | − | 0.739993i | |||||||
143818. | − | 36490.6i | 1.08545 | − | 0.275409i | |||||
72023.8 | + | 73989.8i | 0.540618 | + | 0.555375i | |||||
−26931.3 | − | 215648.i | −0.201046 | − | 1.60985i | |||||
146492. | 1.08763 | 0.543817 | − | 0.839204i | ||||||
0.543817 | + | 0.839204i | ||||||||
80568.4 | − | 43698.1i | 0.594935 | − | 0.322676i | |||||
58831.0 | 0.432069 | |||||||||
90493.3 | + | 72376.7i | 0.661018 | + | 0.528683i | |||||
−289328. | −2.10205 | |||||||||
−267064. | + | 67761.6i | −1.92988 | + | 0.489663i | |||||
−113125. | −0.813092 | −0.406546 | − | 0.913630i | ||||||
−0.406546 | + | 0.913630i | ||||||||
42833.8 | − | 5349.32i | 0.306227 | − | 0.0382433i | |||||
117192. | − | 108087.i | 0.833364 | − | 0.768622i | |||||
21008.6 | + | 53729.9i | 0.148601 | + | 0.380050i | |||||
− | 42357.7i | − | 0.298023i | |||||||
198961. | − | 24847.3i | 1.39246 | − | 0.173898i | |||||
43592.1 | 0.303480 | 0.151740 | − | 0.988420i | ||||||
0.151740 | + | 0.988420i | ||||||||
77085.3 | − | 125623.i | 0.533832 | − | 0.869964i | |||||
− | 111096.i | − | 0.765327i | |||||||
114811. | − | 14338.3i | 0.786789 | − | 0.0982584i | |||||
−99396.2 | −0.677598 | −0.338799 | − | 0.940859i | ||||||
−0.338799 | + | 0.940859i | ||||||||
−107835. | + | 127741.i | −0.731304 | + | 0.866296i | |||||
108398. | − | 105517.i | 0.731306 | − | 0.711873i | |||||
194269. | − | 24261.3i | 1.30385 | − | 0.162832i | |||||
− | 31288.2i | − | 0.208909i | |||||||
36082.2 | + | 142208.i | 0.239679 | + | 0.944630i | |||||
99896.0i | 0.660159i | 0.943953 | + | 0.330080i | ||||||
−0.943953 | + | 0.330080i | ||||||||
−69643.5 | + | 87076.0i | −0.457880 | + | 0.572492i | |||||
54185.7i | 0.354431i | |||||||||
111874. | + | 286120.i | 0.728043 | + | 1.86199i | |||||
− | 92903.6i | − | 0.601516i | |||||||
−23735.4 | − | 190058.i | −0.152899 | − | 1.22431i | |||||
40232.0 | + | 41330.3i | 0.257856 | + | 0.264895i | |||||
25553.1 | − | 6483.54i | 0.162950 | − | 0.0413449i | |||||
55234.5 | 0.350453 | 0.175226 | − | 0.984528i | ||||||
0.175226 | + | 0.984528i | ||||||||
117663. | − | 14694.4i | 0.742803 | − | 0.0927652i | |||||
− | 319041.i | − | 2.00401i | |||||||
−72467.6 | − | 142648.i | −0.452922 | − | 0.891550i | |||||
−40688.8 | −0.253038 | −0.126519 | − | 0.991964i | ||||||
−0.126519 | + | 0.991964i | ||||||||
−3323.14 | − | 26609.5i | −0.0205635 | − | 0.164659i | |||||
184434.i | 1.13561i | |||||||||
2111.79 | + | 8323.07i | 0.0129386 | + | 0.0509942i | |||||
−141499. | + | 137739.i | −0.862665 | + | 0.839743i | |||||
130556. | − | 16304.6i | 0.792037 | − | 0.0989139i | |||||
−82626.5 | −0.498804 | |||||||||
−35989.2 | − | 92043.4i | −0.216198 | − | 0.552933i | |||||
−313804. | −1.87591 | −0.937955 | − | 0.346757i | ||||||
−0.937955 | + | 0.346757i | ||||||||
198828. | + | 159023.i | 1.18280 | + | 0.946002i | |||||
152806. | 0.904603 | |||||||||
−48702.1 | + | 12357.1i | −0.286915 | + | 0.0727984i | |||||
−123418. | −0.723567 | |||||||||
4100.91 | + | 32837.4i | 0.0239265 | + | 0.191588i | |||||
−37424.6 | − | 38446.2i | −0.217301 | − | 0.223232i | |||||
65129.2 | + | 90995.8i | 0.376347 | + | 0.525817i | |||||
261190.i | 1.50205i | |||||||||
13023.7 | + | 104286.i | 0.0745390 | + | 0.596859i | |||||
264287. | 1.50538 | 0.752692 | − | 0.658373i | ||||||
0.752692 | + | 0.658373i | ||||||||
−295196. | − | 181140.i | −1.67344 | − | 1.02687i | |||||
179764.i | 1.01424i | 0.861877 | + | 0.507118i | ||||||
−0.861877 | + | 0.507118i | ||||||||
−9742.08 | − | 78008.2i | −0.0547050 | − | 0.438042i | |||||
−20829.4 | −0.116412 | |||||||||
−79461.0 | − | 203224.i | −0.442000 | − | 1.13043i | |||||
94555.6 | + | 2546.81i | 0.523491 | + | 0.0141000i | |||||
34097.8 | + | 273033.i | 0.187892 | + | 1.50451i | |||||
− | 451866.i | − | 2.47830i | |||||||
−65726.8 | − | 259045.i | −0.358802 | − | 1.41412i | |||||
− | 79506.2i | − | 0.432003i | |||||||
84573.3 | − | 105743.i | 0.457400 | − | 0.571892i | |||||
− | 151073.i | − | 0.813266i | −0.913592 | − | 0.406633i | ||||
0.913592 | − | 0.406633i | ||||||||
72095.3 | + | 132926.i | 0.386313 | + | 0.712265i | |||||
133641.i | 0.712796i | 0.934334 | + | 0.356398i | ||||||
−0.934334 | + | 0.356398i | ||||||||
−568467. | + | 70993.2i | −3.01805 | + | 0.376910i | |||||
−70848.4 | + | 68965.8i | −0.374413 | + | 0.364465i | |||||
62133.3 | + | 244882.i | 0.326852 | + | 1.28820i | |||||
−131924. | −0.690812 | |||||||||
20889.5 | + | 167270.i | 0.108888 | + | 0.871905i | |||||
− | 74613.0i | − | 0.387156i | −0.981085 | − | 0.193578i | ||||
0.981085 | − | 0.193578i | ||||||||
103886. | + | 47159.2i | 0.536600 | + | 0.243591i | |||||
−110920. | −0.570339 | |||||||||
−65645.0 | + | 8198.10i | −0.336014 | + | 0.0419632i | |||||
110554.i | 0.563334i | 0.959512 | + | 0.281667i | ||||||
−0.959512 | + | 0.281667i | ||||||||
46524.0 | + | 183362.i | 0.236000 | + | 0.930129i | |||||
91666.8 | − | 89231.1i | 0.462905 | − | 0.450605i | |||||
30226.1 | + | 242031.i | 0.151954 | + | 1.21675i | |||||
−104786. | −0.524432 | |||||||||
−255400. | + | 235770.i | −1.27252 | + | 1.17471i | |||||
9722.73 | 0.0482276 | 0.0241138 | − | 0.999709i | ||||||
0.0241138 | + | 0.999709i | ||||||||
57494.9 | − | 5612.79i | 0.283925 | − | 0.0277175i | |||||
−181543. | −0.892539 | |||||||||
17552.9 | + | 69180.1i | 0.0859157 | + | 0.338613i | |||||
150390. | 0.732863 | |||||||||
10709.4 | − | 1337.44i | 0.0519580 | − | 0.00648879i | |||||
−166125. | + | 161711.i | −0.802440 | + | 0.781117i | |||||
224094. | − | 87621.4i | 1.07771 | − | 0.421386i | |||||
− | 331629.i | − | 1.58789i | −0.607990 | − | 0.793945i | ||||
0.607990 | − | 0.793945i | ||||||||
−273481. | + | 34153.7i | −1.30375 | + | 0.162820i | |||||
−89398.3 | −0.424330 | |||||||||
−74901.4 | + | 122064.i | −0.353976 | + | 0.576860i | |||||
− | 86774.7i | − | 0.408311i | −0.978938 | − | 0.204156i | ||||
0.978938 | − | 0.204156i | ||||||||
245056. | − | 30603.9i | 1.14811 | − | 0.143382i | |||||
−35664.8 | −0.166371 | −0.0831856 | − | 0.996534i | ||||||
−0.0831856 | + | 0.996534i | ||||||||
47308.3 | + | 87224.7i | 0.219736 | + | 0.405139i | |||||
308487. | − | 300290.i | 1.42670 | − | 1.38879i | |||||
332501. | − | 41524.5i | 1.53116 | − | 0.191220i | |||||
− | 293718.i | − | 1.34678i | −0.739288 | − | 0.673389i | ||||
0.739288 | − | 0.673389i | ||||||||
−39161.4 | + | 9936.35i | −0.178800 | + | 0.0453665i | |||||
− | 55757.1i | − | 0.253486i | |||||||
−70396.2 | − | 56303.0i | −0.318679 | − | 0.254880i | |||||
− | 283042.i | − | 1.27588i | |||||||
−33895.6 | − | 86688.9i | −0.152146 | − | 0.389116i | |||||
96550.3i | 0.431550i | |||||||||
11668.8 | + | 93435.9i | 0.0519360 | + | 0.415869i | |||||
−6200.61 | + | 230210.i | −0.0274819 | + | 1.02032i | |||||
−50536.8 | − | 199177.i | −0.223046 | − | 0.879075i | |||||
78783.6 | 0.346257 | |||||||||
−145283. | + | 18143.7i | −0.635855 | + | 0.0794090i | |||||
435529.i | 1.89822i | 0.314945 | + | 0.949110i | ||||||
−0.314945 | + | 0.949110i | ||||||||
46159.7 | − | 257093.i | 0.200346 | − | 1.11586i | |||||
126629. | 0.547323 | |||||||||
−24167.9 | − | 193520.i | −0.104027 | − | 0.832977i | |||||
310002.i | 1.32883i | |||||||||
148208. | − | 37604.6i | 0.632676 | − | 0.160528i | |||||
−159901. | − | 164266.i | −0.679779 | − | 0.698335i | |||||
−129978. | + | 16232.3i | −0.550295 | + | 0.0687238i | |||||
187286. | 0.789672 | 0.394836 | − | 0.918752i | ||||||
0.394836 | + | 0.918752i | ||||||||
317390. | − | 124101.i | 1.33277 | − | 0.521116i | |||||
38088.6 | 0.159286 | |||||||||
−374871. | − | 299822.i | −1.56131 | − | 1.24874i | |||||
−287674. | −1.19327 | −0.596634 | − | 0.802513i | ||||||
−0.596634 | + | 0.802513i | ||||||||
102221. | + | 402875.i | 0.422287 | + | 1.66433i | |||||
−58662.4 | −0.241360 | |||||||||
−19959.6 | − | 159823.i | −0.0817894 | − | 0.654916i | |||||
−29516.6 | + | 28732.3i | −0.120464 | + | 0.117263i | |||||
−205989. | − | 379793.i | −0.837301 | − | 1.54377i | |||||
572109.i | 2.31615i | |||||||||
−10854.5 | − | 86915.9i | −0.0437675 | − | 0.350462i | |||||
175430. | 0.704537 | 0.352268 | − | 0.935899i | ||||||
0.352268 | + | 0.935899i | ||||||||
209484. | + | 136442.i | 0.837936 | + | 0.545769i | |||||
211386.i | 0.842172i | |||||||||
−37335.1 | − | 298955.i | −0.148153 | − | 1.18631i | |||||
−95682.5 | −0.378178 | −0.189089 | − | 0.981960i | ||||||
−0.189089 | + | 0.981960i | ||||||||
−45700.3 | − | 116880.i | −0.179911 | − | 0.460128i | |||||
−9358.57 | − | 9614.03i | −0.0366967 | − | 0.0376984i | |||||
−12654.8 | − | 101331.i | −0.0494257 | − | 0.395769i | |||||
− | 169569.i | − | 0.659676i | |||||||
168861. | − | 42844.7i | 0.654336 | − | 0.166023i | |||||
− | 370388.i | − | 1.42962i | −0.699318 | − | 0.714811i | ||||
0.699318 | − | 0.714811i | ||||||||
120594. | + | 96451.2i | 0.463644 | + | 0.370823i | |||||
350494.i | 1.34227i | |||||||||
−235748. | − | 114641.i | −0.899306 | − | 0.437321i | |||||
− | 217654.i | − | 0.827050i | |||||||
107924. | − | 13478.1i | 0.408499 | − | 0.0510155i | |||||
56256.2 | − | 54761.3i | 0.212107 | − | 0.206471i | |||||
214261. | − | 54364.1i | 0.804719 | − | 0.204180i | |||||
64276.4 | 0.240475 | |||||||||
48742.8 | + | 390300.i | 0.181656 | + | 1.45459i | |||||
360541.i | 1.33850i | |||||||||
−159210. | − | 72273.9i | −0.588795 | − | 0.267285i | |||||
−259622. | −0.956458 | −0.478229 | − | 0.878235i | ||||||
−0.478229 | + | 0.878235i | ||||||||
−35550.3 | + | 4439.71i | −0.130468 | + | 0.0162935i | |||||
108562.i | 0.396895i | 0.980111 | + | 0.198448i | ||||||
−0.980111 | + | 0.198448i | ||||||||
141209. | − | 35828.8i | 0.514282 | − | 0.130488i | |||||
540961. | + | 14570.5i | 1.96267 | + | 0.0528637i | |||||
23860.1 | + | 191056.i | 0.0862384 | + | 0.690541i | |||||
255427. | 0.919700 | |||||||||
88798.5 | + | 163722.i | 0.318521 | + | 0.587273i | |||||
−151655. | −0.541933 | |||||||||
266261. | + | 212956.i | 0.947884 | + | 0.758119i | |||||
33606.6 | 0.119189 | |||||||||
484928. | − | 123040.i | 1.71338 | − | 0.434733i | |||||
278224. | 0.979356 | |||||||||
207233. | − | 25880.3i | 0.726734 | − | 0.0907584i | |||||
291273. | + | 299224.i | 1.01764 | + | 1.04542i | |||||
39163.8 | − | 15313.1i | 0.136319 | − | 0.0533009i | |||||
241510.i | 0.837502i | |||||||||
−229642. | + | 28678.9i | −0.793390 | + | 0.0990827i | |||||
342282. | 1.17817 | |||||||||
−201387. | − | 123576.i | −0.690626 | − | 0.423786i | |||||
− | 280006.i | − | 0.956694i | −0.878171 | − | 0.478347i | ||||
0.878171 | − | 0.478347i | ||||||||
−536397. | + | 66988.2i | −1.82595 | + | 0.228034i | |||||
−76785.8 | −0.260424 | |||||||||
126023. | − | 90199.1i | 0.425844 | − | 0.304793i | |||||
−275348. | − | 282865.i | −0.927021 | − | 0.952326i | |||||
−375561. | + | 46902.1i | −1.25978 | + | 0.157328i | |||||
72377.7i | 0.241897i | 0.992659 | + | 0.120948i | ||||||
−0.992659 | + | 0.120948i | ||||||||
58930.7 | + | 232259.i | 0.196237 | + | 0.773414i | |||||
123043.i | 0.408235i | |||||||||
−177420. | + | 17320.2i | −0.586513 | + | 0.0572568i | |||||
− | 142823.i | − | 0.470429i | |||||||
−217745. | + | 85138.9i | −0.714611 | + | 0.279415i | |||||
195784.i | 0.640216i | |||||||||
−33026.0 | − | 264451.i | −0.107606 | − | 0.861640i | |||||
−206175. | − | 211803.i | −0.669344 | − | 0.687615i | |||||
−396998. | + | 100730.i | −1.28422 | + | 0.325842i | |||||
402974. | 1.29887 | 0.649437 | − | 0.760416i | ||||||
0.649437 | + | 0.760416i | ||||||||
154793. | − | 19331.4i | 0.497144 | − | 0.0620861i | |||||
− | 147968.i | − | 0.473527i | |||||||
161481. | − | 518542.i | 0.514925 | − | 1.65352i | |||||
−110110. | −0.349866 | |||||||||
−34955.3 | − | 279899.i | −0.110673 | − | 0.886194i | |||||
− | 244892.i | − | 0.772606i | −0.922372 | − | 0.386303i | ||||
0.922372 | − | 0.386303i | ||||||||
−36191.8 | − | 142640.i | −0.113776 | − | 0.448418i | |||||
−77787.0 | − | 79910.4i | −0.243675 | − | 0.250326i | |||||
22150.7 | − | 2766.30i | 0.0691440 | − | 0.00863508i | |||||
−670288. | −2.08495 | |||||||||
−401849. | + | 157124.i | −1.24556 | + | 0.487019i | |||||
644997. | 1.99220 | 0.996100 | − | 0.0882331i | ||||||
0.996100 | + | 0.0882331i | ||||||||
−234825. | + | 293605.i | −0.722762 | + | 0.903677i | |||||
198216. | 0.607947 | 0.303973 | − | 0.952681i | ||||||
0.303973 | + | 0.952681i | ||||||||
120846. | − | 30662.0i | 0.369352 | − | 0.0937149i | |||||
−295139. | −0.898911 | |||||||||
107096. | + | 857551.i | 0.325048 | + | 2.60277i | |||||
6024.94 | − | 223688.i | 0.0182229 | − | 0.676561i | |||||
69545.1 | − | 64199.8i | 0.209615 | − | 0.193503i | |||||
218459.i | 0.656172i | 0.944648 | + | 0.328086i | ||||||
−0.944648 | + | 0.328086i | ||||||||
−30046.8 | − | 240595.i | −0.0899379 | − | 0.720164i | |||||
−499394. | −1.48966 | |||||||||
−132148. | − | 81089.5i | −0.392831 | − | 0.241051i | |||||
− | 182122.i | − | 0.539523i | |||||||
−46377.2 | − | 371358.i | −0.136917 | − | 1.09634i | |||||
−243114. | −0.715274 | |||||||||
−246187. | + | 96259.8i | −0.721837 | + | 0.282240i | |||||
45235.7 | − | 44033.7i | 0.132181 | − | 0.128669i | |||||
−42538.7 | − | 340622.i | −0.123877 | − | 0.991923i | |||||
330673.i | 0.959673i | 0.877358 | + | 0.479836i | ||||||
−0.877358 | + | 0.479836i | ||||||||
−192727. | − | 759581.i | −0.557427 | − | 2.19695i | |||||
621878.i | 1.79256i | |||||||||
113578. | + | 90840.3i | 0.326281 | + | 0.260960i | |||||
488569.i | 1.39879i | |||||||||
−260760. | + | 141429.i | −0.744042 | + | 0.403548i | |||||
− | 499960.i | − | 1.42176i | −0.703314 | − | 0.710879i | ||||
0.703314 | − | 0.710879i | ||||||||
167181. | − | 20878.4i | 0.473820 | − | 0.0591732i | |||||
223958. | + | 230071.i | 0.632604 | + | 0.649873i | |||||
−40411.4 | − | 159271.i | −0.113766 | − | 0.448377i | |||||
−302469. | −0.848657 | |||||||||
19394.1 | + | 155295.i | 0.0542334 | + | 0.434265i | |||||
− | 407848.i | − | 1.13670i | −0.822788 | − | 0.568348i | ||||
0.822788 | − | 0.568348i | ||||||||
138335. | + | 383973.i | 0.384265 | + | 1.06659i | |||||
441217. | 1.22153 | 0.610763 | − | 0.791813i | ||||||
0.610763 | + | 0.791813i | ||||||||
456072. | − | 56956.7i | 1.25846 | − | 0.157164i | |||||
15182.6i | 0.0417553i | |||||||||
57998.8 | + | 228587.i | 0.158981 | + | 0.626580i | |||||
−171196. | + | 166647.i | −0.467718 | + | 0.455290i | |||||
−2714.33 | − | 21734.6i | −0.00739124 | − | 0.0591842i | |||||
−71921.7 | −0.195201 | −0.0976006 | − | 0.995226i | ||||||
−0.0976006 | + | 0.995226i | ||||||||
219604. | + | 306822.i | 0.594064 | + | 0.830001i | |||||
−335613. | −0.904908 | |||||||||
−332590. | + | 415840.i | −0.893818 | + | 1.11755i | |||||
−98506.9 | −0.263866 | |||||||||
13761.1 | + | 54235.7i | 0.0367410 | + | 0.144805i | |||||
527274. | 1.40319 | 0.701593 | − | 0.712577i | ||||||
0.701593 | + | 0.712577i | ||||||||
−96769.6 | + | 12085.1i | −0.256686 | + | 0.0320563i | |||||
−452998. | − | 465363.i | −1.19769 | − | 1.23039i | |||||
141024. | + | 360673.i | 0.371648 | + | 0.950499i | |||||
− | 91867.0i | − | 0.241318i | −0.992694 | − | 0.120659i | ||||
0.992694 | − | 0.120659i | ||||||||
127179. | − | 15882.8i | 0.332996 | − | 0.0415863i | |||||
−633381. | −1.65304 | −0.826521 | − | 0.562906i | ||||||
−0.826521 | + | 0.562906i | ||||||||
575399. | + | 353079.i | 1.49687 | + | 0.918520i | |||||
211488.i | 0.548405i | |||||||||
576735. | − | 72025.7i | 1.49072 | − | 0.186169i | |||||
434231. | 1.11878 | |||||||||
−136088. | − | 250913.i | −0.349503 | − | 0.644397i | |||||
−390059. | − | 21027.4i | −0.998550 | − | 0.0538300i | |||||
61.0469 | − | 7.62386i | 0.000155781 | − | 1.94548e-5i | |||||
− | 268081.i | − | 0.681915i | |||||||
430211. | − | 109157.i | 1.09084 | − | 0.276777i | |||||
− | 175372.i | − | 0.443261i | |||||||
153134. | + | 122477.i | 0.385826 | + | 0.308584i | |||||
128753.i | 0.323368i | 0.986843 | + | 0.161684i | ||||||
−0.986843 | + | 0.161684i | ||||||||
−137518. | + | 53770.1i | −0.344292 | + | 0.134619i | |||||
200531.i | 0.500465i | |||||||||
9850.91 | + | 78879.6i | 0.0245074 | + | 0.196239i | |||||
−195052. | + | 189869.i | −0.483730 | + | 0.470877i | |||||
136889. | + | 539510.i | 0.338418 | + | 1.33378i | |||||
−524565. | −1.29277 | |||||||||
109703. | − | 13700.3i | 0.269511 | − | 0.0336579i | |||||
− | 155785.i | − | 0.381525i | |||||||
408573. | − | 28988.7i | 0.997492 | − | 0.0707733i | |||||
391151. | 0.951980 | 0.475990 | − | 0.879451i | ||||||
0.475990 | + | 0.879451i | ||||||||
84480.0 | + | 676461.i | 0.204967 | + | 1.64124i | |||||
− | 720581.i | − | 1.74285i | −0.490525 | − | 0.871427i | ||||
0.490525 | − | 0.871427i | ||||||||
−471189. | + | 119554.i | −1.13612 | + | 0.288265i | |||||
−247495. | + | 240918.i | −0.594903 | + | 0.579096i | |||||
−221343. | + | 27642.5i | −0.530397 | + | 0.0662388i | |||||
403682. | 0.964341 | 0.482171 | − | 0.876077i | ||||||
0.482171 | + | 0.876077i | ||||||||
−184088. | − | 470810.i | −0.438405 | − | 1.12123i | |||||
−103705. | −0.246212 | |||||||||
271906. | − | 26544.1i | 0.643563 | − | 0.0628262i | |||||
1.46132e6 | 3.44814 | |||||||||
14689.1 | + | 57893.1i | 0.0345541 | + | 0.136186i | |||||
−404377. | −0.948332 | −0.474166 | − | 0.880436i | ||||||
−0.474166 | + | 0.880436i | ||||||||
−79861.2 | − | 639476.i | −0.186716 | − | 1.49510i | |||||
−163112. | + | 158778.i | −0.380192 | + | 0.370090i | |||||
−572930. | + | 310742.i | −1.33136 | + | 0.722091i | |||||
− | 95439.1i | − | 0.221104i | |||||||
−37917.8 | − | 303621.i | −0.0875772 | − | 0.701261i | |||||
179720. | 0.413834 | 0.206917 | − | 0.978359i | ||||||
0.206917 | + | 0.978359i | ||||||||
−248044. | − | 152206.i | −0.569432 | − | 0.349418i | |||||
− | 512413.i | − | 1.17278i | −0.810028 | − | 0.586391i | ||||
0.810028 | − | 0.586391i | ||||||||
27354.1 | + | 219034.i | 0.0624176 | + | 0.499799i | |||||
168750. | 0.383898 | |||||||||
127922. | − | 50018.0i | 0.290142 | − | 0.113446i | |||||
−560144. | + | 545260.i | −1.26665 | + | 1.23299i | |||||
−13272.6 | − | 106278.i | −0.0299232 | − | 0.239605i | |||||
138776.i | 0.311935i | |||||||||
−321298. | + | 81522.3i | −0.720037 | + | 0.182694i | |||||
− | 622174.i | − | 1.39014i | |||||||
−41039.3 | + | 51311.8i | −0.0914218 | + | 0.114306i | |||||
− | 379690.i | − | 0.843304i | |||||||
720987. | − | 516038.i | 1.59657 | − | 1.14273i | |||||
− | 136431.i | − | 0.301220i | −0.988593 | − | 0.150610i | ||||
0.988593 | − | 0.150610i | ||||||||
684716. | − | 85511.0i | 1.50727 | − | 0.188236i | |||||
369052. | + | 9940.24i | 0.809990 | + | 0.0218167i | |||||
257738. | − | 65395.3i | 0.564007 | − | 0.143104i | |||||
−185710. | −0.405190 | −0.202595 | − | 0.979263i | ||||||
−0.202595 | + | 0.979263i | ||||||||
−22561.1 | − | 180655.i | −0.0490796 | − | 0.392997i | |||||
− | 778138.i | − | 1.68778i | |||||||
−100094. | + | 220495.i | −0.216466 | + | 0.476848i | |||||
−27529.9 | −0.0593623 | |||||||||
−477667. | + | 59653.6i | −1.02697 | + | 0.128253i | |||||
521505.i | 1.11794i | 0.829189 | + | 0.558968i | ||||||
−0.829189 | + | 0.558968i | ||||||||
−132045. | + | 33503.6i | −0.282235 | + | 0.0716109i | |||||
−261156. | − | 268284.i | −0.556568 | − | 0.571761i | |||||
−100922. | − | 808116.i | −0.214455 | − | 1.71722i | |||||
703020. | 1.48955 | |||||||||
165262. | + | 304702.i | 0.349137 | + | 0.643723i | |||||
372584. | 0.784849 | |||||||||
228172. | − | 285286.i | 0.479253 | − | 0.599215i | |||||
−159485. | −0.334012 | −0.167006 | − | 0.985956i | ||||||
−0.167006 | + | 0.985956i | ||||||||
−548007. | + | 139045.i | −1.14439 | + | 0.290363i | |||||
−139822. | −0.291144 | |||||||||
213367. | − | 26646.5i | 0.443005 | − | 0.0553249i | |||||
458576. | − | 446391.i | 0.949383 | − | 0.924156i | |||||
−92172.8 | − | 235734.i | −0.190276 | − | 0.486636i | |||||
− | 385320.i | − | 0.793152i | |||||||
403745. | − | 50421.8i | 0.828698 | − | 0.103492i | |||||
−854739. | −1.74936 | |||||||||
186478. | + | 827858.i | 0.380568 | + | 1.68951i | |||||
924458.i | 1.88127i | 0.339418 | + | 0.940635i | ||||||
−0.339418 | + | 0.940635i | ||||||||
−256213. | + | 31997.3i | −0.519909 | + | 0.0649290i | |||||
426971. | 0.863949 | |||||||||
−214605. | + | 198110.i | −0.433007 | + | 0.399726i | |||||
160386. | + | 164765.i | 0.322693 | + | 0.331502i | |||||
−474206. | + | 59221.3i | −0.951387 | + | 0.118814i | |||||
− | 45542.2i | − | 0.0911120i | |||||||
58392.5 | + | 230138.i | 0.116490 | + | 0.459116i | |||||
49979.9i | 0.0994267i | 0.998764 | + | 0.0497134i | ||||||
−0.998764 | + | 0.0497134i | ||||||||
421093. | − | 526496.i | 0.835336 | − | 1.04443i | |||||
− | 53311.7i | − | 0.105459i | |||||||
119257. | + | 305004.i | 0.235248 | + | 0.601652i | |||||
− | 604259.i | − | 1.18862i | |||||||
64956.0 | + | 520125.i | 0.127416 | + | 1.02026i | |||||
−139590. | + | 135881.i | −0.273050 | + | 0.265795i | |||||
−367084. | + | 93139.6i | −0.716044 | + | 0.181680i | |||||
373470. | 0.726469 | |||||||||
263349. | − | 32888.4i | 0.510838 | − | 0.0637961i | |||||
823502.i | 1.59297i | 0.604659 | + | 0.796484i | ||||||
−0.604659 | + | 0.796484i | ||||||||
−43971.0 | + | 141198.i | −0.0848205 | + | 0.272374i | |||||
266489. | 0.512635 | |||||||||
−2701.12 | − | 21628.8i | −0.00518166 | − | 0.0414914i | |||||
497471.i | 0.951681i | |||||||||
−29612.9 | − | 116711.i | −0.0564942 | − | 0.222657i | |||||
242168. | + | 6522.70i | 0.460725 | + | 0.0124094i | |||||
−387026. | + | 48333.9i | −0.734289 | + | 0.0917019i | |||||
−791865. | −1.49824 | −0.749122 | − | 0.662432i | ||||||
−0.749122 | + | 0.662432i | ||||||||
−216127. | − | 552749.i | −0.407798 | − | 1.04295i | |||||
−305673. | −0.575177 | |||||||||
257976. | − | 322550.i | 0.484099 | − | 0.605274i | |||||
−204925. | −0.383496 | |||||||||
−842595. | + | 213790.i | −1.57252 | + | 0.398993i | |||||
−586208. | −1.09105 | −0.545524 | − | 0.838095i | ||||||
−0.545524 | + | 0.838095i | ||||||||
−72614.9 | − | 581452.i | −0.134782 | − | 1.07925i | |||||
854084. | + | 877398.i | 1.58098 | + | 1.62413i | |||||
−213382. | − | 298129.i | −0.393915 | − | 0.550362i | |||||
− | 46851.1i | − | 0.0862551i | |||||||
−29162.0 | − | 233510.i | −0.0535432 | − | 0.428739i | |||||
51496.3 | 0.0942947 | 0.0471474 | − | 0.998888i | ||||||
0.0471474 | + | 0.998888i | ||||||||
242419. | − | 395060.i | 0.442693 | − | 0.721438i | |||||
410847.i | 0.748245i | |||||||||
143417. | + | 1.14839e6i | 0.260491 | + | 2.08584i | |||||
−333510. | −0.604132 | −0.302066 | − | 0.953287i | ||||||
−0.302066 | + | 0.953287i | ||||||||
401338. | + | 1.02643e6i | 0.725044 | + | 1.85432i | |||||
179086. | + | 183975.i | 0.322663 | + | 0.331471i | |||||
56074.9 | + | 449011.i | 0.100761 | + | 0.806825i | |||||
49591.6i | 0.0888724i | |||||||||
−42464.7 | − | 167363.i | −0.0758970 | − | 0.299127i | |||||
1.41744e6i | 2.52663i | |||||||||
−487108. | − | 411576.i | −0.865970 | − | 0.731691i | |||||
− | 315513.i | − | 0.559419i | −0.960085 | − | 0.279710i | ||||
0.960085 | − | 0.279710i | ||||||||
202849. | − | 110020.i | 0.358705 | − | 0.194552i | |||||
768505.i | 1.35537i | |||||||||
−168125. | + | 20996.3i | −0.295726 | + | 0.0369318i | |||||
−257026. | − | 264042.i | −0.450903 | − | 0.463211i | |||||
−197246. | − | 777391.i | −0.345115 | − | 1.36018i | |||||
559184. | 0.975806 | 0.487903 | − | 0.872898i | ||||||
0.487903 | + | 0.872898i | ||||||||
−21608.2 | − | 173024.i | −0.0376080 | − | 0.301140i | |||||
260486.i | 0.452168i | |||||||||
−536828. | − | 243695.i | −0.929412 | − | 0.421909i | |||||
−432702. | −0.747170 | −0.373585 | − | 0.927596i | ||||||
−0.373585 | + | 0.927596i | ||||||||
−440957. | + | 55069.1i | −0.759428 | + | 0.0948414i | |||||
− | 1.33995e6i | − | 2.30165i | |||||||
−113822. | − | 448598.i | −0.195002 | − | 0.768548i | |||||
−60983.4 | − | 62648.1i | −0.104205 | − | 0.107050i | |||||
49269.8 | + | 394520.i | 0.0839698 | + | 0.672375i | |||||
158933. | 0.270161 | |||||||||
560477. | + | 364696.i | 0.950244 | + | 0.618313i | |||||
258310. | 0.436805 | 0.218403 | − | 0.975859i | ||||||
0.218403 | + | 0.975859i | ||||||||
−472548. | − | 377945.i | −0.797011 | − | 0.637451i | |||||
−277433. | −0.466712 | |||||||||
−192594. | − | 759059.i | −0.323154 | − | 1.27362i | |||||
280428. | 0.469312 | 0.234656 | − | 0.972078i | ||||||
0.234656 | + | 0.972078i | ||||||||
−124188. | + | 15509.2i | −0.207299 | + | 0.0258886i | |||||
−1.05445e6 | − | 28401.1i | −1.75558 | − | 0.0472859i | |||||
546563. | − | 213708.i | 0.907647 | − | 0.354893i | |||||
− | 1.00332e6i | − | 1.66187i | |||||||
396504. | − | 49517.5i | 0.655071 | − | 0.0818087i | |||||
938122. | 1.54591 | |||||||||
380141. | + | 233264.i | 0.624820 | + | 0.383406i | |||||
480727.i | 0.788127i | |||||||||
215072. | − | 26859.4i | 0.351699 | − | 0.0439220i | |||||
−228960. | −0.373453 | |||||||||
1.08021e6 | − | 585874.i | 1.75741 | − | 0.953173i | |||||
−496940. | + | 483735.i | −0.806426 | + | 0.784998i | |||||
−368750. | + | 46051.4i | −0.596880 | + | 0.0745415i | |||||
1.17964e6i | 1.90459i | 0.305177 | + | 0.952296i | ||||||
−0.305177 | + | 0.952296i | ||||||||
−742605. | + | 188420.i | −1.19593 | + | 0.303440i | |||||
− | 491136.i | − | 0.788947i | |||||||
144104. | − | 180175.i | 0.230899 | − | 0.288695i | |||||
− | 378540.i | − | 0.605005i | |||||||
−38400.7 | − | 98210.7i | −0.0612193 | − | 0.156570i | |||||
581894.i | 0.925332i | |||||||||
−27379.2 | − | 219235.i | −0.0434291 | − | 0.347751i | |||||
−606633. | − | 623192.i | −0.959824 | − | 0.986024i | |||||
−116649. | − | 459740.i | −0.184100 | − | 0.725582i | |||||
−627511. | −0.987881 | −0.493940 | − | 0.869496i | ||||||
−0.493940 | + | 0.869496i | ||||||||
−1.26633e6 | + | 158146.i | −1.98856 | + | 0.248343i | |||||
136425.i | 0.213698i | |||||||||
−530272. | + | 358345.i | −0.828550 | + | 0.559914i | |||||
−118241. | −0.184290 | |||||||||
20169.1 | + | 161501.i | 0.0313572 | + | 0.251088i | |||||
294510.i | 0.456740i | |||||||||
−103970. | + | 26380.2i | −0.160841 | + | 0.0408099i | |||||
544274. | − | 529812.i | 0.839897 | − | 0.817579i | |||||
732048. | − | 91422.1i | 1.12686 | − | 0.140728i | |||||
590326. | 0.906453 | |||||||||
31988.8 | − | 12507.7i | 0.0489977 | − | 0.0191582i | |||||
−328656. | −0.502163 | −0.251081 | − | 0.967966i | ||||||
−0.251081 | + | 0.967966i | ||||||||
616848. | + | 493356.i | 0.940174 | + | 0.751953i | |||||
510808. | 0.776634 | 0.388317 | − | 0.921526i | ||||||
0.388317 | + | 0.921526i | ||||||||
−129431. | − | 510118.i | −0.196303 | − | 0.773675i | |||||
1.37888e6 | 2.08616 | |||||||||
40957.2 | + | 327958.i | 0.0618132 | + | 0.494960i | |||||
−65095.8 | − | 66872.7i | −0.0980026 | − | 0.100678i | |||||
−347496. | + | 188472.i | −0.521879 | + | 0.283053i | |||||
− | 498923.i | − | 0.747462i | |||||||
155550. | + | 1.24554e6i | 0.232468 | + | 1.86145i | |||||
214284. | 0.319464 | |||||||||
532631. | − | 868007.i | 0.792135 | − | 1.29091i | |||||
37920.6i | 0.0562586i | 0.999604 | + | 0.0281293i | ||||||
−0.999604 | + | 0.0281293i | ||||||||
−75744.7 | − | 606514.i | −0.112101 | − | 0.897630i | |||||
−449975. | −0.664337 | −0.332168 | − | 0.943220i | ||||||
−0.332168 | + | 0.943220i | ||||||||
73188.5 | + | 187182.i | 0.107793 | + | 0.275682i | |||||
454554. | + | 12243.2i | 0.667849 | + | 0.0179882i | |||||
61177.3 | + | 489867.i | 0.0896664 | + | 0.717990i | |||||
41920.8i | 0.0612940i | 0.999530 | + | 0.0306470i | ||||||
−0.999530 | + | 0.0306470i | ||||||||
128304. | − | 32554.4i | 0.187146 | − | 0.0474842i | |||||
− | 1.28858e6i | − | 1.87500i | −0.347985 | − | 0.937500i | ||||
0.347985 | − | 0.937500i | ||||||||
−134048. | + | 167602.i | −0.194583 | + | 0.243289i | |||||
679808.i | 0.984429i | |||||||||
328894. | − | 303614.i | 0.475126 | − | 0.438607i | |||||
726484.i | 1.04697i | |||||||||
1.03671e6 | − | 129470.i | 1.49047 | − | 0.186138i | |||||
371134. | − | 361272.i | 0.532301 | − | 0.518157i | |||||
407471. | − | 103387.i | 0.583021 | − | 0.147929i | |||||
996936. | 1.42304 | |||||||||
−131004. | − | 1.04900e6i | −0.186551 | − | 1.49378i | |||||
− | 506198.i | − | 0.719112i | −0.933124 | − | 0.359556i | ||||
0.933124 | − | 0.359556i | ||||||||
−572647. | + | 1.26147e6i | −0.811575 | + | 1.78780i | |||||
557039. | 0.787579 | |||||||||
713514. | − | 89107.4i | 1.00642 | − | 0.125687i | |||||
719519.i | 1.01248i | |||||||||
−304799. | + | 77335.9i | −0.427886 | + | 0.108567i | |||||
−297715. | + | 289804.i | −0.416953 | + | 0.405874i | |||||
10325.0 | + | 82675.6i | 0.0144261 | + | 0.115514i | |||||
−810968. | −1.13041 | |||||||||
−767241. | + | 416130.i | −1.06694 | + | 0.578679i | |||||
−56941.5 | −0.0789975 | |||||||||
−36761.6 | − | 376569.i | −0.0508811 | − | 0.521203i | |||||
−414874. | −0.572872 | |||||||||
1.06681e6 | − | 270680.i | 1.46963 | − | 0.372887i | |||||
−656590. | −0.902395 | −0.451197 | − | 0.892424i | ||||||
−0.451197 | + | 0.892424i | ||||||||
−1.79353e6 | + | 223986.i | −2.45920 | + | 0.307118i | |||||
152527. | − | 148474.i | 0.208648 | − | 0.203103i | |||||
−995611. | + | 389287.i | −1.35876 | + | 0.531279i | |||||
− | 388067.i | − | 0.528379i | −0.964471 | − | 0.264189i | ||||
0.964471 | − | 0.264189i | ||||||||
−315573. | + | 39410.5i | −0.428673 | + | 0.0535349i | |||||
282145. | 0.382372 | 0.191186 | − | 0.981554i | ||||||
0.191186 | + | 0.981554i | ||||||||
−461633. | − | 283270.i | −0.624166 | − | 0.383004i | |||||
− | 2.20445e6i | − | 2.97368i | |||||||
−599634. | + | 74885.5i | −0.806997 | + | 0.100782i | |||||
1.01110e6 | 1.35761 | 0.678804 | − | 0.734320i | ||||||
0.678804 | + | 0.734320i | ||||||||
491868. | − | 352048.i | 0.658902 | − | 0.471601i | |||||
633007. | − | 616186.i | 0.846011 | − | 0.823531i | |||||
530445. | − | 66244.8i | 0.707301 | − | 0.0883316i | |||||
618484.i | 0.822792i | |||||||||
563568. | + | 2.22115e6i | 0.748009 | + | 2.94807i | |||||
164512.i | 0.217850i | |||||||||
308856. | + | 247023.i | 0.408054 | + | 0.326362i | |||||
71801.7i | 0.0946452i | |||||||||
941178. | − | 368003.i | 1.23777 | − | 0.483970i | |||||
211886.i | 0.278018i | |||||||||
65393.3 | + | 523627.i | 0.0856072 | + | 0.685487i | |||||
−898955. | − | 974676.i | −1.17414 | − | 1.27305i | |||||
653567. | − | 165828.i | 0.851691 | − | 0.216098i | |||||
190192. | 0.247283 | 0.123641 | − | 0.992327i | ||||||
0.123641 | + | 0.992327i | ||||||||
−296152. | + | 36985.0i | −0.384172 | + | 0.0479774i | |||||
875617.i | 1.13328i | |||||||||
135688. | − | 435716.i | 0.175216 | − | 0.562650i | |||||
237801. | 0.306380 | 0.153190 | − | 0.988197i | ||||||
0.153190 | + | 0.988197i | ||||||||
54982.1 | + | 440261.i | 0.0706780 | + | 0.565943i | |||||
− | 175861.i | − | 0.225552i | −0.993620 | − | 0.112776i | ||||
0.993620 | − | 0.112776i | ||||||||
65079.3 | + | 256492.i | 0.0832795 | + | 0.328224i | |||||
−258770. | − | 265834.i | −0.330391 | − | 0.339410i | |||||
438807. | − | 54800.5i | 0.558992 | − | 0.0698099i | |||||
−1.36691e6 | −1.73738 | −0.868688 | − | 0.495360i | ||||||
−0.868688 | + | 0.495360i | ||||||||
704732. | − | 275552.i | 0.893713 | − | 0.349445i | |||||
−923974. | −1.16911 | |||||||||
−399611. | − | 319610.i | −0.504496 | − | 0.403497i | |||||
−563224. | −0.709456 | |||||||||
945678. | − | 239945.i | 1.18854 | − | 0.301566i | |||||
−332148. | −0.416513 | |||||||||
51941.6 | + | 415914.i | 0.0649891 | + | 0.520390i | |||||
424022. | − | 412755.i | 0.529349 | − | 0.515283i | |||||
1.06241e6 | + | 896857.i | 1.32335 | + | 1.11714i | |||||
− | 399207.i | − | 0.496151i | |||||||
−4819.47 | − | 38591.2i | −0.00597650 | − | 0.0478559i | |||||
654181. | 0.809428 | |||||||||
−50777.8 | − | 225425.i | −0.0626886 | − | 0.278302i | |||||
− | 516002.i | − | 0.635626i | |||||||
89989.3 | + | 720575.i | 0.110606 | + | 0.885659i | |||||
−1.17240e6 | −1.43780 | |||||||||
265887. | − | 103962.i | 0.325356 | − | 0.127215i | |||||
131232. | + | 134814.i | 0.160229 | + | 0.164603i | |||||
−74547.0 | − | 596923.i | −0.0908183 | − | 0.727214i | |||||
699123.i | 0.849843i | 0.905230 | + | 0.424922i | ||||||
−0.905230 | + | 0.424922i | ||||||||
−10617.1 | − | 41844.3i | −0.0128775 | − | 0.0507534i | |||||
12401.1i | 0.0150083i | |||||||||
724204. | + | 579220.i | 0.874537 | + | 0.699456i | |||||
1.27217e6i | 1.53288i | 0.642315 | + | 0.766441i | ||||||
−0.642315 | + | 0.766441i | ||||||||
−458865. | − | 846033.i | −0.551690 | − | 1.01718i | |||||
− | 153032.i | − | 0.183586i | |||||||
−1.31629e6 | + | 164386.i | −1.57565 | + | 0.196776i | |||||
973288. | − | 947426.i | 1.16252 | − | 1.13163i | |||||
271124. | + | 1.06856e6i | 0.323130 | + | 1.27353i | |||||
−772672. | −0.918875 | |||||||||
44313.9 | + | 354837.i | 0.0525841 | + | 0.421059i | |||||
507149.i | 0.600488i | 0.953862 | + | 0.300244i | ||||||
−0.953862 | + | 0.300244i | ||||||||
521619. | + | 236790.i | 0.616280 | + | 0.279762i | |||||
248760. | 0.293265 | |||||||||
−344424. | + | 43013.4i | −0.405164 | + | 0.0505991i | |||||
− | 736738.i | − | 0.864788i | |||||||
−242944. | − | 957500.i | −0.284553 | − | 1.12149i | |||||
−19499.7 | + | 723967.i | −0.0227900 | + | 0.846127i | |||||
17678.7 | + | 141560.i | 0.0206172 | + | 0.165089i | |||||
−72564.6 | −0.0844433 | |||||||||
322759. | − | 231011.i | 0.374786 | − | 0.268248i | |||||
−31736.2 | −0.0367725 | −0.0183862 | − | 0.999831i | ||||||
−0.0183862 | + | 0.999831i | ||||||||
−1.34482e6 | − | 1.07559e6i | −1.55488 | − | 1.24360i | |||||
−1.76874e6 | −2.04063 | |||||||||
−329635. | − | 1.29917e6i | −0.379491 | − | 1.49566i | |||||
−1.48258e6 | −1.70315 | |||||||||
−1.16581e6 | + | 145593.i | −1.33640 | + | 0.166896i | |||||
188185. | + | 193322.i | 0.215260 | + | 0.221135i | |||||
58851.0 | + | 150513.i | 0.0671742 | + | 0.171800i | |||||
1.23459e6i | 1.40619i | 0.711096 | + | 0.703094i | ||||||
−0.711096 | + | 0.703094i | ||||||||
−221309. | + | 27638.3i | −0.251532 | + | 0.0314127i | |||||
−156.930 | −0.000177981 | |||||||||
−188581. | + | 307323.i | −0.213424 | + | 0.347808i | |||||
126651.i | 0.143031i | 0.997439 | + | 0.0715156i | ||||||
−0.997439 | + | 0.0715156i | ||||||||
−1.12344e6 | + | 140301.i | −1.26604 | + | 0.158110i | |||||
−911544. | −1.02507 | |||||||||
−327281. | + | 177508.i | −0.367263 | + | 0.199193i | |||||
874110. | + | 897970.i | 0.978819 | + | 1.00554i | |||||
383224. | − | 47859.1i | 0.428224 | − | 0.0534789i | |||||
213933.i | 0.238549i | 0.992861 | + | 0.119275i | ||||||
−0.992861 | + | 0.119275i | ||||||||
365079. | − | 92630.6i | 0.406228 | − | 0.103071i | |||||
− | 451352.i | − | 0.501168i | |||||||
916817. | − | 89501.9i | 1.01586 | − | 0.0991711i | |||||
− | 202771.i | − | 0.224205i | |||||||
−765517. | + | 299320.i | −0.844659 | + | 0.330264i | |||||
− | 281174.i | − | 0.309592i | −0.987946 | − | 0.154796i | ||||
0.987946 | − | 0.154796i | ||||||||
−39052.3 | − | 312705.i | −0.0429092 | − | 0.343588i | |||||
504410. | + | 518179.i | 0.553066 | + | 0.568163i | |||||
144031. | + | 567658.i | 0.157594 | + | 0.621113i | |||||
−282006. | −0.307918 | |||||||||
1.72869e6 | − | 215888.i | 1.88359 | − | 0.235233i | |||||
− | 1.27088e6i | − | 1.38187i | |||||||
−1.04333e6 | − | 55776.8i | −1.13208 | − | 0.0605217i | |||||
−1.92491e6 | −2.08431 | |||||||||
−62769.0 | − | 502613.i | −0.0678258 | − | 0.543104i | |||||
− | 385968.i | − | 0.416197i | |||||||
−756135. | + | 191853.i | −0.813665 | + | 0.206449i | |||||
853496. | + | 876794.i | 0.916530 | + | 0.941549i | |||||
1.23045e6 | − | 153665.i | 1.31859 | − | 0.164672i | |||||
1.15290e6 | 1.23293 | 0.616467 | − | 0.787381i | ||||||
0.616467 | + | 0.787381i | ||||||||
−222724. | − | 569623.i | −0.237693 | − | 0.607907i | |||||
568994. | 0.605982 | |||||||||
−572738. | + | 716099.i | −0.608712 | + | 0.761079i | |||||
857201. | 0.909169 | 0.454584 | − | 0.890704i | ||||||
0.454584 | + | 0.890704i | ||||||||
128857. | + | 507856.i | 0.136388 | + | 0.537537i | |||||
2.17230e6 | 2.29453 | |||||||||
−92835.8 | − | 743368.i | −0.0978583 | − | 0.783585i | |||||
−696628. | − | 18763.4i | −0.732810 | − | 0.0197379i | |||||
−649903. | − | 1.19826e6i | −0.682259 | − | 1.25792i | |||||
− | 1.68459e6i | − | 1.76484i | −0.470464 | − | 0.882419i | ||||
0.470464 | − | 0.882419i | ||||||||
−18880.2 | − | 151180.i | −0.0197391 | − | 0.158058i | |||||
364872. | 0.380693 | |||||||||
−1.00423e6 | + | 1.63654e6i | −1.04563 | + | 1.70402i | |||||
364866.i | 0.379136i | |||||||||
142597. | + | 1.14183e6i | 0.147873 | + | 1.18407i | |||||
501269. | 0.518756 | 0.259378 | − | 0.965776i | ||||||
0.259378 | + | 0.965776i | ||||||||
1.54841e6 | − | 605432.i | 1.59917 | − | 0.625281i | |||||
857788. | − | 834995.i | 0.884112 | − | 0.860620i | |||||
29078.4 | + | 232841.i | 0.0299100 | + | 0.239500i | |||||
780500.i | 0.801195i | |||||||||
−624471. | + | 158446.i | −0.639732 | + | 0.162318i | |||||
484787.i | 0.495631i | |||||||||
128674. | + | 102914.i | 0.131287 | + | 0.105003i | |||||
− | 650776.i | − | 0.662650i | −0.943517 | − | 0.331325i | ||||
0.943517 | − | 0.331325i | ||||||||
−1.40536e6 | + | 1.00587e6i | −1.42811 | + | 1.02216i | |||||
− | 563058.i | − | 0.571024i | |||||||
2.27080e6 | − | 283589.i | 2.29829 | − | 0.287023i | |||||
516938. | + | 531049.i | 0.522146 | + | 0.536400i | |||||
−339603. | + | 86166.8i | −0.342336 | + | 0.0868603i | |||||
724549. | 0.728916 | 0.364458 | − | 0.931220i | ||||||
0.364458 | + | 0.931220i | ||||||||
−86959.2 | − | 696313.i | −0.0873081 | − | 0.699106i | |||||
− | 684480.i | − | 0.685851i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 40.5.e.c.19.9 | ✓ | 20 | |
4.3 | odd | 2 | 160.5.e.c.79.6 | 20 | |||
5.2 | odd | 4 | 200.5.g.i.51.19 | 20 | |||
5.3 | odd | 4 | 200.5.g.i.51.2 | 20 | |||
5.4 | even | 2 | inner | 40.5.e.c.19.12 | yes | 20 | |
8.3 | odd | 2 | inner | 40.5.e.c.19.11 | yes | 20 | |
8.5 | even | 2 | 160.5.e.c.79.5 | 20 | |||
20.3 | even | 4 | 800.5.g.i.751.16 | 20 | |||
20.7 | even | 4 | 800.5.g.i.751.5 | 20 | |||
20.19 | odd | 2 | 160.5.e.c.79.15 | 20 | |||
40.3 | even | 4 | 200.5.g.i.51.1 | 20 | |||
40.13 | odd | 4 | 800.5.g.i.751.15 | 20 | |||
40.19 | odd | 2 | inner | 40.5.e.c.19.10 | yes | 20 | |
40.27 | even | 4 | 200.5.g.i.51.20 | 20 | |||
40.29 | even | 2 | 160.5.e.c.79.16 | 20 | |||
40.37 | odd | 4 | 800.5.g.i.751.6 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
40.5.e.c.19.9 | ✓ | 20 | 1.1 | even | 1 | trivial | |
40.5.e.c.19.10 | yes | 20 | 40.19 | odd | 2 | inner | |
40.5.e.c.19.11 | yes | 20 | 8.3 | odd | 2 | inner | |
40.5.e.c.19.12 | yes | 20 | 5.4 | even | 2 | inner | |
160.5.e.c.79.5 | 20 | 8.5 | even | 2 | |||
160.5.e.c.79.6 | 20 | 4.3 | odd | 2 | |||
160.5.e.c.79.15 | 20 | 20.19 | odd | 2 | |||
160.5.e.c.79.16 | 20 | 40.29 | even | 2 | |||
200.5.g.i.51.1 | 20 | 40.3 | even | 4 | |||
200.5.g.i.51.2 | 20 | 5.3 | odd | 4 | |||
200.5.g.i.51.19 | 20 | 5.2 | odd | 4 | |||
200.5.g.i.51.20 | 20 | 40.27 | even | 4 | |||
800.5.g.i.751.5 | 20 | 20.7 | even | 4 | |||
800.5.g.i.751.6 | 20 | 40.37 | odd | 4 | |||
800.5.g.i.751.15 | 20 | 40.13 | odd | 4 | |||
800.5.g.i.751.16 | 20 | 20.3 | even | 4 |