Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(184,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.184");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.r (of order \(6\), degree \(2\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 184.14 | ||
Character | \(\chi\) | \(=\) | 315.184 |
Dual form | 315.2.r.b.214.29 |
$q$-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 \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.08755i | − | 0.769016i | −0.923122 | − | 0.384508i | \(-0.874371\pi\) | ||
0.923122 | − | 0.384508i | \(-0.125629\pi\) | |||||||
\(3\) | −0.137009 | + | 1.72662i | −0.0791024 | + | 0.996866i | ||||
\(4\) | 0.817229 | 0.408615 | ||||||||
\(5\) | −0.940709 | + | 2.02856i | −0.420698 | + | 0.907201i | ||||
\(6\) | 1.87779 | + | 0.149005i | 0.766606 | + | 0.0608310i | ||||
\(7\) | −1.34619 | + | 2.27767i | −0.508812 | + | 0.860878i | ||||
\(8\) | − | 3.06389i | − | 1.08325i | ||||||
\(9\) | −2.96246 | − | 0.473127i | −0.987486 | − | 0.157709i | ||||
\(10\) | 2.20617 | + | 1.02307i | 0.697652 | + | 0.323523i | ||||
\(11\) | −0.449548 | + | 0.778641i | −0.135544 | + | 0.234769i | −0.925805 | − | 0.378001i | \(-0.876612\pi\) |
0.790261 | + | 0.612770i | \(0.209945\pi\) | |||||||
\(12\) | −0.111968 | + | 1.41105i | −0.0323224 | + | 0.407334i | ||||
\(13\) | 4.10888 | + | 2.37226i | 1.13960 | + | 0.657947i | 0.946331 | − | 0.323200i | \(-0.104759\pi\) |
0.193266 | + | 0.981146i | \(0.438092\pi\) | |||||||
\(14\) | 2.47708 | + | 1.46405i | 0.662029 | + | 0.391285i | ||||
\(15\) | −3.37368 | − | 1.90218i | −0.871080 | − | 0.491141i | ||||
\(16\) | −1.69768 | −0.424419 | ||||||||
\(17\) | −4.82187 | + | 2.78391i | −1.16947 | + | 0.675197i | −0.953556 | − | 0.301215i | \(-0.902608\pi\) |
−0.215918 | + | 0.976411i | \(0.569275\pi\) | |||||||
\(18\) | −0.514551 | + | 3.22183i | −0.121281 | + | 0.759392i | ||||
\(19\) | −1.83472 | + | 3.17783i | −0.420914 | + | 0.729044i | −0.996029 | − | 0.0890281i | \(-0.971624\pi\) |
0.575115 | + | 0.818072i | \(0.304957\pi\) | |||||||
\(20\) | −0.768775 | + | 1.65780i | −0.171903 | + | 0.370696i | ||||
\(21\) | −3.74823 | − | 2.63643i | −0.817932 | − | 0.575315i | ||||
\(22\) | 0.846813 | + | 0.488908i | 0.180541 | + | 0.104235i | ||||
\(23\) | 4.32806 | − | 2.49880i | 0.902462 | − | 0.521037i | 0.0244639 | − | 0.999701i | \(-0.492212\pi\) |
0.877998 | + | 0.478664i | \(0.158879\pi\) | |||||||
\(24\) | 5.29018 | + | 0.419781i | 1.07985 | + | 0.0856874i | ||||
\(25\) | −3.23013 | − | 3.81657i | −0.646027 | − | 0.763315i | ||||
\(26\) | 2.57996 | − | 4.46862i | 0.505971 | − | 0.876368i | ||||
\(27\) | 1.22280 | − | 5.05022i | 0.235327 | − | 0.971916i | ||||
\(28\) | −1.10015 | + | 1.86138i | −0.207908 | + | 0.351767i | ||||
\(29\) | 2.42600 | + | 4.20195i | 0.450497 | + | 0.780283i | 0.998417 | − | 0.0562474i | \(-0.0179136\pi\) |
−0.547920 | + | 0.836531i | \(0.684580\pi\) | |||||||
\(30\) | −2.06872 | + | 3.66905i | −0.377695 | + | 0.669874i | ||||
\(31\) | 5.92329 | 1.06385 | 0.531927 | − | 0.846790i | \(-0.321468\pi\) | ||||
0.531927 | + | 0.846790i | \(0.321468\pi\) | |||||||
\(32\) | − | 4.28146i | − | 0.756862i | ||||||
\(33\) | −1.28283 | − | 0.882882i | −0.223312 | − | 0.153690i | ||||
\(34\) | 3.02765 | + | 5.24404i | 0.519237 | + | 0.899345i | ||||
\(35\) | −3.35402 | − | 4.87345i | −0.566933 | − | 0.823764i | ||||
\(36\) | −2.42101 | − | 0.386653i | −0.403501 | − | 0.0644422i | ||||
\(37\) | 7.91515 | + | 4.56982i | 1.30124 | + | 0.751273i | 0.980617 | − | 0.195933i | \(-0.0627734\pi\) |
0.320626 | + | 0.947206i | \(0.396107\pi\) | |||||||
\(38\) | 3.45606 | + | 1.99536i | 0.560647 | + | 0.323689i | ||||
\(39\) | −4.65896 | + | 6.76946i | −0.746030 | + | 1.08398i | ||||
\(40\) | 6.21528 | + | 2.88222i | 0.982723 | + | 0.455719i | ||||
\(41\) | 1.70982 | − | 2.96149i | 0.267029 | − | 0.462508i | −0.701064 | − | 0.713098i | \(-0.747291\pi\) |
0.968093 | + | 0.250590i | \(0.0806247\pi\) | |||||||
\(42\) | −2.86725 | + | 4.07640i | −0.442426 | + | 0.629003i | ||||
\(43\) | 4.49284 | − | 2.59394i | 0.685152 | − | 0.395573i | −0.116642 | − | 0.993174i | \(-0.537213\pi\) |
0.801793 | + | 0.597602i | \(0.203880\pi\) | |||||||
\(44\) | −0.367384 | + | 0.636328i | −0.0553852 | + | 0.0959301i | ||||
\(45\) | 3.74658 | − | 5.56446i | 0.558507 | − | 0.829500i | ||||
\(46\) | −2.71758 | − | 4.70699i | −0.400686 | − | 0.694008i | ||||
\(47\) | − | 9.17076i | − | 1.33769i | −0.743400 | − | 0.668847i | \(-0.766788\pi\) | ||
0.743400 | − | 0.668847i | \(-0.233212\pi\) | |||||||
\(48\) | 0.232598 | − | 2.93125i | 0.0335726 | − | 0.423090i | ||||
\(49\) | −3.37554 | − | 6.13235i | −0.482221 | − | 0.876050i | ||||
\(50\) | −4.15072 | + | 3.51294i | −0.587001 | + | 0.496805i | ||||
\(51\) | −4.14612 | − | 8.70697i | −0.580573 | − | 1.21922i | ||||
\(52\) | 3.35789 | + | 1.93868i | 0.465656 | + | 0.268847i | ||||
\(53\) | −4.50327 | + | 2.59996i | −0.618571 | + | 0.357132i | −0.776313 | − | 0.630348i | \(-0.782912\pi\) |
0.157741 | + | 0.987480i | \(0.449579\pi\) | |||||||
\(54\) | −5.49239 | − | 1.32986i | −0.747419 | − | 0.180970i | ||||
\(55\) | −1.15663 | − | 1.64441i | −0.155960 | − | 0.221732i | ||||
\(56\) | 6.97851 | + | 4.12457i | 0.932543 | + | 0.551169i | ||||
\(57\) | −5.23554 | − | 3.60327i | −0.693465 | − | 0.477264i | ||||
\(58\) | 4.56985 | − | 2.63840i | 0.600050 | − | 0.346439i | ||||
\(59\) | 1.20627 | 0.157043 | 0.0785215 | − | 0.996912i | \(-0.474980\pi\) | ||||
0.0785215 | + | 0.996912i | \(0.474980\pi\) | |||||||
\(60\) | −2.75707 | − | 1.55452i | −0.355936 | − | 0.200687i | ||||
\(61\) | −2.78377 | −0.356425 | −0.178213 | − | 0.983992i | \(-0.557032\pi\) | ||||
−0.178213 | + | 0.983992i | \(0.557032\pi\) | |||||||
\(62\) | − | 6.44189i | − | 0.818120i | ||||||
\(63\) | 5.06566 | − | 6.11057i | 0.638213 | − | 0.769860i | ||||
\(64\) | −8.05166 | −1.00646 | ||||||||
\(65\) | −8.67753 | + | 6.10351i | −1.07632 | + | 0.757047i | ||||
\(66\) | −0.960180 | + | 1.39514i | −0.118190 | + | 0.171730i | ||||
\(67\) | − | 0.197198i | − | 0.0240916i | −0.999927 | − | 0.0120458i | \(-0.996166\pi\) | ||
0.999927 | − | 0.0120458i | \(-0.00383439\pi\) | |||||||
\(68\) | −3.94057 | + | 2.27509i | −0.477865 | + | 0.275895i | ||||
\(69\) | 3.72151 | + | 7.81528i | 0.448017 | + | 0.940849i | ||||
\(70\) | −5.30014 | + | 3.64767i | −0.633488 | + | 0.435980i | ||||
\(71\) | −8.28511 | −0.983262 | −0.491631 | − | 0.870804i | \(-0.663599\pi\) | ||||
−0.491631 | + | 0.870804i | \(0.663599\pi\) | |||||||
\(72\) | −1.44961 | + | 9.07663i | −0.170838 | + | 1.06969i | ||||
\(73\) | 6.62001 | − | 3.82206i | 0.774813 | − | 0.447339i | −0.0597758 | − | 0.998212i | \(-0.519039\pi\) |
0.834589 | + | 0.550873i | \(0.185705\pi\) | |||||||
\(74\) | 4.96992 | − | 8.60815i | 0.577741 | − | 1.00068i | ||||
\(75\) | 7.03234 | − | 5.05432i | 0.812025 | − | 0.583623i | ||||
\(76\) | −1.49939 | + | 2.59702i | −0.171992 | + | 0.297898i | ||||
\(77\) | −1.16831 | − | 2.07212i | −0.133141 | − | 0.236140i | ||||
\(78\) | 7.36214 | + | 5.06686i | 0.833599 | + | 0.573709i | ||||
\(79\) | 3.14682 | 0.354045 | 0.177023 | − | 0.984207i | \(-0.443353\pi\) | ||||
0.177023 | + | 0.984207i | \(0.443353\pi\) | |||||||
\(80\) | 1.59702 | − | 3.44385i | 0.178552 | − | 0.385034i | ||||
\(81\) | 8.55230 | + | 2.80324i | 0.950256 | + | 0.311471i | ||||
\(82\) | −3.22078 | − | 1.85952i | −0.355676 | − | 0.205350i | ||||
\(83\) | 9.96810 | − | 5.75509i | 1.09414 | − | 0.631703i | 0.159466 | − | 0.987203i | \(-0.449023\pi\) |
0.934676 | + | 0.355501i | \(0.115690\pi\) | |||||||
\(84\) | −3.06317 | − | 2.15456i | −0.334219 | − | 0.235082i | ||||
\(85\) | −1.11136 | − | 12.4003i | −0.120544 | − | 1.34500i | ||||
\(86\) | −2.82105 | − | 4.88620i | −0.304202 | − | 0.526893i | ||||
\(87\) | −7.58758 | + | 3.61308i | −0.813474 | + | 0.387363i | ||||
\(88\) | 2.38567 | + | 1.37736i | 0.254313 | + | 0.146828i | ||||
\(89\) | 0.723450 | − | 1.25305i | 0.0766856 | − | 0.132823i | −0.825132 | − | 0.564939i | \(-0.808900\pi\) |
0.901818 | + | 0.432116i | \(0.142233\pi\) | |||||||
\(90\) | −6.05164 | − | 4.07460i | −0.637899 | − | 0.429500i | ||||
\(91\) | −10.9346 | + | 6.16514i | −1.14625 | + | 0.646282i | ||||
\(92\) | 3.53701 | − | 2.04210i | 0.368759 | − | 0.212903i | ||||
\(93\) | −0.811546 | + | 10.2273i | −0.0841534 | + | 1.06052i | ||||
\(94\) | −9.97369 | −1.02871 | ||||||||
\(95\) | −4.72049 | − | 6.71126i | −0.484312 | − | 0.688561i | ||||
\(96\) | 7.39246 | + | 0.586599i | 0.754490 | + | 0.0598696i | ||||
\(97\) | −13.8177 | + | 7.97765i | −1.40297 | + | 0.810008i | −0.994697 | − | 0.102850i | \(-0.967204\pi\) |
−0.408278 | + | 0.912858i | \(0.633870\pi\) | |||||||
\(98\) | −6.66925 | + | 3.67108i | −0.673696 | + | 0.370835i | ||||
\(99\) | 1.70016 | − | 2.09400i | 0.170873 | − | 0.210455i | ||||
\(100\) | −2.63976 | − | 3.11902i | −0.263976 | − | 0.311902i | ||||
\(101\) | −4.31602 | + | 7.47556i | −0.429460 | + | 0.743846i | −0.996825 | − | 0.0796200i | \(-0.974629\pi\) |
0.567366 | + | 0.823466i | \(0.307963\pi\) | |||||||
\(102\) | −9.46929 | + | 4.50912i | −0.937599 | + | 0.446470i | ||||
\(103\) | −2.14502 | + | 1.23843i | −0.211355 | + | 0.122026i | −0.601941 | − | 0.798541i | \(-0.705606\pi\) |
0.390586 | + | 0.920567i | \(0.372272\pi\) | |||||||
\(104\) | 7.26833 | − | 12.5891i | 0.712719 | − | 1.23447i | ||||
\(105\) | 8.87415 | − | 5.12342i | 0.866028 | − | 0.499995i | ||||
\(106\) | 2.82760 | + | 4.89754i | 0.274640 | + | 0.475691i | ||||
\(107\) | 12.2855 | + | 7.09301i | 1.18768 | + | 0.685707i | 0.957779 | − | 0.287507i | \(-0.0928263\pi\) |
0.229901 | + | 0.973214i | \(0.426160\pi\) | |||||||
\(108\) | 0.999305 | − | 4.12719i | 0.0961582 | − | 0.397139i | ||||
\(109\) | −8.86242 | − | 15.3502i | −0.848866 | − | 1.47028i | −0.882221 | − | 0.470836i | \(-0.843952\pi\) |
0.0333544 | − | 0.999444i | \(-0.489381\pi\) | |||||||
\(110\) | −1.78838 | + | 1.25789i | −0.170516 | + | 0.119935i | ||||
\(111\) | −8.97480 | + | 13.0404i | −0.851850 | + | 1.23774i | ||||
\(112\) | 2.28540 | − | 3.86675i | 0.215950 | − | 0.365373i | ||||
\(113\) | 9.26695 | + | 5.35028i | 0.871761 | + | 0.503312i | 0.867933 | − | 0.496681i | \(-0.165448\pi\) |
0.00382807 | + | 0.999993i | \(0.498781\pi\) | |||||||
\(114\) | −3.91874 | + | 5.69393i | −0.367024 | + | 0.533285i | ||||
\(115\) | 0.997543 | + | 11.1304i | 0.0930213 | + | 1.03791i | ||||
\(116\) | 1.98260 | + | 3.43396i | 0.184080 | + | 0.318835i | ||||
\(117\) | −11.0500 | − | 8.97174i | −1.02157 | − | 0.829438i | ||||
\(118\) | − | 1.31188i | − | 0.120769i | ||||||
\(119\) | 0.150336 | − | 14.7303i | 0.0137813 | − | 1.35032i | ||||
\(120\) | −5.82807 | + | 10.3366i | −0.532027 | + | 0.943595i | ||||
\(121\) | 5.09581 | + | 8.82621i | 0.463256 | + | 0.802382i | ||||
\(122\) | 3.02750i | 0.274097i | ||||||||
\(123\) | 4.87913 | + | 3.35797i | 0.439936 | + | 0.302778i | ||||
\(124\) | 4.84068 | 0.434706 | ||||||||
\(125\) | 10.7808 | − | 2.96225i | 0.964262 | − | 0.264952i | ||||
\(126\) | −6.64557 | − | 5.50917i | −0.592035 | − | 0.490796i | ||||
\(127\) | − | 11.4930i | − | 1.01984i | −0.860222 | − | 0.509919i | \(-0.829675\pi\) | ||
0.860222 | − | 0.509919i | \(-0.170325\pi\) | |||||||
\(128\) | 0.193696i | 0.0171205i | ||||||||
\(129\) | 3.86320 | + | 8.11284i | 0.340136 | + | 0.714296i | ||||
\(130\) | 6.63789 | + | 9.43728i | 0.582181 | + | 0.827704i | ||||
\(131\) | 2.11637 | + | 3.66567i | 0.184908 | + | 0.320271i | 0.943546 | − | 0.331243i | \(-0.107468\pi\) |
−0.758637 | + | 0.651513i | \(0.774134\pi\) | |||||||
\(132\) | −1.04836 | − | 0.721517i | −0.0912483 | − | 0.0628000i | ||||
\(133\) | −4.76816 | − | 8.45685i | −0.413452 | − | 0.733302i | ||||
\(134\) | −0.214464 | −0.0185268 | ||||||||
\(135\) | 9.09440 | + | 7.23131i | 0.782722 | + | 0.622372i | ||||
\(136\) | 8.52957 | + | 14.7736i | 0.731405 | + | 1.26683i | ||||
\(137\) | −7.57113 | − | 4.37120i | −0.646845 | − | 0.373456i | 0.140401 | − | 0.990095i | \(-0.455161\pi\) |
−0.787247 | + | 0.616638i | \(0.788494\pi\) | |||||||
\(138\) | 8.49953 | − | 4.04734i | 0.723528 | − | 0.344532i | ||||
\(139\) | 3.23489 | − | 5.60299i | 0.274379 | − | 0.475239i | −0.695599 | − | 0.718430i | \(-0.744861\pi\) |
0.969978 | + | 0.243191i | \(0.0781942\pi\) | |||||||
\(140\) | −2.74100 | − | 3.98273i | −0.231657 | − | 0.336602i | ||||
\(141\) | 15.8345 | + | 1.25648i | 1.33350 | + | 0.105815i | ||||
\(142\) | 9.01050i | 0.756144i | ||||||||
\(143\) | −3.69428 | + | 2.13289i | −0.308931 | + | 0.178361i | ||||
\(144\) | 5.02930 | + | 0.803217i | 0.419108 | + | 0.0669348i | ||||
\(145\) | −10.8061 | + | 0.968478i | −0.897397 | + | 0.0804277i | ||||
\(146\) | −4.15669 | − | 7.19961i | −0.344010 | − | 0.595844i | ||||
\(147\) | 11.0507 | − | 4.98810i | 0.911450 | − | 0.411412i | ||||
\(148\) | 6.46850 | + | 3.73459i | 0.531707 | + | 0.306981i | ||||
\(149\) | 8.24920 | + | 14.2880i | 0.675801 | + | 1.17052i | 0.976234 | + | 0.216718i | \(0.0695353\pi\) |
−0.300433 | + | 0.953803i | \(0.597131\pi\) | |||||||
\(150\) | −5.49684 | − | 7.64804i | −0.448815 | − | 0.624460i | ||||
\(151\) | 4.00545 | − | 6.93764i | 0.325959 | − | 0.564577i | −0.655747 | − | 0.754981i | \(-0.727646\pi\) |
0.981706 | + | 0.190403i | \(0.0609796\pi\) | |||||||
\(152\) | 9.73651 | + | 5.62138i | 0.789735 | + | 0.455954i | ||||
\(153\) | 15.6017 | − | 5.96585i | 1.26132 | − | 0.482310i | ||||
\(154\) | −2.25354 | + | 1.27060i | −0.181595 | + | 0.102388i | ||||
\(155\) | −5.57209 | + | 12.0158i | −0.447561 | + | 0.965129i | ||||
\(156\) | −3.80743 | + | 5.53220i | −0.304839 | + | 0.442931i | ||||
\(157\) | 3.12095i | 0.249079i | 0.992215 | + | 0.124539i | \(0.0397453\pi\) | ||||
−0.992215 | + | 0.124539i | \(0.960255\pi\) | |||||||
\(158\) | − | 3.42233i | − | 0.272266i | ||||||
\(159\) | −3.87217 | − | 8.13167i | −0.307083 | − | 0.644883i | ||||
\(160\) | 8.68520 | + | 4.02760i | 0.686626 | + | 0.318410i | ||||
\(161\) | −0.134940 | + | 13.2217i | −0.0106348 | + | 1.04202i | ||||
\(162\) | 3.04867 | − | 9.30108i | 0.239526 | − | 0.730762i | ||||
\(163\) | −16.5250 | − | 9.54073i | −1.29434 | − | 0.747288i | −0.314920 | − | 0.949118i | \(-0.601978\pi\) |
−0.979421 | + | 0.201830i | \(0.935311\pi\) | |||||||
\(164\) | 1.39731 | − | 2.42022i | 0.109112 | − | 0.188987i | ||||
\(165\) | 2.99775 | − | 1.77176i | 0.233374 | − | 0.137931i | ||||
\(166\) | −6.25896 | − | 10.8408i | −0.485790 | − | 0.841412i | ||||
\(167\) | 8.91914 | + | 5.14947i | 0.690184 | + | 0.398478i | 0.803681 | − | 0.595060i | \(-0.202872\pi\) |
−0.113497 | + | 0.993538i | \(0.536205\pi\) | |||||||
\(168\) | −8.07770 | + | 11.4842i | −0.623208 | + | 0.886022i | ||||
\(169\) | 4.75524 | + | 8.23632i | 0.365788 | + | 0.633563i | ||||
\(170\) | −13.4860 | + | 1.20866i | −1.03433 | + | 0.0927000i | ||||
\(171\) | 6.93880 | − | 8.54613i | 0.530623 | − | 0.653539i | ||||
\(172\) | 3.67168 | − | 2.11985i | 0.279963 | − | 0.161637i | ||||
\(173\) | 17.6048i | 1.33847i | 0.743052 | + | 0.669234i | \(0.233377\pi\) | ||||
−0.743052 | + | 0.669234i | \(0.766623\pi\) | |||||||
\(174\) | 3.92942 | + | 8.25189i | 0.297888 | + | 0.625574i | ||||
\(175\) | 13.0413 | − | 2.21934i | 0.985827 | − | 0.167766i | ||||
\(176\) | 0.763188 | − | 1.32188i | 0.0575275 | − | 0.0996405i | ||||
\(177\) | −0.165270 | + | 2.08277i | −0.0124225 | + | 0.156551i | ||||
\(178\) | −1.36276 | − | 0.786790i | −0.102143 | − | 0.0589724i | ||||
\(179\) | 1.55582 | + | 2.69476i | 0.116288 | + | 0.201416i | 0.918294 | − | 0.395900i | \(-0.129567\pi\) |
−0.802006 | + | 0.597316i | \(0.796234\pi\) | |||||||
\(180\) | 3.06181 | − | 4.54744i | 0.228214 | − | 0.338946i | ||||
\(181\) | 21.6100 | 1.60626 | 0.803130 | − | 0.595803i | \(-0.203166\pi\) | ||||
0.803130 | + | 0.595803i | \(0.203166\pi\) | |||||||
\(182\) | 6.70492 | + | 11.8919i | 0.497001 | + | 0.881486i | ||||
\(183\) | 0.381403 | − | 4.80653i | 0.0281941 | − | 0.355309i | ||||
\(184\) | −7.65605 | − | 13.2607i | −0.564411 | − | 0.977589i | ||||
\(185\) | −16.7160 | + | 11.7575i | −1.22899 | + | 0.864430i | ||||
\(186\) | 11.1227 | + | 0.882599i | 0.815557 | + | 0.0647153i | ||||
\(187\) | − | 5.00600i | − | 0.366075i | ||||||
\(188\) | − | 7.49462i | − | 0.546601i | ||||||
\(189\) | 9.85662 | + | 9.58369i | 0.716964 | + | 0.697111i | ||||
\(190\) | −7.29885 | + | 5.13378i | −0.529514 | + | 0.372444i | ||||
\(191\) | −5.55741 | −0.402120 | −0.201060 | − | 0.979579i | \(-0.564439\pi\) | ||||
−0.201060 | + | 0.979579i | \(0.564439\pi\) | |||||||
\(192\) | 1.10315 | − | 13.9022i | 0.0796132 | − | 1.00330i | ||||
\(193\) | 8.02088i | 0.577356i | 0.957426 | + | 0.288678i | \(0.0932157\pi\) | ||||
−0.957426 | + | 0.288678i | \(0.906784\pi\) | |||||||
\(194\) | 8.67611 | + | 15.0275i | 0.622909 | + | 1.07891i | ||||
\(195\) | −9.34956 | − | 15.8191i | −0.669536 | − | 1.13283i | ||||
\(196\) | −2.75859 | − | 5.01154i | −0.197042 | − | 0.357967i | ||||
\(197\) | 1.41139i | 0.100557i | 0.998735 | + | 0.0502786i | \(0.0160109\pi\) | ||||
−0.998735 | + | 0.0502786i | \(0.983989\pi\) | |||||||
\(198\) | −2.27733 | − | 1.84902i | −0.161843 | − | 0.131404i | ||||
\(199\) | −12.2848 | − | 21.2779i | −0.870845 | − | 1.50835i | −0.861124 | − | 0.508395i | \(-0.830239\pi\) |
−0.00972071 | − | 0.999953i | \(-0.503094\pi\) | |||||||
\(200\) | −11.6935 | + | 9.89676i | −0.826858 | + | 0.699807i | ||||
\(201\) | 0.340487 | + | 0.0270180i | 0.0240161 | + | 0.00190570i | ||||
\(202\) | 8.13007 | + | 4.69390i | 0.572029 | + | 0.330261i | ||||
\(203\) | −12.8365 | − | 0.131009i | −0.900947 | − | 0.00919500i | ||||
\(204\) | −3.38833 | − | 7.11559i | −0.237230 | − | 0.498191i | ||||
\(205\) | 4.39914 | + | 6.25438i | 0.307249 | + | 0.436825i | ||||
\(206\) | 1.34686 | + | 2.33282i | 0.0938399 | + | 0.162536i | ||||
\(207\) | −14.0039 | + | 5.35488i | −0.973341 | + | 0.372190i | ||||
\(208\) | −6.97555 | − | 4.02733i | −0.483667 | − | 0.279245i | ||||
\(209\) | −1.64959 | − | 2.85718i | −0.114105 | − | 0.197635i | ||||
\(210\) | −5.57199 | − | 9.65111i | −0.384504 | − | 0.665990i | ||||
\(211\) | 6.68390 | − | 11.5769i | 0.460139 | − | 0.796983i | −0.538829 | − | 0.842415i | \(-0.681133\pi\) |
0.998967 | + | 0.0454319i | \(0.0144664\pi\) | |||||||
\(212\) | −3.68020 | + | 2.12477i | −0.252757 | + | 0.145930i | ||||
\(213\) | 1.13514 | − | 14.3053i | 0.0777784 | − | 0.980181i | ||||
\(214\) | 7.71402 | − | 13.3611i | 0.527320 | − | 0.913345i | ||||
\(215\) | 1.03552 | + | 11.5542i | 0.0706220 | + | 0.787987i | ||||
\(216\) | −15.4733 | − | 3.74651i | −1.05283 | − | 0.254918i | ||||
\(217\) | −7.97387 | + | 13.4913i | −0.541302 | + | 0.915848i | ||||
\(218\) | −16.6941 | + | 9.63835i | −1.13067 | + | 0.652792i | ||||
\(219\) | 5.69226 | + | 11.9539i | 0.384647 | + | 0.807771i | ||||
\(220\) | −0.945230 | − | 1.34386i | −0.0637274 | − | 0.0906031i | ||||
\(221\) | −26.4166 | −1.77697 | ||||||||
\(222\) | 14.1821 | + | 9.76057i | 0.951840 | + | 0.655086i | ||||
\(223\) | −21.3419 | + | 12.3217i | −1.42916 | + | 0.825125i | −0.997054 | − | 0.0766985i | \(-0.975562\pi\) |
−0.432104 | + | 0.901824i | \(0.642229\pi\) | |||||||
\(224\) | 9.75174 | + | 5.76365i | 0.651565 | + | 0.385100i | ||||
\(225\) | 7.76341 | + | 12.8347i | 0.517561 | + | 0.855646i | ||||
\(226\) | 5.81871 | − | 10.0783i | 0.387055 | − | 0.670398i | ||||
\(227\) | −11.8033 | − | 6.81464i | −0.783413 | − | 0.452304i | 0.0542254 | − | 0.998529i | \(-0.482731\pi\) |
−0.837639 | + | 0.546225i | \(0.816064\pi\) | |||||||
\(228\) | −4.27864 | − | 2.94469i | −0.283360 | − | 0.195017i | ||||
\(229\) | −1.06655 | − | 1.84732i | −0.0704798 | − | 0.122075i | 0.828632 | − | 0.559794i | \(-0.189120\pi\) |
−0.899112 | + | 0.437719i | \(0.855786\pi\) | |||||||
\(230\) | 12.1049 | − | 1.08488i | 0.798172 | − | 0.0715349i | ||||
\(231\) | 3.73784 | − | 1.73333i | 0.245932 | − | 0.114045i | ||||
\(232\) | 12.8743 | − | 7.43298i | 0.845240 | − | 0.487999i | ||||
\(233\) | 20.8864 | + | 12.0588i | 1.36831 | + | 0.789995i | 0.990712 | − | 0.135974i | \(-0.0434163\pi\) |
0.377600 | + | 0.925969i | \(0.376750\pi\) | |||||||
\(234\) | −9.75724 | + | 12.0174i | −0.637851 | + | 0.785605i | ||||
\(235\) | 18.6035 | + | 8.62701i | 1.21356 | + | 0.562764i | ||||
\(236\) | 0.985799 | 0.0641701 | ||||||||
\(237\) | −0.431144 | + | 5.43338i | −0.0280058 | + | 0.352936i | ||||
\(238\) | −16.0200 | − | 0.163499i | −1.03842 | − | 0.0105980i | ||||
\(239\) | 8.06114 | − | 13.9623i | 0.521432 | − | 0.903147i | −0.478257 | − | 0.878220i | \(-0.658731\pi\) |
0.999689 | − | 0.0249270i | \(-0.00793532\pi\) | |||||||
\(240\) | 5.72742 | + | 3.22929i | 0.369703 | + | 0.208450i | ||||
\(241\) | −2.28069 | + | 3.95028i | −0.146912 | + | 0.254460i | −0.930085 | − | 0.367345i | \(-0.880267\pi\) |
0.783172 | + | 0.621805i | \(0.213600\pi\) | |||||||
\(242\) | 9.59896 | − | 5.54196i | 0.617045 | − | 0.356251i | ||||
\(243\) | −6.01188 | + | 14.3825i | −0.385662 | + | 0.922640i | ||||
\(244\) | −2.27498 | −0.145641 | ||||||||
\(245\) | 15.6153 | − | 1.07875i | 0.997622 | − | 0.0689188i | ||||
\(246\) | 3.65197 | − | 5.30631i | 0.232841 | − | 0.338318i | ||||
\(247\) | −15.0773 | + | 8.70488i | −0.959345 | + | 0.553878i | ||||
\(248\) | − | 18.1483i | − | 1.15242i | ||||||
\(249\) | 8.57115 | + | 17.9997i | 0.543174 | + | 1.14068i | ||||
\(250\) | −3.22160 | − | 11.7247i | −0.203752 | − | 0.741533i | ||||
\(251\) | −16.9101 | −1.06736 | −0.533679 | − | 0.845687i | \(-0.679191\pi\) | ||||
−0.533679 | + | 0.845687i | \(0.679191\pi\) | |||||||
\(252\) | 4.13980 | − | 4.99374i | 0.260783 | − | 0.314576i | ||||
\(253\) | 4.49333i | 0.282493i | ||||||||
\(254\) | −12.4992 | −0.784272 | ||||||||
\(255\) | 21.5629 | − | 0.219939i | 1.35032 | − | 0.0137731i | ||||
\(256\) | −15.8927 | −0.993292 | ||||||||
\(257\) | −18.5311 | + | 10.6989i | −1.15594 | + | 0.667380i | −0.950327 | − | 0.311254i | \(-0.899251\pi\) |
−0.205610 | + | 0.978634i | \(0.565918\pi\) | |||||||
\(258\) | 8.82314 | − | 4.20143i | 0.549305 | − | 0.261570i | ||||
\(259\) | −21.0638 | + | 11.8763i | −1.30884 | + | 0.737954i | ||||
\(260\) | −7.09154 | + | 4.98797i | −0.439798 | + | 0.309340i | ||||
\(261\) | −5.19886 | − | 13.5959i | −0.321801 | − | 0.841566i | ||||
\(262\) | 3.98660 | − | 2.30167i | 0.246293 | − | 0.142197i | ||||
\(263\) | 3.17450 | + | 1.83280i | 0.195748 | + | 0.113015i | 0.594671 | − | 0.803969i | \(-0.297282\pi\) |
−0.398922 | + | 0.916985i | \(0.630616\pi\) | |||||||
\(264\) | −2.70505 | + | 3.93043i | −0.166484 | + | 0.241902i | ||||
\(265\) | −1.03793 | − | 11.5810i | −0.0637593 | − | 0.711413i | ||||
\(266\) | −9.19727 | + | 5.18562i | −0.563921 | + | 0.317951i | ||||
\(267\) | 2.06443 | + | 1.42081i | 0.126341 | + | 0.0869519i | ||||
\(268\) | − | 0.161156i | − | 0.00984419i | ||||||
\(269\) | −11.2715 | − | 19.5228i | −0.687235 | − | 1.19033i | −0.972729 | − | 0.231945i | \(-0.925491\pi\) |
0.285494 | − | 0.958381i | \(-0.407842\pi\) | |||||||
\(270\) | 7.86443 | − | 9.89064i | 0.478614 | − | 0.601925i | ||||
\(271\) | 1.89382 | − | 3.28019i | 0.115041 | − | 0.199257i | −0.802755 | − | 0.596309i | \(-0.796633\pi\) |
0.917796 | + | 0.397052i | \(0.129967\pi\) | |||||||
\(272\) | 8.18598 | − | 4.72618i | 0.496348 | − | 0.286567i | ||||
\(273\) | −9.14674 | − | 19.7245i | −0.553586 | − | 1.19378i | ||||
\(274\) | −4.75390 | + | 8.23400i | −0.287194 | + | 0.497434i | ||||
\(275\) | 4.42384 | − | 0.799380i | 0.266768 | − | 0.0482044i | ||||
\(276\) | 3.04133 | + | 6.38688i | 0.183066 | + | 0.384445i | ||||
\(277\) | −14.7886 | − | 8.53818i | −0.888558 | − | 0.513009i | −0.0150875 | − | 0.999886i | \(-0.504803\pi\) |
−0.873471 | + | 0.486877i | \(0.838136\pi\) | |||||||
\(278\) | −6.09354 | − | 3.51811i | −0.365466 | − | 0.211002i | ||||
\(279\) | −17.5475 | − | 2.80247i | −1.05054 | − | 0.167779i | ||||
\(280\) | −14.9317 | + | 10.2763i | −0.892340 | + | 0.614128i | ||||
\(281\) | 5.22118 | + | 9.04336i | 0.311470 | + | 0.539481i | 0.978681 | − | 0.205387i | \(-0.0658454\pi\) |
−0.667211 | + | 0.744869i | \(0.732512\pi\) | |||||||
\(282\) | 1.36649 | − | 17.2208i | 0.0813732 | − | 1.02548i | ||||
\(283\) | 1.24168i | 0.0738102i | 0.999319 | + | 0.0369051i | \(0.0117499\pi\) | ||||
−0.999319 | + | 0.0369051i | \(0.988250\pi\) | |||||||
\(284\) | −6.77084 | −0.401775 | ||||||||
\(285\) | 12.2346 | − | 7.23101i | 0.724713 | − | 0.428328i | ||||
\(286\) | 2.31963 | + | 4.01772i | 0.137163 | + | 0.237573i | ||||
\(287\) | 4.44356 | + | 7.88114i | 0.262295 | + | 0.465209i | ||||
\(288\) | −2.02567 | + | 12.6836i | −0.119364 | + | 0.747390i | ||||
\(289\) | 7.00027 | − | 12.1248i | 0.411781 | − | 0.713225i | ||||
\(290\) | 1.05327 | + | 11.7522i | 0.0618502 | + | 0.690112i | ||||
\(291\) | −11.8812 | − | 24.9510i | −0.696491 | − | 1.46265i | ||||
\(292\) | 5.41006 | − | 3.12350i | 0.316600 | − | 0.182789i | ||||
\(293\) | −3.00614 | − | 1.73559i | −0.175620 | − | 0.101394i | 0.409613 | − | 0.912259i | \(-0.365664\pi\) |
−0.585233 | + | 0.810865i | \(0.698997\pi\) | |||||||
\(294\) | −5.42483 | − | 12.0183i | −0.316382 | − | 0.700919i | ||||
\(295\) | −1.13475 | + | 2.44699i | −0.0660676 | + | 0.142470i | ||||
\(296\) | 14.0014 | − | 24.2511i | 0.813814 | − | 1.40957i | ||||
\(297\) | 3.38260 | + | 3.22244i | 0.196279 | + | 0.186985i | ||||
\(298\) | 15.5390 | − | 8.97144i | 0.900149 | − | 0.519701i | ||||
\(299\) | 23.7113 | 1.37126 | ||||||||
\(300\) | 5.74704 | − | 4.13054i | 0.331805 | − | 0.238477i | ||||
\(301\) | −0.140078 | + | 13.7251i | −0.00807395 | + | 0.791104i | ||||
\(302\) | −7.54505 | − | 4.35614i | −0.434169 | − | 0.250668i | ||||
\(303\) | −12.3161 | − | 8.47636i | −0.707544 | − | 0.486954i | ||||
\(304\) | 3.11477 | − | 5.39493i | 0.178644 | − | 0.309421i | ||||
\(305\) | 2.61872 | − | 5.64706i | 0.149947 | − | 0.323350i | ||||
\(306\) | −6.48817 | − | 16.9677i | −0.370904 | − | 0.969978i | ||||
\(307\) | − | 5.08997i | − | 0.290500i | −0.989395 | − | 0.145250i | \(-0.953601\pi\) | ||
0.989395 | − | 0.145250i | \(-0.0463986\pi\) | |||||||
\(308\) | −0.954775 | − | 1.69340i | −0.0544034 | − | 0.0964903i | ||||
\(309\) | −1.84441 | − | 3.87332i | −0.104925 | − | 0.220346i | ||||
\(310\) | 13.0678 | + | 6.05994i | 0.742200 | + | 0.344181i | ||||
\(311\) | 14.4791 | 0.821032 | 0.410516 | − | 0.911853i | \(-0.365349\pi\) | ||||
0.410516 | + | 0.911853i | \(0.365349\pi\) | |||||||
\(312\) | 20.7408 | + | 14.2745i | 1.17422 | + | 0.808135i | ||||
\(313\) | 11.6328i | 0.657526i | 0.944412 | + | 0.328763i | \(0.106632\pi\) | ||||
−0.944412 | + | 0.328763i | \(0.893368\pi\) | |||||||
\(314\) | 3.39419 | 0.191545 | ||||||||
\(315\) | 7.63038 | + | 16.0243i | 0.429923 | + | 0.902866i | ||||
\(316\) | 2.57168 | 0.144668 | ||||||||
\(317\) | − | 18.7219i | − | 1.05153i | −0.850631 | − | 0.525763i | \(-0.823780\pi\) | ||
0.850631 | − | 0.525763i | \(-0.176220\pi\) | |||||||
\(318\) | −8.84362 | + | 4.21119i | −0.495925 | + | 0.236152i | ||||
\(319\) | −4.36242 | −0.244248 | ||||||||
\(320\) | 7.57427 | − | 16.3333i | 0.423415 | − | 0.913060i | ||||
\(321\) | −13.9302 | + | 20.2406i | −0.777507 | + | 1.12972i | ||||
\(322\) | 14.3793 | + | 0.146755i | 0.801329 | + | 0.00817831i | ||||
\(323\) | − | 20.4308i | − | 1.13680i | ||||||
\(324\) | 6.98919 | + | 2.29089i | 0.388288 | + | 0.127272i | ||||
\(325\) | −4.21832 | − | 23.3445i | −0.233990 | − | 1.29492i | ||||
\(326\) | −10.3761 | + | 17.9718i | −0.574676 | + | 0.995369i | ||||
\(327\) | 27.7182 | − | 13.1990i | 1.53282 | − | 0.729904i | ||||
\(328\) | −9.07368 | − | 5.23869i | −0.501010 | − | 0.289258i | ||||
\(329\) | 20.8880 | + | 12.3456i | 1.15159 | + | 0.680634i | ||||
\(330\) | −1.92688 | − | 3.26021i | −0.106071 | − | 0.179469i | ||||
\(331\) | 15.7205 | 0.864079 | 0.432039 | − | 0.901855i | \(-0.357794\pi\) | ||||
0.432039 | + | 0.901855i | \(0.357794\pi\) | |||||||
\(332\) | 8.14623 | − | 4.70323i | 0.447082 | − | 0.258123i | ||||
\(333\) | −21.2862 | − | 17.2828i | −1.16648 | − | 0.947089i | ||||
\(334\) | 5.60032 | − | 9.70004i | 0.306436 | − | 0.530762i | ||||
\(335\) | 0.400029 | + | 0.185506i | 0.0218559 | + | 0.0101353i | ||||
\(336\) | 6.36329 | + | 4.47580i | 0.347146 | + | 0.244175i | ||||
\(337\) | −6.28248 | − | 3.62719i | −0.342229 | − | 0.197586i | 0.319029 | − | 0.947745i | \(-0.396643\pi\) |
−0.661257 | + | 0.750159i | \(0.729977\pi\) | |||||||
\(338\) | 8.95743 | − | 5.17158i | 0.487220 | − | 0.281297i | ||||
\(339\) | −10.5076 | + | 15.2675i | −0.570693 | + | 0.829216i | ||||
\(340\) | −0.908234 | − | 10.1339i | −0.0492559 | − | 0.549588i | ||||
\(341\) | −2.66280 | + | 4.61211i | −0.144199 | + | 0.249760i | ||||
\(342\) | −9.29437 | − | 7.54631i | −0.502582 | − | 0.408058i | ||||
\(343\) | 18.5116 | + | 0.566941i | 0.999531 | + | 0.0306119i | ||||
\(344\) | −7.94754 | − | 13.7655i | −0.428503 | − | 0.742189i | ||||
\(345\) | −19.3546 | + | 0.197414i | −1.04202 | + | 0.0106284i | ||||
\(346\) | 19.1461 | 1.02930 | ||||||||
\(347\) | 4.09429i | 0.219793i | 0.993943 | + | 0.109896i | \(0.0350519\pi\) | ||||
−0.993943 | + | 0.109896i | \(0.964948\pi\) | |||||||
\(348\) | −6.20079 | + | 2.95272i | −0.332397 | + | 0.158282i | ||||
\(349\) | 3.70073 | + | 6.40985i | 0.198095 | + | 0.343111i | 0.947911 | − | 0.318536i | \(-0.103191\pi\) |
−0.749816 | + | 0.661647i | \(0.769858\pi\) | |||||||
\(350\) | −2.41365 | − | 14.1831i | −0.129015 | − | 0.758116i | ||||
\(351\) | 17.0048 | − | 17.8500i | 0.907647 | − | 0.952760i | ||||
\(352\) | 3.33372 | + | 1.92472i | 0.177688 | + | 0.102588i | ||||
\(353\) | −0.809472 | − | 0.467349i | −0.0430839 | − | 0.0248745i | 0.478303 | − | 0.878195i | \(-0.341252\pi\) |
−0.521387 | + | 0.853320i | \(0.674585\pi\) | |||||||
\(354\) | 2.26513 | + | 0.179740i | 0.120390 | + | 0.00955308i | ||||
\(355\) | 7.79388 | − | 16.8069i | 0.413656 | − | 0.892016i | ||||
\(356\) | 0.591225 | − | 1.02403i | 0.0313349 | − | 0.0542736i | ||||
\(357\) | 25.4131 | + | 2.27776i | 1.34500 | + | 0.120552i | ||||
\(358\) | 2.93070 | − | 1.69204i | 0.154892 | − | 0.0894270i | ||||
\(359\) | −10.1911 | + | 17.6515i | −0.537867 | + | 0.931613i | 0.461152 | + | 0.887321i | \(0.347436\pi\) |
−0.999019 | + | 0.0442913i | \(0.985897\pi\) | |||||||
\(360\) | −17.0489 | − | 11.4791i | −0.898553 | − | 0.605001i | ||||
\(361\) | 2.76759 | + | 4.79361i | 0.145663 | + | 0.252296i | ||||
\(362\) | − | 23.5020i | − | 1.23524i | ||||||
\(363\) | −15.9377 | + | 7.58928i | −0.836513 | + | 0.398334i | ||||
\(364\) | −8.93604 | + | 5.03833i | −0.468376 | + | 0.264080i | ||||
\(365\) | 1.52580 | + | 17.0245i | 0.0798639 | + | 0.891105i | ||||
\(366\) | −5.22735 | − | 0.414796i | −0.273238 | − | 0.0216817i | ||||
\(367\) | 7.00713 | + | 4.04557i | 0.365769 | + | 0.211177i | 0.671609 | − | 0.740906i | \(-0.265604\pi\) |
−0.305839 | + | 0.952083i | \(0.598937\pi\) | |||||||
\(368\) | −7.34764 | + | 4.24216i | −0.383022 | + | 0.221138i | ||||
\(369\) | −6.46643 | + | 7.96434i | −0.336629 | + | 0.414607i | ||||
\(370\) | 12.7869 | + | 18.1795i | 0.664761 | + | 0.945109i | ||||
\(371\) | 0.140403 | − | 13.7570i | 0.00728936 | − | 0.714228i | ||||
\(372\) | −0.663219 | + | 8.35804i | −0.0343863 | + | 0.433344i | ||||
\(373\) | 20.0512 | − | 11.5766i | 1.03821 | − | 0.599413i | 0.118887 | − | 0.992908i | \(-0.462068\pi\) |
0.919327 | + | 0.393495i | \(0.128734\pi\) | |||||||
\(374\) | −5.44429 | −0.281518 | ||||||||
\(375\) | 3.63762 | + | 19.0202i | 0.187846 | + | 0.982198i | ||||
\(376\) | −28.0982 | −1.44905 | ||||||||
\(377\) | 23.0204i | 1.18561i | ||||||||
\(378\) | 10.4228 | − | 10.7196i | 0.536089 | − | 0.551356i | ||||
\(379\) | −19.6139 | −1.00750 | −0.503748 | − | 0.863851i | \(-0.668046\pi\) | ||||
−0.503748 | + | 0.863851i | \(0.668046\pi\) | |||||||
\(380\) | −3.85772 | − | 5.48464i | −0.197897 | − | 0.281356i | ||||
\(381\) | 19.8441 | + | 1.57465i | 1.01664 | + | 0.0806717i | ||||
\(382\) | 6.04397i | 0.309237i | ||||||||
\(383\) | −5.80615 | + | 3.35218i | −0.296680 | + | 0.171289i | −0.640951 | − | 0.767582i | \(-0.721460\pi\) |
0.344270 | + | 0.938871i | \(0.388126\pi\) | |||||||
\(384\) | −0.334440 | − | 0.0265382i | −0.0170668 | − | 0.00135427i | ||||
\(385\) | 5.30246 | − | 0.420723i | 0.270239 | − | 0.0214421i | ||||
\(386\) | 8.72313 | 0.443996 | ||||||||
\(387\) | −14.5371 | + | 5.55876i | −0.738963 | + | 0.282568i | ||||
\(388\) | −11.2922 | + | 6.51957i | −0.573276 | + | 0.330981i | ||||
\(389\) | −2.84525 | + | 4.92812i | −0.144260 | + | 0.249865i | −0.929097 | − | 0.369837i | \(-0.879413\pi\) |
0.784837 | + | 0.619703i | \(0.212747\pi\) | |||||||
\(390\) | −17.2041 | + | 10.1681i | −0.871162 | + | 0.514884i | ||||
\(391\) | −13.9129 | + | 24.0978i | −0.703604 | + | 1.21868i | ||||
\(392\) | −18.7888 | + | 10.3423i | −0.948978 | + | 0.522364i | ||||
\(393\) | −6.61919 | + | 3.15195i | −0.333894 | + | 0.158995i | ||||
\(394\) | 1.53496 | 0.0773301 | ||||||||
\(395\) | −2.96024 | + | 6.38353i | −0.148946 | + | 0.321190i | ||||
\(396\) | 1.38942 | − | 1.71127i | 0.0698212 | − | 0.0859948i | ||||
\(397\) | −23.8918 | − | 13.7939i | −1.19909 | − | 0.692297i | −0.238741 | − | 0.971083i | \(-0.576735\pi\) |
−0.960353 | + | 0.278786i | \(0.910068\pi\) | |||||||
\(398\) | −23.1408 | + | 13.3603i | −1.15994 | + | 0.669693i | ||||
\(399\) | 15.2551 | − | 7.07415i | 0.763709 | − | 0.354150i | ||||
\(400\) | 5.48373 | + | 6.47931i | 0.274186 | + | 0.323966i | ||||
\(401\) | −7.40146 | − | 12.8197i | −0.369611 | − | 0.640185i | 0.619893 | − | 0.784686i | \(-0.287176\pi\) |
−0.989505 | + | 0.144501i | \(0.953842\pi\) | |||||||
\(402\) | 0.0293835 | − | 0.370298i | 0.00146552 | − | 0.0184688i | ||||
\(403\) | 24.3381 | + | 14.0516i | 1.21236 | + | 0.699959i | ||||
\(404\) | −3.52718 | + | 6.10925i | −0.175484 | + | 0.303946i | ||||
\(405\) | −13.7318 | + | 14.7119i | −0.682337 | + | 0.731038i | ||||
\(406\) | −0.142479 | + | 13.9604i | −0.00707110 | + | 0.692842i | ||||
\(407\) | −7.11649 | + | 4.10871i | −0.352751 | + | 0.203661i | ||||
\(408\) | −26.6772 | + | 12.7032i | −1.32072 | + | 0.628904i | ||||
\(409\) | 17.4502 | 0.862855 | 0.431428 | − | 0.902148i | \(-0.358010\pi\) | ||||
0.431428 | + | 0.902148i | \(0.358010\pi\) | |||||||
\(410\) | 6.80197 | − | 4.78429i | 0.335925 | − | 0.236279i | ||||
\(411\) | 8.58472 | − | 12.4736i | 0.423453 | − | 0.615277i | ||||
\(412\) | −1.75297 | + | 1.01208i | −0.0863629 | + | 0.0498616i | ||||
\(413\) | −1.62387 | + | 2.74748i | −0.0799054 | + | 0.135195i | ||||
\(414\) | 5.82371 | + | 15.2300i | 0.286220 | + | 0.748514i | ||||
\(415\) | 2.29748 | + | 25.6348i | 0.112779 | + | 1.25836i | ||||
\(416\) | 10.1567 | − | 17.5920i | 0.497975 | − | 0.862517i | ||||
\(417\) | 9.23104 | + | 6.35309i | 0.452046 | + | 0.311112i | ||||
\(418\) | −3.10733 | + | 1.79402i | −0.151985 | + | 0.0877483i | ||||
\(419\) | 9.28876 | − | 16.0886i | 0.453786 | − | 0.785980i | −0.544832 | − | 0.838545i | \(-0.683406\pi\) |
0.998617 | + | 0.0525654i | \(0.0167398\pi\) | |||||||
\(420\) | 7.25222 | − | 4.18701i | 0.353872 | − | 0.204305i | ||||
\(421\) | −14.5746 | − | 25.2440i | −0.710323 | − | 1.23032i | −0.964736 | − | 0.263221i | \(-0.915215\pi\) |
0.254412 | − | 0.967096i | \(-0.418118\pi\) | |||||||
\(422\) | −12.5904 | − | 7.26909i | −0.612893 | − | 0.353854i | ||||
\(423\) | −4.33894 | + | 27.1680i | −0.210966 | + | 1.32095i | ||||
\(424\) | 7.96599 | + | 13.7975i | 0.386863 | + | 0.670066i | ||||
\(425\) | 26.2003 | + | 9.41062i | 1.27090 | + | 0.456482i | ||||
\(426\) | −15.5577 | − | 1.23452i | −0.753775 | − | 0.0598128i | ||||
\(427\) | 3.74749 | − | 6.34051i | 0.181354 | − | 0.306839i | ||||
\(428\) | 10.0400 | + | 5.79662i | 0.485303 | + | 0.280190i | ||||
\(429\) | −3.17655 | − | 6.67085i | −0.153365 | − | 0.322072i | ||||
\(430\) | 12.5657 | − | 1.12619i | 0.605974 | − | 0.0543095i | ||||
\(431\) | −1.29565 | − | 2.24413i | −0.0624093 | − | 0.108096i | 0.833133 | − | 0.553073i | \(-0.186545\pi\) |
−0.895542 | + | 0.444977i | \(0.853212\pi\) | |||||||
\(432\) | −2.07591 | + | 8.57365i | −0.0998775 | + | 0.412500i | ||||
\(433\) | 30.7769i | 1.47904i | 0.673133 | + | 0.739522i | \(0.264948\pi\) | ||||
−0.673133 | + | 0.739522i | \(0.735052\pi\) | |||||||
\(434\) | 14.6725 | + | 8.67200i | 0.704302 | + | 0.416270i | ||||
\(435\) | −0.191663 | − | 18.7907i | −0.00918952 | − | 0.900947i | ||||
\(436\) | −7.24263 | − | 12.5446i | −0.346859 | − | 0.600778i | ||||
\(437\) | 18.3384i | 0.877247i | ||||||||
\(438\) | 13.0005 | − | 6.19063i | 0.621189 | − | 0.295800i | ||||
\(439\) | −33.8865 | −1.61731 | −0.808656 | − | 0.588281i | \(-0.799805\pi\) | ||||
−0.808656 | + | 0.588281i | \(0.799805\pi\) | |||||||
\(440\) | −5.03829 | + | 3.54377i | −0.240191 | + | 0.168943i | ||||
\(441\) | 7.09852 | + | 19.7639i | 0.338025 | + | 0.941137i | ||||
\(442\) | 28.7295i | 1.36652i | ||||||||
\(443\) | − | 27.6935i | − | 1.31576i | −0.753124 | − | 0.657879i | \(-0.771454\pi\) | ||
0.753124 | − | 0.657879i | \(-0.228546\pi\) | |||||||
\(444\) | −7.33447 | + | 10.6570i | −0.348079 | + | 0.505758i | ||||
\(445\) | 1.86134 | + | 2.64632i | 0.0882360 | + | 0.125448i | ||||
\(446\) | 13.4005 | + | 23.2104i | 0.634534 | + | 1.09905i | ||||
\(447\) | −25.8003 | + | 12.2857i | −1.22031 | + | 0.581092i | ||||
\(448\) | 10.8391 | − | 18.3390i | 0.512098 | − | 0.866437i | ||||
\(449\) | 26.7298 | 1.26146 | 0.630728 | − | 0.776004i | \(-0.282756\pi\) | ||||
0.630728 | + | 0.776004i | \(0.282756\pi\) | |||||||
\(450\) | 13.9584 | − | 8.44312i | 0.658006 | − | 0.398012i | ||||
\(451\) | 1.53729 | + | 2.66267i | 0.0723883 | + | 0.125380i | ||||
\(452\) | 7.57322 | + | 4.37240i | 0.356214 | + | 0.205660i | ||||
\(453\) | 11.4299 | + | 7.86643i | 0.537024 | + | 0.369597i | ||||
\(454\) | −7.41128 | + | 12.8367i | −0.347829 | + | 0.602457i | ||||
\(455\) | −2.22015 | − | 27.9810i | −0.104082 | − | 1.31177i | ||||
\(456\) | −11.0400 | + | 16.0411i | −0.516995 | + | 0.751193i | ||||
\(457\) | − | 27.6155i | − | 1.29180i | −0.763423 | − | 0.645899i | \(-0.776483\pi\) | ||
0.763423 | − | 0.645899i | \(-0.223517\pi\) | |||||||
\(458\) | −2.00906 | + | 1.15993i | −0.0938772 | + | 0.0542001i | ||||
\(459\) | 8.16319 | + | 27.7557i | 0.381025 | + | 1.29552i | ||||
\(460\) | 0.815221 | + | 9.09607i | 0.0380099 | + | 0.424107i | ||||
\(461\) | −7.84817 | − | 13.5934i | −0.365526 | − | 0.633109i | 0.623335 | − | 0.781955i | \(-0.285778\pi\) |
−0.988860 | + | 0.148846i | \(0.952444\pi\) | |||||||
\(462\) | −1.88508 | − | 4.06510i | −0.0877021 | − | 0.189126i | ||||
\(463\) | −32.3670 | − | 18.6871i | −1.50422 | − | 0.868463i | −0.999988 | − | 0.00489558i | \(-0.998442\pi\) |
−0.504234 | − | 0.863567i | \(-0.668225\pi\) | |||||||
\(464\) | −4.11857 | − | 7.13356i | −0.191200 | − | 0.331167i | ||||
\(465\) | −19.9833 | − | 11.2672i | −0.926702 | − | 0.522502i | ||||
\(466\) | 13.1145 | − | 22.7150i | 0.607519 | − | 1.05225i | ||||
\(467\) | −5.47692 | − | 3.16210i | −0.253442 | − | 0.146325i | 0.367897 | − | 0.929866i | \(-0.380078\pi\) |
−0.621339 | + | 0.783542i | \(0.713411\pi\) | |||||||
\(468\) | −9.03037 | − | 7.33197i | −0.417429 | − | 0.338920i | ||||
\(469\) | 0.449153 | + | 0.265467i | 0.0207399 | + | 0.0122581i | ||||
\(470\) | 9.38233 | − | 20.2323i | 0.432775 | − | 0.933244i | ||||
\(471\) | −5.38870 | − | 0.427599i | −0.248298 | − | 0.0197027i | ||||
\(472\) | − | 3.69587i | − | 0.170116i | ||||||
\(473\) | 4.66441i | 0.214470i | ||||||||
\(474\) | 5.90908 | + | 0.468892i | 0.271413 | + | 0.0215369i | ||||
\(475\) | 18.0548 | − | 3.26247i | 0.828412 | − | 0.149693i | ||||
\(476\) | 0.122859 | − | 12.0380i | 0.00563124 | − | 0.551762i | ||||
\(477\) | 14.5709 | − | 5.57166i | 0.667153 | − | 0.255109i | ||||
\(478\) | −15.1847 | − | 8.76692i | −0.694534 | − | 0.400989i | ||||
\(479\) | 4.16121 | − | 7.20742i | 0.190130 | − | 0.329316i | −0.755163 | − | 0.655537i | \(-0.772442\pi\) |
0.945293 | + | 0.326222i | \(0.105776\pi\) | |||||||
\(480\) | −8.14411 | + | 14.4443i | −0.371726 | + | 0.659287i | ||||
\(481\) | 21.6816 | + | 37.5536i | 0.988595 | + | 1.71230i | ||||
\(482\) | 4.29613 | + | 2.48037i | 0.195684 | + | 0.112978i | ||||
\(483\) | −22.8105 | − | 2.04449i | −1.03791 | − | 0.0930276i | ||||
\(484\) | 4.16445 | + | 7.21303i | 0.189293 | + | 0.327865i | ||||
\(485\) | −3.18474 | − | 35.5347i | −0.144612 | − | 1.61355i | ||||
\(486\) | 15.6418 | + | 6.53824i | 0.709525 | + | 0.296580i | ||||
\(487\) | 24.9182 | − | 14.3865i | 1.12915 | − | 0.651917i | 0.185431 | − | 0.982657i | \(-0.440632\pi\) |
0.943722 | + | 0.330740i | \(0.107298\pi\) | |||||||
\(488\) | 8.52916i | 0.386097i | ||||||||
\(489\) | 18.7373 | − | 27.2253i | 0.847332 | − | 1.23117i | ||||
\(490\) | −1.17320 | − | 16.9824i | −0.0529996 | − | 0.767187i | ||||
\(491\) | −1.15384 | + | 1.99851i | −0.0520721 | + | 0.0901915i | −0.890887 | − | 0.454226i | \(-0.849916\pi\) |
0.838814 | + | 0.544417i | \(0.183249\pi\) | |||||||
\(492\) | 3.98736 | + | 2.74423i | 0.179764 | + | 0.123719i | ||||
\(493\) | −23.3957 | − | 13.5075i | −1.05369 | − | 0.608348i | ||||
\(494\) | 9.46701 | + | 16.3973i | 0.425941 | + | 0.737751i | ||||
\(495\) | 2.64844 | + | 5.41873i | 0.119039 | + | 0.243554i | ||||
\(496\) | −10.0558 | −0.451520 | ||||||||
\(497\) | 11.1533 | − | 18.8707i | 0.500296 | − | 0.846468i | ||||
\(498\) | 19.5756 | − | 9.32157i | 0.877203 | − | 0.417710i | ||||
\(499\) | 5.44126 | + | 9.42453i | 0.243584 | + | 0.421900i | 0.961733 | − | 0.273990i | \(-0.0883435\pi\) |
−0.718148 | + | 0.695890i | \(0.755010\pi\) | |||||||
\(500\) | 8.81036 | − | 2.42084i | 0.394011 | − | 0.108263i | ||||
\(501\) | −10.1132 | + | 14.6945i | −0.451825 | + | 0.656501i | ||||
\(502\) | 18.3906i | 0.820815i | ||||||||
\(503\) | − | 20.8217i | − | 0.928393i | −0.885732 | − | 0.464197i | \(-0.846343\pi\) | ||
0.885732 | − | 0.464197i | \(-0.153657\pi\) | |||||||
\(504\) | −18.7221 | − | 15.5206i | −0.833949 | − | 0.691342i | ||||
\(505\) | −11.1045 | − | 15.7876i | −0.494145 | − | 0.702541i | ||||
\(506\) | 4.88674 | 0.217242 | ||||||||
\(507\) | −14.8725 | + | 7.08206i | −0.660513 | + | 0.314525i | ||||
\(508\) | − | 9.39241i | − | 0.416721i | ||||||
\(509\) | −15.4876 | − | 26.8252i | −0.686474 | − | 1.18901i | −0.972971 | − | 0.230927i | \(-0.925824\pi\) |
0.286497 | − | 0.958081i | \(-0.407509\pi\) | |||||||
\(510\) | −0.239195 | − | 23.4508i | −0.0105917 | − | 1.03842i | ||||
\(511\) | −0.206399 | + | 20.2234i | −0.00913054 | + | 0.894631i | ||||
\(512\) | 17.6715i | 0.780978i | ||||||||
\(513\) | 13.8053 | + | 13.1516i | 0.609517 | + | 0.580657i | ||||
\(514\) | 11.6356 | + | 20.1535i | 0.513226 | + | 0.888934i | ||||
\(515\) | −0.494391 | − | 5.51631i | −0.0217855 | − | 0.243078i | ||||
\(516\) | 3.15712 | + | 6.63005i | 0.138984 | + | 0.291872i | ||||
\(517\) | 7.14073 | + | 4.12270i | 0.314049 | + | 0.181316i | ||||
\(518\) | 12.9160 | + | 22.9080i | 0.567499 | + | 1.00652i | ||||
\(519\) | −30.3968 | − | 2.41202i | −1.33427 | − | 0.105876i | ||||
\(520\) | 18.7004 | + | 26.5870i | 0.820069 | + | 1.16592i | ||||
\(521\) | 20.3164 | + | 35.1891i | 0.890080 | + | 1.54166i | 0.839778 | + | 0.542929i | \(0.182685\pi\) |
0.0503015 | + | 0.998734i | \(0.483982\pi\) | |||||||
\(522\) | −14.7863 | + | 5.65403i | −0.647178 | + | 0.247470i | ||||
\(523\) | 22.8709 | + | 13.2045i | 1.00007 | + | 0.577393i | 0.908270 | − | 0.418384i | \(-0.137404\pi\) |
0.0918035 | + | 0.995777i | \(0.470737\pi\) | |||||||
\(524\) | 1.72956 | + | 2.99569i | 0.0755563 | + | 0.130867i | ||||
\(525\) | 2.04519 | + | 22.8214i | 0.0892596 | + | 0.996008i | ||||
\(526\) | 1.99327 | − | 3.45244i | 0.0869106 | − | 0.150534i | ||||
\(527\) | −28.5613 | + | 16.4899i | −1.24415 | + | 0.718310i | ||||
\(528\) | 2.17783 | + | 1.49885i | 0.0947777 | + | 0.0652290i | ||||
\(529\) | 0.988047 | − | 1.71135i | 0.0429586 | − | 0.0744064i | ||||
\(530\) | −12.5949 | + | 1.12880i | −0.547088 | + | 0.0490319i | ||||
\(531\) | −3.57352 | − | 0.570719i | −0.155078 | − | 0.0247671i | ||||
\(532\) | −3.89668 | − | 6.91119i | −0.168942 | − | 0.299638i | ||||
\(533\) | 14.0509 | − | 8.11228i | 0.608611 | − | 0.351382i | ||||
\(534\) | 1.54520 | − | 2.24518i | 0.0668674 | − | 0.0971583i | ||||
\(535\) | −25.9457 | + | 18.2494i | −1.12173 | + | 0.788989i | ||||
\(536\) | −0.604193 | −0.0260972 | ||||||||
\(537\) | −4.86600 | + | 2.31711i | −0.209984 | + | 0.0999907i | ||||
\(538\) | −21.2321 | + | 12.2583i | −0.915379 | + | 0.528495i | ||||
\(539\) | 6.29237 | + | 0.128452i | 0.271031 | + | 0.00553283i | ||||
\(540\) | 7.43221 | + | 5.90964i | 0.319832 | + | 0.254310i | ||||
\(541\) | 5.26850 | − | 9.12530i | 0.226510 | − | 0.392327i | −0.730261 | − | 0.683168i | \(-0.760602\pi\) |
0.956772 | + | 0.290841i | \(0.0939350\pi\) | |||||||
\(542\) | −3.56738 | − | 2.05963i | −0.153232 | − | 0.0884686i | ||||
\(543\) | −2.96078 | + | 37.3124i | −0.127059 | + | 1.60123i | ||||
\(544\) | 11.9192 | + | 20.6446i | 0.511030 | + | 0.885131i | ||||
\(545\) | 39.4757 | − | 3.53795i | 1.69096 | − | 0.151549i | ||||
\(546\) | −21.4515 | + | 9.94756i | −0.918038 | + | 0.425716i | ||||
\(547\) | 12.9372 | − | 7.46928i | 0.553154 | − | 0.319363i | −0.197239 | − | 0.980355i | \(-0.563198\pi\) |
0.750393 | + | 0.660992i | \(0.229864\pi\) | |||||||
\(548\) | −6.18735 | − | 3.57227i | −0.264311 | − | 0.152600i | ||||
\(549\) | 8.24680 | + | 1.31708i | 0.351965 | + | 0.0562115i | ||||
\(550\) | −0.869368 | − | 4.81116i | −0.0370700 | − | 0.205149i | ||||
\(551\) | −17.8041 | −0.758482 | ||||||||
\(552\) | 23.9451 | − | 11.4023i | 1.01917 | − | 0.485313i | ||||
\(553\) | −4.23622 | + | 7.16742i | −0.180142 | + | 0.304790i | ||||
\(554\) | −9.28572 | + | 16.0833i | −0.394512 | + | 0.683315i | ||||
\(555\) | −18.0106 | − | 30.4731i | −0.764506 | − | 1.29351i | ||||
\(556\) | 2.64364 | − | 4.57893i | 0.112115 | − | 0.194190i | ||||
\(557\) | 28.4420 | − | 16.4210i | 1.20513 | − | 0.695779i | 0.243435 | − | 0.969917i | \(-0.421726\pi\) |
0.961690 | + | 0.274138i | \(0.0883925\pi\) | |||||||
\(558\) | −3.04783 | + | 19.0838i | −0.129025 | + | 0.807882i | ||||
\(559\) | 24.6140 | 1.04106 | ||||||||
\(560\) | 5.69405 | + | 8.27355i | 0.240617 | + | 0.349621i | ||||
\(561\) | 8.64348 | + | 0.685869i | 0.364928 | + | 0.0289574i | ||||
\(562\) | 9.83512 | − | 5.67831i | 0.414870 | − | 0.239525i | ||||
\(563\) | − | 33.3400i | − | 1.40512i | −0.711627 | − | 0.702558i | \(-0.752041\pi\) | ||
0.711627 | − | 0.702558i | \(-0.247959\pi\) | |||||||
\(564\) | 12.9404 | + | 1.02683i | 0.544888 | + | 0.0432374i | ||||
\(565\) | −19.5709 | + | 13.7655i | −0.823353 | + | 0.579121i | ||||
\(566\) | 1.35039 | 0.0567612 | ||||||||
\(567\) | −17.8979 | + | 15.7056i | −0.751640 | + | 0.659574i | ||||
\(568\) | 25.3846i | 1.06512i | ||||||||
\(569\) | 19.8152 | 0.830698 | 0.415349 | − | 0.909662i | \(-0.363660\pi\) | ||||
0.415349 | + | 0.909662i | \(0.363660\pi\) | |||||||
\(570\) | −7.86410 | − | 13.3057i | −0.329391 | − | 0.557316i | ||||
\(571\) | −10.2362 | −0.428372 | −0.214186 | − | 0.976793i | \(-0.568710\pi\) | ||||
−0.214186 | + | 0.976793i | \(0.568710\pi\) | |||||||
\(572\) | −3.01907 | + | 1.74306i | −0.126234 | + | 0.0728811i | ||||
\(573\) | 0.761417 | − | 9.59555i | 0.0318086 | − | 0.400860i | ||||
\(574\) | 8.57115 | − | 4.83260i | 0.357753 | − | 0.201709i | ||||
\(575\) | −23.5171 | − | 8.44687i | −0.980730 | − | 0.352259i | ||||
\(576\) | 23.8527 | + | 3.80946i | 0.993863 | + | 0.158728i | ||||
\(577\) | −20.8977 | + | 12.0653i | −0.869981 | + | 0.502284i | −0.867342 | − | 0.497713i | \(-0.834173\pi\) |
−0.00263902 | + | 0.999997i | \(0.500840\pi\) | |||||||
\(578\) | −13.1864 | − | 7.61317i | −0.548482 | − | 0.316666i | ||||
\(579\) | −13.8490 | − | 1.09894i | −0.575547 | − | 0.0456702i | ||||
\(580\) | −8.83105 | + | 0.791469i | −0.366689 | + | 0.0328640i | ||||
\(581\) | −0.310786 | + | 30.4515i | −0.0128936 | + | 1.26334i | ||||
\(582\) | −27.1355 | + | 12.9215i | −1.12480 | + | 0.535613i | ||||
\(583\) | − | 4.67524i | − | 0.193629i | ||||||
\(584\) | −11.7104 | − | 20.2829i | −0.484578 | − | 0.839314i | ||||
\(585\) | 28.5946 | − | 13.9758i | 1.18224 | − | 0.577828i | ||||
\(586\) | −1.88755 | + | 3.26933i | −0.0779739 | + | 0.135055i | ||||
\(587\) | 3.21570 | − | 1.85658i | 0.132726 | − | 0.0766295i | −0.432167 | − | 0.901794i | \(-0.642251\pi\) |
0.564893 | + | 0.825164i | \(0.308917\pi\) | |||||||
\(588\) | 9.03099 | − | 4.07642i | 0.372432 | − | 0.168109i | ||||
\(589\) | −10.8676 | + | 18.8232i | −0.447791 | + | 0.775597i | ||||
\(590\) | 2.66124 | + | 1.23410i | 0.109561 | + | 0.0508070i | ||||
\(591\) | −2.43694 | − | 0.193373i | −0.100242 | − | 0.00795432i | ||||
\(592\) | −13.4374 | − | 7.75807i | −0.552273 | − | 0.318855i | ||||
\(593\) | −24.6121 | − | 14.2098i | −1.01070 | − | 0.583526i | −0.0993007 | − | 0.995057i | \(-0.531661\pi\) |
−0.911395 | + | 0.411532i | \(0.864994\pi\) | |||||||
\(594\) | 3.50457 | − | 3.67876i | 0.143794 | − | 0.150941i | ||||
\(595\) | 29.7399 | + | 14.1619i | 1.21922 | + | 0.580580i | ||||
\(596\) | 6.74149 | + | 11.6766i | 0.276142 | + | 0.478292i | ||||
\(597\) | 38.4220 | − | 18.2959i | 1.57251 | − | 0.748802i | ||||
\(598\) | − | 25.7872i | − | 1.05452i | ||||||
\(599\) | −12.6921 | −0.518586 | −0.259293 | − | 0.965799i | \(-0.583489\pi\) | ||||
−0.259293 | + | 0.965799i | \(0.583489\pi\) | |||||||
\(600\) | −15.4859 | − | 21.5463i | −0.632207 | − | 0.879624i | ||||
\(601\) | −5.41542 | − | 9.37979i | −0.220900 | − | 0.382610i | 0.734182 | − | 0.678953i | \(-0.237566\pi\) |
−0.955081 | + | 0.296343i | \(0.904233\pi\) | |||||||
\(602\) | 14.9268 | + | 0.152342i | 0.608371 | + | 0.00620900i | ||||
\(603\) | −0.0932999 | + | 0.584192i | −0.00379947 | + | 0.0237901i | ||||
\(604\) | 3.27337 | − | 5.66965i | 0.133192 | − | 0.230695i | ||||
\(605\) | −22.6982 | + | 2.03429i | −0.922813 | + | 0.0827056i | ||||
\(606\) | −9.21848 | + | 13.3945i | −0.374475 | + | 0.544113i | ||||
\(607\) | 22.2259 | − | 12.8321i | 0.902123 | − | 0.520841i | 0.0242344 | − | 0.999706i | \(-0.492285\pi\) |
0.877888 | + | 0.478866i | \(0.158952\pi\) | |||||||
\(608\) | 13.6057 | + | 7.85528i | 0.551786 | + | 0.318574i | ||||
\(609\) | 1.98492 | − | 22.1459i | 0.0804332 | − | 0.897396i | ||||
\(610\) | −6.14147 | − | 2.84799i | −0.248661 | − | 0.115312i | ||||
\(611\) | 21.7554 | − | 37.6815i | 0.880131 | − | 1.52443i | ||||
\(612\) | 12.7502 | − | 4.87547i | 0.515396 | − | 0.197079i | ||||
\(613\) | 13.6135 | − | 7.85974i | 0.549843 | − | 0.317452i | −0.199216 | − | 0.979956i | \(-0.563839\pi\) |
0.749059 | + | 0.662504i | \(0.230506\pi\) | |||||||
\(614\) | −5.53561 | −0.223399 | ||||||||
\(615\) | −11.4017 | + | 6.73874i | −0.459760 | + | 0.271732i | ||||
\(616\) | −6.34874 | + | 3.57956i | −0.255798 | + | 0.144225i | ||||
\(617\) | −26.3219 | − | 15.1969i | −1.05968 | − | 0.611806i | −0.134335 | − | 0.990936i | \(-0.542890\pi\) |
−0.925343 | + | 0.379130i | \(0.876223\pi\) | |||||||
\(618\) | −4.21244 | + | 2.00590i | −0.169449 | + | 0.0806889i | ||||
\(619\) | 16.4071 | − | 28.4180i | 0.659458 | − | 1.14221i | −0.321298 | − | 0.946978i | \(-0.604119\pi\) |
0.980756 | − | 0.195237i | \(-0.0625475\pi\) | |||||||
\(620\) | −4.55367 | + | 9.81963i | −0.182880 | + | 0.394366i | ||||
\(621\) | −7.32719 | − | 24.9132i | −0.294030 | − | 0.999732i | ||||
\(622\) | − | 15.7467i | − | 0.631386i | ||||||
\(623\) | 1.88014 | + | 3.33463i | 0.0753261 | + | 0.133599i | ||||
\(624\) | 7.90940 | − | 11.4924i | 0.316630 | − | 0.460063i | ||||
\(625\) | −4.13246 | + | 24.6561i | −0.165298 | + | 0.986244i | ||||
\(626\) | 12.6513 | 0.505648 | ||||||||
\(627\) | 5.15928 | − | 2.45676i | 0.206042 | − | 0.0981137i | ||||
\(628\) | 2.55053i | 0.101777i | ||||||||
\(629\) | −50.8878 | −2.02903 | ||||||||
\(630\) | 17.4272 | − | 8.29844i | 0.694318 | − | 0.330618i | ||||
\(631\) | 19.4885 | 0.775826 | 0.387913 | − | 0.921696i | \(-0.373196\pi\) | ||||
0.387913 | + | 0.921696i | \(0.373196\pi\) | |||||||
\(632\) | − | 9.64150i | − | 0.383518i | ||||||
\(633\) | 19.0731 | + | 13.1267i | 0.758088 | + | 0.521740i | ||||
\(634\) | −20.3611 | −0.808641 | ||||||||
\(635\) | 23.3143 | + | 10.8116i | 0.925199 | + | 0.429044i | ||||
\(636\) | −3.16445 | − | 6.64544i | −0.125479 | − | 0.263509i | ||||
\(637\) | 0.677841 | − | 33.2047i | 0.0268570 | − | 1.31562i | ||||
\(638\) | 4.74436i | 0.187831i | ||||||||
\(639\) | 24.5443 | + | 3.91991i | 0.970957 | + | 0.155069i | ||||
\(640\) | −0.392925 | − | 0.182212i | −0.0155317 | − | 0.00720255i | ||||
\(641\) | 6.92467 | − | 11.9939i | 0.273508 | − | 0.473730i | −0.696250 | − | 0.717800i | \(-0.745149\pi\) |
0.969758 | + | 0.244070i | \(0.0784826\pi\) | |||||||
\(642\) | 22.0127 | + | 15.1498i | 0.868771 | + | 0.597915i | ||||
\(643\) | 38.3905 | + | 22.1647i | 1.51397 | + | 0.874092i | 0.999866 | + | 0.0163656i | \(0.00520955\pi\) |
0.514106 | + | 0.857727i | \(0.328124\pi\) | |||||||
\(644\) | −0.110277 | + | 10.8052i | −0.00434553 | + | 0.425784i | ||||
\(645\) | −20.0915 | + | 0.204931i | −0.791104 | + | 0.00806914i | ||||
\(646\) | −22.2195 | −0.874216 | ||||||||
\(647\) | 6.32230 | − | 3.65018i | 0.248555 | − | 0.143503i | −0.370547 | − | 0.928814i | \(-0.620830\pi\) |
0.619103 | + | 0.785310i | \(0.287497\pi\) | |||||||
\(648\) | 8.58880 | − | 26.2033i | 0.337400 | − | 1.02936i | ||||
\(649\) | −0.542277 | + | 0.939251i | −0.0212862 | + | 0.0368688i | ||||
\(650\) | −25.3884 | + | 4.58764i | −0.995816 | + | 0.179942i | ||||
\(651\) | −22.2019 | − | 15.6163i | −0.870160 | − | 0.612051i | ||||
\(652\) | −13.5047 | − | 7.79697i | −0.528887 | − | 0.305353i | ||||
\(653\) | 10.4027 | − | 6.00603i | 0.407091 | − | 0.235034i | −0.282448 | − | 0.959283i | \(-0.591147\pi\) |
0.689539 | + | 0.724249i | \(0.257813\pi\) | |||||||
\(654\) | −14.3546 | − | 30.1450i | −0.561308 | − | 1.17876i | ||||
\(655\) | −9.42692 | + | 0.844873i | −0.368340 | + | 0.0330119i | ||||
\(656\) | −2.90272 | + | 5.02766i | −0.113332 | + | 0.196297i | ||||
\(657\) | −21.4198 | + | 8.19059i | −0.835666 | + | 0.319545i | ||||
\(658\) | 13.4265 | − | 22.7167i | 0.523419 | − | 0.885591i | ||||
\(659\) | 10.4638 | + | 18.1239i | 0.407612 | + | 0.706005i | 0.994622 | − | 0.103575i | \(-0.0330281\pi\) |
−0.587009 | + | 0.809580i | \(0.699695\pi\) | |||||||
\(660\) | 2.44985 | − | 1.44793i | 0.0953602 | − | 0.0563608i | ||||
\(661\) | −27.9730 | −1.08803 | −0.544013 | − | 0.839077i | \(-0.683096\pi\) | ||||
−0.544013 | + | 0.839077i | \(0.683096\pi\) | |||||||
\(662\) | − | 17.0969i | − | 0.664490i | ||||||
\(663\) | 3.61932 | − | 45.6115i | 0.140563 | − | 1.77141i | ||||
\(664\) | −17.6329 | − | 30.5411i | −0.684290 | − | 1.18523i | ||||
\(665\) | 21.6407 | − | 1.71708i | 0.839190 | − | 0.0665855i | ||||
\(666\) | −18.7959 | + | 23.1499i | −0.728327 | + | 0.897039i | ||||
\(667\) | 20.9997 | + | 12.1242i | 0.813113 | + | 0.469451i | ||||
\(668\) | 7.28899 | + | 4.20830i | 0.282019 | + | 0.162824i | ||||
\(669\) | −18.3510 | − | 38.5376i | −0.709490 | − | 1.48995i | ||||
\(670\) | 0.201748 | − | 0.435053i | 0.00779420 | − | 0.0168076i | ||||
\(671\) | 1.25144 | − | 2.16756i | 0.0483113 | − | 0.0836776i | ||||
\(672\) | −11.2877 | + | 16.0479i | −0.435434 | + | 0.619061i | ||||
\(673\) | 16.2514 | − | 9.38274i | 0.626444 | − | 0.361678i | −0.152929 | − | 0.988237i | \(-0.548871\pi\) |
0.779374 | + | 0.626559i | \(0.215537\pi\) | |||||||
\(674\) | −3.94476 | + | 6.83253i | −0.151947 | + | 0.263179i | ||||
\(675\) | −23.2243 | + | 11.6460i | −0.893906 | + | 0.448255i | ||||
\(676\) | 3.88612 | + | 6.73096i | 0.149466 | + | 0.258883i | ||||
\(677\) | 45.5985i | 1.75249i | 0.481862 | + | 0.876247i | \(0.339961\pi\) | ||||
−0.481862 | + | 0.876247i | \(0.660039\pi\) | |||||||
\(678\) | 16.6042 | + | 11.4275i | 0.637681 | + | 0.438872i | ||||
\(679\) | 0.430808 | − | 42.2116i | 0.0165329 | − | 1.61993i | ||||
\(680\) | −37.9931 | + | 3.40507i | −1.45697 | + | 0.130579i | ||||
\(681\) | 13.3835 | − | 19.4462i | 0.512856 | − | 0.745180i | ||||
\(682\) | 5.01591 | + | 2.89594i | 0.192069 | + | 0.110891i | ||||
\(683\) | −34.1296 | + | 19.7047i | −1.30593 | + | 0.753980i | −0.981415 | − | 0.191899i | \(-0.938535\pi\) |
−0.324518 | + | 0.945880i | \(0.605202\pi\) | |||||||
\(684\) | 5.67059 | − | 6.98415i | 0.216820 | − | 0.267046i | ||||
\(685\) | 15.9895 | − | 11.2465i | 0.610926 | − | 0.429707i | ||||
\(686\) | 0.616578 | − | 20.1323i | 0.0235411 | − | 0.768655i | ||||
\(687\) | 3.33576 | − | 1.58843i | 0.127267 | − | 0.0606025i | ||||
\(688\) | −7.62739 | + | 4.40368i | −0.290792 | + | 0.167889i | ||||
\(689\) | −24.6712 | −0.939896 | ||||||||
\(690\) | 0.214699 | + | 21.0492i | 0.00817344 | + | 0.801329i | ||||
\(691\) | 20.8027 | 0.791370 | 0.395685 | − | 0.918386i | \(-0.370507\pi\) | ||||
0.395685 | + | 0.918386i | \(0.370507\pi\) | |||||||
\(692\) | 14.3871i | 0.546917i | ||||||||
\(693\) | 2.48068 | + | 6.69133i | 0.0942334 | + | 0.254182i | ||||
\(694\) | 4.45276 | 0.169024 | ||||||||
\(695\) | 8.32293 | + | 11.8329i | 0.315707 | + | 0.448849i | ||||
\(696\) | 11.0701 | + | 23.2475i | 0.419610 | + | 0.881193i | ||||
\(697\) | 19.0399i | 0.721188i | ||||||||
\(698\) | 6.97104 | − | 4.02473i | 0.263858 | − | 0.152338i | ||||
\(699\) | −23.6826 | + | 34.4107i | −0.895757 | + | 1.30153i | ||||
\(700\) | 10.6577 | − | 1.81371i | 0.402823 | − | 0.0685518i | ||||
\(701\) | 3.57398 | 0.134987 | 0.0674936 | − | 0.997720i | \(-0.478500\pi\) | ||||
0.0674936 | + | 0.997720i | \(0.478500\pi\) | |||||||
\(702\) | −19.4128 | − | 18.4936i | −0.732688 | − | 0.697995i | ||||
\(703\) | −29.0442 | + | 16.7687i | −1.09542 | + | 0.632443i | ||||
\(704\) | 3.61961 | − | 6.26935i | 0.136419 | − | 0.236285i | ||||
\(705\) | −17.4445 | + | 30.9392i | −0.656996 | + | 1.16524i | ||||
\(706\) | −0.508267 | + | 0.880344i | −0.0191289 | + | 0.0331322i | ||||
\(707\) | −11.2167 | − | 19.8940i | −0.421846 | − | 0.748190i | ||||
\(708\) | −0.135064 | + | 1.70210i | −0.00507600 | + | 0.0639690i | ||||
\(709\) | −33.7904 | −1.26903 | −0.634513 | − | 0.772912i | \(-0.718799\pi\) | ||||
−0.634513 | + | 0.772912i | \(0.718799\pi\) | |||||||
\(710\) | −18.2784 | − | 8.47625i | −0.685975 | − | 0.318108i | ||||
\(711\) | −9.32232 | − | 1.48885i | −0.349614 | − | 0.0558361i | ||||
\(712\) | −3.83921 | − | 2.21657i | −0.143880 | − | 0.0830694i | ||||
\(713\) | 25.6363 | − | 14.8011i | 0.960088 | − | 0.554307i | ||||
\(714\) | 2.47718 | − | 27.6380i | 0.0927063 | − | 1.03433i | ||||
\(715\) | −0.851467 | − | 9.50050i | −0.0318431 | − | 0.355299i | ||||
\(716\) | 1.27146 | + | 2.20224i | 0.0475168 | + | 0.0823015i | ||||
\(717\) | 23.0032 | + | 15.8315i | 0.859070 | + | 0.591239i | ||||
\(718\) | 19.1970 | + | 11.0834i | 0.716425 | + | 0.413628i | ||||
\(719\) | 13.9199 | − | 24.1100i | 0.519126 | − | 0.899153i | −0.480627 | − | 0.876925i | \(-0.659591\pi\) |
0.999753 | − | 0.0222275i | \(-0.00707582\pi\) | |||||||
\(720\) | −6.36048 | + | 9.44665i | −0.237041 | + | 0.352056i | ||||
\(721\) | 0.0668775 | − | 6.55281i | 0.00249065 | − | 0.244039i | ||||
\(722\) | 5.21331 | − | 3.00991i | 0.194019 | − | 0.112017i | ||||
\(723\) | −6.50816 | − | 4.47912i | −0.242041 | − | 0.166580i | ||||
\(724\) | 17.6603 | 0.656342 | ||||||||
\(725\) | 8.20076 | − | 22.8319i | 0.304569 | − | 0.847955i | ||||
\(726\) | 8.25374 | + | 17.3331i | 0.306325 | + | 0.643292i | ||||
\(727\) | 4.20007 | − | 2.42491i | 0.155772 | − | 0.0899350i | −0.420088 | − | 0.907483i | \(-0.638001\pi\) |
0.575860 | + | 0.817548i | \(0.304667\pi\) | |||||||
\(728\) | 18.8893 | + | 33.5022i | 0.700083 | + | 1.24167i | ||||
\(729\) | −24.0095 | − | 12.3508i | −0.889242 | − | 0.457437i | ||||
\(730\) | 18.5151 | − | 1.65939i | 0.685274 | − | 0.0614166i | ||||
\(731\) | −14.4426 | + | 25.0153i | −0.534178 | + | 0.925224i | ||||
\(732\) | 0.311693 | − | 3.92803i | 0.0115205 | − | 0.145184i | ||||
\(733\) | 6.23853 | − | 3.60182i | 0.230425 | − | 0.133036i | −0.380343 | − | 0.924846i | \(-0.624194\pi\) |
0.610768 | + | 0.791809i | \(0.290861\pi\) | |||||||
\(734\) | 4.39977 | − | 7.62062i | 0.162398 | − | 0.281282i | ||||
\(735\) | −0.276842 | + | 27.1095i | −0.0102115 | + | 0.999948i | ||||
\(736\) | −10.6985 | − | 18.5304i | −0.394353 | − | 0.683039i | ||||
\(737\) | 0.153547 | + | 0.0886502i | 0.00565597 | + | 0.00326547i | ||||
\(738\) | 8.66164 | + | 7.03258i | 0.318839 | + | 0.258873i | ||||
\(739\) | 10.4815 | + | 18.1544i | 0.385567 | + | 0.667822i | 0.991848 | − | 0.127429i | \(-0.0406725\pi\) |
−0.606281 | + | 0.795251i | \(0.707339\pi\) | |||||||
\(740\) | −13.6608 | + | 9.60859i | −0.502182 | + | 0.353219i | ||||
\(741\) | −12.9643 | − | 27.2254i | −0.476256 | − | 1.00015i | ||||
\(742\) | −14.9615 | − | 0.152696i | −0.549252 | − | 0.00560563i | ||||
\(743\) | −22.7236 | − | 13.1195i | −0.833649 | − | 0.481307i | 0.0214515 | − | 0.999770i | \(-0.493171\pi\) |
−0.855100 | + | 0.518462i | \(0.826505\pi\) | |||||||
\(744\) | 31.3352 | + | 2.48648i | 1.14881 | + | 0.0911589i | ||||
\(745\) | −36.7443 | + | 3.29315i | −1.34621 | + | 0.120652i | ||||
\(746\) | −12.5901 | − | 21.8068i | −0.460958 | − | 0.798402i | ||||
\(747\) | −32.2530 | + | 12.3330i | −1.18007 | + | 0.451242i | ||||
\(748\) | − | 4.09105i | − | 0.149584i | ||||||
\(749\) | −32.6941 | + | 18.4337i | −1.19462 | + | 0.673551i | ||||
\(750\) | 20.6855 | − | 3.95611i | 0.755326 | − | 0.144457i | ||||
\(751\) | −6.23584 | − | 10.8008i | −0.227549 | − | 0.394127i | 0.729532 | − | 0.683947i | \(-0.239738\pi\) |
−0.957081 | + | 0.289820i | \(0.906405\pi\) | |||||||
\(752\) | 15.5690i | 0.567743i | ||||||||
\(753\) | 2.31684 | − | 29.1974i | 0.0844305 | − | 1.06401i | ||||
\(754\) | 25.0359 | 0.911754 | ||||||||
\(755\) | 10.3055 | + | 14.6516i | 0.375055 | + | 0.533227i | ||||
\(756\) | 8.05512 | + | 7.83207i | 0.292962 | + | 0.284850i | ||||
\(757\) | 16.1928i | 0.588536i | 0.955723 | + | 0.294268i | \(0.0950758\pi\) | ||||
−0.955723 | + | 0.294268i | \(0.904924\pi\) | |||||||
\(758\) | 21.3311i | 0.774780i | ||||||||
\(759\) | −7.75830 | − | 0.615629i | −0.281608 | − | 0.0223459i | ||||
\(760\) | −20.5625 | + | 14.4630i | −0.745881 | + | 0.524630i | ||||
\(761\) | −26.5462 | − | 45.9794i | −0.962299 | − | 1.66675i | −0.716702 | − | 0.697380i | \(-0.754349\pi\) |
−0.245598 | − | 0.969372i | \(-0.578984\pi\) | |||||||
\(762\) | 1.71251 | − | 21.5815i | 0.0620378 | − | 0.781815i | ||||
\(763\) | 46.8931 | + | 0.478588i | 1.69764 | + | 0.0173260i | ||||
\(764\) | −4.54168 | −0.164312 | ||||||||
\(765\) | −2.57457 | + | 37.2612i | −0.0930838 | + | 1.34718i | ||||
\(766\) | 3.64567 | + | 6.31449i | 0.131724 | + | 0.228152i | ||||
\(767\) | 4.95641 | + | 2.86159i | 0.178966 | + | 0.103326i | ||||
\(768\) | 2.17744 | − | 27.4407i | 0.0785718 | − | 0.990180i | ||||
\(769\) | 11.7274 | − | 20.3125i | 0.422902 | − | 0.732487i | −0.573320 | − | 0.819331i | \(-0.694345\pi\) |
0.996222 | + | 0.0868442i | \(0.0276782\pi\) | |||||||
\(770\) | −0.457559 | − | 5.76671i | −0.0164893 | − | 0.207818i | ||||
\(771\) | −15.9341 | − | 33.4620i | −0.573852 | − | 1.20511i | ||||
\(772\) | 6.55490i | 0.235916i | ||||||||
\(773\) | 20.1696 | − | 11.6449i | 0.725451 | − | 0.418839i | −0.0913047 | − | 0.995823i | \(-0.529104\pi\) |
0.816756 | + | 0.576984i | \(0.195770\pi\) | |||||||
\(774\) | 6.04544 | + | 15.8099i | 0.217299 | + | 0.568274i | ||||
\(775\) | −19.1330 | − | 22.6067i | −0.687278 | − | 0.812055i | ||||
\(776\) | 24.4426 | + | 42.3358i | 0.877438 | + | 1.51977i | ||||
\(777\) | −17.6199 | − | 37.9965i | −0.632109 | − | 1.36312i | ||||
\(778\) | 5.35959 | + | 3.09436i | 0.192150 | + | 0.110938i | ||||
\(779\) | 6.27409 | + | 10.8670i | 0.224792 | + | 0.389352i | ||||
\(780\) | −7.64073 | − | 12.9278i | −0.273582 | − | 0.462890i | ||||
\(781\) | 3.72456 | − | 6.45113i | 0.133275 | − | 0.230839i | ||||
\(782\) | 26.2076 | + | 15.1310i | 0.937183 | + | 0.541083i | ||||
\(783\) | 24.1873 | − | 7.11371i | 0.864384 | − | 0.254223i | ||||
\(784\) | 5.73058 | + | 10.4108i | 0.204664 | + | 0.371813i | ||||
\(785\) | −6.33103 | − | 2.93590i | −0.225964 | − | 0.104787i | ||||
\(786\) | 3.42791 | + | 7.19871i | 0.122270 | + | 0.256770i | ||||
\(787\) | − | 38.1460i | − | 1.35976i | −0.733324 | − | 0.679879i | \(-0.762032\pi\) | ||
0.733324 | − | 0.679879i | \(-0.237968\pi\) | |||||||
\(788\) | 1.15343i | 0.0410892i | ||||||||
\(789\) | −3.59949 | + | 5.23006i | −0.128145 | + | 0.186195i | ||||
\(790\) | 6.94242 | + | 3.21942i | 0.247000 | + | 0.114542i | ||||
\(791\) | −24.6612 | + | 13.9045i | −0.876852 | + | 0.494389i | ||||
\(792\) | −6.41576 | − | 5.20911i | −0.227974 | − | 0.185098i | ||||
\(793\) | −11.4382 | − | 6.60383i | −0.406181 | − | 0.234509i | ||||
\(794\) | −15.0016 | + | 25.9836i | −0.532388 | + | 0.922122i | ||||
\(795\) | 20.1382 | − | 0.205406i | 0.714228 | − | 0.00728501i | ||||
\(796\) | −10.0395 | − | 17.3889i | −0.355840 | − | 0.616333i | ||||
\(797\) | −12.1001 | − | 6.98598i | −0.428607 | − | 0.247456i | 0.270146 | − | 0.962819i | \(-0.412928\pi\) |
−0.698753 | + | 0.715363i | \(0.746261\pi\) | |||||||
\(798\) | −7.69351 | − | 16.5907i | −0.272347 | − | 0.587304i | ||||
\(799\) | 25.5305 | + | 44.2202i | 0.903206 | + | 1.56440i | ||||
\(800\) | −16.3405 | + | 13.8297i | −0.577724 | + | 0.488953i | ||||
\(801\) | −2.73604 | + | 3.36983i | −0.0966733 | + | 0.119067i | ||||
\(802\) | −13.9421 | + | 8.04948i | −0.492313 | + | 0.284237i | ||||
\(803\) | 6.87281i | 0.242536i | ||||||||
\(804\) | 0.278256 | + | 0.0220799i | 0.00981334 | + | 0.000778699i | ||||
\(805\) | −26.6942 | − | 12.7115i | −0.940847 | − | 0.448023i | ||||
\(806\) | 15.2818 | − | 26.4689i | 0.538280 | − | 0.932328i | ||||
\(807\) | 35.2528 | − | 16.7868i | 1.24096 | − | 0.590924i | ||||
\(808\) | 22.9043 | + | 13.2238i | 0.805769 | + | 0.465211i | ||||
\(809\) | −5.54651 | − | 9.60684i | −0.195005 | − | 0.337758i | 0.751897 | − | 0.659280i | \(-0.229139\pi\) |
−0.946902 | + | 0.321522i | \(0.895806\pi\) | |||||||
\(810\) | 15.9999 | + | 14.9340i | 0.562180 | + | 0.524728i | ||||
\(811\) | −16.2762 | −0.571534 | −0.285767 | − | 0.958299i | \(-0.592248\pi\) | ||||
−0.285767 | + | 0.958299i | \(0.592248\pi\) | |||||||
\(812\) | −10.4904 | − | 0.107064i | −0.368140 | − | 0.00375721i | ||||
\(813\) | 5.40418 | + | 3.71933i | 0.189533 | + | 0.130443i | ||||
\(814\) | 4.46844 | + | 7.73956i | 0.156619 | + | 0.271271i | ||||
\(815\) | 34.8992 | − | 24.5470i | 1.22247 | − | 0.859845i | ||||
\(816\) | 7.03877 | + | 14.7816i | 0.246406 | + | 0.517461i | ||||
\(817\) | 19.0366i | 0.666008i | ||||||||
\(818\) | − | 18.9780i | − | 0.663549i | ||||||
\(819\) | 35.3100 | − | 13.0905i | 1.23383 | − | 0.457420i | ||||
\(820\) | 3.59510 | + | 5.11126i | 0.125546 | + | 0.178493i | ||||
\(821\) | −41.9201 | −1.46302 | −0.731512 | − | 0.681829i | \(-0.761185\pi\) | ||||
−0.731512 | + | 0.681829i | \(0.761185\pi\) | |||||||
\(822\) | −13.5657 | − | 9.33634i | −0.473158 | − | 0.325642i | ||||
\(823\) | 44.7737i | 1.56071i | 0.625334 | + | 0.780357i | \(0.284963\pi\) | ||||
−0.625334 | + | 0.780357i | \(0.715037\pi\) | |||||||
\(824\) | 3.79440 | + | 6.57210i | 0.132184 | + | 0.228950i | ||||
\(825\) | 0.774121 | + | 7.74783i | 0.0269514 | + | 0.269745i | ||||
\(826\) | 2.98803 | + | 1.76604i | 0.103967 | + | 0.0614485i | ||||
\(827\) | 28.3554i | 0.986015i | 0.870025 | + | 0.493007i | \(0.164102\pi\) | ||||
−0.870025 | + | 0.493007i | \(0.835898\pi\) | |||||||
\(828\) | −11.4444 | + | 4.37616i | −0.397721 | + | 0.152082i | ||||
\(829\) | −6.94632 | − | 12.0314i | −0.241256 | − | 0.417867i | 0.719817 | − | 0.694164i | \(-0.244226\pi\) |
−0.961072 | + | 0.276297i | \(0.910893\pi\) | |||||||
\(830\) | 27.8792 | − | 2.49863i | 0.967700 | − | 0.0867286i | ||||
\(831\) | 16.7684 | − | 24.3645i | 0.581689 | − | 0.845194i | ||||
\(832\) | −33.0833 | − | 19.1006i | −1.14696 | − | 0.662196i | ||||
\(833\) | 33.3483 | + | 20.1722i | 1.15545 | + | 0.698925i | ||||
\(834\) | 6.90932 | − | 10.0392i | 0.239250 | − | 0.347631i | ||||
\(835\) | −18.8363 | + | 13.2489i | −0.651858 | + | 0.458497i | ||||
\(836\) | −1.34810 | − | 2.33497i | −0.0466248 | − | 0.0807566i | ||||
\(837\) | 7.24297 | − | 29.9139i | 0.250354 | − | 1.03398i | ||||
\(838\) | −17.4972 | − | 10.1020i | −0.604431 | − | 0.348968i | ||||
\(839\) | 6.97311 | + | 12.0778i | 0.240739 | + | 0.416971i | 0.960925 | − | 0.276809i | \(-0.0892770\pi\) |
−0.720186 | + | 0.693781i | \(0.755944\pi\) | |||||||
\(840\) | −15.6976 | − | 27.1894i | −0.541618 | − | 0.938123i | ||||
\(841\) | 2.72905 | − | 4.72686i | 0.0941053 | − | 0.162995i | ||||
\(842\) | −27.4542 | + | 15.8507i | −0.946133 | + | 0.546250i | ||||
\(843\) | −16.3298 | + | 7.77599i | −0.562429 | + | 0.267819i | ||||
\(844\) | 5.46228 | − | 9.46094i | 0.188019 | − | 0.325659i | ||||
\(845\) | −21.1812 | + | 1.89833i | −0.728655 | + | 0.0653046i | ||||
\(846\) | 29.5466 | + | 4.71882i | 1.01583 | + | 0.162236i | ||||
\(847\) | −26.9631 | − | 0.275184i | −0.926463 | − | 0.00945542i | ||||
\(848\) | 7.64510 | − | 4.41390i | 0.262534 | − | 0.151574i | ||||
\(849\) | −2.14391 | − | 0.170122i | −0.0735789 | − | 0.00583856i | ||||
\(850\) | 10.2345 | − | 28.4942i | 0.351042 | − | 0.977342i | ||||
\(851\) | 45.6763 | 1.56576 | ||||||||
\(852\) | 0.927668 | − | 11.6907i | 0.0317814 | − | 0.400516i | ||||
\(853\) | −13.5450 | + | 7.82023i | −0.463773 | + | 0.267760i | −0.713629 | − | 0.700523i | \(-0.752950\pi\) |
0.249856 | + | 0.968283i | \(0.419617\pi\) | |||||||
\(854\) | −6.89564 | − | 4.07559i | −0.235964 | − | 0.139464i | ||||
\(855\) | 10.8090 | + | 22.1152i | 0.369659 | + | 0.756324i | ||||
\(856\) | 21.7322 | − | 37.6412i | 0.742790 | − | 1.28655i | ||||
\(857\) | −7.63203 | − | 4.40635i | −0.260705 | − | 0.150518i | 0.363951 | − | 0.931418i | \(-0.381428\pi\) |
−0.624656 | + | 0.780900i | \(0.714761\pi\) | |||||||
\(858\) | −7.25490 | + | 3.45467i | −0.247678 | + | 0.117940i | ||||
\(859\) | 16.3647 | + | 28.3445i | 0.558356 | + | 0.967101i | 0.997634 | + | 0.0687500i | \(0.0219011\pi\) |
−0.439278 | + | 0.898351i | \(0.644766\pi\) | |||||||
\(860\) | 0.846259 | + | 9.44239i | 0.0288572 | + | 0.321983i | ||||
\(861\) | −14.2166 | + | 6.59256i | −0.484499 | + | 0.224674i | ||||
\(862\) | −2.44061 | + | 1.40909i | −0.0831276 | + | 0.0479937i | ||||
\(863\) | 41.7889 | + | 24.1268i | 1.42251 | + | 0.821287i | 0.996513 | − | 0.0834379i | \(-0.0265900\pi\) |
0.425997 | + | 0.904725i | \(0.359923\pi\) | |||||||
\(864\) | −21.6223 | − | 5.23535i | −0.735606 | − | 0.178110i | ||||
\(865\) | −35.7124 | − | 16.5610i | −1.21426 | − | 0.563090i | ||||
\(866\) | 33.4715 | 1.13741 | ||||||||
\(867\) | 19.9759 | + | 13.7481i | 0.678418 | + | 0.466908i | ||||
\(868\) | −6.51648 | + | 11.0255i | −0.221184 | + | 0.374229i | ||||
\(869\) | −1.41465 | + | 2.45024i | −0.0479887 | + | 0.0831188i | ||||
\(870\) | −20.4359 | + | 0.208443i | −0.692842 | + | 0.00706689i | ||||
\(871\) | 0.467806 | − | 0.810264i | 0.0158510 | − | 0.0274547i | ||||
\(872\) | −47.0312 | + | 27.1535i | −1.59268 | + | 0.919532i | ||||
\(873\) | 44.7088 | − | 17.0959i | 1.51316 | − | 0.578609i | ||||
\(874\) | 19.9440 | 0.674616 | ||||||||
\(875\) | −7.76595 | + | 28.5428i | −0.262537 | + | 0.964922i | ||||
\(876\) | 4.65188 | + | 9.76909i | 0.157173 | + | 0.330067i | ||||
\(877\) | −40.0692 | + | 23.1340i | −1.35304 | + | 0.781179i | −0.988674 | − | 0.150077i | \(-0.952048\pi\) |
−0.364367 | + | 0.931255i | \(0.618715\pi\) | |||||||
\(878\) | 36.8533i | 1.24374i | ||||||||
\(879\) | 3.40858 | − | 4.95267i | 0.114969 | − | 0.167049i | ||||
\(880\) | 1.96358 | + | 2.79168i | 0.0661923 | + | 0.0941075i | ||||
\(881\) | 2.96913 | 0.100032 | 0.0500162 | − | 0.998748i | \(-0.484073\pi\) | ||||
0.0500162 | + | 0.998748i | \(0.484073\pi\) | |||||||
\(882\) | 21.4943 | − | 7.72002i | 0.723749 | − | 0.259946i | ||||
\(883\) | − | 1.66096i | − | 0.0558956i | −0.999609 | − | 0.0279478i | \(-0.991103\pi\) | ||
0.999609 | − | 0.0279478i | \(-0.00889722\pi\) | |||||||
\(884\) | −21.5884 | −0.726097 | ||||||||
\(885\) | −4.06957 | − | 2.29454i | −0.136797 | − | 0.0771303i | ||||
\(886\) | −30.1181 | −1.01184 | ||||||||
\(887\) | 15.6505 | − | 9.03581i | 0.525492 | − | 0.303393i | −0.213687 | − | 0.976902i | \(-0.568547\pi\) |
0.739179 | + | 0.673509i | \(0.235214\pi\) | |||||||
\(888\) | 39.9542 | + | 27.4978i | 1.34078 | + | 0.922764i | ||||
\(889\) | 26.1772 | + | 15.4718i | 0.877956 | + | 0.518906i | ||||
\(890\) | 2.87801 | − | 2.02431i | 0.0964713 | − | 0.0678549i | ||||
\(891\) | −6.02739 | + | 5.39898i | −0.201925 | + | 0.180873i | ||||
\(892\) | −17.4412 | + | 10.0697i | −0.583975 | + | 0.337158i | ||||
\(893\) | 29.1431 | + | 16.8258i | 0.975238 | + | 0.563054i | ||||
\(894\) | 13.3613 | + | 28.0591i | 0.446869 | + | 0.938438i | ||||
\(895\) | −6.93007 | + | 0.621097i | −0.231647 | + | 0.0207610i | ||||
\(896\) | −0.441176 | − | 0.260752i | −0.0147386 | − | 0.00871111i | ||||
\(897\) | −3.24866 | + | 40.9404i | −0.108470 | + | 1.36696i | ||||
\(898\) | − | 29.0700i | − | 0.970080i | ||||||
\(899\) | 14.3699 | + | 24.8894i | 0.479263 | + | 0.830107i | ||||
\(900\) | 6.34449 | + | 10.4889i | 0.211483 | + | 0.349630i | ||||
\(901\) | 14.4761 | − | 25.0734i | 0.482269 | − | 0.835315i | ||||
\(902\) | 2.89579 | − | 1.67189i | 0.0964194 | − | 0.0556678i | ||||
\(903\) | −23.6790 | − | 2.12233i | −0.787986 | − | 0.0706268i | ||||
\(904\) | 16.3926 | − | 28.3929i | 0.545211 | − | 0.944333i | ||||
\(905\) | −20.3287 | + | 43.8373i | −0.675750 | + | 1.45720i | ||||
\(906\) | 8.55515 | − | 12.4306i | 0.284226 | − | 0.412980i | ||||
\(907\) | −8.97440 | − | 5.18137i | −0.297990 | − | 0.172045i | 0.343550 | − | 0.939135i | \(-0.388371\pi\) |
−0.641540 | + | 0.767090i | \(0.721704\pi\) | |||||||
\(908\) | −9.64601 | − | 5.56913i | −0.320114 | − | 0.184818i | ||||
\(909\) | 16.3229 | − | 20.1040i | 0.541397 | − | 0.666808i | ||||
\(910\) | −30.4308 | + | 2.41453i | −1.00877 | + | 0.0800409i | ||||
\(911\) | −1.97637 | − | 3.42317i | −0.0654800 | − | 0.113415i | 0.831427 | − | 0.555634i | \(-0.187525\pi\) |
−0.896907 | + | 0.442220i | \(0.854191\pi\) | |||||||
\(912\) | 8.88826 | + | 6.11718i | 0.294320 | + | 0.202560i | ||||
\(913\) | 10.3488i | 0.342494i | ||||||||
\(914\) | −30.0333 | −0.993413 | ||||||||
\(915\) | 9.39155 | + | 5.29524i | 0.310475 | + | 0.175055i | ||||
\(916\) | −0.871618 | − | 1.50969i | −0.0287991 | − | 0.0498814i | ||||
\(917\) | −11.1982 | − | 0.114288i | −0.369797 | − | 0.00377413i | ||||
\(918\) | 30.1857 | − | 8.87790i | 0.996278 | − | 0.293014i | ||||
\(919\) | −29.5683 | + | 51.2138i | −0.975368 | + | 1.68939i | −0.296655 | + | 0.954985i | \(0.595871\pi\) |
−0.678714 | + | 0.734403i | \(0.737462\pi\) | |||||||
\(920\) | 34.1022 | − | 3.05636i | 1.12432 | − | 0.100765i | ||||
\(921\) | 8.78846 | + | 0.697373i | 0.289590 | + | 0.0229792i | ||||
\(922\) | −14.7836 | + | 8.53530i | −0.486871 | + | 0.281095i | ||||
\(923\) | −34.0425 | − | 19.6545i | −1.12052 | − | 0.646934i | ||||
\(924\) | 3.05467 | − | 1.41653i | 0.100491 | − | 0.0466003i | ||||
\(925\) | −8.12598 | − | 44.9699i | −0.267181 | − | 1.47860i | ||||
\(926\) | −20.3232 | + | 35.2008i | −0.667862 | + | 1.15677i | ||||
\(927\) | 6.94047 | − | 2.65392i | 0.227955 | − | 0.0871663i | ||||
\(928\) | 17.9905 | − | 10.3868i | 0.590567 | − | 0.340964i | ||||
\(929\) | −53.7469 | −1.76338 | −0.881689 | − | 0.471831i | \(-0.843593\pi\) | ||||
−0.881689 | + | 0.471831i | \(0.843593\pi\) | |||||||
\(930\) | −12.2536 | + | 21.7329i | −0.401813 | + | 0.712648i | ||||
\(931\) | 25.6807 | + | 0.524246i | 0.841653 | + | 0.0171815i | ||||
\(932\) | 17.0690 | + | 9.85477i | 0.559112 | + | 0.322804i | ||||
\(933\) | −1.98376 | + | 24.9999i | −0.0649455 | + | 0.818459i | ||||
\(934\) | −3.43895 | + | 5.95644i | −0.112526 | + | 0.194901i | ||||
\(935\) | 10.1550 | + | 4.70919i | 0.332104 | + | 0.154007i | ||||
\(936\) | −27.4884 | + | 33.8559i | −0.898486 | + | 1.10661i | ||||
\(937\) | − | 25.3844i | − | 0.829274i | −0.909987 | − | 0.414637i | \(-0.863909\pi\) | ||
0.909987 | − | 0.414637i | \(-0.136091\pi\) | |||||||
\(938\) | 0.288709 | − | 0.488477i | 0.00942668 | − | 0.0159493i | ||||
\(939\) | −20.0855 | − | 1.59381i | −0.655466 | − | 0.0520119i | ||||
\(940\) | 15.2033 | + | 7.05025i | 0.495877 | + | 0.229954i | ||||
\(941\) | 25.8044 | 0.841200 | 0.420600 | − | 0.907246i | \(-0.361820\pi\) | ||||
0.420600 | + | 0.907246i | \(0.361820\pi\) | |||||||
\(942\) | −0.465036 | + | 5.86049i | −0.0151517 | + | 0.190945i | ||||
\(943\) | − | 17.0900i | − | 0.556528i | ||||||
\(944\) | −2.04786 | −0.0666521 | ||||||||
\(945\) | −28.7133 | + | 10.9793i | −0.934044 | + | 0.357157i | ||||
\(946\) | 5.07279 | 0.164931 | ||||||||
\(947\) | − | 23.2482i | − | 0.755463i | −0.925915 | − | 0.377732i | \(-0.876704\pi\) | ||
0.925915 | − | 0.377732i | \(-0.123296\pi\) | |||||||
\(948\) | −0.352343 | + | 4.44031i | −0.0114436 | + | 0.144215i | ||||
\(949\) | 36.2677 | 1.17730 | ||||||||
\(950\) | −3.54811 | − | 19.6356i | −0.115116 | − | 0.637062i | ||||
\(951\) | 32.3257 | + | 2.56508i | 1.04823 | + | 0.0831783i | ||||
\(952\) | −45.1319 | − | 0.460613i | −1.46273 | − | 0.0149286i | ||||
\(953\) | − | 14.0065i | − | 0.453715i | −0.973928 | − | 0.226858i | \(-0.927155\pi\) | ||
0.973928 | − | 0.226858i | \(-0.0728452\pi\) | |||||||
\(954\) | −6.05947 | − | 15.8466i | −0.196183 | − | 0.513052i | ||||
\(955\) | 5.22790 | − | 11.2736i | 0.169171 | − | 0.364804i | ||||
\(956\) | 6.58780 | − | 11.4104i | 0.213065 | − | 0.369039i | ||||
\(957\) | 0.597692 | − | 7.53225i | 0.0193206 | − | 0.243483i | ||||
\(958\) | −7.83845 | − | 4.52553i | −0.253249 | − | 0.146213i | ||||
\(959\) | 20.1483 | − | 11.3601i | 0.650623 | − | 0.366836i | ||||
\(960\) | 27.1637 | + | 15.3157i | 0.876706 | + | 0.494313i | ||||
\(961\) | 4.08533 | 0.131785 | ||||||||
\(962\) | 40.8415 | − | 23.5799i | 1.31678 | − | 0.760246i | ||||
\(963\) | −33.0392 | − | 26.8253i | −1.06467 | − | 0.864434i | ||||
\(964\) | −1.86385 | + | 3.22828i | −0.0600305 | + | 0.103976i | ||||
\(965\) | −16.2709 | − | 7.54531i | −0.523778 | − | 0.242892i | ||||
\(966\) | −2.22349 | + | 24.8076i | −0.0715397 | + | 0.798171i | ||||
\(967\) | 1.23131 | + | 0.710899i | 0.0395964 | + | 0.0228610i | 0.519668 | − | 0.854369i | \(-0.326056\pi\) |
−0.480071 | + | 0.877230i | \(0.659389\pi\) | |||||||
\(968\) | 27.0425 | − | 15.6130i | 0.869178 | − | 0.501820i | ||||
\(969\) | 35.2763 | + | 2.79921i | 1.13324 | + | 0.0899235i | ||||
\(970\) | −38.6459 | + | 3.46357i | −1.24084 | + | 0.111209i | ||||
\(971\) | −7.59134 | + | 13.1486i | −0.243618 | + | 0.421958i | −0.961742 | − | 0.273957i | \(-0.911668\pi\) |
0.718124 | + | 0.695915i | \(0.245001\pi\) | |||||||
\(972\) | −4.91308 | + | 11.7538i | −0.157587 | + | 0.377004i | ||||
\(973\) | 8.40697 | + | 14.9107i | 0.269515 | + | 0.478015i | ||||
\(974\) | −15.6461 | − | 27.0999i | −0.501334 | − | 0.868336i | ||||
\(975\) | 40.8852 | − | 4.08503i | 1.30937 | − | 0.130826i | ||||
\(976\) | 4.72595 | 0.151274 | ||||||||
\(977\) | 27.2304i | 0.871178i | 0.900146 | + | 0.435589i | \(0.143460\pi\) | ||||
−0.900146 | + | 0.435589i | \(0.856540\pi\) | |||||||
\(978\) | −29.6090 | − | 20.3778i | −0.946791 | − | 0.651612i | ||||
\(979\) | 0.650452 | + | 1.12662i | 0.0207885 | + | 0.0360068i | ||||
\(980\) | 12.7612 | − | 0.881586i | 0.407643 | − | 0.0281612i | ||||
\(981\) | 18.9920 | + | 49.6673i | 0.606367 | + | 1.58575i | ||||
\(982\) | 2.17348 | + | 1.25486i | 0.0693587 | + | 0.0400442i | ||||
\(983\) | −5.26985 | − | 3.04255i | −0.168082 | − | 0.0970423i | 0.413599 | − | 0.910459i | \(-0.364272\pi\) |
−0.581681 | + | 0.813417i | \(0.697605\pi\) | |||||||
\(984\) | 10.2884 | − | 14.9491i | 0.327983 | − | 0.476559i | ||||
\(985\) | −2.86309 | − | 1.32770i | −0.0912256 | − | 0.0423042i | ||||
\(986\) | −14.6901 | + | 25.4441i | −0.467829 | + | 0.810304i | ||||
\(987\) | −24.1780 | + | 34.3742i | −0.769595 | + | 1.09414i | ||||
\(988\) | −12.3216 | + | 7.11388i | −0.392002 | + | 0.226323i | ||||
\(989\) | 12.9635 | − | 22.4535i | 0.412216 | − | 0.713978i | ||||
\(990\) | 5.89315 | − | 2.88032i | 0.187297 | − | 0.0915427i | ||||
\(991\) | 10.7998 | + | 18.7057i | 0.343066 | + | 0.594207i | 0.985000 | − | 0.172552i | \(-0.0552013\pi\) |
−0.641935 | + | 0.766759i | \(0.721868\pi\) | |||||||
\(992\) | − | 25.3603i | − | 0.805190i | ||||||
\(993\) | −2.15386 | + | 27.1434i | −0.0683507 | + | 0.861371i | ||||
\(994\) | −20.5229 | − | 12.1298i | −0.650948 | − | 0.384735i | ||||
\(995\) | 54.7199 | − | 4.90418i | 1.73474 | − | 0.155473i | ||||
\(996\) | 7.00459 | + | 14.7099i | 0.221949 | + | 0.466099i | ||||
\(997\) | 49.9166 | + | 28.8194i | 1.58087 | + | 0.912718i | 0.994732 | + | 0.102511i | \(0.0326876\pi\) |
0.586143 | + | 0.810208i | \(0.300646\pi\) | |||||||
\(998\) | 10.2497 | − | 5.91765i | 0.324448 | − | 0.187320i | ||||
\(999\) | 32.7572 | − | 34.3853i | 1.03639 | − | 1.08790i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 315.2.r.b.184.14 | ✓ | 84 | |
3.2 | odd | 2 | 945.2.r.b.604.29 | 84 | |||
5.4 | even | 2 | inner | 315.2.r.b.184.29 | yes | 84 | |
7.4 | even | 3 | 315.2.bo.b.4.29 | yes | 84 | ||
9.2 | odd | 6 | 945.2.bo.b.289.29 | 84 | |||
9.7 | even | 3 | 315.2.bo.b.79.14 | yes | 84 | ||
15.14 | odd | 2 | 945.2.r.b.604.14 | 84 | |||
21.11 | odd | 6 | 945.2.bo.b.739.14 | 84 | |||
35.4 | even | 6 | 315.2.bo.b.4.14 | yes | 84 | ||
45.29 | odd | 6 | 945.2.bo.b.289.14 | 84 | |||
45.34 | even | 6 | 315.2.bo.b.79.29 | yes | 84 | ||
63.11 | odd | 6 | 945.2.r.b.424.29 | 84 | |||
63.25 | even | 3 | inner | 315.2.r.b.214.14 | yes | 84 | |
105.74 | odd | 6 | 945.2.bo.b.739.29 | 84 | |||
315.74 | odd | 6 | 945.2.r.b.424.14 | 84 | |||
315.214 | even | 6 | inner | 315.2.r.b.214.29 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.r.b.184.14 | ✓ | 84 | 1.1 | even | 1 | trivial | |
315.2.r.b.184.29 | yes | 84 | 5.4 | even | 2 | inner | |
315.2.r.b.214.14 | yes | 84 | 63.25 | even | 3 | inner | |
315.2.r.b.214.29 | yes | 84 | 315.214 | even | 6 | inner | |
315.2.bo.b.4.14 | yes | 84 | 35.4 | even | 6 | ||
315.2.bo.b.4.29 | yes | 84 | 7.4 | even | 3 | ||
315.2.bo.b.79.14 | yes | 84 | 9.7 | even | 3 | ||
315.2.bo.b.79.29 | yes | 84 | 45.34 | even | 6 | ||
945.2.r.b.424.14 | 84 | 315.74 | odd | 6 | |||
945.2.r.b.424.29 | 84 | 63.11 | odd | 6 | |||
945.2.r.b.604.14 | 84 | 15.14 | odd | 2 | |||
945.2.r.b.604.29 | 84 | 3.2 | odd | 2 | |||
945.2.bo.b.289.14 | 84 | 45.29 | odd | 6 | |||
945.2.bo.b.289.29 | 84 | 9.2 | odd | 6 | |||
945.2.bo.b.739.14 | 84 | 21.11 | odd | 6 | |||
945.2.bo.b.739.29 | 84 | 105.74 | odd | 6 |