Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,7,Mod(2,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.i (of order \(36\), degree \(12\), 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: | \(8.51200109393\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 37.5 |
Dual form | 37.7.i.a.15.2 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{23}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.53836 | + | 11.8770i | −0.692295 | + | 1.48463i | 0.173815 | + | 0.984778i | \(0.444390\pi\) |
−0.866110 | + | 0.499853i | \(0.833387\pi\) | |||||||
\(3\) | 6.06356 | − | 16.6595i | 0.224576 | − | 0.617018i | −0.775318 | − | 0.631571i | \(-0.782410\pi\) |
0.999894 | + | 0.0145530i | \(0.00463253\pi\) | |||||||
\(4\) | −69.2525 | − | 82.5319i | −1.08207 | − | 1.28956i | ||||
\(5\) | 60.5521 | − | 86.4774i | 0.484417 | − | 0.691819i | −0.500326 | − | 0.865837i | \(-0.666786\pi\) |
0.984742 | + | 0.174018i | \(0.0556753\pi\) | |||||||
\(6\) | 164.283 | + | 164.283i | 0.760572 | + | 0.760572i | ||||
\(7\) | 72.0577 | + | 408.660i | 0.210081 | + | 1.19143i | 0.889242 | + | 0.457438i | \(0.151233\pi\) |
−0.679161 | + | 0.733989i | \(0.737656\pi\) | |||||||
\(8\) | 553.647 | − | 148.349i | 1.08134 | − | 0.289745i | ||||
\(9\) | 317.674 | + | 266.560i | 0.435767 | + | 0.365652i | ||||
\(10\) | 691.737 | + | 1198.12i | 0.691737 | + | 1.19812i | ||||
\(11\) | 361.271 | + | 208.580i | 0.271428 | + | 0.156709i | 0.629536 | − | 0.776971i | \(-0.283245\pi\) |
−0.358108 | + | 0.933680i | \(0.616578\pi\) | |||||||
\(12\) | −1794.86 | + | 653.274i | −1.03869 | + | 0.378052i | ||||
\(13\) | 40.2217 | + | 3.51894i | 0.0183076 | + | 0.00160170i | 0.0963058 | − | 0.995352i | \(-0.469297\pi\) |
−0.0779983 | + | 0.996953i | \(0.524853\pi\) | |||||||
\(14\) | −5252.75 | − | 1407.47i | −1.91427 | − | 0.512927i | ||||
\(15\) | −1073.51 | − | 1533.13i | −0.318076 | − | 0.454260i | ||||
\(16\) | −107.003 | + | 606.844i | −0.0261238 | + | 0.148155i | ||||
\(17\) | 483.083 | + | 5521.67i | 0.0983276 | + | 1.12389i | 0.871734 | + | 0.489979i | \(0.162996\pi\) |
−0.773407 | + | 0.633910i | \(0.781449\pi\) | |||||||
\(18\) | −4925.35 | + | 2296.73i | −0.844538 | + | 0.393815i | ||||
\(19\) | 2418.83 | + | 5187.20i | 0.352651 | + | 0.756262i | 0.999982 | − | 0.00594641i | \(-0.00189281\pi\) |
−0.647331 | + | 0.762209i | \(0.724115\pi\) | |||||||
\(20\) | −11330.5 | + | 991.292i | −1.41632 | + | 0.123912i | ||||
\(21\) | 7244.99 | + | 1277.49i | 0.782311 | + | 0.137943i | ||||
\(22\) | −4478.16 | + | 3135.64i | −0.420563 | + | 0.294482i | ||||
\(23\) | −1494.91 | + | 5579.08i | −0.122866 | + | 0.458542i | −0.999755 | − | 0.0221516i | \(-0.992948\pi\) |
0.876889 | + | 0.480693i | \(0.159615\pi\) | |||||||
\(24\) | 885.648 | − | 10123.0i | 0.0640660 | − | 0.732278i | ||||
\(25\) | 1532.29 | + | 4209.93i | 0.0980664 | + | 0.269435i | ||||
\(26\) | −264.557 | + | 458.226i | −0.0150522 | + | 0.0260711i | ||||
\(27\) | 17559.7 | − | 10138.1i | 0.892124 | − | 0.515068i | ||||
\(28\) | 28737.3 | − | 34247.7i | 1.30910 | − | 1.56012i | ||||
\(29\) | 1162.05 | + | 4336.84i | 0.0476466 | + | 0.177820i | 0.985649 | − | 0.168811i | \(-0.0539926\pi\) |
−0.938002 | + | 0.346630i | \(0.887326\pi\) | |||||||
\(30\) | 24154.5 | − | 4259.09i | 0.894611 | − | 0.157744i | ||||
\(31\) | 20374.0 | − | 20374.0i | 0.683898 | − | 0.683898i | −0.276978 | − | 0.960876i | \(-0.589333\pi\) |
0.960876 | + | 0.276978i | \(0.0893330\pi\) | |||||||
\(32\) | 23434.4 | + | 16408.9i | 0.715160 | + | 0.500760i | ||||
\(33\) | 5665.42 | − | 4753.85i | 0.157649 | − | 0.132283i | ||||
\(34\) | −68256.6 | − | 24843.4i | −1.73663 | − | 0.632083i | ||||
\(35\) | 39703.0 | + | 18513.8i | 0.926018 | + | 0.431809i | ||||
\(36\) | − | 44678.2i | − | 0.957610i | ||||||
\(37\) | −40801.1 | + | 30016.6i | −0.805502 | + | 0.592594i | ||||
\(38\) | −75005.0 | −1.36691 | ||||||||
\(39\) | 302.511 | − | 648.736i | 0.00509972 | − | 0.0109364i | ||||
\(40\) | 20695.6 | − | 56860.8i | 0.323369 | − | 0.888450i | ||||
\(41\) | 70012.5 | + | 83437.7i | 1.01584 | + | 1.21063i | 0.977407 | + | 0.211366i | \(0.0677912\pi\) |
0.0384300 | + | 0.999261i | \(0.487764\pi\) | |||||||
\(42\) | −55298.1 | + | 78973.9i | −0.746384 | + | 1.06595i | ||||
\(43\) | −81770.2 | − | 81770.2i | −1.02847 | − | 1.02847i | −0.999583 | − | 0.0288824i | \(-0.990805\pi\) |
−0.0288824 | − | 0.999583i | \(-0.509195\pi\) | |||||||
\(44\) | −7804.41 | − | 44261.0i | −0.0916183 | − | 0.519593i | ||||
\(45\) | 42287.3 | − | 11330.8i | 0.464058 | − | 0.124344i | ||||
\(46\) | −57983.7 | − | 48654.1i | −0.595706 | − | 0.499857i | ||||
\(47\) | 5293.68 | + | 9168.92i | 0.0509875 | + | 0.0883129i | 0.890393 | − | 0.455193i | \(-0.150430\pi\) |
−0.839405 | + | 0.543506i | \(0.817096\pi\) | |||||||
\(48\) | 9460.89 | + | 5462.25i | 0.0855477 | + | 0.0493910i | ||||
\(49\) | −51256.4 | + | 18655.8i | −0.435672 | + | 0.158572i | ||||
\(50\) | −58487.9 | − | 5117.03i | −0.467903 | − | 0.0409362i | ||||
\(51\) | 94917.4 | + | 25433.0i | 0.715542 | + | 0.191729i | ||||
\(52\) | −2495.03 | − | 3563.27i | −0.0177446 | − | 0.0253419i | ||||
\(53\) | 9173.59 | − | 52026.0i | 0.0616186 | − | 0.349456i | −0.938374 | − | 0.345621i | \(-0.887668\pi\) |
0.999993 | − | 0.00383504i | \(-0.00122074\pi\) | |||||||
\(54\) | 23158.7 | + | 264706.i | 0.147073 | + | 1.68105i | ||||
\(55\) | 39913.1 | − | 18611.8i | 0.239899 | − | 0.111867i | ||||
\(56\) | 100519. | + | 215563.i | 0.572379 | + | 1.22747i | ||||
\(57\) | 101083. | − | 8843.61i | 0.545825 | − | 0.0477535i | ||||
\(58\) | −57944.7 | − | 10217.2i | −0.296982 | − | 0.0523659i | ||||
\(59\) | 225282. | − | 157744.i | 1.09691 | − | 0.768065i | 0.122417 | − | 0.992479i | \(-0.460936\pi\) |
0.974494 | + | 0.224414i | \(0.0720467\pi\) | |||||||
\(60\) | −52188.9 | + | 194772.i | −0.241615 | + | 0.901720i | ||||
\(61\) | 31647.6 | − | 361733.i | 0.139428 | − | 1.59367i | −0.528162 | − | 0.849144i | \(-0.677119\pi\) |
0.667590 | − | 0.744529i | \(-0.267326\pi\) | |||||||
\(62\) | 129144. | + | 354822.i | 0.541877 | + | 1.48879i | ||||
\(63\) | −86041.6 | + | 149028.i | −0.344102 | + | 0.596002i | ||||
\(64\) | −358831. | + | 207171.i | −1.36883 | + | 0.790295i | ||||
\(65\) | 2739.82 | − | 3265.19i | 0.00997658 | − | 0.0118896i | ||||
\(66\) | 25084.6 | + | 93617.0i | 0.0872520 | + | 0.325629i | ||||
\(67\) | −174822. | + | 30825.9i | −0.581262 | + | 0.102492i | −0.456545 | − | 0.889700i | \(-0.650913\pi\) |
−0.124717 | + | 0.992192i | \(0.539802\pi\) | |||||||
\(68\) | 422259. | − | 422259.i | 1.34293 | − | 1.34293i | ||||
\(69\) | 83880.2 | + | 58733.5i | 0.255336 | + | 0.178788i | ||||
\(70\) | −439779. | + | 369019.i | −1.28216 | + | 1.07586i | ||||
\(71\) | −523078. | − | 190385.i | −1.46148 | − | 0.531934i | −0.515705 | − | 0.856766i | \(-0.672470\pi\) |
−0.945772 | + | 0.324832i | \(0.894692\pi\) | |||||||
\(72\) | 215424. | + | 100454.i | 0.577159 | + | 0.269134i | ||||
\(73\) | − | 443062.i | − | 1.13893i | −0.822017 | − | 0.569463i | \(-0.807151\pi\) | ||
0.822017 | − | 0.569463i | \(-0.192849\pi\) | |||||||
\(74\) | −130538. | − | 650839.i | −0.322138 | − | 1.60612i | ||||
\(75\) | 79426.4 | 0.188270 | ||||||||
\(76\) | 260600. | − | 558857.i | 0.593653 | − | 1.27309i | ||||
\(77\) | −59205.8 | + | 162666.i | −0.129686 | + | 0.356308i | ||||
\(78\) | 6029.66 | + | 7185.87i | 0.0127060 | + | 0.0151424i | ||||
\(79\) | −148644. | + | 212285.i | −0.301485 | + | 0.430565i | −0.941099 | − | 0.338131i | \(-0.890205\pi\) |
0.639614 | + | 0.768696i | \(0.279094\pi\) | |||||||
\(80\) | 45999.0 | + | 45999.0i | 0.0898418 | + | 0.0898418i | ||||
\(81\) | −9925.24 | − | 56288.8i | −0.0186761 | − | 0.105917i | ||||
\(82\) | −1.37875e6 | + | 369434.i | −2.50059 | + | 0.670032i | ||||
\(83\) | 420535. | + | 352870.i | 0.735474 | + | 0.617136i | 0.931618 | − | 0.363439i | \(-0.118397\pi\) |
−0.196144 | + | 0.980575i | \(0.562842\pi\) | |||||||
\(84\) | −396300. | − | 686412.i | −0.668630 | − | 1.15810i | ||||
\(85\) | 506751. | + | 292573.i | 0.825159 | + | 0.476406i | ||||
\(86\) | 1.42406e6 | − | 518316.i | 2.23889 | − | 0.814890i | ||||
\(87\) | 79295.7 | + | 6937.48i | 0.120418 | + | 0.0105352i | ||||
\(88\) | 230959. | + | 61885.3i | 0.338912 | + | 0.0908112i | ||||
\(89\) | 36413.2 | + | 52003.5i | 0.0516522 | + | 0.0737670i | 0.844147 | − | 0.536111i | \(-0.180107\pi\) |
−0.792495 | + | 0.609878i | \(0.791218\pi\) | |||||||
\(90\) | −99625.2 | + | 565003.i | −0.136660 | + | 0.775038i | ||||
\(91\) | 1460.23 | + | 16690.6i | 0.00193775 | + | 0.0221486i | ||||
\(92\) | 563978. | − | 262987.i | 0.724267 | − | 0.337731i | ||||
\(93\) | −215882. | − | 462959.i | −0.268390 | − | 0.575565i | ||||
\(94\) | −138218. | + | 12092.5i | −0.166411 | + | 0.0145590i | ||||
\(95\) | 595041. | + | 104922.i | 0.694026 | + | 0.122376i | ||||
\(96\) | 415460. | − | 290908.i | 0.469586 | − | 0.328808i | ||||
\(97\) | −39814.2 | + | 148589.i | −0.0436238 | + | 0.162806i | −0.984301 | − | 0.176495i | \(-0.943524\pi\) |
0.940678 | + | 0.339301i | \(0.110191\pi\) | |||||||
\(98\) | 62300.4 | − | 712097.i | 0.0661931 | − | 0.756591i | ||||
\(99\) | 59167.3 | + | 162561.i | 0.0609785 | + | 0.167537i | ||||
\(100\) | 241339. | − | 418011.i | 0.241339 | − | 0.418011i | ||||
\(101\) | 940425. | − | 542955.i | 0.912767 | − | 0.526986i | 0.0314469 | − | 0.999505i | \(-0.489989\pi\) |
0.881321 | + | 0.472519i | \(0.156655\pi\) | |||||||
\(102\) | −827756. | + | 986482.i | −0.780013 | + | 0.929584i | ||||
\(103\) | −292023. | − | 1.08984e6i | −0.267242 | − | 0.997361i | −0.960864 | − | 0.277021i | \(-0.910653\pi\) |
0.693622 | − | 0.720339i | \(-0.256014\pi\) | |||||||
\(104\) | 22790.7 | − | 4018.61i | 0.0202608 | − | 0.00357253i | ||||
\(105\) | 549173. | − | 549173.i | 0.474396 | − | 0.474396i | ||||
\(106\) | 567109. | + | 397094.i | 0.476156 | + | 0.333408i | ||||
\(107\) | −1.74394e6 | + | 1.46334e6i | −1.42357 | + | 1.19452i | −0.474183 | + | 0.880426i | \(0.657256\pi\) |
−0.949392 | + | 0.314095i | \(0.898299\pi\) | |||||||
\(108\) | −2.05277e6 | − | 747146.i | −1.62955 | − | 0.593109i | ||||
\(109\) | 193665. | + | 90307.6i | 0.149545 | + | 0.0697340i | 0.495950 | − | 0.868351i | \(-0.334820\pi\) |
−0.346405 | + | 0.938085i | \(0.612598\pi\) | |||||||
\(110\) | 577129.i | 0.433606i | ||||||||
\(111\) | 252662. | + | 861733.i | 0.184745 | + | 0.630092i | ||||
\(112\) | −255703. | −0.182004 | ||||||||
\(113\) | −398486. | + | 854556.i | −0.276171 | + | 0.592250i | −0.994650 | − | 0.103298i | \(-0.967061\pi\) |
0.718480 | + | 0.695548i | \(0.244838\pi\) | |||||||
\(114\) | −454797. | + | 1.24955e6i | −0.306975 | + | 0.843408i | ||||
\(115\) | 391944. | + | 467101.i | 0.257710 | + | 0.307126i | ||||
\(116\) | 277453. | − | 396243.i | 0.177752 | − | 0.253856i | ||||
\(117\) | 11839.4 | + | 11839.4i | 0.00739217 | + | 0.00739217i | ||||
\(118\) | 625844. | + | 3.54934e6i | 0.380908 | + | 2.16024i | ||||
\(119\) | −2.22167e6 | + | 595295.i | −1.31838 | + | 0.353258i | ||||
\(120\) | −821783. | − | 689558.i | −0.475569 | − | 0.399050i | ||||
\(121\) | −798769. | − | 1.38351e6i | −0.450885 | − | 0.780955i | ||||
\(122\) | 4.12105e6 | + | 2.37929e6i | 2.26949 | + | 1.31029i | ||||
\(123\) | 1.81455e6 | − | 660444.i | 0.975112 | − | 0.354912i | ||||
\(124\) | −3.09245e6 | − | 270555.i | −1.62195 | − | 0.141903i | ||||
\(125\) | 2.05016e6 | + | 549339.i | 1.04968 | + | 0.281262i | ||||
\(126\) | −1.29349e6 | − | 1.84729e6i | −0.646623 | − | 0.923473i | ||||
\(127\) | −169900. | + | 963551.i | −0.0829435 | + | 0.470396i | 0.914838 | + | 0.403821i | \(0.132318\pi\) |
−0.997781 | + | 0.0665747i | \(0.978793\pi\) | |||||||
\(128\) | −313672. | − | 3.58529e6i | −0.149571 | − | 1.70960i | ||||
\(129\) | −1.85807e6 | + | 866431.i | −0.865551 | + | 0.403613i | ||||
\(130\) | 23606.7 | + | 50624.7i | 0.0107450 | + | 0.0230427i | ||||
\(131\) | −2.94539e6 | + | 257688.i | −1.31017 | + | 0.114625i | −0.720748 | − | 0.693197i | \(-0.756202\pi\) |
−0.589426 | + | 0.807822i | \(0.700646\pi\) | |||||||
\(132\) | −784689. | − | 138362.i | −0.341174 | − | 0.0601581i | ||||
\(133\) | −1.94550e6 | + | 1.36226e6i | −0.826946 | + | 0.579034i | ||||
\(134\) | 602107. | − | 2.24710e6i | 0.250242 | − | 0.933915i | ||||
\(135\) | 186561. | − | 2.13240e6i | 0.0758261 | − | 0.866696i | ||||
\(136\) | 1.08659e6 | + | 2.98539e6i | 0.431967 | + | 1.18682i | ||||
\(137\) | −1.75087e6 | + | 3.03260e6i | −0.680915 | + | 1.17938i | 0.293787 | + | 0.955871i | \(0.405084\pi\) |
−0.974702 | + | 0.223508i | \(0.928249\pi\) | |||||||
\(138\) | −1.16214e6 | + | 670962.i | −0.442202 | + | 0.255306i | ||||
\(139\) | 2.57932e6 | − | 3.07391e6i | 0.960419 | − | 1.14458i | −0.0290125 | − | 0.999579i | \(-0.509236\pi\) |
0.989431 | − | 0.145003i | \(-0.0463193\pi\) | |||||||
\(140\) | −1.22155e6 | − | 4.55890e6i | −0.445172 | − | 1.66141i | ||||
\(141\) | 184848. | − | 32593.7i | 0.0659413 | − | 0.0116272i | ||||
\(142\) | 5.15821e6 | − | 5.15821e6i | 1.80150 | − | 1.80150i | ||||
\(143\) | 13796.9 | + | 9660.72i | 0.00471818 | + | 0.00330371i | ||||
\(144\) | −195753. | + | 164256.i | −0.0655572 | + | 0.0550090i | ||||
\(145\) | 445403. | + | 162114.i | 0.146100 | + | 0.0531759i | ||||
\(146\) | 5.26227e6 | + | 2.45384e6i | 1.69089 | + | 0.788473i | ||||
\(147\) | 967026.i | 0.304429i | ||||||||
\(148\) | 5.30291e6 | + | 1.28866e6i | 1.63579 | + | 0.397516i | ||||
\(149\) | 4.82305e6 | 1.45802 | 0.729009 | − | 0.684504i | \(-0.239981\pi\) | ||||
0.729009 | + | 0.684504i | \(0.239981\pi\) | |||||||
\(150\) | −439892. | + | 943351.i | −0.130338 | + | 0.279511i | ||||
\(151\) | −359562. | + | 987888.i | −0.104434 | + | 0.286931i | −0.980894 | − | 0.194545i | \(-0.937677\pi\) |
0.876459 | + | 0.481476i | \(0.159899\pi\) | |||||||
\(152\) | 2.10870e6 | + | 2.51305e6i | 0.600459 | + | 0.715599i | ||||
\(153\) | −1.31840e6 | + | 1.88286e6i | −0.368105 | + | 0.525708i | ||||
\(154\) | −1.60410e6 | − | 1.60410e6i | −0.439206 | − | 0.439206i | ||||
\(155\) | −528201. | − | 2.99558e6i | −0.141842 | − | 0.804425i | ||||
\(156\) | −74491.0 | + | 19959.8i | −0.0196214 | + | 0.00525754i | ||||
\(157\) | 3.75152e6 | + | 3.14790e6i | 0.969411 | + | 0.813432i | 0.982458 | − | 0.186483i | \(-0.0597088\pi\) |
−0.0130475 | + | 0.999915i | \(0.504153\pi\) | |||||||
\(158\) | −1.69808e6 | − | 2.94116e6i | −0.430514 | − | 0.745672i | ||||
\(159\) | −811103. | − | 468290.i | −0.201783 | − | 0.116499i | ||||
\(160\) | 2.83800e6 | − | 1.03295e6i | 0.692871 | − | 0.252184i | ||||
\(161\) | −2.38766e6 | − | 208893.i | −0.572131 | − | 0.0500550i | ||||
\(162\) | 723515. | + | 193865.i | 0.170178 | + | 0.0455989i | ||||
\(163\) | −4.24728e6 | − | 6.06574e6i | −0.980726 | − | 1.40062i | −0.915304 | − | 0.402764i | \(-0.868050\pi\) |
−0.0654221 | − | 0.997858i | \(-0.520839\pi\) | |||||||
\(164\) | 2.03773e6 | − | 1.15565e7i | 0.461971 | − | 2.61997i | ||||
\(165\) | −68047.5 | − | 777786.i | −0.0151482 | − | 0.173144i | ||||
\(166\) | −6.52013e6 | + | 3.04039e6i | −1.42538 | + | 0.664668i | ||||
\(167\) | −203577. | − | 436572.i | −0.0437099 | − | 0.0937361i | 0.883240 | − | 0.468921i | \(-0.155357\pi\) |
−0.926950 | + | 0.375185i | \(0.877579\pi\) | |||||||
\(168\) | 4.20068e6 | − | 367512.i | 0.885914 | − | 0.0775075i | ||||
\(169\) | −4.75187e6 | − | 837884.i | −0.984475 | − | 0.173590i | ||||
\(170\) | −6.28147e6 | + | 4.39833e6i | −1.27854 | + | 0.895244i | ||||
\(171\) | −614302. | + | 2.29261e6i | −0.122855 | + | 0.458502i | ||||
\(172\) | −1.08586e6 | + | 1.24114e7i | −0.213397 | + | 2.43914i | ||||
\(173\) | −1.61495e6 | − | 4.43703e6i | −0.311903 | − | 0.856948i | −0.992272 | − | 0.124078i | \(-0.960403\pi\) |
0.680369 | − | 0.732870i | \(-0.261820\pi\) | |||||||
\(174\) | −521565. | + | 903377.i | −0.0990058 | + | 0.171483i | ||||
\(175\) | −1.61001e6 | + | 929542.i | −0.300411 | + | 0.173442i | ||||
\(176\) | −165232. | + | 196916.i | −0.0303080 | + | 0.0361197i | ||||
\(177\) | −1.26193e6 | − | 4.70958e6i | −0.227570 | − | 0.849303i | ||||
\(178\) | −819317. | + | 144468.i | −0.145275 | + | 0.0256160i | ||||
\(179\) | 4.89629e6 | − | 4.89629e6i | 0.853706 | − | 0.853706i | −0.136881 | − | 0.990587i | \(-0.543708\pi\) |
0.990587 | + | 0.136881i | \(0.0437079\pi\) | |||||||
\(180\) | −3.86366e6 | − | 2.70536e6i | −0.662493 | − | 0.463882i | ||||
\(181\) | −6.24862e6 | + | 5.24322e6i | −1.05378 | + | 0.884224i | −0.993486 | − | 0.113957i | \(-0.963647\pi\) |
−0.0602909 | + | 0.998181i | \(0.519203\pi\) | |||||||
\(182\) | −206322. | − | 75095.0i | −0.0342240 | − | 0.0124565i | ||||
\(183\) | −5.83440e6 | − | 2.72062e6i | −0.952013 | − | 0.443931i | ||||
\(184\) | 3.31061e6i | 0.531440i | ||||||||
\(185\) | 125169. | + | 5.34594e6i | 0.0197689 | + | 0.844323i | ||||
\(186\) | 6.69422e6 | 1.04031 | ||||||||
\(187\) | −977184. | + | 2.09558e6i | −0.149435 | + | 0.320464i | ||||
\(188\) | 390128. | − | 1.07187e6i | 0.0587129 | − | 0.161312i | ||||
\(189\) | 5.40834e6 | + | 6.44540e6i | 0.801084 | + | 0.954695i | ||||
\(190\) | −4.54171e6 | + | 6.48624e6i | −0.662154 | + | 0.945653i | ||||
\(191\) | −2.80303e6 | − | 2.80303e6i | −0.402279 | − | 0.402279i | 0.476756 | − | 0.879036i | \(-0.341812\pi\) |
−0.879036 | + | 0.476756i | \(0.841812\pi\) | |||||||
\(192\) | 1.27557e6 | + | 7.23414e6i | 0.180220 | + | 1.02208i | ||||
\(193\) | 1.06162e7 | − | 2.84460e6i | 1.47671 | − | 0.395685i | 0.571487 | − | 0.820611i | \(-0.306367\pi\) |
0.905228 | + | 0.424926i | \(0.139700\pi\) | |||||||
\(194\) | −1.54429e6 | − | 1.29581e6i | −0.211506 | − | 0.177475i | ||||
\(195\) | −37783.3 | − | 65442.6i | −0.00509561 | − | 0.00882586i | ||||
\(196\) | 5.08933e6 | + | 2.93833e6i | 0.675915 | + | 0.390240i | ||||
\(197\) | 1.32389e7 | − | 4.81857e6i | 1.73163 | − | 0.630260i | 0.732881 | − | 0.680356i | \(-0.238175\pi\) |
0.998744 | + | 0.0500961i | \(0.0159528\pi\) | |||||||
\(198\) | −2.25843e6 | − | 197587.i | −0.290946 | − | 0.0254544i | ||||
\(199\) | −7.81756e6 | − | 2.09471e6i | −0.992001 | − | 0.265806i | −0.273910 | − | 0.961755i | \(-0.588317\pi\) |
−0.718091 | + | 0.695949i | \(0.754984\pi\) | |||||||
\(200\) | 1.47289e6 | + | 2.10350e6i | 0.184111 | + | 0.262937i | ||||
\(201\) | −546501. | + | 3.09936e6i | −0.0672981 | + | 0.381667i | ||||
\(202\) | 1.24029e6 | + | 1.41766e7i | 0.150476 | + | 1.71995i | ||||
\(203\) | −1.68856e6 | + | 787387.i | −0.201849 | + | 0.0941239i | ||||
\(204\) | −4.47423e6 | − | 9.59502e6i | −0.527021 | − | 1.13020i | ||||
\(205\) | 1.14549e7 | − | 1.00217e6i | 1.32962 | − | 0.116327i | ||||
\(206\) | 1.45614e7 | + | 2.56758e6i | 1.66572 | + | 0.293712i | ||||
\(207\) | −1.96206e6 | + | 1.37385e6i | −0.221208 | + | 0.154891i | ||||
\(208\) | −6439.29 | + | 24031.8i | −0.000715563 | + | 0.00267052i | ||||
\(209\) | −208092. | + | 2.37850e6i | −0.0227938 | + | 0.260534i | ||||
\(210\) | 3.48104e6 | + | 9.56407e6i | 0.375881 | + | 1.03273i | ||||
\(211\) | 4.16297e6 | − | 7.21048e6i | 0.443156 | − | 0.767568i | −0.554766 | − | 0.832006i | \(-0.687192\pi\) |
0.997922 | + | 0.0644382i | \(0.0205255\pi\) | |||||||
\(212\) | −4.92910e6 | + | 2.84582e6i | −0.517321 | + | 0.298675i | ||||
\(213\) | −6.34344e6 | + | 7.55981e6i | −0.656426 | + | 0.782298i | ||||
\(214\) | −7.72159e6 | − | 2.88174e7i | −0.787890 | − | 2.94044i | ||||
\(215\) | −1.20226e7 | + | 2.11991e6i | −1.20972 | + | 0.213306i | ||||
\(216\) | 8.21789e6 | − | 8.21789e6i | 0.815453 | − | 0.815453i | ||||
\(217\) | 9.79413e6 | + | 6.85792e6i | 0.958488 | + | 0.671141i | ||||
\(218\) | −2.14517e6 | + | 1.80002e6i | −0.207059 | + | 0.173743i | ||||
\(219\) | −7.38119e6 | − | 2.68653e6i | −0.702739 | − | 0.255776i | ||||
\(220\) | −4.30015e6 | − | 2.00519e6i | −0.403846 | − | 0.188316i | ||||
\(221\) | 223791.i | 0.0207332i | ||||||||
\(222\) | −1.16342e7 | − | 1.77170e6i | −1.06335 | − | 0.161932i | ||||
\(223\) | 1.69828e7 | 1.53142 | 0.765710 | − | 0.643186i | \(-0.222388\pi\) | ||||
0.765710 | + | 0.643186i | \(0.222388\pi\) | |||||||
\(224\) | −5.01703e6 | + | 1.07591e7i | −0.446378 | + | 0.957261i | ||||
\(225\) | −635431. | + | 1.74583e6i | −0.0557855 | + | 0.153269i | ||||
\(226\) | −7.94264e6 | − | 9.46568e6i | −0.688081 | − | 0.820023i | ||||
\(227\) | 2.50665e6 | − | 3.57987e6i | 0.214297 | − | 0.306048i | −0.697583 | − | 0.716504i | \(-0.745741\pi\) |
0.911881 | + | 0.410455i | \(0.134630\pi\) | |||||||
\(228\) | −7.73012e6 | − | 7.73012e6i | −0.652202 | − | 0.652202i | ||||
\(229\) | −2.20092e6 | − | 1.24820e7i | −0.183273 | − | 1.03939i | −0.928155 | − | 0.372194i | \(-0.878605\pi\) |
0.744882 | − | 0.667196i | \(-0.232506\pi\) | |||||||
\(230\) | −7.71851e6 | + | 2.06817e6i | −0.634380 | + | 0.169982i | ||||
\(231\) | 2.35094e6 | + | 1.97268e6i | 0.190724 | + | 0.160037i | ||||
\(232\) | 1.28673e6 | + | 2.22869e6i | 0.103045 | + | 0.178478i | ||||
\(233\) | 1.57664e7 | + | 9.10273e6i | 1.24642 | + | 0.719621i | 0.970394 | − | 0.241529i | \(-0.0776490\pi\) |
0.276026 | + | 0.961150i | \(0.410982\pi\) | |||||||
\(234\) | −206188. | + | 75046.3i | −0.0160922 | + | 0.00585709i | ||||
\(235\) | 1.11345e6 | + | 97414.0i | 0.0857958 | + | 0.00750616i | ||||
\(236\) | −2.86203e7 | − | 7.66879e6i | −2.17740 | − | 0.583433i | ||||
\(237\) | 2.63526e6 | + | 3.76353e6i | 0.197960 | + | 0.282716i | ||||
\(238\) | 5.23407e6 | − | 2.96839e7i | 0.388247 | − | 2.20186i | ||||
\(239\) | −535395. | − | 6.11959e6i | −0.0392175 | − | 0.448258i | −0.990263 | − | 0.139208i | \(-0.955544\pi\) |
0.951046 | − | 0.309050i | \(-0.100011\pi\) | |||||||
\(240\) | 1.04524e6 | − | 487402.i | 0.0756104 | − | 0.0352577i | ||||
\(241\) | −217748. | − | 466962.i | −0.0155562 | − | 0.0333603i | 0.898376 | − | 0.439227i | \(-0.144748\pi\) |
−0.913932 | + | 0.405867i | \(0.866970\pi\) | |||||||
\(242\) | 2.08559e7 | − | 1.82465e6i | 1.47158 | − | 0.128746i | ||||
\(243\) | 1.35588e7 | + | 2.39079e6i | 0.944939 | + | 0.166618i | ||||
\(244\) | −3.20462e7 | + | 2.24390e7i | −2.20601 | + | 1.54466i | ||||
\(245\) | −1.49038e6 | + | 5.56216e6i | −0.101344 | + | 0.378221i | ||||
\(246\) | −2.20553e6 | + | 2.52093e7i | −0.148152 | + | 1.69339i | ||||
\(247\) | 79036.1 | + | 217150.i | 0.00524487 | + | 0.0144102i | ||||
\(248\) | 8.25754e6 | − | 1.43025e7i | 0.541372 | − | 0.937683i | ||||
\(249\) | 8.42858e6 | − | 4.86624e6i | 0.545954 | − | 0.315207i | ||||
\(250\) | −1.78791e7 | + | 2.13074e7i | −1.14426 | + | 1.36368i | ||||
\(251\) | 1.14462e6 | + | 4.27179e6i | 0.0723838 | + | 0.270140i | 0.992627 | − | 0.121206i | \(-0.0386762\pi\) |
−0.920244 | + | 0.391346i | \(0.872010\pi\) | |||||||
\(252\) | 1.82582e7 | − | 3.21941e6i | 1.14092 | − | 0.201175i | ||||
\(253\) | −1.70375e6 | + | 1.70375e6i | −0.105207 | + | 0.105207i | ||||
\(254\) | −1.05032e7 | − | 7.35440e6i | −0.640943 | − | 0.448793i | ||||
\(255\) | 7.94683e6 | − | 6.66818e6i | 0.479262 | − | 0.402149i | ||||
\(256\) | 1.94012e7 | + | 7.06148e6i | 1.15640 | + | 0.420897i | ||||
\(257\) | 5.04881e6 | + | 2.35430e6i | 0.297433 | + | 0.138695i | 0.565606 | − | 0.824675i | \(-0.308642\pi\) |
−0.268173 | + | 0.963371i | \(0.586420\pi\) | |||||||
\(258\) | − | 2.68670e7i | − | 1.56444i | ||||||
\(259\) | −1.52066e7 | − | 1.45108e7i | −0.875252 | − | 0.835204i | ||||
\(260\) | −459221. | −0.0261277 | ||||||||
\(261\) | −786876. | + | 1.68746e6i | −0.0442573 | + | 0.0949100i | ||||
\(262\) | 1.32521e7 | − | 3.64097e7i | 0.736850 | − | 2.02448i | ||||
\(263\) | 1.14793e7 | + | 1.36805e7i | 0.631025 | + | 0.752027i | 0.982924 | − | 0.184011i | \(-0.0589083\pi\) |
−0.351899 | + | 0.936038i | \(0.614464\pi\) | |||||||
\(264\) | 2.43141e6 | − | 3.47242e6i | 0.132144 | − | 0.188721i | ||||
\(265\) | −3.94359e6 | − | 3.94359e6i | −0.211911 | − | 0.211911i | ||||
\(266\) | −5.40469e6 | − | 3.06515e7i | −0.287161 | − | 1.62857i | ||||
\(267\) | 1.08715e6 | − | 291300.i | 0.0571155 | − | 0.0153040i | ||||
\(268\) | 1.46510e7 | + | 1.22936e7i | 0.761136 | + | 0.638669i | ||||
\(269\) | 8.50931e6 | + | 1.47386e7i | 0.437157 | + | 0.757178i | 0.997469 | − | 0.0711034i | \(-0.0226520\pi\) |
−0.560312 | + | 0.828282i | \(0.689319\pi\) | |||||||
\(270\) | 2.42933e7 | + | 1.40258e7i | 1.23423 | + | 0.712583i | ||||
\(271\) | −2.44588e7 | + | 8.90229e6i | −1.22893 | + | 0.447295i | −0.873232 | − | 0.487305i | \(-0.837980\pi\) |
−0.355701 | + | 0.934600i | \(0.615758\pi\) | |||||||
\(272\) | −3.40248e6 | − | 297679.i | −0.169079 | − | 0.0147925i | ||||
\(273\) | 286910. | + | 76877.4i | 0.0141013 | + | 0.00377842i | ||||
\(274\) | −2.63214e7 | − | 3.75908e7i | −1.27955 | − | 1.82739i | ||||
\(275\) | −324535. | + | 1.84053e6i | −0.0156050 | + | 0.0885002i | ||||
\(276\) | −961521. | − | 1.09902e7i | −0.0457332 | − | 0.522733i | ||||
\(277\) | 9.65677e6 | − | 4.50302e6i | 0.454352 | − | 0.211868i | −0.181950 | − | 0.983308i | \(-0.558241\pi\) |
0.636302 | + | 0.771440i | \(0.280463\pi\) | |||||||
\(278\) | 2.22238e7 | + | 4.76591e7i | 1.03439 | + | 2.21826i | ||||
\(279\) | 1.19032e7 | − | 1.04140e6i | 0.548089 | − | 0.0479516i | ||||
\(280\) | 2.47280e7 | + | 4.36021e6i | 1.12646 | + | 0.198625i | ||||
\(281\) | −2.23804e7 | + | 1.56709e7i | −1.00867 | + | 0.706278i | −0.956311 | − | 0.292350i | \(-0.905563\pi\) |
−0.0523584 | + | 0.998628i | \(0.516674\pi\) | |||||||
\(282\) | −636638. | + | 2.37596e6i | −0.0283887 | + | 0.105948i | ||||
\(283\) | −267195. | + | 3.05405e6i | −0.0117888 | + | 0.134746i | −0.999808 | − | 0.0195830i | \(-0.993766\pi\) |
0.988019 | + | 0.154329i | \(0.0493217\pi\) | |||||||
\(284\) | 2.05117e7 | + | 5.63553e7i | 0.895459 | + | 2.46025i | ||||
\(285\) | 5.35601e6 | − | 9.27688e6i | 0.231370 | − | 0.400744i | ||||
\(286\) | −191153. | + | 110362.i | −0.00817116 | + | 0.00471762i | ||||
\(287\) | −2.90526e7 | + | 3.46236e7i | −1.22897 | + | 1.46463i | ||||
\(288\) | 3.07053e6 | + | 1.14594e7i | 0.128539 | + | 0.479715i | ||||
\(289\) | −6.48459e6 | + | 1.14341e6i | −0.268651 | + | 0.0473705i | ||||
\(290\) | −4.39223e6 | + | 4.39223e6i | −0.180091 | + | 0.180091i | ||||
\(291\) | 2.23400e6 | + | 1.56426e6i | 0.0906575 | + | 0.0634790i | ||||
\(292\) | −3.65667e7 | + | 3.06831e7i | −1.46872 | + | 1.23240i | ||||
\(293\) | −3.24679e6 | − | 1.18174e6i | −0.129078 | − | 0.0469805i | 0.276674 | − | 0.960964i | \(-0.410768\pi\) |
−0.405751 | + | 0.913983i | \(0.632990\pi\) | |||||||
\(294\) | −1.14854e7 | − | 5.35574e6i | −0.451965 | − | 0.210755i | ||||
\(295\) | − | 2.90336e7i | − | 1.13093i | ||||||
\(296\) | −1.81364e7 | + | 2.26714e7i | −0.699322 | + | 0.874186i | ||||
\(297\) | 8.45840e6 | 0.322863 | ||||||||
\(298\) | −2.67118e7 | + | 5.72836e7i | −1.00938 | + | 2.16462i | ||||
\(299\) | −79760.3 | + | 219140.i | −0.00298382 | + | 0.00819799i | ||||
\(300\) | −5.50047e6 | − | 6.55521e6i | −0.203721 | − | 0.242786i | ||||
\(301\) | 2.75240e7 | − | 3.93083e7i | 1.00928 | − | 1.44140i | ||||
\(302\) | −9.74181e6 | − | 9.74181e6i | −0.353687 | − | 0.353687i | ||||
\(303\) | −3.34303e6 | − | 1.89592e7i | −0.120174 | − | 0.681543i | ||||
\(304\) | −3.40664e6 | + | 912807.i | −0.121257 | + | 0.0324907i | ||||
\(305\) | −2.93654e7 | − | 2.46405e7i | −1.03499 | − | 0.868461i | ||||
\(306\) | −1.50611e7 | − | 2.60866e7i | −0.525646 | − | 0.910445i | ||||
\(307\) | −3.54958e7 | − | 2.04935e7i | −1.22677 | − | 0.708275i | −0.260415 | − | 0.965497i | \(-0.583859\pi\) |
−0.966352 | + | 0.257222i | \(0.917193\pi\) | |||||||
\(308\) | 1.75253e7 | − | 6.37869e6i | 0.599810 | − | 0.218313i | ||||
\(309\) | −1.99269e7 | − | 1.74338e6i | −0.675406 | − | 0.0590904i | ||||
\(310\) | 3.85040e7 | + | 1.03171e7i | 1.29247 | + | 0.346316i | ||||
\(311\) | −3.25981e7 | − | 4.65550e7i | −1.08371 | − | 1.54769i | −0.810501 | − | 0.585738i | \(-0.800805\pi\) |
−0.273206 | − | 0.961956i | \(-0.588084\pi\) | |||||||
\(312\) | 71244.6 | − | 404048.i | 0.00234578 | − | 0.0133036i | ||||
\(313\) | −2.44247e6 | − | 2.79175e7i | −0.0796519 | − | 0.910425i | −0.925933 | − | 0.377688i | \(-0.876719\pi\) |
0.846281 | − | 0.532737i | \(-0.178836\pi\) | |||||||
\(314\) | −5.81650e7 | + | 2.71228e7i | −1.87877 | + | 0.876083i | ||||
\(315\) | 7.67758e6 | + | 1.64646e7i | 0.245636 | + | 0.526769i | ||||
\(316\) | 2.78143e7 | − | 2.43343e6i | 0.881467 | − | 0.0771184i | ||||
\(317\) | 1.21485e7 | + | 2.14212e6i | 0.381370 | + | 0.0672458i | 0.361047 | − | 0.932548i | \(-0.382419\pi\) |
0.0203231 | + | 0.999793i | \(0.493531\pi\) | |||||||
\(318\) | 1.00541e7 | − | 7.03995e6i | 0.312652 | − | 0.218921i | ||||
\(319\) | −484761. | + | 1.80915e6i | −0.0149333 | + | 0.0557318i | ||||
\(320\) | −3.81235e6 | + | 4.35754e7i | −0.116344 | + | 1.32982i | ||||
\(321\) | 1.38040e7 | + | 3.79262e7i | 0.417340 | + | 1.14663i | ||||
\(322\) | 1.57048e7 | − | 2.72015e7i | 0.470397 | − | 0.814751i | ||||
\(323\) | −2.74735e7 | + | 1.58618e7i | −0.815280 | + | 0.470702i | ||||
\(324\) | −3.95828e6 | + | 4.71729e6i | −0.116378 | + | 0.138694i | ||||
\(325\) | 46816.8 | + | 174723.i | 0.00136380 | + | 0.00508978i | ||||
\(326\) | 9.55660e7 | − | 1.68509e7i | 2.75836 | − | 0.486373i | ||||
\(327\) | 2.67878e6 | − | 2.67878e6i | 0.0766114 | − | 0.0766114i | ||||
\(328\) | 5.11401e7 | + | 3.58087e7i | 1.44924 | + | 1.01477i | ||||
\(329\) | −3.36551e6 | + | 2.82400e6i | −0.0945069 | + | 0.0793007i | ||||
\(330\) | 9.61468e6 | + | 3.49946e6i | 0.267543 | + | 0.0973775i | ||||
\(331\) | 6.61100e6 | + | 3.08276e6i | 0.182298 | + | 0.0850072i | 0.511625 | − | 0.859209i | \(-0.329044\pi\) |
−0.329326 | + | 0.944216i | \(0.606822\pi\) | |||||||
\(332\) | − | 5.91447e7i | − | 1.61622i | ||||||
\(333\) | −2.09627e7 | − | 1.34043e6i | −0.567695 | − | 0.0363005i | ||||
\(334\) | 6.31267e6 | 0.169424 | ||||||||
\(335\) | −7.92011e6 | + | 1.69847e7i | −0.210667 | + | 0.451777i | ||||
\(336\) | −1.55047e6 | + | 4.25988e6i | −0.0408738 | + | 0.112300i | ||||
\(337\) | 2.76183e7 | + | 3.29142e7i | 0.721618 | + | 0.859991i | 0.994787 | − | 0.101975i | \(-0.0325163\pi\) |
−0.273169 | + | 0.961966i | \(0.588072\pi\) | |||||||
\(338\) | 3.62692e7 | − | 5.17977e7i | 0.939264 | − | 1.34141i | ||||
\(339\) | 1.18202e7 | + | 1.18202e7i | 0.303408 | + | 0.303408i | ||||
\(340\) | −1.09472e7 | − | 6.20845e7i | −0.278526 | − | 1.57960i | ||||
\(341\) | 1.16101e7 | − | 3.11093e6i | 0.292802 | − | 0.0784561i | ||||
\(342\) | −2.38272e7 | − | 1.99934e7i | −0.595654 | − | 0.499813i | ||||
\(343\) | 1.30927e7 | + | 2.26773e7i | 0.324451 | + | 0.561965i | ||||
\(344\) | −5.74024e7 | − | 3.31413e7i | −1.41011 | − | 0.814130i | ||||
\(345\) | 1.01582e7 | − | 3.69730e6i | 0.247378 | − | 0.0900382i | ||||
\(346\) | 6.16430e7 | + | 5.39307e6i | 1.48818 | + | 0.130199i | ||||
\(347\) | −4.65083e7 | − | 1.24619e7i | −1.11312 | − | 0.298260i | −0.345024 | − | 0.938594i | \(-0.612129\pi\) |
−0.768097 | + | 0.640334i | \(0.778796\pi\) | |||||||
\(348\) | −4.91886e6 | − | 7.02487e6i | −0.116715 | − | 0.166686i | ||||
\(349\) | 478564. | − | 2.71407e6i | 0.0112581 | − | 0.0638477i | −0.978661 | − | 0.205481i | \(-0.934124\pi\) |
0.989919 | + | 0.141633i | \(0.0452353\pi\) | |||||||
\(350\) | −2.12338e6 | − | 2.42703e7i | −0.0495249 | − | 0.566072i | ||||
\(351\) | 741956. | − | 345980.i | 0.0171576 | − | 0.00800072i | ||||
\(352\) | 5.04358e6 | + | 1.08160e7i | 0.115641 | + | 0.247992i | ||||
\(353\) | 1.56726e7 | − | 1.37118e6i | 0.356302 | − | 0.0311724i | 0.0924000 | − | 0.995722i | \(-0.470546\pi\) |
0.263902 | + | 0.964550i | \(0.414991\pi\) | |||||||
\(354\) | 6.29250e7 | + | 1.10954e7i | 1.41845 | + | 0.250111i | ||||
\(355\) | −4.81375e7 | + | 3.37062e7i | −1.07597 | + | 0.753399i | ||||
\(356\) | 1.77024e6 | − | 6.60662e6i | 0.0392358 | − | 0.146430i | ||||
\(357\) | −3.55393e6 | + | 4.06215e7i | −0.0781095 | + | 0.892795i | ||||
\(358\) | 3.10361e7 | + | 8.52710e7i | 0.676422 | + | 1.85845i | ||||
\(359\) | 1.25154e7 | − | 2.16773e7i | 0.270496 | − | 0.468513i | −0.698493 | − | 0.715617i | \(-0.746146\pi\) |
0.968989 | + | 0.247104i | \(0.0794790\pi\) | |||||||
\(360\) | 2.17313e7 | − | 1.25466e7i | 0.465777 | − | 0.268917i | ||||
\(361\) | 9.18419e6 | − | 1.09453e7i | 0.195218 | − | 0.232651i | ||||
\(362\) | −2.76668e7 | − | 1.03254e8i | −0.583222 | − | 2.17661i | ||||
\(363\) | −2.78920e7 | + | 4.91810e6i | −0.583121 | + | 0.102820i | ||||
\(364\) | 1.27638e6 | − | 1.27638e6i | 0.0264652 | − | 0.0264652i | ||||
\(365\) | −3.83148e7 | − | 2.68283e7i | −0.787931 | − | 0.551715i | ||||
\(366\) | 6.46260e7 | − | 5.42276e7i | 1.31815 | − | 1.10606i | ||||
\(367\) | 3.80341e7 | + | 1.38433e7i | 0.769440 | + | 0.280053i | 0.696762 | − | 0.717302i | \(-0.254623\pi\) |
0.0726776 | + | 0.997355i | \(0.476846\pi\) | |||||||
\(368\) | −3.22567e6 | − | 1.50415e6i | −0.0647257 | − | 0.0301821i | ||||
\(369\) | 4.51686e7i | 0.898995i | ||||||||
\(370\) | −6.41872e7 | − | 2.81211e7i | −1.26719 | − | 0.555171i | ||||
\(371\) | 2.19220e7 | 0.429297 | ||||||||
\(372\) | −2.32586e7 | + | 4.98782e7i | −0.451809 | + | 0.968907i | ||||
\(373\) | 1.61488e7 | − | 4.43683e7i | 0.311181 | − | 0.854962i | −0.681238 | − | 0.732062i | \(-0.738558\pi\) |
0.992419 | − | 0.122900i | \(-0.0392195\pi\) | |||||||
\(374\) | −1.94773e7 | − | 2.32121e7i | −0.372318 | − | 0.443711i | ||||
\(375\) | 2.15830e7 | − | 3.08237e7i | 0.409277 | − | 0.584509i | ||||
\(376\) | 4.29103e6 | + | 4.29103e6i | 0.0807231 | + | 0.0807231i | ||||
\(377\) | 31478.7 | + | 178524.i | 0.000587479 | + | 0.00333176i | ||||
\(378\) | −1.06506e8 | + | 2.85381e7i | −1.97196 | + | 0.528384i | ||||
\(379\) | 1.65853e7 | + | 1.39167e7i | 0.304652 | + | 0.255634i | 0.782278 | − | 0.622930i | \(-0.214058\pi\) |
−0.477625 | + | 0.878564i | \(0.658502\pi\) | |||||||
\(380\) | −3.25487e7 | − | 5.63759e7i | −0.593174 | − | 1.02741i | ||||
\(381\) | 1.50221e7 | + | 8.67300e6i | 0.271616 | + | 0.156817i | ||||
\(382\) | 4.88159e7 | − | 1.77675e7i | 0.875733 | − | 0.318741i | ||||
\(383\) | −3.54576e7 | − | 3.10214e6i | −0.631121 | − | 0.0552159i | −0.232893 | − | 0.972502i | \(-0.574819\pi\) |
−0.398228 | + | 0.917286i | \(0.630375\pi\) | |||||||
\(384\) | −6.16311e7 | − | 1.65140e7i | −1.08844 | − | 0.291648i | ||||
\(385\) | 1.04819e7 | + | 1.49698e7i | 0.183679 | + | 0.262321i | ||||
\(386\) | −2.50108e7 | + | 1.41843e8i | −0.434877 | + | 2.46631i | ||||
\(387\) | −4.17960e6 | − | 4.77730e7i | −0.0721110 | − | 0.824232i | ||||
\(388\) | 1.50205e7 | − | 7.00419e6i | 0.257152 | − | 0.119912i | ||||
\(389\) | 9.65263e6 | + | 2.07001e7i | 0.163982 | + | 0.351661i | 0.971079 | − | 0.238758i | \(-0.0767403\pi\) |
−0.807097 | + | 0.590419i | \(0.798962\pi\) | |||||||
\(390\) | 986523. | − | 86309.6i | 0.0166308 | − | 0.00145501i | ||||
\(391\) | −3.15280e7 | − | 5.55924e6i | −0.527432 | − | 0.0930004i | ||||
\(392\) | −2.56104e7 | + | 1.79326e7i | −0.425165 | + | 0.297704i | ||||
\(393\) | −1.35666e7 | + | 5.06312e7i | −0.223508 | + | 0.834144i | ||||
\(394\) | −1.60915e7 | + | 1.83926e8i | −0.263092 | + | 3.00715i | ||||
\(395\) | 9.35718e6 | + | 2.57086e7i | 0.151829 | + | 0.417146i | ||||
\(396\) | 9.31898e6 | − | 1.61409e7i | 0.150066 | − | 0.259922i | ||||
\(397\) | −7.46057e7 | + | 4.30736e7i | −1.19234 | + | 0.688398i | −0.958837 | − | 0.283957i | \(-0.908353\pi\) |
−0.233504 | + | 0.972356i | \(0.575019\pi\) | |||||||
\(398\) | 6.81754e7 | − | 8.12483e7i | 1.08138 | − | 1.28874i | ||||
\(399\) | 1.08978e7 | + | 4.06712e7i | 0.171562 | + | 0.640278i | ||||
\(400\) | −2.71873e6 | + | 479385.i | −0.0424801 | + | 0.00749039i | ||||
\(401\) | 1.96705e7 | − | 1.96705e7i | 0.305058 | − | 0.305058i | −0.537931 | − | 0.842989i | \(-0.680794\pi\) |
0.842989 | + | 0.537931i | \(0.180794\pi\) | |||||||
\(402\) | −3.37846e7 | − | 2.36562e7i | −0.520044 | − | 0.364139i | ||||
\(403\) | 891172. | − | 747782.i | 0.0136159 | − | 0.0114251i | ||||
\(404\) | −1.09938e8 | − | 4.00141e7i | −1.66726 | − | 0.606833i | ||||
\(405\) | −5.46870e6 | − | 2.55010e6i | −0.0823226 | − | 0.0383877i | ||||
\(406\) | − | 2.44159e7i | − | 0.364833i | ||||||
\(407\) | −2.10011e7 | + | 2.33386e6i | −0.311500 | + | 0.0346171i | ||||
\(408\) | 5.63237e7 | 0.829298 | ||||||||
\(409\) | 4.25572e7 | − | 9.12641e7i | 0.622018 | − | 1.33392i | −0.302634 | − | 0.953107i | \(-0.597866\pi\) |
0.924652 | − | 0.380814i | \(-0.124356\pi\) | |||||||
\(410\) | −5.15384e7 | + | 1.41600e8i | −0.747789 | + | 2.05453i | ||||
\(411\) | 3.99051e7 | + | 4.75570e7i | 0.574781 | + | 0.684997i | ||||
\(412\) | −6.97235e7 | + | 9.95755e7i | −0.996983 | + | 1.42384i | ||||
\(413\) | 8.06971e7 | + | 8.06971e7i | 1.14553 | + | 1.14553i | ||||
\(414\) | −5.45067e6 | − | 3.09123e7i | −0.0768155 | − | 0.435643i | ||||
\(415\) | 5.59795e7 | − | 1.49997e7i | 0.783222 | − | 0.209864i | ||||
\(416\) | 884828. | + | 742459.i | 0.0122908 | + | 0.0103132i | ||||
\(417\) | −3.55700e7 | − | 6.16090e7i | −0.490541 | − | 0.849642i | ||||
\(418\) | −2.70971e7 | − | 1.56445e7i | −0.371017 | − | 0.214207i | ||||
\(419\) | −1.73819e6 | + | 632650.i | −0.0236296 | + | 0.00860046i | −0.353808 | − | 0.935318i | \(-0.615113\pi\) |
0.330178 | + | 0.943919i | \(0.392891\pi\) | |||||||
\(420\) | −8.33559e7 | − | 7.29269e6i | −1.12509 | − | 0.0984328i | ||||
\(421\) | 4.92858e7 | + | 1.32061e7i | 0.660504 | + | 0.176982i | 0.573474 | − | 0.819224i | \(-0.305596\pi\) |
0.0870307 | + | 0.996206i | \(0.472262\pi\) | |||||||
\(422\) | 6.25832e7 | + | 8.93781e7i | 0.832761 | + | 1.18931i | ||||
\(423\) | −762405. | + | 4.32381e6i | −0.0100731 | + | 0.0571276i | ||||
\(424\) | −2.63909e6 | − | 3.01650e7i | −0.0346224 | − | 0.395736i | ||||
\(425\) | −2.25056e7 | + | 1.04945e7i | −0.293173 | + | 0.136709i | ||||
\(426\) | −5.46560e7 | − | 1.17210e8i | −0.706984 | − | 1.51613i | ||||
\(427\) | 1.50106e8 | − | 1.31326e7i | 1.92804 | − | 0.168681i | ||||
\(428\) | 2.41544e8 | + | 4.25908e7i | 3.08082 | + | 0.543231i | ||||
\(429\) | 244601. | − | 171272.i | 0.00309804 | − | 0.00216927i | ||||
\(430\) | 4.14073e7 | − | 1.54534e8i | 0.520801 | − | 1.94365i | ||||
\(431\) | 1.12975e7 | − | 1.29131e8i | 0.141108 | − | 1.61287i | −0.514311 | − | 0.857604i | \(-0.671952\pi\) |
0.655419 | − | 0.755266i | \(-0.272492\pi\) | |||||||
\(432\) | 4.27330e6 | + | 1.17408e7i | 0.0530044 | + | 0.145628i | ||||
\(433\) | −5.79358e7 | + | 1.00348e8i | −0.713647 | + | 1.23607i | 0.249832 | + | 0.968289i | \(0.419625\pi\) |
−0.963479 | + | 0.267784i | \(0.913709\pi\) | |||||||
\(434\) | −1.35695e8 | + | 7.83437e7i | −1.65995 | + | 0.958374i | ||||
\(435\) | 5.40146e6 | − | 6.43721e6i | 0.0656211 | − | 0.0782041i | ||||
\(436\) | −5.95854e6 | − | 2.22376e7i | −0.0718920 | − | 0.268305i | ||||
\(437\) | −3.25558e7 | + | 5.74046e6i | −0.390107 | + | 0.0687863i | ||||
\(438\) | 7.27877e7 | − | 7.27877e7i | 0.866235 | − | 0.866235i | ||||
\(439\) | 2.99194e7 | + | 2.09498e7i | 0.353639 | + | 0.247621i | 0.736874 | − | 0.676030i | \(-0.236301\pi\) |
−0.383235 | + | 0.923651i | \(0.625190\pi\) | |||||||
\(440\) | 1.93367e7 | − | 1.62254e7i | 0.227000 | − | 0.190475i | ||||
\(441\) | −2.12557e7 | − | 7.73646e6i | −0.247834 | − | 0.0902041i | ||||
\(442\) | −2.65798e6 | − | 1.23943e6i | −0.0307811 | − | 0.0143535i | ||||
\(443\) | 1.42392e7i | 0.163785i | 0.996641 | + | 0.0818925i | \(0.0260964\pi\) | ||||
−0.996641 | + | 0.0818925i | \(0.973904\pi\) | |||||||
\(444\) | 5.36230e7 | − | 8.05298e7i | 0.612635 | − | 0.920043i | ||||
\(445\) | 6.70202e6 | 0.0760546 | ||||||||
\(446\) | −9.40567e7 | + | 2.01705e8i | −1.06019 | + | 2.27359i | ||||
\(447\) | 2.92448e7 | − | 8.03496e7i | 0.327436 | − | 0.899624i | ||||
\(448\) | −1.10519e8 | − | 1.31711e8i | −1.22914 | − | 1.46484i | ||||
\(449\) | −5.19095e7 | + | 7.41345e7i | −0.573466 | + | 0.818995i | −0.996185 | − | 0.0872660i | \(-0.972187\pi\) |
0.422719 | + | 0.906261i | \(0.361076\pi\) | |||||||
\(450\) | −1.72161e7 | − | 1.72161e7i | −0.188928 | − | 0.188928i | ||||
\(451\) | 7.89006e6 | + | 4.47468e7i | 0.0860104 | + | 0.487789i | ||||
\(452\) | 9.81243e7 | − | 2.62923e7i | 1.06258 | − | 0.284717i | ||||
\(453\) | 1.42775e7 | + | 1.19802e7i | 0.153588 | + | 0.128876i | ||||
\(454\) | 2.86356e7 | + | 4.95982e7i | 0.306012 | + | 0.530028i | ||||
\(455\) | 1.53177e6 | + | 884371.i | 0.0162615 | + | 0.00938858i | ||||
\(456\) | 5.46523e7 | − | 1.98918e7i | 0.576387 | − | 0.209788i | ||||
\(457\) | −7.84524e7 | − | 6.86370e6i | −0.821974 | − | 0.0719134i | −0.331594 | − | 0.943422i | \(-0.607586\pi\) |
−0.490380 | + | 0.871509i | \(0.663142\pi\) | |||||||
\(458\) | 1.60439e8 | + | 4.29895e7i | 1.66999 | + | 0.447472i | ||||
\(459\) | 6.44620e7 | + | 9.20612e7i | 0.666600 | + | 0.952004i | ||||
\(460\) | 1.14076e7 | − | 6.46958e7i | 0.117198 | − | 0.664664i | ||||
\(461\) | −1.43603e7 | − | 1.64139e8i | −0.146575 | − | 1.67536i | −0.612450 | − | 0.790509i | \(-0.709816\pi\) |
0.465876 | − | 0.884850i | \(-0.345739\pi\) | |||||||
\(462\) | −3.64499e7 | + | 1.69969e7i | −0.369633 | + | 0.172363i | ||||
\(463\) | −2.82665e7 | − | 6.06178e7i | −0.284793 | − | 0.610741i | 0.710916 | − | 0.703277i | \(-0.248281\pi\) |
−0.995709 | + | 0.0925357i | \(0.970503\pi\) | |||||||
\(464\) | −2.75613e6 | + | 241130.i | −0.0275896 | + | 0.00241378i | ||||
\(465\) | −5.31076e7 | − | 9.36430e6i | −0.528199 | − | 0.0931358i | ||||
\(466\) | −1.95433e8 | + | 1.36844e8i | −1.93126 | + | 1.35228i | ||||
\(467\) | 1.23081e7 | − | 4.59345e7i | 0.120848 | − | 0.451013i | −0.878809 | − | 0.477173i | \(-0.841661\pi\) |
0.999658 | + | 0.0261606i | \(0.00832813\pi\) | |||||||
\(468\) | 157220. | − | 1.79704e6i | 0.00153381 | − | 0.0175315i | ||||
\(469\) | −2.51946e7 | − | 6.92215e7i | −0.244224 | − | 0.671000i | ||||
\(470\) | −7.32366e6 | + | 1.26849e7i | −0.0705398 | + | 0.122179i | ||||
\(471\) | 7.51899e7 | − | 4.34109e7i | 0.719609 | − | 0.415467i | ||||
\(472\) | 1.01326e8 | − | 1.20755e8i | 0.963593 | − | 1.14836i | ||||
\(473\) | −1.24856e7 | − | 4.65968e7i | −0.117984 | − | 0.440324i | ||||
\(474\) | −5.92947e7 | + | 1.04553e7i | −0.556776 | + | 0.0981747i | ||||
\(475\) | −1.81314e7 | + | 1.81314e7i | −0.169181 | + | 0.169181i | ||||
\(476\) | 2.02987e8 | + | 1.42133e8i | 1.88212 | + | 1.31788i | ||||
\(477\) | 1.67823e7 | − | 1.40820e7i | 0.154631 | − | 0.129751i | ||||
\(478\) | 7.56479e7 | + | 2.75336e7i | 0.692649 | + | 0.252103i | ||||
\(479\) | −3.98835e7 | − | 1.85980e7i | −0.362900 | − | 0.169223i | 0.232612 | − | 0.972570i | \(-0.425273\pi\) |
−0.595512 | + | 0.803347i | \(0.703051\pi\) | |||||||
\(480\) | − | 5.35430e7i | − | 0.484149i | ||||||
\(481\) | −1.74672e6 | + | 1.06374e6i | −0.0156959 | + | 0.00955877i | ||||
\(482\) | 6.75209e6 | 0.0602972 | ||||||||
\(483\) | −1.79578e7 | + | 3.85106e7i | −0.159372 | + | 0.341774i | ||||
\(484\) | −5.88669e7 | + | 1.61735e8i | −0.519200 | + | 1.42649i | ||||
\(485\) | 1.04387e7 | + | 1.24404e7i | 0.0915002 | + | 0.109046i | ||||
\(486\) | −1.03489e8 | + | 1.47798e8i | −0.901543 | + | 1.28754i | ||||
\(487\) | −1.18453e8 | − | 1.18453e8i | −1.02555 | − | 1.02555i | −0.999665 | − | 0.0258886i | \(-0.991758\pi\) |
−0.0258886 | − | 0.999665i | \(-0.508242\pi\) | |||||||
\(488\) | −3.61413e7 | − | 2.04967e8i | −0.310988 | − | 1.76370i | ||||
\(489\) | −1.26806e8 | + | 3.39775e7i | −1.08446 | + | 0.290579i | ||||
\(490\) | −5.78079e7 | − | 4.85065e7i | −0.491359 | − | 0.412299i | ||||
\(491\) | 3.52503e7 | + | 6.10553e7i | 0.297795 | + | 0.515797i | 0.975631 | − | 0.219416i | \(-0.0704153\pi\) |
−0.677836 | + | 0.735213i | \(0.737082\pi\) | |||||||
\(492\) | −1.80170e8 | − | 1.04021e8i | −1.51282 | − | 0.873427i | ||||
\(493\) | −2.33852e7 | + | 8.51153e6i | −0.195164 | + | 0.0710341i | ||||
\(494\) | −3.01683e6 | − | 263938.i | −0.0250248 | − | 0.00218938i | ||||
\(495\) | 1.76405e7 | + | 4.72677e6i | 0.145444 | + | 0.0389717i | ||||
\(496\) | 1.01838e7 | + | 1.45439e7i | 0.0834570 | + | 0.119189i | ||||
\(497\) | 4.01108e7 | − | 2.27480e8i | 0.326732 | − | 1.85299i | ||||
\(498\) | 1.11161e7 | + | 1.27058e8i | 0.0900046 | + | 1.02876i | ||||
\(499\) | 2.12823e7 | − | 9.92412e6i | 0.171284 | − | 0.0798712i | −0.335085 | − | 0.942188i | \(-0.608765\pi\) |
0.506369 | + | 0.862317i | \(0.330987\pi\) | |||||||
\(500\) | −9.66408e7 | − | 2.07247e8i | −0.773126 | − | 1.65797i | ||||
\(501\) | −8.50748e6 | + | 744308.i | −0.0676531 | + | 0.00591888i | ||||
\(502\) | −5.70756e7 | − | 1.00640e7i | −0.451169 | − | 0.0795533i | ||||
\(503\) | 6.49535e7 | − | 4.54809e7i | 0.510386 | − | 0.357376i | −0.289840 | − | 0.957075i | \(-0.593602\pi\) |
0.800225 | + | 0.599699i | \(0.204713\pi\) | |||||||
\(504\) | −2.55284e7 | + | 9.52733e7i | −0.199403 | + | 0.744183i | ||||
\(505\) | 9.99143e6 | − | 1.14203e8i | 0.0775806 | − | 0.886751i | ||||
\(506\) | −1.07995e7 | − | 2.96715e7i | −0.0833593 | − | 0.229028i | ||||
\(507\) | −4.27720e7 | + | 7.40833e7i | −0.328198 | + | 0.568455i | ||||
\(508\) | 9.12897e7 | − | 5.27061e7i | 0.696355 | − | 0.402041i | ||||
\(509\) | 7.44960e7 | − | 8.87809e7i | 0.564910 | − | 0.673234i | −0.405668 | − | 0.914021i | \(-0.632961\pi\) |
0.970578 | + | 0.240787i | \(0.0774054\pi\) | |||||||
\(510\) | 3.51859e7 | + | 1.31316e8i | 0.265252 | + | 0.989934i | ||||
\(511\) | 1.81061e8 | − | 3.19260e7i | 1.35695 | − | 0.239267i | ||||
\(512\) | −2.84490e7 | + | 2.84490e7i | −0.211961 | + | 0.211961i | ||||
\(513\) | 9.50622e7 | + | 6.65633e7i | 0.704135 | + | 0.493041i | ||||
\(514\) | −5.59242e7 | + | 4.69260e7i | −0.411823 | + | 0.345561i | ||||
\(515\) | −1.11929e8 | − | 4.07389e7i | −0.819449 | − | 0.298255i | ||||
\(516\) | 2.00184e8 | + | 9.33474e7i | 1.45707 | + | 0.679443i | ||||
\(517\) | 4.41661e6i | 0.0319608i | ||||||||
\(518\) | 2.56565e8 | − | 1.00244e8i | 1.84590 | − | 0.721220i | ||||
\(519\) | −8.37110e7 | −0.598798 | ||||||||
\(520\) | 1.03250e6 | − | 2.21421e6i | 0.00734314 | − | 0.0157474i | ||||
\(521\) | −4.84345e7 | + | 1.33073e8i | −0.342485 | + | 0.940971i | 0.642186 | + | 0.766549i | \(0.278028\pi\) |
−0.984671 | + | 0.174422i | \(0.944194\pi\) | |||||||
\(522\) | −1.56841e7 | − | 1.86915e7i | −0.110267 | − | 0.131411i | ||||
\(523\) | −1.20389e8 | + | 1.71933e8i | −0.841553 | + | 1.20186i | 0.135903 | + | 0.990722i | \(0.456606\pi\) |
−0.977456 | + | 0.211140i | \(0.932283\pi\) | |||||||
\(524\) | 2.25243e8 | + | 2.25243e8i | 1.56552 | + | 1.56552i | ||||
\(525\) | 5.72328e6 | + | 3.24583e7i | 0.0395519 | + | 0.224310i | ||||
\(526\) | −2.26060e8 | + | 6.05725e7i | −1.55334 | + | 0.416216i | ||||
\(527\) | 1.22341e8 | + | 1.02656e8i | 0.835871 | + | 0.701379i | ||||
\(528\) | 2.27863e6 | + | 3.94670e6i | 0.0154800 | + | 0.0268122i | ||||
\(529\) | 9.93115e7 | + | 5.73375e7i | 0.670861 | + | 0.387322i | ||||
\(530\) | 6.86793e7 | − | 2.49972e7i | 0.461316 | − | 0.167905i | ||||
\(531\) | 1.13615e8 | + | 9.94001e6i | 0.758843 | + | 0.0663901i | ||||
\(532\) | 2.47161e8 | + | 6.62265e7i | 1.64151 | + | 0.439842i | ||||
\(533\) | 2.52241e6 | + | 3.60238e6i | 0.0166584 | + | 0.0237907i | ||||
\(534\) | −2.56122e6 | + | 1.45254e7i | −0.0168199 | + | 0.0953903i | ||||
\(535\) | 2.09465e7 | + | 2.39420e8i | 0.136789 | + | 1.56350i | ||||
\(536\) | −9.22168e7 | + | 4.30014e7i | −0.598846 | + | 0.279247i | ||||
\(537\) | −5.18808e7 | − | 1.11259e8i | −0.335030 | − | 0.718474i | ||||
\(538\) | −2.22178e8 | + | 1.94381e7i | −1.42677 | + | 0.124826i | ||||
\(539\) | −2.24086e7 | − | 3.95125e6i | −0.143103 | − | 0.0252330i | ||||
\(540\) | −1.88911e8 | + | 1.32277e8i | −1.19971 | + | 0.840044i | ||||
\(541\) | 3.97781e7 | − | 1.48454e8i | 0.251219 | − | 0.937561i | −0.718936 | − | 0.695076i | \(-0.755371\pi\) |
0.970155 | − | 0.242485i | \(-0.0779625\pi\) | |||||||
\(542\) | 2.97289e7 | − | 3.39803e8i | 0.186716 | − | 2.13417i | ||||
\(543\) | 4.94604e7 | + | 1.35891e8i | 0.308929 | + | 0.848775i | ||||
\(544\) | −7.92839e7 | + | 1.37324e8i | −0.492479 | + | 0.852999i | ||||
\(545\) | 1.95364e7 | − | 1.12793e7i | 0.120685 | − | 0.0696778i | ||||
\(546\) | −2.50209e6 | + | 2.98187e6i | −0.0153718 | + | 0.0183194i | ||||
\(547\) | −1.06128e6 | − | 3.96074e6i | −0.00648436 | − | 0.0242000i | 0.962608 | − | 0.270899i | \(-0.0873208\pi\) |
−0.969092 | + | 0.246699i | \(0.920654\pi\) | |||||||
\(548\) | 3.71538e8 | − | 6.55123e7i | 2.25768 | − | 0.398090i | ||||
\(549\) | 1.06477e8 | − | 1.06477e8i | 0.643488 | − | 0.643488i | ||||
\(550\) | −2.00626e7 | − | 1.40480e7i | −0.120587 | − | 0.0844359i | ||||
\(551\) | −1.96853e7 | + | 1.65179e7i | −0.117676 | + | 0.0987415i | ||||
\(552\) | 5.51531e7 | + | 2.00741e7i | 0.327908 | + | 0.119349i | ||||
\(553\) | −9.74633e7 | − | 4.54479e7i | −0.576323 | − | 0.268744i | ||||
\(554\) | 1.39633e8i | 0.821220i | ||||||||
\(555\) | 8.98196e7 | + | 3.03302e7i | 0.525403 | + | 0.177417i | ||||
\(556\) | −4.32320e8 | −2.51525 | ||||||||
\(557\) | −1.53016e7 | + | 3.28143e7i | −0.0885463 | + | 0.189888i | −0.945594 | − | 0.325349i | \(-0.894518\pi\) |
0.857048 | + | 0.515237i | \(0.172296\pi\) | |||||||
\(558\) | −5.35555e7 | + | 1.47143e8i | −0.308249 | + | 0.846907i | ||||
\(559\) | −3.00119e6 | − | 3.57668e6i | −0.0171814 | − | 0.0204760i | ||||
\(560\) | −1.54833e7 | + | 2.21125e7i | −0.0881659 | + | 0.125914i | ||||
\(561\) | 2.89861e7 | + | 2.89861e7i | 0.164173 | + | 0.164173i | ||||
\(562\) | −6.21737e7 | − | 3.52604e8i | −0.350266 | − | 1.98646i | ||||
\(563\) | −8.39046e6 | + | 2.24822e6i | −0.0470176 | + | 0.0125983i | −0.282251 | − | 0.959341i | \(-0.591081\pi\) |
0.235234 | + | 0.971939i | \(0.424414\pi\) | |||||||
\(564\) | −1.54912e7 | − | 1.29987e7i | −0.0863471 | − | 0.0724538i | ||||
\(565\) | 4.97706e7 | + | 8.62052e7i | 0.275948 | + | 0.477956i | ||||
\(566\) | −3.47933e7 | − | 2.00879e7i | −0.191887 | − | 0.110786i | ||||
\(567\) | 2.22878e7 | − | 8.11209e6i | 0.122269 | − | 0.0445024i | ||||
\(568\) | −3.17844e8 | − | 2.78078e7i | −1.73448 | − | 0.151747i | ||||
\(569\) | −1.70793e8 | − | 4.57638e7i | −0.927113 | − | 0.248419i | −0.236490 | − | 0.971634i | \(-0.575997\pi\) |
−0.690623 | + | 0.723215i | \(0.742664\pi\) | |||||||
\(570\) | 8.05185e7 | + | 1.14992e8i | 0.434781 | + | 0.620932i | ||||
\(571\) | −4.20860e7 | + | 2.38681e8i | −0.226063 | + | 1.28207i | 0.634581 | + | 0.772857i | \(0.281173\pi\) |
−0.860643 | + | 0.509208i | \(0.829938\pi\) | |||||||
\(572\) | −158155. | − | 1.80772e6i | −0.000845073 | − | 0.00965923i | ||||
\(573\) | −6.36934e7 | + | 2.97007e7i | −0.338556 | + | 0.157871i | ||||
\(574\) | −2.50322e8 | − | 5.36818e8i | −1.32362 | − | 2.83851i | ||||
\(575\) | −2.57782e7 | + | 2.25530e6i | −0.135596 | + | 0.0118631i | ||||
\(576\) | −1.69215e8 | − | 2.98372e7i | −0.885465 | − | 0.156131i | ||||
\(577\) | −4.80628e7 | + | 3.36539e7i | −0.250197 | + | 0.175190i | −0.691947 | − | 0.721949i | \(-0.743247\pi\) |
0.441750 | + | 0.897138i | \(0.354358\pi\) | |||||||
\(578\) | 2.23337e7 | − | 8.33504e7i | 0.115658 | − | 0.431643i | ||||
\(579\) | 1.69823e7 | − | 1.94109e8i | 0.0874905 | − | 1.00002i | ||||
\(580\) | −1.74657e7 | − | 4.79867e7i | −0.0895165 | − | 0.245945i | ||||
\(581\) | −1.13901e8 | + | 1.97282e8i | −0.580764 | + | 1.00591i | ||||
\(582\) | −3.09515e7 | + | 1.78698e7i | −0.157005 | + | 0.0906467i | ||||
\(583\) | 1.41657e7 | − | 1.68821e7i | 0.0714880 | − | 0.0851961i | ||||
\(584\) | −6.57279e7 | − | 2.45300e8i | −0.329998 | − | 1.23157i | ||||
\(585\) | 1.74074e6 | − | 306939.i | 0.00869493 | − | 0.00153315i | ||||
\(586\) | 3.20174e7 | − | 3.20174e7i | 0.159109 | − | 0.159109i | ||||
\(587\) | 8.69105e7 | + | 6.08554e7i | 0.429693 | + | 0.300874i | 0.768343 | − | 0.640038i | \(-0.221082\pi\) |
−0.338650 | + | 0.940912i | \(0.609970\pi\) | |||||||
\(588\) | 7.98105e7 | − | 6.69689e7i | 0.392580 | − | 0.329414i | ||||
\(589\) | 1.54965e8 | + | 5.64028e7i | 0.758383 | + | 0.276029i | ||||
\(590\) | 3.44833e8 | + | 1.60798e8i | 1.67901 | + | 0.782935i | ||||
\(591\) | − | 2.49772e8i | − | 1.20999i | ||||||
\(592\) | −1.38496e7 | − | 2.79717e7i | −0.0667531 | − | 0.134820i | ||||
\(593\) | −3.16832e8 | −1.51938 | −0.759688 | − | 0.650288i | \(-0.774648\pi\) | ||||
−0.759688 | + | 0.650288i | \(0.774648\pi\) | |||||||
\(594\) | −4.68456e7 | + | 1.00461e8i | −0.223517 | + | 0.479333i | ||||
\(595\) | −8.30474e7 | + | 2.28171e8i | −0.394253 | + | 1.08320i | ||||
\(596\) | −3.34008e8 | − | 3.98055e8i | −1.57768 | − | 1.88020i | ||||
\(597\) | −8.22991e7 | + | 1.17535e8i | −0.386787 | + | 0.552389i | ||||
\(598\) | −2.16099e6 | − | 2.16099e6i | −0.0101053 | − | 0.0101053i | ||||
\(599\) | −727100. | − | 4.12359e6i | −0.00338309 | − | 0.0191865i | 0.983069 | − | 0.183233i | \(-0.0586563\pi\) |
−0.986453 | + | 0.164047i | \(0.947545\pi\) | |||||||
\(600\) | 4.39742e7 | − | 1.17828e7i | 0.203584 | − | 0.0545502i | ||||
\(601\) | 1.20858e8 | + | 1.01412e8i | 0.556740 | + | 0.467160i | 0.877216 | − | 0.480096i | \(-0.159398\pi\) |
−0.320476 | + | 0.947257i | \(0.603843\pi\) | |||||||
\(602\) | 3.14429e8 | + | 5.44608e8i | 1.44123 | + | 2.49628i | ||||
\(603\) | −6.37535e7 | − | 3.68081e7i | −0.290772 | − | 0.167877i | ||||
\(604\) | 1.06433e8 | − | 3.87384e7i | 0.483019 | − | 0.175805i | ||||
\(605\) | −1.68009e8 | − | 1.46989e7i | −0.758695 | − | 0.0663772i | ||||
\(606\) | 2.43695e8 | + | 6.52978e7i | 1.09504 | + | 0.293414i | ||||
\(607\) | 2.50348e8 | + | 3.57533e8i | 1.11938 | + | 1.59864i | 0.738848 | + | 0.673872i | \(0.235370\pi\) |
0.380531 | + | 0.924768i | \(0.375741\pi\) | |||||||
\(608\) | −2.84326e7 | + | 1.61249e8i | −0.126504 | + | 0.717442i | ||||
\(609\) | 2.87880e6 | + | 3.29049e7i | 0.0127456 | + | 0.145683i | ||||
\(610\) | 4.55293e8 | − | 2.12307e8i | 2.00586 | − | 0.935349i | ||||
\(611\) | 180656. | + | 387418.i | 0.000792006 | + | 0.00169846i | ||||
\(612\) | 2.46698e8 | − | 2.15833e7i | 1.07625 | − | 0.0941595i | ||||
\(613\) | −1.40593e8 | − | 2.47903e7i | −0.610353 | − | 0.107622i | −0.140076 | − | 0.990141i | \(-0.544735\pi\) |
−0.470277 | + | 0.882519i | \(0.655846\pi\) | |||||||
\(614\) | 4.39991e8 | − | 3.08085e8i | 1.90081 | − | 1.33096i | ||||
\(615\) | 5.27616e7 | − | 1.96909e8i | 0.226826 | − | 0.846526i | ||||
\(616\) | −8.64764e6 | + | 9.88429e7i | −0.0369960 | + | 0.422867i | ||||
\(617\) | −1.49738e8 | − | 4.11401e8i | −0.637494 | − | 1.75150i | −0.659458 | − | 0.751742i | \(-0.729214\pi\) |
0.0219636 | − | 0.999759i | \(-0.493008\pi\) | |||||||
\(618\) | 1.31069e8 | − | 2.27018e8i | 0.555308 | − | 0.961821i | ||||
\(619\) | 1.22296e8 | − | 7.06077e7i | 0.515633 | − | 0.297701i | −0.219513 | − | 0.975610i | \(-0.570447\pi\) |
0.735146 | + | 0.677909i | \(0.237114\pi\) | |||||||
\(620\) | −2.10651e8 | + | 2.51045e8i | −0.883872 | + | 1.05336i | ||||
\(621\) | 3.03111e7 | + | 1.13122e8i | 0.126569 | + | 0.472361i | ||||
\(622\) | 7.33476e8 | − | 1.29332e8i | 3.04800 | − | 0.537444i | ||||
\(623\) | −1.86279e7 | + | 1.86279e7i | −0.0770369 | + | 0.0770369i | ||||
\(624\) | 361312. | + | 252993.i | 0.00148706 | + | 0.00104125i | ||||
\(625\) | 1.18023e8 | − | 9.90327e7i | 0.483420 | − | 0.405638i | ||||
\(626\) | 3.45105e8 | + | 1.25608e8i | 1.40679 | + | 0.512029i | ||||
\(627\) | 3.83629e7 | + | 1.78889e7i | 0.155635 | + | 0.0725740i | ||||
\(628\) | − | 5.27619e8i | − | 2.13030i | ||||||
\(629\) | −1.85452e8 | − | 2.10789e8i | −0.745213 | − | 0.847026i | ||||
\(630\) | −2.38072e8 | −0.952111 | ||||||||
\(631\) | 4.60043e7 | − | 9.86566e7i | 0.183109 | − | 0.392680i | −0.793230 | − | 0.608922i | \(-0.791602\pi\) |
0.976340 | + | 0.216242i | \(0.0693801\pi\) | |||||||
\(632\) | −5.08038e7 | + | 1.39582e8i | −0.201254 | + | 0.552942i | ||||
\(633\) | −9.48805e7 | − | 1.13074e8i | −0.374081 | − | 0.445813i | ||||
\(634\) | −9.27251e7 | + | 1.32425e8i | −0.363856 | + | 0.519640i | ||||
\(635\) | 7.30375e7 | + | 7.30375e7i | 0.285250 | + | 0.285250i | ||||
\(636\) | 1.75220e7 | + | 9.93721e7i | 0.0681102 | + | 0.386272i | ||||
\(637\) | −2.12727e6 | + | 570000.i | −0.00823008 | + | 0.00220524i | ||||
\(638\) | −1.88026e7 | − | 1.57773e7i | −0.0724030 | − | 0.0607533i | ||||
\(639\) | −1.15420e8 | − | 1.99913e8i | −0.442361 | − | 0.766192i | ||||
\(640\) | −3.29040e8 | − | 1.89971e8i | −1.25519 | − | 0.724683i | ||||
\(641\) | 3.00065e8 | − | 1.09215e8i | 1.13931 | − | 0.414674i | 0.297644 | − | 0.954677i | \(-0.403799\pi\) |
0.841663 | + | 0.540003i | \(0.181577\pi\) | |||||||
\(642\) | −5.26903e8 | − | 4.60980e7i | −1.99125 | − | 0.174212i | ||||
\(643\) | −1.00622e8 | − | 2.69615e7i | −0.378493 | − | 0.101417i | 0.0645564 | − | 0.997914i | \(-0.479437\pi\) |
−0.443050 | + | 0.896497i | \(0.646103\pi\) | |||||||
\(644\) | 1.48111e8 | + | 2.11525e8i | 0.554537 | + | 0.791961i | ||||
\(645\) | −3.75832e7 | + | 2.13145e8i | −0.140060 | + | 0.794321i | ||||
\(646\) | −3.62337e7 | − | 4.14153e8i | −0.134405 | − | 1.53625i | ||||
\(647\) | −2.70601e7 | + | 1.26183e7i | −0.0999119 | + | 0.0465897i | −0.471932 | − | 0.881635i | \(-0.656443\pi\) |
0.372020 | + | 0.928225i | \(0.378665\pi\) | |||||||
\(648\) | −1.38455e7 | − | 2.96917e7i | −0.0508842 | − | 0.109122i | ||||
\(649\) | 1.14290e8 | − | 9.99910e6i | 0.418095 | − | 0.0365786i | ||||
\(650\) | −2.33448e6 | − | 411631.i | −0.00850060 | − | 0.00149888i | ||||
\(651\) | 1.73637e8 | − | 1.21582e8i | 0.629360 | − | 0.440682i | ||||
\(652\) | −2.06482e8 | + | 7.70603e8i | −0.744973 | + | 2.78028i | ||||
\(653\) | −3.54736e6 | + | 4.05465e7i | −0.0127399 | + | 0.145618i | −0.999900 | − | 0.0141138i | \(-0.995507\pi\) |
0.987160 | + | 0.159732i | \(0.0510629\pi\) | |||||||
\(654\) | 1.69799e7 | + | 4.66520e7i | 0.0607020 | + | 0.166777i | ||||
\(655\) | −1.56065e8 | + | 2.70313e8i | −0.555370 | + | 0.961930i | ||||
\(656\) | −5.81252e7 | + | 3.35586e7i | −0.205898 | + | 0.118875i | ||||
\(657\) | 1.18103e8 | − | 1.40749e8i | 0.416451 | − | 0.496307i | ||||
\(658\) | −1.49014e7 | − | 5.56127e7i | −0.0523057 | − | 0.195207i | ||||
\(659\) | −3.39739e8 | + | 5.99051e7i | −1.18710 | + | 0.209318i | −0.732116 | − | 0.681179i | \(-0.761467\pi\) |
−0.454987 | + | 0.890498i | \(0.650356\pi\) | |||||||
\(660\) | −5.94797e7 | + | 5.94797e7i | −0.206889 | + | 0.206889i | ||||
\(661\) | −2.98482e8 | − | 2.08999e8i | −1.03351 | − | 0.723670i | −0.0717082 | − | 0.997426i | \(-0.522845\pi\) |
−0.961799 | + | 0.273756i | \(0.911734\pi\) | |||||||
\(662\) | −7.32282e7 | + | 6.14457e7i | −0.252409 | + | 0.211796i | ||||
\(663\) | 3.72824e6 | + | 1.35697e6i | 0.0127927 | + | 0.00465618i | ||||
\(664\) | 2.85176e8 | + | 1.32980e8i | 0.974111 | + | 0.454235i | ||||
\(665\) | 2.50730e8i | 0.852591i | ||||||||
\(666\) | 1.32019e8 | − | 2.41551e8i | 0.446905 | − | 0.817686i | ||||
\(667\) | −2.59327e7 | −0.0873918 | ||||||||
\(668\) | −2.19329e7 | + | 4.70353e7i | −0.0735813 | + | 0.157796i | ||||
\(669\) | 1.02976e8 | − | 2.82925e8i | 0.343921 | − | 0.944914i | ||||
\(670\) | −1.57864e8 | − | 1.88135e8i | −0.524878 | − | 0.625526i | ||||
\(671\) | 8.68836e7 | − | 1.24083e8i | 0.287588 | − | 0.410718i | ||||
\(672\) | 1.48819e8 | + | 1.48819e8i | 0.490402 | + | 0.490402i | ||||
\(673\) | 7.33558e7 | + | 4.16021e8i | 0.240652 | + | 1.36480i | 0.830378 | + | 0.557201i | \(0.188125\pi\) |
−0.589726 | + | 0.807604i | \(0.700764\pi\) | |||||||
\(674\) | −5.43884e8 | + | 1.45733e8i | −1.77634 | + | 0.475969i | ||||
\(675\) | 6.95871e7 | + | 5.83905e7i | 0.226265 | + | 0.189859i | ||||
\(676\) | 2.59927e8 | + | 4.50207e8i | 0.841417 | + | 1.45738i | ||||
\(677\) | −4.29428e8 | − | 2.47930e8i | −1.38396 | − | 0.799031i | −0.391336 | − | 0.920248i | \(-0.627987\pi\) |
−0.992626 | + | 0.121217i | \(0.961320\pi\) | |||||||
\(678\) | −2.05854e8 | + | 7.49248e7i | −0.660496 | + | 0.240401i | ||||
\(679\) | −6.35911e7 | − | 5.56350e6i | −0.203136 | − | 0.0177721i | ||||
\(680\) | 3.23964e8 | + | 8.68059e7i | 1.03032 | + | 0.276072i | ||||
\(681\) | −4.44396e7 | − | 6.34663e7i | −0.140711 | − | 0.200956i | ||||
\(682\) | −2.73525e7 | + | 1.55124e8i | −0.0862270 | + | 0.489018i | ||||
\(683\) | 3.59023e7 | + | 4.10365e8i | 0.112683 | + | 1.28798i | 0.816396 | + | 0.577492i | \(0.195969\pi\) |
−0.703713 | + | 0.710484i | \(0.748476\pi\) | |||||||
\(684\) | 2.31755e8 | − | 1.08069e8i | 0.724204 | − | 0.337702i | ||||
\(685\) | 1.56232e8 | + | 3.35041e8i | 0.486070 | + | 1.04238i | ||||
\(686\) | −3.41852e8 | + | 2.99082e7i | −1.05893 | + | 0.0926440i | ||||
\(687\) | −2.21290e8 | − | 3.90193e7i | −0.682482 | − | 0.120340i | ||||
\(688\) | 5.83714e7 | − | 4.08721e7i | 0.179240 | − | 0.125505i | ||||
\(689\) | 552054. | − | 2.06029e6i | 0.00168781 | − | 0.00629900i | ||||
\(690\) | −1.23470e7 | + | 1.41127e8i | −0.0375850 | + | 0.429598i | ||||
\(691\) | −2.69512e7 | − | 7.40477e7i | −0.0816852 | − | 0.224428i | 0.892126 | − | 0.451787i | \(-0.149213\pi\) |
−0.973811 | + | 0.227359i | \(0.926991\pi\) | |||||||
\(692\) | −2.54358e8 | + | 4.40560e8i | −0.767585 | + | 1.32950i | ||||
\(693\) | −6.21686e7 | + | 3.58931e7i | −0.186798 | + | 0.107848i | ||||
\(694\) | 4.05590e8 | − | 4.83363e8i | 1.21341 | − | 1.44609i | ||||
\(695\) | −1.09641e8 | − | 4.09184e8i | −0.326601 | − | 1.21889i | ||||
\(696\) | 4.49310e7 | − | 7.92255e6i | 0.133266 | − | 0.0234983i | ||||
\(697\) | −4.26893e8 | + | 4.26893e8i | −1.26073 | + | 1.26073i | ||||
\(698\) | 2.95847e7 | + | 2.07154e7i | 0.0869963 | + | 0.0609155i | ||||
\(699\) | 2.47247e8 | − | 2.07465e8i | 0.723936 | − | 0.607454i | ||||
\(700\) | 1.88214e8 | + | 6.85044e7i | 0.548730 | + | 0.199721i | ||||
\(701\) | −2.21451e8 | − | 1.03264e8i | −0.642872 | − | 0.299776i | 0.0737095 | − | 0.997280i | \(-0.476516\pi\) |
−0.716581 | + | 0.697504i | \(0.754294\pi\) | |||||||
\(702\) | 1.07284e7i | 0.0310116i | ||||||||
\(703\) | −2.54393e8 | − | 1.39038e8i | −0.732217 | − | 0.400192i | ||||
\(704\) | −1.72847e8 | −0.495386 | ||||||||
\(705\) | 8.37432e6 | − | 1.79588e7i | 0.0238991 | − | 0.0512518i | ||||
\(706\) | −7.05151e7 | + | 1.93739e8i | −0.200386 | + | 0.550557i | ||||
\(707\) | 2.89648e8 | + | 3.45190e8i | 0.819621 | + | 0.976786i | ||||
\(708\) | −3.01299e8 | + | 4.30300e8i | −0.848981 | + | 1.21247i | ||||
\(709\) | 7.34083e7 | + | 7.34083e7i | 0.205971 | + | 0.205971i | 0.802553 | − | 0.596581i | \(-0.203475\pi\) |
−0.596581 | + | 0.802553i | \(0.703475\pi\) | |||||||
\(710\) | −1.33728e8 | − | 7.58409e8i | −0.373635 | − | 2.11899i | ||||
\(711\) | −1.03807e8 | + | 2.78151e7i | −0.288814 | + | 0.0773876i | ||||
\(712\) | 2.78748e7 | + | 2.33897e7i | 0.0772273 | + | 0.0648014i | ||||
\(713\) | 8.32109e7 | + | 1.44125e8i | 0.229568 | + | 0.397624i | ||||
\(714\) | −4.62781e8 | − | 2.67187e8i | −1.27140 | − | 0.734041i | ||||
\(715\) | 1.67087e6 | − | 608146.i | 0.00457113 | − | 0.00166376i | ||||
\(716\) | −7.43181e8 | − | 6.50199e7i | −2.02468 | − | 0.177136i | ||||
\(717\) | −1.05196e8 | − | 2.81871e7i | −0.285391 | − | 0.0764703i | ||||
\(718\) | 1.88147e8 | + | 2.68702e8i | 0.508306 | + | 0.725936i | ||||
\(719\) | 8.40037e6 | − | 4.76409e7i | 0.0226002 | − | 0.128172i | −0.971420 | − | 0.237366i | \(-0.923716\pi\) |
0.994020 | + | 0.109194i | \(0.0348270\pi\) | |||||||
\(720\) | 2.35119e6 | + | 2.68742e7i | 0.00629927 | + | 0.0720010i | ||||
\(721\) | 4.24332e8 | − | 1.97869e8i | 1.13214 | − | 0.527926i | ||||
\(722\) | 7.91324e7 | + | 1.69700e8i | 0.210253 | + | 0.450890i | ||||
\(723\) | −9.09967e6 | + | 796118.i | −0.0240775 | + | 0.00210651i | ||||
\(724\) | 8.65465e8 | + | 1.52605e8i | 2.28052 | + | 0.402117i | ||||
\(725\) | −1.64772e7 | + | 1.15374e7i | −0.0432383 | + | 0.0302758i | ||||
\(726\) | 9.60631e7 | − | 3.58512e8i | 0.251042 | − | 0.936902i | ||||
\(727\) | 4.64486e6 | − | 5.30910e7i | 0.0120884 | − | 0.138171i | −0.987752 | − | 0.156032i | \(-0.950130\pi\) |
0.999840 | + | 0.0178603i | \(0.00568541\pi\) | |||||||
\(728\) | 3.28449e6 | + | 9.02405e6i | 0.00851282 | + | 0.0233888i | ||||
\(729\) | 1.42878e8 | − | 2.47472e8i | 0.368793 | − | 0.638768i | ||||
\(730\) | 5.30843e8 | − | 3.06482e8i | 1.36457 | − | 0.787837i | ||||
\(731\) | 4.12006e8 | − | 4.91010e8i | 1.05475 | − | 1.25701i | ||||
\(732\) | 1.79508e8 | + | 6.69934e8i | 0.457669 | + | 1.70804i | ||||
\(733\) | 6.52542e8 | − | 1.15061e8i | 1.65690 | − | 0.292156i | 0.734562 | − | 0.678541i | \(-0.237388\pi\) |
0.922338 | + | 0.386385i | \(0.126276\pi\) | |||||||
\(734\) | −3.75063e8 | + | 3.75063e8i | −0.948455 | + | 0.948455i | ||||
\(735\) | 8.36258e7 | + | 5.85554e7i | 0.210610 | + | 0.147471i | ||||
\(736\) | −1.26579e8 | + | 1.06212e8i | −0.317488 | + | 0.266404i | ||||
\(737\) | −6.95878e7 | − | 2.53279e7i | −0.173832 | − | 0.0632698i | ||||
\(738\) | −5.36469e8 | − | 2.50160e8i | −1.33468 | − | 0.622370i | ||||
\(739\) | 2.67677e8i | 0.663251i | 0.943411 | + | 0.331625i | \(0.107597\pi\) | ||||
−0.943411 | + | 0.331625i | \(0.892403\pi\) | |||||||
\(740\) | 4.32542e8 | − | 3.80550e8i | 1.06742 | − | 0.939110i | ||||
\(741\) | 4.09685e6 | 0.0100692 | ||||||||
\(742\) | −1.21412e8 | + | 2.60368e8i | −0.297200 | + | 0.637347i | ||||
\(743\) | 1.19443e8 | − | 3.28166e8i | 0.291201 | − | 0.800068i | −0.704690 | − | 0.709515i | \(-0.748914\pi\) |
0.995892 | − | 0.0905536i | \(-0.0288636\pi\) | |||||||
\(744\) | −1.88202e8 | − | 2.24290e8i | −0.456988 | − | 0.544618i | ||||
\(745\) | 2.92046e8 | − | 4.17085e8i | 0.706288 | − | 1.00868i | ||||
\(746\) | 4.37527e8 | + | 4.37527e8i | 1.05387 | + | 1.05387i | ||||
\(747\) | 3.95318e7 | + | 2.24196e8i | 0.0948385 | + | 0.537856i | ||||
\(748\) | 2.40625e8 | − | 6.44751e7i | 0.574957 | − | 0.154059i | ||||
\(749\) | −7.23672e8 | − | 6.07233e8i | −1.72225 | − | 1.44514i | ||||
\(750\) | 2.46560e8 | + | 4.27055e8i | 0.584439 | + | 1.01228i | ||||
\(751\) | −2.14037e8 | − | 1.23574e8i | −0.505322 | − | 0.291748i | 0.225587 | − | 0.974223i | \(-0.427570\pi\) |
−0.730909 | + | 0.682475i | \(0.760903\pi\) | |||||||
\(752\) | −6.13054e6 | + | 2.23133e6i | −0.0144160 | + | 0.00524700i | ||||
\(753\) | 7.81063e7 | + | 6.83342e6i | 0.182937 | + | 0.0160049i | ||||
\(754\) | −2.29468e6 | − | 614858.i | −0.00535314 | − | 0.00143437i | ||||
\(755\) | 6.36577e7 | + | 9.09126e7i | 0.147914 | + | 0.211243i | ||||
\(756\) | 1.57411e8 | − | 8.92720e8i | 0.364308 | − | 2.06609i | ||||
\(757\) | 2.78477e7 | + | 3.18301e8i | 0.0641952 | + | 0.733754i | 0.958275 | + | 0.285847i | \(0.0922749\pi\) |
−0.894080 | + | 0.447907i | \(0.852170\pi\) | |||||||
\(758\) | −2.57144e8 | + | 1.19908e8i | −0.590431 | + | 0.275323i | ||||
\(759\) | 1.80528e7 | + | 3.87144e7i | 0.0412876 | + | 0.0885416i | ||||
\(760\) | 3.45008e8 | − | 3.01843e7i | 0.785938 | − | 0.0687606i | ||||
\(761\) | 6.13655e8 | + | 1.08204e8i | 1.39242 | + | 0.245521i | 0.819025 | − | 0.573757i | \(-0.194515\pi\) |
0.573396 | + | 0.819279i | \(0.305626\pi\) | |||||||
\(762\) | −1.86207e8 | + | 1.30384e8i | −0.420854 | + | 0.294685i | ||||
\(763\) | −2.29500e7 | + | 8.56505e7i | −0.0516665 | + | 0.192822i | ||||
\(764\) | −3.72226e7 | + | 4.25456e8i | −0.0834693 | + | 0.954058i | ||||
\(765\) | 8.29935e7 | + | 2.28023e8i | 0.185379 | + | 0.509324i | ||||
\(766\) | 2.33221e8 | − | 4.03951e8i | 0.518897 | − | 0.898756i | ||||
\(767\) | 9.61634e6 | − | 5.55199e6i | 0.0213120 | − | 0.0123045i | ||||
\(768\) | 2.35281e8 | − | 2.80397e8i | 0.519402 | − | 0.618999i | ||||
\(769\) | 5.30758e7 | + | 1.98081e8i | 0.116712 | + | 0.435577i | 0.999409 | − | 0.0343660i | \(-0.0109412\pi\) |
−0.882697 | + | 0.469943i | \(0.844275\pi\) | |||||||
\(770\) | −2.35849e8 | + | 4.15866e7i | −0.516609 | + | 0.0910922i | ||||
\(771\) | 6.98352e7 | − | 6.98352e7i | 0.152374 | − | 0.152374i | ||||
\(772\) | −9.69968e8 | − | 6.79179e8i | −2.10817 | − | 1.47616i | ||||
\(773\) | 1.45473e8 | − | 1.22066e8i | 0.314951 | − | 0.264275i | −0.471584 | − | 0.881821i | \(-0.656318\pi\) |
0.786535 | + | 0.617546i | \(0.211873\pi\) | |||||||
\(774\) | 5.90550e8 | + | 2.14943e8i | 1.27360 | + | 0.463554i | ||||
\(775\) | 1.16992e8 | + | 5.45542e7i | 0.251334 | + | 0.117199i | ||||
\(776\) | 8.81721e7i | 0.188689i | ||||||||
\(777\) | −3.33949e8 | + | 1.65347e8i | −0.711897 | + | 0.352480i | ||||
\(778\) | −2.99316e8 | −0.635611 | ||||||||
\(779\) | −2.63459e8 | + | 5.64991e8i | −0.557316 | + | 1.19517i | ||||
\(780\) | −2.78452e6 | + | 7.65039e6i | −0.00586767 | + | 0.0161213i | ||||
\(781\) | −1.49262e8 | − | 1.77884e8i | −0.313327 | − | 0.373408i | ||||
\(782\) | 2.40641e8 | − | 3.43671e8i | 0.503209 | − | 0.718658i | ||||
\(783\) | 6.43725e7 | + | 6.43725e7i | 0.134096 | + | 0.134096i | ||||
\(784\) | −5.83657e6 | − | 3.31008e7i | −0.0121118 | − | 0.0686896i | ||||
\(785\) | 4.99384e8 | − | 1.33810e8i | 1.03235 | − | 0.276616i | ||||
\(786\) | −5.26213e8 | − | 4.41545e8i | −1.08366 | − | 0.909300i | ||||
\(787\) | 2.11983e8 | + | 3.67165e8i | 0.434887 | + | 0.753246i | 0.997286 | − | 0.0736195i | \(-0.0234550\pi\) |
−0.562400 | + | 0.826866i | \(0.690122\pi\) | |||||||
\(788\) | −1.31451e9 | − | 7.58935e8i | −2.68650 | − | 1.55105i | ||||
\(789\) | 2.97515e8 | − | 1.08286e8i | 0.605728 | − | 0.220467i | ||||
\(790\) | −3.57166e8 | − | 3.12480e7i | −0.724418 | − | 0.0633783i | ||||
\(791\) | −3.77936e8 | − | 1.01268e8i | −0.763641 | − | 0.204617i | ||||
\(792\) | 5.68736e7 | + | 8.12240e7i | 0.114482 | + | 0.163497i | ||||
\(793\) | 2.54584e6 | − | 1.44382e7i | 0.00510518 | − | 0.0289529i | ||||
\(794\) | −9.83944e7 | − | 1.12465e9i | −0.196566 | − | 2.24676i | ||||
\(795\) | −8.96105e7 | + | 4.17860e7i | −0.178344 | + | 0.0831630i | ||||
\(796\) | 3.68505e8 | + | 7.90262e8i | 0.730642 | + | 1.56687i | ||||
\(797\) | 1.45956e7 | − | 1.27695e6i | 0.0288303 | − | 0.00252232i | −0.0727315 | − | 0.997352i | \(-0.523172\pi\) |
0.101562 | + | 0.994829i | \(0.467616\pi\) | |||||||
\(798\) | −5.43410e8 | − | 9.58179e7i | −1.06935 | − | 0.188555i | ||||
\(799\) | −4.80704e7 | + | 3.36593e7i | −0.0942405 | + | 0.0659879i | ||||
\(800\) | −3.31721e7 | + | 1.23800e8i | −0.0647894 | + | 0.241797i | ||||
\(801\) | −2.29452e6 | + | 2.62265e7i | −0.00446472 | + | 0.0510320i | ||||
\(802\) | 1.24685e8 | + | 3.42570e8i | 0.241709 | + | 0.664089i | ||||
\(803\) | 9.24137e7 | − | 1.60065e8i | 0.178480 | − | 0.309137i | ||||
\(804\) | 2.93643e8 | − | 1.69535e8i | 0.565004 | − | 0.326205i | ||||
\(805\) | −1.62643e8 | + | 1.93830e8i | −0.311779 | + | 0.371564i | ||||
\(806\) | 3.94581e6 | + | 1.47260e7i | 0.00753584 | + | 0.0281241i | ||||
\(807\) | 2.97134e8 | − | 5.23927e7i | 0.565368 | − | 0.0996896i | ||||
\(808\) | 4.40117e8 | − | 4.40117e8i | 0.834322 | − | 0.834322i | ||||
\(809\) | 5.01917e8 | + | 3.51446e8i | 0.947952 | + | 0.663763i | 0.941784 | − | 0.336218i | \(-0.109148\pi\) |
0.00616746 | + | 0.999981i | \(0.498037\pi\) | |||||||
\(810\) | 6.05753e7 | − | 5.08287e7i | 0.113983 | − | 0.0956432i | ||||
\(811\) | −5.32303e8 | − | 1.93742e8i | −0.997921 | − | 0.363213i | −0.209138 | − | 0.977886i | \(-0.567066\pi\) |
−0.788782 | + | 0.614673i | \(0.789288\pi\) | |||||||
\(812\) | 1.81921e8 | + | 8.48313e7i | 0.339794 | + | 0.158448i | ||||
\(813\) | 4.61451e8i | 0.858725i | ||||||||
\(814\) | 8.85923e7 | − | 2.62357e8i | 0.164257 | − | 0.486429i | ||||
\(815\) | −7.81730e8 | −1.44406 | ||||||||
\(816\) | −2.55903e7 | + | 5.48786e7i | −0.0470983 | + | 0.101003i | ||||
\(817\) | 2.26370e8 | − | 6.21947e8i | 0.415100 | − | 1.14048i | ||||
\(818\) | 8.48252e8 | + | 1.01091e9i | 1.54976 | + | 1.84693i | ||||
\(819\) | −3.98516e6 | + | 5.69140e6i | −0.00725428 | + | 0.0103602i | ||||
\(820\) | −8.75989e8 | − | 8.75989e8i | −1.58876 | − | 1.58876i | ||||
\(821\) | 8.81328e7 | + | 4.99826e8i | 0.159260 | + | 0.903211i | 0.954787 | + | 0.297292i | \(0.0960834\pi\) |
−0.795526 | + | 0.605919i | \(0.792805\pi\) | |||||||
\(822\) | −7.85845e8 | + | 2.10567e8i | −1.41489 | + | 0.379118i | ||||
\(823\) | −4.16279e8 | − | 3.49300e8i | −0.746767 | − | 0.626612i | 0.187879 | − | 0.982192i | \(-0.439839\pi\) |
−0.934646 | + | 0.355580i | \(0.884283\pi\) | |||||||
\(824\) | −3.23355e8 | − | 5.60067e8i | −0.577960 | − | 1.00106i | ||||
\(825\) | 2.86944e7 | + | 1.65667e7i | 0.0511017 | + | 0.0295036i | ||||
\(826\) | −1.40537e9 | + | 5.11514e8i | −2.49374 | + | 0.907648i | ||||
\(827\) | 1.08314e9 | + | 9.47626e7i | 1.91500 | + | 0.167541i | 0.981555 | − | 0.191179i | \(-0.0612312\pi\) |
0.933445 | + | 0.358720i | \(0.116787\pi\) | |||||||
\(828\) | 2.49264e8 | + | 6.67900e7i | 0.439104 | + | 0.117658i | ||||
\(829\) | 3.69046e8 | + | 5.27052e8i | 0.647764 | + | 0.925103i | 0.999941 | − | 0.0108303i | \(-0.00344746\pi\) |
−0.352177 | + | 0.935933i | \(0.614559\pi\) | |||||||
\(830\) | −1.31883e8 | + | 7.47945e8i | −0.230651 | + | 1.30808i | ||||
\(831\) | −1.64637e7 | − | 1.88181e8i | −0.0286896 | − | 0.327924i | ||||
\(832\) | −1.51618e7 | + | 7.07007e6i | −0.0263258 | + | 0.0122759i | ||||
\(833\) | −1.27772e8 | − | 2.74008e8i | −0.221056 | − | 0.474055i | ||||
\(834\) | 9.28732e8 | − | 8.12536e7i | 1.60100 | − | 0.140070i | ||||
\(835\) | −5.00806e7 | − | 8.83057e6i | −0.0860222 | − | 0.0151680i | ||||
\(836\) | 2.10713e8 | − | 1.47543e8i | 0.360639 | − | 0.252522i | ||||
\(837\) | 1.51208e8 | − | 5.64314e8i | 0.257868 | − | 0.962376i | ||||
\(838\) | 2.11271e6 | − | 2.41484e7i | 0.00359012 | − | 0.0410352i | ||||
\(839\) | −1.55552e8 | − | 4.27377e8i | −0.263385 | − | 0.723644i | −0.998933 | − | 0.0461723i | \(-0.985298\pi\) |
0.735548 | − | 0.677472i | \(-0.236925\pi\) | |||||||
\(840\) | 2.22579e8 | − | 3.85517e8i | 0.375531 | − | 0.650438i | ||||
\(841\) | 4.97674e8 | − | 2.87332e8i | 0.836676 | − | 0.483055i | ||||
\(842\) | −4.29812e8 | + | 5.12230e8i | −0.720016 | + | 0.858082i | ||||
\(843\) | 1.25365e8 | + | 4.67868e8i | 0.209263 | + | 0.780981i | ||||
\(844\) | −8.83391e8 | + | 1.55766e8i | −1.46935 | + | 0.259086i | ||||
\(845\) | −3.60194e8 | + | 3.60194e8i | −0.596989 | + | 0.596989i | ||||
\(846\) | −4.71317e7 | − | 3.30020e7i | −0.0778398 | − | 0.0545040i | ||||
\(847\) | 5.07827e8 | − | 4.26117e8i | 0.835729 | − | 0.701260i | ||||
\(848\) | 3.05901e7 | + | 1.11339e7i | 0.0501641 | + | 0.0182582i | ||||
\(849\) | 4.92588e7 | + | 2.29698e7i | 0.0804935 | + | 0.0375348i | ||||
\(850\) | − | 3.25423e8i | − | 0.529896i | ||||||
\(851\) | −1.06471e8 | − | 2.72505e8i | −0.172760 | − | 0.442166i | ||||
\(852\) | 1.06322e9 | 1.71912 | ||||||||
\(853\) | −2.71059e8 | + | 5.81288e8i | −0.436734 | + | 0.936579i | 0.557583 | + | 0.830121i | \(0.311729\pi\) |
−0.994317 | + | 0.106458i | \(0.966049\pi\) | |||||||
\(854\) | −6.75366e8 | + | 1.85555e9i | −1.08434 | + | 2.97920i | ||||
\(855\) | 1.61061e8 | + | 1.91945e8i | 0.257687 | + | 0.307100i | ||||
\(856\) | −7.48442e8 | + | 1.06889e9i | −1.19326 | + | 1.70416i | ||||
\(857\) | 2.93138e8 | + | 2.93138e8i | 0.465725 | + | 0.465725i | 0.900526 | − | 0.434801i | \(-0.143181\pi\) |
−0.434801 | + | 0.900526i | \(0.643181\pi\) | |||||||
\(858\) | 679513. | + | 3.85371e6i | 0.00107581 | + | 0.00610122i | ||||
\(859\) | 2.24096e8 | − | 6.00465e7i | 0.353554 | − | 0.0947344i | −0.0776709 | − | 0.996979i | \(-0.524748\pi\) |
0.431225 | + | 0.902245i | \(0.358082\pi\) | |||||||
\(860\) | 1.00756e9 | + | 8.45441e8i | 1.58407 | + | 1.32919i | ||||
\(861\) | 4.00649e8 | + | 6.93945e8i | 0.627704 | + | 1.08721i | ||||
\(862\) | 1.47113e9 | + | 8.49356e8i | 2.29683 | + | 1.32607i | ||||
\(863\) | 7.90207e7 | − | 2.87612e7i | 0.122944 | − | 0.0447481i | −0.279815 | − | 0.960054i | \(-0.590273\pi\) |
0.402760 | + | 0.915306i | \(0.368051\pi\) | |||||||
\(864\) | 5.77855e8 | + | 5.05558e7i | 0.895937 | + | 0.0783844i | ||||
\(865\) | −4.81491e8 | − | 1.29015e8i | −0.743944 | − | 0.199339i | ||||
\(866\) | −8.70966e8 | − | 1.24387e9i | −1.34106 | − | 1.91523i | ||||
\(867\) | −2.02711e7 | + | 1.14963e8i | −0.0311043 | + | 0.176401i | ||||
\(868\) | −1.12270e8 | − | 1.28326e9i | −0.171675 | − | 1.96225i | ||||
\(869\) | −9.79791e7 | + | 4.56884e7i | −0.149305 | + | 0.0696220i | ||||
\(870\) | 4.65398e7 | + | 9.98049e7i | 0.0706752 | + | 0.151563i | ||||
\(871\) | −7.14012e6 | + | 624679.i | −0.0108057 | + | 0.000945372i | ||||
\(872\) | 1.20619e8 | + | 2.12684e7i | 0.181914 | + | 0.0320764i | ||||
\(873\) | −5.22558e7 | + | 3.65899e7i | −0.0785402 | + | 0.0549945i | ||||
\(874\) | 1.12126e8 | − | 4.18459e8i | 0.167947 | − | 0.626785i | ||||
\(875\) | −7.67627e7 | + | 8.77402e8i | −0.114585 | + | 1.30971i | ||||
\(876\) | 2.89441e8 | + | 7.95232e8i | 0.430574 | + | 1.18299i | ||||
\(877\) | 2.40940e6 | − | 4.17321e6i | 0.00357200 | − | 0.00618688i | −0.864234 | − | 0.503090i | \(-0.832196\pi\) |
0.867806 | + | 0.496903i | \(0.165530\pi\) | |||||||
\(878\) | −4.14527e8 | + | 2.39327e8i | −0.612448 | + | 0.353597i | ||||
\(879\) | −3.93742e7 | + | 4.69244e7i | −0.0579756 | + | 0.0690927i | ||||
\(880\) | 7.02363e6 | + | 2.62125e7i | 0.0103066 | + | 0.0384646i | ||||
\(881\) | 6.26599e7 | − | 1.10486e7i | 0.0916351 | − | 0.0161577i | −0.127643 | − | 0.991820i | \(-0.540741\pi\) |
0.219278 | + | 0.975662i | \(0.429630\pi\) | |||||||
\(882\) | 2.09608e8 | − | 2.09608e8i | 0.305494 | − | 0.305494i | ||||
\(883\) | −3.92535e8 | − | 2.74856e8i | −0.570159 | − | 0.399229i | 0.252642 | − | 0.967560i | \(-0.418701\pi\) |
−0.822800 | + | 0.568330i | \(0.807590\pi\) | |||||||
\(884\) | 1.84699e7 | − | 1.54981e7i | 0.0267367 | − | 0.0224347i | ||||
\(885\) | −4.83685e8 | − | 1.76047e8i | −0.697803 | − | 0.253979i | ||||
\(886\) | −1.69120e8 | − | 7.88618e7i | −0.243160 | − | 0.113388i | ||||
\(887\) | − | 6.88010e8i | − | 0.985879i | −0.870064 | − | 0.492940i | \(-0.835922\pi\) | ||
0.870064 | − | 0.492940i | \(-0.164078\pi\) | |||||||
\(888\) | 2.67723e8 | + | 4.39614e8i | 0.382338 | + | 0.627816i | ||||
\(889\) | −4.06007e8 | −0.577867 | ||||||||
\(890\) | −3.71182e7 | + | 7.96002e7i | −0.0526522 | + | 0.112913i | ||||
\(891\) | 8.15501e6 | − | 2.24057e7i | 0.0115290 | − | 0.0316756i | ||||
\(892\) | −1.17610e9 | − | 1.40162e9i | −1.65710 | − | 1.97486i | ||||
\(893\) | −3.47565e7 | + | 4.96374e7i | −0.0488070 | + | 0.0697036i | ||||
\(894\) | 7.92347e8 | + | 7.92347e8i | 1.10893 | + | 1.10893i | ||||
\(895\) | −1.26938e8 | − | 7.19899e8i | −0.177060 | − | 1.00416i | ||||
\(896\) | 1.44256e9 | − | 3.86533e8i | 2.00544 | − | 0.537357i | ||||
\(897\) | 3.16712e6 | + | 2.65753e6i | 0.00438821 | + | 0.00368215i | ||||
\(898\) | −5.93005e8 | − | 1.02712e9i | −0.818898 | − | 1.41837i | ||||
\(899\) | 1.12034e8 | + | 6.46831e7i | 0.154196 | + | 0.0890250i | ||||
\(900\) | 1.88092e8 | − | 6.84600e7i | 0.258014 | − | 0.0939094i | ||||
\(901\) | 2.91702e8 | + | 2.55206e7i | 0.398809 | + | 0.0348913i | ||||
\(902\) | −5.75158e8 | − | 1.54113e8i | −0.783731 | − | 0.210000i | ||||
\(903\) | −4.87964e8 | − | 6.96884e8i | −0.662711 | − | 0.946449i | ||||
\(904\) | −9.38478e7 | + | 5.32237e8i | −0.127034 | + | 0.720444i | ||||
\(905\) | 7.50523e7 | + | 8.57852e8i | 0.101255 | + | 1.15736i | ||||
\(906\) | −2.21364e8 | + | 1.03224e8i | −0.297661 | + | 0.138802i | ||||
\(907\) | −5.65690e8 | − | 1.21313e9i | −0.758153 | − | 1.62586i | −0.779745 | − | 0.626097i | \(-0.784651\pi\) |
0.0215919 | − | 0.999767i | \(-0.493127\pi\) | |||||||
\(908\) | −4.69045e8 | + | 4.10361e7i | −0.626552 | + | 0.0548162i | ||||
\(909\) | 4.43479e8 | + | 7.81974e7i | 0.590448 | + | 0.104112i | ||||
\(910\) | −1.89872e7 | + | 1.32950e7i | −0.0251963 | + | 0.0176427i | ||||
\(911\) | −1.78430e8 | + | 6.65908e8i | −0.236000 | + | 0.880764i | 0.741696 | + | 0.670737i | \(0.234022\pi\) |
−0.977696 | + | 0.210027i | \(0.932645\pi\) | |||||||
\(912\) | −5.44948e6 | + | 6.22878e7i | −0.00718407 | + | 0.0821143i | ||||
\(913\) | 7.83252e7 | + | 2.15197e8i | 0.102917 | + | 0.282763i | ||||
\(914\) | 5.16018e8 | − | 8.93770e8i | 0.675813 | − | 1.17054i | ||||
\(915\) | −5.88557e8 | + | 3.39804e8i | −0.768291 | + | 0.443573i | ||||
\(916\) | −8.77746e8 | + | 1.04606e9i | −1.14204 | + | 1.36103i | ||||
\(917\) | −3.17545e8 | − | 1.18509e9i | −0.411810 | − | 1.53690i | ||||
\(918\) | −1.45043e9 | + | 2.55750e8i | −1.87486 | + | 0.330588i | ||||
\(919\) | 9.49746e8 | − | 9.49746e8i | 1.22366 | − | 1.22366i | 0.257340 | − | 0.966321i | \(-0.417154\pi\) |
0.966321 | − | 0.257340i | \(-0.0828461\pi\) | |||||||
\(920\) | 2.86293e8 | + | 2.00464e8i | 0.367660 | + | 0.257439i | ||||
\(921\) | −5.56643e8 | + | 4.67079e8i | −0.712521 | + | 0.597876i | ||||
\(922\) | 2.02901e9 | + | 7.38501e8i | 2.58876 | + | 0.942233i | ||||
\(923\) | −2.03692e7 | − | 9.49829e6i | −0.0259041 | − | 0.0120793i | ||||
\(924\) | − | 3.30641e8i | − | 0.419122i | ||||||
\(925\) | −1.88887e8 | − | 1.25775e8i | −0.238658 | − | 0.158917i | ||||
\(926\) | 8.76511e8 | 1.10389 | ||||||||
\(927\) | 1.97741e8 | − | 4.24057e8i | 0.248232 | − | 0.532335i | ||||
\(928\) | −4.39309e7 | + | 1.20699e8i | −0.0549700 | + | 0.151029i | ||||
\(929\) | 8.47965e8 | + | 1.01056e9i | 1.05762 | + | 1.26043i | 0.964306 | + | 0.264789i | \(0.0853022\pi\) |
0.0933159 | + | 0.995637i | \(0.470253\pi\) | |||||||
\(930\) | 4.05349e8 | − | 5.78899e8i | 0.503942 | − | 0.719704i | ||||
\(931\) | −2.20752e8 | − | 2.20752e8i | −0.273562 | − | 0.273562i | ||||
\(932\) | −3.40596e8 | − | 1.93162e9i | −0.420719 | − | 2.38601i | ||||
\(933\) | −9.73243e8 | + | 2.60780e8i | −1.19833 | + | 0.321092i | ||||
\(934\) | 4.77400e8 | + | 4.00586e8i | 0.585925 | + | 0.491649i | ||||
\(935\) | 1.22050e8 | + | 2.11396e8i | 0.149314 | + | 0.258620i | ||||
\(936\) | 8.31121e6 | + | 4.79848e6i | 0.0101353 | + | 0.00585162i | ||||
\(937\) | −6.04971e8 | + | 2.20192e8i | −0.735387 | + | 0.267659i | −0.682443 | − | 0.730938i | \(-0.739083\pi\) |
−0.0529438 | + | 0.998597i | \(0.516860\pi\) | |||||||
\(938\) | 9.61684e8 | + | 8.41364e7i | 1.16526 | + | 0.101947i | ||||
\(939\) | −4.79902e8 | − | 1.28589e8i | −0.579637 | − | 0.155313i | ||||
\(940\) | −6.90692e7 | − | 9.86410e7i | −0.0831574 | − | 0.118761i | ||||
\(941\) | −4.45402e7 | + | 2.52600e8i | −0.0534543 | + | 0.303155i | −0.999800 | − | 0.0200017i | \(-0.993633\pi\) |
0.946346 | + | 0.323156i | \(0.104744\pi\) | |||||||
\(942\) | 9.91648e7 | + | 1.13346e9i | 0.118633 | + | 1.35598i | ||||
\(943\) | −5.70168e8 | + | 2.65874e8i | −0.679935 | + | 0.317059i | ||||
\(944\) | 7.16204e7 | + | 1.53590e8i | 0.0851374 | + | 0.182578i | ||||
\(945\) | 8.84868e8 | − | 7.74159e7i | 1.04853 | − | 0.0917349i | ||||
\(946\) | 6.22582e8 | + | 1.09778e8i | 0.735399 | + | 0.129671i | ||||
\(947\) | −9.61697e8 | + | 6.73387e8i | −1.13237 | + | 0.792894i | −0.980696 | − | 0.195537i | \(-0.937355\pi\) |
−0.151674 | + | 0.988431i | \(0.548466\pi\) | |||||||
\(948\) | 1.28114e8 | − | 4.78127e8i | 0.150373 | − | 0.561200i | ||||
\(949\) | 1.55911e6 | − | 1.78207e7i | 0.00182422 | − | 0.0208510i | ||||
\(950\) | −1.14929e8 | − | 3.15766e8i | −0.134048 | − | 0.368294i | ||||
\(951\) | 1.09350e8 | − | 1.89400e8i | 0.127139 | − | 0.220210i | ||||
\(952\) | −1.14171e9 | + | 6.59167e8i | −1.32326 | + | 0.763985i | ||||
\(953\) | −3.22460e8 | + | 3.84293e8i | −0.372561 | + | 0.444000i | −0.919451 | − | 0.393203i | \(-0.871367\pi\) |
0.546891 | + | 0.837204i | \(0.315811\pi\) | |||||||
\(954\) | 7.43065e7 | + | 2.77315e8i | 0.0855818 | + | 0.319396i | ||||
\(955\) | −4.12128e8 | + | 7.26693e7i | −0.473175 | + | 0.0834336i | ||||
\(956\) | −4.67984e8 | + | 4.67984e8i | −0.535620 | + | 0.535620i | ||||
\(957\) | 2.72002e7 | + | 1.90458e7i | 0.0310339 | + | 0.0217302i | ||||
\(958\) | 4.41779e8 | − | 3.70696e8i | 0.502468 | − | 0.421621i | ||||
\(959\) | −1.36546e9 | − | 4.96988e8i | −1.54819 | − | 0.563495i | ||||
\(960\) | 7.02828e8 | + | 3.27734e8i | 0.794393 | + | 0.370431i | ||||
\(961\) | 5.73041e7i | 0.0645677i | ||||||||
\(962\) | −2.96020e6 | − | 2.66372e7i | −0.00332503 | − | 0.0299202i | ||||
\(963\) | −9.44074e8 | −1.05713 | ||||||||
\(964\) | −2.34597e7 | + | 5.03094e7i | −0.0261873 | + | 0.0561588i | ||||
\(965\) | 3.96839e8 | − | 1.09031e9i | 0.441603 | − | 1.21330i | ||||
\(966\) | −3.57936e8 | − | 4.26571e8i | −0.397076 | − | 0.473217i | ||||
\(967\) | 5.49871e8 | − | 7.85297e8i | 0.608109 | − | 0.868470i | −0.390532 | − | 0.920589i | \(-0.627709\pi\) |
0.998641 | + | 0.0521196i | \(0.0165977\pi\) | |||||||
\(968\) | −6.47479e8 | − | 6.47479e8i | −0.713838 | − | 0.713838i | ||||
\(969\) | 9.76630e7 | + | 5.53874e8i | 0.107339 | + | 0.608751i | ||||
\(970\) | −2.05568e8 | + | 5.50819e7i | −0.225238 | + | 0.0603523i | ||||
\(971\) | 1.38579e8 | + | 1.16282e8i | 0.151370 | + | 0.127015i | 0.715328 | − | 0.698789i | \(-0.246277\pi\) |
−0.563958 | + | 0.825804i | \(0.690722\pi\) | |||||||
\(972\) | −7.41667e8 | − | 1.28461e9i | −0.807626 | − | 1.39885i | ||||
\(973\) | 1.44204e9 | + | 8.32564e8i | 1.56545 | + | 0.903814i | ||||
\(974\) | 2.06290e9 | − | 7.50835e8i | 2.23255 | − | 0.812583i | ||||
\(975\) | 3.19466e6 | + | 279497.i | 0.00344676 | + | 0.000301553i | ||||
\(976\) | 2.16129e8 | + | 5.79117e7i | 0.232468 | + | 0.0622897i | ||||
\(977\) | −3.58015e8 | − | 5.11299e8i | −0.383900 | − | 0.548265i | 0.579971 | − | 0.814637i | \(-0.303064\pi\) |
−0.963870 | + | 0.266372i | \(0.914175\pi\) | |||||||
\(978\) | 2.98743e8 | − | 1.69426e9i | 0.319361 | − | 1.81119i | ||||
\(979\) | 2.30816e6 | + | 2.63824e7i | 0.00245990 | + | 0.0281168i | ||||
\(980\) | 5.62268e8 | − | 2.62190e8i | 0.597400 | − | 0.278572i | ||||
\(981\) | 3.74501e7 | + | 8.03119e7i | 0.0396685 | + | 0.0850693i | ||||
\(982\) | −9.20385e8 | + | 8.05233e7i | −0.971930 | + | 0.0850329i | ||||
\(983\) | −3.26461e8 | − | 5.75640e7i | −0.343694 | − | 0.0606024i | −0.000862776 | − | 1.00000i | \(-0.500275\pi\) |
−0.342831 | + | 0.939397i | \(0.611386\pi\) | |||||||
\(984\) | 9.06646e8 | − | 6.34840e8i | 0.951596 | − | 0.666315i | ||||
\(985\) | 3.84947e8 | − | 1.43664e9i | 0.402803 | − | 1.50328i | ||||
\(986\) | 2.84240e7 | − | 3.24887e8i | 0.0296520 | − | 0.338924i | ||||
\(987\) | 2.66394e7 | + | 7.31913e7i | 0.0277060 | + | 0.0761216i | ||||
\(988\) | 1.24483e7 | − | 2.15612e7i | 0.0129075 | − | 0.0223564i | ||||
\(989\) | 5.78441e8 | − | 3.33963e8i | 0.597958 | − | 0.345231i | ||||
\(990\) | −1.53840e8 | + | 1.83339e8i | −0.158549 | + | 0.188951i | ||||
\(991\) | −3.12709e8 | − | 1.16704e9i | −0.321306 | − | 1.19913i | −0.917973 | − | 0.396642i | \(-0.870175\pi\) |
0.596667 | − | 0.802489i | \(-0.296491\pi\) | |||||||
\(992\) | 8.11767e8 | − | 1.43136e8i | 0.831565 | − | 0.146627i | ||||
\(993\) | 9.14434e7 | − | 9.14434e7i | 0.0933909 | − | 0.0933909i | ||||
\(994\) | 2.47964e9 | + | 1.73626e9i | 2.52481 | + | 1.76789i | ||||
\(995\) | −6.54515e8 | + | 5.49203e8i | −0.664431 | + | 0.557524i | ||||
\(996\) | −9.85320e8 | − | 3.58627e8i | −0.997239 | − | 0.362965i | ||||
\(997\) | −8.07231e8 | − | 3.76418e8i | −0.814540 | − | 0.379826i | −0.0297262 | − | 0.999558i | \(-0.509464\pi\) |
−0.784814 | + | 0.619732i | \(0.787241\pi\) | |||||||
\(998\) | 3.07735e8i | 0.309588i | ||||||||
\(999\) | −4.12143e8 | + | 9.40728e8i | −0.413381 | + | 0.943555i |
(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 | 37.7.i.a.5.2 | ✓ | 216 | |
37.15 | odd | 36 | inner | 37.7.i.a.15.2 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.7.i.a.5.2 | ✓ | 216 | 1.1 | even | 1 | trivial | |
37.7.i.a.15.2 | yes | 216 | 37.15 | odd | 36 | inner |