Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 13.6 | ||
Character | \(\chi\) | \(=\) | 69.13 |
Dual form | 69.4.e.a.16.6 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.90770 | + | 3.35566i | 1.02803 | + | 1.18641i | 0.982273 | + | 0.187454i | \(0.0600234\pi\) |
0.0457535 | + | 0.998953i | \(0.485431\pi\) | |||||||
\(3\) | 2.52376 | + | 1.62192i | 0.485698 | + | 0.312139i | ||||
\(4\) | −1.66725 | + | 11.5960i | −0.208406 | + | 1.44949i | ||||
\(5\) | −1.16276 | + | 2.54608i | −0.104000 | + | 0.227729i | −0.954477 | − | 0.298283i | \(-0.903586\pi\) |
0.850477 | + | 0.526012i | \(0.176313\pi\) | |||||||
\(6\) | 1.89571 | + | 13.1850i | 0.128987 | + | 0.897123i | ||||
\(7\) | −5.53916 | − | 1.62644i | −0.299086 | − | 0.0878197i | 0.128746 | − | 0.991678i | \(-0.458905\pi\) |
−0.427833 | + | 0.903858i | \(0.640723\pi\) | |||||||
\(8\) | −13.8774 | + | 8.91848i | −0.613302 | + | 0.394145i | ||||
\(9\) | 3.73874 | + | 8.18669i | 0.138472 | + | 0.303211i | ||||
\(10\) | −11.9247 | + | 3.50142i | −0.377093 | + | 0.110725i | ||||
\(11\) | 15.5002 | − | 17.8882i | 0.424862 | − | 0.490317i | −0.502450 | − | 0.864606i | \(-0.667568\pi\) |
0.927312 | + | 0.374289i | \(0.122113\pi\) | |||||||
\(12\) | −23.0155 | + | 26.5613i | −0.553666 | + | 0.638965i | ||||
\(13\) | 6.20992 | − | 1.82340i | 0.132486 | − | 0.0389015i | −0.214817 | − | 0.976654i | \(-0.568916\pi\) |
0.347303 | + | 0.937753i | \(0.387097\pi\) | |||||||
\(14\) | −10.6484 | − | 23.3168i | −0.203279 | − | 0.445119i | ||||
\(15\) | −7.06407 | + | 4.53980i | −0.121596 | + | 0.0781448i | ||||
\(16\) | 19.6464 | + | 5.76869i | 0.306974 | + | 0.0901358i | ||||
\(17\) | −9.27341 | − | 64.4980i | −0.132302 | − | 0.920180i | −0.942543 | − | 0.334084i | \(-0.891573\pi\) |
0.810242 | − | 0.586096i | \(-0.199336\pi\) | |||||||
\(18\) | −16.6007 | + | 36.3504i | −0.217378 | + | 0.475992i | ||||
\(19\) | 1.55259 | − | 10.7985i | 0.0187468 | − | 0.130387i | −0.978299 | − | 0.207199i | \(-0.933565\pi\) |
0.997046 | + | 0.0768124i | \(0.0244743\pi\) | |||||||
\(20\) | −27.5856 | − | 17.7282i | −0.308417 | − | 0.198207i | ||||
\(21\) | −11.3415 | − | 13.0888i | −0.117854 | − | 0.136010i | ||||
\(22\) | 105.097 | 1.01848 | ||||||||
\(23\) | −106.470 | − | 28.8284i | −0.965243 | − | 0.261354i | ||||
\(24\) | −49.4884 | −0.420907 | ||||||||
\(25\) | 76.7271 | + | 88.5477i | 0.613816 | + | 0.708382i | ||||
\(26\) | 24.1753 | + | 15.5365i | 0.182353 | + | 0.117191i | ||||
\(27\) | −3.84250 | + | 26.7252i | −0.0273885 | + | 0.190491i | ||||
\(28\) | 28.0953 | − | 61.5201i | 0.189625 | − | 0.415222i | ||||
\(29\) | −9.49047 | − | 66.0077i | −0.0607702 | − | 0.422666i | −0.997383 | − | 0.0722998i | \(-0.976966\pi\) |
0.936613 | − | 0.350366i | \(-0.113943\pi\) | |||||||
\(30\) | −35.7742 | − | 10.5043i | −0.217715 | − | 0.0639269i | ||||
\(31\) | 138.226 | − | 88.8322i | 0.800840 | − | 0.514669i | −0.0750497 | − | 0.997180i | \(-0.523912\pi\) |
0.875890 | + | 0.482511i | \(0.160275\pi\) | |||||||
\(32\) | 92.5898 | + | 202.743i | 0.511491 | + | 1.12001i | ||||
\(33\) | 68.1320 | − | 20.0054i | 0.359402 | − | 0.105530i | ||||
\(34\) | 189.469 | − | 218.659i | 0.955697 | − | 1.10293i | ||||
\(35\) | 10.5818 | − | 12.2120i | 0.0511041 | − | 0.0589773i | ||||
\(36\) | −101.166 | + | 29.7050i | −0.468360 | + | 0.137523i | ||||
\(37\) | −46.3534 | − | 101.500i | −0.205958 | − | 0.450985i | 0.778261 | − | 0.627941i | \(-0.216102\pi\) |
−0.984219 | + | 0.176956i | \(0.943375\pi\) | |||||||
\(38\) | 40.7506 | − | 26.1888i | 0.173964 | − | 0.111800i | ||||
\(39\) | 18.6298 | + | 5.47019i | 0.0764910 | + | 0.0224598i | ||||
\(40\) | −6.57111 | − | 45.7031i | −0.0259746 | − | 0.180657i | ||||
\(41\) | −75.1987 | + | 164.662i | −0.286441 | + | 0.627218i | −0.997082 | − | 0.0763368i | \(-0.975678\pi\) |
0.710641 | + | 0.703554i | \(0.248405\pi\) | |||||||
\(42\) | 10.9439 | − | 76.1168i | 0.0402068 | − | 0.279645i | ||||
\(43\) | −59.5114 | − | 38.2457i | −0.211056 | − | 0.135637i | 0.430842 | − | 0.902427i | \(-0.358216\pi\) |
−0.641898 | + | 0.766790i | \(0.721853\pi\) | |||||||
\(44\) | 181.588 | + | 209.563i | 0.622168 | + | 0.718020i | ||||
\(45\) | −25.1912 | −0.0834508 | ||||||||
\(46\) | −212.845 | − | 441.103i | −0.682224 | − | 1.41385i | ||||
\(47\) | −145.518 | −0.451618 | −0.225809 | − | 0.974172i | \(-0.572502\pi\) | ||||
−0.225809 | + | 0.974172i | \(0.572502\pi\) | |||||||
\(48\) | 40.2263 | + | 46.4237i | 0.120962 | + | 0.139597i | ||||
\(49\) | −260.513 | − | 167.422i | −0.759513 | − | 0.488109i | ||||
\(50\) | −74.0373 | + | 514.940i | −0.209409 | + | 1.45647i | ||||
\(51\) | 81.2068 | − | 177.818i | 0.222965 | − | 0.488226i | ||||
\(52\) | 10.7906 | + | 75.0500i | 0.0287766 | + | 0.200145i | ||||
\(53\) | −445.241 | − | 130.734i | −1.15393 | − | 0.338826i | −0.351862 | − | 0.936052i | \(-0.614451\pi\) |
−0.802073 | + | 0.597226i | \(0.796269\pi\) | |||||||
\(54\) | −100.854 | + | 64.8146i | −0.254156 | + | 0.163336i | ||||
\(55\) | 27.5218 | + | 60.2643i | 0.0674734 | + | 0.147746i | ||||
\(56\) | 91.3747 | − | 26.8300i | 0.218044 | − | 0.0640235i | ||||
\(57\) | 21.4327 | − | 24.7347i | 0.0498041 | − | 0.0574770i | ||||
\(58\) | 193.904 | − | 223.777i | 0.438981 | − | 0.506611i | ||||
\(59\) | −704.338 | + | 206.812i | −1.55419 | + | 0.456350i | −0.942349 | − | 0.334633i | \(-0.891388\pi\) |
−0.611838 | + | 0.790983i | \(0.709569\pi\) | |||||||
\(60\) | −40.8658 | − | 89.4836i | −0.0879291 | − | 0.192538i | ||||
\(61\) | −82.1464 | + | 52.7923i | −0.172422 | + | 0.110809i | −0.624006 | − | 0.781420i | \(-0.714496\pi\) |
0.451583 | + | 0.892229i | \(0.350859\pi\) | |||||||
\(62\) | 700.009 | + | 205.541i | 1.43389 | + | 0.421029i | ||||
\(63\) | −7.39426 | − | 51.4282i | −0.0147871 | − | 0.102847i | ||||
\(64\) | −343.068 | + | 751.214i | −0.670055 | + | 1.46721i | ||||
\(65\) | −2.57811 | + | 17.9311i | −0.00491962 | + | 0.0342167i | ||||
\(66\) | 265.239 | + | 170.458i | 0.494676 | + | 0.317909i | ||||
\(67\) | 659.744 | + | 761.385i | 1.20299 | + | 1.38833i | 0.900317 | + | 0.435235i | \(0.143335\pi\) |
0.302677 | + | 0.953093i | \(0.402120\pi\) | |||||||
\(68\) | 763.376 | 1.36137 | ||||||||
\(69\) | −221.948 | − | 245.443i | −0.387238 | − | 0.428229i | ||||
\(70\) | 71.7479 | 0.122507 | ||||||||
\(71\) | 75.1170 | + | 86.6896i | 0.125560 | + | 0.144904i | 0.815049 | − | 0.579393i | \(-0.196710\pi\) |
−0.689489 | + | 0.724296i | \(0.742165\pi\) | |||||||
\(72\) | −124.897 | − | 80.2663i | −0.204434 | − | 0.131382i | ||||
\(73\) | −104.432 | + | 726.343i | −0.167437 | + | 1.16455i | 0.716721 | + | 0.697360i | \(0.245642\pi\) |
−0.884158 | + | 0.467188i | \(0.845267\pi\) | |||||||
\(74\) | 205.817 | − | 450.677i | 0.323321 | − | 0.707975i | ||||
\(75\) | 50.0232 | + | 347.919i | 0.0770157 | + | 0.535656i | ||||
\(76\) | 122.630 | + | 36.0075i | 0.185088 | + | 0.0543467i | ||||
\(77\) | −114.952 | + | 73.8752i | −0.170130 | + | 0.109336i | ||||
\(78\) | 35.8136 | + | 78.4209i | 0.0519884 | + | 0.113839i | ||||
\(79\) | −161.172 | + | 47.3245i | −0.229536 | + | 0.0673977i | −0.394478 | − | 0.918906i | \(-0.629074\pi\) |
0.164942 | + | 0.986303i | \(0.447256\pi\) | |||||||
\(80\) | −37.5315 | + | 43.3137i | −0.0524519 | + | 0.0605327i | ||||
\(81\) | −53.0437 | + | 61.2157i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −771.206 | + | 226.447i | −1.03860 | + | 0.304962i | ||||
\(83\) | −604.515 | − | 1323.70i | −0.799448 | − | 1.75055i | −0.647367 | − | 0.762179i | \(-0.724130\pi\) |
−0.152081 | − | 0.988368i | \(-0.548598\pi\) | |||||||
\(84\) | 170.687 | − | 109.694i | 0.221708 | − | 0.142483i | ||||
\(85\) | 175.000 | + | 51.3846i | 0.223311 | + | 0.0655699i | ||||
\(86\) | −44.7017 | − | 310.907i | −0.0560501 | − | 0.389837i | ||||
\(87\) | 83.1077 | − | 181.980i | 0.102415 | − | 0.224257i | ||||
\(88\) | −55.5674 | + | 386.480i | −0.0673126 | + | 0.468169i | ||||
\(89\) | −20.6227 | − | 13.2534i | −0.0245618 | − | 0.0157849i | 0.528302 | − | 0.849056i | \(-0.322829\pi\) |
−0.552864 | + | 0.833271i | \(0.686465\pi\) | |||||||
\(90\) | −73.2485 | − | 84.5333i | −0.0857897 | − | 0.0990065i | ||||
\(91\) | −37.3634 | −0.0430412 | ||||||||
\(92\) | 511.805 | − | 1186.56i | 0.579993 | − | 1.34465i | ||||
\(93\) | 492.927 | 0.549615 | ||||||||
\(94\) | −423.124 | − | 488.311i | −0.464275 | − | 0.535802i | ||||
\(95\) | 25.6886 | + | 16.5091i | 0.0277431 | + | 0.0178294i | ||||
\(96\) | −95.1596 | + | 661.849i | −0.101169 | + | 0.703643i | ||||
\(97\) | 96.8971 | − | 212.175i | 0.101427 | − | 0.222094i | −0.852115 | − | 0.523355i | \(-0.824680\pi\) |
0.953542 | + | 0.301261i | \(0.0974075\pi\) | |||||||
\(98\) | −195.683 | − | 1361.01i | −0.201704 | − | 1.40288i | ||||
\(99\) | 204.396 | + | 60.0161i | 0.207501 | + | 0.0609277i | ||||
\(100\) | −1154.72 | + | 742.092i | −1.15472 | + | 0.742092i | ||||
\(101\) | −152.014 | − | 332.865i | −0.149762 | − | 0.327933i | 0.819851 | − | 0.572577i | \(-0.194056\pi\) |
−0.969613 | + | 0.244644i | \(0.921329\pi\) | |||||||
\(102\) | 832.823 | − | 244.539i | 0.808449 | − | 0.237382i | ||||
\(103\) | 1031.95 | − | 1190.93i | 0.987193 | − | 1.13928i | −0.00305960 | − | 0.999995i | \(-0.500974\pi\) |
0.990252 | − | 0.139286i | \(-0.0444806\pi\) | |||||||
\(104\) | −69.9158 | + | 80.6872i | −0.0659213 | + | 0.0760772i | ||||
\(105\) | 46.5127 | − | 13.6574i | 0.0432303 | − | 0.0126935i | ||||
\(106\) | −855.925 | − | 1874.21i | −0.784291 | − | 1.71736i | ||||
\(107\) | 1570.95 | − | 1009.59i | 1.41934 | − | 0.912157i | 0.419353 | − | 0.907823i | \(-0.362257\pi\) |
0.999991 | − | 0.00433404i | \(-0.00137957\pi\) | |||||||
\(108\) | −303.497 | − | 89.1149i | −0.270408 | − | 0.0793989i | ||||
\(109\) | 219.174 | + | 1524.39i | 0.192597 | + | 1.33954i | 0.825102 | + | 0.564984i | \(0.191118\pi\) |
−0.632505 | + | 0.774557i | \(0.717973\pi\) | |||||||
\(110\) | −122.202 | + | 267.584i | −0.105923 | + | 0.231938i | ||||
\(111\) | 47.6399 | − | 331.343i | 0.0407367 | − | 0.283330i | ||||
\(112\) | −99.4418 | − | 63.9074i | −0.0838962 | − | 0.0539168i | ||||
\(113\) | 443.430 | + | 511.745i | 0.369154 | + | 0.426026i | 0.909686 | − | 0.415297i | \(-0.136322\pi\) |
−0.540532 | + | 0.841323i | \(0.681777\pi\) | |||||||
\(114\) | 145.321 | 0.119391 | ||||||||
\(115\) | 197.199 | − | 237.562i | 0.159903 | − | 0.192633i | ||||
\(116\) | 781.245 | 0.625317 | ||||||||
\(117\) | 38.1448 | + | 44.0215i | 0.0301410 | + | 0.0347845i | ||||
\(118\) | −2742.00 | − | 1762.17i | −2.13916 | − | 1.37476i | ||||
\(119\) | −53.5354 | + | 372.347i | −0.0412402 | + | 0.286832i | ||||
\(120\) | 57.5430 | − | 126.002i | 0.0437744 | − | 0.0958526i | ||||
\(121\) | 109.690 | + | 762.912i | 0.0824119 | + | 0.573187i | ||||
\(122\) | −416.010 | − | 122.152i | −0.308720 | − | 0.0906483i | ||||
\(123\) | −456.853 | + | 293.602i | −0.334903 | + | 0.215229i | ||||
\(124\) | 799.638 | + | 1750.96i | 0.579109 | + | 1.26807i | ||||
\(125\) | −650.370 | + | 190.966i | −0.465367 | + | 0.136644i | ||||
\(126\) | 151.075 | − | 174.350i | 0.106816 | − | 0.123273i | ||||
\(127\) | −719.068 | + | 829.849i | −0.502417 | + | 0.579820i | −0.949141 | − | 0.314852i | \(-0.898045\pi\) |
0.446724 | + | 0.894672i | \(0.352591\pi\) | |||||||
\(128\) | −1807.51 | + | 530.732i | −1.24814 | + | 0.366488i | ||||
\(129\) | −88.1610 | − | 193.046i | −0.0601717 | − | 0.131758i | ||||
\(130\) | −67.6673 | + | 43.4871i | −0.0456524 | + | 0.0293390i | ||||
\(131\) | 2291.28 | + | 672.780i | 1.52817 | + | 0.448710i | 0.934489 | − | 0.355992i | \(-0.115857\pi\) |
0.593678 | + | 0.804703i | \(0.297675\pi\) | |||||||
\(132\) | 118.388 | + | 823.409i | 0.0780635 | + | 0.542944i | ||||
\(133\) | −26.1632 | + | 57.2895i | −0.0170574 | + | 0.0373506i | ||||
\(134\) | −636.616 | + | 4427.76i | −0.410412 | + | 2.85448i | ||||
\(135\) | −63.5766 | − | 40.8582i | −0.0405319 | − | 0.0260483i | ||||
\(136\) | 703.915 | + | 812.361i | 0.443825 | + | 0.512202i | ||||
\(137\) | 1666.05 | 1.03898 | 0.519490 | − | 0.854476i | \(-0.326122\pi\) | ||||
0.519490 | + | 0.854476i | \(0.326122\pi\) | |||||||
\(138\) | 178.264 | − | 1458.46i | 0.109963 | − | 0.899653i | ||||
\(139\) | 2649.91 | 1.61700 | 0.808499 | − | 0.588497i | \(-0.200280\pi\) | ||||
0.808499 | + | 0.588497i | \(0.200280\pi\) | |||||||
\(140\) | 123.967 | + | 143.066i | 0.0748368 | + | 0.0863663i | ||||
\(141\) | −367.253 | − | 236.019i | −0.219350 | − | 0.140968i | ||||
\(142\) | −72.4836 | + | 504.135i | −0.0428358 | + | 0.297930i | ||||
\(143\) | 63.6377 | − | 139.347i | 0.0372144 | − | 0.0814881i | ||||
\(144\) | 26.2260 | + | 182.406i | 0.0151771 | + | 0.105559i | ||||
\(145\) | 179.096 | + | 52.5874i | 0.102573 | + | 0.0301182i | ||||
\(146\) | −2741.02 | + | 1761.55i | −1.55376 | + | 0.998538i | ||||
\(147\) | −385.928 | − | 845.064i | −0.216536 | − | 0.474148i | ||||
\(148\) | 1254.27 | − | 368.286i | 0.696623 | − | 0.204547i | ||||
\(149\) | −1527.79 | + | 1763.16i | −0.840008 | + | 0.969421i | −0.999843 | − | 0.0177228i | \(-0.994358\pi\) |
0.159835 | + | 0.987144i | \(0.448904\pi\) | |||||||
\(150\) | −1022.05 | + | 1179.50i | −0.556331 | + | 0.642040i | ||||
\(151\) | 2434.63 | − | 714.872i | 1.31210 | − | 0.385268i | 0.450466 | − | 0.892794i | \(-0.351258\pi\) |
0.861637 | + | 0.507525i | \(0.169440\pi\) | |||||||
\(152\) | 74.7604 | + | 163.702i | 0.0398939 | + | 0.0873553i | ||||
\(153\) | 493.354 | − | 317.059i | 0.260688 | − | 0.167534i | ||||
\(154\) | −582.146 | − | 170.934i | −0.304615 | − | 0.0894430i | ||||
\(155\) | 65.4513 | + | 455.224i | 0.0339173 | + | 0.235900i | ||||
\(156\) | −94.4925 | + | 206.910i | −0.0484965 | + | 0.106193i | ||||
\(157\) | −264.554 | + | 1840.01i | −0.134482 | + | 0.935344i | 0.805129 | + | 0.593100i | \(0.202096\pi\) |
−0.939611 | + | 0.342244i | \(0.888813\pi\) | |||||||
\(158\) | −627.446 | − | 403.235i | −0.315930 | − | 0.203036i | ||||
\(159\) | −911.640 | − | 1052.09i | −0.454703 | − | 0.524755i | ||||
\(160\) | −623.861 | −0.308253 | ||||||||
\(161\) | 542.868 | + | 332.853i | 0.265739 | + | 0.162935i | ||||
\(162\) | −359.655 | −0.174427 | ||||||||
\(163\) | −1073.21 | − | 1238.55i | −0.515705 | − | 0.595155i | 0.436845 | − | 0.899537i | \(-0.356096\pi\) |
−0.952550 | + | 0.304381i | \(0.901550\pi\) | |||||||
\(164\) | −1784.04 | − | 1146.53i | −0.849452 | − | 0.545910i | ||||
\(165\) | −28.2856 | + | 196.731i | −0.0133457 | + | 0.0928211i | ||||
\(166\) | 2684.16 | − | 5877.48i | 1.25501 | − | 2.74808i | ||||
\(167\) | −562.130 | − | 3909.70i | −0.260473 | − | 1.81163i | −0.529295 | − | 0.848438i | \(-0.677544\pi\) |
0.268823 | − | 0.963190i | \(-0.413365\pi\) | |||||||
\(168\) | 274.124 | + | 80.4901i | 0.125888 | + | 0.0369640i | ||||
\(169\) | −1813.00 | + | 1165.14i | −0.825214 | + | 0.530333i | ||||
\(170\) | 336.418 | + | 736.652i | 0.151777 | + | 0.332345i | ||||
\(171\) | 94.2088 | − | 27.6622i | 0.0421306 | − | 0.0123706i | ||||
\(172\) | 542.715 | − | 626.326i | 0.240591 | − | 0.277657i | ||||
\(173\) | −763.272 | + | 880.863i | −0.335436 | + | 0.387114i | −0.898261 | − | 0.439462i | \(-0.855169\pi\) |
0.562825 | + | 0.826576i | \(0.309715\pi\) | |||||||
\(174\) | 852.317 | − | 250.263i | 0.371345 | − | 0.109037i | ||||
\(175\) | −280.985 | − | 615.272i | −0.121374 | − | 0.265773i | ||||
\(176\) | 407.713 | − | 262.022i | 0.174617 | − | 0.112219i | ||||
\(177\) | −2113.01 | − | 620.437i | −0.897310 | − | 0.263474i | ||||
\(178\) | −15.4906 | − | 107.740i | −0.00652287 | − | 0.0453676i | ||||
\(179\) | −552.228 | + | 1209.21i | −0.230589 | + | 0.504919i | −0.989191 | − | 0.146635i | \(-0.953156\pi\) |
0.758602 | + | 0.651555i | \(0.225883\pi\) | |||||||
\(180\) | 42.0000 | − | 292.116i | 0.0173916 | − | 0.120961i | ||||
\(181\) | −2014.26 | − | 1294.48i | −0.827174 | − | 0.531592i | 0.0572049 | − | 0.998362i | \(-0.481781\pi\) |
−0.884379 | + | 0.466770i | \(0.845418\pi\) | |||||||
\(182\) | −108.642 | − | 125.379i | −0.0442475 | − | 0.0510643i | ||||
\(183\) | −292.943 | −0.118333 | ||||||||
\(184\) | 1734.64 | − | 549.489i | 0.694996 | − | 0.220157i | ||||
\(185\) | 312.324 | 0.124122 | ||||||||
\(186\) | 1433.28 | + | 1654.10i | 0.565019 | + | 0.652066i | ||||
\(187\) | −1297.49 | − | 833.846i | −0.507390 | − | 0.326080i | ||||
\(188\) | 242.615 | − | 1687.42i | 0.0941197 | − | 0.654617i | ||||
\(189\) | 64.7512 | − | 141.785i | 0.0249204 | − | 0.0545681i | ||||
\(190\) | 19.2959 | + | 134.206i | 0.00736774 | + | 0.0512437i | ||||
\(191\) | 659.796 | + | 193.734i | 0.249954 | + | 0.0733930i | 0.404309 | − | 0.914622i | \(-0.367512\pi\) |
−0.154356 | + | 0.988015i | \(0.549330\pi\) | |||||||
\(192\) | −2084.23 | + | 1339.45i | −0.783419 | + | 0.503473i | ||||
\(193\) | 1052.91 | + | 2305.55i | 0.392695 | + | 0.859882i | 0.997959 | + | 0.0638570i | \(0.0203402\pi\) |
−0.605264 | + | 0.796025i | \(0.706933\pi\) | |||||||
\(194\) | 993.736 | − | 291.787i | 0.367763 | − | 0.107985i | ||||
\(195\) | −35.5895 | + | 41.0724i | −0.0130698 | + | 0.0150834i | ||||
\(196\) | 2375.75 | − | 2741.76i | 0.865799 | − | 0.999185i | ||||
\(197\) | 774.492 | − | 227.412i | 0.280103 | − | 0.0822457i | −0.138664 | − | 0.990340i | \(-0.544281\pi\) |
0.418767 | + | 0.908094i | \(0.362463\pi\) | |||||||
\(198\) | 392.928 | + | 860.393i | 0.141031 | + | 0.308815i | ||||
\(199\) | −1309.74 | + | 841.719i | −0.466558 | + | 0.299839i | −0.752718 | − | 0.658343i | \(-0.771258\pi\) |
0.286160 | + | 0.958182i | \(0.407621\pi\) | |||||||
\(200\) | −1854.49 | − | 544.526i | −0.655660 | − | 0.192519i | ||||
\(201\) | 430.128 | + | 2991.61i | 0.150940 | + | 1.04981i | ||||
\(202\) | 674.970 | − | 1477.98i | 0.235103 | − | 0.514803i | ||||
\(203\) | −54.7886 | + | 381.063i | −0.0189429 | + | 0.131751i | ||||
\(204\) | 1926.58 | + | 1238.14i | 0.661213 | + | 0.424936i | ||||
\(205\) | −331.806 | − | 382.924i | −0.113045 | − | 0.130461i | ||||
\(206\) | 6996.96 | 2.36651 | ||||||||
\(207\) | −162.055 | − | 979.421i | −0.0544136 | − | 0.328862i | ||||
\(208\) | 132.521 | 0.0441763 | ||||||||
\(209\) | −169.100 | − | 195.152i | −0.0559660 | − | 0.0645882i | ||||
\(210\) | 181.075 | + | 116.370i | 0.0595016 | + | 0.0382393i | ||||
\(211\) | 61.7652 | − | 429.586i | 0.0201521 | − | 0.140161i | −0.977261 | − | 0.212038i | \(-0.931990\pi\) |
0.997413 | + | 0.0718773i | \(0.0228990\pi\) | |||||||
\(212\) | 2258.32 | − | 4945.02i | 0.731612 | − | 1.60201i | ||||
\(213\) | 48.9734 | + | 340.618i | 0.0157540 | + | 0.109572i | ||||
\(214\) | 7955.71 | + | 2336.01i | 2.54131 | + | 0.746197i | ||||
\(215\) | 166.574 | − | 107.051i | 0.0528383 | − | 0.0339571i | ||||
\(216\) | −185.024 | − | 405.146i | −0.0582837 | − | 0.127624i | ||||
\(217\) | −910.134 | + | 267.239i | −0.284719 | + | 0.0836009i | ||||
\(218\) | −4478.04 | + | 5167.94i | −1.39124 | + | 1.60558i | ||||
\(219\) | −1441.63 | + | 1663.73i | −0.444825 | + | 0.513355i | ||||
\(220\) | −744.708 | + | 218.666i | −0.228219 | + | 0.0670112i | ||||
\(221\) | −175.193 | − | 383.618i | −0.0533246 | − | 0.116765i | ||||
\(222\) | 1250.40 | − | 803.581i | 0.378023 | − | 0.242941i | ||||
\(223\) | 345.656 | + | 101.494i | 0.103798 | + | 0.0304777i | 0.333219 | − | 0.942849i | \(-0.391865\pi\) |
−0.229421 | + | 0.973327i | \(0.573683\pi\) | |||||||
\(224\) | −183.119 | − | 1273.62i | −0.0546212 | − | 0.379899i | ||||
\(225\) | −438.051 | + | 959.197i | −0.129793 | + | 0.284207i | ||||
\(226\) | −427.885 | + | 2976.00i | −0.125940 | + | 0.875932i | ||||
\(227\) | −1868.36 | − | 1200.72i | −0.546288 | − | 0.351078i | 0.238206 | − | 0.971215i | \(-0.423441\pi\) |
−0.784494 | + | 0.620137i | \(0.787077\pi\) | |||||||
\(228\) | 251.088 | + | 289.772i | 0.0729331 | + | 0.0841692i | ||||
\(229\) | −3835.78 | −1.10688 | −0.553441 | − | 0.832889i | \(-0.686685\pi\) | ||||
−0.553441 | + | 0.832889i | \(0.686685\pi\) | |||||||
\(230\) | 1370.57 | − | 29.0261i | 0.392925 | − | 0.00832141i | ||||
\(231\) | −409.931 | −0.116760 | ||||||||
\(232\) | 720.392 | + | 831.377i | 0.203862 | + | 0.235270i | ||||
\(233\) | −320.183 | − | 205.769i | −0.0900254 | − | 0.0578558i | 0.494854 | − | 0.868976i | \(-0.335222\pi\) |
−0.584879 | + | 0.811121i | \(0.698858\pi\) | |||||||
\(234\) | −36.8076 | + | 256.003i | −0.0102829 | + | 0.0715188i | ||||
\(235\) | 169.202 | − | 370.502i | 0.0469683 | − | 0.102846i | ||||
\(236\) | −1223.88 | − | 8512.28i | −0.337576 | − | 2.34789i | ||||
\(237\) | −483.517 | − | 141.973i | −0.132522 | − | 0.0389121i | ||||
\(238\) | −1405.14 | + | 903.027i | −0.382695 | + | 0.245943i | ||||
\(239\) | −733.724 | − | 1606.63i | −0.198580 | − | 0.434830i | 0.783977 | − | 0.620790i | \(-0.213188\pi\) |
−0.982557 | + | 0.185960i | \(0.940461\pi\) | |||||||
\(240\) | −164.972 | + | 48.4401i | −0.0443704 | + | 0.0130283i | ||||
\(241\) | 145.033 | − | 167.377i | 0.0387651 | − | 0.0447373i | −0.736036 | − | 0.676942i | \(-0.763305\pi\) |
0.774801 | + | 0.632205i | \(0.217850\pi\) | |||||||
\(242\) | −2241.13 | + | 2586.40i | −0.595312 | + | 0.687026i | ||||
\(243\) | −233.157 | + | 68.4610i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | −475.219 | − | 1040.58i | −0.124683 | − | 0.273019i | ||||
\(245\) | 729.182 | − | 468.617i | 0.190146 | − | 0.122199i | ||||
\(246\) | −2313.62 | − | 679.340i | −0.599638 | − | 0.176070i | ||||
\(247\) | −10.0485 | − | 69.8889i | −0.00258855 | − | 0.0180037i | ||||
\(248\) | −1125.97 | + | 2465.52i | −0.288302 | + | 0.631294i | ||||
\(249\) | 621.293 | − | 4321.19i | 0.158124 | − | 1.09978i | ||||
\(250\) | −2531.90 | − | 1627.15i | −0.640525 | − | 0.411641i | ||||
\(251\) | 781.458 | + | 901.850i | 0.196515 | + | 0.226790i | 0.845451 | − | 0.534052i | \(-0.179331\pi\) |
−0.648937 | + | 0.760842i | \(0.724786\pi\) | |||||||
\(252\) | 608.687 | 0.152157 | ||||||||
\(253\) | −2166.00 | + | 1457.71i | −0.538241 | + | 0.362236i | ||||
\(254\) | −4875.53 | −1.20440 | ||||||||
\(255\) | 358.316 | + | 413.519i | 0.0879946 | + | 0.101551i | ||||
\(256\) | −1478.69 | − | 950.296i | −0.361008 | − | 0.232006i | ||||
\(257\) | 683.737 | − | 4755.50i | 0.165955 | − | 1.15424i | −0.721186 | − | 0.692741i | \(-0.756403\pi\) |
0.887141 | − | 0.461499i | \(-0.152688\pi\) | |||||||
\(258\) | 391.451 | − | 857.158i | 0.0944599 | − | 0.206838i | ||||
\(259\) | 91.6751 | + | 637.614i | 0.0219939 | + | 0.152971i | ||||
\(260\) | −203.630 | − | 59.7913i | −0.0485716 | − | 0.0142619i | ||||
\(261\) | 504.902 | − | 324.481i | 0.119742 | − | 0.0769535i | ||||
\(262\) | 4404.72 | + | 9645.00i | 1.03864 | + | 2.27431i | ||||
\(263\) | −1442.35 | + | 423.514i | −0.338173 | + | 0.0992965i | −0.446410 | − | 0.894829i | \(-0.647298\pi\) |
0.108237 | + | 0.994125i | \(0.465479\pi\) | |||||||
\(264\) | −767.079 | + | 885.257i | −0.178828 | + | 0.206378i | ||||
\(265\) | 850.567 | − | 981.607i | 0.197170 | − | 0.227546i | ||||
\(266\) | −268.319 | + | 78.7856i | −0.0618485 | + | 0.0181603i | ||||
\(267\) | −30.5507 | − | 66.8968i | −0.00700253 | − | 0.0153334i | ||||
\(268\) | −9928.94 | + | 6380.94i | −2.26308 | + | 1.45440i | ||||
\(269\) | 2986.72 | + | 876.981i | 0.676965 | + | 0.198775i | 0.602102 | − | 0.798419i | \(-0.294330\pi\) |
0.0748629 | + | 0.997194i | \(0.476148\pi\) | |||||||
\(270\) | −47.7553 | − | 332.145i | −0.0107640 | − | 0.0748656i | ||||
\(271\) | 3211.96 | − | 7033.21i | 0.719973 | − | 1.57652i | −0.0939695 | − | 0.995575i | \(-0.529956\pi\) |
0.813942 | − | 0.580946i | \(-0.197317\pi\) | |||||||
\(272\) | 189.880 | − | 1320.65i | 0.0423278 | − | 0.294397i | ||||
\(273\) | −94.2963 | − | 60.6005i | −0.0209050 | − | 0.0134348i | ||||
\(274\) | 4844.37 | + | 5590.71i | 1.06810 | + | 1.23265i | ||||
\(275\) | 2773.24 | 0.608119 | ||||||||
\(276\) | 3216.18 | − | 2164.49i | 0.701418 | − | 0.472054i | ||||
\(277\) | −1497.23 | −0.324765 | −0.162382 | − | 0.986728i | \(-0.551918\pi\) | ||||
−0.162382 | + | 0.986728i | \(0.551918\pi\) | |||||||
\(278\) | 7705.15 | + | 8892.22i | 1.66232 | + | 1.91842i | ||||
\(279\) | 1244.03 | + | 799.490i | 0.266947 | + | 0.171556i | ||||
\(280\) | −37.9351 | + | 263.844i | −0.00809662 | + | 0.0563133i | ||||
\(281\) | −3163.41 | + | 6926.89i | −0.671576 | + | 1.47055i | 0.199752 | + | 0.979846i | \(0.435986\pi\) |
−0.871328 | + | 0.490700i | \(0.836741\pi\) | |||||||
\(282\) | −275.861 | − | 1918.65i | −0.0582527 | − | 0.405156i | ||||
\(283\) | 4875.60 | + | 1431.60i | 1.02411 | + | 0.300707i | 0.750315 | − | 0.661080i | \(-0.229902\pi\) |
0.273798 | + | 0.961787i | \(0.411720\pi\) | |||||||
\(284\) | −1130.49 | + | 726.520i | −0.236204 | + | 0.151799i | ||||
\(285\) | 38.0555 | + | 83.3299i | 0.00790952 | + | 0.0173194i | ||||
\(286\) | 652.642 | − | 191.633i | 0.134935 | − | 0.0396206i | ||||
\(287\) | 684.351 | − | 789.784i | 0.140753 | − | 0.162437i | ||||
\(288\) | −1313.63 | + | 1516.01i | −0.268772 | + | 0.310179i | ||||
\(289\) | 639.997 | − | 187.920i | 0.130266 | − | 0.0382496i | ||||
\(290\) | 344.292 | + | 753.895i | 0.0697156 | + | 0.152656i | ||||
\(291\) | 588.676 | − | 378.319i | 0.118587 | − | 0.0762113i | ||||
\(292\) | −8248.52 | − | 2421.98i | −1.65311 | − | 0.485397i | ||||
\(293\) | 382.822 | + | 2662.58i | 0.0763300 | + | 0.530887i | 0.991730 | + | 0.128341i | \(0.0409653\pi\) |
−0.915400 | + | 0.402545i | \(0.868126\pi\) | |||||||
\(294\) | 1713.59 | − | 3752.23i | 0.339927 | − | 0.744336i | ||||
\(295\) | 292.413 | − | 2033.77i | 0.0577116 | − | 0.401393i | ||||
\(296\) | 1548.49 | + | 995.153i | 0.304068 | + | 0.195413i | ||||
\(297\) | 418.505 | + | 482.981i | 0.0817647 | + | 0.0943615i | ||||
\(298\) | −10358.9 | −2.01368 | ||||||||
\(299\) | −713.738 | + | 15.1156i | −0.138049 | + | 0.00292361i | ||||
\(300\) | −4117.85 | −0.792480 | ||||||||
\(301\) | 267.439 | + | 308.641i | 0.0512123 | + | 0.0591022i | ||||
\(302\) | 9478.05 | + | 6091.17i | 1.80596 | + | 1.16062i | ||||
\(303\) | 156.233 | − | 1086.63i | 0.0296217 | − | 0.206023i | ||||
\(304\) | 92.7960 | − | 203.195i | 0.0175073 | − | 0.0383356i | ||||
\(305\) | −38.8972 | − | 270.536i | −0.00730245 | − | 0.0507897i | ||||
\(306\) | 2498.47 | + | 733.617i | 0.466758 | + | 0.137053i | ||||
\(307\) | 1024.85 | − | 658.633i | 0.190526 | − | 0.122444i | −0.441900 | − | 0.897064i | \(-0.645695\pi\) |
0.632426 | + | 0.774621i | \(0.282059\pi\) | |||||||
\(308\) | −665.000 | − | 1456.15i | −0.123026 | − | 0.269389i | ||||
\(309\) | 4535.99 | − | 1331.89i | 0.835092 | − | 0.245205i | ||||
\(310\) | −1337.27 | + | 1543.29i | −0.245005 | + | 0.282751i | ||||
\(311\) | −2811.67 | + | 3244.85i | −0.512654 | + | 0.591634i | −0.951776 | − | 0.306793i | \(-0.900744\pi\) |
0.439122 | + | 0.898427i | \(0.355290\pi\) | |||||||
\(312\) | −307.319 | + | 90.2370i | −0.0557645 | + | 0.0163739i | ||||
\(313\) | −3537.03 | − | 7745.02i | −0.638738 | − | 1.39864i | −0.901074 | − | 0.433664i | \(-0.857220\pi\) |
0.262337 | − | 0.964976i | \(-0.415507\pi\) | |||||||
\(314\) | −6943.71 | + | 4462.45i | −1.24795 | + | 0.802008i | ||||
\(315\) | 139.538 | + | 40.9721i | 0.0249590 | + | 0.00732862i | ||||
\(316\) | −280.058 | − | 1947.85i | −0.0498561 | − | 0.346757i | ||||
\(317\) | 572.149 | − | 1252.83i | 0.101372 | − | 0.221975i | −0.852149 | − | 0.523299i | \(-0.824701\pi\) |
0.953522 | + | 0.301324i | \(0.0974285\pi\) | |||||||
\(318\) | 879.681 | − | 6118.31i | 0.155126 | − | 1.07892i | ||||
\(319\) | −1327.86 | − | 853.364i | −0.233059 | − | 0.149778i | ||||
\(320\) | −1513.75 | − | 1746.96i | −0.264441 | − | 0.305181i | ||||
\(321\) | 5602.19 | 0.974092 | ||||||||
\(322\) | 461.554 | + | 2789.52i | 0.0798802 | + | 0.482776i | ||||
\(323\) | −710.880 | −0.122459 | ||||||||
\(324\) | −621.418 | − | 717.154i | −0.106553 | − | 0.122969i | ||||
\(325\) | 637.927 | + | 409.971i | 0.108879 | + | 0.0699726i | ||||
\(326\) | 1035.58 | − | 7202.63i | 0.175937 | − | 1.22367i | ||||
\(327\) | −1919.30 | + | 4202.68i | −0.324579 | + | 0.710729i | ||||
\(328\) | −424.972 | − | 2955.75i | −0.0715401 | − | 0.497573i | ||||
\(329\) | 806.049 | + | 236.677i | 0.135073 | + | 0.0396609i | ||||
\(330\) | −742.409 | + | 477.117i | −0.123843 | + | 0.0795892i | ||||
\(331\) | 1520.36 | + | 3329.13i | 0.252467 | + | 0.552826i | 0.992851 | − | 0.119358i | \(-0.0380836\pi\) |
−0.740384 | + | 0.672184i | \(0.765356\pi\) | |||||||
\(332\) | 16357.5 | − | 4802.99i | 2.70402 | − | 0.793971i | ||||
\(333\) | 657.643 | − | 758.961i | 0.108224 | − | 0.124897i | ||||
\(334\) | 11485.1 | − | 13254.6i | 1.88155 | − | 2.17143i | ||||
\(335\) | −2705.67 | + | 794.457i | −0.441273 | + | 0.129570i | ||||
\(336\) | −147.315 | − | 322.574i | −0.0239187 | − | 0.0523745i | ||||
\(337\) | −7753.68 | + | 4982.99i | −1.25332 | + | 0.805462i | −0.987356 | − | 0.158520i | \(-0.949328\pi\) |
−0.265968 | + | 0.963982i | \(0.585691\pi\) | |||||||
\(338\) | −9181.47 | − | 2695.92i | −1.47753 | − | 0.433843i | ||||
\(339\) | 289.099 | + | 2010.73i | 0.0463178 | + | 0.322147i | ||||
\(340\) | −887.621 | + | 1943.62i | −0.141582 | + | 0.310022i | ||||
\(341\) | 553.477 | − | 3849.52i | 0.0878958 | − | 0.611329i | ||||
\(342\) | 366.756 | + | 235.700i | 0.0579880 | + | 0.0372666i | ||||
\(343\) | 2467.44 | + | 2847.57i | 0.388423 | + | 0.448264i | ||||
\(344\) | 1166.96 | 0.182902 | ||||||||
\(345\) | 882.989 | − | 279.708i | 0.137793 | − | 0.0436492i | ||||
\(346\) | −5175.24 | −0.804112 | ||||||||
\(347\) | 4364.57 | + | 5036.98i | 0.675223 | + | 0.779249i | 0.985184 | − | 0.171500i | \(-0.0548615\pi\) |
−0.309961 | + | 0.950749i | \(0.600316\pi\) | |||||||
\(348\) | 1971.68 | + | 1267.12i | 0.303715 | + | 0.195186i | ||||
\(349\) | 1467.30 | − | 10205.3i | 0.225050 | − | 1.56526i | −0.493475 | − | 0.869760i | \(-0.664274\pi\) |
0.718526 | − | 0.695500i | \(-0.244817\pi\) | |||||||
\(350\) | 1247.63 | − | 2731.92i | 0.190538 | − | 0.417221i | ||||
\(351\) | 24.8690 | + | 172.968i | 0.00378179 | + | 0.0263029i | ||||
\(352\) | 5061.87 | + | 1486.30i | 0.766473 | + | 0.225057i | ||||
\(353\) | 2440.48 | − | 1568.40i | 0.367970 | − | 0.236480i | −0.343567 | − | 0.939128i | \(-0.611635\pi\) |
0.711538 | + | 0.702648i | \(0.247999\pi\) | |||||||
\(354\) | −4062.03 | − | 8894.61i | −0.609872 | − | 1.33543i | ||||
\(355\) | −308.062 | + | 90.4550i | −0.0460569 | + | 0.0135235i | ||||
\(356\) | 188.069 | − | 217.043i | 0.0279990 | − | 0.0323125i | ||||
\(357\) | −739.029 | + | 852.885i | −0.109562 | + | 0.126441i | ||||
\(358\) | −5663.41 | + | 1662.93i | −0.836091 | + | 0.245499i | ||||
\(359\) | −2542.68 | − | 5567.69i | −0.373809 | − | 0.818528i | −0.999267 | − | 0.0382701i | \(-0.987815\pi\) |
0.625458 | − | 0.780258i | \(-0.284912\pi\) | |||||||
\(360\) | 349.589 | − | 224.667i | 0.0511805 | − | 0.0328917i | ||||
\(361\) | 6466.97 | + | 1898.87i | 0.942844 | + | 0.276844i | ||||
\(362\) | −1513.00 | − | 10523.1i | −0.219672 | − | 1.52786i | ||||
\(363\) | −960.553 | + | 2103.32i | −0.138887 | + | 0.304120i | ||||
\(364\) | 62.2940 | − | 433.264i | 0.00897003 | − | 0.0623879i | ||||
\(365\) | −1727.90 | − | 1110.45i | −0.247787 | − | 0.159243i | ||||
\(366\) | −851.790 | − | 983.018i | −0.121650 | − | 0.140391i | ||||
\(367\) | −3488.32 | −0.496155 | −0.248077 | − | 0.968740i | \(-0.579799\pi\) | ||||
−0.248077 | + | 0.968740i | \(0.579799\pi\) | |||||||
\(368\) | −1925.45 | − | 1180.57i | −0.272747 | − | 0.167232i | ||||
\(369\) | −1629.19 | −0.229843 | ||||||||
\(370\) | 908.145 | + | 1048.06i | 0.127601 | + | 0.147259i | ||||
\(371\) | 2253.63 | + | 1448.32i | 0.315371 | + | 0.202676i | ||||
\(372\) | −821.831 | + | 5715.96i | −0.114543 | + | 0.796663i | ||||
\(373\) | −4336.23 | + | 9495.02i | −0.601934 | + | 1.31805i | 0.326022 | + | 0.945362i | \(0.394292\pi\) |
−0.927956 | + | 0.372690i | \(0.878436\pi\) | |||||||
\(374\) | −974.603 | − | 6778.51i | −0.134747 | − | 0.937189i | ||||
\(375\) | −1951.11 | − | 572.898i | −0.268680 | − | 0.0788915i | ||||
\(376\) | 2019.42 | − | 1297.80i | 0.276978 | − | 0.178003i | ||||
\(377\) | −179.293 | − | 392.598i | −0.0244936 | − | 0.0536335i | ||||
\(378\) | 664.061 | − | 194.986i | 0.0903588 | − | 0.0265317i | ||||
\(379\) | 5448.80 | − | 6288.25i | 0.738486 | − | 0.852258i | −0.254914 | − | 0.966964i | \(-0.582047\pi\) |
0.993399 | + | 0.114706i | \(0.0365926\pi\) | |||||||
\(380\) | −234.268 | + | 270.359i | −0.0316255 | + | 0.0364977i | ||||
\(381\) | −3160.71 | + | 928.067i | −0.425008 | + | 0.124793i | ||||
\(382\) | 1268.38 | + | 2777.37i | 0.169885 | + | 0.371997i | ||||
\(383\) | −11633.2 | + | 7476.23i | −1.55204 | + | 0.997435i | −0.567277 | + | 0.823527i | \(0.692003\pi\) |
−0.984762 | + | 0.173908i | \(0.944360\pi\) | |||||||
\(384\) | −5422.52 | − | 1592.20i | −0.720617 | − | 0.211592i | ||||
\(385\) | −54.4311 | − | 378.576i | −0.00720536 | − | 0.0501144i | ||||
\(386\) | −4675.11 | + | 10237.1i | −0.616468 | + | 1.34988i | ||||
\(387\) | 90.6079 | − | 630.192i | 0.0119014 | − | 0.0827763i | ||||
\(388\) | 2298.82 | + | 1477.36i | 0.300786 | + | 0.193303i | ||||
\(389\) | −8808.80 | − | 10165.9i | −1.14813 | − | 1.32502i | −0.937715 | − | 0.347405i | \(-0.887063\pi\) |
−0.210418 | − | 0.977612i | \(-0.567482\pi\) | |||||||
\(390\) | −241.309 | −0.0313311 | ||||||||
\(391\) | −872.030 | + | 7134.46i | −0.112789 | + | 0.922775i | ||||
\(392\) | 5108.40 | 0.658196 | ||||||||
\(393\) | 4691.44 | + | 5414.21i | 0.602168 | + | 0.694938i | ||||
\(394\) | 3015.11 | + | 1937.69i | 0.385530 | + | 0.247765i | ||||
\(395\) | 66.9123 | − | 465.385i | 0.00852335 | − | 0.0592812i | ||||
\(396\) | −1036.72 | + | 2270.10i | −0.131559 | + | 0.288073i | ||||
\(397\) | 100.820 | + | 701.219i | 0.0127456 | + | 0.0886478i | 0.995201 | − | 0.0978482i | \(-0.0311960\pi\) |
−0.982456 | + | 0.186496i | \(0.940287\pi\) | |||||||
\(398\) | −6632.86 | − | 1947.58i | −0.835364 | − | 0.245285i | ||||
\(399\) | −158.949 | + | 102.150i | −0.0199433 | + | 0.0128168i | ||||
\(400\) | 996.603 | + | 2182.26i | 0.124575 | + | 0.272782i | ||||
\(401\) | 5923.10 | − | 1739.18i | 0.737619 | − | 0.216585i | 0.108721 | − | 0.994072i | \(-0.465324\pi\) |
0.628898 | + | 0.777488i | \(0.283506\pi\) | |||||||
\(402\) | −8788.15 | + | 10142.1i | −1.09033 | + | 1.25831i | ||||
\(403\) | 696.394 | − | 803.681i | 0.0860790 | − | 0.0993405i | ||||
\(404\) | 4113.33 | − | 1207.78i | 0.506549 | − | 0.148736i | ||||
\(405\) | −94.1833 | − | 206.233i | −0.0115556 | − | 0.0253032i | ||||
\(406\) | −1438.03 | + | 924.164i | −0.175784 | + | 0.112969i | ||||
\(407\) | −2534.13 | − | 744.088i | −0.308629 | − | 0.0906217i | ||||
\(408\) | 458.926 | + | 3191.90i | 0.0556868 | + | 0.387310i | ||||
\(409\) | −109.057 | + | 238.803i | −0.0131847 | + | 0.0288705i | −0.916110 | − | 0.400927i | \(-0.868688\pi\) |
0.902925 | + | 0.429798i | \(0.141415\pi\) | |||||||
\(410\) | 320.174 | − | 2226.86i | 0.0385665 | − | 0.268236i | ||||
\(411\) | 4204.71 | + | 2702.21i | 0.504631 | + | 0.324306i | ||||
\(412\) | 12089.5 | + | 13952.0i | 1.44564 | + | 1.66836i | ||||
\(413\) | 4237.81 | 0.504913 | ||||||||
\(414\) | 2815.40 | − | 3391.66i | 0.334225 | − | 0.402636i | ||||
\(415\) | 4073.16 | 0.481792 | ||||||||
\(416\) | 944.658 | + | 1090.19i | 0.111336 | + | 0.128488i | ||||
\(417\) | 6687.75 | + | 4297.95i | 0.785373 | + | 0.504728i | ||||
\(418\) | 163.172 | − | 1134.89i | 0.0190933 | − | 0.132797i | ||||
\(419\) | −4570.34 | + | 10007.7i | −0.532878 | + | 1.16684i | 0.431452 | + | 0.902136i | \(0.358001\pi\) |
−0.964330 | + | 0.264704i | \(0.914726\pi\) | |||||||
\(420\) | 80.8220 | + | 562.129i | 0.00938979 | + | 0.0653074i | ||||
\(421\) | 8134.62 | + | 2388.54i | 0.941703 | + | 0.276509i | 0.716329 | − | 0.697763i | \(-0.245821\pi\) |
0.225375 | + | 0.974272i | \(0.427639\pi\) | |||||||
\(422\) | 1621.14 | − | 1041.84i | 0.187005 | − | 0.120181i | ||||
\(423\) | −544.055 | − | 1191.31i | −0.0625363 | − | 0.136935i | ||||
\(424\) | 7344.75 | − | 2156.61i | 0.841256 | − | 0.247015i | ||||
\(425\) | 4999.63 | − | 5769.88i | 0.570630 | − | 0.658542i | ||||
\(426\) | −1000.60 | + | 1154.75i | −0.113801 | + | 0.131333i | ||||
\(427\) | 540.886 | − | 158.818i | 0.0613005 | − | 0.0179994i | ||||
\(428\) | 9088.00 | + | 19899.9i | 1.02637 | + | 2.24743i | ||||
\(429\) | 386.617 | − | 248.463i | 0.0435106 | − | 0.0279625i | ||||
\(430\) | 843.572 | + | 247.695i | 0.0946062 | + | 0.0277789i | ||||
\(431\) | 889.445 | + | 6186.22i | 0.0994038 | + | 0.691369i | 0.977198 | + | 0.212331i | \(0.0681054\pi\) |
−0.877794 | + | 0.479038i | \(0.840986\pi\) | |||||||
\(432\) | −229.660 | + | 502.886i | −0.0255776 | + | 0.0560072i | ||||
\(433\) | 368.313 | − | 2561.67i | 0.0408775 | − | 0.284310i | −0.959122 | − | 0.282994i | \(-0.908672\pi\) |
0.999999 | − | 0.00131525i | \(-0.000418658\pi\) | |||||||
\(434\) | −3543.16 | − | 2277.05i | −0.391883 | − | 0.251848i | ||||
\(435\) | 366.703 | + | 423.198i | 0.0404186 | + | 0.0466455i | ||||
\(436\) | −18042.2 | −1.98179 | ||||||||
\(437\) | −476.609 | + | 1104.96i | −0.0521723 | + | 0.120955i | ||||
\(438\) | −9774.77 | −1.06634 | ||||||||
\(439\) | −5111.42 | − | 5898.89i | −0.555706 | − | 0.641319i | 0.406497 | − | 0.913652i | \(-0.366750\pi\) |
−0.962203 | + | 0.272333i | \(0.912205\pi\) | |||||||
\(440\) | −919.398 | − | 590.861i | −0.0996150 | − | 0.0640187i | ||||
\(441\) | 396.639 | − | 2758.68i | 0.0428289 | − | 0.297882i | ||||
\(442\) | 777.887 | − | 1703.33i | 0.0837111 | − | 0.183302i | ||||
\(443\) | 505.386 | + | 3515.04i | 0.0542023 | + | 0.376985i | 0.998809 | + | 0.0487820i | \(0.0155340\pi\) |
−0.944607 | + | 0.328203i | \(0.893557\pi\) | |||||||
\(444\) | 3762.80 | + | 1104.86i | 0.402195 | + | 0.118095i | ||||
\(445\) | 57.7234 | − | 37.0966i | 0.00614910 | − | 0.00395179i | ||||
\(446\) | 664.485 | + | 1455.02i | 0.0705477 | + | 0.154478i | ||||
\(447\) | −6715.48 | + | 1971.84i | −0.710584 | + | 0.208646i | ||||
\(448\) | 3122.12 | − | 3603.11i | 0.329255 | − | 0.379980i | ||||
\(449\) | −7370.49 | + | 8505.99i | −0.774688 | + | 0.894037i | −0.996714 | − | 0.0810035i | \(-0.974187\pi\) |
0.222026 | + | 0.975041i | \(0.428733\pi\) | |||||||
\(450\) | −4492.46 | + | 1319.11i | −0.470615 | + | 0.138185i | ||||
\(451\) | 1779.91 | + | 3897.46i | 0.185838 | + | 0.406928i | ||||
\(452\) | −6673.48 | + | 4288.78i | −0.694456 | + | 0.446300i | ||||
\(453\) | 7303.90 | + | 2144.62i | 0.757543 | + | 0.222435i | ||||
\(454\) | −1403.41 | − | 9760.93i | −0.145078 | − | 1.00904i | ||||
\(455\) | 43.4445 | − | 95.1303i | 0.00447629 | − | 0.00980171i | ||||
\(456\) | −76.8353 | + | 534.401i | −0.00789066 | + | 0.0548807i | ||||
\(457\) | −13093.9 | − | 8414.92i | −1.34027 | − | 0.861342i | −0.343312 | − | 0.939221i | \(-0.611549\pi\) |
−0.996963 | + | 0.0778793i | \(0.975185\pi\) | |||||||
\(458\) | −11153.3 | − | 12871.6i | −1.13790 | − | 1.31321i | ||||
\(459\) | 1759.35 | 0.178910 | ||||||||
\(460\) | 2425.98 | + | 2682.78i | 0.245895 | + | 0.271924i | ||||
\(461\) | 12162.3 | 1.22876 | 0.614378 | − | 0.789012i | \(-0.289407\pi\) | ||||
0.614378 | + | 0.789012i | \(0.289407\pi\) | |||||||
\(462\) | −1191.96 | − | 1375.59i | −0.120032 | − | 0.138525i | ||||
\(463\) | −5490.58 | − | 3528.58i | −0.551121 | − | 0.354184i | 0.235254 | − | 0.971934i | \(-0.424408\pi\) |
−0.786374 | + | 0.617750i | \(0.788044\pi\) | |||||||
\(464\) | 194.325 | − | 1351.56i | 0.0194425 | − | 0.135225i | ||||
\(465\) | −573.154 | + | 1255.03i | −0.0571600 | + | 0.125163i | ||||
\(466\) | −240.504 | − | 1672.74i | −0.0239080 | − | 0.166284i | ||||
\(467\) | 4662.32 | + | 1368.98i | 0.461983 | + | 0.135651i | 0.504438 | − | 0.863448i | \(-0.331700\pi\) |
−0.0424548 | + | 0.999098i | \(0.513518\pi\) | |||||||
\(468\) | −574.068 | + | 368.931i | −0.0567015 | + | 0.0364398i | ||||
\(469\) | −2416.08 | − | 5290.47i | −0.237876 | − | 0.520877i | ||||
\(470\) | 1735.27 | − | 509.521i | 0.170302 | − | 0.0500052i | ||||
\(471\) | −3652.03 | + | 4214.67i | −0.357275 | + | 0.412318i | ||||
\(472\) | 7929.95 | − | 9151.65i | 0.773317 | − | 0.892455i | ||||
\(473\) | −1606.58 | + | 471.735i | −0.156175 | + | 0.0458571i | ||||
\(474\) | −929.508 | − | 2035.34i | −0.0900711 | − | 0.197228i | ||||
\(475\) | 1075.31 | − | 691.060i | 0.103871 | − | 0.0667537i | ||||
\(476\) | −4228.46 | − | 1241.59i | −0.407167 | − | 0.119555i | ||||
\(477\) | −594.355 | − | 4133.83i | −0.0570516 | − | 0.396803i | ||||
\(478\) | 3257.87 | − | 7133.73i | 0.311739 | − | 0.682614i | ||||
\(479\) | 840.052 | − | 5842.69i | 0.0801314 | − | 0.557326i | −0.909720 | − | 0.415222i | \(-0.863704\pi\) |
0.989852 | − | 0.142105i | \(-0.0453869\pi\) | |||||||
\(480\) | −1574.48 | − | 1011.85i | −0.149718 | − | 0.0962179i | ||||
\(481\) | −472.925 | − | 545.785i | −0.0448306 | − | 0.0517373i | ||||
\(482\) | 983.373 | 0.0929282 | ||||||||
\(483\) | 830.207 | + | 1720.53i | 0.0782106 | + | 0.162085i | ||||
\(484\) | −9029.58 | −0.848007 | ||||||||
\(485\) | 427.547 | + | 493.416i | 0.0400287 | + | 0.0461956i | ||||
\(486\) | −907.682 | − | 583.332i | −0.0847187 | − | 0.0544454i | ||||
\(487\) | 2305.24 | − | 16033.3i | 0.214498 | − | 1.49187i | −0.543389 | − | 0.839481i | \(-0.682859\pi\) |
0.757887 | − | 0.652386i | \(-0.226232\pi\) | |||||||
\(488\) | 669.154 | − | 1465.24i | 0.0620721 | − | 0.135919i | ||||
\(489\) | −699.690 | − | 4866.45i | −0.0647056 | − | 0.450038i | ||||
\(490\) | 3692.76 | + | 1084.29i | 0.340453 | + | 0.0999661i | ||||
\(491\) | −9704.51 | + | 6236.71i | −0.891972 | + | 0.573236i | −0.904399 | − | 0.426687i | \(-0.859681\pi\) |
0.0124270 | + | 0.999923i | \(0.496044\pi\) | |||||||
\(492\) | −2642.90 | − | 5787.15i | −0.242177 | − | 0.530294i | ||||
\(493\) | −4169.35 | + | 1224.23i | −0.380889 | + | 0.111839i | ||||
\(494\) | 205.306 | − | 236.935i | 0.0186987 | − | 0.0215794i | ||||
\(495\) | −390.469 | + | 450.625i | −0.0354551 | + | 0.0409173i | ||||
\(496\) | 3228.07 | − | 947.848i | 0.292227 | − | 0.0858057i | ||||
\(497\) | −275.089 | − | 602.361i | −0.0248278 | − | 0.0543653i | ||||
\(498\) | 16307.0 | − | 10479.9i | 1.46734 | − | 0.943000i | ||||
\(499\) | 13100.6 | + | 3846.70i | 1.17528 | + | 0.345094i | 0.810353 | − | 0.585942i | \(-0.199275\pi\) |
0.364928 | + | 0.931036i | \(0.381093\pi\) | |||||||
\(500\) | −1130.10 | − | 7860.05i | −0.101080 | − | 0.703024i | ||||
\(501\) | 4922.55 | − | 10778.9i | 0.438969 | − | 0.961207i | ||||
\(502\) | −754.062 | + | 5244.62i | −0.0670427 | + | 0.466292i | ||||
\(503\) | 3256.28 | + | 2092.68i | 0.288649 | + | 0.185503i | 0.676950 | − | 0.736029i | \(-0.263301\pi\) |
−0.388301 | + | 0.921533i | \(0.626938\pi\) | |||||||
\(504\) | 561.275 | + | 647.746i | 0.0496055 | + | 0.0572478i | ||||
\(505\) | 1024.26 | 0.0902551 | ||||||||
\(506\) | −11189.7 | − | 3029.76i | −0.983085 | − | 0.266185i | ||||
\(507\) | −6465.34 | −0.566343 | ||||||||
\(508\) | −8424.02 | − | 9721.84i | −0.735739 | − | 0.849088i | ||||
\(509\) | 9918.56 | + | 6374.27i | 0.863718 | + | 0.555078i | 0.895825 | − | 0.444407i | \(-0.146586\pi\) |
−0.0321074 | + | 0.999484i | \(0.510222\pi\) | |||||||
\(510\) | −345.755 | + | 2404.78i | −0.0300201 | + | 0.208795i | ||||
\(511\) | 1759.82 | − | 3853.47i | 0.152348 | − | 0.333596i | ||||
\(512\) | 1034.05 | + | 7191.96i | 0.0892556 | + | 0.620786i | ||||
\(513\) | 282.626 | + | 82.9866i | 0.0243241 | + | 0.00714220i | ||||
\(514\) | 17946.0 | − | 11533.2i | 1.54000 | − | 0.989700i | ||||
\(515\) | 1832.30 | + | 4012.19i | 0.156779 | + | 0.343297i | ||||
\(516\) | 2385.54 | − | 700.456i | 0.203522 | − | 0.0597594i | ||||
\(517\) | −2255.56 | + | 2603.06i | −0.191875 | + | 0.221436i | ||||
\(518\) | −1873.05 | + | 2161.62i | −0.158875 | + | 0.183352i | ||||
\(519\) | −3355.01 | + | 985.119i | −0.283754 | + | 0.0833177i | ||||
\(520\) | −124.141 | − | 271.831i | −0.0104691 | − | 0.0229242i | ||||
\(521\) | 18698.1 | − | 12016.5i | 1.57232 | − | 1.01047i | 0.593721 | − | 0.804671i | \(-0.297658\pi\) |
0.978595 | − | 0.205795i | \(-0.0659781\pi\) | |||||||
\(522\) | 2556.95 | + | 750.789i | 0.214396 | + | 0.0629524i | ||||
\(523\) | 1187.21 | + | 8257.21i | 0.0992600 | + | 0.690368i | 0.977312 | + | 0.211804i | \(0.0679337\pi\) |
−0.878052 | + | 0.478565i | \(0.841157\pi\) | |||||||
\(524\) | −11621.6 | + | 25447.9i | −0.968882 | + | 2.12155i | ||||
\(525\) | 288.784 | − | 2008.54i | 0.0240068 | − | 0.166971i | ||||
\(526\) | −5615.10 | − | 3608.61i | −0.465457 | − | 0.299131i | ||||
\(527\) | −7011.32 | − | 8091.49i | −0.579540 | − | 0.668825i | ||||
\(528\) | 1453.95 | 0.119839 | ||||||||
\(529\) | 10504.8 | + | 6138.74i | 0.863388 | + | 0.504540i | ||||
\(530\) | 5767.14 | 0.472657 | ||||||||
\(531\) | −4326.44 | − | 4992.98i | −0.353581 | − | 0.408054i | ||||
\(532\) | −620.705 | − | 398.903i | −0.0505846 | − | 0.0325087i | ||||
\(533\) | −166.733 | + | 1159.66i | −0.0135498 | + | 0.0942407i | ||||
\(534\) | 135.651 | − | 297.034i | 0.0109929 | − | 0.0240710i | ||||
\(535\) | 743.864 | + | 5173.69i | 0.0601122 | + | 0.418090i | ||||
\(536\) | −15946.0 | − | 4682.15i | −1.28500 | − | 0.377310i | ||||
\(537\) | −3354.93 | + | 2156.09i | −0.269602 | + | 0.173262i | ||||
\(538\) | 5741.64 | + | 12572.4i | 0.460111 | + | 1.00750i | ||||
\(539\) | −7032.86 | + | 2065.04i | −0.562017 | + | 0.165023i | ||||
\(540\) | 579.788 | − | 669.111i | 0.0462039 | − | 0.0533221i | ||||
\(541\) | −7154.91 | + | 8257.21i | −0.568602 | + | 0.656202i | −0.965115 | − | 0.261828i | \(-0.915675\pi\) |
0.396513 | + | 0.918029i | \(0.370220\pi\) | |||||||
\(542\) | 32940.5 | − | 9672.20i | 2.61055 | − | 0.766525i | ||||
\(543\) | −2983.95 | − | 6533.93i | −0.235826 | − | 0.516387i | ||||
\(544\) | 12217.9 | − | 7851.98i | 0.962939 | − | 0.618843i | ||||
\(545\) | −4136.07 | − | 1214.46i | −0.325082 | − | 0.0954526i | ||||
\(546\) | −70.8302 | − | 492.635i | −0.00555174 | − | 0.0386132i | ||||
\(547\) | 6498.74 | − | 14230.3i | 0.507982 | − | 1.11233i | −0.465810 | − | 0.884885i | \(-0.654237\pi\) |
0.973792 | − | 0.227440i | \(-0.0730357\pi\) | |||||||
\(548\) | −2777.72 | + | 19319.4i | −0.216530 | + | 1.50600i | ||||
\(549\) | −739.318 | − | 475.131i | −0.0574742 | − | 0.0369364i | ||||
\(550\) | 8063.75 | + | 9306.06i | 0.625163 | + | 0.721476i | ||||
\(551\) | −727.520 | −0.0562493 | ||||||||
\(552\) | 5269.04 | + | 1426.67i | 0.406278 | + | 0.110006i | ||||
\(553\) | 969.730 | 0.0745698 | ||||||||
\(554\) | −4353.49 | − | 5024.20i | −0.333867 | − | 0.385303i | ||||
\(555\) | 788.232 | + | 506.566i | 0.0602857 | + | 0.0387433i | ||||
\(556\) | −4418.06 | + | 30728.3i | −0.336992 | + | 2.34383i | ||||
\(557\) | 4427.71 | − | 9695.34i | 0.336819 | − | 0.737531i | −0.663121 | − | 0.748513i | \(-0.730768\pi\) |
0.999940 | + | 0.0109817i | \(0.00349565\pi\) | |||||||
\(558\) | 934.447 | + | 6499.22i | 0.0708930 | + | 0.493072i | ||||
\(559\) | −439.298 | − | 128.990i | −0.0332385 | − | 0.00975971i | ||||
\(560\) | 278.340 | − | 178.878i | 0.0210036 | − | 0.0134982i | ||||
\(561\) | −1922.12 | − | 4208.86i | −0.144656 | − | 0.316752i | ||||
\(562\) | −32442.5 | + | 9525.99i | −2.43506 | + | 0.714999i | ||||
\(563\) | 9545.37 | − | 11015.9i | 0.714546 | − | 0.824630i | −0.276094 | − | 0.961131i | \(-0.589040\pi\) |
0.990640 | + | 0.136501i | \(0.0435856\pi\) | |||||||
\(564\) | 3349.17 | − | 3865.15i | 0.250045 | − | 0.288568i | ||||
\(565\) | −1818.55 | + | 533.973i | −0.135410 | + | 0.0397601i | ||||
\(566\) | 9372.79 | + | 20523.5i | 0.696056 | + | 1.52415i | ||||
\(567\) | 393.381 | − | 252.811i | 0.0291366 | − | 0.0187250i | ||||
\(568\) | −1815.57 | − | 533.099i | −0.134119 | − | 0.0393809i | ||||
\(569\) | 1334.22 | + | 9279.70i | 0.0983012 | + | 0.683700i | 0.978067 | + | 0.208292i | \(0.0667904\pi\) |
−0.879766 | + | 0.475408i | \(0.842300\pi\) | |||||||
\(570\) | −168.973 | + | 370.000i | −0.0124167 | + | 0.0271887i | ||||
\(571\) | −2960.56 | + | 20591.2i | −0.216980 | + | 1.50913i | 0.532118 | + | 0.846670i | \(0.321396\pi\) |
−0.749098 | + | 0.662459i | \(0.769513\pi\) | |||||||
\(572\) | 1509.76 | + | 970.266i | 0.110361 | + | 0.0709246i | ||||
\(573\) | 1350.95 | + | 1559.08i | 0.0984932 | + | 0.113667i | ||||
\(574\) | 4640.14 | 0.337414 | ||||||||
\(575\) | −5616.46 | − | 11639.6i | −0.407344 | − | 0.844184i | ||||
\(576\) | −7432.60 | −0.537659 | ||||||||
\(577\) | −16132.0 | − | 18617.3i | −1.16392 | − | 1.34324i | −0.928493 | − | 0.371349i | \(-0.878895\pi\) |
−0.235431 | − | 0.971891i | \(-0.575650\pi\) | |||||||
\(578\) | 2491.52 | + | 1601.20i | 0.179297 | + | 0.115227i | ||||
\(579\) | −1082.13 | + | 7526.39i | −0.0776716 | + | 0.540218i | ||||
\(580\) | −908.398 | + | 1989.11i | −0.0650331 | + | 0.142403i | ||||
\(581\) | 1195.58 | + | 8315.42i | 0.0853715 | + | 0.593772i | ||||
\(582\) | 2981.21 | + | 875.361i | 0.212328 | + | 0.0623452i | ||||
\(583\) | −9239.91 | + | 5938.13i | −0.656395 | + | 0.421839i | ||||
\(584\) | −5028.62 | − | 11011.1i | −0.356311 | − | 0.780213i | ||||
\(585\) | −156.436 | + | 45.9336i | −0.0110561 | + | 0.00324636i | ||||
\(586\) | −7821.61 | + | 9026.61i | −0.551378 | + | 0.636324i | ||||
\(587\) | −7155.41 | + | 8257.79i | −0.503127 | + | 0.580639i | −0.949326 | − | 0.314295i | \(-0.898232\pi\) |
0.446199 | + | 0.894934i | \(0.352778\pi\) | |||||||
\(588\) | 10442.8 | − | 3066.27i | 0.732401 | − | 0.215052i | ||||
\(589\) | −744.647 | − | 1630.55i | −0.0520928 | − | 0.114067i | ||||
\(590\) | 7674.91 | − | 4932.37i | 0.535544 | − | 0.344173i | ||||
\(591\) | 2323.48 | + | 682.235i | 0.161718 | + | 0.0474846i | ||||
\(592\) | −325.154 | − | 2261.50i | −0.0225739 | − | 0.157005i | ||||
\(593\) | 3268.31 | − | 7156.60i | 0.226329 | − | 0.495592i | −0.762065 | − | 0.647500i | \(-0.775814\pi\) |
0.988395 | + | 0.151908i | \(0.0485417\pi\) | |||||||
\(594\) | −403.834 | + | 2808.72i | −0.0278948 | + | 0.194012i | ||||
\(595\) | −885.778 | − | 569.255i | −0.0610308 | − | 0.0392221i | ||||
\(596\) | −17898.3 | − | 20655.8i | −1.23011 | − | 1.41962i | ||||
\(597\) | −4670.67 | −0.320198 | ||||||||
\(598\) | −2126.06 | − | 2351.11i | −0.145386 | − | 0.160776i | ||||
\(599\) | 12825.4 | 0.874842 | 0.437421 | − | 0.899257i | \(-0.355892\pi\) | ||||
0.437421 | + | 0.899257i | \(0.355892\pi\) | |||||||
\(600\) | −3797.10 | − | 4382.09i | −0.258360 | − | 0.298163i | ||||
\(601\) | −19196.5 | − | 12336.9i | −1.30290 | − | 0.837324i | −0.309376 | − | 0.950940i | \(-0.600120\pi\) |
−0.993525 | + | 0.113616i | \(0.963757\pi\) | |||||||
\(602\) | −258.063 | + | 1794.87i | −0.0174715 | + | 0.121517i | ||||
\(603\) | −3766.61 | + | 8247.74i | −0.254375 | + | 0.557005i | ||||
\(604\) | 4230.50 | + | 29423.7i | 0.284994 | + | 1.98218i | ||||
\(605\) | −2069.98 | − | 607.801i | −0.139102 | − | 0.0408440i | ||||
\(606\) | 4100.63 | − | 2635.31i | 0.274879 | − | 0.176654i | ||||
\(607\) | −1284.45 | − | 2812.54i | −0.0858880 | − | 0.188069i | 0.861814 | − | 0.507224i | \(-0.169328\pi\) |
−0.947703 | + | 0.319155i | \(0.896601\pi\) | |||||||
\(608\) | 2333.08 | − | 685.055i | 0.155623 | − | 0.0456951i | ||||
\(609\) | −756.328 | + | 872.849i | −0.0503250 | + | 0.0580782i | ||||
\(610\) | 794.727 | − | 917.164i | 0.0527501 | − | 0.0608768i | ||||
\(611\) | −903.658 | + | 265.338i | −0.0598332 | + | 0.0175686i | ||||
\(612\) | 2854.06 | + | 6249.52i | 0.188511 | + | 0.412781i | ||||
\(613\) | 11671.5 | − | 7500.79i | 0.769014 | − | 0.494216i | −0.0963569 | − | 0.995347i | \(-0.530719\pi\) |
0.865371 | + | 0.501131i | \(0.167083\pi\) | |||||||
\(614\) | 5190.12 | + | 1523.96i | 0.341134 | + | 0.100166i | ||||
\(615\) | −216.325 | − | 1504.57i | −0.0141838 | − | 0.0986508i | ||||
\(616\) | 936.385 | − | 2050.40i | 0.0612468 | − | 0.134112i | ||||
\(617\) | 1723.74 | − | 11988.9i | 0.112472 | − | 0.782258i | −0.853030 | − | 0.521862i | \(-0.825238\pi\) |
0.965502 | − | 0.260397i | \(-0.0838533\pi\) | |||||||
\(618\) | 17658.6 | + | 11348.5i | 1.14941 | + | 0.738681i | ||||
\(619\) | 1056.30 | + | 1219.03i | 0.0685884 | + | 0.0791552i | 0.789007 | − | 0.614385i | \(-0.210596\pi\) |
−0.720418 | + | 0.693540i | \(0.756050\pi\) | |||||||
\(620\) | −5387.88 | −0.349004 | ||||||||
\(621\) | 1179.56 | − | 2734.66i | 0.0762222 | − | 0.176712i | ||||
\(622\) | −19064.1 | −1.22894 | ||||||||
\(623\) | 92.6764 | + | 106.954i | 0.00595988 | + | 0.00687806i | ||||
\(624\) | 334.451 | + | 214.939i | 0.0214564 | + | 0.0137892i | ||||
\(625\) | −1814.29 | + | 12618.7i | −0.116115 | + | 0.807595i | ||||
\(626\) | 15705.1 | − | 34389.3i | 1.00272 | − | 2.19564i | ||||
\(627\) | −110.247 | − | 766.784i | −0.00702207 | − | 0.0488396i | ||||
\(628\) | −20895.6 | − | 6135.51i | −1.32775 | − | 0.389862i | ||||
\(629\) | −6116.67 | + | 3930.95i | −0.387739 | + | 0.249185i | ||||
\(630\) | 268.246 | + | 587.378i | 0.0169638 | + | 0.0371455i | ||||
\(631\) | −13109.8 | + | 3849.40i | −0.827091 | + | 0.242856i | −0.667767 | − | 0.744370i | \(-0.732750\pi\) |
−0.159324 | + | 0.987226i | \(0.550932\pi\) | |||||||
\(632\) | 1814.60 | − | 2094.16i | 0.114210 | − | 0.131805i | ||||
\(633\) | 852.636 | − | 983.994i | 0.0535375 | − | 0.0617856i | ||||
\(634\) | 5867.71 | − | 1722.92i | 0.367566 | − | 0.107927i | ||||
\(635\) | −1276.76 | − | 2795.72i | −0.0797902 | − | 0.174716i | ||||
\(636\) | 13719.9 | − | 8817.24i | 0.855392 | − | 0.549727i | ||||
\(637\) | −1923.04 | − | 564.656i | −0.119613 | − | 0.0351216i | ||||
\(638\) | −997.416 | − | 6937.18i | −0.0618936 | − | 0.430479i | ||||
\(639\) | −428.858 | + | 939.068i | −0.0265499 | + | 0.0581361i | ||||
\(640\) | 750.404 | − | 5219.17i | 0.0463474 | − | 0.322353i | ||||
\(641\) | 10701.9 | + | 6877.71i | 0.659440 | + | 0.423796i | 0.827105 | − | 0.562048i | \(-0.189986\pi\) |
−0.167665 | + | 0.985844i | \(0.553623\pi\) | |||||||
\(642\) | 16289.5 | + | 18799.1i | 1.00139 | + | 1.15567i | ||||
\(643\) | 3817.60 | 0.234139 | 0.117070 | − | 0.993124i | \(-0.462650\pi\) | ||||
0.117070 | + | 0.993124i | \(0.462650\pi\) | |||||||
\(644\) | −4764.84 | + | 5740.12i | −0.291554 | + | 0.351231i | ||||
\(645\) | 594.020 | 0.0362628 | ||||||||
\(646\) | −2067.02 | − | 2385.47i | −0.125892 | − | 0.145287i | ||||
\(647\) | −20414.7 | − | 13119.7i | −1.24047 | − | 0.797203i | −0.254984 | − | 0.966945i | \(-0.582070\pi\) |
−0.985489 | + | 0.169742i | \(0.945707\pi\) | |||||||
\(648\) | 190.159 | − | 1322.59i | 0.0115280 | − | 0.0801792i | ||||
\(649\) | −7217.88 | + | 15804.9i | −0.436558 | + | 0.955930i | ||||
\(650\) | 479.176 | + | 3332.74i | 0.0289151 | + | 0.201109i | ||||
\(651\) | −2730.40 | − | 801.718i | −0.164382 | − | 0.0482670i | ||||
\(652\) | 16151.4 | − | 10379.9i | 0.970150 | − | 0.623478i | ||||
\(653\) | −3319.01 | − | 7267.62i | −0.198902 | − | 0.435535i | 0.783729 | − | 0.621102i | \(-0.213315\pi\) |
−0.982631 | + | 0.185568i | \(0.940588\pi\) | |||||||
\(654\) | −19683.5 | + | 5779.60i | −1.17689 | + | 0.345566i | ||||
\(655\) | −4377.15 | + | 5051.50i | −0.261114 | + | 0.301341i | ||||
\(656\) | −2427.27 | + | 2801.21i | −0.144465 | + | 0.166721i | ||||
\(657\) | −6336.79 | + | 1860.65i | −0.376289 | + | 0.110488i | ||||
\(658\) | 1549.54 | + | 3393.02i | 0.0918044 | + | 0.201024i | ||||
\(659\) | −8013.96 | + | 5150.26i | −0.473717 | + | 0.304439i | −0.755628 | − | 0.655001i | \(-0.772668\pi\) |
0.281911 | + | 0.959441i | \(0.409032\pi\) | |||||||
\(660\) | −2234.12 | − | 655.998i | −0.131762 | − | 0.0386889i | ||||
\(661\) | 2362.73 | + | 16433.2i | 0.139031 | + | 0.966983i | 0.933218 | + | 0.359310i | \(0.116988\pi\) |
−0.794187 | + | 0.607673i | \(0.792103\pi\) | |||||||
\(662\) | −6750.68 | + | 14781.9i | −0.396334 | + | 0.867849i | ||||
\(663\) | 180.055 | − | 1252.31i | 0.0105471 | − | 0.0733570i | ||||
\(664\) | 20194.5 | + | 12978.2i | 1.18027 | + | 0.758515i | ||||
\(665\) | −115.442 | − | 133.227i | −0.00673182 | − | 0.00776893i | ||||
\(666\) | 4459.05 | 0.259436 | ||||||||
\(667\) | −892.442 | + | 7301.45i | −0.0518074 | + | 0.423858i | ||||
\(668\) | 46273.9 | 2.68023 | ||||||||
\(669\) | 707.738 | + | 816.774i | 0.0409010 | + | 0.0472022i | ||||
\(670\) | −10533.2 | − | 6769.28i | −0.607363 | − | 0.390329i | ||||
\(671\) | −328.927 | + | 2287.74i | −0.0189241 | + | 0.131620i | ||||
\(672\) | 1603.56 | − | 3511.32i | 0.0920519 | − | 0.201565i | ||||
\(673\) | −1264.05 | − | 8791.66i | −0.0724005 | − | 0.503557i | −0.993464 | − | 0.114145i | \(-0.963587\pi\) |
0.921064 | − | 0.389412i | \(-0.127322\pi\) | |||||||
\(674\) | −39266.6 | − | 11529.7i | −2.24406 | − | 0.658914i | ||||
\(675\) | −2661.28 | + | 1710.30i | −0.151752 | + | 0.0975251i | ||||
\(676\) | −10488.2 | − | 22966.0i | −0.596735 | − | 1.30667i | ||||
\(677\) | 2149.09 | − | 631.030i | 0.122003 | − | 0.0358234i | −0.220161 | − | 0.975464i | \(-0.570658\pi\) |
0.342164 | + | 0.939640i | \(0.388840\pi\) | |||||||
\(678\) | −5906.72 | + | 6816.72i | −0.334582 | + | 0.386128i | ||||
\(679\) | −881.819 | + | 1017.67i | −0.0498396 | + | 0.0575180i | ||||
\(680\) | −2886.82 | + | 847.647i | −0.162801 | + | 0.0478026i | ||||
\(681\) | −2767.82 | − | 6060.67i | −0.155746 | − | 0.341036i | ||||
\(682\) | 14527.0 | − | 9335.96i | 0.815643 | − | 0.524182i | ||||
\(683\) | 25217.9 | + | 7404.65i | 1.41279 | + | 0.414833i | 0.897057 | − | 0.441915i | \(-0.145701\pi\) |
0.515735 | + | 0.856748i | \(0.327519\pi\) | |||||||
\(684\) | 163.700 | + | 1138.56i | 0.00915093 | + | 0.0636461i | ||||
\(685\) | −1937.21 | + | 4241.90i | −0.108054 | + | 0.236605i | ||||
\(686\) | −2380.94 | + | 16559.8i | −0.132514 | + | 0.921655i | ||||
\(687\) | −9680.60 | − | 6221.35i | −0.537610 | − | 0.345501i | ||||
\(688\) | −948.555 | − | 1094.69i | −0.0525630 | − | 0.0606609i | ||||
\(689\) | −3003.29 | −0.166061 | ||||||||
\(690\) | 3506.07 | + | 2149.71i | 0.193440 | + | 0.118606i | ||||
\(691\) | 22878.1 | 1.25951 | 0.629757 | − | 0.776792i | \(-0.283155\pi\) | ||||
0.629757 | + | 0.776792i | \(0.283155\pi\) | |||||||
\(692\) | −8941.88 | − | 10319.5i | −0.491213 | − | 0.566890i | ||||
\(693\) | −1034.57 | − | 664.877i | −0.0567100 | − | 0.0364453i | ||||
\(694\) | −4211.56 | + | 29292.1i | −0.230358 | + | 1.60218i | ||||
\(695\) | −3081.21 | + | 6746.90i | −0.168168 | + | 0.368237i | ||||
\(696\) | 469.668 | + | 3266.62i | 0.0255786 | + | 0.177903i | ||||
\(697\) | 11317.7 | + | 3323.18i | 0.615050 | + | 0.180595i | ||||
\(698\) | 38511.9 | − | 24750.1i | 2.08839 | − | 1.34213i | ||||
\(699\) | −474.324 | − | 1038.63i | −0.0256661 | − | 0.0562009i | ||||
\(700\) | 7603.14 | − | 2232.48i | 0.410531 | − | 0.120543i | ||||
\(701\) | 11934.2 | − | 13772.9i | 0.643010 | − | 0.742073i | −0.336894 | − | 0.941543i | \(-0.609376\pi\) |
0.979904 | + | 0.199469i | \(0.0639218\pi\) | |||||||
\(702\) | −508.110 | + | 586.390i | −0.0273182 | + | 0.0315269i | ||||
\(703\) | −1168.01 | + | 342.960i | −0.0626635 | + | 0.0183997i | ||||
\(704\) | 8120.23 | + | 17780.8i | 0.434720 | + | 0.951903i | ||||
\(705\) | 1027.95 | − | 660.624i | 0.0549147 | − | 0.0352916i | ||||
\(706\) | 12359.2 | + | 3628.99i | 0.658845 | + | 0.193454i | ||||
\(707\) | 300.645 | + | 2091.03i | 0.0159928 | + | 0.111232i | ||||
\(708\) | 10717.5 | − | 23468.0i | 0.568908 | − | 1.24574i | ||||
\(709\) | −2216.86 | + | 15418.6i | −0.117427 | + | 0.816724i | 0.842944 | + | 0.538001i | \(0.180820\pi\) |
−0.960371 | + | 0.278723i | \(0.910089\pi\) | |||||||
\(710\) | −1199.29 | − | 770.735i | −0.0633922 | − | 0.0407397i | ||||
\(711\) | −990.012 | − | 1142.53i | −0.0522199 | − | 0.0602650i | ||||
\(712\) | 404.390 | 0.0212853 | ||||||||
\(713\) | −17277.8 | + | 5473.17i | −0.907516 | + | 0.287478i | ||||
\(714\) | −5010.87 | −0.262643 | ||||||||
\(715\) | 280.794 | + | 324.054i | 0.0146869 | + | 0.0169495i | ||||
\(716\) | −13101.2 | − | 8419.65i | −0.683821 | − | 0.439465i | ||||
\(717\) | 754.088 | − | 5244.80i | 0.0392775 | − | 0.273181i | ||||
\(718\) | 11290.0 | − | 24721.5i | 0.586821 | − | 1.28496i | ||||
\(719\) | 1045.14 | + | 7269.14i | 0.0542105 | + | 0.377042i | 0.998808 | + | 0.0488113i | \(0.0155433\pi\) |
−0.944598 | + | 0.328231i | \(0.893548\pi\) | |||||||
\(720\) | −494.916 | − | 145.320i | −0.0256172 | − | 0.00752190i | ||||
\(721\) | −7653.11 | + | 4918.35i | −0.395307 | + | 0.254049i | ||||
\(722\) | 12432.0 | + | 27222.3i | 0.640819 | + | 1.40320i | ||||
\(723\) | 637.501 | − | 187.187i | 0.0327924 | − | 0.00962872i | ||||
\(724\) | 18369.0 | − | 21199.0i | 0.942928 | − | 1.08820i | ||||
\(725\) | 5116.66 | − | 5904.94i | 0.262107 | − | 0.302488i | ||||
\(726\) | −9851.03 | + | 2892.52i | −0.503589 | + | 0.147867i | ||||
\(727\) | −7552.15 | − | 16536.9i | −0.385273 | − | 0.843631i | −0.998554 | − | 0.0537655i | \(-0.982878\pi\) |
0.613280 | − | 0.789865i | \(-0.289850\pi\) | |||||||
\(728\) | 518.508 | − | 333.225i | 0.0263972 | − | 0.0169645i | ||||
\(729\) | −699.470 | − | 205.383i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | −1297.90 | − | 9027.11i | −0.0658048 | − | 0.457683i | ||||
\(731\) | −1914.89 | + | 4193.03i | −0.0968877 | + | 0.212154i | ||||
\(732\) | 488.408 | − | 3396.95i | 0.0246613 | − | 0.171523i | ||||
\(733\) | 23487.4 | + | 15094.5i | 1.18353 | + | 0.760610i | 0.976032 | − | 0.217625i | \(-0.0698311\pi\) |
0.207499 | + | 0.978235i | \(0.433468\pi\) | |||||||
\(734\) | −10143.0 | − | 11705.6i | −0.510061 | − | 0.588641i | ||||
\(735\) | 2600.34 | 0.130497 | ||||||||
\(736\) | −4013.30 | − | 24255.4i | −0.200995 | − | 1.21476i | ||||
\(737\) | 23845.9 | 1.19183 | ||||||||
\(738\) | −4737.18 | − | 5467.00i | −0.236285 | − | 0.272687i | ||||
\(739\) | 18652.5 | + | 11987.2i | 0.928474 | + | 0.596694i | 0.915105 | − | 0.403217i | \(-0.132108\pi\) |
0.0133695 | + | 0.999911i | \(0.495744\pi\) | |||||||
\(740\) | −520.721 | + | 3621.70i | −0.0258677 | + | 0.179914i | ||||
\(741\) | 87.9944 | − | 192.681i | 0.00436242 | − | 0.00955237i | ||||
\(742\) | 1692.80 | + | 11773.7i | 0.0837529 | + | 0.582514i | ||||
\(743\) | −26314.9 | − | 7726.75i | −1.29933 | − | 0.381517i | −0.442336 | − | 0.896849i | \(-0.645850\pi\) |
−0.856990 | + | 0.515332i | \(0.827668\pi\) | |||||||
\(744\) | −6840.56 | + | 4396.16i | −0.337080 | + | 0.216628i | ||||
\(745\) | −2712.71 | − | 5940.00i | −0.133404 | − | 0.292114i | ||||
\(746\) | −44470.5 | + | 13057.7i | −2.18255 | + | 0.640854i | ||||
\(747\) | 8576.63 | − | 9897.96i | 0.420084 | − | 0.484802i | ||||
\(748\) | 11832.5 | − | 13655.4i | 0.578393 | − | 0.667501i | ||||
\(749\) | −10343.8 | + | 3037.21i | −0.504612 | + | 0.148167i | ||||
\(750\) | −3750.79 | − | 8213.09i | −0.182613 | − | 0.399866i | ||||
\(751\) | 24502.5 | − | 15746.8i | 1.19056 | − | 0.765124i | 0.213258 | − | 0.976996i | \(-0.431592\pi\) |
0.977297 | + | 0.211872i | \(0.0679560\pi\) | |||||||
\(752\) | −2858.91 | − | 839.450i | −0.138635 | − | 0.0407069i | ||||
\(753\) | 509.481 | + | 3543.52i | 0.0246567 | + | 0.171491i | ||||
\(754\) | 796.095 | − | 1743.20i | 0.0384510 | − | 0.0841960i | ||||
\(755\) | −1010.76 | + | 7030.00i | −0.0487223 | + | 0.338871i | ||||
\(756\) | 1536.18 | + | 987.243i | 0.0739026 | + | 0.0474943i | ||||
\(757\) | −23170.5 | − | 26740.2i | −1.11248 | − | 1.28387i | −0.955085 | − | 0.296331i | \(-0.904237\pi\) |
−0.157392 | − | 0.987536i | \(-0.550309\pi\) | |||||||
\(758\) | 36944.7 | 1.77031 | ||||||||
\(759\) | −7830.75 | + | 165.840i | −0.374491 | + | 0.00793100i | ||||
\(760\) | −503.728 | −0.0240423 | ||||||||
\(761\) | 5227.14 | + | 6032.44i | 0.248993 | + | 0.287353i | 0.866463 | − | 0.499241i | \(-0.166388\pi\) |
−0.617470 | + | 0.786594i | \(0.711842\pi\) | |||||||
\(762\) | −12304.7 | − | 7907.73i | −0.584975 | − | 0.375941i | ||||
\(763\) | 1265.29 | − | 8800.30i | 0.0600350 | − | 0.417552i | ||||
\(764\) | −3346.57 | + | 7327.96i | −0.158475 | + | 0.347011i | ||||
\(765\) | 233.608 | + | 1624.78i | 0.0110407 | + | 0.0767897i | ||||
\(766\) | −58913.7 | − | 17298.6i | −2.77890 | − | 0.815959i | ||||
\(767\) | −3996.78 | + | 2568.58i | −0.188156 | + | 0.120920i | ||||
\(768\) | −2190.55 | − | 4796.64i | −0.102923 | − | 0.225370i | ||||
\(769\) | 4792.44 | − | 1407.19i | 0.224733 | − | 0.0659876i | −0.167427 | − | 0.985884i | \(-0.553546\pi\) |
0.392160 | + | 0.919897i | \(0.371728\pi\) | |||||||
\(770\) | 1112.11 | − | 1283.44i | 0.0520487 | − | 0.0600674i | ||||
\(771\) | 9438.64 | − | 10892.8i | 0.440887 | − | 0.508811i | ||||
\(772\) | −28490.5 | + | 8365.57i | −1.32823 | + | 0.390004i | ||||
\(773\) | −15149.9 | − | 33173.6i | −0.704920 | − | 1.54356i | −0.833903 | − | 0.551912i | \(-0.813899\pi\) |
0.128983 | − | 0.991647i | \(-0.458829\pi\) | |||||||
\(774\) | 2378.17 | − | 1528.36i | 0.110441 | − | 0.0709764i | ||||
\(775\) | 18471.5 | + | 5423.73i | 0.856151 | + | 0.251389i | ||||
\(776\) | 547.597 | + | 3808.62i | 0.0253319 | + | 0.176187i | ||||
\(777\) | −802.795 | + | 1757.88i | −0.0370658 | + | 0.0811627i | ||||
\(778\) | 8499.99 | − | 59118.7i | 0.391696 | − | 2.72430i | ||||
\(779\) | 1661.35 | + | 1067.69i | 0.0764110 | + | 0.0491064i | ||||
\(780\) | −416.937 | − | 481.171i | −0.0191394 | − | 0.0220881i | ||||
\(781\) | 2715.04 | 0.124394 | ||||||||
\(782\) | −26476.4 | + | 17818.6i | −1.21074 | + | 0.814824i | ||||
\(783\) | 1800.53 | 0.0821786 | ||||||||
\(784\) | −4152.33 | − | 4792.04i | −0.189155 | − | 0.218296i | ||||
\(785\) | −4377.21 | − | 2813.06i | −0.199018 | − | 0.127901i | ||||
\(786\) | −4526.97 | + | 31485.8i | −0.205435 | + | 1.42883i | ||||
\(787\) | −4297.23 | + | 9409.61i | −0.194637 | + | 0.426196i | −0.981637 | − | 0.190757i | \(-0.938906\pi\) |
0.787000 | + | 0.616953i | \(0.211633\pi\) | |||||||
\(788\) | 1345.78 | + | 9360.13i | 0.0608395 | + | 0.423148i | ||||
\(789\) | −4327.06 | − | 1270.54i | −0.195244 | − | 0.0573288i | ||||
\(790\) | 1756.24 | − | 1128.66i | 0.0790938 | − | 0.0508305i | ||||
\(791\) | −1623.90 | − | 3555.85i | −0.0729954 | − | 0.159838i | ||||
\(792\) | −3371.74 | + | 990.033i | −0.151275 | + | 0.0444183i | ||||
\(793\) | −413.862 | + | 477.622i | −0.0185330 | + | 0.0213882i | ||||
\(794\) | −2059.90 | + | 2377.25i | −0.0920695 | + | 0.106254i | ||||
\(795\) | 3738.72 | − | 1097.79i | 0.166791 | − | 0.0489742i | ||||
\(796\) | −7576.87 | − | 16591.0i | −0.337381 | − | 0.738761i | ||||
\(797\) | −26618.7 | + | 17106.8i | −1.18304 | + | 0.760295i | −0.975943 | − | 0.218025i | \(-0.930039\pi\) |
−0.207099 | + | 0.978320i | \(0.566402\pi\) | |||||||
\(798\) | −804.957 | − | 236.357i | −0.0357082 | − | 0.0104849i | ||||
\(799\) | 1349.45 | + | 9385.64i | 0.0597499 | + | 0.415569i | ||||
\(800\) | −10848.3 | + | 23754.5i | −0.479433 | + | 1.04981i | ||||
\(801\) | 31.3987 | − | 218.382i | 0.00138504 | − | 0.00963316i | ||||
\(802\) | 23058.7 | + | 14818.9i | 1.01525 | + | 0.652462i | ||||
\(803\) | 11374.2 | + | 13126.5i | 0.499860 | + | 0.576869i | ||||
\(804\) | −35407.7 | −1.55315 | ||||||||
\(805\) | −1478.69 | + | 995.160i | −0.0647418 | + | 0.0435711i | ||||
\(806\) | 4721.79 | 0.206350 | ||||||||
\(807\) | 6115.38 | + | 7057.52i | 0.266755 | + | 0.307852i | ||||
\(808\) | 5078.21 | + | 3263.57i | 0.221103 | + | 0.142094i | ||||
\(809\) | −3318.39 | + | 23079.9i | −0.144213 | + | 1.00302i | 0.781259 | + | 0.624207i | \(0.214578\pi\) |
−0.925472 | + | 0.378816i | \(0.876331\pi\) | |||||||
\(810\) | 418.191 | − | 915.710i | 0.0181404 | − | 0.0397219i | ||||
\(811\) | 2806.53 | + | 19519.8i | 0.121517 | + | 0.845172i | 0.955838 | + | 0.293893i | \(0.0949508\pi\) |
−0.834321 | + | 0.551279i | \(0.814140\pi\) | |||||||
\(812\) | −4327.44 | − | 1270.65i | −0.187024 | − | 0.0549152i | ||||
\(813\) | 19513.5 | − | 12540.6i | 0.841783 | − | 0.540981i | ||||
\(814\) | −4871.58 | − | 10667.3i | −0.209765 | − | 0.459321i | ||||
\(815\) | 4401.31 | − | 1292.34i | 0.189167 | − | 0.0555445i | ||||
\(816\) | 2621.20 | − | 3025.02i | 0.112451 | − | 0.129776i | ||||
\(817\) | −505.393 | + | 583.255i | −0.0216419 | + | 0.0249761i | ||||
\(818\) | −1118.45 | + | 328.406i | −0.0478064 | + | 0.0140372i | ||||
\(819\) | −139.692 | − | 305.883i | −0.00595999 | − | 0.0130505i | ||||
\(820\) | 4993.57 | − | 3209.17i | 0.212662 | − | 0.136670i | ||||
\(821\) | 32899.5 | + | 9660.16i | 1.39854 | + | 0.410648i | 0.892182 | − | 0.451676i | \(-0.149174\pi\) |
0.506357 | + | 0.862324i | \(0.330992\pi\) | |||||||
\(822\) | 3158.35 | + | 21966.8i | 0.134015 | + | 0.932093i | ||||
\(823\) | 7119.75 | − | 15590.1i | 0.301554 | − | 0.660311i | −0.696824 | − | 0.717242i | \(-0.745404\pi\) |
0.998378 | + | 0.0569310i | \(0.0181315\pi\) | |||||||
\(824\) | −3699.48 | + | 25730.5i | −0.156405 | + | 1.08782i | ||||
\(825\) | 6999.00 | + | 4497.98i | 0.295362 | + | 0.189818i | ||||
\(826\) | 12322.3 | + | 14220.7i | 0.519064 | + | 0.599031i | ||||
\(827\) | 8952.68 | 0.376439 | 0.188219 | − | 0.982127i | \(-0.439728\pi\) | ||||
0.188219 | + | 0.982127i | \(0.439728\pi\) | |||||||
\(828\) | 11627.5 | − | 246.248i | 0.488024 | − | 0.0103354i | ||||
\(829\) | 2937.81 | 0.123081 | 0.0615407 | − | 0.998105i | \(-0.480399\pi\) | ||||
0.0615407 | + | 0.998105i | \(0.480399\pi\) | |||||||
\(830\) | 11843.5 | + | 13668.2i | 0.495295 | + | 0.571601i | ||||
\(831\) | −3778.65 | − | 2428.39i | −0.157737 | − | 0.101372i | ||||
\(832\) | −760.663 | + | 5290.53i | −0.0316962 | + | 0.220452i | ||||
\(833\) | −8382.51 | + | 18355.1i | −0.348663 | + | 0.763466i | ||||
\(834\) | 5023.47 | + | 34939.0i | 0.208571 | + | 1.45065i | ||||
\(835\) | 10608.0 | + | 3114.80i | 0.439648 | + | 0.129092i | ||||
\(836\) | 2544.90 | − | 1635.51i | 0.105284 | − | 0.0676619i | ||||
\(837\) | 1842.92 | + | 4035.44i | 0.0761061 | + | 0.166649i | ||||
\(838\) | −46871.5 | + | 13762.7i | −1.93216 | + | 0.567333i | ||||
\(839\) | 9996.21 | − | 11536.2i | 0.411332 | − | 0.474702i | −0.511845 | − | 0.859078i | \(-0.671038\pi\) |
0.923177 | + | 0.384375i | \(0.125583\pi\) | |||||||
\(840\) | −523.674 | + | 604.352i | −0.0215101 | + | 0.0248240i | ||||
\(841\) | 19134.1 | − | 5618.29i | 0.784539 | − | 0.230361i | ||||
\(842\) | 15637.9 | + | 34242.2i | 0.640044 | + | 1.40150i | ||||
\(843\) | −19218.6 | + | 12351.0i | −0.785198 | + | 0.504616i | ||||
\(844\) | 4878.48 | + | 1432.45i | 0.198962 | + | 0.0584206i | ||||
\(845\) | −858.473 | − | 5970.81i | −0.0349496 | − | 0.243080i | ||||
\(846\) | 2415.70 | − | 5289.65i | 0.0981720 | − | 0.214967i | ||||
\(847\) | 633.242 | − | 4404.30i | 0.0256889 | − | 0.178670i | ||||
\(848\) | −7993.19 | − | 5136.91i | −0.323688 | − | 0.208022i | ||||
\(849\) | 9982.89 | + | 11520.9i | 0.403547 | + | 0.465719i | ||||
\(850\) | 33899.2 | 1.36792 | ||||||||
\(851\) | 2009.18 | + | 12143.0i | 0.0809329 | + | 0.489138i | ||||
\(852\) | −4031.44 | −0.162106 | ||||||||
\(853\) | 25318.7 | + | 29219.4i | 1.01629 | + | 1.17286i | 0.984859 | + | 0.173358i | \(0.0554617\pi\) |
0.0314333 | + | 0.999506i | \(0.489993\pi\) | |||||||
\(854\) | 2105.67 | + | 1353.23i | 0.0843732 | + | 0.0542233i | ||||
\(855\) | −39.1117 | + | 272.028i | −0.00156443 | + | 0.0108809i | ||||
\(856\) | −12796.8 | + | 28021.0i | −0.510964 | + | 1.11885i | ||||
\(857\) | −3284.36 | − | 22843.2i | −0.130912 | − | 0.910512i | −0.944369 | − | 0.328887i | \(-0.893326\pi\) |
0.813457 | − | 0.581625i | \(-0.197583\pi\) | |||||||
\(858\) | 1957.92 | + | 574.899i | 0.0779049 | + | 0.0228750i | ||||
\(859\) | −11879.6 | + | 7634.58i | −0.471860 | + | 0.303246i | −0.754874 | − | 0.655870i | \(-0.772302\pi\) |
0.283014 | + | 0.959116i | \(0.408666\pi\) | |||||||
\(860\) | 963.633 | + | 2110.06i | 0.0382089 | + | 0.0836657i | ||||
\(861\) | 3008.11 | − | 883.260i | 0.119066 | − | 0.0349610i | ||||
\(862\) | −18172.7 | + | 20972.4i | −0.718054 | + | 0.828679i | ||||
\(863\) | 25143.8 | − | 29017.5i | 0.991779 | − | 1.14457i | 0.00228540 | − | 0.999997i | \(-0.499273\pi\) |
0.989494 | − | 0.144577i | \(-0.0461820\pi\) | |||||||
\(864\) | −5774.13 | + | 1695.44i | −0.227361 | + | 0.0667592i | ||||
\(865\) | −1355.25 | − | 2967.58i | −0.0532715 | − | 0.116648i | ||||
\(866\) | 9667.05 | − | 6212.63i | 0.379330 | − | 0.243780i | ||||
\(867\) | 1919.99 | + | 563.760i | 0.0752091 | + | 0.0220834i | ||||
\(868\) | −1581.48 | − | 10999.4i | −0.0618420 | − | 0.430121i | ||||
\(869\) | −1651.65 | + | 3616.62i | −0.0644747 | + | 0.141180i | ||||
\(870\) | −353.848 | + | 2461.07i | −0.0137892 | + | 0.0959057i | ||||
\(871\) | 5485.27 | + | 3525.17i | 0.213388 | + | 0.137136i | ||||
\(872\) | −16636.8 | − | 19199.9i | −0.646093 | − | 0.745631i | ||||
\(873\) | 2099.28 | 0.0813860 | ||||||||
\(874\) | −5093.72 | + | 1613.56i | −0.197137 | + | 0.0624479i | ||||
\(875\) | 3913.10 | 0.151185 | ||||||||
\(876\) | −16889.0 | − | 19491.0i | −0.651401 | − | 0.751757i | ||||
\(877\) | 29795.2 | + | 19148.2i | 1.14722 | + | 0.737273i | 0.969084 | − | 0.246733i | \(-0.0793570\pi\) |
0.178136 | + | 0.984006i | \(0.442993\pi\) | |||||||
\(878\) | 4932.23 | − | 34304.4i | 0.189584 | − | 1.31859i | ||||
\(879\) | −3352.35 | + | 7340.63i | −0.128637 | + | 0.281676i | ||||
\(880\) | 193.057 | + | 1342.74i | 0.00739539 | + | 0.0514361i | ||||
\(881\) | −43479.5 | − | 12766.7i | −1.66272 | − | 0.488220i | −0.690709 | − | 0.723133i | \(-0.742701\pi\) |
−0.972016 | + | 0.234913i | \(0.924519\pi\) | |||||||
\(882\) | 10410.5 | − | 6690.44i | 0.397438 | − | 0.255418i | ||||
\(883\) | −10317.0 | − | 22591.2i | −0.393200 | − | 0.860988i | −0.997915 | − | 0.0645461i | \(-0.979440\pi\) |
0.604714 | − | 0.796442i | \(-0.293287\pi\) | |||||||
\(884\) | 4740.51 | − | 1391.94i | 0.180363 | − | 0.0529592i | ||||
\(885\) | 4036.60 | − | 4658.49i | 0.153321 | − | 0.176942i | ||||
\(886\) | −10325.8 | + | 11916.6i | −0.391536 | + | 0.451857i | ||||
\(887\) | −20713.5 | + | 6082.02i | −0.784093 | + | 0.230230i | −0.649188 | − | 0.760628i | \(-0.724891\pi\) |
−0.134905 | + | 0.990859i | \(0.543073\pi\) | |||||||
\(888\) | 2293.95 | + | 5023.06i | 0.0866892 | + | 0.189823i | ||||
\(889\) | 5332.73 | − | 3427.14i | 0.201186 | − | 0.129294i | ||||
\(890\) | 292.326 | + | 85.8346i | 0.0110099 | + | 0.00323279i | ||||
\(891\) | 272.849 | + | 1897.71i | 0.0102590 | + | 0.0713532i | ||||
\(892\) | −1753.21 | + | 3839.00i | −0.0658092 | + | 0.144102i | ||||
\(893\) | −225.931 | + | 1571.38i | −0.00846638 | + | 0.0588850i | ||||
\(894\) | −26143.4 | − | 16801.4i | −0.978039 | − | 0.628548i | ||||
\(895\) | −2436.64 | − | 2812.03i | −0.0910033 | − | 0.105023i | ||||
\(896\) | 10875.3 | 0.405488 | ||||||||
\(897\) | −1825.82 | − | 1119.48i | −0.0679625 | − | 0.0416704i | ||||
\(898\) | −49974.4 | −1.85709 | ||||||||
\(899\) | −7175.43 | − | 8280.89i | −0.266200 | − | 0.307212i | ||||
\(900\) | −10392.5 | − | 6678.83i | −0.384906 | − | 0.247364i | ||||
\(901\) | −4303.21 | + | 29929.5i | −0.159113 | + | 1.10665i | ||||
\(902\) | −7903.13 | + | 17305.4i | −0.291735 | + | 0.638811i | ||||
\(903\) | 174.360 | + | 1212.70i | 0.00642562 | + | 0.0446912i | ||||
\(904\) | −10717.7 | − | 3146.99i | −0.394318 | − | 0.115782i | ||||
\(905\) | 5637.95 | − | 3623.29i | 0.207085 | − | 0.133085i | ||||
\(906\) | 14040.9 | + | 30745.3i | 0.514877 | + | 1.12742i | ||||
\(907\) | 47046.4 | − | 13814.1i | 1.72232 | − | 0.505720i | 0.736925 | − | 0.675975i | \(-0.236277\pi\) |
0.985400 | + | 0.170255i | \(0.0544591\pi\) | |||||||
\(908\) | 17038.5 | − | 19663.5i | 0.622735 | − | 0.718675i | ||||
\(909\) | 2156.72 | − | 2488.99i | 0.0786951 | − | 0.0908190i | ||||
\(910\) | 445.549 | − | 130.825i | 0.0162306 | − | 0.00476572i | ||||
\(911\) | −13217.5 | − | 28942.3i | −0.480697 | − | 1.05258i | −0.982271 | − | 0.187465i | \(-0.939973\pi\) |
0.501574 | − | 0.865115i | \(-0.332754\pi\) | |||||||
\(912\) | 563.761 | − | 362.307i | 0.0204693 | − | 0.0131548i | ||||
\(913\) | −33048.7 | − | 9703.98i | −1.19798 | − | 0.351758i | ||||
\(914\) | −9835.40 | − | 68406.7i | −0.355937 | − | 2.47559i | ||||
\(915\) | 340.621 | − | 745.857i | 0.0123067 | − | 0.0269478i | ||||
\(916\) | 6395.20 | − | 44479.6i | 0.230680 | − | 1.60442i | ||||
\(917\) | −11597.5 | − | 7453.27i | −0.417648 | − | 0.268406i | ||||
\(918\) | 5115.67 | + | 5903.80i | 0.183924 | + | 0.212260i | ||||
\(919\) | −26046.3 | −0.934917 | −0.467459 | − | 0.884015i | \(-0.654830\pi\) | ||||
−0.467459 | + | 0.884015i | \(0.654830\pi\) | |||||||
\(920\) | −617.919 | + | 5055.46i | −0.0221437 | + | 0.181167i | ||||
\(921\) | 3654.74 | 0.130758 | ||||||||
\(922\) | 35364.4 | + | 40812.7i | 1.26319 | + | 1.45780i | ||||
\(923\) | 624.540 | + | 401.368i | 0.0222719 | + | 0.0143133i | ||||
\(924\) | 683.457 | − | 4753.54i | 0.0243334 | − | 0.169243i | ||||
\(925\) | 5431.01 | − | 11892.3i | 0.193049 | − | 0.422719i | ||||
\(926\) | −4124.22 | − | 28684.6i | −0.146361 | − | 1.01796i | ||||
\(927\) | 13608.0 | + | 3995.66i | 0.482140 | + | 0.141569i | ||||
\(928\) | 12503.9 | − | 8035.77i | 0.442307 | − | 0.284253i | ||||
\(929\) | −4273.92 | − | 9358.58i | −0.150939 | − | 0.330511i | 0.819025 | − | 0.573758i | \(-0.194515\pi\) |
−0.969965 | + | 0.243246i | \(0.921788\pi\) | |||||||
\(930\) | −5878.03 | + | 1725.95i | −0.207256 | + | 0.0608559i | ||||
\(931\) | −2212.37 | + | 2553.22i | −0.0778814 | + | 0.0898800i | ||||
\(932\) | 2919.92 | − | 3369.76i | 0.102623 | − | 0.118434i | ||||
\(933\) | −12358.9 | + | 3628.89i | −0.433667 | + | 0.127336i | ||||
\(934\) | 8962.78 | + | 19625.7i | 0.313995 | + | 0.687552i | ||||
\(935\) | 3631.71 | − | 2333.96i | 0.127026 | − | 0.0816348i | ||||
\(936\) | −921.957 | − | 270.711i | −0.0321956 | − | 0.00945349i | ||||
\(937\) | 2877.48 | + | 20013.3i | 0.100323 | + | 0.697765i | 0.976459 | + | 0.215701i | \(0.0692036\pi\) |
−0.876136 | + | 0.482064i | \(0.839887\pi\) | |||||||
\(938\) | 10727.8 | − | 23490.6i | 0.373428 | − | 0.817693i | ||||
\(939\) | 3635.20 | − | 25283.4i | 0.126337 | − | 0.878692i | ||||
\(940\) | 4014.22 | + | 2579.78i | 0.139287 | + | 0.0895140i | ||||
\(941\) | 16810.5 | + | 19400.3i | 0.582365 | + | 0.672085i | 0.968112 | − | 0.250520i | \(-0.0806014\pi\) |
−0.385746 | + | 0.922605i | \(0.626056\pi\) | |||||||
\(942\) | −24762.0 | −0.856465 | ||||||||
\(943\) | 12753.4 | − | 15363.8i | 0.440411 | − | 0.530555i | ||||
\(944\) | −15030.7 | −0.518229 | ||||||||
\(945\) | 285.707 | + | 329.724i | 0.00983499 | + | 0.0113502i | ||||
\(946\) | −6254.44 | − | 4019.49i | −0.214957 | − | 0.138145i | ||||
\(947\) | 3257.72 | − | 22657.9i | 0.111786 | − | 0.777490i | −0.854395 | − | 0.519625i | \(-0.826072\pi\) |
0.966181 | − | 0.257866i | \(-0.0830192\pi\) | |||||||
\(948\) | 2452.46 | − | 5370.14i | 0.0840213 | − | 0.183981i | ||||
\(949\) | 675.895 | + | 4700.95i | 0.0231196 | + | 0.160800i | ||||
\(950\) | 5445.64 | + | 1598.98i | 0.185979 | + | 0.0546083i | ||||
\(951\) | 3475.96 | − | 2233.86i | 0.118523 | − | 0.0761704i | ||||
\(952\) | −2577.84 | − | 5644.68i | −0.0877607 | − | 0.192169i | ||||
\(953\) | 6196.16 | − | 1819.36i | 0.210612 | − | 0.0618413i | −0.174725 | − | 0.984617i | \(-0.555903\pi\) |
0.385337 | + | 0.922776i | \(0.374085\pi\) | |||||||
\(954\) | 12143.5 | − | 14014.4i | 0.412119 | − | 0.475611i | ||||
\(955\) | −1260.44 | + | 1454.63i | −0.0427089 | + | 0.0492887i | ||||
\(956\) | 19853.7 | − | 5829.58i | 0.671669 | − | 0.197220i | ||||
\(957\) | −1967.11 | − | 4307.37i | −0.0664448 | − | 0.145494i | ||||
\(958\) | 22048.7 | − | 14169.9i | 0.743593 | − | 0.477878i | ||||
\(959\) | −9228.52 | − | 2709.74i | −0.310745 | − | 0.0912430i | ||||
\(960\) | −986.907 | − | 6864.09i | −0.0331795 | − | 0.230768i | ||||
\(961\) | −1160.48 | + | 2541.09i | −0.0389539 | + | 0.0852972i | ||||
\(962\) | 456.346 | − | 3173.96i | 0.0152944 | − | 0.106375i | ||||
\(963\) | 14138.6 | + | 9086.32i | 0.473115 | + | 0.304052i | ||||
\(964\) | 1699.09 | + | 1960.85i | 0.0567676 | + | 0.0655133i | ||||
\(965\) | −7094.40 | −0.236660 | ||||||||
\(966\) | −3359.53 | + | 7788.68i | −0.111896 | + | 0.259417i | ||||
\(967\) | −4352.02 | −0.144728 | −0.0723638 | − | 0.997378i | \(-0.523054\pi\) | ||||
−0.0723638 | + | 0.997378i | \(0.523054\pi\) | |||||||
\(968\) | −8326.24 | − | 9608.99i | −0.276462 | − | 0.319055i | ||||
\(969\) | −1794.09 | − | 1152.99i | −0.0594783 | − | 0.0382244i | ||||
\(970\) | −412.559 | + | 2869.41i | −0.0136562 | + | 0.0949806i | ||||
\(971\) | 8125.69 | − | 17792.8i | 0.268554 | − | 0.588051i | −0.726525 | − | 0.687141i | \(-0.758866\pi\) |
0.995079 | + | 0.0990893i | \(0.0315929\pi\) | |||||||
\(972\) | −405.141 | − | 2817.82i | −0.0133692 | − | 0.0929851i | ||||
\(973\) | −14678.3 | − | 4309.94i | −0.483622 | − | 0.142004i | ||||
\(974\) | 60505.4 | − | 38884.5i | 1.99047 | − | 1.27920i | ||||
\(975\) | 945.034 | + | 2069.34i | 0.0310413 | + | 0.0679711i | ||||
\(976\) | −1918.42 | + | 563.299i | −0.0629171 | + | 0.0184741i | ||||
\(977\) | −31257.8 | + | 36073.4i | −1.02357 | + | 1.18126i | −0.0402813 | + | 0.999188i | \(0.512825\pi\) |
−0.983285 | + | 0.182071i | \(0.941720\pi\) | |||||||
\(978\) | 14295.7 | − | 16498.1i | 0.467408 | − | 0.539418i | ||||
\(979\) | −556.734 | + | 163.472i | −0.0181750 | + | 0.00533666i | ||||
\(980\) | 4218.33 | + | 9236.86i | 0.137500 | + | 0.301082i | ||||
\(981\) | −11660.3 | + | 7493.59i | −0.379494 | + | 0.243886i | ||||
\(982\) | −49146.1 | − | 14430.6i | −1.59706 | − | 0.468940i | ||||
\(983\) | −2496.21 | − | 17361.5i | −0.0809937 | − | 0.563323i | −0.989398 | − | 0.145230i | \(-0.953608\pi\) |
0.908404 | − | 0.418093i | \(-0.137301\pi\) | |||||||
\(984\) | 3721.46 | − | 8148.87i | 0.120565 | − | 0.264000i | ||||
\(985\) | −321.538 | + | 2236.35i | −0.0104011 | + | 0.0723410i | ||||
\(986\) | −16231.3 | − | 10431.2i | −0.524251 | − | 0.336915i | ||||
\(987\) | 1650.40 | + | 1904.67i | 0.0532248 | + | 0.0614247i | ||||
\(988\) | 827.182 | 0.0266358 | ||||||||
\(989\) | 5233.64 | + | 5787.64i | 0.168271 | + | 0.186083i | ||||
\(990\) | −2647.51 | −0.0849933 | ||||||||
\(991\) | −25913.8 | − | 29906.1i | −0.830655 | − | 0.958626i | 0.168981 | − | 0.985619i | \(-0.445952\pi\) |
−0.999636 | + | 0.0269928i | \(0.991407\pi\) | |||||||
\(992\) | 30808.4 | + | 19799.4i | 0.986057 | + | 0.633700i | ||||
\(993\) | −1562.56 | + | 10867.8i | −0.0499359 | + | 0.347312i | ||||
\(994\) | 1221.44 | − | 2674.59i | 0.0389757 | − | 0.0853449i | ||||
\(995\) | −620.176 | − | 4313.42i | −0.0197597 | − | 0.137432i | ||||
\(996\) | 49072.4 | + | 14409.0i | 1.56116 | + | 0.458399i | ||||
\(997\) | −37693.2 | + | 24224.0i | −1.19735 | + | 0.769489i | −0.978495 | − | 0.206268i | \(-0.933868\pi\) |
−0.218853 | + | 0.975758i | \(0.570232\pi\) | |||||||
\(998\) | 25184.5 | + | 55146.4i | 0.798800 | + | 1.74913i | ||||
\(999\) | 2890.71 | − | 848.789i | 0.0915496 | − | 0.0268814i |
(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 | 69.4.e.a.13.6 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.c.82.1 | 60 | |||
23.4 | even | 11 | 1587.4.a.t.1.5 | 30 | |||
23.16 | even | 11 | inner | 69.4.e.a.16.6 | yes | 60 | |
23.19 | odd | 22 | 1587.4.a.u.1.5 | 30 | |||
69.62 | odd | 22 | 207.4.i.c.154.1 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.a.13.6 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.a.16.6 | yes | 60 | 23.16 | even | 11 | inner | |
207.4.i.c.82.1 | 60 | 3.2 | odd | 2 | |||
207.4.i.c.154.1 | 60 | 69.62 | odd | 22 | |||
1587.4.a.t.1.5 | 30 | 23.4 | even | 11 | |||
1587.4.a.u.1.5 | 30 | 23.19 | odd | 22 |