Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), 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: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 33.1 | ||
Character | \(\chi\) | \(=\) | 74.33 |
Dual form | 74.4.f.b.9.1 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.347296 | − | 1.96962i | 0.122788 | − | 0.696364i | ||||
\(3\) | −1.62017 | − | 9.18845i | −0.311802 | − | 1.76832i | −0.589617 | − | 0.807683i | \(-0.700721\pi\) |
0.277815 | − | 0.960635i | \(-0.410390\pi\) | |||||||
\(4\) | −3.75877 | − | 1.36808i | −0.469846 | − | 0.171010i | ||||
\(5\) | −9.08898 | + | 7.62656i | −0.812943 | + | 0.682140i | −0.951308 | − | 0.308241i | \(-0.900260\pi\) |
0.138365 | + | 0.990381i | \(0.455815\pi\) | |||||||
\(6\) | −18.6604 | −1.26968 | ||||||||
\(7\) | 21.4230 | − | 17.9761i | 1.15674 | − | 0.970616i | 0.156880 | − | 0.987618i | \(-0.449856\pi\) |
0.999855 | + | 0.0170015i | \(0.00541201\pi\) | |||||||
\(8\) | −4.00000 | + | 6.92820i | −0.176777 | + | 0.306186i | ||||
\(9\) | −56.4309 | + | 20.5392i | −2.09003 | + | 0.760710i | ||||
\(10\) | 11.8648 | + | 20.5505i | 0.375199 | + | 0.649863i | ||||
\(11\) | −4.89440 | + | 8.47735i | −0.134156 | + | 0.232365i | −0.925275 | − | 0.379298i | \(-0.876166\pi\) |
0.791119 | + | 0.611663i | \(0.209499\pi\) | |||||||
\(12\) | −6.48069 | + | 36.7538i | −0.155901 | + | 0.884159i | ||||
\(13\) | 20.4561 | + | 7.44543i | 0.436424 | + | 0.158845i | 0.550883 | − | 0.834583i | \(-0.314291\pi\) |
−0.114459 | + | 0.993428i | \(0.536513\pi\) | |||||||
\(14\) | −27.9658 | − | 48.4382i | −0.533869 | − | 0.924689i | ||||
\(15\) | 84.8020 | + | 71.1573i | 1.45972 | + | 1.22485i | ||||
\(16\) | 12.2567 | + | 10.2846i | 0.191511 | + | 0.160697i | ||||
\(17\) | −51.5252 | + | 18.7536i | −0.735100 | + | 0.267555i | −0.682322 | − | 0.731052i | \(-0.739030\pi\) |
−0.0527780 | + | 0.998606i | \(0.516808\pi\) | |||||||
\(18\) | 20.8560 | + | 118.280i | 0.273101 | + | 1.54883i | ||||
\(19\) | −28.0212 | − | 158.916i | −0.338342 | − | 1.91883i | −0.391358 | − | 0.920238i | \(-0.627995\pi\) |
0.0530165 | − | 0.998594i | \(-0.483116\pi\) | |||||||
\(20\) | 44.5971 | − | 16.2320i | 0.498611 | − | 0.181480i | ||||
\(21\) | −199.881 | − | 167.720i | −2.07703 | − | 1.74284i | ||||
\(22\) | 14.9973 | + | 12.5842i | 0.145338 | + | 0.121953i | ||||
\(23\) | −56.1041 | − | 97.1751i | −0.508631 | − | 0.880974i | −0.999950 | − | 0.00999475i | \(-0.996819\pi\) |
0.491319 | − | 0.870980i | \(-0.336515\pi\) | |||||||
\(24\) | 70.1401 | + | 25.5289i | 0.596554 | + | 0.217128i | ||||
\(25\) | 2.73913 | − | 15.5344i | 0.0219130 | − | 0.124275i | ||||
\(26\) | 21.7690 | − | 37.7050i | 0.164202 | − | 0.284406i | ||||
\(27\) | 154.193 | + | 267.071i | 1.09906 | + | 1.90362i | ||||
\(28\) | −105.117 | + | 38.2595i | −0.709473 | + | 0.258227i | ||||
\(29\) | 90.1306 | − | 156.111i | 0.577132 | − | 0.999622i | −0.418674 | − | 0.908136i | \(-0.637505\pi\) |
0.995806 | − | 0.0914855i | \(-0.0291615\pi\) | |||||||
\(30\) | 169.604 | − | 142.315i | 1.03218 | − | 0.866099i | ||||
\(31\) | 162.666 | 0.942440 | 0.471220 | − | 0.882016i | \(-0.343814\pi\) | ||||
0.471220 | + | 0.882016i | \(0.343814\pi\) | |||||||
\(32\) | 24.5134 | − | 20.5692i | 0.135419 | − | 0.113630i | ||||
\(33\) | 85.8234 | + | 31.2372i | 0.452725 | + | 0.164779i | ||||
\(34\) | 19.0430 | + | 107.998i | 0.0960541 | + | 0.544750i | ||||
\(35\) | −57.6181 | + | 326.768i | −0.278264 | + | 1.57811i | ||||
\(36\) | 240.210 | 1.11208 | ||||||||
\(37\) | −151.194 | − | 166.714i | −0.671786 | − | 0.740745i | ||||
\(38\) | −322.735 | −1.37775 | ||||||||
\(39\) | 35.2695 | − | 200.023i | 0.144811 | − | 0.821265i | ||||
\(40\) | −16.4824 | − | 93.4766i | −0.0651526 | − | 0.369499i | ||||
\(41\) | 296.959 | + | 108.084i | 1.13115 | + | 0.411706i | 0.838711 | − | 0.544577i | \(-0.183310\pi\) |
0.292442 | + | 0.956283i | \(0.405532\pi\) | |||||||
\(42\) | −399.762 | + | 335.440i | −1.46868 | + | 1.23237i | ||||
\(43\) | −183.318 | −0.650135 | −0.325067 | − | 0.945691i | \(-0.605387\pi\) | ||||
−0.325067 | + | 0.945691i | \(0.605387\pi\) | |||||||
\(44\) | 29.9946 | − | 25.1685i | 0.102770 | − | 0.0862339i | ||||
\(45\) | 356.256 | − | 617.054i | 1.18017 | − | 2.04411i | ||||
\(46\) | −210.882 | + | 76.7549i | −0.675933 | + | 0.246019i | ||||
\(47\) | 65.0662 | + | 112.698i | 0.201933 | + | 0.349759i | 0.949151 | − | 0.314820i | \(-0.101944\pi\) |
−0.747218 | + | 0.664579i | \(0.768611\pi\) | |||||||
\(48\) | 74.6416 | − | 129.283i | 0.224450 | − | 0.388758i | ||||
\(49\) | 76.2464 | − | 432.415i | 0.222293 | − | 1.26068i | ||||
\(50\) | −29.6454 | − | 10.7901i | −0.0838500 | − | 0.0305189i | ||||
\(51\) | 255.797 | + | 443.053i | 0.702327 | + | 1.21647i | ||||
\(52\) | −66.7040 | − | 55.9713i | −0.177888 | − | 0.149266i | ||||
\(53\) | 560.763 | + | 470.536i | 1.45333 | + | 1.21949i | 0.930102 | + | 0.367300i | \(0.119718\pi\) |
0.523231 | + | 0.852191i | \(0.324727\pi\) | |||||||
\(54\) | 579.577 | − | 210.949i | 1.46056 | − | 0.531602i | ||||
\(55\) | −20.1679 | − | 114.378i | −0.0494444 | − | 0.280413i | ||||
\(56\) | 38.8497 | + | 220.327i | 0.0927055 | + | 0.525759i | ||||
\(57\) | −1414.79 | + | 514.942i | −3.28761 | + | 1.19659i | ||||
\(58\) | −276.176 | − | 231.739i | −0.625236 | − | 0.524635i | ||||
\(59\) | −233.874 | − | 196.244i | −0.516065 | − | 0.433030i | 0.347192 | − | 0.937794i | \(-0.387135\pi\) |
−0.863258 | + | 0.504764i | \(0.831580\pi\) | |||||||
\(60\) | −221.402 | − | 383.480i | −0.476382 | − | 0.825117i | ||||
\(61\) | −86.0666 | − | 31.3257i | −0.180651 | − | 0.0657515i | 0.250111 | − | 0.968217i | \(-0.419533\pi\) |
−0.430762 | + | 0.902466i | \(0.641755\pi\) | |||||||
\(62\) | 56.4932 | − | 320.389i | 0.115720 | − | 0.656281i | ||||
\(63\) | −839.708 | + | 1454.42i | −1.67926 | + | 2.90856i | ||||
\(64\) | −32.0000 | − | 55.4256i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −242.709 | + | 88.3387i | −0.463143 | + | 0.168570i | ||||
\(66\) | 91.3314 | − | 158.191i | 0.170335 | − | 0.295029i | ||||
\(67\) | 493.830 | − | 414.372i | 0.900461 | − | 0.755576i | −0.0698195 | − | 0.997560i | \(-0.522242\pi\) |
0.970280 | + | 0.241983i | \(0.0777979\pi\) | |||||||
\(68\) | 219.328 | 0.391139 | ||||||||
\(69\) | −801.990 | + | 672.950i | −1.39925 | + | 1.17411i | ||||
\(70\) | 623.597 | + | 226.971i | 1.06477 | + | 0.387546i | ||||
\(71\) | −78.6673 | − | 446.144i | −0.131494 | − | 0.745741i | −0.977237 | − | 0.212150i | \(-0.931953\pi\) |
0.845743 | − | 0.533591i | \(-0.179158\pi\) | |||||||
\(72\) | 83.4241 | − | 473.122i | 0.136550 | − | 0.774416i | ||||
\(73\) | 1040.63 | 1.66845 | 0.834227 | − | 0.551422i | \(-0.185915\pi\) | ||||
0.834227 | + | 0.551422i | \(0.185915\pi\) | |||||||
\(74\) | −380.871 | + | 239.894i | −0.598316 | + | 0.376853i | ||||
\(75\) | −147.175 | −0.226590 | ||||||||
\(76\) | −112.085 | + | 635.664i | −0.169171 | + | 0.959416i | ||||
\(77\) | 47.5364 | + | 269.593i | 0.0703543 | + | 0.398999i | ||||
\(78\) | −381.720 | − | 138.935i | −0.554118 | − | 0.201683i | ||||
\(79\) | −280.157 | + | 235.080i | −0.398989 | + | 0.334792i | −0.820103 | − | 0.572216i | \(-0.806084\pi\) |
0.421114 | + | 0.907008i | \(0.361639\pi\) | |||||||
\(80\) | −189.837 | −0.265305 | ||||||||
\(81\) | 962.066 | − | 807.270i | 1.31971 | − | 1.10737i | ||||
\(82\) | 316.018 | − | 547.358i | 0.425589 | − | 0.737142i | ||||
\(83\) | −536.011 | + | 195.092i | −0.708853 | + | 0.258001i | −0.671186 | − | 0.741289i | \(-0.734215\pi\) |
−0.0376670 | + | 0.999290i | \(0.511993\pi\) | |||||||
\(84\) | 521.853 | + | 903.875i | 0.677843 | + | 1.17406i | ||||
\(85\) | 325.286 | − | 563.412i | 0.415085 | − | 0.718948i | ||||
\(86\) | −63.6658 | + | 361.067i | −0.0798286 | + | 0.452731i | ||||
\(87\) | −1580.44 | − | 575.234i | −1.94760 | − | 0.708868i | ||||
\(88\) | −39.1552 | − | 67.8188i | −0.0474313 | − | 0.0821535i | ||||
\(89\) | −146.358 | − | 122.809i | −0.174314 | − | 0.146266i | 0.551457 | − | 0.834203i | \(-0.314072\pi\) |
−0.725770 | + | 0.687937i | \(0.758517\pi\) | |||||||
\(90\) | −1091.63 | − | 915.989i | −1.27854 | − | 1.07282i | ||||
\(91\) | 572.072 | − | 208.217i | 0.659005 | − | 0.239858i | ||||
\(92\) | 77.9390 | + | 442.014i | 0.0883228 | + | 0.500903i | ||||
\(93\) | −263.546 | − | 1494.65i | −0.293855 | − | 1.66653i | ||||
\(94\) | 244.569 | − | 89.0157i | 0.268355 | − | 0.0976731i | ||||
\(95\) | 1466.67 | + | 1230.68i | 1.58397 | + | 1.32910i | ||||
\(96\) | −228.715 | − | 191.915i | −0.243158 | − | 0.204033i | ||||
\(97\) | 533.293 | + | 923.690i | 0.558223 | + | 0.966871i | 0.997645 | + | 0.0685901i | \(0.0218501\pi\) |
−0.439422 | + | 0.898281i | \(0.644817\pi\) | |||||||
\(98\) | −825.211 | − | 300.352i | −0.850601 | − | 0.309593i | ||||
\(99\) | 102.078 | − | 578.911i | 0.103628 | − | 0.587705i | ||||
\(100\) | −31.5480 | + | 54.6428i | −0.0315480 | + | 0.0546428i | ||||
\(101\) | 188.402 | + | 326.322i | 0.185611 | + | 0.321488i | 0.943782 | − | 0.330568i | \(-0.107240\pi\) |
−0.758171 | + | 0.652056i | \(0.773907\pi\) | |||||||
\(102\) | 961.481 | − | 349.950i | 0.933341 | − | 0.339708i | ||||
\(103\) | −40.3676 | + | 69.9187i | −0.0386169 | + | 0.0668864i | −0.884688 | − | 0.466184i | \(-0.845629\pi\) |
0.846071 | + | 0.533070i | \(0.178962\pi\) | |||||||
\(104\) | −133.408 | + | 111.943i | −0.125786 | + | 0.105547i | ||||
\(105\) | 3095.84 | 2.87737 | ||||||||
\(106\) | 1121.53 | − | 941.071i | 1.02766 | − | 0.862311i | ||||
\(107\) | 28.9045 | + | 10.5204i | 0.0261150 | + | 0.00950509i | 0.355045 | − | 0.934849i | \(-0.384466\pi\) |
−0.328930 | + | 0.944354i | \(0.606688\pi\) | |||||||
\(108\) | −214.203 | − | 1214.81i | −0.190849 | − | 1.08236i | ||||
\(109\) | 234.232 | − | 1328.40i | 0.205829 | − | 1.16732i | −0.690300 | − | 0.723523i | \(-0.742521\pi\) |
0.896129 | − | 0.443793i | \(-0.146367\pi\) | |||||||
\(110\) | −232.285 | −0.201341 | ||||||||
\(111\) | −1286.88 | + | 1659.34i | −1.10041 | + | 1.41890i | ||||
\(112\) | 447.453 | 0.377503 | ||||||||
\(113\) | 146.470 | − | 830.670i | 0.121935 | − | 0.691530i | −0.861146 | − | 0.508358i | \(-0.830253\pi\) |
0.983081 | − | 0.183172i | \(-0.0586364\pi\) | |||||||
\(114\) | 522.886 | + | 2965.43i | 0.429585 | + | 2.43630i | ||||
\(115\) | 1251.04 | + | 455.342i | 1.01444 | + | 0.369225i | ||||
\(116\) | −552.352 | + | 463.479i | −0.442109 | + | 0.370973i | ||||
\(117\) | −1307.28 | −1.03298 | ||||||||
\(118\) | −467.749 | + | 392.488i | −0.364913 | + | 0.306199i | ||||
\(119\) | −766.710 | + | 1327.98i | −0.590623 | + | 1.02299i | ||||
\(120\) | −832.200 | + | 302.896i | −0.633076 | + | 0.230421i | ||||
\(121\) | 617.590 | + | 1069.70i | 0.464004 | + | 0.803679i | ||||
\(122\) | −91.5902 | + | 158.639i | −0.0679687 | + | 0.117725i | ||||
\(123\) | 512.003 | − | 2903.71i | 0.375331 | − | 2.12861i | ||||
\(124\) | −611.423 | − | 222.540i | −0.442802 | − | 0.161167i | ||||
\(125\) | −647.973 | − | 1122.32i | −0.463652 | − | 0.803069i | ||||
\(126\) | 2573.02 | + | 2159.02i | 1.81923 | + | 1.52651i | ||||
\(127\) | 1315.07 | + | 1103.48i | 0.918850 | + | 0.771007i | 0.973782 | − | 0.227483i | \(-0.0730497\pi\) |
−0.0549317 | + | 0.998490i | \(0.517494\pi\) | |||||||
\(128\) | −120.281 | + | 43.7786i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 297.007 | + | 1684.41i | 0.202713 | + | 1.14964i | ||||
\(130\) | 89.7015 | + | 508.722i | 0.0605180 | + | 0.343215i | ||||
\(131\) | 1974.44 | − | 718.639i | 1.31685 | − | 0.479296i | 0.414405 | − | 0.910092i | \(-0.363990\pi\) |
0.902449 | + | 0.430796i | \(0.141767\pi\) | |||||||
\(132\) | −279.856 | − | 234.827i | −0.184533 | − | 0.154841i | ||||
\(133\) | −3456.98 | − | 2900.75i | −2.25382 | − | 1.89118i | ||||
\(134\) | −644.649 | − | 1116.56i | −0.415591 | − | 0.719824i | ||||
\(135\) | −3438.29 | − | 1251.44i | −2.19201 | − | 0.797825i | ||||
\(136\) | 76.1718 | − | 431.992i | 0.0480270 | − | 0.272375i | ||||
\(137\) | −358.286 | + | 620.569i | −0.223434 | + | 0.386998i | −0.955848 | − | 0.293860i | \(-0.905060\pi\) |
0.732415 | + | 0.680859i | \(0.238393\pi\) | |||||||
\(138\) | 1046.92 | + | 1813.33i | 0.645798 | + | 1.11855i | ||||
\(139\) | 907.911 | − | 330.453i | 0.554014 | − | 0.201645i | −0.0498148 | − | 0.998758i | \(-0.515863\pi\) |
0.603829 | + | 0.797114i | \(0.293641\pi\) | |||||||
\(140\) | 663.618 | − | 1149.42i | 0.400614 | − | 0.693884i | ||||
\(141\) | 930.100 | − | 780.447i | 0.555522 | − | 0.466138i | ||||
\(142\) | −906.053 | −0.535453 | ||||||||
\(143\) | −163.238 | + | 136.973i | −0.0954591 | + | 0.0800997i | ||||
\(144\) | −902.895 | − | 328.627i | −0.522509 | − | 0.190178i | ||||
\(145\) | 371.393 | + | 2106.27i | 0.212707 | + | 1.20632i | ||||
\(146\) | 361.409 | − | 2049.65i | 0.204866 | − | 1.16185i | ||||
\(147\) | −4096.75 | −2.29860 | ||||||||
\(148\) | 340.224 | + | 833.484i | 0.188961 | + | 0.462919i | ||||
\(149\) | −2980.45 | −1.63871 | −0.819356 | − | 0.573285i | \(-0.805669\pi\) | ||||
−0.819356 | + | 0.573285i | \(0.805669\pi\) | |||||||
\(150\) | −51.1132 | + | 289.877i | −0.0278225 | + | 0.157789i | ||||
\(151\) | 21.6499 | + | 122.782i | 0.0116678 | + | 0.0661715i | 0.990086 | − | 0.140464i | \(-0.0448596\pi\) |
−0.978418 | + | 0.206636i | \(0.933748\pi\) | |||||||
\(152\) | 1213.09 | + | 441.527i | 0.647331 | + | 0.235609i | ||||
\(153\) | 2522.43 | − | 2116.57i | 1.33285 | − | 1.11840i | ||||
\(154\) | 547.503 | 0.286487 | ||||||||
\(155\) | −1478.47 | + | 1240.58i | −0.766150 | + | 0.642876i | ||||
\(156\) | −406.218 | + | 703.590i | −0.208484 | + | 0.361104i | ||||
\(157\) | −752.343 | + | 273.830i | −0.382443 | + | 0.139198i | −0.526085 | − | 0.850432i | \(-0.676341\pi\) |
0.143642 | + | 0.989630i | \(0.454118\pi\) | |||||||
\(158\) | 365.719 | + | 633.444i | 0.184146 | + | 0.318950i | ||||
\(159\) | 3414.96 | − | 5914.89i | 1.70330 | − | 2.95019i | ||||
\(160\) | −65.9298 | + | 373.906i | −0.0325763 | + | 0.184749i | ||||
\(161\) | −2948.75 | − | 1073.26i | −1.44344 | − | 0.525369i | ||||
\(162\) | −1255.89 | − | 2175.26i | −0.609086 | − | 1.05497i | ||||
\(163\) | −2045.09 | − | 1716.04i | −0.982724 | − | 0.824603i | 0.00177429 | − | 0.999998i | \(-0.499435\pi\) |
−0.984498 | + | 0.175395i | \(0.943880\pi\) | |||||||
\(164\) | −968.334 | − | 812.529i | −0.461062 | − | 0.386877i | ||||
\(165\) | −1018.28 | + | 370.623i | −0.480442 | + | 0.174867i | ||||
\(166\) | 198.101 | + | 1123.49i | 0.0926244 | + | 0.525299i | ||||
\(167\) | 585.724 | + | 3321.81i | 0.271405 | + | 1.53922i | 0.750153 | + | 0.661264i | \(0.229980\pi\) |
−0.478748 | + | 0.877953i | \(0.658909\pi\) | |||||||
\(168\) | 1961.52 | − | 713.936i | 0.900803 | − | 0.327865i | ||||
\(169\) | −1319.98 | − | 1107.59i | −0.600810 | − | 0.504140i | ||||
\(170\) | −996.734 | − | 836.359i | −0.449682 | − | 0.377328i | ||||
\(171\) | 4845.26 | + | 8392.24i | 2.16682 | + | 3.75304i | ||||
\(172\) | 689.052 | + | 250.794i | 0.305463 | + | 0.111180i | ||||
\(173\) | −339.868 | + | 1927.49i | −0.149362 | + | 0.847077i | 0.814398 | + | 0.580307i | \(0.197067\pi\) |
−0.963760 | + | 0.266770i | \(0.914044\pi\) | |||||||
\(174\) | −1681.87 | + | 2913.09i | −0.732772 | + | 1.26920i | ||||
\(175\) | −220.566 | − | 382.032i | −0.0952757 | − | 0.165022i | ||||
\(176\) | −147.175 | + | 53.5675i | −0.0630327 | + | 0.0229420i | ||||
\(177\) | −1424.26 | + | 2466.89i | −0.604825 | + | 1.04759i | ||||
\(178\) | −292.716 | + | 245.618i | −0.123258 | + | 0.103426i | ||||
\(179\) | 2401.06 | 1.00259 | 0.501295 | − | 0.865277i | \(-0.332857\pi\) | ||||
0.501295 | + | 0.865277i | \(0.332857\pi\) | |||||||
\(180\) | −2183.27 | + | 1831.98i | −0.904061 | + | 0.758597i | ||||
\(181\) | −835.514 | − | 304.102i | −0.343112 | − | 0.124883i | 0.164716 | − | 0.986341i | \(-0.447329\pi\) |
−0.507828 | + | 0.861458i | \(0.669551\pi\) | |||||||
\(182\) | −211.429 | − | 1199.08i | −0.0861109 | − | 0.488359i | ||||
\(183\) | −148.392 | + | 841.572i | −0.0599423 | + | 0.339950i | ||||
\(184\) | 897.665 | 0.359656 | ||||||||
\(185\) | 2645.65 | + | 362.171i | 1.05142 | + | 0.143932i | ||||
\(186\) | −3035.41 | −1.19660 | ||||||||
\(187\) | 93.2038 | − | 528.585i | 0.0364478 | − | 0.206706i | ||||
\(188\) | −90.3890 | − | 512.621i | −0.0350654 | − | 0.198866i | ||||
\(189\) | 8104.17 | + | 2949.68i | 3.11900 | + | 1.13522i | ||||
\(190\) | 2933.33 | − | 2461.36i | 1.12003 | − | 0.939819i | ||||
\(191\) | −916.149 | −0.347069 | −0.173535 | − | 0.984828i | \(-0.555519\pi\) | ||||
−0.173535 | + | 0.984828i | \(0.555519\pi\) | |||||||
\(192\) | −457.430 | + | 383.829i | −0.171938 | + | 0.144273i | ||||
\(193\) | 1197.00 | − | 2073.26i | 0.446434 | − | 0.773246i | −0.551717 | − | 0.834031i | \(-0.686027\pi\) |
0.998151 | + | 0.0607852i | \(0.0193605\pi\) | |||||||
\(194\) | 2004.52 | − | 729.587i | 0.741837 | − | 0.270007i | ||||
\(195\) | 1204.92 | + | 2086.99i | 0.442495 | + | 0.766423i | ||||
\(196\) | −878.171 | + | 1521.04i | −0.320033 | + | 0.554314i | ||||
\(197\) | 219.968 | − | 1247.50i | 0.0795537 | − | 0.451172i | −0.918846 | − | 0.394617i | \(-0.870877\pi\) |
0.998399 | − | 0.0565548i | \(-0.0180116\pi\) | |||||||
\(198\) | −1104.78 | − | 402.108i | −0.396532 | − | 0.144326i | ||||
\(199\) | 1217.65 | + | 2109.04i | 0.433755 | + | 0.751285i | 0.997193 | − | 0.0748729i | \(-0.0238551\pi\) |
−0.563438 | + | 0.826158i | \(0.690522\pi\) | |||||||
\(200\) | 96.6687 | + | 81.1147i | 0.0341776 | + | 0.0286784i | ||||
\(201\) | −4607.53 | − | 3866.17i | −1.61686 | − | 1.35671i | ||||
\(202\) | 708.161 | − | 257.749i | 0.246663 | − | 0.0897781i | ||||
\(203\) | −875.386 | − | 4964.56i | −0.302660 | − | 1.71647i | ||||
\(204\) | −355.349 | − | 2015.28i | −0.121958 | − | 0.691657i | ||||
\(205\) | −3523.37 | + | 1282.40i | −1.20040 | + | 0.436911i | ||||
\(206\) | 123.694 | + | 103.791i | 0.0418356 | + | 0.0351042i | ||||
\(207\) | 5161.90 | + | 4331.35i | 1.73322 | + | 1.45435i | ||||
\(208\) | 174.152 | + | 301.640i | 0.0580541 | + | 0.100553i | ||||
\(209\) | 1484.33 | + | 540.253i | 0.491260 | + | 0.178804i | ||||
\(210\) | 1075.18 | − | 6097.62i | 0.353305 | − | 2.00369i | ||||
\(211\) | −253.034 | + | 438.268i | −0.0825572 | + | 0.142993i | −0.904348 | − | 0.426797i | \(-0.859642\pi\) |
0.821790 | + | 0.569790i | \(0.192975\pi\) | |||||||
\(212\) | −1464.05 | − | 2535.80i | −0.474298 | − | 0.821508i | ||||
\(213\) | −3971.92 | + | 1445.66i | −1.27771 | + | 0.465047i | ||||
\(214\) | 30.7596 | − | 53.2771i | 0.00982561 | − | 0.0170185i | ||||
\(215\) | 1666.18 | − | 1398.09i | 0.528523 | − | 0.443483i | ||||
\(216\) | −2467.09 | −0.777150 | ||||||||
\(217\) | 3484.79 | − | 2924.09i | 1.09015 | − | 0.914747i | ||||
\(218\) | −2535.09 | − | 922.696i | −0.787604 | − | 0.286664i | ||||
\(219\) | −1686.01 | − | 9561.82i | −0.520227 | − | 2.95036i | ||||
\(220\) | −80.6716 | + | 457.511i | −0.0247222 | + | 0.140206i | ||||
\(221\) | −1193.64 | −0.363315 | ||||||||
\(222\) | 2821.33 | + | 3110.94i | 0.852952 | + | 0.940509i | ||||
\(223\) | −2834.81 | −0.851270 | −0.425635 | − | 0.904895i | \(-0.639949\pi\) | ||||
−0.425635 | + | 0.904895i | \(0.639949\pi\) | |||||||
\(224\) | 155.399 | − | 881.310i | 0.0463527 | − | 0.262879i | ||||
\(225\) | 164.492 | + | 932.878i | 0.0487382 | + | 0.276408i | ||||
\(226\) | −1585.23 | − | 576.978i | −0.466585 | − | 0.169823i | ||||
\(227\) | −1247.01 | + | 1046.37i | −0.364612 | + | 0.305946i | −0.806626 | − | 0.591062i | \(-0.798709\pi\) |
0.442014 | + | 0.897008i | \(0.354264\pi\) | |||||||
\(228\) | 6022.36 | 1.74930 | ||||||||
\(229\) | 2434.19 | − | 2042.53i | 0.702427 | − | 0.589406i | −0.220036 | − | 0.975492i | \(-0.570618\pi\) |
0.922463 | + | 0.386086i | \(0.126173\pi\) | |||||||
\(230\) | 1331.33 | − | 2305.93i | 0.381675 | − | 0.661081i | ||||
\(231\) | 2400.12 | − | 873.572i | 0.683620 | − | 0.248817i | ||||
\(232\) | 721.045 | + | 1248.89i | 0.204047 | + | 0.353420i | ||||
\(233\) | −1532.41 | + | 2654.22i | −0.430866 | + | 0.746281i | −0.996948 | − | 0.0780673i | \(-0.975125\pi\) |
0.566082 | + | 0.824349i | \(0.308458\pi\) | |||||||
\(234\) | −454.014 | + | 2574.84i | −0.126837 | + | 0.719328i | ||||
\(235\) | −1450.88 | − | 528.078i | −0.402745 | − | 0.146587i | ||||
\(236\) | 610.603 | + | 1057.60i | 0.168419 | + | 0.291710i | ||||
\(237\) | 2613.92 | + | 2193.34i | 0.716424 | + | 0.601151i | ||||
\(238\) | 2349.34 | + | 1971.33i | 0.639852 | + | 0.536900i | ||||
\(239\) | 2421.39 | − | 881.313i | 0.655341 | − | 0.238525i | 0.00711742 | − | 0.999975i | \(-0.497734\pi\) |
0.648224 | + | 0.761450i | \(0.275512\pi\) | |||||||
\(240\) | 307.569 | + | 1744.31i | 0.0827228 | + | 0.469144i | ||||
\(241\) | 518.320 | + | 2939.54i | 0.138539 | + | 0.785695i | 0.972330 | + | 0.233613i | \(0.0750550\pi\) |
−0.833790 | + | 0.552081i | \(0.813834\pi\) | |||||||
\(242\) | 2321.38 | − | 844.913i | 0.616627 | − | 0.224434i | ||||
\(243\) | −2597.85 | − | 2179.85i | −0.685810 | − | 0.575463i | ||||
\(244\) | 280.649 | + | 235.492i | 0.0736340 | + | 0.0617862i | ||||
\(245\) | 2604.84 | + | 4511.71i | 0.679252 | + | 1.17650i | ||||
\(246\) | −5541.38 | − | 2016.90i | −1.43620 | − | 0.522734i | ||||
\(247\) | 609.992 | − | 3459.44i | 0.157137 | − | 0.891169i | ||||
\(248\) | −650.663 | + | 1126.98i | −0.166601 | + | 0.288562i | ||||
\(249\) | 2661.02 | + | 4609.02i | 0.677250 | + | 1.17303i | ||||
\(250\) | −2435.58 | + | 886.480i | −0.616159 | + | 0.224264i | ||||
\(251\) | 1356.88 | − | 2350.19i | 0.341218 | − | 0.591007i | −0.643441 | − | 0.765496i | \(-0.722494\pi\) |
0.984659 | + | 0.174489i | \(0.0558272\pi\) | |||||||
\(252\) | 5146.03 | − | 4318.03i | 1.28639 | − | 1.07941i | ||||
\(253\) | 1098.38 | 0.272944 | ||||||||
\(254\) | 2630.15 | − | 2206.96i | 0.649725 | − | 0.545184i | ||||
\(255\) | −5703.90 | − | 2076.05i | −1.40075 | − | 0.509832i | ||||
\(256\) | 44.4539 | + | 252.111i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −984.904 | + | 5585.67i | −0.239053 | + | 1.35574i | 0.594854 | + | 0.803833i | \(0.297210\pi\) |
−0.833908 | + | 0.551904i | \(0.813901\pi\) | |||||||
\(258\) | 3420.79 | 0.825462 | ||||||||
\(259\) | −6235.88 | − | 853.650i | −1.49606 | − | 0.204800i | ||||
\(260\) | 1033.14 | 0.246433 | ||||||||
\(261\) | −1879.77 | + | 10660.7i | −0.445803 | + | 2.52827i | ||||
\(262\) | −729.725 | − | 4138.48i | −0.172071 | − | 0.975862i | ||||
\(263\) | −1231.10 | − | 448.083i | −0.288642 | − | 0.105057i | 0.193641 | − | 0.981072i | \(-0.437970\pi\) |
−0.482283 | + | 0.876015i | \(0.660192\pi\) | |||||||
\(264\) | −559.711 | + | 469.653i | −0.130484 | + | 0.109489i | ||||
\(265\) | −8685.33 | −2.01334 | ||||||||
\(266\) | −6913.96 | + | 5801.50i | −1.59369 | + | 1.33727i | ||||
\(267\) | −891.298 | + | 1543.77i | −0.204294 | + | 0.353848i | ||||
\(268\) | −2423.09 | + | 881.931i | −0.552289 | + | 0.201017i | ||||
\(269\) | 2186.32 | + | 3786.81i | 0.495547 | + | 0.858313i | 0.999987 | − | 0.00513428i | \(-0.00163430\pi\) |
−0.504440 | + | 0.863447i | \(0.668301\pi\) | |||||||
\(270\) | −3658.95 | + | 6337.49i | −0.824729 | + | 1.42847i | ||||
\(271\) | −930.706 | + | 5278.29i | −0.208621 | + | 1.18315i | 0.683017 | + | 0.730402i | \(0.260667\pi\) |
−0.891639 | + | 0.452748i | \(0.850444\pi\) | |||||||
\(272\) | −824.403 | − | 300.058i | −0.183775 | − | 0.0668886i | ||||
\(273\) | −2840.05 | − | 4919.11i | −0.629625 | − | 1.09054i | ||||
\(274\) | 1097.85 | + | 921.206i | 0.242057 | + | 0.203110i | ||||
\(275\) | 118.284 | + | 99.2519i | 0.0259374 | + | 0.0217641i | ||||
\(276\) | 3935.15 | − | 1432.28i | 0.858217 | − | 0.312366i | ||||
\(277\) | −706.412 | − | 4006.26i | −0.153228 | − | 0.868999i | −0.960388 | − | 0.278666i | \(-0.910108\pi\) |
0.807160 | − | 0.590333i | \(-0.201003\pi\) | |||||||
\(278\) | −335.550 | − | 1903.00i | −0.0723920 | − | 0.410555i | ||||
\(279\) | −9179.38 | + | 3341.02i | −1.96973 | + | 0.716924i | ||||
\(280\) | −2033.44 | − | 1706.26i | −0.434006 | − | 0.364174i | ||||
\(281\) | 1506.52 | + | 1264.12i | 0.319827 | + | 0.268367i | 0.788540 | − | 0.614984i | \(-0.210838\pi\) |
−0.468713 | + | 0.883351i | \(0.655282\pi\) | |||||||
\(282\) | −1214.16 | − | 2102.99i | −0.256391 | − | 0.444082i | ||||
\(283\) | 5302.35 | + | 1929.90i | 1.11375 | + | 0.405373i | 0.832369 | − | 0.554222i | \(-0.186984\pi\) |
0.281385 | + | 0.959595i | \(0.409206\pi\) | |||||||
\(284\) | −314.669 | + | 1784.58i | −0.0657471 | + | 0.372870i | ||||
\(285\) | 8931.78 | − | 15470.3i | 1.85640 | − | 3.21537i | ||||
\(286\) | 213.092 | + | 369.086i | 0.0440573 | + | 0.0763096i | ||||
\(287\) | 8304.70 | − | 3022.66i | 1.70805 | − | 0.621680i | ||||
\(288\) | −960.841 | + | 1664.22i | −0.196591 | + | 0.340505i | ||||
\(289\) | −1460.43 | + | 1225.44i | −0.297258 | + | 0.249429i | ||||
\(290\) | 4277.53 | 0.866157 | ||||||||
\(291\) | 7623.25 | − | 6396.67i | 1.53568 | − | 1.28859i | ||||
\(292\) | −3911.51 | − | 1423.67i | −0.783917 | − | 0.285322i | ||||
\(293\) | −453.612 | − | 2572.56i | −0.0904447 | − | 0.512937i | −0.996048 | − | 0.0888124i | \(-0.971693\pi\) |
0.905604 | − | 0.424125i | \(-0.139418\pi\) | |||||||
\(294\) | −1422.79 | + | 8069.03i | −0.282240 | + | 1.60066i | ||||
\(295\) | 3622.35 | 0.714919 | ||||||||
\(296\) | 1759.80 | − | 380.645i | 0.345562 | − | 0.0747451i | ||||
\(297\) | −3018.73 | −0.589780 | ||||||||
\(298\) | −1035.10 | + | 5870.34i | −0.201214 | + | 1.14114i | ||||
\(299\) | −424.163 | − | 2405.55i | −0.0820400 | − | 0.465272i | ||||
\(300\) | 553.195 | + | 201.347i | 0.106463 | + | 0.0387492i | ||||
\(301\) | −3927.24 | + | 3295.34i | −0.752034 | + | 0.631031i | ||||
\(302\) | 249.353 | 0.0475121 | ||||||||
\(303\) | 2693.15 | − | 2259.82i | 0.510619 | − | 0.428460i | ||||
\(304\) | 1290.94 | − | 2235.97i | 0.243554 | − | 0.421848i | ||||
\(305\) | 1021.17 | − | 371.674i | 0.191711 | − | 0.0697770i | ||||
\(306\) | −3292.80 | − | 5703.30i | −0.615153 | − | 1.06548i | ||||
\(307\) | −4746.06 | + | 8220.42i | −0.882320 | + | 1.52822i | −0.0335643 | + | 0.999437i | \(0.510686\pi\) |
−0.848755 | + | 0.528786i | \(0.822647\pi\) | |||||||
\(308\) | 190.146 | − | 1078.37i | 0.0351771 | − | 0.199499i | ||||
\(309\) | 707.847 | + | 257.635i | 0.130317 | + | 0.0474316i | ||||
\(310\) | 1930.00 | + | 3342.86i | 0.353602 | + | 0.612457i | ||||
\(311\) | −8224.95 | − | 6901.55i | −1.49966 | − | 1.25836i | −0.881383 | − | 0.472403i | \(-0.843387\pi\) |
−0.618277 | − | 0.785961i | \(-0.712169\pi\) | |||||||
\(312\) | 1244.72 | + | 1044.45i | 0.225861 | + | 0.189520i | ||||
\(313\) | −814.218 | + | 296.351i | −0.147036 | + | 0.0535168i | −0.414490 | − | 0.910054i | \(-0.636040\pi\) |
0.267454 | + | 0.963571i | \(0.413818\pi\) | |||||||
\(314\) | 278.055 | + | 1576.93i | 0.0499730 | + | 0.283411i | ||||
\(315\) | −3460.11 | − | 19623.3i | −0.618905 | − | 3.50999i | ||||
\(316\) | 1374.65 | − | 500.333i | 0.244716 | − | 0.0890695i | ||||
\(317\) | 305.717 | + | 256.527i | 0.0541664 | + | 0.0454510i | 0.669469 | − | 0.742840i | \(-0.266522\pi\) |
−0.615303 | + | 0.788291i | \(0.710966\pi\) | |||||||
\(318\) | −10464.0 | − | 8780.38i | −1.84527 | − | 1.54836i | ||||
\(319\) | 882.270 | + | 1528.14i | 0.154852 | + | 0.268211i | ||||
\(320\) | 713.554 | + | 259.713i | 0.124653 | + | 0.0453699i | ||||
\(321\) | 49.8358 | − | 282.633i | 0.00866530 | − | 0.0491434i | ||||
\(322\) | −3137.99 | + | 5435.16i | −0.543085 | + | 0.940650i | ||||
\(323\) | 4424.05 | + | 7662.68i | 0.762107 | + | 1.32001i | ||||
\(324\) | −4720.60 | + | 1718.16i | −0.809430 | + | 0.294608i | ||||
\(325\) | 171.692 | − | 297.379i | 0.0293039 | − | 0.0507558i | ||||
\(326\) | −4090.18 | + | 3432.07i | −0.694891 | + | 0.583083i | ||||
\(327\) | −12585.4 | −2.12836 | ||||||||
\(328\) | −1936.67 | + | 1625.06i | −0.326020 | + | 0.273563i | ||||
\(329\) | 3419.78 | + | 1244.70i | 0.573065 | + | 0.208579i | ||||
\(330\) | 376.341 | + | 2134.34i | 0.0627784 | + | 0.356034i | ||||
\(331\) | 75.7263 | − | 429.465i | 0.0125749 | − | 0.0713158i | −0.977875 | − | 0.209192i | \(-0.932917\pi\) |
0.990449 | + | 0.137876i | \(0.0440277\pi\) | |||||||
\(332\) | 2281.64 | 0.377173 | ||||||||
\(333\) | 11956.2 | + | 6302.42i | 1.96755 | + | 1.03715i | ||||
\(334\) | 6746.10 | 1.10518 | ||||||||
\(335\) | −1328.17 | + | 7532.44i | −0.216614 | + | 1.22848i | ||||
\(336\) | −724.950 | − | 4111.40i | −0.117706 | − | 0.667545i | ||||
\(337\) | 4761.75 | + | 1733.14i | 0.769700 | + | 0.280148i | 0.696871 | − | 0.717196i | \(-0.254575\pi\) |
0.0728293 | + | 0.997344i | \(0.476797\pi\) | |||||||
\(338\) | −2639.96 | + | 2215.19i | −0.424837 | + | 0.356481i | ||||
\(339\) | −7869.88 | −1.26086 | ||||||||
\(340\) | −1993.47 | + | 1672.72i | −0.317973 | + | 0.266811i | ||||
\(341\) | −796.151 | + | 1378.97i | −0.126434 | + | 0.218990i | ||||
\(342\) | 18212.2 | − | 6628.71i | 2.87955 | − | 1.04807i | ||||
\(343\) | −1343.55 | − | 2327.10i | −0.211501 | − | 0.366331i | ||||
\(344\) | 733.274 | − | 1270.07i | 0.114929 | − | 0.199062i | ||||
\(345\) | 2156.98 | − | 12232.9i | 0.336603 | − | 1.90897i | ||||
\(346\) | 3678.38 | + | 1338.82i | 0.571534 | + | 0.208021i | ||||
\(347\) | −3021.11 | − | 5232.72i | −0.467383 | − | 0.809531i | 0.531923 | − | 0.846793i | \(-0.321470\pi\) |
−0.999306 | + | 0.0372621i | \(0.988136\pi\) | |||||||
\(348\) | 5153.55 | + | 4324.35i | 0.793849 | + | 0.666118i | ||||
\(349\) | 3424.76 | + | 2873.71i | 0.525281 | + | 0.440763i | 0.866468 | − | 0.499232i | \(-0.166385\pi\) |
−0.341187 | + | 0.939995i | \(0.610829\pi\) | |||||||
\(350\) | −829.058 | + | 301.753i | −0.126614 | + | 0.0460839i | ||||
\(351\) | 1165.75 | + | 6611.27i | 0.177273 | + | 1.00537i | ||||
\(352\) | 54.3938 | + | 308.483i | 0.00823636 | + | 0.0467107i | ||||
\(353\) | 3620.25 | − | 1317.66i | 0.545854 | − | 0.198674i | −0.0543497 | − | 0.998522i | \(-0.517309\pi\) |
0.600203 | + | 0.799848i | \(0.295086\pi\) | |||||||
\(354\) | 4364.19 | + | 3661.99i | 0.655237 | + | 0.549809i | ||||
\(355\) | 4117.55 | + | 3455.04i | 0.615597 | + | 0.516547i | ||||
\(356\) | 382.113 | + | 661.840i | 0.0568876 | + | 0.0985321i | ||||
\(357\) | 13444.3 | + | 4893.32i | 1.99313 | + | 0.725439i | ||||
\(358\) | 833.879 | − | 4729.16i | 0.123106 | − | 0.698168i | ||||
\(359\) | 4202.19 | − | 7278.41i | 0.617781 | − | 1.07003i | −0.372109 | − | 0.928189i | \(-0.621365\pi\) |
0.989890 | − | 0.141839i | \(-0.0453015\pi\) | |||||||
\(360\) | 2850.05 | + | 4936.43i | 0.417252 | + | 0.722702i | ||||
\(361\) | −18023.7 | + | 6560.10i | −2.62775 | + | 0.956422i | ||||
\(362\) | −889.136 | + | 1540.03i | −0.129094 | + | 0.223597i | ||||
\(363\) | 8828.25 | − | 7407.78i | 1.27648 | − | 1.07110i | ||||
\(364\) | −2435.15 | −0.350649 | ||||||||
\(365\) | −9458.31 | + | 7936.46i | −1.35636 | + | 1.13812i | ||||
\(366\) | 1606.04 | + | 584.550i | 0.229369 | + | 0.0834833i | ||||
\(367\) | −231.099 | − | 1310.63i | −0.0328699 | − | 0.186415i | 0.963952 | − | 0.266076i | \(-0.0857272\pi\) |
−0.996822 | + | 0.0796613i | \(0.974616\pi\) | |||||||
\(368\) | 311.756 | − | 1768.06i | 0.0441614 | − | 0.250452i | ||||
\(369\) | −18977.7 | −2.67734 | ||||||||
\(370\) | 1632.16 | − | 5085.13i | 0.229330 | − | 0.714496i | ||||
\(371\) | 20471.6 | 2.86478 | ||||||||
\(372\) | −1054.19 | + | 5978.58i | −0.146927 | + | 0.833266i | ||||
\(373\) | −833.614 | − | 4727.66i | −0.115718 | − | 0.656271i | −0.986392 | − | 0.164410i | \(-0.947428\pi\) |
0.870674 | − | 0.491861i | \(-0.163683\pi\) | |||||||
\(374\) | −1008.74 | − | 367.151i | −0.139467 | − | 0.0507619i | ||||
\(375\) | −9262.58 | + | 7772.23i | −1.27551 | + | 1.07028i | ||||
\(376\) | −1041.06 | −0.142789 | ||||||||
\(377\) | 3006.04 | − | 2522.36i | 0.410660 | − | 0.344584i | ||||
\(378\) | 8624.27 | − | 14937.7i | 1.17350 | − | 2.03257i | ||||
\(379\) | 3688.79 | − | 1342.61i | 0.499948 | − | 0.181966i | −0.0797226 | − | 0.996817i | \(-0.525403\pi\) |
0.579671 | + | 0.814851i | \(0.303181\pi\) | |||||||
\(380\) | −3829.19 | − | 6632.35i | −0.516930 | − | 0.895349i | ||||
\(381\) | 8008.61 | − | 13871.3i | 1.07689 | − | 1.86522i | ||||
\(382\) | −318.175 | + | 1804.46i | −0.0426159 | + | 0.241687i | ||||
\(383\) | 2905.72 | + | 1057.60i | 0.387665 | + | 0.141098i | 0.528497 | − | 0.848935i | \(-0.322756\pi\) |
−0.140833 | + | 0.990033i | \(0.544978\pi\) | |||||||
\(384\) | 597.132 | + | 1034.26i | 0.0793549 | + | 0.137447i | ||||
\(385\) | −2488.12 | − | 2087.78i | −0.329367 | − | 0.276372i | ||||
\(386\) | −3667.81 | − | 3077.66i | −0.483644 | − | 0.405826i | ||||
\(387\) | 10344.8 | − | 3765.21i | 1.35880 | − | 0.494564i | ||||
\(388\) | −740.842 | − | 4201.53i | −0.0969344 | − | 0.549743i | ||||
\(389\) | −826.128 | − | 4685.20i | −0.107677 | − | 0.610667i | −0.990117 | − | 0.140242i | \(-0.955212\pi\) |
0.882440 | − | 0.470424i | \(-0.155899\pi\) | |||||||
\(390\) | 4529.04 | − | 1648.43i | 0.588043 | − | 0.214030i | ||||
\(391\) | 4713.16 | + | 3954.81i | 0.609603 | + | 0.511518i | ||||
\(392\) | 2690.87 | + | 2257.91i | 0.346708 | + | 0.290923i | ||||
\(393\) | −9802.11 | − | 16977.8i | −1.25815 | − | 2.17917i | ||||
\(394\) | −2380.70 | − | 866.506i | −0.304412 | − | 0.110797i | ||||
\(395\) | 753.493 | − | 4273.27i | 0.0959806 | − | 0.544333i | ||||
\(396\) | −1175.68 | + | 2036.34i | −0.149193 | + | 0.258410i | ||||
\(397\) | 4316.17 | + | 7475.82i | 0.545648 | + | 0.945090i | 0.998566 | + | 0.0535375i | \(0.0170497\pi\) |
−0.452918 | + | 0.891552i | \(0.649617\pi\) | |||||||
\(398\) | 4576.88 | − | 1665.85i | 0.576428 | − | 0.209803i | ||||
\(399\) | −21052.5 | + | 36464.0i | −2.64146 | + | 4.57515i | ||||
\(400\) | 193.337 | − | 162.229i | 0.0241672 | − | 0.0202787i | ||||
\(401\) | 3361.38 | 0.418602 | 0.209301 | − | 0.977851i | \(-0.432881\pi\) | ||||
0.209301 | + | 0.977851i | \(0.432881\pi\) | |||||||
\(402\) | −9215.05 | + | 7732.35i | −1.14330 | + | 0.959339i | ||||
\(403\) | 3327.51 | + | 1211.12i | 0.411304 | + | 0.149702i | ||||
\(404\) | −261.726 | − | 1484.32i | −0.0322310 | − | 0.182791i | ||||
\(405\) | −2587.51 | + | 14674.5i | −0.317468 | + | 1.80045i | ||||
\(406\) | −10082.3 | −1.23245 | ||||||||
\(407\) | 2153.29 | − | 465.757i | 0.262248 | − | 0.0567241i | ||||
\(408\) | −4092.75 | −0.496620 | ||||||||
\(409\) | 529.437 | − | 3002.59i | 0.0640073 | − | 0.363003i | −0.935934 | − | 0.352175i | \(-0.885442\pi\) |
0.999941 | − | 0.0108280i | \(-0.00344674\pi\) | |||||||
\(410\) | 1302.18 | + | 7385.06i | 0.156854 | + | 0.889566i | ||||
\(411\) | 6282.55 | + | 2286.66i | 0.754003 | + | 0.274435i | ||||
\(412\) | 247.387 | − | 207.582i | 0.0295822 | − | 0.0248224i | ||||
\(413\) | −8538.00 | −1.01726 | ||||||||
\(414\) | 10323.8 | − | 8662.70i | 1.22557 | − | 1.02838i | ||||
\(415\) | 3383.91 | − | 5861.10i | 0.400264 | − | 0.693278i | ||||
\(416\) | 654.597 | − | 238.254i | 0.0771496 | − | 0.0280802i | ||||
\(417\) | −4507.32 | − | 7806.90i | −0.529315 | − | 0.916800i | ||||
\(418\) | 1579.59 | − | 2735.94i | 0.184834 | − | 0.320141i | ||||
\(419\) | 740.702 | − | 4200.73i | 0.0863620 | − | 0.489783i | −0.910692 | − | 0.413085i | \(-0.864451\pi\) |
0.997054 | − | 0.0766979i | \(-0.0244377\pi\) | |||||||
\(420\) | −11636.6 | − | 4235.36i | −1.35192 | − | 0.492059i | ||||
\(421\) | 2425.95 | + | 4201.87i | 0.280840 | + | 0.486429i | 0.971592 | − | 0.236663i | \(-0.0760537\pi\) |
−0.690752 | + | 0.723092i | \(0.742720\pi\) | |||||||
\(422\) | 775.341 | + | 650.588i | 0.0894384 | + | 0.0750477i | ||||
\(423\) | −5986.47 | − | 5023.24i | −0.688113 | − | 0.577396i | ||||
\(424\) | −5503.02 | + | 2002.93i | −0.630307 | + | 0.229413i | ||||
\(425\) | 150.192 | + | 851.780i | 0.0171421 | + | 0.0972174i | ||||
\(426\) | 1467.96 | + | 8325.22i | 0.166955 | + | 0.946851i | ||||
\(427\) | −2406.92 | + | 876.048i | −0.272785 | + | 0.0992855i | ||||
\(428\) | −94.2528 | − | 79.0875i | −0.0106446 | − | 0.00893186i | ||||
\(429\) | 1523.04 | + | 1277.98i | 0.171406 | + | 0.143827i | ||||
\(430\) | −2175.04 | − | 3767.28i | −0.243930 | − | 0.422499i | ||||
\(431\) | −3229.00 | − | 1175.26i | −0.360871 | − | 0.131346i | 0.155220 | − | 0.987880i | \(-0.450391\pi\) |
−0.516091 | + | 0.856534i | \(0.672614\pi\) | |||||||
\(432\) | −856.812 | + | 4859.22i | −0.0954245 | + | 0.541179i | ||||
\(433\) | 7508.81 | − | 13005.6i | 0.833373 | − | 1.44344i | −0.0619750 | − | 0.998078i | \(-0.519740\pi\) |
0.895348 | − | 0.445367i | \(-0.146927\pi\) | |||||||
\(434\) | −4549.08 | − | 7879.23i | −0.503140 | − | 0.871464i | ||||
\(435\) | 18751.7 | − | 6825.05i | 2.06684 | − | 0.752267i | ||||
\(436\) | −2697.78 | + | 4672.70i | −0.296331 | + | 0.513260i | ||||
\(437\) | −13870.6 | + | 11638.8i | −1.51835 | + | 1.27405i | ||||
\(438\) | −19418.6 | −2.11840 | ||||||||
\(439\) | −2164.89 | + | 1816.56i | −0.235363 | + | 0.197493i | −0.752839 | − | 0.658205i | \(-0.771316\pi\) |
0.517476 | + | 0.855698i | \(0.326872\pi\) | |||||||
\(440\) | 873.105 | + | 317.784i | 0.0945992 | + | 0.0344313i | ||||
\(441\) | 4578.79 | + | 25967.6i | 0.494416 | + | 2.80397i | ||||
\(442\) | −414.546 | + | 2351.00i | −0.0446107 | + | 0.253000i | ||||
\(443\) | −166.451 | −0.0178517 | −0.00892587 | − | 0.999960i | \(-0.502841\pi\) | ||||
−0.00892587 | + | 0.999960i | \(0.502841\pi\) | |||||||
\(444\) | 7107.20 | − | 4476.52i | 0.759669 | − | 0.478482i | ||||
\(445\) | 2266.85 | 0.241481 | ||||||||
\(446\) | −984.520 | + | 5583.49i | −0.104526 | + | 0.592794i | ||||
\(447\) | 4828.84 | + | 27385.7i | 0.510954 | + | 2.89776i | ||||
\(448\) | −1681.87 | − | 612.151i | −0.177368 | − | 0.0645568i | ||||
\(449\) | 7247.70 | − | 6081.54i | 0.761781 | − | 0.639211i | −0.176808 | − | 0.984245i | \(-0.556577\pi\) |
0.938590 | + | 0.345035i | \(0.112133\pi\) | |||||||
\(450\) | 1894.54 | 0.198465 | ||||||||
\(451\) | −2369.71 | + | 1988.42i | −0.247417 | + | 0.207608i | ||||
\(452\) | −1686.97 | + | 2921.92i | −0.175549 | + | 0.304061i | ||||
\(453\) | 1093.10 | − | 397.857i | 0.113374 | − | 0.0412648i | ||||
\(454\) | 1627.86 | + | 2819.53i | 0.168280 | + | 0.291469i | ||||
\(455\) | −3611.57 | + | 6255.43i | −0.372117 | + | 0.644525i | ||||
\(456\) | 2091.54 | − | 11861.7i | 0.214793 | − | 1.21815i | ||||
\(457\) | −3116.09 | − | 1134.16i | −0.318959 | − | 0.116092i | 0.177579 | − | 0.984107i | \(-0.443174\pi\) |
−0.496538 | + | 0.868015i | \(0.665396\pi\) | |||||||
\(458\) | −3177.61 | − | 5503.78i | −0.324192 | − | 0.561517i | ||||
\(459\) | −12953.4 | − | 10869.2i | −1.31724 | − | 1.10529i | ||||
\(460\) | −4079.43 | − | 3423.05i | −0.413488 | − | 0.346958i | ||||
\(461\) | 3578.81 | − | 1302.58i | 0.361566 | − | 0.131599i | −0.154848 | − | 0.987938i | \(-0.549489\pi\) |
0.516414 | + | 0.856339i | \(0.327267\pi\) | |||||||
\(462\) | −887.048 | − | 5030.70i | −0.0893273 | − | 0.506600i | ||||
\(463\) | −1124.42 | − | 6376.91i | −0.112865 | − | 0.640087i | −0.987785 | − | 0.155821i | \(-0.950198\pi\) |
0.874921 | − | 0.484266i | \(-0.160913\pi\) | |||||||
\(464\) | 2710.24 | − | 986.447i | 0.271163 | − | 0.0986954i | ||||
\(465\) | 13794.4 | + | 11574.9i | 1.37570 | + | 1.15435i | ||||
\(466\) | 4695.59 | + | 3940.07i | 0.466779 | + | 0.391674i | ||||
\(467\) | −5683.64 | − | 9844.36i | −0.563185 | − | 0.975466i | −0.997216 | − | 0.0745677i | \(-0.976242\pi\) |
0.434030 | − | 0.900898i | \(-0.357091\pi\) | |||||||
\(468\) | 4913.77 | + | 1788.47i | 0.485340 | + | 0.176649i | ||||
\(469\) | 3130.55 | − | 17754.2i | 0.308220 | − | 1.74800i | ||||
\(470\) | −1544.00 | + | 2674.28i | −0.151530 | + | 0.262458i | ||||
\(471\) | 3735.00 | + | 6469.21i | 0.365392 | + | 0.632878i | ||||
\(472\) | 2295.12 | − | 835.354i | 0.223816 | − | 0.0814625i | ||||
\(473\) | 897.233 | − | 1554.05i | 0.0872195 | − | 0.151069i | ||||
\(474\) | 5227.84 | − | 4386.68i | 0.506588 | − | 0.425078i | ||||
\(475\) | −2545.41 | −0.245877 | ||||||||
\(476\) | 4698.67 | − | 3942.65i | 0.452444 | − | 0.379645i | ||||
\(477\) | −41308.8 | − | 15035.2i | −3.96520 | − | 1.44321i | ||||
\(478\) | −894.908 | − | 5075.28i | −0.0856321 | − | 0.485644i | ||||
\(479\) | −179.450 | + | 1017.71i | −0.0171175 | + | 0.0970781i | −0.992170 | − | 0.124898i | \(-0.960140\pi\) |
0.975052 | + | 0.221976i | \(0.0712507\pi\) | |||||||
\(480\) | 3542.44 | 0.336853 | ||||||||
\(481\) | −1851.58 | − | 4536.02i | −0.175520 | − | 0.429989i | ||||
\(482\) | 5969.77 | 0.564141 | ||||||||
\(483\) | −5084.08 | + | 28833.3i | −0.478952 | + | 2.71627i | ||||
\(484\) | −857.947 | − | 4865.66i | −0.0805735 | − | 0.456955i | ||||
\(485\) | −11891.7 | − | 4328.21i | −1.11335 | − | 0.405225i | ||||
\(486\) | −5195.69 | + | 4359.70i | −0.484941 | + | 0.406914i | ||||
\(487\) | 3857.69 | 0.358950 | 0.179475 | − | 0.983763i | \(-0.442560\pi\) | ||||
0.179475 | + | 0.983763i | \(0.442560\pi\) | |||||||
\(488\) | 561.297 | − | 470.984i | 0.0520671 | − | 0.0436895i | ||||
\(489\) | −12454.3 | + | 21571.5i | −1.15175 | + | 1.99488i | ||||
\(490\) | 9790.98 | − | 3563.62i | 0.902676 | − | 0.328547i | ||||
\(491\) | −5998.96 | − | 10390.5i | −0.551384 | − | 0.955024i | −0.998175 | − | 0.0603863i | \(-0.980767\pi\) |
0.446791 | − | 0.894638i | \(-0.352567\pi\) | |||||||
\(492\) | −5897.01 | + | 10213.9i | −0.540361 | + | 0.935933i | ||||
\(493\) | −1716.35 | + | 9733.92i | −0.156796 | + | 0.889236i | ||||
\(494\) | −6601.91 | − | 2402.90i | −0.601284 | − | 0.218849i | ||||
\(495\) | 3487.32 | + | 6040.22i | 0.316653 | + | 0.548460i | ||||
\(496\) | 1993.75 | + | 1672.95i | 0.180488 | + | 0.151447i | ||||
\(497\) | −9705.21 | − | 8143.64i | −0.875932 | − | 0.734994i | ||||
\(498\) | 10002.2 | − | 3640.49i | 0.900016 | − | 0.327579i | ||||
\(499\) | 982.939 | + | 5574.52i | 0.0881811 | + | 0.500100i | 0.996625 | + | 0.0820926i | \(0.0261603\pi\) |
−0.908444 | + | 0.418008i | \(0.862729\pi\) | |||||||
\(500\) | 900.155 | + | 5105.03i | 0.0805123 | + | 0.456608i | ||||
\(501\) | 29573.3 | − | 10763.8i | 2.63720 | − | 0.959862i | ||||
\(502\) | −4157.73 | − | 3488.75i | −0.369659 | − | 0.310180i | ||||
\(503\) | −10389.0 | − | 8717.43i | −0.920923 | − | 0.772746i | 0.0532428 | − | 0.998582i | \(-0.483044\pi\) |
−0.974165 | + | 0.225836i | \(0.927489\pi\) | |||||||
\(504\) | −6717.67 | − | 11635.3i | −0.593708 | − | 1.02833i | ||||
\(505\) | −4201.10 | − | 1529.08i | −0.370191 | − | 0.134739i | ||||
\(506\) | 381.464 | − | 2163.39i | 0.0335141 | − | 0.190068i | ||||
\(507\) | −8038.48 | + | 13923.1i | −0.704145 | + | 1.21962i | ||||
\(508\) | −3433.42 | − | 5946.85i | −0.299868 | − | 0.519387i | ||||
\(509\) | 243.077 | − | 88.4729i | 0.0211674 | − | 0.00770431i | −0.331415 | − | 0.943485i | \(-0.607526\pi\) |
0.352582 | + | 0.935781i | \(0.385304\pi\) | |||||||
\(510\) | −6069.96 | + | 10513.5i | −0.527024 | + | 0.912833i | ||||
\(511\) | 22293.6 | − | 18706.5i | 1.92996 | − | 1.61943i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 38121.1 | − | 31987.4i | 3.28087 | − | 2.75298i | ||||
\(514\) | 10659.6 | + | 3879.77i | 0.914734 | + | 0.332936i | ||||
\(515\) | −166.339 | − | 943.356i | −0.0142326 | − | 0.0807170i | ||||
\(516\) | 1188.03 | − | 6737.65i | 0.101357 | − | 0.574822i | ||||
\(517\) | −1273.84 | −0.108362 | ||||||||
\(518\) | −3847.06 | + | 11985.8i | −0.326313 | + | 1.01665i | ||||
\(519\) | 18261.3 | 1.54447 | ||||||||
\(520\) | 358.806 | − | 2034.89i | 0.0302590 | − | 0.171607i | ||||
\(521\) | −2062.41 | − | 11696.5i | −0.173428 | − | 0.983556i | −0.939943 | − | 0.341331i | \(-0.889122\pi\) |
0.766516 | − | 0.642226i | \(-0.221989\pi\) | |||||||
\(522\) | 20344.6 | + | 7404.83i | 1.70586 | + | 0.620882i | ||||
\(523\) | −10972.8 | + | 9207.25i | −0.917411 | + | 0.769799i | −0.973514 | − | 0.228626i | \(-0.926577\pi\) |
0.0561035 | + | 0.998425i | \(0.482132\pi\) | |||||||
\(524\) | −8404.64 | −0.700684 | ||||||||
\(525\) | −3152.93 | + | 2645.62i | −0.262105 | + | 0.219932i | ||||
\(526\) | −1310.11 | + | 2269.17i | −0.108600 | + | 0.188100i | ||||
\(527\) | −8381.39 | + | 3050.58i | −0.692788 | + | 0.252154i | ||||
\(528\) | 730.651 | + | 1265.52i | 0.0602225 | + | 0.104309i | ||||
\(529\) | −211.833 | + | 366.905i | −0.0174105 | + | 0.0301558i | ||||
\(530\) | −3016.38 | + | 17106.8i | −0.247214 | + | 1.40202i | ||||
\(531\) | 17228.4 | + | 6270.64i | 1.40801 | + | 0.512472i | ||||
\(532\) | 9025.54 | + | 15632.7i | 0.735539 | + | 1.27399i | ||||
\(533\) | 5269.91 | + | 4421.98i | 0.428265 | + | 0.359357i | ||||
\(534\) | 2731.10 | + | 2291.66i | 0.221322 | + | 0.185711i | ||||
\(535\) | −342.947 | + | 124.823i | −0.0277138 | + | 0.0100870i | ||||
\(536\) | 895.537 | + | 5078.84i | 0.0721666 | + | 0.409277i | ||||
\(537\) | −3890.13 | − | 22062.0i | −0.312610 | − | 1.77290i | ||||
\(538\) | 8217.87 | − | 2991.06i | 0.658545 | − | 0.239691i | ||||
\(539\) | 3292.55 | + | 2762.78i | 0.263117 | + | 0.220781i | ||||
\(540\) | 11211.7 | + | 9407.72i | 0.893470 | + | 0.749710i | ||||
\(541\) | 8359.49 | + | 14479.1i | 0.664330 | + | 1.15065i | 0.979466 | + | 0.201607i | \(0.0646164\pi\) |
−0.315136 | + | 0.949046i | \(0.602050\pi\) | |||||||
\(542\) | 10073.0 | + | 3666.27i | 0.798287 | + | 0.290553i | ||||
\(543\) | −1440.55 | + | 8169.78i | −0.113849 | + | 0.645670i | ||||
\(544\) | −877.312 | + | 1519.55i | −0.0691442 | + | 0.119761i | ||||
\(545\) | 8002.18 | + | 13860.2i | 0.628946 | + | 1.08937i | ||||
\(546\) | −10675.1 | + | 3885.42i | −0.836725 | + | 0.304543i | ||||
\(547\) | 6517.07 | − | 11287.9i | 0.509415 | − | 0.882333i | −0.490526 | − | 0.871427i | \(-0.663195\pi\) |
0.999941 | − | 0.0109058i | \(-0.00347148\pi\) | |||||||
\(548\) | 2195.70 | − | 1842.41i | 0.171160 | − | 0.143620i | ||||
\(549\) | 5500.22 | 0.427584 | ||||||||
\(550\) | 236.568 | − | 198.504i | 0.0183405 | − | 0.0153895i | ||||
\(551\) | −27334.0 | − | 9948.78i | −2.11337 | − | 0.769205i | ||||
\(552\) | −1454.37 | − | 8248.15i | −0.112142 | − | 0.635986i | ||||
\(553\) | −1776.01 | + | 10072.2i | −0.136571 | + | 0.774531i | ||||
\(554\) | −8136.12 | −0.623954 | ||||||||
\(555\) | −958.614 | − | 24896.2i | −0.0733170 | − | 1.90412i | ||||
\(556\) | −3864.71 | −0.294785 | ||||||||
\(557\) | 2339.80 | − | 13269.6i | 0.177990 | − | 1.00943i | −0.756646 | − | 0.653825i | \(-0.773163\pi\) |
0.934636 | − | 0.355606i | \(-0.115725\pi\) | |||||||
\(558\) | 3392.56 | + | 19240.2i | 0.257381 | + | 1.45968i | ||||
\(559\) | −3749.99 | − | 1364.88i | −0.283735 | − | 0.103271i | ||||
\(560\) | −4066.89 | + | 3412.52i | −0.306888 | + | 0.257510i | ||||
\(561\) | −5007.88 | −0.376886 | ||||||||
\(562\) | 3013.04 | − | 2528.24i | 0.226152 | − | 0.189764i | ||||
\(563\) | −10098.4 | + | 17491.0i | −0.755946 | + | 1.30934i | 0.188957 | + | 0.981985i | \(0.439489\pi\) |
−0.944903 | + | 0.327352i | \(0.893844\pi\) | |||||||
\(564\) | −4563.75 | + | 1661.07i | −0.340724 | + | 0.124013i | ||||
\(565\) | 5003.90 | + | 8667.01i | 0.372594 | + | 0.645352i | ||||
\(566\) | 5642.65 | − | 9773.35i | 0.419043 | − | 0.725803i | ||||
\(567\) | 6098.86 | − | 34588.3i | 0.451725 | − | 2.56186i | ||||
\(568\) | 3405.65 | + | 1239.55i | 0.251581 | + | 0.0915678i | ||||
\(569\) | 4636.37 | + | 8030.43i | 0.341594 | + | 0.591658i | 0.984729 | − | 0.174095i | \(-0.0556999\pi\) |
−0.643135 | + | 0.765753i | \(0.722367\pi\) | |||||||
\(570\) | −27368.6 | − | 22964.9i | −2.01113 | − | 1.68754i | ||||
\(571\) | 15787.8 | + | 13247.6i | 1.15709 | + | 0.970916i | 0.999861 | − | 0.0166456i | \(-0.00529870\pi\) |
0.157231 | + | 0.987562i | \(0.449743\pi\) | |||||||
\(572\) | 800.964 | − | 291.527i | 0.0585489 | − | 0.0213101i | ||||
\(573\) | 1484.32 | + | 8417.99i | 0.108217 | + | 0.613729i | ||||
\(574\) | −3069.29 | − | 17406.8i | −0.223188 | − | 1.26576i | ||||
\(575\) | −1663.23 | + | 605.366i | −0.120629 | + | 0.0439052i | ||||
\(576\) | 2944.19 | + | 2470.47i | 0.212976 | + | 0.178708i | ||||
\(577\) | 18210.6 | + | 15280.5i | 1.31389 | + | 1.10249i | 0.987562 | + | 0.157230i | \(0.0502564\pi\) |
0.326330 | + | 0.945256i | \(0.394188\pi\) | |||||||
\(578\) | 1906.45 | + | 3302.07i | 0.137194 | + | 0.237627i | ||||
\(579\) | −20989.4 | − | 7639.51i | −1.50654 | − | 0.548337i | ||||
\(580\) | 1485.57 | − | 8425.10i | 0.106353 | − | 0.603160i | ||||
\(581\) | −7975.99 | + | 13814.8i | −0.569535 | + | 0.986463i | ||||
\(582\) | −9951.45 | − | 17236.4i | −0.708764 | − | 1.22762i | ||||
\(583\) | −6733.49 | + | 2450.79i | −0.478341 | + | 0.174102i | ||||
\(584\) | −4162.54 | + | 7209.73i | −0.294944 | + | 0.510857i | ||||
\(585\) | 11881.9 | − | 9970.07i | 0.839751 | − | 0.704635i | ||||
\(586\) | −5224.49 | −0.368297 | ||||||||
\(587\) | −3801.77 | + | 3190.06i | −0.267318 | + | 0.224307i | −0.766587 | − | 0.642141i | \(-0.778047\pi\) |
0.499269 | + | 0.866447i | \(0.333602\pi\) | |||||||
\(588\) | 15398.8 | + | 5604.69i | 1.07999 | + | 0.393084i | ||||
\(589\) | −4558.08 | − | 25850.2i | −0.318867 | − | 1.80838i | ||||
\(590\) | 1258.03 | − | 7134.63i | 0.0877834 | − | 0.497844i | ||||
\(591\) | −11819.0 | −0.822620 | ||||||||
\(592\) | −138.552 | − | 3598.33i | −0.00961899 | − | 0.249815i | ||||
\(593\) | 14168.8 | 0.981186 | 0.490593 | − | 0.871389i | \(-0.336780\pi\) | ||||
0.490593 | + | 0.871389i | \(0.336780\pi\) | |||||||
\(594\) | −1048.40 | + | 5945.74i | −0.0724178 | + | 0.410702i | ||||
\(595\) | −3159.31 | − | 17917.4i | −0.217679 | − | 1.23452i | ||||
\(596\) | 11202.8 | + | 4077.50i | 0.769943 | + | 0.280236i | ||||
\(597\) | 17406.0 | − | 14605.4i | 1.19327 | − | 1.00127i | ||||
\(598\) | −4885.31 | −0.334072 | ||||||||
\(599\) | 12597.8 | − | 10570.8i | 0.859317 | − | 0.721052i | −0.102504 | − | 0.994733i | \(-0.532685\pi\) |
0.961821 | + | 0.273680i | \(0.0882410\pi\) | |||||||
\(600\) | 588.698 | − | 1019.66i | 0.0400558 | − | 0.0693788i | ||||
\(601\) | 24790.1 | − | 9022.87i | 1.68255 | − | 0.612397i | 0.688891 | − | 0.724865i | \(-0.258098\pi\) |
0.993655 | + | 0.112468i | \(0.0358755\pi\) | |||||||
\(602\) | 5126.64 | + | 8879.61i | 0.347087 | + | 0.601173i | ||||
\(603\) | −19356.4 | + | 33526.3i | −1.30722 | + | 2.26417i | ||||
\(604\) | 86.5994 | − | 491.130i | 0.00583391 | − | 0.0330857i | ||||
\(605\) | −13771.4 | − | 5012.37i | −0.925431 | − | 0.336829i | ||||
\(606\) | −3515.66 | − | 6089.30i | −0.235666 | − | 0.408186i | ||||
\(607\) | −1883.35 | − | 1580.32i | −0.125935 | − | 0.105672i | 0.577645 | − | 0.816288i | \(-0.303972\pi\) |
−0.703580 | + | 0.710616i | \(0.748416\pi\) | |||||||
\(608\) | −3955.67 | − | 3319.20i | −0.263854 | − | 0.221400i | ||||
\(609\) | −44198.3 | + | 16086.9i | −2.94090 | + | 1.07040i | ||||
\(610\) | −377.407 | − | 2140.38i | −0.0250505 | − | 0.142068i | ||||
\(611\) | 491.919 | + | 2789.81i | 0.0325710 | + | 0.184720i | ||||
\(612\) | −12376.9 | + | 4504.82i | −0.817493 | + | 0.297543i | ||||
\(613\) | −22052.0 | − | 18503.8i | −1.45297 | − | 1.21919i | −0.930376 | − | 0.366606i | \(-0.880520\pi\) |
−0.522595 | − | 0.852581i | \(-0.675036\pi\) | |||||||
\(614\) | 14542.8 | + | 12202.8i | 0.955861 | + | 0.802063i | ||||
\(615\) | 17491.7 | + | 30296.6i | 1.14689 | + | 1.98647i | ||||
\(616\) | −2057.94 | − | 749.028i | −0.134605 | − | 0.0489922i | ||||
\(617\) | 2268.63 | − | 12866.0i | 0.148025 | − | 0.839492i | −0.816863 | − | 0.576831i | \(-0.804289\pi\) |
0.964888 | − | 0.262661i | \(-0.0846000\pi\) | |||||||
\(618\) | 753.275 | − | 1304.71i | 0.0490310 | − | 0.0849242i | ||||
\(619\) | −718.222 | − | 1244.00i | −0.0466362 | − | 0.0807762i | 0.841765 | − | 0.539844i | \(-0.181517\pi\) |
−0.888401 | + | 0.459068i | \(0.848183\pi\) | |||||||
\(620\) | 7254.43 | − | 2640.40i | 0.469911 | − | 0.171034i | ||||
\(621\) | 17301.7 | − | 29967.5i | 1.11803 | − | 1.93648i | ||||
\(622\) | −16449.9 | + | 13803.1i | −1.06042 | + | 0.889797i | ||||
\(623\) | −5343.05 | −0.343603 | ||||||||
\(624\) | 2489.45 | − | 2088.89i | 0.159708 | − | 0.134011i | ||||
\(625\) | 16301.7 | + | 5933.34i | 1.04331 | + | 0.379734i | ||||
\(626\) | 300.923 | + | 1706.62i | 0.0192129 | + | 0.108962i | ||||
\(627\) | 2559.21 | − | 14514.0i | 0.163006 | − | 0.924456i | ||||
\(628\) | 3202.51 | 0.203494 | ||||||||
\(629\) | 10916.8 | + | 5754.53i | 0.692020 | + | 0.364783i | ||||
\(630\) | −39852.0 | −2.52022 | ||||||||
\(631\) | 4335.98 | − | 24590.5i | 0.273554 | − | 1.55140i | −0.469964 | − | 0.882685i | \(-0.655733\pi\) |
0.743518 | − | 0.668716i | \(-0.233156\pi\) | |||||||
\(632\) | −508.052 | − | 2881.30i | −0.0319766 | − | 0.181348i | ||||
\(633\) | 4436.96 | + | 1614.92i | 0.278599 | + | 0.101402i | ||||
\(634\) | 611.433 | − | 513.053i | 0.0383014 | − | 0.0321387i | ||||
\(635\) | −20368.4 | −1.27291 | ||||||||
\(636\) | −20928.1 | + | 17560.8i | −1.30480 | + | 1.09486i | ||||
\(637\) | 4779.22 | − | 8277.85i | 0.297268 | − | 0.514883i | ||||
\(638\) | 3316.25 | − | 1207.02i | 0.205786 | − | 0.0749001i | ||||
\(639\) | 13602.7 | + | 23560.6i | 0.842120 | + | 1.45859i | ||||
\(640\) | 759.349 | − | 1315.23i | 0.0468998 | − | 0.0812329i | ||||
\(641\) | −2476.20 | + | 14043.2i | −0.152581 | + | 0.865327i | 0.808384 | + | 0.588656i | \(0.200343\pi\) |
−0.960965 | + | 0.276672i | \(0.910769\pi\) | |||||||
\(642\) | −539.370 | − | 196.315i | −0.0331577 | − | 0.0120684i | ||||
\(643\) | 13326.0 | + | 23081.2i | 0.817301 | + | 1.41561i | 0.907664 | + | 0.419698i | \(0.137864\pi\) |
−0.0903625 | + | 0.995909i | \(0.528803\pi\) | |||||||
\(644\) | 9615.36 | + | 8068.24i | 0.588351 | + | 0.493685i | ||||
\(645\) | −15545.8 | − | 13044.4i | −0.949014 | − | 0.796317i | ||||
\(646\) | 16629.0 | − | 6052.46i | 1.01278 | − | 0.368623i | ||||
\(647\) | −445.774 | − | 2528.11i | −0.0270868 | − | 0.153617i | 0.968265 | − | 0.249928i | \(-0.0804069\pi\) |
−0.995351 | + | 0.0963107i | \(0.969296\pi\) | |||||||
\(648\) | 1744.66 | + | 9894.47i | 0.105767 | + | 0.599833i | ||||
\(649\) | 2808.30 | − | 1022.14i | 0.169854 | − | 0.0618220i | ||||
\(650\) | −526.095 | − | 441.446i | −0.0317464 | − | 0.0266384i | ||||
\(651\) | −32513.8 | − | 27282.3i | −1.95748 | − | 1.64252i | ||||
\(652\) | 5339.36 | + | 9248.04i | 0.320714 | + | 0.555492i | ||||
\(653\) | 5042.48 | + | 1835.31i | 0.302186 | + | 0.109987i | 0.488663 | − | 0.872473i | \(-0.337485\pi\) |
−0.186477 | + | 0.982459i | \(0.559707\pi\) | |||||||
\(654\) | −4370.87 | + | 24788.4i | −0.261337 | + | 1.48212i | ||||
\(655\) | −12464.9 | + | 21589.9i | −0.743581 | + | 1.28792i | ||||
\(656\) | 2528.14 | + | 4378.87i | 0.150468 | + | 0.260619i | ||||
\(657\) | −58724.0 | + | 21373.8i | −3.48712 | + | 1.26921i | ||||
\(658\) | 3639.25 | − | 6303.37i | 0.215612 | − | 0.373451i | ||||
\(659\) | −5631.56 | + | 4725.44i | −0.332890 | + | 0.279328i | −0.793876 | − | 0.608080i | \(-0.791940\pi\) |
0.460986 | + | 0.887407i | \(0.347496\pi\) | |||||||
\(660\) | 4334.52 | 0.255638 | ||||||||
\(661\) | −7891.58 | + | 6621.83i | −0.464368 | + | 0.389651i | −0.844735 | − | 0.535185i | \(-0.820242\pi\) |
0.380367 | + | 0.924835i | \(0.375798\pi\) | |||||||
\(662\) | −819.582 | − | 298.303i | −0.0481177 | − | 0.0175134i | ||||
\(663\) | 1933.90 | + | 10967.7i | 0.113282 | + | 0.642457i | ||||
\(664\) | 792.406 | − | 4493.96i | 0.0463122 | − | 0.262650i | ||||
\(665\) | 53543.2 | 3.12228 | ||||||||
\(666\) | 16565.7 | − | 21360.2i | 0.963824 | − | 1.24278i | ||||
\(667\) | −20226.8 | −1.17419 | ||||||||
\(668\) | 2342.90 | − | 13287.2i | 0.135703 | − | 0.769608i | ||||
\(669\) | 4592.88 | + | 26047.5i | 0.265428 | + | 1.50532i | ||||
\(670\) | 14374.7 | + | 5231.98i | 0.828873 | + | 0.301685i | ||||
\(671\) | 686.803 | − | 576.296i | 0.0395138 | − | 0.0331560i | ||||
\(672\) | −8349.64 | −0.479307 | ||||||||
\(673\) | −24665.4 | + | 20696.8i | −1.41275 | + | 1.18544i | −0.457663 | + | 0.889126i | \(0.651313\pi\) |
−0.955090 | + | 0.296315i | \(0.904242\pi\) | |||||||
\(674\) | 5067.35 | − | 8776.90i | 0.289595 | − | 0.501593i | ||||
\(675\) | 4571.13 | − | 1663.75i | 0.260656 | − | 0.0948710i | ||||
\(676\) | 3446.22 | + | 5969.03i | 0.196076 | + | 0.339613i | ||||
\(677\) | 2105.01 | − | 3645.99i | 0.119501 | − | 0.206982i | −0.800069 | − | 0.599908i | \(-0.795204\pi\) |
0.919570 | + | 0.392926i | \(0.128537\pi\) | |||||||
\(678\) | −2733.18 | + | 15500.6i | −0.154819 | + | 0.878021i | ||||
\(679\) | 28029.1 | + | 10201.7i | 1.58418 | + | 0.576593i | ||||
\(680\) | 2602.29 | + | 4507.29i | 0.146755 | + | 0.254187i | ||||
\(681\) | 11634.8 | + | 9762.80i | 0.654697 | + | 0.549356i | ||||
\(682\) | 2439.55 | + | 2047.02i | 0.136972 | + | 0.114933i | ||||
\(683\) | 5141.02 | − | 1871.18i | 0.288017 | − | 0.104830i | −0.193972 | − | 0.981007i | \(-0.562137\pi\) |
0.481988 | + | 0.876178i | \(0.339915\pi\) | |||||||
\(684\) | −6730.97 | − | 38173.2i | −0.376265 | − | 2.13390i | ||||
\(685\) | −1476.36 | − | 8372.83i | −0.0823484 | − | 0.467021i | ||||
\(686\) | −5050.10 | + | 1838.09i | −0.281070 | + | 0.102301i | ||||
\(687\) | −22711.5 | − | 19057.2i | −1.26128 | − | 1.05834i | ||||
\(688\) | −2246.88 | − | 1885.36i | −0.124508 | − | 0.104475i | ||||
\(689\) | 7967.70 | + | 13800.5i | 0.440559 | + | 0.763071i | ||||
\(690\) | −23344.9 | − | 8496.85i | −1.28801 | − | 0.468796i | ||||
\(691\) | −1469.55 | + | 8334.23i | −0.0809035 | + | 0.458827i | 0.917262 | + | 0.398284i | \(0.130394\pi\) |
−0.998166 | + | 0.0605426i | \(0.980717\pi\) | |||||||
\(692\) | 3914.45 | − | 6780.02i | 0.215036 | − | 0.372453i | ||||
\(693\) | −8219.73 | − | 14237.0i | −0.450565 | − | 0.780402i | ||||
\(694\) | −11355.7 | + | 4133.13i | −0.621117 | + | 0.226068i | ||||
\(695\) | −5731.77 | + | 9927.72i | −0.312832 | + | 0.541841i | ||||
\(696\) | 10307.1 | − | 8648.69i | 0.561336 | − | 0.471017i | ||||
\(697\) | −17327.9 | −0.941664 | ||||||||
\(698\) | 6849.51 | − | 5747.42i | 0.371430 | − | 0.311666i | ||||
\(699\) | 26870.9 | + | 9780.21i | 1.45401 | + | 0.529216i | ||||
\(700\) | 306.408 | + | 1737.72i | 0.0165445 | + | 0.0938282i | ||||
\(701\) | −3843.19 | + | 21795.8i | −0.207069 | + | 1.17435i | 0.687082 | + | 0.726580i | \(0.258891\pi\) |
−0.894151 | + | 0.447766i | \(0.852220\pi\) | |||||||
\(702\) | 13426.5 | 0.721868 | ||||||||
\(703\) | −22256.9 | + | 28698.6i | −1.19407 | + | 1.53967i | ||||
\(704\) | 626.483 | 0.0335390 | ||||||||
\(705\) | −2501.54 | + | 14186.9i | −0.133636 | + | 0.757888i | ||||
\(706\) | −1337.99 | − | 7588.11i | −0.0713256 | − | 0.404508i | ||||
\(707\) | 9902.13 | + | 3604.08i | 0.526744 | + | 0.191719i | ||||
\(708\) | 8728.38 | − | 7323.98i | 0.463323 | − | 0.388774i | ||||
\(709\) | −20794.7 | −1.10150 | −0.550748 | − | 0.834671i | \(-0.685658\pi\) | ||||
−0.550748 | + | 0.834671i | \(0.685658\pi\) | |||||||
\(710\) | 8235.10 | − | 6910.07i | 0.435293 | − | 0.365254i | ||||
\(711\) | 10981.2 | − | 19020.0i | 0.579222 | − | 1.00324i | ||||
\(712\) | 1436.28 | − | 522.762i | 0.0755994 | − | 0.0275159i | ||||
\(713\) | −9126.21 | − | 15807.1i | −0.479354 | − | 0.830265i | ||||
\(714\) | 14307.1 | − | 24780.6i | 0.749902 | − | 1.29887i | ||||
\(715\) | 439.035 | − | 2489.89i | 0.0229636 | − | 0.130233i | ||||
\(716\) | −9025.03 | − | 3284.84i | −0.471063 | − | 0.171453i | ||||
\(717\) | −12021.0 | − | 20820.9i | −0.626124 | − | 1.08448i | ||||
\(718\) | −12876.3 | − | 10804.5i | −0.669273 | − | 0.561587i | ||||
\(719\) | −11820.3 | − | 9918.41i | −0.613106 | − | 0.514457i | 0.282522 | − | 0.959261i | \(-0.408829\pi\) |
−0.895628 | + | 0.444804i | \(0.853273\pi\) | |||||||
\(720\) | 10712.7 | − | 3899.10i | 0.554498 | − | 0.201821i | ||||
\(721\) | 392.067 | + | 2223.52i | 0.0202515 | + | 0.114852i | ||||
\(722\) | 6661.30 | + | 37778.1i | 0.343363 | + | 1.94731i | ||||
\(723\) | 26170.0 | − | 9525.12i | 1.34616 | − | 0.489963i | ||||
\(724\) | 2724.47 | + | 2286.10i | 0.139854 | + | 0.117351i | ||||
\(725\) | −2178.20 | − | 1827.73i | −0.111581 | − | 0.0936278i | ||||
\(726\) | −11524.5 | − | 19961.0i | −0.589136 | − | 1.02041i | ||||
\(727\) | 15129.2 | + | 5506.57i | 0.771816 | + | 0.280918i | 0.697756 | − | 0.716336i | \(-0.254182\pi\) |
0.0740600 | + | 0.997254i | \(0.476404\pi\) | |||||||
\(728\) | −845.718 | + | 4796.30i | −0.0430555 | + | 0.244180i | ||||
\(729\) | 1134.00 | − | 1964.14i | 0.0576131 | − | 0.0997888i | ||||
\(730\) | 12346.9 | + | 21385.5i | 0.626001 | + | 1.08427i | ||||
\(731\) | 9445.52 | − | 3437.89i | 0.477914 | − | 0.173947i | ||||
\(732\) | 1709.11 | − | 2960.26i | 0.0862985 | − | 0.149473i | ||||
\(733\) | 8562.42 | − | 7184.72i | 0.431460 | − | 0.362038i | −0.401042 | − | 0.916059i | \(-0.631352\pi\) |
0.832502 | + | 0.554022i | \(0.186908\pi\) | |||||||
\(734\) | −2661.69 | −0.133849 | ||||||||
\(735\) | 37235.3 | − | 31244.1i | 1.86863 | − | 1.56797i | ||||
\(736\) | −3374.12 | − | 1228.08i | −0.168983 | − | 0.0615048i | ||||
\(737\) | 1095.78 | + | 6214.47i | 0.0547673 | + | 0.310601i | ||||
\(738\) | −6590.87 | + | 37378.7i | −0.328744 | + | 1.86440i | ||||
\(739\) | 2940.57 | 0.146374 | 0.0731871 | − | 0.997318i | \(-0.476683\pi\) | ||||
0.0731871 | + | 0.997318i | \(0.476683\pi\) | |||||||
\(740\) | −9448.91 | − | 4980.78i | −0.469390 | − | 0.247428i | ||||
\(741\) | −32775.1 | −1.62487 | ||||||||
\(742\) | 7109.72 | − | 40321.2i | 0.351760 | − | 1.99493i | ||||
\(743\) | 5740.07 | + | 32553.6i | 0.283422 | + | 1.60737i | 0.710867 | + | 0.703327i | \(0.248303\pi\) |
−0.427444 | + | 0.904042i | \(0.640586\pi\) | |||||||
\(744\) | 11409.4 | + | 4152.68i | 0.562216 | + | 0.204630i | ||||
\(745\) | 27089.3 | − | 22730.6i | 1.33218 | − | 1.11783i | ||||
\(746\) | −9601.18 | −0.471212 | ||||||||
\(747\) | 26240.5 | − | 22018.4i | 1.28526 | − | 1.07846i | ||||
\(748\) | −1073.48 | + | 1859.32i | −0.0524736 | + | 0.0908870i | ||||
\(749\) | 808.338 | − | 294.211i | 0.0394340 | − | 0.0143528i | ||||
\(750\) | 12091.4 | + | 20943.0i | 0.588689 | + | 1.01964i | ||||
\(751\) | 5608.70 | − | 9714.55i | 0.272522 | − | 0.472023i | −0.696985 | − | 0.717086i | \(-0.745475\pi\) |
0.969507 | + | 0.245063i | \(0.0788088\pi\) | |||||||
\(752\) | −361.556 | + | 2050.48i | −0.0175327 | + | 0.0994328i | ||||
\(753\) | −23793.0 | − | 8659.94i | −1.15148 | − | 0.419105i | ||||
\(754\) | −3924.10 | − | 6796.74i | −0.189532 | − | 0.328280i | ||||
\(755\) | −1133.18 | − | 950.853i | −0.0546235 | − | 0.0458346i | ||||
\(756\) | −26426.3 | − | 22174.3i | −1.27132 | − | 1.06676i | ||||
\(757\) | −3350.26 | + | 1219.40i | −0.160855 | + | 0.0585465i | −0.421193 | − | 0.906971i | \(-0.638388\pi\) |
0.260337 | + | 0.965518i | \(0.416166\pi\) | |||||||
\(758\) | −1363.32 | − | 7731.78i | −0.0653272 | − | 0.370489i | ||||
\(759\) | −1779.57 | − | 10092.4i | −0.0851044 | − | 0.482651i | ||||
\(760\) | −14393.1 | + | 5238.64i | −0.686962 | + | 0.250034i | ||||
\(761\) | −8642.53 | − | 7251.94i | −0.411684 | − | 0.345444i | 0.413305 | − | 0.910593i | \(-0.364374\pi\) |
−0.824989 | + | 0.565149i | \(0.808819\pi\) | |||||||
\(762\) | −24539.8 | − | 20591.3i | −1.16664 | − | 0.978931i | ||||
\(763\) | −18861.4 | − | 32668.9i | −0.894926 | − | 1.55006i | ||||
\(764\) | 3443.59 | + | 1253.37i | 0.163069 | + | 0.0593523i | ||||
\(765\) | −6784.17 | + | 38474.9i | −0.320630 | + | 1.81839i | ||||
\(766\) | 3092.21 | − | 5355.86i | 0.145856 | − | 0.252631i | ||||
\(767\) | −3323.05 | − | 5755.69i | −0.156439 | − | 0.270960i | ||||
\(768\) | 2244.48 | − | 816.925i | 0.105457 | − | 0.0383831i | ||||
\(769\) | 6905.74 | − | 11961.1i | 0.323833 | − | 0.560895i | −0.657443 | − | 0.753504i | \(-0.728362\pi\) |
0.981275 | + | 0.192610i | \(0.0616952\pi\) | |||||||
\(770\) | −4976.24 | + | 4175.56i | −0.232898 | + | 0.195425i | ||||
\(771\) | 52919.4 | 2.47191 | ||||||||
\(772\) | −7335.62 | + | 6155.32i | −0.341988 | + | 0.286962i | ||||
\(773\) | −16943.5 | − | 6166.92i | −0.788376 | − | 0.286945i | −0.0837152 | − | 0.996490i | \(-0.526679\pi\) |
−0.704661 | + | 0.709544i | \(0.748901\pi\) | |||||||
\(774\) | −3823.29 | − | 21683.0i | −0.177552 | − | 1.00695i | ||||
\(775\) | 445.562 | − | 2526.91i | 0.0206517 | − | 0.117122i | ||||
\(776\) | −8532.68 | −0.394723 | ||||||||
\(777\) | 2259.49 | + | 58681.2i | 0.104323 | + | 2.70936i | ||||
\(778\) | −9514.96 | −0.438468 | ||||||||
\(779\) | 8855.18 | − | 50220.2i | 0.407278 | − | 2.30979i | ||||
\(780\) | −1673.86 | − | 9492.96i | −0.0768384 | − | 0.435772i | ||||
\(781\) | 4167.15 | + | 1516.72i | 0.190925 | + | 0.0694910i | ||||
\(782\) | 9426.32 | − | 7909.62i | 0.431055 | − | 0.361698i | ||||
\(783\) | 55590.1 | 2.53720 | ||||||||
\(784\) | 5381.74 | − | 4515.82i | 0.245160 | − | 0.205713i | ||||
\(785\) | 4749.65 | − | 8226.63i | 0.215952 | − | 0.374039i | ||||
\(786\) | −36843.9 | + | 13410.1i | −1.67198 | + | 0.608552i | ||||
\(787\) | 10501.1 | + | 18188.4i | 0.475632 | + | 0.823818i | 0.999610 | − | 0.0279130i | \(-0.00888614\pi\) |
−0.523979 | + | 0.851731i | \(0.675553\pi\) | |||||||
\(788\) | −2533.49 | + | 4388.14i | −0.114533 | + | 0.198377i | ||||
\(789\) | −2122.60 | + | 12037.9i | −0.0957750 | + | 0.543167i | ||||
\(790\) | −8155.02 | − | 2968.18i | −0.367269 | − | 0.133675i | ||||
\(791\) | −11794.4 | − | 20428.4i | −0.530163 | − | 0.918270i | ||||
\(792\) | 3602.51 | + | 3022.86i | 0.161628 | + | 0.135622i | ||||
\(793\) | −1527.36 | − | 1281.61i | −0.0683961 | − | 0.0573911i | ||||
\(794\) | 16223.5 | − | 5904.86i | 0.725126 | − | 0.263924i | ||||
\(795\) | 14071.7 | + | 79804.7i | 0.627764 | + | 3.56023i | ||||
\(796\) | −1691.55 | − | 9593.24i | −0.0753207 | − | 0.427165i | ||||
\(797\) | −20776.4 | + | 7561.98i | −0.923384 | + | 0.336084i | −0.759584 | − | 0.650409i | \(-0.774597\pi\) |
−0.163800 | + | 0.986494i | \(0.552375\pi\) | |||||||
\(798\) | 64508.6 | + | 54129.1i | 2.86163 | + | 2.40119i | ||||
\(799\) | −5466.04 | − | 4586.56i | −0.242021 | − | 0.203080i | ||||
\(800\) | −252.384 | − | 437.142i | −0.0111539 | − | 0.0193191i | ||||
\(801\) | 10781.5 | + | 3924.15i | 0.475588 | + | 0.173100i | ||||
\(802\) | 1167.40 | − | 6620.63i | 0.0513992 | − | 0.291500i | ||||
\(803\) | −5093.28 | + | 8821.82i | −0.223833 | + | 0.387690i | ||||
\(804\) | 12029.4 | + | 20835.5i | 0.527667 | + | 0.913946i | ||||
\(805\) | 34986.3 | − | 12734.0i | 1.53181 | − | 0.557533i | ||||
\(806\) | 3541.07 | − | 6133.31i | 0.154750 | − | 0.268035i | ||||
\(807\) | 31252.7 | − | 26224.2i | 1.36326 | − | 1.14391i | ||||
\(808\) | −3014.43 | −0.131247 | ||||||||
\(809\) | −27107.9 | + | 22746.2i | −1.17807 | + | 0.988522i | −0.178085 | + | 0.984015i | \(0.556990\pi\) |
−0.999990 | + | 0.00450674i | \(0.998565\pi\) | |||||||
\(810\) | 28004.5 | + | 10192.8i | 1.21479 | + | 0.442147i | ||||
\(811\) | −2338.24 | − | 13260.8i | −0.101241 | − | 0.574168i | −0.992655 | − | 0.120978i | \(-0.961397\pi\) |
0.891414 | − | 0.453190i | \(-0.149714\pi\) | |||||||
\(812\) | −3501.54 | + | 19858.2i | −0.151330 | + | 0.858236i | ||||
\(813\) | 50007.2 | 2.15723 | ||||||||
\(814\) | −169.532 | − | 4402.91i | −0.00729986 | − | 0.189585i | ||||
\(815\) | 31675.3 | 1.36139 | ||||||||
\(816\) | −1421.40 | + | 8061.13i | −0.0609789 | + | 0.345829i | ||||
\(817\) | 5136.80 | + | 29132.2i | 0.219968 | + | 1.24750i | ||||
\(818\) | −5730.07 | − | 2085.57i | −0.244923 | − | 0.0891447i | ||||
\(819\) | −28006.0 | + | 23499.8i | −1.19488 | + | 1.00262i | ||||
\(820\) | 14998.0 | 0.638722 | ||||||||
\(821\) | −22855.7 | + | 19178.2i | −0.971583 | + | 0.815255i | −0.982798 | − | 0.184682i | \(-0.940875\pi\) |
0.0112151 | + | 0.999937i | \(0.496430\pi\) | |||||||
\(822\) | 6685.75 | − | 11580.1i | 0.283689 | − | 0.491364i | ||||
\(823\) | −31683.9 | + | 11532.0i | −1.34196 | + | 0.488433i | −0.910429 | − | 0.413666i | \(-0.864248\pi\) |
−0.431530 | + | 0.902099i | \(0.642026\pi\) | |||||||
\(824\) | −322.941 | − | 559.350i | −0.0136531 | − | 0.0236479i | ||||
\(825\) | 720.331 | − | 1247.65i | 0.0303984 | − | 0.0526516i | ||||
\(826\) | −2965.21 | + | 16816.6i | −0.124907 | + | 0.708382i | ||||
\(827\) | −21485.4 | − | 7820.05i | −0.903411 | − | 0.328815i | −0.151792 | − | 0.988412i | \(-0.548505\pi\) |
−0.751619 | + | 0.659598i | \(0.770727\pi\) | |||||||
\(828\) | −13476.8 | − | 23342.4i | −0.565640 | − | 0.979717i | ||||
\(829\) | 2536.77 | + | 2128.60i | 0.106279 | + | 0.0891789i | 0.694379 | − | 0.719610i | \(-0.255679\pi\) |
−0.588100 | + | 0.808789i | \(0.700124\pi\) | |||||||
\(830\) | −10368.9 | − | 8700.54i | −0.433626 | − | 0.363856i | ||||
\(831\) | −35666.8 | + | 12981.7i | −1.48889 | + | 0.541912i | ||||
\(832\) | −241.929 | − | 1372.05i | −0.0100810 | − | 0.0571721i | ||||
\(833\) | 4180.74 | + | 23710.2i | 0.173894 | + | 0.986204i | ||||
\(834\) | −16942.0 | + | 6166.37i | −0.703420 | + | 0.256024i | ||||
\(835\) | −30657.6 | − | 25724.8i | −1.27060 | − | 1.06616i | ||||
\(836\) | −4840.15 | − | 4061.37i | −0.200239 | − | 0.168021i | ||||
\(837\) | 25082.0 | + | 43443.2i | 1.03579 | + | 1.79405i | ||||
\(838\) | −8016.58 | − | 2917.80i | −0.330463 | − | 0.120279i | ||||
\(839\) | 4946.16 | − | 28051.1i | 0.203529 | − | 1.15427i | −0.696210 | − | 0.717838i | \(-0.745132\pi\) |
0.899738 | − | 0.436430i | \(-0.143757\pi\) | |||||||
\(840\) | −12383.4 | + | 21448.6i | −0.508651 | + | 0.881010i | ||||
\(841\) | −4052.54 | − | 7019.21i | −0.166163 | − | 0.287802i | ||||
\(842\) | 9118.59 | − | 3318.89i | 0.373215 | − | 0.135839i | ||||
\(843\) | 9174.47 | − | 15890.7i | 0.374835 | − | 0.649233i | ||||
\(844\) | 1550.68 | − | 1301.18i | 0.0632425 | − | 0.0530667i | ||||
\(845\) | 20444.4 | 0.832319 | ||||||||
\(846\) | −11972.9 | + | 10046.5i | −0.486570 | + | 0.408280i | ||||
\(847\) | 32459.6 | + | 11814.3i | 1.31679 | + | 0.479274i | ||||
\(848\) | 2033.83 | + | 11534.4i | 0.0823610 | + | 0.467092i | ||||
\(849\) | 9142.06 | − | 51847.2i | 0.369558 | − | 2.09587i | ||||
\(850\) | 1729.84 | 0.0698036 | ||||||||
\(851\) | −7717.85 | + | 24045.6i | −0.310887 | + | 0.968592i | ||||
\(852\) | 16907.3 | 0.679853 | ||||||||
\(853\) | −8055.98 | + | 45687.7i | −0.323366 | + | 1.83390i | 0.197548 | + | 0.980293i | \(0.436702\pi\) |
−0.520915 | + | 0.853609i | \(0.674409\pi\) | |||||||
\(854\) | 889.562 | + | 5044.96i | 0.0356442 | + | 0.202149i | ||||
\(855\) | −108042. | − | 39324.2i | −4.32161 | − | 1.57294i | ||||
\(856\) | −188.506 | + | 158.175i | −0.00752685 | + | 0.00631578i | ||||
\(857\) | 19106.6 | 0.761574 | 0.380787 | − | 0.924663i | \(-0.375653\pi\) | ||||
0.380787 | + | 0.924663i | \(0.375653\pi\) | |||||||
\(858\) | 3046.08 | − | 2555.97i | 0.121202 | − | 0.101701i | ||||
\(859\) | −15533.5 | + | 26904.9i | −0.616993 | + | 1.06866i | 0.373038 | + | 0.927816i | \(0.378316\pi\) |
−0.990031 | + | 0.140847i | \(0.955017\pi\) | |||||||
\(860\) | −8175.48 | + | 2975.63i | −0.324165 | + | 0.117986i | ||||
\(861\) | −41228.6 | − | 71410.1i | −1.63190 | − | 2.82654i | ||||
\(862\) | −3436.23 | + | 5951.73i | −0.135775 | + | 0.235170i | ||||
\(863\) | 7924.02 | − | 44939.4i | 0.312557 | − | 1.77260i | −0.273046 | − | 0.962001i | \(-0.588031\pi\) |
0.585603 | − | 0.810598i | \(-0.300858\pi\) | |||||||
\(864\) | 9273.24 | + | 3375.18i | 0.365141 | + | 0.132900i | ||||
\(865\) | −11611.1 | − | 20110.9i | −0.456402 | − | 0.790511i | ||||
\(866\) | −23008.3 | − | 19306.3i | −0.902835 | − | 0.757569i | ||||
\(867\) | 13626.1 | + | 11433.6i | 0.533755 | + | 0.447874i | ||||
\(868\) | −17098.9 | + | 6223.50i | −0.668636 | + | 0.243363i | ||||
\(869\) | −621.652 | − | 3525.56i | −0.0242671 | − | 0.137625i | ||||
\(870\) | −6930.34 | − | 39303.9i | −0.270069 | − | 1.53164i | ||||
\(871\) | 13187.0 | − | 4799.69i | 0.513003 | − | 0.186718i | ||||
\(872\) | 8266.48 | + | 6936.40i | 0.321030 | + | 0.269376i | ||||
\(873\) | −49066.0 | − | 41171.3i | −1.90221 | − | 1.59615i | ||||
\(874\) | 18106.7 | + | 31361.8i | 0.700766 | + | 1.21376i | ||||
\(875\) | −34056.5 | − | 12395.6i | −1.31579 | − | 0.478910i | ||||
\(876\) | −6744.03 | + | 38247.3i | −0.260114 | + | 1.47518i | ||||
\(877\) | 10576.2 | − | 18318.5i | 0.407222 | − | 0.705329i | −0.587355 | − | 0.809329i | \(-0.699831\pi\) |
0.994577 | + | 0.104000i | \(0.0331643\pi\) | |||||||
\(878\) | 2826.06 | + | 4894.88i | 0.108627 | + | 0.188148i | ||||
\(879\) | −22902.9 | + | 8335.98i | −0.878835 | + | 0.319870i | ||||
\(880\) | 929.139 | − | 1609.32i | 0.0355923 | − | 0.0616477i | ||||
\(881\) | −17015.0 | + | 14277.3i | −0.650681 | + | 0.545986i | −0.907278 | − | 0.420532i | \(-0.861843\pi\) |
0.256596 | + | 0.966519i | \(0.417399\pi\) | |||||||
\(882\) | 52736.4 | 2.01330 | ||||||||
\(883\) | −11369.0 | + | 9539.69i | −0.433291 | + | 0.363574i | −0.833192 | − | 0.552984i | \(-0.813489\pi\) |
0.399901 | + | 0.916558i | \(0.369045\pi\) | |||||||
\(884\) | 4486.61 | + | 1632.99i | 0.170702 | + | 0.0621306i | ||||
\(885\) | −5868.82 | − | 33283.8i | −0.222913 | − | 1.26420i | ||||
\(886\) | −57.8078 | + | 327.844i | −0.00219198 | + | 0.0124313i | ||||
\(887\) | −16872.2 | −0.638683 | −0.319341 | − | 0.947640i | \(-0.603462\pi\) | ||||
−0.319341 | + | 0.947640i | \(0.603462\pi\) | |||||||
\(888\) | −6348.72 | − | 15553.1i | −0.239920 | − | 0.587758i | ||||
\(889\) | 48009.1 | 1.81122 | ||||||||
\(890\) | 787.270 | − | 4464.83i | 0.0296510 | − | 0.168159i | ||||
\(891\) | 2134.77 | + | 12106.9i | 0.0802665 | + | 0.455214i | ||||
\(892\) | 10655.4 | + | 3878.25i | 0.399966 | + | 0.145576i | ||||
\(893\) | 16086.3 | − | 13498.0i | 0.602806 | − | 0.505815i | ||||
\(894\) | 55616.4 | 2.08064 | ||||||||
\(895\) | −21823.2 | + | 18311.8i | −0.815048 | + | 0.683907i | ||||
\(896\) | −1789.81 | + | 3100.04i | −0.0667337 | + | 0.115586i | ||||
\(897\) | −21416.0 | + | 7794.80i | −0.797169 | + | 0.290146i | ||||
\(898\) | −9461.19 | − | 16387.3i | −0.351586 | − | 0.608965i | ||||
\(899\) | 14661.2 | − | 25393.9i | 0.543912 | − | 0.942083i | ||||
\(900\) | 657.966 | − | 3731.51i | 0.0243691 | − | 0.138204i | ||||
\(901\) | −37717.7 | − | 13728.1i | −1.39463 | − | 0.507602i | ||||
\(902\) | 3093.43 | + | 5357.98i | 0.114191 | + | 0.197784i | ||||
\(903\) | 36641.9 | + | 30746.2i | 1.35035 | + | 1.13308i | ||||
\(904\) | 5169.17 | + | 4337.45i | 0.190182 | + | 0.159581i | ||||
\(905\) | 9913.23 | − | 3608.12i | 0.364118 | − | 0.132528i | ||||
\(906\) | −403.995 | − | 2291.17i | −0.0148144 | − | 0.0840165i | ||||
\(907\) | 6924.38 | + | 39270.1i | 0.253495 | + | 1.43764i | 0.799905 | + | 0.600126i | \(0.204883\pi\) |
−0.546410 | + | 0.837518i | \(0.684006\pi\) | |||||||
\(908\) | 6118.74 | − | 2227.04i | 0.223632 | − | 0.0813952i | ||||
\(909\) | −17334.1 | − | 14545.0i | −0.632493 | − | 0.530724i | ||||
\(910\) | 11066.5 | + | 9285.90i | 0.403133 | + | 0.338269i | ||||
\(911\) | −9111.05 | − | 15780.8i | −0.331353 | − | 0.573920i | 0.651425 | − | 0.758713i | \(-0.274172\pi\) |
−0.982777 | + | 0.184793i | \(0.940838\pi\) | |||||||
\(912\) | −22636.7 | − | 8239.07i | −0.821902 | − | 0.299148i | ||||
\(913\) | 969.588 | − | 5498.80i | 0.0351464 | − | 0.199325i | ||||
\(914\) | −3316.07 | + | 5743.61i | −0.120006 | + | 0.207857i | ||||
\(915\) | −5069.57 | − | 8780.75i | −0.183164 | − | 0.317249i | ||||
\(916\) | −11943.9 | + | 4347.22i | −0.430827 | + | 0.156808i | ||||
\(917\) | 29380.3 | − | 50888.2i | 1.05804 | − | 1.83258i | ||||
\(918\) | −25906.8 | + | 21738.4i | −0.931428 | + | 0.781561i | ||||
\(919\) | −2391.56 | −0.0858437 | −0.0429219 | − | 0.999078i | \(-0.513667\pi\) | ||||
−0.0429219 | + | 0.999078i | \(0.513667\pi\) | |||||||
\(920\) | −8158.86 | + | 6846.10i | −0.292380 | + | 0.245336i | ||||
\(921\) | 83222.4 | + | 30290.5i | 2.97749 | + | 1.08372i | ||||
\(922\) | −1322.68 | − | 7501.27i | −0.0472451 | − | 0.267940i | ||||
\(923\) | 1712.51 | − | 9712.10i | 0.0610702 | − | 0.346346i | ||||
\(924\) | −10216.6 | −0.363747 | ||||||||
\(925\) | −3003.93 | + | 1892.05i | −0.106777 | + | 0.0672542i | ||||
\(926\) | −12950.6 | −0.459592 | ||||||||
\(927\) | 841.908 | − | 4774.70i | 0.0298294 | − | 0.169171i | ||||
\(928\) | −1001.66 | − | 5680.72i | −0.0354324 | − | 0.200947i | ||||
\(929\) | 7928.97 | + | 2885.91i | 0.280023 | + | 0.101920i | 0.478214 | − | 0.878243i | \(-0.341284\pi\) |
−0.198191 | + | 0.980163i | \(0.563507\pi\) | |||||||
\(930\) | 27588.8 | − | 23149.7i | 0.972764 | − | 0.816246i | ||||
\(931\) | −70854.1 | −2.49425 | ||||||||
\(932\) | 9391.17 | − | 7880.13i | 0.330062 | − | 0.276955i | ||||
\(933\) | −50088.7 | + | 86756.2i | −1.75759 | + | 3.04423i | ||||
\(934\) | −21363.5 | + | 7775.68i | −0.748432 | + | 0.272407i | ||||
\(935\) | 3184.16 | + | 5515.12i | 0.111372 | + | 0.192902i | ||||
\(936\) | 5229.13 | − | 9057.12i | 0.182606 | − | 0.316283i | ||||
\(937\) | −554.896 | + | 3146.97i | −0.0193465 | + | 0.109719i | −0.992952 | − | 0.118519i | \(-0.962185\pi\) |
0.973605 | + | 0.228238i | \(0.0732965\pi\) | |||||||
\(938\) | −33881.8 | − | 12332.0i | −1.17940 | − | 0.429267i | ||||
\(939\) | 4042.18 | + | 7001.26i | 0.140481 | + | 0.243320i | ||||
\(940\) | 4731.08 | + | 3969.85i | 0.164160 | + | 0.137747i | ||||
\(941\) | 17887.7 | + | 15009.6i | 0.619684 | + | 0.519977i | 0.897704 | − | 0.440599i | \(-0.145234\pi\) |
−0.278020 | + | 0.960575i | \(0.589678\pi\) | |||||||
\(942\) | 14039.0 | − | 5109.78i | 0.485579 | − | 0.176736i | ||||
\(943\) | −6157.52 | − | 34921.0i | −0.212637 | − | 1.20592i | ||||
\(944\) | −848.241 | − | 4810.61i | −0.0292456 | − | 0.165860i | ||||
\(945\) | −96154.5 | + | 34997.4i | −3.30995 | + | 1.20472i | ||||
\(946\) | −2749.28 | − | 2306.92i | −0.0944893 | − | 0.0792860i | ||||
\(947\) | 3738.19 | + | 3136.72i | 0.128273 | + | 0.107634i | 0.704667 | − | 0.709538i | \(-0.251096\pi\) |
−0.576394 | + | 0.817172i | \(0.695541\pi\) | |||||||
\(948\) | −6824.46 | − | 11820.3i | −0.233806 | − | 0.404964i | ||||
\(949\) | 21287.4 | + | 7747.97i | 0.728153 | + | 0.265026i | ||||
\(950\) | −884.012 | + | 5013.48i | −0.0301907 | + | 0.171220i | ||||
\(951\) | 1861.77 | − | 3224.68i | 0.0634826 | − | 0.109955i | ||||
\(952\) | −6133.68 | − | 10623.8i | −0.208817 | − | 0.361682i | ||||
\(953\) | 35437.6 | − | 12898.2i | 1.20455 | − | 0.438421i | 0.339741 | − | 0.940519i | \(-0.389661\pi\) |
0.864811 | + | 0.502098i | \(0.167438\pi\) | |||||||
\(954\) | −43959.9 | + | 76140.7i | −1.49188 | + | 2.58401i | ||||
\(955\) | 8326.86 | − | 6987.07i | 0.282148 | − | 0.236750i | ||||
\(956\) | −10307.1 | −0.348700 | ||||||||
\(957\) | 12611.8 | − | 10582.5i | 0.425999 | − | 0.357455i | ||||
\(958\) | 1942.18 | + | 706.895i | 0.0654999 | + | 0.0238400i | ||||
\(959\) | 3479.82 | + | 19735.0i | 0.117173 | + | 0.664523i | ||||
\(960\) | 1230.27 | − | 6977.24i | 0.0413614 | − | 0.234572i | ||||
\(961\) | −3330.85 | −0.111807 | ||||||||
\(962\) | −9577.27 | + | 2071.56i | −0.320981 | + | 0.0694282i | ||||
\(963\) | −1847.19 | −0.0618119 | ||||||||
\(964\) | 2073.28 | − | 11758.2i | 0.0692696 | − | 0.392847i | ||||
\(965\) | 4932.36 | + | 27972.8i | 0.164537 | + | 0.933136i | ||||
\(966\) | 55024.7 | + | 20027.4i | 1.83270 | + | 0.667050i | ||||
\(967\) | −45001.2 | + | 37760.5i | −1.49652 | + | 1.25573i | −0.610570 | + | 0.791962i | \(0.709060\pi\) |
−0.885955 | + | 0.463771i | \(0.846496\pi\) | |||||||
\(968\) | −9881.44 | −0.328101 | ||||||||
\(969\) | 63240.4 | − | 53065.0i | 2.09657 | − | 1.75923i | ||||
\(970\) | −12654.8 | + | 21918.8i | −0.418889 | + | 0.725537i | ||||
\(971\) | 34239.5 | − | 12462.1i | 1.13161 | − | 0.411874i | 0.292736 | − | 0.956193i | \(-0.405434\pi\) |
0.838878 | + | 0.544320i | \(0.183212\pi\) | |||||||
\(972\) | 6782.49 | + | 11747.6i | 0.223815 | + | 0.387660i | ||||
\(973\) | 13510.0 | − | 23400.0i | 0.445128 | − | 0.770985i | ||||
\(974\) | 1339.76 | − | 7598.17i | 0.0440747 | − | 0.249960i | ||||
\(975\) | −3010.62 | − | 1095.78i | −0.0988894 | − | 0.0359928i | ||||
\(976\) | −732.721 | − | 1269.11i | −0.0240306 | − | 0.0416222i | ||||
\(977\) | −4962.98 | − | 4164.44i | −0.162518 | − | 0.136369i | 0.557902 | − | 0.829907i | \(-0.311606\pi\) |
−0.720420 | + | 0.693538i | \(0.756051\pi\) | |||||||
\(978\) | 38162.2 | + | 32021.9i | 1.24774 | + | 1.04698i | ||||
\(979\) | 1757.43 | − | 639.651i | 0.0573724 | − | 0.0208819i | ||||
\(980\) | −3618.60 | − | 20522.1i | −0.117951 | − | 0.668933i | ||||
\(981\) | 14066.3 | + | 79773.7i | 0.457799 | + | 2.59631i | ||||
\(982\) | −22548.7 | + | 8207.06i | −0.732748 | + | 0.266698i | ||||
\(983\) | 26550.8 | + | 22278.8i | 0.861485 | + | 0.722872i | 0.962287 | − | 0.272035i | \(-0.0876966\pi\) |
−0.100803 | + | 0.994906i | \(0.532141\pi\) | |||||||
\(984\) | 18069.5 | + | 15162.1i | 0.585401 | + | 0.491209i | ||||
\(985\) | 7514.86 | + | 13016.1i | 0.243090 | + | 0.421044i | ||||
\(986\) | 18576.0 | + | 6761.11i | 0.599980 | + | 0.218375i | ||||
\(987\) | 5896.21 | − | 33439.1i | 0.190150 | − | 1.07840i | ||||
\(988\) | −7025.61 | + | 12168.7i | −0.226229 | + | 0.391840i | ||||
\(989\) | 10284.9 | + | 17814.0i | 0.330679 | + | 0.572752i | ||||
\(990\) | 13108.0 | − | 4770.94i | 0.420809 | − | 0.153162i | ||||
\(991\) | 17880.5 | − | 30969.9i | 0.573151 | − | 0.992727i | −0.423089 | − | 0.906088i | \(-0.639054\pi\) |
0.996240 | − | 0.0866386i | \(-0.0276125\pi\) | |||||||
\(992\) | 3987.49 | − | 3345.91i | 0.127624 | − | 0.107089i | ||||
\(993\) | −4068.81 | −0.130030 | ||||||||
\(994\) | −19410.4 | + | 16287.3i | −0.619377 | + | 0.519719i | ||||
\(995\) | −27151.9 | − | 9882.50i | −0.865100 | − | 0.314871i | ||||
\(996\) | −3696.65 | − | 20964.7i | −0.117603 | − | 0.666961i | ||||
\(997\) | 478.777 | − | 2715.28i | 0.0152086 | − | 0.0862525i | −0.976259 | − | 0.216608i | \(-0.930501\pi\) |
0.991467 | + | 0.130355i | \(0.0416118\pi\) | |||||||
\(998\) | 11321.0 | 0.359079 | ||||||||
\(999\) | 21211.3 | − | 66085.5i | 0.671768 | − | 2.09295i |
(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 | 74.4.f.b.33.1 | yes | 30 | |
37.9 | even | 9 | inner | 74.4.f.b.9.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.b.9.1 | ✓ | 30 | 37.9 | even | 9 | inner | |
74.4.f.b.33.1 | yes | 30 | 1.1 | even | 1 | trivial |