Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), 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: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.19 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.19 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.548361 | − | 3.96223i | −0.137090 | − | 0.990559i | ||||
\(3\) | 1.05794 | − | 0.186543i | 0.117548 | − | 0.0207270i | −0.114564 | − | 0.993416i | \(-0.536547\pi\) |
0.232113 | + | 0.972689i | \(0.425436\pi\) | |||||||
\(4\) | −15.3986 | + | 4.34547i | −0.962413 | + | 0.271592i | ||||
\(5\) | 1.47493 | − | 1.23761i | 0.0589970 | − | 0.0495044i | −0.612812 | − | 0.790228i | \(-0.709962\pi\) |
0.671809 | + | 0.740724i | \(0.265517\pi\) | |||||||
\(6\) | −1.31926 | − | 4.08950i | −0.0366460 | − | 0.113597i | ||||
\(7\) | −26.6122 | − | 15.3646i | −0.543106 | − | 0.313562i | 0.203231 | − | 0.979131i | \(-0.434856\pi\) |
−0.746337 | + | 0.665568i | \(0.768189\pi\) | |||||||
\(8\) | 25.6618 | + | 58.6300i | 0.400965 | + | 0.916093i | ||||
\(9\) | −75.0307 | + | 27.3089i | −0.926305 | + | 0.337147i | ||||
\(10\) | −5.71249 | − | 5.16535i | −0.0571249 | − | 0.0516535i | ||||
\(11\) | −29.9069 | + | 17.2667i | −0.247164 | + | 0.142700i | −0.618465 | − | 0.785812i | \(-0.712245\pi\) |
0.371301 | + | 0.928513i | \(0.378912\pi\) | |||||||
\(12\) | −15.4801 | + | 7.46972i | −0.107501 | + | 0.0518731i | ||||
\(13\) | −42.0617 | + | 238.544i | −0.248886 | + | 1.41150i | 0.562406 | + | 0.826861i | \(0.309876\pi\) |
−0.811292 | + | 0.584641i | \(0.801235\pi\) | |||||||
\(14\) | −46.2849 | + | 113.869i | −0.236147 | + | 0.580965i | ||||
\(15\) | 1.32951 | − | 1.58445i | 0.00590893 | − | 0.00704199i | ||||
\(16\) | 218.234 | − | 133.828i | 0.852476 | − | 0.522767i | ||||
\(17\) | −280.382 | − | 102.051i | −0.970181 | − | 0.353117i | −0.192166 | − | 0.981362i | \(-0.561551\pi\) |
−0.778015 | + | 0.628245i | \(0.783773\pi\) | |||||||
\(18\) | 149.348 | + | 282.314i | 0.460951 | + | 0.871339i | ||||
\(19\) | 242.275 | + | 267.627i | 0.671121 | + | 0.741348i | ||||
\(20\) | −17.3338 | + | 25.4667i | −0.0433345 | + | 0.0636668i | ||||
\(21\) | −31.0201 | − | 11.2904i | −0.0703405 | − | 0.0256018i | ||||
\(22\) | 84.8147 | + | 109.030i | 0.175237 | + | 0.225268i | ||||
\(23\) | 421.407 | − | 502.214i | 0.796611 | − | 0.949365i | −0.202944 | − | 0.979190i | \(-0.565051\pi\) |
0.999555 | + | 0.0298259i | \(0.00949528\pi\) | |||||||
\(24\) | 38.0855 | + | 57.2397i | 0.0661206 | + | 0.0993746i | ||||
\(25\) | −107.886 | + | 611.854i | −0.172618 | + | 0.978967i | ||||
\(26\) | 968.231 | + | 35.8503i | 1.43229 | + | 0.0530329i | ||||
\(27\) | −149.640 | + | 86.3949i | −0.205268 | + | 0.118512i | ||||
\(28\) | 476.557 | + | 120.950i | 0.607853 | + | 0.154273i | ||||
\(29\) | −1218.39 | + | 443.456i | −1.44873 | + | 0.527296i | −0.942237 | − | 0.334946i | \(-0.891282\pi\) |
−0.506497 | + | 0.862242i | \(0.669060\pi\) | |||||||
\(30\) | −7.00701 | − | 4.39898i | −0.00778556 | − | 0.00488776i | ||||
\(31\) | −961.830 | − | 555.313i | −1.00086 | − | 0.577849i | −0.0923598 | − | 0.995726i | \(-0.529441\pi\) |
−0.908504 | + | 0.417877i | \(0.862774\pi\) | |||||||
\(32\) | −649.930 | − | 791.307i | −0.634697 | − | 0.772761i | ||||
\(33\) | −28.4186 | + | 23.8460i | −0.0260960 | + | 0.0218972i | ||||
\(34\) | −250.599 | + | 1166.90i | −0.216781 | + | 1.00943i | ||||
\(35\) | −58.2664 | + | 10.2739i | −0.0475644 | + | 0.00838688i | ||||
\(36\) | 1036.70 | − | 746.563i | 0.799921 | − | 0.576052i | ||||
\(37\) | 198.579 | 0.145054 | 0.0725270 | − | 0.997366i | \(-0.476894\pi\) | ||||
0.0725270 | + | 0.997366i | \(0.476894\pi\) | |||||||
\(38\) | 927.546 | − | 1106.70i | 0.642345 | − | 0.766416i | ||||
\(39\) | 260.210i | 0.171078i | ||||||||
\(40\) | 110.410 | + | 54.7156i | 0.0690064 | + | 0.0341973i | ||||
\(41\) | −143.868 | − | 815.918i | −0.0855850 | − | 0.485377i | −0.997229 | − | 0.0743955i | \(-0.976297\pi\) |
0.911644 | − | 0.410981i | \(-0.134814\pi\) | |||||||
\(42\) | −27.7250 | + | 129.100i | −0.0157171 | + | 0.0731861i | ||||
\(43\) | −2296.43 | − | 2736.77i | −1.24198 | − | 1.48014i | −0.818786 | − | 0.574099i | \(-0.805352\pi\) |
−0.423197 | − | 0.906038i | \(-0.639092\pi\) | |||||||
\(44\) | 385.492 | − | 395.843i | 0.199118 | − | 0.204464i | ||||
\(45\) | −76.8669 | + | 133.137i | −0.0379590 | + | 0.0657468i | ||||
\(46\) | −2220.97 | − | 1394.32i | −1.04961 | − | 0.658942i | ||||
\(47\) | 173.023 | + | 475.377i | 0.0783265 | + | 0.215200i | 0.972675 | − | 0.232170i | \(-0.0745827\pi\) |
−0.894349 | + | 0.447371i | \(0.852360\pi\) | |||||||
\(48\) | 205.913 | − | 182.292i | 0.0893718 | − | 0.0791196i | ||||
\(49\) | −728.361 | − | 1261.56i | −0.303357 | − | 0.525430i | ||||
\(50\) | 2483.47 | + | 91.9543i | 0.993388 | + | 0.0367817i | ||||
\(51\) | −315.663 | − | 55.6600i | −0.121362 | − | 0.0213995i | ||||
\(52\) | −388.893 | − | 3856.02i | −0.143821 | − | 1.42604i | ||||
\(53\) | 1203.51 | + | 1009.87i | 0.428449 | + | 0.359511i | 0.831366 | − | 0.555725i | \(-0.187559\pi\) |
−0.402917 | + | 0.915236i | \(0.632004\pi\) | |||||||
\(54\) | 424.374 | + | 545.535i | 0.145533 | + | 0.187083i | ||||
\(55\) | −22.7409 | + | 62.4802i | −0.00751767 | + | 0.0206546i | ||||
\(56\) | 217.908 | − | 1954.55i | 0.0694860 | − | 0.623263i | ||||
\(57\) | 306.235 | + | 237.937i | 0.0942551 | + | 0.0732340i | ||||
\(58\) | 2425.19 | + | 4584.35i | 0.720925 | + | 1.36277i | ||||
\(59\) | 438.959 | − | 1206.03i | 0.126101 | − | 0.346461i | −0.860537 | − | 0.509389i | \(-0.829872\pi\) |
0.986638 | + | 0.162928i | \(0.0520938\pi\) | |||||||
\(60\) | −13.5874 | + | 30.1756i | −0.00377428 | + | 0.00838212i | ||||
\(61\) | −674.737 | − | 566.171i | −0.181332 | − | 0.152156i | 0.547604 | − | 0.836738i | \(-0.315540\pi\) |
−0.728936 | + | 0.684582i | \(0.759985\pi\) | |||||||
\(62\) | −1672.85 | + | 4115.51i | −0.435185 | + | 1.07063i | ||||
\(63\) | 2416.32 | + | 426.063i | 0.608798 | + | 0.107348i | ||||
\(64\) | −2778.95 | + | 3009.10i | −0.678454 | + | 0.734643i | ||||
\(65\) | 233.186 | + | 403.890i | 0.0551920 | + | 0.0955954i | ||||
\(66\) | 110.067 | + | 99.5249i | 0.0252679 | + | 0.0228478i | ||||
\(67\) | 1261.58 | + | 3466.17i | 0.281039 | + | 0.772148i | 0.997239 | + | 0.0742537i | \(0.0236574\pi\) |
−0.716200 | + | 0.697895i | \(0.754120\pi\) | |||||||
\(68\) | 4760.95 | + | 353.047i | 1.02962 | + | 0.0763511i | ||||
\(69\) | 352.138 | − | 609.921i | 0.0739630 | − | 0.128108i | ||||
\(70\) | 72.6587 | + | 225.231i | 0.0148283 | + | 0.0459655i | ||||
\(71\) | 2360.72 | + | 2813.40i | 0.468304 | + | 0.558103i | 0.947562 | − | 0.319571i | \(-0.103539\pi\) |
−0.479258 | + | 0.877674i | \(0.659094\pi\) | |||||||
\(72\) | −3526.54 | − | 3698.25i | −0.680274 | − | 0.713397i | ||||
\(73\) | 313.651 | + | 1778.80i | 0.0588573 | + | 0.333796i | 0.999991 | − | 0.00423816i | \(-0.00134905\pi\) |
−0.941134 | + | 0.338035i | \(0.890238\pi\) | |||||||
\(74\) | −108.893 | − | 786.816i | −0.0198855 | − | 0.143685i | ||||
\(75\) | 667.428i | 0.118654i | ||||||||
\(76\) | −4893.65 | − | 3068.28i | −0.847239 | − | 0.531212i | ||||
\(77\) | 1061.18 | 0.178982 | ||||||||
\(78\) | 1031.01 | − | 142.689i | 0.169463 | − | 0.0234532i | ||||
\(79\) | −4380.83 | + | 772.458i | −0.701943 | + | 0.123772i | −0.513218 | − | 0.858258i | \(-0.671547\pi\) |
−0.188725 | + | 0.982030i | \(0.560436\pi\) | |||||||
\(80\) | 156.252 | − | 467.475i | 0.0244143 | − | 0.0730430i | ||||
\(81\) | 4812.22 | − | 4037.93i | 0.733458 | − | 0.615444i | ||||
\(82\) | −3153.97 | + | 1017.46i | −0.469061 | + | 0.151317i | ||||
\(83\) | 6444.01 | + | 3720.45i | 0.935405 | + | 0.540057i | 0.888517 | − | 0.458844i | \(-0.151736\pi\) |
0.0468884 | + | 0.998900i | \(0.485069\pi\) | |||||||
\(84\) | 526.729 | + | 39.0594i | 0.0746498 | + | 0.00553564i | ||||
\(85\) | −539.842 | + | 196.487i | −0.0747187 | + | 0.0271954i | ||||
\(86\) | −9584.47 | + | 10599.7i | −1.29590 | + | 1.43317i | ||||
\(87\) | −1206.25 | + | 696.429i | −0.159367 | + | 0.0920107i | ||||
\(88\) | −1779.81 | − | 1310.34i | −0.229831 | − | 0.169208i | ||||
\(89\) | −61.4577 | + | 348.544i | −0.00775884 | + | 0.0440025i | −0.988441 | − | 0.151604i | \(-0.951556\pi\) |
0.980683 | + | 0.195606i | \(0.0626674\pi\) | |||||||
\(90\) | 569.672 | + | 231.557i | 0.0703299 | + | 0.0285873i | ||||
\(91\) | 4784.47 | − | 5701.92i | 0.577765 | − | 0.688554i | ||||
\(92\) | −4306.73 | + | 9564.60i | −0.508829 | + | 1.13003i | ||||
\(93\) | −1121.14 | − | 408.063i | −0.129627 | − | 0.0471804i | ||||
\(94\) | 1788.68 | − | 946.237i | 0.202431 | − | 0.107089i | ||||
\(95\) | 688.554 | + | 94.8883i | 0.0762941 | + | 0.0105139i | ||||
\(96\) | −835.197 | − | 715.913i | −0.0906246 | − | 0.0776815i | ||||
\(97\) | 1927.50 | + | 701.553i | 0.204857 | + | 0.0745619i | 0.442411 | − | 0.896813i | \(-0.354123\pi\) |
−0.237554 | + | 0.971374i | \(0.576346\pi\) | |||||||
\(98\) | −4599.18 | + | 3577.72i | −0.478882 | + | 0.372524i | ||||
\(99\) | 1772.40 | − | 2112.26i | 0.180838 | − | 0.215515i | ||||
\(100\) | −997.493 | − | 9890.51i | −0.0997493 | − | 0.989051i | ||||
\(101\) | −1583.91 | + | 8982.83i | −0.155271 | + | 0.880583i | 0.803268 | + | 0.595618i | \(0.203093\pi\) |
−0.958538 | + | 0.284965i | \(0.908018\pi\) | |||||||
\(102\) | −47.4404 | + | 1281.25i | −0.00455982 | + | 0.123150i | ||||
\(103\) | −15678.8 | + | 9052.18i | −1.47788 | + | 0.853255i | −0.999687 | − | 0.0249993i | \(-0.992042\pi\) |
−0.478194 | + | 0.878254i | \(0.658708\pi\) | |||||||
\(104\) | −15065.2 | + | 3655.38i | −1.39286 | + | 0.337960i | ||||
\(105\) | −59.7255 | + | 21.7383i | −0.00541728 | + | 0.00197173i | ||||
\(106\) | 3341.37 | − | 5322.37i | 0.297381 | − | 0.473689i | ||||
\(107\) | 3008.15 | + | 1736.76i | 0.262744 | + | 0.151695i | 0.625585 | − | 0.780156i | \(-0.284860\pi\) |
−0.362842 | + | 0.931851i | \(0.618193\pi\) | |||||||
\(108\) | 1928.83 | − | 1980.62i | 0.165366 | − | 0.169806i | ||||
\(109\) | 15491.5 | − | 12998.9i | 1.30389 | − | 1.09409i | 0.314427 | − | 0.949282i | \(-0.398188\pi\) |
0.989460 | − | 0.144809i | \(-0.0462567\pi\) | |||||||
\(110\) | 260.032 | + | 55.8432i | 0.0214902 | + | 0.00461514i | ||||
\(111\) | 210.084 | − | 37.0434i | 0.0170509 | − | 0.00300653i | ||||
\(112\) | −7863.89 | + | 208.398i | −0.626905 | + | 0.0166134i | ||||
\(113\) | 12687.8 | 0.993640 | 0.496820 | − | 0.867854i | \(-0.334501\pi\) | ||||
0.496820 | + | 0.867854i | \(0.334501\pi\) | |||||||
\(114\) | 774.837 | − | 1343.85i | 0.0596212 | − | 0.103405i | ||||
\(115\) | − | 1262.27i | − | 0.0954455i | ||||||
\(116\) | 16834.4 | − | 12123.1i | 1.25107 | − | 0.900941i | ||||
\(117\) | −3358.46 | − | 19046.8i | −0.245340 | − | 1.39139i | ||||
\(118\) | −5019.28 | − | 1077.92i | −0.360477 | − | 0.0774144i | ||||
\(119\) | 5893.63 | + | 7023.75i | 0.416187 | + | 0.495992i | ||||
\(120\) | 127.014 | + | 37.2894i | 0.00882040 | + | 0.00258954i | ||||
\(121\) | −6724.22 | + | 11646.7i | −0.459273 | + | 0.795485i | ||||
\(122\) | −1873.30 | + | 2983.93i | −0.125860 | + | 0.200479i | ||||
\(123\) | −304.407 | − | 836.352i | −0.0201208 | − | 0.0552814i | ||||
\(124\) | 17223.9 | + | 4371.44i | 1.12018 | + | 0.284303i | ||||
\(125\) | 1199.79 | + | 2078.10i | 0.0767868 | + | 0.132999i | ||||
\(126\) | 363.144 | − | 9807.67i | 0.0228738 | − | 0.617767i | ||||
\(127\) | 6827.43 | + | 1203.86i | 0.423301 | + | 0.0746395i | 0.381241 | − | 0.924476i | \(-0.375497\pi\) |
0.0420603 | + | 0.999115i | \(0.486608\pi\) | |||||||
\(128\) | 13446.6 | + | 9360.78i | 0.820716 | + | 0.571336i | ||||
\(129\) | −2940.00 | − | 2466.95i | −0.176672 | − | 0.148245i | ||||
\(130\) | 1472.44 | − | 1145.42i | 0.0871265 | − | 0.0677761i | ||||
\(131\) | 6537.46 | − | 17961.5i | 0.380949 | − | 1.04665i | −0.590009 | − | 0.807397i | \(-0.700876\pi\) |
0.970958 | − | 0.239251i | \(-0.0769020\pi\) | |||||||
\(132\) | 333.984 | − | 490.687i | 0.0191681 | − | 0.0281616i | ||||
\(133\) | −2335.49 | − | 10844.6i | −0.132031 | − | 0.613069i | ||||
\(134\) | 13042.0 | − | 6899.41i | 0.726330 | − | 0.384240i | ||||
\(135\) | −113.785 | + | 312.622i | −0.00624336 | + | 0.0171535i | ||||
\(136\) | −1211.87 | − | 19057.6i | −0.0655204 | − | 1.03036i | ||||
\(137\) | −15911.1 | − | 13351.0i | −0.847731 | − | 0.711330i | 0.111558 | − | 0.993758i | \(-0.464416\pi\) |
−0.959289 | + | 0.282427i | \(0.908860\pi\) | |||||||
\(138\) | −2609.75 | − | 1060.80i | −0.137038 | − | 0.0557024i | ||||
\(139\) | −24163.0 | − | 4260.60i | −1.25061 | − | 0.220516i | −0.491153 | − | 0.871073i | \(-0.663424\pi\) |
−0.759457 | + | 0.650557i | \(0.774535\pi\) | |||||||
\(140\) | 852.575 | − | 411.399i | 0.0434987 | − | 0.0209897i | ||||
\(141\) | 271.726 | + | 470.643i | 0.0136676 | + | 0.0236730i | ||||
\(142\) | 9852.82 | − | 10896.5i | 0.488634 | − | 0.540393i | ||||
\(143\) | −2860.94 | − | 7860.37i | −0.139906 | − | 0.384389i | ||||
\(144\) | −12719.5 | + | 16001.0i | −0.613403 | + | 0.771651i | ||||
\(145\) | −1248.20 | + | 2161.95i | −0.0593676 | + | 0.102828i | ||||
\(146\) | 6876.03 | − | 2218.18i | 0.322576 | − | 0.104062i | ||||
\(147\) | −1005.89 | − | 1198.78i | −0.0465497 | − | 0.0554758i | ||||
\(148\) | −3057.84 | + | 862.919i | −0.139602 | + | 0.0393955i | ||||
\(149\) | 6773.45 | + | 38414.2i | 0.305097 | + | 1.73029i | 0.623049 | + | 0.782183i | \(0.285894\pi\) |
−0.317952 | + | 0.948107i | \(0.602995\pi\) | |||||||
\(150\) | 2644.51 | − | 365.991i | 0.117534 | − | 0.0162663i | ||||
\(151\) | − | 12457.9i | − | 0.546376i | −0.961961 | − | 0.273188i | \(-0.911922\pi\) | ||
0.961961 | − | 0.273188i | \(-0.0880781\pi\) | |||||||
\(152\) | −9473.76 | + | 21072.3i | −0.410048 | + | 0.912064i | ||||
\(153\) | 23824.2 | 1.01774 | ||||||||
\(154\) | −581.912 | − | 4204.66i | −0.0245367 | − | 0.177292i | ||||
\(155\) | −2105.89 | + | 371.325i | −0.0876540 | + | 0.0154558i | ||||
\(156\) | −1130.74 | − | 4006.88i | −0.0464635 | − | 0.164648i | ||||
\(157\) | −23219.9 | + | 19483.8i | −0.942022 | + | 0.790450i | −0.977936 | − | 0.208904i | \(-0.933010\pi\) |
0.0359139 | + | 0.999355i | \(0.488566\pi\) | |||||||
\(158\) | 5462.94 | + | 16934.3i | 0.218833 | + | 0.678348i | ||||
\(159\) | 1461.62 | + | 843.868i | 0.0578151 | + | 0.0333795i | ||||
\(160\) | −1937.93 | − | 362.760i | −0.0757003 | − | 0.0141703i | ||||
\(161\) | −18930.9 | + | 6890.27i | −0.730330 | + | 0.265818i | ||||
\(162\) | −18638.1 | − | 16852.9i | −0.710183 | − | 0.642162i | ||||
\(163\) | −804.336 | + | 464.383i | −0.0302735 | + | 0.0174784i | −0.515060 | − | 0.857154i | \(-0.672230\pi\) |
0.484787 | + | 0.874632i | \(0.338897\pi\) | |||||||
\(164\) | 5760.92 | + | 11938.8i | 0.214192 | + | 0.443889i | ||||
\(165\) | −12.4032 | + | 70.3422i | −0.000455582 | + | 0.00258374i | ||||
\(166\) | 11207.7 | − | 27572.8i | 0.406723 | − | 1.00061i | ||||
\(167\) | −26942.4 | + | 32108.7i | −0.966057 | + | 1.15130i | 0.0223920 | + | 0.999749i | \(0.492872\pi\) |
−0.988449 | + | 0.151553i | \(0.951573\pi\) | |||||||
\(168\) | −134.075 | − | 2108.44i | −0.00475039 | − | 0.0747039i | ||||
\(169\) | −28295.4 | − | 10298.7i | −0.990700 | − | 0.360585i | ||||
\(170\) | 1074.55 | + | 2031.24i | 0.0371818 | + | 0.0702850i | ||||
\(171\) | −25486.6 | − | 13464.0i | −0.871606 | − | 0.460448i | ||||
\(172\) | 47254.3 | + | 32163.4i | 1.59729 | + | 1.08719i | ||||
\(173\) | −8168.58 | − | 2973.12i | −0.272932 | − | 0.0993391i | 0.201928 | − | 0.979400i | \(-0.435279\pi\) |
−0.474860 | + | 0.880061i | \(0.657501\pi\) | |||||||
\(174\) | 3420.88 | + | 4397.55i | 0.112990 | + | 0.145249i | ||||
\(175\) | 12272.0 | − | 14625.2i | 0.400717 | − | 0.477556i | ||||
\(176\) | −4215.91 | + | 7770.57i | −0.136103 | + | 0.250858i | ||||
\(177\) | 239.414 | − | 1357.79i | 0.00764194 | − | 0.0433396i | ||||
\(178\) | 1414.71 | + | 52.3820i | 0.0446508 | + | 0.00165326i | ||||
\(179\) | 43479.5 | − | 25102.9i | 1.35699 | − | 0.783461i | 0.367777 | − | 0.929914i | \(-0.380119\pi\) |
0.989218 | + | 0.146453i | \(0.0467857\pi\) | |||||||
\(180\) | 605.098 | − | 2384.15i | 0.0186759 | − | 0.0735849i | ||||
\(181\) | −43830.8 | + | 15953.1i | −1.33789 | + | 0.486954i | −0.909149 | − | 0.416471i | \(-0.863267\pi\) |
−0.428746 | + | 0.903425i | \(0.641044\pi\) | |||||||
\(182\) | −25215.9 | − | 15830.5i | −0.761259 | − | 0.477916i | ||||
\(183\) | −819.443 | − | 473.106i | −0.0244690 | − | 0.0141272i | ||||
\(184\) | 40258.8 | + | 11819.4i | 1.18912 | + | 0.349109i | ||||
\(185\) | 292.889 | − | 245.763i | 0.00855776 | − | 0.00718081i | ||||
\(186\) | −1002.05 | + | 4666.00i | −0.0289643 | + | 0.134871i | ||||
\(187\) | 10147.4 | − | 1789.27i | 0.290184 | − | 0.0511673i | ||||
\(188\) | −4730.05 | − | 6568.28i | −0.133829 | − | 0.185839i | ||||
\(189\) | 5309.68 | 0.148643 | ||||||||
\(190\) | −1.60675 | − | 2780.25i | −4.45083e−5 | − | 0.0770151i | ||||
\(191\) | 42743.4i | 1.17166i | 0.810433 | + | 0.585831i | \(0.199232\pi\) | ||||
−0.810433 | + | 0.585831i | \(0.800768\pi\) | |||||||
\(192\) | −2378.62 | + | 3701.82i | −0.0645243 | + | 0.100418i | ||||
\(193\) | 6491.41 | + | 36814.6i | 0.174271 | + | 0.988339i | 0.938982 | + | 0.343966i | \(0.111770\pi\) |
−0.764711 | + | 0.644373i | \(0.777118\pi\) | |||||||
\(194\) | 1722.75 | − | 8021.91i | 0.0457740 | − | 0.213145i | ||||
\(195\) | 322.039 | + | 383.791i | 0.00846914 | + | 0.0100931i | ||||
\(196\) | 16697.8 | + | 16261.2i | 0.434657 | + | 0.423291i | ||||
\(197\) | −5405.57 | + | 9362.72i | −0.139286 | + | 0.241251i | −0.927227 | − | 0.374500i | \(-0.877814\pi\) |
0.787940 | + | 0.615752i | \(0.211148\pi\) | |||||||
\(198\) | −9341.18 | − | 5864.37i | −0.238271 | − | 0.149586i | ||||
\(199\) | −6245.16 | − | 17158.4i | −0.157702 | − | 0.433283i | 0.835528 | − | 0.549448i | \(-0.185162\pi\) |
−0.993230 | + | 0.116165i | \(0.962940\pi\) | |||||||
\(200\) | −38641.5 | + | 9375.87i | −0.966039 | + | 0.234397i | ||||
\(201\) | 1981.26 | + | 3431.65i | 0.0490400 | + | 0.0849398i | ||||
\(202\) | 36460.6 | + | 1350.01i | 0.893555 | + | 0.0330852i | ||||
\(203\) | 39237.4 | + | 6918.62i | 0.952157 | + | 0.167891i | ||||
\(204\) | 5102.64 | − | 514.620i | 0.122613 | − | 0.0123659i | ||||
\(205\) | −1221.98 | − | 1025.37i | −0.0290775 | − | 0.0243990i | ||||
\(206\) | 44464.5 | + | 57159.4i | 1.04780 | + | 1.34695i | ||||
\(207\) | −17903.6 | + | 49189.6i | −0.417829 | + | 1.14798i | ||||
\(208\) | 22744.6 | + | 57687.4i | 0.525717 | + | 1.33338i | ||||
\(209\) | −11866.7 | − | 3820.59i | −0.271668 | − | 0.0874657i | ||||
\(210\) | 118.883 | + | 224.726i | 0.00269577 | + | 0.00509583i | ||||
\(211\) | 17736.2 | − | 48729.8i | 0.398378 | − | 1.09453i | −0.564697 | − | 0.825299i | \(-0.691007\pi\) |
0.963074 | − | 0.269236i | \(-0.0867710\pi\) | |||||||
\(212\) | −22920.8 | − | 10320.7i | −0.509985 | − | 0.229635i | ||||
\(213\) | 3022.31 | + | 2536.02i | 0.0666162 | + | 0.0558976i | ||||
\(214\) | 5231.89 | − | 12871.4i | 0.114243 | − | 0.281059i | ||||
\(215\) | −6774.12 | − | 1194.46i | −0.146547 | − | 0.0258401i | ||||
\(216\) | −8905.37 | − | 6556.37i | −0.190873 | − | 0.140526i | ||||
\(217\) | 17064.3 | + | 29556.2i | 0.362383 | + | 0.627666i | ||||
\(218\) | −59999.6 | − | 54252.8i | −1.26251 | − | 1.14159i | ||||
\(219\) | 663.644 | + | 1823.35i | 0.0138372 | + | 0.0380173i | ||||
\(220\) | 78.6728 | − | 1060.93i | 0.00162547 | − | 0.0219200i | ||||
\(221\) | 36137.0 | − | 62591.0i | 0.739890 | − | 1.28153i | ||||
\(222\) | −261.977 | − | 812.088i | −0.00531565 | − | 0.0164777i | ||||
\(223\) | 12729.6 | + | 15170.6i | 0.255980 | + | 0.305066i | 0.878695 | − | 0.477383i | \(-0.158415\pi\) |
−0.622715 | + | 0.782449i | \(0.713970\pi\) | |||||||
\(224\) | 5137.97 | + | 31044.3i | 0.102399 | + | 0.618708i | ||||
\(225\) | −8614.29 | − | 48854.1i | −0.170159 | − | 0.965019i | ||||
\(226\) | −6957.49 | − | 50272.0i | −0.136218 | − | 0.984259i | ||||
\(227\) | − | 4175.20i | − | 0.0810263i | −0.999179 | − | 0.0405131i | \(-0.987101\pi\) | ||
0.999179 | − | 0.0405131i | \(-0.0128993\pi\) | |||||||
\(228\) | −5749.54 | − | 2333.17i | −0.110602 | − | 0.0448825i | ||||
\(229\) | 63595.1 | 1.21270 | 0.606349 | − | 0.795199i | \(-0.292633\pi\) | ||||
0.606349 | + | 0.795199i | \(0.292633\pi\) | |||||||
\(230\) | −5001.39 | + | 692.177i | −0.0945443 | + | 0.0130846i | ||||
\(231\) | 1122.66 | − | 197.956i | 0.0210390 | − | 0.00370975i | ||||
\(232\) | −57265.7 | − | 60054.1i | −1.06394 | − | 1.11575i | ||||
\(233\) | 6618.26 | − | 5553.38i | 0.121908 | − | 0.102293i | −0.579796 | − | 0.814762i | \(-0.696868\pi\) |
0.701703 | + | 0.712469i | \(0.252423\pi\) | |||||||
\(234\) | −73626.1 | + | 23751.5i | −1.34462 | + | 0.433770i | ||||
\(235\) | 843.528 | + | 487.011i | 0.0152744 | + | 0.00881867i | ||||
\(236\) | −1518.59 | + | 20478.7i | −0.0272657 | + | 0.367686i | ||||
\(237\) | −4490.54 | + | 1634.42i | −0.0799469 | + | 0.0290983i | ||||
\(238\) | 24597.9 | − | 27203.5i | 0.434254 | − | 0.480253i | ||||
\(239\) | −62748.1 | + | 36227.6i | −1.09851 | + | 0.634226i | −0.935830 | − | 0.352452i | \(-0.885348\pi\) |
−0.162682 | + | 0.986679i | \(0.552015\pi\) | |||||||
\(240\) | 78.1001 | − | 523.706i | 0.00135590 | − | 0.00909212i | ||||
\(241\) | 8433.63 | − | 47829.5i | 0.145205 | − | 0.823496i | −0.821998 | − | 0.569490i | \(-0.807141\pi\) |
0.967203 | − | 0.254006i | \(-0.0817483\pi\) | |||||||
\(242\) | 49834.2 | + | 20256.3i | 0.850936 | + | 0.345884i | ||||
\(243\) | 13334.2 | − | 15891.1i | 0.225816 | − | 0.269117i | ||||
\(244\) | 12850.3 | + | 5786.20i | 0.215841 | + | 0.0971882i | ||||
\(245\) | −2635.59 | − | 959.278i | −0.0439083 | − | 0.0159813i | ||||
\(246\) | −3146.90 | + | 1664.76i | −0.0520011 | + | 0.0275093i | ||||
\(247\) | −74031.2 | + | 46536.2i | −1.21345 | + | 0.762777i | ||||
\(248\) | 7875.73 | − | 70642.4i | 0.128052 | − | 1.14858i | ||||
\(249\) | 7511.37 | + | 2733.92i | 0.121149 | + | 0.0440947i | ||||
\(250\) | 7576.01 | − | 5893.41i | 0.121216 | − | 0.0942946i | ||||
\(251\) | 59628.7 | − | 71062.7i | 0.946472 | − | 1.12796i | −0.0451750 | − | 0.998979i | \(-0.514385\pi\) |
0.991647 | − | 0.128982i | \(-0.0411710\pi\) | |||||||
\(252\) | −39059.4 | + | 3939.28i | −0.615070 | + | 0.0620320i | ||||
\(253\) | −3931.38 | + | 22296.0i | −0.0614192 | + | 0.348326i | ||||
\(254\) | 1026.08 | − | 27712.0i | 0.0159043 | − | 0.429537i | ||||
\(255\) | −534.465 | + | 308.574i | −0.00821938 | + | 0.00474546i | ||||
\(256\) | 29716.0 | − | 58411.7i | 0.453430 | − | 0.891292i | ||||
\(257\) | 61612.7 | − | 22425.2i | 0.932833 | − | 0.339524i | 0.169501 | − | 0.985530i | \(-0.445784\pi\) |
0.763332 | + | 0.646006i | \(0.223562\pi\) | |||||||
\(258\) | −8162.45 | + | 13001.7i | −0.122626 | + | 0.195327i | ||||
\(259\) | −5284.62 | − | 3051.08i | −0.0787797 | − | 0.0454835i | ||||
\(260\) | −5345.83 | − | 5206.04i | −0.0790804 | − | 0.0770125i | ||||
\(261\) | 79306.0 | − | 66545.6i | 1.16419 | − | 0.976874i | ||||
\(262\) | −74752.7 | − | 16053.6i | −1.08899 | − | 0.233867i | ||||
\(263\) | −82922.0 | + | 14621.4i | −1.19883 | + | 0.211387i | −0.737194 | − | 0.675681i | \(-0.763849\pi\) |
−0.461639 | + | 0.887068i | \(0.652738\pi\) | |||||||
\(264\) | −2127.36 | − | 1054.25i | −0.0305235 | − | 0.0151264i | ||||
\(265\) | 3024.91 | 0.0430746 | ||||||||
\(266\) | −41688.1 | + | 15200.5i | −0.589181 | + | 0.214830i | ||||
\(267\) | 380.202i | 0.00533325i | ||||||||
\(268\) | −34488.8 | − | 47892.1i | −0.480185 | − | 0.666797i | ||||
\(269\) | −2374.72 | − | 13467.7i | −0.0328176 | − | 0.186118i | 0.963992 | − | 0.265930i | \(-0.0856791\pi\) |
−0.996810 | + | 0.0798121i | \(0.974568\pi\) | |||||||
\(270\) | 1301.08 | + | 279.414i | 0.0178474 | + | 0.00383284i | ||||
\(271\) | 29631.4 | + | 35313.3i | 0.403472 | + | 0.480839i | 0.929075 | − | 0.369891i | \(-0.120605\pi\) |
−0.525604 | + | 0.850730i | \(0.676160\pi\) | |||||||
\(272\) | −74846.2 | + | 15252.1i | −1.01165 | + | 0.206155i | ||||
\(273\) | 3998.02 | − | 6924.77i | 0.0536438 | − | 0.0929138i | ||||
\(274\) | −44174.6 | + | 70364.5i | −0.588399 | + | 0.937243i | ||||
\(275\) | −7338.18 | − | 20161.5i | −0.0970338 | − | 0.266598i | ||||
\(276\) | −2772.04 | + | 10922.1i | −0.0363899 | + | 0.143380i | ||||
\(277\) | −24346.2 | − | 42168.8i | −0.317301 | − | 0.549581i | 0.662623 | − | 0.748953i | \(-0.269443\pi\) |
−0.979924 | + | 0.199372i | \(0.936110\pi\) | |||||||
\(278\) | −3631.41 | + | 98076.0i | −0.0469879 | + | 1.26903i | ||||
\(279\) | 87331.7 | + | 15398.9i | 1.12192 | + | 0.197826i | ||||
\(280\) | −2097.58 | − | 3152.51i | −0.0267548 | − | 0.0402106i | ||||
\(281\) | 48409.6 | + | 40620.5i | 0.613083 | + | 0.514438i | 0.895621 | − | 0.444819i | \(-0.146732\pi\) |
−0.282538 | + | 0.959256i | \(0.591176\pi\) | |||||||
\(282\) | 1715.79 | − | 1334.72i | 0.0215758 | − | 0.0167839i | ||||
\(283\) | 29724.1 | − | 81666.3i | 0.371138 | − | 1.01969i | −0.603784 | − | 0.797148i | \(-0.706341\pi\) |
0.974922 | − | 0.222546i | \(-0.0714368\pi\) | |||||||
\(284\) | −48577.3 | − | 33064.0i | −0.602278 | − | 0.409938i | ||||
\(285\) | 746.147 | − | 28.0591i | 0.00918618 | − | 0.000345449i | ||||
\(286\) | −29575.8 | + | 15646.0i | −0.361580 | + | 0.191281i | ||||
\(287\) | −8707.57 | + | 23923.9i | −0.105714 | + | 0.290447i | ||||
\(288\) | 70374.4 | + | 41623.4i | 0.848457 | + | 0.501826i | ||||
\(289\) | 4219.10 | + | 3540.25i | 0.0505155 | + | 0.0423875i | ||||
\(290\) | 9250.62 | + | 3760.14i | 0.109995 | + | 0.0447104i | ||||
\(291\) | 2170.04 | + | 382.637i | 0.0256261 | + | 0.00451857i | ||||
\(292\) | −12559.5 | − | 26028.1i | −0.147301 | − | 0.305265i | ||||
\(293\) | 7867.42 | + | 13626.8i | 0.0916425 | + | 0.158730i | 0.908202 | − | 0.418531i | \(-0.137455\pi\) |
−0.816560 | + | 0.577261i | \(0.804122\pi\) | |||||||
\(294\) | −4198.24 | + | 4642.95i | −0.0485705 | + | 0.0537154i | ||||
\(295\) | −845.162 | − | 2322.06i | −0.00971172 | − | 0.0266827i | ||||
\(296\) | 5095.88 | + | 11642.7i | 0.0581616 | + | 0.132883i | ||||
\(297\) | 2983.52 | − | 5167.60i | 0.0338233 | − | 0.0585836i | ||||
\(298\) | 148492. | − | 47902.8i | 1.67213 | − | 0.539422i | ||||
\(299\) | 102075. | + | 121648.i | 1.14176 | + | 1.36070i | ||||
\(300\) | −2900.29 | − | 10277.5i | −0.0322254 | − | 0.114194i | ||||
\(301\) | 19063.6 | + | 108115.i | 0.210413 | + | 1.19331i | ||||
\(302\) | −49361.2 | + | 6831.43i | −0.541217 | + | 0.0749028i | ||||
\(303\) | 9798.72i | 0.106729i | ||||||||
\(304\) | 88688.5 | + | 25982.0i | 0.959666 | + | 0.281142i | ||||
\(305\) | −1695.89 | −0.0182304 | ||||||||
\(306\) | −13064.2 | − | 94397.0i | −0.139522 | − | 1.00813i | ||||
\(307\) | −106858. | + | 18841.9i | −1.13378 | + | 0.199916i | −0.708884 | − | 0.705325i | \(-0.750801\pi\) |
−0.424898 | + | 0.905241i | \(0.639690\pi\) | |||||||
\(308\) | −16340.7 | + | 4611.34i | −0.172254 | + | 0.0486100i | ||||
\(309\) | −14898.6 | + | 12501.4i | −0.156037 | + | 0.130931i | ||||
\(310\) | 2626.06 | + | 8140.40i | 0.0273264 | + | 0.0847076i | ||||
\(311\) | 110041. | + | 63532.2i | 1.13772 | + | 0.656861i | 0.945864 | − | 0.324563i | \(-0.105217\pi\) |
0.191852 | + | 0.981424i | \(0.438551\pi\) | |||||||
\(312\) | −15256.1 | + | 6677.45i | −0.156724 | + | 0.0685965i | ||||
\(313\) | −124322. | + | 45249.6i | −1.26900 | + | 0.461877i | −0.886778 | − | 0.462195i | \(-0.847062\pi\) |
−0.382218 | + | 0.924072i | \(0.624840\pi\) | |||||||
\(314\) | 89932.3 | + | 81318.5i | 0.912129 | + | 0.824765i | ||||
\(315\) | 4091.19 | − | 2362.05i | 0.0412315 | − | 0.0238050i | ||||
\(316\) | 64101.9 | − | 30931.5i | 0.641944 | − | 0.309761i | ||||
\(317\) | 16052.8 | − | 91039.7i | 0.159746 | − | 0.905967i | −0.794571 | − | 0.607171i | \(-0.792304\pi\) |
0.954317 | − | 0.298795i | \(-0.0965848\pi\) | |||||||
\(318\) | 2542.11 | − | 6254.04i | 0.0251385 | − | 0.0618452i | ||||
\(319\) | 28781.1 | − | 34299.9i | 0.282830 | − | 0.337064i | ||||
\(320\) | −374.657 | + | 7877.45i | −0.00365876 | + | 0.0769282i | ||||
\(321\) | 3506.41 | + | 1276.23i | 0.0340293 | + | 0.0123856i | ||||
\(322\) | 37681.8 | + | 71230.2i | 0.363430 | + | 0.686993i | ||||
\(323\) | −40618.0 | − | 99762.1i | −0.389326 | − | 0.956226i | ||||
\(324\) | −56554.7 | + | 83089.8i | −0.538739 | + | 0.791512i | ||||
\(325\) | −141416. | − | 51471.3i | −1.33885 | − | 0.487302i | ||||
\(326\) | 2281.06 | + | 2932.32i | 0.0214636 | + | 0.0275915i | ||||
\(327\) | 13964.1 | − | 16641.8i | 0.130593 | − | 0.155634i | ||||
\(328\) | 44145.4 | − | 29372.9i | 0.410334 | − | 0.273023i | ||||
\(329\) | 2699.44 | − | 15309.3i | 0.0249391 | − | 0.141437i | ||||
\(330\) | 285.514 | + | 10.5716i | 0.00262180 | + | 9.70761e-5i | ||||
\(331\) | −41940.2 | + | 24214.2i | −0.382802 | + | 0.221011i | −0.679037 | − | 0.734104i | \(-0.737602\pi\) |
0.296234 | + | 0.955115i | \(0.404269\pi\) | |||||||
\(332\) | −115396. | − | 29287.5i | −1.04692 | − | 0.265709i | ||||
\(333\) | −14899.5 | + | 5422.98i | −0.134364 | + | 0.0489046i | ||||
\(334\) | 141996. | + | 89144.8i | 1.27287 | + | 0.799104i | ||||
\(335\) | 6150.51 | + | 3551.00i | 0.0548052 | + | 0.0316418i | ||||
\(336\) | −8280.62 | + | 1687.42i | −0.0733473 | + | 0.0149467i | ||||
\(337\) | −116649. | + | 97880.4i | −1.02712 | + | 0.861859i | −0.990506 | − | 0.137471i | \(-0.956103\pi\) |
−0.0366172 | + | 0.999329i | \(0.511658\pi\) | |||||||
\(338\) | −25289.7 | + | 117760.i | −0.221366 | + | 1.03078i | ||||
\(339\) | 13422.9 | − | 2366.81i | 0.116801 | − | 0.0205951i | ||||
\(340\) | 7458.99 | − | 5371.49i | 0.0645241 | − | 0.0464661i | ||||
\(341\) | 38353.8 | 0.329837 | ||||||||
\(342\) | −39371.5 | + | 108367.i | −0.336612 | + | 0.926499i | ||||
\(343\) | 118544.i | 1.00761i | ||||||||
\(344\) | 101527. | − | 204870.i | 0.857952 | − | 1.73126i | ||||
\(345\) | −235.466 | − | 1335.40i | −0.00197829 | − | 0.0112195i | ||||
\(346\) | −7300.86 | + | 33996.2i | −0.0609849 | + | 0.283973i | ||||
\(347\) | −60588.5 | − | 72206.5i | −0.503189 | − | 0.599677i | 0.453332 | − | 0.891342i | \(-0.350235\pi\) |
−0.956521 | + | 0.291665i | \(0.905791\pi\) | |||||||
\(348\) | 15548.3 | − | 15965.8i | 0.128388 | − | 0.131835i | ||||
\(349\) | −68961.6 | + | 119445.i | −0.566183 | + | 0.980657i | 0.430756 | + | 0.902468i | \(0.358247\pi\) |
−0.996939 | + | 0.0781887i | \(0.975086\pi\) | |||||||
\(350\) | −64677.8 | − | 40604.5i | −0.527982 | − | 0.331466i | ||||
\(351\) | −14314.8 | − | 39329.7i | −0.116191 | − | 0.319232i | ||||
\(352\) | 33100.7 | + | 12443.4i | 0.267148 | + | 0.100427i | ||||
\(353\) | 55756.5 | + | 96573.0i | 0.447451 | + | 0.775008i | 0.998219 | − | 0.0596499i | \(-0.0189984\pi\) |
−0.550768 | + | 0.834658i | \(0.685665\pi\) | |||||||
\(354\) | −5511.15 | − | 204.059i | −0.0439781 | − | 0.00162836i | ||||
\(355\) | 6963.78 | + | 1227.90i | 0.0552571 | + | 0.00974332i | ||||
\(356\) | −568.225 | − | 5634.16i | −0.00448353 | − | 0.0444558i | ||||
\(357\) | 7545.31 | + | 6331.26i | 0.0592026 | + | 0.0496768i | ||||
\(358\) | −123306. | − | 158510.i | −0.962095 | − | 1.23678i | ||||
\(359\) | 25263.6 | − | 69411.2i | 0.196023 | − | 0.538568i | −0.802271 | − | 0.596960i | \(-0.796375\pi\) |
0.998294 | + | 0.0583920i | \(0.0185973\pi\) | |||||||
\(360\) | −9778.38 | − | 1090.17i | −0.0754505 | − | 0.00841177i | ||||
\(361\) | −12927.1 | + | 129678.i | −0.0991944 | + | 0.995068i | ||||
\(362\) | 87245.0 | + | 164920.i | 0.665769 | + | 1.25851i | ||||
\(363\) | −4941.19 | + | 13575.8i | −0.0374989 | + | 0.103027i | ||||
\(364\) | −48896.7 | + | 108592.i | −0.369043 | + | 0.819589i | ||||
\(365\) | 2664.07 | + | 2235.42i | 0.0199968 | + | 0.0167793i | ||||
\(366\) | −1425.21 | + | 3506.26i | −0.0106394 | + | 0.0261747i | ||||
\(367\) | −211573. | − | 37306.0i | −1.57082 | − | 0.276979i | −0.680653 | − | 0.732606i | \(-0.738304\pi\) |
−0.890171 | + | 0.455627i | \(0.849415\pi\) | |||||||
\(368\) | 24754.9 | − | 165996.i | 0.182796 | − | 1.22575i | ||||
\(369\) | 33076.4 | + | 57290.0i | 0.242921 | + | 0.420752i | ||||
\(370\) | −1134.38 | − | 1025.73i | −0.00828620 | − | 0.00749254i | ||||
\(371\) | −16512.0 | − | 45366.2i | −0.119964 | − | 0.329598i | ||||
\(372\) | 19037.3 | + | 1411.70i | 0.137568 | + | 0.0102014i | ||||
\(373\) | −43607.7 | + | 75530.7i | −0.313433 | + | 0.542883i | −0.979103 | − | 0.203364i | \(-0.934813\pi\) |
0.665670 | + | 0.746246i | \(0.268146\pi\) | |||||||
\(374\) | −12654.0 | − | 39225.4i | −0.0904656 | − | 0.280430i | ||||
\(375\) | 1656.96 | + | 1974.69i | 0.0117828 | + | 0.0140422i | ||||
\(376\) | −23431.3 | + | 22343.4i | −0.165737 | + | 0.158042i | ||||
\(377\) | −54536.3 | − | 309291.i | −0.383710 | − | 2.17613i | ||||
\(378\) | −2911.62 | − | 21038.2i | −0.0203775 | − | 0.147240i | ||||
\(379\) | − | 281714.i | − | 1.96124i | −0.195926 | − | 0.980619i | \(-0.562771\pi\) | ||
0.195926 | − | 0.980619i | \(-0.437229\pi\) | |||||||
\(380\) | −11015.1 | + | 1530.94i | −0.0762819 | + | 0.0106021i | ||||
\(381\) | 7447.55 | 0.0513055 | ||||||||
\(382\) | 169360. | − | 23438.8i | 1.16060 | − | 0.160624i | ||||
\(383\) | −134510. | + | 23717.8i | −0.916977 | + | 0.161688i | −0.612170 | − | 0.790726i | \(-0.709703\pi\) |
−0.304807 | + | 0.952414i | \(0.598592\pi\) | |||||||
\(384\) | 15971.8 | + | 7394.73i | 0.108316 | + | 0.0501488i | ||||
\(385\) | 1565.17 | − | 1313.33i | 0.0105594 | − | 0.00886039i | ||||
\(386\) | 142309. | − | 45908.2i | 0.955117 | − | 0.308117i | ||||
\(387\) | 247041. | + | 142629.i | 1.64948 | + | 0.952327i | ||||
\(388\) | −32729.4 | − | 2427.04i | −0.217407 | − | 0.0161218i | ||||
\(389\) | −15617.5 | + | 5684.29i | −0.103208 | + | 0.0375645i | −0.393108 | − | 0.919492i | \(-0.628600\pi\) |
0.289900 | + | 0.957057i | \(0.406378\pi\) | |||||||
\(390\) | 1344.08 | − | 1486.45i | 0.00883679 | − | 0.00977284i | ||||
\(391\) | −169407. | + | 97806.9i | −1.10809 | + | 0.639759i | ||||
\(392\) | 55274.1 | − | 75077.5i | 0.359707 | − | 0.488583i | ||||
\(393\) | 3565.62 | − | 20221.7i | 0.0230861 | − | 0.130928i | ||||
\(394\) | 40061.5 | + | 16284.0i | 0.258068 | + | 0.104898i | ||||
\(395\) | −5505.40 | + | 6561.08i | −0.0352853 | + | 0.0420514i | ||||
\(396\) | −18113.7 | + | 40227.8i | −0.115509 | + | 0.256528i | ||||
\(397\) | −72026.8 | − | 26215.6i | −0.456996 | − | 0.166333i | 0.103256 | − | 0.994655i | \(-0.467074\pi\) |
−0.560253 | + | 0.828322i | \(0.689296\pi\) | |||||||
\(398\) | −64561.1 | + | 34153.8i | −0.407573 | + | 0.215612i | ||||
\(399\) | −4493.78 | − | 11037.2i | −0.0282271 | − | 0.0693287i | ||||
\(400\) | 58338.9 | + | 147965.i | 0.364618 | + | 0.924784i | ||||
\(401\) | −253861. | − | 92397.8i | −1.57873 | − | 0.574610i | −0.603801 | − | 0.797135i | \(-0.706348\pi\) |
−0.974927 | + | 0.222525i | \(0.928570\pi\) | |||||||
\(402\) | 12510.6 | − | 9732.02i | 0.0774149 | − | 0.0602214i | ||||
\(403\) | 172923. | − | 206081.i | 1.06474 | − | 1.26890i | ||||
\(404\) | −14644.5 | − | 145206.i | −0.0897248 | − | 0.889654i | ||||
\(405\) | 2100.28 | − | 11911.3i | 0.0128046 | − | 0.0726188i | ||||
\(406\) | 5896.91 | − | 159262.i | 0.0357744 | − | 0.966183i | ||||
\(407\) | −5938.88 | + | 3428.81i | −0.0358522 | + | 0.0206993i | ||||
\(408\) | −4837.13 | − | 19935.7i | −0.0290581 | − | 0.119760i | ||||
\(409\) | 165272. | − | 60154.0i | 0.987989 | − | 0.359598i | 0.203047 | − | 0.979169i | \(-0.434915\pi\) |
0.784941 | + | 0.619570i | \(0.212693\pi\) | |||||||
\(410\) | −3392.65 | + | 5404.06i | −0.0201824 | + | 0.0321479i | ||||
\(411\) | −19323.4 | − | 11156.4i | −0.114393 | − | 0.0660449i | ||||
\(412\) | 202096. | − | 207523.i | 1.19059 | − | 1.22256i | ||||
\(413\) | −30211.8 | + | 25350.7i | −0.177123 | + | 0.148624i | ||||
\(414\) | 204718. | + | 43964.4i | 1.19442 | + | 0.256508i | ||||
\(415\) | 14108.9 | − | 2487.78i | 0.0819213 | − | 0.0144449i | ||||
\(416\) | 216099. | − | 121753.i | 1.24872 | − | 0.703547i | ||||
\(417\) | −26357.7 | −0.151578 | ||||||||
\(418\) | −8630.82 | + | 49113.8i | −0.0493969 | + | 0.281093i | ||||
\(419\) | 89944.2i | 0.512324i | 0.966634 | + | 0.256162i | \(0.0824581\pi\) | ||||
−0.966634 | + | 0.256162i | \(0.917542\pi\) | |||||||
\(420\) | 825.227 | − | 594.275i | 0.00467816 | − | 0.00336891i | ||||
\(421\) | 14276.4 | + | 80965.4i | 0.0805478 | + | 0.456810i | 0.998229 | + | 0.0594915i | \(0.0189479\pi\) |
−0.917681 | + | 0.397318i | \(0.869941\pi\) | |||||||
\(422\) | −202805. | − | 43553.4i | −1.13881 | − | 0.244567i | ||||
\(423\) | −25964.1 | − | 30942.8i | −0.145108 | − | 0.172933i | ||||
\(424\) | −28324.2 | + | 96476.9i | −0.157553 | + | 0.536651i | ||||
\(425\) | 92689.7 | − | 160543.i | 0.513161 | − | 0.888820i | ||||
\(426\) | 8390.99 | − | 13365.8i | 0.0462375 | − | 0.0736503i | ||||
\(427\) | 9257.25 | + | 25434.1i | 0.0507722 | + | 0.139496i | ||||
\(428\) | −53868.3 | − | 13671.8i | −0.294067 | − | 0.0746342i | ||||
\(429\) | −4492.99 | − | 7782.08i | −0.0244130 | − | 0.0422845i | ||||
\(430\) | −1018.07 | + | 27495.6i | −0.00550605 | + | 0.148705i | ||||
\(431\) | 44948.7 | + | 7925.68i | 0.241971 | + | 0.0426660i | 0.293318 | − | 0.956015i | \(-0.405240\pi\) |
−0.0513474 | + | 0.998681i | \(0.516352\pi\) | |||||||
\(432\) | −21094.5 | + | 38880.4i | −0.113032 | + | 0.208335i | ||||
\(433\) | 233398. | + | 195844.i | 1.24486 | + | 1.04456i | 0.997128 | + | 0.0757357i | \(0.0241305\pi\) |
0.247735 | + | 0.968828i | \(0.420314\pi\) | |||||||
\(434\) | 107751. | − | 83820.1i | 0.572061 | − | 0.445009i | ||||
\(435\) | −917.223 | + | 2520.05i | −0.00484726 | + | 0.0133177i | ||||
\(436\) | −182061. | + | 267482.i | −0.957731 | + | 1.40709i | ||||
\(437\) | 236502. | − | 8893.72i | 1.23843 | − | 0.0465716i | ||||
\(438\) | 6860.62 | − | 3629.37i | 0.0357614 | − | 0.0189183i | ||||
\(439\) | −39489.9 | + | 108498.i | −0.204907 | + | 0.562977i | −0.998995 | − | 0.0448257i | \(-0.985727\pi\) |
0.794088 | + | 0.607803i | \(0.207949\pi\) | |||||||
\(440\) | −4246.79 | + | 270.051i | −0.0219359 | + | 0.00139489i | ||||
\(441\) | 89101.2 | + | 74764.8i | 0.458148 | + | 0.384432i | ||||
\(442\) | −267816. | − | 108861.i | −1.37086 | − | 0.557219i | ||||
\(443\) | −101076. | − | 17822.4i | −0.515039 | − | 0.0908152i | −0.0899132 | − | 0.995950i | \(-0.528659\pi\) |
−0.425126 | + | 0.905134i | \(0.639770\pi\) | |||||||
\(444\) | −3074.03 | + | 1483.33i | −0.0155934 | + | 0.00752440i | ||||
\(445\) | 340.716 | + | 590.138i | 0.00172057 | + | 0.00298012i | ||||
\(446\) | 53129.0 | − | 58756.8i | 0.267093 | − | 0.295385i | ||||
\(447\) | 14331.8 | + | 39376.2i | 0.0717273 | + | 0.197069i | ||||
\(448\) | 120187. | − | 37381.3i | 0.598829 | − | 0.186251i | ||||
\(449\) | 107849. | − | 186800.i | 0.534962 | − | 0.926582i | −0.464203 | − | 0.885729i | \(-0.653659\pi\) |
0.999165 | − | 0.0408532i | \(-0.0130076\pi\) | |||||||
\(450\) | −188848. | + | 60921.5i | −0.932581 | + | 0.300847i | ||||
\(451\) | 18390.9 | + | 21917.4i | 0.0904170 | + | 0.107755i | ||||
\(452\) | −195374. | + | 55134.4i | −0.956292 | + | 0.269864i | ||||
\(453\) | −2323.93 | − | 13179.7i | −0.0113247 | − | 0.0642256i | ||||
\(454\) | −16543.1 | + | 2289.52i | −0.0802613 | + | 0.0111079i | ||||
\(455\) | − | 14331.2i | − | 0.0692246i | ||||||
\(456\) | −6091.74 | + | 24060.4i | −0.0292962 | + | 0.115711i | ||||
\(457\) | −389470. | −1.86484 | −0.932421 | − | 0.361375i | \(-0.882307\pi\) | ||||
−0.932421 | + | 0.361375i | \(0.882307\pi\) | |||||||
\(458\) | −34873.1 | − | 251979.i | −0.166249 | − | 1.20125i | ||||
\(459\) | 50773.2 | − | 8952.68i | 0.240996 | − | 0.0424940i | ||||
\(460\) | 5485.14 | + | 19437.1i | 0.0259222 | + | 0.0918579i | ||||
\(461\) | −54286.0 | + | 45551.4i | −0.255438 | + | 0.214338i | −0.761510 | − | 0.648153i | \(-0.775542\pi\) |
0.506072 | + | 0.862492i | \(0.331097\pi\) | |||||||
\(462\) | −1399.97 | − | 4339.71i | −0.00655897 | − | 0.0203318i | ||||
\(463\) | 144753. | + | 83573.3i | 0.675253 | + | 0.389857i | 0.798064 | − | 0.602573i | \(-0.205858\pi\) |
−0.122811 | + | 0.992430i | \(0.539191\pi\) | |||||||
\(464\) | −206546. | + | 259832.i | −0.959358 | + | 1.20686i | ||||
\(465\) | −2158.63 | + | 785.676i | −0.00998324 | + | 0.00363360i | ||||
\(466\) | −25633.0 | − | 23177.8i | −0.118039 | − | 0.106734i | ||||
\(467\) | 85114.8 | − | 49141.1i | 0.390276 | − | 0.225326i | −0.292004 | − | 0.956417i | \(-0.594322\pi\) |
0.682280 | + | 0.731091i | \(0.260989\pi\) | |||||||
\(468\) | 134483. | + | 278699.i | 0.614009 | + | 1.27246i | ||||
\(469\) | 19682.7 | − | 111626.i | 0.0894827 | − | 0.507482i | ||||
\(470\) | 1467.09 | − | 3609.31i | 0.00664144 | − | 0.0163391i | ||||
\(471\) | −20930.6 | + | 24944.1i | −0.0943496 | + | 0.112441i | ||||
\(472\) | 81974.0 | − | 5212.69i | 0.367953 | − | 0.0233979i | ||||
\(473\) | 115934. | + | 42196.6i | 0.518190 | + | 0.188606i | ||||
\(474\) | 8938.40 | + | 16896.3i | 0.0397835 | + | 0.0752030i | ||||
\(475\) | −189887. | + | 119363.i | −0.841603 | + | 0.529034i | ||||
\(476\) | −121275. | − | 82545.3i | −0.535251 | − | 0.364316i | ||||
\(477\) | −117879. | − | 42904.4i | −0.518082 | − | 0.188567i | ||||
\(478\) | 177951. | + | 228757.i | 0.778833 | + | 1.00119i | ||||
\(479\) | 255987. | − | 305073.i | 1.11570 | − | 1.32964i | 0.177269 | − | 0.984163i | \(-0.443274\pi\) |
0.938429 | − | 0.345473i | \(-0.112282\pi\) | |||||||
\(480\) | −2117.87 | − | 22.2707i | −0.00919216 | − | 9.66611e-5i | ||||
\(481\) | −8352.57 | + | 47369.8i | −0.0361019 | + | 0.204744i | ||||
\(482\) | −194136. | − | 7188.20i | −0.835627 | − | 0.0309404i | ||||
\(483\) | −18742.3 | + | 10820.9i | −0.0803395 | + | 0.0463840i | ||||
\(484\) | 52933.2 | − | 208563.i | 0.225963 | − | 0.890319i | ||||
\(485\) | 3711.17 | − | 1350.75i | 0.0157771 | − | 0.00574239i | ||||
\(486\) | −70276.2 | − | 44119.2i | −0.297533 | − | 0.186791i | ||||
\(487\) | −151988. | − | 87750.4i | −0.640843 | − | 0.369991i | 0.144096 | − | 0.989564i | \(-0.453973\pi\) |
−0.784939 | + | 0.619573i | \(0.787306\pi\) | |||||||
\(488\) | 15879.7 | − | 54088.7i | 0.0666810 | − | 0.227126i | ||||
\(489\) | −764.308 | + | 641.331i | −0.00319632 | + | 0.00268203i | ||||
\(490\) | −2355.63 | + | 10968.9i | −0.00981102 | + | 0.0456846i | ||||
\(491\) | −288778. | + | 50919.4i | −1.19785 | + | 0.211213i | −0.736768 | − | 0.676146i | \(-0.763649\pi\) |
−0.461080 | + | 0.887359i | \(0.652538\pi\) | |||||||
\(492\) | 8321.78 | + | 11555.9i | 0.0343784 | + | 0.0477388i | ||||
\(493\) | 386869. | 1.59173 | ||||||||
\(494\) | 224983. | + | 267810.i | 0.921927 | + | 1.09742i | ||||
\(495\) | − | 5308.96i | − | 0.0216670i | ||||||
\(496\) | −284220. | + | 7532.01i | −1.15529 | + | 0.0306159i | ||||
\(497\) | −19597.4 | − | 111142.i | −0.0793387 | − | 0.449952i | ||||
\(498\) | 6713.47 | − | 31261.0i | 0.0270700 | − | 0.126050i | ||||
\(499\) | 172306. | + | 205346.i | 0.691987 | + | 0.824678i | 0.991595 | − | 0.129384i | \(-0.0413001\pi\) |
−0.299607 | + | 0.954063i | \(0.596856\pi\) | |||||||
\(500\) | −27505.5 | − | 26786.2i | −0.110022 | − | 0.107145i | ||||
\(501\) | −22513.7 | + | 38994.8i | −0.0896955 | + | 0.155357i | ||||
\(502\) | −314265. | − | 197295.i | −1.24706 | − | 0.782903i | ||||
\(503\) | 136035. | + | 373752.i | 0.537668 | + | 1.47723i | 0.849756 | + | 0.527177i | \(0.176749\pi\) |
−0.312088 | + | 0.950053i | \(0.601028\pi\) | |||||||
\(504\) | 37027.0 | + | 152602.i | 0.145766 | + | 0.600759i | ||||
\(505\) | 8781.08 | + | 15209.3i | 0.0344322 | + | 0.0596384i | ||||
\(506\) | 90497.7 | + | 3350.82i | 0.353457 | + | 0.0130873i | ||||
\(507\) | −31855.9 | − | 5617.05i | −0.123929 | − | 0.0218520i | ||||
\(508\) | −110364. | + | 11130.6i | −0.427662 | + | 0.0431312i | ||||
\(509\) | −105103. | − | 88191.7i | −0.405676 | − | 0.340402i | 0.417007 | − | 0.908903i | \(-0.363079\pi\) |
−0.822682 | + | 0.568501i | \(0.807524\pi\) | |||||||
\(510\) | 1515.72 | + | 1948.47i | 0.00582746 | + | 0.00749123i | ||||
\(511\) | 18983.6 | − | 52156.9i | 0.0727002 | − | 0.199742i | ||||
\(512\) | −247736. | − | 85711.0i | −0.945038 | − | 0.326962i | ||||
\(513\) | −59375.6 | − | 19116.5i | −0.225618 | − | 0.0726395i | ||||
\(514\) | −122640. | − | 231827.i | −0.464200 | − | 0.877481i | ||||
\(515\) | −11922.1 | + | 32755.6i | −0.0449507 | + | 0.123501i | ||||
\(516\) | 55991.9 | + | 25211.9i | 0.210293 | + | 0.0946905i | ||||
\(517\) | −13382.8 | − | 11229.5i | −0.0500687 | − | 0.0420126i | ||||
\(518\) | −9191.21 | + | 22612.0i | −0.0342541 | + | 0.0842713i | ||||
\(519\) | −9196.44 | − | 1621.58i | −0.0341417 | − | 0.00602010i | ||||
\(520\) | −17696.1 | + | 24036.2i | −0.0654442 | + | 0.0888914i | ||||
\(521\) | 206253. | + | 357241.i | 0.759845 | + | 1.31609i | 0.942929 | + | 0.332993i | \(0.108059\pi\) |
−0.183084 | + | 0.983097i | \(0.558608\pi\) | |||||||
\(522\) | −307158. | − | 277738.i | −1.12725 | − | 1.01928i | ||||
\(523\) | 66765.9 | + | 183438.i | 0.244091 | + | 0.670634i | 0.999875 | + | 0.0158131i | \(0.00503367\pi\) |
−0.755784 | + | 0.654821i | \(0.772744\pi\) | |||||||
\(524\) | −22616.5 | + | 304991.i | −0.0823688 | + | 1.11077i | ||||
\(525\) | 10254.7 | − | 17761.7i | 0.0372054 | − | 0.0644416i | ||||
\(526\) | 103405. | + | 320539.i | 0.373739 | + | 1.15853i | ||||
\(527\) | 213010. | + | 253855.i | 0.766971 | + | 0.914040i | ||||
\(528\) | −3010.62 | + | 9007.22i | −0.0107991 | + | 0.0323089i | ||||
\(529\) | −26040.6 | − | 147684.i | −0.0930551 | − | 0.527742i | ||||
\(530\) | −1658.74 | − | 11985.4i | −0.00590511 | − | 0.0426679i | ||||
\(531\) | 102477.i | 0.363443i | ||||||||
\(532\) | 83088.1 | + | 156843.i | 0.293572 | + | 0.554167i | ||||
\(533\) | 200684. | 0.706411 | ||||||||
\(534\) | 1506.45 | − | 208.488i | 0.00528289 | − | 0.000731136i | ||||
\(535\) | 6586.23 | − | 1161.33i | 0.0230107 | − | 0.00405740i | ||||
\(536\) | −170847. | + | 162915.i | −0.594673 | + | 0.567062i | ||||
\(537\) | 41315.7 | − | 34668.0i | 0.143274 | − | 0.120221i | ||||
\(538\) | −52060.0 | + | 16794.3i | −0.179862 | + | 0.0580228i | ||||
\(539\) | 43566.0 | + | 25152.8i | 0.149958 | + | 0.0865784i | ||||
\(540\) | 393.643 | − | 5308.40i | 0.00134994 | − | 0.0182044i | ||||
\(541\) | −154367. | + | 56184.8i | −0.527423 | + | 0.191966i | −0.591987 | − | 0.805947i | \(-0.701656\pi\) |
0.0645645 | + | 0.997914i | \(0.479434\pi\) | |||||||
\(542\) | 123671. | − | 136771.i | 0.420987 | − | 0.465581i | ||||
\(543\) | −43394.2 | + | 25053.7i | −0.147174 | + | 0.0849712i | ||||
\(544\) | 101475. | + | 288194.i | 0.342896 | + | 0.973841i | ||||
\(545\) | 6761.22 | − | 38344.8i | 0.0227631 | − | 0.129096i | ||||
\(546\) | −29629.9 | − | 12043.8i | −0.0993906 | − | 0.0403997i | ||||
\(547\) | 264723. | − | 315484.i | 0.884741 | − | 1.05439i | −0.113406 | − | 0.993549i | \(-0.536176\pi\) |
0.998147 | − | 0.0608450i | \(-0.0193795\pi\) | |||||||
\(548\) | 303024. | + | 136445.i | 1.00906 | + | 0.454357i | ||||
\(549\) | 66087.5 | + | 24053.9i | 0.219268 | + | 0.0798069i | ||||
\(550\) | −75860.6 | + | 40131.4i | −0.250779 | + | 0.132666i | ||||
\(551\) | −413864. | − | 218634.i | −1.36319 | − | 0.720137i | ||||
\(552\) | 44796.1 | + | 4994.20i | 0.147015 | + | 0.0163903i | ||||
\(553\) | 128452. | + | 46752.7i | 0.420040 | + | 0.152882i | ||||
\(554\) | −153732. | + | 119589.i | −0.500894 | + | 0.389647i | ||||
\(555\) | 264.013 | − | 314.638i | 0.000857115 | − | 0.00102147i | ||||
\(556\) | 390591. | − | 39392.5i | 1.26349 | − | 0.127428i | ||||
\(557\) | 4951.95 | − | 28083.9i | 0.0159612 | − | 0.0905205i | −0.975787 | − | 0.218725i | \(-0.929810\pi\) |
0.991748 | + | 0.128204i | \(0.0409214\pi\) | |||||||
\(558\) | 13124.9 | − | 354473.i | 0.0421529 | − | 1.13845i | ||||
\(559\) | 749432. | − | 432685.i | 2.39833 | − | 1.38468i | ||||
\(560\) | −11340.7 | + | 10039.8i | −0.0361631 | + | 0.0320147i | ||||
\(561\) | 10401.6 | − | 3785.86i | 0.0330501 | − | 0.0120293i | ||||
\(562\) | 134402. | − | 214085.i | 0.425533 | − | 0.677819i | ||||
\(563\) | −261239. | − | 150827.i | −0.824180 | − | 0.475840i | 0.0276761 | − | 0.999617i | \(-0.491189\pi\) |
−0.851856 | + | 0.523777i | \(0.824523\pi\) | |||||||
\(564\) | −6229.36 | − | 6066.46i | −0.0195833 | − | 0.0190712i | ||||
\(565\) | 18713.5 | − | 15702.5i | 0.0586218 | − | 0.0491895i | ||||
\(566\) | −339880. | − | 72991.2i | −1.06095 | − | 0.227844i | ||||
\(567\) | −190105. | + | 33520.6i | −0.591326 | + | 0.104267i | ||||
\(568\) | −104369. | + | 210606.i | −0.323501 | + | 0.652790i | ||||
\(569\) | −262214. | −0.809901 | −0.404950 | − | 0.914339i | \(-0.632711\pi\) | ||||
−0.404950 | + | 0.914339i | \(0.632711\pi\) | |||||||
\(570\) | −520.334 | − | 2941.02i | −0.00160152 | − | 0.00905209i | ||||
\(571\) | 275355.i | 0.844541i | 0.906470 | + | 0.422270i | \(0.138767\pi\) | ||||
−0.906470 | + | 0.422270i | \(0.861233\pi\) | |||||||
\(572\) | 78211.5 | + | 108607.i | 0.239044 | + | 0.331943i | ||||
\(573\) | 7973.47 | + | 45219.8i | 0.0242850 | + | 0.137727i | ||||
\(574\) | 99566.8 | + | 21382.5i | 0.302197 | + | 0.0648986i | ||||
\(575\) | 261817. | + | 312022.i | 0.791886 | + | 0.943734i | ||||
\(576\) | 126331. | − | 301665.i | 0.380773 | − | 0.909242i | ||||
\(577\) | −8506.76 | + | 14734.1i | −0.0255513 | + | 0.0442561i | −0.878518 | − | 0.477709i | \(-0.841467\pi\) |
0.852967 | + | 0.521965i | \(0.174801\pi\) | |||||||
\(578\) | 11713.7 | − | 18658.4i | 0.0350621 | − | 0.0558494i | ||||
\(579\) | 13735.0 | + | 37736.6i | 0.0409705 | + | 0.112566i | ||||
\(580\) | 9825.89 | − | 38715.0i | 0.0292089 | − | 0.115086i | ||||
\(581\) | −114326. | − | 198019.i | −0.338683 | − | 0.586616i | ||||
\(582\) | 326.131 | − | 8808.03i | 0.000962822 | − | 0.0260036i | ||||
\(583\) | −53430.4 | − | 9421.23i | −0.157200 | − | 0.0277185i | ||||
\(584\) | −96242.2 | + | 64036.5i | −0.282189 | + | 0.187759i | ||||
\(585\) | −28525.9 | − | 23936.1i | −0.0833543 | − | 0.0699426i | ||||
\(586\) | 49678.3 | − | 38645.0i | 0.144668 | − | 0.112538i | ||||
\(587\) | −140107. | + | 384941.i | −0.406615 | + | 1.11717i | 0.552342 | + | 0.833617i | \(0.313734\pi\) |
−0.958958 | + | 0.283549i | \(0.908488\pi\) | |||||||
\(588\) | 20698.6 | + | 14088.4i | 0.0598668 | + | 0.0407481i | ||||
\(589\) | −84410.3 | − | 391949.i | −0.243313 | − | 1.12979i | ||||
\(590\) | −8737.11 | + | 4622.06i | −0.0250994 | + | 0.0132780i | ||||
\(591\) | −3972.20 | + | 10913.5i | −0.0113725 | + | 0.0312457i | ||||
\(592\) | 43336.6 | − | 26575.5i | 0.123655 | − | 0.0758294i | ||||
\(593\) | 422035. | + | 354130.i | 1.20016 | + | 1.00705i | 0.999625 | + | 0.0273681i | \(0.00871261\pi\) |
0.200535 | + | 0.979686i | \(0.435732\pi\) | |||||||
\(594\) | −22111.3 | − | 8987.68i | −0.0626674 | − | 0.0254727i | ||||
\(595\) | 17385.3 | + | 3065.50i | 0.0491076 | + | 0.00865900i | ||||
\(596\) | −271229. | − | 562090.i | −0.763561 | − | 1.58239i | ||||
\(597\) | −9807.76 | − | 16987.5i | −0.0275183 | − | 0.0476630i | ||||
\(598\) | 426024. | − | 471152.i | 1.19133 | − | 1.31752i | ||||
\(599\) | −196915. | − | 541020.i | −0.548814 | − | 1.50785i | −0.835313 | − | 0.549774i | \(-0.814714\pi\) |
0.286499 | − | 0.958080i | \(-0.407508\pi\) | |||||||
\(600\) | −39131.3 | + | 17127.4i | −0.108698 | + | 0.0475760i | ||||
\(601\) | 203661. | − | 352750.i | 0.563843 | − | 0.976604i | −0.433314 | − | 0.901243i | \(-0.642656\pi\) |
0.997156 | − | 0.0753610i | \(-0.0240109\pi\) | |||||||
\(602\) | 417924. | − | 134821.i | 1.15320 | − | 0.372017i | ||||
\(603\) | −189315. | − | 225617.i | −0.520655 | − | 0.620493i | ||||
\(604\) | 54135.5 | + | 191834.i | 0.148391 | + | 0.525839i | ||||
\(605\) | 4496.33 | + | 25500.0i | 0.0122842 | + | 0.0696673i | ||||
\(606\) | 38824.8 | − | 5373.24i | 0.105722 | − | 0.0146316i | ||||
\(607\) | − | 495565.i | − | 1.34500i | −0.740096 | − | 0.672501i | \(-0.765220\pi\) | ||
0.740096 | − | 0.672501i | \(-0.234780\pi\) | |||||||
\(608\) | 54313.5 | − | 365652.i | 0.146927 | − | 0.989147i | ||||
\(609\) | 42801.3 | 0.115404 | ||||||||
\(610\) | 929.957 | + | 6719.50i | 0.00249921 | + | 0.0180583i | ||||
\(611\) | −120676. | + | 21278.4i | −0.323250 | + | 0.0569977i | ||||
\(612\) | −366859. | + | 103527.i | −0.979482 | + | 0.276409i | ||||
\(613\) | −198660. | + | 166695.i | −0.528676 | + | 0.443612i | −0.867644 | − | 0.497186i | \(-0.834367\pi\) |
0.338968 | + | 0.940798i | \(0.389922\pi\) | |||||||
\(614\) | 133253. | + | 413064.i | 0.353459 | + | 1.09567i | ||||
\(615\) | −1484.06 | − | 856.820i | −0.00392374 | − | 0.00226537i | ||||
\(616\) | 27231.8 | + | 62217.2i | 0.0717655 | + | 0.163964i | ||||
\(617\) | −280206. | + | 101987.i | −0.736049 | + | 0.267900i | −0.682723 | − | 0.730677i | \(-0.739204\pi\) |
−0.0533259 | + | 0.998577i | \(0.516982\pi\) | |||||||
\(618\) | 57703.3 | + | 52176.4i | 0.151086 | + | 0.136615i | ||||
\(619\) | −353496. | + | 204091.i | −0.922578 | + | 0.532651i | −0.884457 | − | 0.466622i | \(-0.845471\pi\) |
−0.0381215 | + | 0.999273i | \(0.512137\pi\) | |||||||
\(620\) | 30814.2 | − | 14869.0i | 0.0801617 | − | 0.0386809i | ||||
\(621\) | −19670.8 | + | 111559.i | −0.0510082 | + | 0.289282i | ||||
\(622\) | 191387. | − | 470847.i | 0.494689 | − | 1.21702i | ||||
\(623\) | 6990.75 | − | 8331.26i | 0.0180114 | − | 0.0214652i | ||||
\(624\) | 34823.5 | + | 56786.7i | 0.0894341 | + | 0.145840i | ||||
\(625\) | −360549. | − | 131229.i | −0.923005 | − | 0.335946i | ||||
\(626\) | 247463. | + | 467781.i | 0.631483 | + | 1.19370i | ||||
\(627\) | −13266.9 | − | 1828.29i | −0.0337470 | − | 0.00465061i | ||||
\(628\) | 272888. | − | 400925.i | 0.691934 | − | 1.01658i | ||||
\(629\) | −55678.0 | − | 20265.1i | −0.140729 | − | 0.0512211i | ||||
\(630\) | −11602.5 | − | 14915.0i | −0.0292327 | − | 0.0375788i | ||||
\(631\) | −25799.0 | + | 30746.0i | −0.0647953 | + | 0.0772201i | −0.797468 | − | 0.603361i | \(-0.793828\pi\) |
0.732673 | + | 0.680581i | \(0.238272\pi\) | |||||||
\(632\) | −157709. | − | 237025.i | −0.394841 | − | 0.593418i | ||||
\(633\) | 9673.57 | − | 54861.5i | 0.0241423 | − | 0.136918i | ||||
\(634\) | −369523. | − | 13682.2i | −0.919313 | − | 0.0340390i | ||||
\(635\) | 11559.9 | − | 6674.09i | 0.0286685 | − | 0.0165518i | ||||
\(636\) | −26173.9 | − | 6642.95i | −0.0647076 | − | 0.0164228i | ||||
\(637\) | 331573. | − | 120683.i | 0.817147 | − | 0.297417i | ||||
\(638\) | −151687. | − | 95228.6i | −0.372655 | − | 0.233952i | ||||
\(639\) | −253957. | − | 146622.i | −0.621955 | − | 0.359086i | ||||
\(640\) | 31417.7 | − | 2835.21i | 0.0767035 | − | 0.00692189i | ||||
\(641\) | −208497. | + | 174950.i | −0.507440 | + | 0.425793i | −0.860227 | − | 0.509911i | \(-0.829678\pi\) |
0.352787 | + | 0.935704i | \(0.385234\pi\) | |||||||
\(642\) | 3133.94 | − | 14593.1i | 0.00760362 | − | 0.0354059i | ||||
\(643\) | −271066. | + | 47796.3i | −0.655622 | + | 0.115604i | −0.491557 | − | 0.870846i | \(-0.663572\pi\) |
−0.164066 | + | 0.986449i | \(0.552461\pi\) | |||||||
\(644\) | 261567. | − | 188364.i | 0.630684 | − | 0.454178i | ||||
\(645\) | −7389.40 | −0.0177619 | ||||||||
\(646\) | −373008. | + | 215644.i | −0.893825 | + | 0.516739i | ||||
\(647\) | − | 589628.i | − | 1.40854i | −0.709931 | − | 0.704271i | \(-0.751274\pi\) | ||
0.709931 | − | 0.704271i | \(-0.248726\pi\) | |||||||
\(648\) | 360234. | + | 178520.i | 0.857895 | + | 0.425144i | ||||
\(649\) | 7696.32 | + | 43648.0i | 0.0182723 | + | 0.103627i | ||||
\(650\) | −126394. | + | 588549.i | −0.299158 | + | 1.39301i | ||||
\(651\) | 23566.4 | + | 28085.3i | 0.0556072 | + | 0.0662701i | ||||
\(652\) | 10367.7 | − | 10646.1i | 0.0243886 | − | 0.0250435i | ||||
\(653\) | −330617. | + | 572646.i | −0.775353 | + | 1.34295i | 0.159244 | + | 0.987239i | \(0.449094\pi\) |
−0.934596 | + | 0.355711i | \(0.884239\pi\) | |||||||
\(654\) | −73596.1 | − | 46203.5i | −0.172068 | − | 0.108024i | ||||
\(655\) | −12587.1 | − | 34582.7i | −0.0293388 | − | 0.0806078i | ||||
\(656\) | −140590. | − | 158807.i | −0.326698 | − | 0.369031i | ||||
\(657\) | −72110.6 | − | 124899.i | −0.167058 | − | 0.289354i | ||||
\(658\) | −62139.2 | − | 2300.80i | −0.143520 | − | 0.00531406i | ||||
\(659\) | −8296.81 | − | 1462.95i | −0.0191047 | − | 0.00336867i | 0.164088 | − | 0.986446i | \(-0.447532\pi\) |
−0.183192 | + | 0.983077i | \(0.558643\pi\) | |||||||
\(660\) | −114.678 | − | 1137.07i | −0.000263263 | − | 0.00261035i | ||||
\(661\) | 32728.3 | + | 27462.3i | 0.0749066 | + | 0.0628541i | 0.679472 | − | 0.733701i | \(-0.262209\pi\) |
−0.604566 | + | 0.796555i | \(0.706653\pi\) | |||||||
\(662\) | 118941. | + | 152899.i | 0.271403 | + | 0.348890i | ||||
\(663\) | 26554.7 | − | 72958.4i | 0.0604107 | − | 0.165977i | ||||
\(664\) | −52765.3 | + | 473285.i | −0.119678 | + | 1.07346i | ||||
\(665\) | −16866.0 | − | 13104.5i | −0.0381390 | − | 0.0296332i | ||||
\(666\) | 29657.4 | + | 56061.6i | 0.0668629 | + | 0.126391i | ||||
\(667\) | −290727. | + | 798766.i | −0.653482 | + | 1.79543i | ||||
\(668\) | 275348. | − | 611506.i | 0.617061 | − | 1.37040i | ||||
\(669\) | 16297.1 | + | 13674.9i | 0.0364132 | + | 0.0305543i | ||||
\(670\) | 10697.2 | − | 26317.0i | 0.0238298 | − | 0.0586255i | ||||
\(671\) | 29955.2 | + | 5281.91i | 0.0665315 | + | 0.0117313i | ||||
\(672\) | 11226.7 | + | 31884.4i | 0.0248608 | + | 0.0706058i | ||||
\(673\) | −80756.2 | − | 139874.i | −0.178298 | − | 0.308821i | 0.763000 | − | 0.646399i | \(-0.223726\pi\) |
−0.941298 | + | 0.337578i | \(0.890392\pi\) | |||||||
\(674\) | 451791. | + | 408518.i | 0.994530 | + | 0.899273i | ||||
\(675\) | −36716.9 | − | 100879.i | −0.0805858 | − | 0.221408i | ||||
\(676\) | 480462. | + | 35628.5i | 1.05139 | + | 0.0779659i | ||||
\(677\) | −308124. | + | 533687.i | −0.672277 | + | 1.16442i | 0.304980 | + | 0.952359i | \(0.401350\pi\) |
−0.977257 | + | 0.212059i | \(0.931983\pi\) | |||||||
\(678\) | −16738.4 | − | 51886.7i | −0.0364129 | − | 0.112875i | ||||
\(679\) | −40516.0 | − | 48285.0i | −0.0878793 | − | 0.104730i | ||||
\(680\) | −25373.3 | − | 26608.8i | −0.0548731 | − | 0.0575449i | ||||
\(681\) | −778.854 | − | 4417.10i | −0.00167943 | − | 0.00952451i | ||||
\(682\) | −21031.7 | − | 151967.i | −0.0452174 | − | 0.326723i | ||||
\(683\) | − | 718732.i | − | 1.54073i | −0.637605 | − | 0.770363i | \(-0.720075\pi\) | ||
0.637605 | − | 0.770363i | \(-0.279925\pi\) | |||||||
\(684\) | 450965. | + | 96574.8i | 0.963898 | + | 0.206420i | ||||
\(685\) | −39990.9 | −0.0852276 | ||||||||
\(686\) | 469701. | − | 65005.1i | 0.998097 | − | 0.138134i | ||||
\(687\) | 67279.6 | − | 11863.2i | 0.142551 | − | 0.0251356i | ||||
\(688\) | −867415. | − | 289930.i | −1.83253 | − | 0.612514i | ||||
\(689\) | −291519. | + | 244614.i | −0.614086 | + | 0.515279i | ||||
\(690\) | −5162.03 | + | 1665.25i | −0.0108423 | + | 0.00349770i | ||||
\(691\) | 760038. | + | 438808.i | 1.59177 | + | 0.919007i | 0.993004 | + | 0.118079i | \(0.0376737\pi\) |
0.598762 | + | 0.800927i | \(0.295660\pi\) | |||||||
\(692\) | 138704. | + | 10285.6i | 0.289653 | + | 0.0214791i | ||||
\(693\) | −79621.3 | + | 28979.8i | −0.165792 | + | 0.0603433i | ||||
\(694\) | −252875. | + | 279661.i | −0.525033 | + | 0.580648i | ||||
\(695\) | −40911.7 | + | 23620.4i | −0.0846988 | + | 0.0489009i | ||||
\(696\) | −71786.1 | − | 52850.8i | −0.148191 | − | 0.109102i | ||||
\(697\) | −42927.0 | + | 243451.i | −0.0883619 | + | 0.501125i | ||||
\(698\) | 511085. | + | 207743.i | 1.04902 | + | 0.426399i | ||||
\(699\) | 5965.75 | − | 7109.71i | 0.0122099 | − | 0.0145511i | ||||
\(700\) | −125418. | + | 278534.i | −0.255955 | + | 0.568437i | ||||
\(701\) | 225769. | + | 82173.4i | 0.459440 | + | 0.167223i | 0.561363 | − | 0.827570i | \(-0.310277\pi\) |
−0.101923 | + | 0.994792i | \(0.532499\pi\) | |||||||
\(702\) | −147984. | + | 78285.6i | −0.300289 | + | 0.158857i | ||||
\(703\) | 48110.6 | + | 53145.0i | 0.0973487 | + | 0.107536i | ||||
\(704\) | 31152.4 | − | 137976.i | 0.0628559 | − | 0.278393i | ||||
\(705\) | 983.247 | + | 357.873i | 0.00197827 | + | 0.000720030i | ||||
\(706\) | 352070. | − | 273877.i | 0.706350 | − | 0.549473i | ||||
\(707\) | 180169. | − | 214717.i | 0.360446 | − | 0.429563i | ||||
\(708\) | 2213.57 | + | 21948.4i | 0.00441598 | + | 0.0437861i | ||||
\(709\) | 112137. | − | 635962.i | 0.223079 | − | 1.26514i | −0.643246 | − | 0.765660i | \(-0.722413\pi\) |
0.866324 | − | 0.499482i | \(-0.166476\pi\) | |||||||
\(710\) | 1046.57 | − | 28265.5i | 0.00207612 | − | 0.0560711i | ||||
\(711\) | 307602. | − | 177594.i | 0.608484 | − | 0.351309i | ||||
\(712\) | −22012.3 | + | 5340.99i | −0.0434215 | + | 0.0105357i | ||||
\(713\) | −684208. | + | 249031.i | −1.34589 | + | 0.489863i | ||||
\(714\) | 20948.4 | − | 33368.1i | 0.0410917 | − | 0.0654538i | ||||
\(715\) | −13947.7 | − | 8052.74i | −0.0272830 | − | 0.0157518i | ||||
\(716\) | −560439. | + | 575488.i | −1.09321 | + | 1.12256i | ||||
\(717\) | −59625.5 | + | 50031.7i | −0.115983 | + | 0.0973211i | ||||
\(718\) | −288877. | − | 62037.9i | −0.560356 | − | 0.120340i | ||||
\(719\) | 801864. | − | 141390.i | 1.55111 | − | 0.273503i | 0.668538 | − | 0.743678i | \(-0.266921\pi\) |
0.882573 | + | 0.470176i | \(0.155810\pi\) | |||||||
\(720\) | 1042.59 | + | 39342.0i | 0.00201117 | + | 0.0758913i | ||||
\(721\) | 556331. | 1.07020 | ||||||||
\(722\) | 520904. | − | 19890.2i | 0.999272 | − | 0.0381562i | ||||
\(723\) | − | 52173.8i | − | 0.0998104i | ||||||
\(724\) | 605609. | − | 436121.i | 1.15535 | − | 0.832012i | ||||
\(725\) | −139883. | − | 793317.i | −0.266127 | − | 1.50928i | ||||
\(726\) | 56500.1 | + | 12133.7i | 0.107195 | + | 0.0230208i | ||||
\(727\) | 4522.84 | + | 5390.11i | 0.00855740 | + | 0.0101983i | 0.770306 | − | 0.637674i | \(-0.220103\pi\) |
−0.761749 | + | 0.647873i | \(0.775659\pi\) | |||||||
\(728\) | 457081. | + | 134193.i | 0.862443 | + | 0.253201i | ||||
\(729\) | −243275. | + | 421364.i | −0.457764 | + | 0.792871i | ||||
\(730\) | 7396.39 | − | 11781.5i | 0.0138795 | − | 0.0221083i | ||||
\(731\) | 364587. | + | 1.00170e6i | 0.682286 | + | 1.87457i | ||||
\(732\) | 14674.1 | + | 3724.30i | 0.0273861 | + | 0.00695061i | ||||
\(733\) | 76340.1 | + | 132225.i | 0.142084 | + | 0.246097i | 0.928281 | − | 0.371879i | \(-0.121286\pi\) |
−0.786197 | + | 0.617976i | \(0.787953\pi\) | |||||||
\(734\) | −31796.8 | + | 858758.i | −0.0590190 | + | 1.59396i | ||||
\(735\) | −2967.24 | − | 523.204i | −0.00549259 | − | 0.000968492i | ||||
\(736\) | −671291. | − | 7059.03i | −1.23924 | − | 0.0130313i | ||||
\(737\) | −97579.6 | − | 81879.0i | −0.179649 | − | 0.150743i | ||||
\(738\) | 208859. | − | 162472.i | 0.383477 | − | 0.298309i | ||||
\(739\) | −70886.3 | + | 194758.i | −0.129800 | + | 0.356621i | −0.987520 | − | 0.157495i | \(-0.949658\pi\) |
0.857720 | + | 0.514117i | \(0.171880\pi\) | |||||||
\(740\) | −3442.13 | + | 5057.15i | −0.00628584 | + | 0.00923512i | ||||
\(741\) | −69639.2 | + | 63042.3i | −0.126829 | + | 0.114814i | ||||
\(742\) | −170697. | + | 90301.3i | −0.310040 | + | 0.164016i | ||||
\(743\) | −363477. | + | 998646.i | −0.658415 | + | 1.80898i | −0.0744150 | + | 0.997227i | \(0.523709\pi\) |
−0.584000 | + | 0.811754i | \(0.698513\pi\) | |||||||
\(744\) | −4845.79 | − | 76204.3i | −0.00875425 | − | 0.137668i | ||||
\(745\) | 57532.1 | + | 48275.1i | 0.103657 | + | 0.0869783i | ||||
\(746\) | 323183. | + | 131366.i | 0.580726 | + | 0.236050i | ||||
\(747\) | −585100. | − | 103169.i | −1.04855 | − | 0.184887i | ||||
\(748\) | −148481. | + | 71647.7i | −0.265380 | + | 0.128056i | ||||
\(749\) | −53369.0 | − | 92437.8i | −0.0951318 | − | 0.164773i | ||||
\(750\) | 6915.56 | − | 7648.10i | 0.0122943 | − | 0.0135966i | ||||
\(751\) | −83957.5 | − | 230671.i | −0.148861 | − | 0.408991i | 0.842741 | − | 0.538319i | \(-0.180940\pi\) |
−0.991602 | + | 0.129328i | \(0.958718\pi\) | |||||||
\(752\) | 101378. | + | 80588.0i | 0.179271 | + | 0.142507i | ||||
\(753\) | 49827.1 | − | 86303.1i | 0.0878771 | − | 0.152208i | ||||
\(754\) | −1.19558e6 | + | 385689.i | −2.10298 | + | 0.678413i | ||||
\(755\) | −15418.0 | − | 18374.5i | −0.0270480 | − | 0.0322346i | ||||
\(756\) | −81761.6 | + | 23073.0i | −0.143056 | + | 0.0403702i | ||||
\(757\) | 99403.1 | + | 563743.i | 0.173464 | + | 0.983761i | 0.939902 | + | 0.341443i | \(0.110916\pi\) |
−0.766439 | + | 0.642317i | \(0.777973\pi\) | |||||||
\(758\) | −1.11622e6 | + | 154481.i | −1.94272 | + | 0.268866i | ||||
\(759\) | 24321.1i | 0.0422182i | ||||||||
\(760\) | 12106.2 | + | 42804.9i | 0.0209595 | + | 0.0741083i | ||||
\(761\) | 574516. | 0.992048 | 0.496024 | − | 0.868309i | \(-0.334793\pi\) | ||||
0.496024 | + | 0.868309i | \(0.334793\pi\) | |||||||
\(762\) | −4083.95 | − | 29509.0i | −0.00703348 | − | 0.0508211i | ||||
\(763\) | −611984. | + | 107909.i | −1.05121 | + | 0.185357i | ||||
\(764\) | −185740. | − | 658189.i | −0.318214 | − | 1.12762i | ||||
\(765\) | 35138.9 | − | 29485.0i | 0.0600434 | − | 0.0503824i | ||||
\(766\) | 167736. | + | 519956.i | 0.285870 | + | 0.886154i | ||||
\(767\) | 269228. | + | 155439.i | 0.457645 | + | 0.264221i | ||||
\(768\) | 20541.3 | − | 67339.1i | 0.0348262 | − | 0.114168i | ||||
\(769\) | 576342. | − | 209771.i | 0.974603 | − | 0.354726i | 0.194863 | − | 0.980830i | \(-0.437574\pi\) |
0.779740 | + | 0.626104i | \(0.215351\pi\) | |||||||
\(770\) | −6062.00 | − | 5481.38i | −0.0102243 | − | 0.00924504i | ||||
\(771\) | 60999.1 | − | 35217.8i | 0.102616 | − | 0.0592453i | ||||
\(772\) | −259936. | − | 538686.i | −0.436145 | − | 0.903859i | ||||
\(773\) | −93399.9 | + | 529697.i | −0.156310 | + | 0.886479i | 0.801268 | + | 0.598306i | \(0.204159\pi\) |
−0.957578 | + | 0.288174i | \(0.906952\pi\) | |||||||
\(774\) | 429662. | − | 1.05705e6i | 0.717208 | − | 1.76446i | ||||
\(775\) | 443539. | − | 528589.i | 0.738462 | − | 0.880065i | ||||
\(776\) | 8331.02 | + | 131012.i | 0.0138349 | + | 0.217565i | ||||
\(777\) | −6159.95 | − | 2242.04i | −0.0102032 | − | 0.00371365i | ||||
\(778\) | 31086.5 | + | 58763.0i | 0.0513586 | + | 0.0970834i | ||||
\(779\) | 183506. | − | 236179.i | 0.302395 | − | 0.389195i | ||||
\(780\) | −6626.70 | − | 4510.43i | −0.0108920 | − | 0.00741360i | ||||
\(781\) | −119180. | − | 43378.0i | −0.195390 | − | 0.0711160i | ||||
\(782\) | 480430. | + | 617595.i | 0.785627 | + | 1.00993i | ||||
\(783\) | 144007. | − | 171621.i | 0.234888 | − | 0.279929i | ||||
\(784\) | −327785. | − | 177839.i | −0.533282 | − | 0.289331i | ||||
\(785\) | −10134.3 | + | 57474.4i | −0.0164457 | + | 0.0932685i | ||||
\(786\) | −82078.2 | − | 3039.07i | −0.132856 | − | 0.00491921i | ||||
\(787\) | 117193. | − | 67661.5i | 0.189214 | − | 0.109243i | −0.402401 | − | 0.915464i | \(-0.631824\pi\) |
0.591614 | + | 0.806221i | \(0.298491\pi\) | |||||||
\(788\) | 42552.8 | − | 167663.i | 0.0685292 | − | 0.270012i | ||||
\(789\) | −84998.7 | + | 30937.0i | −0.136539 | + | 0.0496963i | ||||
\(790\) | 29015.5 | + | 18215.8i | 0.0464917 | + | 0.0291874i | ||||
\(791\) | −337650. | − | 194942.i | −0.539652 | − | 0.311568i | ||||
\(792\) | 169325. | + | 49711.3i | 0.269942 | + | 0.0792510i | ||||
\(793\) | 163437. | − | 137140.i | 0.259899 | − | 0.218081i | ||||
\(794\) | −64375.7 | + | 299762.i | −0.102113 | + | 0.475484i | ||||
\(795\) | 3200.16 | − | 564.275i | 0.00506335 | − | 0.000892805i | ||||
\(796\) | 170728. | + | 237078.i | 0.269450 | + | 0.374166i | ||||
\(797\) | 709113. | 1.11635 | 0.558173 | − | 0.829725i | \(-0.311503\pi\) | ||||
0.558173 | + | 0.829725i | \(0.311503\pi\) | |||||||
\(798\) | −41267.8 | + | 23857.8i | −0.0648045 | + | 0.0374648i | ||||
\(799\) | − | 150945.i | − | 0.236442i | ||||||
\(800\) | 554283. | − | 312291.i | 0.866067 | − | 0.487955i | ||||
\(801\) | −4907.15 | − | 27829.9i | −0.00764829 | − | 0.0433756i | ||||
\(802\) | −226894. | + | 1.05652e6i | −0.352757 | + | 1.64260i | ||||
\(803\) | −40094.4 | − | 47782.7i | −0.0621803 | − | 0.0741036i | ||||
\(804\) | −45420.8 | − | 44233.1i | −0.0702656 | − | 0.0684282i | ||||
\(805\) | −19394.2 | + | 33591.7i | −0.0299281 | + | 0.0518370i | ||||
\(806\) | −911366. | − | 572153.i | −1.40289 | − | 0.880729i | ||||
\(807\) | −5024.60 | − | 13805.0i | −0.00771533 | − | 0.0211977i | ||||
\(808\) | −567309. | + | 137650.i | −0.868954 | + | 0.210841i | ||||
\(809\) | −558745. | − | 967775.i | −0.853723 | − | 1.47869i | −0.877825 | − | 0.478981i | \(-0.841006\pi\) |
0.0241025 | − | 0.999709i | \(-0.492327\pi\) | |||||||
\(810\) | −48347.1 | − | 1790.12i | −0.0736885 | − | 0.00272843i | ||||
\(811\) | −1.13514e6 | − | 200156.i | −1.72587 | − | 0.304318i | −0.779262 | − | 0.626698i | \(-0.784406\pi\) |
−0.946610 | + | 0.322380i | \(0.895517\pi\) | |||||||
\(812\) | −634266. | + | 63968.0i | −0.961965 | + | 0.0970176i | ||||
\(813\) | 37935.5 | + | 31831.7i | 0.0573938 | + | 0.0481591i | ||||
\(814\) | 16842.4 | + | 21651.0i | 0.0254188 | + | 0.0326760i | ||||
\(815\) | −611.610 | + | 1680.39i | −0.000920788 | + | 0.00252984i | ||||
\(816\) | −76337.3 | + | 30097.8i | −0.114645 | + | 0.0452017i | ||||
\(817\) | 176068. | − | 1.27764e6i | 0.263777 | − | 1.91409i | ||||
\(818\) | −328973. | − | 621859.i | −0.491647 | − | 0.929363i | ||||
\(819\) | −203269. | + | 558477.i | −0.303043 | + | 0.832603i | ||||
\(820\) | 23272.5 | + | 10479.1i | 0.0346112 | + | 0.0155846i | ||||
\(821\) | 190250. | + | 159639.i | 0.282253 | + | 0.236838i | 0.772912 | − | 0.634513i | \(-0.218799\pi\) |
−0.490659 | + | 0.871352i | \(0.663244\pi\) | |||||||
\(822\) | −33608.0 | + | 82681.6i | −0.0497392 | + | 0.122367i | ||||
\(823\) | 528598. | + | 93206.0i | 0.780415 | + | 0.137608i | 0.549643 | − | 0.835400i | \(-0.314764\pi\) |
0.230772 | + | 0.973008i | \(0.425875\pi\) | |||||||
\(824\) | −933076. | − | 686955.i | −1.37424 | − | 1.01175i | ||||
\(825\) | −11524.3 | − | 19960.7i | −0.0169319 | − | 0.0293270i | ||||
\(826\) | 117012. | + | 105805.i | 0.171503 | + | 0.155076i | ||||
\(827\) | 193265. | + | 530991.i | 0.282580 | + | 0.776383i | 0.997053 | + | 0.0767193i | \(0.0244445\pi\) |
−0.714473 | + | 0.699664i | \(0.753333\pi\) | |||||||
\(828\) | 61937.8 | − | 835251.i | 0.0903431 | − | 1.21831i | ||||
\(829\) | 665506. | − | 1.15269e6i | 0.968373 | − | 1.67727i | 0.268107 | − | 0.963389i | \(-0.413602\pi\) |
0.700266 | − | 0.713882i | \(-0.253065\pi\) | |||||||
\(830\) | −17593.9 | − | 54538.6i | −0.0255392 | − | 0.0791676i | ||||
\(831\) | −33623.0 | − | 40070.3i | −0.0486894 | − | 0.0580257i | ||||
\(832\) | −600914. | − | 789469.i | −0.868092 | − | 1.14048i | ||||
\(833\) | 75476.5 | + | 428048.i | 0.108773 | + | 0.616883i | ||||
\(834\) | 14453.5 | + | 104436.i | 0.0207798 | + | 0.150147i | ||||
\(835\) | 80702.0i | 0.115747i | ||||||||
\(836\) | 199333. | + | 7265.26i | 0.285211 | + | 0.0103953i | ||||
\(837\) | 191905. | 0.273927 | ||||||||
\(838\) | 356380. | − | 49321.9i | 0.507487 | − | 0.0702347i | ||||
\(839\) | −128677. | + | 22689.1i | −0.182800 | + | 0.0322325i | −0.264299 | − | 0.964441i | \(-0.585140\pi\) |
0.0814988 | + | 0.996673i | \(0.474029\pi\) | |||||||
\(840\) | −2807.18 | − | 2943.86i | −0.00397843 | − | 0.00417214i | ||||
\(841\) | 746001. | − | 625969.i | 1.05475 | − | 0.885036i | ||||
\(842\) | 312975. | − | 100965.i | 0.441454 | − | 0.142411i | ||||
\(843\) | 58791.8 | + | 33943.4i | 0.0827297 | + | 0.0477640i | ||||
\(844\) | −61358.7 | + | 827442.i | −0.0861374 | + | 1.16159i | ||||
\(845\) | −54479.4 | + | 19828.9i | −0.0762989 | + | 0.0277705i | ||||
\(846\) | −108365. | + | 119844.i | −0.151408 | + | 0.167446i | ||||
\(847\) | 357892. | − | 206629.i | 0.498868 | − | 0.288022i | ||||
\(848\) | 397796. | + | 59323.1i | 0.553183 | + | 0.0824959i | ||||
\(849\) | 16211.9 | − | 91942.5i | 0.0224916 | − | 0.127556i | ||||
\(850\) | −686937. | − | 279223.i | −0.950778 | − | 0.386467i | ||||
\(851\) | 83682.7 | − | 99729.1i | 0.115552 | − | 0.137709i | ||||
\(852\) | −57559.6 | − | 25917.8i | −0.0792936 | − | 0.0357042i | ||||
\(853\) | 375817. | + | 136786.i | 0.516510 | + | 0.187994i | 0.587105 | − | 0.809511i | \(-0.300268\pi\) |
−0.0705952 | + | 0.997505i | \(0.522490\pi\) | |||||||
\(854\) | 95699.5 | − | 50626.5i | 0.131218 | − | 0.0694164i | ||||
\(855\) | −54254.0 | + | 11684.2i | −0.0742163 | + | 0.0159832i | ||||
\(856\) | −24631.6 | + | 220936.i | −0.0336159 | + | 0.301522i | ||||
\(857\) | 1.20095e6 | + | 437111.i | 1.63518 | + | 0.595156i | 0.986186 | − | 0.165641i | \(-0.0529692\pi\) |
0.648991 | + | 0.760796i | \(0.275191\pi\) | |||||||
\(858\) | −28370.6 | + | 22069.7i | −0.0385385 | + | 0.0299793i | ||||
\(859\) | 28522.7 | − | 33992.1i | 0.0386549 | − | 0.0460672i | −0.746371 | − | 0.665531i | \(-0.768205\pi\) |
0.785026 | + | 0.619463i | \(0.212650\pi\) | |||||||
\(860\) | 109502. | − | 11043.7i | 0.148056 | − | 0.0149320i | ||||
\(861\) | −4749.23 | + | 26934.2i | −0.00640645 | + | 0.0363328i | ||||
\(862\) | 6755.25 | − | 182444.i | 0.00909132 | − | 0.245535i | ||||
\(863\) | 243979. | − | 140861.i | 0.327590 | − | 0.189134i | −0.327181 | − | 0.944962i | \(-0.606099\pi\) |
0.654771 | + | 0.755828i | \(0.272765\pi\) | |||||||
\(864\) | 165621. | + | 62260.9i | 0.221864 | + | 0.0834042i | ||||
\(865\) | −15727.6 | + | 5724.38i | −0.0210199 | + | 0.00765061i | ||||
\(866\) | 647994. | − | 1.03217e6i | 0.864043 | − | 1.37631i | ||||
\(867\) | 5123.95 | + | 2958.31i | 0.00681658 | + | 0.00393555i | ||||
\(868\) | −391201. | − | 380972.i | −0.519231 | − | 0.505654i | ||||
\(869\) | 117679. | − | 98744.5i | 0.155833 | − | 0.130760i | ||||
\(870\) | 10488.0 | + | 2252.35i | 0.0138565 | + | 0.00297576i | ||||
\(871\) | −879899. | + | 155150.i | −1.15984 | + | 0.204510i | ||||
\(872\) | 1.15966e6 | + | 574690.i | 1.52510 | + | 0.755790i | ||||
\(873\) | −163780. | −0.214898 | ||||||||
\(874\) | −164928. | − | 932200.i | −0.215909 | − | 1.22035i | ||||
\(875\) | − | 73737.2i | − | 0.0963098i | ||||||
\(876\) | −18142.5 | − | 25193.2i | −0.0236423 | − | 0.0328303i | ||||
\(877\) | −77887.4 | − | 441722.i | −0.101267 | − | 0.574314i | −0.992646 | − | 0.121055i | \(-0.961372\pi\) |
0.891379 | − | 0.453259i | \(-0.149739\pi\) | |||||||
\(878\) | 451547. | + | 96972.3i | 0.585753 | + | 0.125794i | ||||
\(879\) | 10865.2 | + | 12948.6i | 0.0140624 | + | 0.0167589i | ||||
\(880\) | 3398.78 | + | 16678.7i | 0.00438892 | + | 0.0215375i | ||||
\(881\) | −605822. | + | 1.04931e6i | −0.780536 | + | 1.35193i | 0.151093 | + | 0.988519i | \(0.451721\pi\) |
−0.931630 | + | 0.363409i | \(0.881613\pi\) | |||||||
\(882\) | 247376. | − | 394038.i | 0.317995 | − | 0.506525i | ||||
\(883\) | 346321. | + | 951509.i | 0.444178 | + | 1.22037i | 0.936719 | + | 0.350081i | \(0.113846\pi\) |
−0.492541 | + | 0.870289i | \(0.663932\pi\) | |||||||
\(884\) | −284471. | + | 1.12085e6i | −0.364027 | + | 1.43431i | ||||
\(885\) | −1327.29 | − | 2298.94i | −0.00169465 | − | 0.00293522i | ||||
\(886\) | −15190.5 | + | 410259.i | −0.0193510 | + | 0.522626i | ||||
\(887\) | −684116. | − | 120628.i | −0.869526 | − | 0.153321i | −0.278953 | − | 0.960305i | \(-0.589987\pi\) |
−0.590573 | + | 0.806984i | \(0.701098\pi\) | |||||||
\(888\) | 7562.98 | + | 11366.6i | 0.00959106 | + | 0.0144147i | ||||
\(889\) | −163196. | − | 136938.i | −0.206493 | − | 0.173269i | ||||
\(890\) | 2151.43 | − | 1673.61i | 0.00271611 | − | 0.00211287i | ||||
\(891\) | −74196.5 | + | 203853.i | −0.0934605 | + | 0.256781i | ||||
\(892\) | −261942. | − | 178290.i | −0.329212 | − | 0.224077i | ||||
\(893\) | −85304.6 | + | 161477.i | −0.106972 | + | 0.202493i | ||||
\(894\) | 148159. | − | 78378.1i | 0.185375 | − | 0.0980663i | ||||
\(895\) | 33061.4 | − | 90835.5i | 0.0412739 | − | 0.113399i | ||||
\(896\) | −214020. | − | 455712.i | −0.266586 | − | 0.567642i | ||||
\(897\) | 130681. | + | 109655.i | 0.162416 | + | 0.136283i | ||||
\(898\) | −799285. | − | 324889.i | −0.991172 | − | 0.402886i | ||||
\(899\) | 1.41814e6 | + | 250056.i | 1.75468 | + | 0.309398i | ||||
\(900\) | 344942. | + | 714851.i | 0.425854 | + | 0.882533i | ||||
\(901\) | −234386. | − | 405968.i | −0.288723 | − | 0.500084i | ||||
\(902\) | 76757.2 | − | 84887.8i | 0.0943422 | − | 0.104335i | ||||
\(903\) | 40336.2 | + | 110823.i | 0.0494674 | + | 0.135911i | ||||
\(904\) | 325591. | + | 743885.i | 0.398415 | + | 0.910267i | ||||
\(905\) | −44903.4 | + | 77775.0i | −0.0548255 | + | 0.0949605i | ||||
\(906\) | −50946.6 | + | 16435.2i | −0.0620667 | + | 0.0200225i | ||||
\(907\) | 197748. | + | 235667.i | 0.240380 | + | 0.286474i | 0.872724 | − | 0.488214i | \(-0.162351\pi\) |
−0.632344 | + | 0.774688i | \(0.717907\pi\) | |||||||
\(908\) | 18143.2 | + | 64292.3i | 0.0220061 | + | 0.0779807i | ||||
\(909\) | −126469. | − | 717243.i | −0.153058 | − | 0.868037i | ||||
\(910\) | −56783.6 | + | 7858.68i | −0.0685710 | + | 0.00949001i | ||||
\(911\) | − | 1.20690e6i | − | 1.45424i | −0.686510 | − | 0.727120i | \(-0.740858\pi\) | ||
0.686510 | − | 0.727120i | \(-0.259142\pi\) | |||||||
\(912\) | 98673.5 | + | 10943.1i | 0.118634 | + | 0.0131568i | ||||
\(913\) | −256960. | −0.308265 | ||||||||
\(914\) | 213570. | + | 1.54317e6i | 0.255651 | + | 1.84723i | ||||
\(915\) | −1794.14 | + | 316.355i | −0.00214296 | + | 0.000377861i | ||||
\(916\) | −979276. | + | 276351.i | −1.16712 | + | 0.329359i | ||||
\(917\) | −449947. | + | 377550.i | −0.535085 | + | 0.448990i | ||||
\(918\) | −63314.7 | − | 196266.i | −0.0751310 | − | 0.232895i | ||||
\(919\) | 603764. | + | 348583.i | 0.714885 | + | 0.412739i | 0.812867 | − | 0.582449i | \(-0.197906\pi\) |
−0.0979823 | + | 0.995188i | \(0.531239\pi\) | |||||||
\(920\) | 74006.6 | − | 32392.0i | 0.0874370 | − | 0.0382703i | ||||
\(921\) | −109534. | + | 39867.1i | −0.129131 | + | 0.0469997i | ||||
\(922\) | 210254. | + | 190115.i | 0.247333 | + | 0.223643i | ||||
\(923\) | −770415. | + | 444799.i | −0.904318 | + | 0.522108i | ||||
\(924\) | −16427.3 | + | 7926.75i | −0.0192407 | + | 0.00928434i | ||||
\(925\) | −21424.0 | + | 121501.i | −0.0250390 | + | 0.142003i | ||||
\(926\) | 251760. | − | 619375.i | 0.293606 | − | 0.722323i | ||||
\(927\) | 929189. | − | 1.10736e6i | 1.08130 | − | 1.28864i | ||||
\(928\) | 1.14278e6 | + | 675902.i | 1.32698 | + | 0.784852i | ||||
\(929\) | −568742. | − | 207005.i | −0.658998 | − | 0.239856i | −0.00919416 | − | 0.999958i | \(-0.502927\pi\) |
−0.649804 | + | 0.760102i | \(0.725149\pi\) | |||||||
\(930\) | 4296.74 | + | 8122.15i | 0.00496790 | + | 0.00939086i | ||||
\(931\) | 161163. | − | 500572.i | 0.185937 | − | 0.577520i | ||||
\(932\) | −77779.9 | + | 114274.i | −0.0895438 | + | 0.131557i | ||||
\(933\) | 128268. | + | 46685.7i | 0.147351 | + | 0.0536315i | ||||
\(934\) | −241382. | − | 310298.i | −0.276701 | − | 0.355701i | ||||
\(935\) | 12752.3 | − | 15197.6i | 0.0145870 | − | 0.0173841i | ||||
\(936\) | 1.03053e6 | − | 685680.i | 1.17627 | − | 0.782654i | ||||
\(937\) | −193611. | + | 1.09802e6i | −0.220521 | + | 1.25064i | 0.650543 | + | 0.759469i | \(0.274541\pi\) |
−0.871064 | + | 0.491169i | \(0.836570\pi\) | |||||||
\(938\) | −453082. | − | 16776.1i | −0.514958 | − | 0.0190671i | ||||
\(939\) | −123084. | + | 71062.6i | −0.139595 | + | 0.0805953i | ||||
\(940\) | −15105.4 | − | 3833.77i | −0.0170953 | − | 0.00433880i | ||||
\(941\) | 111679. | − | 40648.0i | 0.126123 | − | 0.0459050i | −0.278188 | − | 0.960527i | \(-0.589734\pi\) |
0.404311 | + | 0.914622i | \(0.367511\pi\) | |||||||
\(942\) | 110312. | + | 69253.6i | 0.124314 | + | 0.0780442i | ||||
\(943\) | −470393. | − | 271581.i | −0.528978 | − | 0.305405i | ||||
\(944\) | −65605.2 | − | 321942.i | −0.0736197 | − | 0.361271i | ||||
\(945\) | 7831.38 | − | 6571.31i | 0.00876950 | − | 0.00735848i | ||||
\(946\) | 103619. | − | 482497.i | 0.115786 | − | 0.539153i | ||||
\(947\) | −703354. | + | 124020.i | −0.784285 | + | 0.138291i | −0.551430 | − | 0.834221i | \(-0.685918\pi\) |
−0.232855 | + | 0.972512i | \(0.574807\pi\) | |||||||
\(948\) | 62045.7 | − | 44681.3i | 0.0690391 | − | 0.0497175i | ||||
\(949\) | −437515. | −0.485803 | ||||||||
\(950\) | 577072. | + | 686921.i | 0.639415 | + | 0.761131i | ||||
\(951\) | − | 99308.7i | − | 0.109806i | ||||||
\(952\) | −260561. | + | 525785.i | −0.287499 | + | 0.580142i | ||||
\(953\) | 19007.8 | + | 107798.i | 0.0209288 | + | 0.118693i | 0.993482 | − | 0.113986i | \(-0.0363619\pi\) |
−0.972554 | + | 0.232679i | \(0.925251\pi\) | |||||||
\(954\) | −105357. | + | 490590.i | −0.115762 | + | 0.539042i | ||||
\(955\) | 52899.7 | + | 63043.4i | 0.0580025 | + | 0.0691246i | ||||
\(956\) | 808807. | − | 830525.i | 0.884971 | − | 0.908734i | ||||
\(957\) | 24050.1 | − | 41656.0i | 0.0262599 | − | 0.0454835i | ||||
\(958\) | −1.34914e6 | − | 846989.i | −1.47003 | − | 0.922883i | ||||
\(959\) | 218297. | + | 599765.i | 0.237361 | + | 0.652144i | ||||
\(960\) | 1073.12 | + | 8403.73i | 0.00116441 | + | 0.00911863i | ||||
\(961\) | 154984. | + | 268440.i | 0.167819 | + | 0.290670i | ||||
\(962\) | 192270. | + | 7119.11i | 0.207760 | + | 0.00769264i | ||||
\(963\) | −273133. | − | 48160.6i | −0.294524 | − | 0.0519326i | ||||
\(964\) | 77975.4 | + | 773155.i | 0.0839081 | + | 0.831980i | ||||
\(965\) | 55136.5 | + | 46265.0i | 0.0592086 | + | 0.0496819i | ||||
\(966\) | 53152.4 | + | 68327.7i | 0.0569599 | + | 0.0732222i | ||||
\(967\) | −350816. | + | 963859.i | −0.375168 | + | 1.03077i | 0.598165 | + | 0.801373i | \(0.295897\pi\) |
−0.973334 | + | 0.229394i | \(0.926326\pi\) | |||||||
\(968\) | −855400. | − | 95366.3i | −0.912891 | − | 0.101776i | ||||
\(969\) | −61581.1 | − | 97965.0i | −0.0655843 | − | 0.104333i | ||||
\(970\) | −7387.07 | − | 13963.8i | −0.00785106 | − | 0.0148409i | ||||
\(971\) | 190713. | − | 523978.i | 0.202274 | − | 0.555744i | −0.796532 | − | 0.604597i | \(-0.793334\pi\) |
0.998806 | + | 0.0488527i | \(0.0155565\pi\) | |||||||
\(972\) | −136274. | + | 302644.i | −0.144238 | + | 0.320331i | ||||
\(973\) | 577569. | + | 484638.i | 0.610068 | + | 0.511908i | ||||
\(974\) | −264343. | + | 650332.i | −0.278644 | + | 0.685515i | ||||
\(975\) | −159211. | − | 28073.2i | −0.167480 | − | 0.0295313i | ||||
\(976\) | −223020. | − | 33258.9i | −0.234123 | − | 0.0349147i | ||||
\(977\) | 317969. | + | 550739.i | 0.333116 | + | 0.576974i | 0.983121 | − | 0.182956i | \(-0.0585665\pi\) |
−0.650005 | + | 0.759930i | \(0.725233\pi\) | |||||||
\(978\) | 2960.22 | + | 2676.69i | 0.00309490 | + | 0.00279847i | ||||
\(979\) | −4180.21 | − | 11485.0i | −0.00436147 | − | 0.0119830i | ||||
\(980\) | 44753.0 | + | 3318.64i | 0.0465983 | + | 0.00345548i | ||||
\(981\) | −807350. | + | 1.39837e6i | −0.838926 | + | 1.45306i | ||||
\(982\) | 360109. | + | 1.11628e6i | 0.373432 | + | 1.15758i | ||||
\(983\) | −689336. | − | 821518.i | −0.713384 | − | 0.850178i | 0.280586 | − | 0.959829i | \(-0.409471\pi\) |
−0.993970 | + | 0.109651i | \(0.965027\pi\) | |||||||
\(984\) | 41223.7 | − | 39309.6i | 0.0425752 | − | 0.0405984i | ||||
\(985\) | 3614.58 | + | 20499.3i | 0.00372551 | + | 0.0211284i | ||||
\(986\) | −212144. | − | 1.53287e6i | −0.218211 | − | 1.57670i | ||||
\(987\) | − | 16699.8i | − | 0.0171426i | ||||||
\(988\) | 937755. | − | 1.03829e6i | 0.960672 | − | 1.06367i | ||||
\(989\) | −2.34218e6 | −2.39457 | ||||||||
\(990\) | −21035.4 | + | 2911.23i | −0.0214625 | + | 0.00297034i | ||||
\(991\) | 1.05166e6 | − | 185436.i | 1.07085 | − | 0.188819i | 0.389682 | − | 0.920949i | \(-0.372585\pi\) |
0.681165 | + | 0.732130i | \(0.261474\pi\) | |||||||
\(992\) | 185699. | + | 1.12202e6i | 0.188706 | + | 1.14019i | ||||
\(993\) | −39853.1 | + | 33440.7i | −0.0404169 | + | 0.0339138i | ||||
\(994\) | −429625. | + | 138595.i | −0.434827 | + | 0.140274i | ||||
\(995\) | −30446.6 | − | 17578.3i | −0.0307534 | − | 0.0177555i | ||||
\(996\) | −127545. | − | 9458.05i | −0.128571 | − | 0.00953417i | ||||
\(997\) | 347211. | − | 126374.i | 0.349303 | − | 0.127136i | −0.161409 | − | 0.986888i | \(-0.551604\pi\) |
0.510712 | + | 0.859752i | \(0.329382\pi\) | |||||||
\(998\) | 719142. | − | 795318.i | 0.722027 | − | 0.798509i | ||||
\(999\) | −29715.4 | + | 17156.2i | −0.0297749 | + | 0.0171906i |
(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 | 76.5.l.a.23.19 | yes | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.11 | ✓ | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.11 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.19 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.11 | ✓ | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.23.19 | yes | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.43.11 | yes | 228 | 19.5 | even | 9 | inner | |
76.5.l.a.43.19 | yes | 228 | 76.43 | odd | 18 | inner |