Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,4,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (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: | \(1.59305157015\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 16.2 | ||
Character | \(\chi\) | \(=\) | 27.16 |
Dual form | 27.4.e.a.22.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.18975 | − | 2.67652i | −1.12775 | − | 0.946291i | −0.128776 | − | 0.991674i | \(-0.541105\pi\) |
−0.998970 | + | 0.0453825i | \(0.985549\pi\) | |||||||
\(3\) | 3.68036 | − | 3.66810i | 0.708285 | − | 0.705927i | ||||
\(4\) | 1.62157 | + | 9.19635i | 0.202696 | + | 1.14954i | ||||
\(5\) | −14.0025 | − | 5.09651i | −1.25243 | − | 0.455845i | −0.371205 | − | 0.928551i | \(-0.621055\pi\) |
−0.881220 | + | 0.472706i | \(0.843277\pi\) | |||||||
\(6\) | −21.5571 | + | 1.84978i | −1.46678 | + | 0.125862i | ||||
\(7\) | 0.758337 | − | 4.30074i | 0.0409463 | − | 0.232218i | −0.957466 | − | 0.288546i | \(-0.906828\pi\) |
0.998412 | + | 0.0563279i | \(0.0179392\pi\) | |||||||
\(8\) | 2.78612 | − | 4.82571i | 0.123130 | − | 0.213268i | ||||
\(9\) | 0.0900554 | − | 26.9998i | 0.00333539 | − | 0.999994i | ||||
\(10\) | 31.0237 | + | 53.7346i | 0.981055 | + | 1.69924i | ||||
\(11\) | 60.8046 | − | 22.1311i | 1.66666 | − | 0.606615i | 0.675273 | − | 0.737568i | \(-0.264026\pi\) |
0.991389 | + | 0.130953i | \(0.0418037\pi\) | |||||||
\(12\) | 39.7011 | + | 27.8978i | 0.955060 | + | 0.671117i | ||||
\(13\) | −2.75952 | + | 2.31552i | −0.0588734 | + | 0.0494007i | −0.671750 | − | 0.740778i | \(-0.734457\pi\) |
0.612876 | + | 0.790179i | \(0.290012\pi\) | |||||||
\(14\) | −13.9299 | + | 11.6886i | −0.265923 | + | 0.223136i | ||||
\(15\) | −70.2289 | + | 32.6058i | −1.20887 | + | 0.561252i | ||||
\(16\) | 48.3974 | − | 17.6152i | 0.756209 | − | 0.275237i | ||||
\(17\) | −18.0500 | − | 31.2635i | −0.257516 | − | 0.446030i | 0.708060 | − | 0.706152i | \(-0.249571\pi\) |
−0.965576 | + | 0.260122i | \(0.916237\pi\) | |||||||
\(18\) | −72.5528 | + | 85.8817i | −0.950047 | + | 1.12458i | ||||
\(19\) | 37.4017 | − | 64.7817i | 0.451608 | − | 0.782207i | −0.546878 | − | 0.837212i | \(-0.684184\pi\) |
0.998486 | + | 0.0550047i | \(0.0175174\pi\) | |||||||
\(20\) | 24.1633 | − | 137.037i | 0.270153 | − | 1.53212i | ||||
\(21\) | −12.9846 | − | 18.6099i | −0.134927 | − | 0.193382i | ||||
\(22\) | −253.185 | − | 92.1519i | −2.45360 | − | 0.893039i | ||||
\(23\) | 36.4054 | + | 206.466i | 0.330046 | + | 1.87178i | 0.471539 | + | 0.881845i | \(0.343699\pi\) |
−0.141493 | + | 0.989939i | \(0.545190\pi\) | |||||||
\(24\) | −7.44726 | − | 27.9801i | −0.0633402 | − | 0.237976i | ||||
\(25\) | 74.3412 | + | 62.3796i | 0.594729 | + | 0.499037i | ||||
\(26\) | 14.9997 | 0.113142 | ||||||||
\(27\) | −98.7068 | − | 99.6994i | −0.703560 | − | 0.710636i | ||||
\(28\) | 40.7808 | 0.275245 | ||||||||
\(29\) | 68.7272 | + | 57.6690i | 0.440080 | + | 0.369271i | 0.835739 | − | 0.549126i | \(-0.185039\pi\) |
−0.395659 | + | 0.918397i | \(0.629484\pi\) | |||||||
\(30\) | 311.282 | + | 83.9644i | 1.89440 | + | 0.510991i | ||||
\(31\) | −4.29738 | − | 24.3717i | −0.0248978 | − | 0.141203i | 0.969825 | − | 0.243803i | \(-0.0783949\pi\) |
−0.994723 | + | 0.102600i | \(0.967284\pi\) | |||||||
\(32\) | −243.412 | − | 88.5948i | −1.34468 | − | 0.489422i | ||||
\(33\) | 142.604 | − | 304.488i | 0.752246 | − | 1.60620i | ||||
\(34\) | −26.1023 | + | 148.034i | −0.131662 | + | 0.746693i | ||||
\(35\) | −32.5374 | + | 56.3564i | −0.157138 | + | 0.272171i | ||||
\(36\) | 248.446 | − | 42.9538i | 1.15021 | − | 0.198860i | ||||
\(37\) | 38.9926 | + | 67.5371i | 0.173252 | + | 0.300082i | 0.939555 | − | 0.342398i | \(-0.111239\pi\) |
−0.766303 | + | 0.642480i | \(0.777906\pi\) | |||||||
\(38\) | −292.691 | + | 106.531i | −1.24949 | + | 0.454779i | ||||
\(39\) | −1.66249 | + | 18.6441i | −0.00682592 | + | 0.0765500i | ||||
\(40\) | −63.6070 | + | 53.3726i | −0.251429 | + | 0.210974i | ||||
\(41\) | −91.8433 | + | 77.0657i | −0.349842 | + | 0.293552i | −0.800727 | − | 0.599030i | \(-0.795553\pi\) |
0.450885 | + | 0.892582i | \(0.351109\pi\) | |||||||
\(42\) | −8.39213 | + | 94.1145i | −0.0308317 | + | 0.345766i | ||||
\(43\) | −294.934 | + | 107.347i | −1.04598 | + | 0.380705i | −0.807143 | − | 0.590355i | \(-0.798988\pi\) |
−0.238835 | + | 0.971060i | \(0.576765\pi\) | |||||||
\(44\) | 302.124 | + | 523.294i | 1.03516 | + | 1.79294i | ||||
\(45\) | −138.866 | + | 377.607i | −0.460020 | + | 1.25090i | ||||
\(46\) | 436.484 | − | 756.013i | 1.39904 | − | 2.42322i | ||||
\(47\) | 50.7235 | − | 287.667i | 0.157421 | − | 0.892779i | −0.799118 | − | 0.601174i | \(-0.794700\pi\) |
0.956539 | − | 0.291604i | \(-0.0941891\pi\) | |||||||
\(48\) | 113.505 | − | 242.357i | 0.341314 | − | 0.728774i | ||||
\(49\) | 304.393 | + | 110.790i | 0.887444 | + | 0.323003i | ||||
\(50\) | −70.1694 | − | 397.950i | −0.198469 | − | 1.12557i | ||||
\(51\) | −181.108 | − | 48.8516i | −0.497259 | − | 0.134129i | ||||
\(52\) | −25.7690 | − | 21.6228i | −0.0687216 | − | 0.0576643i | ||||
\(53\) | 512.684 | 1.32873 | 0.664364 | − | 0.747409i | \(-0.268702\pi\) | ||||
0.664364 | + | 0.747409i | \(0.268702\pi\) | |||||||
\(54\) | 48.0026 | + | 582.206i | 0.120969 | + | 1.46719i | ||||
\(55\) | −964.210 | −2.36389 | ||||||||
\(56\) | −18.6413 | − | 15.6419i | −0.0444830 | − | 0.0373257i | ||||
\(57\) | −99.9741 | − | 375.613i | −0.232314 | − | 0.872828i | ||||
\(58\) | −64.8705 | − | 367.899i | −0.146861 | − | 0.832888i | ||||
\(59\) | 3.32270 | + | 1.20936i | 0.00733185 | + | 0.00266857i | 0.345683 | − | 0.938351i | \(-0.387647\pi\) |
−0.338352 | + | 0.941020i | \(0.609869\pi\) | |||||||
\(60\) | −413.735 | − | 592.977i | −0.890216 | − | 1.27588i | ||||
\(61\) | −62.7127 | + | 355.661i | −0.131632 | + | 0.746521i | 0.845514 | + | 0.533953i | \(0.179294\pi\) |
−0.977146 | + | 0.212568i | \(0.931817\pi\) | |||||||
\(62\) | −51.5236 | + | 89.2414i | −0.105540 | + | 0.182801i | ||||
\(63\) | −116.051 | − | 20.8623i | −0.232080 | − | 0.0417207i | ||||
\(64\) | 333.285 | + | 577.266i | 0.650946 | + | 1.12747i | ||||
\(65\) | 50.4414 | − | 18.3592i | 0.0962536 | − | 0.0350334i | ||||
\(66\) | −1269.84 | + | 589.558i | −2.36827 | + | 1.09954i | ||||
\(67\) | 144.592 | − | 121.327i | 0.263652 | − | 0.221231i | −0.501372 | − | 0.865232i | \(-0.667171\pi\) |
0.765025 | + | 0.644001i | \(0.222727\pi\) | |||||||
\(68\) | 258.241 | − | 216.690i | 0.460534 | − | 0.386434i | ||||
\(69\) | 891.322 | + | 626.328i | 1.55511 | + | 1.09277i | ||||
\(70\) | 254.625 | − | 92.6759i | 0.434764 | − | 0.158241i | ||||
\(71\) | −243.711 | − | 422.120i | −0.407369 | − | 0.705583i | 0.587225 | − | 0.809423i | \(-0.300220\pi\) |
−0.994594 | + | 0.103840i | \(0.966887\pi\) | |||||||
\(72\) | −130.042 | − | 75.6595i | −0.212856 | − | 0.123841i | ||||
\(73\) | −24.5604 | + | 42.5399i | −0.0393778 | + | 0.0682044i | −0.885043 | − | 0.465510i | \(-0.845871\pi\) |
0.845665 | + | 0.533714i | \(0.179204\pi\) | |||||||
\(74\) | 56.3877 | − | 319.790i | 0.0885802 | − | 0.502363i | ||||
\(75\) | 502.417 | − | 43.1116i | 0.773521 | − | 0.0663747i | ||||
\(76\) | 656.405 | + | 238.912i | 0.990721 | + | 0.360593i | ||||
\(77\) | −49.0696 | − | 278.288i | −0.0726234 | − | 0.411868i | ||||
\(78\) | 55.2042 | − | 55.0204i | 0.0801365 | − | 0.0798697i | ||||
\(79\) | 442.879 | + | 371.619i | 0.630731 | + | 0.529246i | 0.901156 | − | 0.433495i | \(-0.142720\pi\) |
−0.270425 | + | 0.962741i | \(0.587164\pi\) | |||||||
\(80\) | −767.462 | −1.07256 | ||||||||
\(81\) | −728.984 | − | 4.86296i | −0.999978 | − | 0.00667073i | ||||
\(82\) | 499.225 | 0.672319 | ||||||||
\(83\) | 407.752 | + | 342.145i | 0.539236 | + | 0.452473i | 0.871277 | − | 0.490792i | \(-0.163293\pi\) |
−0.332040 | + | 0.943265i | \(0.607737\pi\) | |||||||
\(84\) | 150.088 | − | 149.588i | 0.194952 | − | 0.194303i | ||||
\(85\) | 93.4110 | + | 529.760i | 0.119198 | + | 0.676007i | ||||
\(86\) | 1228.08 | + | 446.985i | 1.53986 | + | 0.560461i | ||||
\(87\) | 464.476 | − | 39.8560i | 0.572380 | − | 0.0491151i | ||||
\(88\) | 62.6111 | − | 355.085i | 0.0758450 | − | 0.430138i | ||||
\(89\) | 358.549 | − | 621.025i | 0.427035 | − | 0.739646i | −0.569573 | − | 0.821941i | \(-0.692892\pi\) |
0.996608 | + | 0.0822947i | \(0.0262249\pi\) | |||||||
\(90\) | 1453.62 | − | 832.795i | 1.70250 | − | 0.975382i | ||||
\(91\) | 7.86579 | + | 13.6239i | 0.00906108 | + | 0.0156943i | ||||
\(92\) | −1839.70 | + | 669.595i | −2.08480 | + | 0.758805i | ||||
\(93\) | −105.214 | − | 73.9332i | −0.117313 | − | 0.0824356i | ||||
\(94\) | −931.741 | + | 781.824i | −1.02236 | + | 0.857861i | ||||
\(95\) | −853.879 | + | 716.490i | −0.922170 | + | 0.773793i | ||||
\(96\) | −1220.82 | + | 566.800i | −1.29791 | + | 0.602592i | ||||
\(97\) | 312.330 | − | 113.679i | 0.326931 | − | 0.118993i | −0.173340 | − | 0.984862i | \(-0.555456\pi\) |
0.500271 | + | 0.865869i | \(0.333234\pi\) | |||||||
\(98\) | −674.406 | − | 1168.11i | −0.695156 | − | 1.20405i | ||||
\(99\) | −592.060 | − | 1643.71i | −0.601053 | − | 1.66868i | ||||
\(100\) | −453.116 | + | 784.820i | −0.453116 | + | 0.784820i | ||||
\(101\) | 109.444 | − | 620.689i | 0.107823 | − | 0.611494i | −0.882232 | − | 0.470814i | \(-0.843960\pi\) |
0.990055 | − | 0.140680i | \(-0.0449288\pi\) | |||||||
\(102\) | 446.937 | + | 640.563i | 0.433856 | + | 0.621815i | ||||
\(103\) | −1013.18 | − | 368.766i | −0.969235 | − | 0.352773i | −0.191589 | − | 0.981475i | \(-0.561364\pi\) |
−0.777646 | + | 0.628703i | \(0.783586\pi\) | |||||||
\(104\) | 3.48563 | + | 19.7680i | 0.00328648 | + | 0.0186385i | ||||
\(105\) | 86.9719 | + | 326.762i | 0.0808342 | + | 0.303702i | ||||
\(106\) | −1635.33 | − | 1372.21i | −1.49847 | − | 1.25736i | ||||
\(107\) | −541.712 | −0.489432 | −0.244716 | − | 0.969595i | \(-0.578695\pi\) | ||||
−0.244716 | + | 0.969595i | \(0.578695\pi\) | |||||||
\(108\) | 756.812 | − | 1069.41i | 0.674298 | − | 0.952816i | ||||
\(109\) | −401.921 | −0.353184 | −0.176592 | − | 0.984284i | \(-0.556507\pi\) | ||||
−0.176592 | + | 0.984284i | \(0.556507\pi\) | |||||||
\(110\) | 3075.59 | + | 2580.72i | 2.66587 | + | 2.23693i | ||||
\(111\) | 391.240 | + | 105.532i | 0.334548 | + | 0.0902401i | ||||
\(112\) | −39.0569 | − | 221.503i | −0.0329512 | − | 0.186875i | ||||
\(113\) | 24.2176 | + | 8.81448i | 0.0201610 | + | 0.00733802i | 0.352081 | − | 0.935970i | \(-0.385474\pi\) |
−0.331920 | + | 0.943308i | \(0.607696\pi\) | |||||||
\(114\) | −686.442 | + | 1465.69i | −0.563958 | + | 1.20416i | ||||
\(115\) | 542.484 | − | 3076.58i | 0.439886 | − | 2.49472i | ||||
\(116\) | −418.899 | + | 725.554i | −0.335291 | + | 0.580741i | ||||
\(117\) | 62.2701 | + | 74.7153i | 0.0492040 | + | 0.0590379i | ||||
\(118\) | −7.36170 | − | 12.7508i | −0.00574321 | − | 0.00994754i | ||||
\(119\) | −148.144 | + | 53.9201i | −0.114121 | + | 0.0415365i | ||||
\(120\) | −38.3203 | + | 429.747i | −0.0291512 | + | 0.326920i | ||||
\(121\) | 2187.81 | − | 1835.79i | 1.64373 | − | 1.37926i | ||||
\(122\) | 1151.97 | − | 966.618i | 0.854873 | − | 0.717324i | ||||
\(123\) | −55.3314 | + | 620.520i | −0.0405615 | + | 0.454881i | ||||
\(124\) | 217.162 | − | 79.0405i | 0.157272 | − | 0.0572423i | ||||
\(125\) | 208.278 | + | 360.748i | 0.149031 | + | 0.258130i | ||||
\(126\) | 314.335 | + | 377.158i | 0.222248 | + | 0.266666i | ||||
\(127\) | −956.295 | + | 1656.35i | −0.668169 | + | 1.15730i | 0.310246 | + | 0.950656i | \(0.399588\pi\) |
−0.978416 | + | 0.206647i | \(0.933745\pi\) | |||||||
\(128\) | 122.121 | − | 692.584i | 0.0843289 | − | 0.478253i | ||||
\(129\) | −691.703 | + | 1476.93i | −0.472101 | + | 1.00803i | ||||
\(130\) | −210.034 | − | 76.4461i | −0.141701 | − | 0.0515751i | ||||
\(131\) | 404.002 | + | 2291.21i | 0.269449 | + | 1.52812i | 0.756059 | + | 0.654503i | \(0.227122\pi\) |
−0.486610 | + | 0.873619i | \(0.661767\pi\) | |||||||
\(132\) | 3031.42 | + | 817.687i | 1.99887 | + | 0.539170i | ||||
\(133\) | −250.246 | − | 209.982i | −0.163151 | − | 0.136900i | ||||
\(134\) | −785.945 | −0.506681 | ||||||||
\(135\) | 874.027 | + | 1899.10i | 0.557216 | + | 1.21073i | ||||
\(136\) | −201.158 | −0.126832 | ||||||||
\(137\) | −1407.62 | − | 1181.13i | −0.877816 | − | 0.736575i | 0.0879130 | − | 0.996128i | \(-0.471980\pi\) |
−0.965729 | + | 0.259553i | \(0.916425\pi\) | |||||||
\(138\) | −1166.71 | − | 4383.46i | −0.719691 | − | 2.70395i | ||||
\(139\) | 402.502 | + | 2282.70i | 0.245610 | + | 1.39292i | 0.819072 | + | 0.573691i | \(0.194489\pi\) |
−0.573462 | + | 0.819232i | \(0.694400\pi\) | |||||||
\(140\) | −571.035 | − | 207.840i | −0.344724 | − | 0.125469i | ||||
\(141\) | −868.513 | − | 1244.78i | −0.518737 | − | 0.743469i | ||||
\(142\) | −352.434 | + | 1998.75i | −0.208279 | + | 1.18121i | ||||
\(143\) | −116.547 | + | 201.865i | −0.0681548 | + | 0.118048i | ||||
\(144\) | −471.249 | − | 1308.31i | −0.272714 | − | 0.757123i | ||||
\(145\) | −668.445 | − | 1157.78i | −0.382837 | − | 0.663093i | ||||
\(146\) | 192.200 | − | 69.9552i | 0.108949 | − | 0.0396543i | ||||
\(147\) | 1526.67 | − | 708.798i | 0.856580 | − | 0.397692i | ||||
\(148\) | −557.866 | + | 468.105i | −0.309840 | + | 0.259987i | ||||
\(149\) | 50.2838 | − | 42.1931i | 0.0276470 | − | 0.0231986i | −0.628859 | − | 0.777519i | \(-0.716478\pi\) |
0.656506 | + | 0.754320i | \(0.272033\pi\) | |||||||
\(150\) | −1717.97 | − | 1207.21i | −0.935145 | − | 0.657123i | ||||
\(151\) | 121.030 | − | 44.0512i | 0.0652268 | − | 0.0237406i | −0.309201 | − | 0.950997i | \(-0.600061\pi\) |
0.374428 | + | 0.927256i | \(0.377839\pi\) | |||||||
\(152\) | −208.412 | − | 360.979i | −0.111213 | − | 0.192627i | ||||
\(153\) | −845.735 | + | 484.531i | −0.446886 | + | 0.256026i | ||||
\(154\) | −588.322 | + | 1019.00i | −0.307846 | + | 0.533205i | ||||
\(155\) | −64.0361 | + | 363.167i | −0.0331839 | + | 0.188195i | ||||
\(156\) | −174.154 | + | 14.9439i | −0.0893812 | + | 0.00766967i | ||||
\(157\) | 1399.23 | + | 509.277i | 0.711278 | + | 0.258884i | 0.672218 | − | 0.740353i | \(-0.265342\pi\) |
0.0390593 | + | 0.999237i | \(0.487564\pi\) | |||||||
\(158\) | −418.026 | − | 2370.74i | −0.210483 | − | 1.19371i | ||||
\(159\) | 1886.86 | − | 1880.58i | 0.941119 | − | 0.937985i | ||||
\(160\) | 2956.87 | + | 2481.10i | 1.46100 | + | 1.22593i | ||||
\(161\) | 915.563 | 0.448177 | ||||||||
\(162\) | 2312.26 | + | 1966.65i | 1.12141 | + | 0.953793i | ||||
\(163\) | 2721.50 | 1.30776 | 0.653879 | − | 0.756599i | \(-0.273141\pi\) | ||||
0.653879 | + | 0.756599i | \(0.273141\pi\) | |||||||
\(164\) | −857.653 | − | 719.657i | −0.408363 | − | 0.342657i | ||||
\(165\) | −3548.64 | + | 3536.82i | −1.67431 | + | 1.66873i | ||||
\(166\) | −384.871 | − | 2182.71i | −0.179950 | − | 1.02055i | ||||
\(167\) | −1447.94 | − | 527.007i | −0.670928 | − | 0.244198i | −0.0159808 | − | 0.999872i | \(-0.505087\pi\) |
−0.654947 | + | 0.755674i | \(0.727309\pi\) | |||||||
\(168\) | −125.983 | + | 10.8104i | −0.0578558 | + | 0.00496452i | ||||
\(169\) | −379.252 | + | 2150.84i | −0.172623 | + | 0.978991i | ||||
\(170\) | 1119.95 | − | 1939.82i | 0.505274 | − | 0.875160i | ||||
\(171\) | −1745.73 | − | 1015.67i | −0.780697 | − | 0.454214i | ||||
\(172\) | −1465.46 | − | 2538.25i | −0.649652 | − | 1.12523i | ||||
\(173\) | −3152.95 | + | 1147.58i | −1.38563 | + | 0.504329i | −0.923881 | − | 0.382680i | \(-0.875001\pi\) |
−0.461752 | + | 0.887009i | \(0.652779\pi\) | |||||||
\(174\) | −1588.24 | − | 1116.05i | −0.691977 | − | 0.486249i | ||||
\(175\) | 324.654 | − | 272.417i | 0.140238 | − | 0.117673i | ||||
\(176\) | 2552.94 | − | 2142.17i | 1.09338 | − | 0.917455i | ||||
\(177\) | 16.6648 | − | 7.73712i | 0.00707686 | − | 0.00328564i | ||||
\(178\) | −2805.86 | + | 1021.25i | −1.18151 | + | 0.430033i | ||||
\(179\) | 990.380 | + | 1715.39i | 0.413545 | + | 0.716280i | 0.995274 | − | 0.0971019i | \(-0.0309573\pi\) |
−0.581730 | + | 0.813382i | \(0.697624\pi\) | |||||||
\(180\) | −3697.79 | − | 664.745i | −1.53121 | − | 0.275262i | ||||
\(181\) | 946.317 | − | 1639.07i | 0.388614 | − | 0.673100i | −0.603649 | − | 0.797250i | \(-0.706287\pi\) |
0.992263 | + | 0.124150i | \(0.0396205\pi\) | |||||||
\(182\) | 11.3748 | − | 64.5098i | 0.00463274 | − | 0.0262736i | ||||
\(183\) | 1073.80 | + | 1539.00i | 0.433756 | + | 0.621672i | ||||
\(184\) | 1097.77 | + | 399.556i | 0.439831 | + | 0.160085i | ||||
\(185\) | −201.792 | − | 1144.42i | −0.0801946 | − | 0.454806i | ||||
\(186\) | 137.722 | + | 517.434i | 0.0542916 | + | 0.203979i | ||||
\(187\) | −1789.42 | − | 1501.50i | −0.699760 | − | 0.587168i | ||||
\(188\) | 2727.74 | 1.05820 | ||||||||
\(189\) | −503.635 | + | 348.907i | −0.193831 | + | 0.134282i | ||||
\(190\) | 4641.36 | 1.77221 | ||||||||
\(191\) | 521.099 | + | 437.254i | 0.197411 | + | 0.165647i | 0.736135 | − | 0.676835i | \(-0.236649\pi\) |
−0.538724 | + | 0.842482i | \(0.681093\pi\) | |||||||
\(192\) | 3344.08 | + | 902.022i | 1.25697 | + | 0.339051i | ||||
\(193\) | 409.470 | + | 2322.22i | 0.152717 | + | 0.866098i | 0.960844 | + | 0.277090i | \(0.0893702\pi\) |
−0.808127 | + | 0.589008i | \(0.799519\pi\) | |||||||
\(194\) | −1300.52 | − | 473.349i | −0.481297 | − | 0.175178i | ||||
\(195\) | 118.299 | − | 252.592i | 0.0434439 | − | 0.0927616i | ||||
\(196\) | −525.271 | + | 2978.96i | −0.191425 | + | 1.08563i | ||||
\(197\) | −738.044 | + | 1278.33i | −0.266921 | + | 0.462321i | −0.968065 | − | 0.250699i | \(-0.919340\pi\) |
0.701144 | + | 0.713020i | \(0.252673\pi\) | |||||||
\(198\) | −2510.89 | + | 6827.67i | −0.901218 | + | 2.45061i | ||||
\(199\) | −2103.44 | − | 3643.26i | −0.749289 | − | 1.29781i | −0.948164 | − | 0.317782i | \(-0.897062\pi\) |
0.198875 | − | 0.980025i | \(-0.436271\pi\) | |||||||
\(200\) | 508.149 | − | 184.951i | 0.179658 | − | 0.0653901i | ||||
\(201\) | 87.1099 | − | 976.904i | 0.0305685 | − | 0.342813i | ||||
\(202\) | −2010.38 | + | 1686.91i | −0.700248 | + | 0.587578i | ||||
\(203\) | 300.138 | − | 251.845i | 0.103771 | − | 0.0870743i | ||||
\(204\) | 155.578 | − | 1744.75i | 0.0533954 | − | 0.598808i | ||||
\(205\) | 1678.81 | − | 611.035i | 0.571965 | − | 0.208178i | ||||
\(206\) | 2244.77 | + | 3888.05i | 0.759225 | + | 1.31502i | ||||
\(207\) | 5577.82 | − | 964.348i | 1.87287 | − | 0.323801i | ||||
\(208\) | −92.7654 | + | 160.674i | −0.0309237 | + | 0.0535614i | ||||
\(209\) | 840.509 | − | 4766.76i | 0.278178 | − | 1.57763i | ||||
\(210\) | 597.166 | − | 1275.07i | 0.196230 | − | 0.418992i | ||||
\(211\) | −2436.30 | − | 886.742i | −0.794892 | − | 0.289317i | −0.0875237 | − | 0.996162i | \(-0.527895\pi\) |
−0.707368 | + | 0.706846i | \(0.750118\pi\) | |||||||
\(212\) | 831.351 | + | 4714.83i | 0.269328 | + | 1.52743i | ||||
\(213\) | −2445.32 | − | 659.595i | −0.786623 | − | 0.212182i | ||||
\(214\) | 1727.92 | + | 1449.90i | 0.551955 | + | 0.463145i | ||||
\(215\) | 4676.93 | 1.48355 | ||||||||
\(216\) | −756.129 | + | 198.555i | −0.238186 | + | 0.0625461i | ||||
\(217\) | −108.075 | −0.0338093 | ||||||||
\(218\) | 1282.03 | + | 1075.75i | 0.398302 | + | 0.334215i | ||||
\(219\) | 65.6496 | + | 246.652i | 0.0202566 | + | 0.0761060i | ||||
\(220\) | −1563.53 | − | 8867.21i | −0.479150 | − | 2.71740i | ||||
\(221\) | 122.200 | + | 44.4773i | 0.0371950 | + | 0.0135379i | ||||
\(222\) | −965.497 | − | 1383.78i | −0.291892 | − | 0.418348i | ||||
\(223\) | 473.790 | − | 2687.00i | 0.142275 | − | 0.806882i | −0.827240 | − | 0.561849i | \(-0.810090\pi\) |
0.969515 | − | 0.245033i | \(-0.0787988\pi\) | |||||||
\(224\) | −565.612 | + | 979.669i | −0.168712 | + | 0.292218i | ||||
\(225\) | 1690.94 | − | 2001.58i | 0.501018 | − | 0.593061i | ||||
\(226\) | −53.6559 | − | 92.9347i | −0.0157926 | − | 0.0273536i | ||||
\(227\) | 2868.71 | − | 1044.12i | 0.838779 | − | 0.305291i | 0.113322 | − | 0.993558i | \(-0.463851\pi\) |
0.725457 | + | 0.688268i | \(0.241629\pi\) | |||||||
\(228\) | 3292.16 | − | 1528.48i | 0.956265 | − | 0.443974i | ||||
\(229\) | −2748.21 | + | 2306.02i | −0.793042 | + | 0.665441i | −0.946496 | − | 0.322715i | \(-0.895405\pi\) |
0.153455 | + | 0.988156i | \(0.450960\pi\) | |||||||
\(230\) | −9964.91 | + | 8361.55i | −2.85681 | + | 2.39715i | ||||
\(231\) | −1201.38 | − | 844.206i | −0.342187 | − | 0.240453i | ||||
\(232\) | 469.776 | − | 170.984i | 0.132941 | − | 0.0483865i | ||||
\(233\) | −2364.17 | − | 4094.87i | −0.664730 | − | 1.15135i | −0.979358 | − | 0.202131i | \(-0.935213\pi\) |
0.314629 | − | 0.949215i | \(-0.398120\pi\) | |||||||
\(234\) | 1.35080 | − | 404.990i | 0.000377371 | − | 0.113141i | ||||
\(235\) | −2176.36 | + | 3769.56i | −0.604127 | + | 1.04638i | ||||
\(236\) | −5.73377 | + | 32.5178i | −0.00158151 | + | 0.00896919i | ||||
\(237\) | 2993.09 | − | 256.832i | 0.820346 | − | 0.0703926i | ||||
\(238\) | 616.860 | + | 224.519i | 0.168005 | + | 0.0611487i | ||||
\(239\) | −697.752 | − | 3957.15i | −0.188844 | − | 1.07099i | −0.920916 | − | 0.389762i | \(-0.872557\pi\) |
0.732071 | − | 0.681228i | \(-0.238554\pi\) | |||||||
\(240\) | −2824.53 | + | 2815.13i | −0.759679 | + | 0.757149i | ||||
\(241\) | −1238.89 | − | 1039.55i | −0.331136 | − | 0.277856i | 0.462026 | − | 0.886866i | \(-0.347123\pi\) |
−0.793163 | + | 0.609010i | \(0.791567\pi\) | |||||||
\(242\) | −11892.1 | −3.15889 | ||||||||
\(243\) | −2700.76 | + | 2656.09i | −0.712978 | + | 0.701186i | ||||
\(244\) | −3372.48 | −0.884840 | ||||||||
\(245\) | −3697.64 | − | 3102.68i | −0.964218 | − | 0.809075i | ||||
\(246\) | 1837.32 | − | 1831.21i | 0.476193 | − | 0.474608i | ||||
\(247\) | 46.7921 | + | 265.371i | 0.0120539 | + | 0.0683609i | ||||
\(248\) | −129.583 | − | 47.1645i | −0.0331797 | − | 0.0120764i | ||||
\(249\) | 2755.70 | − | 236.462i | 0.701346 | − | 0.0601814i | ||||
\(250\) | 301.193 | − | 1708.15i | 0.0761966 | − | 0.432132i | ||||
\(251\) | −3119.82 | + | 5403.69i | −0.784548 | + | 1.35888i | 0.144721 | + | 0.989473i | \(0.453772\pi\) |
−0.929269 | + | 0.369404i | \(0.879562\pi\) | |||||||
\(252\) | 3.67254 | − | 1101.08i | 0.000918047 | − | 0.275243i | ||||
\(253\) | 6782.92 | + | 11748.4i | 1.68553 | + | 2.91942i | ||||
\(254\) | 7483.59 | − | 2723.81i | 1.84867 | − | 0.672861i | ||||
\(255\) | 2287.00 | + | 1607.07i | 0.561637 | + | 0.394660i | ||||
\(256\) | 1841.72 | − | 1545.39i | 0.449640 | − | 0.377293i | ||||
\(257\) | −552.531 | + | 463.629i | −0.134109 | + | 0.112531i | −0.707375 | − | 0.706839i | \(-0.750121\pi\) |
0.573266 | + | 0.819369i | \(0.305676\pi\) | |||||||
\(258\) | 6159.37 | − | 2859.67i | 1.48630 | − | 0.690058i | ||||
\(259\) | 320.029 | − | 116.481i | 0.0767786 | − | 0.0279451i | ||||
\(260\) | 250.631 | + | 434.106i | 0.0597827 | + | 0.103547i | ||||
\(261\) | 1563.24 | − | 1850.43i | 0.370737 | − | 0.438846i | ||||
\(262\) | 4843.80 | − | 8389.70i | 1.14218 | − | 1.97831i | ||||
\(263\) | −859.604 | + | 4875.05i | −0.201542 | + | 1.14300i | 0.701248 | + | 0.712917i | \(0.252626\pi\) |
−0.902790 | + | 0.430082i | \(0.858485\pi\) | |||||||
\(264\) | −1072.06 | − | 1536.50i | −0.249926 | − | 0.358202i | ||||
\(265\) | −7178.88 | − | 2612.90i | −1.66413 | − | 0.605695i | ||||
\(266\) | 236.203 | + | 1339.58i | 0.0544457 | + | 0.308777i | ||||
\(267\) | −958.394 | − | 3600.79i | −0.219673 | − | 0.825335i | ||||
\(268\) | 1350.23 | + | 1132.98i | 0.307755 | + | 0.258237i | ||||
\(269\) | 6217.27 | 1.40920 | 0.704598 | − | 0.709607i | \(-0.251127\pi\) | ||||
0.704598 | + | 0.709607i | \(0.251127\pi\) | |||||||
\(270\) | 2295.06 | − | 8397.01i | 0.517307 | − | 1.89269i | ||||
\(271\) | −2888.86 | −0.647549 | −0.323774 | − | 0.946134i | \(-0.604952\pi\) | ||||
−0.323774 | + | 0.946134i | \(0.604952\pi\) | |||||||
\(272\) | −1424.28 | − | 1195.12i | −0.317500 | − | 0.266414i | ||||
\(273\) | 78.9229 | + | 21.2885i | 0.0174968 | + | 0.00471955i | ||||
\(274\) | 1328.63 | + | 7535.01i | 0.292939 | + | 1.66134i | ||||
\(275\) | 5900.81 | + | 2147.72i | 1.29394 | + | 0.470954i | ||||
\(276\) | −4314.60 | + | 9212.54i | −0.940972 | + | 2.00917i | ||||
\(277\) | 19.4613 | − | 110.370i | 0.00422136 | − | 0.0239405i | −0.982624 | − | 0.185606i | \(-0.940575\pi\) |
0.986846 | + | 0.161665i | \(0.0516864\pi\) | |||||||
\(278\) | 4825.81 | − | 8358.55i | 1.04113 | − | 1.80328i | ||||
\(279\) | −658.418 | + | 113.834i | −0.141285 | + | 0.0244267i | ||||
\(280\) | 181.306 | + | 314.032i | 0.0386969 | + | 0.0670250i | ||||
\(281\) | 1083.36 | − | 394.312i | 0.229993 | − | 0.0837107i | −0.224453 | − | 0.974485i | \(-0.572059\pi\) |
0.454446 | + | 0.890774i | \(0.349837\pi\) | |||||||
\(282\) | −561.331 | + | 6295.11i | −0.118535 | + | 1.32932i | ||||
\(283\) | −461.208 | + | 387.000i | −0.0968763 | + | 0.0812888i | −0.689939 | − | 0.723867i | \(-0.742363\pi\) |
0.593063 | + | 0.805156i | \(0.297918\pi\) | |||||||
\(284\) | 3486.77 | − | 2925.75i | 0.728527 | − | 0.611307i | ||||
\(285\) | −514.423 | + | 5769.06i | −0.106919 | + | 1.19905i | ||||
\(286\) | 912.051 | − | 331.959i | 0.188569 | − | 0.0686334i | ||||
\(287\) | 261.792 | + | 453.436i | 0.0538434 | + | 0.0932596i | ||||
\(288\) | −2413.97 | + | 6564.12i | −0.493904 | + | 1.34304i | ||||
\(289\) | 1804.90 | − | 3126.17i | 0.367371 | − | 0.636306i | ||||
\(290\) | −966.648 | + | 5482.13i | −0.195736 | + | 1.11008i | ||||
\(291\) | 732.500 | − | 1564.04i | 0.147560 | − | 0.315070i | ||||
\(292\) | −431.038 | − | 156.885i | −0.0863857 | − | 0.0314418i | ||||
\(293\) | 569.084 | + | 3227.44i | 0.113468 | + | 0.643512i | 0.987497 | + | 0.157637i | \(0.0503877\pi\) |
−0.874029 | + | 0.485875i | \(0.838501\pi\) | |||||||
\(294\) | −6766.79 | − | 1825.26i | −1.34234 | − | 0.362078i | ||||
\(295\) | −40.3627 | − | 33.8684i | −0.00796613 | − | 0.00668438i | ||||
\(296\) | 434.552 | 0.0853305 | ||||||||
\(297\) | −8208.28 | − | 3877.70i | −1.60368 | − | 0.757599i | ||||
\(298\) | −273.323 | −0.0531315 | ||||||||
\(299\) | −578.536 | − | 485.449i | −0.111898 | − | 0.0938938i | ||||
\(300\) | 1211.17 | + | 4550.49i | 0.233090 | + | 0.875743i | ||||
\(301\) | 238.014 | + | 1349.84i | 0.0455777 | + | 0.258484i | ||||
\(302\) | −503.958 | − | 183.426i | −0.0960248 | − | 0.0349502i | ||||
\(303\) | −1873.96 | − | 2685.81i | −0.355301 | − | 0.509227i | ||||
\(304\) | 669.002 | − | 3794.10i | 0.126217 | − | 0.715811i | ||||
\(305\) | 2690.77 | − | 4660.55i | 0.505157 | − | 0.874958i | ||||
\(306\) | 3994.54 | + | 718.090i | 0.746250 | + | 0.134152i | ||||
\(307\) | −2478.68 | − | 4293.19i | −0.460800 | − | 0.798129i | 0.538201 | − | 0.842816i | \(-0.319104\pi\) |
−0.999001 | + | 0.0446877i | \(0.985771\pi\) | |||||||
\(308\) | 2479.66 | − | 902.523i | 0.458740 | − | 0.166968i | ||||
\(309\) | −5081.52 | + | 2359.24i | −0.935526 | + | 0.434345i | ||||
\(310\) | 1176.28 | − | 987.016i | 0.215510 | − | 0.180835i | ||||
\(311\) | 2543.01 | − | 2133.84i | 0.463669 | − | 0.389065i | −0.380810 | − | 0.924653i | \(-0.624355\pi\) |
0.844479 | + | 0.535589i | \(0.179910\pi\) | |||||||
\(312\) | 85.3392 | + | 59.9675i | 0.0154852 | + | 0.0108814i | ||||
\(313\) | 1729.77 | − | 629.585i | 0.312372 | − | 0.113694i | −0.181077 | − | 0.983469i | \(-0.557958\pi\) |
0.493449 | + | 0.869775i | \(0.335736\pi\) | |||||||
\(314\) | −3100.10 | − | 5369.52i | −0.557161 | − | 0.965031i | ||||
\(315\) | 1518.69 | + | 883.580i | 0.271645 | + | 0.158045i | ||||
\(316\) | −2699.39 | + | 4675.47i | −0.480545 | + | 0.832329i | ||||
\(317\) | −1297.98 | + | 7361.21i | −0.229974 | + | 1.30425i | 0.622970 | + | 0.782246i | \(0.285926\pi\) |
−0.852944 | + | 0.522002i | \(0.825185\pi\) | |||||||
\(318\) | −11052.0 | + | 948.356i | −1.94895 | + | 0.167236i | ||||
\(319\) | 5455.20 | + | 1985.53i | 0.957470 | + | 0.348490i | ||||
\(320\) | −1724.79 | − | 9781.77i | −0.301309 | − | 1.70881i | ||||
\(321\) | −1993.69 | + | 1987.05i | −0.346657 | + | 0.345503i | ||||
\(322\) | −2920.41 | − | 2450.52i | −0.505429 | − | 0.424106i | ||||
\(323\) | −2700.40 | −0.465184 | ||||||||
\(324\) | −1137.37 | − | 6711.88i | −0.195023 | − | 1.15087i | ||||
\(325\) | −349.587 | −0.0596665 | ||||||||
\(326\) | −8680.90 | − | 7284.14i | −1.47482 | − | 1.23752i | ||||
\(327\) | −1479.21 | + | 1474.29i | −0.250155 | + | 0.249322i | ||||
\(328\) | 116.010 | + | 657.923i | 0.0195292 | + | 0.110755i | ||||
\(329\) | −1198.72 | − | 436.298i | −0.200874 | − | 0.0731120i | ||||
\(330\) | 20785.6 | − | 1783.58i | 3.46730 | − | 0.297524i | ||||
\(331\) | −1609.21 | + | 9126.31i | −0.267222 | + | 1.51549i | 0.495411 | + | 0.868659i | \(0.335018\pi\) |
−0.762633 | + | 0.646832i | \(0.776094\pi\) | |||||||
\(332\) | −2485.29 | + | 4304.64i | −0.410837 | + | 0.711590i | ||||
\(333\) | 1827.00 | − | 1046.71i | 0.300658 | − | 0.172251i | ||||
\(334\) | 3208.02 | + | 5556.46i | 0.525554 | + | 0.910287i | ||||
\(335\) | −2643.00 | + | 961.972i | −0.431052 | + | 0.156890i | ||||
\(336\) | −956.238 | − | 671.945i | −0.155259 | − | 0.109100i | ||||
\(337\) | 8136.60 | − | 6827.41i | 1.31522 | − | 1.10360i | 0.327923 | − | 0.944704i | \(-0.393651\pi\) |
0.987296 | − | 0.158895i | \(-0.0507931\pi\) | |||||||
\(338\) | 6966.48 | − | 5845.57i | 1.12108 | − | 0.940702i | ||||
\(339\) | 121.462 | − | 56.3921i | 0.0194599 | − | 0.00903481i | ||||
\(340\) | −4720.39 | + | 1718.08i | −0.752938 | + | 0.274047i | ||||
\(341\) | −800.671 | − | 1386.80i | −0.127152 | − | 0.220233i | ||||
\(342\) | 2849.96 | + | 7912.21i | 0.450609 | + | 1.25100i | ||||
\(343\) | 1456.27 | − | 2522.33i | 0.229245 | − | 0.397064i | ||||
\(344\) | −303.697 | + | 1722.35i | −0.0475995 | + | 0.269950i | ||||
\(345\) | −9288.68 | − | 13312.8i | −1.44952 | − | 2.07750i | ||||
\(346\) | 13128.6 | + | 4778.43i | 2.03988 | + | 0.742457i | ||||
\(347\) | −667.156 | − | 3783.63i | −0.103213 | − | 0.585349i | −0.991919 | − | 0.126872i | \(-0.959506\pi\) |
0.888706 | − | 0.458477i | \(-0.151605\pi\) | |||||||
\(348\) | 1119.71 | + | 4206.86i | 0.172479 | + | 0.648021i | ||||
\(349\) | 338.338 | + | 283.900i | 0.0518935 | + | 0.0435438i | 0.668366 | − | 0.743833i | \(-0.266994\pi\) |
−0.616472 | + | 0.787377i | \(0.711439\pi\) | |||||||
\(350\) | −1764.69 | −0.269505 | ||||||||
\(351\) | 503.239 | + | 46.5659i | 0.0765269 | + | 0.00708121i | ||||
\(352\) | −16761.3 | −2.53801 | ||||||||
\(353\) | 8230.40 | + | 6906.12i | 1.24096 | + | 1.04129i | 0.997448 | + | 0.0713940i | \(0.0227448\pi\) |
0.243514 | + | 0.969897i | \(0.421700\pi\) | |||||||
\(354\) | −73.8650 | − | 19.9242i | −0.0110901 | − | 0.00299141i | ||||
\(355\) | 1261.24 | + | 7152.82i | 0.188562 | + | 1.06939i | ||||
\(356\) | 6292.57 | + | 2290.31i | 0.936814 | + | 0.340972i | ||||
\(357\) | −347.439 | + | 741.853i | −0.0515082 | + | 0.109980i | ||||
\(358\) | 1432.20 | − | 8122.42i | 0.211436 | − | 1.19912i | ||||
\(359\) | −5923.26 | + | 10259.4i | −0.870801 | + | 1.50827i | −0.00963217 | + | 0.999954i | \(0.503066\pi\) |
−0.861169 | + | 0.508319i | \(0.830267\pi\) | |||||||
\(360\) | 1435.33 | + | 1722.19i | 0.210134 | + | 0.252131i | ||||
\(361\) | 631.722 | + | 1094.17i | 0.0921011 | + | 0.159524i | ||||
\(362\) | −7405.51 | + | 2695.38i | −1.07521 | + | 0.391343i | ||||
\(363\) | 1318.05 | − | 14781.5i | 0.190578 | − | 2.13726i | ||||
\(364\) | −112.536 | + | 94.4287i | −0.0162046 | + | 0.0135973i | ||||
\(365\) | 560.713 | − | 470.494i | 0.0804084 | − | 0.0674707i | ||||
\(366\) | 694.009 | − | 7783.05i | 0.0991160 | − | 1.11155i | ||||
\(367\) | −1206.14 | + | 439.000i | −0.171553 | + | 0.0624403i | −0.426369 | − | 0.904549i | \(-0.640207\pi\) |
0.254816 | + | 0.966990i | \(0.417985\pi\) | |||||||
\(368\) | 5398.86 | + | 9351.10i | 0.764769 | + | 1.32462i | ||||
\(369\) | 2072.49 | + | 2486.70i | 0.292384 | + | 0.350819i | ||||
\(370\) | −2419.39 | + | 4190.50i | −0.339940 | + | 0.588794i | ||||
\(371\) | 388.788 | − | 2204.92i | 0.0544066 | − | 0.308555i | ||||
\(372\) | 509.305 | − | 1087.47i | 0.0709845 | − | 0.151566i | ||||
\(373\) | −5556.69 | − | 2022.47i | −0.771353 | − | 0.280749i | −0.0737905 | − | 0.997274i | \(-0.523510\pi\) |
−0.697562 | + | 0.716524i | \(0.745732\pi\) | |||||||
\(374\) | 1689.00 | + | 9578.80i | 0.233519 | + | 1.32435i | ||||
\(375\) | 2089.80 | + | 563.696i | 0.287778 | + | 0.0776244i | ||||
\(376\) | −1246.88 | − | 1046.25i | −0.171018 | − | 0.143501i | ||||
\(377\) | −323.188 | −0.0441512 | ||||||||
\(378\) | 2540.32 | + | 235.062i | 0.345661 | + | 0.0319848i | ||||
\(379\) | −6388.36 | −0.865825 | −0.432913 | − | 0.901436i | \(-0.642514\pi\) | ||||
−0.432913 | + | 0.901436i | \(0.642514\pi\) | |||||||
\(380\) | −7973.72 | − | 6690.74i | −1.07643 | − | 0.903231i | ||||
\(381\) | 2556.16 | + | 9603.76i | 0.343717 | + | 1.29138i | ||||
\(382\) | −491.857 | − | 2789.46i | −0.0658785 | − | 0.373616i | ||||
\(383\) | −12042.6 | − | 4383.16i | −1.60666 | − | 0.584776i | −0.625884 | − | 0.779916i | \(-0.715262\pi\) |
−0.980775 | + | 0.195140i | \(0.937484\pi\) | |||||||
\(384\) | −2091.02 | − | 2996.91i | −0.277883 | − | 0.398269i | ||||
\(385\) | −731.196 | + | 4146.82i | −0.0967927 | + | 0.548939i | ||||
\(386\) | 4909.35 | − | 8503.24i | 0.647356 | − | 1.12125i | ||||
\(387\) | 2871.80 | + | 7972.85i | 0.377214 | + | 1.04724i | ||||
\(388\) | 1551.89 | + | 2687.96i | 0.203055 | + | 0.351702i | ||||
\(389\) | 6661.13 | − | 2424.45i | 0.868207 | − | 0.316001i | 0.130766 | − | 0.991413i | \(-0.458256\pi\) |
0.737441 | + | 0.675412i | \(0.236034\pi\) | |||||||
\(390\) | −1053.41 | + | 489.077i | −0.136773 | + | 0.0635009i | ||||
\(391\) | 5797.72 | − | 4864.86i | 0.749880 | − | 0.629224i | ||||
\(392\) | 1382.72 | − | 1160.24i | 0.178158 | − | 0.149492i | ||||
\(393\) | 9891.27 | + | 6950.55i | 1.26959 | + | 0.892135i | ||||
\(394\) | 5775.64 | − | 2102.16i | 0.738509 | − | 0.268795i | ||||
\(395\) | −4307.46 | − | 7460.75i | −0.548689 | − | 0.950357i | ||||
\(396\) | 14156.1 | − | 8110.17i | 1.79639 | − | 1.02917i | ||||
\(397\) | 5314.08 | − | 9204.25i | 0.671803 | − | 1.16360i | −0.305589 | − | 0.952163i | \(-0.598853\pi\) |
0.977392 | − | 0.211434i | \(-0.0678133\pi\) | |||||||
\(398\) | −3041.81 | + | 17250.9i | −0.383095 | + | 2.17264i | ||||
\(399\) | −1691.23 | + | 145.122i | −0.212199 | + | 0.0182085i | ||||
\(400\) | 4696.74 | + | 1709.48i | 0.587093 | + | 0.213684i | ||||
\(401\) | 1665.07 | + | 9443.07i | 0.207355 | + | 1.17597i | 0.893690 | + | 0.448685i | \(0.148107\pi\) |
−0.686335 | + | 0.727286i | \(0.740781\pi\) | |||||||
\(402\) | −2892.56 | + | 2882.93i | −0.358875 | + | 0.357680i | ||||
\(403\) | 68.2917 | + | 57.3035i | 0.00844132 | + | 0.00708311i | ||||
\(404\) | 5885.55 | 0.724795 | ||||||||
\(405\) | 10182.8 | + | 3783.37i | 1.24936 | + | 0.464190i | ||||
\(406\) | −1631.43 | −0.199425 | ||||||||
\(407\) | 3865.59 | + | 3243.62i | 0.470787 | + | 0.395037i | ||||
\(408\) | −740.333 | + | 737.868i | −0.0898332 | + | 0.0895341i | ||||
\(409\) | −2006.85 | − | 11381.4i | −0.242622 | − | 1.37598i | −0.825950 | − | 0.563743i | \(-0.809361\pi\) |
0.583328 | − | 0.812237i | \(-0.301750\pi\) | |||||||
\(410\) | −6990.41 | − | 2544.30i | −0.842029 | − | 0.306473i | ||||
\(411\) | −9513.04 | + | 816.299i | −1.14171 | + | 0.0979685i | ||||
\(412\) | 1748.37 | − | 9915.50i | 0.209068 | − | 1.18568i | ||||
\(413\) | 7.72090 | − | 13.3730i | 0.000919904 | − | 0.00159332i | ||||
\(414\) | −20372.9 | − | 11853.1i | −2.41854 | − | 1.40712i | ||||
\(415\) | −3965.82 | − | 6869.01i | −0.469095 | − | 0.812497i | ||||
\(416\) | 876.845 | − | 319.145i | 0.103343 | − | 0.0376139i | ||||
\(417\) | 9854.54 | + | 6924.74i | 1.15726 | + | 0.813204i | ||||
\(418\) | −15439.3 | + | 12955.1i | −1.80661 | + | 1.51592i | ||||
\(419\) | 7615.39 | − | 6390.07i | 0.887914 | − | 0.745048i | −0.0798765 | − | 0.996805i | \(-0.525453\pi\) |
0.967791 | + | 0.251756i | \(0.0810082\pi\) | |||||||
\(420\) | −2863.99 | + | 1329.69i | −0.332734 | + | 0.154482i | ||||
\(421\) | −9063.27 | + | 3298.76i | −1.04921 | + | 0.381881i | −0.808364 | − | 0.588683i | \(-0.799647\pi\) |
−0.240845 | + | 0.970564i | \(0.577424\pi\) | |||||||
\(422\) | 5397.82 | + | 9349.29i | 0.622658 | + | 1.07847i | ||||
\(423\) | −7762.41 | − | 1395.43i | −0.892249 | − | 0.160398i | ||||
\(424\) | 1428.40 | − | 2474.06i | 0.163607 | − | 0.283375i | ||||
\(425\) | 608.348 | − | 3450.12i | 0.0694335 | − | 0.393777i | ||||
\(426\) | 6034.54 | + | 8648.88i | 0.686325 | + | 0.983661i | ||||
\(427\) | 1482.05 | + | 539.422i | 0.167966 | + | 0.0611346i | ||||
\(428\) | −878.421 | − | 4981.77i | −0.0992058 | − | 0.562624i | ||||
\(429\) | 311.528 | + | 1170.44i | 0.0350599 | + | 0.131724i | ||||
\(430\) | −14918.2 | − | 12517.9i | −1.67307 | − | 1.40387i | ||||
\(431\) | −12396.5 | −1.38542 | −0.692711 | − | 0.721215i | \(-0.743584\pi\) | ||||
−0.692711 | + | 0.721215i | \(0.743584\pi\) | |||||||
\(432\) | −6533.37 | − | 3086.45i | −0.727632 | − | 0.343743i | ||||
\(433\) | 8212.00 | 0.911417 | 0.455709 | − | 0.890129i | \(-0.349386\pi\) | ||||
0.455709 | + | 0.890129i | \(0.349386\pi\) | |||||||
\(434\) | 344.732 | + | 289.265i | 0.0381283 | + | 0.0319934i | ||||
\(435\) | −6706.97 | − | 1809.12i | −0.739252 | − | 0.199404i | ||||
\(436\) | −651.741 | − | 3696.21i | −0.0715889 | − | 0.406001i | ||||
\(437\) | 14736.8 | + | 5363.76i | 1.61317 | + | 0.587148i | ||||
\(438\) | 450.763 | − | 962.470i | 0.0491742 | − | 0.104997i | ||||
\(439\) | 925.549 | − | 5249.05i | 0.100624 | − | 0.570669i | −0.892254 | − | 0.451534i | \(-0.850877\pi\) |
0.992878 | − | 0.119134i | \(-0.0380120\pi\) | |||||||
\(440\) | −2686.41 | + | 4652.99i | −0.291067 | + | 0.504143i | ||||
\(441\) | 3018.73 | − | 8208.59i | 0.325961 | − | 0.886362i | ||||
\(442\) | −270.744 | − | 468.943i | −0.0291357 | − | 0.0504646i | ||||
\(443\) | 6032.96 | − | 2195.82i | 0.647030 | − | 0.235500i | 0.00240350 | − | 0.999997i | \(-0.499235\pi\) |
0.644627 | + | 0.764497i | \(0.277013\pi\) | |||||||
\(444\) | −336.089 | + | 3769.10i | −0.0359236 | + | 0.402869i | ||||
\(445\) | −8185.65 | + | 6868.58i | −0.871993 | + | 0.731689i | ||||
\(446\) | −8703.07 | + | 7302.74i | −0.923996 | + | 0.775325i | ||||
\(447\) | 30.2937 | − | 339.732i | 0.00320546 | − | 0.0359480i | ||||
\(448\) | 2735.41 | − | 995.609i | 0.288474 | − | 0.104996i | ||||
\(449\) | −7773.82 | − | 13464.7i | −0.817081 | − | 1.41523i | −0.907824 | − | 0.419351i | \(-0.862258\pi\) |
0.0907432 | − | 0.995874i | \(-0.471076\pi\) | |||||||
\(450\) | −10750.9 | + | 1858.73i | −1.12623 | + | 0.194714i | ||||
\(451\) | −3878.95 | + | 6718.54i | −0.404995 | + | 0.701472i | ||||
\(452\) | −41.7907 | + | 237.007i | −0.00434882 | + | 0.0246634i | ||||
\(453\) | 283.848 | − | 606.073i | 0.0294400 | − | 0.0628605i | ||||
\(454\) | −11945.1 | − | 4347.65i | −1.23482 | − | 0.449439i | ||||
\(455\) | −40.7065 | − | 230.858i | −0.00419417 | − | 0.0237863i | ||||
\(456\) | −2091.14 | − | 564.058i | −0.214751 | − | 0.0579264i | ||||
\(457\) | 13929.2 | + | 11688.0i | 1.42578 | + | 1.19637i | 0.948156 | + | 0.317807i | \(0.102946\pi\) |
0.477624 | + | 0.878564i | \(0.341498\pi\) | |||||||
\(458\) | 14938.2 | 1.52405 | ||||||||
\(459\) | −1335.30 | + | 4885.49i | −0.135787 | + | 0.496809i | ||||
\(460\) | 29173.0 | 2.95695 | ||||||||
\(461\) | −11480.2 | − | 9633.01i | −1.15984 | − | 0.973219i | −0.159934 | − | 0.987128i | \(-0.551128\pi\) |
−0.999903 | + | 0.0139089i | \(0.995573\pi\) | |||||||
\(462\) | 1572.57 | + | 5908.32i | 0.158361 | + | 0.594978i | ||||
\(463\) | −1011.90 | − | 5738.76i | −0.101570 | − | 0.576032i | −0.992535 | − | 0.121960i | \(-0.961082\pi\) |
0.890965 | − | 0.454072i | \(-0.150029\pi\) | |||||||
\(464\) | 4342.07 | + | 1580.38i | 0.434430 | + | 0.158119i | ||||
\(465\) | 1096.46 | + | 1571.47i | 0.109348 | + | 0.156721i | ||||
\(466\) | −3418.86 | + | 19389.3i | −0.339862 | + | 1.92745i | ||||
\(467\) | 5542.30 | − | 9599.55i | 0.549180 | − | 0.951208i | −0.449150 | − | 0.893456i | \(-0.648273\pi\) |
0.998331 | − | 0.0577523i | \(-0.0183934\pi\) | |||||||
\(468\) | −586.133 | + | 693.813i | −0.0578932 | + | 0.0685289i | ||||
\(469\) | −412.147 | − | 713.859i | −0.0405782 | − | 0.0702835i | ||||
\(470\) | 17031.3 | − | 6198.89i | 1.67148 | − | 0.608369i | ||||
\(471\) | 7017.74 | − | 3258.19i | 0.686540 | − | 0.318746i | ||||
\(472\) | 15.0935 | − | 12.6649i | 0.00147190 | − | 0.00123507i | ||||
\(473\) | −15557.6 | + | 13054.4i | −1.51235 | + | 1.26901i | ||||
\(474\) | −10234.6 | − | 7191.82i | −0.991754 | − | 0.696901i | ||||
\(475\) | 6821.55 | − | 2482.84i | 0.658935 | − | 0.239833i | ||||
\(476\) | −736.094 | − | 1274.95i | −0.0708798 | − | 0.122767i | ||||
\(477\) | 46.1700 | − | 13842.4i | 0.00443182 | − | 1.32872i | ||||
\(478\) | −8365.72 | + | 14489.8i | −0.800500 | + | 1.38651i | ||||
\(479\) | −790.050 | + | 4480.59i | −0.0753618 | + | 0.427398i | 0.923661 | + | 0.383210i | \(0.125181\pi\) |
−0.999023 | + | 0.0441884i | \(0.985930\pi\) | |||||||
\(480\) | 19983.3 | − | 1714.73i | 1.90022 | − | 0.163055i | ||||
\(481\) | −263.984 | − | 96.0824i | −0.0250242 | − | 0.00910806i | ||||
\(482\) | 1169.37 | + | 6631.81i | 0.110505 | + | 0.626702i | ||||
\(483\) | 3369.60 | − | 3358.38i | 0.317437 | − | 0.316380i | ||||
\(484\) | 20430.2 | + | 17143.0i | 1.91869 | + | 1.60998i | ||||
\(485\) | −4952.77 | −0.463699 | ||||||||
\(486\) | 15723.8 | − | 1243.63i | 1.46758 | − | 0.116075i | ||||
\(487\) | 11089.7 | 1.03187 | 0.515936 | − | 0.856627i | \(-0.327444\pi\) | ||||
0.515936 | + | 0.856627i | \(0.327444\pi\) | |||||||
\(488\) | 1541.59 | + | 1293.55i | 0.143001 | + | 0.119992i | ||||
\(489\) | 10016.1 | − | 9982.75i | 0.926265 | − | 0.923181i | ||||
\(490\) | 3490.14 | + | 19793.6i | 0.321772 | + | 1.82486i | ||||
\(491\) | −13866.9 | − | 5047.15i | −1.27455 | − | 0.463900i | −0.385927 | − | 0.922530i | \(-0.626118\pi\) |
−0.888627 | + | 0.458630i | \(0.848340\pi\) | |||||||
\(492\) | −5796.25 | + | 497.367i | −0.531128 | + | 0.0455753i | ||||
\(493\) | 562.408 | − | 3189.58i | 0.0513785 | − | 0.291382i | ||||
\(494\) | 561.015 | − | 971.706i | 0.0510956 | − | 0.0885002i | ||||
\(495\) | −86.8323 | + | 26033.5i | −0.00788449 | + | 2.36388i | ||||
\(496\) | −637.293 | − | 1103.82i | −0.0576922 | − | 0.0999258i | ||||
\(497\) | −2000.24 | + | 728.029i | −0.180530 | + | 0.0657074i | ||||
\(498\) | −9422.86 | − | 6621.41i | −0.847889 | − | 0.595808i | ||||
\(499\) | −3359.38 | + | 2818.86i | −0.301376 | + | 0.252884i | −0.780917 | − | 0.624635i | \(-0.785248\pi\) |
0.479541 | + | 0.877520i | \(0.340803\pi\) | |||||||
\(500\) | −2979.83 | + | 2500.37i | −0.266524 | + | 0.223640i | ||||
\(501\) | −7262.06 | + | 3371.62i | −0.647594 | + | 0.300664i | ||||
\(502\) | 24414.5 | − | 8886.16i | 2.17066 | − | 0.790057i | ||||
\(503\) | −4598.51 | − | 7964.85i | −0.407629 | − | 0.706034i | 0.586995 | − | 0.809591i | \(-0.300311\pi\) |
−0.994624 | + | 0.103557i | \(0.966978\pi\) | |||||||
\(504\) | −424.008 | + | 501.904i | −0.0374738 | + | 0.0443583i | ||||
\(505\) | −4695.85 | + | 8133.44i | −0.413787 | + | 0.716700i | ||||
\(506\) | 9808.87 | − | 55628.9i | 0.861774 | − | 4.88736i | ||||
\(507\) | 6493.73 | + | 9307.00i | 0.568830 | + | 0.815263i | ||||
\(508\) | −16783.1 | − | 6108.55i | −1.46581 | − | 0.533510i | ||||
\(509\) | −1157.17 | − | 6562.61i | −0.100767 | − | 0.571479i | −0.992827 | − | 0.119561i | \(-0.961851\pi\) |
0.892060 | − | 0.451917i | \(-0.149260\pi\) | |||||||
\(510\) | −2993.62 | − | 11247.3i | −0.259921 | − | 0.976549i | ||||
\(511\) | 164.328 | + | 137.888i | 0.0142259 | + | 0.0119370i | ||||
\(512\) | −15637.0 | −1.34974 | ||||||||
\(513\) | −10150.5 | + | 2665.46i | −0.873598 | + | 0.229402i | ||||
\(514\) | 3003.34 | 0.257727 | ||||||||
\(515\) | 12307.6 | + | 10327.3i | 1.05308 | + | 0.883643i | ||||
\(516\) | −14704.0 | − | 3966.21i | −1.25447 | − | 0.338377i | ||||
\(517\) | −3282.16 | − | 18614.1i | −0.279206 | − | 1.58345i | ||||
\(518\) | −1332.58 | − | 485.018i | −0.113031 | − | 0.0411399i | ||||
\(519\) | −7394.55 | + | 15788.9i | −0.625404 | + | 1.33536i | ||||
\(520\) | 51.9400 | − | 294.566i | 0.00438023 | − | 0.0248415i | ||||
\(521\) | −7880.24 | + | 13649.0i | −0.662648 | + | 1.14774i | 0.317269 | + | 0.948335i | \(0.397234\pi\) |
−0.979917 | + | 0.199404i | \(0.936099\pi\) | |||||||
\(522\) | −9939.05 | + | 1718.36i | −0.833373 | + | 0.144082i | ||||
\(523\) | 641.174 | + | 1110.55i | 0.0536072 | + | 0.0928504i | 0.891584 | − | 0.452856i | \(-0.149595\pi\) |
−0.837977 | + | 0.545706i | \(0.816261\pi\) | |||||||
\(524\) | −20415.7 | + | 7430.69i | −1.70203 | + | 0.619487i | ||||
\(525\) | 195.589 | − | 2193.46i | 0.0162595 | − | 0.182344i | ||||
\(526\) | 15790.1 | − | 13249.4i | 1.30890 | − | 1.09830i | ||||
\(527\) | −684.375 | + | 574.259i | −0.0565690 | + | 0.0474670i | ||||
\(528\) | 1538.03 | − | 17248.4i | 0.126769 | − | 1.42167i | ||||
\(529\) | −29869.4 | + | 10871.6i | −2.45495 | + | 0.893530i | ||||
\(530\) | 15905.4 | + | 27548.9i | 1.30356 | + | 2.25782i | ||||
\(531\) | 32.9519 | − | 89.6036i | 0.00269301 | − | 0.00732291i | ||||
\(532\) | 1525.27 | − | 2641.85i | 0.124303 | − | 0.215298i | ||||
\(533\) | 74.9970 | − | 425.329i | 0.00609471 | − | 0.0345648i | ||||
\(534\) | −6580.52 | + | 14050.8i | −0.533272 | + | 1.13864i | ||||
\(535\) | 7585.34 | + | 2760.84i | 0.612977 | + | 0.223105i | ||||
\(536\) | −182.638 | − | 1035.79i | −0.0147178 | − | 0.0834688i | ||||
\(537\) | 9937.17 | + | 2680.43i | 0.798549 | + | 0.215398i | ||||
\(538\) | −19831.5 | − | 16640.6i | −1.58922 | − | 1.33351i | ||||
\(539\) | 20960.4 | 1.67501 | ||||||||
\(540\) | −16047.5 | + | 11117.4i | −1.27885 | + | 0.885955i | ||||
\(541\) | 3014.37 | 0.239553 | 0.119776 | − | 0.992801i | \(-0.461782\pi\) | ||||
0.119776 | + | 0.992801i | \(0.461782\pi\) | |||||||
\(542\) | 9214.73 | + | 7732.08i | 0.730270 | + | 0.612770i | ||||
\(543\) | −2529.49 | − | 9503.55i | −0.199909 | − | 0.751080i | ||||
\(544\) | 1623.80 | + | 9209.05i | 0.127978 | + | 0.725799i | ||||
\(545\) | 5627.92 | + | 2048.39i | 0.442337 | + | 0.160997i | ||||
\(546\) | −194.765 | − | 279.143i | −0.0152659 | − | 0.0218795i | ||||
\(547\) | −1049.01 | + | 5949.21i | −0.0819969 | + | 0.465027i | 0.915967 | + | 0.401253i | \(0.131425\pi\) |
−0.997964 | + | 0.0637747i | \(0.979686\pi\) | |||||||
\(548\) | 8579.55 | − | 14860.2i | 0.668796 | − | 1.15839i | ||||
\(549\) | 9597.16 | + | 1725.26i | 0.746078 | + | 0.134121i | ||||
\(550\) | −13073.7 | − | 22644.3i | −1.01357 | − | 1.75556i | ||||
\(551\) | 6306.41 | − | 2295.35i | 0.487590 | − | 0.177468i | ||||
\(552\) | 5505.81 | − | 2556.23i | 0.424534 | − | 0.197102i | ||||
\(553\) | 1934.09 | − | 1622.89i | 0.148727 | − | 0.124797i | ||||
\(554\) | −357.485 | + | 299.965i | −0.0274153 | + | 0.0230042i | ||||
\(555\) | −4940.50 | − | 3471.67i | −0.377861 | − | 0.265521i | ||||
\(556\) | −20339.9 | + | 7403.10i | −1.55144 | + | 0.564679i | ||||
\(557\) | 6681.15 | + | 11572.1i | 0.508240 | + | 0.880297i | 0.999954 | + | 0.00954076i | \(0.00303697\pi\) |
−0.491715 | + | 0.870756i | \(0.663630\pi\) | |||||||
\(558\) | 2404.87 | + | 1399.17i | 0.182448 | + | 0.106149i | ||||
\(559\) | 565.314 | − | 979.152i | 0.0427732 | − | 0.0740854i | ||||
\(560\) | −581.995 | + | 3300.66i | −0.0439174 | + | 0.249068i | ||||
\(561\) | −12093.3 | + | 1037.71i | −0.910127 | + | 0.0780966i | ||||
\(562\) | −4511.04 | − | 1641.88i | −0.338589 | − | 0.123236i | ||||
\(563\) | −3926.41 | − | 22267.8i | −0.293923 | − | 1.66692i | −0.671549 | − | 0.740960i | \(-0.734371\pi\) |
0.377626 | − | 0.925958i | \(-0.376741\pi\) | |||||||
\(564\) | 10039.1 | − | 10005.6i | 0.749505 | − | 0.747009i | ||||
\(565\) | −294.185 | − | 246.850i | −0.0219052 | − | 0.0183806i | ||||
\(566\) | 2506.95 | 0.186175 | ||||||||
\(567\) | −573.730 | + | 3131.48i | −0.0424945 | + | 0.231940i | ||||
\(568\) | −2716.03 | −0.200638 | ||||||||
\(569\) | 667.823 | + | 560.370i | 0.0492032 | + | 0.0412864i | 0.667058 | − | 0.745006i | \(-0.267553\pi\) |
−0.617854 | + | 0.786292i | \(0.711998\pi\) | |||||||
\(570\) | 17081.8 | − | 17025.0i | 1.25523 | − | 1.25105i | ||||
\(571\) | 1593.49 | + | 9037.15i | 0.116787 | + | 0.662334i | 0.985850 | + | 0.167632i | \(0.0536119\pi\) |
−0.869062 | + | 0.494703i | \(0.835277\pi\) | |||||||
\(572\) | −2045.41 | − | 744.469i | −0.149516 | − | 0.0544193i | ||||
\(573\) | 3521.72 | − | 302.194i | 0.256758 | − | 0.0220320i | ||||
\(574\) | 378.580 | − | 2147.04i | 0.0275290 | − | 0.156125i | ||||
\(575\) | −10172.8 | + | 17619.8i | −0.737802 | + | 1.27791i | ||||
\(576\) | 15616.1 | − | 8946.65i | 1.12964 | − | 0.647182i | ||||
\(577\) | −8210.92 | − | 14221.7i | −0.592418 | − | 1.02610i | −0.993906 | − | 0.110234i | \(-0.964840\pi\) |
0.401488 | − | 0.915864i | \(-0.368493\pi\) | |||||||
\(578\) | −14124.4 | + | 5140.86i | −1.01643 | + | 0.369951i | ||||
\(579\) | 10025.1 | + | 7044.62i | 0.719569 | + | 0.505638i | ||||
\(580\) | 9563.43 | − | 8024.67i | 0.684655 | − | 0.574494i | ||||
\(581\) | 1780.69 | − | 1494.18i | 0.127152 | − | 0.106693i | ||||
\(582\) | −6522.65 | + | 3028.33i | −0.464558 | + | 0.215684i | ||||
\(583\) | 31173.6 | − | 11346.3i | 2.21454 | − | 0.806027i | ||||
\(584\) | 136.857 | + | 237.043i | 0.00969721 | + | 0.0167961i | ||||
\(585\) | −491.152 | − | 1363.56i | −0.0347122 | − | 0.0963699i | ||||
\(586\) | 6823.05 | − | 11817.9i | 0.480986 | − | 0.833092i | ||||
\(587\) | −380.601 | + | 2158.50i | −0.0267616 | + | 0.151773i | −0.995260 | − | 0.0972455i | \(-0.968997\pi\) |
0.968499 | + | 0.249018i | \(0.0801079\pi\) | |||||||
\(588\) | 8993.95 | + | 12890.4i | 0.630789 | + | 0.904066i | ||||
\(589\) | −1739.57 | − | 633.150i | −0.121694 | − | 0.0442929i | ||||
\(590\) | 38.0977 | + | 216.063i | 0.00265841 | + | 0.0150766i | ||||
\(591\) | 1972.78 | + | 7411.93i | 0.137308 | + | 0.515881i | ||||
\(592\) | 3076.82 | + | 2581.76i | 0.213609 | + | 0.179239i | ||||
\(593\) | 23259.5 | 1.61071 | 0.805357 | − | 0.592790i | \(-0.201974\pi\) | ||||
0.805357 | + | 0.592790i | \(0.201974\pi\) | |||||||
\(594\) | 15803.6 | + | 34338.5i | 1.09163 | + | 2.37193i | ||||
\(595\) | 2349.20 | 0.161862 | ||||||||
\(596\) | 469.561 | + | 394.009i | 0.0322718 | + | 0.0270792i | ||||
\(597\) | −21105.2 | − | 5692.87i | −1.44687 | − | 0.390274i | ||||
\(598\) | 546.071 | + | 3096.92i | 0.0373420 | + | 0.211777i | ||||
\(599\) | 10362.4 | + | 3771.59i | 0.706836 | + | 0.257267i | 0.670327 | − | 0.742066i | \(-0.266154\pi\) |
0.0365091 | + | 0.999333i | \(0.488376\pi\) | |||||||
\(600\) | 1191.75 | − | 2544.63i | 0.0810884 | − | 0.173140i | ||||
\(601\) | −2590.04 | + | 14688.8i | −0.175790 | + | 0.996956i | 0.761438 | + | 0.648238i | \(0.224494\pi\) |
−0.937228 | + | 0.348718i | \(0.886617\pi\) | |||||||
\(602\) | 2853.67 | − | 4942.70i | 0.193201 | − | 0.334634i | ||||
\(603\) | −3262.79 | − | 3914.88i | −0.220350 | − | 0.264389i | ||||
\(604\) | 601.368 | + | 1041.60i | 0.0405121 | + | 0.0701690i | ||||
\(605\) | −39991.0 | + | 14555.5i | −2.68738 | + | 0.978127i | ||||
\(606\) | −1211.16 | + | 13582.7i | −0.0811884 | + | 0.910497i | ||||
\(607\) | −19305.6 | + | 16199.3i | −1.29092 | + | 1.08321i | −0.299281 | + | 0.954165i | \(0.596747\pi\) |
−0.991639 | + | 0.129046i | \(0.958809\pi\) | |||||||
\(608\) | −14843.4 | + | 12455.1i | −0.990095 | + | 0.830788i | ||||
\(609\) | 180.819 | − | 2027.82i | 0.0120315 | − | 0.134928i | ||||
\(610\) | −21056.9 | + | 7664.08i | −1.39765 | + | 0.508704i | ||||
\(611\) | 526.126 | + | 911.276i | 0.0348359 | + | 0.0603376i | ||||
\(612\) | −5827.34 | − | 6991.98i | −0.384896 | − | 0.461820i | ||||
\(613\) | 8169.19 | − | 14149.4i | 0.538255 | − | 0.932285i | −0.460743 | − | 0.887534i | \(-0.652417\pi\) |
0.998998 | − | 0.0447517i | \(-0.0142497\pi\) | |||||||
\(614\) | −3584.45 | + | 20328.4i | −0.235597 | + | 1.33614i | ||||
\(615\) | 3937.27 | − | 8406.86i | 0.258156 | − | 0.551215i | ||||
\(616\) | −1479.65 | − | 538.548i | −0.0967804 | − | 0.0352252i | ||||
\(617\) | 260.152 | + | 1475.40i | 0.0169746 | + | 0.0962677i | 0.992118 | − | 0.125307i | \(-0.0399915\pi\) |
−0.975143 | + | 0.221574i | \(0.928880\pi\) | |||||||
\(618\) | 22523.3 | + | 6075.38i | 1.46605 | + | 0.395449i | ||||
\(619\) | 2950.08 | + | 2475.42i | 0.191557 | + | 0.160736i | 0.733522 | − | 0.679665i | \(-0.237875\pi\) |
−0.541965 | + | 0.840401i | \(0.682319\pi\) | |||||||
\(620\) | −3443.65 | −0.223065 | ||||||||
\(621\) | 16991.0 | − | 24009.1i | 1.09795 | − | 1.55146i | ||||
\(622\) | −13822.8 | −0.891070 | ||||||||
\(623\) | −2398.97 | − | 2012.97i | −0.154274 | − | 0.129451i | ||||
\(624\) | 247.960 | + | 931.612i | 0.0159076 | + | 0.0597666i | ||||
\(625\) | −3184.34 | − | 18059.3i | −0.203797 | − | 1.15579i | ||||
\(626\) | −7202.63 | − | 2621.54i | −0.459864 | − | 0.167377i | ||||
\(627\) | −14391.6 | − | 20626.5i | −0.916659 | − | 1.31378i | ||||
\(628\) | −2414.56 | + | 13693.6i | −0.153426 | + | 0.870120i | ||||
\(629\) | 1407.63 | − | 2438.09i | 0.0892304 | − | 0.154552i | ||||
\(630\) | −2479.31 | − | 6883.18i | −0.156790 | − | 0.435290i | ||||
\(631\) | 2206.90 | + | 3822.46i | 0.139232 | + | 0.241157i | 0.927206 | − | 0.374552i | \(-0.122203\pi\) |
−0.787974 | + | 0.615708i | \(0.788870\pi\) | |||||||
\(632\) | 3027.24 | − | 1101.83i | 0.190533 | − | 0.0693485i | ||||
\(633\) | −12219.1 | + | 5673.09i | −0.767246 | + | 0.356216i | ||||
\(634\) | 23842.6 | − | 20006.3i | 1.49355 | − | 1.25324i | ||||
\(635\) | 21832.2 | − | 18319.4i | 1.36438 | − | 1.14485i | ||||
\(636\) | 20354.1 | + | 14302.8i | 1.26902 | + | 0.891732i | ||||
\(637\) | −1096.52 | + | 399.099i | −0.0682034 | + | 0.0248240i | ||||
\(638\) | −12086.4 | − | 20934.3i | −0.750009 | − | 1.29905i | ||||
\(639\) | −11419.1 | + | 6542.15i | −0.706938 | + | 0.405013i | ||||
\(640\) | −5239.77 | + | 9075.54i | −0.323625 | + | 0.560535i | ||||
\(641\) | −1449.87 | + | 8222.63i | −0.0893393 | + | 0.506668i | 0.906996 | + | 0.421138i | \(0.138369\pi\) |
−0.996336 | + | 0.0855297i | \(0.972742\pi\) | |||||||
\(642\) | 11677.8 | − | 1002.05i | 0.717888 | − | 0.0616009i | ||||
\(643\) | 14772.6 | + | 5376.79i | 0.906025 | + | 0.329766i | 0.752665 | − | 0.658404i | \(-0.228768\pi\) |
0.153361 | + | 0.988170i | \(0.450990\pi\) | |||||||
\(644\) | 1484.64 | + | 8419.84i | 0.0908435 | + | 0.515199i | ||||
\(645\) | 17212.8 | − | 17155.4i | 1.05078 | − | 1.04728i | ||||
\(646\) | 8613.60 | + | 7227.67i | 0.524609 | + | 0.440199i | ||||
\(647\) | −19577.5 | −1.18960 | −0.594800 | − | 0.803874i | \(-0.702769\pi\) | ||||
−0.594800 | + | 0.803874i | \(0.702769\pi\) | |||||||
\(648\) | −2054.51 | + | 3504.31i | −0.124550 | + | 0.212442i | ||||
\(649\) | 228.800 | 0.0138385 | ||||||||
\(650\) | 1115.09 | + | 935.676i | 0.0672886 | + | 0.0564619i | ||||
\(651\) | −397.755 | + | 396.430i | −0.0239466 | + | 0.0238669i | ||||
\(652\) | 4413.09 | + | 25027.9i | 0.265077 | + | 1.50332i | ||||
\(653\) | −3191.76 | − | 1161.70i | −0.191276 | − | 0.0696187i | 0.244606 | − | 0.969623i | \(-0.421341\pi\) |
−0.435882 | + | 0.900004i | \(0.643564\pi\) | |||||||
\(654\) | 8664.27 | − | 743.468i | 0.518043 | − | 0.0444524i | ||||
\(655\) | 6020.11 | − | 34141.8i | 0.359123 | − | 2.03669i | ||||
\(656\) | −3087.45 | + | 5347.62i | −0.183757 | + | 0.318276i | ||||
\(657\) | 1146.36 | + | 666.959i | 0.0680727 | + | 0.0396051i | ||||
\(658\) | 2655.85 | + | 4600.07i | 0.157349 | + | 0.272537i | ||||
\(659\) | 11809.4 | − | 4298.27i | 0.698072 | − | 0.254077i | 0.0314843 | − | 0.999504i | \(-0.489977\pi\) |
0.666587 | + | 0.745427i | \(0.267754\pi\) | |||||||
\(660\) | −38280.2 | − | 26899.3i | −2.25766 | − | 1.58645i | ||||
\(661\) | −8415.67 | + | 7061.59i | −0.495207 | + | 0.415528i | −0.855888 | − | 0.517161i | \(-0.826989\pi\) |
0.360681 | + | 0.932689i | \(0.382544\pi\) | |||||||
\(662\) | 29559.7 | − | 24803.5i | 1.73545 | − | 1.45622i | ||||
\(663\) | 612.889 | − | 284.551i | 0.0359014 | − | 0.0166683i | ||||
\(664\) | 2787.14 | − | 1014.43i | 0.162894 | − | 0.0592887i | ||||
\(665\) | 2433.91 | + | 4215.66i | 0.141929 | + | 0.245829i | ||||
\(666\) | −8629.22 | − | 1551.26i | −0.502065 | − | 0.0902553i | ||||
\(667\) | −9404.61 | + | 16289.3i | −0.545949 | + | 0.945611i | ||||
\(668\) | 2498.62 | − | 14170.4i | 0.144722 | − | 0.820759i | ||||
\(669\) | −8112.47 | − | 11627.0i | −0.468828 | − | 0.671939i | ||||
\(670\) | 11005.2 | + | 4005.57i | 0.634580 | + | 0.230968i | ||||
\(671\) | 4057.94 | + | 23013.7i | 0.233465 | + | 1.32405i | ||||
\(672\) | 1511.87 | + | 5680.25i | 0.0867882 | + | 0.326072i | ||||
\(673\) | −13361.5 | − | 11211.6i | −0.765300 | − | 0.642163i | 0.174200 | − | 0.984710i | \(-0.444266\pi\) |
−0.939501 | + | 0.342547i | \(0.888710\pi\) | |||||||
\(674\) | −44227.4 | −2.52756 | ||||||||
\(675\) | −1118.76 | − | 13569.1i | −0.0637943 | − | 0.773738i | ||||
\(676\) | −20394.9 | −1.16038 | ||||||||
\(677\) | 1396.54 | + | 1171.83i | 0.0792811 | + | 0.0665248i | 0.681567 | − | 0.731756i | \(-0.261299\pi\) |
−0.602286 | + | 0.798280i | \(0.705743\pi\) | |||||||
\(678\) | −538.367 | − | 145.218i | −0.0304953 | − | 0.00822574i | ||||
\(679\) | −252.052 | − | 1429.46i | −0.0142457 | − | 0.0807916i | ||||
\(680\) | 2816.72 | + | 1025.20i | 0.158848 | + | 0.0578158i | ||||
\(681\) | 6727.92 | − | 14365.5i | 0.378582 | − | 0.808349i | ||||
\(682\) | −1157.86 | + | 6566.56i | −0.0650100 | + | 0.368690i | ||||
\(683\) | −3996.62 | + | 6922.34i | −0.223904 | + | 0.387813i | −0.955990 | − | 0.293399i | \(-0.905213\pi\) |
0.732086 | + | 0.681212i | \(0.238547\pi\) | |||||||
\(684\) | 6509.69 | − | 17701.3i | 0.363895 | − | 0.989512i | ||||
\(685\) | 13690.6 | + | 23712.7i | 0.763634 | + | 1.32265i | ||||
\(686\) | −11396.2 | + | 4147.87i | −0.634269 | + | 0.230855i | ||||
\(687\) | −1655.67 | + | 18567.7i | −0.0919471 | + | 1.03115i | ||||
\(688\) | −12383.1 | + | 10390.7i | −0.686194 | + | 0.575785i | ||||
\(689\) | −1414.77 | + | 1187.13i | −0.0782268 | + | 0.0656401i | ||||
\(690\) | −6003.40 | + | 67325.8i | −0.331225 | + | 3.71456i | ||||
\(691\) | −4622.33 | + | 1682.39i | −0.254474 | + | 0.0926210i | −0.466107 | − | 0.884728i | \(-0.654344\pi\) |
0.211633 | + | 0.977349i | \(0.432122\pi\) | |||||||
\(692\) | −15666.3 | − | 27134.8i | −0.860611 | − | 1.49062i | ||||
\(693\) | −7518.15 | + | 1299.81i | −0.412108 | + | 0.0712493i | ||||
\(694\) | −7998.89 | + | 13854.5i | −0.437513 | + | 0.757794i | ||||
\(695\) | 5997.76 | − | 34015.0i | 0.327350 | − | 1.85649i | ||||
\(696\) | 1101.75 | − | 2352.47i | 0.0600027 | − | 0.128118i | ||||
\(697\) | 4067.11 | + | 1480.31i | 0.221023 | + | 0.0804457i | ||||
\(698\) | −319.352 | − | 1811.14i | −0.0173176 | − | 0.0982127i | ||||
\(699\) | −23721.4 | − | 6398.54i | −1.28358 | − | 0.346231i | ||||
\(700\) | 3031.69 | + | 2543.89i | 0.163696 | + | 0.137357i | ||||
\(701\) | 31745.0 | 1.71040 | 0.855202 | − | 0.518295i | \(-0.173433\pi\) | ||||
0.855202 | + | 0.518295i | \(0.173433\pi\) | |||||||
\(702\) | −1480.57 | − | 1495.46i | −0.0796020 | − | 0.0804025i | ||||
\(703\) | 5833.56 | 0.312968 | ||||||||
\(704\) | 33040.7 | + | 27724.5i | 1.76885 | + | 1.48424i | ||||
\(705\) | 5817.36 | + | 21856.4i | 0.310772 | + | 1.16760i | ||||
\(706\) | −7768.54 | − | 44057.6i | −0.414126 | − | 2.34862i | ||||
\(707\) | −2586.43 | − | 941.383i | −0.137585 | − | 0.0500769i | ||||
\(708\) | 98.1763 | + | 140.709i | 0.00521143 | + | 0.00746917i | ||||
\(709\) | 1939.44 | − | 10999.1i | 0.102732 | − | 0.582623i | −0.889370 | − | 0.457188i | \(-0.848857\pi\) |
0.992102 | − | 0.125434i | \(-0.0400324\pi\) | |||||||
\(710\) | 15121.6 | − | 26191.4i | 0.799302 | − | 1.38443i | ||||
\(711\) | 10073.5 | − | 11924.2i | 0.531347 | − | 0.628962i | ||||
\(712\) | −1997.92 | − | 3460.50i | −0.105162 | − | 0.182146i | ||||
\(713\) | 4875.46 | − | 1774.52i | 0.256083 | − | 0.0932067i | ||||
\(714\) | 3093.82 | − | 1436.40i | 0.162162 | − | 0.0752883i | ||||
\(715\) | 2660.76 | − | 2232.64i | 0.139170 | − | 0.116778i | ||||
\(716\) | −14169.4 | + | 11889.5i | −0.739572 | + | 0.620575i | ||||
\(717\) | −17083.2 | − | 12004.3i | −0.889796 | − | 0.625256i | ||||
\(718\) | 46353.1 | − | 16871.2i | 2.40931 | − | 0.876916i | ||||
\(719\) | −6886.08 | − | 11927.0i | −0.357173 | − | 0.618642i | 0.630314 | − | 0.776340i | \(-0.282926\pi\) |
−0.987487 | + | 0.157698i | \(0.949593\pi\) | |||||||
\(720\) | −69.1141 | + | 20721.4i | −0.00357740 | + | 1.07255i | ||||
\(721\) | −2354.30 | + | 4077.76i | −0.121607 | + | 0.210629i | ||||
\(722\) | 913.542 | − | 5180.95i | 0.0470893 | − | 0.267057i | ||||
\(723\) | −8372.73 | + | 718.451i | −0.430685 | + | 0.0369564i | ||||
\(724\) | 16608.0 | + | 6044.81i | 0.852528 | + | 0.310295i | ||||
\(725\) | 1511.89 | + | 8574.35i | 0.0774485 | + | 0.439232i | ||||
\(726\) | −43767.1 | + | 43621.4i | −2.23740 | + | 2.22995i | ||||
\(727\) | −9218.25 | − | 7735.03i | −0.470270 | − | 0.394603i | 0.376623 | − | 0.926366i | \(-0.377085\pi\) |
−0.846893 | + | 0.531763i | \(0.821530\pi\) | |||||||
\(728\) | 87.6602 | 0.00446278 | ||||||||
\(729\) | −196.948 | + | 19682.0i | −0.0100060 | + | 0.999950i | ||||
\(730\) | −3047.82 | −0.154527 | ||||||||
\(731\) | 8679.61 | + | 7283.06i | 0.439161 | + | 0.368500i | ||||
\(732\) | −12411.9 | + | 12370.6i | −0.626719 | + | 0.624632i | ||||
\(733\) | 3590.23 | + | 20361.2i | 0.180912 | + | 1.02600i | 0.931096 | + | 0.364773i | \(0.118853\pi\) |
−0.750185 | + | 0.661228i | \(0.770035\pi\) | |||||||
\(734\) | 5022.28 | + | 1827.96i | 0.252555 | + | 0.0919227i | ||||
\(735\) | −24989.6 | + | 2144.32i | −1.25409 | + | 0.107611i | ||||
\(736\) | 9430.24 | − | 53481.6i | 0.472287 | − | 2.67847i | ||||
\(737\) | 6106.75 | − | 10577.2i | 0.305217 | − | 0.528652i | ||||
\(738\) | 44.9579 | − | 13479.0i | 0.00224244 | − | 0.672315i | ||||
\(739\) | 10970.6 | + | 19001.6i | 0.546087 | + | 0.945851i | 0.998538 | + | 0.0540615i | \(0.0172167\pi\) |
−0.452450 | + | 0.891790i | \(0.649450\pi\) | |||||||
\(740\) | 10197.2 | − | 3711.49i | 0.506565 | − | 0.184375i | ||||
\(741\) | 1145.62 | + | 805.022i | 0.0567954 | + | 0.0399099i | ||||
\(742\) | −7141.65 | + | 5992.55i | −0.353340 | + | 0.296487i | ||||
\(743\) | 3377.79 | − | 2834.30i | 0.166782 | − | 0.139947i | −0.555577 | − | 0.831465i | \(-0.687502\pi\) |
0.722359 | + | 0.691519i | \(0.243058\pi\) | |||||||
\(744\) | −649.918 | + | 301.743i | −0.0320257 | + | 0.0148689i | ||||
\(745\) | −919.138 | + | 334.539i | −0.0452008 | + | 0.0164518i | ||||
\(746\) | 12311.3 | + | 21323.7i | 0.604219 | + | 1.04654i | ||||
\(747\) | 9274.58 | − | 10978.4i | 0.454269 | − | 0.537724i | ||||
\(748\) | 10906.7 | − | 18890.9i | 0.533137 | − | 0.923421i | ||||
\(749\) | −410.800 | + | 2329.76i | −0.0200405 | + | 0.113655i | ||||
\(750\) | −5157.18 | − | 7391.42i | −0.251085 | − | 0.359862i | ||||
\(751\) | 20340.3 | + | 7403.28i | 0.988322 | + | 0.359720i | 0.785070 | − | 0.619407i | \(-0.212627\pi\) |
0.203252 | + | 0.979127i | \(0.434849\pi\) | |||||||
\(752\) | −2612.43 | − | 14815.8i | −0.126683 | − | 0.718455i | ||||
\(753\) | 8339.23 | + | 31331.3i | 0.403584 | + | 1.51631i | ||||
\(754\) | 1030.89 | + | 865.017i | 0.0497914 | + | 0.0417799i | ||||
\(755\) | −1919.23 | −0.0925138 | ||||||||
\(756\) | −4025.34 | − | 4065.83i | −0.193651 | − | 0.195599i | ||||
\(757\) | −31885.6 | −1.53091 | −0.765456 | − | 0.643488i | \(-0.777487\pi\) | ||||
−0.765456 | + | 0.643488i | \(0.777487\pi\) | |||||||
\(758\) | 20377.2 | + | 17098.5i | 0.976431 | + | 0.819323i | ||||
\(759\) | 68057.8 | + | 18357.7i | 3.25473 | + | 0.877922i | ||||
\(760\) | 1078.56 | + | 6116.80i | 0.0514781 | + | 0.291947i | ||||
\(761\) | 13996.8 | + | 5094.42i | 0.666733 | + | 0.242671i | 0.653141 | − | 0.757237i | \(-0.273451\pi\) |
0.0135924 | + | 0.999908i | \(0.495673\pi\) | |||||||
\(762\) | 17551.1 | − | 37475.2i | 0.834395 | − | 1.78160i | ||||
\(763\) | −304.792 | + | 1728.56i | −0.0144616 | + | 0.0820158i | ||||
\(764\) | −3176.15 | + | 5501.25i | −0.150404 | + | 0.260508i | ||||
\(765\) | 14311.9 | − | 2474.38i | 0.676400 | − | 0.116943i | ||||
\(766\) | 26681.4 | + | 46213.5i | 1.25853 | + | 2.17985i | ||||
\(767\) | −11.9694 | + | 4.35650i | −0.000563480 | + | 0.000205090i | ||||
\(768\) | 1109.55 | − | 12443.2i | 0.0521323 | − | 0.584643i | ||||
\(769\) | −19734.2 | + | 16559.0i | −0.925401 | + | 0.776504i | −0.974986 | − | 0.222266i | \(-0.928655\pi\) |
0.0495849 | + | 0.998770i | \(0.484210\pi\) | |||||||
\(770\) | 13431.4 | − | 11270.2i | 0.628613 | − | 0.527469i | ||||
\(771\) | −332.875 | + | 3733.06i | −0.0155489 | + | 0.174375i | ||||
\(772\) | −20692.0 | + | 7531.26i | −0.964663 | + | 0.351109i | ||||
\(773\) | −2229.04 | − | 3860.81i | −0.103717 | − | 0.179643i | 0.809496 | − | 0.587125i | \(-0.199740\pi\) |
−0.913213 | + | 0.407482i | \(0.866407\pi\) | |||||||
\(774\) | 12179.1 | − | 33117.8i | 0.565594 | − | 1.53798i | ||||
\(775\) | 1200.82 | − | 2079.89i | 0.0556578 | − | 0.0964022i | ||||
\(776\) | 321.609 | − | 1823.93i | 0.0148777 | − | 0.0843755i | ||||
\(777\) | 750.557 | − | 1602.59i | 0.0346539 | − | 0.0739931i | ||||
\(778\) | −27736.4 | − | 10095.2i | −1.27815 | − | 0.465207i | ||||
\(779\) | 1557.35 | + | 8832.16i | 0.0716274 | + | 0.406219i | ||||
\(780\) | 2514.76 | + | 678.325i | 0.115439 | + | 0.0311384i | ||||
\(781\) | −24160.7 | − | 20273.2i | −1.10696 | − | 0.928852i | ||||
\(782\) | −31514.1 | −1.44110 | ||||||||
\(783\) | −1034.28 | − | 12544.4i | −0.0472057 | − | 0.572541i | ||||
\(784\) | 16683.4 | 0.759995 | ||||||||
\(785\) | −16997.2 | − | 14262.4i | −0.772811 | − | 0.648465i | ||||
\(786\) | −12947.4 | − | 48644.6i | −0.587554 | − | 2.20750i | ||||
\(787\) | 5721.40 | + | 32447.6i | 0.259143 | + | 1.46967i | 0.785209 | + | 0.619231i | \(0.212555\pi\) |
−0.526066 | + | 0.850444i | \(0.676334\pi\) | |||||||
\(788\) | −12952.8 | − | 4714.42i | −0.585562 | − | 0.213127i | ||||
\(789\) | 14718.5 | + | 21095.1i | 0.664124 | + | 0.951843i | ||||
\(790\) | −6229.08 | + | 35326.9i | −0.280533 | + | 1.59098i | ||||
\(791\) | 56.2739 | − | 97.4692i | 0.00252954 | − | 0.00438130i | ||||
\(792\) | −9581.60 | − | 1722.47i | −0.429883 | − | 0.0772793i | ||||
\(793\) | −650.482 | − | 1126.67i | −0.0291290 | − | 0.0504529i | ||||
\(794\) | −41585.9 | + | 15136.0i | −1.85873 | + | 0.676521i | ||||
\(795\) | −36005.2 | + | 16716.5i | −1.60626 | + | 0.745751i | ||||
\(796\) | 30093.8 | − | 25251.7i | 1.34001 | − | 1.12440i | ||||
\(797\) | −8850.28 | + | 7426.27i | −0.393341 | + | 0.330053i | −0.817913 | − | 0.575342i | \(-0.804869\pi\) |
0.424572 | + | 0.905394i | \(0.360425\pi\) | |||||||
\(798\) | 5783.01 | + | 4063.70i | 0.256537 | + | 0.180267i | ||||
\(799\) | −9909.04 | + | 3606.60i | −0.438744 | + | 0.159690i | ||||
\(800\) | −12569.0 | − | 21770.2i | −0.555478 | − | 0.962116i | ||||
\(801\) | −16735.3 | − | 9736.69i | −0.738217 | − | 0.429499i | ||||
\(802\) | 19963.4 | − | 34577.6i | 0.878967 | − | 1.52241i | ||||
\(803\) | −551.933 | + | 3130.17i | −0.0242557 | + | 0.137561i | ||||
\(804\) | 9125.21 | − | 783.020i | 0.400275 | − | 0.0343470i | ||||
\(805\) | −12820.2 | − | 4666.17i | −0.561308 | − | 0.204299i | ||||
\(806\) | −64.4594 | − | 365.568i | −0.00281698 | − | 0.0159759i | ||||
\(807\) | 22881.8 | − | 22805.6i | 0.998113 | − | 0.994789i | ||||
\(808\) | −2690.34 | − | 2257.46i | −0.117136 | − | 0.0982887i | ||||
\(809\) | −15334.9 | −0.666435 | −0.333217 | − | 0.942850i | \(-0.608134\pi\) | ||||
−0.333217 | + | 0.942850i | \(0.608134\pi\) | |||||||
\(810\) | −22354.4 | − | 39322.5i | −0.969698 | − | 1.70574i | ||||
\(811\) | −45665.6 | −1.97723 | −0.988616 | − | 0.150463i | \(-0.951924\pi\) | ||||
−0.988616 | + | 0.150463i | \(0.951924\pi\) | |||||||
\(812\) | 2802.75 | + | 2351.79i | 0.121130 | + | 0.101640i | ||||
\(813\) | −10632.0 | + | 10596.6i | −0.458649 | + | 0.457122i | ||||
\(814\) | −3648.67 | − | 20692.6i | −0.157108 | − | 0.891004i | ||||
\(815\) | −38107.9 | − | 13870.2i | −1.63787 | − | 0.596135i | ||||
\(816\) | −9625.68 | + | 825.965i | −0.412949 | + | 0.0354345i | ||||
\(817\) | −4076.91 | + | 23121.3i | −0.174582 | + | 0.990101i | ||||
\(818\) | −24061.2 | + | 41675.3i | −1.02846 | + | 1.78135i | ||||
\(819\) | 368.553 | − | 211.148i | 0.0157244 | − | 0.00900869i | ||||
\(820\) | 8341.59 | + | 14448.1i | 0.355245 | + | 0.615303i | ||||
\(821\) | −1919.35 | + | 698.587i | −0.0815905 | + | 0.0296965i | −0.382493 | − | 0.923958i | \(-0.624934\pi\) |
0.300902 | + | 0.953655i | \(0.402712\pi\) | |||||||
\(822\) | 32529.0 | + | 22858.0i | 1.38027 | + | 0.969908i | ||||
\(823\) | −4850.28 | + | 4069.86i | −0.205431 | + | 0.172377i | −0.739699 | − | 0.672938i | \(-0.765032\pi\) |
0.534267 | + | 0.845316i | \(0.320588\pi\) | |||||||
\(824\) | −4602.39 | + | 3861.86i | −0.194577 | + | 0.163270i | ||||
\(825\) | 29595.1 | − | 13740.4i | 1.24893 | − | 0.579854i | ||||
\(826\) | −60.4207 | + | 21.9913i | −0.00254516 | + | 0.000926364i | ||||
\(827\) | 6730.29 | + | 11657.2i | 0.282993 | + | 0.490158i | 0.972120 | − | 0.234482i | \(-0.0753393\pi\) |
−0.689127 | + | 0.724640i | \(0.742006\pi\) | |||||||
\(828\) | 17913.3 | + | 49731.8i | 0.751847 | + | 2.08732i | ||||
\(829\) | 16283.6 | − | 28204.1i | 0.682212 | − | 1.18163i | −0.292093 | − | 0.956390i | \(-0.594352\pi\) |
0.974304 | − | 0.225235i | \(-0.0723151\pi\) | |||||||
\(830\) | −5735.03 | + | 32525.0i | −0.239838 | + | 1.36019i | ||||
\(831\) | −333.226 | − | 477.589i | −0.0139103 | − | 0.0199367i | ||||
\(832\) | −2256.37 | − | 821.253i | −0.0940213 | − | 0.0342210i | ||||
\(833\) | −2030.61 | − | 11516.2i | −0.0844615 | − | 0.479005i | ||||
\(834\) | −12899.3 | − | 48464.0i | −0.535571 | − | 2.01220i | ||||
\(835\) | 17588.9 | + | 14758.9i | 0.728971 | + | 0.611679i | ||||
\(836\) | 45199.8 | 1.86994 | ||||||||
\(837\) | −2005.66 | + | 2834.09i | −0.0828264 | + | 0.117038i | ||||
\(838\) | −41394.3 | −1.70637 | ||||||||
\(839\) | −17753.6 | − | 14897.1i | −0.730541 | − | 0.612997i | 0.199738 | − | 0.979849i | \(-0.435991\pi\) |
−0.930279 | + | 0.366853i | \(0.880435\pi\) | |||||||
\(840\) | 1819.17 | + | 490.699i | 0.0747232 | + | 0.0201556i | ||||
\(841\) | −2837.39 | − | 16091.6i | −0.116339 | − | 0.659790i | ||||
\(842\) | 37738.7 | + | 13735.8i | 1.54461 | + | 0.562192i | ||||
\(843\) | 2540.79 | − | 5425.10i | 0.103807 | − | 0.221649i | ||||
\(844\) | 4204.17 | − | 23843.0i | 0.171461 | − | 0.972406i | ||||
\(845\) | 16272.3 | − | 28184.4i | 0.662465 | − | 1.14742i | ||||
\(846\) | 21025.2 | + | 25227.3i | 0.854447 | + | 1.02521i | ||||
\(847\) | −6236.16 | − | 10801.4i | −0.252984 | − | 0.438180i | ||||
\(848\) | 24812.6 | − | 9031.04i | 1.00480 | − | 0.365716i | ||||
\(849\) | −277.857 | + | 3116.06i | −0.0112321 | + | 0.125963i | ||||
\(850\) | −11174.8 | + | 9376.74i | −0.450931 | + | 0.378376i | ||||
\(851\) | −12524.5 | + | 10509.3i | −0.504507 | + | 0.423332i | ||||
\(852\) | 2100.62 | − | 23557.6i | 0.0844671 | − | 0.947266i | ||||
\(853\) | 33772.1 | − | 12292.0i | 1.35561 | − | 0.493402i | 0.440916 | − | 0.897548i | \(-0.354654\pi\) |
0.914694 | + | 0.404147i | \(0.132431\pi\) | |||||||
\(854\) | −3283.59 | − | 5687.35i | −0.131572 | − | 0.227889i | ||||
\(855\) | 19268.2 | + | 23119.1i | 0.770713 | + | 0.924746i | ||||
\(856\) | −1509.27 | + | 2614.14i | −0.0602640 | + | 0.104380i | ||||
\(857\) | −195.660 | + | 1109.64i | −0.00779884 | + | 0.0442294i | −0.988459 | − | 0.151490i | \(-0.951593\pi\) |
0.980660 | + | 0.195719i | \(0.0627041\pi\) | |||||||
\(858\) | 2139.01 | − | 4567.22i | 0.0851103 | − | 0.181728i | ||||
\(859\) | −18184.4 | − | 6618.60i | −0.722288 | − | 0.262891i | −0.0453912 | − | 0.998969i | \(-0.514453\pi\) |
−0.676897 | + | 0.736078i | \(0.736676\pi\) | |||||||
\(860\) | 7583.94 | + | 43010.7i | 0.300709 | + | 1.70541i | ||||
\(861\) | 2626.74 | + | 708.529i | 0.103971 | + | 0.0280449i | ||||
\(862\) | 39541.6 | + | 33179.4i | 1.56240 | + | 1.31101i | ||||
\(863\) | −11181.1 | −0.441030 | −0.220515 | − | 0.975384i | \(-0.570774\pi\) | ||||
−0.220515 | + | 0.975384i | \(0.570774\pi\) | |||||||
\(864\) | 15193.6 | + | 33013.0i | 0.598260 | + | 1.29991i | ||||
\(865\) | 49998.0 | 1.96530 | ||||||||
\(866\) | −26194.2 | − | 21979.6i | −1.02785 | − | 0.862466i | ||||
\(867\) | −4824.45 | − | 18126.0i | −0.188982 | − | 0.710023i | ||||
\(868\) | −175.251 | − | 993.897i | −0.00685300 | − | 0.0388653i | ||||
\(869\) | 35153.4 | + | 12794.8i | 1.37226 | + | 0.499463i | ||||
\(870\) | 16551.4 | + | 23722.0i | 0.644995 | + | 0.924425i | ||||
\(871\) | −118.070 | + | 669.609i | −0.00459318 | + | 0.0260492i | ||||
\(872\) | −1119.80 | + | 1939.55i | −0.0434877 | + | 0.0753229i | ||||
\(873\) | −3041.18 | − | 8443.09i | −0.117902 | − | 0.327326i | ||||
\(874\) | −32650.5 | − | 56552.3i | −1.26364 | − | 2.18869i | ||||
\(875\) | 1709.43 | − | 622.181i | 0.0660448 | − | 0.0240383i | ||||
\(876\) | −2161.85 | + | 1003.70i | −0.0833813 | + | 0.0387122i | ||||
\(877\) | 25367.3 | − | 21285.7i | 0.976729 | − | 0.819573i | −0.00686372 | − | 0.999976i | \(-0.502185\pi\) |
0.983593 | + | 0.180404i | \(0.0577404\pi\) | |||||||
\(878\) | −17001.4 | + | 14265.9i | −0.653497 | + | 0.548349i | ||||
\(879\) | 13933.0 | + | 9790.67i | 0.534640 | + | 0.375689i | ||||
\(880\) | −46665.2 | + | 16984.7i | −1.78760 | + | 0.650631i | ||||
\(881\) | 24719.6 | + | 42815.5i | 0.945316 | + | 1.63734i | 0.755118 | + | 0.655589i | \(0.227580\pi\) |
0.190198 | + | 0.981746i | \(0.439087\pi\) | |||||||
\(882\) | −31599.4 | + | 18103.7i | −1.20636 | + | 0.691136i | ||||
\(883\) | 1865.43 | − | 3231.03i | 0.0710950 | − | 0.123140i | −0.828286 | − | 0.560305i | \(-0.810684\pi\) |
0.899381 | + | 0.437165i | \(0.144017\pi\) | |||||||
\(884\) | −210.873 | + | 1195.92i | −0.00802312 | + | 0.0455014i | ||||
\(885\) | −272.782 | + | 23.4070i | −0.0103610 | + | 0.000889059i | ||||
\(886\) | −25120.7 | − | 9143.20i | −0.952537 | − | 0.346695i | ||||
\(887\) | −5429.94 | − | 30794.7i | −0.205546 | − | 1.16571i | −0.896578 | − | 0.442886i | \(-0.853955\pi\) |
0.691032 | − | 0.722824i | \(-0.257156\pi\) | |||||||
\(888\) | 1599.31 | − | 1593.98i | 0.0604383 | − | 0.0602371i | ||||
\(889\) | 6398.35 | + | 5368.85i | 0.241388 | + | 0.202548i | ||||
\(890\) | 44494.0 | 1.67578 | ||||||||
\(891\) | −44433.2 | + | 15837.5i | −1.67067 | + | 0.595484i | ||||
\(892\) | 25478.9 | 0.956386 | ||||||||
\(893\) | −16738.4 | − | 14045.2i | −0.627245 | − | 0.526321i | ||||
\(894\) | −1005.93 | + | 1002.58i | −0.0376322 | + | 0.0375069i | ||||
\(895\) | −5125.34 | − | 29067.3i | −0.191421 | − | 1.08560i | ||||
\(896\) | −2886.02 | − | 1050.42i | −0.107606 | − | 0.0391654i | ||||
\(897\) | −3909.90 | + | 335.502i | −0.145538 | + | 0.0124884i | ||||
\(898\) | −11241.8 | + | 63755.6i | −0.417756 | + | 2.36921i | ||||
\(899\) | 1110.14 | − | 1922.82i | 0.0411850 | − | 0.0713345i | ||||
\(900\) | 21149.2 | + | 12304.7i | 0.783304 | + | 0.455731i | ||||
\(901\) | −9253.95 | − | 16028.3i | −0.342168 | − | 0.592653i | ||||
\(902\) | 30355.1 | − | 11048.4i | 1.12053 | − | 0.407839i | ||||
\(903\) | 5827.33 | + | 4094.84i | 0.214752 | + | 0.150906i | ||||
\(904\) | 110.009 | − | 92.3087i | 0.00404740 | − | 0.00339617i | ||||
\(905\) | −21604.4 | + | 18128.2i | −0.793540 | + | 0.665859i | ||||
\(906\) | −2527.57 | + | 1173.50i | −0.0926852 | + | 0.0430318i | ||||
\(907\) | 6685.84 | − | 2433.45i | 0.244762 | − | 0.0890863i | −0.216726 | − | 0.976232i | \(-0.569538\pi\) |
0.461488 | + | 0.887146i | \(0.347316\pi\) | |||||||
\(908\) | 14253.9 | + | 24688.5i | 0.520962 | + | 0.902333i | ||||
\(909\) | −16748.7 | − | 3010.88i | −0.611131 | − | 0.109862i | ||||
\(910\) | −488.051 | + | 845.330i | −0.0177788 | + | 0.0307939i | ||||
\(911\) | −2953.77 | + | 16751.6i | −0.107423 | + | 0.609228i | 0.882801 | + | 0.469746i | \(0.155655\pi\) |
−0.990225 | + | 0.139481i | \(0.955456\pi\) | |||||||
\(912\) | −11455.0 | − | 16417.6i | −0.415913 | − | 0.596098i | ||||
\(913\) | 32365.2 | + | 11780.0i | 1.17320 | + | 0.427010i | ||||
\(914\) | −13147.6 | − | 74563.5i | −0.475802 | − | 2.69841i | ||||
\(915\) | −7192.37 | − | 27022.5i | −0.259861 | − | 0.976323i | ||||
\(916\) | −25663.4 | − | 21534.1i | −0.925700 | − | 0.776755i | ||||
\(917\) | 10160.3 | 0.365891 | ||||||||
\(918\) | 17335.4 | − | 12009.5i | 0.623259 | − | 0.431780i | ||||
\(919\) | −29056.8 | −1.04298 | −0.521488 | − | 0.853258i | \(-0.674623\pi\) | ||||
−0.521488 | + | 0.853258i | \(0.674623\pi\) | |||||||
\(920\) | −13335.3 | − | 11189.6i | −0.477881 | − | 0.400990i | ||||
\(921\) | −24870.3 | − | 6708.45i | −0.889798 | − | 0.240012i | ||||
\(922\) | 10835.9 | + | 61453.7i | 0.387053 | + | 2.19509i | ||||
\(923\) | 1649.95 | + | 600.533i | 0.0588394 | + | 0.0214158i | ||||
\(924\) | 5815.50 | − | 12417.3i | 0.207052 | − | 0.442097i | ||||
\(925\) | −1314.19 | + | 7453.13i | −0.0467137 | + | 0.264927i | ||||
\(926\) | −12132.2 | + | 21013.6i | −0.430549 | + | 0.745732i | ||||
\(927\) | −10047.9 | + | 27322.4i | −0.356003 | + | 0.968053i | ||||
\(928\) | −11619.9 | − | 20126.2i | −0.411036 | − | 0.711934i | ||||
\(929\) | 13697.0 | − | 4985.28i | 0.483727 | − | 0.176062i | −0.0886336 | − | 0.996064i | \(-0.528250\pi\) |
0.572361 | + | 0.820002i | \(0.306028\pi\) | |||||||
\(930\) | 708.655 | − | 7947.29i | 0.0249868 | − | 0.280217i | ||||
\(931\) | 18562.0 | − | 15575.4i | 0.653432 | − | 0.548294i | ||||
\(932\) | 33824.2 | − | 28381.9i | 1.18878 | − | 0.997509i | ||||
\(933\) | 1532.05 | − | 17181.3i | 0.0537589 | − | 0.602885i | ||||
\(934\) | −43371.9 | + | 15786.1i | −1.51946 | + | 0.553037i | ||||
\(935\) | 17404.0 | + | 30144.6i | 0.608739 | + | 1.05437i | ||||
\(936\) | 534.046 | − | 92.3311i | 0.0186494 | − | 0.00322429i | ||||
\(937\) | −25157.6 | + | 43574.2i | −0.877121 | + | 1.51922i | −0.0226353 | + | 0.999744i | \(0.507206\pi\) |
−0.854486 | + | 0.519475i | \(0.826128\pi\) | |||||||
\(938\) | −596.011 | + | 3380.15i | −0.0207467 | + | 0.117661i | ||||
\(939\) | 4056.79 | − | 8662.07i | 0.140989 | − | 0.301039i | ||||
\(940\) | −38195.3 | − | 13902.0i | −1.32531 | − | 0.482374i | ||||
\(941\) | −1923.73 | − | 10910.0i | −0.0666439 | − | 0.377957i | −0.999828 | − | 0.0185573i | \(-0.994093\pi\) |
0.933184 | − | 0.359399i | \(-0.117018\pi\) | |||||||
\(942\) | −31105.4 | − | 8390.29i | −1.07587 | − | 0.290202i | ||||
\(943\) | −19255.0 | − | 16156.9i | −0.664930 | − | 0.557943i | ||||
\(944\) | 182.113 | 0.00627890 | ||||||||
\(945\) | 8830.37 | − | 2318.80i | 0.303970 | − | 0.0798208i | ||||
\(946\) | 84565.3 | 2.90640 | ||||||||
\(947\) | 10266.5 | + | 8614.61i | 0.352287 | + | 0.295604i | 0.801708 | − | 0.597716i | \(-0.203925\pi\) |
−0.449420 | + | 0.893320i | \(0.648369\pi\) | |||||||
\(948\) | 7215.41 | + | 27109.0i | 0.247200 | + | 0.928756i | ||||
\(949\) | −30.7267 | − | 174.260i | −0.00105103 | − | 0.00596071i | ||||
\(950\) | −28404.4 | − | 10338.3i | −0.970062 | − | 0.353074i | ||||
\(951\) | 22224.6 | + | 31853.0i | 0.757816 | + | 1.08612i | ||||
\(952\) | −152.545 | + | 865.128i | −0.00519331 | + | 0.0294527i | ||||
\(953\) | −10756.1 | + | 18630.2i | −0.365609 | + | 0.633254i | −0.988874 | − | 0.148757i | \(-0.952473\pi\) |
0.623265 | + | 0.782011i | \(0.285806\pi\) | |||||||
\(954\) | −37196.7 | + | 44030.2i | −1.26236 | + | 1.49427i | ||||
\(955\) | −5068.24 | − | 8778.46i | −0.171732 | − | 0.297449i | ||||
\(956\) | 35259.9 | − | 12833.5i | 1.19287 | − | 0.434170i | ||||
\(957\) | 27360.2 | − | 12702.8i | 0.924170 | − | 0.429073i | ||||
\(958\) | 14512.4 | − | 12177.4i | 0.489432 | − | 0.410682i | ||||
\(959\) | −6147.18 | + | 5158.10i | −0.206990 | + | 0.173685i | ||||
\(960\) | −42228.4 | − | 29673.7i | −1.41970 | − | 0.997620i | ||||
\(961\) | 27418.9 | − | 9979.65i | 0.920374 | − | 0.334989i | ||||
\(962\) | 584.877 | + | 1013.04i | 0.0196021 | + | 0.0339518i | ||||
\(963\) | −48.7841 | + | 14626.1i | −0.00163244 | + | 0.489429i | ||||
\(964\) | 7551.14 | − | 13079.0i | 0.252288 | − | 0.436976i | ||||
\(965\) | 6101.59 | − | 34603.8i | 0.203541 | − | 1.15434i | ||||
\(966\) | −19736.9 | + | 1693.59i | −0.657376 | + | 0.0564084i | ||||
\(967\) | 22247.2 | + | 8097.30i | 0.739835 | + | 0.269278i | 0.684322 | − | 0.729180i | \(-0.260098\pi\) |
0.0555131 | + | 0.998458i | \(0.482321\pi\) | |||||||
\(968\) | −2763.48 | − | 15672.5i | −0.0917578 | − | 0.520384i | ||||
\(969\) | −9938.45 | + | 9905.35i | −0.329483 | + | 0.328386i | ||||
\(970\) | 15798.1 | + | 13256.2i | 0.522934 | + | 0.438794i | ||||
\(971\) | 4744.36 | 0.156801 | 0.0784005 | − | 0.996922i | \(-0.475019\pi\) | ||||
0.0784005 | + | 0.996922i | \(0.475019\pi\) | |||||||
\(972\) | −28805.8 | − | 20530.1i | −0.950562 | − | 0.677473i | ||||
\(973\) | 10122.6 | 0.333519 | ||||||||
\(974\) | −35373.3 | − | 29681.7i | −1.16369 | − | 0.976452i | ||||
\(975\) | −1286.61 | + | 1282.32i | −0.0422609 | + | 0.0421202i | ||||
\(976\) | 3229.92 | + | 18317.8i | 0.105929 | + | 0.600756i | ||||
\(977\) | −32489.1 | − | 11825.1i | −1.06389 | − | 0.387223i | −0.250000 | − | 0.968246i | \(-0.580431\pi\) |
−0.813888 | + | 0.581022i | \(0.802653\pi\) | |||||||
\(978\) | −58667.8 | + | 5034.19i | −1.91819 | + | 0.164597i | ||||
\(979\) | 8057.48 | − | 45696.2i | 0.263042 | − | 1.49178i | ||||
\(980\) | 22537.4 | − | 39036.0i | 0.734624 | − | 1.27241i | ||||
\(981\) | −36.1952 | + | 10851.8i | −0.00117801 | + | 0.353182i | ||||
\(982\) | 30723.2 | + | 53214.2i | 0.998389 | + | 1.72926i | ||||
\(983\) | −41626.1 | + | 15150.6i | −1.35063 | + | 0.491588i | −0.913143 | − | 0.407639i | \(-0.866352\pi\) |
−0.437483 | + | 0.899227i | \(0.644130\pi\) | |||||||
\(984\) | 2840.29 | + | 1995.86i | 0.0920173 | + | 0.0646602i | ||||
\(985\) | 16849.5 | − | 14138.4i | 0.545045 | − | 0.457347i | ||||
\(986\) | −10330.9 | + | 8668.65i | −0.333674 | + | 0.279986i | ||||
\(987\) | −6012.09 | + | 2791.29i | −0.193888 | + | 0.0900179i | ||||
\(988\) | −2364.57 | + | 860.632i | −0.0761406 | + | 0.0277129i | ||||
\(989\) | −32900.7 | − | 56985.7i | −1.05782 | − | 1.83220i | ||||
\(990\) | 69956.1 | − | 82807.9i | 2.24581 | − | 2.65839i | ||||
\(991\) | 19091.3 | − | 33067.2i | 0.611964 | − | 1.05995i | −0.378945 | − | 0.925419i | \(-0.623713\pi\) |
0.990909 | − | 0.134533i | \(-0.0429535\pi\) | |||||||
\(992\) | −1113.17 | + | 6313.09i | −0.0356281 | + | 0.202057i | ||||
\(993\) | 27553.8 | + | 39490.8i | 0.880556 | + | 1.26204i | ||||
\(994\) | 8328.85 | + | 3031.45i | 0.265770 | + | 0.0967323i | ||||
\(995\) | 10885.5 | + | 61735.0i | 0.346829 | + | 1.96697i | ||||
\(996\) | 6643.13 | + | 24958.9i | 0.211341 | + | 0.794029i | ||||
\(997\) | 20974.0 | + | 17599.2i | 0.666251 | + | 0.559051i | 0.911953 | − | 0.410295i | \(-0.134574\pi\) |
−0.245702 | + | 0.969345i | \(0.579019\pi\) | |||||||
\(998\) | 18260.3 | 0.579178 | ||||||||
\(999\) | 2884.58 | − | 10553.9i | 0.0913554 | − | 0.334245i |
(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 | 27.4.e.a.16.2 | ✓ | 48 | |
3.2 | odd | 2 | 81.4.e.a.46.7 | 48 | |||
9.2 | odd | 6 | 243.4.e.a.217.7 | 48 | |||
9.4 | even | 3 | 243.4.e.c.55.7 | 48 | |||
9.5 | odd | 6 | 243.4.e.b.55.2 | 48 | |||
9.7 | even | 3 | 243.4.e.d.217.2 | 48 | |||
27.4 | even | 9 | 243.4.e.d.28.2 | 48 | |||
27.5 | odd | 18 | 81.4.e.a.37.7 | 48 | |||
27.7 | even | 9 | 729.4.a.d.1.4 | 24 | |||
27.13 | even | 9 | 243.4.e.c.190.7 | 48 | |||
27.14 | odd | 18 | 243.4.e.b.190.2 | 48 | |||
27.20 | odd | 18 | 729.4.a.c.1.21 | 24 | |||
27.22 | even | 9 | inner | 27.4.e.a.22.2 | yes | 48 | |
27.23 | odd | 18 | 243.4.e.a.28.7 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.16.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
27.4.e.a.22.2 | yes | 48 | 27.22 | even | 9 | inner | |
81.4.e.a.37.7 | 48 | 27.5 | odd | 18 | |||
81.4.e.a.46.7 | 48 | 3.2 | odd | 2 | |||
243.4.e.a.28.7 | 48 | 27.23 | odd | 18 | |||
243.4.e.a.217.7 | 48 | 9.2 | odd | 6 | |||
243.4.e.b.55.2 | 48 | 9.5 | odd | 6 | |||
243.4.e.b.190.2 | 48 | 27.14 | odd | 18 | |||
243.4.e.c.55.7 | 48 | 9.4 | even | 3 | |||
243.4.e.c.190.7 | 48 | 27.13 | even | 9 | |||
243.4.e.d.28.2 | 48 | 27.4 | even | 9 | |||
243.4.e.d.217.2 | 48 | 9.7 | even | 3 | |||
729.4.a.c.1.21 | 24 | 27.20 | odd | 18 | |||
729.4.a.d.1.4 | 24 | 27.7 | even | 9 |