Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,4,Mod(74,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.74");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.k (of order \(6\), degree \(2\), not 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: | \(10.3253342510\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 35) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 149.1 | ||
Root | \(-0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 175.149 |
Dual form | 175.4.k.b.74.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.59808 | − | 1.50000i | −0.918559 | − | 0.530330i | −0.0353837 | − | 0.999374i | \(-0.511265\pi\) |
−0.883175 | + | 0.469044i | \(0.844599\pi\) | |||||||
\(3\) | 1.73205 | − | 1.00000i | 0.333333 | − | 0.192450i | −0.323987 | − | 0.946062i | \(-0.605023\pi\) |
0.657320 | + | 0.753612i | \(0.271690\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −6.00000 | −0.408248 | ||||||||
\(7\) | −12.1244 | − | 14.0000i | −0.654654 | − | 0.755929i | ||||
\(8\) | 21.0000i | 0.928078i | ||||||||
\(9\) | −11.5000 | + | 19.9186i | −0.425926 | + | 0.737725i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 22.5000 | + | 38.9711i | 0.616728 | + | 1.06820i | 0.990079 | + | 0.140514i | \(0.0448754\pi\) |
−0.373351 | + | 0.927690i | \(0.621791\pi\) | |||||||
\(12\) | 1.73205 | + | 1.00000i | 0.0416667 | + | 0.0240563i | ||||
\(13\) | − | 59.0000i | − | 1.25874i | −0.777105 | − | 0.629371i | \(-0.783312\pi\) | ||
0.777105 | − | 0.629371i | \(-0.216688\pi\) | |||||||
\(14\) | 10.5000 | + | 54.5596i | 0.200446 | + | 1.04155i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 35.5000 | − | 61.4878i | 0.554688 | − | 0.960747i | ||||
\(17\) | −46.7654 | + | 27.0000i | −0.667192 | + | 0.385204i | −0.795012 | − | 0.606594i | \(-0.792535\pi\) |
0.127820 | + | 0.991797i | \(0.459202\pi\) | |||||||
\(18\) | 59.7558 | − | 34.5000i | 0.782476 | − | 0.451763i | ||||
\(19\) | −60.5000 | + | 104.789i | −0.730508 | + | 1.26528i | 0.226158 | + | 0.974091i | \(0.427383\pi\) |
−0.956666 | + | 0.291186i | \(0.905950\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −35.0000 | − | 12.1244i | −0.363696 | − | 0.125988i | ||||
\(22\) | − | 135.000i | − | 1.30828i | ||||||
\(23\) | 59.7558 | + | 34.5000i | 0.541736 | + | 0.312772i | 0.745782 | − | 0.666190i | \(-0.232076\pi\) |
−0.204046 | + | 0.978961i | \(0.565409\pi\) | |||||||
\(24\) | 21.0000 | + | 36.3731i | 0.178609 | + | 0.309359i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −88.5000 | + | 153.286i | −0.667549 | + | 1.15623i | ||||
\(27\) | 100.000i | 0.712778i | ||||||||
\(28\) | 6.06218 | − | 17.5000i | 0.0409159 | − | 0.118114i | ||||
\(29\) | 162.000 | 1.03733 | 0.518666 | − | 0.854977i | \(-0.326429\pi\) | ||||
0.518666 | + | 0.854977i | \(0.326429\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 44.0000 | + | 76.2102i | 0.254924 | + | 0.441541i | 0.964875 | − | 0.262710i | \(-0.0846163\pi\) |
−0.709951 | + | 0.704251i | \(0.751283\pi\) | |||||||
\(32\) | −38.9711 | + | 22.5000i | −0.215287 | + | 0.124296i | ||||
\(33\) | 77.9423 | + | 45.0000i | 0.411152 | + | 0.237379i | ||||
\(34\) | 162.000 | 0.817140 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −23.0000 | −0.106481 | ||||||||
\(37\) | 224.301 | + | 129.500i | 0.996616 | + | 0.575396i | 0.907245 | − | 0.420602i | \(-0.138181\pi\) |
0.0893706 | + | 0.995998i | \(0.471514\pi\) | |||||||
\(38\) | 314.367 | − | 181.500i | 1.34203 | − | 0.774821i | ||||
\(39\) | −59.0000 | − | 102.191i | −0.242245 | − | 0.419581i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 195.000 | 0.742778 | 0.371389 | − | 0.928477i | \(-0.378882\pi\) | ||||
0.371389 | + | 0.928477i | \(0.378882\pi\) | |||||||
\(42\) | 72.7461 | + | 84.0000i | 0.267261 | + | 0.308607i | ||||
\(43\) | 286.000i | 1.01429i | 0.861860 | + | 0.507146i | \(0.169300\pi\) | ||||
−0.861860 | + | 0.507146i | \(0.830700\pi\) | |||||||
\(44\) | −22.5000 | + | 38.9711i | −0.0770910 | + | 0.133525i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −103.500 | − | 179.267i | −0.331744 | − | 0.574598i | ||||
\(47\) | −38.9711 | − | 22.5000i | −0.120947 | − | 0.0698290i | 0.438306 | − | 0.898826i | \(-0.355579\pi\) |
−0.559253 | + | 0.828997i | \(0.688912\pi\) | |||||||
\(48\) | − | 142.000i | − | 0.426999i | ||||||
\(49\) | −49.0000 | + | 339.482i | −0.142857 | + | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −54.0000 | + | 93.5307i | −0.148265 | + | 0.256802i | ||||
\(52\) | 51.0955 | − | 29.5000i | 0.136263 | − | 0.0786714i | ||||
\(53\) | −517.017 | + | 298.500i | −1.33996 | + | 0.773625i | −0.986801 | − | 0.161939i | \(-0.948225\pi\) |
−0.353157 | + | 0.935564i | \(0.614892\pi\) | |||||||
\(54\) | 150.000 | − | 259.808i | 0.378008 | − | 0.654729i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 294.000 | − | 254.611i | 0.701561 | − | 0.607569i | ||||
\(57\) | 242.000i | 0.562345i | ||||||||
\(58\) | −420.888 | − | 243.000i | −0.952851 | − | 0.550129i | ||||
\(59\) | −180.000 | − | 311.769i | −0.397187 | − | 0.687947i | 0.596191 | − | 0.802843i | \(-0.296680\pi\) |
−0.993378 | + | 0.114895i | \(0.963347\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −196.000 | + | 339.482i | −0.411397 | + | 0.712561i | −0.995043 | − | 0.0994477i | \(-0.968292\pi\) |
0.583646 | + | 0.812009i | \(0.301626\pi\) | |||||||
\(62\) | − | 264.000i | − | 0.540775i | ||||||
\(63\) | 418.290 | − | 80.5000i | 0.836502 | − | 0.160985i | ||||
\(64\) | −433.000 | −0.845703 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −135.000 | − | 233.827i | −0.251778 | − | 0.436092i | ||||
\(67\) | −242.487 | + | 140.000i | −0.442157 | + | 0.255279i | −0.704512 | − | 0.709692i | \(-0.748834\pi\) |
0.262355 | + | 0.964971i | \(0.415501\pi\) | |||||||
\(68\) | −46.7654 | − | 27.0000i | −0.0833990 | − | 0.0481505i | ||||
\(69\) | 138.000 | 0.240772 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 48.0000 | 0.0802331 | 0.0401166 | − | 0.999195i | \(-0.487227\pi\) | ||||
0.0401166 | + | 0.999195i | \(0.487227\pi\) | |||||||
\(72\) | −418.290 | − | 241.500i | −0.684666 | − | 0.395292i | ||||
\(73\) | −578.505 | + | 334.000i | −0.927519 | + | 0.535503i | −0.886026 | − | 0.463635i | \(-0.846545\pi\) |
−0.0414929 | + | 0.999139i | \(0.513211\pi\) | |||||||
\(74\) | −388.500 | − | 672.902i | −0.610300 | − | 1.05707i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −121.000 | −0.182627 | ||||||||
\(77\) | 272.798 | − | 787.500i | 0.403743 | − | 1.16551i | ||||
\(78\) | 354.000i | 0.513880i | ||||||||
\(79\) | 391.000 | − | 677.232i | 0.556847 | − | 0.964488i | −0.440910 | − | 0.897551i | \(-0.645344\pi\) |
0.997757 | − | 0.0669365i | \(-0.0213225\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −210.500 | − | 364.597i | −0.288752 | − | 0.500133i | ||||
\(82\) | −506.625 | − | 292.500i | −0.682285 | − | 0.393917i | ||||
\(83\) | − | 768.000i | − | 1.01565i | −0.861460 | − | 0.507825i | \(-0.830450\pi\) | ||
0.861460 | − | 0.507825i | \(-0.169550\pi\) | |||||||
\(84\) | −7.00000 | − | 36.3731i | −0.00909241 | − | 0.0472456i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 429.000 | − | 743.050i | 0.537910 | − | 0.931687i | ||||
\(87\) | 280.592 | − | 162.000i | 0.345778 | − | 0.199635i | ||||
\(88\) | −818.394 | + | 472.500i | −0.991376 | + | 0.572371i | ||||
\(89\) | −597.000 | + | 1034.03i | −0.711032 | + | 1.23154i | 0.253438 | + | 0.967352i | \(0.418439\pi\) |
−0.964470 | + | 0.264192i | \(0.914895\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −826.000 | + | 715.337i | −0.951520 | + | 0.824041i | ||||
\(92\) | 69.0000i | 0.0781929i | ||||||||
\(93\) | 152.420 | + | 88.0000i | 0.169949 | + | 0.0981202i | ||||
\(94\) | 67.5000 | + | 116.913i | 0.0740648 | + | 0.128284i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −45.0000 | + | 77.9423i | −0.0478416 | + | 0.0828641i | ||||
\(97\) | 902.000i | 0.944167i | 0.881554 | + | 0.472084i | \(0.156498\pi\) | ||||
−0.881554 | + | 0.472084i | \(0.843502\pi\) | |||||||
\(98\) | 636.529 | − | 808.500i | 0.656113 | − | 0.833376i | ||||
\(99\) | −1035.00 | −1.05072 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −342.000 | − | 592.361i | −0.336933 | − | 0.583586i | 0.646921 | − | 0.762557i | \(-0.276056\pi\) |
−0.983854 | + | 0.178971i | \(0.942723\pi\) | |||||||
\(102\) | 280.592 | − | 162.000i | 0.272380 | − | 0.157259i | ||||
\(103\) | −1312.89 | − | 758.000i | −1.25595 | − | 0.725126i | −0.283669 | − | 0.958922i | \(-0.591552\pi\) |
−0.972286 | + | 0.233796i | \(0.924885\pi\) | |||||||
\(104\) | 1239.00 | 1.16821 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1791.00 | 1.64111 | ||||||||
\(107\) | 633.931 | + | 366.000i | 0.572751 | + | 0.330678i | 0.758247 | − | 0.651967i | \(-0.226056\pi\) |
−0.185496 | + | 0.982645i | \(0.559389\pi\) | |||||||
\(108\) | −86.6025 | + | 50.0000i | −0.0771605 | + | 0.0445486i | ||||
\(109\) | −800.000 | − | 1385.64i | −0.702992 | − | 1.21762i | −0.967411 | − | 0.253210i | \(-0.918514\pi\) |
0.264420 | − | 0.964408i | \(-0.414820\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 518.000 | 0.442940 | ||||||||
\(112\) | −1291.24 | + | 248.500i | −1.08938 | + | 0.209652i | ||||
\(113\) | 1392.00i | 1.15883i | 0.815031 | + | 0.579417i | \(0.196720\pi\) | ||||
−0.815031 | + | 0.579417i | \(0.803280\pi\) | |||||||
\(114\) | 363.000 | − | 628.734i | 0.298229 | − | 0.516547i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 81.0000 | + | 140.296i | 0.0648333 | + | 0.112295i | ||||
\(117\) | 1175.20 | + | 678.500i | 0.928606 | + | 0.536131i | ||||
\(118\) | 1080.00i | 0.842560i | ||||||||
\(119\) | 945.000 | + | 327.358i | 0.727966 | + | 0.252175i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −347.000 | + | 601.022i | −0.260706 | + | 0.451556i | ||||
\(122\) | 1018.45 | − | 588.000i | 0.755785 | − | 0.436353i | ||||
\(123\) | 337.750 | − | 195.000i | 0.247593 | − | 0.142948i | ||||
\(124\) | −44.0000 | + | 76.2102i | −0.0318655 | + | 0.0551926i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −1207.50 | − | 418.290i | −0.853751 | − | 0.295748i | ||||
\(127\) | 803.000i | 0.561061i | 0.959845 | + | 0.280530i | \(0.0905104\pi\) | ||||
−0.959845 | + | 0.280530i | \(0.909490\pi\) | |||||||
\(128\) | 1436.74 | + | 829.500i | 0.992115 | + | 0.572798i | ||||
\(129\) | 286.000 | + | 495.367i | 0.195201 | + | 0.338098i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1009.50 | + | 1748.51i | −0.673286 | + | 1.16617i | 0.303681 | + | 0.952774i | \(0.401784\pi\) |
−0.976967 | + | 0.213391i | \(0.931549\pi\) | |||||||
\(132\) | 90.0000i | 0.0593447i | ||||||||
\(133\) | 2200.57 | − | 423.500i | 1.43469 | − | 0.276106i | ||||
\(134\) | 840.000 | 0.541529 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −567.000 | − | 982.073i | −0.357499 | − | 0.619206i | ||||
\(137\) | 51.9615 | − | 30.0000i | 0.0324042 | − | 0.0187086i | −0.483710 | − | 0.875228i | \(-0.660711\pi\) |
0.516115 | + | 0.856520i | \(0.327378\pi\) | |||||||
\(138\) | −358.535 | − | 207.000i | −0.221163 | − | 0.127688i | ||||
\(139\) | 1708.00 | 1.04224 | 0.521118 | − | 0.853485i | \(-0.325515\pi\) | ||||
0.521118 | + | 0.853485i | \(0.325515\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −90.0000 | −0.0537544 | ||||||||
\(142\) | −124.708 | − | 72.0000i | −0.0736988 | − | 0.0425500i | ||||
\(143\) | 2299.30 | − | 1327.50i | 1.34459 | − | 0.776302i | ||||
\(144\) | 816.500 | + | 1414.22i | 0.472512 | + | 0.818414i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 2004.00 | 1.13597 | ||||||||
\(147\) | 254.611 | + | 637.000i | 0.142857 | + | 0.357407i | ||||
\(148\) | 259.000i | 0.143849i | ||||||||
\(149\) | −543.000 | + | 940.504i | −0.298552 | + | 0.517108i | −0.975805 | − | 0.218643i | \(-0.929837\pi\) |
0.677253 | + | 0.735751i | \(0.263170\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1433.00 | + | 2482.03i | 0.772291 | + | 1.33765i | 0.936305 | + | 0.351189i | \(0.114222\pi\) |
−0.164014 | + | 0.986458i | \(0.552444\pi\) | |||||||
\(152\) | −2200.57 | − | 1270.50i | −1.17428 | − | 0.677968i | ||||
\(153\) | − | 1242.00i | − | 0.656273i | ||||||
\(154\) | −1890.00 | + | 1636.79i | −0.988965 | + | 0.856468i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 59.0000 | − | 102.191i | 0.0302806 | − | 0.0524476i | ||||
\(157\) | −198.320 | + | 114.500i | −0.100813 | + | 0.0582044i | −0.549559 | − | 0.835455i | \(-0.685204\pi\) |
0.448746 | + | 0.893659i | \(0.351871\pi\) | |||||||
\(158\) | −2031.70 | + | 1173.00i | −1.02299 | + | 0.590626i | ||||
\(159\) | −597.000 | + | 1034.03i | −0.297768 | + | 0.515750i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −241.500 | − | 1254.87i | −0.118217 | − | 0.614271i | ||||
\(162\) | 1263.00i | 0.612535i | ||||||||
\(163\) | −1063.48 | − | 614.000i | −0.511031 | − | 0.295044i | 0.222226 | − | 0.974995i | \(-0.428668\pi\) |
−0.733258 | + | 0.679951i | \(0.762001\pi\) | |||||||
\(164\) | 97.5000 | + | 168.875i | 0.0464236 | + | 0.0804080i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1152.00 | + | 1995.32i | −0.538630 | + | 0.932934i | ||||
\(167\) | − | 1929.00i | − | 0.893835i | −0.894575 | − | 0.446918i | \(-0.852522\pi\) | ||
0.894575 | − | 0.446918i | \(-0.147478\pi\) | |||||||
\(168\) | 254.611 | − | 735.000i | 0.116927 | − | 0.337539i | ||||
\(169\) | −1284.00 | −0.584433 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1391.50 | − | 2410.15i | −0.622285 | − | 1.07783i | ||||
\(172\) | −247.683 | + | 143.000i | −0.109800 | + | 0.0633933i | ||||
\(173\) | −605.352 | − | 349.500i | −0.266035 | − | 0.153595i | 0.361049 | − | 0.932547i | \(-0.382419\pi\) |
−0.627084 | + | 0.778951i | \(0.715752\pi\) | |||||||
\(174\) | −972.000 | −0.423489 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3195.00 | 1.36836 | ||||||||
\(177\) | −623.538 | − | 360.000i | −0.264791 | − | 0.152877i | ||||
\(178\) | 3102.10 | − | 1791.00i | 1.30625 | − | 0.754164i | ||||
\(179\) | 1558.50 | + | 2699.40i | 0.650770 | + | 1.12717i | 0.982936 | + | 0.183945i | \(0.0588870\pi\) |
−0.332167 | + | 0.943221i | \(0.607780\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1798.00 | −0.738366 | −0.369183 | − | 0.929357i | \(-0.620362\pi\) | ||||
−0.369183 | + | 0.929357i | \(0.620362\pi\) | |||||||
\(182\) | 3219.02 | − | 619.500i | 1.31104 | − | 0.252310i | ||||
\(183\) | 784.000i | 0.316694i | ||||||||
\(184\) | −724.500 | + | 1254.87i | −0.290276 | + | 0.502773i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −264.000 | − | 457.261i | −0.104072 | − | 0.180258i | ||||
\(187\) | −2104.44 | − | 1215.00i | −0.822952 | − | 0.475132i | ||||
\(188\) | − | 45.0000i | − | 0.0174572i | ||||||
\(189\) | 1400.00 | − | 1212.44i | 0.538810 | − | 0.466623i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1194.00 | − | 2068.07i | 0.452329 | − | 0.783457i | −0.546201 | − | 0.837654i | \(-0.683927\pi\) |
0.998530 | + | 0.0541974i | \(0.0172600\pi\) | |||||||
\(192\) | −749.978 | + | 433.000i | −0.281901 | + | 0.162756i | ||||
\(193\) | −235.559 | + | 136.000i | −0.0878544 | + | 0.0507228i | −0.543284 | − | 0.839549i | \(-0.682819\pi\) |
0.455429 | + | 0.890272i | \(0.349486\pi\) | |||||||
\(194\) | 1353.00 | − | 2343.46i | 0.500720 | − | 0.867273i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −318.500 | + | 127.306i | −0.116071 | + | 0.0463942i | ||||
\(197\) | − | 2109.00i | − | 0.762741i | −0.924422 | − | 0.381371i | \(-0.875452\pi\) | ||
0.924422 | − | 0.381371i | \(-0.124548\pi\) | |||||||
\(198\) | 2689.01 | + | 1552.50i | 0.965149 | + | 0.557229i | ||||
\(199\) | 712.000 | + | 1233.22i | 0.253630 | + | 0.439300i | 0.964522 | − | 0.264001i | \(-0.0850422\pi\) |
−0.710893 | + | 0.703301i | \(0.751709\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −280.000 | + | 484.974i | −0.0982571 | + | 0.170186i | ||||
\(202\) | 2052.00i | 0.714744i | ||||||||
\(203\) | −1964.15 | − | 2268.00i | −0.679094 | − | 0.784150i | ||||
\(204\) | −108.000 | −0.0370662 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 2274.00 | + | 3938.68i | 0.769112 | + | 1.33214i | ||||
\(207\) | −1374.38 | + | 793.500i | −0.461479 | + | 0.266435i | ||||
\(208\) | −3627.78 | − | 2094.50i | −1.20933 | − | 0.698209i | ||||
\(209\) | −5445.00 | −1.80210 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3625.00 | −1.18273 | −0.591363 | − | 0.806405i | \(-0.701410\pi\) | ||||
−0.591363 | + | 0.806405i | \(0.701410\pi\) | |||||||
\(212\) | −517.017 | − | 298.500i | −0.167495 | − | 0.0967031i | ||||
\(213\) | 83.1384 | − | 48.0000i | 0.0267444 | − | 0.0154409i | ||||
\(214\) | −1098.00 | − | 1901.79i | −0.350737 | − | 0.607494i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2100.00 | −0.661513 | ||||||||
\(217\) | 533.472 | − | 1540.00i | 0.166887 | − | 0.481760i | ||||
\(218\) | 4800.00i | 1.49127i | ||||||||
\(219\) | −668.000 | + | 1157.01i | −0.206115 | + | 0.357002i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1593.00 | + | 2759.16i | 0.484872 | + | 0.839823i | ||||
\(222\) | −1345.80 | − | 777.000i | −0.406867 | − | 0.234905i | ||||
\(223\) | 4960.00i | 1.48944i | 0.667374 | + | 0.744722i | \(0.267418\pi\) | ||||
−0.667374 | + | 0.744722i | \(0.732582\pi\) | |||||||
\(224\) | 787.500 | + | 272.798i | 0.234898 | + | 0.0813709i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2088.00 | − | 3616.52i | 0.614565 | − | 1.06446i | ||||
\(227\) | −1299.04 | + | 750.000i | −0.379825 | + | 0.219292i | −0.677742 | − | 0.735300i | \(-0.737041\pi\) |
0.297917 | + | 0.954592i | \(0.403708\pi\) | |||||||
\(228\) | −209.578 | + | 121.000i | −0.0608757 | + | 0.0351466i | ||||
\(229\) | 3046.00 | − | 5275.83i | 0.878975 | − | 1.52243i | 0.0265085 | − | 0.999649i | \(-0.491561\pi\) |
0.852467 | − | 0.522781i | \(-0.175106\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −315.000 | − | 1636.79i | −0.0897207 | − | 0.466202i | ||||
\(232\) | 3402.00i | 0.962725i | ||||||||
\(233\) | 119.512 | + | 69.0000i | 0.0336028 | + | 0.0194006i | 0.516707 | − | 0.856162i | \(-0.327158\pi\) |
−0.483104 | + | 0.875563i | \(0.660491\pi\) | |||||||
\(234\) | −2035.50 | − | 3525.59i | −0.568653 | − | 0.984936i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 180.000 | − | 311.769i | 0.0496483 | − | 0.0859934i | ||||
\(237\) | − | 1564.00i | − | 0.428661i | ||||||
\(238\) | −1964.15 | − | 2268.00i | −0.534944 | − | 0.617700i | ||||
\(239\) | 5502.00 | 1.48910 | 0.744550 | − | 0.667567i | \(-0.232664\pi\) | ||||
0.744550 | + | 0.667567i | \(0.232664\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1775.50 | − | 3075.26i | −0.474564 | − | 0.821970i | 0.525011 | − | 0.851095i | \(-0.324061\pi\) |
−0.999576 | + | 0.0291256i | \(0.990728\pi\) | |||||||
\(242\) | 1803.06 | − | 1041.00i | 0.478948 | − | 0.276521i | ||||
\(243\) | −3067.46 | − | 1771.00i | −0.809785 | − | 0.467530i | ||||
\(244\) | −392.000 | −0.102849 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1170.00 | −0.303238 | ||||||||
\(247\) | 6182.56 | + | 3569.50i | 1.59266 | + | 0.919522i | ||||
\(248\) | −1600.41 | + | 924.000i | −0.409784 | + | 0.236589i | ||||
\(249\) | −768.000 | − | 1330.22i | −0.195462 | − | 0.338550i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 7065.00 | 1.77665 | 0.888324 | − | 0.459216i | \(-0.151870\pi\) | ||||
0.888324 | + | 0.459216i | \(0.151870\pi\) | |||||||
\(252\) | 278.860 | + | 322.000i | 0.0697085 | + | 0.0804924i | ||||
\(253\) | 3105.00i | 0.771580i | ||||||||
\(254\) | 1204.50 | − | 2086.26i | 0.297547 | − | 0.515367i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −756.500 | − | 1310.30i | −0.184692 | − | 0.319897i | ||||
\(257\) | 3533.38 | + | 2040.00i | 0.857613 | + | 0.495143i | 0.863212 | − | 0.504842i | \(-0.168449\pi\) |
−0.00559954 | + | 0.999984i | \(0.501782\pi\) | |||||||
\(258\) | − | 1716.00i | − | 0.414083i | ||||||
\(259\) | −906.500 | − | 4710.31i | −0.217479 | − | 1.13006i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1863.00 | + | 3226.81i | −0.441827 | + | 0.765267i | ||||
\(262\) | 5245.52 | − | 3028.50i | 1.23690 | − | 0.714127i | ||||
\(263\) | 2847.49 | − | 1644.00i | 0.667619 | − | 0.385450i | −0.127555 | − | 0.991832i | \(-0.540713\pi\) |
0.795174 | + | 0.606381i | \(0.207380\pi\) | |||||||
\(264\) | −945.000 | + | 1636.79i | −0.220306 | + | 0.381581i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −6352.50 | − | 2200.57i | −1.46427 | − | 0.507239i | ||||
\(267\) | 2388.00i | 0.547353i | ||||||||
\(268\) | −242.487 | − | 140.000i | −0.0552696 | − | 0.0319099i | ||||
\(269\) | −1632.00 | − | 2826.71i | −0.369906 | − | 0.640697i | 0.619644 | − | 0.784883i | \(-0.287277\pi\) |
−0.989551 | + | 0.144186i | \(0.953944\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1376.00 | − | 2383.30i | 0.308436 | − | 0.534226i | −0.669585 | − | 0.742736i | \(-0.733528\pi\) |
0.978020 | + | 0.208510i | \(0.0668612\pi\) | |||||||
\(272\) | 3834.00i | 0.854671i | ||||||||
\(273\) | −715.337 | + | 2065.00i | −0.158587 | + | 0.457800i | ||||
\(274\) | −180.000 | −0.0396869 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 69.0000 | + | 119.512i | 0.0150482 | + | 0.0260643i | ||||
\(277\) | −4061.66 | + | 2345.00i | −0.881016 | + | 0.508655i | −0.870993 | − | 0.491295i | \(-0.836524\pi\) |
−0.0100228 | + | 0.999950i | \(0.503190\pi\) | |||||||
\(278\) | −4437.51 | − | 2562.00i | −0.957354 | − | 0.552729i | ||||
\(279\) | −2024.00 | −0.434314 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7821.00 | 1.66036 | 0.830181 | − | 0.557494i | \(-0.188237\pi\) | ||||
0.830181 | + | 0.557494i | \(0.188237\pi\) | |||||||
\(282\) | 233.827 | + | 135.000i | 0.0493765 | + | 0.0285076i | ||||
\(283\) | 569.845 | − | 329.000i | 0.119695 | − | 0.0691061i | −0.438957 | − | 0.898508i | \(-0.644652\pi\) |
0.558652 | + | 0.829402i | \(0.311319\pi\) | |||||||
\(284\) | 24.0000 | + | 41.5692i | 0.00501457 | + | 0.00868549i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7965.00 | −1.64678 | ||||||||
\(287\) | −2364.25 | − | 2730.00i | −0.486262 | − | 0.561487i | ||||
\(288\) | − | 1035.00i | − | 0.211764i | ||||||
\(289\) | −998.500 | + | 1729.45i | −0.203236 | + | 0.352016i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 902.000 | + | 1562.31i | 0.181705 | + | 0.314722i | ||||
\(292\) | −578.505 | − | 334.000i | −0.115940 | − | 0.0669379i | ||||
\(293\) | 5997.00i | 1.19573i | 0.801597 | + | 0.597864i | \(0.203984\pi\) | ||||
−0.801597 | + | 0.597864i | \(0.796016\pi\) | |||||||
\(294\) | 294.000 | − | 2036.89i | 0.0583212 | − | 0.404061i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2719.50 | + | 4710.31i | −0.534013 | + | 0.924937i | ||||
\(297\) | −3897.11 | + | 2250.00i | −0.761392 | + | 0.439590i | ||||
\(298\) | 2821.51 | − | 1629.00i | 0.548476 | − | 0.316663i | ||||
\(299\) | 2035.50 | − | 3525.59i | 0.393699 | − | 0.681907i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4004.00 | − | 3467.57i | 0.766733 | − | 0.664011i | ||||
\(302\) | − | 8598.00i | − | 1.63828i | ||||||
\(303\) | −1184.72 | − | 684.000i | −0.224622 | − | 0.129686i | ||||
\(304\) | 4295.50 | + | 7440.02i | 0.810407 | + | 1.40367i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1863.00 | + | 3226.81i | −0.348041 | + | 0.602825i | ||||
\(307\) | − | 6226.00i | − | 1.15745i | −0.815523 | − | 0.578724i | \(-0.803551\pi\) | ||
0.815523 | − | 0.578724i | \(-0.196449\pi\) | |||||||
\(308\) | 818.394 | − | 157.500i | 0.151404 | − | 0.0291376i | ||||
\(309\) | −3032.00 | −0.558202 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2340.00 | − | 4053.00i | −0.426653 | − | 0.738985i | 0.569920 | − | 0.821700i | \(-0.306974\pi\) |
−0.996573 | + | 0.0827149i | \(0.973641\pi\) | |||||||
\(312\) | 2146.01 | − | 1239.00i | 0.389404 | − | 0.224822i | ||||
\(313\) | 890.274 | + | 514.000i | 0.160771 | + | 0.0928211i | 0.578227 | − | 0.815876i | \(-0.303745\pi\) |
−0.417456 | + | 0.908697i | \(0.637078\pi\) | |||||||
\(314\) | 687.000 | 0.123470 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 782.000 | 0.139212 | ||||||||
\(317\) | −7466.87 | − | 4311.00i | −1.32297 | − | 0.763817i | −0.338768 | − | 0.940870i | \(-0.610010\pi\) |
−0.984201 | + | 0.177053i | \(0.943344\pi\) | |||||||
\(318\) | 3102.10 | − | 1791.00i | 0.547036 | − | 0.315831i | ||||
\(319\) | 3645.00 | + | 6313.33i | 0.639752 | + | 1.10808i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1464.00 | 0.254556 | ||||||||
\(322\) | −1254.87 | + | 3622.50i | −0.217178 | + | 0.626938i | ||||
\(323\) | − | 6534.00i | − | 1.12558i | ||||||
\(324\) | 210.500 | − | 364.597i | 0.0360940 | − | 0.0625166i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 1842.00 | + | 3190.44i | 0.312942 | + | 0.542031i | ||||
\(327\) | −2771.28 | − | 1600.00i | −0.468661 | − | 0.270582i | ||||
\(328\) | 4095.00i | 0.689355i | ||||||||
\(329\) | 157.500 | + | 818.394i | 0.0263929 | + | 0.137141i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 999.500 | − | 1731.18i | 0.165974 | − | 0.287476i | −0.771027 | − | 0.636803i | \(-0.780256\pi\) |
0.937001 | + | 0.349327i | \(0.113590\pi\) | |||||||
\(332\) | 665.108 | − | 384.000i | 0.109947 | − | 0.0634781i | ||||
\(333\) | −5158.91 | + | 2978.50i | −0.848969 | + | 0.490153i | ||||
\(334\) | −2893.50 | + | 5011.69i | −0.474028 | + | 0.821040i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1988.00 | + | 1721.66i | −0.322781 | + | 0.279536i | ||||
\(337\) | 5114.00i | 0.826639i | 0.910586 | + | 0.413319i | \(0.135631\pi\) | ||||
−0.910586 | + | 0.413319i | \(0.864369\pi\) | |||||||
\(338\) | 3335.93 | + | 1926.00i | 0.536836 | + | 0.309943i | ||||
\(339\) | 1392.00 | + | 2411.01i | 0.223018 | + | 0.386278i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1980.00 | + | 3429.46i | −0.314437 | + | 0.544621i | ||||
\(342\) | 8349.00i | 1.32006i | ||||||||
\(343\) | 5346.84 | − | 3430.00i | 0.841698 | − | 0.539949i | ||||
\(344\) | −6006.00 | −0.941342 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1048.50 | + | 1816.06i | 0.162912 | + | 0.282173i | ||||
\(347\) | 3741.23 | − | 2160.00i | 0.578789 | − | 0.334164i | −0.181863 | − | 0.983324i | \(-0.558213\pi\) |
0.760652 | + | 0.649160i | \(0.224879\pi\) | |||||||
\(348\) | 280.592 | + | 162.000i | 0.0432222 | + | 0.0249543i | ||||
\(349\) | −7922.00 | −1.21506 | −0.607529 | − | 0.794298i | \(-0.707839\pi\) | ||||
−0.607529 | + | 0.794298i | \(0.707839\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5900.00 | 0.897204 | ||||||||
\(352\) | −1753.70 | − | 1012.50i | −0.265547 | − | 0.153314i | ||||
\(353\) | −717.069 | + | 414.000i | −0.108118 | + | 0.0624221i | −0.553084 | − | 0.833125i | \(-0.686549\pi\) |
0.444966 | + | 0.895548i | \(0.353216\pi\) | |||||||
\(354\) | 1080.00 | + | 1870.61i | 0.162151 | + | 0.280853i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −1194.00 | −0.177758 | ||||||||
\(357\) | 1964.15 | − | 378.000i | 0.291187 | − | 0.0560389i | ||||
\(358\) | − | 9351.00i | − | 1.38049i | ||||||
\(359\) | −675.000 | + | 1169.13i | −0.0992344 | + | 0.171879i | −0.911368 | − | 0.411593i | \(-0.864973\pi\) |
0.812134 | + | 0.583472i | \(0.198306\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3891.00 | − | 6739.41i | −0.567284 | − | 0.982564i | ||||
\(362\) | 4671.34 | + | 2697.00i | 0.678233 | + | 0.391578i | ||||
\(363\) | 1388.00i | 0.200692i | ||||||||
\(364\) | −1032.50 | − | 357.668i | −0.148675 | − | 0.0515025i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1176.00 | − | 2036.89i | 0.167952 | − | 0.290902i | ||||
\(367\) | 2425.74 | − | 1400.50i | 0.345020 | − | 0.199198i | −0.317470 | − | 0.948268i | \(-0.602833\pi\) |
0.662490 | + | 0.749071i | \(0.269500\pi\) | |||||||
\(368\) | 4242.66 | − | 2449.50i | 0.600989 | − | 0.346981i | ||||
\(369\) | −2242.50 | + | 3884.12i | −0.316368 | + | 0.547966i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 10447.5 | + | 3619.12i | 1.46201 | + | 0.506456i | ||||
\(372\) | 176.000i | 0.0245300i | ||||||||
\(373\) | 5717.50 | + | 3301.00i | 0.793675 | + | 0.458229i | 0.841255 | − | 0.540639i | \(-0.181817\pi\) |
−0.0475795 | + | 0.998867i | \(0.515151\pi\) | |||||||
\(374\) | 3645.00 | + | 6313.33i | 0.503953 | + | 0.872872i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 472.500 | − | 818.394i | 0.0648067 | − | 0.112249i | ||||
\(377\) | − | 9558.00i | − | 1.30573i | ||||||
\(378\) | −5455.96 | + | 1050.00i | −0.742392 | + | 0.142873i | ||||
\(379\) | 8305.00 | 1.12559 | 0.562796 | − | 0.826596i | \(-0.309726\pi\) | ||||
0.562796 | + | 0.826596i | \(0.309726\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 803.000 | + | 1390.84i | 0.107976 | + | 0.187020i | ||||
\(382\) | −6204.21 | + | 3582.00i | −0.830981 | + | 0.479767i | ||||
\(383\) | 818.394 | + | 472.500i | 0.109185 | + | 0.0630382i | 0.553598 | − | 0.832784i | \(-0.313254\pi\) |
−0.444413 | + | 0.895822i | \(0.646588\pi\) | |||||||
\(384\) | 3318.00 | 0.440940 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 816.000 | 0.107599 | ||||||||
\(387\) | −5696.72 | − | 3289.00i | −0.748270 | − | 0.432014i | ||||
\(388\) | −781.155 | + | 451.000i | −0.102209 | + | 0.0590105i | ||||
\(389\) | 6018.00 | + | 10423.5i | 0.784382 | + | 1.35859i | 0.929367 | + | 0.369156i | \(0.120353\pi\) |
−0.144985 | + | 0.989434i | \(0.546313\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3726.00 | −0.481923 | ||||||||
\(392\) | −7129.12 | − | 1029.00i | −0.918559 | − | 0.132583i | ||||
\(393\) | 4038.00i | 0.518296i | ||||||||
\(394\) | −3163.50 | + | 5479.34i | −0.404505 | + | 0.700623i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −517.500 | − | 896.336i | −0.0656701 | − | 0.113744i | ||||
\(397\) | 2336.54 | + | 1349.00i | 0.295384 | + | 0.170540i | 0.640367 | − | 0.768069i | \(-0.278782\pi\) |
−0.344983 | + | 0.938609i | \(0.612115\pi\) | |||||||
\(398\) | − | 4272.00i | − | 0.538030i | ||||||
\(399\) | 3388.00 | − | 2934.09i | 0.425093 | − | 0.368141i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3526.50 | + | 6108.08i | −0.439165 | + | 0.760655i | −0.997625 | − | 0.0688756i | \(-0.978059\pi\) |
0.558461 | + | 0.829531i | \(0.311392\pi\) | |||||||
\(402\) | 1454.92 | − | 840.000i | 0.180510 | − | 0.104217i | ||||
\(403\) | 4496.40 | − | 2596.00i | 0.555786 | − | 0.320883i | ||||
\(404\) | 342.000 | − | 592.361i | 0.0421167 | − | 0.0729482i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1701.00 | + | 8838.66i | 0.207929 | + | 1.08043i | ||||
\(407\) | 11655.0i | 1.41945i | ||||||||
\(408\) | −1964.15 | − | 1134.00i | −0.238333 | − | 0.137601i | ||||
\(409\) | −5435.00 | − | 9413.70i | −0.657074 | − | 1.13809i | −0.981369 | − | 0.192130i | \(-0.938460\pi\) |
0.324295 | − | 0.945956i | \(-0.394873\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 60.0000 | − | 103.923i | 0.00720093 | − | 0.0124724i | ||||
\(412\) | − | 1516.00i | − | 0.181281i | ||||||
\(413\) | −2182.38 | + | 6300.00i | −0.260020 | + | 0.750612i | ||||
\(414\) | 4761.00 | 0.565194 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1327.50 | + | 2299.30i | 0.156457 | + | 0.270991i | ||||
\(417\) | 2958.34 | − | 1708.00i | 0.347412 | − | 0.200578i | ||||
\(418\) | 14146.5 | + | 8167.50i | 1.65533 | + | 0.955707i | ||||
\(419\) | 9729.00 | 1.13435 | 0.567175 | − | 0.823597i | \(-0.308036\pi\) | ||||
0.567175 | + | 0.823597i | \(0.308036\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12550.0 | −1.45285 | −0.726425 | − | 0.687246i | \(-0.758819\pi\) | ||||
−0.726425 | + | 0.687246i | \(0.758819\pi\) | |||||||
\(422\) | 9418.03 | + | 5437.50i | 1.08640 | + | 0.627235i | ||||
\(423\) | 896.336 | − | 517.500i | 0.103029 | − | 0.0594840i | ||||
\(424\) | −6268.50 | − | 10857.4i | −0.717984 | − | 1.24358i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −288.000 | −0.0327550 | ||||||||
\(427\) | 7129.12 | − | 1372.00i | 0.807968 | − | 0.155494i | ||||
\(428\) | 732.000i | 0.0826695i | ||||||||
\(429\) | 2655.00 | − | 4598.59i | 0.298799 | − | 0.517534i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1494.00 | − | 2587.68i | −0.166969 | − | 0.289198i | 0.770384 | − | 0.637580i | \(-0.220065\pi\) |
−0.937353 | + | 0.348382i | \(0.886731\pi\) | |||||||
\(432\) | 6148.78 | + | 3550.00i | 0.684799 | + | 0.395369i | ||||
\(433\) | − | 16616.0i | − | 1.84414i | −0.387019 | − | 0.922072i | \(-0.626495\pi\) | ||
0.387019 | − | 0.922072i | \(-0.373505\pi\) | |||||||
\(434\) | −3696.00 | + | 3200.83i | −0.408787 | + | 0.354020i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 800.000 | − | 1385.64i | 0.0878740 | − | 0.152202i | ||||
\(437\) | −7230.45 | + | 4174.50i | −0.791485 | + | 0.456964i | ||||
\(438\) | 3471.03 | − | 2004.00i | 0.378658 | − | 0.218618i | ||||
\(439\) | 3673.00 | − | 6361.82i | 0.399323 | − | 0.691647i | −0.594320 | − | 0.804229i | \(-0.702579\pi\) |
0.993642 | + | 0.112581i | \(0.0359119\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6198.50 | − | 4880.05i | −0.669312 | − | 0.526947i | ||||
\(442\) | − | 9558.00i | − | 1.02857i | ||||||
\(443\) | 10.3923 | + | 6.00000i | 0.00111457 | + | 0.000643496i | 0.500557 | − | 0.865703i | \(-0.333129\pi\) |
−0.499443 | + | 0.866347i | \(0.666462\pi\) | |||||||
\(444\) | 259.000 | + | 448.601i | 0.0276838 | + | 0.0479497i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 7440.00 | − | 12886.5i | 0.789897 | − | 1.36814i | ||||
\(447\) | 2172.00i | 0.229826i | ||||||||
\(448\) | 5249.85 | + | 6062.00i | 0.553643 | + | 0.639291i | ||||
\(449\) | −9669.00 | −1.01628 | −0.508138 | − | 0.861275i | \(-0.669666\pi\) | ||||
−0.508138 | + | 0.861275i | \(0.669666\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4387.50 | + | 7599.37i | 0.458092 | + | 0.793438i | ||||
\(452\) | −1205.51 | + | 696.000i | −0.125448 | + | 0.0724272i | ||||
\(453\) | 4964.06 | + | 2866.00i | 0.514860 | + | 0.297255i | ||||
\(454\) | 4500.00 | 0.465188 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −5082.00 | −0.521900 | ||||||||
\(457\) | 8343.29 | + | 4817.00i | 0.854010 | + | 0.493063i | 0.862002 | − | 0.506905i | \(-0.169211\pi\) |
−0.00799181 | + | 0.999968i | \(0.502544\pi\) | |||||||
\(458\) | −15827.5 | + | 9138.00i | −1.61478 | + | 0.932294i | ||||
\(459\) | −2700.00 | − | 4676.54i | −0.274565 | − | 0.475560i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −342.000 | −0.0345521 | −0.0172761 | − | 0.999851i | \(-0.505499\pi\) | ||||
−0.0172761 | + | 0.999851i | \(0.505499\pi\) | |||||||
\(462\) | −1636.79 | + | 4725.00i | −0.164827 | + | 0.475816i | ||||
\(463\) | − | 2411.00i | − | 0.242006i | −0.992652 | − | 0.121003i | \(-0.961389\pi\) | ||
0.992652 | − | 0.121003i | \(-0.0386110\pi\) | |||||||
\(464\) | 5751.00 | − | 9961.02i | 0.575395 | − | 0.996614i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −207.000 | − | 358.535i | −0.0205774 | − | 0.0356412i | ||||
\(467\) | 1044.43 | + | 603.000i | 0.103491 | + | 0.0597506i | 0.550852 | − | 0.834603i | \(-0.314303\pi\) |
−0.447361 | + | 0.894353i | \(0.647636\pi\) | |||||||
\(468\) | 1357.00i | 0.134033i | ||||||||
\(469\) | 4900.00 | + | 1697.41i | 0.482433 | + | 0.167120i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −229.000 | + | 396.640i | −0.0224029 | + | 0.0388030i | ||||
\(472\) | 6547.15 | − | 3780.00i | 0.638468 | − | 0.368620i | ||||
\(473\) | −11145.7 | + | 6435.00i | −1.08347 | + | 0.625543i | ||||
\(474\) | −2346.00 | + | 4063.39i | −0.227332 | + | 0.393751i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 189.000 | + | 982.073i | 0.0181992 | + | 0.0945656i | ||||
\(477\) | − | 13731.0i | − | 1.31803i | ||||||
\(478\) | −14294.6 | − | 8253.00i | −1.36783 | − | 0.789714i | ||||
\(479\) | −216.000 | − | 374.123i | −0.0206039 | − | 0.0356871i | 0.855540 | − | 0.517737i | \(-0.173226\pi\) |
−0.876144 | + | 0.482050i | \(0.839892\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7640.50 | − | 13233.7i | 0.724276 | − | 1.25448i | ||||
\(482\) | 10653.0i | 1.00670i | ||||||||
\(483\) | −1673.16 | − | 1932.00i | −0.157622 | − | 0.182006i | ||||
\(484\) | −694.000 | −0.0651766 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 5313.00 | + | 9202.39i | 0.495890 | + | 0.858907i | ||||
\(487\) | −10302.2 | + | 5948.00i | −0.958602 | + | 0.553449i | −0.895742 | − | 0.444574i | \(-0.853355\pi\) |
−0.0628592 | + | 0.998022i | \(0.520022\pi\) | |||||||
\(488\) | −7129.12 | − | 4116.00i | −0.661312 | − | 0.381809i | ||||
\(489\) | −2456.00 | −0.227125 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −12276.0 | −1.12833 | −0.564163 | − | 0.825663i | \(-0.690801\pi\) | ||||
−0.564163 | + | 0.825663i | \(0.690801\pi\) | |||||||
\(492\) | 337.750 | + | 195.000i | 0.0309491 | + | 0.0178685i | ||||
\(493\) | −7575.99 | + | 4374.00i | −0.692100 | + | 0.399584i | ||||
\(494\) | −10708.5 | − | 18547.7i | −0.975300 | − | 1.68927i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6248.00 | 0.565612 | ||||||||
\(497\) | −581.969 | − | 672.000i | −0.0525249 | − | 0.0606505i | ||||
\(498\) | 4608.00i | 0.414637i | ||||||||
\(499\) | −5438.00 | + | 9418.89i | −0.487852 | + | 0.844985i | −0.999902 | − | 0.0139706i | \(-0.995553\pi\) |
0.512050 | + | 0.858956i | \(0.328886\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1929.00 | − | 3341.13i | −0.172019 | − | 0.297945i | ||||
\(502\) | −18355.4 | − | 10597.5i | −1.63196 | − | 0.942210i | ||||
\(503\) | − | 12000.0i | − | 1.06372i | −0.846831 | − | 0.531862i | \(-0.821492\pi\) | ||
0.846831 | − | 0.531862i | \(-0.178508\pi\) | |||||||
\(504\) | 1690.50 | + | 8784.10i | 0.149406 | + | 0.776339i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 4657.50 | − | 8067.03i | 0.409192 | − | 0.708741i | ||||
\(507\) | −2223.95 | + | 1284.00i | −0.194811 | + | 0.112474i | ||||
\(508\) | −695.418 | + | 401.500i | −0.0607366 | + | 0.0350663i | ||||
\(509\) | −5841.00 | + | 10116.9i | −0.508640 | + | 0.880990i | 0.491310 | + | 0.870985i | \(0.336518\pi\) |
−0.999950 | + | 0.0100055i | \(0.996815\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11690.0 | + | 4049.53i | 1.01201 | + | 0.350569i | ||||
\(512\) | − | 8733.00i | − | 0.753804i | ||||||
\(513\) | −10478.9 | − | 6050.00i | −0.901862 | − | 0.520690i | ||||
\(514\) | −6120.00 | − | 10600.2i | −0.525178 | − | 0.909635i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −286.000 | + | 495.367i | −0.0244001 | + | 0.0422622i | ||||
\(517\) | − | 2025.00i | − | 0.172262i | ||||||
\(518\) | −4710.31 | + | 13597.5i | −0.399535 | + | 1.15336i | ||||
\(519\) | −1398.00 | −0.118238 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4804.50 | − | 8321.64i | −0.404010 | − | 0.699765i | 0.590196 | − | 0.807260i | \(-0.299050\pi\) |
−0.994206 | + | 0.107495i | \(0.965717\pi\) | |||||||
\(522\) | 9680.43 | − | 5589.00i | 0.811688 | − | 0.468628i | ||||
\(523\) | 18349.3 | + | 10594.0i | 1.53415 | + | 0.885742i | 0.999164 | + | 0.0408820i | \(0.0130168\pi\) |
0.534987 | + | 0.844860i | \(0.320317\pi\) | |||||||
\(524\) | −2019.00 | −0.168321 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9864.00 | −0.817663 | ||||||||
\(527\) | −4115.35 | − | 2376.00i | −0.340166 | − | 0.196395i | ||||
\(528\) | 5533.90 | − | 3195.00i | 0.456122 | − | 0.263342i | ||||
\(529\) | −3703.00 | − | 6413.78i | −0.304348 | − | 0.527146i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 8280.00 | 0.676688 | ||||||||
\(532\) | 1467.05 | + | 1694.00i | 0.119557 | + | 0.138053i | ||||
\(533\) | − | 11505.0i | − | 0.934966i | ||||||
\(534\) | 3582.00 | − | 6204.21i | 0.290278 | − | 0.502776i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −2940.00 | − | 5092.23i | −0.236919 | − | 0.410356i | ||||
\(537\) | 5398.80 | + | 3117.00i | 0.433846 | + | 0.250481i | ||||
\(538\) | 9792.00i | 0.784690i | ||||||||
\(539\) | −14332.5 | + | 5728.76i | −1.14535 | + | 0.457802i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4036.00 | + | 6990.56i | −0.320742 | + | 0.555541i | −0.980641 | − | 0.195813i | \(-0.937265\pi\) |
0.659900 | + | 0.751354i | \(0.270599\pi\) | |||||||
\(542\) | −7149.91 | + | 4128.00i | −0.566632 | + | 0.327145i | ||||
\(543\) | −3114.23 | + | 1798.00i | −0.246122 | + | 0.142099i | ||||
\(544\) | 1215.00 | − | 2104.44i | 0.0957586 | − | 0.165859i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 4956.00 | − | 4292.02i | 0.388456 | − | 0.336413i | ||||
\(547\) | 344.000i | 0.0268892i | 0.999910 | + | 0.0134446i | \(0.00427967\pi\) | ||||
−0.999910 | + | 0.0134446i | \(0.995720\pi\) | |||||||
\(548\) | 51.9615 | + | 30.0000i | 0.00405052 | + | 0.00233857i | ||||
\(549\) | −4508.00 | − | 7808.09i | −0.350449 | − | 0.606996i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9801.00 | + | 16975.8i | −0.757780 | + | 1.31251i | ||||
\(552\) | 2898.00i | 0.223455i | ||||||||
\(553\) | −14221.9 | + | 2737.00i | −1.09363 | + | 0.210468i | ||||
\(554\) | 14070.0 | 1.07902 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 854.000 | + | 1479.17i | 0.0651397 | + | 0.112825i | ||||
\(557\) | 15902.8 | − | 9181.50i | 1.20974 | − | 0.698443i | 0.247036 | − | 0.969006i | \(-0.420543\pi\) |
0.962702 | + | 0.270563i | \(0.0872100\pi\) | |||||||
\(558\) | 5258.51 | + | 3036.00i | 0.398943 | + | 0.230330i | ||||
\(559\) | 16874.0 | 1.27673 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4860.00 | −0.365756 | ||||||||
\(562\) | −20319.6 | − | 11731.5i | −1.52514 | − | 0.880540i | ||||
\(563\) | 5450.76 | − | 3147.00i | 0.408033 | − | 0.235578i | −0.281912 | − | 0.959440i | \(-0.590968\pi\) |
0.689944 | + | 0.723863i | \(0.257635\pi\) | |||||||
\(564\) | −45.0000 | − | 77.9423i | −0.00335965 | − | 0.00581908i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1974.00 | −0.146596 | ||||||||
\(567\) | −2552.18 | + | 7367.50i | −0.189032 | + | 0.545689i | ||||
\(568\) | 1008.00i | 0.0744626i | ||||||||
\(569\) | 5866.50 | − | 10161.1i | 0.432226 | − | 0.748637i | −0.564839 | − | 0.825201i | \(-0.691062\pi\) |
0.997065 | + | 0.0765642i | \(0.0243950\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −526.000 | − | 911.059i | −0.0385506 | − | 0.0667717i | 0.846106 | − | 0.533014i | \(-0.178941\pi\) |
−0.884657 | + | 0.466242i | \(0.845607\pi\) | |||||||
\(572\) | 2299.30 | + | 1327.50i | 0.168074 | + | 0.0970377i | ||||
\(573\) | − | 4776.00i | − | 0.348203i | ||||||
\(574\) | 2047.50 | + | 10639.1i | 0.148887 | + | 0.773638i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 4979.50 | − | 8624.75i | 0.360207 | − | 0.623897i | ||||
\(577\) | −11393.4 | + | 6578.00i | −0.822036 | + | 0.474603i | −0.851118 | − | 0.524974i | \(-0.824075\pi\) |
0.0290821 | + | 0.999577i | \(0.490742\pi\) | |||||||
\(578\) | 5188.36 | − | 2995.50i | 0.373369 | − | 0.215565i | ||||
\(579\) | −272.000 | + | 471.118i | −0.0195232 | + | 0.0338152i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −10752.0 | + | 9311.51i | −0.767759 | + | 0.664899i | ||||
\(582\) | − | 5412.00i | − | 0.385455i | ||||||
\(583\) | −23265.8 | − | 13432.5i | −1.65278 | − | 0.954232i | ||||
\(584\) | −7014.00 | − | 12148.6i | −0.496989 | − | 0.860810i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8995.50 | − | 15580.7i | 0.634131 | − | 1.09835i | ||||
\(587\) | − | 13368.0i | − | 0.939960i | −0.882677 | − | 0.469980i | \(-0.844261\pi\) | ||
0.882677 | − | 0.469980i | \(-0.155739\pi\) | |||||||
\(588\) | −424.352 | + | 539.000i | −0.0297619 | + | 0.0378027i | ||||
\(589\) | −10648.0 | −0.744895 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2109.00 | − | 3652.90i | −0.146790 | − | 0.254247i | ||||
\(592\) | 15925.3 | − | 9194.50i | 1.10562 | − | 0.638330i | ||||
\(593\) | 23091.7 | + | 13332.0i | 1.59909 | + | 0.923237i | 0.991662 | + | 0.128865i | \(0.0411334\pi\) |
0.607431 | + | 0.794372i | \(0.292200\pi\) | |||||||
\(594\) | 13500.0 | 0.932511 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1086.00 | −0.0746381 | ||||||||
\(597\) | 2466.44 | + | 1424.00i | 0.169087 | + | 0.0976222i | ||||
\(598\) | −10576.8 | + | 6106.50i | −0.723271 | + | 0.417581i | ||||
\(599\) | 3807.00 | + | 6593.92i | 0.259682 | + | 0.449783i | 0.966157 | − | 0.257955i | \(-0.0830488\pi\) |
−0.706474 | + | 0.707739i | \(0.749715\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6410.00 | 0.435057 | 0.217529 | − | 0.976054i | \(-0.430200\pi\) | ||||
0.217529 | + | 0.976054i | \(0.430200\pi\) | |||||||
\(602\) | −15604.0 | + | 3003.00i | −1.05643 | + | 0.203311i | ||||
\(603\) | − | 6440.00i | − | 0.434921i | ||||||
\(604\) | −1433.00 | + | 2482.03i | −0.0965363 | + | 0.167206i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 2052.00 | + | 3554.17i | 0.137552 | + | 0.238248i | ||||
\(607\) | 18592.7 | + | 10734.5i | 1.24325 | + | 0.717792i | 0.969755 | − | 0.244080i | \(-0.0784861\pi\) |
0.273498 | + | 0.961873i | \(0.411819\pi\) | |||||||
\(608\) | − | 5445.00i | − | 0.363197i | ||||||
\(609\) | −5670.00 | − | 1964.15i | −0.377274 | − | 0.130692i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1327.50 | + | 2299.30i | −0.0878967 | + | 0.152242i | ||||
\(612\) | 1075.60 | − | 621.000i | 0.0710436 | − | 0.0410171i | ||||
\(613\) | −3236.34 | + | 1868.50i | −0.213237 | + | 0.123113i | −0.602815 | − | 0.797881i | \(-0.705954\pi\) |
0.389578 | + | 0.920994i | \(0.372621\pi\) | |||||||
\(614\) | −9339.00 | + | 16175.6i | −0.613830 | + | 1.06318i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 16537.5 | + | 5728.76i | 1.08168 | + | 0.374705i | ||||
\(617\) | 18078.0i | 1.17957i | 0.807561 | + | 0.589784i | \(0.200787\pi\) | ||||
−0.807561 | + | 0.589784i | \(0.799213\pi\) | |||||||
\(618\) | 7877.37 | + | 4548.00i | 0.512741 | + | 0.296031i | ||||
\(619\) | 6143.50 | + | 10640.9i | 0.398915 | + | 0.690940i | 0.993592 | − | 0.113024i | \(-0.0360537\pi\) |
−0.594678 | + | 0.803964i | \(0.702720\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3450.00 | + | 5975.58i | −0.222937 | + | 0.386138i | ||||
\(622\) | 14040.0i | 0.905069i | ||||||||
\(623\) | 21714.7 | − | 4179.00i | 1.39644 | − | 0.268745i | ||||
\(624\) | −8378.00 | −0.537481 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −1542.00 | − | 2670.82i | −0.0984516 | − | 0.170523i | ||||
\(627\) | −9431.02 | + | 5445.00i | −0.600699 | + | 0.346814i | ||||
\(628\) | −198.320 | − | 114.500i | −0.0126016 | − | 0.00727555i | ||||
\(629\) | −13986.0 | −0.886579 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9580.00 | −0.604396 | −0.302198 | − | 0.953245i | \(-0.597720\pi\) | ||||
−0.302198 | + | 0.953245i | \(0.597720\pi\) | |||||||
\(632\) | 14221.9 | + | 8211.00i | 0.895120 | + | 0.516798i | ||||
\(633\) | −6278.68 | + | 3625.00i | −0.394242 | + | 0.227616i | ||||
\(634\) | 12933.0 | + | 22400.6i | 0.810150 | + | 1.40322i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1194.00 | −0.0744421 | ||||||||
\(637\) | 20029.4 | + | 2891.00i | 1.24583 | + | 0.179820i | ||||
\(638\) | − | 21870.0i | − | 1.35712i | ||||||
\(639\) | −552.000 | + | 956.092i | −0.0341734 | + | 0.0591900i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5389.50 | − | 9334.89i | −0.332094 | − | 0.575204i | 0.650828 | − | 0.759225i | \(-0.274422\pi\) |
−0.982922 | + | 0.184021i | \(0.941089\pi\) | |||||||
\(642\) | −3803.58 | − | 2196.00i | −0.233825 | − | 0.134999i | ||||
\(643\) | − | 8882.00i | − | 0.544746i | −0.962192 | − | 0.272373i | \(-0.912191\pi\) | ||
0.962192 | − | 0.272373i | \(-0.0878085\pi\) | |||||||
\(644\) | 966.000 | − | 836.581i | 0.0591083 | − | 0.0511893i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9801.00 | + | 16975.8i | −0.596928 | + | 1.03391i | ||||
\(647\) | −9542.73 | + | 5509.50i | −0.579851 | + | 0.334777i | −0.761074 | − | 0.648665i | \(-0.775328\pi\) |
0.181223 | + | 0.983442i | \(0.441994\pi\) | |||||||
\(648\) | 7656.53 | − | 4420.50i | 0.464162 | − | 0.267984i | ||||
\(649\) | 8100.00 | − | 14029.6i | 0.489912 | − | 0.848552i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −616.000 | − | 3200.83i | −0.0370859 | − | 0.192704i | ||||
\(652\) | − | 1228.00i | − | 0.0737610i | ||||||
\(653\) | 19332.3 | + | 11161.5i | 1.15855 | + | 0.668887i | 0.950955 | − | 0.309329i | \(-0.100104\pi\) |
0.207591 | + | 0.978216i | \(0.433438\pi\) | |||||||
\(654\) | 4800.00 | + | 8313.84i | 0.286995 | + | 0.497090i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 6922.50 | − | 11990.1i | 0.412009 | − | 0.713621i | ||||
\(657\) | − | 15364.0i | − | 0.912339i | ||||||
\(658\) | 818.394 | − | 2362.50i | 0.0484868 | − | 0.139969i | ||||
\(659\) | 11856.0 | 0.700826 | 0.350413 | − | 0.936595i | \(-0.386041\pi\) | ||||
0.350413 | + | 0.936595i | \(0.386041\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16622.0 | + | 28790.1i | 0.978095 | + | 1.69411i | 0.669318 | + | 0.742976i | \(0.266586\pi\) |
0.308777 | + | 0.951134i | \(0.400080\pi\) | |||||||
\(662\) | −5193.55 | + | 2998.50i | −0.304914 | + | 0.176042i | ||||
\(663\) | 5518.31 | + | 3186.00i | 0.323248 | + | 0.186627i | ||||
\(664\) | 16128.0 | 0.942602 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 17871.0 | 1.03977 | ||||||||
\(667\) | 9680.43 | + | 5589.00i | 0.561961 | + | 0.324448i | ||||
\(668\) | 1670.56 | − | 964.500i | 0.0967605 | − | 0.0558647i | ||||
\(669\) | 4960.00 | + | 8590.97i | 0.286644 | + | 0.496482i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −17640.0 | −1.01488 | ||||||||
\(672\) | 1636.79 | − | 315.000i | 0.0939590 | − | 0.0180824i | ||||
\(673\) | 12322.0i | 0.705763i | 0.935668 | + | 0.352881i | \(0.114798\pi\) | ||||
−0.935668 | + | 0.352881i | \(0.885202\pi\) | |||||||
\(674\) | 7671.00 | − | 13286.6i | 0.438392 | − | 0.759316i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −642.000 | − | 1111.98i | −0.0365271 | − | 0.0632668i | ||||
\(677\) | 10909.3 | + | 6298.50i | 0.619320 | + | 0.357564i | 0.776604 | − | 0.629989i | \(-0.216941\pi\) |
−0.157285 | + | 0.987553i | \(0.550274\pi\) | |||||||
\(678\) | − | 8352.00i | − | 0.473092i | ||||||
\(679\) | 12628.0 | − | 10936.2i | 0.713723 | − | 0.618103i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1500.00 | + | 2598.08i | −0.0844055 | + | 0.146195i | ||||
\(682\) | 10288.4 | − | 5940.00i | 0.577658 | − | 0.333511i | ||||
\(683\) | 7222.65 | − | 4170.00i | 0.404637 | − | 0.233617i | −0.283846 | − | 0.958870i | \(-0.591610\pi\) |
0.688483 | + | 0.725253i | \(0.258277\pi\) | |||||||
\(684\) | 1391.50 | − | 2410.15i | 0.0777856 | − | 0.134729i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −19036.5 | + | 891.140i | −1.05950 | + | 0.0495975i | ||||
\(687\) | − | 12184.0i | − | 0.676636i | ||||||
\(688\) | 17585.5 | + | 10153.0i | 0.974479 | + | 0.562616i | ||||
\(689\) | 17611.5 | + | 30504.0i | 0.973795 | + | 1.68666i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10100.0 | − | 17493.7i | 0.556038 | − | 0.963086i | −0.441784 | − | 0.897121i | \(-0.645654\pi\) |
0.997822 | − | 0.0659643i | \(-0.0210124\pi\) | |||||||
\(692\) | − | 699.000i | − | 0.0383988i | ||||||
\(693\) | 12548.7 | + | 14490.0i | 0.687859 | + | 0.794271i | ||||
\(694\) | −12960.0 | −0.708869 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 3402.00 | + | 5892.44i | 0.185277 | + | 0.320908i | ||||
\(697\) | −9119.25 | + | 5265.00i | −0.495576 | + | 0.286121i | ||||
\(698\) | 20582.0 | + | 11883.0i | 1.11610 | + | 0.644381i | ||||
\(699\) | 276.000 | 0.0149346 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 474.000 | 0.0255388 | 0.0127694 | − | 0.999918i | \(-0.495935\pi\) | ||||
0.0127694 | + | 0.999918i | \(0.495935\pi\) | |||||||
\(702\) | −15328.6 | − | 8850.00i | −0.824135 | − | 0.475814i | ||||
\(703\) | −27140.4 | + | 15669.5i | −1.45607 | + | 0.840663i | ||||
\(704\) | −9742.50 | − | 16874.5i | −0.521569 | − | 0.903383i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2484.00 | 0.132417 | ||||||||
\(707\) | −4146.53 | + | 11970.0i | −0.220575 | + | 0.636744i | ||||
\(708\) | − | 720.000i | − | 0.0382193i | ||||||
\(709\) | −12563.0 | + | 21759.8i | −0.665463 | + | 1.15262i | 0.313696 | + | 0.949523i | \(0.398433\pi\) |
−0.979160 | + | 0.203093i | \(0.934901\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8993.00 | + | 15576.3i | 0.474351 | + | 0.821601i | ||||
\(712\) | −21714.7 | − | 12537.0i | −1.14297 | − | 0.659893i | ||||
\(713\) | 6072.00i | 0.318932i | ||||||||
\(714\) | −5670.00 | − | 1964.15i | −0.297191 | − | 0.102950i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1558.50 | + | 2699.40i | −0.0813462 | + | 0.140896i | ||||
\(717\) | 9529.74 | − | 5502.00i | 0.496367 | − | 0.286577i | ||||
\(718\) | 3507.40 | − | 2025.00i | 0.182305 | − | 0.105254i | ||||
\(719\) | −3648.00 | + | 6318.52i | −0.189218 | + | 0.327734i | −0.944990 | − | 0.327100i | \(-0.893928\pi\) |
0.755772 | + | 0.654835i | \(0.227262\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5306.00 | + | 27570.8i | 0.274072 | + | 1.42412i | ||||
\(722\) | 23346.0i | 1.20339i | ||||||||
\(723\) | −6150.51 | − | 3551.00i | −0.316376 | − | 0.182660i | ||||
\(724\) | −899.000 | − | 1557.11i | −0.0461479 | − | 0.0799305i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2082.00 | − | 3606.13i | 0.106433 | − | 0.184347i | ||||
\(727\) | − | 15421.0i | − | 0.786703i | −0.919388 | − | 0.393352i | \(-0.871316\pi\) | ||
0.919388 | − | 0.393352i | \(-0.128684\pi\) | |||||||
\(728\) | −15022.1 | − | 17346.0i | −0.764774 | − | 0.883085i | ||||
\(729\) | 4283.00 | 0.217599 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7722.00 | − | 13374.9i | −0.390709 | − | 0.676728i | ||||
\(732\) | −678.964 | + | 392.000i | −0.0342831 | + | 0.0197934i | ||||
\(733\) | −25259.4 | − | 14583.5i | −1.27282 | − | 0.734862i | −0.297301 | − | 0.954784i | \(-0.596086\pi\) |
−0.975517 | + | 0.219922i | \(0.929420\pi\) | |||||||
\(734\) | −8403.00 | −0.422562 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3105.00 | −0.155505 | ||||||||
\(737\) | −10911.9 | − | 6300.00i | −0.545381 | − | 0.314876i | ||||
\(738\) | 11652.4 | − | 6727.50i | 0.581206 | − | 0.335559i | ||||
\(739\) | −6690.50 | − | 11588.3i | −0.333037 | − | 0.576836i | 0.650069 | − | 0.759875i | \(-0.274740\pi\) |
−0.983106 | + | 0.183039i | \(0.941407\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 14278.0 | 0.707848 | ||||||||
\(742\) | −21714.7 | − | 25074.0i | −1.07436 | − | 1.24056i | ||||
\(743\) | − | 5487.00i | − | 0.270927i | −0.990782 | − | 0.135463i | \(-0.956748\pi\) | ||
0.990782 | − | 0.135463i | \(-0.0432523\pi\) | |||||||
\(744\) | −1848.00 | + | 3200.83i | −0.0910631 | + | 0.157726i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −9903.00 | − | 17152.5i | −0.486025 | − | 0.841820i | ||||
\(747\) | 15297.5 | + | 8832.00i | 0.749271 | + | 0.432592i | ||||
\(748\) | − | 2430.00i | − | 0.118783i | ||||||
\(749\) | −2562.00 | − | 13312.5i | −0.124985 | − | 0.649439i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3319.00 | + | 5748.68i | −0.161268 | + | 0.279324i | −0.935324 | − | 0.353793i | \(-0.884892\pi\) |
0.774056 | + | 0.633117i | \(0.218225\pi\) | |||||||
\(752\) | −2766.95 | + | 1597.50i | −0.134176 | + | 0.0774665i | ||||
\(753\) | 12236.9 | − | 7065.00i | 0.592216 | − | 0.341916i | ||||
\(754\) | −14337.0 | + | 24832.4i | −0.692470 | + | 1.19939i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1750.00 | + | 606.218i | 0.0841890 | + | 0.0291639i | ||||
\(757\) | 14846.0i | 0.712797i | 0.934334 | + | 0.356398i | \(0.115995\pi\) | ||||
−0.934334 | + | 0.356398i | \(0.884005\pi\) | |||||||
\(758\) | −21577.0 | − | 12457.5i | −1.03392 | − | 0.596935i | ||||
\(759\) | 3105.00 | + | 5378.02i | 0.148491 | + | 0.257193i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1825.50 | − | 3161.86i | 0.0869571 | − | 0.150614i | −0.819266 | − | 0.573413i | \(-0.805619\pi\) |
0.906223 | + | 0.422799i | \(0.138952\pi\) | |||||||
\(762\) | − | 4818.00i | − | 0.229052i | ||||||
\(763\) | −9699.48 | + | 28000.0i | −0.460216 | + | 1.32853i | ||||
\(764\) | 2388.00 | 0.113082 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1417.50 | − | 2455.18i | −0.0668621 | − | 0.115809i | ||||
\(767\) | −18394.4 | + | 10620.0i | −0.865949 | + | 0.499956i | ||||
\(768\) | −2620.59 | − | 1513.00i | −0.123128 | − | 0.0710881i | ||||
\(769\) | −29855.0 | −1.40000 | −0.699999 | − | 0.714144i | \(-0.746816\pi\) | ||||
−0.699999 | + | 0.714144i | \(0.746816\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8160.00 | 0.381161 | ||||||||
\(772\) | −235.559 | − | 136.000i | −0.0109818 | − | 0.00634035i | ||||
\(773\) | 5645.62 | − | 3259.50i | 0.262689 | − | 0.151664i | −0.362871 | − | 0.931839i |