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 | 149.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 175.149 |
Dual form | 175.4.k.b.74.2 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 | 0.883175 | − | 0.469044i | \(-0.155401\pi\) |
0.0353837 | + | 0.999374i | \(0.488735\pi\) | |||||||
\(3\) | −1.73205 | + | 1.00000i | −0.333333 | + | 0.192450i | −0.657320 | − | 0.753612i | \(-0.728310\pi\) |
0.323987 | + | 0.946062i | \(0.394977\pi\) | |||||||
\(4\) | 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 | \(0.216688\pi\) | ||||
−0.777105 | + | 0.629371i | \(0.783312\pi\) | |||||||
\(14\) | 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 | −0.127820 | − | 0.991797i | \(-0.540798\pi\) |
0.795012 | + | 0.606594i | \(0.207465\pi\) | |||||||
\(18\) | −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 | 0.204046 | − | 0.978961i | \(-0.434591\pi\) |
−0.745782 | + | 0.666190i | \(0.767924\pi\) | |||||||
\(24\) | 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 | −0.0893706 | − | 0.995998i | \(-0.528486\pi\) |
−0.907245 | + | 0.420602i | \(0.861819\pi\) | |||||||
\(38\) | −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 | \(-0.830700\pi\) | ||
0.861860 | − | 0.507146i | \(-0.169300\pi\) | |||||||
\(44\) | −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 | 0.559253 | − | 0.828997i | \(-0.311088\pi\) |
−0.438306 | + | 0.898826i | \(0.644421\pi\) | |||||||
\(48\) | 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 | 0.353157 | − | 0.935564i | \(-0.385108\pi\) |
0.986801 | + | 0.161939i | \(0.0517748\pi\) | |||||||
\(54\) | 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 | −0.262355 | − | 0.964971i | \(-0.584499\pi\) |
0.704512 | + | 0.709692i | \(0.251166\pi\) | |||||||
\(68\) | 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 | 0.0414929 | − | 0.999139i | \(-0.486789\pi\) |
0.886026 | + | 0.463635i | \(0.153455\pi\) | |||||||
\(74\) | −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 | \(0.169550\pi\) | ||||
−0.861460 | + | 0.507825i | \(0.830450\pi\) | |||||||
\(84\) | −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 | \(-0.843502\pi\) | ||
0.881554 | − | 0.472084i | \(-0.156498\pi\) | |||||||
\(98\) | −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 | 0.972286 | − | 0.233796i | \(-0.0751149\pi\) |
0.283669 | + | 0.958922i | \(0.408448\pi\) | |||||||
\(104\) | 1239.00 | 1.16821 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1791.00 | 1.64111 | ||||||||
\(107\) | −633.931 | − | 366.000i | −0.572751 | − | 0.330678i | 0.185496 | − | 0.982645i | \(-0.440611\pi\) |
−0.758247 | + | 0.651967i | \(0.773944\pi\) | |||||||
\(108\) | 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 | \(-0.803280\pi\) | ||
0.815031 | − | 0.579417i | \(-0.196720\pi\) | |||||||
\(114\) | 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 | \(-0.909490\pi\) | ||
0.959845 | − | 0.280530i | \(-0.0905104\pi\) | |||||||
\(128\) | −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 | −0.516115 | − | 0.856520i | \(-0.672622\pi\) |
0.483710 | + | 0.875228i | \(0.339289\pi\) | |||||||
\(138\) | 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 | −0.448746 | − | 0.893659i | \(-0.648129\pi\) |
0.549559 | + | 0.835455i | \(0.314796\pi\) | |||||||
\(158\) | 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 | 0.733258 | − | 0.679951i | \(-0.237999\pi\) |
−0.222226 | + | 0.974995i | \(0.571332\pi\) | |||||||
\(164\) | 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 | \(0.147478\pi\) | ||||
−0.894575 | + | 0.446918i | \(0.852522\pi\) | |||||||
\(168\) | −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 | 0.627084 | − | 0.778951i | \(-0.284248\pi\) |
−0.361049 | + | 0.932547i | \(0.617581\pi\) | |||||||
\(174\) | −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 | −0.455429 | − | 0.890272i | \(-0.650514\pi\) |
0.543284 | + | 0.839549i | \(0.317181\pi\) | |||||||
\(194\) | 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 | \(0.124548\pi\) | ||||
−0.924422 | + | 0.381371i | \(0.875452\pi\) | |||||||
\(198\) | −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 | \(-0.732582\pi\) | ||
0.667374 | − | 0.744722i | \(-0.267418\pi\) | |||||||
\(224\) | 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 | −0.297917 | − | 0.954592i | \(-0.596292\pi\) |
0.677742 | + | 0.735300i | \(0.262959\pi\) | |||||||
\(228\) | 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 | 0.483104 | − | 0.875563i | \(-0.339509\pi\) |
−0.516707 | + | 0.856162i | \(0.672842\pi\) | |||||||
\(234\) | −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 | 0.00559954 | − | 0.999984i | \(-0.498218\pi\) |
−0.863212 | + | 0.504842i | \(0.831551\pi\) | |||||||
\(258\) | 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 | −0.795174 | − | 0.606381i | \(-0.792620\pi\) |
0.127555 | + | 0.991832i | \(0.459287\pi\) | |||||||
\(264\) | −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 | 0.0100228 | − | 0.999950i | \(-0.496810\pi\) |
0.870993 | + | 0.491295i | \(0.163476\pi\) | |||||||
\(278\) | 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 | −0.558652 | − | 0.829402i | \(-0.688681\pi\) |
0.438957 | + | 0.898508i | \(0.355348\pi\) | |||||||
\(284\) | 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 | \(-0.796016\pi\) | ||
0.801597 | − | 0.597864i | \(-0.203984\pi\) | |||||||
\(294\) | 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 | \(0.196449\pi\) | ||||
−0.815523 | + | 0.578724i | \(0.803551\pi\) | |||||||
\(308\) | −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 | 0.417456 | − | 0.908697i | \(-0.362922\pi\) |
−0.578227 | + | 0.815876i | \(0.696255\pi\) | |||||||
\(314\) | 687.000 | 0.123470 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 782.000 | 0.139212 | ||||||||
\(317\) | 7466.87 | + | 4311.00i | 1.32297 | + | 0.763817i | 0.984201 | − | 0.177053i | \(-0.0566565\pi\) |
0.338768 | + | 0.940870i | \(0.389990\pi\) | |||||||
\(318\) | −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 | \(-0.864369\pi\) | ||
0.910586 | − | 0.413319i | \(-0.135631\pi\) | |||||||
\(338\) | −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 | −0.760652 | − | 0.649160i | \(-0.775121\pi\) |
0.181863 | + | 0.983324i | \(0.441787\pi\) | |||||||
\(348\) | −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 | −0.444966 | − | 0.895548i | \(-0.646784\pi\) |
0.553084 | + | 0.833125i | \(0.313451\pi\) | |||||||
\(354\) | 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 | −0.662490 | − | 0.749071i | \(-0.730500\pi\) |
0.317470 | + | 0.948268i | \(0.397167\pi\) | |||||||
\(368\) | −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 | 0.0475795 | − | 0.998867i | \(-0.484849\pi\) |
−0.841255 | + | 0.540639i | \(0.818183\pi\) | |||||||
\(374\) | 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 | 0.444413 | − | 0.895822i | \(-0.353412\pi\) |
−0.553598 | + | 0.832784i | \(0.686746\pi\) | |||||||
\(384\) | 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 | 0.344983 | − | 0.938609i | \(-0.387885\pi\) |
−0.640367 | + | 0.768069i | \(0.721218\pi\) | |||||||
\(398\) | 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 | \(0.373505\pi\) | ||||
−0.387019 | + | 0.922072i | \(0.626495\pi\) | |||||||
\(434\) | −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 | 0.499443 | − | 0.866347i | \(-0.333538\pi\) |
−0.500557 | + | 0.865703i | \(0.666871\pi\) | |||||||
\(444\) | 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 | 0.00799181 | − | 0.999968i | \(-0.497456\pi\) |
−0.862002 | + | 0.506905i | \(0.830789\pi\) | |||||||
\(458\) | 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 | \(0.0386110\pi\) | ||||
−0.992652 | + | 0.121003i | \(0.961389\pi\) | |||||||
\(464\) | 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 | 0.447361 | − | 0.894353i | \(-0.352364\pi\) |
−0.550852 | + | 0.834603i | \(0.685697\pi\) | |||||||
\(468\) | − | 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 | 0.0628592 | − | 0.998022i | \(-0.479978\pi\) |
0.895742 | + | 0.444574i | \(0.146645\pi\) | |||||||
\(488\) | 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 | \(0.178508\pi\) | ||||
−0.846831 | + | 0.531862i | \(0.821492\pi\) | |||||||
\(504\) | 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 | \(-0.986983\pi\) |
−0.534987 | − | 0.844860i | \(-0.679683\pi\) | |||||||
\(524\) | −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 | \(-0.995720\pi\) | ||
0.999910 | − | 0.0134446i | \(-0.00427967\pi\) | |||||||
\(548\) | −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 | −0.962702 | − | 0.270563i | \(-0.912790\pi\) |
−0.247036 | + | 0.969006i | \(0.579457\pi\) | |||||||
\(558\) | −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 | −0.689944 | − | 0.723863i | \(-0.742365\pi\) |
0.281912 | + | 0.959440i | \(0.409032\pi\) | |||||||
\(564\) | −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 | −0.0290821 | − | 0.999577i | \(-0.509258\pi\) |
0.851118 | + | 0.524974i | \(0.175925\pi\) | |||||||
\(578\) | −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 | \(0.155739\pi\) | ||||
−0.882677 | + | 0.469980i | \(0.844261\pi\) | |||||||
\(588\) | 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 | \(-0.958867\pi\) |
−0.607431 | − | 0.794372i | \(-0.707800\pi\) | |||||||
\(594\) | 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 | −0.273498 | − | 0.961873i | \(-0.588181\pi\) |
−0.969755 | + | 0.244080i | \(0.921514\pi\) | |||||||
\(608\) | 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 | −0.389578 | − | 0.920994i | \(-0.627379\pi\) |
0.602815 | + | 0.797881i | \(0.294046\pi\) | |||||||
\(614\) | −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 | \(-0.799213\pi\) | ||
0.807561 | − | 0.589784i | \(-0.200787\pi\) | |||||||
\(618\) | −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 | \(0.0878085\pi\) | ||||
−0.962192 | + | 0.272373i | \(0.912191\pi\) | |||||||
\(644\) | 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 | −0.181223 | − | 0.983442i | \(-0.558006\pi\) |
0.761074 | + | 0.648665i | \(0.224672\pi\) | |||||||
\(648\) | −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 | −0.207591 | − | 0.978216i | \(-0.566562\pi\) |
−0.950955 | + | 0.309329i | \(0.899896\pi\) | |||||||
\(654\) | 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 | \(-0.885202\pi\) | ||
0.935668 | − | 0.352881i | \(-0.114798\pi\) | |||||||
\(674\) | 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 | 0.157285 | − | 0.987553i | \(-0.449726\pi\) |
−0.776604 | + | 0.629989i | \(0.783059\pi\) | |||||||
\(678\) | 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 | −0.688483 | − | 0.725253i | \(-0.741723\pi\) |
0.283846 | + | 0.958870i | \(0.408390\pi\) | |||||||
\(684\) | 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 | \(0.128684\pi\) | ||||
−0.919388 | + | 0.393352i | \(0.871316\pi\) | |||||||
\(728\) | 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 | 0.975517 | − | 0.219922i | \(-0.0705802\pi\) |
0.297301 | + | 0.954784i | \(0.403914\pi\) | |||||||
\(734\) | −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 | \(0.0432523\pi\) | ||||
−0.990782 | + | 0.135463i | \(0.956748\pi\) | |||||||
\(744\) | −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 | \(-0.884005\pi\) | ||
0.934334 | − | 0.356398i | \(-0.115995\pi\) | |||||||
\(758\) | 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 | −0.625561 | − | 0.780175i | \(-0.715130\pi\) |
0.362871 | + | 0.931839i | \(0.381796\pi\) | |||||||
\(774\) | 9867.00 | + | 17090.1i | 0.458220 | + | 0.793660i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −18942.0 | −0.876261 | ||||||||
\(777\) | 6280.42 | + | 7252.00i | 0.289973 | + | 0.334831i | ||||
\(778\) | 36108.0i | 1.66393i | ||||||||
\(779\) | −11797.5 | + | 20433.9i | −0.542605 | + | 0.939819i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1080.00 | + | 1870.61i | 0.0494820 | + | 0.0857053i | ||||
\(782\) | −9680.43 | − | 5589.00i | −0.442675 | − | 0.255578i | ||||
\(783\) | − | 16200.0i | − | 0.739388i | ||||||
\(784\) | 19134.5 | + | 15064.5i | 0.871652 | + | 0.686248i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 6057.00 | − | 10491.0i | 0.274868 | − | 0.476085i | ||||
\(787\) | −30409.6 | + | 17557.0i | −1.37736 | + | 0.795222i | −0.991842 | − | 0.127477i | \(-0.959312\pi\) |
−0.385523 | + | 0.922698i | \(0.625979\pi\) | |||||||
\(788\) | −1826.45 | + | 1054.50i | −0.0825692 | + | 0.0476713i | ||||
\(789\) | 3288.00 | − | 5694.98i | 0.148360 | − | 0.256967i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 19488.0 | − | 16877.1i | 0.875997 | − | 0.758636i | ||||
\(792\) | 21735.0i | 0.975151i | ||||||||
\(793\) | −20029.4 | − | 11564.0i | −0.896931 | − | 0.517843i | ||||
\(794\) | −4047.00 | − | 7009.61i | −0.180885 | − | 0.313302i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −712.000 | + | 1233.22i | −0.0317037 | + | 0.0549125i | ||||
\(797\) | − | 20910.0i | − | 0.929323i | −0.885488 | − | 0.464661i | \(-0.846176\pi\) | ||
0.885488 | − | 0.464661i | \(-0.153824\pi\) | |||||||
\(798\) | 13203.4 | − | 2541.00i | 0.585709 | − | 0.112720i | ||||
\(799\) | 2430.00 | 0.107594 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13731.0 | − | 23782.8i | −0.605694 | − | 1.04909i | ||||
\(802\) | −18324.2 | + | 10579.5i | −0.806797 | + | 0.465804i | ||||
\(803\) | 26032.7 | + | 15030.0i | 1.14405 | + | 0.660520i | ||||
\(804\) | −560.000 | −0.0245643 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −15576.0 | −0.680696 | ||||||||
\(807\) | 5653.41 | + | 3264.00i | 0.246604 | + | 0.142377i | ||||
\(808\) | −12439.6 | + | 7182.00i | −0.541613 | + | 0.312700i | ||||
\(809\) | 2215.50 | + | 3837.36i | 0.0962829 | + | 0.166767i | 0.910143 | − | 0.414294i | \(-0.135971\pi\) |
−0.813860 | + | 0.581060i | \(0.802638\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9577.00 | −0.414666 | −0.207333 | − | 0.978270i | \(-0.566478\pi\) | ||||
−0.207333 | + | 0.978270i | \(0.566478\pi\) | |||||||
\(812\) | −982.073 | + | 2835.00i | −0.0424433 | + | 0.122523i | ||||
\(813\) | 5504.00i | 0.237434i | ||||||||
\(814\) | 17482.5 | − | 30280.6i | 0.752778 | − | 1.30385i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 3834.00 | + | 6640.68i | 0.164481 | + | 0.284890i | ||||
\(817\) | 29969.7 | + | 17303.0i | 1.28336 | + | 0.740949i | ||||
\(818\) | − | 32610.0i | − | 1.39387i | ||||||
\(819\) | −4749.50 | − | 24679.1i | −0.202639 | − | 1.05294i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 5469.00 | − | 9472.59i | 0.232484 | − | 0.402674i | −0.726054 | − | 0.687637i | \(-0.758648\pi\) |
0.958539 | + | 0.284963i | \(0.0919813\pi\) | |||||||
\(822\) | 311.769 | − | 180.000i | 0.0132290 | − | 0.00763774i | ||||
\(823\) | 9993.93 | − | 5770.00i | 0.423289 | − | 0.244386i | −0.273195 | − | 0.961959i | \(-0.588080\pi\) |
0.696483 | + | 0.717573i | \(0.254747\pi\) | |||||||
\(824\) | 15918.0 | − | 27570.8i | 0.672973 | − | 1.16562i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 15120.0 | − | 13094.3i | 0.636915 | − | 0.551585i | ||||
\(827\) | 18762.0i | 0.788898i | 0.918918 | + | 0.394449i | \(0.129065\pi\) | ||||
−0.918918 | + | 0.394449i | \(0.870935\pi\) | |||||||
\(828\) | 1374.38 | + | 793.500i | 0.0576849 | + | 0.0333044i | ||||
\(829\) | −19805.0 | − | 34303.3i | −0.829742 | − | 1.43716i | −0.898241 | − | 0.439504i | \(-0.855154\pi\) |
0.0684987 | − | 0.997651i | \(-0.478179\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −4690.00 | + | 8123.32i | −0.195781 | + | 0.339103i | ||||
\(832\) | − | 25547.0i | − | 1.06452i | ||||||
\(833\) | 6874.51 | + | 17199.0i | 0.285940 | + | 0.715378i | ||||
\(834\) | −10248.0 | −0.425491 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −2722.50 | − | 4715.51i | −0.112631 | − | 0.195083i | ||||
\(837\) | 7621.02 | − | 4400.00i | 0.314721 | − | 0.181704i | ||||
\(838\) | 25276.7 | + | 14593.5i | 1.04197 | + | 0.601580i | ||||
\(839\) | −39162.0 | −1.61147 | −0.805734 | − | 0.592277i | \(-0.798229\pi\) | ||||
−0.805734 | + | 0.592277i | \(0.798229\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1855.00 | 0.0760589 | ||||||||
\(842\) | −32605.9 | − | 18825.0i | −1.33453 | − | 0.770490i | ||||
\(843\) | −13546.4 | + | 7821.00i | −0.553454 | + | 0.319537i | ||||
\(844\) | −1812.50 | − | 3139.34i | −0.0739204 | − | 0.128034i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −3105.00 | −0.126185 | ||||||||
\(847\) | −12621.5 | + | 2429.00i | −0.512017 | + | 0.0985377i | ||||
\(848\) | − | 42387.0i | − | 1.71648i | ||||||
\(849\) | 658.000 | − | 1139.69i | 0.0265989 | − | 0.0460707i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 8935.50 | + | 15476.7i | 0.359935 | + | 0.623426i | ||||
\(852\) | −83.1384 | − | 48.0000i | −0.00334305 | − | 0.00193011i | ||||
\(853\) | − | 11527.0i | − | 0.462693i | −0.972871 | − | 0.231346i | \(-0.925687\pi\) | ||
0.972871 | − | 0.231346i | \(-0.0743131\pi\) | |||||||
\(854\) | −20580.0 | − | 7129.12i | −0.824629 | − | 0.285660i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7686.00 | + | 13312.5i | −0.306895 | + | 0.531558i | ||||
\(857\) | 36222.4 | − | 20913.0i | 1.44380 | − | 0.833576i | 0.445695 | − | 0.895185i | \(-0.352956\pi\) |
0.998100 | + | 0.0616089i | \(0.0196232\pi\) | |||||||
\(858\) | 13795.8 | − | 7965.00i | 0.548928 | − | 0.316924i | ||||
\(859\) | 17596.0 | − | 30477.2i | 0.698915 | − | 1.21056i | −0.269928 | − | 0.962880i | \(-0.587000\pi\) |
0.968843 | − | 0.247675i | \(-0.0796667\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −6825.00 | − | 2364.25i | −0.270146 | − | 0.0935812i | ||||
\(862\) | − | 8964.00i | − | 0.354194i | ||||||
\(863\) | 7848.79 | + | 4531.50i | 0.309590 | + | 0.178742i | 0.646743 | − | 0.762708i | \(-0.276131\pi\) |
−0.337153 | + | 0.941450i | \(0.609464\pi\) | |||||||
\(864\) | −2250.00 | − | 3897.11i | −0.0885955 | − | 0.153452i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −24924.0 | + | 43169.6i | −0.978005 | + | 1.69395i | ||||
\(867\) | − | 3994.00i | − | 0.156451i | ||||||
\(868\) | −1600.41 | + | 308.000i | −0.0625825 | + | 0.0120440i | ||||
\(869\) | 35190.0 | 1.37369 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8260.00 | + | 14306.7i | 0.321331 | + | 0.556562i | ||||
\(872\) | −29098.5 | + | 16800.0i | −1.13004 | + | 0.652431i | ||||
\(873\) | 17966.6 | + | 10373.0i | 0.696536 | + | 0.402145i | ||||
\(874\) | 25047.0 | 0.969368 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1336.00 | −0.0515288 | ||||||||
\(877\) | 24628.9 | + | 14219.5i | 0.948300 | + | 0.547501i | 0.892552 | − | 0.450944i | \(-0.148913\pi\) |
0.0557473 | + | 0.998445i | \(0.482246\pi\) | |||||||
\(878\) | 19085.5 | − | 11019.0i | 0.733603 | − | 0.423546i | ||||
\(879\) | 5997.00 | + | 10387.1i | 0.230118 | + | 0.398576i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9303.00 | −0.355762 | −0.177881 | − | 0.984052i | \(-0.556924\pi\) | ||||
−0.177881 | + | 0.984052i | \(0.556924\pi\) | |||||||
\(882\) | −8784.10 | − | 21976.5i | −0.335347 | − | 0.838988i | ||||
\(883\) | − | 14728.0i | − | 0.561310i | −0.959809 | − | 0.280655i | \(-0.909448\pi\) | ||
0.959809 | − | 0.280655i | \(-0.0905517\pi\) | |||||||
\(884\) | −1593.00 | + | 2759.16i | −0.0606090 | + | 0.104978i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18.0000 | − | 31.1769i | −0.000682530 | − | 0.00118218i | ||||
\(887\) | −14736.3 | − | 8508.00i | −0.557831 | − | 0.322064i | 0.194443 | − | 0.980914i | \(-0.437710\pi\) |
−0.752274 | + | 0.658850i | \(0.771043\pi\) | |||||||
\(888\) | − | 10878.0i | − | 0.411083i | ||||||
\(889\) | 11242.0 | − | 9735.86i | 0.424122 | − | 0.367301i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 9472.50 | − | 16406.9i | 0.356162 | − | 0.616891i | ||||
\(892\) | 4295.49 | − | 2480.00i | 0.161237 | − | 0.0930903i | ||||
\(893\) | −4715.51 | + | 2722.50i | −0.176706 | + | 0.102021i | ||||
\(894\) | 3258.00 | − | 5643.02i | 0.121883 | − | 0.211108i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −5806.50 | − | 30171.5i | −0.216497 | − | 1.12495i | ||||
\(897\) | 8142.00i | 0.303070i | ||||||||
\(898\) | −25120.8 | − | 14503.5i | −0.933510 | − | 0.538962i | ||||
\(899\) | 7128.00 | + | 12346.1i | 0.264441 | + | 0.458025i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16119.0 | − | 27918.9i | 0.596006 | − | 1.03231i | ||||
\(902\) | 26325.0i | 0.971759i | ||||||||
\(903\) | −3467.57 | + | 10010.0i | −0.127789 | + | 0.368895i | ||||
\(904\) | −29232.0 | −1.07549 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −8598.00 | − | 14892.2i | −0.315286 | − | 0.546092i | ||||
\(907\) | 21583.1 | − | 12461.0i | 0.790137 | − | 0.456186i | −0.0498735 | − | 0.998756i | \(-0.515882\pi\) |
0.840011 | + | 0.542570i | \(0.182548\pi\) | |||||||
\(908\) | 1299.04 | + | 750.000i | 0.0474781 | + | 0.0274115i | ||||
\(909\) | 15732.0 | 0.574035 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 30714.0 | 1.11701 | 0.558507 | − | 0.829500i | \(-0.311374\pi\) | ||||
0.558507 | + | 0.829500i | \(0.311374\pi\) | |||||||
\(912\) | −14880.0 | − | 8591.00i | −0.540272 | − | 0.311926i | ||||
\(913\) | −29929.8 | + | 17280.0i | −1.08492 | + | 0.626380i | ||||
\(914\) | −14451.0 | − | 25029.9i | −0.522972 | − | 0.905814i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 6092.00 | 0.219744 | ||||||||
\(917\) | −36718.6 | + | 7066.50i | −1.32231 | + | 0.254478i | ||||
\(918\) | − | 16200.0i | − | 0.582440i | ||||||
\(919\) | 8713.00 | − | 15091.4i | 0.312748 | − | 0.541695i | −0.666208 | − | 0.745766i | \(-0.732084\pi\) |
0.978956 | + | 0.204070i | \(0.0654172\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6226.00 | − | 10783.7i | −0.222751 | − | 0.385816i | ||||
\(922\) | −888.542 | − | 513.000i | −0.0317382 | − | 0.0183240i | ||||
\(923\) | 2832.00i | 0.100993i | ||||||||
\(924\) | 1260.00 | − | 1091.19i | 0.0448603 | − | 0.0388502i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −3616.50 | + | 6263.96i | −0.128343 | + | 0.222296i | ||||
\(927\) | −30196.6 | + | 17434.0i | −1.06989 | + | 0.617700i | ||||
\(928\) | 6313.33 | − | 3645.00i | 0.223324 | − | 0.128936i | ||||
\(929\) | 13324.5 | − | 23078.7i | 0.470573 | − | 0.815057i | −0.528860 | − | 0.848709i | \(-0.677380\pi\) |
0.999434 | + | 0.0336519i | \(0.0107138\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −32609.5 | − | 25673.3i | −1.14794 | − | 0.903769i | ||||
\(932\) | − | 138.000i | − | 0.00485015i | ||||||
\(933\) | 8106.00 | + | 4680.00i | 0.284436 | + | 0.164219i | ||||
\(934\) | −1809.00 | − | 3133.28i | −0.0633750 | − | 0.109769i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −14248.5 | + | 24679.1i | −0.497571 | + | 0.861819i | ||||
\(937\) | − | 27686.0i | − | 0.965274i | −0.875820 | − | 0.482637i | \(-0.839679\pi\) | ||
0.875820 | − | 0.482637i | \(-0.160321\pi\) | |||||||
\(938\) | 10184.5 | + | 11760.0i | 0.354514 | + | 0.409358i | ||||
\(939\) | 2056.00 | 0.0714537 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 8904.00 | + | 15422.2i | 0.308461 | + | 0.534271i | 0.978026 | − | 0.208483i | \(-0.0668526\pi\) |
−0.669565 | + | 0.742754i | \(0.733519\pi\) | |||||||
\(942\) | −1189.92 | + | 687.000i | −0.0411567 | + | 0.0237619i | ||||
\(943\) | −11652.4 | − | 6727.50i | −0.402390 | − | 0.232320i | ||||
\(944\) | −25560.0 | −0.881258 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 38610.0 | 1.32698 | ||||||||
\(947\) | −5980.77 | − | 3453.00i | −0.205226 | − | 0.118487i | 0.393865 | − | 0.919168i | \(-0.371138\pi\) |
−0.599091 | + | 0.800681i | \(0.704471\pi\) | |||||||
\(948\) | −1354.46 | + | 782.000i | −0.0464039 | + | 0.0267913i | ||||
\(949\) | 19706.0 | + | 34131.8i | 0.674061 | + | 1.16751i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −17244.0 | −0.587986 | ||||||||
\(952\) | 6874.51 | − | 19845.0i | 0.234038 | − | 0.675609i | ||||
\(953\) | − | 20940.0i | − | 0.711766i | −0.934530 | − | 0.355883i | \(-0.884180\pi\) | ||
0.934530 | − | 0.355883i | \(-0.115820\pi\) | |||||||
\(954\) | −20596.5 | + | 35674.2i | −0.698990 | + | 1.21069i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 2751.00 | + | 4764.87i | 0.0930687 | + | 0.161200i | ||||
\(957\) | −12626.7 | − | 7290.00i | −0.426501 | − | 0.246241i | ||||
\(958\) | − | 1296.00i | − | 0.0437076i | ||||||
\(959\) | −1050.00 | − | 363.731i | −0.0353559 | − | 0.0122476i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11023.5 | − | 19093.3i | 0.370028 | − | 0.640907i | ||||
\(962\) | 39701.2 | − | 22921.5i | 1.33058 | − | 0.768211i | ||||
\(963\) | 14580.4 | − | 8418.00i | 0.487899 | − | 0.281689i | ||||
\(964\) | 1775.50 | − | 3075.26i | 0.0593205 | − | 0.102746i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 1449.00 | + | 7529.22i | 0.0482617 | + | 0.250775i | ||||
\(967\) | − | 9176.00i | − | 0.305150i | −0.988292 | − | 0.152575i | \(-0.951243\pi\) | ||
0.988292 | − | 0.152575i | \(-0.0487566\pi\) | |||||||
\(968\) | 12621.5 | + | 7287.00i | 0.419079 | + | 0.241956i | ||||
\(969\) | −6534.00 | − | 11317.2i | −0.216617 | − | 0.375192i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −14881.5 | + | 25775.5i | −0.491833 | + | 0.851880i | −0.999956 | − | 0.00940465i | \(-0.997006\pi\) |
0.508123 | + | 0.861285i | \(0.330340\pi\) | |||||||
\(972\) | 3542.00i | 0.116882i | ||||||||
\(973\) | 20708.4 | + | 23912.0i | 0.682303 | + | 0.787856i | ||||
\(974\) | 35688.0 | 1.17404 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 13916.0 | + | 24103.2i | 0.456394 | + | 0.790497i | ||||
\(977\) | 33333.3 | − | 19245.0i | 1.09153 | − | 0.630197i | 0.157548 | − | 0.987511i | \(-0.449641\pi\) |
0.933984 | + | 0.357315i | \(0.116308\pi\) | |||||||
\(978\) | −6380.88 | − | 3684.00i | −0.208628 | − | 0.120451i | ||||
\(979\) | −53730.0 | −1.75405 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 36800.0 | 1.19769 | ||||||||
\(982\) | −31894.0 | − | 18414.0i | −1.03643 | − | 0.598385i | ||||
\(983\) | −10919.7 | + | 6304.50i | −0.354308 | + | 0.204560i | −0.666581 | − | 0.745433i | \(-0.732243\pi\) |
0.312273 | + | 0.949992i | \(0.398910\pi\) | |||||||
\(984\) | 4095.00 | + | 7092.75i | 0.132666 | + | 0.229785i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 26244.0 | 0.847646 | ||||||||
\(987\) | −1091.19 | − | 1260.00i | −0.0351905 | − | 0.0406345i | ||||
\(988\) | − | 7139.00i | − | 0.229880i | ||||||
\(989\) | −9867.00 | + | 17090.1i | −0.317242 | + | 0.549479i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −9910.00 | − | 17164.6i | −0.317660 | − | 0.550204i | 0.662339 | − | 0.749204i | \(-0.269564\pi\) |
−0.979999 | + | 0.199000i | \(0.936231\pi\) | |||||||
\(992\) | 3429.46 | + | 1980.00i | 0.109764 | + | 0.0633720i | ||||
\(993\) | 3998.00i | 0.127767i | ||||||||
\(994\) | 504.000 | + | 2618.86i | 0.0160824 | + | 0.0835666i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 768.000 | − | 1330.22i | 0.0244327 | − | 0.0423188i | ||||
\(997\) | −39866.6 | + | 23017.0i | −1.26639 | + | 0.731149i | −0.974303 | − | 0.225243i | \(-0.927682\pi\) |
−0.292085 | + | 0.956392i | \(0.594349\pi\) | |||||||
\(998\) | −28256.7 | + | 16314.0i | −0.896242 | + | 0.517446i | ||||
\(999\) | −12950.0 | + | 22430.1i | −0.410130 | + | 0.710366i |
(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 | 175.4.k.b.149.2 | 4 | ||
5.2 | odd | 4 | 35.4.e.a.16.1 | yes | 2 | ||
5.3 | odd | 4 | 175.4.e.b.51.1 | 2 | |||
5.4 | even | 2 | inner | 175.4.k.b.149.1 | 4 | ||
7.4 | even | 3 | inner | 175.4.k.b.74.1 | 4 | ||
15.2 | even | 4 | 315.4.j.b.226.1 | 2 | |||
20.7 | even | 4 | 560.4.q.b.401.1 | 2 | |||
35.2 | odd | 12 | 245.4.a.e.1.1 | 1 | |||
35.4 | even | 6 | inner | 175.4.k.b.74.2 | 4 | ||
35.12 | even | 12 | 245.4.a.f.1.1 | 1 | |||
35.17 | even | 12 | 245.4.e.a.116.1 | 2 | |||
35.18 | odd | 12 | 175.4.e.b.151.1 | 2 | |||
35.23 | odd | 12 | 1225.4.a.b.1.1 | 1 | |||
35.27 | even | 4 | 245.4.e.a.226.1 | 2 | |||
35.32 | odd | 12 | 35.4.e.a.11.1 | ✓ | 2 | ||
35.33 | even | 12 | 1225.4.a.a.1.1 | 1 | |||
105.2 | even | 12 | 2205.4.a.e.1.1 | 1 | |||
105.32 | even | 12 | 315.4.j.b.46.1 | 2 | |||
105.47 | odd | 12 | 2205.4.a.g.1.1 | 1 | |||
140.67 | even | 12 | 560.4.q.b.81.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.4.e.a.11.1 | ✓ | 2 | 35.32 | odd | 12 | ||
35.4.e.a.16.1 | yes | 2 | 5.2 | odd | 4 | ||
175.4.e.b.51.1 | 2 | 5.3 | odd | 4 | |||
175.4.e.b.151.1 | 2 | 35.18 | odd | 12 | |||
175.4.k.b.74.1 | 4 | 7.4 | even | 3 | inner | ||
175.4.k.b.74.2 | 4 | 35.4 | even | 6 | inner | ||
175.4.k.b.149.1 | 4 | 5.4 | even | 2 | inner | ||
175.4.k.b.149.2 | 4 | 1.1 | even | 1 | trivial | ||
245.4.a.e.1.1 | 1 | 35.2 | odd | 12 | |||
245.4.a.f.1.1 | 1 | 35.12 | even | 12 | |||
245.4.e.a.116.1 | 2 | 35.17 | even | 12 | |||
245.4.e.a.226.1 | 2 | 35.27 | even | 4 | |||
315.4.j.b.46.1 | 2 | 105.32 | even | 12 | |||
315.4.j.b.226.1 | 2 | 15.2 | even | 4 | |||
560.4.q.b.81.1 | 2 | 140.67 | even | 12 | |||
560.4.q.b.401.1 | 2 | 20.7 | even | 4 | |||
1225.4.a.a.1.1 | 1 | 35.33 | even | 12 | |||
1225.4.a.b.1.1 | 1 | 35.23 | odd | 12 | |||
2205.4.a.e.1.1 | 1 | 105.2 | even | 12 | |||
2205.4.a.g.1.1 | 1 | 105.47 | odd | 12 |