Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(3,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.h (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 21.5 | ||
Character | \(\chi\) | \(=\) | 74.21 |
Dual form | 74.4.h.a.67.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.684040 | + | 1.87939i | −0.241845 | + | 0.664463i | ||||
\(3\) | 8.12302 | − | 2.95654i | 1.56328 | − | 0.568986i | 0.591791 | − | 0.806091i | \(-0.298421\pi\) |
0.971484 | + | 0.237105i | \(0.0761987\pi\) | |||||||
\(4\) | −3.06418 | − | 2.57115i | −0.383022 | − | 0.321394i | ||||
\(5\) | 5.91804 | + | 1.04351i | 0.529325 | + | 0.0933343i | 0.431922 | − | 0.901911i | \(-0.357835\pi\) |
0.0974027 | + | 0.995245i | \(0.468947\pi\) | |||||||
\(6\) | 17.2887i | 1.17634i | ||||||||
\(7\) | 0.991911 | − | 5.62541i | 0.0535582 | − | 0.303743i | −0.946248 | − | 0.323443i | \(-0.895160\pi\) |
0.999806 | + | 0.0196992i | \(0.00627085\pi\) | |||||||
\(8\) | 6.92820 | − | 4.00000i | 0.306186 | − | 0.176777i | ||||
\(9\) | 36.5591 | − | 30.6767i | 1.35404 | − | 1.13618i | ||||
\(10\) | −6.00933 | + | 10.4085i | −0.190032 | + | 0.329145i | ||||
\(11\) | −5.57191 | − | 9.65083i | −0.152727 | − | 0.264530i | 0.779502 | − | 0.626399i | \(-0.215472\pi\) |
−0.932229 | + | 0.361869i | \(0.882139\pi\) | |||||||
\(12\) | −32.4921 | − | 11.8261i | −0.781638 | − | 0.284493i | ||||
\(13\) | −10.4325 | + | 12.4329i | −0.222572 | + | 0.265252i | −0.865763 | − | 0.500455i | \(-0.833166\pi\) |
0.643190 | + | 0.765707i | \(0.277611\pi\) | |||||||
\(14\) | 9.89380 | + | 5.71219i | 0.188874 | + | 0.109046i | ||||
\(15\) | 51.1575 | − | 9.02044i | 0.880587 | − | 0.155271i | ||||
\(16\) | 2.77837 | + | 15.7569i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 14.7681 | + | 17.5999i | 0.210693 | + | 0.251094i | 0.861033 | − | 0.508549i | \(-0.169818\pi\) |
−0.650340 | + | 0.759643i | \(0.725373\pi\) | |||||||
\(18\) | 32.6455 | + | 89.6927i | 0.427479 | + | 1.17449i | ||||
\(19\) | 54.8812 | + | 150.785i | 0.662663 | + | 1.82065i | 0.564416 | + | 0.825490i | \(0.309101\pi\) |
0.0982471 | + | 0.995162i | \(0.468676\pi\) | |||||||
\(20\) | −15.4509 | − | 18.4137i | −0.172746 | − | 0.205871i | ||||
\(21\) | −8.57441 | − | 48.6279i | −0.0890995 | − | 0.505308i | ||||
\(22\) | 21.9490 | − | 3.87021i | 0.212707 | − | 0.0375060i | ||||
\(23\) | −69.8082 | − | 40.3038i | −0.632870 | − | 0.365388i | 0.148993 | − | 0.988838i | \(-0.452397\pi\) |
−0.781863 | + | 0.623451i | \(0.785730\pi\) | |||||||
\(24\) | 44.4518 | − | 52.9756i | 0.378070 | − | 0.450566i | ||||
\(25\) | −83.5273 | − | 30.4015i | −0.668219 | − | 0.243212i | ||||
\(26\) | −16.2300 | − | 28.1112i | −0.122422 | − | 0.212041i | ||||
\(27\) | 89.5748 | − | 155.148i | 0.638470 | − | 1.10586i | ||||
\(28\) | −17.5032 | + | 14.6869i | −0.118135 | + | 0.0991272i | ||||
\(29\) | −114.307 | + | 65.9949i | −0.731938 | + | 0.422584i | −0.819131 | − | 0.573607i | \(-0.805544\pi\) |
0.0871930 | + | 0.996191i | \(0.472210\pi\) | |||||||
\(30\) | −18.0409 | + | 102.315i | −0.109793 | + | 0.622669i | ||||
\(31\) | − | 166.351i | − | 0.963792i | −0.876228 | − | 0.481896i | \(-0.839948\pi\) | ||
0.876228 | − | 0.481896i | \(-0.160052\pi\) | |||||||
\(32\) | −31.5138 | − | 5.55674i | −0.174091 | − | 0.0306970i | ||||
\(33\) | −73.7938 | − | 61.9203i | −0.389268 | − | 0.326635i | ||||
\(34\) | −43.1790 | + | 15.7159i | −0.217798 | + | 0.0792720i | ||||
\(35\) | 11.7403 | − | 32.2563i | 0.0566994 | − | 0.155780i | ||||
\(36\) | −190.898 | −0.883787 | ||||||||
\(37\) | −174.082 | − | 142.648i | −0.773484 | − | 0.633816i | ||||
\(38\) | −320.924 | −1.37002 | ||||||||
\(39\) | −47.9846 | + | 131.837i | −0.197018 | + | 0.541302i | ||||
\(40\) | 45.1754 | − | 16.4425i | 0.178571 | − | 0.0649947i | ||||
\(41\) | −276.545 | − | 232.049i | −1.05339 | − | 0.883902i | −0.0599468 | − | 0.998202i | \(-0.519093\pi\) |
−0.993446 | + | 0.114300i | \(0.963538\pi\) | |||||||
\(42\) | 97.2558 | + | 17.1488i | 0.357307 | + | 0.0630029i | ||||
\(43\) | 367.642i | 1.30383i | 0.758290 | + | 0.651917i | \(0.226035\pi\) | ||||
−0.758290 | + | 0.651917i | \(0.773965\pi\) | |||||||
\(44\) | −7.74042 | + | 43.8981i | −0.0265207 | + | 0.150406i | ||||
\(45\) | 248.370 | − | 143.396i | 0.822772 | − | 0.475028i | ||||
\(46\) | 123.498 | − | 103.627i | 0.395843 | − | 0.332152i | ||||
\(47\) | 71.4140 | − | 123.693i | 0.221634 | − | 0.383882i | −0.733670 | − | 0.679506i | \(-0.762194\pi\) |
0.955304 | + | 0.295624i | \(0.0955276\pi\) | |||||||
\(48\) | 69.1547 | + | 119.779i | 0.207950 | + | 0.360181i | ||||
\(49\) | 291.653 | + | 106.153i | 0.850301 | + | 0.309484i | ||||
\(50\) | 114.272 | − | 136.184i | 0.323210 | − | 0.385187i | ||||
\(51\) | 171.996 | + | 99.3020i | 0.472241 | + | 0.272648i | ||||
\(52\) | 63.9338 | − | 11.2733i | 0.170500 | − | 0.0300638i | ||||
\(53\) | 68.0340 | + | 385.840i | 0.176324 | + | 0.999984i | 0.936604 | + | 0.350389i | \(0.113951\pi\) |
−0.760280 | + | 0.649595i | \(0.774938\pi\) | |||||||
\(54\) | 230.310 | + | 274.473i | 0.580394 | + | 0.691686i | ||||
\(55\) | −22.9040 | − | 62.9283i | −0.0561523 | − | 0.154277i | ||||
\(56\) | −15.6295 | − | 42.9416i | −0.0372960 | − | 0.102470i | ||||
\(57\) | 891.601 | + | 1062.57i | 2.07185 | + | 2.46914i | ||||
\(58\) | −45.8396 | − | 259.969i | −0.103776 | − | 0.588545i | ||||
\(59\) | −708.221 | + | 124.878i | −1.56275 | + | 0.275556i | −0.887070 | − | 0.461636i | \(-0.847263\pi\) |
−0.675684 | + | 0.737191i | \(0.736152\pi\) | |||||||
\(60\) | −179.949 | − | 103.893i | −0.387188 | − | 0.223543i | ||||
\(61\) | 566.029 | − | 674.567i | 1.18808 | − | 1.41589i | 0.301402 | − | 0.953497i | \(-0.402545\pi\) |
0.886673 | − | 0.462396i | \(-0.153010\pi\) | |||||||
\(62\) | 312.638 | + | 113.791i | 0.640404 | + | 0.233088i | ||||
\(63\) | −136.306 | − | 236.088i | −0.272586 | − | 0.472132i | ||||
\(64\) | 32.0000 | − | 55.4256i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −74.7135 | + | 62.6921i | −0.142570 | + | 0.119631i | ||||
\(66\) | 166.850 | − | 96.3309i | 0.311179 | − | 0.179659i | ||||
\(67\) | −41.8659 | + | 237.433i | −0.0763393 | + | 0.432942i | 0.922552 | + | 0.385872i | \(0.126099\pi\) |
−0.998892 | + | 0.0470696i | \(0.985012\pi\) | |||||||
\(68\) | − | 91.9002i | − | 0.163890i | ||||||
\(69\) | −686.212 | − | 120.998i | −1.19725 | − | 0.211107i | ||||
\(70\) | 52.5911 | + | 44.1292i | 0.0897978 | + | 0.0753493i | ||||
\(71\) | −700.065 | + | 254.803i | −1.17018 | + | 0.425909i | −0.852722 | − | 0.522365i | \(-0.825050\pi\) |
−0.317453 | + | 0.948274i | \(0.602828\pi\) | |||||||
\(72\) | 130.582 | − | 358.771i | 0.213739 | − | 0.587244i | ||||
\(73\) | 413.583 | 0.663099 | 0.331550 | − | 0.943438i | \(-0.392429\pi\) | ||||
0.331550 | + | 0.943438i | \(0.392429\pi\) | |||||||
\(74\) | 387.170 | − | 229.590i | 0.608210 | − | 0.360666i | ||||
\(75\) | −768.377 | −1.18299 | ||||||||
\(76\) | 219.525 | − | 603.139i | 0.331332 | − | 0.910326i | ||||
\(77\) | −59.8167 | + | 21.7715i | −0.0885292 | + | 0.0322220i | ||||
\(78\) | −214.949 | − | 180.363i | −0.312027 | − | 0.261822i | ||||
\(79\) | 260.586 | + | 45.9483i | 0.371116 | + | 0.0654378i | 0.356096 | − | 0.934449i | \(-0.384108\pi\) |
0.0150202 | + | 0.999887i | \(0.495219\pi\) | |||||||
\(80\) | 96.1493i | 0.134373i | ||||||||
\(81\) | 45.1602 | − | 256.116i | 0.0619482 | − | 0.351326i | ||||
\(82\) | 625.278 | − | 361.004i | 0.842078 | − | 0.486174i | ||||
\(83\) | 320.518 | − | 268.947i | 0.423873 | − | 0.355672i | −0.405761 | − | 0.913979i | \(-0.632994\pi\) |
0.829634 | + | 0.558307i | \(0.188549\pi\) | |||||||
\(84\) | −98.7561 | + | 171.051i | −0.128276 | + | 0.222180i | ||||
\(85\) | 69.0324 | + | 119.568i | 0.0880895 | + | 0.152576i | ||||
\(86\) | −690.941 | − | 251.482i | −0.866350 | − | 0.315326i | ||||
\(87\) | −733.398 | + | 874.029i | −0.903775 | + | 1.07708i | ||||
\(88\) | −77.2066 | − | 44.5753i | −0.0935256 | − | 0.0539971i | ||||
\(89\) | 1034.67 | − | 182.440i | 1.23230 | − | 0.217288i | 0.480689 | − | 0.876891i | \(-0.340387\pi\) |
0.751614 | + | 0.659603i | \(0.229276\pi\) | |||||||
\(90\) | 99.6020 | + | 564.871i | 0.116655 | + | 0.661585i | ||||
\(91\) | 59.5921 | + | 71.0191i | 0.0686478 | + | 0.0818113i | ||||
\(92\) | 110.278 | + | 302.985i | 0.124970 | + | 0.343352i | ||||
\(93\) | −491.823 | − | 1351.27i | −0.548384 | − | 1.50667i | ||||
\(94\) | 183.616 | + | 218.825i | 0.201474 | + | 0.240108i | ||||
\(95\) | 167.443 | + | 949.619i | 0.180835 | + | 1.02557i | ||||
\(96\) | −272.416 | + | 48.0343i | −0.289618 | + | 0.0510675i | ||||
\(97\) | 1611.54 | + | 930.424i | 1.68688 | + | 0.973920i | 0.956886 | + | 0.290465i | \(0.0938101\pi\) |
0.729993 | + | 0.683454i | \(0.239523\pi\) | |||||||
\(98\) | −399.005 | + | 475.516i | −0.411282 | + | 0.490146i | ||||
\(99\) | −499.760 | − | 181.898i | −0.507351 | − | 0.184661i | ||||
\(100\) | 177.776 | + | 307.917i | 0.177776 | + | 0.307917i | ||||
\(101\) | −37.3409 | + | 64.6763i | −0.0367877 | + | 0.0637181i | −0.883833 | − | 0.467802i | \(-0.845046\pi\) |
0.847045 | + | 0.531521i | \(0.178379\pi\) | |||||||
\(102\) | −304.279 | + | 255.320i | −0.295374 | + | 0.247848i | ||||
\(103\) | 289.302 | − | 167.029i | 0.276756 | − | 0.159785i | −0.355198 | − | 0.934791i | \(-0.615587\pi\) |
0.631954 | + | 0.775006i | \(0.282253\pi\) | |||||||
\(104\) | −22.5465 | + | 127.868i | −0.0212583 | + | 0.120562i | ||||
\(105\) | − | 296.729i | − | 0.275789i | ||||||
\(106\) | −771.680 | − | 136.068i | −0.707096 | − | 0.124680i | ||||
\(107\) | −703.124 | − | 589.991i | −0.635267 | − | 0.533052i | 0.267294 | − | 0.963615i | \(-0.413871\pi\) |
−0.902561 | + | 0.430563i | \(0.858315\pi\) | |||||||
\(108\) | −673.382 | + | 245.091i | −0.599965 | + | 0.218369i | ||||
\(109\) | 67.6429 | − | 185.847i | 0.0594405 | − | 0.163311i | −0.906418 | − | 0.422382i | \(-0.861194\pi\) |
0.965858 | + | 0.259071i | \(0.0834163\pi\) | |||||||
\(110\) | 133.934 | 0.116092 | ||||||||
\(111\) | −1835.81 | − | 644.053i | −1.56980 | − | 0.550728i | ||||
\(112\) | 91.3950 | 0.0771073 | ||||||||
\(113\) | 459.586 | − | 1262.70i | 0.382604 | − | 1.05120i | −0.587652 | − | 0.809114i | \(-0.699947\pi\) |
0.970256 | − | 0.242082i | \(-0.0778303\pi\) | |||||||
\(114\) | −2606.87 | + | 948.822i | −2.14172 | + | 0.779521i | ||||
\(115\) | −371.070 | − | 311.365i | −0.300891 | − | 0.252477i | ||||
\(116\) | 519.938 | + | 91.6792i | 0.416164 | + | 0.0733810i | ||||
\(117\) | 774.570i | 0.612043i | ||||||||
\(118\) | 249.757 | − | 1416.44i | 0.194847 | − | 1.10503i | ||||
\(119\) | 113.655 | − | 65.6189i | 0.0875526 | − | 0.0505485i | ||||
\(120\) | 318.348 | − | 267.125i | 0.242175 | − | 0.203209i | ||||
\(121\) | 603.408 | − | 1045.13i | 0.453349 | − | 0.785224i | ||||
\(122\) | 880.585 | + | 1525.22i | 0.653479 | + | 1.13186i | ||||
\(123\) | −2932.44 | − | 1067.32i | −2.14967 | − | 0.782416i | ||||
\(124\) | −427.714 | + | 509.729i | −0.309757 | + | 0.369154i | ||||
\(125\) | −1113.12 | − | 642.662i | −0.796486 | − | 0.459851i | ||||
\(126\) | 536.940 | − | 94.6770i | 0.379638 | − | 0.0669404i | ||||
\(127\) | 73.3216 | + | 415.828i | 0.0512303 | + | 0.290541i | 0.999649 | − | 0.0264779i | \(-0.00842916\pi\) |
−0.948419 | + | 0.317019i | \(0.897318\pi\) | |||||||
\(128\) | 82.2768 | + | 98.0537i | 0.0568149 | + | 0.0677094i | ||||
\(129\) | 1086.95 | + | 2986.36i | 0.741863 | + | 2.03825i | ||||
\(130\) | −66.7155 | − | 183.299i | −0.0450103 | − | 0.123665i | ||||
\(131\) | 1440.31 | + | 1716.49i | 0.960613 | + | 1.14481i | 0.989398 | + | 0.145228i | \(0.0463916\pi\) |
−0.0287855 | + | 0.999586i | \(0.509164\pi\) | |||||||
\(132\) | 66.9107 | + | 379.470i | 0.0441199 | + | 0.250217i | ||||
\(133\) | 902.663 | − | 159.164i | 0.588502 | − | 0.103769i | ||||
\(134\) | −417.591 | − | 241.096i | −0.269211 | − | 0.155429i | ||||
\(135\) | 692.006 | − | 824.700i | 0.441173 | − | 0.525769i | ||||
\(136\) | 172.716 | + | 62.8635i | 0.108899 | + | 0.0396360i | ||||
\(137\) | −558.079 | − | 966.622i | −0.348029 | − | 0.602803i | 0.637870 | − | 0.770144i | \(-0.279816\pi\) |
−0.985899 | + | 0.167340i | \(0.946482\pi\) | |||||||
\(138\) | 696.798 | − | 1206.89i | 0.429822 | − | 0.744473i | ||||
\(139\) | 1787.70 | − | 1500.05i | 1.09087 | − | 0.915345i | 0.0940886 | − | 0.995564i | \(-0.470006\pi\) |
0.996777 | + | 0.0802186i | \(0.0255619\pi\) | |||||||
\(140\) | −118.910 | + | 68.6529i | −0.0717839 | + | 0.0414445i | ||||
\(141\) | 214.395 | − | 1215.90i | 0.128052 | − | 0.726219i | ||||
\(142\) | − | 1489.99i | − | 0.880542i | ||||||
\(143\) | 178.117 | + | 31.4068i | 0.104160 | + | 0.0183662i | ||||
\(144\) | 584.946 | + | 490.828i | 0.338510 | + | 0.284044i | ||||
\(145\) | −745.336 | + | 271.280i | −0.426875 | + | 0.155370i | ||||
\(146\) | −282.908 | + | 777.282i | −0.160367 | + | 0.440605i | ||||
\(147\) | 2682.95 | 1.50535 | ||||||||
\(148\) | 166.648 | + | 884.690i | 0.0925569 | + | 0.491359i | ||||
\(149\) | 1059.15 | 0.582344 | 0.291172 | − | 0.956671i | \(-0.405955\pi\) | ||||
0.291172 | + | 0.956671i | \(0.405955\pi\) | |||||||
\(150\) | 525.601 | − | 1444.08i | 0.286101 | − | 0.786056i | ||||
\(151\) | −2288.95 | + | 833.109i | −1.23359 | + | 0.448990i | −0.874825 | − | 0.484439i | \(-0.839024\pi\) |
−0.358764 | + | 0.933428i | \(0.616802\pi\) | |||||||
\(152\) | 983.367 | + | 825.143i | 0.524747 | + | 0.440315i | ||||
\(153\) | 1079.82 | + | 190.401i | 0.570575 | + | 0.100608i | ||||
\(154\) | − | 127.311i | − | 0.0666171i | ||||||
\(155\) | 173.589 | − | 984.472i | 0.0899549 | − | 0.510159i | ||||
\(156\) | 486.005 | − | 280.595i | 0.249433 | − | 0.144010i | ||||
\(157\) | −108.387 | + | 90.9473i | −0.0550969 | + | 0.0462318i | −0.669920 | − | 0.742433i | \(-0.733672\pi\) |
0.614823 | + | 0.788665i | \(0.289227\pi\) | |||||||
\(158\) | −264.606 | + | 458.310i | −0.133233 | + | 0.230767i | ||||
\(159\) | 1693.39 | + | 2933.04i | 0.844620 | + | 1.46292i | ||||
\(160\) | −180.702 | − | 65.7700i | −0.0892857 | − | 0.0324973i | ||||
\(161\) | −295.969 | + | 352.722i | −0.144879 | + | 0.172661i | ||||
\(162\) | 450.450 | + | 260.067i | 0.218461 | + | 0.126129i | ||||
\(163\) | −972.977 | + | 171.562i | −0.467543 | + | 0.0824404i | −0.402456 | − | 0.915439i | \(-0.631843\pi\) |
−0.0650865 | + | 0.997880i | \(0.520732\pi\) | |||||||
\(164\) | 250.751 | + | 1422.08i | 0.119392 | + | 0.677108i | ||||
\(165\) | −372.100 | − | 443.451i | −0.175563 | − | 0.209228i | ||||
\(166\) | 286.207 | + | 786.348i | 0.133819 | + | 0.367665i | ||||
\(167\) | −991.629 | − | 2724.48i | −0.459488 | − | 1.26243i | −0.925867 | − | 0.377849i | \(-0.876664\pi\) |
0.466379 | − | 0.884585i | \(-0.345558\pi\) | |||||||
\(168\) | −253.917 | − | 302.606i | −0.116608 | − | 0.138968i | ||||
\(169\) | 335.764 | + | 1904.21i | 0.152828 | + | 0.866732i | ||||
\(170\) | −271.934 | + | 47.9494i | −0.122685 | + | 0.0216326i | ||||
\(171\) | 6631.99 | + | 3828.98i | 2.96585 | + | 1.71234i | ||||
\(172\) | 945.263 | − | 1126.52i | 0.419044 | − | 0.499398i | ||||
\(173\) | −1142.57 | − | 415.863i | −0.502129 | − | 0.182760i | 0.0785223 | − | 0.996912i | \(-0.474980\pi\) |
−0.580651 | + | 0.814152i | \(0.697202\pi\) | |||||||
\(174\) | −1140.96 | − | 1976.21i | −0.497105 | − | 0.861011i | ||||
\(175\) | −253.872 | + | 439.720i | −0.109663 | + | 0.189941i | ||||
\(176\) | 136.587 | − | 114.610i | 0.0584977 | − | 0.0490854i | ||||
\(177\) | −5383.68 | + | 3108.27i | −2.28623 | + | 1.31995i | ||||
\(178\) | −364.881 | + | 2069.34i | −0.153646 | + | 0.871370i | ||||
\(179\) | 1252.74i | 0.523098i | 0.965190 | + | 0.261549i | \(0.0842333\pi\) | ||||
−0.965190 | + | 0.261549i | \(0.915767\pi\) | |||||||
\(180\) | −1129.74 | − | 199.204i | −0.467811 | − | 0.0824877i | ||||
\(181\) | −2975.09 | − | 2496.40i | −1.22175 | − | 1.02517i | −0.998731 | − | 0.0503561i | \(-0.983964\pi\) |
−0.223019 | − | 0.974814i | \(-0.571591\pi\) | |||||||
\(182\) | −174.236 | + | 63.4166i | −0.0709627 | + | 0.0258283i | ||||
\(183\) | 2603.48 | − | 7153.01i | 1.05167 | − | 2.88943i | ||||
\(184\) | −644.860 | −0.258368 | ||||||||
\(185\) | −881.369 | − | 1025.85i | −0.350268 | − | 0.407687i | ||||
\(186\) | 2875.99 | 1.13375 | ||||||||
\(187\) | 87.5674 | − | 240.589i | 0.0342436 | − | 0.0940836i | ||||
\(188\) | −536.858 | + | 195.400i | −0.208268 | + | 0.0758034i | ||||
\(189\) | −783.921 | − | 657.788i | −0.301703 | − | 0.253159i | ||||
\(190\) | −1899.24 | − | 334.887i | −0.725185 | − | 0.127870i | ||||
\(191\) | − | 577.267i | − | 0.218689i | −0.994004 | − | 0.109344i | \(-0.965125\pi\) | ||
0.994004 | − | 0.109344i | \(-0.0348751\pi\) | |||||||
\(192\) | 96.0687 | − | 544.832i | 0.0361102 | − | 0.204791i | ||||
\(193\) | 1484.98 | − | 857.351i | 0.553839 | − | 0.319759i | −0.196830 | − | 0.980438i | \(-0.563065\pi\) |
0.750669 | + | 0.660679i | \(0.229731\pi\) | |||||||
\(194\) | −2850.98 | + | 2392.26i | −1.05510 | + | 0.885331i | ||||
\(195\) | −421.548 | + | 730.142i | −0.154808 | + | 0.268136i | ||||
\(196\) | −620.742 | − | 1075.16i | −0.226218 | − | 0.391821i | ||||
\(197\) | 997.079 | + | 362.907i | 0.360604 | + | 0.131249i | 0.515967 | − | 0.856608i | \(-0.327433\pi\) |
−0.155363 | + | 0.987857i | \(0.549655\pi\) | |||||||
\(198\) | 683.712 | − | 814.816i | 0.245400 | − | 0.292457i | ||||
\(199\) | 2839.09 | + | 1639.15i | 1.01135 | + | 0.583901i | 0.911585 | − | 0.411111i | \(-0.134859\pi\) |
0.0997603 | + | 0.995011i | \(0.468192\pi\) | |||||||
\(200\) | −700.300 | + | 123.482i | −0.247594 | + | 0.0436574i | ||||
\(201\) | 361.903 | + | 2052.45i | 0.126998 | + | 0.720243i | ||||
\(202\) | −96.0090 | − | 114.419i | −0.0334414 | − | 0.0398540i | ||||
\(203\) | 257.866 | + | 708.482i | 0.0891560 | + | 0.244954i | ||||
\(204\) | −271.706 | − | 746.507i | −0.0932512 | − | 0.256206i | ||||
\(205\) | −1394.46 | − | 1661.85i | −0.475089 | − | 0.566189i | ||||
\(206\) | 116.017 | + | 657.965i | 0.0392393 | + | 0.222537i | ||||
\(207\) | −3788.51 | + | 668.017i | −1.27208 | + | 0.224301i | ||||
\(208\) | −224.890 | − | 129.840i | −0.0749678 | − | 0.0432827i | ||||
\(209\) | 1149.41 | − | 1369.81i | 0.380412 | − | 0.453357i | ||||
\(210\) | 557.668 | + | 202.975i | 0.183251 | + | 0.0666980i | ||||
\(211\) | 1205.18 | + | 2087.44i | 0.393214 | + | 0.681067i | 0.992871 | − | 0.119190i | \(-0.0380298\pi\) |
−0.599657 | + | 0.800257i | \(0.704696\pi\) | |||||||
\(212\) | 783.584 | − | 1357.21i | 0.253853 | − | 0.439686i | ||||
\(213\) | −4933.31 | + | 4139.54i | −1.58697 | + | 1.33163i | ||||
\(214\) | 1589.79 | − | 917.863i | 0.507829 | − | 0.293195i | ||||
\(215\) | −383.638 | + | 2175.72i | −0.121693 | + | 0.690152i | ||||
\(216\) | − | 1433.20i | − | 0.451466i | ||||||
\(217\) | −935.793 | − | 165.006i | −0.292745 | − | 0.0516189i | ||||
\(218\) | 303.008 | + | 254.254i | 0.0941390 | + | 0.0789920i | ||||
\(219\) | 3359.54 | − | 1222.77i | 1.03661 | − | 0.377294i | ||||
\(220\) | −91.6161 | + | 251.713i | −0.0280762 | + | 0.0771386i | ||||
\(221\) | −372.886 | −0.113498 | ||||||||
\(222\) | 2466.20 | − | 3009.65i | 0.745586 | − | 0.909884i | ||||
\(223\) | −5883.34 | −1.76672 | −0.883358 | − | 0.468699i | \(-0.844723\pi\) | ||||
−0.883358 | + | 0.468699i | \(0.844723\pi\) | |||||||
\(224\) | −62.5179 | + | 171.766i | −0.0186480 | + | 0.0512349i | ||||
\(225\) | −3986.30 | + | 1450.90i | −1.18113 | + | 0.429895i | ||||
\(226\) | 2058.73 | + | 1727.48i | 0.605950 | + | 0.508453i | ||||
\(227\) | −1572.85 | − | 277.336i | −0.459884 | − | 0.0810899i | −0.0610935 | − | 0.998132i | \(-0.519459\pi\) |
−0.398790 | + | 0.917042i | \(0.630570\pi\) | |||||||
\(228\) | − | 5548.34i | − | 1.61161i | ||||||
\(229\) | 81.6351 | − | 462.976i | 0.0235572 | − | 0.133599i | −0.970761 | − | 0.240048i | \(-0.922837\pi\) |
0.994318 | + | 0.106449i | \(0.0339479\pi\) | |||||||
\(230\) | 839.001 | − | 484.397i | 0.240531 | − | 0.138870i | ||||
\(231\) | −421.524 | + | 353.700i | −0.120062 | + | 0.100744i | ||||
\(232\) | −527.959 | + | 914.452i | −0.149406 | + | 0.258779i | ||||
\(233\) | 182.033 | + | 315.290i | 0.0511818 | + | 0.0886494i | 0.890481 | − | 0.455020i | \(-0.150368\pi\) |
−0.839299 | + | 0.543669i | \(0.817035\pi\) | |||||||
\(234\) | −1455.71 | − | 529.837i | −0.406680 | − | 0.148019i | ||||
\(235\) | 551.705 | − | 657.497i | 0.153146 | − | 0.182512i | ||||
\(236\) | 2491.20 | + | 1438.29i | 0.687131 | + | 0.396715i | ||||
\(237\) | 2252.59 | − | 397.192i | 0.617390 | − | 0.108863i | ||||
\(238\) | 45.5784 | + | 258.488i | 0.0124135 | + | 0.0704004i | ||||
\(239\) | −3095.76 | − | 3689.39i | −0.837859 | − | 0.998521i | −0.999931 | − | 0.0117425i | \(-0.996262\pi\) |
0.162072 | − | 0.986779i | \(-0.448182\pi\) | |||||||
\(240\) | 284.269 | + | 781.022i | 0.0764562 | + | 0.210062i | ||||
\(241\) | 343.805 | + | 944.595i | 0.0918938 | + | 0.252476i | 0.977122 | − | 0.212682i | \(-0.0682198\pi\) |
−0.885228 | + | 0.465158i | \(0.845998\pi\) | |||||||
\(242\) | 1551.45 | + | 1848.95i | 0.412112 | + | 0.491136i | ||||
\(243\) | 449.563 | + | 2549.60i | 0.118681 | + | 0.673073i | ||||
\(244\) | −3468.83 | + | 611.648i | −0.910119 | + | 0.160479i | ||||
\(245\) | 1615.24 | + | 932.561i | 0.421200 | + | 0.243180i | ||||
\(246\) | 4011.82 | − | 4781.10i | 1.03977 | − | 1.23915i | ||||
\(247\) | −2447.24 | − | 890.722i | −0.630421 | − | 0.229455i | ||||
\(248\) | −665.405 | − | 1152.51i | −0.170376 | − | 0.295100i | ||||
\(249\) | 1808.42 | − | 3132.28i | 0.460258 | − | 0.797190i | ||||
\(250\) | 1969.23 | − | 1652.38i | 0.498180 | − | 0.418023i | ||||
\(251\) | −132.964 | + | 76.7667i | −0.0334367 | + | 0.0193047i | −0.516625 | − | 0.856212i | \(-0.672812\pi\) |
0.483188 | + | 0.875516i | \(0.339479\pi\) | |||||||
\(252\) | −189.354 | + | 1073.88i | −0.0473340 | + | 0.268445i | ||||
\(253\) | 898.276i | 0.223218i | ||||||||
\(254\) | −831.655 | − | 146.643i | −0.205444 | − | 0.0362253i | ||||
\(255\) | 914.257 | + | 767.153i | 0.224521 | + | 0.188396i | ||||
\(256\) | −240.561 | + | 87.5572i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 1343.22 | − | 3690.48i | 0.326023 | − | 0.895741i | −0.663084 | − | 0.748545i | \(-0.730753\pi\) |
0.989107 | − | 0.147196i | \(-0.0470249\pi\) | |||||||
\(258\) | −6356.04 | −1.53376 | ||||||||
\(259\) | −975.127 | + | 837.788i | −0.233944 | + | 0.200995i | ||||
\(260\) | 390.126 | 0.0930561 | ||||||||
\(261\) | −2154.44 | + | 5919.26i | −0.510943 | + | 1.40381i | ||||
\(262\) | −4211.18 | + | 1532.74i | −0.993006 | + | 0.361424i | ||||
\(263\) | −5435.51 | − | 4560.93i | −1.27440 | − | 1.06935i | −0.993990 | − | 0.109470i | \(-0.965084\pi\) |
−0.280412 | − | 0.959880i | \(-0.590471\pi\) | |||||||
\(264\) | −758.939 | − | 133.821i | −0.176930 | − | 0.0311975i | ||||
\(265\) | 2354.41i | 0.545774i | ||||||||
\(266\) | −318.328 | + | 1805.33i | −0.0733756 | + | 0.416134i | ||||
\(267\) | 7865.26 | − | 4541.01i | 1.80279 | − | 1.04084i | ||||
\(268\) | 738.761 | − | 619.894i | 0.168384 | − | 0.141291i | ||||
\(269\) | 391.761 | − | 678.550i | 0.0887959 | − | 0.153799i | −0.818207 | − | 0.574924i | \(-0.805031\pi\) |
0.907002 | + | 0.421125i | \(0.138365\pi\) | |||||||
\(270\) | 1076.57 | + | 1864.67i | 0.242659 | + | 0.420298i | ||||
\(271\) | 6292.21 | + | 2290.18i | 1.41042 | + | 0.513352i | 0.931254 | − | 0.364371i | \(-0.118716\pi\) |
0.479169 | + | 0.877723i | \(0.340938\pi\) | |||||||
\(272\) | −236.289 | + | 281.599i | −0.0526733 | + | 0.0627736i | ||||
\(273\) | 694.039 | + | 400.703i | 0.153865 | + | 0.0888340i | ||||
\(274\) | 2198.40 | − | 387.638i | 0.484710 | − | 0.0854674i | ||||
\(275\) | 172.007 | + | 975.502i | 0.0377180 | + | 0.213909i | ||||
\(276\) | 1791.57 | + | 2135.11i | 0.390725 | + | 0.465648i | ||||
\(277\) | 1640.06 | + | 4506.03i | 0.355746 | + | 0.977405i | 0.980489 | + | 0.196574i | \(0.0629816\pi\) |
−0.624743 | + | 0.780831i | \(0.714796\pi\) | |||||||
\(278\) | 1596.32 | + | 4385.87i | 0.344393 | + | 0.946211i | ||||
\(279\) | −5103.11 | − | 6081.65i | −1.09504 | − | 1.30501i | ||||
\(280\) | −47.6858 | − | 270.439i | −0.0101778 | − | 0.0577209i | ||||
\(281\) | 2438.77 | − | 430.021i | 0.517740 | − | 0.0912915i | 0.0913283 | − | 0.995821i | \(-0.470889\pi\) |
0.426411 | + | 0.904529i | \(0.359778\pi\) | |||||||
\(282\) | 2138.48 | + | 1234.65i | 0.451577 | + | 0.260718i | ||||
\(283\) | −2579.99 | + | 3074.72i | −0.541925 | + | 0.645841i | −0.965618 | − | 0.259965i | \(-0.916289\pi\) |
0.423693 | + | 0.905806i | \(0.360733\pi\) | |||||||
\(284\) | 2800.26 | + | 1019.21i | 0.585088 | + | 0.212955i | ||||
\(285\) | 4167.73 | + | 7218.72i | 0.866228 | + | 1.50035i | ||||
\(286\) | −180.864 | + | 313.266i | −0.0373942 | + | 0.0647686i | ||||
\(287\) | −1579.68 | + | 1325.51i | −0.324897 | + | 0.272621i | ||||
\(288\) | −1322.58 | + | 763.592i | −0.270603 | + | 0.156233i | ||||
\(289\) | 761.473 | − | 4318.53i | 0.154991 | − | 0.879000i | ||||
\(290\) | − | 1586.34i | − | 0.321218i | ||||||
\(291\) | 15841.4 | + | 2793.27i | 3.19120 | + | 0.562695i | ||||
\(292\) | −1267.29 | − | 1063.38i | −0.253982 | − | 0.213116i | ||||
\(293\) | 7412.67 | − | 2697.99i | 1.47800 | − | 0.537947i | 0.527738 | − | 0.849407i | \(-0.323040\pi\) |
0.950259 | + | 0.311460i | \(0.100818\pi\) | |||||||
\(294\) | −1835.25 | + | 5042.30i | −0.364060 | + | 1.00025i | ||||
\(295\) | −4321.59 | −0.852924 | ||||||||
\(296\) | −1776.67 | − | 291.967i | −0.348874 | − | 0.0573319i | ||||
\(297\) | −1996.41 | −0.390046 | ||||||||
\(298\) | −724.503 | + | 1990.56i | −0.140837 | + | 0.386946i | ||||
\(299\) | 1229.36 | − | 447.452i | 0.237779 | − | 0.0865445i | ||||
\(300\) | 2354.44 | + | 1975.61i | 0.453113 | + | 0.380207i | ||||
\(301\) | 2068.14 | + | 364.668i | 0.396031 | + | 0.0698310i | ||||
\(302\) | − | 4871.69i | − | 0.928260i | ||||||
\(303\) | −112.103 | + | 635.766i | −0.0212546 | + | 0.120541i | ||||
\(304\) | −2223.42 | + | 1283.69i | −0.419481 | + | 0.242187i | ||||
\(305\) | 4053.70 | − | 3401.46i | 0.761030 | − | 0.638580i | ||||
\(306\) | −1096.47 | + | 1899.15i | −0.204841 | + | 0.354794i | ||||
\(307\) | −883.223 | − | 1529.79i | −0.164196 | − | 0.284396i | 0.772173 | − | 0.635412i | \(-0.219170\pi\) |
−0.936370 | + | 0.351016i | \(0.885836\pi\) | |||||||
\(308\) | 239.267 | + | 87.0860i | 0.0442646 | + | 0.0161110i | ||||
\(309\) | 1856.18 | − | 2212.11i | 0.341730 | − | 0.407258i | ||||
\(310\) | 1731.46 | + | 999.659i | 0.317227 | + | 0.183151i | ||||
\(311\) | 9435.56 | − | 1663.74i | 1.72039 | − | 0.303351i | 0.775648 | − | 0.631166i | \(-0.217423\pi\) |
0.944742 | + | 0.327815i | \(0.106312\pi\) | |||||||
\(312\) | 194.900 | + | 1105.33i | 0.0353654 | + | 0.200567i | ||||
\(313\) | −5355.22 | − | 6382.11i | −0.967077 | − | 1.15252i | −0.988266 | − | 0.152742i | \(-0.951190\pi\) |
0.0211891 | − | 0.999775i | \(-0.493255\pi\) | |||||||
\(314\) | −96.7841 | − | 265.912i | −0.0173944 | − | 0.0477907i | ||||
\(315\) | −560.302 | − | 1539.42i | −0.100220 | − | 0.275353i | ||||
\(316\) | −680.341 | − | 810.799i | −0.121114 | − | 0.144339i | ||||
\(317\) | −1017.33 | − | 5769.55i | −0.180249 | − | 1.02224i | −0.931909 | − | 0.362691i | \(-0.881858\pi\) |
0.751661 | − | 0.659550i | \(-0.229253\pi\) | |||||||
\(318\) | −6670.66 | + | 1176.22i | −1.17633 | + | 0.207418i | ||||
\(319\) | 1273.81 | + | 735.435i | 0.223573 | + | 0.129080i | ||||
\(320\) | 247.214 | − | 294.619i | 0.0431866 | − | 0.0514677i | ||||
\(321\) | −7455.82 | − | 2713.70i | −1.29640 | − | 0.471850i | ||||
\(322\) | −460.445 | − | 797.515i | −0.0796882 | − | 0.138024i | ||||
\(323\) | −1843.31 | + | 3192.71i | −0.317537 | + | 0.549990i | ||||
\(324\) | −796.893 | + | 668.673i | −0.136641 | + | 0.114656i | ||||
\(325\) | 1249.37 | − | 721.326i | 0.213239 | − | 0.123114i | ||||
\(326\) | 343.124 | − | 1945.95i | 0.0582942 | − | 0.330603i | ||||
\(327\) | − | 1709.63i | − | 0.289121i | ||||||
\(328\) | −2844.16 | − | 501.502i | −0.478788 | − | 0.0844232i | ||||
\(329\) | −624.986 | − | 524.425i | −0.104731 | − | 0.0878799i | ||||
\(330\) | 1087.95 | − | 395.980i | 0.181483 | − | 0.0660545i | ||||
\(331\) | −1844.27 | + | 5067.08i | −0.306254 | + | 0.841426i | 0.687124 | + | 0.726540i | \(0.258873\pi\) |
−0.993379 | + | 0.114887i | \(0.963350\pi\) | |||||||
\(332\) | −1673.63 | −0.276663 | ||||||||
\(333\) | −10740.3 | + | 125.180i | −1.76745 | + | 0.0206001i | ||||
\(334\) | 5798.66 | 0.949965 | ||||||||
\(335\) | −495.528 | + | 1361.45i | −0.0808166 | + | 0.222042i | ||||
\(336\) | 742.403 | − | 270.213i | 0.120540 | − | 0.0438729i | ||||
\(337\) | 3045.34 | + | 2555.34i | 0.492256 | + | 0.413052i | 0.854834 | − | 0.518902i | \(-0.173659\pi\) |
−0.362578 | + | 0.931953i | \(0.618103\pi\) | |||||||
\(338\) | −3808.42 | − | 671.528i | −0.612872 | − | 0.108066i | ||||
\(339\) | − | 11615.7i | − | 1.86101i | ||||||
\(340\) | 95.8987 | − | 543.869i | 0.0152966 | − | 0.0867513i | ||||
\(341\) | −1605.43 | + | 926.894i | −0.254952 | + | 0.147197i | ||||
\(342\) | −11732.7 | + | 9844.88i | −1.85506 | + | 1.55658i | ||||
\(343\) | 1866.09 | − | 3232.16i | 0.293759 | − | 0.508805i | ||||
\(344\) | 1470.57 | + | 2547.10i | 0.230488 | + | 0.399216i | ||||
\(345\) | −3934.77 | − | 1432.14i | −0.614031 | − | 0.223489i | ||||
\(346\) | 1563.13 | − | 1862.87i | 0.242875 | − | 0.289447i | ||||
\(347\) | −2267.84 | − | 1309.34i | −0.350848 | − | 0.202562i | 0.314211 | − | 0.949353i | \(-0.398260\pi\) |
−0.665059 | + | 0.746791i | \(0.731593\pi\) | |||||||
\(348\) | 4494.52 | − | 792.505i | 0.692332 | − | 0.122077i | ||||
\(349\) | 1590.09 | + | 9017.85i | 0.243884 | + | 1.38314i | 0.823070 | + | 0.567940i | \(0.192259\pi\) |
−0.579186 | + | 0.815196i | \(0.696629\pi\) | |||||||
\(350\) | −652.744 | − | 777.910i | −0.0996875 | − | 0.118803i | ||||
\(351\) | 994.458 | + | 2732.25i | 0.151226 | + | 0.415489i | ||||
\(352\) | 121.965 | + | 335.096i | 0.0184681 | + | 0.0507406i | ||||
\(353\) | −5108.76 | − | 6088.38i | −0.770288 | − | 0.917994i | 0.228163 | − | 0.973623i | \(-0.426728\pi\) |
−0.998452 | + | 0.0556291i | \(0.982284\pi\) | |||||||
\(354\) | −2158.98 | − | 12244.2i | −0.324148 | − | 1.83834i | ||||
\(355\) | −4408.90 | + | 777.408i | −0.659155 | + | 0.116227i | ||||
\(356\) | −3639.50 | − | 2101.27i | −0.541834 | − | 0.312828i | ||||
\(357\) | 729.219 | − | 869.050i | 0.108107 | − | 0.128837i | ||||
\(358\) | −2354.39 | − | 856.928i | −0.347579 | − | 0.126508i | ||||
\(359\) | 1252.17 | + | 2168.83i | 0.184087 | + | 0.318848i | 0.943268 | − | 0.332031i | \(-0.107734\pi\) |
−0.759182 | + | 0.650879i | \(0.774401\pi\) | |||||||
\(360\) | 1147.17 | − | 1986.96i | 0.167948 | − | 0.290894i | ||||
\(361\) | −14469.8 | + | 12141.6i | −2.10961 | + | 1.77017i | ||||
\(362\) | 6726.78 | − | 3883.71i | 0.976662 | − | 0.563876i | ||||
\(363\) | 1811.52 | − | 10273.6i | 0.261928 | − | 1.48547i | ||||
\(364\) | − | 370.836i | − | 0.0533985i | ||||||
\(365\) | 2447.60 | + | 431.578i | 0.350995 | + | 0.0618899i | ||||
\(366\) | 11662.4 | + | 9785.89i | 1.66558 | + | 1.39759i | ||||
\(367\) | 1656.73 | − | 603.002i | 0.235642 | − | 0.0857668i | −0.221500 | − | 0.975160i | \(-0.571095\pi\) |
0.457142 | + | 0.889394i | \(0.348873\pi\) | |||||||
\(368\) | 441.110 | − | 1211.94i | 0.0624850 | − | 0.171676i | ||||
\(369\) | −17228.8 | −2.43060 | ||||||||
\(370\) | 2530.86 | − | 954.707i | 0.355604 | − | 0.134143i | ||||
\(371\) | 2237.99 | 0.313182 | ||||||||
\(372\) | −1967.29 | + | 5405.09i | −0.274192 | + | 0.753336i | ||||
\(373\) | 10916.0 | − | 3973.10i | 1.51531 | − | 0.551526i | 0.555335 | − | 0.831627i | \(-0.312590\pi\) |
0.959971 | + | 0.280101i | \(0.0903679\pi\) | |||||||
\(374\) | 392.261 | + | 329.146i | 0.0542334 | + | 0.0455073i | ||||
\(375\) | −10942.0 | − | 1929.36i | −1.50678 | − | 0.265685i | ||||
\(376\) | − | 1142.62i | − | 0.156719i | ||||||
\(377\) | 371.989 | − | 2109.65i | 0.0508180 | − | 0.288203i | ||||
\(378\) | 1772.47 | − | 1023.34i | 0.241180 | − | 0.139245i | ||||
\(379\) | −2278.19 | + | 1911.63i | −0.308767 | + | 0.259086i | −0.783982 | − | 0.620783i | \(-0.786815\pi\) |
0.475215 | + | 0.879870i | \(0.342370\pi\) | |||||||
\(380\) | 1928.54 | − | 3340.32i | 0.260347 | − | 0.450934i | ||||
\(381\) | 1825.00 | + | 3161.00i | 0.245401 | + | 0.425047i | ||||
\(382\) | 1084.91 | + | 394.874i | 0.145311 | + | 0.0528887i | ||||
\(383\) | −8827.04 | + | 10519.7i | −1.17765 | + | 1.40347i | −0.281594 | + | 0.959534i | \(0.590863\pi\) |
−0.896058 | + | 0.443937i | \(0.853581\pi\) | |||||||
\(384\) | 958.235 | + | 553.237i | 0.127343 | + | 0.0735216i | ||||
\(385\) | −376.716 | + | 66.4252i | −0.0498681 | + | 0.00879310i | ||||
\(386\) | 595.510 | + | 3377.30i | 0.0785250 | + | 0.445337i | ||||
\(387\) | 11278.1 | + | 13440.7i | 1.48138 | + | 1.76545i | ||||
\(388\) | −2545.79 | − | 6994.50i | −0.333100 | − | 0.915185i | ||||
\(389\) | 422.260 | + | 1160.15i | 0.0550371 | + | 0.151213i | 0.964165 | − | 0.265305i | \(-0.0854725\pi\) |
−0.909127 | + | 0.416518i | \(0.863250\pi\) | |||||||
\(390\) | −1083.86 | − | 1291.70i | −0.140727 | − | 0.167712i | ||||
\(391\) | −321.590 | − | 1823.83i | −0.0415946 | − | 0.235895i | ||||
\(392\) | 2445.25 | − | 431.163i | 0.315060 | − | 0.0555536i | ||||
\(393\) | 16774.5 | + | 9684.77i | 2.15308 | + | 1.24308i | ||||
\(394\) | −1364.08 | + | 1625.65i | −0.174420 | + | 0.207866i | ||||
\(395\) | 1494.21 | + | 543.847i | 0.190334 | + | 0.0692757i | ||||
\(396\) | 1063.67 | + | 1842.32i | 0.134978 | + | 0.233789i | ||||
\(397\) | −2606.95 | + | 4515.37i | −0.329569 | + | 0.570831i | −0.982426 | − | 0.186650i | \(-0.940237\pi\) |
0.652857 | + | 0.757481i | \(0.273570\pi\) | |||||||
\(398\) | −5022.65 | + | 4214.50i | −0.632569 | + | 0.530788i | ||||
\(399\) | 6861.77 | − | 3961.65i | 0.860948 | − | 0.497069i | ||||
\(400\) | 246.964 | − | 1400.60i | 0.0308705 | − | 0.175075i | ||||
\(401\) | 7596.74i | 0.946042i | 0.881051 | + | 0.473021i | \(0.156837\pi\) | ||||
−0.881051 | + | 0.473021i | \(0.843163\pi\) | |||||||
\(402\) | −4104.90 | − | 723.805i | −0.509289 | − | 0.0898013i | ||||
\(403\) | 2068.23 | + | 1735.45i | 0.255647 | + | 0.214514i | ||||
\(404\) | 280.712 | − | 102.171i | 0.0345691 | − | 0.0125821i | ||||
\(405\) | 534.520 | − | 1468.58i | 0.0655815 | − | 0.180184i | ||||
\(406\) | −1507.90 | −0.184325 | ||||||||
\(407\) | −406.703 | + | 2474.86i | −0.0495320 | + | 0.301411i | ||||
\(408\) | 1588.83 | 0.192791 | ||||||||
\(409\) | −1330.36 | + | 3655.13i | −0.160836 | + | 0.441894i | −0.993766 | − | 0.111484i | \(-0.964439\pi\) |
0.832930 | + | 0.553379i | \(0.186662\pi\) | |||||||
\(410\) | 4077.13 | − | 1483.95i | 0.491110 | − | 0.178749i | ||||
\(411\) | −7391.14 | − | 6201.90i | −0.887051 | − | 0.744324i | ||||
\(412\) | −1315.93 | − | 232.034i | −0.157357 | − | 0.0277464i | ||||
\(413\) | 4107.90i | 0.489434i | ||||||||
\(414\) | 1336.03 | − | 7577.02i | 0.158605 | − | 0.899493i | ||||
\(415\) | 2177.49 | − | 1257.17i | 0.257563 | − | 0.148704i | ||||
\(416\) | 397.853 | − | 333.839i | 0.0468903 | − | 0.0393456i | ||||
\(417\) | 10086.5 | − | 17470.4i | 1.18451 | − | 2.05162i | ||||
\(418\) | 1788.16 | + | 3097.18i | 0.209238 | + | 0.362411i | ||||
\(419\) | 7001.29 | + | 2548.26i | 0.816314 | + | 0.297114i | 0.716229 | − | 0.697865i | \(-0.245867\pi\) |
0.100084 | + | 0.994979i | \(0.468089\pi\) | |||||||
\(420\) | −762.935 | + | 909.231i | −0.0886367 | + | 0.105633i | ||||
\(421\) | −6601.69 | − | 3811.49i | −0.764243 | − | 0.441236i | 0.0665738 | − | 0.997782i | \(-0.478793\pi\) |
−0.830817 | + | 0.556545i | \(0.812127\pi\) | |||||||
\(422\) | −4747.49 | + | 837.111i | −0.547640 | + | 0.0965638i | ||||
\(423\) | −1183.66 | − | 6712.84i | −0.136055 | − | 0.771607i | ||||
\(424\) | 2014.71 | + | 2401.04i | 0.230762 | + | 0.275011i | ||||
\(425\) | −698.475 | − | 1919.05i | −0.0797201 | − | 0.219029i | ||||
\(426\) | −4405.20 | − | 12103.2i | −0.501016 | − | 1.37653i | ||||
\(427\) | −3233.27 | − | 3853.26i | −0.366437 | − | 0.436703i | ||||
\(428\) | 637.541 | + | 3615.67i | 0.0720016 | + | 0.408342i | ||||
\(429\) | 1539.70 | − | 271.491i | 0.173281 | − | 0.0305541i | ||||
\(430\) | −3826.59 | − | 2209.28i | −0.429150 | − | 0.247770i | ||||
\(431\) | −8502.55 | + | 10132.9i | −0.950240 | + | 1.13245i | 0.0408379 | + | 0.999166i | \(0.486997\pi\) |
−0.991078 | + | 0.133286i | \(0.957447\pi\) | |||||||
\(432\) | 2693.53 | + | 980.365i | 0.299983 | + | 0.109185i | ||||
\(433\) | −4228.68 | − | 7324.29i | −0.469325 | − | 0.812894i | 0.530060 | − | 0.847960i | \(-0.322169\pi\) |
−0.999385 | + | 0.0350659i | \(0.988836\pi\) | |||||||
\(434\) | 950.229 | − | 1645.84i | 0.105098 | − | 0.182035i | ||||
\(435\) | −5252.33 | + | 4407.23i | −0.578919 | + | 0.485771i | ||||
\(436\) | −685.111 | + | 395.549i | −0.0752543 | + | 0.0434481i | ||||
\(437\) | 2246.04 | − | 12737.9i | 0.245864 | − | 1.39436i | ||||
\(438\) | 7150.30i | 0.780034i | ||||||||
\(439\) | 5152.25 | + | 908.481i | 0.560145 | + | 0.0987687i | 0.446550 | − | 0.894758i | \(-0.352652\pi\) |
0.113595 | + | 0.993527i | \(0.463763\pi\) | |||||||
\(440\) | −410.397 | − | 344.364i | −0.0444657 | − | 0.0373112i | ||||
\(441\) | 13919.0 | − | 5066.11i | 1.50297 | − | 0.547037i | ||||
\(442\) | 255.069 | − | 700.796i | 0.0274488 | − | 0.0754150i | ||||
\(443\) | 2292.53 | 0.245872 | 0.122936 | − | 0.992415i | \(-0.460769\pi\) | ||||
0.122936 | + | 0.992415i | \(0.460769\pi\) | |||||||
\(444\) | 3969.31 | + | 6693.65i | 0.424268 | + | 0.715465i | ||||
\(445\) | 6313.60 | 0.672569 | ||||||||
\(446\) | 4024.44 | − | 11057.1i | 0.427271 | − | 1.17392i | ||||
\(447\) | 8603.52 | − | 3131.43i | 0.910364 | − | 0.331345i | ||||
\(448\) | −280.051 | − | 234.990i | −0.0295338 | − | 0.0247818i | ||||
\(449\) | −11792.4 | − | 2079.32i | −1.23946 | − | 0.218551i | −0.484777 | − | 0.874638i | \(-0.661099\pi\) |
−0.754685 | + | 0.656087i | \(0.772210\pi\) | |||||||
\(450\) | − | 8484.27i | − | 0.888783i | ||||||
\(451\) | −698.581 | + | 3961.85i | −0.0729376 | + | 0.413650i | ||||
\(452\) | −4654.86 | + | 2687.48i | −0.484394 | + | 0.279665i | ||||
\(453\) | −16130.0 | + | 13534.7i | −1.67297 | + | 1.40379i | ||||
\(454\) | 1597.11 | − | 2766.28i | 0.165102 | − | 0.285965i | ||||
\(455\) | 278.559 | + | 482.479i | 0.0287012 | + | 0.0497120i | ||||
\(456\) | 10427.5 | + | 3795.29i | 1.07086 | + | 0.389760i | ||||
\(457\) | −2220.20 | + | 2645.93i | −0.227257 | + | 0.270835i | −0.867609 | − | 0.497247i | \(-0.834344\pi\) |
0.640352 | + | 0.768082i | \(0.278789\pi\) | |||||||
\(458\) | 814.268 | + | 470.118i | 0.0830747 | + | 0.0479632i | ||||
\(459\) | 4053.44 | − | 714.731i | 0.412197 | − | 0.0726815i | ||||
\(460\) | 336.459 | + | 1908.15i | 0.0341032 | + | 0.193409i | ||||
\(461\) | 5523.05 | + | 6582.12i | 0.557992 | + | 0.664988i | 0.969120 | − | 0.246589i | \(-0.0793097\pi\) |
−0.411129 | + | 0.911577i | \(0.634865\pi\) | |||||||
\(462\) | −376.400 | − | 1034.15i | −0.0379042 | − | 0.104141i | ||||
\(463\) | −191.624 | − | 526.484i | −0.0192344 | − | 0.0528462i | 0.929704 | − | 0.368308i | \(-0.120063\pi\) |
−0.948938 | + | 0.315462i | \(0.897841\pi\) | |||||||
\(464\) | −1357.46 | − | 1617.76i | −0.135816 | − | 0.161859i | ||||
\(465\) | −1500.56 | − | 8510.11i | −0.149649 | − | 0.848703i | ||||
\(466\) | −717.069 | + | 126.439i | −0.0712823 | + | 0.0125690i | ||||
\(467\) | 6229.42 | + | 3596.56i | 0.617266 | + | 0.356379i | 0.775804 | − | 0.630974i | \(-0.217345\pi\) |
−0.158538 | + | 0.987353i | \(0.550678\pi\) | |||||||
\(468\) | 1991.54 | − | 2373.42i | 0.196707 | − | 0.234426i | ||||
\(469\) | 1294.13 | + | 471.025i | 0.127415 | + | 0.0463751i | ||||
\(470\) | 858.301 | + | 1486.62i | 0.0842351 | + | 0.145899i | ||||
\(471\) | −611.539 | + | 1059.22i | −0.0598264 | + | 0.103622i | ||||
\(472\) | −4407.18 | + | 3698.07i | −0.429782 | + | 0.360630i | ||||
\(473\) | 3548.05 | − | 2048.47i | 0.344904 | − | 0.199130i | ||||
\(474\) | −794.385 | + | 4505.18i | −0.0769774 | + | 0.436561i | ||||
\(475\) | − | 14263.1i | − | 1.37776i | ||||||
\(476\) | −516.976 | − | 91.1568i | −0.0497806 | − | 0.00877766i | ||||
\(477\) | 14323.6 | + | 12018.9i | 1.37491 | + | 1.15368i | ||||
\(478\) | 9051.41 | − | 3294.44i | 0.866112 | − | 0.315239i | ||||
\(479\) | −6775.37 | + | 18615.2i | −0.646293 | + | 1.77568i | −0.0153051 | + | 0.999883i | \(0.504872\pi\) |
−0.630988 | + | 0.775793i | \(0.717350\pi\) | |||||||
\(480\) | −1662.29 | −0.158069 | ||||||||
\(481\) | 3589.63 | − | 676.177i | 0.340277 | − | 0.0640977i | ||||
\(482\) | −2010.43 | −0.189985 | ||||||||
\(483\) | −1361.32 | + | 3740.20i | −0.128245 | + | 0.352350i | ||||
\(484\) | −4536.14 | + | 1651.02i | −0.426009 | + | 0.155055i | ||||
\(485\) | 8566.25 | + | 7187.94i | 0.802007 | + | 0.672964i | ||||
\(486\) | −5099.20 | − | 899.126i | −0.475935 | − | 0.0839201i | ||||
\(487\) | − | 13373.3i | − | 1.24436i | −0.782875 | − | 0.622179i | \(-0.786248\pi\) | ||
0.782875 | − | 0.622179i | \(-0.213752\pi\) | |||||||
\(488\) | 1223.30 | − | 6937.66i | 0.113475 | − | 0.643551i | ||||
\(489\) | −7396.28 | + | 4270.25i | −0.683991 | + | 0.394902i | ||||
\(490\) | −2857.53 | + | 2397.75i | −0.263449 | + | 0.221060i | ||||
\(491\) | 1412.26 | − | 2446.10i | 0.129805 | − | 0.224829i | −0.793796 | − | 0.608184i | \(-0.791898\pi\) |
0.923601 | + | 0.383355i | \(0.125232\pi\) | |||||||
\(492\) | 6241.28 | + | 10810.2i | 0.571908 | + | 0.990574i | ||||
\(493\) | −2849.59 | − | 1037.17i | −0.260323 | − | 0.0947498i | ||||
\(494\) | 3348.02 | − | 3990.02i | 0.304928 | − | 0.363399i | ||||
\(495\) | −2767.79 | − | 1597.98i | −0.251319 | − | 0.145099i | ||||
\(496\) | 2621.18 | − | 462.185i | 0.237287 | − | 0.0418402i | ||||
\(497\) | 738.968 | + | 4190.89i | 0.0666946 | + | 0.378244i | ||||
\(498\) | 4649.73 | + | 5541.34i | 0.418393 | + | 0.498621i | ||||
\(499\) | 4443.02 | + | 12207.1i | 0.398591 | + | 1.09512i | 0.962971 | + | 0.269605i | \(0.0868932\pi\) |
−0.564380 | + | 0.825515i | \(0.690885\pi\) | |||||||
\(500\) | 1758.43 | + | 4831.24i | 0.157278 | + | 0.432119i | ||||
\(501\) | −16110.0 | − | 19199.2i | −1.43661 | − | 1.71209i | ||||
\(502\) | −53.3216 | − | 302.402i | −0.00474076 | − | 0.0268862i | ||||
\(503\) | −12548.4 | + | 2212.63i | −1.11234 | + | 0.196136i | −0.699476 | − | 0.714656i | \(-0.746583\pi\) |
−0.412865 | + | 0.910792i | \(0.635472\pi\) | |||||||
\(504\) | −1888.71 | − | 1090.45i | −0.166924 | − | 0.0963736i | ||||
\(505\) | −288.475 | + | 343.791i | −0.0254197 | + | 0.0302941i | ||||
\(506\) | −1688.21 | − | 614.457i | −0.148320 | − | 0.0539841i | ||||
\(507\) | 8357.28 | + | 14475.2i | 0.732071 | + | 1.26798i | ||||
\(508\) | 844.485 | − | 1462.69i | 0.0737558 | − | 0.127749i | ||||
\(509\) | 7909.35 | − | 6636.74i | 0.688754 | − | 0.577933i | −0.229795 | − | 0.973239i | \(-0.573806\pi\) |
0.918550 | + | 0.395306i | \(0.129361\pi\) | |||||||
\(510\) | −2067.16 | + | 1193.48i | −0.179481 | + | 0.103624i | ||||
\(511\) | 410.238 | − | 2326.57i | 0.0355144 | − | 0.201412i | ||||
\(512\) | − | 512.000i | − | 0.0441942i | ||||||
\(513\) | 28309.9 | + | 4991.81i | 2.43648 | + | 0.429617i | ||||
\(514\) | 6017.01 | + | 5048.87i | 0.516340 | + | 0.433261i | ||||
\(515\) | 1886.40 | − | 686.593i | 0.161407 | − | 0.0587474i | ||||
\(516\) | 4347.79 | − | 11945.5i | 0.370932 | − | 1.01913i | ||||
\(517\) | −1591.65 | −0.135398 | ||||||||
\(518\) | −907.500 | − | 2405.72i | −0.0769754 | − | 0.204057i | ||||
\(519\) | −10510.7 | −0.888954 | ||||||||
\(520\) | −266.862 | + | 733.197i | −0.0225051 | + | 0.0618324i | ||||
\(521\) | −8970.79 | + | 3265.10i | −0.754352 | + | 0.274562i | −0.690436 | − | 0.723394i | \(-0.742581\pi\) |
−0.0639160 | + | 0.997955i | \(0.520359\pi\) | |||||||
\(522\) | −9650.86 | − | 8098.03i | −0.809208 | − | 0.679006i | ||||
\(523\) | −1646.02 | − | 290.238i | −0.137621 | − | 0.0242662i | 0.104413 | − | 0.994534i | \(-0.466703\pi\) |
−0.242034 | + | 0.970268i | \(0.577815\pi\) | |||||||
\(524\) | − | 8962.88i | − | 0.747224i | ||||||
\(525\) | −762.162 | + | 4322.43i | −0.0633590 | + | 0.359327i | ||||
\(526\) | 12289.9 | − | 7095.55i | 1.01875 | − | 0.588176i | ||||
\(527\) | 2927.77 | − | 2456.69i | 0.242003 | − | 0.203064i | ||||
\(528\) | 770.647 | − | 1334.80i | 0.0635192 | − | 0.110018i | ||||
\(529\) | −2834.71 | − | 4909.87i | −0.232984 | − | 0.403540i | ||||
\(530\) | −4424.84 | − | 1610.51i | −0.362647 | − | 0.131993i | ||||
\(531\) | −22061.0 | + | 26291.3i | −1.80295 | + | 2.14868i | ||||
\(532\) | −3175.15 | − | 1833.18i | −0.258760 | − | 0.149395i | ||||
\(533\) | 5770.09 | − | 1017.42i | 0.468913 | − | 0.0826819i | ||||
\(534\) | 3154.15 | + | 17888.1i | 0.255606 | + | 1.44961i | ||||
\(535\) | −3545.45 | − | 4225.30i | −0.286511 | − | 0.341450i | ||||
\(536\) | 659.678 | + | 1812.45i | 0.0531599 | + | 0.146056i | ||||
\(537\) | 3703.78 | + | 10176.1i | 0.297635 | + | 0.817746i | ||||
\(538\) | 1007.28 | + | 1200.43i | 0.0807189 | + | 0.0961971i | ||||
\(539\) | −600.600 | − | 3406.17i | −0.0479957 | − | 0.272197i | ||||
\(540\) | −4240.86 | + | 747.777i | −0.337958 | + | 0.0595911i | ||||
\(541\) | −8195.60 | − | 4731.73i | −0.651305 | − | 0.376031i | 0.137651 | − | 0.990481i | \(-0.456045\pi\) |
−0.788956 | + | 0.614449i | \(0.789378\pi\) | |||||||
\(542\) | −8608.25 | + | 10258.9i | −0.682207 | + | 0.813022i | ||||
\(543\) | −31547.4 | − | 11482.3i | −2.49324 | − | 0.907465i | ||||
\(544\) | −367.601 | − | 636.703i | −0.0289720 | − | 0.0501809i | ||||
\(545\) | 594.246 | − | 1029.26i | 0.0467059 | − | 0.0808970i | ||||
\(546\) | −1227.83 | + | 1030.27i | −0.0962383 | + | 0.0807535i | ||||
\(547\) | 6120.20 | − | 3533.50i | 0.478393 | − | 0.276200i | −0.241354 | − | 0.970437i | \(-0.577591\pi\) |
0.719746 | + | 0.694237i | \(0.244258\pi\) | |||||||
\(548\) | −775.276 | + | 4396.81i | −0.0604346 | + | 0.342741i | ||||
\(549\) | − | 42025.5i | − | 3.26704i | ||||||
\(550\) | −1951.00 | − | 344.015i | −0.151257 | − | 0.0266706i | ||||
\(551\) | −16224.3 | − | 13613.8i | −1.25441 | − | 1.05257i | ||||
\(552\) | −5238.21 | + | 1906.55i | −0.403900 | + | 0.147008i | ||||
\(553\) | 516.956 | − | 1420.32i | 0.0397526 | − | 0.109219i | ||||
\(554\) | −9590.43 | −0.735485 | ||||||||
\(555\) | −10192.3 | − | 5727.22i | −0.779533 | − | 0.438030i | ||||
\(556\) | −9334.68 | −0.712012 | ||||||||
\(557\) | −4741.96 | + | 13028.4i | −0.360724 | + | 0.991081i | 0.618050 | + | 0.786139i | \(0.287923\pi\) |
−0.978774 | + | 0.204942i | \(0.934299\pi\) | |||||||
\(558\) | 14920.5 | − | 5430.61i | 1.13196 | − | 0.412000i | ||||
\(559\) | −4570.86 | − | 3835.41i | −0.345844 | − | 0.290198i | ||||
\(560\) | 540.879 | + | 95.3716i | 0.0408148 | + | 0.00719676i | ||||
\(561\) | − | 2213.21i | − | 0.166563i | ||||||
\(562\) | −860.042 | + | 4877.54i | −0.0645528 | + | 0.366097i | ||||
\(563\) | −16616.3 | + | 9593.40i | −1.24386 | + | 0.718142i | −0.969877 | − | 0.243594i | \(-0.921674\pi\) |
−0.273980 | + | 0.961735i | \(0.588340\pi\) | |||||||
\(564\) | −3783.20 | + | 3174.48i | −0.282449 | + | 0.237003i | ||||
\(565\) | 4037.49 | − | 6993.14i | 0.300635 | − | 0.520714i | ||||
\(566\) | −4013.76 | − | 6952.03i | −0.298076 | − | 0.516282i | ||||
\(567\) | −1395.96 | − | 508.089i | −0.103395 | − | 0.0376327i | ||||
\(568\) | −3830.98 | + | 4565.59i | −0.283001 | + | 0.337267i | ||||
\(569\) | 20247.0 | + | 11689.6i | 1.49174 | + | 0.861254i | 0.999955 | − | 0.00946475i | \(-0.00301277\pi\) |
0.491781 | + | 0.870719i | \(0.336346\pi\) | |||||||
\(570\) | −16417.6 | + | 2894.87i | −1.20642 | + | 0.212724i | ||||
\(571\) | −2473.47 | − | 14027.8i | −0.181281 | − | 1.02810i | −0.930641 | − | 0.365934i | \(-0.880750\pi\) |
0.749360 | − | 0.662163i | \(-0.230361\pi\) | |||||||
\(572\) | −465.030 | − | 554.201i | −0.0339928 | − | 0.0405110i | ||||
\(573\) | −1706.71 | − | 4689.15i | −0.124431 | − | 0.341871i | ||||
\(574\) | −1410.58 | − | 3875.53i | −0.102572 | − | 0.281814i | ||||
\(575\) | 4605.60 | + | 5488.74i | 0.334029 | + | 0.398080i | ||||
\(576\) | −530.386 | − | 3007.97i | −0.0383670 | − | 0.217590i | ||||
\(577\) | 3167.97 | − | 558.598i | 0.228569 | − | 0.0403029i | −0.0581905 | − | 0.998305i | \(-0.518533\pi\) |
0.286759 | + | 0.958003i | \(0.407422\pi\) | |||||||
\(578\) | 7595.30 | + | 4385.15i | 0.546579 | + | 0.315568i | ||||
\(579\) | 9527.69 | − | 11354.7i | 0.683864 | − | 0.814998i | ||||
\(580\) | 2981.35 | + | 1085.12i | 0.213437 | + | 0.0776848i | ||||
\(581\) | −1195.01 | − | 2069.82i | −0.0853311 | − | 0.147798i | ||||
\(582\) | −16085.8 | + | 27861.4i | −1.14567 | + | 1.98435i | ||||
\(583\) | 3344.60 | − | 2806.45i | 0.237597 | − | 0.199367i | ||||
\(584\) | 2865.39 | − | 1654.33i | 0.203032 | − | 0.117221i | ||||
\(585\) | −808.271 | + | 4583.93i | −0.0571246 | + | 0.323970i | ||||
\(586\) | 15776.8i | 1.11217i | ||||||||
\(587\) | −697.634 | − | 123.012i | −0.0490535 | − | 0.00864946i | 0.149068 | − | 0.988827i | \(-0.452373\pi\) |
−0.198121 | + | 0.980178i | \(0.563484\pi\) | |||||||
\(588\) | −8221.04 | − | 6898.27i | −0.576581 | − | 0.483809i | ||||
\(589\) | 25083.2 | − | 9129.54i | 1.75473 | − | 0.638669i | ||||
\(590\) | 2956.14 | − | 8121.93i | 0.206275 | − | 0.566736i | ||||
\(591\) | 9172.24 | 0.638402 | ||||||||
\(592\) | 1764.03 | − | 3139.33i | 0.122468 | − | 0.217948i | ||||
\(593\) | 5305.32 | 0.367392 | 0.183696 | − | 0.982983i | \(-0.441194\pi\) | ||||
0.183696 | + | 0.982983i | \(0.441194\pi\) | |||||||
\(594\) | 1365.63 | − | 3752.03i | 0.0943305 | − | 0.259171i | ||||
\(595\) | 741.090 | − | 269.735i | 0.0510617 | − | 0.0185850i | ||||
\(596\) | −3245.43 | − | 2723.24i | −0.223051 | − | 0.187162i | ||||
\(597\) | 27908.2 | + | 4920.97i | 1.91324 | + | 0.337356i | ||||
\(598\) | 2616.52i | 0.178926i | ||||||||
\(599\) | 1689.40 | − | 9581.09i | 0.115237 | − | 0.653544i | −0.871395 | − | 0.490582i | \(-0.836784\pi\) |
0.986632 | − | 0.162962i | \(-0.0521047\pi\) | |||||||
\(600\) | −5323.47 | + | 3073.51i | −0.362216 | + | 0.209126i | ||||
\(601\) | 13105.2 | − | 10996.5i | 0.889468 | − | 0.746352i | −0.0786353 | − | 0.996903i | \(-0.525056\pi\) |
0.968103 | + | 0.250551i | \(0.0806118\pi\) | |||||||
\(602\) | −2100.04 | + | 3637.38i | −0.142178 | + | 0.246260i | ||||
\(603\) | 5753.10 | + | 9964.65i | 0.388531 | + | 0.672955i | ||||
\(604\) | 9155.79 | + | 3332.44i | 0.616794 | + | 0.224495i | ||||
\(605\) | 4661.59 | − | 5555.47i | 0.313257 | − | 0.373326i | ||||
\(606\) | −1118.17 | − | 645.574i | −0.0749545 | − | 0.0432750i | ||||
\(607\) | 18340.6 | − | 3233.94i | 1.22639 | − | 0.216246i | 0.477317 | − | 0.878731i | \(-0.341609\pi\) |
0.749075 | + | 0.662485i | \(0.230498\pi\) | |||||||
\(608\) | −891.645 | − | 5056.77i | −0.0594753 | − | 0.337301i | ||||
\(609\) | 4189.30 | + | 4992.62i | 0.278751 | + | 0.332202i | ||||
\(610\) | 3619.76 | + | 9945.20i | 0.240262 | + | 0.660113i | ||||
\(611\) | 792.838 | + | 2178.30i | 0.0524955 | + | 0.144230i | ||||
\(612\) | −2819.20 | − | 3359.79i | −0.186208 | − | 0.221914i | ||||
\(613\) | 3798.22 | + | 21540.8i | 0.250259 | + | 1.41929i | 0.807955 | + | 0.589244i | \(0.200574\pi\) |
−0.557697 | + | 0.830045i | \(0.688315\pi\) | |||||||
\(614\) | 3479.22 | − | 613.481i | 0.228681 | − | 0.0403226i | ||||
\(615\) | −16240.5 | − | 9376.48i | −1.06485 | − | 0.614791i | ||||
\(616\) | −327.336 | + | 390.104i | −0.0214103 | + | 0.0255158i | ||||
\(617\) | −19647.4 | − | 7151.07i | −1.28197 | − | 0.466598i | −0.390886 | − | 0.920439i | \(-0.627831\pi\) |
−0.891083 | + | 0.453841i | \(0.850054\pi\) | |||||||
\(618\) | 2887.71 | + | 5001.65i | 0.187962 | + | 0.325560i | ||||
\(619\) | 10602.7 | − | 18364.5i | 0.688465 | − | 1.19246i | −0.283870 | − | 0.958863i | \(-0.591618\pi\) |
0.972334 | − | 0.233593i | \(-0.0750483\pi\) | |||||||
\(620\) | −3063.13 | + | 2570.27i | −0.198417 | + | 0.166491i | ||||
\(621\) | −12506.1 | + | 7220.40i | −0.808136 | + | 0.466578i | ||||
\(622\) | −3327.49 | + | 18871.1i | −0.214502 | + | 1.21650i | ||||
\(623\) | − | 6001.41i | − | 0.385941i | ||||||
\(624\) | −2210.66 | − | 389.799i | −0.141822 | − | 0.0250071i | ||||
\(625\) | 2594.64 | + | 2177.16i | 0.166057 | + | 0.139338i | ||||
\(626\) | 15657.6 | − | 5698.91i | 0.999688 | − | 0.363857i | ||||
\(627\) | 5286.75 | − | 14525.2i | 0.336735 | − | 0.925170i | ||||
\(628\) | 565.956 | 0.0359619 | ||||||||
\(629\) | −60.2629 | − | 5170.47i | −0.00382009 | − | 0.327758i | ||||
\(630\) | 3276.42 | 0.207200 | ||||||||
\(631\) | 325.536 | − | 894.403i | 0.0205379 | − | 0.0564273i | −0.929000 | − | 0.370080i | \(-0.879330\pi\) |
0.949538 | + | 0.313652i | \(0.101553\pi\) | |||||||
\(632\) | 1989.18 | − | 724.004i | 0.125199 | − | 0.0455685i | ||||
\(633\) | 15961.3 | + | 13393.1i | 1.00222 | + | 0.840962i | ||||
\(634\) | 11539.1 | + | 2034.66i | 0.722833 | + | 0.127455i | ||||
\(635\) | 2537.40i | 0.158572i | ||||||||
\(636\) | 2352.43 | − | 13341.3i | 0.146667 | − | 0.831788i | ||||
\(637\) | −4362.45 | + | 2518.66i | −0.271345 | + | 0.156661i | ||||
\(638\) | −2253.50 | + | 1890.91i | −0.139839 | + | 0.117339i | ||||
\(639\) | −17777.2 | + | 30791.1i | −1.10056 | + | 1.90622i | ||||
\(640\) | 384.597 | + | 666.142i | 0.0237540 | + | 0.0411431i | ||||
\(641\) | −4570.78 | − | 1663.63i | −0.281646 | − | 0.102511i | 0.197335 | − | 0.980336i | \(-0.436771\pi\) |
−0.478981 | + | 0.877825i | \(0.658994\pi\) | |||||||
\(642\) | 10200.2 | − | 12156.1i | 0.627053 | − | 0.747293i | ||||
\(643\) | 5900.84 | + | 3406.85i | 0.361907 | + | 0.208947i | 0.669917 | − | 0.742436i | \(-0.266330\pi\) |
−0.308010 | + | 0.951383i | \(0.599663\pi\) | |||||||
\(644\) | 1813.80 | − | 319.822i | 0.110984 | − | 0.0195695i | ||||
\(645\) | 3316.29 | + | 18807.6i | 0.202448 | + | 1.14814i | ||||
\(646\) | −4739.43 | − | 5648.23i | −0.288654 | − | 0.344004i | ||||
\(647\) | 9626.18 | + | 26447.7i | 0.584922 | + | 1.60706i | 0.779660 | + | 0.626203i | \(0.215392\pi\) |
−0.194738 | + | 0.980855i | \(0.562386\pi\) | |||||||
\(648\) | −711.586 | − | 1955.07i | −0.0431385 | − | 0.118522i | ||||
\(649\) | 5151.32 | + | 6139.11i | 0.311567 | + | 0.371311i | ||||
\(650\) | 501.028 | + | 2841.47i | 0.0302337 | + | 0.171464i | ||||
\(651\) | −8089.31 | + | 1426.36i | −0.487012 | + | 0.0858734i | ||||
\(652\) | 3422.49 | + | 1975.97i | 0.205575 | + | 0.118689i | ||||
\(653\) | 12017.3 | − | 14321.6i | 0.720171 | − | 0.858267i | −0.274476 | − | 0.961594i | \(-0.588504\pi\) |
0.994647 | + | 0.103327i | \(0.0329489\pi\) | |||||||
\(654\) | 3213.05 | + | 1169.45i | 0.192110 | + | 0.0699225i | ||||
\(655\) | 6732.62 | + | 11661.2i | 0.401626 | + | 0.695637i | ||||
\(656\) | 2888.03 | − | 5002.22i | 0.171888 | − | 0.297719i | ||||
\(657\) | 15120.2 | − | 12687.4i | 0.897864 | − | 0.753397i | ||||
\(658\) | 1413.11 | − | 815.861i | 0.0837217 | − | 0.0483367i | ||||
\(659\) | −4096.96 | + | 23235.0i | −0.242177 | + | 1.37346i | 0.584780 | + | 0.811192i | \(0.301181\pi\) |
−0.826958 | + | 0.562264i | \(0.809930\pi\) | |||||||
\(660\) | 2315.54i | 0.136564i | ||||||||
\(661\) | −19218.0 | − | 3388.65i | −1.13085 | − | 0.199400i | −0.423251 | − | 0.906013i | \(-0.639111\pi\) |
−0.707600 | + | 0.706613i | \(0.750222\pi\) | |||||||
\(662\) | −8261.45 | − | 6932.18i | −0.485031 | − | 0.406989i | ||||
\(663\) | −3028.96 | + | 1102.45i | −0.177428 | + | 0.0645786i | ||||
\(664\) | 1144.83 | − | 3145.39i | 0.0669096 | − | 0.183833i | ||||
\(665\) | 5508.08 | 0.321194 | ||||||||
\(666\) | 7111.51 | − | 20270.7i | 0.413762 | − | 1.17939i | ||||
\(667\) | 10639.4 | 0.617628 | ||||||||
\(668\) | −3966.51 | + | 10897.9i | −0.229744 | + | 0.631217i | ||||
\(669\) | −47790.5 | + | 17394.3i | −2.76186 | + | 1.00524i | ||||
\(670\) | −2219.73 | − | 1862.57i | −0.127994 | − | 0.107399i | ||||
\(671\) | −9664.00 | − | 1704.02i | −0.555998 | − | 0.0980374i | ||||
\(672\) | 1580.10i | 0.0907048i | ||||||||
\(673\) | −2082.40 | + | 11809.9i | −0.119273 | + | 0.676429i | 0.865273 | + | 0.501301i | \(0.167145\pi\) |
−0.984546 | + | 0.175128i | \(0.943966\pi\) | |||||||
\(674\) | −6885.61 | + | 3975.41i | −0.393507 | + | 0.227191i | ||||
\(675\) | −12198.7 | + | 10235.9i | −0.695596 | + | 0.583674i | ||||
\(676\) | 3867.17 | − | 6698.14i | 0.220026 | − | 0.381096i | ||||
\(677\) | −10405.5 | − | 18022.9i | −0.590719 | − | 1.02316i | −0.994136 | − | 0.108139i | \(-0.965511\pi\) |
0.403417 | − | 0.915016i | \(-0.367823\pi\) | |||||||
\(678\) | 21830.5 | + | 7945.64i | 1.23657 | + | 0.450074i | ||||
\(679\) | 6832.52 | − | 8142.68i | 0.386168 | − | 0.460217i | ||||
\(680\) | 956.540 | + | 552.259i | 0.0539436 | + | 0.0311444i | ||||
\(681\) | −13596.2 | + | 2397.38i | −0.765064 | + | 0.134901i | ||||
\(682\) | −643.813 | − | 3651.25i | −0.0361479 | − | 0.205005i | ||||
\(683\) | 2187.14 | + | 2606.53i | 0.122531 | + | 0.146027i | 0.823822 | − | 0.566848i | \(-0.191837\pi\) |
−0.701292 | + | 0.712875i | \(0.747393\pi\) | |||||||
\(684\) | −10476.7 | − | 28784.5i | −0.585653 | − | 1.60907i | ||||
\(685\) | −2294.05 | − | 6302.86i | −0.127958 | − | 0.351562i | ||||
\(686\) | 4798.00 | + | 5718.03i | 0.267038 | + | 0.318244i | ||||
\(687\) | −705.681 | − | 4002.12i | −0.0391898 | − | 0.222256i | ||||
\(688\) | −5792.91 | + | 1021.45i | −0.321007 | + | 0.0566021i | ||||
\(689\) | −5506.87 | − | 3179.39i | −0.304492 | − | 0.175799i | ||||
\(690\) | 5383.08 | − | 6415.30i | 0.297000 | − | 0.353951i | ||||
\(691\) | 9096.40 | + | 3310.82i | 0.500787 | + | 0.182271i | 0.580048 | − | 0.814582i | \(-0.303034\pi\) |
−0.0792612 | + | 0.996854i | \(0.525256\pi\) | |||||||
\(692\) | 2431.80 | + | 4212.01i | 0.133589 | + | 0.231382i | ||||
\(693\) | −1518.97 | + | 2630.93i | −0.0832623 | + | 0.144214i | ||||
\(694\) | 4012.05 | − | 3366.51i | 0.219446 | − | 0.184137i | ||||
\(695\) | 12145.0 | − | 7011.90i | 0.662856 | − | 0.382700i | ||||
\(696\) | −1585.01 | + | 8989.04i | −0.0863214 | + | 0.489553i | ||||
\(697\) | − | 8294.09i | − | 0.450733i | ||||||
\(698\) | −18035.7 | − | 3180.18i | −0.978024 | − | 0.172452i | ||||
\(699\) | 2410.82 | + | 2022.92i | 0.130451 | + | 0.109462i | ||||
\(700\) | 1908.50 | − | 694.636i | 0.103049 | − | 0.0375068i | ||||
\(701\) | 694.389 | − | 1907.82i | 0.0374133 | − | 0.102792i | −0.919579 | − | 0.392904i | \(-0.871470\pi\) |
0.956993 | + | 0.290112i | \(0.0936926\pi\) | |||||||
\(702\) | −5815.20 | −0.312651 | ||||||||
\(703\) | 11955.3 | − | 34077.6i | 0.641400 | − | 1.82825i | ||||
\(704\) | −713.204 | −0.0381817 | ||||||||
\(705\) | 2537.60 | − | 6971.99i | 0.135562 | − | 0.372455i | ||||
\(706\) | 14937.0 | − | 5436.63i | 0.796263 | − | 0.289816i | ||||
\(707\) | 326.792 | + | 274.211i | 0.0173837 | + | 0.0145866i | ||||
\(708\) | 24488.4 | + | 4317.96i | 1.29990 | + | 0.229208i | ||||
\(709\) | 2128.20i | 0.112731i | 0.998410 | + | 0.0563654i | \(0.0179512\pi\) | ||||
−0.998410 | + | 0.0563654i | \(0.982049\pi\) | |||||||
\(710\) | 1554.82 | − | 8817.80i | 0.0821848 | − | 0.466093i | ||||
\(711\) | 10936.3 | − | 6314.09i | 0.576855 | − | 0.333047i | ||||
\(712\) | 6438.65 | − | 5402.67i | 0.338903 | − | 0.284373i | ||||
\(713\) | −6704.58 | + | 11612.7i | −0.352158 | + | 0.609955i | ||||
\(714\) | 1134.46 | + | 1964.95i | 0.0594625 | + | 0.102992i | ||||
\(715\) | 1021.33 | + | 371.733i | 0.0534202 | + | 0.0194434i | ||||
\(716\) | 3220.99 | − | 3838.63i | 0.168120 | − | 0.200358i | ||||
\(717\) | −36054.7 | − | 20816.2i | −1.87795 | − | 1.08423i | ||||
\(718\) | −4932.60 | + | 869.750i | −0.256383 | + | 0.0452072i | ||||
\(719\) | 6130.97 | + | 34770.4i | 0.318006 | + | 1.80350i | 0.554845 | + | 0.831954i | \(0.312777\pi\) |
−0.236839 | + | 0.971549i | \(0.576111\pi\) | |||||||
\(720\) | 2949.55 | + | 3515.13i | 0.152671 | + | 0.181946i | ||||
\(721\) | −652.643 | − | 1793.12i | −0.0337111 | − | 0.0926205i | ||||
\(722\) | −12920.8 | − | 35499.7i | −0.666016 | − | 1.82986i | ||||
\(723\) | 5585.46 | + | 6656.49i | 0.287311 | + | 0.342403i | ||||
\(724\) | 2697.59 | + | 15298.8i | 0.138474 | + | 0.785326i | ||||
\(725\) | 11554.1 | − | 2037.29i | 0.591872 | − | 0.104363i | ||||
\(726\) | 18069.0 | + | 10432.1i | 0.923694 | + | 0.533295i | ||||
\(727\) | −13393.3 | + | 15961.5i | −0.683259 | + | 0.814276i | −0.990523 | − | 0.137348i | \(-0.956142\pi\) |
0.307264 | + | 0.951624i | \(0.400587\pi\) | |||||||
\(728\) | 696.943 | + | 253.667i | 0.0354814 | + | 0.0129142i | ||||
\(729\) | 14700.7 | + | 25462.4i | 0.746873 | + | 1.29362i | ||||
\(730\) | −2485.36 | + | 4304.77i | −0.126010 | + | 0.218256i | ||||
\(731\) | −6470.47 | + | 5429.37i | −0.327386 | + | 0.274709i | ||||
\(732\) | −26369.0 | + | 15224.1i | −1.33146 | + | 0.768717i | ||||
\(733\) | −3380.81 | + | 19173.5i | −0.170359 | + | 0.966153i | 0.773007 | + | 0.634398i | \(0.218752\pi\) |
−0.943365 | + | 0.331755i | \(0.892359\pi\) | |||||||
\(734\) | 3526.12i | 0.177318i | ||||||||
\(735\) | 15877.8 | + | 2799.68i | 0.796818 | + | 0.140501i | ||||
\(736\) | 1975.97 | + | 1658.03i | 0.0989607 | + | 0.0830379i | ||||
\(737\) | 2524.70 | − | 918.916i | 0.126185 | − | 0.0459277i | ||||
\(738\) | 11785.2 | − | 32379.5i | 0.587829 | − | 1.61505i | ||||
\(739\) | −3678.99 | −0.183131 | −0.0915655 | − | 0.995799i | \(-0.529187\pi\) | ||||
−0.0915655 | + | 0.995799i | \(0.529187\pi\) | |||||||
\(740\) | 63.0492 | + | 5409.53i | 0.00313207 | + | 0.268727i | ||||
\(741\) | −22512.4 | −1.11608 | ||||||||
\(742\) | −1530.87 | + | 4206.04i | −0.0757415 | + | 0.208098i | ||||
\(743\) | 9633.47 | − | 3506.30i | 0.475663 | − | 0.173127i | −0.0930528 | − | 0.995661i | \(-0.529663\pi\) |
0.568716 | + | 0.822534i | \(0.307440\pi\) | |||||||
\(744\) | −8812.54 | − | 7394.60i | −0.434252 | − | 0.364381i | ||||
\(745\) | 6268.11 | + | 1105.24i | 0.308249 | + | 0.0543527i | ||||
\(746\) | 23233.1i | 1.14025i | ||||||||
\(747\) | 3467.45 | − | 19664.9i | 0.169836 | − | 0.963188i | ||||
\(748\) | −886.913 | + | 512.060i | −0.0433540 | + | 0.0250304i | ||||
\(749\) | −4016.38 | + | 3370.14i | −0.195935 | + | 0.164409i | ||||
\(750\) | 11110.8 | − | 19244.4i | 0.540944 | − | 0.936942i | ||||
\(751\) | −2968.27 | − | 5141.19i | −0.144226 | − | 0.249806i | 0.784858 | − | 0.619676i | \(-0.212736\pi\) |
−0.929084 | + | 0.369869i | \(0.879402\pi\) | |||||||
\(752\) | 2147.43 | + | 781.601i | 0.104134 | + | 0.0379017i | ||||
\(753\) | −853.104 | + | 1016.69i | −0.0412867 | + | 0.0492035i | ||||
\(754\) | 3710.39 | + | 2142.20i | 0.179210 | + | 0.103467i | ||||
\(755\) | −14415.4 | + | 2541.83i | −0.694876 | + | 0.122525i | ||||
\(756\) | 710.802 | + | 4031.16i | 0.0341953 | + | 0.193931i | ||||
\(757\) | −5684.81 | − | 6774.90i | −0.272943 | − | 0.325281i | 0.612108 | − | 0.790774i | \(-0.290322\pi\) |
−0.885052 | + | 0.465493i | \(0.845877\pi\) | |||||||
\(758\) | −2034.31 | − | 5589.22i | −0.0974795 | − | 0.267823i | ||||
\(759\) | 2655.78 | + | 7296.71i | 0.127008 | + | 0.348951i | ||||
\(760\) | 4958.56 | + | 5909.38i | 0.236665 | + | 0.282047i | ||||
\(761\) | 159.425 | + | 904.143i | 0.00759414 | + | 0.0430685i | 0.988369 | − | 0.152072i | \(-0.0485947\pi\) |
−0.980775 | + | 0.195141i | \(0.937484\pi\) | |||||||
\(762\) | −7189.11 | + | 1267.63i | −0.341777 | + | 0.0602645i | ||||
\(763\) | −978.371 | − | 564.863i | −0.0464212 | − | 0.0268013i | ||||
\(764\) | −1484.24 | + | 1768.85i | −0.0702852 | + | 0.0837626i | ||||
\(765\) | 6191.70 | + | 2253.60i | 0.292629 | + | 0.106508i | ||||
\(766\) | −13732.4 | − | 23785.3i | −0.647745 | − | 1.12193i | ||||
\(767\) | 5835.88 | − | 10108.0i | 0.274734 | − | 0.475854i | ||||
\(768\) | −1695.22 | + | 1422.46i | −0.0796496 | + | 0.0668340i | ||||
\(769\) | −29193.6 | + | 16855.0i | −1.36899 | + | 0.790384i | −0.990799 | − | 0.135345i | \(-0.956786\pi\) |
−0.378187 | + | 0.925729i | \(0.623452\pi\) | |||||||
\(770\) | 132.850 | − | 753.432i | 0.00621766 | − | 0.0352621i | ||||
\(771\) | − | 33949.1i | − | 1.58579i | ||||||
\(772\) | −6754.61 | − | 1191.02i | −0.314901 | − | 0.0555256i | ||||
\(773\) | −22487.4 | − | 18869.2i | −1.04633 | − | 0.877977i | −0.0536295 | − | 0.998561i | \(-0.517079\pi\) |
−0.992703 | + | 0.120584i | \(0.961523\pi\) | |||||||
\(774\) | −32974.8 | + | 12001.9i | −1.53134 | + | 0.557361i | ||||
\(775\) | −5057.32 | + | 13894.9i | −0.234405 | + | 0.644024i | ||||
\(776\) | 14886.8 | 0.688665 | ||||||||
\(777\) | −5444.03 | + | 9688.36i | −0.251356 | + | 0.447321i | ||||
\(778\) | −2469.21 | −0.113786 | ||||||||
\(779\) | 19812.3 | − | 54433.9i | 0.911233 | − | 2.50359i | ||||
\(780\) | 3169.00 | − | 1153.42i | 0.145472 | − | 0.0529476i | ||||
\(781\) | 6359.76 | + | 5336.47i | 0.291383 | + | 0.244499i | ||||
\(782\) | 3647.65 | + | 643.180i | 0.166803 | + | 0.0294118i | ||||
\(783\) | 23645.9i | 1.07923i | ||||||||
\(784\) | −862.325 | + | 4890.49i | −0.0392823 | + | 0.222781i | ||||
\(785\) | −736.341 | + | 425.127i | −0.0334792 | + | 0.0193292i | ||||
\(786\) | −29675.9 | + | 24901.0i | −1.34670 | + | 1.13001i | ||||
\(787\) | 10438.6 | − | 18080.2i | 0.472802 | − | 0.818917i | −0.526713 | − | 0.850043i | \(-0.676576\pi\) |
0.999515 | + | 0.0311258i | \(0.00990925\pi\) | |||||||
\(788\) | −2122.14 | − | 3675.65i | −0.0959366 | − | 0.166167i | ||||
\(789\) | −57637.3 | − | 20978.3i | −2.60069 | − | 0.946572i | ||||
\(790\) | −2044.20 | + | 2436.18i | −0.0920623 | + | 0.109716i | ||||
\(791\) | −6647.35 | − | 3837.85i | −0.298802 | − | 0.172514i | ||||
\(792\) | −4190.03 | + | 738.815i | −0.187988 | + | 0.0331473i | ||||
\(793\) | 2481.76 | + | 14074.8i | 0.111135 | + | 0.630278i | ||||
\(794\) | −6702.86 | − | 7988.15i | −0.299591 | − | 0.357039i | ||||
\(795\) | 6960.89 | + | 19124.9i | 0.310538 | + | 0.853195i | ||||
\(796\) | −4484.98 | − | 12322.4i | −0.199706 | − | 0.548687i | ||||
\(797\) | −4855.92 | − | 5787.05i | −0.215816 | − | 0.257199i | 0.647265 | − | 0.762265i | \(-0.275913\pi\) |
−0.863081 | + | 0.505066i | \(0.831468\pi\) | |||||||
\(798\) | 2751.73 | + | 15605.8i | 0.122068 | + | 0.692282i | ||||
\(799\) | 3231.63 | − | 569.823i | 0.143087 | − | 0.0252302i | ||||
\(800\) | 2463.33 | + | 1422.21i | 0.108865 | + | 0.0628533i | ||||
\(801\) | 32230.0 | − | 38410.2i | 1.42171 | − | 1.69433i | ||||
\(802\) | −14277.2 | − | 5196.48i | −0.628610 | − | 0.228795i | ||||
\(803\) | −2304.45 | − | 3991.42i | −0.101273 | − | 0.175410i | ||||
\(804\) | 4168.23 | − | 7219.59i | 0.182838 | − | 0.316685i | ||||
\(805\) | −2119.62 | + | 1778.57i | −0.0928035 | + | 0.0778714i | ||||
\(806\) | −4676.33 | + | 2699.88i | −0.204363 | + | 0.117989i | ||||
\(807\) | 1176.12 | − | 6670.13i | 0.0513030 | − | 0.290954i | ||||
\(808\) | 597.454i | 0.0260128i | ||||||||
\(809\) | −10081.6 | − | 1777.66i | −0.438134 | − | 0.0772548i | −0.0497696 | − | 0.998761i | \(-0.515849\pi\) |
−0.388364 | + | 0.921506i | \(0.626960\pi\) | |||||||
\(810\) | 2394.40 | + | 2009.14i | 0.103865 | + | 0.0871529i | ||||
\(811\) | −22478.6 | + | 8181.55i | −0.973282 | + | 0.354246i | −0.779225 | − | 0.626745i | \(-0.784387\pi\) |
−0.194057 | + | 0.980990i | \(0.562165\pi\) | |||||||
\(812\) | 1031.47 | − | 2833.93i | 0.0445780 | − | 0.122477i | ||||
\(813\) | 57882.7 | 2.49697 | ||||||||
\(814\) | −4373.01 | − | 2457.25i | −0.188297 | − | 0.105807i | ||||
\(815\) | −5937.14 | −0.255177 | ||||||||
\(816\) | −1086.83 | + | 2986.03i | −0.0466256 | + | 0.128103i | ||||
\(817\) | −55434.8 | + | 20176.6i | −2.37383 | + | 0.864003i | ||||
\(818\) | −5959.38 | − | 5000.52i | −0.254725 | − | 0.213740i | ||||
\(819\) | 4357.27 | + | 768.304i | 0.185904 | + | 0.0327799i | ||||
\(820\) | 8677.58i | 0.369554i | ||||||||
\(821\) | −5199.26 | + | 29486.4i | −0.221017 | + | 1.25345i | 0.649137 | + | 0.760672i | \(0.275130\pi\) |
−0.870154 | + | 0.492780i | \(0.835981\pi\) | |||||||
\(822\) | 16711.6 | − | 9648.45i | 0.709105 | − | 0.409402i | ||||
\(823\) | 21292.3 | − | 17866.3i | 0.901825 | − | 0.756721i | −0.0687216 | − | 0.997636i | \(-0.521892\pi\) |
0.970546 | + | 0.240915i | \(0.0774476\pi\) | |||||||
\(824\) | 1336.23 | − | 2314.42i | 0.0564925 | − | 0.0978479i | ||||
\(825\) | 4281.33 | + | 7415.48i | 0.180675 | + | 0.312938i | ||||
\(826\) | −7720.32 | − | 2809.97i | −0.325211 | − | 0.118367i | ||||
\(827\) | −17091.9 | + | 20369.4i | −0.718675 | + | 0.856484i | −0.994501 | − | 0.104724i | \(-0.966604\pi\) |
0.275826 | + | 0.961208i | \(0.411049\pi\) | |||||||
\(828\) | 13326.2 | + | 7693.91i | 0.559322 | + | 0.322925i | ||||
\(829\) | 23497.3 | − | 4143.20i | 0.984431 | − | 0.173582i | 0.341813 | − | 0.939768i | \(-0.388959\pi\) |
0.642619 | + | 0.766186i | \(0.277848\pi\) | |||||||
\(830\) | 873.223 | + | 4952.30i | 0.0365181 | + | 0.207104i | ||||
\(831\) | 26644.5 | + | 31753.7i | 1.11226 | + | 1.32554i | ||||
\(832\) | 355.264 | + | 976.079i | 0.0148035 | + | 0.0406724i | ||||
\(833\) | 2438.87 | + | 6700.75i | 0.101443 | + | 0.278712i | ||||
\(834\) | 25933.9 | + | 30906.9i | 1.07676 | + | 1.28323i | ||||
\(835\) | −3025.48 | − | 17158.3i | −0.125390 | − | 0.711124i | ||||
\(836\) | −7043.96 | + | 1242.04i | −0.291412 | + | 0.0513838i | ||||
\(837\) | −25809.1 | − | 14900.9i | −1.06582 | − | 0.615352i | ||||
\(838\) | −9578.33 | + | 11415.0i | −0.394842 | + | 0.470555i | ||||
\(839\) | 30928.0 | + | 11256.9i | 1.27265 | + | 0.463207i | 0.887995 | − | 0.459854i | \(-0.152098\pi\) |
0.384655 | + | 0.923060i | \(0.374320\pi\) | |||||||
\(840\) | −1186.92 | − | 2055.80i | −0.0487530 | − | 0.0844427i | ||||
\(841\) | −3483.85 | + | 6034.20i | −0.142845 | + | 0.247415i | ||||
\(842\) | 11679.1 | − | 9799.90i | 0.478013 | − | 0.401101i | ||||
\(843\) | 18538.8 | − | 10703.4i | 0.757426 | − | 0.437300i | ||||
\(844\) | 1674.22 | − | 9494.98i | 0.0682809 | − | 0.387240i | ||||
\(845\) | 11619.6i | 0.473047i | ||||||||
\(846\) | 13425.7 | + | 2367.31i | 0.545608 | + | 0.0962055i | ||||
\(847\) | −5280.77 | − | 4431.09i | −0.214226 | − | 0.179757i | ||||
\(848\) | −5890.62 | + | 2144.01i | −0.238543 | + | 0.0868227i | ||||
\(849\) | −11866.8 | + | 32603.8i | −0.479703 | + | 1.31797i | ||||
\(850\) | 4084.41 | 0.164817 | ||||||||
\(851\) | 6403.09 | + | 16974.2i | 0.257926 | + | 0.683744i | ||||
\(852\) | 25759.9 | 1.03582 | ||||||||
\(853\) | 4752.64 | − | 13057.8i | 0.190771 | − | 0.524138i | −0.807024 | − | 0.590519i | \(-0.798923\pi\) |
0.997794 | + | 0.0663812i | \(0.0211453\pi\) | |||||||
\(854\) | 9453.44 | − | 3440.77i | 0.378794 | − | 0.137870i | ||||
\(855\) | 35252.8 | + | 29580.6i | 1.41008 | + | 1.18320i | ||||
\(856\) | −7231.35 | − | 1275.08i | −0.288741 | − | 0.0509128i | ||||
\(857\) | − | 36785.8i | − | 1.46625i | −0.680091 | − | 0.733127i | \(-0.738060\pi\) | ||
0.680091 | − | 0.733127i | \(-0.261940\pi\) | |||||||
\(858\) | −542.981 | + | 3079.40i | −0.0216050 | + | 0.122528i | ||||
\(859\) | −12784.2 | + | 7380.94i | −0.507788 | + | 0.293172i | −0.731924 | − | 0.681386i | \(-0.761377\pi\) |
0.224136 | + | 0.974558i | \(0.428044\pi\) | |||||||
\(860\) | 6769.63 | − | 5680.40i | 0.268422 | − | 0.225233i | ||||
\(861\) | −8912.85 | + | 15437.5i | −0.352786 | + | 0.611044i | ||||
\(862\) | −13227.6 | − | 22910.9i | −0.522662 | − | 0.905277i | ||||
\(863\) | −41044.2 | − | 14938.9i | −1.61896 | − | 0.589253i | −0.635776 | − | 0.771873i | \(-0.719320\pi\) |
−0.983184 | + | 0.182620i | \(0.941542\pi\) | |||||||
\(864\) | −3684.97 | + | 4391.57i | −0.145098 | + | 0.172922i | ||||
\(865\) | −6327.84 | − | 3653.38i | −0.248732 | − | 0.143605i | ||||
\(866\) | 16657.8 | − | 2937.21i | 0.653642 | − | 0.115255i | ||||
\(867\) | −6582.43 | − | 37330.8i | −0.257844 | − | 1.46231i | ||||
\(868\) | 2443.18 | + | 2911.67i | 0.0955380 | + | 0.113858i | ||||
\(869\) | −1008.52 | − | 2770.89i | −0.0393691 | − | 0.108166i | ||||
\(870\) | −4690.07 | − | 12885.9i | −0.182768 | − | 0.502152i | ||||
\(871\) | −2515.22 | − | 2997.53i | −0.0978474 | − | 0.116610i | ||||
\(872\) | −274.745 | − | 1558.16i | −0.0106698 | − | 0.0605114i | ||||
\(873\) | 87458.9 | − | 15421.4i | 3.39065 | − | 0.597862i | ||||
\(874\) | 22403.1 | + | 12934.4i | 0.867043 | + | 0.500587i | ||||
\(875\) | −4719.35 | + | 5624.31i | −0.182335 | + | 0.217299i | ||||
\(876\) | −13438.2 | − | 4891.10i | −0.518303 | − | 0.188647i | ||||
\(877\) | −1676.84 | − | 2904.38i | −0.0645643 | − | 0.111829i | 0.831936 | − | 0.554871i | \(-0.187232\pi\) |
−0.896501 | + | 0.443042i | \(0.853899\pi\) | |||||||
\(878\) | −5231.74 | + | 9061.63i | −0.201096 | + | 0.348309i | ||||
\(879\) | 52236.6 | − | 43831.7i | 2.00443 | − | 1.68192i | ||||
\(880\) | 927.921 | − | 535.735i | 0.0355457 | − | 0.0205223i | ||||
\(881\) | −4660.31 | + | 26429.9i | −0.178218 | + | 1.01072i | 0.756146 | + | 0.654403i | \(0.227080\pi\) |
−0.934364 | + | 0.356320i | \(0.884031\pi\) | |||||||
\(882\) | 29624.6i | 1.13097i | ||||||||
\(883\) | −30890.1 | − | 5446.76i | −1.17728 | − | 0.207586i | −0.449424 | − | 0.893319i | \(-0.648371\pi\) |
−0.727853 | + | 0.685733i | \(0.759482\pi\) | |||||||
\(884\) | 1142.59 | + | 958.745i | 0.0434721 | + | 0.0364775i | ||||
\(885\) | −35104.3 | + | 12776.9i | −1.33335 | + | 0.485301i | ||||
\(886\) | −1568.18 | + | 4308.55i | −0.0594629 | + | 0.163373i | ||||
\(887\) | 36809.7 | 1.39340 | 0.696701 | − | 0.717362i | \(-0.254650\pi\) | ||||
0.696701 | + | 0.717362i | \(0.254650\pi\) | |||||||
\(888\) | −15295.1 | + | 2881.13i | −0.578007 | + | 0.108879i | ||||
\(889\) | 2411.93 | 0.0909938 | ||||||||
\(890\) | −4318.76 | + | 11865.7i | −0.162657 | + | 0.446897i | ||||
\(891\) | −2723.37 | + | 991.224i | −0.102397 | + | 0.0372696i | ||||
\(892\) | 18027.6 | + | 15127.0i | 0.676692 | + | 0.567812i | ||||
\(893\) | 22570.3 | + | 3979.75i | 0.845784 | + | 0.149135i | ||||
\(894\) | 18311.3i | 0.685037i | ||||||||
\(895\) | −1307.25 | + | 7413.79i | −0.0488230 | + | 0.276889i | ||||
\(896\) | 633.203 | − | 365.580i | 0.0236092 | − | 0.0136308i | ||||
\(897\) | 8663.23 | − | 7269.32i | 0.322471 | − | 0.270586i | ||||
\(898\) | 11974.3 | − | 20740.2i | 0.444976 | − | 0.770722i | ||||
\(899\) | 10978.3 | + | 19015.0i | 0.407283 | + | 0.705435i | ||||
\(900\) | 15945.2 | + | 5803.58i | 0.590563 | + | 0.214947i | ||||
\(901\) | −5786.02 | + | 6895.50i | −0.213940 | + | 0.254964i | ||||
\(902\) | −6967.98 | − | 4022.97i | −0.257216 | − | 0.148503i | ||||
\(903\) | 17877.7 | − | 3152.31i | 0.658839 | − | 0.116171i | ||||
\(904\) | −1866.71 | − | 10586.6i | −0.0686789 | − | 0.389497i | ||||
\(905\) | −15001.7 | − | 17878.3i | −0.551020 | − | 0.656680i | ||||
\(906\) | −14403.3 | − | 39572.9i | −0.528167 | − | 1.45113i | ||||
\(907\) | 11972.2 | + | 32893.4i | 0.438293 | + | 1.20420i | 0.940602 | + | 0.339511i | \(0.110262\pi\) |
−0.502309 | + | 0.864688i | \(0.667516\pi\) | |||||||
\(908\) | 4106.42 | + | 4893.84i | 0.150084 | + | 0.178863i | ||||
\(909\) | 618.908 | + | 3510.00i | 0.0225829 | + | 0.128074i | ||||
\(910\) | −1097.31 | + | 193.485i | −0.0399730 | + | 0.00704832i | ||||
\(911\) | 21097.4 | + | 12180.6i | 0.767276 | + | 0.442987i | 0.831902 | − | 0.554922i | \(-0.187252\pi\) |
−0.0646259 | + | 0.997910i | \(0.520585\pi\) | |||||||
\(912\) | −14265.6 | + | 17001.1i | −0.517963 | + | 0.617284i | ||||
\(913\) | −4381.46 | − | 1594.72i | −0.158823 | − | 0.0578067i | ||||
\(914\) | −3454.02 | − | 5982.54i | −0.124999 | − | 0.216504i | ||||
\(915\) | 22871.7 | − | 39615.0i | 0.826356 | − | 1.43129i | ||||
\(916\) | −1440.52 | + | 1208.74i | −0.0519610 | + | 0.0436004i | ||||
\(917\) | 11084.6 | − | 6399.71i | 0.399178 | − | 0.230466i | ||||
\(918\) | −1429.46 | + | 8106.88i | −0.0513936 | + | 0.291467i | ||||
\(919\) | − | 2979.15i | − | 0.106935i | −0.998570 | − | 0.0534674i | \(-0.982973\pi\) | ||
0.998570 | − | 0.0534674i | \(-0.0170273\pi\) | |||||||
\(920\) | −3816.31 | − | 672.918i | −0.136761 | − | 0.0241146i | ||||
\(921\) | −11697.3 | − | 9815.21i | −0.418501 | − | 0.351164i | ||||
\(922\) | −16148.3 | + | 5877.51i | −0.576808 | + | 0.209941i | ||||
\(923\) | 4135.46 | − | 11362.1i | 0.147476 | − | 0.405187i | ||||
\(924\) | 2201.04 | 0.0783646 | ||||||||
\(925\) | 10203.9 | + | 17207.4i | 0.362705 | + | 0.611648i | ||||
\(926\) | 1120.54 | 0.0397661 | ||||||||
\(927\) | 5452.74 | − | 14981.3i | 0.193195 | − | 0.530798i | ||||
\(928\) | 3968.96 | − | 1444.58i | 0.140396 | − | 0.0510999i | ||||
\(929\) | −29534.0 | − | 24782.0i | −1.04303 | − | 0.875210i | −0.0506907 | − | 0.998714i | \(-0.516142\pi\) |
−0.992344 | + | 0.123504i | \(0.960587\pi\) | |||||||
\(930\) | 17020.2 | + | 3001.12i | 0.600123 | + | 0.105818i | ||||
\(931\) | 49802.7i | 1.75319i | ||||||||
\(932\) | 252.877 | − | 1434.14i | 0.00888762 | − | 0.0504042i | ||||
\(933\) | 71726.3 | − | 41411.2i | 2.51684 | − | 1.45310i | ||||
\(934\) | −11020.5 | + | 9247.29i | −0.386083 | + | 0.323962i | ||||
\(935\) | 769.284 | − | 1332.44i | 0.0269073 | − | 0.0466047i | ||||
\(936\) | 3098.28 | + | 5366.38i | 0.108195 | + | 0.187399i | ||||
\(937\) | −44690.8 | − | 16266.1i | −1.55815 | − | 0.567119i | −0.587836 | − | 0.808980i | \(-0.700020\pi\) |
−0.970311 | + | 0.241861i | \(0.922242\pi\) | |||||||
\(938\) | −1770.48 | + | 2109.97i | −0.0616291 | + | 0.0734467i | ||||
\(939\) | −62369.5 | − | 36009.0i | −2.16757 | − | 1.25145i | ||||
\(940\) | −3381.05 | + | 596.170i | −0.117317 | + | 0.0206861i | ||||
\(941\) | 1973.67 | + | 11193.2i | 0.0683739 | + | 0.387767i | 0.999721 | + | 0.0236341i | \(0.00752365\pi\) |
−0.931347 | + | 0.364133i | \(0.881365\pi\) | |||||||
\(942\) | −1572.36 | − | 1873.86i | −0.0543845 | − | 0.0648129i | ||||
\(943\) | 9952.67 | + | 27344.7i | 0.343694 | + | 0.944291i | ||||
\(944\) | −3935.40 | − | 10812.4i | −0.135685 | − | 0.372791i | ||||
\(945\) | −3952.87 | − | 4710.84i | −0.136071 | − | 0.162163i | ||||
\(946\) | 1422.85 | + | 8069.39i | 0.0489016 | + | 0.277335i | ||||
\(947\) | 1635.97 | − | 288.466i | 0.0561371 | − | 0.00989849i | −0.145509 | − | 0.989357i | \(-0.546482\pi\) |
0.201646 | + | 0.979458i | \(0.435371\pi\) | |||||||
\(948\) | −7923.58 | − | 4574.68i | −0.271462 | − | 0.156729i | ||||
\(949\) | −4314.69 | + | 5142.04i | −0.147588 | + | 0.175888i | ||||
\(950\) | 26805.9 | + | 9756.55i | 0.915472 | + | 0.333204i | ||||
\(951\) | −25321.7 | − | 43858.4i | −0.863419 | − | 1.49548i | ||||
\(952\) | 524.951 | − | 909.242i | 0.0178716 | − | 0.0309545i | ||||
\(953\) | −23538.0 | + | 19750.7i | −0.800075 | + | 0.671343i | −0.948217 | − | 0.317623i | \(-0.897115\pi\) |
0.148142 | + | 0.988966i | \(0.452671\pi\) | |||||||
\(954\) | −32386.0 | + | 18698.1i | −1.09909 | + | 0.634563i | ||||
\(955\) | 602.383 | − | 3416.28i | 0.0204112 | − | 0.115757i | ||||
\(956\) | 19264.6i | 0.651739i | ||||||||
\(957\) | 12521.5 | + | 2207.88i | 0.422951 | + | 0.0745776i | ||||
\(958\) | −30350.4 | − | 25467.0i | −1.02357 | − | 0.858876i | ||||
\(959\) | −5991.21 | + | 2180.62i | −0.201737 | + | 0.0734264i | ||||
\(960\) | 1137.08 | − | 3124.09i | 0.0382281 | − | 0.105031i | ||||
\(961\) | 2118.30 | 0.0711053 | ||||||||
\(962\) | −1184.66 | + | 7208.84i | −0.0397036 | + | 0.241603i | ||||
\(963\) | −43804.6 | −1.46582 | ||||||||
\(964\) | 1375.22 | − | 3778.38i | 0.0459469 | − | 0.126238i | ||||
\(965\) | 9682.79 | − | 3524.25i | 0.323005 | − | 0.117564i | ||||
\(966\) | −6098.09 | − | 5116.90i | −0.203108 | − | 0.170428i | ||||
\(967\) | −25581.6 | − | 4510.73i | −0.850723 | − | 0.150005i | −0.268747 | − | 0.963211i | \(-0.586609\pi\) |
−0.581977 | + | 0.813205i | \(0.697721\pi\) | |||||||
\(968\) | − | 9654.52i | − | 0.320566i | ||||||
\(969\) | −5533.88 | + | 31384.2i | −0.183461 | + | 1.04046i | ||||
\(970\) | −19368.6 | + | 11182.4i | −0.641121 | + | 0.370151i | ||||
\(971\) | 21293.8 | − | 17867.6i | 0.703759 | − | 0.590524i | −0.219082 | − | 0.975707i | \(-0.570306\pi\) |
0.922840 | + | 0.385183i | \(0.125862\pi\) | |||||||
\(972\) | 5177.86 | − | 8968.32i | 0.170864 | − | 0.295945i | ||||
\(973\) | −6665.18 | − | 11544.4i | −0.219605 | − | 0.380368i | ||||
\(974\) | 25133.6 | + | 9147.88i | 0.826830 | + | 0.300941i | ||||
\(975\) | 8016.06 | − | 9553.17i | 0.263302 | − | 0.313791i | ||||
\(976\) | 12201.7 | + | 7044.68i | 0.400173 | + | 0.231040i | ||||
\(977\) | 41471.1 | − | 7312.48i | 1.35801 | − | 0.239454i | 0.553233 | − | 0.833027i | \(-0.313394\pi\) |
0.804781 | + | 0.593573i | \(0.202283\pi\) | |||||||
\(978\) | −2966.08 | − | 16821.5i | −0.0969784 | − | 0.549992i | ||||
\(979\) | −7525.80 | − | 8968.90i | −0.245685 | − | 0.292796i | ||||
\(980\) | −2551.64 | − | 7010.56i | −0.0831725 | − | 0.228515i | ||||
\(981\) | −3228.22 | − | 8869.47i | −0.105065 | − | 0.288665i | ||||
\(982\) | 3631.13 | + | 4327.41i | 0.117998 | + | 0.140624i | ||||
\(983\) | −4380.16 | − | 24841.1i | −0.142121 | − | 0.806010i | −0.969634 | − | 0.244562i | \(-0.921356\pi\) |
0.827512 | − | 0.561448i | \(-0.189755\pi\) | |||||||
\(984\) | −24585.9 | + | 4335.15i | −0.796513 | + | 0.140447i | ||||
\(985\) | 5522.05 | + | 3188.16i | 0.178627 | + | 0.103130i | ||||
\(986\) | 3898.47 | − | 4646.02i | 0.125915 | − | 0.150060i | ||||
\(987\) | −6627.25 | − | 2412.12i | −0.213726 | − | 0.0777900i | ||||
\(988\) | 5208.59 | + | 9021.55i | 0.167720 | + | 0.290500i | ||||
\(989\) | 14817.4 | − | 25664.4i | 0.476405 | − | 0.825158i | ||||
\(990\) | 4896.50 | − | 4108.65i | 0.157193 | − | 0.131900i | ||||
\(991\) | 32994.2 | − | 19049.2i | 1.05761 | − | 0.610613i | 0.132842 | − | 0.991137i | \(-0.457590\pi\) |
0.924771 | + | 0.380524i | \(0.124257\pi\) | |||||||
\(992\) | −924.370 | + | 5242.36i | −0.0295855 | + | 0.167788i | ||||
\(993\) | 46612.7i | 1.48964i | ||||||||
\(994\) | −8381.79 | − | 1477.94i | −0.267459 | − | 0.0471602i | ||||
\(995\) | 15091.4 | + | 12663.2i | 0.480833 | + | 0.403467i | ||||
\(996\) | −13594.9 | + | 4948.14i | −0.432501 | + | 0.157418i | ||||
\(997\) | −19030.8 | + | 52286.8i | −0.604526 | + | 1.66092i | 0.137460 | + | 0.990507i | \(0.456106\pi\) |
−0.741986 | + | 0.670415i | \(0.766116\pi\) | |||||||
\(998\) | −25981.1 | −0.824064 | ||||||||
\(999\) | −37724.9 | + | 14230.8i | −1.19476 | + | 0.450694i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 74.4.h.a.21.5 | ✓ | 60 | |
37.30 | even | 18 | inner | 74.4.h.a.67.5 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.h.a.21.5 | ✓ | 60 | 1.1 | even | 1 | trivial | |
74.4.h.a.67.5 | yes | 60 | 37.30 | even | 18 | inner |