Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,4,Mod(559,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.559");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.d (of order \(2\), degree \(1\), 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: | \(54.8717763053\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 2763 x^{18} + 2652899 x^{16} + 1161420105 x^{14} + 247831438280 x^{12} + 26461073949176 x^{10} + \cdots + 34\!\cdots\!00 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{5}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 559.14 | ||
Root | \(2.24994i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.559 |
Dual form | 930.4.d.c.559.4 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00000i | 0.707107i | ||||||||
\(3\) | − | 3.00000i | − | 0.577350i | ||||||
\(4\) | −4.00000 | −0.500000 | ||||||||
\(5\) | −6.23400 | + | 9.28102i | −0.557586 | + | 0.830119i | ||||
\(6\) | 6.00000 | 0.408248 | ||||||||
\(7\) | 2.24994i | 0.121485i | 0.998153 | + | 0.0607426i | \(0.0193469\pi\) | ||||
−0.998153 | + | 0.0607426i | \(0.980653\pi\) | |||||||
\(8\) | − | 8.00000i | − | 0.353553i | ||||||
\(9\) | −9.00000 | −0.333333 | ||||||||
\(10\) | −18.5620 | − | 12.4680i | −0.586983 | − | 0.394273i | ||||
\(11\) | 10.8894 | 0.298481 | 0.149240 | − | 0.988801i | \(-0.452317\pi\) | ||||
0.149240 | + | 0.988801i | \(0.452317\pi\) | |||||||
\(12\) | 12.0000i | 0.288675i | ||||||||
\(13\) | − | 9.95921i | − | 0.212476i | −0.994341 | − | 0.106238i | \(-0.966119\pi\) | ||
0.994341 | − | 0.106238i | \(-0.0338805\pi\) | |||||||
\(14\) | −4.49987 | −0.0859030 | ||||||||
\(15\) | 27.8430 | + | 18.7020i | 0.479270 | + | 0.321922i | ||||
\(16\) | 16.0000 | 0.250000 | ||||||||
\(17\) | 47.5791i | 0.678801i | 0.940642 | + | 0.339401i | \(0.110224\pi\) | ||||
−0.940642 | + | 0.339401i | \(0.889776\pi\) | |||||||
\(18\) | − | 18.0000i | − | 0.235702i | ||||||
\(19\) | 25.1773 | 0.304004 | 0.152002 | − | 0.988380i | \(-0.451428\pi\) | ||||
0.152002 | + | 0.988380i | \(0.451428\pi\) | |||||||
\(20\) | 24.9360 | − | 37.1241i | 0.278793 | − | 0.415060i | ||||
\(21\) | 6.74981 | 0.0701395 | ||||||||
\(22\) | 21.7789i | 0.211058i | ||||||||
\(23\) | 205.260i | 1.86086i | 0.366473 | + | 0.930429i | \(0.380565\pi\) | ||||
−0.366473 | + | 0.930429i | \(0.619435\pi\) | |||||||
\(24\) | −24.0000 | −0.204124 | ||||||||
\(25\) | −47.2745 | − | 115.716i | −0.378196 | − | 0.925725i | ||||
\(26\) | 19.9184 | 0.150243 | ||||||||
\(27\) | 27.0000i | 0.192450i | ||||||||
\(28\) | − | 8.99974i | − | 0.0607426i | ||||||
\(29\) | 98.6634 | 0.631770 | 0.315885 | − | 0.948797i | \(-0.397699\pi\) | ||||
0.315885 | + | 0.948797i | \(0.397699\pi\) | |||||||
\(30\) | −37.4040 | + | 55.6861i | −0.227633 | + | 0.338895i | ||||
\(31\) | −31.0000 | −0.179605 | ||||||||
\(32\) | 32.0000i | 0.176777i | ||||||||
\(33\) | − | 32.6683i | − | 0.172328i | ||||||
\(34\) | −95.1582 | −0.479985 | ||||||||
\(35\) | −20.8817 | − | 14.0261i | −0.100847 | − | 0.0677384i | ||||
\(36\) | 36.0000 | 0.166667 | ||||||||
\(37\) | − | 131.000i | − | 0.582061i | −0.956714 | − | 0.291031i | \(-0.906002\pi\) | ||
0.956714 | − | 0.291031i | \(-0.0939982\pi\) | |||||||
\(38\) | 50.3547i | 0.214963i | ||||||||
\(39\) | −29.8776 | −0.122673 | ||||||||
\(40\) | 74.2481 | + | 49.8720i | 0.293492 | + | 0.197136i | ||||
\(41\) | −482.771 | −1.83893 | −0.919465 | − | 0.393172i | \(-0.871378\pi\) | ||||
−0.919465 | + | 0.393172i | \(0.871378\pi\) | |||||||
\(42\) | 13.4996i | 0.0495961i | ||||||||
\(43\) | 274.383i | 0.973094i | 0.873654 | + | 0.486547i | \(0.161744\pi\) | ||||
−0.873654 | + | 0.486547i | \(0.838256\pi\) | |||||||
\(44\) | −43.5578 | −0.149240 | ||||||||
\(45\) | 56.1060 | − | 83.5291i | 0.185862 | − | 0.276706i | ||||
\(46\) | −410.521 | −1.31583 | ||||||||
\(47\) | − | 155.090i | − | 0.481322i | −0.970609 | − | 0.240661i | \(-0.922636\pi\) | ||
0.970609 | − | 0.240661i | \(-0.0773642\pi\) | |||||||
\(48\) | − | 48.0000i | − | 0.144338i | ||||||
\(49\) | 337.938 | 0.985241 | ||||||||
\(50\) | 231.431 | − | 94.5490i | 0.654587 | − | 0.267425i | ||||
\(51\) | 142.737 | 0.391906 | ||||||||
\(52\) | 39.8368i | 0.106238i | ||||||||
\(53\) | − | 205.199i | − | 0.531815i | −0.963999 | − | 0.265908i | \(-0.914328\pi\) | ||
0.963999 | − | 0.265908i | \(-0.0856716\pi\) | |||||||
\(54\) | −54.0000 | −0.136083 | ||||||||
\(55\) | −67.8848 | + | 101.065i | −0.166429 | + | 0.247775i | ||||
\(56\) | 17.9995 | 0.0429515 | ||||||||
\(57\) | − | 75.5320i | − | 0.175517i | ||||||
\(58\) | 197.327i | 0.446729i | ||||||||
\(59\) | −449.126 | −0.991039 | −0.495519 | − | 0.868597i | \(-0.665022\pi\) | ||||
−0.495519 | + | 0.868597i | \(0.665022\pi\) | |||||||
\(60\) | −111.372 | − | 74.8080i | −0.239635 | − | 0.160961i | ||||
\(61\) | −402.422 | −0.844670 | −0.422335 | − | 0.906440i | \(-0.638789\pi\) | ||||
−0.422335 | + | 0.906440i | \(0.638789\pi\) | |||||||
\(62\) | − | 62.0000i | − | 0.127000i | ||||||
\(63\) | − | 20.2494i | − | 0.0404950i | ||||||
\(64\) | −64.0000 | −0.125000 | ||||||||
\(65\) | 92.4316 | + | 62.0857i | 0.176380 | + | 0.118474i | ||||
\(66\) | 65.3367 | 0.121854 | ||||||||
\(67\) | − | 709.830i | − | 1.29432i | −0.762354 | − | 0.647161i | \(-0.775956\pi\) | ||
0.762354 | − | 0.647161i | \(-0.224044\pi\) | |||||||
\(68\) | − | 190.316i | − | 0.339401i | ||||||
\(69\) | 615.781 | 1.07437 | ||||||||
\(70\) | 28.0522 | − | 41.7634i | 0.0478983 | − | 0.0713097i | ||||
\(71\) | 92.4428 | 0.154520 | 0.0772602 | − | 0.997011i | \(-0.475383\pi\) | ||||
0.0772602 | + | 0.997011i | \(0.475383\pi\) | |||||||
\(72\) | 72.0000i | 0.117851i | ||||||||
\(73\) | − | 207.183i | − | 0.332177i | −0.986111 | − | 0.166088i | \(-0.946886\pi\) | ||
0.986111 | − | 0.166088i | \(-0.0531137\pi\) | |||||||
\(74\) | 262.000 | 0.411579 | ||||||||
\(75\) | −347.147 | + | 141.824i | −0.534468 | + | 0.218352i | ||||
\(76\) | −100.709 | −0.152002 | ||||||||
\(77\) | 24.5006i | 0.0362610i | ||||||||
\(78\) | − | 59.7553i | − | 0.0867429i | ||||||
\(79\) | −391.407 | −0.557426 | −0.278713 | − | 0.960374i | \(-0.589908\pi\) | ||||
−0.278713 | + | 0.960374i | \(0.589908\pi\) | |||||||
\(80\) | −99.7440 | + | 148.496i | −0.139396 | + | 0.207530i | ||||
\(81\) | 81.0000 | 0.111111 | ||||||||
\(82\) | − | 965.542i | − | 1.30032i | ||||||
\(83\) | 936.113i | 1.23797i | 0.785402 | + | 0.618986i | \(0.212456\pi\) | ||||
−0.785402 | + | 0.618986i | \(0.787544\pi\) | |||||||
\(84\) | −26.9992 | −0.0350697 | ||||||||
\(85\) | −441.582 | − | 296.608i | −0.563486 | − | 0.378490i | ||||
\(86\) | −548.766 | −0.688081 | ||||||||
\(87\) | − | 295.990i | − | 0.364753i | ||||||
\(88\) | − | 87.1155i | − | 0.105529i | ||||||
\(89\) | 500.955 | 0.596642 | 0.298321 | − | 0.954466i | \(-0.403573\pi\) | ||||
0.298321 | + | 0.954466i | \(0.403573\pi\) | |||||||
\(90\) | 167.058 | + | 112.212i | 0.195661 | + | 0.131424i | ||||
\(91\) | 22.4076 | 0.0258127 | ||||||||
\(92\) | − | 821.041i | − | 0.930429i | ||||||
\(93\) | 93.0000i | 0.103695i | ||||||||
\(94\) | 310.179 | 0.340346 | ||||||||
\(95\) | −156.955 | + | 233.671i | −0.169508 | + | 0.252360i | ||||
\(96\) | 96.0000 | 0.102062 | ||||||||
\(97\) | 418.229i | 0.437780i | 0.975750 | + | 0.218890i | \(0.0702436\pi\) | ||||
−0.975750 | + | 0.218890i | \(0.929756\pi\) | |||||||
\(98\) | 675.876i | 0.696671i | ||||||||
\(99\) | −98.0050 | −0.0994936 | ||||||||
\(100\) | 189.098 | + | 462.863i | 0.189098 | + | 0.462863i | ||||
\(101\) | −293.770 | −0.289418 | −0.144709 | − | 0.989474i | \(-0.546225\pi\) | ||||
−0.144709 | + | 0.989474i | \(0.546225\pi\) | |||||||
\(102\) | 285.474i | 0.277119i | ||||||||
\(103\) | − | 1903.51i | − | 1.82095i | −0.413563 | − | 0.910476i | \(-0.635716\pi\) | ||
0.413563 | − | 0.910476i | \(-0.364284\pi\) | |||||||
\(104\) | −79.6737 | −0.0751216 | ||||||||
\(105\) | −42.0783 | + | 62.6451i | −0.0391088 | + | 0.0582241i | ||||
\(106\) | 410.397 | 0.376050 | ||||||||
\(107\) | − | 1517.88i | − | 1.37139i | −0.727887 | − | 0.685697i | \(-0.759497\pi\) | ||
0.727887 | − | 0.685697i | \(-0.240503\pi\) | |||||||
\(108\) | − | 108.000i | − | 0.0962250i | ||||||
\(109\) | −1875.15 | −1.64777 | −0.823883 | − | 0.566760i | \(-0.808197\pi\) | ||||
−0.823883 | + | 0.566760i | \(0.808197\pi\) | |||||||
\(110\) | −202.130 | − | 135.770i | −0.175203 | − | 0.117683i | ||||
\(111\) | −393.000 | −0.336053 | ||||||||
\(112\) | 35.9990i | 0.0303713i | ||||||||
\(113\) | − | 1711.38i | − | 1.42472i | −0.701814 | − | 0.712360i | \(-0.747626\pi\) | ||
0.701814 | − | 0.712360i | \(-0.252374\pi\) | |||||||
\(114\) | 151.064 | 0.124109 | ||||||||
\(115\) | −1905.02 | − | 1279.59i | −1.54473 | − | 1.03759i | ||||
\(116\) | −394.654 | −0.315885 | ||||||||
\(117\) | 89.6329i | 0.0708253i | ||||||||
\(118\) | − | 898.253i | − | 0.700770i | ||||||
\(119\) | −107.050 | −0.0824643 | ||||||||
\(120\) | 149.616 | − | 222.744i | 0.113817 | − | 0.169447i | ||||
\(121\) | −1212.42 | −0.910909 | ||||||||
\(122\) | − | 804.844i | − | 0.597272i | ||||||
\(123\) | 1448.31i | 1.06171i | ||||||||
\(124\) | 124.000 | 0.0898027 | ||||||||
\(125\) | 1368.67 | + | 282.616i | 0.979339 | + | 0.202223i | ||||
\(126\) | 40.4989 | 0.0286343 | ||||||||
\(127\) | − | 254.670i | − | 0.177940i | −0.996034 | − | 0.0889698i | \(-0.971643\pi\) | ||
0.996034 | − | 0.0889698i | \(-0.0283575\pi\) | |||||||
\(128\) | − | 128.000i | − | 0.0883883i | ||||||
\(129\) | 823.150 | 0.561816 | ||||||||
\(130\) | −124.171 | + | 184.863i | −0.0837735 | + | 0.124720i | ||||
\(131\) | −2563.41 | −1.70967 | −0.854833 | − | 0.518903i | \(-0.826341\pi\) | ||||
−0.854833 | + | 0.518903i | \(0.826341\pi\) | |||||||
\(132\) | 130.673i | 0.0861640i | ||||||||
\(133\) | 56.6474i | 0.0369320i | ||||||||
\(134\) | 1419.66 | 0.915223 | ||||||||
\(135\) | −250.587 | − | 168.318i | −0.159757 | − | 0.107307i | ||||
\(136\) | 380.633 | 0.239993 | ||||||||
\(137\) | 1134.23i | 0.707329i | 0.935372 | + | 0.353664i | \(0.115064\pi\) | ||||
−0.935372 | + | 0.353664i | \(0.884936\pi\) | |||||||
\(138\) | 1231.56i | 0.759692i | ||||||||
\(139\) | −2489.71 | −1.51924 | −0.759620 | − | 0.650367i | \(-0.774615\pi\) | ||||
−0.759620 | + | 0.650367i | \(0.774615\pi\) | |||||||
\(140\) | 83.5268 | + | 56.1044i | 0.0504236 | + | 0.0338692i | ||||
\(141\) | −465.269 | −0.277892 | ||||||||
\(142\) | 184.886i | 0.109262i | ||||||||
\(143\) | − | 108.450i | − | 0.0634200i | ||||||
\(144\) | −144.000 | −0.0833333 | ||||||||
\(145\) | −615.068 | + | 915.697i | −0.352266 | + | 0.524445i | ||||
\(146\) | 414.366 | 0.234885 | ||||||||
\(147\) | − | 1013.81i | − | 0.568829i | ||||||
\(148\) | 524.000i | 0.291031i | ||||||||
\(149\) | −1456.20 | −0.800649 | −0.400324 | − | 0.916373i | \(-0.631103\pi\) | ||||
−0.400324 | + | 0.916373i | \(0.631103\pi\) | |||||||
\(150\) | −283.647 | − | 694.294i | −0.154398 | − | 0.377926i | ||||
\(151\) | −1902.46 | −1.02530 | −0.512648 | − | 0.858599i | \(-0.671335\pi\) | ||||
−0.512648 | + | 0.858599i | \(0.671335\pi\) | |||||||
\(152\) | − | 201.419i | − | 0.107482i | ||||||
\(153\) | − | 428.212i | − | 0.226267i | ||||||
\(154\) | −49.0011 | −0.0256404 | ||||||||
\(155\) | 193.254 | − | 287.712i | 0.100145 | − | 0.149094i | ||||
\(156\) | 119.511 | 0.0613365 | ||||||||
\(157\) | − | 2174.76i | − | 1.10551i | −0.833345 | − | 0.552754i | \(-0.813577\pi\) | ||
0.833345 | − | 0.552754i | \(-0.186423\pi\) | |||||||
\(158\) | − | 782.813i | − | 0.394160i | ||||||
\(159\) | −615.596 | −0.307044 | ||||||||
\(160\) | −296.993 | − | 199.488i | −0.146746 | − | 0.0985682i | ||||
\(161\) | −461.823 | −0.226067 | ||||||||
\(162\) | 162.000i | 0.0785674i | ||||||||
\(163\) | 287.277i | 0.138045i | 0.997615 | + | 0.0690224i | \(0.0219880\pi\) | ||||
−0.997615 | + | 0.0690224i | \(0.978012\pi\) | |||||||
\(164\) | 1931.08 | 0.919465 | ||||||||
\(165\) | 303.195 | + | 203.654i | 0.143053 | + | 0.0960877i | ||||
\(166\) | −1872.23 | −0.875379 | ||||||||
\(167\) | − | 729.658i | − | 0.338099i | −0.985608 | − | 0.169050i | \(-0.945930\pi\) | ||
0.985608 | − | 0.169050i | \(-0.0540698\pi\) | |||||||
\(168\) | − | 53.9985i | − | 0.0247980i | ||||||
\(169\) | 2097.81 | 0.954854 | ||||||||
\(170\) | 593.216 | − | 883.164i | 0.267633 | − | 0.398445i | ||||
\(171\) | −226.596 | −0.101335 | ||||||||
\(172\) | − | 1097.53i | − | 0.486547i | ||||||
\(173\) | − | 618.987i | − | 0.272027i | −0.990707 | − | 0.136014i | \(-0.956571\pi\) | ||
0.990707 | − | 0.136014i | \(-0.0434291\pi\) | |||||||
\(174\) | 591.980 | 0.257919 | ||||||||
\(175\) | 260.353 | − | 106.365i | 0.112462 | − | 0.0459452i | ||||
\(176\) | 174.231 | 0.0746202 | ||||||||
\(177\) | 1347.38i | 0.572176i | ||||||||
\(178\) | 1001.91i | 0.421890i | ||||||||
\(179\) | −1675.34 | −0.699558 | −0.349779 | − | 0.936832i | \(-0.613743\pi\) | ||||
−0.349779 | + | 0.936832i | \(0.613743\pi\) | |||||||
\(180\) | −224.424 | + | 334.117i | −0.0929310 | + | 0.138353i | ||||
\(181\) | −1059.19 | −0.434967 | −0.217483 | − | 0.976064i | \(-0.569785\pi\) | ||||
−0.217483 | + | 0.976064i | \(0.569785\pi\) | |||||||
\(182\) | 44.8152i | 0.0182523i | ||||||||
\(183\) | 1207.27i | 0.487670i | ||||||||
\(184\) | 1642.08 | 0.657913 | ||||||||
\(185\) | 1215.81 | + | 816.654i | 0.483180 | + | 0.324549i | ||||
\(186\) | −186.000 | −0.0733236 | ||||||||
\(187\) | 518.110i | 0.202609i | ||||||||
\(188\) | 620.358i | 0.240661i | ||||||||
\(189\) | −60.7483 | −0.0233798 | ||||||||
\(190\) | −467.342 | − | 313.911i | −0.178445 | − | 0.119860i | ||||
\(191\) | 2708.30 | 1.02600 | 0.512999 | − | 0.858389i | \(-0.328534\pi\) | ||||
0.512999 | + | 0.858389i | \(0.328534\pi\) | |||||||
\(192\) | 192.000i | 0.0721688i | ||||||||
\(193\) | 1465.36i | 0.546524i | 0.961940 | + | 0.273262i | \(0.0881026\pi\) | ||||
−0.961940 | + | 0.273262i | \(0.911897\pi\) | |||||||
\(194\) | −836.457 | −0.309557 | ||||||||
\(195\) | 186.257 | − | 277.295i | 0.0684008 | − | 0.101833i | ||||
\(196\) | −1351.75 | −0.492621 | ||||||||
\(197\) | 1816.44i | 0.656933i | 0.944516 | + | 0.328466i | \(0.106532\pi\) | ||||
−0.944516 | + | 0.328466i | \(0.893468\pi\) | |||||||
\(198\) | − | 196.010i | − | 0.0703526i | ||||||
\(199\) | 1278.12 | 0.455295 | 0.227648 | − | 0.973744i | \(-0.426897\pi\) | ||||
0.227648 | + | 0.973744i | \(0.426897\pi\) | |||||||
\(200\) | −925.725 | + | 378.196i | −0.327293 | + | 0.133713i | ||||
\(201\) | −2129.49 | −0.747277 | ||||||||
\(202\) | − | 587.540i | − | 0.204650i | ||||||
\(203\) | 221.986i | 0.0767507i | ||||||||
\(204\) | −570.949 | −0.195953 | ||||||||
\(205\) | 3009.59 | − | 4480.60i | 1.02536 | − | 1.52653i | ||||
\(206\) | 3807.01 | 1.28761 | ||||||||
\(207\) | − | 1847.34i | − | 0.620286i | ||||||
\(208\) | − | 159.347i | − | 0.0531190i | ||||||
\(209\) | 274.167 | 0.0907394 | ||||||||
\(210\) | −125.290 | − | 84.1566i | −0.0411707 | − | 0.0276541i | ||||
\(211\) | 1969.15 | 0.642474 | 0.321237 | − | 0.946999i | \(-0.395901\pi\) | ||||
0.321237 | + | 0.946999i | \(0.395901\pi\) | |||||||
\(212\) | 820.794i | 0.265908i | ||||||||
\(213\) | − | 277.328i | − | 0.0892124i | ||||||
\(214\) | 3035.76 | 0.969722 | ||||||||
\(215\) | −2546.56 | − | 1710.50i | −0.807784 | − | 0.542583i | ||||
\(216\) | 216.000 | 0.0680414 | ||||||||
\(217\) | − | 69.7480i | − | 0.0218194i | ||||||
\(218\) | − | 3750.29i | − | 1.16515i | ||||||
\(219\) | −621.548 | −0.191782 | ||||||||
\(220\) | 271.539 | − | 404.260i | 0.0832144 | − | 0.123887i | ||||
\(221\) | 473.850 | 0.144229 | ||||||||
\(222\) | − | 786.000i | − | 0.237626i | ||||||
\(223\) | − | 3020.81i | − | 0.907122i | −0.891225 | − | 0.453561i | \(-0.850153\pi\) | ||
0.891225 | − | 0.453561i | \(-0.149847\pi\) | |||||||
\(224\) | −71.9980 | −0.0214757 | ||||||||
\(225\) | 425.471 | + | 1041.44i | 0.126065 | + | 0.308575i | ||||
\(226\) | 3422.77 | 1.00743 | ||||||||
\(227\) | 1509.70i | 0.441420i | 0.975339 | + | 0.220710i | \(0.0708375\pi\) | ||||
−0.975339 | + | 0.220710i | \(0.929162\pi\) | |||||||
\(228\) | 302.128i | 0.0877584i | ||||||||
\(229\) | −4937.81 | −1.42489 | −0.712444 | − | 0.701729i | \(-0.752412\pi\) | ||||
−0.712444 | + | 0.701729i | \(0.752412\pi\) | |||||||
\(230\) | 2559.18 | − | 3810.05i | 0.733685 | − | 1.09229i | ||||
\(231\) | 73.5017 | 0.0209353 | ||||||||
\(232\) | − | 789.307i | − | 0.223364i | ||||||
\(233\) | 6055.71i | 1.70267i | 0.524621 | + | 0.851336i | \(0.324207\pi\) | ||||
−0.524621 | + | 0.851336i | \(0.675793\pi\) | |||||||
\(234\) | −179.266 | −0.0500811 | ||||||||
\(235\) | 1439.39 | + | 966.828i | 0.399555 | + | 0.268378i | ||||
\(236\) | 1796.51 | 0.495519 | ||||||||
\(237\) | 1174.22i | 0.321830i | ||||||||
\(238\) | − | 214.100i | − | 0.0583110i | ||||||
\(239\) | 2028.23 | 0.548935 | 0.274467 | − | 0.961596i | \(-0.411498\pi\) | ||||
0.274467 | + | 0.961596i | \(0.411498\pi\) | |||||||
\(240\) | 445.489 | + | 299.232i | 0.119817 | + | 0.0804806i | ||||
\(241\) | −1848.47 | −0.494067 | −0.247033 | − | 0.969007i | \(-0.579456\pi\) | ||||
−0.247033 | + | 0.969007i | \(0.579456\pi\) | |||||||
\(242\) | − | 2424.84i | − | 0.644110i | ||||||
\(243\) | − | 243.000i | − | 0.0641500i | ||||||
\(244\) | 1609.69 | 0.422335 | ||||||||
\(245\) | −2106.70 | + | 3136.41i | −0.549357 | + | 0.817868i | ||||
\(246\) | −2896.63 | −0.750740 | ||||||||
\(247\) | − | 250.746i | − | 0.0645935i | ||||||
\(248\) | 248.000i | 0.0635001i | ||||||||
\(249\) | 2808.34 | 0.714744 | ||||||||
\(250\) | −565.232 | + | 2737.34i | −0.142994 | + | 0.692498i | ||||
\(251\) | 4491.18 | 1.12941 | 0.564703 | − | 0.825294i | \(-0.308991\pi\) | ||||
0.564703 | + | 0.825294i | \(0.308991\pi\) | |||||||
\(252\) | 80.9977i | 0.0202475i | ||||||||
\(253\) | 2235.17i | 0.555431i | ||||||||
\(254\) | 509.340 | 0.125822 | ||||||||
\(255\) | −889.824 | + | 1324.75i | −0.218521 | + | 0.325329i | ||||
\(256\) | 256.000 | 0.0625000 | ||||||||
\(257\) | − | 7305.07i | − | 1.77306i | −0.462667 | − | 0.886532i | \(-0.653107\pi\) | ||
0.462667 | − | 0.886532i | \(-0.346893\pi\) | |||||||
\(258\) | 1646.30i | 0.397264i | ||||||||
\(259\) | 294.742 | 0.0707118 | ||||||||
\(260\) | −369.726 | − | 248.343i | −0.0881902 | − | 0.0592368i | ||||
\(261\) | −887.971 | −0.210590 | ||||||||
\(262\) | − | 5126.82i | − | 1.20892i | ||||||
\(263\) | − | 91.2037i | − | 0.0213835i | −0.999943 | − | 0.0106918i | \(-0.996597\pi\) | ||
0.999943 | − | 0.0106918i | \(-0.00340335\pi\) | |||||||
\(264\) | −261.347 | −0.0609272 | ||||||||
\(265\) | 1904.45 | + | 1279.21i | 0.441470 | + | 0.296533i | ||||
\(266\) | −113.295 | −0.0261148 | ||||||||
\(267\) | − | 1502.87i | − | 0.344471i | ||||||
\(268\) | 2839.32i | 0.647161i | ||||||||
\(269\) | 6053.61 | 1.37210 | 0.686050 | − | 0.727555i | \(-0.259343\pi\) | ||||
0.686050 | + | 0.727555i | \(0.259343\pi\) | |||||||
\(270\) | 336.636 | − | 501.175i | 0.0758778 | − | 0.112965i | ||||
\(271\) | −7739.32 | −1.73480 | −0.867399 | − | 0.497614i | \(-0.834210\pi\) | ||||
−0.867399 | + | 0.497614i | \(0.834210\pi\) | |||||||
\(272\) | 761.265i | 0.169700i | ||||||||
\(273\) | − | 67.2228i | − | 0.0149030i | ||||||
\(274\) | −2268.46 | −0.500157 | ||||||||
\(275\) | −514.793 | − | 1260.08i | −0.112884 | − | 0.276311i | ||||
\(276\) | −2463.12 | −0.537183 | ||||||||
\(277\) | − | 3573.85i | − | 0.775206i | −0.921826 | − | 0.387603i | \(-0.873303\pi\) | ||
0.921826 | − | 0.387603i | \(-0.126697\pi\) | |||||||
\(278\) | − | 4979.42i | − | 1.07427i | ||||||
\(279\) | 279.000 | 0.0598684 | ||||||||
\(280\) | −112.209 | + | 167.054i | −0.0239491 | + | 0.0356549i | ||||
\(281\) | 2091.82 | 0.444083 | 0.222042 | − | 0.975037i | \(-0.428728\pi\) | ||||
0.222042 | + | 0.975037i | \(0.428728\pi\) | |||||||
\(282\) | − | 930.538i | − | 0.196499i | ||||||
\(283\) | − | 2554.99i | − | 0.536672i | −0.963325 | − | 0.268336i | \(-0.913526\pi\) | ||
0.963325 | − | 0.268336i | \(-0.0864737\pi\) | |||||||
\(284\) | −369.771 | −0.0772602 | ||||||||
\(285\) | 701.014 | + | 470.866i | 0.145700 | + | 0.0978656i | ||||
\(286\) | 216.900 | 0.0448447 | ||||||||
\(287\) | − | 1086.20i | − | 0.223403i | ||||||
\(288\) | − | 288.000i | − | 0.0589256i | ||||||
\(289\) | 2649.23 | 0.539229 | ||||||||
\(290\) | −1831.39 | − | 1230.14i | −0.370838 | − | 0.249090i | ||||
\(291\) | 1254.69 | 0.252752 | ||||||||
\(292\) | 828.731i | 0.166088i | ||||||||
\(293\) | 3574.07i | 0.712625i | 0.934367 | + | 0.356313i | \(0.115966\pi\) | ||||
−0.934367 | + | 0.356313i | \(0.884034\pi\) | |||||||
\(294\) | 2027.63 | 0.402223 | ||||||||
\(295\) | 2799.85 | − | 4168.35i | 0.552589 | − | 0.822680i | ||||
\(296\) | −1048.00 | −0.205790 | ||||||||
\(297\) | 294.015i | 0.0574427i | ||||||||
\(298\) | − | 2912.40i | − | 0.566144i | ||||||
\(299\) | 2044.23 | 0.395388 | ||||||||
\(300\) | 1388.59 | − | 567.294i | 0.267234 | − | 0.109176i | ||||
\(301\) | −617.345 | −0.118216 | ||||||||
\(302\) | − | 3804.91i | − | 0.724994i | ||||||
\(303\) | 881.311i | 0.167096i | ||||||||
\(304\) | 402.837 | 0.0760010 | ||||||||
\(305\) | 2508.70 | − | 3734.89i | 0.470976 | − | 0.701177i | ||||
\(306\) | 856.423 | 0.159995 | ||||||||
\(307\) | 1272.37i | 0.236541i | 0.992981 | + | 0.118270i | \(0.0377350\pi\) | ||||
−0.992981 | + | 0.118270i | \(0.962265\pi\) | |||||||
\(308\) | − | 98.0022i | − | 0.0181305i | ||||||
\(309\) | −5710.52 | −1.05133 | ||||||||
\(310\) | 575.423 | + | 386.508i | 0.105425 | + | 0.0708135i | ||||
\(311\) | −211.004 | −0.0384725 | −0.0192362 | − | 0.999815i | \(-0.506123\pi\) | ||||
−0.0192362 | + | 0.999815i | \(0.506123\pi\) | |||||||
\(312\) | 239.021i | 0.0433715i | ||||||||
\(313\) | 7743.12i | 1.39830i | 0.714976 | + | 0.699149i | \(0.246437\pi\) | ||||
−0.714976 | + | 0.699149i | \(0.753563\pi\) | |||||||
\(314\) | 4349.52 | 0.781712 | ||||||||
\(315\) | 187.935 | + | 126.235i | 0.0336157 | + | 0.0225795i | ||||
\(316\) | 1565.63 | 0.278713 | ||||||||
\(317\) | − | 5554.49i | − | 0.984137i | −0.870556 | − | 0.492068i | \(-0.836241\pi\) | ||
0.870556 | − | 0.492068i | \(-0.163759\pi\) | |||||||
\(318\) | − | 1231.19i | − | 0.217113i | ||||||
\(319\) | 1074.39 | 0.188571 | ||||||||
\(320\) | 398.976 | − | 593.985i | 0.0696982 | − | 0.103765i | ||||
\(321\) | −4553.65 | −0.791775 | ||||||||
\(322\) | − | 923.645i | − | 0.159853i | ||||||
\(323\) | 1197.91i | 0.206358i | ||||||||
\(324\) | −324.000 | −0.0555556 | ||||||||
\(325\) | −1152.44 | + | 470.817i | −0.196694 | + | 0.0803576i | ||||
\(326\) | −574.555 | −0.0976124 | ||||||||
\(327\) | 5625.44i | 0.951338i | ||||||||
\(328\) | 3862.17i | 0.650160i | ||||||||
\(329\) | 348.942 | 0.0584735 | ||||||||
\(330\) | −407.309 | + | 606.391i | −0.0679442 | + | 0.101154i | ||||
\(331\) | −3684.80 | −0.611888 | −0.305944 | − | 0.952050i | \(-0.598972\pi\) | ||||
−0.305944 | + | 0.952050i | \(0.598972\pi\) | |||||||
\(332\) | − | 3744.45i | − | 0.618986i | ||||||
\(333\) | 1179.00i | 0.194020i | ||||||||
\(334\) | 1459.32 | 0.239072 | ||||||||
\(335\) | 6587.94 | + | 4425.08i | 1.07444 | + | 0.721695i | ||||
\(336\) | 107.997 | 0.0175349 | ||||||||
\(337\) | 8299.86i | 1.34161i | 0.741634 | + | 0.670804i | \(0.234051\pi\) | ||||
−0.741634 | + | 0.670804i | \(0.765949\pi\) | |||||||
\(338\) | 4195.63i | 0.675184i | ||||||||
\(339\) | −5134.15 | −0.822563 | ||||||||
\(340\) | 1766.33 | + | 1186.43i | 0.281743 | + | 0.189245i | ||||
\(341\) | −337.573 | −0.0536088 | ||||||||
\(342\) | − | 453.192i | − | 0.0716544i | ||||||
\(343\) | 1532.07i | 0.241177i | ||||||||
\(344\) | 2195.07 | 0.344041 | ||||||||
\(345\) | −3838.78 | + | 5715.07i | −0.599052 | + | 0.891853i | ||||
\(346\) | 1237.97 | 0.192352 | ||||||||
\(347\) | − | 762.646i | − | 0.117985i | −0.998258 | − | 0.0589927i | \(-0.981211\pi\) | ||
0.998258 | − | 0.0589927i | \(-0.0187889\pi\) | |||||||
\(348\) | 1183.96i | 0.182376i | ||||||||
\(349\) | −2941.61 | −0.451177 | −0.225589 | − | 0.974223i | \(-0.572431\pi\) | ||||
−0.225589 | + | 0.974223i | \(0.572431\pi\) | |||||||
\(350\) | 212.729 | + | 520.706i | 0.0324882 | + | 0.0795226i | ||||
\(351\) | 268.899 | 0.0408910 | ||||||||
\(352\) | 348.462i | 0.0527645i | ||||||||
\(353\) | 815.296i | 0.122929i | 0.998109 | + | 0.0614643i | \(0.0195770\pi\) | ||||
−0.998109 | + | 0.0614643i | \(0.980423\pi\) | |||||||
\(354\) | −2694.76 | −0.404590 | ||||||||
\(355\) | −576.288 | + | 857.963i | −0.0861583 | + | 0.128270i | ||||
\(356\) | −2003.82 | −0.298321 | ||||||||
\(357\) | 321.150i | 0.0476108i | ||||||||
\(358\) | − | 3350.68i | − | 0.494662i | ||||||
\(359\) | −8579.01 | −1.26123 | −0.630617 | − | 0.776094i | \(-0.717198\pi\) | ||||
−0.630617 | + | 0.776094i | \(0.717198\pi\) | |||||||
\(360\) | −668.233 | − | 448.848i | −0.0978305 | − | 0.0657121i | ||||
\(361\) | −6225.10 | −0.907582 | ||||||||
\(362\) | − | 2118.38i | − | 0.307568i | ||||||
\(363\) | 3637.26i | 0.525914i | ||||||||
\(364\) | −89.6303 | −0.0129063 | ||||||||
\(365\) | 1922.87 | + | 1291.58i | 0.275746 | + | 0.185217i | ||||
\(366\) | −2414.53 | −0.344835 | ||||||||
\(367\) | 11319.4i | 1.60999i | 0.593280 | + | 0.804996i | \(0.297833\pi\) | ||||
−0.593280 | + | 0.804996i | \(0.702167\pi\) | |||||||
\(368\) | 3284.16i | 0.465214i | ||||||||
\(369\) | 4344.94 | 0.612977 | ||||||||
\(370\) | −1633.31 | + | 2431.63i | −0.229491 | + | 0.341660i | ||||
\(371\) | 461.684 | 0.0646076 | ||||||||
\(372\) | − | 372.000i | − | 0.0518476i | ||||||
\(373\) | 4921.92i | 0.683237i | 0.939839 | + | 0.341619i | \(0.110975\pi\) | ||||
−0.939839 | + | 0.341619i | \(0.889025\pi\) | |||||||
\(374\) | −1036.22 | −0.143266 | ||||||||
\(375\) | 847.847 | − | 4106.01i | 0.116754 | − | 0.565422i | ||||
\(376\) | −1240.72 | −0.170173 | ||||||||
\(377\) | − | 982.609i | − | 0.134236i | ||||||
\(378\) | − | 121.497i | − | 0.0165320i | ||||||
\(379\) | 6361.23 | 0.862149 | 0.431075 | − | 0.902316i | \(-0.358135\pi\) | ||||
0.431075 | + | 0.902316i | \(0.358135\pi\) | |||||||
\(380\) | 627.822 | − | 934.685i | 0.0847541 | − | 0.126180i | ||||
\(381\) | −764.011 | −0.102733 | ||||||||
\(382\) | 5416.60i | 0.725490i | ||||||||
\(383\) | 6047.87i | 0.806871i | 0.915008 | + | 0.403436i | \(0.132184\pi\) | ||||
−0.915008 | + | 0.403436i | \(0.867816\pi\) | |||||||
\(384\) | −384.000 | −0.0510310 | ||||||||
\(385\) | −227.390 | − | 152.736i | −0.0301010 | − | 0.0202186i | ||||
\(386\) | −2930.73 | −0.386451 | ||||||||
\(387\) | − | 2469.45i | − | 0.324365i | ||||||
\(388\) | − | 1672.91i | − | 0.218890i | ||||||
\(389\) | 6144.42 | 0.800860 | 0.400430 | − | 0.916327i | \(-0.368861\pi\) | ||||
0.400430 | + | 0.916327i | \(0.368861\pi\) | |||||||
\(390\) | 554.589 | + | 372.514i | 0.0720070 | + | 0.0483666i | ||||
\(391\) | −9766.10 | −1.26315 | ||||||||
\(392\) | − | 2703.50i | − | 0.348335i | ||||||
\(393\) | 7690.23i | 0.987076i | ||||||||
\(394\) | −3632.87 | −0.464521 | ||||||||
\(395\) | 2440.03 | − | 3632.65i | 0.310813 | − | 0.462730i | ||||
\(396\) | 392.020 | 0.0497468 | ||||||||
\(397\) | 7404.02i | 0.936013i | 0.883725 | + | 0.468006i | \(0.155028\pi\) | ||||
−0.883725 | + | 0.468006i | \(0.844972\pi\) | |||||||
\(398\) | 2556.25i | 0.321942i | ||||||||
\(399\) | 169.942 | 0.0213227 | ||||||||
\(400\) | −756.392 | − | 1851.45i | −0.0945490 | − | 0.231431i | ||||
\(401\) | 9297.88 | 1.15789 | 0.578945 | − | 0.815366i | \(-0.303465\pi\) | ||||
0.578945 | + | 0.815366i | \(0.303465\pi\) | |||||||
\(402\) | − | 4258.98i | − | 0.528404i | ||||||
\(403\) | 308.735i | 0.0381618i | ||||||||
\(404\) | 1175.08 | 0.144709 | ||||||||
\(405\) | −504.954 | + | 751.762i | −0.0619540 | + | 0.0922355i | ||||
\(406\) | −443.973 | −0.0542709 | ||||||||
\(407\) | − | 1426.52i | − | 0.173734i | ||||||
\(408\) | − | 1141.90i | − | 0.138560i | ||||||
\(409\) | −1759.08 | −0.212668 | −0.106334 | − | 0.994330i | \(-0.533911\pi\) | ||||
−0.106334 | + | 0.994330i | \(0.533911\pi\) | |||||||
\(410\) | 8961.21 | + | 6019.19i | 1.07942 | + | 0.725040i | ||||
\(411\) | 3402.70 | 0.408376 | ||||||||
\(412\) | 7614.02i | 0.910476i | ||||||||
\(413\) | − | 1010.51i | − | 0.120396i | ||||||
\(414\) | 3694.68 | 0.438608 | ||||||||
\(415\) | −8688.08 | − | 5835.73i | −1.02767 | − | 0.690276i | ||||
\(416\) | 318.695 | 0.0375608 | ||||||||
\(417\) | 7469.13i | 0.877134i | ||||||||
\(418\) | 548.334i | 0.0641624i | ||||||||
\(419\) | −2560.32 | −0.298520 | −0.149260 | − | 0.988798i | \(-0.547689\pi\) | ||||
−0.149260 | + | 0.988798i | \(0.547689\pi\) | |||||||
\(420\) | 168.313 | − | 250.580i | 0.0195544 | − | 0.0291121i | ||||
\(421\) | −521.060 | −0.0603204 | −0.0301602 | − | 0.999545i | \(-0.509602\pi\) | ||||
−0.0301602 | + | 0.999545i | \(0.509602\pi\) | |||||||
\(422\) | 3938.30i | 0.454298i | ||||||||
\(423\) | 1395.81i | 0.160441i | ||||||||
\(424\) | −1641.59 | −0.188025 | ||||||||
\(425\) | 5505.65 | − | 2249.28i | 0.628384 | − | 0.256720i | ||||
\(426\) | 554.657 | 0.0630827 | ||||||||
\(427\) | − | 905.424i | − | 0.102615i | ||||||
\(428\) | 6071.53i | 0.685697i | ||||||||
\(429\) | −325.351 | −0.0366156 | ||||||||
\(430\) | 3421.01 | − | 5093.11i | 0.383664 | − | 0.571190i | ||||
\(431\) | 9908.05 | 1.10732 | 0.553659 | − | 0.832743i | \(-0.313231\pi\) | ||||
0.553659 | + | 0.832743i | \(0.313231\pi\) | |||||||
\(432\) | 432.000i | 0.0481125i | ||||||||
\(433\) | 6923.06i | 0.768363i | 0.923258 | + | 0.384181i | \(0.125516\pi\) | ||||
−0.923258 | + | 0.384181i | \(0.874484\pi\) | |||||||
\(434\) | 139.496 | 0.0154286 | ||||||||
\(435\) | 2747.09 | + | 1845.20i | 0.302788 | + | 0.203381i | ||||
\(436\) | 7500.59 | 0.823883 | ||||||||
\(437\) | 5167.90i | 0.565708i | ||||||||
\(438\) | − | 1243.10i | − | 0.135611i | ||||||
\(439\) | −9678.94 | −1.05228 | −0.526140 | − | 0.850398i | \(-0.676361\pi\) | ||||
−0.526140 | + | 0.850398i | \(0.676361\pi\) | |||||||
\(440\) | 808.521 | + | 543.078i | 0.0876016 | + | 0.0588414i | ||||
\(441\) | −3041.44 | −0.328414 | ||||||||
\(442\) | 947.700i | 0.101985i | ||||||||
\(443\) | − | 5777.93i | − | 0.619679i | −0.950789 | − | 0.309839i | \(-0.899725\pi\) | ||
0.950789 | − | 0.309839i | \(-0.100275\pi\) | |||||||
\(444\) | 1572.00 | 0.168027 | ||||||||
\(445\) | −3122.95 | + | 4649.37i | −0.332679 | + | 0.495284i | ||||
\(446\) | 6041.62 | 0.641432 | ||||||||
\(447\) | 4368.61i | 0.462255i | ||||||||
\(448\) | − | 143.996i | − | 0.0151856i | ||||||
\(449\) | 5492.87 | 0.577337 | 0.288669 | − | 0.957429i | \(-0.406787\pi\) | ||||
0.288669 | + | 0.957429i | \(0.406787\pi\) | |||||||
\(450\) | −2082.88 | + | 850.941i | −0.218196 | + | 0.0891417i | ||||
\(451\) | −5257.11 | −0.548886 | ||||||||
\(452\) | 6845.54i | 0.712360i | ||||||||
\(453\) | 5707.37i | 0.591955i | ||||||||
\(454\) | −3019.40 | −0.312131 | ||||||||
\(455\) | −139.689 | + | 207.965i | −0.0143928 | + | 0.0214276i | ||||
\(456\) | −604.256 | −0.0620545 | ||||||||
\(457\) | 15965.8i | 1.63424i | 0.576469 | + | 0.817119i | \(0.304430\pi\) | ||||
−0.576469 | + | 0.817119i | \(0.695570\pi\) | |||||||
\(458\) | − | 9875.61i | − | 1.00755i | ||||||
\(459\) | −1284.64 | −0.130635 | ||||||||
\(460\) | 7620.10 | + | 5118.37i | 0.772367 | + | 0.518794i | ||||
\(461\) | −2081.38 | −0.210281 | −0.105141 | − | 0.994457i | \(-0.533529\pi\) | ||||
−0.105141 | + | 0.994457i | \(0.533529\pi\) | |||||||
\(462\) | 147.003i | 0.0148035i | ||||||||
\(463\) | 297.022i | 0.0298138i | 0.999889 | + | 0.0149069i | \(0.00474518\pi\) | ||||
−0.999889 | + | 0.0149069i | \(0.995255\pi\) | |||||||
\(464\) | 1578.61 | 0.157943 | ||||||||
\(465\) | −863.135 | − | 579.762i | −0.0860794 | − | 0.0578190i | ||||
\(466\) | −12111.4 | −1.20397 | ||||||||
\(467\) | 13958.1i | 1.38309i | 0.722334 | + | 0.691545i | \(0.243069\pi\) | ||||
−0.722334 | + | 0.691545i | \(0.756931\pi\) | |||||||
\(468\) | − | 358.532i | − | 0.0354127i | ||||||
\(469\) | 1597.07 | 0.157241 | ||||||||
\(470\) | −1933.66 | + | 2878.78i | −0.189772 | + | 0.282528i | ||||
\(471\) | −6524.28 | −0.638265 | ||||||||
\(472\) | 3593.01i | 0.350385i | ||||||||
\(473\) | 2987.88i | 0.290450i | ||||||||
\(474\) | −2348.44 | −0.227568 | ||||||||
\(475\) | −1190.25 | − | 2913.41i | −0.114973 | − | 0.281424i | ||||
\(476\) | 428.200 | 0.0412321 | ||||||||
\(477\) | 1846.79i | 0.177272i | ||||||||
\(478\) | 4056.46i | 0.388155i | ||||||||
\(479\) | 9196.23 | 0.877216 | 0.438608 | − | 0.898678i | \(-0.355472\pi\) | ||||
0.438608 | + | 0.898678i | \(0.355472\pi\) | |||||||
\(480\) | −598.464 | + | 890.978i | −0.0569084 | + | 0.0847237i | ||||
\(481\) | −1304.66 | −0.123674 | ||||||||
\(482\) | − | 3696.93i | − | 0.349358i | ||||||
\(483\) | 1385.47i | 0.130520i | ||||||||
\(484\) | 4849.68 | 0.455455 | ||||||||
\(485\) | −3881.59 | − | 2607.24i | −0.363410 | − | 0.244100i | ||||
\(486\) | 486.000 | 0.0453609 | ||||||||
\(487\) | − | 19063.6i | − | 1.77383i | −0.461936 | − | 0.886913i | \(-0.652845\pi\) | ||
0.461936 | − | 0.886913i | \(-0.347155\pi\) | |||||||
\(488\) | 3219.38i | 0.298636i | ||||||||
\(489\) | 861.832 | 0.0797002 | ||||||||
\(490\) | −6272.81 | − | 4213.41i | −0.578320 | − | 0.388454i | ||||
\(491\) | −13964.5 | −1.28352 | −0.641760 | − | 0.766906i | \(-0.721795\pi\) | ||||
−0.641760 | + | 0.766906i | \(0.721795\pi\) | |||||||
\(492\) | − | 5793.25i | − | 0.530853i | ||||||
\(493\) | 4694.31i | 0.428846i | ||||||||
\(494\) | 501.492 | 0.0456745 | ||||||||
\(495\) | 610.963 | − | 909.586i | 0.0554762 | − | 0.0825916i | ||||
\(496\) | −496.000 | −0.0449013 | ||||||||
\(497\) | 207.990i | 0.0187719i | ||||||||
\(498\) | 5616.68i | 0.505400i | ||||||||
\(499\) | 9699.36 | 0.870146 | 0.435073 | − | 0.900395i | \(-0.356723\pi\) | ||||
0.435073 | + | 0.900395i | \(0.356723\pi\) | |||||||
\(500\) | −5474.67 | − | 1130.46i | −0.489670 | − | 0.101112i | ||||
\(501\) | −2188.97 | −0.195202 | ||||||||
\(502\) | 8982.37i | 0.798611i | ||||||||
\(503\) | 2300.90i | 0.203960i | 0.994786 | + | 0.101980i | \(0.0325178\pi\) | ||||
−0.994786 | + | 0.101980i | \(0.967482\pi\) | |||||||
\(504\) | −161.995 | −0.0143172 | ||||||||
\(505\) | 1831.36 | − | 2726.49i | 0.161375 | − | 0.240252i | ||||
\(506\) | −4470.34 | −0.392749 | ||||||||
\(507\) | − | 6293.44i | − | 0.551285i | ||||||
\(508\) | 1018.68i | 0.0889698i | ||||||||
\(509\) | 4600.37 | 0.400605 | 0.200302 | − | 0.979734i | \(-0.435808\pi\) | ||||
0.200302 | + | 0.979734i | \(0.435808\pi\) | |||||||
\(510\) | −2649.49 | − | 1779.65i | −0.230042 | − | 0.154518i | ||||
\(511\) | 466.148 | 0.0403546 | ||||||||
\(512\) | 512.000i | 0.0441942i | ||||||||
\(513\) | 679.788i | 0.0585056i | ||||||||
\(514\) | 14610.1 | 1.25375 | ||||||||
\(515\) | 17666.5 | + | 11866.5i | 1.51161 | + | 1.01534i | ||||
\(516\) | −3292.60 | −0.280908 | ||||||||
\(517\) | − | 1688.84i | − | 0.143666i | ||||||
\(518\) | 589.483i | 0.0500008i | ||||||||
\(519\) | −1856.96 | −0.157055 | ||||||||
\(520\) | 496.686 | − | 739.453i | 0.0418867 | − | 0.0623599i | ||||
\(521\) | −21170.9 | −1.78025 | −0.890127 | − | 0.455712i | \(-0.849385\pi\) | ||||
−0.890127 | + | 0.455712i | \(0.849385\pi\) | |||||||
\(522\) | − | 1775.94i | − | 0.148910i | ||||||
\(523\) | − | 11372.5i | − | 0.950834i | −0.879761 | − | 0.475417i | \(-0.842297\pi\) | ||
0.879761 | − | 0.475417i | \(-0.157703\pi\) | |||||||
\(524\) | 10253.6 | 0.854833 | ||||||||
\(525\) | −319.094 | − | 781.059i | −0.0265265 | − | 0.0649299i | ||||
\(526\) | 182.407 | 0.0151204 | ||||||||
\(527\) | − | 1474.95i | − | 0.121916i | ||||||
\(528\) | − | 522.693i | − | 0.0430820i | ||||||
\(529\) | −29964.8 | −2.46279 | ||||||||
\(530\) | −2558.42 | + | 3808.90i | −0.209680 | + | 0.312166i | ||||
\(531\) | 4042.14 | 0.330346 | ||||||||
\(532\) | − | 226.590i | − | 0.0184660i | ||||||
\(533\) | 4808.02i | 0.390728i | ||||||||
\(534\) | 3005.73 | 0.243578 | ||||||||
\(535\) | 14087.5 | + | 9462.48i | 1.13842 | + | 0.764670i | ||||
\(536\) | −5678.64 | −0.457612 | ||||||||
\(537\) | 5026.02i | 0.403890i | ||||||||
\(538\) | 12107.2i | 0.970221i | ||||||||
\(539\) | 3679.95 | 0.294076 | ||||||||
\(540\) | 1002.35 | + | 673.272i | 0.0798783 | + | 0.0536537i | ||||
\(541\) | −11362.4 | −0.902971 | −0.451485 | − | 0.892279i | \(-0.649106\pi\) | ||||
−0.451485 | + | 0.892279i | \(0.649106\pi\) | |||||||
\(542\) | − | 15478.6i | − | 1.22669i | ||||||
\(543\) | 3177.57i | 0.251128i | ||||||||
\(544\) | −1522.53 | −0.119996 | ||||||||
\(545\) | 11689.7 | − | 17403.3i | 0.918771 | − | 1.36784i | ||||
\(546\) | 134.446 | 0.0105380 | ||||||||
\(547\) | − | 15087.7i | − | 1.17934i | −0.807643 | − | 0.589672i | \(-0.799257\pi\) | ||
0.807643 | − | 0.589672i | \(-0.200743\pi\) | |||||||
\(548\) | − | 4536.93i | − | 0.353664i | ||||||
\(549\) | 3621.80 | 0.281557 | ||||||||
\(550\) | 2520.16 | − | 1029.59i | 0.195382 | − | 0.0798213i | ||||
\(551\) | 2484.08 | 0.192061 | ||||||||
\(552\) | − | 4926.25i | − | 0.379846i | ||||||
\(553\) | − | 880.640i | − | 0.0677190i | ||||||
\(554\) | 7147.71 | 0.548153 | ||||||||
\(555\) | 2449.96 | − | 3647.44i | 0.187379 | − | 0.278964i | ||||
\(556\) | 9958.84 | 0.759620 | ||||||||
\(557\) | − | 14350.8i | − | 1.09167i | −0.837891 | − | 0.545837i | \(-0.816212\pi\) | ||
0.837891 | − | 0.545837i | \(-0.183788\pi\) | |||||||
\(558\) | 558.000i | 0.0423334i | ||||||||
\(559\) | 2732.64 | 0.206759 | ||||||||
\(560\) | −334.107 | − | 224.418i | −0.0252118 | − | 0.0169346i | ||||
\(561\) | 1554.33 | 0.116977 | ||||||||
\(562\) | 4183.64i | 0.314014i | ||||||||
\(563\) | 4772.13i | 0.357232i | 0.983919 | + | 0.178616i | \(0.0571619\pi\) | ||||
−0.983919 | + | 0.178616i | \(0.942838\pi\) | |||||||
\(564\) | 1861.08 | 0.138946 | ||||||||
\(565\) | 15883.4 | + | 10668.8i | 1.18269 | + | 0.794404i | ||||
\(566\) | 5109.97 | 0.379484 | ||||||||
\(567\) | 182.245i | 0.0134983i | ||||||||
\(568\) | − | 739.542i | − | 0.0546312i | ||||||
\(569\) | −21931.0 | −1.61581 | −0.807906 | − | 0.589311i | \(-0.799399\pi\) | ||||
−0.807906 | + | 0.589311i | \(0.799399\pi\) | |||||||
\(570\) | −941.732 | + | 1402.03i | −0.0692015 | + | 0.103025i | ||||
\(571\) | 12783.4 | 0.936897 | 0.468449 | − | 0.883491i | \(-0.344813\pi\) | ||||
0.468449 | + | 0.883491i | \(0.344813\pi\) | |||||||
\(572\) | 433.801i | 0.0317100i | ||||||||
\(573\) | − | 8124.90i | − | 0.592360i | ||||||
\(574\) | 2172.41 | 0.157970 | ||||||||
\(575\) | 23751.8 | − | 9703.58i | 1.72264 | − | 0.703769i | ||||
\(576\) | 576.000 | 0.0416667 | ||||||||
\(577\) | − | 17598.4i | − | 1.26973i | −0.772625 | − | 0.634863i | \(-0.781056\pi\) | ||
0.772625 | − | 0.634863i | \(-0.218944\pi\) | |||||||
\(578\) | 5298.46i | 0.381292i | ||||||||
\(579\) | 4396.09 | 0.315536 | ||||||||
\(580\) | 2460.27 | − | 3662.79i | 0.176133 | − | 0.262222i | ||||
\(581\) | −2106.19 | −0.150395 | ||||||||
\(582\) | 2509.37i | 0.178723i | ||||||||
\(583\) | − | 2234.50i | − | 0.158737i | ||||||
\(584\) | −1657.46 | −0.117442 | ||||||||
\(585\) | −831.884 | − | 558.771i | −0.0587935 | − | 0.0394912i | ||||
\(586\) | −7148.13 | −0.503902 | ||||||||
\(587\) | − | 7068.88i | − | 0.497042i | −0.968626 | − | 0.248521i | \(-0.920055\pi\) | ||
0.968626 | − | 0.248521i | \(-0.0799446\pi\) | |||||||
\(588\) | 4055.25i | 0.284415i | ||||||||
\(589\) | −780.497 | −0.0546007 | ||||||||
\(590\) | 8336.70 | + | 5599.71i | 0.581723 | + | 0.390739i | ||||
\(591\) | 5449.31 | 0.379280 | ||||||||
\(592\) | − | 2096.00i | − | 0.145515i | ||||||
\(593\) | − | 22007.7i | − | 1.52402i | −0.647563 | − | 0.762012i | \(-0.724212\pi\) | ||
0.647563 | − | 0.762012i | \(-0.275788\pi\) | |||||||
\(594\) | −588.030 | −0.0406181 | ||||||||
\(595\) | 667.349 | − | 993.532i | 0.0459809 | − | 0.0684552i | ||||
\(596\) | 5824.81 | 0.400324 | ||||||||
\(597\) | − | 3834.37i | − | 0.262865i | ||||||
\(598\) | 4088.46i | 0.279581i | ||||||||
\(599\) | −11236.2 | −0.766444 | −0.383222 | − | 0.923656i | \(-0.625186\pi\) | ||||
−0.383222 | + | 0.923656i | \(0.625186\pi\) | |||||||
\(600\) | 1134.59 | + | 2777.18i | 0.0771990 | + | 0.188963i | ||||
\(601\) | 15445.9 | 1.04834 | 0.524168 | − | 0.851615i | \(-0.324376\pi\) | ||||
0.524168 | + | 0.851615i | \(0.324376\pi\) | |||||||
\(602\) | − | 1234.69i | − | 0.0835917i | ||||||
\(603\) | 6388.47i | 0.431440i | ||||||||
\(604\) | 7609.83 | 0.512648 | ||||||||
\(605\) | 7558.22 | − | 11252.5i | 0.507910 | − | 0.756163i | ||||
\(606\) | −1762.62 | −0.118154 | ||||||||
\(607\) | 22777.7i | 1.52309i | 0.648111 | + | 0.761546i | \(0.275559\pi\) | ||||
−0.648111 | + | 0.761546i | \(0.724441\pi\) | |||||||
\(608\) | 805.674i | 0.0537408i | ||||||||
\(609\) | 665.959 | 0.0443120 | ||||||||
\(610\) | 7469.77 | + | 5017.40i | 0.495807 | + | 0.333030i | ||||
\(611\) | −1544.57 | −0.102269 | ||||||||
\(612\) | 1712.85i | 0.113134i | ||||||||
\(613\) | 5876.19i | 0.387173i | 0.981083 | + | 0.193587i | \(0.0620120\pi\) | ||||
−0.981083 | + | 0.193587i | \(0.937988\pi\) | |||||||
\(614\) | −2544.74 | −0.167260 | ||||||||
\(615\) | −13441.8 | − | 9028.78i | −0.881343 | − | 0.591993i | ||||
\(616\) | 196.004 | 0.0128202 | ||||||||
\(617\) | 8356.68i | 0.545263i | 0.962119 | + | 0.272631i | \(0.0878940\pi\) | ||||
−0.962119 | + | 0.272631i | \(0.912106\pi\) | |||||||
\(618\) | − | 11421.0i | − | 0.743400i | ||||||
\(619\) | −2054.93 | −0.133433 | −0.0667163 | − | 0.997772i | \(-0.521252\pi\) | ||||
−0.0667163 | + | 0.997772i | \(0.521252\pi\) | |||||||
\(620\) | −773.016 | + | 1150.85i | −0.0500727 | + | 0.0745469i | ||||
\(621\) | −5542.03 | −0.358122 | ||||||||
\(622\) | − | 422.008i | − | 0.0272042i | ||||||
\(623\) | 1127.12i | 0.0724831i | ||||||||
\(624\) | −478.042 | −0.0306683 | ||||||||
\(625\) | −11155.2 | + | 10940.8i | −0.713935 | + | 0.700212i | ||||
\(626\) | −15486.2 | −0.988746 | ||||||||
\(627\) | − | 822.501i | − | 0.0523884i | ||||||
\(628\) | 8699.04i | 0.552754i | ||||||||
\(629\) | 6232.86 | 0.395104 | ||||||||
\(630\) | −252.470 | + | 375.871i | −0.0159661 | + | 0.0237699i | ||||
\(631\) | −15517.2 | −0.978972 | −0.489486 | − | 0.872011i | \(-0.662816\pi\) | ||||
−0.489486 | + | 0.872011i | \(0.662816\pi\) | |||||||
\(632\) | 3131.25i | 0.197080i | ||||||||
\(633\) | − | 5907.46i | − | 0.370933i | ||||||
\(634\) | 11109.0 | 0.695890 | ||||||||
\(635\) | 2363.60 | + | 1587.61i | 0.147711 | + | 0.0992166i | ||||
\(636\) | 2462.38 | 0.153522 | ||||||||
\(637\) | − | 3365.59i | − | 0.209340i | ||||||
\(638\) | 2148.78i | 0.133340i | ||||||||
\(639\) | −831.985 | −0.0515068 | ||||||||
\(640\) | 1187.97 | + | 797.952i | 0.0733729 | + | 0.0492841i | ||||
\(641\) | 21451.8 | 1.32183 | 0.660917 | − | 0.750459i | \(-0.270167\pi\) | ||||
0.660917 | + | 0.750459i | \(0.270167\pi\) | |||||||
\(642\) | − | 9107.29i | − | 0.559869i | ||||||
\(643\) | − | 29219.0i | − | 1.79204i | −0.444012 | − | 0.896021i | \(-0.646445\pi\) | ||
0.444012 | − | 0.896021i | \(-0.353555\pi\) | |||||||
\(644\) | 1847.29 | 0.113033 | ||||||||
\(645\) | −5131.51 | + | 7639.67i | −0.313261 | + | 0.466374i | ||||
\(646\) | −2395.83 | −0.145917 | ||||||||
\(647\) | − | 17654.3i | − | 1.07274i | −0.843982 | − | 0.536371i | \(-0.819795\pi\) | ||
0.843982 | − | 0.536371i | \(-0.180205\pi\) | |||||||
\(648\) | − | 648.000i | − | 0.0392837i | ||||||
\(649\) | −4890.74 | −0.295806 | ||||||||
\(650\) | −941.634 | − | 2304.87i | −0.0568214 | − | 0.139084i | ||||
\(651\) | −209.244 | −0.0125974 | ||||||||
\(652\) | − | 1149.11i | − | 0.0690224i | ||||||
\(653\) | 5833.34i | 0.349581i | 0.984606 | + | 0.174790i | \(0.0559248\pi\) | ||||
−0.984606 | + | 0.174790i | \(0.944075\pi\) | |||||||
\(654\) | −11250.9 | −0.672698 | ||||||||
\(655\) | 15980.3 | − | 23791.1i | 0.953286 | − | 1.41923i | ||||
\(656\) | −7724.33 | −0.459733 | ||||||||
\(657\) | 1864.65i | 0.110726i | ||||||||
\(658\) | 697.883i | 0.0413470i | ||||||||
\(659\) | 16793.6 | 0.992697 | 0.496349 | − | 0.868123i | \(-0.334674\pi\) | ||||
0.496349 | + | 0.868123i | \(0.334674\pi\) | |||||||
\(660\) | −1212.78 | − | 814.617i | −0.0715264 | − | 0.0480438i | ||||
\(661\) | −28701.3 | −1.68888 | −0.844442 | − | 0.535647i | \(-0.820068\pi\) | ||||
−0.844442 | + | 0.535647i | \(0.820068\pi\) | |||||||
\(662\) | − | 7369.59i | − | 0.432670i | ||||||
\(663\) | − | 1421.55i | − | 0.0832706i | ||||||
\(664\) | 7488.90 | 0.437689 | ||||||||
\(665\) | −525.745 | − | 353.140i | −0.0306579 | − | 0.0205927i | ||||
\(666\) | −2358.00 | −0.137193 | ||||||||
\(667\) | 20251.7i | 1.17563i | ||||||||
\(668\) | 2918.63i | 0.169050i | ||||||||
\(669\) | −9062.42 | −0.523727 | ||||||||
\(670\) | −8850.16 | + | 13175.9i | −0.510315 | + | 0.759745i | ||||
\(671\) | −4382.15 | −0.252118 | ||||||||
\(672\) | 215.994i | 0.0123990i | ||||||||
\(673\) | − | 24650.9i | − | 1.41192i | −0.708251 | − | 0.705961i | \(-0.750515\pi\) | ||
0.708251 | − | 0.705961i | \(-0.249485\pi\) | |||||||
\(674\) | −16599.7 | −0.948661 | ||||||||
\(675\) | 3124.32 | − | 1276.41i | 0.178156 | − | 0.0727839i | ||||
\(676\) | −8391.26 | −0.477427 | ||||||||
\(677\) | 30639.7i | 1.73941i | 0.493575 | + | 0.869703i | \(0.335690\pi\) | ||||
−0.493575 | + | 0.869703i | \(0.664310\pi\) | |||||||
\(678\) | − | 10268.3i | − | 0.581640i | ||||||
\(679\) | −940.988 | −0.0531838 | ||||||||
\(680\) | −2372.86 | + | 3532.66i | −0.133816 | + | 0.199222i | ||||
\(681\) | 4529.11 | 0.254854 | ||||||||
\(682\) | − | 675.145i | − | 0.0379071i | ||||||
\(683\) | 18339.0i | 1.02741i | 0.857966 | + | 0.513706i | \(0.171728\pi\) | ||||
−0.857966 | + | 0.513706i | \(0.828272\pi\) | |||||||
\(684\) | 906.384 | 0.0506673 | ||||||||
\(685\) | −10526.8 | − | 7070.80i | −0.587167 | − | 0.394396i | ||||
\(686\) | −3064.13 | −0.170538 | ||||||||
\(687\) | 14813.4i | 0.822660i | ||||||||
\(688\) | 4390.13i | 0.243274i | ||||||||
\(689\) | −2043.62 | −0.112998 | ||||||||
\(690\) | −11430.1 | − | 7677.55i | −0.630635 | − | 0.423593i | ||||
\(691\) | 17528.7 | 0.965014 | 0.482507 | − | 0.875892i | \(-0.339726\pi\) | ||||
0.482507 | + | 0.875892i | \(0.339726\pi\) | |||||||
\(692\) | 2475.95i | 0.136014i | ||||||||
\(693\) | − | 220.505i | − | 0.0120870i | ||||||
\(694\) | 1525.29 | 0.0834283 | ||||||||
\(695\) | 15520.8 | − | 23107.0i | 0.847107 | − | 1.26115i | ||||
\(696\) | −2367.92 | −0.128960 | ||||||||
\(697\) | − | 22969.8i | − | 1.24827i | ||||||
\(698\) | − | 5883.22i | − | 0.319030i | ||||||
\(699\) | 18167.1 | 0.983038 | ||||||||
\(700\) | −1041.41 | + | 425.459i | −0.0562309 | + | 0.0229726i | ||||
\(701\) | −12315.1 | −0.663531 | −0.331766 | − | 0.943362i | \(-0.607644\pi\) | ||||
−0.331766 | + | 0.943362i | \(0.607644\pi\) | |||||||
\(702\) | 537.797i | 0.0289143i | ||||||||
\(703\) | − | 3298.23i | − | 0.176949i | ||||||
\(704\) | −696.924 | −0.0373101 | ||||||||
\(705\) | 2900.49 | − | 4318.17i | 0.154948 | − | 0.230683i | ||||
\(706\) | −1630.59 | −0.0869237 | ||||||||
\(707\) | − | 660.964i | − | 0.0351600i | ||||||
\(708\) | − | 5389.52i | − | 0.286088i | ||||||
\(709\) | 25804.0 | 1.36684 | 0.683419 | − | 0.730026i | \(-0.260492\pi\) | ||||
0.683419 | + | 0.730026i | \(0.260492\pi\) | |||||||
\(710\) | −1715.93 | − | 1152.58i | −0.0907008 | − | 0.0609231i | ||||
\(711\) | 3522.66 | 0.185809 | ||||||||
\(712\) | − | 4007.64i | − | 0.210945i | ||||||
\(713\) | − | 6363.07i | − | 0.334220i | ||||||
\(714\) | −642.299 | −0.0336659 | ||||||||
\(715\) | 1006.53 | + | 676.079i | 0.0526462 | + | 0.0353621i | ||||
\(716\) | 6701.36 | 0.349779 | ||||||||
\(717\) | − | 6084.69i | − | 0.316928i | ||||||
\(718\) | − | 17158.0i | − | 0.891827i | ||||||
\(719\) | 7816.03 | 0.405408 | 0.202704 | − | 0.979240i | \(-0.435027\pi\) | ||||
0.202704 | + | 0.979240i | \(0.435027\pi\) | |||||||
\(720\) | 897.696 | − | 1336.47i | 0.0464655 | − | 0.0691766i | ||||
\(721\) | 4282.77 | 0.221219 | ||||||||
\(722\) | − | 12450.2i | − | 0.641757i | ||||||
\(723\) | 5545.40i | 0.285250i | ||||||||
\(724\) | 4236.76 | 0.217483 | ||||||||
\(725\) | −4664.27 | − | 11416.9i | −0.238933 | − | 0.584846i | ||||
\(726\) | −7274.52 | −0.371877 | ||||||||
\(727\) | 31359.8i | 1.59982i | 0.600120 | + | 0.799910i | \(0.295119\pi\) | ||||
−0.600120 | + | 0.799910i | \(0.704881\pi\) | |||||||
\(728\) | − | 179.261i | − | 0.00912616i | ||||||
\(729\) | −729.000 | −0.0370370 | ||||||||
\(730\) | −2583.15 | + | 3845.73i | −0.130968 | + | 0.194982i | ||||
\(731\) | −13054.9 | −0.660538 | ||||||||
\(732\) | − | 4829.07i | − | 0.243835i | ||||||
\(733\) | − | 17990.0i | − | 0.906516i | −0.891379 | − | 0.453258i | \(-0.850262\pi\) | ||
0.891379 | − | 0.453258i | \(-0.149738\pi\) | |||||||
\(734\) | −22638.8 | −1.13844 | ||||||||
\(735\) | 9409.22 | + | 6320.11i | 0.472196 | + | 0.317171i | ||||
\(736\) | −6568.33 | −0.328956 | ||||||||
\(737\) | − | 7729.65i | − | 0.386330i | ||||||
\(738\) | 8689.88i | 0.433440i | ||||||||
\(739\) | 29472.2 | 1.46706 | 0.733528 | − | 0.679660i | \(-0.237873\pi\) | ||||
0.733528 | + | 0.679660i | \(0.237873\pi\) | |||||||
\(740\) | −4863.25 | − | 3266.62i | −0.241590 | − | 0.162275i | ||||
\(741\) | −752.239 | −0.0372931 | ||||||||
\(742\) | 923.368i | 0.0456845i | ||||||||
\(743\) | − | 12651.6i | − | 0.624687i | −0.949969 | − | 0.312343i | \(-0.898886\pi\) | ||
0.949969 | − | 0.312343i | \(-0.101114\pi\) | |||||||
\(744\) | 744.000 | 0.0366618 | ||||||||
\(745\) | 9077.96 | − | 13515.0i | 0.446430 | − | 0.664634i | ||||
\(746\) | −9843.85 | −0.483122 | ||||||||
\(747\) | − | 8425.02i | − | 0.412658i | ||||||
\(748\) | − | 2072.44i | − | 0.101305i | ||||||
\(749\) | 3415.14 | 0.166604 | ||||||||
\(750\) | 8212.01 | + | 1695.69i | 0.399814 | + | 0.0825574i | ||||
\(751\) | −19116.4 | −0.928850 | −0.464425 | − | 0.885613i | \(-0.653739\pi\) | ||||
−0.464425 | + | 0.885613i | \(0.653739\pi\) | |||||||
\(752\) | − | 2481.43i | − | 0.120331i | ||||||
\(753\) | − | 13473.6i | − | 0.652063i | ||||||
\(754\) | 1965.22 | 0.0949192 | ||||||||
\(755\) | 11859.9 | − | 17656.7i | 0.571691 | − | 0.851118i | ||||
\(756\) | 242.993 | 0.0116899 | ||||||||
\(757\) | 29764.7i | 1.42908i | 0.699594 | + | 0.714541i | \(0.253364\pi\) | ||||
−0.699594 | + | 0.714541i | \(0.746636\pi\) | |||||||
\(758\) | 12722.5i | 0.609632i | ||||||||
\(759\) | 6705.51 | 0.320678 | ||||||||
\(760\) | 1869.37 | + | 1255.64i | 0.0892226 | + | 0.0599302i | ||||
\(761\) | −17484.0 | −0.832845 | −0.416422 | − | 0.909171i | \(-0.636716\pi\) | ||||
−0.416422 | + | 0.909171i | \(0.636716\pi\) | |||||||
\(762\) | − | 1528.02i | − | 0.0726435i | ||||||
\(763\) | − | 4218.96i | − | 0.200179i | ||||||
\(764\) | −10833.2 | −0.512999 | ||||||||
\(765\) | 3974.24 | + | 2669.47i | 0.187829 | + | 0.126163i | ||||
\(766\) | −12095.7 | −0.570544 | ||||||||
\(767\) | 4472.94i | 0.210572i | ||||||||
\(768\) | − | 768.000i | − | 0.0360844i | ||||||
\(769\) | −11594.0 | −0.543681 | −0.271841 | − | 0.962342i | \(-0.587632\pi\) | ||||
−0.271841 | + | 0.962342i | \(0.587632\pi\) | |||||||
\(770\) | 305.473 | − | 454.780i | 0.0142967 | − | 0.0212846i | ||||
\(771\) | −21915.2 | −1.02368 | ||||||||
\(772\) | − | 5861.45i | − | 0.273262i | ||||||
\(773\) | − | 35985.8i | − | 1.67441i | −0.546888 | − | 0.837206i | \(-0.684188\pi\) | ||
0.546888 | − | 0.837206i | \(-0.315812\pi\) | |||||||
\(774\) | 4938.90 | 0.229360 | ||||||||
\(775\) | 1465.51 | + | 3587.19i | 0.0679260 | + | 0.166265i | ||||
\(776\) | 3345.83 | 0.154779 | ||||||||
\(777\) | − | 884.225i | − | 0.0408255i | ||||||
\(778\) | 12288.8i | 0.566294i | ||||||||
\(779\) | −12154.9 | −0.559042 | ||||||||
\(780\) | −745.028 | + | 1109.18i | −0.0342004 | + | 0.0509166i | ||||
\(781\) | 1006.65 | 0.0461214 | ||||||||
\(782\) | − | 19532.2i | − | 0.893184i | ||||||
\(783\) | 2663.91i | 0.121584i | ||||||||
\(784\) | 5407.00 | 0.246310 | ||||||||
\(785\) | 20184.0 | + | 13557.4i | 0.917703 | + | 0.616415i | ||||
\(786\) | −15380.5 | −0.697968 | ||||||||
\(787\) | 18812.4i | 0.852084i | 0.904704 | + | 0.426042i | \(0.140092\pi\) | ||||
−0.904704 | + | 0.426042i | \(0.859908\pi\) | |||||||
\(788\) | − | 7265.74i | − | 0.328466i | ||||||
\(789\) | −273.611 | −0.0123458 | ||||||||
\(790\) | 7265.30 | + | 4880.06i | 0.327200 | + | 0.219778i | ||||
\(791\) | 3850.50 | 0.173082 | ||||||||
\(792\) | 784.040i | 0.0351763i | ||||||||
\(793\) | 4007.81i | 0.179472i | ||||||||
\(794\) | −14808.0 | −0.661861 | ||||||||
\(795\) | 3837.62 | − | 5713.36i | 0.171203 | − | 0.254883i | ||||
\(796\) | −5112.49 | −0.227648 | ||||||||
\(797\) | − | 7366.19i | − | 0.327383i | −0.986512 | − | 0.163691i | \(-0.947660\pi\) | ||
0.986512 | − | 0.163691i | \(-0.0523401\pi\) | |||||||
\(798\) | 339.884i | 0.0150774i | ||||||||
\(799\) | 7379.02 | 0.326722 | ||||||||
\(800\) | 3702.90 | − | 1512.78i | 0.163647 | − | 0.0668563i | ||||
\(801\) | −4508.60 | −0.198881 | ||||||||
\(802\) | 18595.8i | 0.818752i | ||||||||
\(803\) | − | 2256.11i | − | 0.0991485i | ||||||
\(804\) | 8517.96 | 0.373638 | ||||||||
\(805\) | 2879.00 | − | 4286.18i | 0.126051 | − | 0.187662i | ||||
\(806\) | −617.471 | −0.0269845 | ||||||||
\(807\) | − | 18160.8i | − | 0.792182i | ||||||
\(808\) | 2350.16i | 0.102325i | ||||||||
\(809\) | −23990.8 | −1.04261 | −0.521304 | − | 0.853371i | \(-0.674554\pi\) | ||||
−0.521304 | + | 0.853371i | \(0.674554\pi\) | |||||||
\(810\) | −1503.52 | − | 1009.91i | −0.0652203 | − | 0.0438081i | ||||
\(811\) | −15345.3 | −0.664420 | −0.332210 | − | 0.943205i | \(-0.607794\pi\) | ||||
−0.332210 | + | 0.943205i | \(0.607794\pi\) | |||||||
\(812\) | − | 887.945i | − | 0.0383753i | ||||||
\(813\) | 23218.0i | 1.00159i | ||||||||
\(814\) | 2853.03 | 0.122849 | ||||||||
\(815\) | −2666.23 | − | 1790.89i | −0.114594 | − | 0.0769718i | ||||
\(816\) | 2283.80 | 0.0979765 | ||||||||
\(817\) | 6908.24i | 0.295824i | ||||||||
\(818\) | − | 3518.17i | − | 0.150379i | ||||||
\(819\) | −201.668 | −0.00860422 | ||||||||
\(820\) | −12038.4 | + | 17922.4i | −0.512681 | + | 0.763266i | ||||
\(821\) | −14196.0 | −0.603464 | −0.301732 | − | 0.953393i | \(-0.597565\pi\) | ||||
−0.301732 | + | 0.953393i | \(0.597565\pi\) | |||||||
\(822\) | 6805.39i | 0.288766i | ||||||||
\(823\) | − | 27097.9i | − | 1.14772i | −0.818953 | − | 0.573860i | \(-0.805445\pi\) | ||
0.818953 | − | 0.573860i | \(-0.194555\pi\) | |||||||
\(824\) | −15228.0 | −0.643804 | ||||||||
\(825\) | −3780.24 | + | 1544.38i | −0.159528 | + | 0.0651738i | ||||
\(826\) | 2021.01 | 0.0851332 | ||||||||
\(827\) | 11753.8i | 0.494219i | 0.968988 | + | 0.247110i | \(0.0794808\pi\) | ||||
−0.968988 | + | 0.247110i | \(0.920519\pi\) | |||||||
\(828\) | 7389.37i | 0.310143i | ||||||||
\(829\) | 14701.0 | 0.615909 | 0.307954 | − | 0.951401i | \(-0.400356\pi\) | ||||
0.307954 | + | 0.951401i | \(0.400356\pi\) | |||||||
\(830\) | 11671.5 | − | 17376.2i | 0.488099 | − | 0.726669i | ||||
\(831\) | −10721.6 | −0.447565 | ||||||||
\(832\) | 637.389i | 0.0265595i | ||||||||
\(833\) | 16078.8i | 0.668783i | ||||||||
\(834\) | −14938.3 | −0.620227 | ||||||||
\(835\) | 6771.96 | + | 4548.68i | 0.280663 | + | 0.188519i | ||||
\(836\) | −1096.67 | −0.0453697 | ||||||||
\(837\) | − | 837.000i | − | 0.0345651i | ||||||
\(838\) | − | 5120.65i | − | 0.211086i | ||||||
\(839\) | 27540.0 | 1.13324 | 0.566619 | − | 0.823980i | \(-0.308251\pi\) | ||||
0.566619 | + | 0.823980i | \(0.308251\pi\) | |||||||
\(840\) | 501.161 | + | 336.626i | 0.0205853 | + | 0.0138270i | ||||
\(841\) | −14654.5 | −0.600866 | ||||||||
\(842\) | − | 1042.12i | − | 0.0426530i | ||||||
\(843\) | − | 6275.45i | − | 0.256392i | ||||||
\(844\) | −7876.61 | −0.321237 | ||||||||
\(845\) | −13077.8 | + | 19469.8i | −0.532413 | + | 0.792643i | ||||
\(846\) | −2791.61 | −0.113449 | ||||||||
\(847\) | − | 2727.87i | − | 0.110662i | ||||||
\(848\) | − | 3283.18i | − | 0.132954i | ||||||
\(849\) | −7664.96 | −0.309848 | ||||||||
\(850\) | 4498.56 | + | 11011.3i | 0.181528 | + | 0.444334i | ||||
\(851\) | 26889.1 | 1.08313 | ||||||||
\(852\) | 1109.31i | 0.0446062i | ||||||||
\(853\) | − | 21437.7i | − | 0.860509i | −0.902708 | − | 0.430254i | \(-0.858424\pi\) | ||
0.902708 | − | 0.430254i | \(-0.141576\pi\) | |||||||
\(854\) | 1810.85 | 0.0725597 | ||||||||
\(855\) | 1412.60 | − | 2103.04i | 0.0565028 | − | 0.0841198i | ||||
\(856\) | −12143.1 | −0.484861 | ||||||||
\(857\) | 36381.2i | 1.45013i | 0.688682 | + | 0.725063i | \(0.258189\pi\) | ||||
−0.688682 | + | 0.725063i | \(0.741811\pi\) | |||||||
\(858\) | − | 650.701i | − | 0.0258911i | ||||||
\(859\) | 28100.8 | 1.11616 | 0.558082 | − | 0.829786i | \(-0.311537\pi\) | ||||
0.558082 | + | 0.829786i | \(0.311537\pi\) | |||||||
\(860\) | 10186.2 | + | 6842.02i | 0.403892 | + | 0.271292i | ||||
\(861\) | −3258.61 | −0.128982 | ||||||||
\(862\) | 19816.1i | 0.782992i | ||||||||
\(863\) | − | 25051.6i | − | 0.988140i | −0.869422 | − | 0.494070i | \(-0.835509\pi\) | ||
0.869422 | − | 0.494070i | \(-0.164491\pi\) | |||||||
\(864\) | −864.000 | −0.0340207 | ||||||||
\(865\) | 5744.83 | + | 3858.77i | 0.225815 | + | 0.151679i | ||||
\(866\) | −13846.1 | −0.543315 | ||||||||
\(867\) | − | 7947.69i | − | 0.311324i | ||||||
\(868\) | 278.992i | 0.0109097i | ||||||||
\(869\) | −4262.20 | −0.166381 | ||||||||
\(870\) | −3690.41 | + | 5494.18i | −0.143812 | + | 0.214104i | ||||
\(871\) | −7069.34 | −0.275012 | ||||||||
\(872\) | 15001.2i | 0.582573i | ||||||||
\(873\) | − | 3764.06i | − | 0.145927i | ||||||
\(874\) | −10335.8 | −0.400016 | ||||||||
\(875\) | −635.868 | + | 3079.42i | −0.0245671 | + | 0.118975i | ||||
\(876\) | 2486.19 | 0.0958912 | ||||||||
\(877\) | 6588.69i | 0.253688i | 0.991923 | + | 0.126844i | \(0.0404847\pi\) | ||||
−0.991923 | + | 0.126844i | \(0.959515\pi\) | |||||||
\(878\) | − | 19357.9i | − | 0.744074i | ||||||
\(879\) | 10722.2 | 0.411434 | ||||||||
\(880\) | −1086.16 | + | 1617.04i | −0.0416072 | + | 0.0619437i | ||||
\(881\) | −1395.81 | −0.0533779 | −0.0266890 | − | 0.999644i | \(-0.508496\pi\) | ||||
−0.0266890 | + | 0.999644i | \(0.508496\pi\) | |||||||
\(882\) | − | 6082.88i | − | 0.232224i | ||||||
\(883\) | − | 9799.28i | − | 0.373468i | −0.982411 | − | 0.186734i | \(-0.940210\pi\) | ||
0.982411 | − | 0.186734i | \(-0.0597902\pi\) | |||||||
\(884\) | −1895.40 | −0.0721145 | ||||||||
\(885\) | −12505.0 | − | 8399.56i | −0.474975 | − | 0.319037i | ||||
\(886\) | 11555.9 | 0.438179 | ||||||||
\(887\) | − | 44139.7i | − | 1.67087i | −0.549586 | − | 0.835437i | \(-0.685215\pi\) | ||
0.549586 | − | 0.835437i | \(-0.314785\pi\) | |||||||
\(888\) | 3144.00i | 0.118813i | ||||||||
\(889\) | 572.992 | 0.0216170 | ||||||||
\(890\) | −9298.74 | − | 6245.91i | −0.350219 | − | 0.235240i | ||||
\(891\) | 882.045 | 0.0331645 | ||||||||
\(892\) | 12083.2i | 0.453561i | ||||||||
\(893\) | − | 3904.74i | − | 0.146324i | ||||||
\(894\) | −8737.21 | −0.326864 | ||||||||
\(895\) | 10444.1 | − | 15548.9i | 0.390064 | − | 0.580717i | ||||
\(896\) | 287.992 | 0.0107379 | ||||||||
\(897\) | − | 6132.69i | − | 0.228277i | ||||||
\(898\) | 10985.7i | 0.408239i | ||||||||
\(899\) | −3058.57 | −0.113469 | ||||||||
\(900\) | −1701.88 | − | 4165.76i | −0.0630327 | − | 0.154288i | ||||
\(901\) | 9763.16 | 0.360997 | ||||||||
\(902\) | − | 10514.2i | − | 0.388121i | ||||||
\(903\) | 1852.03i | 0.0682523i | ||||||||
\(904\) | −13691.1 | −0.503715 | ||||||||
\(905\) | 6602.99 | − | 9830.36i | 0.242531 | − | 0.361074i | ||||
\(906\) | −11414.7 | −0.418575 | ||||||||
\(907\) | − | 37360.8i | − | 1.36775i | −0.729601 | − | 0.683874i | \(-0.760294\pi\) | ||
0.729601 | − | 0.683874i | \(-0.239706\pi\) | |||||||
\(908\) | − | 6038.81i | − | 0.220710i | ||||||
\(909\) | 2643.93 | 0.0964727 | ||||||||
\(910\) | −415.930 | − | 279.378i | −0.0151516 | − | 0.0101772i | ||||
\(911\) | −47104.8 | −1.71312 | −0.856560 | − | 0.516048i | \(-0.827403\pi\) | ||||
−0.856560 | + | 0.516048i | \(0.827403\pi\) | |||||||
\(912\) | − | 1208.51i | − | 0.0438792i | ||||||
\(913\) | 10193.7i | 0.369511i | ||||||||
\(914\) | −31931.5 | −1.15558 | ||||||||
\(915\) | −11204.7 | − | 7526.10i | −0.404825 | − | 0.271918i | ||||
\(916\) | 19751.2 | 0.712444 | ||||||||
\(917\) | − | 5767.51i | − | 0.207699i | ||||||
\(918\) | − | 2569.27i | − | 0.0923732i | ||||||
\(919\) | 41188.0 | 1.47842 | 0.739210 | − | 0.673475i | \(-0.235199\pi\) | ||||
0.739210 | + | 0.673475i | \(0.235199\pi\) | |||||||
\(920\) | −10236.7 | + | 15240.2i | −0.366843 | + | 0.546146i | ||||
\(921\) | 3817.11 | 0.136567 | ||||||||
\(922\) | − | 4162.76i | − | 0.148691i | ||||||
\(923\) | − | 920.657i | − | 0.0328319i | ||||||
\(924\) | −294.007 | −0.0104676 | ||||||||
\(925\) | −15158.8 | + | 6192.96i | −0.538829 | + | 0.220133i | ||||
\(926\) | −594.044 | −0.0210815 | ||||||||
\(927\) | 17131.6i | 0.606984i | ||||||||
\(928\) | 3157.23i | 0.111682i | ||||||||
\(929\) | −1742.42 | −0.0615359 | −0.0307680 | − | 0.999527i | \(-0.509795\pi\) | ||||
−0.0307680 | + | 0.999527i | \(0.509795\pi\) | |||||||
\(930\) | 1159.52 | − | 1726.27i | 0.0408842 | − | 0.0608673i | ||||
\(931\) | 8508.37 | 0.299517 | ||||||||
\(932\) | − | 24222.8i | − | 0.851336i | ||||||
\(933\) | 633.012i | 0.0222121i | ||||||||
\(934\) | −27916.2 | −0.977992 | ||||||||
\(935\) | −4808.58 | − | 3229.89i | −0.168190 | − | 0.112972i | ||||
\(936\) | 717.063 | 0.0250405 | ||||||||
\(937\) | 36994.2i | 1.28981i | 0.764265 | + | 0.644903i | \(0.223102\pi\) | ||||
−0.764265 | + | 0.644903i | \(0.776898\pi\) | |||||||
\(938\) | 3194.14i | 0.111186i | ||||||||
\(939\) | 23229.4 | 0.807307 | ||||||||
\(940\) | −5757.56 | − | 3867.31i | −0.199777 | − | 0.134189i | ||||
\(941\) | −11226.0 | −0.388904 | −0.194452 | − | 0.980912i | \(-0.562293\pi\) | ||||
−0.194452 | + | 0.980912i | \(0.562293\pi\) | |||||||
\(942\) | − | 13048.6i | − | 0.451322i | ||||||
\(943\) | − | 99093.7i | − | 3.42199i | ||||||
\(944\) | −7186.02 | −0.247760 | ||||||||
\(945\) | 378.705 | − | 563.806i | 0.0130363 | − | 0.0194080i | ||||
\(946\) | −5975.76 | −0.205379 | ||||||||
\(947\) | 46538.4i | 1.59693i | 0.602040 | + | 0.798466i | \(0.294355\pi\) | ||||
−0.602040 | + | 0.798466i | \(0.705645\pi\) | |||||||
\(948\) | − | 4696.88i | − | 0.160915i | ||||||
\(949\) | −2063.38 | −0.0705796 | ||||||||
\(950\) | 5826.82 | − | 2380.49i | 0.198997 | − | 0.0812983i | ||||
\(951\) | −16663.5 | −0.568192 | ||||||||
\(952\) | 856.399i | 0.0291555i | ||||||||
\(953\) | 34396.9i | 1.16918i | 0.811330 | + | 0.584588i | \(0.198744\pi\) | ||||
−0.811330 | + | 0.584588i | \(0.801256\pi\) | |||||||
\(954\) | −3693.58 | −0.125350 | ||||||||
\(955\) | −16883.5 | + | 25135.8i | −0.572082 | + | 0.851701i | ||||
\(956\) | −8112.93 | −0.274467 | ||||||||
\(957\) | − | 3223.17i | − | 0.108872i | ||||||
\(958\) | 18392.5i | 0.620286i | ||||||||
\(959\) | −2551.95 | −0.0859299 | ||||||||
\(960\) | −1781.96 | − | 1196.93i | −0.0599087 | − | 0.0402403i | ||||
\(961\) | 961.000 | 0.0322581 | ||||||||
\(962\) | − | 2609.31i | − | 0.0874507i | ||||||
\(963\) | 13660.9i | 0.457131i | ||||||||
\(964\) | 7393.86 | 0.247033 | ||||||||
\(965\) | −13600.1 | − | 9135.07i | −0.453680 | − | 0.304734i | ||||
\(966\) | −2770.94 | −0.0922913 | ||||||||
\(967\) | − | 23605.6i | − | 0.785010i | −0.919750 | − | 0.392505i | \(-0.871609\pi\) | ||
0.919750 | − | 0.392505i | \(-0.128391\pi\) | |||||||
\(968\) | 9699.36i | 0.322055i | ||||||||
\(969\) | 3593.74 | 0.119141 | ||||||||
\(970\) | 5214.47 | − | 7763.17i | 0.172605 | − | 0.256970i | ||||
\(971\) | 42252.5 | 1.39644 | 0.698222 | − | 0.715882i | \(-0.253975\pi\) | ||||
0.698222 | + | 0.715882i | \(0.253975\pi\) | |||||||
\(972\) | 972.000i | 0.0320750i | ||||||||
\(973\) | − | 5601.69i | − | 0.184565i | ||||||
\(974\) | 38127.2 | 1.25428 | ||||||||
\(975\) | 1412.45 | + | 3457.31i | 0.0463945 | + | 0.113562i | ||||
\(976\) | −6438.75 | −0.211168 | ||||||||
\(977\) | 29549.0i | 0.967611i | 0.875175 | + | 0.483806i | \(0.160746\pi\) | ||||
−0.875175 | + | 0.483806i | \(0.839254\pi\) | |||||||
\(978\) | 1723.66i | 0.0563565i | ||||||||
\(979\) | 5455.12 | 0.178086 | ||||||||
\(980\) | 8426.81 | − | 12545.6i | 0.274678 | − | 0.408934i | ||||
\(981\) | 16876.3 | 0.549255 | ||||||||
\(982\) | − | 27929.0i | − | 0.907586i | ||||||
\(983\) | 39496.9i | 1.28154i | 0.767733 | + | 0.640770i | \(0.221385\pi\) | ||||
−0.767733 | + | 0.640770i | \(0.778615\pi\) | |||||||
\(984\) | 11586.5 | 0.375370 | ||||||||
\(985\) | −16858.4 | − | 11323.7i | −0.545332 | − | 0.366296i | ||||
\(986\) | −9388.63 | −0.303240 | ||||||||
\(987\) | − | 1046.83i | − | 0.0337597i | ||||||
\(988\) | 1002.98i | 0.0322968i | ||||||||
\(989\) | −56320.0 | −1.81079 | ||||||||
\(990\) | 1819.17 | + | 1221.93i | 0.0584011 | + | 0.0392276i | ||||
\(991\) | −45557.2 | −1.46032 | −0.730158 | − | 0.683278i | \(-0.760554\pi\) | ||||
−0.730158 | + | 0.683278i | \(0.760554\pi\) | |||||||
\(992\) | − | 992.000i | − | 0.0317500i | ||||||
\(993\) | 11054.4i | 0.353273i | ||||||||
\(994\) | −415.981 | −0.0132738 | ||||||||
\(995\) | −7967.81 | + | 11862.3i | −0.253866 | + | 0.377949i | ||||
\(996\) | −11233.4 | −0.357372 | ||||||||
\(997\) | − | 29562.1i | − | 0.939058i | −0.882917 | − | 0.469529i | \(-0.844424\pi\) | ||
0.882917 | − | 0.469529i | \(-0.155576\pi\) | |||||||
\(998\) | 19398.7i | 0.615286i | ||||||||
\(999\) | 3537.00 | 0.112018 |
(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 | 930.4.d.c.559.14 | yes | 20 | |
5.4 | even | 2 | inner | 930.4.d.c.559.4 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.4.d.c.559.4 | ✓ | 20 | 5.4 | even | 2 | inner | |
930.4.d.c.559.14 | yes | 20 | 1.1 | even | 1 | trivial |