Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 143.1 | ||
Character | \(\chi\) | \(=\) | 210.143 |
Dual form | 210.3.w.a.47.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.366025 | − | 1.36603i | 0.183013 | − | 0.683013i | ||||
\(3\) | −2.99647 | + | 0.145428i | −0.998824 | + | 0.0484760i | ||||
\(4\) | −1.73205 | − | 1.00000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 3.20777 | − | 3.83539i | 0.641554 | − | 0.767078i | ||||
\(6\) | −0.898127 | + | 4.14649i | −0.149688 | + | 0.691081i | ||||
\(7\) | 6.79418 | − | 1.68496i | 0.970597 | − | 0.240709i | ||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | 8.95770 | − | 0.871542i | 0.995300 | − | 0.0968380i | ||||
\(10\) | −4.06511 | − | 5.78575i | −0.406511 | − | 0.578575i | ||||
\(11\) | −13.7602 | − | 7.94448i | −1.25093 | − | 0.722225i | −0.279636 | − | 0.960106i | \(-0.590214\pi\) |
−0.971294 | + | 0.237881i | \(0.923547\pi\) | |||||||
\(12\) | 5.33547 | + | 2.74458i | 0.444623 | + | 0.228715i | ||||
\(13\) | −5.32844 | + | 5.32844i | −0.409880 | + | 0.409880i | −0.881697 | − | 0.471817i | \(-0.843598\pi\) |
0.471817 | + | 0.881697i | \(0.343598\pi\) | |||||||
\(14\) | 0.185142 | − | 9.89776i | 0.0132244 | − | 0.706983i | ||||
\(15\) | −9.05423 | + | 11.9591i | −0.603615 | + | 0.797276i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −4.55096 | − | 16.9844i | −0.267703 | − | 0.999083i | −0.960575 | − | 0.278021i | \(-0.910321\pi\) |
0.692872 | − | 0.721061i | \(-0.256345\pi\) | |||||||
\(18\) | 2.08820 | − | 12.5555i | 0.116011 | − | 0.697525i | ||||
\(19\) | −5.62474 | − | 9.74233i | −0.296039 | − | 0.512754i | 0.679187 | − | 0.733965i | \(-0.262332\pi\) |
−0.975226 | + | 0.221211i | \(0.928999\pi\) | |||||||
\(20\) | −9.39141 | + | 3.43532i | −0.469571 | + | 0.171766i | ||||
\(21\) | −20.1135 | + | 6.03701i | −0.957788 | + | 0.287477i | ||||
\(22\) | −15.8890 | + | 15.8890i | −0.722225 | + | 0.722225i | ||||
\(23\) | −39.1036 | − | 10.4778i | −1.70016 | − | 0.455556i | −0.727178 | − | 0.686449i | \(-0.759168\pi\) |
−0.972979 | + | 0.230893i | \(0.925835\pi\) | |||||||
\(24\) | 5.70209 | − | 6.28380i | 0.237587 | − | 0.261825i | ||||
\(25\) | −4.42041 | − | 24.6061i | −0.176816 | − | 0.984244i | ||||
\(26\) | 5.32844 | + | 9.22913i | 0.204940 | + | 0.354966i | ||||
\(27\) | −26.7148 | + | 3.91425i | −0.989436 | + | 0.144972i | ||||
\(28\) | −13.4528 | − | 3.87574i | −0.480458 | − | 0.138419i | ||||
\(29\) | 22.8488 | 0.787888 | 0.393944 | − | 0.919134i | \(-0.371110\pi\) | ||||
0.393944 | + | 0.919134i | \(0.371110\pi\) | |||||||
\(30\) | 13.0224 | + | 16.7457i | 0.434080 | + | 0.558188i | ||||
\(31\) | 36.0825 | + | 20.8322i | 1.16395 | + | 0.672007i | 0.952248 | − | 0.305327i | \(-0.0987658\pi\) |
0.211703 | + | 0.977334i | \(0.432099\pi\) | |||||||
\(32\) | 5.46410 | − | 1.46410i | 0.170753 | − | 0.0457532i | ||||
\(33\) | 42.3875 | + | 21.8043i | 1.28447 | + | 0.660736i | ||||
\(34\) | −24.8669 | −0.731379 | ||||||||
\(35\) | 15.3317 | − | 31.4633i | 0.438048 | − | 0.898951i | ||||
\(36\) | −16.3867 | − | 7.44815i | −0.455187 | − | 0.206893i | ||||
\(37\) | −28.8409 | − | 7.72790i | −0.779484 | − | 0.208862i | −0.152927 | − | 0.988238i | \(-0.548870\pi\) |
−0.626557 | + | 0.779375i | \(0.715537\pi\) | |||||||
\(38\) | −15.3671 | + | 4.11759i | −0.404396 | + | 0.108358i | ||||
\(39\) | 15.1916 | − | 16.7414i | 0.389529 | − | 0.429267i | ||||
\(40\) | 1.25523 | + | 14.0863i | 0.0313809 | + | 0.352158i | ||||
\(41\) | 55.0717 | 1.34321 | 0.671606 | − | 0.740909i | \(-0.265605\pi\) | ||||
0.671606 | + | 0.740909i | \(0.265605\pi\) | |||||||
\(42\) | 0.884639 | + | 29.6853i | 0.0210628 | + | 0.706793i | ||||
\(43\) | −14.2521 | − | 14.2521i | −0.331445 | − | 0.331445i | 0.521690 | − | 0.853135i | \(-0.325302\pi\) |
−0.853135 | + | 0.521690i | \(0.825302\pi\) | |||||||
\(44\) | 15.8890 | + | 27.5205i | 0.361113 | + | 0.625465i | ||||
\(45\) | 25.3916 | − | 37.1520i | 0.564257 | − | 0.825599i | ||||
\(46\) | −28.6258 | + | 49.5814i | −0.622301 | + | 1.07786i | ||||
\(47\) | 25.2813 | + | 6.77411i | 0.537900 | + | 0.144130i | 0.517534 | − | 0.855663i | \(-0.326850\pi\) |
0.0203662 | + | 0.999793i | \(0.493517\pi\) | |||||||
\(48\) | −6.49672 | − | 10.0892i | −0.135348 | − | 0.210192i | ||||
\(49\) | 43.3218 | − | 22.8959i | 0.884118 | − | 0.467263i | ||||
\(50\) | −35.2305 | − | 2.96807i | −0.704611 | − | 0.0593614i | ||||
\(51\) | 16.1068 | + | 50.2315i | 0.315820 | + | 0.984931i | ||||
\(52\) | 14.5576 | − | 3.90069i | 0.279953 | − | 0.0750132i | ||||
\(53\) | 15.8246 | + | 59.0583i | 0.298578 | + | 1.11431i | 0.938334 | + | 0.345730i | \(0.112369\pi\) |
−0.639756 | + | 0.768578i | \(0.720965\pi\) | |||||||
\(54\) | −4.43132 | + | 37.9258i | −0.0820614 | + | 0.702329i | ||||
\(55\) | −74.6098 | + | 27.2918i | −1.35654 | + | 0.496214i | ||||
\(56\) | −10.2184 | + | 16.9583i | −0.182472 | + | 0.302827i | ||||
\(57\) | 18.2712 | + | 28.3746i | 0.320547 | + | 0.497801i | ||||
\(58\) | 8.36322 | − | 31.2120i | 0.144194 | − | 0.538138i | ||||
\(59\) | −10.7056 | − | 6.18085i | −0.181450 | − | 0.104760i | 0.406524 | − | 0.913640i | \(-0.366741\pi\) |
−0.587974 | + | 0.808880i | \(0.700074\pi\) | |||||||
\(60\) | 27.6415 | − | 11.6596i | 0.460692 | − | 0.194327i | ||||
\(61\) | 14.5577 | − | 8.40486i | 0.238650 | − | 0.137785i | −0.375906 | − | 0.926658i | \(-0.622668\pi\) |
0.614556 | + | 0.788873i | \(0.289335\pi\) | |||||||
\(62\) | 41.6644 | − | 41.6644i | 0.672007 | − | 0.672007i | ||||
\(63\) | 59.3917 | − | 21.0148i | 0.942726 | − | 0.333568i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | 3.34422 | + | 37.5290i | 0.0514495 | + | 0.577370i | ||||
\(66\) | 45.3001 | − | 49.9215i | 0.686366 | − | 0.756387i | ||||
\(67\) | −27.8041 | − | 103.766i | −0.414987 | − | 1.54875i | −0.784862 | − | 0.619671i | \(-0.787266\pi\) |
0.369875 | − | 0.929082i | \(-0.379400\pi\) | |||||||
\(68\) | −9.10191 | + | 33.9688i | −0.133852 | + | 0.499541i | ||||
\(69\) | 118.697 | + | 25.7096i | 1.72024 | + | 0.372603i | ||||
\(70\) | −37.3679 | − | 32.4599i | −0.533827 | − | 0.463712i | ||||
\(71\) | − | 34.7786i | − | 0.489840i | −0.969543 | − | 0.244920i | \(-0.921238\pi\) | ||
0.969543 | − | 0.244920i | \(-0.0787617\pi\) | |||||||
\(72\) | −16.1723 | + | 19.6585i | −0.224616 | + | 0.273035i | ||||
\(73\) | −15.2213 | − | 56.8067i | −0.208511 | − | 0.778175i | −0.988351 | − | 0.152195i | \(-0.951366\pi\) |
0.779839 | − | 0.625980i | \(-0.215301\pi\) | |||||||
\(74\) | −21.1130 | + | 36.5688i | −0.285311 | + | 0.494173i | ||||
\(75\) | 16.8240 | + | 73.0887i | 0.224321 | + | 0.974515i | ||||
\(76\) | 22.4989i | 0.296039i | ||||||||
\(77\) | −106.876 | − | 30.7907i | −1.38800 | − | 0.399880i | ||||
\(78\) | −17.3087 | − | 26.8799i | −0.221906 | − | 0.344614i | ||||
\(79\) | −40.5584 | + | 23.4164i | −0.513398 | + | 0.296410i | −0.734229 | − | 0.678902i | \(-0.762456\pi\) |
0.220831 | + | 0.975312i | \(0.429123\pi\) | |||||||
\(80\) | 19.7017 | + | 3.44127i | 0.246271 | + | 0.0430159i | ||||
\(81\) | 79.4808 | − | 15.6140i | 0.981245 | − | 0.192766i | ||||
\(82\) | 20.1576 | − | 75.2293i | 0.245825 | − | 0.917431i | ||||
\(83\) | 75.6892 | + | 75.6892i | 0.911918 | + | 0.911918i | 0.996423 | − | 0.0845048i | \(-0.0269308\pi\) |
−0.0845048 | + | 0.996423i | \(0.526931\pi\) | |||||||
\(84\) | 40.8747 | + | 9.65714i | 0.486603 | + | 0.114966i | ||||
\(85\) | −79.7402 | − | 37.0274i | −0.938120 | − | 0.435616i | ||||
\(86\) | −24.6854 | + | 14.2521i | −0.287040 | + | 0.165722i | ||||
\(87\) | −68.4657 | + | 3.32285i | −0.786962 | + | 0.0381936i | ||||
\(88\) | 43.4094 | − | 11.6315i | 0.493289 | − | 0.132176i | ||||
\(89\) | 116.275 | − | 67.1315i | 1.30646 | − | 0.754286i | 0.324958 | − | 0.945728i | \(-0.394650\pi\) |
0.981504 | + | 0.191442i | \(0.0613163\pi\) | |||||||
\(90\) | −41.4566 | − | 48.2841i | −0.460629 | − | 0.536490i | ||||
\(91\) | −27.2242 | + | 45.1806i | −0.299167 | + | 0.496490i | ||||
\(92\) | 57.2517 | + | 57.2517i | 0.622301 | + | 0.622301i | ||||
\(93\) | −111.150 | − | 57.1758i | −1.19516 | − | 0.614793i | ||||
\(94\) | 18.5072 | − | 32.0554i | 0.196885 | − | 0.341015i | ||||
\(95\) | −55.4085 | − | 9.67811i | −0.583247 | − | 0.101875i | ||||
\(96\) | −16.1601 | + | 5.18177i | −0.168334 | + | 0.0539768i | ||||
\(97\) | 75.7669 | + | 75.7669i | 0.781102 | + | 0.781102i | 0.980017 | − | 0.198915i | \(-0.0637416\pi\) |
−0.198915 | + | 0.980017i | \(0.563742\pi\) | |||||||
\(98\) | −15.4195 | − | 67.5592i | −0.157342 | − | 0.689379i | ||||
\(99\) | −130.184 | − | 59.1716i | −1.31499 | − | 0.597693i | ||||
\(100\) | −16.9497 | + | 47.0394i | −0.169497 | + | 0.470394i | ||||
\(101\) | 39.6447 | − | 68.6665i | 0.392521 | − | 0.679867i | −0.600260 | − | 0.799805i | \(-0.704936\pi\) |
0.992781 | + | 0.119938i | \(0.0382696\pi\) | |||||||
\(102\) | 74.5130 | − | 3.61634i | 0.730519 | − | 0.0354543i | ||||
\(103\) | 48.2373 | + | 12.9252i | 0.468323 | + | 0.125487i | 0.485260 | − | 0.874370i | \(-0.338725\pi\) |
−0.0169370 | + | 0.999857i | \(0.505391\pi\) | |||||||
\(104\) | − | 21.3138i | − | 0.204940i | ||||||
\(105\) | −41.3654 | + | 96.5086i | −0.393956 | + | 0.919129i | ||||
\(106\) | 86.4673 | 0.815730 | ||||||||
\(107\) | −47.7857 | + | 178.339i | −0.446595 | + | 1.66672i | 0.265094 | + | 0.964223i | \(0.414597\pi\) |
−0.711690 | + | 0.702494i | \(0.752070\pi\) | |||||||
\(108\) | 50.1856 | + | 19.9351i | 0.464681 | + | 0.184584i | ||||
\(109\) | 70.6679 | + | 40.8002i | 0.648330 | + | 0.374313i | 0.787816 | − | 0.615911i | \(-0.211212\pi\) |
−0.139486 | + | 0.990224i | \(0.544545\pi\) | |||||||
\(110\) | 9.97218 | + | 111.908i | 0.0906562 | + | 1.01735i | ||||
\(111\) | 87.5449 | + | 18.9622i | 0.788692 | + | 0.170830i | ||||
\(112\) | 19.4252 | + | 20.1658i | 0.173440 | + | 0.180052i | ||||
\(113\) | 56.2695 | − | 56.2695i | 0.497960 | − | 0.497960i | −0.412842 | − | 0.910803i | \(-0.635464\pi\) |
0.910803 | + | 0.412842i | \(0.135464\pi\) | |||||||
\(114\) | 45.4482 | − | 14.5731i | 0.398668 | − | 0.127834i | ||||
\(115\) | −165.622 | + | 116.367i | −1.44019 | + | 1.01189i | ||||
\(116\) | −39.5752 | − | 22.8488i | −0.341166 | − | 0.196972i | ||||
\(117\) | −43.0866 | + | 52.3745i | −0.368262 | + | 0.447645i | ||||
\(118\) | −12.3617 | + | 12.3617i | −0.104760 | + | 0.104760i | ||||
\(119\) | −59.5381 | − | 107.727i | −0.500320 | − | 0.905268i | ||||
\(120\) | −5.80982 | − | 42.0267i | −0.0484152 | − | 0.350223i | ||||
\(121\) | 65.7294 | + | 113.847i | 0.543218 | + | 0.940882i | ||||
\(122\) | −6.15279 | − | 22.9625i | −0.0504327 | − | 0.188217i | ||||
\(123\) | −165.021 | + | 8.00896i | −1.34163 | + | 0.0651135i | ||||
\(124\) | −41.6644 | − | 72.1649i | −0.336004 | − | 0.581975i | ||||
\(125\) | −108.554 | − | 61.9767i | −0.868429 | − | 0.495814i | ||||
\(126\) | −6.96787 | − | 88.8226i | −0.0553006 | − | 0.704941i | ||||
\(127\) | 29.9204 | − | 29.9204i | 0.235594 | − | 0.235594i | −0.579429 | − | 0.815023i | \(-0.696724\pi\) |
0.815023 | + | 0.579429i | \(0.196724\pi\) | |||||||
\(128\) | −10.9282 | − | 2.92820i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | 44.7788 | + | 40.6335i | 0.347122 | + | 0.314988i | ||||
\(130\) | 52.4897 | + | 9.16829i | 0.403767 | + | 0.0705253i | ||||
\(131\) | 82.2110 | + | 142.394i | 0.627565 | + | 1.08697i | 0.988039 | + | 0.154205i | \(0.0492816\pi\) |
−0.360474 | + | 0.932769i | \(0.617385\pi\) | |||||||
\(132\) | −51.6131 | − | 80.1537i | −0.391008 | − | 0.607225i | ||||
\(133\) | −54.6309 | − | 56.7137i | −0.410759 | − | 0.426419i | ||||
\(134\) | −151.925 | −1.13377 | ||||||||
\(135\) | −70.6822 | + | 115.018i | −0.523572 | + | 0.851982i | ||||
\(136\) | 43.0707 | + | 24.8669i | 0.316696 | + | 0.182845i | ||||
\(137\) | −34.5846 | + | 9.26691i | −0.252442 | + | 0.0676417i | −0.382821 | − | 0.923823i | \(-0.625047\pi\) |
0.130379 | + | 0.991464i | \(0.458381\pi\) | |||||||
\(138\) | 78.5660 | − | 152.732i | 0.569319 | − | 1.10676i | ||||
\(139\) | 29.1666 | 0.209832 | 0.104916 | − | 0.994481i | \(-0.466543\pi\) | ||||
0.104916 | + | 0.994481i | \(0.466543\pi\) | |||||||
\(140\) | −58.0186 | + | 39.1643i | −0.414418 | + | 0.279745i | ||||
\(141\) | −76.7399 | − | 16.6218i | −0.544255 | − | 0.117885i | ||||
\(142\) | −47.5085 | − | 12.7299i | −0.334567 | − | 0.0896469i | ||||
\(143\) | 115.652 | − | 30.9889i | 0.808757 | − | 0.216706i | ||||
\(144\) | 20.9345 | + | 29.2873i | 0.145379 | + | 0.203384i | ||||
\(145\) | 73.2936 | − | 87.6338i | 0.505473 | − | 0.604371i | ||||
\(146\) | −83.1709 | −0.569663 | ||||||||
\(147\) | −126.483 | + | 74.9071i | −0.860428 | + | 0.509572i | ||||
\(148\) | 42.2260 | + | 42.2260i | 0.285311 | + | 0.285311i | ||||
\(149\) | −62.7849 | − | 108.747i | −0.421375 | − | 0.729843i | 0.574699 | − | 0.818365i | \(-0.305119\pi\) |
−0.996074 | + | 0.0885216i | \(0.971786\pi\) | |||||||
\(150\) | 105.999 | + | 3.77023i | 0.706660 | + | 0.0251349i | ||||
\(151\) | −93.1064 | + | 161.265i | −0.616599 | + | 1.06798i | 0.373503 | + | 0.927629i | \(0.378157\pi\) |
−0.990102 | + | 0.140352i | \(0.955177\pi\) | |||||||
\(152\) | 30.7341 | + | 8.23519i | 0.202198 | + | 0.0541788i | ||||
\(153\) | −55.5687 | − | 148.175i | −0.363194 | − | 0.968463i | ||||
\(154\) | −81.1801 | + | 134.725i | −0.527144 | + | 0.874836i | ||||
\(155\) | 195.644 | − | 71.5653i | 1.26222 | − | 0.461711i | ||||
\(156\) | −43.0541 | + | 13.8054i | −0.275988 | + | 0.0884960i | ||||
\(157\) | −101.730 | + | 27.2585i | −0.647962 | + | 0.173621i | −0.567807 | − | 0.823162i | \(-0.692208\pi\) |
−0.0801548 | + | 0.996782i | \(0.525541\pi\) | |||||||
\(158\) | 17.1420 | + | 63.9748i | 0.108494 | + | 0.404904i | ||||
\(159\) | −56.0068 | − | 174.665i | −0.352244 | − | 1.09852i | ||||
\(160\) | 11.9122 | − | 25.6535i | 0.0744512 | − | 0.160334i | ||||
\(161\) | −283.332 | − | 5.29983i | −1.75982 | − | 0.0329182i | ||||
\(162\) | 7.76285 | − | 114.288i | 0.0479188 | − | 0.705481i | ||||
\(163\) | 52.7878 | − | 197.007i | 0.323852 | − | 1.20863i | −0.591610 | − | 0.806225i | \(-0.701507\pi\) |
0.915461 | − | 0.402406i | \(-0.131826\pi\) | |||||||
\(164\) | −95.3870 | − | 55.0717i | −0.581628 | − | 0.335803i | ||||
\(165\) | 219.597 | − | 92.6295i | 1.33089 | − | 0.561391i | ||||
\(166\) | 131.098 | − | 75.6892i | 0.789744 | − | 0.455959i | ||||
\(167\) | 168.308 | − | 168.308i | 1.00783 | − | 1.00783i | 0.00786180 | − | 0.999969i | \(-0.497497\pi\) |
0.999969 | − | 0.00786180i | \(-0.00250252\pi\) | |||||||
\(168\) | 28.1531 | − | 52.3011i | 0.167578 | − | 0.311316i | ||||
\(169\) | 112.215i | 0.663997i | ||||||||
\(170\) | −79.7673 | + | 95.3742i | −0.469219 | + | 0.561025i | ||||
\(171\) | −58.8756 | − | 82.3667i | −0.344301 | − | 0.481676i | ||||
\(172\) | 10.4333 | + | 38.9375i | 0.0606586 | + | 0.226381i | ||||
\(173\) | −37.5901 | + | 140.288i | −0.217284 | + | 0.810914i | 0.768066 | + | 0.640370i | \(0.221219\pi\) |
−0.985350 | + | 0.170544i | \(0.945448\pi\) | |||||||
\(174\) | −20.5211 | + | 94.7421i | −0.117937 | + | 0.544495i | ||||
\(175\) | −71.4934 | − | 159.730i | −0.408534 | − | 0.912743i | ||||
\(176\) | − | 63.5558i | − | 0.361113i | ||||||
\(177\) | 32.9778 | + | 16.9639i | 0.186315 | + | 0.0958411i | ||||
\(178\) | −49.1437 | − | 183.407i | −0.276088 | − | 1.03037i | ||||
\(179\) | 53.3572 | − | 92.4174i | 0.298085 | − | 0.516298i | −0.677613 | − | 0.735419i | \(-0.736985\pi\) |
0.975698 | + | 0.219120i | \(0.0703188\pi\) | |||||||
\(180\) | −81.1314 | + | 38.9575i | −0.450730 | + | 0.216431i | ||||
\(181\) | − | 16.9570i | − | 0.0936850i | −0.998902 | − | 0.0468425i | \(-0.985084\pi\) | ||
0.998902 | − | 0.0468425i | \(-0.0149159\pi\) | |||||||
\(182\) | 51.7531 | + | 53.7261i | 0.284358 | + | 0.295199i | ||||
\(183\) | −42.3993 | + | 27.3020i | −0.231690 | + | 0.149191i | ||||
\(184\) | 99.1628 | − | 57.2517i | 0.538928 | − | 0.311150i | ||||
\(185\) | −122.155 | + | 85.8268i | −0.660295 | + | 0.463928i | ||||
\(186\) | −118.787 | + | 130.906i | −0.638641 | + | 0.703793i | ||||
\(187\) | −72.3099 | + | 269.864i | −0.386684 | + | 1.44313i | ||||
\(188\) | −37.0144 | − | 37.0144i | −0.196885 | − | 0.196885i | ||||
\(189\) | −174.910 | + | 71.6075i | −0.925448 | + | 0.378876i | ||||
\(190\) | −33.5015 | + | 72.1470i | −0.176323 | + | 0.379721i | ||||
\(191\) | 30.1768 | − | 17.4226i | 0.157994 | − | 0.0912178i | −0.418919 | − | 0.908024i | \(-0.637591\pi\) |
0.576912 | + | 0.816806i | \(0.304257\pi\) | |||||||
\(192\) | 1.16342 | + | 23.9718i | 0.00605950 | + | 0.124853i | ||||
\(193\) | 187.117 | − | 50.1378i | 0.969517 | − | 0.259781i | 0.260893 | − | 0.965368i | \(-0.415983\pi\) |
0.708624 | + | 0.705586i | \(0.249316\pi\) | |||||||
\(194\) | 131.232 | − | 75.7669i | 0.676454 | − | 0.390551i | ||||
\(195\) | −15.4786 | − | 111.968i | −0.0793776 | − | 0.574197i | ||||
\(196\) | −97.9314 | − | 3.66498i | −0.499650 | − | 0.0186989i | ||||
\(197\) | −48.4192 | − | 48.4192i | −0.245783 | − | 0.245783i | 0.573455 | − | 0.819237i | \(-0.305603\pi\) |
−0.819237 | + | 0.573455i | \(0.805603\pi\) | |||||||
\(198\) | −128.481 | + | 156.176i | −0.648892 | + | 0.788770i | ||||
\(199\) | −30.8142 | + | 53.3717i | −0.154845 | + | 0.268200i | −0.933003 | − | 0.359870i | \(-0.882821\pi\) |
0.778157 | + | 0.628069i | \(0.216155\pi\) | |||||||
\(200\) | 58.0530 | + | 40.3714i | 0.290265 | + | 0.201857i | ||||
\(201\) | 98.4048 | + | 306.890i | 0.489576 | + | 1.52681i | ||||
\(202\) | −79.2893 | − | 79.2893i | −0.392521 | − | 0.392521i | ||||
\(203\) | 155.239 | − | 38.4993i | 0.764722 | − | 0.189652i | ||||
\(204\) | 22.3336 | − | 103.110i | 0.109479 | − | 0.505443i | ||||
\(205\) | 176.657 | − | 211.221i | 0.861743 | − | 1.03035i | ||||
\(206\) | 35.3122 | − | 61.1625i | 0.171418 | − | 0.296905i | ||||
\(207\) | −359.410 | − | 59.7764i | −1.73628 | − | 0.288775i | ||||
\(208\) | −29.1151 | − | 7.80137i | −0.139977 | − | 0.0375066i | ||||
\(209\) | 178.742i | 0.855227i | ||||||||
\(210\) | 116.692 | + | 91.8307i | 0.555678 | + | 0.437289i | ||||
\(211\) | 312.769 | 1.48232 | 0.741158 | − | 0.671331i | \(-0.234277\pi\) | ||||
0.741158 | + | 0.671331i | \(0.234277\pi\) | |||||||
\(212\) | 31.6492 | − | 118.117i | 0.149289 | − | 0.557154i | ||||
\(213\) | 5.05779 | + | 104.213i | 0.0237455 | + | 0.489264i | ||||
\(214\) | 226.124 | + | 130.553i | 1.05666 | + | 0.610061i | ||||
\(215\) | −100.380 | + | 8.94488i | −0.466884 | + | 0.0416041i | ||||
\(216\) | 45.6010 | − | 61.2580i | 0.211116 | − | 0.283602i | ||||
\(217\) | 280.252 | + | 80.7403i | 1.29149 | + | 0.372075i | ||||
\(218\) | 81.6003 | − | 81.6003i | 0.374313 | − | 0.374313i | ||||
\(219\) | 53.8716 | + | 168.006i | 0.245989 | + | 0.767152i | ||||
\(220\) | 156.520 | + | 27.3391i | 0.711454 | + | 0.124269i | ||||
\(221\) | 114.750 | + | 66.2508i | 0.519230 | + | 0.299778i | ||||
\(222\) | 57.9464 | − | 112.648i | 0.261020 | − | 0.507423i | ||||
\(223\) | −128.865 | + | 128.865i | −0.577870 | + | 0.577870i | −0.934316 | − | 0.356446i | \(-0.883988\pi\) |
0.356446 | + | 0.934316i | \(0.383988\pi\) | |||||||
\(224\) | 34.6571 | − | 19.1542i | 0.154719 | − | 0.0855097i | ||||
\(225\) | −61.0419 | − | 216.561i | −0.271297 | − | 0.962496i | ||||
\(226\) | −56.2695 | − | 97.4616i | −0.248980 | − | 0.431246i | ||||
\(227\) | −97.9428 | − | 365.528i | −0.431466 | − | 1.61025i | −0.749384 | − | 0.662135i | \(-0.769650\pi\) |
0.317918 | − | 0.948118i | \(-0.397016\pi\) | |||||||
\(228\) | −3.27198 | − | 67.4175i | −0.0143508 | − | 0.295691i | ||||
\(229\) | 78.9305 | + | 136.712i | 0.344675 | + | 0.596994i | 0.985295 | − | 0.170864i | \(-0.0546558\pi\) |
−0.640620 | + | 0.767858i | \(0.721323\pi\) | |||||||
\(230\) | 98.3388 | + | 268.837i | 0.427560 | + | 1.16886i | ||||
\(231\) | 324.728 | + | 76.7209i | 1.40575 | + | 0.332125i | ||||
\(232\) | −45.6975 | + | 45.6975i | −0.196972 | + | 0.196972i | ||||
\(233\) | 88.7869 | + | 23.7904i | 0.381060 | + | 0.102105i | 0.444264 | − | 0.895896i | \(-0.353465\pi\) |
−0.0632042 | + | 0.998001i | \(0.520132\pi\) | |||||||
\(234\) | 55.7741 | + | 78.0278i | 0.238351 | + | 0.333452i | ||||
\(235\) | 107.078 | − | 75.2338i | 0.455651 | − | 0.320144i | ||||
\(236\) | 12.3617 | + | 21.4111i | 0.0523801 | + | 0.0907250i | ||||
\(237\) | 118.127 | − | 76.0650i | 0.498425 | − | 0.320949i | ||||
\(238\) | −168.950 | + | 41.8998i | −0.709875 | + | 0.176049i | ||||
\(239\) | −77.3170 | −0.323502 | −0.161751 | − | 0.986832i | \(-0.551714\pi\) | ||||
−0.161751 | + | 0.986832i | \(0.551714\pi\) | |||||||
\(240\) | −59.5361 | − | 7.44649i | −0.248067 | − | 0.0310270i | ||||
\(241\) | −372.723 | − | 215.192i | −1.54657 | − | 0.892912i | −0.998400 | − | 0.0565436i | \(-0.981992\pi\) |
−0.548168 | − | 0.836368i | \(-0.684675\pi\) | |||||||
\(242\) | 179.576 | − | 48.1173i | 0.742050 | − | 0.198832i | ||||
\(243\) | −235.891 | + | 58.3457i | −0.970747 | + | 0.240106i | ||||
\(244\) | −33.6195 | −0.137785 | ||||||||
\(245\) | 51.1518 | − | 239.601i | 0.208783 | − | 0.977962i | ||||
\(246\) | −49.4614 | + | 228.354i | −0.201062 | + | 0.928269i | ||||
\(247\) | 81.8824 | + | 21.9403i | 0.331508 | + | 0.0888273i | ||||
\(248\) | −113.829 | + | 30.5005i | −0.458989 | + | 0.122986i | ||||
\(249\) | −237.808 | − | 215.793i | −0.955052 | − | 0.866640i | ||||
\(250\) | −124.395 | + | 125.602i | −0.497581 | + | 0.502408i | ||||
\(251\) | 17.9306 | 0.0714367 | 0.0357184 | − | 0.999362i | \(-0.488628\pi\) | ||||
0.0357184 | + | 0.999362i | \(0.488628\pi\) | |||||||
\(252\) | −123.884 | − | 22.9930i | −0.491604 | − | 0.0912422i | ||||
\(253\) | 454.834 | + | 454.834i | 1.79776 | + | 1.79776i | ||||
\(254\) | −29.9204 | − | 51.8237i | −0.117797 | − | 0.204030i | ||||
\(255\) | 244.324 | + | 99.3551i | 0.958134 | + | 0.389628i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −146.201 | − | 39.1745i | −0.568876 | − | 0.152430i | −0.0370950 | − | 0.999312i | \(-0.511810\pi\) |
−0.531781 | + | 0.846882i | \(0.678477\pi\) | |||||||
\(258\) | 71.8965 | − | 46.2961i | 0.278669 | − | 0.179442i | ||||
\(259\) | −208.972 | − | 3.90890i | −0.806840 | − | 0.0150923i | ||||
\(260\) | 31.7367 | − | 68.3464i | 0.122064 | − | 0.262871i | ||||
\(261\) | 204.672 | − | 19.9136i | 0.784185 | − | 0.0762975i | ||||
\(262\) | 224.605 | − | 60.1826i | 0.857270 | − | 0.229705i | ||||
\(263\) | 114.591 | + | 427.661i | 0.435709 | + | 1.62609i | 0.739364 | + | 0.673306i | \(0.235126\pi\) |
−0.303655 | + | 0.952782i | \(0.598207\pi\) | |||||||
\(264\) | −128.384 | + | 41.1665i | −0.486302 | + | 0.155934i | ||||
\(265\) | 277.273 | + | 128.752i | 1.04631 | + | 0.485856i | ||||
\(266\) | −97.4686 | + | 53.8686i | −0.366423 | + | 0.202514i | ||||
\(267\) | −338.653 | + | 218.067i | −1.26836 | + | 0.816732i | ||||
\(268\) | −55.6082 | + | 207.533i | −0.207493 | + | 0.774376i | ||||
\(269\) | 53.4816 | + | 30.8776i | 0.198817 | + | 0.114787i | 0.596103 | − | 0.802908i | \(-0.296715\pi\) |
−0.397287 | + | 0.917694i | \(0.630048\pi\) | |||||||
\(270\) | 131.245 | + | 138.653i | 0.486094 | + | 0.513530i | ||||
\(271\) | 100.182 | − | 57.8400i | 0.369675 | − | 0.213432i | −0.303642 | − | 0.952786i | \(-0.598203\pi\) |
0.673316 | + | 0.739355i | \(0.264869\pi\) | |||||||
\(272\) | 49.7338 | − | 49.7338i | 0.182845 | − | 0.182845i | ||||
\(273\) | 75.0059 | − | 139.342i | 0.274747 | − | 0.510409i | ||||
\(274\) | 50.6354i | 0.184801i | ||||||||
\(275\) | −134.657 | + | 373.704i | −0.489661 | + | 1.35892i | ||||
\(276\) | −179.879 | − | 163.227i | −0.651736 | − | 0.591402i | ||||
\(277\) | −96.8189 | − | 361.333i | −0.349527 | − | 1.30445i | −0.887234 | − | 0.461320i | \(-0.847376\pi\) |
0.537707 | − | 0.843132i | \(-0.319291\pi\) | |||||||
\(278\) | 10.6757 | − | 39.8424i | 0.0384019 | − | 0.143318i | ||||
\(279\) | 341.372 | + | 155.161i | 1.22356 | + | 0.556134i | ||||
\(280\) | 32.2632 | + | 93.5900i | 0.115226 | + | 0.334250i | ||||
\(281\) | 236.224i | 0.840656i | 0.907372 | + | 0.420328i | \(0.138085\pi\) | ||||
−0.907372 | + | 0.420328i | \(0.861915\pi\) | |||||||
\(282\) | −50.7946 | + | 98.7446i | −0.180123 | + | 0.350158i | ||||
\(283\) | −6.13887 | − | 22.9106i | −0.0216921 | − | 0.0809561i | 0.954231 | − | 0.299070i | \(-0.0966763\pi\) |
−0.975923 | + | 0.218114i | \(0.930010\pi\) | |||||||
\(284\) | −34.7786 | + | 60.2384i | −0.122460 | + | 0.212107i | ||||
\(285\) | 167.437 | + | 20.9423i | 0.587500 | + | 0.0734816i | ||||
\(286\) | − | 169.327i | − | 0.592051i | ||||||
\(287\) | 374.167 | − | 92.7937i | 1.30372 | − | 0.323323i | ||||
\(288\) | 47.6698 | − | 17.8772i | 0.165520 | − | 0.0620735i | ||||
\(289\) | −17.4774 | + | 10.0906i | −0.0604754 | + | 0.0349155i | ||||
\(290\) | −92.8827 | − | 132.197i | −0.320285 | − | 0.455852i | ||||
\(291\) | −238.052 | − | 216.015i | −0.818049 | − | 0.742319i | ||||
\(292\) | −30.4426 | + | 113.613i | −0.104256 | + | 0.389087i | ||||
\(293\) | 89.0653 | + | 89.0653i | 0.303977 | + | 0.303977i | 0.842568 | − | 0.538591i | \(-0.181043\pi\) |
−0.538591 | + | 0.842568i | \(0.681043\pi\) | |||||||
\(294\) | 56.0290 | + | 200.197i | 0.190575 | + | 0.680941i | ||||
\(295\) | −58.0469 | + | 21.2332i | −0.196769 | + | 0.0719769i | ||||
\(296\) | 73.1376 | − | 42.2260i | 0.247087 | − | 0.142655i | ||||
\(297\) | 398.698 | + | 158.374i | 1.34242 | + | 0.533245i | ||||
\(298\) | −171.532 | + | 45.9617i | −0.575609 | + | 0.154234i | ||||
\(299\) | 264.191 | − | 152.531i | 0.883583 | − | 0.510137i | ||||
\(300\) | 43.9486 | − | 143.417i | 0.146495 | − | 0.478058i | ||||
\(301\) | −120.846 | − | 72.8172i | −0.401481 | − | 0.241918i | ||||
\(302\) | 186.213 | + | 186.213i | 0.616599 | + | 0.616599i | ||||
\(303\) | −108.808 | + | 211.523i | −0.359103 | + | 0.698095i | ||||
\(304\) | 22.4989 | − | 38.9693i | 0.0740097 | − | 0.128189i | ||||
\(305\) | 14.4617 | − | 82.7951i | 0.0474154 | − | 0.271459i | ||||
\(306\) | −222.750 | + | 21.6725i | −0.727942 | + | 0.0708253i | ||||
\(307\) | −79.6418 | − | 79.6418i | −0.259419 | − | 0.259419i | 0.565398 | − | 0.824818i | \(-0.308722\pi\) |
−0.824818 | + | 0.565398i | \(0.808722\pi\) | |||||||
\(308\) | 154.323 | + | 160.207i | 0.501050 | + | 0.520152i | ||||
\(309\) | −146.422 | − | 31.7148i | −0.473856 | − | 0.102637i | ||||
\(310\) | −26.1493 | − | 293.449i | −0.0843526 | − | 0.946611i | ||||
\(311\) | −53.4146 | + | 92.5167i | −0.171751 | + | 0.297481i | −0.939032 | − | 0.343829i | \(-0.888276\pi\) |
0.767281 | + | 0.641311i | \(0.221609\pi\) | |||||||
\(312\) | 3.09962 | + | 63.8661i | 0.00993466 | + | 0.204699i | ||||
\(313\) | −130.207 | − | 34.8889i | −0.415998 | − | 0.111466i | 0.0447483 | − | 0.998998i | \(-0.485751\pi\) |
−0.460746 | + | 0.887532i | \(0.652418\pi\) | |||||||
\(314\) | 148.943i | 0.474341i | ||||||||
\(315\) | 109.915 | − | 295.201i | 0.348937 | − | 0.937146i | ||||
\(316\) | 93.6657 | 0.296410 | ||||||||
\(317\) | −85.1391 | + | 317.743i | −0.268578 | + | 1.00235i | 0.691447 | + | 0.722428i | \(0.256974\pi\) |
−0.960024 | + | 0.279917i | \(0.909693\pi\) | |||||||
\(318\) | −259.097 | + | 12.5748i | −0.814771 | + | 0.0395433i | ||||
\(319\) | −314.404 | − | 181.521i | −0.985593 | − | 0.569033i | ||||
\(320\) | −30.6831 | − | 25.6622i | −0.0958847 | − | 0.0801943i | ||||
\(321\) | 117.253 | − | 541.336i | 0.365275 | − | 1.68641i | ||||
\(322\) | −110.946 | + | 385.098i | −0.344554 | + | 1.19596i | ||||
\(323\) | −139.870 | + | 139.870i | −0.433033 | + | 0.433033i | ||||
\(324\) | −153.279 | − | 52.4365i | −0.473083 | − | 0.161841i | ||||
\(325\) | 154.666 | + | 107.558i | 0.475895 | + | 0.330948i | ||||
\(326\) | −249.795 | − | 144.219i | −0.766241 | − | 0.442390i | ||||
\(327\) | −217.688 | − | 111.979i | −0.665713 | − | 0.342445i | ||||
\(328\) | −110.143 | + | 110.143i | −0.335803 | + | 0.335803i | ||||
\(329\) | 183.180 | + | 3.42645i | 0.556778 | + | 0.0104148i | ||||
\(330\) | −46.1560 | − | 333.880i | −0.139867 | − | 1.01176i | ||||
\(331\) | −275.493 | − | 477.168i | −0.832305 | − | 1.44160i | −0.896206 | − | 0.443639i | \(-0.853687\pi\) |
0.0639004 | − | 0.997956i | \(-0.479646\pi\) | |||||||
\(332\) | −55.4084 | − | 206.787i | −0.166893 | − | 0.622852i | ||||
\(333\) | −265.083 | − | 44.0882i | −0.796046 | − | 0.132397i | ||||
\(334\) | −168.308 | − | 291.518i | −0.503915 | − | 0.872807i | ||||
\(335\) | −487.174 | − | 226.219i | −1.45425 | − | 0.675281i | ||||
\(336\) | −61.1399 | − | 57.6013i | −0.181964 | − | 0.171433i | ||||
\(337\) | 174.856 | − | 174.856i | 0.518861 | − | 0.518861i | −0.398366 | − | 0.917227i | \(-0.630423\pi\) |
0.917227 | + | 0.398366i | \(0.130423\pi\) | |||||||
\(338\) | 153.289 | + | 41.0737i | 0.453518 | + | 0.121520i | ||||
\(339\) | −160.427 | + | 176.793i | −0.473236 | + | 0.521514i | ||||
\(340\) | 101.087 | + | 143.874i | 0.297314 | + | 0.423157i | ||||
\(341\) | −331.002 | − | 573.313i | −0.970681 | − | 1.68127i | ||||
\(342\) | −134.065 | + | 50.2772i | −0.392003 | + | 0.147009i | ||||
\(343\) | 255.758 | − | 228.554i | 0.745649 | − | 0.666339i | ||||
\(344\) | 57.0085 | 0.165722 | ||||||||
\(345\) | 479.358 | − | 372.777i | 1.38944 | − | 1.08051i | ||||
\(346\) | 177.878 | + | 102.698i | 0.514099 | + | 0.296815i | ||||
\(347\) | 121.043 | − | 32.4333i | 0.348827 | − | 0.0934678i | −0.0801515 | − | 0.996783i | \(-0.525540\pi\) |
0.428978 | + | 0.903315i | \(0.358874\pi\) | |||||||
\(348\) | 121.909 | + | 62.7103i | 0.350313 | + | 0.180202i | ||||
\(349\) | −82.2163 | −0.235577 | −0.117788 | − | 0.993039i | \(-0.537580\pi\) | ||||
−0.117788 | + | 0.993039i | \(0.537580\pi\) | |||||||
\(350\) | −244.364 | + | 39.1965i | −0.698182 | + | 0.111990i | ||||
\(351\) | 121.491 | − | 163.205i | 0.346129 | − | 0.464971i | ||||
\(352\) | −86.8189 | − | 23.2630i | −0.246644 | − | 0.0660882i | ||||
\(353\) | −405.413 | + | 108.630i | −1.14848 | + | 0.307734i | −0.782356 | − | 0.622832i | \(-0.785982\pi\) |
−0.366124 | + | 0.930566i | \(0.619315\pi\) | |||||||
\(354\) | 35.2438 | − | 38.8393i | 0.0995587 | − | 0.109715i | ||||
\(355\) | −133.390 | − | 111.562i | −0.375745 | − | 0.314259i | ||||
\(356\) | −268.526 | −0.754286 | ||||||||
\(357\) | 194.071 | + | 314.142i | 0.543616 | + | 0.879950i | ||||
\(358\) | −106.714 | − | 106.714i | −0.298085 | − | 0.298085i | ||||
\(359\) | −222.108 | − | 384.703i | −0.618687 | − | 1.07160i | −0.989726 | − | 0.142979i | \(-0.954332\pi\) |
0.371039 | − | 0.928617i | \(-0.379002\pi\) | |||||||
\(360\) | 23.5208 | + | 125.087i | 0.0653356 | + | 0.347464i | ||||
\(361\) | 117.225 | − | 203.039i | 0.324722 | − | 0.562435i | ||||
\(362\) | −23.1637 | − | 6.20669i | −0.0639880 | − | 0.0171455i | ||||
\(363\) | −213.513 | − | 331.580i | −0.588190 | − | 0.913443i | ||||
\(364\) | 92.3342 | − | 51.0309i | 0.253665 | − | 0.140195i | ||||
\(365\) | −266.702 | − | 123.843i | −0.730692 | − | 0.339297i | ||||
\(366\) | 21.7761 | + | 67.9118i | 0.0594974 | + | 0.185551i | ||||
\(367\) | 538.984 | − | 144.420i | 1.46862 | − | 0.393516i | 0.566163 | − | 0.824293i | \(-0.308427\pi\) |
0.902458 | + | 0.430777i | \(0.141761\pi\) | |||||||
\(368\) | −41.9111 | − | 156.414i | −0.113889 | − | 0.425039i | ||||
\(369\) | 493.316 | − | 47.9973i | 1.33690 | − | 0.130074i | ||||
\(370\) | 72.5299 | + | 198.281i | 0.196027 | + | 0.535895i | ||||
\(371\) | 207.026 | + | 374.589i | 0.558023 | + | 1.00967i | ||||
\(372\) | 135.341 | + | 210.181i | 0.363820 | + | 0.565003i | ||||
\(373\) | −79.6048 | + | 297.089i | −0.213418 | + | 0.796485i | 0.773300 | + | 0.634040i | \(0.218605\pi\) |
−0.986718 | + | 0.162445i | \(0.948062\pi\) | |||||||
\(374\) | 342.174 | + | 197.554i | 0.914905 | + | 0.528220i | ||||
\(375\) | 334.291 | + | 169.925i | 0.891443 | + | 0.453133i | ||||
\(376\) | −64.1108 | + | 37.0144i | −0.170507 | + | 0.0984425i | ||||
\(377\) | −121.748 | + | 121.748i | −0.322939 | + | 0.322939i | ||||
\(378\) | 33.7963 | + | 265.141i | 0.0894083 | + | 0.701432i | ||||
\(379\) | − | 7.39316i | − | 0.0195070i | −0.999952 | − | 0.00975351i | \(-0.996895\pi\) | ||
0.999952 | − | 0.00975351i | \(-0.00310469\pi\) | |||||||
\(380\) | 86.2922 | + | 72.1715i | 0.227085 | + | 0.189925i | ||||
\(381\) | −85.3045 | + | 94.0070i | −0.223896 | + | 0.246738i | ||||
\(382\) | −12.7542 | − | 47.5994i | −0.0333880 | − | 0.124606i | ||||
\(383\) | 42.7344 | − | 159.487i | 0.111578 | − | 0.416415i | −0.887430 | − | 0.460942i | \(-0.847512\pi\) |
0.999008 | + | 0.0445273i | \(0.0141782\pi\) | |||||||
\(384\) | 33.1719 | + | 7.18502i | 0.0863852 | + | 0.0187110i | ||||
\(385\) | −460.927 | + | 311.140i | −1.19721 | + | 0.808156i | ||||
\(386\) | − | 273.958i | − | 0.709736i | ||||||
\(387\) | −140.088 | − | 115.245i | −0.361984 | − | 0.297791i | ||||
\(388\) | −55.4652 | − | 206.999i | −0.142952 | − | 0.533503i | ||||
\(389\) | −209.686 | + | 363.187i | −0.539038 | + | 0.933641i | 0.459918 | + | 0.887961i | \(0.347879\pi\) |
−0.998956 | + | 0.0456801i | \(0.985455\pi\) | |||||||
\(390\) | −158.617 | − | 19.8391i | −0.406711 | − | 0.0508694i | ||||
\(391\) | 711.835i | 1.82055i | ||||||||
\(392\) | −40.8518 | + | 132.435i | −0.104214 | + | 0.337845i | ||||
\(393\) | −267.051 | − | 414.723i | −0.679519 | − | 1.05527i | ||||
\(394\) | −83.8645 | + | 48.4192i | −0.212854 | + | 0.122891i | ||||
\(395\) | −40.2911 | + | 230.672i | −0.102003 | + | 0.583979i | ||||
\(396\) | 166.314 | + | 232.672i | 0.419984 | + | 0.587556i | ||||
\(397\) | −78.2133 | + | 291.896i | −0.197011 | + | 0.735255i | 0.794726 | + | 0.606968i | \(0.207614\pi\) |
−0.991737 | + | 0.128287i | \(0.959052\pi\) | |||||||
\(398\) | 61.6284 | + | 61.6284i | 0.154845 | + | 0.154845i | ||||
\(399\) | 171.948 | + | 161.996i | 0.430947 | + | 0.406005i | ||||
\(400\) | 76.3972 | − | 64.5249i | 0.190993 | − | 0.161312i | ||||
\(401\) | 322.132 | − | 185.983i | 0.803320 | − | 0.463797i | −0.0413104 | − | 0.999146i | \(-0.513153\pi\) |
0.844631 | + | 0.535349i | \(0.179820\pi\) | |||||||
\(402\) | 455.238 | − | 22.0941i | 1.13243 | − | 0.0549604i | ||||
\(403\) | −303.266 | + | 81.2600i | −0.752522 | + | 0.201638i | ||||
\(404\) | −137.333 | + | 79.2893i | −0.339933 | + | 0.196261i | ||||
\(405\) | 195.070 | − | 354.926i | 0.481655 | − | 0.876361i | ||||
\(406\) | 4.23026 | − | 226.152i | 0.0104193 | − | 0.557024i | ||||
\(407\) | 335.464 | + | 335.464i | 0.824235 | + | 0.824235i | ||||
\(408\) | −132.677 | − | 68.2493i | −0.325188 | − | 0.167278i | ||||
\(409\) | −148.294 | + | 256.853i | −0.362577 | + | 0.628001i | −0.988384 | − | 0.151976i | \(-0.951436\pi\) |
0.625807 | + | 0.779978i | \(0.284770\pi\) | |||||||
\(410\) | −223.873 | − | 318.631i | −0.546031 | − | 0.777148i | ||||
\(411\) | 102.284 | − | 32.7976i | 0.248866 | − | 0.0797996i | ||||
\(412\) | −70.6243 | − | 70.6243i | −0.171418 | − | 0.171418i | ||||
\(413\) | −83.1500 | − | 23.9554i | −0.201332 | − | 0.0580033i | ||||
\(414\) | −213.209 | + | 469.084i | −0.514998 | + | 1.13305i | ||||
\(415\) | 533.091 | − | 47.5038i | 1.28456 | − | 0.114467i | ||||
\(416\) | −21.3138 | + | 36.9165i | −0.0512350 | + | 0.0887416i | ||||
\(417\) | −87.3971 | + | 4.24165i | −0.209585 | + | 0.0101718i | ||||
\(418\) | 244.167 | + | 65.4242i | 0.584131 | + | 0.156517i | ||||
\(419\) | − | 564.525i | − | 1.34732i | −0.739044 | − | 0.673658i | \(-0.764722\pi\) | ||
0.739044 | − | 0.673658i | \(-0.235278\pi\) | |||||||
\(420\) | 168.156 | − | 125.792i | 0.400370 | − | 0.299506i | ||||
\(421\) | −576.949 | −1.37043 | −0.685213 | − | 0.728343i | \(-0.740291\pi\) | ||||
−0.685213 | + | 0.728343i | \(0.740291\pi\) | |||||||
\(422\) | 114.481 | − | 427.250i | 0.271283 | − | 1.01244i | ||||
\(423\) | 232.366 | + | 38.6467i | 0.549329 | + | 0.0913633i | ||||
\(424\) | −149.766 | − | 86.4673i | −0.353221 | − | 0.203932i | ||||
\(425\) | −397.803 | + | 187.059i | −0.936007 | + | 0.440139i | ||||
\(426\) | 144.209 | + | 31.2356i | 0.338519 | + | 0.0733231i | ||||
\(427\) | 84.7454 | − | 81.6333i | 0.198467 | − | 0.191179i | ||||
\(428\) | 261.106 | − | 261.106i | 0.610061 | − | 0.610061i | ||||
\(429\) | −342.042 | + | 109.677i | −0.797301 | + | 0.255656i | ||||
\(430\) | −24.5227 | + | 140.396i | −0.0570295 | + | 0.326502i | ||||
\(431\) | −443.346 | − | 255.966i | −1.02864 | − | 0.593888i | −0.112048 | − | 0.993703i | \(-0.535741\pi\) |
−0.916596 | + | 0.399815i | \(0.869075\pi\) | |||||||
\(432\) | −66.9889 | − | 84.7142i | −0.155067 | − | 0.196098i | ||||
\(433\) | −545.122 | + | 545.122i | −1.25894 | + | 1.25894i | −0.307343 | + | 0.951599i | \(0.599440\pi\) |
−0.951599 | + | 0.307343i | \(0.900560\pi\) | |||||||
\(434\) | 212.873 | − | 353.279i | 0.490490 | − | 0.814006i | ||||
\(435\) | −206.878 | + | 273.251i | −0.475581 | + | 0.628164i | ||||
\(436\) | −81.6003 | − | 141.336i | −0.187157 | − | 0.324165i | ||||
\(437\) | 117.869 | + | 439.895i | 0.269724 | + | 1.00662i | ||||
\(438\) | 249.219 | − | 12.0954i | 0.568994 | − | 0.0276150i | ||||
\(439\) | 135.516 | + | 234.721i | 0.308693 | + | 0.534673i | 0.978077 | − | 0.208245i | \(-0.0667750\pi\) |
−0.669383 | + | 0.742917i | \(0.733442\pi\) | |||||||
\(440\) | 94.6361 | − | 203.803i | 0.215082 | − | 0.463189i | ||||
\(441\) | 368.109 | − | 242.851i | 0.834714 | − | 0.550683i | ||||
\(442\) | 132.502 | − | 132.502i | 0.299778 | − | 0.299778i | ||||
\(443\) | −110.503 | − | 29.6092i | −0.249443 | − | 0.0668380i | 0.131931 | − | 0.991259i | \(-0.457882\pi\) |
−0.381374 | + | 0.924421i | \(0.624549\pi\) | |||||||
\(444\) | −132.670 | − | 120.388i | −0.298806 | − | 0.271145i | ||||
\(445\) | 115.509 | − | 661.303i | 0.259570 | − | 1.48607i | ||||
\(446\) | 128.865 | + | 223.201i | 0.288935 | + | 0.500450i | ||||
\(447\) | 203.948 | + | 316.726i | 0.456260 | + | 0.708559i | ||||
\(448\) | −13.4797 | − | 54.3535i | −0.0300886 | − | 0.121325i | ||||
\(449\) | 113.813 | 0.253482 | 0.126741 | − | 0.991936i | \(-0.459548\pi\) | ||||
0.126741 | + | 0.991936i | \(0.459548\pi\) | |||||||
\(450\) | −318.171 | + | 4.11782i | −0.707048 | + | 0.00915071i | ||||
\(451\) | −757.799 | − | 437.516i | −1.68026 | − | 0.970101i | ||||
\(452\) | −153.731 | + | 41.1921i | −0.340113 | + | 0.0911330i | ||||
\(453\) | 255.538 | − | 496.767i | 0.564103 | − | 1.09662i | ||||
\(454\) | −535.169 | −1.17879 | ||||||||
\(455\) | 85.9562 | + | 249.344i | 0.188915 | + | 0.548009i | ||||
\(456\) | −93.2916 | − | 20.2069i | −0.204587 | − | 0.0443134i | ||||
\(457\) | −666.119 | − | 178.486i | −1.45759 | − | 0.390560i | −0.558934 | − | 0.829212i | \(-0.688789\pi\) |
−0.898657 | + | 0.438652i | \(0.855456\pi\) | |||||||
\(458\) | 215.642 | − | 57.7812i | 0.470835 | − | 0.126160i | ||||
\(459\) | 188.059 | + | 435.921i | 0.409715 | + | 0.949718i | ||||
\(460\) | 403.233 | − | 35.9321i | 0.876593 | − | 0.0781133i | ||||
\(461\) | −195.653 | −0.424410 | −0.212205 | − | 0.977225i | \(-0.568065\pi\) | ||||
−0.212205 | + | 0.977225i | \(0.568065\pi\) | |||||||
\(462\) | 223.661 | − | 415.505i | 0.484116 | − | 0.899361i | ||||
\(463\) | 478.759 | + | 478.759i | 1.03404 | + | 1.03404i | 0.999400 | + | 0.0346360i | \(0.0110272\pi\) |
0.0346360 | + | 0.999400i | \(0.488973\pi\) | |||||||
\(464\) | 45.6975 | + | 79.1504i | 0.0984860 | + | 0.170583i | ||||
\(465\) | −575.834 | + | 242.895i | −1.23835 | + | 0.522356i | ||||
\(466\) | 64.9965 | − | 112.577i | 0.139478 | − | 0.241582i | ||||
\(467\) | −99.9487 | − | 26.7812i | −0.214023 | − | 0.0573472i | 0.150214 | − | 0.988653i | \(-0.452004\pi\) |
−0.364237 | + | 0.931306i | \(0.618670\pi\) | |||||||
\(468\) | 127.003 | − | 47.6287i | 0.271373 | − | 0.101771i | ||||
\(469\) | −363.749 | − | 658.159i | −0.775584 | − | 1.40332i | ||||
\(470\) | −63.5781 | − | 173.809i | −0.135273 | − | 0.369806i | ||||
\(471\) | 300.867 | − | 96.4737i | 0.638784 | − | 0.204827i | ||||
\(472\) | 33.7728 | − | 9.04940i | 0.0715526 | − | 0.0191724i | ||||
\(473\) | 82.8870 | + | 309.338i | 0.175237 | + | 0.653992i | ||||
\(474\) | −60.6693 | − | 189.206i | −0.127994 | − | 0.399169i | ||||
\(475\) | −214.857 | + | 181.468i | −0.452331 | + | 0.382038i | ||||
\(476\) | −4.60390 | + | 246.127i | −0.00967205 | + | 0.517073i | ||||
\(477\) | 193.224 | + | 515.235i | 0.405082 | + | 1.08016i | ||||
\(478\) | −28.3000 | + | 105.617i | −0.0592050 | + | 0.220956i | ||||
\(479\) | 170.076 | + | 98.1933i | 0.355064 | + | 0.204997i | 0.666914 | − | 0.745135i | \(-0.267615\pi\) |
−0.311849 | + | 0.950132i | \(0.600948\pi\) | |||||||
\(480\) | −31.9638 | + | 78.6023i | −0.0665913 | + | 0.163755i | ||||
\(481\) | 194.855 | − | 112.499i | 0.405103 | − | 0.233886i | ||||
\(482\) | −430.383 | + | 430.383i | −0.892912 | + | 0.892912i | ||||
\(483\) | 849.766 | − | 25.3235i | 1.75935 | − | 0.0524297i | ||||
\(484\) | − | 262.918i | − | 0.543218i | ||||||
\(485\) | 533.638 | − | 47.5526i | 1.10029 | − | 0.0980466i | ||||
\(486\) | −6.64051 | + | 343.590i | −0.0136636 | + | 0.706975i | ||||
\(487\) | 25.0464 | + | 93.4744i | 0.0514299 | + | 0.191939i | 0.986861 | − | 0.161569i | \(-0.0516554\pi\) |
−0.935431 | + | 0.353508i | \(0.884989\pi\) | |||||||
\(488\) | −12.3056 | + | 45.9250i | −0.0252163 | + | 0.0941087i | ||||
\(489\) | −129.527 | + | 598.002i | −0.264881 | + | 1.22291i | ||||
\(490\) | −308.578 | − | 157.575i | −0.629751 | − | 0.321581i | ||||
\(491\) | 54.8531i | 0.111717i | 0.998439 | + | 0.0558585i | \(0.0177896\pi\) | ||||
−0.998439 | + | 0.0558585i | \(0.982210\pi\) | |||||||
\(492\) | 293.833 | + | 151.149i | 0.597222 | + | 0.307213i | ||||
\(493\) | −103.984 | − | 388.072i | −0.210920 | − | 0.787165i | ||||
\(494\) | 59.9421 | − | 103.823i | 0.121340 | − | 0.210168i | ||||
\(495\) | −644.547 | + | 309.497i | −1.30211 | + | 0.625247i | ||||
\(496\) | 166.658i | 0.336004i | ||||||||
\(497\) | −58.6007 | − | 236.292i | −0.117909 | − | 0.475437i | ||||
\(498\) | −381.823 | + | 245.866i | −0.766713 | + | 0.493707i | ||||
\(499\) | 617.735 | − | 356.650i | 1.23795 | − | 0.714729i | 0.269272 | − | 0.963064i | \(-0.413217\pi\) |
0.968674 | + | 0.248335i | \(0.0798835\pi\) | |||||||
\(500\) | 126.044 | + | 215.900i | 0.252087 | + | 0.431801i | ||||
\(501\) | −479.853 | + | 528.806i | −0.957790 | + | 1.05550i | ||||
\(502\) | 6.56306 | − | 24.4937i | 0.0130738 | − | 0.0487922i | ||||
\(503\) | 662.424 | + | 662.424i | 1.31695 | + | 1.31695i | 0.916180 | + | 0.400767i | \(0.131256\pi\) |
0.400767 | + | 0.916180i | \(0.368744\pi\) | |||||||
\(504\) | −76.7539 | + | 160.813i | −0.152289 | + | 0.319074i | ||||
\(505\) | −136.192 | − | 372.319i | −0.269687 | − | 0.737266i | ||||
\(506\) | 787.796 | − | 454.834i | 1.55691 | − | 0.898882i | ||||
\(507\) | −16.3193 | − | 336.251i | −0.0321879 | − | 0.663216i | ||||
\(508\) | −81.7441 | + | 21.9033i | −0.160914 | + | 0.0431167i | ||||
\(509\) | −330.632 | + | 190.890i | −0.649572 | + | 0.375030i | −0.788292 | − | 0.615301i | \(-0.789034\pi\) |
0.138721 | + | 0.990332i | \(0.455701\pi\) | |||||||
\(510\) | 225.150 | − | 297.387i | 0.441472 | − | 0.583111i | ||||
\(511\) | −199.134 | − | 360.308i | −0.389694 | − | 0.705104i | ||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 188.397 | + | 238.247i | 0.367246 | + | 0.464420i | ||||
\(514\) | −107.027 | + | 185.376i | −0.208223 | + | 0.360653i | ||||
\(515\) | 204.307 | − | 143.548i | 0.396713 | − | 0.278734i | ||||
\(516\) | −36.9257 | − | 115.158i | −0.0715613 | − | 0.223174i | ||||
\(517\) | −294.060 | − | 294.060i | −0.568781 | − | 0.568781i | ||||
\(518\) | −81.8286 | + | 284.030i | −0.157970 | + | 0.548320i | ||||
\(519\) | 92.2358 | − | 425.836i | 0.177718 | − | 0.820493i | ||||
\(520\) | −81.7465 | − | 68.3696i | −0.157205 | − | 0.131480i | ||||
\(521\) | −389.610 | + | 674.824i | −0.747812 | + | 1.29525i | 0.201058 | + | 0.979579i | \(0.435562\pi\) |
−0.948870 | + | 0.315668i | \(0.897771\pi\) | |||||||
\(522\) | 47.7127 | − | 286.876i | 0.0914037 | − | 0.549572i | ||||
\(523\) | −211.381 | − | 56.6393i | −0.404170 | − | 0.108297i | 0.0510066 | − | 0.998698i | \(-0.483757\pi\) |
−0.455176 | + | 0.890401i | \(0.650424\pi\) | |||||||
\(524\) | − | 328.844i | − | 0.627565i | ||||||
\(525\) | 237.457 | + | 468.230i | 0.452300 | + | 0.891866i | ||||
\(526\) | 626.139 | 1.19038 | ||||||||
\(527\) | 189.613 | − | 707.646i | 0.359797 | − | 1.34278i | ||||
\(528\) | 9.24279 | + | 190.443i | 0.0175053 | + | 0.360688i | ||||
\(529\) | 961.181 | + | 554.938i | 1.81698 | + | 1.04903i | ||||
\(530\) | 277.367 | − | 331.636i | 0.523335 | − | 0.625728i | ||||
\(531\) | −101.284 | − | 46.0359i | −0.190742 | − | 0.0866966i | ||||
\(532\) | 37.9099 | + | 152.862i | 0.0712592 | + | 0.287334i | ||||
\(533\) | −293.446 | + | 293.446i | −0.550555 | + | 0.550555i | ||||
\(534\) | 173.930 | + | 542.426i | 0.325712 | + | 1.01578i | ||||
\(535\) | 530.712 | + | 755.346i | 0.991986 | + | 1.41186i | ||||
\(536\) | 263.141 | + | 151.925i | 0.490935 | + | 0.283441i | ||||
\(537\) | −146.443 | + | 284.686i | −0.272706 | + | 0.530141i | ||||
\(538\) | 61.7553 | − | 61.7553i | 0.114787 | − | 0.114787i | ||||
\(539\) | −778.014 | − | 29.1163i | −1.44344 | − | 0.0540191i | ||||
\(540\) | 237.443 | − | 128.534i | 0.439709 | − | 0.238026i | ||||
\(541\) | 280.957 | + | 486.632i | 0.519329 | + | 0.899504i | 0.999748 | + | 0.0224649i | \(0.00715140\pi\) |
−0.480419 | + | 0.877039i | \(0.659515\pi\) | |||||||
\(542\) | −42.3418 | − | 158.022i | −0.0781215 | − | 0.291553i | ||||
\(543\) | 2.46602 | + | 50.8111i | 0.00454147 | + | 0.0935749i | ||||
\(544\) | −49.7338 | − | 86.1414i | −0.0914224 | − | 0.158348i | ||||
\(545\) | 383.171 | − | 140.161i | 0.703066 | − | 0.257177i | ||||
\(546\) | −162.890 | − | 153.463i | −0.298333 | − | 0.281067i | ||||
\(547\) | −706.567 | + | 706.567i | −1.29171 | + | 1.29171i | −0.357987 | + | 0.933727i | \(0.616537\pi\) |
−0.933727 | + | 0.357987i | \(0.883463\pi\) | |||||||
\(548\) | 69.1692 | + | 18.5338i | 0.126221 | + | 0.0338208i | ||||
\(549\) | 123.078 | − | 87.9759i | 0.224186 | − | 0.160247i | ||||
\(550\) | 461.201 | + | 320.729i | 0.838547 | + | 0.583145i | ||||
\(551\) | −128.518 | − | 222.600i | −0.233245 | − | 0.403993i | ||||
\(552\) | −288.813 | + | 185.974i | −0.523211 | + | 0.336910i | ||||
\(553\) | −236.105 | + | 227.435i | −0.426954 | + | 0.411274i | ||||
\(554\) | −529.028 | −0.954925 | ||||||||
\(555\) | 353.551 | − | 274.942i | 0.637029 | − | 0.495391i | ||||
\(556\) | −50.5181 | − | 29.1666i | −0.0908599 | − | 0.0524580i | ||||
\(557\) | 516.348 | − | 138.355i | 0.927016 | − | 0.248393i | 0.236434 | − | 0.971648i | \(-0.424021\pi\) |
0.690582 | + | 0.723254i | \(0.257355\pi\) | |||||||
\(558\) | 336.905 | − | 409.530i | 0.603773 | − | 0.733925i | ||||
\(559\) | 151.883 | 0.271705 | ||||||||
\(560\) | 139.655 | − | 9.81605i | 0.249385 | − | 0.0175287i | ||||
\(561\) | 177.429 | − | 819.157i | 0.316273 | − | 1.46017i | ||||
\(562\) | 322.689 | + | 86.4641i | 0.574179 | + | 0.153851i | ||||
\(563\) | 169.172 | − | 45.3296i | 0.300484 | − | 0.0805144i | −0.105427 | − | 0.994427i | \(-0.533621\pi\) |
0.405911 | + | 0.913913i | \(0.366954\pi\) | |||||||
\(564\) | 116.296 | + | 105.530i | 0.206198 | + | 0.187109i | ||||
\(565\) | −35.3157 | − | 396.315i | −0.0625057 | − | 0.701443i | ||||
\(566\) | −33.5434 | −0.0592640 | ||||||||
\(567\) | 513.698 | − | 240.007i | 0.905993 | − | 0.423292i | ||||
\(568\) | 69.5573 | + | 69.5573i | 0.122460 | + | 0.122460i | ||||
\(569\) | −3.43082 | − | 5.94235i | −0.00602955 | − | 0.0104435i | 0.862995 | − | 0.505213i | \(-0.168586\pi\) |
−0.869024 | + | 0.494769i | \(0.835253\pi\) | |||||||
\(570\) | 89.8940 | − | 221.058i | 0.157709 | − | 0.387822i | ||||
\(571\) | −282.742 | + | 489.723i | −0.495169 | + | 0.857658i | −0.999984 | − | 0.00556934i | \(-0.998227\pi\) |
0.504815 | + | 0.863227i | \(0.331561\pi\) | |||||||
\(572\) | −231.304 | − | 61.9778i | −0.404378 | − | 0.108353i | ||||
\(573\) | −87.8903 | + | 56.5949i | −0.153386 | + | 0.0987694i | ||||
\(574\) | 10.1961 | − | 545.086i | 0.0177632 | − | 0.949628i | ||||
\(575\) | −84.9634 | + | 1008.50i | −0.147762 | + | 1.75392i | ||||
\(576\) | −6.97233 | − | 71.6616i | −0.0121047 | − | 0.124413i | ||||
\(577\) | 646.672 | − | 173.275i | 1.12075 | − | 0.300304i | 0.349562 | − | 0.936913i | \(-0.386330\pi\) |
0.771186 | + | 0.636610i | \(0.219664\pi\) | |||||||
\(578\) | 7.38681 | + | 27.5680i | 0.0127799 | + | 0.0476954i | ||||
\(579\) | −553.399 | + | 177.449i | −0.955784 | + | 0.306474i | ||||
\(580\) | −214.582 | + | 78.4927i | −0.369969 | + | 0.135332i | ||||
\(581\) | 641.780 | + | 386.713i | 1.10461 | + | 0.665599i | ||||
\(582\) | −382.215 | + | 246.118i | −0.656727 | + | 0.422884i | ||||
\(583\) | 251.437 | − | 938.375i | 0.431281 | − | 1.60956i | ||||
\(584\) | 144.056 | + | 83.1709i | 0.246671 | + | 0.142416i | ||||
\(585\) | 62.6646 | + | 333.259i | 0.107119 | + | 0.569674i | ||||
\(586\) | 154.266 | − | 89.0653i | 0.263252 | − | 0.151989i | ||||
\(587\) | 120.200 | − | 120.200i | 0.204770 | − | 0.204770i | −0.597270 | − | 0.802040i | \(-0.703748\pi\) |
0.802040 | + | 0.597270i | \(0.203748\pi\) | |||||||
\(588\) | 293.982 | − | 3.25997i | 0.499969 | − | 0.00554416i | ||||
\(589\) | − | 468.703i | − | 0.795761i | ||||||
\(590\) | 7.75842 | + | 87.0655i | 0.0131499 | + | 0.147569i | ||||
\(591\) | 152.128 | + | 138.045i | 0.257408 | + | 0.233579i | ||||
\(592\) | −30.9116 | − | 115.364i | −0.0522155 | − | 0.194871i | ||||
\(593\) | 155.006 | − | 578.491i | 0.261393 | − | 0.975534i | −0.703028 | − | 0.711163i | \(-0.748169\pi\) |
0.964421 | − | 0.264371i | \(-0.0851643\pi\) | |||||||
\(594\) | 362.276 | − | 486.663i | 0.609893 | − | 0.819298i | ||||
\(595\) | −604.159 | − | 117.212i | −1.01539 | − | 0.196994i | ||||
\(596\) | 251.140i | 0.421375i | ||||||||
\(597\) | 84.5721 | − | 164.408i | 0.141662 | − | 0.275391i | ||||
\(598\) | −111.660 | − | 416.722i | −0.186723 | − | 0.696860i | ||||
\(599\) | 312.822 | − | 541.824i | 0.522241 | − | 0.904548i | −0.477424 | − | 0.878673i | \(-0.658430\pi\) |
0.999665 | − | 0.0258747i | \(-0.00823710\pi\) | |||||||
\(600\) | −179.825 | − | 112.529i | −0.299709 | − | 0.187549i | ||||
\(601\) | 564.677i | 0.939563i | 0.882783 | + | 0.469782i | \(0.155667\pi\) | ||||
−0.882783 | + | 0.469782i | \(0.844333\pi\) | |||||||
\(602\) | −143.703 | + | 138.426i | −0.238709 | + | 0.229943i | ||||
\(603\) | −339.498 | − | 905.276i | −0.563015 | − | 1.50129i | ||||
\(604\) | 322.530 | − | 186.213i | 0.533990 | − | 0.308299i | ||||
\(605\) | 647.491 | + | 113.096i | 1.07023 | + | 0.186936i | ||||
\(606\) | 249.119 | + | 226.057i | 0.411088 | + | 0.373032i | ||||
\(607\) | 116.002 | − | 432.927i | 0.191108 | − | 0.713224i | −0.802132 | − | 0.597146i | \(-0.796301\pi\) |
0.993240 | − | 0.116078i | \(-0.0370322\pi\) | |||||||
\(608\) | −44.9979 | − | 44.9979i | −0.0740097 | − | 0.0740097i | ||||
\(609\) | −459.569 | + | 137.938i | −0.754629 | + | 0.226499i | ||||
\(610\) | −107.807 | − | 50.0602i | −0.176733 | − | 0.0820658i | ||||
\(611\) | −170.805 | + | 98.6145i | −0.279550 | + | 0.161398i | ||||
\(612\) | −51.9270 | + | 312.215i | −0.0848480 | + | 0.510155i | ||||
\(613\) | −589.092 | + | 157.847i | −0.960998 | + | 0.257499i | −0.705023 | − | 0.709185i | \(-0.749063\pi\) |
−0.255975 | + | 0.966683i | \(0.582397\pi\) | |||||||
\(614\) | −137.944 | + | 79.6418i | −0.224664 | + | 0.129710i | ||||
\(615\) | −498.632 | + | 658.610i | −0.810783 | + | 1.07091i | ||||
\(616\) | 275.333 | − | 152.170i | 0.446969 | − | 0.247029i | ||||
\(617\) | −717.965 | − | 717.965i | −1.16364 | − | 1.16364i | −0.983673 | − | 0.179965i | \(-0.942402\pi\) |
−0.179965 | − | 0.983673i | \(-0.557598\pi\) | |||||||
\(618\) | −96.9172 | + | 188.407i | −0.156824 | + | 0.304866i | ||||
\(619\) | −282.875 | + | 489.955i | −0.456988 | + | 0.791526i | −0.998800 | − | 0.0489736i | \(-0.984405\pi\) |
0.541812 | + | 0.840499i | \(0.317738\pi\) | |||||||
\(620\) | −410.431 | − | 71.6893i | −0.661985 | − | 0.115628i | ||||
\(621\) | 1085.66 | + | 126.850i | 1.74824 | + | 0.204267i | ||||
\(622\) | 106.829 | + | 106.829i | 0.171751 | + | 0.171751i | ||||
\(623\) | 676.880 | − | 652.023i | 1.08649 | − | 1.04659i | ||||
\(624\) | 88.3772 | + | 19.1425i | 0.141630 | + | 0.0306770i | ||||
\(625\) | −585.920 | + | 217.538i | −0.937472 | + | 0.348061i | ||||
\(626\) | −95.3183 | + | 165.096i | −0.152266 | + | 0.263732i | ||||
\(627\) | −25.9941 | − | 535.597i | −0.0414579 | − | 0.854221i | ||||
\(628\) | 203.460 | + | 54.5170i | 0.323981 | + | 0.0868105i | ||||
\(629\) | 525.015i | 0.834682i | ||||||||
\(630\) | −363.020 | − | 258.198i | −0.576223 | − | 0.409838i | ||||
\(631\) | 1216.92 | 1.92856 | 0.964281 | − | 0.264880i | \(-0.0853323\pi\) | ||||
0.964281 | + | 0.264880i | \(0.0853323\pi\) | |||||||
\(632\) | 34.2840 | − | 127.950i | 0.0542469 | − | 0.202452i | ||||
\(633\) | −937.203 | + | 45.4853i | −1.48057 | + | 0.0718567i | ||||
\(634\) | 402.882 | + | 232.604i | 0.635461 | + | 0.366884i | ||||
\(635\) | −18.7786 | − | 210.734i | −0.0295725 | − | 0.331865i | ||||
\(636\) | −77.6587 | + | 358.536i | −0.122105 | + | 0.563736i | ||||
\(637\) | −108.838 | + | 352.837i | −0.170861 | + | 0.553904i | ||||
\(638\) | −363.043 | + | 363.043i | −0.569033 | + | 0.569033i | ||||
\(639\) | −30.3110 | − | 311.537i | −0.0474351 | − | 0.487538i | ||||
\(640\) | −46.2860 | + | 32.5209i | −0.0723218 | + | 0.0508139i | ||||
\(641\) | 14.4603 | + | 8.34866i | 0.0225590 | + | 0.0130244i | 0.511237 | − | 0.859440i | \(-0.329187\pi\) |
−0.488678 | + | 0.872464i | \(0.662521\pi\) | |||||||
\(642\) | −696.562 | − | 358.314i | −1.08499 | − | 0.558121i | ||||
\(643\) | 838.779 | − | 838.779i | 1.30448 | − | 1.30448i | 0.379137 | − | 0.925341i | \(-0.376221\pi\) |
0.925341 | − | 0.379137i | \(-0.123779\pi\) | |||||||
\(644\) | 485.445 | + | 292.511i | 0.753797 | + | 0.454210i | ||||
\(645\) | 299.485 | − | 41.4012i | 0.464318 | − | 0.0641878i | ||||
\(646\) | 139.870 | + | 242.261i | 0.216517 | + | 0.375018i | ||||
\(647\) | 52.3263 | + | 195.284i | 0.0808752 | + | 0.301830i | 0.994501 | − | 0.104725i | \(-0.0333964\pi\) |
−0.913626 | + | 0.406556i | \(0.866730\pi\) | |||||||
\(648\) | −127.734 | + | 190.190i | −0.197120 | + | 0.293503i | ||||
\(649\) | 98.2073 | + | 170.100i | 0.151321 | + | 0.262096i | ||||
\(650\) | 203.539 | − | 171.909i | 0.313137 | − | 0.264475i | ||||
\(651\) | −851.510 | − | 201.180i | −1.30800 | − | 0.309032i | ||||
\(652\) | −288.438 | + | 288.438i | −0.442390 | + | 0.442390i | ||||
\(653\) | −770.473 | − | 206.448i | −1.17990 | − | 0.316152i | −0.385011 | − | 0.922912i | \(-0.625802\pi\) |
−0.794886 | + | 0.606759i | \(0.792469\pi\) | |||||||
\(654\) | −232.646 | + | 256.380i | −0.355728 | + | 0.392019i | ||||
\(655\) | 809.849 | + | 141.455i | 1.23641 | + | 0.215962i | ||||
\(656\) | 110.143 | + | 190.774i | 0.167901 | + | 0.290814i | ||||
\(657\) | −185.858 | − | 495.592i | −0.282888 | − | 0.754326i | ||||
\(658\) | 71.7291 | − | 248.974i | 0.109011 | − | 0.378380i | ||||
\(659\) | 897.874 | 1.36248 | 0.681240 | − | 0.732061i | \(-0.261441\pi\) | ||||
0.681240 | + | 0.732061i | \(0.261441\pi\) | |||||||
\(660\) | −472.983 | − | 59.1585i | −0.716641 | − | 0.0896340i | ||||
\(661\) | −373.944 | − | 215.897i | −0.565725 | − | 0.326621i | 0.189715 | − | 0.981839i | \(-0.439244\pi\) |
−0.755440 | + | 0.655218i | \(0.772577\pi\) | |||||||
\(662\) | −752.661 | + | 201.675i | −1.13695 | + | 0.304645i | ||||
\(663\) | −353.479 | − | 181.831i | −0.533152 | − | 0.274255i | ||||
\(664\) | −302.757 | −0.455959 | ||||||||
\(665\) | −392.763 | + | 27.6063i | −0.590620 | + | 0.0415133i | ||||
\(666\) | −157.253 | + | 345.973i | −0.236115 | + | 0.519480i | ||||
\(667\) | −893.469 | − | 239.404i | −1.33953 | − | 0.358927i | ||||
\(668\) | −459.825 | + | 123.210i | −0.688361 | + | 0.184446i | ||||
\(669\) | 367.400 | − | 404.881i | 0.549177 | − | 0.605203i | ||||
\(670\) | −487.339 | + | 582.690i | −0.727372 | + | 0.869686i | ||||
\(671\) | −267.089 | −0.398046 | ||||||||
\(672\) | −101.064 | + | 62.4351i | −0.150392 | + | 0.0929094i | ||||
\(673\) | 286.300 | + | 286.300i | 0.425408 | + | 0.425408i | 0.887061 | − | 0.461653i | \(-0.152743\pi\) |
−0.461653 | + | 0.887061i | \(0.652743\pi\) | |||||||
\(674\) | −174.856 | − | 302.860i | −0.259430 | − | 0.449347i | ||||
\(675\) | 214.405 | + | 640.043i | 0.317636 | + | 0.948213i | ||||
\(676\) | 112.215 | − | 194.363i | 0.165999 | − | 0.287519i | ||||
\(677\) | −98.9049 | − | 26.5015i | −0.146093 | − | 0.0391455i | 0.185031 | − | 0.982733i | \(-0.440761\pi\) |
−0.331124 | + | 0.943587i | \(0.607428\pi\) | |||||||
\(678\) | 182.784 | + | 283.858i | 0.269592 | + | 0.418670i | ||||
\(679\) | 642.439 | + | 387.110i | 0.946154 | + | 0.570117i | ||||
\(680\) | 233.535 | − | 85.4256i | 0.343434 | − | 0.125626i | ||||
\(681\) | 346.641 | + | 1081.05i | 0.509017 | + | 1.58744i | ||||
\(682\) | −904.315 | + | 242.310i | −1.32597 | + | 0.355294i | ||||
\(683\) | −196.511 | − | 733.390i | −0.287718 | − | 1.07378i | −0.946831 | − | 0.321733i | \(-0.895735\pi\) |
0.659113 | − | 0.752044i | \(-0.270932\pi\) | |||||||
\(684\) | 19.6088 | + | 201.539i | 0.0286678 | + | 0.294647i | ||||
\(685\) | −75.3972 | + | 162.371i | −0.110069 | + | 0.237039i | ||||
\(686\) | −218.597 | − | 433.028i | −0.318655 | − | 0.631236i | ||||
\(687\) | −256.395 | − | 398.174i | −0.373210 | − | 0.579584i | ||||
\(688\) | 20.8666 | − | 77.8751i | 0.0303293 | − | 0.113191i | ||||
\(689\) | −399.009 | − | 230.368i | −0.579113 | − | 0.334351i | ||||
\(690\) | −333.766 | − | 791.261i | −0.483719 | − | 1.14676i | ||||
\(691\) | −651.620 | + | 376.213i | −0.943010 | + | 0.544447i | −0.890903 | − | 0.454194i | \(-0.849927\pi\) |
−0.0521077 | + | 0.998641i | \(0.516594\pi\) | |||||||
\(692\) | 205.396 | − | 205.396i | 0.296815 | − | 0.296815i | ||||
\(693\) | −984.196 | − | 182.668i | −1.42020 | − | 0.263590i | ||||
\(694\) | − | 177.219i | − | 0.255359i | ||||||
\(695\) | 93.5599 | − | 111.865i | 0.134619 | − | 0.160957i | ||||
\(696\) | 130.286 | − | 143.577i | 0.187192 | − | 0.206289i | ||||
\(697\) | −250.629 | − | 935.360i | −0.359582 | − | 1.34198i | ||||
\(698\) | −30.0933 | + | 112.310i | −0.0431135 | + | 0.160902i | ||||
\(699\) | −269.507 | − | 58.3751i | −0.385561 | − | 0.0835123i | ||||
\(700\) | −35.8999 | + | 348.154i | −0.0512855 | + | 0.497363i | ||||
\(701\) | − | 306.359i | − | 0.437032i | −0.975833 | − | 0.218516i | \(-0.929878\pi\) | ||
0.975833 | − | 0.218516i | \(-0.0701216\pi\) | |||||||
\(702\) | −178.473 | − | 225.697i | −0.254235 | − | 0.321506i | ||||
\(703\) | 86.9348 | + | 324.445i | 0.123663 | + | 0.461515i | ||||
\(704\) | −63.5558 | + | 110.082i | −0.0902781 | + | 0.156366i | ||||
\(705\) | −309.915 | + | 241.008i | −0.439596 | + | 0.341856i | ||||
\(706\) | 593.567i | 0.840746i | ||||||||
\(707\) | 153.652 | − | 533.333i | 0.217330 | − | 0.754360i | ||||
\(708\) | −40.1553 | − | 62.3600i | −0.0567165 | − | 0.0880792i | ||||
\(709\) | −188.596 | + | 108.886i | −0.266003 | + | 0.153577i | −0.627070 | − | 0.778963i | \(-0.715746\pi\) |
0.361067 | + | 0.932540i | \(0.382413\pi\) | |||||||
\(710\) | −201.220 | + | 141.379i | −0.283409 | + | 0.199125i | ||||
\(711\) | −342.902 | + | 245.106i | −0.482281 | + | 0.344734i | ||||
\(712\) | −98.2873 | + | 366.813i | −0.138044 | + | 0.515187i | ||||
\(713\) | −1192.68 | − | 1192.68i | −1.67276 | − | 1.67276i | ||||
\(714\) | 500.161 | − | 150.122i | 0.700506 | − | 0.210254i | ||||
\(715\) | 252.131 | − | 542.977i | 0.352631 | − | 0.759408i | ||||
\(716\) | −184.835 | + | 106.714i | −0.258149 | + | 0.149043i | ||||
\(717\) | 231.678 | − | 11.2441i | 0.323122 | − | 0.0156821i | ||||
\(718\) | −606.812 | + | 162.595i | −0.845142 | + | 0.226455i | ||||
\(719\) | −204.988 | + | 118.350i | −0.285101 | + | 0.164603i | −0.635731 | − | 0.771911i | \(-0.719301\pi\) |
0.350629 | + | 0.936514i | \(0.385968\pi\) | |||||||
\(720\) | 179.481 | + | 13.6550i | 0.249280 | + | 0.0189653i | ||||
\(721\) | 349.511 | + | 6.53775i | 0.484759 | + | 0.00906762i | ||||
\(722\) | −234.449 | − | 234.449i | −0.324722 | − | 0.324722i | ||||
\(723\) | 1148.15 | + | 590.612i | 1.58803 | + | 0.816891i | ||||
\(724\) | −16.9570 | + | 29.3704i | −0.0234212 | + | 0.0405668i | ||||
\(725\) | −101.001 | − | 562.219i | −0.139311 | − | 0.775474i | ||||
\(726\) | −531.097 | + | 170.298i | −0.731539 | + | 0.234570i | ||||
\(727\) | 173.946 | + | 173.946i | 0.239266 | + | 0.239266i | 0.816546 | − | 0.577280i | \(-0.195886\pi\) |
−0.577280 | + | 0.816546i | \(0.695886\pi\) | |||||||
\(728\) | −35.9129 | − | 144.809i | −0.0493309 | − | 0.198914i | ||||
\(729\) | 698.357 | − | 209.137i | 0.957966 | − | 0.286882i | ||||
\(730\) | −266.793 | + | 318.993i | −0.365470 | + | 0.436976i | ||||
\(731\) | −177.203 | + | 306.925i | −0.242412 | + | 0.419870i | ||||
\(732\) | 100.740 | − | 4.88921i | 0.137623 | − | 0.00667925i | ||||
\(733\) | 872.111 | + | 233.681i | 1.18978 | + | 0.318801i | 0.798800 | − | 0.601597i | \(-0.205469\pi\) |
0.390983 | + | 0.920398i | \(0.372135\pi\) | |||||||
\(734\) | − | 789.128i | − | 1.07511i | ||||||
\(735\) | −118.430 | + | 725.396i | −0.161130 | + | 0.986933i | ||||
\(736\) | −229.007 | −0.311150 | ||||||||
\(737\) | −441.778 | + | 1648.74i | −0.599428 | + | 2.23710i | ||||
\(738\) | 115.001 | − | 691.450i | 0.155827 | − | 0.936924i | ||||
\(739\) | 340.163 | + | 196.393i | 0.460302 | + | 0.265756i | 0.712171 | − | 0.702006i | \(-0.247712\pi\) |
−0.251869 | + | 0.967761i | \(0.581045\pi\) | |||||||
\(740\) | 297.405 | − | 26.5018i | 0.401898 | − | 0.0358132i | ||||
\(741\) | −248.549 | − | 53.8356i | −0.335424 | − | 0.0726527i | ||||
\(742\) | 587.475 | − | 145.694i | 0.791745 | − | 0.196353i | ||||
\(743\) | 219.726 | − | 219.726i | 0.295729 | − | 0.295729i | −0.543610 | − | 0.839338i | \(-0.682943\pi\) |
0.839338 | + | 0.543610i | \(0.182943\pi\) | |||||||
\(744\) | 336.651 | − | 107.948i | 0.452488 | − | 0.145091i | ||||
\(745\) | −618.485 | − | 108.030i | −0.830181 | − | 0.145007i | ||||
\(746\) | 376.694 | + | 217.484i | 0.504951 | + | 0.291534i | ||||
\(747\) | 743.968 | + | 612.035i | 0.995941 | + | 0.819324i | ||||
\(748\) | 395.109 | − | 395.109i | 0.528220 | − | 0.528220i | ||||
\(749\) | −24.1708 | + | 1292.18i | −0.0322707 | + | 1.72521i | ||||
\(750\) | 354.481 | − | 394.453i | 0.472641 | − | 0.525938i | ||||
\(751\) | 189.018 | + | 327.389i | 0.251688 | + | 0.435937i | 0.963991 | − | 0.265936i | \(-0.0856808\pi\) |
−0.712302 | + | 0.701873i | \(0.752347\pi\) | |||||||
\(752\) | 27.0964 | + | 101.125i | 0.0360325 | + | 0.134475i | ||||
\(753\) | −53.7286 | + | 2.60761i | −0.0713528 | + | 0.00346297i | ||||
\(754\) | 121.748 | + | 210.874i | 0.161470 | + | 0.279674i | ||||
\(755\) | 319.850 | + | 874.401i | 0.423642 | + | 1.15815i | ||||
\(756\) | 374.560 | + | 50.8817i | 0.495449 | + | 0.0673039i | ||||
\(757\) | −396.630 | + | 396.630i | −0.523950 | + | 0.523950i | −0.918762 | − | 0.394812i | \(-0.870810\pi\) |
0.394812 | + | 0.918762i | \(0.370810\pi\) | |||||||
\(758\) | −10.0992 | − | 2.70608i | −0.0133235 | − | 0.00357003i | ||||
\(759\) | −1429.04 | − | 1296.75i | −1.88280 | − | 1.70850i | ||||
\(760\) | 130.173 | − | 91.4607i | 0.171281 | − | 0.120343i | ||||
\(761\) | −668.395 | − | 1157.69i | −0.878312 | − | 1.52128i | −0.853193 | − | 0.521596i | \(-0.825337\pi\) |
−0.0251189 | − | 0.999684i | \(-0.507996\pi\) | |||||||
\(762\) | 97.1923 | + | 150.937i | 0.127549 | + | 0.198080i | ||||
\(763\) | 548.878 | + | 158.131i | 0.719368 | + | 0.207249i | ||||
\(764\) | −69.6904 | −0.0912178 | ||||||||
\(765\) | −746.560 | − | 262.183i | −0.975895 | − | 0.342723i | ||||
\(766\) | −202.221 | − | 116.753i | −0.263996 | − | 0.152418i | ||||
\(767\) | 89.9781 | − | 24.1096i | 0.117312 | − | 0.0314336i | ||||
\(768\) | 21.9567 | − | 42.6838i | 0.0285894 | − | 0.0555778i | ||||
\(769\) | 544.369 | 0.707892 | 0.353946 | − | 0.935266i | \(-0.384840\pi\) | ||||
0.353946 | + | 0.935266i | \(0.384840\pi\) | |||||||
\(770\) | 256.314 | + | 743.523i | 0.332876 | + | 0.965615i | ||||
\(771\) | 443.785 | + | 96.1235i | 0.575596 | + | 0.124674i | ||||
\(772\) | −374.234 | − | 100.276i | −0.484759 | − | 0.129891i | ||||
\(773\) | 976.322 | − | 261.605i | 1.26303 | − | 0.338428i | 0.435673 | − | 0.900105i | \(-0.356510\pi\) |
0.827356 | + | 0.561677i | \(0.189844\pi\) | |||||||
\(774\) | −208.703 | + | 149.181i | −0.269642 | + | 0.192740i | ||||
\(775\) | 353.100 | − | 979.936i | 0.455613 | − | 1.26443i | ||||
\(776\) | −303.068 | −0.390551 | ||||||||
\(777\) | 626.746 | − | 18.6774i | 0.806623 | − | 0.0240378i | ||||
\(778\) | 419.372 | + | 419.372i | 0.539038 | + | 0.539038i | ||||
\(779\) | −309.764 | − | 536.526i | −0.397643 | − | 0.688737i | ||||
\(780\) | −85.1586 | + | 209.414i | −0.109178 | + | 0.268479i | ||||
\(781\) | −276.298 | + | 478.562i | −0.353775 | + | 0.612756i | ||||
\(782\) | 972.385 | + | 260.550i | 1.24346 | + | 0.333184i | ||||
\(783\) | −610.399 | + | 89.4358i | −0.779565 | + | 0.114222i | ||||
\(784\) | 165.957 | + | 104.279i | 0.211680 | + | 0.133009i | ||||
\(785\) | −221.780 | + | 477.613i | −0.282522 | + | 0.608424i | ||||
\(786\) | −664.269 | + | 212.999i | −0.845127 | + | 0.270992i | ||||
\(787\) | 1334.51 | − | 357.582i | 1.69570 | − | 0.454361i | 0.723848 | − | 0.689959i | \(-0.242372\pi\) |
0.971850 | + | 0.235598i | \(0.0757050\pi\) | |||||||
\(788\) | 35.4453 | + | 132.284i | 0.0449814 | + | 0.167873i | ||||
\(789\) | −405.564 | − | 1264.81i | −0.514023 | − | 1.60305i | ||||
\(790\) | 300.356 | + | 139.470i | 0.380197 | + | 0.176545i | ||||
\(791\) | 287.493 | − | 477.117i | 0.363455 | − | 0.603182i | ||||
\(792\) | 378.711 | − | 142.025i | 0.478171 | − | 0.179324i | ||||
\(793\) | −32.7847 | + | 122.354i | −0.0413427 | + | 0.154293i | ||||
\(794\) | 370.109 | + | 213.683i | 0.466133 | + | 0.269122i | ||||
\(795\) | −849.566 | − | 345.478i | −1.06864 | − | 0.434564i | ||||
\(796\) | 106.743 | − | 61.6284i | 0.134100 | − | 0.0774226i | ||||
\(797\) | 141.441 | − | 141.441i | 0.177467 | − | 0.177467i | −0.612784 | − | 0.790251i | \(-0.709950\pi\) |
0.790251 | + | 0.612784i | \(0.209950\pi\) | |||||||
\(798\) | 284.228 | − | 175.590i | 0.356176 | − | 0.220038i | ||||
\(799\) | − | 460.217i | − | 0.575991i | ||||||
\(800\) | −60.1794 | − | 127.978i | −0.0752242 | − | 0.159973i | ||||
\(801\) | 983.050 | − | 702.683i | 1.22728 | − | 0.877257i | ||||
\(802\) | −136.149 | − | 508.114i | −0.169762 | − | 0.633559i | ||||
\(803\) | −241.851 | + | 902.600i | −0.301184 | + | 1.12403i | ||||
\(804\) | 136.448 | − | 629.953i | 0.169711 | − | 0.783524i | ||||
\(805\) | −929.190 | + | 1069.69i | −1.15427 | + | 1.32880i | ||||
\(806\) | 444.013i | 0.550884i | ||||||||
\(807\) | −164.747 | − | 84.7463i | −0.204147 | − | 0.105014i | ||||
\(808\) | 58.0438 | + | 216.622i | 0.0718364 | + | 0.268097i | ||||
\(809\) | −390.293 | + | 676.008i | −0.482439 | + | 0.835609i | −0.999797 | − | 0.0201600i | \(-0.993582\pi\) |
0.517357 | + | 0.855769i | \(0.326916\pi\) | |||||||
\(810\) | −413.437 | − | 396.383i | −0.510416 | − | 0.489362i | ||||
\(811\) | 168.301i | 0.207523i | 0.994602 | + | 0.103761i | \(0.0330879\pi\) | ||||
−0.994602 | + | 0.103761i | \(0.966912\pi\) | |||||||
\(812\) | −307.380 | − | 88.5558i | −0.378547 | − | 0.109059i | ||||
\(813\) | −291.781 | + | 187.885i | −0.358894 | + | 0.231101i | ||||
\(814\) | 581.040 | − | 335.464i | 0.713809 | − | 0.412118i | ||||
\(815\) | −586.266 | − | 834.415i | −0.719345 | − | 1.02382i | ||||
\(816\) | −141.793 | + | 156.259i | −0.173766 | + | 0.191493i | ||||
\(817\) | −58.6845 | + | 219.013i | −0.0718292 | + | 0.268070i | ||||
\(818\) | 296.588 | + | 296.588i | 0.362577 | + | 0.362577i | ||||
\(819\) | −204.489 | + | 428.441i | −0.249681 | + | 0.523127i | ||||
\(820\) | −517.201 | + | 189.189i | −0.630733 | + | 0.230718i | ||||
\(821\) | 129.218 | − | 74.6038i | 0.157390 | − | 0.0908694i | −0.419236 | − | 0.907877i | \(-0.637702\pi\) |
0.576627 | + | 0.817008i | \(0.304369\pi\) | |||||||
\(822\) | −7.36379 | − | 151.727i | −0.00895839 | − | 0.184583i | ||||
\(823\) | 200.514 | − | 53.7276i | 0.243638 | − | 0.0652826i | −0.134933 | − | 0.990855i | \(-0.543082\pi\) |
0.378572 | + | 0.925572i | \(0.376415\pi\) | |||||||
\(824\) | −122.325 | + | 70.6243i | −0.148453 | + | 0.0857091i | ||||
\(825\) | 349.148 | − | 1139.38i | 0.423210 | − | 1.38106i | ||||
\(826\) | −63.1587 | + | 104.817i | −0.0764633 | + | 0.126897i | ||||
\(827\) | 0.786280 | + | 0.786280i | 0.000950762 | + | 0.000950762i | 0.707582 | − | 0.706631i | \(-0.249786\pi\) |
−0.706631 | + | 0.707582i | \(0.749786\pi\) | |||||||
\(828\) | 562.740 | + | 462.946i | 0.679638 | + | 0.559114i | ||||
\(829\) | 476.073 | − | 824.582i | 0.574273 | − | 0.994671i | −0.421847 | − | 0.906667i | \(-0.638618\pi\) |
0.996120 | − | 0.0880036i | \(-0.0280487\pi\) | |||||||
\(830\) | 130.233 | − | 745.604i | 0.156908 | − | 0.898318i | ||||
\(831\) | 342.663 | + | 1068.64i | 0.412350 | + | 1.28597i | ||||
\(832\) | 42.6275 | + | 42.6275i | 0.0512350 | + | 0.0512350i | ||||
\(833\) | −586.029 | − | 631.597i | −0.703516 | − | 0.758219i | ||||
\(834\) | −26.1954 | + | 120.939i | −0.0314093 | + | 0.145011i | ||||
\(835\) | −105.633 | − | 1185.42i | −0.126506 | − | 1.41966i | ||||
\(836\) | 178.742 | − | 309.591i | 0.213807 | − | 0.370324i | ||||
\(837\) | −1045.48 | − | 415.292i | −1.24908 | − | 0.496167i | ||||
\(838\) | −771.156 | − | 206.631i | −0.920234 | − | 0.246576i | ||||
\(839\) | 774.304i | 0.922889i | 0.887169 | + | 0.461444i | \(0.152669\pi\) | ||||
−0.887169 | + | 0.461444i | \(0.847331\pi\) | |||||||
\(840\) | −110.286 | − | 275.748i | −0.131293 | − | 0.328271i | ||||
\(841\) | −318.935 | −0.379232 | ||||||||
\(842\) | −211.178 | + | 788.127i | −0.250805 | + | 0.936018i | ||||
\(843\) | −34.3536 | − | 707.840i | −0.0407516 | − | 0.839668i | ||||
\(844\) | −541.731 | − | 312.769i | −0.641861 | − | 0.370579i | ||||
\(845\) | 430.390 | + | 359.962i | 0.509337 | + | 0.425990i | ||||
\(846\) | 137.844 | − | 303.273i | 0.162937 | − | 0.358478i | ||||
\(847\) | 638.405 | + | 662.744i | 0.753725 | + | 0.782460i | ||||
\(848\) | −172.935 | + | 172.935i | −0.203932 | + | 0.203932i | ||||
\(849\) | 21.7268 | + | 67.7581i | 0.0255910 | + | 0.0798093i | ||||
\(850\) | 109.922 | + | 611.877i | 0.129320 | + | 0.719855i | ||||
\(851\) | 1046.81 | + | 604.377i | 1.23010 | + | 0.710197i | ||||
\(852\) | 95.4529 | − | 185.560i | 0.112034 | − | 0.217794i | ||||
\(853\) | 851.239 | − | 851.239i | 0.997936 | − | 0.997936i | −0.00206225 | − | 0.999998i | \(-0.500656\pi\) |
0.999998 | + | 0.00206225i | \(0.000656436\pi\) | |||||||
\(854\) | −80.4941 | − | 145.644i | −0.0942554 | − | 0.170544i | ||||
\(855\) | −504.767 | − | 38.4029i | −0.590371 | − | 0.0449156i | ||||
\(856\) | −261.106 | − | 452.249i | −0.305030 | − | 0.528328i | ||||
\(857\) | 1.41872 | + | 5.29472i | 0.00165545 | + | 0.00617821i | 0.966749 | − | 0.255729i | \(-0.0823154\pi\) |
−0.965093 | + | 0.261907i | \(0.915649\pi\) | |||||||
\(858\) | 24.6248 | + | 507.383i | 0.0287003 | + | 0.591355i | ||||
\(859\) | 146.680 | + | 254.057i | 0.170757 | + | 0.295759i | 0.938685 | − | 0.344777i | \(-0.112045\pi\) |
−0.767928 | + | 0.640536i | \(0.778712\pi\) | |||||||
\(860\) | 182.808 | + | 84.8870i | 0.212568 | + | 0.0987058i | ||||
\(861\) | −1107.69 | + | 332.468i | −1.28651 | + | 0.386142i | ||||
\(862\) | −511.932 | + | 511.932i | −0.593888 | + | 0.593888i | ||||
\(863\) | −192.472 | − | 51.5727i | −0.223026 | − | 0.0597597i | 0.145575 | − | 0.989347i | \(-0.453497\pi\) |
−0.368602 | + | 0.929587i | \(0.620163\pi\) | |||||||
\(864\) | −140.241 | + | 60.5010i | −0.162316 | + | 0.0700243i | ||||
\(865\) | 417.479 | + | 594.185i | 0.482634 | + | 0.686919i | ||||
\(866\) | 545.122 | + | 944.179i | 0.629471 | + | 1.09028i | ||||
\(867\) | 50.9031 | − | 32.7778i | 0.0587117 | − | 0.0378060i | ||||
\(868\) | −404.671 | − | 420.099i | −0.466211 | − | 0.483985i | ||||
\(869\) | 744.125 | 0.856300 | ||||||||
\(870\) | 297.546 | + | 382.617i | 0.342007 | + | 0.439790i | ||||
\(871\) | 701.065 | + | 404.760i | 0.804897 | + | 0.464708i | ||||
\(872\) | −222.936 | + | 59.7356i | −0.255661 | + | 0.0685041i | ||||
\(873\) | 744.731 | + | 612.663i | 0.853072 | + | 0.701791i | ||||
\(874\) | 644.051 | 0.736900 | ||||||||
\(875\) | −841.961 | − | 238.173i | −0.962241 | − | 0.272197i | ||||
\(876\) | 74.6980 | − | 344.867i | 0.0852717 | − | 0.393684i | ||||
\(877\) | 1095.80 | + | 293.618i | 1.24949 | + | 0.334799i | 0.822138 | − | 0.569289i | \(-0.192781\pi\) |
0.427348 | + | 0.904087i | \(0.359448\pi\) | |||||||
\(878\) | 370.238 | − | 99.2049i | 0.421683 | − | 0.112990i | ||||
\(879\) | −279.834 | − | 253.929i | −0.318355 | − | 0.288884i | ||||
\(880\) | −243.761 | − | 203.873i | −0.277001 | − | 0.231673i | ||||
\(881\) | 1261.20 | 1.43155 | 0.715775 | − | 0.698331i | \(-0.246073\pi\) | ||||
0.715775 | + | 0.698331i | \(0.246073\pi\) | |||||||
\(882\) | −197.004 | − | 591.736i | −0.223360 | − | 0.670903i | ||||
\(883\) | 887.974 | + | 887.974i | 1.00563 | + | 1.00563i | 0.999984 | + | 0.00564892i | \(0.00179812\pi\) |
0.00564892 | + | 0.999984i | \(0.498202\pi\) | |||||||
\(884\) | −132.502 | − | 229.500i | −0.149889 | − | 0.259615i | ||||
\(885\) | 170.848 | − | 72.0663i | 0.193049 | − | 0.0814309i | ||||
\(886\) | −80.8940 | + | 140.112i | −0.0913024 | + | 0.158140i | ||||
\(887\) | 1070.01 | + | 286.709i | 1.20633 | + | 0.323234i | 0.805320 | − | 0.592840i | \(-0.201994\pi\) |
0.401007 | + | 0.916075i | \(0.368660\pi\) | |||||||
\(888\) | −213.014 | + | 137.165i | −0.239881 | + | 0.154466i | ||||
\(889\) | 152.870 | − | 253.700i | 0.171957 | − | 0.285376i | ||||
\(890\) | −861.077 | − | 399.842i | −0.967503 | − | 0.449260i | ||||
\(891\) | −1217.72 | − | 416.581i | −1.36669 | − | 0.467543i | ||||
\(892\) | 352.066 | − | 94.3357i | 0.394692 | − | 0.105757i | ||||
\(893\) | −76.2051 | − | 284.401i | −0.0853361 | − | 0.318479i | ||||
\(894\) | 507.305 | − | 162.669i | 0.567456 | − | 0.181956i | ||||
\(895\) | −183.299 | − | 501.100i | −0.204803 | − | 0.559888i | ||||
\(896\) | −79.1821 | − | 1.48113i | −0.0883729 | − | 0.00165305i | ||||
\(897\) | −769.460 | + | 495.476i | −0.857815 | + | 0.552370i | ||||
\(898\) | 41.6586 | − | 155.472i | 0.0463905 | − | 0.173132i | ||||
\(899\) | 824.439 | + | 475.990i | 0.917063 | + | 0.529466i | ||||
\(900\) | −110.834 | + | 436.137i | −0.123149 | + | 0.484597i | ||||
\(901\) | 931.053 | − | 537.544i | 1.03335 | − | 0.596608i | ||||
\(902\) | −875.031 | + | 875.031i | −0.970101 | + | 0.970101i | ||||
\(903\) | 372.701 | + | 200.621i | 0.412736 | + | 0.222171i | ||||
\(904\) | 225.078i | 0.248980i | ||||||||
\(905\) | −65.0366 | − | 54.3941i | −0.0718637 | − | 0.0601040i | ||||
\(906\) | −585.062 | − | 530.901i | −0.645764 | − | 0.585984i | ||||
\(907\) | −14.3256 | − | 53.4639i | −0.0157945 | − | 0.0589458i | 0.957579 | − | 0.288171i | \(-0.0930473\pi\) |
−0.973373 | + | 0.229226i | \(0.926381\pi\) | |||||||
\(908\) | −195.886 | + | 731.055i | −0.215733 | + | 0.805127i | ||||
\(909\) | 295.279 | − | 649.646i | 0.324840 | − | 0.714683i | ||||
\(910\) | 372.073 | − | 26.1521i | 0.408871 | − | 0.0287386i | ||||
\(911\) | − | 1470.67i | − | 1.61434i | −0.590318 | − | 0.807171i | \(-0.700998\pi\) | ||
0.590318 | − | 0.807171i | \(-0.299002\pi\) | |||||||
\(912\) | −61.7503 | + | 120.042i | −0.0677086 | + | 0.131626i | ||||
\(913\) | −440.190 | − | 1642.81i | −0.482136 | − | 1.79936i | ||||
\(914\) | −487.633 | + | 844.605i | −0.533515 | + | 0.924075i | ||||
\(915\) | −31.2934 | + | 250.197i | −0.0342004 | + | 0.273439i | ||||
\(916\) | − | 315.722i | − | 0.344675i | ||||||
\(917\) | 798.484 | + | 828.926i | 0.870757 | + | 0.903954i | ||||
\(918\) | 664.313 | − | 97.3353i | 0.723653 | − | 0.106030i | ||||
\(919\) | −1399.94 | + | 808.253i | −1.52332 | + | 0.879492i | −0.523706 | + | 0.851899i | \(0.675451\pi\) |
−0.999619 | + | 0.0275926i | \(0.991216\pi\) | |||||||
\(920\) | 98.5092 | − | 563.978i | 0.107075 | − | 0.613020i | ||||
\(921\) | 250.226 | + | 227.062i | 0.271690 | + | 0.246539i | ||||
\(922\) | −71.6140 | + | 267.267i | −0.0776725 | + | 0.289878i | ||||
\(923\) | 185.316 | + | 185.316i | 0.200776 | + | 0.200776i | ||||
\(924\) | −485.724 | − | 457.612i | −0.525676 | − | 0.495252i | ||||
\(925\) | −62.6648 | + | 743.823i | −0.0677458 | + | 0.804133i | ||||
\(926\) | 829.234 | − | 478.759i | 0.895501 | − | 0.517018i | ||||
\(927\) | 443.360 | + | 73.7388i | 0.478274 | + | 0.0795456i | ||||
\(928\) | 124.848 | − | 33.4529i | 0.134534 | − | 0.0360484i | ||||
\(929\) | −535.418 | + | 309.124i | −0.576338 | + | 0.332749i | −0.759677 | − | 0.650301i | \(-0.774643\pi\) |
0.183339 | + | 0.983050i | \(0.441309\pi\) | |||||||
\(930\) | 121.031 | + | 875.510i | 0.130141 | + | 0.941409i | ||||
\(931\) | −466.733 | − | 293.272i | −0.501324 | − | 0.315007i | ||||
\(932\) | −129.993 | − | 129.993i | −0.139478 | − | 0.139478i | ||||
\(933\) | 146.601 | − | 284.992i | 0.157128 | − | 0.305458i | ||||
\(934\) | −73.1675 | + | 126.730i | −0.0783378 | + | 0.135685i | ||||
\(935\) | 803.081 | + | 1143.00i | 0.858910 | + | 1.22246i | ||||
\(936\) | −18.5758 | − | 190.922i | −0.0198460 | − | 0.203977i | ||||
\(937\) | −1196.22 | − | 1196.22i | −1.27665 | − | 1.27665i | −0.942529 | − | 0.334123i | \(-0.891560\pi\) |
−0.334123 | − | 0.942529i | \(-0.608440\pi\) | |||||||
\(938\) | −1032.20 | + | 255.987i | −1.10043 | + | 0.272907i | ||||
\(939\) | 395.236 | + | 85.6080i | 0.420912 | + | 0.0911693i | ||||
\(940\) | −260.698 | + | 23.2309i | −0.277339 | + | 0.0247137i | ||||
\(941\) | 539.372 | − | 934.221i | 0.573191 | − | 0.992795i | −0.423045 | − | 0.906109i | \(-0.639039\pi\) |
0.996236 | − | 0.0866867i | \(-0.0276279\pi\) | |||||||
\(942\) | −21.6605 | − | 446.304i | −0.0229942 | − | 0.473783i | ||||
\(943\) | −2153.50 | − | 577.029i | −2.28367 | − | 0.611908i | ||||
\(944\) | − | 49.4468i | − | 0.0523801i | ||||||
\(945\) | −286.427 | + | 900.547i | −0.303098 | + | 0.952959i | ||||
\(946\) | 452.903 | 0.478756 | ||||||||
\(947\) | −234.857 | + | 876.499i | −0.248001 | + | 0.925553i | 0.723850 | + | 0.689958i | \(0.242371\pi\) |
−0.971851 | + | 0.235596i | \(0.924296\pi\) | |||||||
\(948\) | −280.667 | + | 13.6216i | −0.296062 | + | 0.0143688i | ||||
\(949\) | 383.797 | + | 221.585i | 0.404423 | + | 0.233494i | ||||
\(950\) | 169.247 | + | 359.922i | 0.178154 | + | 0.378865i | ||||
\(951\) | 208.908 | − | 964.491i | 0.219672 | − | 1.01419i | ||||
\(952\) | 334.530 | + | 96.3776i | 0.351397 | + | 0.101237i | ||||
\(953\) | −114.472 | + | 114.472i | −0.120118 | + | 0.120118i | −0.764611 | − | 0.644493i | \(-0.777069\pi\) |
0.644493 | + | 0.764611i | \(0.277069\pi\) | |||||||
\(954\) | 774.549 | − | 75.3599i | 0.811896 | − | 0.0789936i | ||||
\(955\) | 29.9779 | − | 171.627i | 0.0313905 | − | 0.179715i | ||||
\(956\) | 133.917 | + | 77.3170i | 0.140080 | + | 0.0808755i | ||||
\(957\) | 968.502 | + | 498.201i | 1.01202 | + | 0.520586i | ||||
\(958\) | 196.387 | − | 196.387i | 0.204997 | − | 0.204997i | ||||
\(959\) | −219.360 | + | 121.235i | −0.228738 | + | 0.126418i | ||||
\(960\) | 95.6731 | + | 72.4338i | 0.0996595 | + | 0.0754519i | ||||
\(961\) | 387.463 | + | 671.105i | 0.403187 | + | 0.698341i | ||||
\(962\) | −82.3553 | − | 307.354i | −0.0856084 | − | 0.319495i | ||||
\(963\) | −272.620 | + | 1639.15i | −0.283095 | + | 1.70213i | ||||
\(964\) | 430.383 | + | 745.446i | 0.446456 | + | 0.773284i | ||||
\(965\) | 407.930 | − | 878.496i | 0.422725 | − | 0.910359i | ||||
\(966\) | 276.444 | − | 1170.07i | 0.286173 | − | 1.21125i | ||||
\(967\) | −77.6800 | + | 77.6800i | −0.0803309 | + | 0.0803309i | −0.746131 | − | 0.665800i | \(-0.768091\pi\) |
0.665800 | + | 0.746131i | \(0.268091\pi\) | |||||||
\(968\) | −359.152 | − | 96.2346i | −0.371025 | − | 0.0994159i | ||||
\(969\) | 398.775 | − | 439.457i | 0.411532 | − | 0.453516i | ||||
\(970\) | 130.367 | − | 746.369i | 0.134399 | − | 0.769453i | ||||
\(971\) | −110.567 | − | 191.508i | −0.113869 | − | 0.197228i | 0.803458 | − | 0.595362i | \(-0.202991\pi\) |
−0.917327 | + | 0.398134i | \(0.869658\pi\) | |||||||
\(972\) | 466.922 | + | 134.834i | 0.480372 | + | 0.138718i | ||||
\(973\) | 198.163 | − | 49.1447i | 0.203662 | − | 0.0505084i | ||||
\(974\) | 136.856 | 0.140509 | ||||||||
\(975\) | −479.094 | − | 299.802i | −0.491379 | − | 0.307490i | ||||
\(976\) | 58.2306 | + | 33.6195i | 0.0596625 | + | 0.0344462i | ||||
\(977\) | −210.297 | + | 56.3489i | −0.215248 | + | 0.0576755i | −0.364831 | − | 0.931074i | \(-0.618873\pi\) |
0.149584 | + | 0.988749i | \(0.452207\pi\) | |||||||
\(978\) | 769.476 | + | 395.821i | 0.786786 | + | 0.404725i | ||||
\(979\) | −2133.30 | −2.17906 | ||||||||
\(980\) | −328.198 | + | 363.849i | −0.334896 | + | 0.371274i | ||||
\(981\) | 668.581 | + | 303.886i | 0.681531 | + | 0.309771i | ||||
\(982\) | 74.9307 | + | 20.0776i | 0.0763042 | + | 0.0204456i | ||||
\(983\) | 785.442 | − | 210.459i | 0.799026 | − | 0.214098i | 0.163869 | − | 0.986482i | \(-0.447602\pi\) |
0.635156 | + | 0.772384i | \(0.280936\pi\) | |||||||
\(984\) | 314.024 | − | 346.060i | 0.319130 | − | 0.351687i | ||||
\(985\) | −341.024 | + | 30.3887i | −0.346217 | + | 0.0308515i | ||||
\(986\) | −568.177 | −0.576245 | ||||||||
\(987\) | −549.392 | + | 16.3722i | −0.556628 | + | 0.0165878i | ||||
\(988\) | −119.884 | − | 119.884i | −0.121340 | − | 0.121340i | ||||
\(989\) | 407.979 | + | 706.640i | 0.412517 | + | 0.714500i | ||||
\(990\) | 186.861 | + | 993.751i | 0.188748 | + | 1.00379i | ||||
\(991\) | −517.332 | + | 896.045i | −0.522030 | + | 0.904183i | 0.477641 | + | 0.878555i | \(0.341492\pi\) |
−0.999672 | + | 0.0256281i | \(0.991841\pi\) | |||||||
\(992\) | 227.659 | + | 61.0010i | 0.229495 | + | 0.0614929i | ||||
\(993\) | 894.901 | + | 1389.76i | 0.901210 | + | 1.39955i | ||||
\(994\) | −344.231 | − | 6.43897i | −0.346309 | − | 0.00647784i | ||||
\(995\) | 105.856 | + | 289.389i | 0.106388 | + | 0.290843i | ||||
\(996\) | 196.102 | + | 611.573i | 0.196890 | + | 0.614029i | ||||
\(997\) | 351.912 | − | 94.2945i | 0.352971 | − | 0.0945782i | −0.0779769 | − | 0.996955i | \(-0.524846\pi\) |
0.430948 | + | 0.902377i | \(0.358179\pi\) | |||||||
\(998\) | −261.086 | − | 974.385i | −0.261609 | − | 0.976338i | ||||
\(999\) | 800.727 | + | 93.5584i | 0.801529 | + | 0.0936521i |
(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 | 210.3.w.a.143.1 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.b.143.13 | yes | 64 | ||
5.2 | odd | 4 | 210.3.w.b.17.9 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.a.173.6 | yes | 64 | |
15.2 | even | 4 | inner | 210.3.w.a.17.6 | ✓ | 64 | |
21.5 | even | 6 | 210.3.w.b.173.9 | yes | 64 | ||
35.12 | even | 12 | 210.3.w.b.47.13 | yes | 64 | ||
105.47 | odd | 12 | inner | 210.3.w.a.47.1 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.6 | ✓ | 64 | 15.2 | even | 4 | inner | |
210.3.w.a.47.1 | yes | 64 | 105.47 | odd | 12 | inner | |
210.3.w.a.143.1 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.a.173.6 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.17.9 | yes | 64 | 5.2 | odd | 4 | ||
210.3.w.b.47.13 | yes | 64 | 35.12 | even | 12 | ||
210.3.w.b.143.13 | yes | 64 | 3.2 | odd | 2 | ||
210.3.w.b.173.9 | yes | 64 | 21.5 | even | 6 |