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 | 17.9 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.b.173.9 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | 0.145428 | + | 2.99647i | 0.0484760 | + | 0.998824i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −4.92543 | + | 0.860317i | −0.985086 | + | 0.172063i | ||||
\(6\) | −0.898127 | + | 4.14649i | −0.149688 | + | 0.691081i | ||||
\(7\) | 1.68496 | + | 6.79418i | 0.240709 | + | 0.970597i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | −8.95770 | + | 0.871542i | −0.995300 | + | 0.0968380i | ||||
\(10\) | −7.04316 | − | 0.627617i | −0.704316 | − | 0.0627617i | ||||
\(11\) | −13.7602 | − | 7.94448i | −1.25093 | − | 0.722225i | −0.279636 | − | 0.960106i | \(-0.590214\pi\) |
−0.971294 | + | 0.237881i | \(0.923547\pi\) | |||||||
\(12\) | −2.74458 | + | 5.33547i | −0.228715 | + | 0.444623i | ||||
\(13\) | 5.32844 | + | 5.32844i | 0.409880 | + | 0.409880i | 0.881697 | − | 0.471817i | \(-0.156402\pi\) |
−0.471817 | + | 0.881697i | \(0.656402\pi\) | |||||||
\(14\) | −0.185142 | + | 9.89776i | −0.0132244 | + | 0.706983i | ||||
\(15\) | −3.29421 | − | 14.6338i | −0.219614 | − | 0.975587i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 16.9844 | − | 4.55096i | 0.999083 | − | 0.267703i | 0.278021 | − | 0.960575i | \(-0.410321\pi\) |
0.721061 | + | 0.692872i | \(0.243655\pi\) | |||||||
\(18\) | −12.5555 | − | 2.08820i | −0.697525 | − | 0.116011i | ||||
\(19\) | 5.62474 | + | 9.74233i | 0.296039 | + | 0.512754i | 0.975226 | − | 0.221211i | \(-0.0710009\pi\) |
−0.679187 | + | 0.733965i | \(0.737668\pi\) | |||||||
\(20\) | −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 | ||||
\(23\) | −10.4778 | + | 39.1036i | −0.455556 | + | 1.70016i | 0.230893 | + | 0.972979i | \(0.425835\pi\) |
−0.686449 | + | 0.727178i | \(0.740832\pi\) | |||||||
\(24\) | −5.70209 | + | 6.28380i | −0.237587 | + | 0.261825i | ||||
\(25\) | 23.5197 | − | 8.47486i | 0.940788 | − | 0.338995i | ||||
\(26\) | 5.32844 | + | 9.22913i | 0.204940 | + | 0.354966i | ||||
\(27\) | −3.91425 | − | 26.7148i | −0.144972 | − | 0.989436i | ||||
\(28\) | −3.87574 | + | 13.4528i | −0.138419 | + | 0.480458i | ||||
\(29\) | −22.8488 | −0.787888 | −0.393944 | − | 0.919134i | \(-0.628890\pi\) | ||||
−0.393944 | + | 0.919134i | \(0.628890\pi\) | |||||||
\(30\) | 0.856366 | − | 21.1959i | 0.0285455 | − | 0.706530i | ||||
\(31\) | 36.0825 | + | 20.8322i | 1.16395 | + | 0.672007i | 0.952248 | − | 0.305327i | \(-0.0987658\pi\) |
0.211703 | + | 0.977334i | \(0.432099\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 21.8043 | − | 42.3875i | 0.660736 | − | 1.28447i | ||||
\(34\) | 24.8669 | 0.731379 | ||||||||
\(35\) | −14.1443 | − | 32.0147i | −0.404123 | − | 0.914705i | ||||
\(36\) | −16.3867 | − | 7.44815i | −0.455187 | − | 0.206893i | ||||
\(37\) | 7.72790 | − | 28.8409i | 0.208862 | − | 0.779484i | −0.779375 | − | 0.626557i | \(-0.784463\pi\) |
0.988238 | − | 0.152927i | \(-0.0488699\pi\) | |||||||
\(38\) | 4.11759 | + | 15.3671i | 0.108358 | + | 0.404396i | ||||
\(39\) | −15.1916 | + | 16.7414i | −0.389529 | + | 0.429267i | ||||
\(40\) | −11.5715 | − | 8.13022i | −0.289287 | − | 0.203256i | ||||
\(41\) | 55.0717 | 1.34321 | 0.671606 | − | 0.740909i | \(-0.265605\pi\) | ||||
0.671606 | + | 0.740909i | \(0.265605\pi\) | |||||||
\(42\) | −29.6853 | + | 0.884639i | −0.706793 | + | 0.0210628i | ||||
\(43\) | −14.2521 | + | 14.2521i | −0.331445 | + | 0.331445i | −0.853135 | − | 0.521690i | \(-0.825302\pi\) |
0.521690 | + | 0.853135i | \(0.325302\pi\) | |||||||
\(44\) | −15.8890 | − | 27.5205i | −0.361113 | − | 0.625465i | ||||
\(45\) | 43.3707 | − | 11.9992i | 0.963794 | − | 0.266648i | ||||
\(46\) | −28.6258 | + | 49.5814i | −0.622301 | + | 1.07786i | ||||
\(47\) | −6.77411 | + | 25.2813i | −0.144130 | + | 0.537900i | 0.855663 | + | 0.517534i | \(0.173150\pi\) |
−0.999793 | + | 0.0203662i | \(0.993517\pi\) | |||||||
\(48\) | −10.0892 | + | 6.49672i | −0.210192 | + | 0.135348i | ||||
\(49\) | −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 | ||||
\(52\) | 3.90069 | + | 14.5576i | 0.0750132 | + | 0.279953i | ||||
\(53\) | 59.0583 | − | 15.8246i | 1.11431 | − | 0.298578i | 0.345730 | − | 0.938334i | \(-0.387631\pi\) |
0.768578 | + | 0.639756i | \(0.220965\pi\) | |||||||
\(54\) | 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 | ||||
\(57\) | −28.3746 | + | 18.2712i | −0.497801 | + | 0.320547i | ||||
\(58\) | −31.2120 | − | 8.36322i | −0.538138 | − | 0.144194i | ||||
\(59\) | 10.7056 | + | 6.18085i | 0.181450 | + | 0.104760i | 0.587974 | − | 0.808880i | \(-0.299926\pi\) |
−0.406524 | + | 0.913640i | \(0.633259\pi\) | |||||||
\(60\) | 8.92806 | − | 28.6407i | 0.148801 | − | 0.477345i | ||||
\(61\) | 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 | ||||
\(63\) | −21.0148 | − | 59.3917i | −0.333568 | − | 0.942726i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −30.8290 | − | 21.6607i | −0.474292 | − | 0.333242i | ||||
\(66\) | 45.3001 | − | 49.9215i | 0.686366 | − | 0.756387i | ||||
\(67\) | 103.766 | − | 27.8041i | 1.54875 | − | 0.414987i | 0.619671 | − | 0.784862i | \(-0.287266\pi\) |
0.929082 | + | 0.369875i | \(0.120600\pi\) | |||||||
\(68\) | 33.9688 | + | 9.10191i | 0.499541 | + | 0.133852i | ||||
\(69\) | −118.697 | − | 25.7096i | −1.72024 | − | 0.372603i | ||||
\(70\) | −7.60331 | − | 48.9100i | −0.108619 | − | 0.698715i | ||||
\(71\) | − | 34.7786i | − | 0.489840i | −0.969543 | − | 0.244920i | \(-0.921238\pi\) | ||
0.969543 | − | 0.244920i | \(-0.0787617\pi\) | |||||||
\(72\) | −19.6585 | − | 16.1723i | −0.273035 | − | 0.224616i | ||||
\(73\) | −56.8067 | + | 15.2213i | −0.778175 | + | 0.208511i | −0.625980 | − | 0.779839i | \(-0.715301\pi\) |
−0.152195 | + | 0.988351i | \(0.548634\pi\) | |||||||
\(74\) | 21.1130 | − | 36.5688i | 0.285311 | − | 0.494173i | ||||
\(75\) | 28.8151 | + | 69.2437i | 0.384202 | + | 0.923249i | ||||
\(76\) | 22.4989i | 0.296039i | ||||||||
\(77\) | 30.7907 | − | 106.876i | 0.399880 | − | 1.38800i | ||||
\(78\) | −26.8799 | + | 17.3087i | −0.344614 | + | 0.221906i | ||||
\(79\) | 40.5584 | − | 23.4164i | 0.513398 | − | 0.296410i | −0.220831 | − | 0.975312i | \(-0.570877\pi\) |
0.734229 | + | 0.678902i | \(0.237544\pi\) | |||||||
\(80\) | −12.8311 | − | 15.3416i | −0.160389 | − | 0.191769i | ||||
\(81\) | 79.4808 | − | 15.6140i | 0.981245 | − | 0.192766i | ||||
\(82\) | 75.2293 | + | 20.1576i | 0.917431 | + | 0.245825i | ||||
\(83\) | 75.6892 | − | 75.6892i | 0.911918 | − | 0.911918i | −0.0845048 | − | 0.996423i | \(-0.526931\pi\) |
0.996423 | + | 0.0845048i | \(0.0269308\pi\) | |||||||
\(84\) | −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 | ||||
\(87\) | −3.32285 | − | 68.4657i | −0.0381936 | − | 0.786962i | ||||
\(88\) | −11.6315 | − | 43.4094i | −0.132176 | − | 0.493289i | ||||
\(89\) | −116.275 | + | 67.1315i | −1.30646 | + | 0.754286i | −0.981504 | − | 0.191442i | \(-0.938684\pi\) |
−0.324958 | + | 0.945728i | \(0.605350\pi\) | |||||||
\(90\) | 63.6375 | − | 0.516401i | 0.707084 | − | 0.00573779i | ||||
\(91\) | −27.2242 | + | 45.1806i | −0.299167 | + | 0.496490i | ||||
\(92\) | −57.2517 | + | 57.2517i | −0.622301 | + | 0.622301i | ||||
\(93\) | −57.1758 | + | 111.150i | −0.614793 | + | 1.19516i | ||||
\(94\) | −18.5072 | + | 32.0554i | −0.196885 | + | 0.341015i | ||||
\(95\) | −36.0857 | − | 43.1461i | −0.379850 | − | 0.454169i | ||||
\(96\) | −16.1601 | + | 5.18177i | −0.168334 | + | 0.0539768i | ||||
\(97\) | −75.7669 | + | 75.7669i | −0.781102 | + | 0.781102i | −0.980017 | − | 0.198915i | \(-0.936258\pi\) |
0.198915 | + | 0.980017i | \(0.436258\pi\) | |||||||
\(98\) | −67.5592 | + | 15.4195i | −0.689379 | + | 0.157342i | ||||
\(99\) | 130.184 | + | 59.1716i | 1.31499 | + | 0.597693i | ||||
\(100\) | 49.2122 | + | 8.84081i | 0.492122 | + | 0.0884081i | ||||
\(101\) | 39.6447 | − | 68.6665i | 0.392521 | − | 0.679867i | −0.600260 | − | 0.799805i | \(-0.704936\pi\) |
0.992781 | + | 0.119938i | \(0.0382696\pi\) | |||||||
\(102\) | 3.61634 | + | 74.5130i | 0.0354543 | + | 0.730519i | ||||
\(103\) | 12.9252 | − | 48.2373i | 0.125487 | − | 0.468323i | −0.874370 | − | 0.485260i | \(-0.838725\pi\) |
0.999857 | + | 0.0169370i | \(0.00539146\pi\) | |||||||
\(104\) | 21.3138i | 0.204940i | ||||||||
\(105\) | 93.8741 | − | 47.0389i | 0.894039 | − | 0.447989i | ||||
\(106\) | 86.4673 | 0.815730 | ||||||||
\(107\) | −178.339 | − | 47.7857i | −1.66672 | − | 0.446595i | −0.702494 | − | 0.711690i | \(-0.747930\pi\) |
−0.964223 | + | 0.265094i | \(0.914597\pi\) | |||||||
\(108\) | 19.9351 | − | 50.1856i | 0.184584 | − | 0.464681i | ||||
\(109\) | −70.6679 | − | 40.8002i | −0.648330 | − | 0.374313i | 0.139486 | − | 0.990224i | \(-0.455455\pi\) |
−0.787816 | + | 0.615911i | \(0.788788\pi\) | |||||||
\(110\) | 91.9295 | + | 64.5904i | 0.835722 | + | 0.587185i | ||||
\(111\) | 87.5449 | + | 18.9622i | 0.788692 | + | 0.170830i | ||||
\(112\) | −20.1658 | + | 19.4252i | −0.180052 | + | 0.173440i | ||||
\(113\) | −56.2695 | − | 56.2695i | −0.497960 | − | 0.497960i | 0.412842 | − | 0.910803i | \(-0.364536\pi\) |
−0.910803 | + | 0.412842i | \(0.864536\pi\) | |||||||
\(114\) | −45.4482 | + | 14.5731i | −0.398668 | + | 0.127834i | ||||
\(115\) | 17.9661 | − | 201.616i | 0.156227 | − | 1.75319i | ||||
\(116\) | −39.5752 | − | 22.8488i | −0.341166 | − | 0.196972i | ||||
\(117\) | −52.3745 | − | 43.0866i | −0.447645 | − | 0.368262i | ||||
\(118\) | 12.3617 | + | 12.3617i | 0.104760 | + | 0.104760i | ||||
\(119\) | 59.5381 | + | 107.727i | 0.500320 | + | 0.905268i | ||||
\(120\) | 22.6792 | − | 35.8560i | 0.188993 | − | 0.298800i | ||||
\(121\) | 65.7294 | + | 113.847i | 0.543218 | + | 0.940882i | ||||
\(122\) | 22.9625 | − | 6.15279i | 0.188217 | − | 0.0504327i | ||||
\(123\) | 8.00896 | + | 165.021i | 0.0651135 | + | 1.34163i | ||||
\(124\) | 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 | 0.815023 | − | 0.579429i | \(-0.196724\pi\) |
−0.579429 | + | 0.815023i | \(0.696724\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −44.7788 | − | 40.6335i | −0.347122 | − | 0.314988i | ||||
\(130\) | −34.1848 | − | 40.8733i | −0.262960 | − | 0.314410i | ||||
\(131\) | 82.2110 | + | 142.394i | 0.627565 | + | 1.08697i | 0.988039 | + | 0.154205i | \(0.0492816\pi\) |
−0.360474 | + | 0.932769i | \(0.617385\pi\) | |||||||
\(132\) | 80.1537 | − | 51.6131i | 0.607225 | − | 0.391008i | ||||
\(133\) | −56.7137 | + | 54.6309i | −0.426419 | + | 0.410759i | ||||
\(134\) | 151.925 | 1.13377 | ||||||||
\(135\) | 42.2625 | + | 128.214i | 0.313056 | + | 0.949735i | ||||
\(136\) | 43.0707 | + | 24.8669i | 0.316696 | + | 0.182845i | ||||
\(137\) | −9.26691 | − | 34.5846i | −0.0676417 | − | 0.252442i | 0.923823 | − | 0.382821i | \(-0.125047\pi\) |
−0.991464 | + | 0.130379i | \(0.958381\pi\) | |||||||
\(138\) | −152.732 | − | 78.5660i | −1.10676 | − | 0.569319i | ||||
\(139\) | −29.1666 | −0.209832 | −0.104916 | − | 0.994481i | \(-0.533457\pi\) | ||||
−0.104916 | + | 0.994481i | \(0.533457\pi\) | |||||||
\(140\) | 7.51599 | − | 69.5953i | 0.0536856 | − | 0.497109i | ||||
\(141\) | −76.7399 | − | 16.6218i | −0.544255 | − | 0.117885i | ||||
\(142\) | 12.7299 | − | 47.5085i | 0.0896469 | − | 0.334567i | ||||
\(143\) | −30.9889 | − | 115.652i | −0.216706 | − | 0.808757i | ||||
\(144\) | −20.9345 | − | 29.2873i | −0.145379 | − | 0.203384i | ||||
\(145\) | 112.540 | − | 19.6572i | 0.776137 | − | 0.135567i | ||||
\(146\) | −83.1709 | −0.569663 | ||||||||
\(147\) | −74.9071 | − | 126.483i | −0.509572 | − | 0.860428i | ||||
\(148\) | 42.2260 | − | 42.2260i | 0.285311 | − | 0.285311i | ||||
\(149\) | 62.7849 | + | 108.747i | 0.421375 | + | 0.729843i | 0.996074 | − | 0.0885216i | \(-0.0282142\pi\) |
−0.574699 | + | 0.818365i | \(0.694881\pi\) | |||||||
\(150\) | 14.0172 | + | 105.136i | 0.0934483 | + | 0.700905i | ||||
\(151\) | −93.1064 | + | 161.265i | −0.616599 | + | 1.06798i | 0.373503 | + | 0.927629i | \(0.378157\pi\) |
−0.990102 | + | 0.140352i | \(0.955177\pi\) | |||||||
\(152\) | −8.23519 | + | 30.7341i | −0.0541788 | + | 0.202198i | ||||
\(153\) | −148.175 | + | 55.5687i | −0.968463 | + | 0.363194i | ||||
\(154\) | 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 | ||||
\(157\) | −27.2585 | − | 101.730i | −0.173621 | − | 0.647962i | −0.996782 | − | 0.0801548i | \(-0.974459\pi\) |
0.823162 | − | 0.567807i | \(-0.192208\pi\) | |||||||
\(158\) | 63.9748 | − | 17.1420i | 0.404904 | − | 0.108494i | ||||
\(159\) | 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 | ||||
\(162\) | 114.288 | + | 7.76285i | 0.705481 | + | 0.0479188i | ||||
\(163\) | −197.007 | − | 52.7878i | −1.20863 | − | 0.323852i | −0.402406 | − | 0.915461i | \(-0.631826\pi\) |
−0.806225 | + | 0.591610i | \(0.798493\pi\) | |||||||
\(164\) | 95.3870 | + | 55.0717i | 0.581628 | + | 0.335803i | ||||
\(165\) | −70.9288 | + | 227.535i | −0.429871 | + | 1.37900i | ||||
\(166\) | 131.098 | − | 75.6892i | 0.789744 | − | 0.455959i | ||||
\(167\) | 168.308 | + | 168.308i | 1.00783 | + | 1.00783i | 0.999969 | + | 0.00786180i | \(0.00250252\pi\) |
0.00786180 | + | 0.999969i | \(0.497497\pi\) | |||||||
\(168\) | −52.3011 | − | 28.1531i | −0.311316 | − | 0.167578i | ||||
\(169\) | − | 112.215i | − | 0.663997i | ||||||
\(170\) | −122.480 | + | 21.3934i | −0.720471 | + | 0.125844i | ||||
\(171\) | −58.8756 | − | 82.3667i | −0.344301 | − | 0.481676i | ||||
\(172\) | −38.9375 | + | 10.4333i | −0.226381 | + | 0.0606586i | ||||
\(173\) | 140.288 | + | 37.5901i | 0.810914 | + | 0.217284i | 0.640370 | − | 0.768066i | \(-0.278781\pi\) |
0.170544 | + | 0.985350i | \(0.445448\pi\) | |||||||
\(174\) | 20.5211 | − | 94.7421i | 0.117937 | − | 0.544495i | ||||
\(175\) | 97.2096 | + | 145.517i | 0.555483 | + | 0.831528i | ||||
\(176\) | − | 63.5558i | − | 0.361113i | ||||||
\(177\) | −16.9639 | + | 32.9778i | −0.0958411 | + | 0.186315i | ||||
\(178\) | −183.407 | + | 49.1437i | −1.03037 | + | 0.276088i | ||||
\(179\) | −53.3572 | + | 92.4174i | −0.298085 | + | 0.516298i | −0.975698 | − | 0.219120i | \(-0.929681\pi\) |
0.677613 | + | 0.735419i | \(0.263015\pi\) | |||||||
\(180\) | 87.1195 | + | 22.5875i | 0.483997 | + | 0.125486i | ||||
\(181\) | − | 16.9570i | − | 0.0936850i | −0.998902 | − | 0.0468425i | \(-0.985084\pi\) | ||
0.998902 | − | 0.0468425i | \(-0.0149159\pi\) | |||||||
\(182\) | −53.7261 | + | 51.7531i | −0.295199 | + | 0.284358i | ||||
\(183\) | 27.3020 | + | 42.3993i | 0.149191 | + | 0.231690i | ||||
\(184\) | −99.1628 | + | 57.2517i | −0.538928 | + | 0.311150i | ||||
\(185\) | −13.2509 | + | 148.702i | −0.0716264 | + | 0.803796i | ||||
\(186\) | −118.787 | + | 130.906i | −0.638641 | + | 0.703793i | ||||
\(187\) | −269.864 | − | 72.3099i | −1.44313 | − | 0.386684i | ||||
\(188\) | −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 | \(0.304257\pi\) | |||||||
\(192\) | −23.9718 | + | 1.16342i | −0.124853 | + | 0.00605950i | ||||
\(193\) | −50.1378 | − | 187.117i | −0.259781 | − | 0.969517i | −0.965368 | − | 0.260893i | \(-0.915983\pi\) |
0.705586 | − | 0.708624i | \(-0.250684\pi\) | |||||||
\(194\) | −131.232 | + | 75.7669i | −0.676454 | + | 0.390551i | ||||
\(195\) | 60.4223 | − | 95.5283i | 0.309858 | − | 0.489889i | ||||
\(196\) | −97.9314 | − | 3.66498i | −0.499650 | − | 0.0186989i | ||||
\(197\) | 48.4192 | − | 48.4192i | 0.245783 | − | 0.245783i | −0.573455 | − | 0.819237i | \(-0.694397\pi\) |
0.819237 | + | 0.573455i | \(0.194397\pi\) | |||||||
\(198\) | 156.176 | + | 128.481i | 0.788770 | + | 0.648892i | ||||
\(199\) | 30.8142 | − | 53.3717i | 0.154845 | − | 0.268200i | −0.778157 | − | 0.628069i | \(-0.783845\pi\) |
0.933003 | + | 0.359870i | \(0.117179\pi\) | |||||||
\(200\) | 63.9891 | + | 30.0897i | 0.319946 | + | 0.150448i | ||||
\(201\) | 98.4048 | + | 306.890i | 0.489576 | + | 1.52681i | ||||
\(202\) | 79.2893 | − | 79.2893i | 0.392521 | − | 0.392521i | ||||
\(203\) | −38.4993 | − | 155.239i | −0.189652 | − | 0.764722i | ||||
\(204\) | −22.3336 | + | 103.110i | −0.109479 | + | 0.505443i | ||||
\(205\) | −271.252 | + | 47.3791i | −1.32318 | + | 0.231118i | ||||
\(206\) | 35.3122 | − | 61.1625i | 0.171418 | − | 0.296905i | ||||
\(207\) | 59.7764 | − | 359.410i | 0.288775 | − | 1.73628i | ||||
\(208\) | −7.80137 | + | 29.1151i | −0.0375066 | + | 0.139977i | ||||
\(209\) | − | 178.742i | − | 0.855227i | ||||||
\(210\) | 145.452 | − | 29.8960i | 0.692628 | − | 0.142362i | ||||
\(211\) | 312.769 | 1.48232 | 0.741158 | − | 0.671331i | \(-0.234277\pi\) | ||||
0.741158 | + | 0.671331i | \(0.234277\pi\) | |||||||
\(212\) | 118.117 | + | 31.6492i | 0.557154 | + | 0.149289i | ||||
\(213\) | 104.213 | − | 5.05779i | 0.489264 | − | 0.0237455i | ||||
\(214\) | −226.124 | − | 130.553i | −1.05666 | − | 0.610061i | ||||
\(215\) | 57.9365 | − | 82.4592i | 0.269472 | − | 0.383531i | ||||
\(216\) | 45.6010 | − | 61.2580i | 0.211116 | − | 0.283602i | ||||
\(217\) | −80.7403 | + | 280.252i | −0.372075 | + | 1.29149i | ||||
\(218\) | −81.6003 | − | 81.6003i | −0.374313 | − | 0.374313i | ||||
\(219\) | −53.8716 | − | 168.006i | −0.245989 | − | 0.767152i | ||||
\(220\) | 101.936 | + | 121.881i | 0.463347 | + | 0.554003i | ||||
\(221\) | 114.750 | + | 66.2508i | 0.519230 | + | 0.299778i | ||||
\(222\) | 112.648 | + | 57.9464i | 0.507423 | + | 0.261020i | ||||
\(223\) | 128.865 | + | 128.865i | 0.577870 | + | 0.577870i | 0.934316 | − | 0.356446i | \(-0.116012\pi\) |
−0.356446 | + | 0.934316i | \(0.616012\pi\) | |||||||
\(224\) | −34.6571 | + | 19.1542i | −0.154719 | + | 0.0855097i | ||||
\(225\) | −203.296 | + | 96.4137i | −0.903539 | + | 0.428505i | ||||
\(226\) | −56.2695 | − | 97.4616i | −0.248980 | − | 0.431246i | ||||
\(227\) | 365.528 | − | 97.9428i | 1.61025 | − | 0.431466i | 0.662135 | − | 0.749384i | \(-0.269650\pi\) |
0.948118 | + | 0.317918i | \(0.102984\pi\) | |||||||
\(228\) | −67.4175 | + | 3.27198i | −0.295691 | + | 0.0143508i | ||||
\(229\) | −78.9305 | − | 136.712i | −0.344675 | − | 0.596994i | 0.640620 | − | 0.767858i | \(-0.278677\pi\) |
−0.985295 | + | 0.170864i | \(0.945344\pi\) | |||||||
\(230\) | 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 | ||||
\(233\) | 23.7904 | − | 88.7869i | 0.102105 | − | 0.381060i | −0.895896 | − | 0.444264i | \(-0.853465\pi\) |
0.998001 | + | 0.0632042i | \(0.0201319\pi\) | |||||||
\(234\) | −55.7741 | − | 78.0278i | −0.238351 | − | 0.333452i | ||||
\(235\) | 11.6154 | − | 130.349i | 0.0494274 | − | 0.554677i | ||||
\(236\) | 12.3617 | + | 21.4111i | 0.0523801 | + | 0.0907250i | ||||
\(237\) | 76.0650 | + | 118.127i | 0.320949 | + | 0.498425i | ||||
\(238\) | 41.8998 | + | 168.950i | 0.176049 | + | 0.709875i | ||||
\(239\) | 77.3170 | 0.323502 | 0.161751 | − | 0.986832i | \(-0.448286\pi\) | ||||
0.161751 | + | 0.986832i | \(0.448286\pi\) | |||||||
\(240\) | 44.1046 | − | 40.6791i | 0.183769 | − | 0.169496i | ||||
\(241\) | −372.723 | − | 215.192i | −1.54657 | − | 0.892912i | −0.998400 | − | 0.0565436i | \(-0.981992\pi\) |
−0.548168 | − | 0.836368i | \(-0.684675\pi\) | |||||||
\(242\) | 48.1173 | + | 179.576i | 0.198832 | + | 0.742050i | ||||
\(243\) | 58.3457 | + | 235.891i | 0.240106 | + | 0.970747i | ||||
\(244\) | 33.6195 | 0.137785 | ||||||||
\(245\) | 193.681 | − | 150.043i | 0.790534 | − | 0.612419i | ||||
\(246\) | −49.4614 | + | 228.354i | −0.201062 | + | 0.928269i | ||||
\(247\) | −21.9403 | + | 81.8824i | −0.0888273 | + | 0.331508i | ||||
\(248\) | 30.5005 | + | 113.829i | 0.122986 | + | 0.458989i | ||||
\(249\) | 237.808 | + | 215.793i | 0.955052 | + | 0.866640i | ||||
\(250\) | −170.972 | + | 44.9284i | −0.683888 | + | 0.179714i | ||||
\(251\) | 17.9306 | 0.0714367 | 0.0357184 | − | 0.999362i | \(-0.488628\pi\) | ||||
0.0357184 | + | 0.999362i | \(0.488628\pi\) | |||||||
\(252\) | 22.9930 | − | 123.884i | 0.0912422 | − | 0.491604i | ||||
\(253\) | 454.834 | − | 454.834i | 1.79776 | − | 1.79776i | ||||
\(254\) | 29.9204 | + | 51.8237i | 0.117797 | + | 0.204030i | ||||
\(255\) | −122.548 | − | 233.555i | −0.480581 | − | 0.915900i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 39.1745 | − | 146.201i | 0.152430 | − | 0.568876i | −0.846882 | − | 0.531781i | \(-0.821523\pi\) |
0.999312 | − | 0.0370950i | \(-0.0118104\pi\) | |||||||
\(258\) | −46.2961 | − | 71.8965i | −0.179442 | − | 0.278669i | ||||
\(259\) | 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 | ||||
\(262\) | 60.1826 | + | 224.605i | 0.229705 | + | 0.857270i | ||||
\(263\) | 427.661 | − | 114.591i | 1.62609 | − | 0.435709i | 0.673306 | − | 0.739364i | \(-0.264874\pi\) |
0.952782 | + | 0.303655i | \(0.0982070\pi\) | |||||||
\(264\) | 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 | ||||
\(267\) | −218.067 | − | 338.653i | −0.816732 | − | 1.26836i | ||||
\(268\) | 207.533 | + | 55.6082i | 0.774376 | + | 0.207493i | ||||
\(269\) | −53.4816 | − | 30.8776i | −0.198817 | − | 0.114787i | 0.397287 | − | 0.917694i | \(-0.369952\pi\) |
−0.596103 | + | 0.802908i | \(0.703285\pi\) | |||||||
\(270\) | 10.8021 | + | 190.613i | 0.0400076 | + | 0.705974i | ||||
\(271\) | 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 | ||||
\(273\) | −139.342 | − | 75.0059i | −0.510409 | − | 0.274747i | ||||
\(274\) | − | 50.6354i | − | 0.184801i | ||||||
\(275\) | −390.965 | − | 70.2357i | −1.42169 | − | 0.255402i | ||||
\(276\) | −179.879 | − | 163.227i | −0.651736 | − | 0.591402i | ||||
\(277\) | 361.333 | − | 96.8189i | 1.30445 | − | 0.349527i | 0.461320 | − | 0.887234i | \(-0.347376\pi\) |
0.843132 | + | 0.537707i | \(0.180709\pi\) | |||||||
\(278\) | −39.8424 | − | 10.6757i | −0.143318 | − | 0.0384019i | ||||
\(279\) | −341.372 | − | 155.161i | −1.22356 | − | 0.556134i | ||||
\(280\) | 35.7407 | − | 92.3179i | 0.127645 | − | 0.329707i | ||||
\(281\) | 236.224i | 0.840656i | 0.907372 | + | 0.420328i | \(0.138085\pi\) | ||||
−0.907372 | + | 0.420328i | \(0.861915\pi\) | |||||||
\(282\) | −98.7446 | − | 50.7946i | −0.350158 | − | 0.180123i | ||||
\(283\) | −22.9106 | + | 6.13887i | −0.0809561 | + | 0.0216921i | −0.299070 | − | 0.954231i | \(-0.596676\pi\) |
0.218114 | + | 0.975923i | \(0.430010\pi\) | |||||||
\(284\) | 34.7786 | − | 60.2384i | 0.122460 | − | 0.212107i | ||||
\(285\) | 124.038 | − | 114.405i | 0.435222 | − | 0.401420i | ||||
\(286\) | − | 169.327i | − | 0.592051i | ||||||
\(287\) | 92.7937 | + | 374.167i | 0.323323 | + | 1.30372i | ||||
\(288\) | −17.8772 | − | 47.6698i | −0.0620735 | − | 0.165520i | ||||
\(289\) | 17.4774 | − | 10.0906i | 0.0604754 | − | 0.0349155i | ||||
\(290\) | 160.927 | + | 14.3403i | 0.554922 | + | 0.0494492i | ||||
\(291\) | −238.052 | − | 216.015i | −0.818049 | − | 0.742319i | ||||
\(292\) | −113.613 | − | 30.4426i | −0.389087 | − | 0.104256i | ||||
\(293\) | 89.0653 | − | 89.0653i | 0.303977 | − | 0.303977i | −0.538591 | − | 0.842568i | \(-0.681043\pi\) |
0.842568 | + | 0.538591i | \(0.181043\pi\) | |||||||
\(294\) | −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 | ||||
\(297\) | −158.374 | + | 398.698i | −0.533245 | + | 1.34242i | ||||
\(298\) | 45.9617 | + | 171.532i | 0.154234 | + | 0.575609i | ||||
\(299\) | −264.191 | + | 152.531i | −0.883583 | + | 0.510137i | ||||
\(300\) | −19.3344 | + | 148.749i | −0.0644481 | + | 0.495829i | ||||
\(301\) | −120.846 | − | 72.8172i | −0.401481 | − | 0.241918i | ||||
\(302\) | −186.213 | + | 186.213i | −0.616599 | + | 0.616599i | ||||
\(303\) | 211.523 | + | 108.808i | 0.698095 | + | 0.359103i | ||||
\(304\) | −22.4989 | + | 38.9693i | −0.0740097 | + | 0.128189i | ||||
\(305\) | −64.4718 | + | 53.9218i | −0.211383 | + | 0.176793i | ||||
\(306\) | −222.750 | + | 21.6725i | −0.727942 | + | 0.0708253i | ||||
\(307\) | 79.6418 | − | 79.6418i | 0.259419 | − | 0.259419i | −0.565398 | − | 0.824818i | \(-0.691278\pi\) |
0.824818 | + | 0.565398i | \(0.191278\pi\) | |||||||
\(308\) | 160.207 | − | 154.323i | 0.520152 | − | 0.501050i | ||||
\(309\) | 146.422 | + | 31.7148i | 0.473856 | + | 0.102637i | ||||
\(310\) | −241.060 | − | 169.371i | −0.777613 | − | 0.546357i | ||||
\(311\) | −53.4146 | + | 92.5167i | −0.171751 | + | 0.297481i | −0.939032 | − | 0.343829i | \(-0.888276\pi\) |
0.767281 | + | 0.641311i | \(0.221609\pi\) | |||||||
\(312\) | −63.8661 | + | 3.09962i | −0.204699 | + | 0.00993466i | ||||
\(313\) | −34.8889 | + | 130.207i | −0.111466 | + | 0.415998i | −0.998998 | − | 0.0447483i | \(-0.985751\pi\) |
0.887532 | + | 0.460746i | \(0.152418\pi\) | |||||||
\(314\) | − | 148.943i | − | 0.474341i | ||||||
\(315\) | 154.603 | + | 274.450i | 0.490802 | + | 0.871271i | ||||
\(316\) | 93.6657 | 0.296410 | ||||||||
\(317\) | −317.743 | − | 85.1391i | −1.00235 | − | 0.268578i | −0.279917 | − | 0.960024i | \(-0.590307\pi\) |
−0.722428 | + | 0.691447i | \(0.756974\pi\) | |||||||
\(318\) | 12.5748 | + | 259.097i | 0.0395433 | + | 0.814771i | ||||
\(319\) | 314.404 | + | 181.521i | 0.985593 | + | 0.569033i | ||||
\(320\) | −6.88254 | − | 39.4034i | −0.0215079 | − | 0.123136i | ||||
\(321\) | 117.253 | − | 541.336i | 0.365275 | − | 1.68641i | ||||
\(322\) | −385.098 | − | 110.946i | −1.19596 | − | 0.344554i | ||||
\(323\) | 139.870 | + | 139.870i | 0.433033 | + | 0.433033i | ||||
\(324\) | 153.279 | + | 52.4365i | 0.473083 | + | 0.161841i | ||||
\(325\) | 170.481 | + | 80.1655i | 0.524557 | + | 0.246663i | ||||
\(326\) | −249.795 | − | 144.219i | −0.766241 | − | 0.442390i | ||||
\(327\) | 111.979 | − | 217.688i | 0.342445 | − | 0.665713i | ||||
\(328\) | 110.143 | + | 110.143i | 0.335803 | + | 0.335803i | ||||
\(329\) | −183.180 | − | 3.42645i | −0.556778 | − | 0.0104148i | ||||
\(330\) | −180.174 | + | 284.857i | −0.545982 | + | 0.863204i | ||||
\(331\) | −275.493 | − | 477.168i | −0.832305 | − | 1.44160i | −0.896206 | − | 0.443639i | \(-0.853687\pi\) |
0.0639004 | − | 0.997956i | \(-0.479646\pi\) | |||||||
\(332\) | 206.787 | − | 55.4084i | 0.622852 | − | 0.166893i | ||||
\(333\) | −44.0882 | + | 265.083i | −0.132397 | + | 0.796046i | ||||
\(334\) | 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 | 0.917227 | − | 0.398366i | \(-0.130423\pi\) |
−0.398366 | + | 0.917227i | \(0.630423\pi\) | |||||||
\(338\) | 41.0737 | − | 153.289i | 0.121520 | − | 0.453518i | ||||
\(339\) | 160.427 | − | 176.793i | 0.473236 | − | 0.521514i | ||||
\(340\) | −175.141 | − | 15.6069i | −0.515122 | − | 0.0459026i | ||||
\(341\) | −331.002 | − | 573.313i | −0.970681 | − | 1.68127i | ||||
\(342\) | −50.2772 | − | 134.065i | −0.147009 | − | 0.392003i | ||||
\(343\) | −228.554 | − | 255.758i | −0.666339 | − | 0.745649i | ||||
\(344\) | −57.0085 | −0.165722 | ||||||||
\(345\) | 606.751 | + | 24.5142i | 1.75870 | + | 0.0710556i | ||||
\(346\) | 177.878 | + | 102.698i | 0.514099 | + | 0.296815i | ||||
\(347\) | 32.4333 | + | 121.043i | 0.0934678 | + | 0.348827i | 0.996783 | − | 0.0801515i | \(-0.0255404\pi\) |
−0.903315 | + | 0.428978i | \(0.858874\pi\) | |||||||
\(348\) | 62.7103 | − | 121.909i | 0.180202 | − | 0.350313i | ||||
\(349\) | 82.2163 | 0.235577 | 0.117788 | − | 0.993039i | \(-0.462420\pi\) | ||||
0.117788 | + | 0.993039i | \(0.462420\pi\) | |||||||
\(350\) | 79.5277 | + | 234.362i | 0.227222 | + | 0.669604i | ||||
\(351\) | 121.491 | − | 163.205i | 0.346129 | − | 0.464971i | ||||
\(352\) | 23.2630 | − | 86.8189i | 0.0660882 | − | 0.246644i | ||||
\(353\) | 108.630 | + | 405.413i | 0.307734 | + | 1.14848i | 0.930566 | + | 0.366124i | \(0.119315\pi\) |
−0.622832 | + | 0.782356i | \(0.714018\pi\) | |||||||
\(354\) | −35.2438 | + | 38.8393i | −0.0995587 | + | 0.109715i | ||||
\(355\) | 29.9207 | + | 171.300i | 0.0842836 | + | 0.482534i | ||||
\(356\) | −268.526 | −0.754286 | ||||||||
\(357\) | −314.142 | + | 194.071i | −0.879950 | + | 0.543616i | ||||
\(358\) | −106.714 | + | 106.714i | −0.298085 | + | 0.298085i | ||||
\(359\) | 222.108 | + | 384.703i | 0.618687 | + | 1.07160i | 0.989726 | + | 0.142979i | \(0.0456683\pi\) |
−0.371039 | + | 0.928617i | \(0.620998\pi\) | |||||||
\(360\) | 110.740 | + | 62.7431i | 0.307611 | + | 0.174286i | ||||
\(361\) | 117.225 | − | 203.039i | 0.324722 | − | 0.562435i | ||||
\(362\) | 6.20669 | − | 23.1637i | 0.0171455 | − | 0.0639880i | ||||
\(363\) | −331.580 | + | 213.513i | −0.913443 | + | 0.588190i | ||||
\(364\) | −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 | ||||
\(367\) | 144.420 | + | 538.984i | 0.393516 | + | 1.46862i | 0.824293 | + | 0.566163i | \(0.191573\pi\) |
−0.430777 | + | 0.902458i | \(0.641761\pi\) | |||||||
\(368\) | −156.414 | + | 41.9111i | −0.425039 | + | 0.113889i | ||||
\(369\) | −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 | ||||
\(372\) | −210.181 | + | 135.341i | −0.565003 | + | 0.363820i | ||||
\(373\) | 297.089 | + | 79.6048i | 0.796485 | + | 0.213418i | 0.634040 | − | 0.773300i | \(-0.281395\pi\) |
0.162445 | + | 0.986718i | \(0.448062\pi\) | |||||||
\(374\) | −342.174 | − | 197.554i | −0.914905 | − | 0.528220i | ||||
\(375\) | −201.498 | − | 316.265i | −0.537329 | − | 0.843373i | ||||
\(376\) | −64.1108 | + | 37.0144i | −0.170507 | + | 0.0984425i | ||||
\(377\) | −121.748 | − | 121.748i | −0.322939 | − | 0.322939i | ||||
\(378\) | 265.141 | − | 33.7963i | 0.701432 | − | 0.0894083i | ||||
\(379\) | 7.39316i | 0.0195070i | 0.999952 | + | 0.00975351i | \(0.00310469\pi\) | ||||
−0.999952 | + | 0.00975351i | \(0.996895\pi\) | |||||||
\(380\) | −19.3562 | − | 110.817i | −0.0509374 | − | 0.291624i | ||||
\(381\) | −85.3045 | + | 94.0070i | −0.223896 | + | 0.246738i | ||||
\(382\) | 47.5994 | − | 12.7542i | 0.124606 | − | 0.0333880i | ||||
\(383\) | −159.487 | − | 42.7344i | −0.416415 | − | 0.111578i | 0.0445273 | − | 0.999008i | \(-0.485822\pi\) |
−0.460942 | + | 0.887430i | \(0.652488\pi\) | |||||||
\(384\) | −33.1719 | − | 7.18502i | −0.0863852 | − | 0.0187110i | ||||
\(385\) | −59.7106 | + | 552.898i | −0.155092 | + | 1.43610i | ||||
\(386\) | − | 273.958i | − | 0.709736i | ||||||
\(387\) | 115.245 | − | 140.088i | 0.297791 | − | 0.361984i | ||||
\(388\) | −206.999 | + | 55.4652i | −0.533503 | + | 0.142952i | ||||
\(389\) | 209.686 | − | 363.187i | 0.539038 | − | 0.933641i | −0.459918 | − | 0.887961i | \(-0.652121\pi\) |
0.998956 | − | 0.0456801i | \(-0.0145455\pi\) | |||||||
\(390\) | 117.504 | − | 108.378i | 0.301293 | − | 0.277892i | ||||
\(391\) | 711.835i | 1.82055i | ||||||||
\(392\) | −132.435 | − | 40.8518i | −0.337845 | − | 0.104214i | ||||
\(393\) | −414.723 | + | 267.051i | −1.05527 | + | 0.679519i | ||||
\(394\) | 83.8645 | − | 48.4192i | 0.212854 | − | 0.122891i | ||||
\(395\) | −179.622 | + | 150.229i | −0.454739 | + | 0.380327i | ||||
\(396\) | 166.314 | + | 232.672i | 0.419984 | + | 0.587556i | ||||
\(397\) | −291.896 | − | 78.2133i | −0.735255 | − | 0.197011i | −0.128287 | − | 0.991737i | \(-0.540948\pi\) |
−0.606968 | + | 0.794726i | \(0.707614\pi\) | |||||||
\(398\) | 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 | \(0.179820\pi\) | |||||||
\(402\) | 22.0941 | + | 455.238i | 0.0549604 | + | 1.13243i | ||||
\(403\) | 81.2600 | + | 303.266i | 0.201638 | + | 0.752522i | ||||
\(404\) | 137.333 | − | 79.2893i | 0.339933 | − | 0.196261i | ||||
\(405\) | −378.044 | + | 145.284i | −0.933442 | + | 0.358727i | ||||
\(406\) | 4.23026 | − | 226.152i | 0.0104193 | − | 0.557024i | ||||
\(407\) | −335.464 | + | 335.464i | −0.824235 | + | 0.824235i | ||||
\(408\) | −68.2493 | + | 132.677i | −0.167278 | + | 0.325188i | ||||
\(409\) | 148.294 | − | 256.853i | 0.362577 | − | 0.628001i | −0.625807 | − | 0.779978i | \(-0.715230\pi\) |
0.988384 | + | 0.151976i | \(0.0485637\pi\) | |||||||
\(410\) | −387.879 | − | 34.5639i | −0.946045 | − | 0.0843023i | ||||
\(411\) | 102.284 | − | 32.7976i | 0.248866 | − | 0.0797996i | ||||
\(412\) | 70.6243 | − | 70.6243i | 0.171418 | − | 0.171418i | ||||
\(413\) | −23.9554 | + | 83.1500i | −0.0580033 | + | 0.201332i | ||||
\(414\) | 213.209 | − | 469.084i | 0.514998 | − | 1.13305i | ||||
\(415\) | −307.685 | + | 437.919i | −0.741410 | + | 1.05523i | ||||
\(416\) | −21.3138 | + | 36.9165i | −0.0512350 | + | 0.0887416i | ||||
\(417\) | −4.24165 | − | 87.3971i | −0.0101718 | − | 0.209585i | ||||
\(418\) | 65.4242 | − | 244.167i | 0.156517 | − | 0.584131i | ||||
\(419\) | 564.525i | 1.34732i | 0.739044 | + | 0.673658i | \(0.235278\pi\) | ||||
−0.739044 | + | 0.673658i | \(0.764722\pi\) | |||||||
\(420\) | 209.634 | + | 12.4003i | 0.499128 | + | 0.0295246i | ||||
\(421\) | −576.949 | −1.37043 | −0.685213 | − | 0.728343i | \(-0.740291\pi\) | ||||
−0.685213 | + | 0.728343i | \(0.740291\pi\) | |||||||
\(422\) | 427.250 | + | 114.481i | 1.01244 | + | 0.271283i | ||||
\(423\) | 38.6467 | − | 232.366i | 0.0913633 | − | 0.549329i | ||||
\(424\) | 149.766 | + | 86.4673i | 0.353221 | + | 0.203932i | ||||
\(425\) | 360.899 | − | 250.978i | 0.849175 | − | 0.590536i | ||||
\(426\) | 144.209 | + | 31.2356i | 0.338519 | + | 0.0733231i | ||||
\(427\) | 81.6333 | + | 84.7454i | 0.191179 | + | 0.198467i | ||||
\(428\) | −261.106 | − | 261.106i | −0.610061 | − | 0.610061i | ||||
\(429\) | 342.042 | − | 109.677i | 0.797301 | − | 0.255656i | ||||
\(430\) | 109.325 | − | 91.4351i | 0.254244 | − | 0.212640i | ||||
\(431\) | −443.346 | − | 255.966i | −1.02864 | − | 0.593888i | −0.112048 | − | 0.993703i | \(-0.535741\pi\) |
−0.916596 | + | 0.399815i | \(0.869075\pi\) | |||||||
\(432\) | 84.7142 | − | 66.9889i | 0.196098 | − | 0.155067i | ||||
\(433\) | 545.122 | + | 545.122i | 1.25894 | + | 1.25894i | 0.951599 | + | 0.307343i | \(0.0994400\pi\) |
0.307343 | + | 0.951599i | \(0.400560\pi\) | |||||||
\(434\) | −212.873 | + | 353.279i | −0.490490 | + | 0.814006i | ||||
\(435\) | 75.2686 | + | 334.364i | 0.173031 | + | 0.768653i | ||||
\(436\) | −81.6003 | − | 141.336i | −0.187157 | − | 0.324165i | ||||
\(437\) | −439.895 | + | 117.869i | −1.00662 | + | 0.269724i | ||||
\(438\) | −12.0954 | − | 249.219i | −0.0276150 | − | 0.568994i | ||||
\(439\) | −135.516 | − | 234.721i | −0.308693 | − | 0.534673i | 0.669383 | − | 0.742917i | \(-0.266558\pi\) |
−0.978077 | + | 0.208245i | \(0.933225\pi\) | |||||||
\(440\) | 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 | ||||
\(443\) | −29.6092 | + | 110.503i | −0.0668380 | + | 0.249443i | −0.991259 | − | 0.131931i | \(-0.957882\pi\) |
0.924421 | + | 0.381374i | \(0.124549\pi\) | |||||||
\(444\) | 132.670 | + | 120.388i | 0.298806 | + | 0.271145i | ||||
\(445\) | 514.951 | − | 430.685i | 1.15719 | − | 0.967831i | ||||
\(446\) | 128.865 | + | 223.201i | 0.288935 | + | 0.500450i | ||||
\(447\) | −316.726 | + | 203.948i | −0.708559 | + | 0.456260i | ||||
\(448\) | −54.3535 | + | 13.4797i | −0.121325 | + | 0.0300886i | ||||
\(449\) | −113.813 | −0.253482 | −0.126741 | − | 0.991936i | \(-0.540452\pi\) | ||||
−0.126741 | + | 0.991936i | \(0.540452\pi\) | |||||||
\(450\) | −312.998 | + | 57.2919i | −0.695551 | + | 0.127315i | ||||
\(451\) | −757.799 | − | 437.516i | −1.68026 | − | 0.970101i | ||||
\(452\) | −41.1921 | − | 153.731i | −0.0911330 | − | 0.340113i | ||||
\(453\) | −496.767 | − | 255.538i | −1.09662 | − | 0.564103i | ||||
\(454\) | 535.169 | 1.17879 | ||||||||
\(455\) | 95.2210 | − | 245.955i | 0.209277 | − | 0.540561i | ||||
\(456\) | −93.2916 | − | 20.2069i | −0.204587 | − | 0.0443134i | ||||
\(457\) | 178.486 | − | 666.119i | 0.390560 | − | 1.45759i | −0.438652 | − | 0.898657i | \(-0.644544\pi\) |
0.829212 | − | 0.558934i | \(-0.188789\pi\) | |||||||
\(458\) | −57.7812 | − | 215.642i | −0.126160 | − | 0.470835i | ||||
\(459\) | −188.059 | − | 435.921i | −0.409715 | − | 0.949718i | ||||
\(460\) | 232.734 | − | 331.244i | 0.505944 | − | 0.720095i | ||||
\(461\) | −195.653 | −0.424410 | −0.212205 | − | 0.977225i | \(-0.568065\pi\) | ||||
−0.212205 | + | 0.977225i | \(0.568065\pi\) | |||||||
\(462\) | 415.505 | + | 223.661i | 0.899361 | + | 0.484116i | ||||
\(463\) | 478.759 | − | 478.759i | 1.03404 | − | 1.03404i | 0.0346360 | − | 0.999400i | \(-0.488973\pi\) |
0.999400 | − | 0.0346360i | \(-0.0110272\pi\) | |||||||
\(464\) | −45.6975 | − | 79.1504i | −0.0984860 | − | 0.170583i | ||||
\(465\) | 185.991 | − | 596.649i | 0.399981 | − | 1.28312i | ||||
\(466\) | 64.9965 | − | 112.577i | 0.139478 | − | 0.241582i | ||||
\(467\) | 26.7812 | − | 99.9487i | 0.0573472 | − | 0.214023i | −0.931306 | − | 0.364237i | \(-0.881330\pi\) |
0.988653 | + | 0.150214i | \(0.0479964\pi\) | |||||||
\(468\) | −47.6287 | − | 127.003i | −0.101771 | − | 0.271373i | ||||
\(469\) | 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 | ||||
\(472\) | 9.04940 | + | 33.7728i | 0.0191724 | + | 0.0715526i | ||||
\(473\) | 309.338 | − | 82.8870i | 0.653992 | − | 0.175237i | ||||
\(474\) | 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 | ||||
\(477\) | −515.235 | + | 193.224i | −1.08016 | + | 0.405082i | ||||
\(478\) | 105.617 | + | 28.3000i | 0.220956 | + | 0.0592050i | ||||
\(479\) | −170.076 | − | 98.1933i | −0.355064 | − | 0.204997i | 0.311849 | − | 0.950132i | \(-0.399052\pi\) |
−0.666914 | + | 0.745135i | \(0.732385\pi\) | |||||||
\(480\) | 75.1375 | − | 39.4253i | 0.156537 | − | 0.0821360i | ||||
\(481\) | 194.855 | − | 112.499i | 0.405103 | − | 0.233886i | ||||
\(482\) | −430.383 | − | 430.383i | −0.892912 | − | 0.892912i | ||||
\(483\) | −25.3235 | − | 849.766i | −0.0524297 | − | 1.75935i | ||||
\(484\) | 262.918i | 0.543218i | ||||||||
\(485\) | 308.001 | − | 438.368i | 0.635054 | − | 0.903852i | ||||
\(486\) | −6.64051 | + | 343.590i | −0.0136636 | + | 0.706975i | ||||
\(487\) | −93.4744 | + | 25.0464i | −0.191939 | + | 0.0514299i | −0.353508 | − | 0.935431i | \(-0.615011\pi\) |
0.161569 | + | 0.986861i | \(0.448345\pi\) | |||||||
\(488\) | 45.9250 | + | 12.3056i | 0.0941087 | + | 0.0252163i | ||||
\(489\) | 129.527 | − | 598.002i | 0.264881 | − | 1.22291i | ||||
\(490\) | 319.492 | − | 134.070i | 0.652025 | − | 0.273612i | ||||
\(491\) | 54.8531i | 0.111717i | 0.998439 | + | 0.0558585i | \(0.0177896\pi\) | ||||
−0.998439 | + | 0.0558585i | \(0.982210\pi\) | |||||||
\(492\) | −151.149 | + | 293.833i | −0.307213 | + | 0.597222i | ||||
\(493\) | −388.072 | + | 103.984i | −0.787165 | + | 0.210920i | ||||
\(494\) | −59.9421 | + | 103.823i | −0.121340 | + | 0.210168i | ||||
\(495\) | −692.119 | − | 179.446i | −1.39822 | − | 0.362517i | ||||
\(496\) | 166.658i | 0.336004i | ||||||||
\(497\) | 236.292 | − | 58.6007i | 0.475437 | − | 0.117909i | ||||
\(498\) | 245.866 | + | 381.823i | 0.493707 | + | 0.766713i | ||||
\(499\) | −617.735 | + | 356.650i | −1.23795 | + | 0.714729i | −0.968674 | − | 0.248335i | \(-0.920117\pi\) |
−0.269272 | + | 0.963064i | \(0.586783\pi\) | |||||||
\(500\) | −249.997 | − | 1.20671i | −0.499994 | − | 0.00241343i | ||||
\(501\) | −479.853 | + | 528.806i | −0.957790 | + | 1.05550i | ||||
\(502\) | 24.4937 | + | 6.56306i | 0.0487922 | + | 0.0130738i | ||||
\(503\) | 662.424 | − | 662.424i | 1.31695 | − | 1.31695i | 0.400767 | − | 0.916180i | \(-0.368744\pi\) |
0.916180 | − | 0.400767i | \(-0.131256\pi\) | |||||||
\(504\) | 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 | ||||
\(507\) | 336.251 | − | 16.3193i | 0.663216 | − | 0.0321879i | ||||
\(508\) | 21.9033 | + | 81.7441i | 0.0431167 | + | 0.160914i | ||||
\(509\) | 330.632 | − | 190.890i | 0.649572 | − | 0.375030i | −0.138721 | − | 0.990332i | \(-0.544299\pi\) |
0.788292 | + | 0.615301i | \(0.210966\pi\) | |||||||
\(510\) | −81.9168 | − | 363.897i | −0.160621 | − | 0.713524i | ||||
\(511\) | −199.134 | − | 360.308i | −0.389694 | − | 0.705104i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 238.247 | − | 188.397i | 0.464420 | − | 0.367246i | ||||
\(514\) | 107.027 | − | 185.376i | 0.208223 | − | 0.360653i | ||||
\(515\) | −22.1625 | + | 248.709i | −0.0430340 | + | 0.482931i | ||||
\(516\) | −36.9257 | − | 115.158i | −0.0715613 | − | 0.223174i | ||||
\(517\) | 294.060 | − | 294.060i | 0.568781 | − | 0.568781i | ||||
\(518\) | 284.030 | + | 81.8286i | 0.548320 | + | 0.157970i | ||||
\(519\) | −92.2358 | + | 425.836i | −0.177718 | + | 0.820493i | ||||
\(520\) | −18.3366 | − | 104.979i | −0.0352627 | − | 0.201883i | ||||
\(521\) | −389.610 | + | 674.824i | −0.747812 | + | 1.29525i | 0.201058 | + | 0.979579i | \(0.435562\pi\) |
−0.948870 | + | 0.315668i | \(0.897771\pi\) | |||||||
\(522\) | 286.876 | + | 47.7127i | 0.549572 | + | 0.0914037i | ||||
\(523\) | −56.6393 | + | 211.381i | −0.108297 | + | 0.404170i | −0.998698 | − | 0.0510066i | \(-0.983757\pi\) |
0.890401 | + | 0.455176i | \(0.150424\pi\) | |||||||
\(524\) | 328.844i | 0.627565i | ||||||||
\(525\) | −421.902 | + | 312.448i | −0.803622 | + | 0.595139i | ||||
\(526\) | 626.139 | 1.19038 | ||||||||
\(527\) | 707.646 | + | 189.613i | 1.34278 | + | 0.359797i | ||||
\(528\) | 190.443 | − | 9.24279i | 0.360688 | − | 0.0175053i | ||||
\(529\) | −961.181 | − | 554.938i | −1.81698 | − | 1.04903i | ||||
\(530\) | −425.889 | + | 74.3893i | −0.803564 | + | 0.140357i | ||||
\(531\) | −101.284 | − | 46.0359i | −0.190742 | − | 0.0866966i | ||||
\(532\) | −152.862 | + | 37.9099i | −0.287334 | + | 0.0712592i | ||||
\(533\) | 293.446 | + | 293.446i | 0.550555 | + | 0.550555i | ||||
\(534\) | −173.930 | − | 542.426i | −0.325712 | − | 1.01578i | ||||
\(535\) | 919.505 | + | 81.9373i | 1.71870 | + | 0.153154i | ||||
\(536\) | 263.141 | + | 151.925i | 0.490935 | + | 0.283441i | ||||
\(537\) | −284.686 | − | 146.443i | −0.530141 | − | 0.272706i | ||||
\(538\) | −61.7553 | − | 61.7553i | −0.114787 | − | 0.114787i | ||||
\(539\) | 778.014 | + | 29.1163i | 1.44344 | + | 0.0540191i | ||||
\(540\) | −55.0133 | + | 264.336i | −0.101877 | + | 0.489511i | ||||
\(541\) | 280.957 | + | 486.632i | 0.519329 | + | 0.899504i | 0.999748 | + | 0.0224649i | \(0.00715140\pi\) |
−0.480419 | + | 0.877039i | \(0.659515\pi\) | |||||||
\(542\) | 158.022 | − | 42.3418i | 0.291553 | − | 0.0781215i | ||||
\(543\) | 50.8111 | − | 2.46602i | 0.0935749 | − | 0.00454147i | ||||
\(544\) | 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 | −0.933727 | − | 0.357987i | \(-0.883463\pi\) |
−0.357987 | − | 0.933727i | \(-0.616537\pi\) | |||||||
\(548\) | 18.5338 | − | 69.1692i | 0.0338208 | − | 0.126221i | ||||
\(549\) | −123.078 | + | 87.9759i | −0.224186 | + | 0.160247i | ||||
\(550\) | −508.360 | − | 239.047i | −0.924291 | − | 0.434631i | ||||
\(551\) | −128.518 | − | 222.600i | −0.233245 | − | 0.403993i | ||||
\(552\) | −185.974 | − | 288.813i | −0.336910 | − | 0.523211i | ||||
\(553\) | 227.435 | + | 236.105i | 0.411274 | + | 0.426954i | ||||
\(554\) | 529.028 | 0.954925 | ||||||||
\(555\) | −447.510 | − | 18.0805i | −0.806323 | − | 0.0325774i | ||||
\(556\) | −50.5181 | − | 29.1666i | −0.0908599 | − | 0.0524580i | ||||
\(557\) | 138.355 | + | 516.348i | 0.248393 | + | 0.927016i | 0.971648 | + | 0.236434i | \(0.0759787\pi\) |
−0.723254 | + | 0.690582i | \(0.757355\pi\) | |||||||
\(558\) | −409.530 | − | 336.905i | −0.733925 | − | 0.603773i | ||||
\(559\) | −151.883 | −0.271705 | ||||||||
\(560\) | 82.6134 | − | 113.027i | 0.147524 | − | 0.201833i | ||||
\(561\) | 177.429 | − | 819.157i | 0.316273 | − | 1.46017i | ||||
\(562\) | −86.4641 | + | 322.689i | −0.153851 | + | 0.574179i | ||||
\(563\) | −45.3296 | − | 169.172i | −0.0805144 | − | 0.300484i | 0.913913 | − | 0.405911i | \(-0.133046\pi\) |
−0.994427 | + | 0.105427i | \(0.966379\pi\) | |||||||
\(564\) | −116.296 | − | 105.530i | −0.206198 | − | 0.187109i | ||||
\(565\) | 325.561 | + | 228.742i | 0.576214 | + | 0.404853i | ||||
\(566\) | −33.5434 | −0.0592640 | ||||||||
\(567\) | 240.007 | + | 513.698i | 0.423292 | + | 0.905993i | ||||
\(568\) | 69.5573 | − | 69.5573i | 0.122460 | − | 0.122460i | ||||
\(569\) | 3.43082 | + | 5.94235i | 0.00602955 | + | 0.0104435i | 0.869024 | − | 0.494769i | \(-0.164747\pi\) |
−0.862995 | + | 0.505213i | \(0.831414\pi\) | |||||||
\(570\) | 211.314 | − | 110.878i | 0.370727 | − | 0.194524i | ||||
\(571\) | −282.742 | + | 489.723i | −0.495169 | + | 0.857658i | −0.999984 | − | 0.00556934i | \(-0.998227\pi\) |
0.504815 | + | 0.863227i | \(0.331561\pi\) | |||||||
\(572\) | 61.9778 | − | 231.304i | 0.108353 | − | 0.404378i | ||||
\(573\) | 56.5949 | + | 87.8903i | 0.0987694 | + | 0.153386i | ||||
\(574\) | −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 | ||||
\(577\) | 173.275 | + | 646.672i | 0.300304 | + | 1.12075i | 0.936913 | + | 0.349562i | \(0.113670\pi\) |
−0.636610 | + | 0.771186i | \(0.719664\pi\) | |||||||
\(578\) | 27.5680 | − | 7.38681i | 0.0476954 | − | 0.0127799i | ||||
\(579\) | 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 | ||||
\(582\) | −246.118 | − | 382.215i | −0.422884 | − | 0.656727i | ||||
\(583\) | −938.375 | − | 251.437i | −1.60956 | − | 0.431281i | ||||
\(584\) | −144.056 | − | 83.1709i | −0.246671 | − | 0.142416i | ||||
\(585\) | 295.035 | + | 167.161i | 0.504334 | + | 0.285746i | ||||
\(586\) | 154.266 | − | 89.0653i | 0.263252 | − | 0.151989i | ||||
\(587\) | 120.200 | + | 120.200i | 0.204770 | + | 0.204770i | 0.802040 | − | 0.597270i | \(-0.203748\pi\) |
−0.597270 | + | 0.802040i | \(0.703748\pi\) | |||||||
\(588\) | −3.25997 | − | 293.982i | −0.00554416 | − | 0.499969i | ||||
\(589\) | 468.703i | 0.795761i | ||||||||
\(590\) | −71.5217 | − | 50.2517i | −0.121223 | − | 0.0851724i | ||||
\(591\) | 152.128 | + | 138.045i | 0.257408 | + | 0.233579i | ||||
\(592\) | 115.364 | − | 30.9116i | 0.194871 | − | 0.0522155i | ||||
\(593\) | −578.491 | − | 155.006i | −0.975534 | − | 0.261393i | −0.264371 | − | 0.964421i | \(-0.585164\pi\) |
−0.711163 | + | 0.703028i | \(0.751831\pi\) | |||||||
\(594\) | −362.276 | + | 486.663i | −0.609893 | + | 0.819298i | ||||
\(595\) | −385.930 | − | 479.380i | −0.648622 | − | 0.805680i | ||||
\(596\) | 251.140i | 0.421375i | ||||||||
\(597\) | 164.408 | + | 84.5721i | 0.275391 | + | 0.141662i | ||||
\(598\) | −416.722 | + | 111.660i | −0.696860 | + | 0.186723i | ||||
\(599\) | −312.822 | + | 541.824i | −0.522241 | + | 0.904548i | 0.477424 | + | 0.878673i | \(0.341570\pi\) |
−0.999665 | + | 0.0258747i | \(0.991763\pi\) | |||||||
\(600\) | −80.8571 | + | 196.118i | −0.134762 | + | 0.326863i | ||||
\(601\) | 564.677i | 0.939563i | 0.882783 | + | 0.469782i | \(0.155667\pi\) | ||||
−0.882783 | + | 0.469782i | \(0.844333\pi\) | |||||||
\(602\) | −138.426 | − | 143.703i | −0.229943 | − | 0.238709i | ||||
\(603\) | −905.276 | + | 339.498i | −1.50129 | + | 0.563015i | ||||
\(604\) | −322.530 | + | 186.213i | −0.533990 | + | 0.308299i | ||||
\(605\) | −421.690 | − | 504.196i | −0.697008 | − | 0.833381i | ||||
\(606\) | 249.119 | + | 226.057i | 0.411088 | + | 0.373032i | ||||
\(607\) | 432.927 | + | 116.002i | 0.713224 | + | 0.191108i | 0.597146 | − | 0.802132i | \(-0.296301\pi\) |
0.116078 | + | 0.993240i | \(0.462968\pi\) | |||||||
\(608\) | −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 | ||||
\(612\) | −312.215 | − | 51.9270i | −0.510155 | − | 0.0848480i | ||||
\(613\) | 157.847 | + | 589.092i | 0.257499 | + | 0.960998i | 0.966683 | + | 0.255975i | \(0.0823966\pi\) |
−0.709185 | + | 0.705023i | \(0.750937\pi\) | |||||||
\(614\) | 137.944 | − | 79.6418i | 0.224664 | − | 0.129710i | ||||
\(615\) | −181.418 | − | 805.908i | −0.294988 | − | 1.31042i | ||||
\(616\) | 275.333 | − | 152.170i | 0.446969 | − | 0.247029i | ||||
\(617\) | 717.965 | − | 717.965i | 1.16364 | − | 1.16364i | 0.179965 | − | 0.983673i | \(-0.442402\pi\) |
0.983673 | − | 0.179965i | \(-0.0575985\pi\) | |||||||
\(618\) | 188.407 | + | 96.9172i | 0.304866 | + | 0.156824i | ||||
\(619\) | 282.875 | − | 489.955i | 0.456988 | − | 0.791526i | −0.541812 | − | 0.840499i | \(-0.682262\pi\) |
0.998800 | + | 0.0489736i | \(0.0155950\pi\) | |||||||
\(620\) | −267.300 | − | 319.599i | −0.431129 | − | 0.515482i | ||||
\(621\) | 1085.66 | + | 126.850i | 1.74824 | + | 0.204267i | ||||
\(622\) | −106.829 | + | 106.829i | −0.171751 | + | 0.171751i | ||||
\(623\) | −652.023 | − | 676.880i | −1.04659 | − | 1.08649i | ||||
\(624\) | −88.3772 | − | 19.1425i | −0.141630 | − | 0.0306770i | ||||
\(625\) | 481.353 | − | 398.653i | 0.770165 | − | 0.637844i | ||||
\(626\) | −95.3183 | + | 165.096i | −0.152266 | + | 0.263732i | ||||
\(627\) | 535.597 | − | 25.9941i | 0.854221 | − | 0.0414579i | ||||
\(628\) | 54.5170 | − | 203.460i | 0.0868105 | − | 0.323981i | ||||
\(629\) | − | 525.015i | − | 0.834682i | ||||||
\(630\) | 110.735 | + | 431.495i | 0.175770 | + | 0.684912i | ||||
\(631\) | 1216.92 | 1.92856 | 0.964281 | − | 0.264880i | \(-0.0853323\pi\) | ||||
0.964281 | + | 0.264880i | \(0.0853323\pi\) | |||||||
\(632\) | 127.950 | + | 34.2840i | 0.202452 | + | 0.0542469i | ||||
\(633\) | 45.4853 | + | 937.203i | 0.0718567 | + | 1.48057i | ||||
\(634\) | −402.882 | − | 232.604i | −0.635461 | − | 0.366884i | ||||
\(635\) | −173.112 | − | 121.630i | −0.272617 | − | 0.191543i | ||||
\(636\) | −77.6587 | + | 358.536i | −0.122105 | + | 0.563736i | ||||
\(637\) | −352.837 | − | 108.838i | −0.553904 | − | 0.170861i | ||||
\(638\) | 363.043 | + | 363.043i | 0.569033 | + | 0.569033i | ||||
\(639\) | 30.3110 | + | 311.537i | 0.0474351 | + | 0.487538i | ||||
\(640\) | 5.02094 | − | 56.3453i | 0.00784521 | − | 0.0880395i | ||||
\(641\) | 14.4603 | + | 8.34866i | 0.0225590 | + | 0.0130244i | 0.511237 | − | 0.859440i | \(-0.329187\pi\) |
−0.488678 | + | 0.872464i | \(0.662521\pi\) | |||||||
\(642\) | 358.314 | − | 696.562i | 0.558121 | − | 1.08499i | ||||
\(643\) | −838.779 | − | 838.779i | −1.30448 | − | 1.30448i | −0.925341 | − | 0.379137i | \(-0.876221\pi\) |
−0.379137 | − | 0.925341i | \(-0.623779\pi\) | |||||||
\(644\) | −485.445 | − | 292.511i | −0.753797 | − | 0.454210i | ||||
\(645\) | 255.512 | + | 161.613i | 0.396143 | + | 0.250563i | ||||
\(646\) | 139.870 | + | 242.261i | 0.216517 | + | 0.375018i | ||||
\(647\) | −195.284 | + | 52.3263i | −0.301830 | + | 0.0808752i | −0.406556 | − | 0.913626i | \(-0.633270\pi\) |
0.104725 | + | 0.994501i | \(0.466604\pi\) | |||||||
\(648\) | 190.190 | + | 127.734i | 0.293503 | + | 0.197120i | ||||
\(649\) | −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 | ||||
\(653\) | −206.448 | + | 770.473i | −0.316152 | + | 1.17990i | 0.606759 | + | 0.794886i | \(0.292469\pi\) |
−0.922912 | + | 0.385011i | \(0.874198\pi\) | |||||||
\(654\) | 232.646 | − | 256.380i | 0.355728 | − | 0.392019i | ||||
\(655\) | −527.428 | − | 630.622i | −0.805234 | − | 0.962782i | ||||
\(656\) | 110.143 | + | 190.774i | 0.167901 | + | 0.290814i | ||||
\(657\) | 495.592 | − | 185.858i | 0.754326 | − | 0.282888i | ||||
\(658\) | −248.974 | − | 71.7291i | −0.378380 | − | 0.109011i | ||||
\(659\) | −897.874 | −1.36248 | −0.681240 | − | 0.732061i | \(-0.738559\pi\) | ||||
−0.681240 | + | 0.732061i | \(0.738559\pi\) | |||||||
\(660\) | −350.388 | + | 323.174i | −0.530890 | + | 0.489658i | ||||
\(661\) | −373.944 | − | 215.897i | −0.565725 | − | 0.326621i | 0.189715 | − | 0.981839i | \(-0.439244\pi\) |
−0.755440 | + | 0.655218i | \(0.772577\pi\) | |||||||
\(662\) | −201.675 | − | 752.661i | −0.304645 | − | 1.13695i | ||||
\(663\) | −181.831 | + | 353.479i | −0.274255 | + | 0.533152i | ||||
\(664\) | 302.757 | 0.455959 | ||||||||
\(665\) | 232.339 | − | 317.873i | 0.349382 | − | 0.478004i | ||||
\(666\) | −157.253 | + | 345.973i | −0.236115 | + | 0.519480i | ||||
\(667\) | 239.404 | − | 893.469i | 0.358927 | − | 1.33953i | ||||
\(668\) | 123.210 | + | 459.825i | 0.184446 | + | 0.688361i | ||||
\(669\) | −367.400 | + | 404.881i | −0.549177 | + | 0.605203i | ||||
\(670\) | −748.294 | + | 130.703i | −1.11686 | + | 0.195080i | ||||
\(671\) | −267.089 | −0.398046 | ||||||||
\(672\) | −62.4351 | − | 101.064i | −0.0929094 | − | 0.150392i | ||||
\(673\) | 286.300 | − | 286.300i | 0.425408 | − | 0.425408i | −0.461653 | − | 0.887061i | \(-0.652743\pi\) |
0.887061 | + | 0.461653i | \(0.152743\pi\) | |||||||
\(674\) | 174.856 | + | 302.860i | 0.259430 | + | 0.449347i | ||||
\(675\) | −318.466 | − | 595.151i | −0.471802 | − | 0.881705i | ||||
\(676\) | 112.215 | − | 194.363i | 0.165999 | − | 0.287519i | ||||
\(677\) | 26.5015 | − | 98.9049i | 0.0391455 | − | 0.146093i | −0.943587 | − | 0.331124i | \(-0.892572\pi\) |
0.982733 | + | 0.185031i | \(0.0592387\pi\) | |||||||
\(678\) | 283.858 | − | 182.784i | 0.418670 | − | 0.269592i | ||||
\(679\) | −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 | ||||
\(682\) | −242.310 | − | 904.315i | −0.355294 | − | 1.32597i | ||||
\(683\) | −733.390 | + | 196.511i | −1.07378 | + | 0.287718i | −0.752044 | − | 0.659113i | \(-0.770932\pi\) |
−0.321733 | + | 0.946831i | \(0.604265\pi\) | |||||||
\(684\) | −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 | ||||
\(687\) | 398.174 | − | 256.395i | 0.579584 | − | 0.373210i | ||||
\(688\) | −77.8751 | − | 20.8666i | −0.113191 | − | 0.0303293i | ||||
\(689\) | 399.009 | + | 230.368i | 0.579113 | + | 0.334351i | ||||
\(690\) | 819.864 | + | 255.573i | 1.18821 | + | 0.370396i | ||||
\(691\) | −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 | ||||
\(693\) | −182.668 | + | 984.196i | −0.263590 | + | 1.42020i | ||||
\(694\) | 177.219i | 0.255359i | ||||||||
\(695\) | 143.658 | − | 25.0926i | 0.206703 | − | 0.0361044i | ||||
\(696\) | 130.286 | − | 143.577i | 0.187192 | − | 0.206289i | ||||
\(697\) | 935.360 | − | 250.629i | 1.34198 | − | 0.359582i | ||||
\(698\) | 112.310 | + | 30.0933i | 0.160902 | + | 0.0431135i | ||||
\(699\) | 269.507 | + | 58.3751i | 0.385561 | + | 0.0835123i | ||||
\(700\) | 22.8546 | + | 349.253i | 0.0326494 | + | 0.498933i | ||||
\(701\) | − | 306.359i | − | 0.437032i | −0.975833 | − | 0.218516i | \(-0.929878\pi\) | ||
0.975833 | − | 0.218516i | \(-0.0701216\pi\) | |||||||
\(702\) | 225.697 | − | 178.473i | 0.321506 | − | 0.254235i | ||||
\(703\) | 324.445 | − | 86.9348i | 0.461515 | − | 0.123663i | ||||
\(704\) | 63.5558 | − | 110.082i | 0.0902781 | − | 0.156366i | ||||
\(705\) | 392.277 | + | 15.8489i | 0.556421 | + | 0.0224807i | ||||
\(706\) | 593.567i | 0.840746i | ||||||||
\(707\) | 533.333 | + | 153.652i | 0.754360 | + | 0.217330i | ||||
\(708\) | −62.3600 | + | 40.1553i | −0.0880792 | + | 0.0567165i | ||||
\(709\) | 188.596 | − | 108.886i | 0.266003 | − | 0.153577i | −0.361067 | − | 0.932540i | \(-0.617587\pi\) |
0.627070 | + | 0.778963i | \(0.284254\pi\) | |||||||
\(710\) | −21.8277 | + | 244.952i | −0.0307432 | + | 0.345002i | ||||
\(711\) | −342.902 | + | 245.106i | −0.482281 | + | 0.344734i | ||||
\(712\) | −366.813 | − | 98.2873i | −0.515187 | − | 0.138044i | ||||
\(713\) | −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 | ||||
\(717\) | 11.2441 | + | 231.678i | 0.0156821 | + | 0.323122i | ||||
\(718\) | 162.595 | + | 606.812i | 0.226455 | + | 0.845142i | ||||
\(719\) | 204.988 | − | 118.350i | 0.285101 | − | 0.164603i | −0.350629 | − | 0.936514i | \(-0.614032\pi\) |
0.635731 | + | 0.771911i | \(0.280699\pi\) | |||||||
\(720\) | 128.308 | + | 126.242i | 0.178205 | + | 0.175336i | ||||
\(721\) | 349.511 | + | 6.53775i | 0.484759 | + | 0.00906762i | ||||
\(722\) | 234.449 | − | 234.449i | 0.324722 | − | 0.324722i | ||||
\(723\) | 590.612 | − | 1148.15i | 0.816891 | − | 1.58803i | ||||
\(724\) | 16.9570 | − | 29.3704i | 0.0234212 | − | 0.0405668i | ||||
\(725\) | −537.396 | + | 193.640i | −0.741236 | + | 0.267090i | ||||
\(726\) | −531.097 | + | 170.298i | −0.731539 | + | 0.234570i | ||||
\(727\) | −173.946 | + | 173.946i | −0.239266 | + | 0.239266i | −0.816546 | − | 0.577280i | \(-0.804114\pi\) |
0.577280 | + | 0.816546i | \(0.304114\pi\) | |||||||
\(728\) | −144.809 | + | 35.9129i | −0.198914 | + | 0.0493309i | ||||
\(729\) | −698.357 | + | 209.137i | −0.957966 | + | 0.286882i | ||||
\(730\) | 409.652 | − | 71.5533i | 0.561167 | − | 0.0980182i | ||||
\(731\) | −177.203 | + | 306.925i | −0.242412 | + | 0.419870i | ||||
\(732\) | 4.88921 | + | 100.740i | 0.00667925 | + | 0.137623i | ||||
\(733\) | 233.681 | − | 872.111i | 0.318801 | − | 1.18978i | −0.601597 | − | 0.798800i | \(-0.705469\pi\) |
0.920398 | − | 0.390983i | \(-0.127865\pi\) | |||||||
\(734\) | 789.128i | 1.07511i | ||||||||
\(735\) | 477.765 | + | 558.539i | 0.650020 | + | 0.759917i | ||||
\(736\) | −229.007 | −0.311150 | ||||||||
\(737\) | −1648.74 | − | 441.778i | −2.23710 | − | 0.599428i | ||||
\(738\) | −691.450 | − | 115.001i | −0.936924 | − | 0.155827i | ||||
\(739\) | −340.163 | − | 196.393i | −0.460302 | − | 0.265756i | 0.251869 | − | 0.967761i | \(-0.418955\pi\) |
−0.712171 | + | 0.702006i | \(0.752288\pi\) | |||||||
\(740\) | −171.654 | + | 244.309i | −0.231964 | + | 0.330147i | ||||
\(741\) | −248.549 | − | 53.8356i | −0.335424 | − | 0.0726527i | ||||
\(742\) | 145.694 | + | 587.475i | 0.196353 | + | 0.791745i | ||||
\(743\) | −219.726 | − | 219.726i | −0.295729 | − | 0.295729i | 0.543610 | − | 0.839338i | \(-0.317057\pi\) |
−0.839338 | + | 0.543610i | \(0.817057\pi\) | |||||||
\(744\) | −336.651 | + | 107.948i | −0.452488 | + | 0.145091i | ||||
\(745\) | −402.799 | − | 481.609i | −0.540670 | − | 0.646455i | ||||
\(746\) | 376.694 | + | 217.484i | 0.504951 | + | 0.291534i | ||||
\(747\) | −612.035 | + | 743.968i | −0.819324 | + | 0.995941i | ||||
\(748\) | −395.109 | − | 395.109i | −0.528220 | − | 0.528220i | ||||
\(749\) | 24.1708 | − | 1292.18i | 0.0322707 | − | 1.72521i | ||||
\(750\) | −159.491 | − | 505.779i | −0.212655 | − | 0.674372i | ||||
\(751\) | 189.018 | + | 327.389i | 0.251688 | + | 0.435937i | 0.963991 | − | 0.265936i | \(-0.0856808\pi\) |
−0.712302 | + | 0.701873i | \(0.752347\pi\) | |||||||
\(752\) | −101.125 | + | 27.0964i | −0.134475 | + | 0.0360325i | ||||
\(753\) | 2.60761 | + | 53.7286i | 0.00346297 | + | 0.0713528i | ||||
\(754\) | −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 | 0.394812 | − | 0.918762i | \(-0.370810\pi\) |
−0.918762 | + | 0.394812i | \(0.870810\pi\) | |||||||
\(758\) | −2.70608 | + | 10.0992i | −0.00357003 | + | 0.0133235i | ||||
\(759\) | 1429.04 | + | 1296.75i | 1.88280 | + | 1.70850i | ||||
\(760\) | 14.1207 | − | 158.464i | 0.0185799 | − | 0.208505i | ||||
\(761\) | −668.395 | − | 1157.69i | −0.878312 | − | 1.52128i | −0.853193 | − | 0.521596i | \(-0.825337\pi\) |
−0.0251189 | − | 0.999684i | \(-0.507996\pi\) | |||||||
\(762\) | −150.937 | + | 97.1923i | −0.198080 | + | 0.127549i | ||||
\(763\) | 158.131 | − | 548.878i | 0.207249 | − | 0.719368i | ||||
\(764\) | 69.6904 | 0.0912178 | ||||||||
\(765\) | 682.018 | − | 401.177i | 0.891527 | − | 0.524415i | ||||
\(766\) | −202.221 | − | 116.753i | −0.263996 | − | 0.152418i | ||||
\(767\) | 24.1096 | + | 89.9781i | 0.0314336 | + | 0.117312i | ||||
\(768\) | −42.6838 | − | 21.9567i | −0.0555778 | − | 0.0285894i | ||||
\(769\) | −544.369 | −0.707892 | −0.353946 | − | 0.935266i | \(-0.615160\pi\) | ||||
−0.353946 | + | 0.935266i | \(0.615160\pi\) | |||||||
\(770\) | −283.941 | + | 733.418i | −0.368755 | + | 0.952491i | ||||
\(771\) | 443.785 | + | 96.1235i | 0.575596 | + | 0.124674i | ||||
\(772\) | 100.276 | − | 374.234i | 0.129891 | − | 0.484759i | ||||
\(773\) | −261.605 | − | 976.322i | −0.338428 | − | 1.26303i | −0.900105 | − | 0.435673i | \(-0.856510\pi\) |
0.561677 | − | 0.827356i | \(-0.310156\pi\) | |||||||
\(774\) | 208.703 | − | 149.181i | 0.269642 | − | 0.192740i | ||||
\(775\) | 1025.20 | + | 184.174i | 1.32284 | + | 0.237644i | ||||
\(776\) | −303.068 | −0.390551 | ||||||||
\(777\) | 18.6774 | + | 626.746i | 0.0240378 | + | 0.806623i | ||||
\(778\) | 419.372 | − | 419.372i | 0.539038 | − | 0.539038i | ||||
\(779\) | 309.764 | + | 536.526i | 0.397643 | + | 0.688737i | ||||
\(780\) | 200.183 | − | 105.038i | 0.256645 | − | 0.134664i | ||||
\(781\) | −276.298 | + | 478.562i | −0.353775 | + | 0.612756i | ||||
\(782\) | −260.550 | + | 972.385i | −0.333184 | + | 1.24346i | ||||
\(783\) | 89.4358 | + | 610.399i | 0.114222 | + | 0.779565i | ||||
\(784\) | −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 | ||||
\(787\) | 357.582 | + | 1334.51i | 0.454361 | + | 1.69570i | 0.689959 | + | 0.723848i | \(0.257628\pi\) |
−0.235598 | + | 0.971850i | \(0.575705\pi\) | |||||||
\(788\) | 132.284 | − | 35.4453i | 0.167873 | − | 0.0449814i | ||||
\(789\) | 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 | ||||
\(792\) | 142.025 | + | 378.711i | 0.179324 | + | 0.478171i | ||||
\(793\) | 122.354 | + | 32.7847i | 0.154293 | + | 0.0413427i | ||||
\(794\) | −370.109 | − | 213.683i | −0.466133 | − | 0.269122i | ||||
\(795\) | −426.125 | − | 812.118i | −0.536006 | − | 1.02153i | ||||
\(796\) | 106.743 | − | 61.6284i | 0.134100 | − | 0.0774226i | ||||
\(797\) | 141.441 | + | 141.441i | 0.177467 | + | 0.177467i | 0.790251 | − | 0.612784i | \(-0.209950\pi\) |
−0.612784 | + | 0.790251i | \(0.709950\pi\) | |||||||
\(798\) | −175.590 | − | 284.228i | −0.220038 | − | 0.356176i | ||||
\(799\) | 460.217i | 0.575991i | ||||||||
\(800\) | 80.7428 | + | 116.106i | 0.100928 | + | 0.145133i | ||||
\(801\) | 983.050 | − | 702.683i | 1.22728 | − | 0.877257i | ||||
\(802\) | 508.114 | − | 136.149i | 0.633559 | − | 0.169762i | ||||
\(803\) | 902.600 | + | 241.851i | 1.12403 | + | 0.301184i | ||||
\(804\) | −136.448 | + | 629.953i | −0.169711 | + | 0.783524i | ||||
\(805\) | 1400.09 | − | 217.651i | 1.73924 | − | 0.270374i | ||||
\(806\) | 444.013i | 0.550884i | ||||||||
\(807\) | 84.7463 | − | 164.747i | 0.105014 | − | 0.204147i | ||||
\(808\) | 216.622 | − | 58.0438i | 0.268097 | − | 0.0718364i | ||||
\(809\) | 390.293 | − | 676.008i | 0.482439 | − | 0.835609i | −0.517357 | − | 0.855769i | \(-0.673084\pi\) |
0.999797 | + | 0.0201600i | \(0.00641755\pi\) | |||||||
\(810\) | −569.596 | + | 60.0885i | −0.703205 | + | 0.0741834i | ||||
\(811\) | 168.301i | 0.207523i | 0.994602 | + | 0.103761i | \(0.0330879\pi\) | ||||
−0.994602 | + | 0.103761i | \(0.966912\pi\) | |||||||
\(812\) | 88.5558 | − | 307.380i | 0.109059 | − | 0.378547i | ||||
\(813\) | 187.885 | + | 291.781i | 0.231101 | + | 0.358894i | ||||
\(814\) | −581.040 | + | 335.464i | −0.713809 | + | 0.412118i | ||||
\(815\) | 1015.76 | + | 90.5143i | 1.24633 | + | 0.111061i | ||||
\(816\) | −141.793 | + | 156.259i | −0.173766 | + | 0.191493i | ||||
\(817\) | −219.013 | − | 58.6845i | −0.268070 | − | 0.0718292i | ||||
\(818\) | 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 | \(0.304369\pi\) | |||||||
\(822\) | 151.727 | − | 7.36379i | 0.184583 | − | 0.00895839i | ||||
\(823\) | −53.7276 | − | 200.514i | −0.0652826 | − | 0.243638i | 0.925572 | − | 0.378572i | \(-0.123585\pi\) |
−0.990855 | + | 0.134933i | \(0.956918\pi\) | |||||||
\(824\) | 122.325 | − | 70.6243i | 0.148453 | − | 0.0857091i | ||||
\(825\) | 153.602 | − | 1181.73i | 0.186184 | − | 1.43240i | ||||
\(826\) | −63.1587 | + | 104.817i | −0.0764633 | + | 0.126897i | ||||
\(827\) | −0.786280 | + | 0.786280i | −0.000950762 | + | 0.000950762i | −0.707582 | − | 0.706631i | \(-0.750214\pi\) |
0.706631 | + | 0.707582i | \(0.250214\pi\) | |||||||
\(828\) | 462.946 | − | 562.740i | 0.559114 | − | 0.679638i | ||||
\(829\) | −476.073 | + | 824.582i | −0.574273 | + | 0.994671i | 0.421847 | + | 0.906667i | \(0.361382\pi\) |
−0.996120 | + | 0.0880036i | \(0.971951\pi\) | |||||||
\(830\) | −580.595 | + | 485.587i | −0.699512 | + | 0.585045i | ||||
\(831\) | 342.663 | + | 1068.64i | 0.412350 | + | 1.28597i | ||||
\(832\) | −42.6275 | + | 42.6275i | −0.0512350 | + | 0.0512350i | ||||
\(833\) | −631.597 | + | 586.029i | −0.758219 | + | 0.703516i | ||||
\(834\) | 26.1954 | − | 120.939i | 0.0314093 | − | 0.145011i | ||||
\(835\) | −973.786 | − | 684.190i | −1.16621 | − | 0.819389i | ||||
\(836\) | 178.742 | − | 309.591i | 0.213807 | − | 0.370324i | ||||
\(837\) | 415.292 | − | 1045.48i | 0.496167 | − | 1.24908i | ||||
\(838\) | −206.631 | + | 771.156i | −0.246576 | + | 0.920234i | ||||
\(839\) | − | 774.304i | − | 0.922889i | −0.887169 | − | 0.461444i | \(-0.847331\pi\) | ||
0.887169 | − | 0.461444i | \(-0.152669\pi\) | |||||||
\(840\) | 281.826 | + | 93.6704i | 0.335507 | + | 0.111512i | ||||
\(841\) | −318.935 | −0.379232 | ||||||||
\(842\) | −788.127 | − | 211.178i | −0.936018 | − | 0.250805i | ||||
\(843\) | −707.840 | + | 34.3536i | −0.839668 | + | 0.0407516i | ||||
\(844\) | 541.731 | + | 312.769i | 0.641861 | + | 0.370579i | ||||
\(845\) | 96.5409 | + | 552.710i | 0.114250 | + | 0.654094i | ||||
\(846\) | 137.844 | − | 303.273i | 0.162937 | − | 0.358478i | ||||
\(847\) | −662.744 | + | 638.405i | −0.782460 | + | 0.753725i | ||||
\(848\) | 172.935 | + | 172.935i | 0.203932 | + | 0.203932i | ||||
\(849\) | −21.7268 | − | 67.7581i | −0.0255910 | − | 0.0798093i | ||||
\(850\) | 584.862 | − | 210.744i | 0.688073 | − | 0.247934i | ||||
\(851\) | 1046.81 | + | 604.377i | 1.23010 | + | 0.710197i | ||||
\(852\) | 185.560 | + | 95.4529i | 0.217794 | + | 0.112034i | ||||
\(853\) | −851.239 | − | 851.239i | −0.997936 | − | 0.997936i | 0.00206225 | − | 0.999998i | \(-0.499344\pi\) |
−0.999998 | + | 0.00206225i | \(0.999344\pi\) | |||||||
\(854\) | 80.4941 | + | 145.644i | 0.0942554 | + | 0.170544i | ||||
\(855\) | 360.849 | + | 355.040i | 0.422045 | + | 0.415251i | ||||
\(856\) | −261.106 | − | 452.249i | −0.305030 | − | 0.528328i | ||||
\(857\) | −5.29472 | + | 1.41872i | −0.00617821 | + | 0.00165545i | −0.261907 | − | 0.965093i | \(-0.584351\pi\) |
0.255729 | + | 0.966749i | \(0.417685\pi\) | |||||||
\(858\) | 507.383 | − | 24.6248i | 0.591355 | − | 0.0287003i | ||||
\(859\) | −146.680 | − | 254.057i | −0.170757 | − | 0.295759i | 0.767928 | − | 0.640536i | \(-0.221288\pi\) |
−0.938685 | + | 0.344777i | \(0.887955\pi\) | |||||||
\(860\) | 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 | ||||
\(863\) | −51.5727 | + | 192.472i | −0.0597597 | + | 0.223026i | −0.989347 | − | 0.145575i | \(-0.953497\pi\) |
0.929587 | + | 0.368602i | \(0.120163\pi\) | |||||||
\(864\) | 140.241 | − | 60.5010i | 0.162316 | − | 0.0700243i | ||||
\(865\) | −723.318 | − | 64.4550i | −0.836206 | − | 0.0745145i | ||||
\(866\) | 545.122 | + | 944.179i | 0.629471 | + | 1.09028i | ||||
\(867\) | 32.7778 | + | 50.9031i | 0.0378060 | + | 0.0587117i | ||||
\(868\) | −420.099 | + | 404.671i | −0.483985 | + | 0.466211i | ||||
\(869\) | −744.125 | −0.856300 | ||||||||
\(870\) | −19.5669 | + | 484.300i | −0.0224907 | + | 0.556667i | ||||
\(871\) | 701.065 | + | 404.760i | 0.804897 | + | 0.464708i | ||||
\(872\) | −59.7356 | − | 222.936i | −0.0685041 | − | 0.255661i | ||||
\(873\) | 612.663 | − | 744.731i | 0.701791 | − | 0.853072i | ||||
\(874\) | −644.051 | −0.736900 | ||||||||
\(875\) | −603.990 | − | 633.104i | −0.690274 | − | 0.723548i | ||||
\(876\) | 74.6980 | − | 344.867i | 0.0852717 | − | 0.393684i | ||||
\(877\) | −293.618 | + | 1095.80i | −0.334799 | + | 1.24949i | 0.569289 | + | 0.822138i | \(0.307219\pi\) |
−0.904087 | + | 0.427348i | \(0.859448\pi\) | |||||||
\(878\) | −99.2049 | − | 370.238i | −0.112990 | − | 0.421683i | ||||
\(879\) | 279.834 | + | 253.929i | 0.318355 | + | 0.288884i | ||||
\(880\) | 54.6782 | + | 313.040i | 0.0621343 | + | 0.355727i | ||||
\(881\) | 1261.20 | 1.43155 | 0.715775 | − | 0.698331i | \(-0.246073\pi\) | ||||
0.715775 | + | 0.698331i | \(0.246073\pi\) | |||||||
\(882\) | 591.736 | − | 197.004i | 0.670903 | − | 0.223360i | ||||
\(883\) | 887.974 | − | 887.974i | 1.00563 | − | 1.00563i | 0.00564892 | − | 0.999984i | \(-0.498202\pi\) |
0.999984 | − | 0.00564892i | \(-0.00179812\pi\) | |||||||
\(884\) | 132.502 | + | 229.500i | 0.149889 | + | 0.259615i | ||||
\(885\) | 55.1830 | − | 177.024i | 0.0623537 | − | 0.200027i | ||||
\(886\) | −80.8940 | + | 140.112i | −0.0913024 | + | 0.158140i | ||||
\(887\) | −286.709 | + | 1070.01i | −0.323234 | + | 1.20633i | 0.592840 | + | 0.805320i | \(0.298006\pi\) |
−0.916075 | + | 0.401007i | \(0.868660\pi\) | |||||||
\(888\) | 137.165 | + | 213.014i | 0.154466 | + | 0.239881i | ||||
\(889\) | −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 | ||||
\(892\) | 94.3357 | + | 352.066i | 0.105757 | + | 0.394692i | ||||
\(893\) | −284.401 | + | 76.2051i | −0.318479 | + | 0.0853361i | ||||
\(894\) | −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 | ||||
\(897\) | −495.476 | − | 769.460i | −0.552370 | − | 0.857815i | ||||
\(898\) | −155.472 | − | 41.6586i | −0.173132 | − | 0.0463905i | ||||
\(899\) | −824.439 | − | 475.990i | −0.917063 | − | 0.529466i | ||||
\(900\) | −448.533 | − | 36.3029i | −0.498370 | − | 0.0403366i | ||||
\(901\) | 931.053 | − | 537.544i | 1.03335 | − | 0.596608i | ||||
\(902\) | −875.031 | − | 875.031i | −0.970101 | − | 0.970101i | ||||
\(903\) | 200.621 | − | 372.701i | 0.222171 | − | 0.412736i | ||||
\(904\) | − | 225.078i | − | 0.248980i | ||||||
\(905\) | 14.5884 | + | 83.5204i | 0.0161198 | + | 0.0922878i | ||||
\(906\) | −585.062 | − | 530.901i | −0.645764 | − | 0.585984i | ||||
\(907\) | 53.4639 | − | 14.3256i | 0.0589458 | − | 0.0157945i | −0.229226 | − | 0.973373i | \(-0.573619\pi\) |
0.288171 | + | 0.957579i | \(0.406953\pi\) | |||||||
\(908\) | 731.055 | + | 195.886i | 0.805127 | + | 0.215733i | ||||
\(909\) | −295.279 | + | 649.646i | −0.324840 | + | 0.714683i | ||||
\(910\) | 220.100 | − | 301.128i | 0.241868 | − | 0.330910i | ||||
\(911\) | − | 1470.67i | − | 1.61434i | −0.590318 | − | 0.807171i | \(-0.700998\pi\) | ||
0.590318 | − | 0.807171i | \(-0.299002\pi\) | |||||||
\(912\) | −120.042 | − | 61.7503i | −0.131626 | − | 0.0677086i | ||||
\(913\) | −1642.81 | + | 440.190i | −1.79936 | + | 0.482136i | ||||
\(914\) | 487.633 | − | 844.605i | 0.533515 | − | 0.924075i | ||||
\(915\) | −170.951 | − | 185.346i | −0.186832 | − | 0.202564i | ||||
\(916\) | − | 315.722i | − | 0.344675i | ||||||
\(917\) | −828.926 | + | 798.484i | −0.903954 | + | 0.870757i | ||||
\(918\) | −97.3353 | − | 664.313i | −0.106030 | − | 0.723653i | ||||
\(919\) | 1399.94 | − | 808.253i | 1.52332 | − | 0.879492i | 0.523706 | − | 0.851899i | \(-0.324549\pi\) |
0.999619 | − | 0.0275926i | \(-0.00878411\pi\) | |||||||
\(920\) | 439.165 | − | 367.300i | 0.477353 | − | 0.399240i | ||||
\(921\) | 250.226 | + | 227.062i | 0.271690 | + | 0.246539i | ||||
\(922\) | −267.267 | − | 71.6140i | −0.289878 | − | 0.0776725i | ||||
\(923\) | 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 | ||||
\(927\) | −73.7388 | + | 443.360i | −0.0795456 | + | 0.478274i | ||||
\(928\) | −33.4529 | − | 124.848i | −0.0360484 | − | 0.134534i | ||||
\(929\) | 535.418 | − | 309.124i | 0.576338 | − | 0.332749i | −0.183339 | − | 0.983050i | \(-0.558691\pi\) |
0.759677 | + | 0.650301i | \(0.225357\pi\) | |||||||
\(930\) | 472.458 | − | 746.961i | 0.508019 | − | 0.803184i | ||||
\(931\) | −466.733 | − | 293.272i | −0.501324 | − | 0.315007i | ||||
\(932\) | 129.993 | − | 129.993i | 0.139478 | − | 0.139478i | ||||
\(933\) | −284.992 | − | 146.601i | −0.305458 | − | 0.157128i | ||||
\(934\) | 73.1675 | − | 126.730i | 0.0783378 | − | 0.135685i | ||||
\(935\) | 1391.41 | + | 123.989i | 1.48814 | + | 0.132608i | ||||
\(936\) | −18.5758 | − | 190.922i | −0.0198460 | − | 0.203977i | ||||
\(937\) | 1196.22 | − | 1196.22i | 1.27665 | − | 1.27665i | 0.334123 | − | 0.942529i | \(-0.391560\pi\) |
0.942529 | − | 0.334123i | \(-0.108440\pi\) | |||||||
\(938\) | 255.987 | + | 1032.20i | 0.272907 | + | 1.10043i | ||||
\(939\) | −395.236 | − | 85.6080i | −0.420912 | − | 0.0911693i | ||||
\(940\) | 150.468 | − | 214.156i | 0.160072 | − | 0.227825i | ||||
\(941\) | 539.372 | − | 934.221i | 0.573191 | − | 0.992795i | −0.423045 | − | 0.906109i | \(-0.639039\pi\) |
0.996236 | − | 0.0866867i | \(-0.0276279\pi\) | |||||||
\(942\) | 446.304 | − | 21.6605i | 0.473783 | − | 0.0229942i | ||||
\(943\) | −577.029 | + | 2153.50i | −0.611908 | + | 2.28367i | ||||
\(944\) | 49.4468i | 0.0523801i | ||||||||
\(945\) | −799.900 | + | 503.175i | −0.846455 | + | 0.532461i | ||||
\(946\) | 452.903 | 0.478756 | ||||||||
\(947\) | −876.499 | − | 234.857i | −0.925553 | − | 0.248001i | −0.235596 | − | 0.971851i | \(-0.575704\pi\) |
−0.689958 | + | 0.723850i | \(0.742371\pi\) | |||||||
\(948\) | 13.6216 | + | 280.667i | 0.0143688 | + | 0.296062i | ||||
\(949\) | −383.797 | − | 221.585i | −0.404423 | − | 0.233494i | ||||
\(950\) | 227.078 | + | 326.533i | 0.239030 | + | 0.343719i | ||||
\(951\) | 208.908 | − | 964.491i | 0.219672 | − | 1.01419i | ||||
\(952\) | −96.3776 | + | 334.530i | −0.101237 | + | 0.351397i | ||||
\(953\) | 114.472 | + | 114.472i | 0.120118 | + | 0.120118i | 0.764611 | − | 0.644493i | \(-0.222931\pi\) |
−0.644493 | + | 0.764611i | \(0.722931\pi\) | |||||||
\(954\) | −774.549 | + | 75.3599i | −0.811896 | + | 0.0789936i | ||||
\(955\) | −133.645 | + | 111.775i | −0.139942 | + | 0.117042i | ||||
\(956\) | 133.917 | + | 77.3170i | 0.140080 | + | 0.0808755i | ||||
\(957\) | −498.201 | + | 968.502i | −0.520586 | + | 1.01202i | ||||
\(958\) | −196.387 | − | 196.387i | −0.204997 | − | 0.204997i | ||||
\(959\) | 219.360 | − | 121.235i | 0.228738 | − | 0.126418i | ||||
\(960\) | 117.070 | − | 26.3537i | 0.121948 | − | 0.0274518i | ||||
\(961\) | 387.463 | + | 671.105i | 0.403187 | + | 0.698341i | ||||
\(962\) | 307.354 | − | 82.3553i | 0.319495 | − | 0.0856084i | ||||
\(963\) | 1639.15 | + | 272.620i | 1.70213 | + | 0.283095i | ||||
\(964\) | −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 | 0.665800 | − | 0.746131i | \(-0.268091\pi\) |
−0.746131 | + | 0.665800i | \(0.768091\pi\) | |||||||
\(968\) | −96.2346 | + | 359.152i | −0.0994159 | + | 0.371025i | ||||
\(969\) | −398.775 | + | 439.457i | −0.411532 | + | 0.453516i | ||||
\(970\) | 581.191 | − | 486.086i | 0.599166 | − | 0.501119i | ||||
\(971\) | −110.567 | − | 191.508i | −0.113869 | − | 0.197228i | 0.803458 | − | 0.595362i | \(-0.202991\pi\) |
−0.917327 | + | 0.398134i | \(0.869658\pi\) | |||||||
\(972\) | −134.834 | + | 466.922i | −0.138718 | + | 0.480372i | ||||
\(973\) | −49.1447 | − | 198.163i | −0.0505084 | − | 0.203662i | ||||
\(974\) | −136.856 | −0.140509 | ||||||||
\(975\) | −215.421 | + | 522.500i | −0.220945 | + | 0.535898i | ||||
\(976\) | 58.2306 | + | 33.6195i | 0.0596625 | + | 0.0344462i | ||||
\(977\) | −56.3489 | − | 210.297i | −0.0576755 | − | 0.215248i | 0.931074 | − | 0.364831i | \(-0.118873\pi\) |
−0.988749 | + | 0.149584i | \(0.952207\pi\) | |||||||
\(978\) | 395.821 | − | 769.476i | 0.404725 | − | 0.786786i | ||||
\(979\) | 2133.30 | 2.17906 | ||||||||
\(980\) | 485.507 | − | 66.2005i | 0.495416 | − | 0.0675516i | ||||
\(981\) | 668.581 | + | 303.886i | 0.681531 | + | 0.309771i | ||||
\(982\) | −20.0776 | + | 74.9307i | −0.0204456 | + | 0.0763042i | ||||
\(983\) | −210.459 | − | 785.442i | −0.214098 | − | 0.799026i | −0.986482 | − | 0.163869i | \(-0.947602\pi\) |
0.772384 | − | 0.635156i | \(-0.219064\pi\) | |||||||
\(984\) | −314.024 | + | 346.060i | −0.319130 | + | 0.351687i | ||||
\(985\) | −196.829 | + | 280.141i | −0.199827 | + | 0.284407i | ||||
\(986\) | −568.177 | −0.576245 | ||||||||
\(987\) | −16.3722 | − | 549.392i | −0.0165878 | − | 0.556628i | ||||
\(988\) | −119.884 | + | 119.884i | −0.121340 | + | 0.121340i | ||||
\(989\) | −407.979 | − | 706.640i | −0.412517 | − | 0.714500i | ||||
\(990\) | −879.770 | − | 498.461i | −0.888656 | − | 0.503496i | ||||
\(991\) | −517.332 | + | 896.045i | −0.522030 | + | 0.904183i | 0.477641 | + | 0.878555i | \(0.341492\pi\) |
−0.999672 | + | 0.0256281i | \(0.991841\pi\) | |||||||
\(992\) | −61.0010 | + | 227.659i | −0.0614929 | + | 0.229495i | ||||
\(993\) | 1389.76 | − | 894.901i | 1.39955 | − | 0.901210i | ||||
\(994\) | 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 | ||||
\(997\) | 94.2945 | + | 351.912i | 0.0945782 | + | 0.352971i | 0.996955 | − | 0.0779769i | \(-0.0248460\pi\) |
−0.902377 | + | 0.430948i | \(0.858179\pi\) | |||||||
\(998\) | −974.385 | + | 261.086i | −0.976338 | + | 0.261609i | ||||
\(999\) | −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.b.17.9 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.17.6 | ✓ | 64 | ||
5.3 | odd | 4 | 210.3.w.a.143.1 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.47.13 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.143.13 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.47.1 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.a.173.6 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.b.173.9 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.6 | ✓ | 64 | 3.2 | odd | 2 | ||
210.3.w.a.47.1 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.a.143.1 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.a.173.6 | yes | 64 | 35.33 | even | 12 | ||
210.3.w.b.17.9 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.47.13 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.143.13 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.b.173.9 | yes | 64 | 105.68 | odd | 12 | inner |