Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 262.9 | ||
Character | \(\chi\) | \(=\) | 273.262 |
Dual form | 273.2.cg.a.124.9 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.705851 | + | 2.63427i | 0.499112 | + | 1.86271i | 0.505660 | + | 0.862733i | \(0.331249\pi\) |
−0.00654752 | + | 0.999979i | \(0.502084\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −4.70911 | + | 2.71881i | −2.35456 | + | 1.35940i | ||||
\(5\) | −0.914933 | + | 3.41458i | −0.409170 | + | 1.52704i | 0.387062 | + | 0.922054i | \(0.373490\pi\) |
−0.796232 | + | 0.604991i | \(0.793177\pi\) | |||||||
\(6\) | 2.63427 | − | 0.705851i | 1.07544 | − | 0.288162i | ||||
\(7\) | 2.62078 | − | 0.362619i | 0.990563 | − | 0.137057i | ||||
\(8\) | −6.62917 | − | 6.62917i | −2.34377 | − | 2.34377i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −9.64073 | −3.04867 | ||||||||
\(11\) | 0.312538 | + | 0.312538i | 0.0942339 | + | 0.0942339i | 0.752652 | − | 0.658418i | \(-0.228774\pi\) |
−0.658418 | + | 0.752652i | \(0.728774\pi\) | |||||||
\(12\) | 2.71881 | + | 4.70911i | 0.784852 | + | 1.35940i | ||||
\(13\) | −3.60449 | + | 0.0874303i | −0.999706 | + | 0.0242488i | ||||
\(14\) | 2.80512 | + | 6.64790i | 0.749700 | + | 1.77673i | ||||
\(15\) | 3.41458 | + | 0.914933i | 0.881640 | + | 0.236235i | ||||
\(16\) | 7.34621 | − | 12.7240i | 1.83655 | − | 3.18100i | ||||
\(17\) | 0.715520 | + | 1.23932i | 0.173539 | + | 0.300578i | 0.939655 | − | 0.342124i | \(-0.111146\pi\) |
−0.766116 | + | 0.642703i | \(0.777813\pi\) | |||||||
\(18\) | −0.705851 | − | 2.63427i | −0.166371 | − | 0.620904i | ||||
\(19\) | −0.931473 | − | 0.931473i | −0.213694 | − | 0.213694i | 0.592140 | − | 0.805835i | \(-0.298283\pi\) |
−0.805835 | + | 0.592140i | \(0.798283\pi\) | |||||||
\(20\) | −4.97505 | − | 18.5671i | −1.11246 | − | 4.15174i | ||||
\(21\) | −0.362619 | − | 2.62078i | −0.0791300 | − | 0.571902i | ||||
\(22\) | −0.602706 | + | 1.04392i | −0.128497 | + | 0.222564i | ||||
\(23\) | 6.22490 | + | 3.59395i | 1.29798 | + | 0.749390i | 0.980055 | − | 0.198725i | \(-0.0636801\pi\) |
0.317926 | + | 0.948115i | \(0.397013\pi\) | |||||||
\(24\) | −6.62917 | + | 6.62917i | −1.35317 | + | 1.35317i | ||||
\(25\) | −6.49210 | − | 3.74822i | −1.29842 | − | 0.749643i | ||||
\(26\) | −2.77455 | − | 9.43350i | −0.544134 | − | 1.85006i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −11.3557 | + | 8.83302i | −2.14602 | + | 1.66928i | ||||
\(29\) | 3.82097 | + | 6.61812i | 0.709537 | + | 1.22895i | 0.965029 | + | 0.262143i | \(0.0844291\pi\) |
−0.255492 | + | 0.966811i | \(0.582238\pi\) | |||||||
\(30\) | 9.64073i | 1.76015i | ||||||||
\(31\) | 0.698697 | − | 0.187215i | 0.125490 | − | 0.0336249i | −0.195528 | − | 0.980698i | \(-0.562642\pi\) |
0.321017 | + | 0.947073i | \(0.395975\pi\) | |||||||
\(32\) | 20.5926 | + | 5.51778i | 3.64030 | + | 0.975414i | ||||
\(33\) | 0.312538 | − | 0.312538i | 0.0544060 | − | 0.0544060i | ||||
\(34\) | −2.75965 | + | 2.75965i | −0.473276 | + | 0.473276i | ||||
\(35\) | −1.15965 | + | 9.28064i | −0.196017 | + | 1.56871i | ||||
\(36\) | 4.70911 | − | 2.71881i | 0.784852 | − | 0.453135i | ||||
\(37\) | −0.982321 | + | 0.263212i | −0.161493 | + | 0.0432718i | −0.338659 | − | 0.940909i | \(-0.609973\pi\) |
0.177167 | + | 0.984181i | \(0.443307\pi\) | |||||||
\(38\) | 1.79627 | − | 3.11123i | 0.291394 | − | 0.504709i | ||||
\(39\) | 0.0874303 | + | 3.60449i | 0.0140001 | + | 0.577181i | ||||
\(40\) | 28.7010 | − | 16.5706i | 4.53803 | − | 2.62003i | ||||
\(41\) | 0.748673 | − | 2.79409i | 0.116923 | − | 0.436363i | −0.882500 | − | 0.470312i | \(-0.844142\pi\) |
0.999424 | + | 0.0339485i | \(0.0108082\pi\) | |||||||
\(42\) | 6.64790 | − | 2.80512i | 1.02579 | − | 0.432840i | ||||
\(43\) | 7.20261 | + | 4.15843i | 1.09839 | + | 0.634155i | 0.935797 | − | 0.352539i | \(-0.114682\pi\) |
0.162591 | + | 0.986694i | \(0.448015\pi\) | |||||||
\(44\) | −2.32151 | − | 0.622047i | −0.349981 | − | 0.0937771i | ||||
\(45\) | 0.914933 | − | 3.41458i | 0.136390 | − | 0.509015i | ||||
\(46\) | −5.07358 | + | 18.9349i | −0.748059 | + | 2.79180i | ||||
\(47\) | 0.906290 | + | 0.242840i | 0.132196 | + | 0.0354218i | 0.324310 | − | 0.945951i | \(-0.394868\pi\) |
−0.192114 | + | 0.981373i | \(0.561534\pi\) | |||||||
\(48\) | −12.7240 | − | 7.34621i | −1.83655 | − | 1.06033i | ||||
\(49\) | 6.73701 | − | 1.90069i | 0.962431 | − | 0.271528i | ||||
\(50\) | 5.29136 | − | 19.7476i | 0.748312 | − | 2.79274i | ||||
\(51\) | 1.23932 | − | 0.715520i | 0.173539 | − | 0.100193i | ||||
\(52\) | 16.7362 | − | 10.2116i | 2.32090 | − | 1.41610i | ||||
\(53\) | 2.48381 | − | 4.30208i | 0.341177 | − | 0.590936i | −0.643474 | − | 0.765468i | \(-0.722508\pi\) |
0.984652 | + | 0.174531i | \(0.0558411\pi\) | |||||||
\(54\) | −2.63427 | + | 0.705851i | −0.358479 | + | 0.0960542i | ||||
\(55\) | −1.35314 | + | 0.781234i | −0.182457 | + | 0.105342i | ||||
\(56\) | −19.7775 | − | 14.9698i | −2.64288 | − | 2.00042i | ||||
\(57\) | −0.931473 | + | 0.931473i | −0.123377 | + | 0.123377i | ||||
\(58\) | −14.7369 | + | 14.7369i | −1.93505 | + | 1.93505i | ||||
\(59\) | −3.14180 | − | 0.841844i | −0.409028 | − | 0.109599i | 0.0484372 | − | 0.998826i | \(-0.484576\pi\) |
−0.457465 | + | 0.889227i | \(0.651243\pi\) | |||||||
\(60\) | −18.5671 | + | 4.97505i | −2.39701 | + | 0.642277i | ||||
\(61\) | 13.0177i | 1.66674i | 0.552715 | + | 0.833370i | \(0.313592\pi\) | ||||
−0.552715 | + | 0.833370i | \(0.686408\pi\) | |||||||
\(62\) | 0.986352 | + | 1.70841i | 0.125267 | + | 0.216969i | ||||
\(63\) | −2.62078 | + | 0.362619i | −0.330188 | + | 0.0456857i | ||||
\(64\) | 28.7565i | 3.59456i | ||||||||
\(65\) | 2.99933 | − | 12.3878i | 0.372021 | − | 1.53652i | ||||
\(66\) | 1.04392 | + | 0.602706i | 0.128497 | + | 0.0741879i | ||||
\(67\) | 4.49370 | − | 4.49370i | 0.548993 | − | 0.548993i | −0.377156 | − | 0.926150i | \(-0.623098\pi\) |
0.926150 | + | 0.377156i | \(0.123098\pi\) | |||||||
\(68\) | −6.73893 | − | 3.89072i | −0.817215 | − | 0.471819i | ||||
\(69\) | 3.59395 | − | 6.22490i | 0.432661 | − | 0.749390i | ||||
\(70\) | −25.2663 | + | 3.49591i | −3.01990 | + | 0.417842i | ||||
\(71\) | 0.487730 | + | 1.82023i | 0.0578829 | + | 0.216022i | 0.988809 | − | 0.149185i | \(-0.0476649\pi\) |
−0.930926 | + | 0.365207i | \(0.880998\pi\) | |||||||
\(72\) | 6.62917 | + | 6.62917i | 0.781255 | + | 0.781255i | ||||
\(73\) | −3.29282 | − | 12.2890i | −0.385396 | − | 1.43832i | −0.837542 | − | 0.546373i | \(-0.816008\pi\) |
0.452146 | − | 0.891944i | \(-0.350659\pi\) | |||||||
\(74\) | −1.38674 | − | 2.40191i | −0.161206 | − | 0.279217i | ||||
\(75\) | −3.74822 | + | 6.49210i | −0.432807 | + | 0.749643i | ||||
\(76\) | 6.91890 | + | 1.85391i | 0.793653 | + | 0.212659i | ||||
\(77\) | 0.932428 | + | 0.705763i | 0.106260 | + | 0.0804292i | ||||
\(78\) | −9.43350 | + | 2.77455i | −1.06813 | + | 0.314156i | ||||
\(79\) | −1.77054 | − | 3.06666i | −0.199201 | − | 0.345026i | 0.749069 | − | 0.662493i | \(-0.230501\pi\) |
−0.948270 | + | 0.317466i | \(0.897168\pi\) | |||||||
\(80\) | 36.7258 | + | 36.7258i | 4.10607 | + | 4.10607i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 7.88884 | 0.871176 | ||||||||
\(83\) | −2.33307 | − | 2.33307i | −0.256087 | − | 0.256087i | 0.567373 | − | 0.823461i | \(-0.307960\pi\) |
−0.823461 | + | 0.567373i | \(0.807960\pi\) | |||||||
\(84\) | 8.83302 | + | 11.3557i | 0.963762 | + | 1.23901i | ||||
\(85\) | −4.88639 | + | 1.30931i | −0.530004 | + | 0.142014i | ||||
\(86\) | −5.87046 | + | 21.9089i | −0.633028 | + | 2.36249i | ||||
\(87\) | 6.61812 | − | 3.82097i | 0.709537 | − | 0.409651i | ||||
\(88\) | − | 4.14374i | − | 0.441724i | ||||||
\(89\) | −2.70782 | − | 10.1057i | −0.287028 | − | 1.07120i | −0.947345 | − | 0.320216i | \(-0.896245\pi\) |
0.660317 | − | 0.750987i | \(-0.270422\pi\) | |||||||
\(90\) | 9.64073 | 1.01622 | ||||||||
\(91\) | −9.41489 | + | 1.53619i | −0.986948 | + | 0.161037i | ||||
\(92\) | −39.0850 | −4.07489 | ||||||||
\(93\) | −0.187215 | − | 0.698697i | −0.0194133 | − | 0.0724515i | ||||
\(94\) | 2.55882i | 0.263922i | ||||||||
\(95\) | 4.03282 | − | 2.32835i | 0.413758 | − | 0.238884i | ||||
\(96\) | 5.51778 | − | 20.5926i | 0.563156 | − | 2.10173i | ||||
\(97\) | 2.51514 | − | 0.673929i | 0.255373 | − | 0.0684271i | −0.128861 | − | 0.991663i | \(-0.541132\pi\) |
0.384234 | + | 0.923236i | \(0.374465\pi\) | |||||||
\(98\) | 9.76227 | + | 16.4055i | 0.986138 | + | 1.65721i | ||||
\(99\) | −0.312538 | − | 0.312538i | −0.0314113 | − | 0.0314113i | ||||
\(100\) | 40.7627 | 4.07627 | ||||||||
\(101\) | 1.44573 | 0.143856 | 0.0719279 | − | 0.997410i | \(-0.477085\pi\) | ||||
0.0719279 | + | 0.997410i | \(0.477085\pi\) | |||||||
\(102\) | 2.75965 | + | 2.75965i | 0.273246 | + | 0.273246i | ||||
\(103\) | −6.70272 | − | 11.6095i | −0.660439 | − | 1.14391i | −0.980500 | − | 0.196517i | \(-0.937037\pi\) |
0.320061 | − | 0.947397i | \(-0.396296\pi\) | |||||||
\(104\) | 24.4744 | + | 23.3152i | 2.39991 | + | 2.28624i | ||||
\(105\) | 9.28064 | + | 1.15965i | 0.905697 | + | 0.113170i | ||||
\(106\) | 13.0860 | + | 3.50640i | 1.27103 | + | 0.340571i | ||||
\(107\) | −0.944877 | + | 1.63658i | −0.0913447 | + | 0.158214i | −0.908077 | − | 0.418803i | \(-0.862450\pi\) |
0.816732 | + | 0.577017i | \(0.195783\pi\) | |||||||
\(108\) | −2.71881 | − | 4.70911i | −0.261617 | − | 0.453135i | ||||
\(109\) | −1.90898 | − | 7.12442i | −0.182847 | − | 0.682396i | −0.995081 | − | 0.0990637i | \(-0.968415\pi\) |
0.812234 | − | 0.583332i | \(-0.198251\pi\) | |||||||
\(110\) | −3.01310 | − | 3.01310i | −0.287288 | − | 0.287288i | ||||
\(111\) | 0.263212 | + | 0.982321i | 0.0249830 | + | 0.0932378i | ||||
\(112\) | 14.6389 | − | 36.0108i | 1.38324 | − | 3.40270i | ||||
\(113\) | −3.09382 | + | 5.35865i | −0.291042 | + | 0.504100i | −0.974056 | − | 0.226305i | \(-0.927335\pi\) |
0.683014 | + | 0.730405i | \(0.260669\pi\) | |||||||
\(114\) | −3.11123 | − | 1.79627i | −0.291394 | − | 0.168236i | ||||
\(115\) | −17.9672 | + | 17.9672i | −1.67545 | + | 1.67545i | ||||
\(116\) | −35.9868 | − | 20.7770i | −3.34129 | − | 1.92909i | ||||
\(117\) | 3.60449 | − | 0.0874303i | 0.333235 | − | 0.00808293i | ||||
\(118\) | − | 8.87058i | − | 0.816603i | ||||||
\(119\) | 2.32462 | + | 2.98852i | 0.213098 | + | 0.273957i | ||||
\(120\) | −16.5706 | − | 28.7010i | −1.51268 | − | 2.62003i | ||||
\(121\) | − | 10.8046i | − | 0.982240i | ||||||
\(122\) | −34.2921 | + | 9.18853i | −3.10466 | + | 0.831890i | ||||
\(123\) | −2.79409 | − | 0.748673i | −0.251934 | − | 0.0675056i | ||||
\(124\) | −2.78124 | + | 2.78124i | −0.249763 | + | 0.249763i | ||||
\(125\) | 6.24018 | − | 6.24018i | 0.558139 | − | 0.558139i | ||||
\(126\) | −2.80512 | − | 6.64790i | −0.249900 | − | 0.592242i | ||||
\(127\) | 5.90231 | − | 3.40770i | 0.523745 | − | 0.302384i | −0.214721 | − | 0.976676i | \(-0.568884\pi\) |
0.738466 | + | 0.674291i | \(0.235551\pi\) | |||||||
\(128\) | −34.5671 | + | 9.26222i | −3.05533 | + | 0.818672i | ||||
\(129\) | 4.15843 | − | 7.20261i | 0.366129 | − | 0.634155i | ||||
\(130\) | 34.7499 | − | 0.842892i | 3.04777 | − | 0.0739265i | ||||
\(131\) | −3.17967 | + | 1.83578i | −0.277809 | + | 0.160393i | −0.632431 | − | 0.774617i | \(-0.717943\pi\) |
0.354622 | + | 0.935010i | \(0.384610\pi\) | |||||||
\(132\) | −0.622047 | + | 2.32151i | −0.0541422 | + | 0.202062i | ||||
\(133\) | −2.77896 | − | 2.10342i | −0.240966 | − | 0.182389i | ||||
\(134\) | 15.0095 | + | 8.66575i | 1.29662 | + | 0.748607i | ||||
\(135\) | −3.41458 | − | 0.914933i | −0.293880 | − | 0.0787449i | ||||
\(136\) | 3.47234 | − | 12.9589i | 0.297751 | − | 1.11122i | ||||
\(137\) | −2.04025 | + | 7.61433i | −0.174311 | + | 0.650536i | 0.822357 | + | 0.568971i | \(0.192658\pi\) |
−0.996668 | + | 0.0815648i | \(0.974008\pi\) | |||||||
\(138\) | 18.9349 | + | 5.07358i | 1.61184 | + | 0.431892i | ||||
\(139\) | −10.3222 | − | 5.95952i | −0.875517 | − | 0.505480i | −0.00633943 | − | 0.999980i | \(-0.502018\pi\) |
−0.869178 | + | 0.494500i | \(0.835351\pi\) | |||||||
\(140\) | −19.7713 | − | 46.8564i | −1.67098 | − | 3.96009i | ||||
\(141\) | 0.242840 | − | 0.906290i | 0.0204508 | − | 0.0763234i | ||||
\(142\) | −4.45073 | + | 2.56963i | −0.373497 | + | 0.215638i | ||||
\(143\) | −1.15387 | − | 1.09922i | −0.0964912 | − | 0.0919211i | ||||
\(144\) | −7.34621 | + | 12.7240i | −0.612184 | + | 1.06033i | ||||
\(145\) | −26.0940 | + | 6.99187i | −2.16699 | + | 0.580643i | ||||
\(146\) | 30.0483 | − | 17.3484i | 2.48681 | − | 1.43576i | ||||
\(147\) | −1.90069 | − | 6.73701i | −0.156767 | − | 0.555660i | ||||
\(148\) | 3.91024 | − | 3.91024i | 0.321420 | − | 0.321420i | ||||
\(149\) | 15.3953 | − | 15.3953i | 1.26123 | − | 1.26123i | 0.310735 | − | 0.950497i | \(-0.399425\pi\) |
0.950497 | − | 0.310735i | \(-0.100575\pi\) | |||||||
\(150\) | −19.7476 | − | 5.29136i | −1.61239 | − | 0.432038i | ||||
\(151\) | 13.4854 | − | 3.61340i | 1.09742 | − | 0.294054i | 0.335709 | − | 0.941966i | \(-0.391024\pi\) |
0.761715 | + | 0.647912i | \(0.224357\pi\) | |||||||
\(152\) | 12.3498i | 1.00170i | ||||||||
\(153\) | −0.715520 | − | 1.23932i | −0.0578464 | − | 0.100193i | ||||
\(154\) | −1.20102 | + | 2.95443i | −0.0967807 | + | 0.238075i | ||||
\(155\) | 2.55704i | 0.205387i | ||||||||
\(156\) | −10.2116 | − | 16.7362i | −0.817585 | − | 1.33997i | ||||
\(157\) | 12.9689 | + | 7.48759i | 1.03503 | + | 0.597574i | 0.918421 | − | 0.395604i | \(-0.129465\pi\) |
0.116608 | + | 0.993178i | \(0.462798\pi\) | |||||||
\(158\) | 6.82869 | − | 6.82869i | 0.543261 | − | 0.543261i | ||||
\(159\) | −4.30208 | − | 2.48381i | −0.341177 | − | 0.196979i | ||||
\(160\) | −37.6817 | + | 65.2667i | −2.97900 | + | 5.15978i | ||||
\(161\) | 17.6174 | + | 7.16169i | 1.38844 | + | 0.564420i | ||||
\(162\) | 0.705851 | + | 2.63427i | 0.0554569 | + | 0.206968i | ||||
\(163\) | −6.25479 | − | 6.25479i | −0.489913 | − | 0.489913i | 0.418366 | − | 0.908279i | \(-0.362603\pi\) |
−0.908279 | + | 0.418366i | \(0.862603\pi\) | |||||||
\(164\) | 4.07100 | + | 15.1932i | 0.317891 | + | 1.18639i | ||||
\(165\) | 0.781234 | + | 1.35314i | 0.0608190 | + | 0.105342i | ||||
\(166\) | 4.49914 | − | 7.79273i | 0.349201 | − | 0.604833i | ||||
\(167\) | 0.331336 | + | 0.0887813i | 0.0256396 | + | 0.00687010i | 0.271616 | − | 0.962406i | \(-0.412442\pi\) |
−0.245976 | + | 0.969276i | \(0.579109\pi\) | |||||||
\(168\) | −14.9698 | + | 19.7775i | −1.15494 | + | 1.52587i | ||||
\(169\) | 12.9847 | − | 0.630284i | 0.998824 | − | 0.0484833i | ||||
\(170\) | −6.89813 | − | 11.9479i | −0.529063 | − | 0.916363i | ||||
\(171\) | 0.931473 | + | 0.931473i | 0.0712315 | + | 0.0712315i | ||||
\(172\) | −45.2239 | −3.44829 | ||||||||
\(173\) | 9.25073 | 0.703320 | 0.351660 | − | 0.936128i | \(-0.385617\pi\) | ||||
0.351660 | + | 0.936128i | \(0.385617\pi\) | |||||||
\(174\) | 14.7369 | + | 14.7369i | 1.11720 | + | 1.11720i | ||||
\(175\) | −18.3736 | − | 7.46910i | −1.38891 | − | 0.564611i | ||||
\(176\) | 6.27272 | − | 1.68077i | 0.472824 | − | 0.126693i | ||||
\(177\) | −0.841844 | + | 3.14180i | −0.0632769 | + | 0.236152i | ||||
\(178\) | 24.7099 | − | 14.2663i | 1.85208 | − | 1.06930i | ||||
\(179\) | 14.6054i | 1.09166i | 0.837897 | + | 0.545829i | \(0.183785\pi\) | ||||
−0.837897 | + | 0.545829i | \(0.816215\pi\) | |||||||
\(180\) | 4.97505 | + | 18.5671i | 0.370819 | + | 1.38391i | ||||
\(181\) | 8.63806 | 0.642062 | 0.321031 | − | 0.947069i | \(-0.395971\pi\) | ||||
0.321031 | + | 0.947069i | \(0.395971\pi\) | |||||||
\(182\) | −10.6923 | − | 23.7171i | −0.792563 | − | 1.75802i | ||||
\(183\) | 13.0177 | 0.962293 | ||||||||
\(184\) | −17.4410 | − | 65.0908i | −1.28577 | − | 4.79856i | ||||
\(185\) | − | 3.59503i | − | 0.264312i | ||||||
\(186\) | 1.70841 | − | 0.986352i | 0.125267 | − | 0.0723228i | ||||
\(187\) | −0.163707 | + | 0.610962i | −0.0119714 | + | 0.0446779i | ||||
\(188\) | −4.92806 | + | 1.32047i | −0.359415 | + | 0.0963051i | ||||
\(189\) | 0.362619 | + | 2.62078i | 0.0263767 | + | 0.190634i | ||||
\(190\) | 8.98007 | + | 8.98007i | 0.651483 | + | 0.651483i | ||||
\(191\) | −7.04823 | −0.509992 | −0.254996 | − | 0.966942i | \(-0.582074\pi\) | ||||
−0.254996 | + | 0.966942i | \(0.582074\pi\) | |||||||
\(192\) | 28.7565 | 2.07532 | ||||||||
\(193\) | 16.3420 | + | 16.3420i | 1.17633 | + | 1.17633i | 0.980673 | + | 0.195652i | \(0.0626822\pi\) |
0.195652 | + | 0.980673i | \(0.437318\pi\) | |||||||
\(194\) | 3.55062 | + | 6.14986i | 0.254920 | + | 0.441534i | ||||
\(195\) | −12.3878 | − | 2.99933i | −0.887109 | − | 0.214786i | ||||
\(196\) | −26.5577 | + | 27.2672i | −1.89698 | + | 1.94766i | ||||
\(197\) | −18.7705 | − | 5.02954i | −1.33734 | − | 0.358340i | −0.481895 | − | 0.876229i | \(-0.660051\pi\) |
−0.855448 | + | 0.517889i | \(0.826718\pi\) | |||||||
\(198\) | 0.602706 | − | 1.04392i | 0.0428324 | − | 0.0741879i | ||||
\(199\) | 8.90538 | + | 15.4246i | 0.631285 | + | 1.09342i | 0.987289 | + | 0.158934i | \(0.0508057\pi\) |
−0.356004 | + | 0.934485i | \(0.615861\pi\) | |||||||
\(200\) | 18.1897 | + | 67.8848i | 1.28620 | + | 4.80018i | ||||
\(201\) | −4.49370 | − | 4.49370i | −0.316961 | − | 0.316961i | ||||
\(202\) | 1.02047 | + | 3.80846i | 0.0718002 | + | 0.267962i | ||||
\(203\) | 12.4138 | + | 15.9591i | 0.871278 | + | 1.12011i | ||||
\(204\) | −3.89072 | + | 6.73893i | −0.272405 | + | 0.471819i | ||||
\(205\) | 8.85563 | + | 5.11280i | 0.618504 | + | 0.357094i | ||||
\(206\) | 25.8513 | − | 25.8513i | 1.80115 | − | 1.80115i | ||||
\(207\) | −6.22490 | − | 3.59395i | −0.432661 | − | 0.249797i | ||||
\(208\) | −25.3669 | + | 46.5059i | −1.75888 | + | 3.22460i | ||||
\(209\) | − | 0.582242i | − | 0.0402745i | ||||||
\(210\) | 3.49591 | + | 25.2663i | 0.241241 | + | 1.74354i | ||||
\(211\) | −5.03848 | − | 8.72690i | −0.346863 | − | 0.600785i | 0.638827 | − | 0.769350i | \(-0.279420\pi\) |
−0.985690 | + | 0.168565i | \(0.946087\pi\) | |||||||
\(212\) | 27.0120i | 1.85519i | ||||||||
\(213\) | 1.82023 | − | 0.487730i | 0.124720 | − | 0.0334187i | ||||
\(214\) | −4.97813 | − | 1.33388i | −0.340298 | − | 0.0911825i | ||||
\(215\) | −20.7892 | + | 20.7892i | −1.41781 | + | 1.41781i | ||||
\(216\) | 6.62917 | − | 6.62917i | 0.451058 | − | 0.451058i | ||||
\(217\) | 1.76325 | − | 0.744012i | 0.119697 | − | 0.0505068i | ||||
\(218\) | 17.4202 | − | 10.0576i | 1.17985 | − | 0.681184i | ||||
\(219\) | −12.2890 | + | 3.29282i | −0.830413 | + | 0.222508i | ||||
\(220\) | 4.24805 | − | 7.35784i | 0.286404 | − | 0.496066i | ||||
\(221\) | −2.68744 | − | 4.40455i | −0.180777 | − | 0.296282i | ||||
\(222\) | −2.40191 | + | 1.38674i | −0.161206 | + | 0.0930722i | ||||
\(223\) | −0.246185 | + | 0.918774i | −0.0164857 | + | 0.0615256i | −0.973679 | − | 0.227925i | \(-0.926806\pi\) |
0.957193 | + | 0.289451i | \(0.0934726\pi\) | |||||||
\(224\) | 55.9697 | + | 6.99362i | 3.73963 | + | 0.467281i | ||||
\(225\) | 6.49210 | + | 3.74822i | 0.432807 | + | 0.249881i | ||||
\(226\) | −16.2999 | − | 4.36755i | −1.08425 | − | 0.290525i | ||||
\(227\) | −6.34800 | + | 23.6911i | −0.421331 | + | 1.57243i | 0.350475 | + | 0.936572i | \(0.386020\pi\) |
−0.771806 | + | 0.635858i | \(0.780646\pi\) | |||||||
\(228\) | 1.85391 | − | 6.91890i | 0.122779 | − | 0.458216i | ||||
\(229\) | −19.9283 | − | 5.33978i | −1.31690 | − | 0.352863i | −0.469085 | − | 0.883153i | \(-0.655416\pi\) |
−0.847816 | + | 0.530290i | \(0.822083\pi\) | |||||||
\(230\) | −60.0126 | − | 34.6483i | −3.95711 | − | 2.28464i | ||||
\(231\) | 0.705763 | − | 0.932428i | 0.0464358 | − | 0.0613493i | ||||
\(232\) | 18.5428 | − | 69.2025i | 1.21739 | − | 4.54337i | ||||
\(233\) | −19.6906 | + | 11.3684i | −1.28998 | + | 0.744768i | −0.978650 | − | 0.205536i | \(-0.934106\pi\) |
−0.311326 | + | 0.950303i | \(0.600773\pi\) | |||||||
\(234\) | 2.77455 | + | 9.43350i | 0.181378 | + | 0.616687i | ||||
\(235\) | −1.65839 | + | 2.87241i | −0.108181 | + | 0.187376i | ||||
\(236\) | 17.0839 | − | 4.57762i | 1.11207 | − | 0.297978i | ||||
\(237\) | −3.06666 | + | 1.77054i | −0.199201 | + | 0.115009i | ||||
\(238\) | −6.23174 | + | 8.23314i | −0.403944 | + | 0.533675i | ||||
\(239\) | 20.7640 | − | 20.7640i | 1.34311 | − | 1.34311i | 0.450171 | − | 0.892943i | \(-0.351363\pi\) |
0.892943 | − | 0.450171i | \(-0.148637\pi\) | |||||||
\(240\) | 36.7258 | − | 36.7258i | 2.37064 | − | 2.37064i | ||||
\(241\) | −6.55065 | − | 1.75524i | −0.421965 | − | 0.113065i | 0.0415872 | − | 0.999135i | \(-0.486759\pi\) |
−0.463552 | + | 0.886070i | \(0.653425\pi\) | |||||||
\(242\) | 28.4624 | − | 7.62647i | 1.82963 | − | 0.490248i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −35.3925 | − | 61.3016i | −2.26577 | − | 3.92443i | ||||
\(245\) | 0.326147 | + | 24.7431i | 0.0208367 | + | 1.58078i | ||||
\(246\) | − | 7.88884i | − | 0.502974i | ||||||
\(247\) | 3.43892 | + | 3.27605i | 0.218813 | + | 0.208450i | ||||
\(248\) | −5.87286 | − | 3.39070i | −0.372927 | − | 0.215310i | ||||
\(249\) | −2.33307 | + | 2.33307i | −0.147852 | + | 0.147852i | ||||
\(250\) | 20.8430 | + | 12.0337i | 1.31823 | + | 0.761078i | ||||
\(251\) | −2.83547 | + | 4.91118i | −0.178973 | + | 0.309991i | −0.941529 | − | 0.336932i | \(-0.890611\pi\) |
0.762556 | + | 0.646922i | \(0.223944\pi\) | |||||||
\(252\) | 11.3557 | − | 8.83302i | 0.715340 | − | 0.556428i | ||||
\(253\) | 0.822274 | + | 3.06877i | 0.0516959 | + | 0.192932i | ||||
\(254\) | 13.1430 | + | 13.1430i | 0.824662 | + | 0.824662i | ||||
\(255\) | 1.30931 | + | 4.88639i | 0.0819919 | + | 0.305998i | ||||
\(256\) | −20.0419 | − | 34.7137i | −1.25262 | − | 2.16960i | ||||
\(257\) | 0.596987 | − | 1.03401i | 0.0372390 | − | 0.0644999i | −0.846805 | − | 0.531903i | \(-0.821477\pi\) |
0.884044 | + | 0.467403i | \(0.154810\pi\) | |||||||
\(258\) | 21.9089 | + | 5.87046i | 1.36399 | + | 0.365479i | ||||
\(259\) | −2.47901 | + | 1.04603i | −0.154038 | + | 0.0649972i | ||||
\(260\) | 19.5559 | + | 66.4902i | 1.21280 | + | 4.12354i | ||||
\(261\) | −3.82097 | − | 6.61812i | −0.236512 | − | 0.409651i | ||||
\(262\) | −7.08033 | − | 7.08033i | −0.437424 | − | 0.437424i | ||||
\(263\) | −24.1173 | −1.48714 | −0.743569 | − | 0.668660i | \(-0.766868\pi\) | ||||
−0.743569 | + | 0.668660i | \(0.766868\pi\) | |||||||
\(264\) | −4.14374 | −0.255030 | ||||||||
\(265\) | 12.4173 | + | 12.4173i | 0.762786 | + | 0.762786i | ||||
\(266\) | 3.57945 | − | 8.80523i | 0.219470 | − | 0.539883i | ||||
\(267\) | −10.1057 | + | 2.70782i | −0.618459 | + | 0.165716i | ||||
\(268\) | −8.94384 | + | 33.3789i | −0.546332 | + | 2.03894i | ||||
\(269\) | 15.9791 | − | 9.22552i | 0.974261 | − | 0.562490i | 0.0737284 | − | 0.997278i | \(-0.476510\pi\) |
0.900533 | + | 0.434788i | \(0.143177\pi\) | |||||||
\(270\) | − | 9.64073i | − | 0.586716i | ||||||
\(271\) | −0.254418 | − | 0.949503i | −0.0154548 | − | 0.0576782i | 0.957768 | − | 0.287543i | \(-0.0928383\pi\) |
−0.973223 | + | 0.229865i | \(0.926172\pi\) | |||||||
\(272\) | 21.0254 | 1.27486 | ||||||||
\(273\) | 1.53619 | + | 9.41489i | 0.0929747 | + | 0.569815i | ||||
\(274\) | −21.4983 | −1.29876 | ||||||||
\(275\) | −0.857569 | − | 3.20049i | −0.0517134 | − | 0.192997i | ||||
\(276\) | 39.0850i | 2.35264i | ||||||||
\(277\) | −15.6299 | + | 9.02390i | −0.939107 | + | 0.542194i | −0.889680 | − | 0.456584i | \(-0.849073\pi\) |
−0.0494268 | + | 0.998778i | \(0.515739\pi\) | |||||||
\(278\) | 8.41307 | − | 31.3980i | 0.504582 | − | 1.88313i | ||||
\(279\) | −0.698697 | + | 0.187215i | −0.0418299 | + | 0.0112083i | ||||
\(280\) | 69.2104 | − | 53.8354i | 4.13611 | − | 3.21728i | ||||
\(281\) | 15.4188 | + | 15.4188i | 0.919807 | + | 0.919807i | 0.997015 | − | 0.0772077i | \(-0.0246005\pi\) |
−0.0772077 | + | 0.997015i | \(0.524600\pi\) | |||||||
\(282\) | 2.55882 | 0.152376 | ||||||||
\(283\) | −27.4720 | −1.63304 | −0.816521 | − | 0.577316i | \(-0.804100\pi\) | ||||
−0.816521 | + | 0.577316i | \(0.804100\pi\) | |||||||
\(284\) | −7.24564 | − | 7.24564i | −0.429950 | − | 0.429950i | ||||
\(285\) | −2.32835 | − | 4.03282i | −0.137919 | − | 0.238884i | ||||
\(286\) | 2.08118 | − | 3.81548i | 0.123063 | − | 0.225614i | ||||
\(287\) | 0.948921 | − | 7.59418i | 0.0560130 | − | 0.448270i | ||||
\(288\) | −20.5926 | − | 5.51778i | −1.21343 | − | 0.325138i | ||||
\(289\) | 7.47606 | − | 12.9489i | 0.439768 | − | 0.761701i | ||||
\(290\) | −36.8370 | − | 63.8035i | −2.16314 | − | 3.74667i | ||||
\(291\) | −0.673929 | − | 2.51514i | −0.0395064 | − | 0.147440i | ||||
\(292\) | 48.9177 | + | 48.9177i | 2.86269 | + | 2.86269i | ||||
\(293\) | −2.03171 | − | 7.58244i | −0.118694 | − | 0.442971i | 0.880843 | − | 0.473409i | \(-0.156977\pi\) |
−0.999537 | + | 0.0304377i | \(0.990310\pi\) | |||||||
\(294\) | 16.4055 | − | 9.76227i | 0.956790 | − | 0.569347i | ||||
\(295\) | 5.74908 | − | 9.95770i | 0.334724 | − | 0.579760i | ||||
\(296\) | 8.25685 | + | 4.76709i | 0.479920 | + | 0.277082i | ||||
\(297\) | −0.312538 | + | 0.312538i | −0.0181353 | + | 0.0181353i | ||||
\(298\) | 51.4222 | + | 29.6886i | 2.97881 | + | 1.71982i | ||||
\(299\) | −22.7518 | − | 12.4101i | −1.31577 | − | 0.717695i | ||||
\(300\) | − | 40.7627i | − | 2.35344i | ||||||
\(301\) | 20.3844 | + | 8.28654i | 1.17494 | + | 0.477628i | ||||
\(302\) | 19.0373 | + | 32.9736i | 1.09548 | + | 1.89742i | ||||
\(303\) | − | 1.44573i | − | 0.0830552i | ||||||
\(304\) | −18.6949 | + | 5.00927i | −1.07222 | + | 0.287302i | ||||
\(305\) | −44.4498 | − | 11.9103i | −2.54519 | − | 0.681981i | ||||
\(306\) | 2.75965 | − | 2.75965i | 0.157759 | − | 0.157759i | ||||
\(307\) | 16.1223 | − | 16.1223i | 0.920147 | − | 0.920147i | −0.0768923 | − | 0.997039i | \(-0.524500\pi\) |
0.997039 | + | 0.0768923i | \(0.0244998\pi\) | |||||||
\(308\) | −6.30974 | − | 0.788426i | −0.359531 | − | 0.0449247i | ||||
\(309\) | −11.6095 | + | 6.70272i | −0.660439 | + | 0.381305i | ||||
\(310\) | −6.73595 | + | 1.80489i | −0.382576 | + | 0.102511i | ||||
\(311\) | 2.75580 | − | 4.77319i | 0.156267 | − | 0.270663i | −0.777253 | − | 0.629189i | \(-0.783387\pi\) |
0.933520 | + | 0.358526i | \(0.116721\pi\) | |||||||
\(312\) | 23.3152 | − | 24.4744i | 1.31996 | − | 1.38559i | ||||
\(313\) | 16.8101 | − | 9.70534i | 0.950165 | − | 0.548578i | 0.0570329 | − | 0.998372i | \(-0.481836\pi\) |
0.893132 | + | 0.449794i | \(0.148503\pi\) | |||||||
\(314\) | −10.5702 | + | 39.4487i | −0.596513 | + | 2.22622i | ||||
\(315\) | 1.15965 | − | 9.28064i | 0.0653389 | − | 0.522905i | ||||
\(316\) | 16.6753 | + | 9.62750i | 0.938060 | + | 0.541589i | ||||
\(317\) | −27.1214 | − | 7.26716i | −1.52329 | − | 0.408164i | −0.602467 | − | 0.798144i | \(-0.705815\pi\) |
−0.920823 | + | 0.389980i | \(0.872482\pi\) | |||||||
\(318\) | 3.50640 | − | 13.0860i | 0.196629 | − | 0.733829i | ||||
\(319\) | −0.874216 | + | 3.26262i | −0.0489467 | + | 0.182671i | ||||
\(320\) | −98.1911 | − | 26.3102i | −5.48905 | − | 1.47079i | ||||
\(321\) | 1.63658 | + | 0.944877i | 0.0913447 | + | 0.0527379i | ||||
\(322\) | −6.43062 | + | 51.4640i | −0.358364 | + | 2.86798i | ||||
\(323\) | 0.487902 | − | 1.82088i | 0.0271476 | − | 0.101316i | ||||
\(324\) | −4.70911 | + | 2.71881i | −0.261617 | + | 0.151045i | ||||
\(325\) | 23.7284 | + | 12.9428i | 1.31622 | + | 0.717937i | ||||
\(326\) | 12.0619 | − | 20.8918i | 0.668045 | − | 1.15709i | ||||
\(327\) | −7.12442 | + | 1.90898i | −0.393981 | + | 0.105567i | ||||
\(328\) | −23.4856 | + | 13.5594i | −1.29677 | + | 0.748692i | ||||
\(329\) | 2.46325 | + | 0.307792i | 0.135803 | + | 0.0169691i | ||||
\(330\) | −3.01310 | + | 3.01310i | −0.165866 | + | 0.165866i | ||||
\(331\) | 5.36907 | − | 5.36907i | 0.295111 | − | 0.295111i | −0.543985 | − | 0.839095i | \(-0.683085\pi\) |
0.839095 | + | 0.543985i | \(0.183085\pi\) | |||||||
\(332\) | 17.3298 | + | 4.64352i | 0.951098 | + | 0.254846i | ||||
\(333\) | 0.982321 | − | 0.263212i | 0.0538309 | − | 0.0144239i | ||||
\(334\) | 0.935496i | 0.0511881i | ||||||||
\(335\) | 11.2327 | + | 19.4555i | 0.613705 | + | 1.06297i | ||||
\(336\) | −36.0108 | − | 14.6389i | −1.96455 | − | 0.798615i | ||||
\(337\) | 3.26189i | 0.177686i | 0.996046 | + | 0.0888431i | \(0.0283170\pi\) | ||||
−0.996046 | + | 0.0888431i | \(0.971683\pi\) | |||||||
\(338\) | 10.8256 | + | 33.7604i | 0.588836 | + | 1.83632i | ||||
\(339\) | 5.35865 | + | 3.09382i | 0.291042 | + | 0.168033i | ||||
\(340\) | 19.4508 | − | 19.4508i | 1.05487 | − | 1.05487i | ||||
\(341\) | 0.276882 | + | 0.159858i | 0.0149940 | + | 0.00865678i | ||||
\(342\) | −1.79627 | + | 3.11123i | −0.0971312 | + | 0.168236i | ||||
\(343\) | 16.9670 | − | 7.42428i | 0.916133 | − | 0.400873i | ||||
\(344\) | −20.1804 | − | 75.3143i | −1.08805 | − | 4.06067i | ||||
\(345\) | 17.9672 | + | 17.9672i | 0.967320 | + | 0.967320i | ||||
\(346\) | 6.52964 | + | 24.3689i | 0.351035 | + | 1.31008i | ||||
\(347\) | 15.4833 | + | 26.8178i | 0.831185 | + | 1.43965i | 0.897099 | + | 0.441829i | \(0.145670\pi\) |
−0.0659143 | + | 0.997825i | \(0.520996\pi\) | |||||||
\(348\) | −20.7770 | + | 35.9868i | −1.11376 | + | 1.92909i | ||||
\(349\) | 11.7105 | + | 3.13781i | 0.626847 | + | 0.167963i | 0.558239 | − | 0.829680i | \(-0.311477\pi\) |
0.0686086 | + | 0.997644i | \(0.478144\pi\) | |||||||
\(350\) | 6.70664 | − | 53.6730i | 0.358485 | − | 2.86894i | ||||
\(351\) | −0.0874303 | − | 3.60449i | −0.00466668 | − | 0.192394i | ||||
\(352\) | 4.71147 | + | 8.16050i | 0.251122 | + | 0.434956i | ||||
\(353\) | −20.7922 | − | 20.7922i | −1.10665 | − | 1.10665i | −0.993587 | − | 0.113068i | \(-0.963932\pi\) |
−0.113068 | − | 0.993587i | \(-0.536068\pi\) | |||||||
\(354\) | −8.87058 | −0.471466 | ||||||||
\(355\) | −6.66157 | −0.353559 | ||||||||
\(356\) | 40.2269 | + | 40.2269i | 2.13202 | + | 2.13202i | ||||
\(357\) | 2.98852 | − | 2.32462i | 0.158169 | − | 0.123032i | ||||
\(358\) | −38.4746 | + | 10.3092i | −2.03344 | + | 0.544860i | ||||
\(359\) | −2.40975 | + | 8.99331i | −0.127182 | + | 0.474649i | −0.999908 | − | 0.0135610i | \(-0.995683\pi\) |
0.872726 | + | 0.488210i | \(0.162350\pi\) | |||||||
\(360\) | −28.7010 | + | 16.5706i | −1.51268 | + | 0.873345i | ||||
\(361\) | − | 17.2647i | − | 0.908669i | ||||||
\(362\) | 6.09719 | + | 22.7550i | 0.320461 | + | 1.19598i | ||||
\(363\) | −10.8046 | −0.567097 | ||||||||
\(364\) | 40.1592 | − | 32.8314i | 2.10491 | − | 1.72083i | ||||
\(365\) | 44.9744 | 2.35407 | ||||||||
\(366\) | 9.18853 | + | 34.2921i | 0.480292 | + | 1.79247i | ||||
\(367\) | 25.2235i | 1.31666i | 0.752731 | + | 0.658329i | \(0.228736\pi\) | ||||
−0.752731 | + | 0.658329i | \(0.771264\pi\) | |||||||
\(368\) | 91.4589 | − | 52.8038i | 4.76763 | − | 2.75259i | ||||
\(369\) | −0.748673 | + | 2.79409i | −0.0389744 | + | 0.145454i | ||||
\(370\) | 9.47029 | − | 2.53756i | 0.492337 | − | 0.131921i | ||||
\(371\) | 4.94950 | − | 12.1755i | 0.256965 | − | 0.632120i | ||||
\(372\) | 2.78124 | + | 2.78124i | 0.144201 | + | 0.144201i | ||||
\(373\) | −1.04834 | −0.0542808 | −0.0271404 | − | 0.999632i | \(-0.508640\pi\) | ||||
−0.0271404 | + | 0.999632i | \(0.508640\pi\) | |||||||
\(374\) | −1.72499 | −0.0891972 | ||||||||
\(375\) | −6.24018 | − | 6.24018i | −0.322242 | − | 0.322242i | ||||
\(376\) | −4.39812 | − | 7.61777i | −0.226816 | − | 0.392857i | ||||
\(377\) | −14.3513 | − | 23.5209i | −0.739129 | − | 1.21139i | ||||
\(378\) | −6.64790 | + | 2.80512i | −0.341931 | + | 0.144280i | ||||
\(379\) | −15.3006 | − | 4.09979i | −0.785941 | − | 0.210592i | −0.156539 | − | 0.987672i | \(-0.550034\pi\) |
−0.629402 | + | 0.777080i | \(0.716700\pi\) | |||||||
\(380\) | −12.6607 | + | 21.9289i | −0.649478 | + | 1.12493i | ||||
\(381\) | −3.40770 | − | 5.90231i | −0.174582 | − | 0.302384i | ||||
\(382\) | −4.97500 | − | 18.5669i | −0.254543 | − | 0.949968i | ||||
\(383\) | 18.3682 | + | 18.3682i | 0.938571 | + | 0.938571i | 0.998219 | − | 0.0596485i | \(-0.0189980\pi\) |
−0.0596485 | + | 0.998219i | \(0.518998\pi\) | |||||||
\(384\) | 9.26222 | + | 34.5671i | 0.472661 | + | 1.76399i | ||||
\(385\) | −3.26299 | + | 2.53812i | −0.166297 | + | 0.129355i | ||||
\(386\) | −31.5143 | + | 54.5844i | −1.60404 | + | 2.77827i | ||||
\(387\) | −7.20261 | − | 4.15843i | −0.366129 | − | 0.211385i | ||||
\(388\) | −10.0118 | + | 10.0118i | −0.508271 | + | 0.508271i | ||||
\(389\) | −20.0494 | − | 11.5755i | −1.01655 | − | 0.586903i | −0.103444 | − | 0.994635i | \(-0.532986\pi\) |
−0.913102 | + | 0.407732i | \(0.866320\pi\) | |||||||
\(390\) | −0.842892 | − | 34.7499i | −0.0426815 | − | 1.75963i | ||||
\(391\) | 10.2862i | 0.520194i | ||||||||
\(392\) | −57.2608 | − | 32.0608i | −2.89211 | − | 1.61931i | ||||
\(393\) | 1.83578 | + | 3.17967i | 0.0926031 | + | 0.160393i | ||||
\(394\) | − | 52.9967i | − | 2.66994i | ||||||
\(395\) | 12.0913 | − | 3.23985i | 0.608378 | − | 0.163014i | ||||
\(396\) | 2.32151 | + | 0.622047i | 0.116660 | + | 0.0312590i | ||||
\(397\) | −8.35961 | + | 8.35961i | −0.419557 | + | 0.419557i | −0.885051 | − | 0.465494i | \(-0.845877\pi\) |
0.465494 | + | 0.885051i | \(0.345877\pi\) | |||||||
\(398\) | −34.3466 | + | 34.3466i | −1.72164 | + | 1.72164i | ||||
\(399\) | −2.10342 | + | 2.77896i | −0.105303 | + | 0.139122i | ||||
\(400\) | −95.3847 | + | 55.0704i | −4.76923 | + | 2.75352i | ||||
\(401\) | −20.1219 | + | 5.39164i | −1.00484 | + | 0.269245i | −0.723471 | − | 0.690355i | \(-0.757454\pi\) |
−0.281367 | + | 0.959600i | \(0.590788\pi\) | |||||||
\(402\) | 8.66575 | − | 15.0095i | 0.432208 | − | 0.748607i | ||||
\(403\) | −2.50208 | + | 0.735903i | −0.124637 | + | 0.0366580i | ||||
\(404\) | −6.80812 | + | 3.93067i | −0.338717 | + | 0.195558i | ||||
\(405\) | −0.914933 | + | 3.41458i | −0.0454634 | + | 0.169672i | ||||
\(406\) | −33.2783 | + | 43.9661i | −1.65158 | + | 2.18200i | ||||
\(407\) | −0.389277 | − | 0.224749i | −0.0192957 | − | 0.0111404i | ||||
\(408\) | −12.9589 | − | 3.47234i | −0.641563 | − | 0.171906i | ||||
\(409\) | 4.11554 | − | 15.3594i | 0.203501 | − | 0.759474i | −0.786401 | − | 0.617717i | \(-0.788058\pi\) |
0.989901 | − | 0.141758i | \(-0.0452754\pi\) | |||||||
\(410\) | −7.21775 | + | 26.9370i | −0.356459 | + | 1.33032i | ||||
\(411\) | 7.61433 | + | 2.04025i | 0.375587 | + | 0.100638i | ||||
\(412\) | 63.1278 | + | 36.4468i | 3.11008 | + | 1.79561i | ||||
\(413\) | −8.53926 | − | 1.06701i | −0.420189 | − | 0.0525042i | ||||
\(414\) | 5.07358 | − | 18.9349i | 0.249353 | − | 0.930598i | ||||
\(415\) | 10.1010 | − | 5.83183i | 0.495840 | − | 0.286274i | ||||
\(416\) | −74.7084 | − | 18.0884i | −3.66288 | − | 0.886855i | ||||
\(417\) | −5.95952 | + | 10.3222i | −0.291839 | + | 0.505480i | ||||
\(418\) | 1.53378 | − | 0.410976i | 0.0750198 | − | 0.0201015i | ||||
\(419\) | 4.29128 | − | 2.47757i | 0.209643 | − | 0.121037i | −0.391503 | − | 0.920177i | \(-0.628045\pi\) |
0.601145 | + | 0.799140i | \(0.294711\pi\) | |||||||
\(420\) | −46.8564 | + | 19.7713i | −2.28636 | + | 0.964743i | ||||
\(421\) | 0.811225 | − | 0.811225i | 0.0395367 | − | 0.0395367i | −0.687062 | − | 0.726599i | \(-0.741100\pi\) |
0.726599 | + | 0.687062i | \(0.241100\pi\) | |||||||
\(422\) | 19.4326 | − | 19.4326i | 0.945965 | − | 0.945965i | ||||
\(423\) | −0.906290 | − | 0.242840i | −0.0440653 | − | 0.0118073i | ||||
\(424\) | −44.9848 | + | 12.0536i | −2.18465 | + | 0.585376i | ||||
\(425\) | − | 10.7277i | − | 0.520369i | ||||||
\(426\) | 2.56963 | + | 4.45073i | 0.124499 | + | 0.215638i | ||||
\(427\) | 4.72045 | + | 34.1165i | 0.228439 | + | 1.65101i | ||||
\(428\) | − | 10.2758i | − | 0.496697i | ||||||
\(429\) | −1.09922 | + | 1.15387i | −0.0530707 | + | 0.0557092i | ||||
\(430\) | −69.4384 | − | 40.0903i | −3.34862 | − | 1.93333i | ||||
\(431\) | −14.4954 | + | 14.4954i | −0.698217 | + | 0.698217i | −0.964026 | − | 0.265809i | \(-0.914361\pi\) |
0.265809 | + | 0.964026i | \(0.414361\pi\) | |||||||
\(432\) | 12.7240 | + | 7.34621i | 0.612184 | + | 0.353445i | ||||
\(433\) | 0.246122 | − | 0.426295i | 0.0118279 | − | 0.0204864i | −0.860051 | − | 0.510208i | \(-0.829568\pi\) |
0.871879 | + | 0.489722i | \(0.162902\pi\) | |||||||
\(434\) | 3.20452 | + | 4.11971i | 0.153822 | + | 0.197752i | ||||
\(435\) | 6.99187 | + | 26.0940i | 0.335234 | + | 1.25111i | ||||
\(436\) | 28.3596 | + | 28.3596i | 1.35818 | + | 1.35818i | ||||
\(437\) | −2.45066 | − | 9.14599i | −0.117231 | − | 0.437512i | ||||
\(438\) | −17.3484 | − | 30.0483i | −0.828938 | − | 1.43576i | ||||
\(439\) | 11.1891 | − | 19.3801i | 0.534028 | − | 0.924963i | −0.465182 | − | 0.885215i | \(-0.654011\pi\) |
0.999210 | − | 0.0397478i | \(-0.0126555\pi\) | |||||||
\(440\) | 14.1491 | + | 3.79124i | 0.674533 | + | 0.180740i | ||||
\(441\) | −6.73701 | + | 1.90069i | −0.320810 | + | 0.0905092i | ||||
\(442\) | 9.70585 | − | 10.1884i | 0.461660 | − | 0.484613i | ||||
\(443\) | 4.77420 | + | 8.26916i | 0.226829 | + | 0.392880i | 0.956867 | − | 0.290527i | \(-0.0938308\pi\) |
−0.730038 | + | 0.683407i | \(0.760497\pi\) | |||||||
\(444\) | −3.91024 | − | 3.91024i | −0.185572 | − | 0.185572i | ||||
\(445\) | 36.9842 | 1.75322 | ||||||||
\(446\) | −2.59407 | −0.122833 | ||||||||
\(447\) | −15.3953 | − | 15.3953i | −0.728172 | − | 0.728172i | ||||
\(448\) | 10.4276 | + | 75.3644i | 0.492660 | + | 3.56064i | ||||
\(449\) | −17.1874 | + | 4.60535i | −0.811124 | + | 0.217340i | −0.640462 | − | 0.767990i | \(-0.721257\pi\) |
−0.170662 | + | 0.985330i | \(0.554591\pi\) | |||||||
\(450\) | −5.29136 | + | 19.7476i | −0.249437 | + | 0.930913i | ||||
\(451\) | 1.10725 | − | 0.639270i | 0.0521383 | − | 0.0301021i | ||||
\(452\) | − | 33.6460i | − | 1.58257i | ||||||
\(453\) | −3.61340 | − | 13.4854i | −0.169772 | − | 0.633598i | ||||
\(454\) | −66.8894 | −3.13928 | ||||||||
\(455\) | 3.36854 | − | 33.5534i | 0.157920 | − | 1.57301i | ||||
\(456\) | 12.3498 | 0.578331 | ||||||||
\(457\) | −7.13005 | − | 26.6097i | −0.333530 | − | 1.24475i | −0.905455 | − | 0.424443i | \(-0.860470\pi\) |
0.571925 | − | 0.820306i | \(-0.306197\pi\) | |||||||
\(458\) | − | 56.2658i | − | 2.62913i | ||||||
\(459\) | −1.23932 | + | 0.715520i | −0.0578464 | + | 0.0333976i | ||||
\(460\) | 35.7602 | − | 133.459i | 1.66733 | − | 6.22255i | ||||
\(461\) | 10.0918 | − | 2.70408i | 0.470021 | − | 0.125942i | −0.0160314 | − | 0.999871i | \(-0.505103\pi\) |
0.486052 | + | 0.873930i | \(0.338437\pi\) | |||||||
\(462\) | 2.95443 | + | 1.20102i | 0.137453 | + | 0.0558764i | ||||
\(463\) | −10.7292 | − | 10.7292i | −0.498628 | − | 0.498628i | 0.412382 | − | 0.911011i | \(-0.364697\pi\) |
−0.911011 | + | 0.412382i | \(0.864697\pi\) | |||||||
\(464\) | 112.279 | 5.21241 | ||||||||
\(465\) | 2.55704 | 0.118580 | ||||||||
\(466\) | −43.8461 | − | 43.8461i | −2.03113 | − | 2.03113i | ||||
\(467\) | 7.08987 | + | 12.2800i | 0.328080 | + | 0.568251i | 0.982131 | − | 0.188199i | \(-0.0602651\pi\) |
−0.654051 | + | 0.756451i | \(0.726932\pi\) | |||||||
\(468\) | −16.7362 | + | 10.2116i | −0.773633 | + | 0.472033i | ||||
\(469\) | 10.1475 | − | 13.4065i | 0.468569 | − | 0.619056i | ||||
\(470\) | −8.73729 | − | 2.34115i | −0.403021 | − | 0.107989i | ||||
\(471\) | 7.48759 | − | 12.9689i | 0.345010 | − | 0.597574i | ||||
\(472\) | 15.2468 | + | 26.4083i | 0.701792 | + | 1.21554i | ||||
\(473\) | 0.951424 | + | 3.55076i | 0.0437465 | + | 0.163264i | ||||
\(474\) | −6.82869 | − | 6.82869i | −0.313652 | − | 0.313652i | ||||
\(475\) | 2.55585 | + | 9.53857i | 0.117271 | + | 0.437660i | ||||
\(476\) | −19.0721 | − | 7.75308i | −0.874169 | − | 0.355362i | ||||
\(477\) | −2.48381 | + | 4.30208i | −0.113726 | + | 0.196979i | ||||
\(478\) | 69.3544 | + | 40.0418i | 3.17220 | + | 1.83147i | ||||
\(479\) | 17.7459 | − | 17.7459i | 0.810829 | − | 0.810829i | −0.173929 | − | 0.984758i | \(-0.555646\pi\) |
0.984758 | + | 0.173929i | \(0.0556463\pi\) | |||||||
\(480\) | 65.2667 | + | 37.6817i | 2.97900 | + | 1.71993i | ||||
\(481\) | 3.51775 | − | 1.03463i | 0.160396 | − | 0.0471751i | ||||
\(482\) | − | 18.4951i | − | 0.842431i | ||||||
\(483\) | 7.16169 | − | 17.6174i | 0.325868 | − | 0.801617i | ||||
\(484\) | 29.3757 | + | 50.8803i | 1.33526 | + | 2.31274i | ||||
\(485\) | 9.20473i | 0.417965i | ||||||||
\(486\) | 2.63427 | − | 0.705851i | 0.119493 | − | 0.0320181i | ||||
\(487\) | 23.4418 | + | 6.28121i | 1.06225 | + | 0.284629i | 0.747305 | − | 0.664481i | \(-0.231347\pi\) |
0.314944 | + | 0.949110i | \(0.398014\pi\) | |||||||
\(488\) | 86.2963 | − | 86.2963i | 3.90645 | − | 3.90645i | ||||
\(489\) | −6.25479 | + | 6.25479i | −0.282851 | + | 0.282851i | ||||
\(490\) | −64.9497 | + | 18.3241i | −2.93413 | + | 0.827797i | ||||
\(491\) | −9.68019 | + | 5.58886i | −0.436861 | + | 0.252222i | −0.702265 | − | 0.711915i | \(-0.747828\pi\) |
0.265404 | + | 0.964137i | \(0.414495\pi\) | |||||||
\(492\) | 15.1932 | − | 4.07100i | 0.684961 | − | 0.183535i | ||||
\(493\) | −5.46796 | + | 9.47079i | −0.246265 | + | 0.426543i | ||||
\(494\) | −6.20263 | + | 11.3715i | −0.279069 | + | 0.511626i | ||||
\(495\) | 1.35314 | − | 0.781234i | 0.0608190 | − | 0.0351139i | ||||
\(496\) | 2.75065 | − | 10.2656i | 0.123508 | − | 0.460937i | ||||
\(497\) | 1.93829 | + | 4.59358i | 0.0869441 | + | 0.206050i | ||||
\(498\) | −7.79273 | − | 4.49914i | −0.349201 | − | 0.201611i | ||||
\(499\) | 38.1144 | + | 10.2127i | 1.70623 | + | 0.457184i | 0.974496 | − | 0.224403i | \(-0.0720431\pi\) |
0.731737 | + | 0.681587i | \(0.238710\pi\) | |||||||
\(500\) | −12.4199 | + | 46.3516i | −0.555434 | + | 2.07291i | ||||
\(501\) | 0.0887813 | − | 0.331336i | 0.00396645 | − | 0.0148030i | ||||
\(502\) | −14.9388 | − | 4.00284i | −0.666751 | − | 0.178655i | ||||
\(503\) | 7.48538 | + | 4.32169i | 0.333757 | + | 0.192694i | 0.657508 | − | 0.753448i | \(-0.271611\pi\) |
−0.323751 | + | 0.946142i | \(0.604944\pi\) | |||||||
\(504\) | 19.7775 | + | 14.9698i | 0.880959 | + | 0.666806i | ||||
\(505\) | −1.32275 | + | 4.93657i | −0.0588616 | + | 0.219674i | ||||
\(506\) | −7.50357 | + | 4.33219i | −0.333574 | + | 0.192589i | ||||
\(507\) | −0.630284 | − | 12.9847i | −0.0279919 | − | 0.576671i | ||||
\(508\) | −18.5297 | + | 32.0945i | −0.822125 | + | 1.42396i | ||||
\(509\) | 5.40390 | − | 1.44797i | 0.239524 | − | 0.0641801i | −0.137060 | − | 0.990563i | \(-0.543765\pi\) |
0.376584 | + | 0.926383i | \(0.377099\pi\) | |||||||
\(510\) | −11.9479 | + | 6.89813i | −0.529063 | + | 0.305454i | ||||
\(511\) | −13.0860 | − | 31.0127i | −0.578891 | − | 1.37192i | ||||
\(512\) | 26.6889 | − | 26.6889i | 1.17950 | − | 1.17950i | ||||
\(513\) | 0.931473 | − | 0.931473i | 0.0411255 | − | 0.0411255i | ||||
\(514\) | 3.14525 | + | 0.842768i | 0.138731 | + | 0.0371729i | ||||
\(515\) | 45.7739 | − | 12.2651i | 2.01704 | − | 0.540464i | ||||
\(516\) | 45.2239i | 1.99087i | ||||||||
\(517\) | 0.207354 | + | 0.359147i | 0.00911940 | + | 0.0157953i | ||||
\(518\) | −4.50534 | − | 5.79203i | −0.197953 | − | 0.254487i | ||||
\(519\) | − | 9.25073i | − | 0.406062i | ||||||
\(520\) | −102.004 | + | 62.2378i | −4.47317 | + | 2.72931i | ||||
\(521\) | 5.55782 | + | 3.20881i | 0.243493 | + | 0.140581i | 0.616781 | − | 0.787135i | \(-0.288436\pi\) |
−0.373288 | + | 0.927715i | \(0.621770\pi\) | |||||||
\(522\) | 14.7369 | − | 14.7369i | 0.645016 | − | 0.645016i | ||||
\(523\) | 27.3972 | + | 15.8178i | 1.19799 | + | 0.691663i | 0.960108 | − | 0.279630i | \(-0.0902119\pi\) |
0.237887 | + | 0.971293i | \(0.423545\pi\) | |||||||
\(524\) | 9.98229 | − | 17.2898i | 0.436078 | − | 0.755310i | ||||
\(525\) | −7.46910 | + | 18.3736i | −0.325978 | + | 0.801888i | ||||
\(526\) | −17.0232 | − | 63.5316i | −0.742248 | − | 2.77011i | ||||
\(527\) | 0.731951 | + | 0.731951i | 0.0318843 | + | 0.0318843i | ||||
\(528\) | −1.68077 | − | 6.27272i | −0.0731461 | − | 0.272985i | ||||
\(529\) | 14.3329 | + | 24.8254i | 0.623171 | + | 1.07936i | ||||
\(530\) | −23.9457 | + | 41.4752i | −1.04014 | + | 1.80157i | ||||
\(531\) | 3.14180 | + | 0.841844i | 0.136343 | + | 0.0365329i | ||||
\(532\) | 18.8052 | + | 2.34978i | 0.815310 | + | 0.101876i | ||||
\(533\) | −2.45430 | + | 10.1367i | −0.106307 | + | 0.439070i | ||||
\(534\) | −14.2663 | − | 24.7099i | −0.617361 | − | 1.06930i | ||||
\(535\) | −4.72371 | − | 4.72371i | −0.204224 | − | 0.204224i | ||||
\(536\) | −59.5790 | −2.57342 | ||||||||
\(537\) | 14.6054 | 0.630269 | ||||||||
\(538\) | 35.5814 | + | 35.5814i | 1.53402 | + | 1.53402i | ||||
\(539\) | 2.69962 | + | 1.51154i | 0.116281 | + | 0.0651065i | ||||
\(540\) | 18.5671 | − | 4.97505i | 0.799003 | − | 0.214092i | ||||
\(541\) | 4.90078 | − | 18.2900i | 0.210701 | − | 0.786347i | −0.776935 | − | 0.629581i | \(-0.783227\pi\) |
0.987636 | − | 0.156766i | \(-0.0501068\pi\) | |||||||
\(542\) | 2.32167 | − | 1.34041i | 0.0997241 | − | 0.0575758i | ||||
\(543\) | − | 8.63806i | − | 0.370695i | ||||||
\(544\) | 7.89616 | + | 29.4689i | 0.338545 | + | 1.26347i | ||||
\(545\) | 26.0735 | 1.11686 | ||||||||
\(546\) | −23.7171 | + | 10.6923i | −1.01500 | + | 0.457587i | ||||
\(547\) | −13.7543 | −0.588091 | −0.294046 | − | 0.955791i | \(-0.595002\pi\) | ||||
−0.294046 | + | 0.955791i | \(0.595002\pi\) | |||||||
\(548\) | −11.0941 | − | 41.4038i | −0.473917 | − | 1.76868i | ||||
\(549\) | − | 13.0177i | − | 0.555580i | ||||||
\(550\) | 7.82565 | − | 4.51814i | 0.333687 | − | 0.192654i | ||||
\(551\) | 2.60546 | − | 9.72373i | 0.110997 | − | 0.414245i | ||||
\(552\) | −65.0908 | + | 17.4410i | −2.77045 | + | 0.742340i | ||||
\(553\) | −5.75223 | − | 7.39503i | −0.244610 | − | 0.314468i | ||||
\(554\) | −34.8038 | − | 34.8038i | −1.47867 | − | 1.47867i | ||||
\(555\) | −3.59503 | −0.152601 | ||||||||
\(556\) | 64.8112 | 2.74861 | ||||||||
\(557\) | −12.1953 | − | 12.1953i | −0.516731 | − | 0.516731i | 0.399850 | − | 0.916581i | \(-0.369062\pi\) |
−0.916581 | + | 0.399850i | \(0.869062\pi\) | |||||||
\(558\) | −0.986352 | − | 1.70841i | −0.0417556 | − | 0.0723228i | ||||
\(559\) | −26.3253 | − | 14.3593i | −1.11344 | − | 0.607334i | ||||
\(560\) | 109.568 | + | 82.9329i | 4.63009 | + | 3.50456i | ||||
\(561\) | 0.610962 | + | 0.163707i | 0.0257948 | + | 0.00691170i | ||||
\(562\) | −29.7339 | + | 51.5006i | −1.25425 | + | 2.17242i | ||||
\(563\) | 16.5277 | + | 28.6268i | 0.696559 | + | 1.20648i | 0.969652 | + | 0.244488i | \(0.0786200\pi\) |
−0.273093 | + | 0.961988i | \(0.588047\pi\) | |||||||
\(564\) | 1.32047 | + | 4.92806i | 0.0556017 | + | 0.207509i | ||||
\(565\) | −15.4669 | − | 15.4669i | −0.650697 | − | 0.650697i | ||||
\(566\) | −19.3912 | − | 72.3688i | −0.815071 | − | 3.04189i | ||||
\(567\) | 2.62078 | − | 0.362619i | 0.110063 | − | 0.0152286i | ||||
\(568\) | 8.83340 | − | 15.2999i | 0.370641 | − | 0.641969i | ||||
\(569\) | −28.5293 | − | 16.4714i | −1.19601 | − | 0.690518i | −0.236348 | − | 0.971669i | \(-0.575950\pi\) |
−0.959664 | + | 0.281151i | \(0.909284\pi\) | |||||||
\(570\) | 8.98007 | − | 8.98007i | 0.376134 | − | 0.376134i | ||||
\(571\) | −6.40074 | − | 3.69547i | −0.267862 | − | 0.154650i | 0.360053 | − | 0.932932i | \(-0.382758\pi\) |
−0.627916 | + | 0.778281i | \(0.716092\pi\) | |||||||
\(572\) | 8.42225 | + | 2.03919i | 0.352152 | + | 0.0852629i | ||||
\(573\) | 7.04823i | 0.294444i | ||||||||
\(574\) | 20.6749 | − | 2.86064i | 0.862955 | − | 0.119401i | ||||
\(575\) | −26.9418 | − | 46.6645i | −1.12355 | − | 1.94605i | ||||
\(576\) | − | 28.7565i | − | 1.19819i | ||||||
\(577\) | −37.8634 | + | 10.1455i | −1.57627 | + | 0.422362i | −0.937770 | − | 0.347257i | \(-0.887113\pi\) |
−0.638505 | + | 0.769618i | \(0.720447\pi\) | |||||||
\(578\) | 39.3880 | + | 10.5540i | 1.63832 | + | 0.438987i | ||||
\(579\) | 16.3420 | − | 16.3420i | 0.679152 | − | 0.679152i | ||||
\(580\) | 103.870 | − | 103.870i | 4.31297 | − | 4.31297i | ||||
\(581\) | −6.96048 | − | 5.26845i | −0.288769 | − | 0.218572i | ||||
\(582\) | 6.14986 | − | 3.55062i | 0.254920 | − | 0.147178i | ||||
\(583\) | 2.12085 | − | 0.568280i | 0.0878367 | − | 0.0235358i | ||||
\(584\) | −59.6371 | + | 103.294i | −2.46780 | + | 4.27435i | ||||
\(585\) | −2.99933 | + | 12.3878i | −0.124007 | + | 0.512173i | ||||
\(586\) | 18.5401 | − | 10.7041i | 0.765886 | − | 0.442184i | ||||
\(587\) | −5.58839 | + | 20.8562i | −0.230658 | + | 0.860826i | 0.749401 | + | 0.662117i | \(0.230342\pi\) |
−0.980058 | + | 0.198709i | \(0.936325\pi\) | |||||||
\(588\) | 27.2672 | + | 26.5577i | 1.12448 | + | 1.09522i | ||||
\(589\) | −0.825203 | − | 0.476431i | −0.0340019 | − | 0.0196310i | ||||
\(590\) | 30.2893 | + | 8.11599i | 1.24699 | + | 0.334130i | ||||
\(591\) | −5.02954 | + | 18.7705i | −0.206888 | + | 0.772116i | ||||
\(592\) | −3.86723 | + | 14.4327i | −0.158942 | + | 0.593180i | ||||
\(593\) | −29.2070 | − | 7.82600i | −1.19939 | − | 0.321375i | −0.396799 | − | 0.917906i | \(-0.629879\pi\) |
−0.802591 | + | 0.596530i | \(0.796546\pi\) | |||||||
\(594\) | −1.04392 | − | 0.602706i | −0.0428324 | − | 0.0247293i | ||||
\(595\) | −12.3314 | + | 5.20331i | −0.505538 | + | 0.213315i | ||||
\(596\) | −30.6413 | + | 114.355i | −1.25512 | + | 4.68416i | ||||
\(597\) | 15.4246 | − | 8.90538i | 0.631285 | − | 0.364473i | ||||
\(598\) | 16.6322 | − | 68.6942i | 0.680142 | − | 2.80911i | ||||
\(599\) | 9.06280 | − | 15.6972i | 0.370296 | − | 0.641371i | −0.619315 | − | 0.785143i | \(-0.712590\pi\) |
0.989611 | + | 0.143771i | \(0.0459230\pi\) | |||||||
\(600\) | 67.8848 | − | 18.1897i | 2.77138 | − | 0.742590i | ||||
\(601\) | 30.9648 | − | 17.8775i | 1.26308 | − | 0.729240i | 0.289411 | − | 0.957205i | \(-0.406541\pi\) |
0.973669 | + | 0.227965i | \(0.0732073\pi\) | |||||||
\(602\) | −7.44064 | + | 59.5472i | −0.303258 | + | 2.42696i | ||||
\(603\) | −4.49370 | + | 4.49370i | −0.182998 | + | 0.182998i | ||||
\(604\) | −53.6800 | + | 53.6800i | −2.18421 | + | 2.18421i | ||||
\(605\) | 36.8933 | + | 9.88552i | 1.49992 | + | 0.401904i | ||||
\(606\) | 3.80846 | − | 1.02047i | 0.154708 | − | 0.0414539i | ||||
\(607\) | − | 3.81356i | − | 0.154787i | −0.997001 | − | 0.0773937i | \(-0.975340\pi\) | ||
0.997001 | − | 0.0773937i | \(-0.0246598\pi\) | |||||||
\(608\) | −14.0418 | − | 24.3211i | −0.569470 | − | 0.986352i | ||||
\(609\) | 15.9591 | − | 12.4138i | 0.646695 | − | 0.503033i | ||||
\(610\) | − | 125.500i | − | 5.08133i | ||||||
\(611\) | −3.28795 | − | 0.796076i | −0.133016 | − | 0.0322058i | ||||
\(612\) | 6.73893 | + | 3.89072i | 0.272405 | + | 0.157273i | ||||
\(613\) | 2.91437 | − | 2.91437i | 0.117710 | − | 0.117710i | −0.645798 | − | 0.763508i | \(-0.723475\pi\) |
0.763508 | + | 0.645798i | \(0.223475\pi\) | |||||||
\(614\) | 53.8504 | + | 31.0905i | 2.17323 | + | 1.25471i | ||||
\(615\) | 5.11280 | − | 8.85563i | 0.206168 | − | 0.357094i | ||||
\(616\) | −1.50260 | − | 10.8598i | −0.0605415 | − | 0.437556i | ||||
\(617\) | 4.26184 | + | 15.9054i | 0.171575 | + | 0.640327i | 0.997110 | + | 0.0759754i | \(0.0242070\pi\) |
−0.825535 | + | 0.564351i | \(0.809126\pi\) | |||||||
\(618\) | −25.8513 | − | 25.8513i | −1.03989 | − | 1.03989i | ||||
\(619\) | 2.63282 | + | 9.82581i | 0.105822 | + | 0.394933i | 0.998437 | − | 0.0558866i | \(-0.0177985\pi\) |
−0.892615 | + | 0.450819i | \(0.851132\pi\) | |||||||
\(620\) | −6.95211 | − | 12.0414i | −0.279203 | − | 0.483595i | ||||
\(621\) | −3.59395 | + | 6.22490i | −0.144220 | + | 0.249797i | ||||
\(622\) | 14.5191 | + | 3.89037i | 0.582161 | + | 0.155990i | ||||
\(623\) | −10.7611 | − | 25.5030i | −0.431135 | − | 1.02176i | ||||
\(624\) | 46.5059 | + | 25.3669i | 1.86173 | + | 1.01549i | ||||
\(625\) | −3.14284 | − | 5.44356i | −0.125714 | − | 0.217743i | ||||
\(626\) | 37.4320 | + | 37.4320i | 1.49608 | + | 1.49608i | ||||
\(627\) | −0.582242 | −0.0232525 | ||||||||
\(628\) | −81.4292 | −3.24938 | ||||||||
\(629\) | −1.02907 | − | 1.02907i | −0.0410318 | − | 0.0410318i | ||||
\(630\) | 25.2663 | − | 3.49591i | 1.00663 | − | 0.139281i | ||||
\(631\) | −35.7618 | + | 9.58236i | −1.42366 | + | 0.381468i | −0.886779 | − | 0.462193i | \(-0.847063\pi\) |
−0.536877 | + | 0.843661i | \(0.680396\pi\) | |||||||
\(632\) | −8.59222 | + | 32.0666i | −0.341780 | + | 1.27554i | ||||
\(633\) | −8.72690 | + | 5.03848i | −0.346863 | + | 0.200262i | ||||
\(634\) | − | 76.5747i | − | 3.04117i | ||||||
\(635\) | 6.23563 | + | 23.2717i | 0.247453 | + | 0.923509i | ||||
\(636\) | 27.0120 | 1.07109 | ||||||||
\(637\) | −24.1173 | + | 7.44005i | −0.955563 | + | 0.294786i | ||||
\(638\) | −9.21169 | −0.364694 | ||||||||
\(639\) | −0.487730 | − | 1.82023i | −0.0192943 | − | 0.0720074i | ||||
\(640\) | − | 126.506i | − | 5.00060i | ||||||
\(641\) | −26.1041 | + | 15.0712i | −1.03105 | + | 0.595278i | −0.917286 | − | 0.398230i | \(-0.869625\pi\) |
−0.113766 | + | 0.993508i | \(0.536291\pi\) | |||||||
\(642\) | −1.33388 | + | 4.97813i | −0.0526442 | + | 0.196471i | ||||
\(643\) | −36.7921 | + | 9.85840i | −1.45094 | + | 0.388778i | −0.896350 | − | 0.443348i | \(-0.853791\pi\) |
−0.554588 | + | 0.832125i | \(0.687124\pi\) | |||||||
\(644\) | −102.433 | + | 14.1730i | −4.03644 | + | 0.558494i | ||||
\(645\) | 20.7892 | + | 20.7892i | 0.818573 | + | 0.818573i | ||||
\(646\) | 5.14107 | 0.202273 | ||||||||
\(647\) | −38.7803 | −1.52461 | −0.762305 | − | 0.647218i | \(-0.775933\pi\) | ||||
−0.762305 | + | 0.647218i | \(0.775933\pi\) | |||||||
\(648\) | −6.62917 | − | 6.62917i | −0.260418 | − | 0.260418i | ||||
\(649\) | −0.718826 | − | 1.24504i | −0.0282164 | − | 0.0488722i | ||||
\(650\) | −17.3461 | + | 71.6428i | −0.680371 | + | 2.81006i | ||||
\(651\) | −0.744012 | − | 1.76325i | −0.0291601 | − | 0.0691071i | ||||
\(652\) | 46.4600 | + | 12.4489i | 1.81952 | + | 0.487538i | ||||
\(653\) | 6.50852 | − | 11.2731i | 0.254698 | − | 0.441150i | −0.710115 | − | 0.704085i | \(-0.751357\pi\) |
0.964813 | + | 0.262935i | \(0.0846906\pi\) | |||||||
\(654\) | −10.0576 | − | 17.4202i | −0.393282 | − | 0.681184i | ||||
\(655\) | −3.35924 | − | 12.5368i | −0.131256 | − | 0.489855i | ||||
\(656\) | −30.0521 | − | 30.0521i | −1.17334 | − | 1.17334i | ||||
\(657\) | 3.29282 | + | 12.2890i | 0.128465 | + | 0.479439i | ||||
\(658\) | 0.927878 | + | 6.70612i | 0.0361725 | + | 0.261432i | ||||
\(659\) | 25.0015 | − | 43.3039i | 0.973921 | − | 1.68688i | 0.290470 | − | 0.956884i | \(-0.406188\pi\) |
0.683451 | − | 0.729996i | \(-0.260478\pi\) | |||||||
\(660\) | −7.35784 | − | 4.24805i | −0.286404 | − | 0.165355i | ||||
\(661\) | −9.11369 | + | 9.11369i | −0.354481 | + | 0.354481i | −0.861774 | − | 0.507292i | \(-0.830646\pi\) |
0.507292 | + | 0.861774i | \(0.330646\pi\) | |||||||
\(662\) | 17.9333 | + | 10.3538i | 0.696999 | + | 0.402413i | ||||
\(663\) | −4.40455 | + | 2.68744i | −0.171058 | + | 0.104371i | ||||
\(664\) | 30.9326i | 1.20042i | ||||||||
\(665\) | 9.72484 | − | 7.56448i | 0.377113 | − | 0.293338i | ||||
\(666\) | 1.38674 | + | 2.40191i | 0.0537353 | + | 0.0930722i | ||||
\(667\) | 54.9295i | 2.12688i | ||||||||
\(668\) | −1.80168 | + | 0.482758i | −0.0697090 | + | 0.0186785i | ||||
\(669\) | 0.918774 | + | 0.246185i | 0.0355218 | + | 0.00951805i | ||||
\(670\) | −43.3226 | + | 43.3226i | −1.67370 | + | 1.67370i | ||||
\(671\) | −4.06852 | + | 4.06852i | −0.157063 | + | 0.157063i | ||||
\(672\) | 6.99362 | − | 55.9697i | 0.269785 | − | 2.15908i | ||||
\(673\) | 34.5128 | − | 19.9259i | 1.33037 | − | 0.768089i | 0.345013 | − | 0.938598i | \(-0.387875\pi\) |
0.985356 | + | 0.170509i | \(0.0545413\pi\) | |||||||
\(674\) | −8.59270 | + | 2.30241i | −0.330978 | + | 0.0886854i | ||||
\(675\) | 3.74822 | − | 6.49210i | 0.144269 | − | 0.249881i | ||||
\(676\) | −59.4329 | + | 38.2710i | −2.28588 | + | 1.47196i | ||||
\(677\) | −3.61272 | + | 2.08580i | −0.138848 | + | 0.0801640i | −0.567815 | − | 0.823156i | \(-0.692211\pi\) |
0.428967 | + | 0.903320i | \(0.358878\pi\) | |||||||
\(678\) | −4.36755 | + | 16.2999i | −0.167735 | + | 0.625995i | ||||
\(679\) | 6.34725 | − | 2.67826i | 0.243585 | − | 0.102782i | ||||
\(680\) | 41.0723 | + | 23.7131i | 1.57505 | + | 0.909357i | ||||
\(681\) | 23.6911 | + | 6.34800i | 0.907843 | + | 0.243256i | ||||
\(682\) | −0.225671 | + | 0.842217i | −0.00864141 | + | 0.0322502i | ||||
\(683\) | 1.82696 | − | 6.81833i | 0.0699069 | − | 0.260896i | −0.922123 | − | 0.386896i | \(-0.873547\pi\) |
0.992030 | + | 0.126000i | \(0.0402139\pi\) | |||||||
\(684\) | −6.91890 | − | 1.85391i | −0.264551 | − | 0.0708862i | ||||
\(685\) | −24.1330 | − | 13.9332i | −0.922075 | − | 0.532360i | ||||
\(686\) | 31.5338 | + | 39.4553i | 1.20396 | + | 1.50641i | ||||
\(687\) | −5.33978 | + | 19.9283i | −0.203725 | + | 0.760314i | ||||
\(688\) | 105.824 | − | 61.0974i | 4.03450 | − | 2.32932i | ||||
\(689\) | −8.57673 | + | 15.7240i | −0.326747 | + | 0.599036i | ||||
\(690\) | −34.6483 | + | 60.0126i | −1.31904 | + | 2.28464i | ||||
\(691\) | −21.8060 | + | 5.84290i | −0.829539 | + | 0.222274i | −0.648512 | − | 0.761204i | \(-0.724609\pi\) |
−0.181026 | + | 0.983478i | \(0.557942\pi\) | |||||||
\(692\) | −43.5627 | + | 25.1510i | −1.65601 | + | 0.956096i | ||||
\(693\) | −0.932428 | − | 0.705763i | −0.0354200 | − | 0.0268097i | ||||
\(694\) | −59.7165 | + | 59.7165i | −2.26681 | + | 2.26681i | ||||
\(695\) | 29.7934 | − | 29.7934i | 1.13013 | − | 1.13013i | ||||
\(696\) | −69.2025 | − | 18.5428i | −2.62311 | − | 0.702861i | ||||
\(697\) | 3.99845 | − | 1.07138i | 0.151452 | − | 0.0405815i | ||||
\(698\) | 33.0634i | 1.25147i | ||||||||
\(699\) | 11.3684 | + | 19.6906i | 0.429992 | + | 0.744768i | ||||
\(700\) | 106.830 | − | 14.7813i | 4.03780 | − | 0.558682i | ||||
\(701\) | − | 38.0674i | − | 1.43779i | −0.695120 | − | 0.718894i | \(-0.744649\pi\) | ||
0.695120 | − | 0.718894i | \(-0.255351\pi\) | |||||||
\(702\) | 9.43350 | − | 2.77455i | 0.356044 | − | 0.104719i | ||||
\(703\) | 1.16018 | + | 0.669830i | 0.0437570 | + | 0.0252631i | ||||
\(704\) | −8.98750 | + | 8.98750i | −0.338729 | + | 0.338729i | ||||
\(705\) | 2.87241 | + | 1.65839i | 0.108181 | + | 0.0624585i | ||||
\(706\) | 40.0960 | − | 69.4484i | 1.50903 | − | 2.61372i | ||||
\(707\) | 3.78896 | − | 0.524251i | 0.142498 | − | 0.0197165i | ||||
\(708\) | −4.57762 | − | 17.0839i | −0.172038 | − | 0.642053i | ||||
\(709\) | −1.28394 | − | 1.28394i | −0.0482195 | − | 0.0482195i | 0.682586 | − | 0.730805i | \(-0.260855\pi\) |
−0.730805 | + | 0.682586i | \(0.760855\pi\) | |||||||
\(710\) | −4.70208 | − | 17.5484i | −0.176466 | − | 0.658579i | ||||
\(711\) | 1.77054 | + | 3.06666i | 0.0664004 | + | 0.115009i | ||||
\(712\) | −49.0419 | + | 84.9430i | −1.83792 | + | 3.18337i | ||||
\(713\) | 5.02216 | + | 1.34568i | 0.188081 | + | 0.0503963i | ||||
\(714\) | 8.23314 | + | 6.23174i | 0.308118 | + | 0.233217i | ||||
\(715\) | 4.80907 | − | 2.93426i | 0.179849 | − | 0.109735i | ||||
\(716\) | −39.7092 | − | 68.7784i | −1.48400 | − | 2.57037i | ||||
\(717\) | −20.7640 | − | 20.7640i | −0.775447 | − | 0.775447i | ||||
\(718\) | −25.3918 | −0.947612 | ||||||||
\(719\) | 27.5916 | 1.02899 | 0.514496 | − | 0.857493i | \(-0.327979\pi\) | ||||
0.514496 | + | 0.857493i | \(0.327979\pi\) | |||||||
\(720\) | −36.7258 | − | 36.7258i | −1.36869 | − | 1.36869i | ||||
\(721\) | −21.7762 | − | 27.9953i | −0.810988 | − | 1.04260i | ||||
\(722\) | 45.4800 | − | 12.1863i | 1.69259 | − | 0.453528i | ||||
\(723\) | −1.75524 | + | 6.55065i | −0.0652781 | + | 0.243621i | ||||
\(724\) | −40.6776 | + | 23.4852i | −1.51177 | + | 0.872822i | ||||
\(725\) | − | 57.2873i | − | 2.12760i | ||||||
\(726\) | −7.62647 | − | 28.4624i | −0.283045 | − | 1.05634i | ||||
\(727\) | −1.57479 | −0.0584058 | −0.0292029 | − | 0.999574i | \(-0.509297\pi\) | ||||
−0.0292029 | + | 0.999574i | \(0.509297\pi\) | |||||||
\(728\) | 72.5966 | + | 52.2292i | 2.69061 | + | 1.93574i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 31.7452 | + | 118.475i | 1.17494 | + | 4.38495i | ||||
\(731\) | 11.9018i | 0.440202i | ||||||||
\(732\) | −61.3016 | + | 35.3925i | −2.26577 | + | 1.30814i | ||||
\(733\) | −10.0600 | + | 37.5443i | −0.371574 | + | 1.38673i | 0.486713 | + | 0.873562i | \(0.338196\pi\) |
−0.858287 | + | 0.513170i | \(0.828471\pi\) | |||||||
\(734\) | −66.4456 | + | 17.8040i | −2.45255 | + | 0.657159i | ||||
\(735\) | 24.7431 | − | 0.326147i | 0.912661 | − | 0.0120301i | ||||
\(736\) | 108.356 | + | 108.356i | 3.99407 | + | 3.99407i | ||||
\(737\) | 2.80891 | 0.103467 | ||||||||
\(738\) | −7.88884 | −0.290392 | ||||||||
\(739\) | 30.9642 | + | 30.9642i | 1.13904 | + | 1.13904i | 0.988623 | + | 0.150414i | \(0.0480607\pi\) |
0.150414 | + | 0.988623i | \(0.451939\pi\) | |||||||
\(740\) | 9.77420 | + | 16.9294i | 0.359307 | + | 0.622337i | ||||
\(741\) | 3.27605 | − | 3.43892i | 0.120349 | − | 0.126332i | ||||
\(742\) | 35.5672 | + | 4.44425i | 1.30571 | + | 0.163154i | ||||
\(743\) | 18.3147 | + | 4.90740i | 0.671900 | + | 0.180035i | 0.578610 | − | 0.815604i | \(-0.303595\pi\) |
0.0932893 | + | 0.995639i | \(0.470262\pi\) | |||||||
\(744\) | −3.39070 | + | 5.87286i | −0.124309 | + | 0.215310i | ||||
\(745\) | 38.4827 | + | 66.6541i | 1.40990 | + | 2.44202i | ||||
\(746\) | −0.739970 | − | 2.76160i | −0.0270922 | − | 0.101110i | ||||
\(747\) | 2.33307 | + | 2.33307i | 0.0853625 | + | 0.0853625i | ||||
\(748\) | −0.890174 | − | 3.32217i | −0.0325480 | − | 0.121471i | ||||
\(749\) | −1.88286 | + | 4.63174i | −0.0687984 | + | 0.169240i | ||||
\(750\) | 12.0337 | − | 20.8430i | 0.439409 | − | 0.761078i | ||||
\(751\) | 9.94670 | + | 5.74273i | 0.362960 | + | 0.209555i | 0.670378 | − | 0.742019i | \(-0.266132\pi\) |
−0.307418 | + | 0.951574i | \(0.599465\pi\) | |||||||
\(752\) | 9.74769 | − | 9.74769i | 0.355462 | − | 0.355462i | ||||
\(753\) | 4.91118 | + | 2.83547i | 0.178973 | + | 0.103330i | ||||
\(754\) | 51.8305 | − | 54.4074i | 1.88756 | − | 1.98140i | ||||
\(755\) | 49.3529i | 1.79613i | ||||||||
\(756\) | −8.83302 | − | 11.3557i | −0.321254 | − | 0.413002i | ||||
\(757\) | 0.505532 | + | 0.875607i | 0.0183739 | + | 0.0318245i | 0.875066 | − | 0.484003i | \(-0.160818\pi\) |
−0.856692 | + | 0.515828i | \(0.827484\pi\) | |||||||
\(758\) | − | 43.1999i | − | 1.56909i | ||||||
\(759\) | 3.06877 | − | 0.822274i | 0.111389 | − | 0.0298467i | ||||
\(760\) | −42.1693 | − | 11.2992i | −1.52964 | − | 0.409866i | ||||
\(761\) | 32.8804 | − | 32.8804i | 1.19191 | − | 1.19191i | 0.215383 | − | 0.976530i | \(-0.430900\pi\) |
0.976530 | − | 0.215383i | \(-0.0691001\pi\) | |||||||
\(762\) | 13.1430 | − | 13.1430i | 0.476119 | − | 0.476119i | ||||
\(763\) | −7.58649 | − | 17.9793i | −0.274649 | − | 0.650896i | ||||
\(764\) | 33.1909 | − | 19.1628i | 1.20080 | − | 0.693285i | ||||
\(765\) | 4.88639 | − | 1.30931i | 0.176668 | − | 0.0473380i | ||||
\(766\) | −35.4216 | + | 61.3520i | −1.27983 | + | 2.21674i | ||||
\(767\) | 11.3982 | + | 2.75973i | 0.411565 | + | 0.0996481i | ||||
\(768\) | −34.7137 | + | 20.0419i | −1.25262 | + | 0.723202i | ||||
\(769\) | −10.0112 | + | 37.3624i | −0.361014 | + | 1.34732i | 0.511730 | + | 0.859146i | \(0.329005\pi\) |
−0.872745 | + | 0.488177i | \(0.837662\pi\) | |||||||
\(770\) | −8.98929 | − | 6.80407i | −0.323951 | − | 0.245202i | ||||
\(771\) | −1.03401 | − | 0.596987i | −0.0372390 | − | 0.0215000i | ||||
\(772\) | −121.387 | − | 32.5256i | −4.36882 | − | 1.17062i | ||||
\(773\) | 7.72212 | − | 28.8193i | 0.277745 | − | 1.03656i | −0.676234 | − | 0.736687i | \(-0.736389\pi\) |
0.953979 | − | 0.299872i | \(-0.0969441\pi\) | |||||||
\(774\) | 5.87046 | − | 21.9089i | 0.211009 | − | 0.787498i | ||||
\(775\) | −5.23773 | − | 1.40345i | −0.188145 | − | 0.0504133i | ||||
\(776\) | −21.1409 | − | 12.2057i | −0.758913 | − | 0.438158i | ||||
\(777\) | 1.04603 | + | 2.47901i | 0.0375261 | + | 0.0889338i | ||||
\(778\) | 16.3412 | − | 60.9862i | 0.585861 | − | 2.18646i | ||||
\(779\) | −3.29998 | + | 1.90525i | −0.118234 | + | 0.0682625i | ||||
\(780\) | 66.4902 | − | 19.5559i | 2.38073 | − | 0.700212i | ||||
\(781\) | −0.416459 | + | 0.721328i | −0.0149021 | + | 0.0258111i | ||||
\(782\) | −27.0966 | + | 7.26050i | −0.968971 | + | 0.259635i | ||||
\(783\) | −6.61812 | + | 3.82097i | −0.236512 | + | 0.136550i | ||||
\(784\) | 25.3071 | − | 99.6848i | 0.903825 | − | 3.56017i | ||||
\(785\) | −37.4326 | + | 37.4326i | −1.33603 | + | 1.33603i | ||||
\(786\) | −7.08033 | + | 7.08033i | −0.252547 | + | 0.252547i | ||||
\(787\) | 4.27040 | + | 1.14425i | 0.152223 | + | 0.0407881i | 0.334126 | − | 0.942528i | \(-0.391559\pi\) |
−0.181903 | + | 0.983317i | \(0.558226\pi\) | |||||||
\(788\) | 102.067 | − | 27.3487i | 3.63598 | − | 0.974258i | ||||
\(789\) | 24.1173i | 0.858599i | ||||||||
\(790\) | 17.0693 | + | 29.5649i | 0.607298 | + | 1.05187i | ||||
\(791\) | −6.16508 | + | 15.1657i | −0.219205 | + | 0.539232i | ||||
\(792\) | 4.14374i | 0.147241i | ||||||||
\(793\) | −1.13814 | − | 46.9220i | −0.0404165 | − | 1.66625i | ||||
\(794\) | −27.9221 | − | 16.1209i | −0.990920 | − | 0.572108i | ||||
\(795\) | 12.4173 | − | 12.4173i | 0.440395 | − | 0.440395i | ||||
\(796\) | −83.8729 | − | 48.4240i | −2.97279 | − | 1.71634i | ||||
\(797\) | 8.62284 | − | 14.9352i | 0.305437 | − | 0.529032i | −0.671922 | − | 0.740622i | \(-0.734531\pi\) |
0.977358 | + | 0.211590i | \(0.0678642\pi\) | |||||||
\(798\) | −8.80523 | − | 3.57945i | −0.311702 | − | 0.126711i | ||||
\(799\) | 0.347513 | + | 1.29694i | 0.0122941 | + | 0.0458823i | ||||
\(800\) | −113.008 | − | 113.008i | −3.99542 | − | 3.99542i | ||||
\(801\) | 2.70782 | + | 10.1057i | 0.0956760 | + | 0.357068i | ||||
\(802\) | −28.4061 | − | 49.2008i | −1.00305 | − | 1.73734i | ||||
\(803\) | 2.81165 | − | 4.86991i | 0.0992208 | − | 0.171856i | ||||
\(804\) | 33.3789 | + | 8.94384i | 1.17718 | + | 0.315425i | ||||
\(805\) | −40.5728 | + | 53.6033i | −1.43000 | + | 1.88927i | ||||
\(806\) | −3.70466 | − | 6.07172i | −0.130491 | − | 0.213867i | ||||
\(807\) | −9.22552 | − | 15.9791i | −0.324754 | − | 0.562490i | ||||
\(808\) | −9.58401 | − | 9.58401i | −0.337164 | − | 0.337164i | ||||
\(809\) | 23.5998 | 0.829724 | 0.414862 | − | 0.909884i | \(-0.363830\pi\) | ||||
0.414862 | + | 0.909884i | \(0.363830\pi\) | |||||||
\(810\) | −9.64073 | −0.338741 | ||||||||
\(811\) | −16.8186 | − | 16.8186i | −0.590582 | − | 0.590582i | 0.347207 | − | 0.937789i | \(-0.387130\pi\) |
−0.937789 | + | 0.347207i | \(0.887130\pi\) | |||||||
\(812\) | −101.848 | − | 41.4025i | −3.57415 | − | 1.45294i | ||||
\(813\) | −0.949503 | + | 0.254418i | −0.0333005 | + | 0.00892285i | ||||
\(814\) | 0.317279 | − | 1.18410i | 0.0111206 | − | 0.0415027i | ||||
\(815\) | 27.0801 | − | 15.6347i | 0.948576 | − | 0.547661i | ||||
\(816\) | − | 21.0254i | − | 0.736038i | ||||||
\(817\) | −2.83557 | − | 10.5825i | −0.0992041 | − | 0.370235i | ||||
\(818\) | 43.3659 | 1.51625 | ||||||||
\(819\) | 9.41489 | − | 1.53619i | 0.328983 | − | 0.0536790i | ||||
\(820\) | −55.6029 | −1.94174 | ||||||||
\(821\) | 4.64880 | + | 17.3495i | 0.162244 | + | 0.605503i | 0.998376 | + | 0.0569742i | \(0.0181453\pi\) |
−0.836132 | + | 0.548529i | \(0.815188\pi\) | |||||||
\(822\) | 21.4983i | 0.749840i | ||||||||
\(823\) | 24.0752 | − | 13.8998i | 0.839209 | − | 0.484518i | −0.0177863 | − | 0.999842i | \(-0.505662\pi\) |
0.856995 | + | 0.515324i | \(0.172329\pi\) | |||||||
\(824\) | −32.5276 | + | 121.395i | −1.13315 | + | 4.22898i | ||||
\(825\) | −3.20049 | + | 0.857569i | −0.111427 | + | 0.0298567i | ||||
\(826\) | −3.21665 | − | 23.2479i | −0.111921 | − | 0.808897i | ||||
\(827\) | −19.2095 | − | 19.2095i | −0.667980 | − | 0.667980i | 0.289268 | − | 0.957248i | \(-0.406588\pi\) |
−0.957248 | + | 0.289268i | \(0.906588\pi\) | |||||||
\(828\) | 39.0850 | 1.35830 | ||||||||
\(829\) | 40.3767 | 1.40234 | 0.701170 | − | 0.712994i | \(-0.252661\pi\) | ||||
0.701170 | + | 0.712994i | \(0.252661\pi\) | |||||||
\(830\) | 22.4925 | + | 22.4925i | 0.780725 | + | 0.780725i | ||||
\(831\) | 9.02390 | + | 15.6299i | 0.313036 | + | 0.542194i | ||||
\(832\) | −2.51419 | − | 103.652i | −0.0871637 | − | 3.59350i | ||||
\(833\) | 7.17603 | + | 6.98931i | 0.248635 | + | 0.242165i | ||||
\(834\) | −31.3980 | − | 8.41307i | −1.08722 | − | 0.291321i | ||||
\(835\) | −0.606301 | + | 1.05014i | −0.0209819 | + | 0.0363417i | ||||
\(836\) | 1.58300 | + | 2.74184i | 0.0547493 | + | 0.0948286i | ||||
\(837\) | 0.187215 | + | 0.698697i | 0.00647111 | + | 0.0241505i | ||||
\(838\) | 9.55559 | + | 9.55559i | 0.330092 | + | 0.330092i | ||||
\(839\) | 3.20470 | + | 11.9601i | 0.110638 | + | 0.412908i | 0.998924 | − | 0.0463840i | \(-0.0147698\pi\) |
−0.888285 | + | 0.459292i | \(0.848103\pi\) | |||||||
\(840\) | −53.8354 | − | 69.2104i | −1.85750 | − | 2.38799i | ||||
\(841\) | −14.6997 | + | 25.4606i | −0.506885 | + | 0.877951i | ||||
\(842\) | 2.70959 | + | 1.56438i | 0.0933787 | + | 0.0539122i | ||||
\(843\) | 15.4188 | − | 15.4188i | 0.531051 | − | 0.531051i | ||||
\(844\) | 47.4535 | + | 27.3973i | 1.63342 | + | 0.943055i | ||||
\(845\) | −9.72799 | + | 44.9140i | −0.334653 | + | 1.54509i | ||||
\(846\) | − | 2.55882i | − | 0.0879741i | ||||||
\(847\) | −3.91797 | − | 28.3166i | −0.134623 | − | 0.972971i | ||||
\(848\) | −36.4932 | − | 63.2080i | −1.25318 | − | 2.17057i | ||||
\(849\) | 27.4720i | 0.942837i | ||||||||
\(850\) | 28.2597 | − | 7.57215i | 0.969298 | − | 0.259723i | ||||
\(851\) | −7.06082 | − | 1.89194i | −0.242042 | − | 0.0648549i | ||||
\(852\) | −7.24564 | + | 7.24564i | −0.248232 | + | 0.248232i | ||||
\(853\) | −30.9345 | + | 30.9345i | −1.05918 | + | 1.05918i | −0.0610421 | + | 0.998135i | \(0.519442\pi\) |
−0.998135 | + | 0.0610421i | \(0.980558\pi\) | |||||||
\(854\) | −86.5401 | + | 36.5161i | −2.96134 | + | 1.24956i | ||||
\(855\) | −4.03282 | + | 2.32835i | −0.137919 | + | 0.0796279i | ||||
\(856\) | 17.1129 | − | 4.58538i | 0.584906 | − | 0.156725i | ||||
\(857\) | −4.46536 | + | 7.73423i | −0.152534 | + | 0.264196i | −0.932158 | − | 0.362051i | \(-0.882077\pi\) |
0.779624 | + | 0.626247i | \(0.215410\pi\) | |||||||
\(858\) | −3.81548 | − | 2.08118i | −0.130258 | − | 0.0710502i | ||||
\(859\) | 21.5650 | − | 12.4506i | 0.735789 | − | 0.424808i | −0.0847471 | − | 0.996402i | \(-0.527008\pi\) |
0.820536 | + | 0.571594i | \(0.193675\pi\) | |||||||
\(860\) | 41.3768 | − | 154.420i | 1.41094 | − | 5.26569i | ||||
\(861\) | −7.59418 | − | 0.948921i | −0.258809 | − | 0.0323391i | ||||
\(862\) | −48.4163 | − | 27.9532i | −1.64907 | − | 0.952089i | ||||
\(863\) | −17.0923 | − | 4.57987i | −0.581829 | − | 0.155900i | −0.0441126 | − | 0.999027i | \(-0.514046\pi\) |
−0.537716 | + | 0.843126i | \(0.680713\pi\) | |||||||
\(864\) | −5.51778 | + | 20.5926i | −0.187719 | + | 0.700575i | ||||
\(865\) | −8.46380 | + | 31.5873i | −0.287778 | + | 1.07400i | ||||
\(866\) | 1.29670 | + | 0.347450i | 0.0440638 | + | 0.0118068i | ||||
\(867\) | −12.9489 | − | 7.47606i | −0.439768 | − | 0.253900i | ||||
\(868\) | −6.28050 | + | 8.29756i | −0.213174 | + | 0.281638i | ||||
\(869\) | 0.405088 | − | 1.51181i | 0.0137417 | − | 0.0512847i | ||||
\(870\) | −63.8035 | + | 36.8370i | −2.16314 | + | 1.24889i | ||||
\(871\) | −15.8046 | + | 16.5904i | −0.535519 | + | 0.562144i | ||||
\(872\) | −34.5740 | + | 59.8840i | −1.17082 | + | 2.02793i | ||||
\(873\) | −2.51514 | + | 0.673929i | −0.0851245 | + | 0.0228090i | ||||
\(874\) | 22.3632 | − | 12.9114i | 0.756447 | − | 0.436735i | ||||
\(875\) | 14.0914 | − | 18.6170i | 0.476375 | − | 0.629369i | ||||
\(876\) | 48.9177 | − | 48.9177i | 1.65277 | − | 1.65277i | ||||
\(877\) | 1.82577 | − | 1.82577i | 0.0616519 | − | 0.0616519i | −0.675609 | − | 0.737260i | \(-0.736119\pi\) |
0.737260 | + | 0.675609i | \(0.236119\pi\) | |||||||
\(878\) | 58.9504 | + | 15.7957i | 1.98948 | + | 0.533079i | ||||
\(879\) | −7.58244 | + | 2.03171i | −0.255749 | + | 0.0685278i | ||||
\(880\) | 22.9565i | 0.773862i | ||||||||
\(881\) | 5.24887 | + | 9.09131i | 0.176839 | + | 0.306294i | 0.940796 | − | 0.338973i | \(-0.110079\pi\) |
−0.763957 | + | 0.645267i | \(0.776746\pi\) | |||||||
\(882\) | −9.76227 | − | 16.4055i | −0.328713 | − | 0.552403i | ||||
\(883\) | 0.987737i | 0.0332400i | 0.999862 | + | 0.0166200i | \(0.00529056\pi\) | ||||
−0.999862 | + | 0.0166200i | \(0.994709\pi\) | |||||||
\(884\) | 24.6306 | + | 13.4349i | 0.828416 | + | 0.451864i | ||||
\(885\) | −9.95770 | − | 5.74908i | −0.334724 | − | 0.193253i | ||||
\(886\) | −18.4133 | + | 18.4133i | −0.618608 | + | 0.618608i | ||||
\(887\) | −34.5253 | − | 19.9332i | −1.15925 | − | 0.669291i | −0.208122 | − | 0.978103i | \(-0.566735\pi\) |
−0.951123 | + | 0.308812i | \(0.900069\pi\) | |||||||
\(888\) | 4.76709 | − | 8.25685i | 0.159973 | − | 0.277082i | ||||
\(889\) | 14.2330 | − | 11.0711i | 0.477358 | − | 0.371314i | ||||
\(890\) | 26.1053 | + | 97.4264i | 0.875052 | + | 3.26574i | ||||
\(891\) | 0.312538 | + | 0.312538i | 0.0104704 | + | 0.0104704i | ||||
\(892\) | −1.33866 | − | 4.99594i | −0.0448216 | − | 0.167276i | ||||
\(893\) | −0.617986 | − | 1.07038i | −0.0206801 | − | 0.0358190i | ||||
\(894\) | 29.6886 | − | 51.4222i | 0.992936 | − | 1.71982i | ||||
\(895\) | −49.8712 | − | 13.3629i | −1.66701 | − | 0.446674i | ||||
\(896\) | −87.2341 | + | 36.8090i | −2.91429 | + | 1.22970i | ||||
\(897\) | −12.4101 | + | 22.7518i | −0.414362 | + | 0.759661i | ||||
\(898\) | −24.2635 | − | 42.0256i | −0.809684 | − | 1.40241i | ||||
\(899\) | 3.90872 | + | 3.90872i | 0.130363 | + | 0.130363i | ||||
\(900\) | −40.7627 | −1.35876 | ||||||||
\(901\) | 7.10885 | 0.236830 | ||||||||
\(902\) | 2.46556 | + | 2.46556i | 0.0820943 | + | 0.0820943i | ||||
\(903\) | 8.28654 | − | 20.3844i | 0.275759 | − | 0.678351i | ||||
\(904\) | 56.0329 | − | 15.0140i | 1.86362 | − | 0.499357i | ||||
\(905\) | −7.90325 | + | 29.4953i | −0.262713 | + | 0.980458i | ||||
\(906\) | 32.9736 | − | 19.0373i | 1.09548 | − | 0.632473i | ||||
\(907\) | − | 9.12416i | − | 0.302963i | −0.988460 | − | 0.151481i | \(-0.951596\pi\) | ||
0.988460 | − | 0.151481i | \(-0.0484044\pi\) | |||||||
\(908\) | −34.5180 | − | 128.823i | −1.14552 | − | 4.27514i | ||||
\(909\) | −1.44573 | −0.0479520 | ||||||||
\(910\) | 90.7664 | − | 14.8100i | 3.00888 | − | 0.490948i | ||||
\(911\) | 28.0053 | 0.927856 | 0.463928 | − | 0.885873i | \(-0.346440\pi\) | ||||
0.463928 | + | 0.885873i | \(0.346440\pi\) | |||||||
\(912\) | 5.00927 | + | 18.6949i | 0.165874 | + | 0.619049i | ||||
\(913\) | − | 1.45835i | − | 0.0482642i | ||||||
\(914\) | 65.0644 | − | 37.5650i | 2.15214 | − | 1.24254i | ||||
\(915\) | −11.9103 | + | 44.4498i | −0.393742 | + | 1.46946i | ||||
\(916\) | 108.363 | − | 29.0357i | 3.58040 | − | 0.959366i | ||||
\(917\) | −7.66754 | + | 5.96420i | −0.253204 | + | 0.196955i | ||||
\(918\) | −2.75965 | − | 2.75965i | −0.0910819 | − | 0.0910819i | ||||
\(919\) | 12.5006 | 0.412356 | 0.206178 | − | 0.978515i | \(-0.433897\pi\) | ||||
0.206178 | + | 0.978515i | \(0.433897\pi\) | |||||||
\(920\) | 238.215 | 7.85371 | ||||||||
\(921\) | −16.1223 | − | 16.1223i | −0.531247 | − | 0.531247i | ||||
\(922\) | 14.2466 | + | 24.6758i | 0.469186 | + | 0.812654i | ||||
\(923\) | −1.91716 | − | 6.51838i | −0.0631042 | − | 0.214555i | ||||
\(924\) | −0.788426 | + | 6.30974i | −0.0259373 | + | 0.207575i | ||||
\(925\) | 7.36390 | + | 1.97315i | 0.242124 | + | 0.0648768i | ||||
\(926\) | 20.6904 | − | 35.8369i | 0.679929 | − | 1.17767i | ||||
\(927\) | 6.70272 | + | 11.6095i | 0.220146 | + | 0.381305i | ||||
\(928\) | 42.1666 | + | 157.368i | 1.38418 | + | 5.16585i | ||||
\(929\) | 17.9287 | + | 17.9287i | 0.588221 | + | 0.588221i | 0.937149 | − | 0.348928i | \(-0.113454\pi\) |
−0.348928 | + | 0.937149i | \(0.613454\pi\) | |||||||
\(930\) | 1.80489 | + | 6.73595i | 0.0591847 | + | 0.220880i | ||||
\(931\) | −8.04579 | − | 4.50490i | −0.263690 | − | 0.147642i | ||||
\(932\) | 61.8169 | − | 107.070i | 2.02488 | − | 3.50719i | ||||
\(933\) | −4.77319 | − | 2.75580i | −0.156267 | − | 0.0902208i | ||||
\(934\) | −27.3445 | + | 27.3445i | −0.894739 | + | 0.894739i | ||||
\(935\) | −1.93639 | − | 1.11798i | −0.0633269 | − | 0.0365618i | ||||
\(936\) | −24.4744 | − | 23.3152i | −0.799970 | − | 0.762081i | ||||
\(937\) | 27.8676i | 0.910396i | 0.890390 | + | 0.455198i | \(0.150431\pi\) | ||||
−0.890390 | + | 0.455198i | \(0.849569\pi\) | |||||||
\(938\) | 42.4791 | + | 17.2683i | 1.38699 | + | 0.563830i | ||||
\(939\) | −9.70534 | − | 16.8101i | −0.316722 | − | 0.548578i | ||||
\(940\) | − | 18.0354i | − | 0.588249i | ||||||
\(941\) | −13.9004 | + | 3.72461i | −0.453141 | + | 0.121419i | −0.478169 | − | 0.878268i | \(-0.658699\pi\) |
0.0250276 | + | 0.999687i | \(0.492033\pi\) | |||||||
\(942\) | 39.4487 | + | 10.5702i | 1.28531 | + | 0.344397i | ||||
\(943\) | 14.7022 | − | 14.7022i | 0.478770 | − | 0.478770i | ||||
\(944\) | −33.7920 | + | 33.7920i | −1.09984 | + | 1.09984i | ||||
\(945\) | −9.28064 | − | 1.15965i | −0.301899 | − | 0.0377234i | ||||
\(946\) | −8.68211 | + | 5.01262i | −0.282280 | + | 0.162974i | ||||
\(947\) | 12.4758 | − | 3.34288i | 0.405409 | − | 0.108629i | −0.0503512 | − | 0.998732i | \(-0.516034\pi\) |
0.455760 | + | 0.890103i | \(0.349367\pi\) | |||||||
\(948\) | 9.62750 | − | 16.6753i | 0.312687 | − | 0.541589i | ||||
\(949\) | 12.9434 | + | 44.0076i | 0.420160 | + | 1.42855i | ||||
\(950\) | −23.3231 | + | 13.4656i | −0.756703 | + | 0.436882i | ||||
\(951\) | −7.26716 | + | 27.1214i | −0.235654 | + | 0.879472i | ||||
\(952\) | 4.40108 | − | 35.2217i | 0.142640 | − | 1.14154i | ||||
\(953\) | −52.8130 | − | 30.4916i | −1.71078 | − | 0.987720i | −0.933507 | − | 0.358559i | \(-0.883268\pi\) |
−0.777275 | − | 0.629161i | \(-0.783399\pi\) | |||||||
\(954\) | −13.0860 | − | 3.50640i | −0.423676 | − | 0.113524i | ||||
\(955\) | 6.44865 | − | 24.0667i | 0.208674 | − | 0.778780i | ||||
\(956\) | −41.3267 | + | 154.234i | −1.33660 | + | 4.98827i | ||||
\(957\) | 3.26262 | + | 0.874216i | 0.105465 | + | 0.0282594i | ||||
\(958\) | 59.2734 | + | 34.2215i | 1.91504 | + | 1.10565i | ||||
\(959\) | −2.58596 | + | 20.6953i | −0.0835050 | + | 0.668288i | ||||
\(960\) | −26.3102 | + | 98.1911i | −0.849159 | + | 3.16910i | ||||
\(961\) | −26.3937 | + | 15.2384i | −0.851408 | + | 0.491561i | ||||
\(962\) | 5.20851 | + | 8.53643i | 0.167929 | + | 0.275225i | ||||
\(963\) | 0.944877 | − | 1.63658i | 0.0304482 | − | 0.0527379i | ||||
\(964\) | 35.6199 | − | 9.54433i | 1.14724 | − | 0.307402i | ||||
\(965\) | −70.7530 | + | 40.8492i | −2.27762 | + | 1.31498i | ||||
\(966\) | 51.4640 | + | 6.43062i | 1.65583 | + | 0.206902i | ||||
\(967\) | 33.5388 | − | 33.5388i | 1.07853 | − | 1.07853i | 0.0818928 | − | 0.996641i | \(-0.473903\pi\) |
0.996641 | − | 0.0818928i | \(-0.0260965\pi\) | |||||||
\(968\) | −71.6258 | + | 71.6258i | −2.30214 | + | 2.30214i | ||||
\(969\) | −1.82088 | − | 0.487902i | −0.0584950 | − | 0.0156737i | ||||
\(970\) | −24.2478 | + | 6.49717i | −0.778548 | + | 0.208611i | ||||
\(971\) | − | 13.6543i | − | 0.438187i | −0.975704 | − | 0.219094i | \(-0.929690\pi\) | ||
0.975704 | − | 0.219094i | \(-0.0703100\pi\) | |||||||
\(972\) | 2.71881 | + | 4.70911i | 0.0872058 | + | 0.151045i | ||||
\(973\) | −29.2133 | − | 11.8756i | −0.936535 | − | 0.380714i | ||||
\(974\) | 66.1857i | 2.12073i | ||||||||
\(975\) | 12.9428 | − | 23.7284i | 0.414501 | − | 0.759918i | ||||
\(976\) | 165.637 | + | 95.6305i | 5.30191 | + | 3.06106i | ||||
\(977\) | −21.5324 | + | 21.5324i | −0.688883 | + | 0.688883i | −0.961985 | − | 0.273102i | \(-0.911950\pi\) |
0.273102 | + | 0.961985i | \(0.411950\pi\) | |||||||
\(978\) | −20.8918 | − | 12.0619i | −0.668045 | − | 0.385696i | ||||
\(979\) | 2.31213 | − | 4.00472i | 0.0738959 | − | 0.127991i | ||||
\(980\) | −68.8075 | − | 115.631i | −2.19797 | − | 3.69370i | ||||
\(981\) | 1.90898 | + | 7.12442i | 0.0609491 | + | 0.227465i | ||||
\(982\) | −21.5554 | − | 21.5554i | −0.687859 | − | 0.687859i | ||||
\(983\) | −0.901257 | − | 3.36354i | −0.0287456 | − | 0.107280i | 0.950062 | − | 0.312060i | \(-0.101019\pi\) |
−0.978808 | + | 0.204780i | \(0.934352\pi\) | |||||||
\(984\) | 13.5594 | + | 23.4856i | 0.432258 | + | 0.748692i | ||||
\(985\) | 34.3475 | − | 59.4916i | 1.09440 | − | 1.89556i | ||||
\(986\) | −28.8082 | − | 7.71914i | −0.917440 | − | 0.245827i | ||||
\(987\) | 0.307792 | − | 2.46325i | 0.00979713 | − | 0.0784060i | ||||
\(988\) | −25.1012 | − | 6.07750i | −0.798576 | − | 0.193351i | ||||
\(989\) | 29.8904 | + | 51.7716i | 0.950458 | + | 1.64624i | ||||
\(990\) | 3.01310 | + | 3.01310i | 0.0957625 | + | 0.0957625i | ||||
\(991\) | −27.0123 | −0.858073 | −0.429036 | − | 0.903287i | \(-0.641147\pi\) | ||||
−0.429036 | + | 0.903287i | \(0.641147\pi\) | |||||||
\(992\) | 15.4210 | 0.489618 | ||||||||
\(993\) | −5.36907 | − | 5.36907i | −0.170382 | − | 0.170382i | ||||
\(994\) | −10.7326 | + | 8.34836i | −0.340417 | + | 0.264794i | ||||
\(995\) | −60.8162 | + | 16.2956i | −1.92800 | + | 0.516607i | ||||
\(996\) | 4.64352 | − | 17.3298i | 0.147135 | − | 0.549117i | ||||
\(997\) | −18.1168 | + | 10.4597i | −0.573764 | + | 0.331263i | −0.758651 | − | 0.651497i | \(-0.774141\pi\) |
0.184887 | + | 0.982760i | \(0.440808\pi\) | |||||||
\(998\) | 107.612i | 3.40641i | ||||||||
\(999\) | −0.263212 | − | 0.982321i | −0.00832766 | − | 0.0310793i |
(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 | 273.2.cg.a.262.9 | yes | 36 | |
3.2 | odd | 2 | 819.2.gh.c.262.1 | 36 | |||
7.5 | odd | 6 | 273.2.bt.a.145.9 | ✓ | 36 | ||
13.7 | odd | 12 | 273.2.bt.a.241.9 | yes | 36 | ||
21.5 | even | 6 | 819.2.et.c.145.1 | 36 | |||
39.20 | even | 12 | 819.2.et.c.514.1 | 36 | |||
91.33 | even | 12 | inner | 273.2.cg.a.124.9 | yes | 36 | |
273.215 | odd | 12 | 819.2.gh.c.397.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.145.9 | ✓ | 36 | 7.5 | odd | 6 | ||
273.2.bt.a.241.9 | yes | 36 | 13.7 | odd | 12 | ||
273.2.cg.a.124.9 | yes | 36 | 91.33 | even | 12 | inner | |
273.2.cg.a.262.9 | yes | 36 | 1.1 | even | 1 | trivial | |
819.2.et.c.145.1 | 36 | 21.5 | even | 6 | |||
819.2.et.c.514.1 | 36 | 39.20 | even | 12 | |||
819.2.gh.c.262.1 | 36 | 3.2 | odd | 2 | |||
819.2.gh.c.397.1 | 36 | 273.215 | odd | 12 |