Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(307,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.307");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.e (of order \(3\), degree \(2\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(58\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 307.8 | ||
Character | \(\chi\) | \(=\) | 731.307 |
Dual form | 731.2.e.a.681.8 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.79000 | −1.26572 | −0.632862 | − | 0.774265i | \(-0.718120\pi\) | ||||
−0.632862 | + | 0.774265i | \(0.718120\pi\) | |||||||
\(3\) | 0.128663 | − | 0.222852i | 0.0742839 | − | 0.128663i | −0.826491 | − | 0.562950i | \(-0.809666\pi\) |
0.900775 | + | 0.434287i | \(0.143000\pi\) | |||||||
\(4\) | 1.20411 | 0.602057 | ||||||||
\(5\) | −1.10204 | + | 1.90879i | −0.492847 | + | 0.853635i | −0.999966 | − | 0.00824034i | \(-0.997377\pi\) |
0.507119 | + | 0.861876i | \(0.330710\pi\) | |||||||
\(6\) | −0.230308 | + | 0.398905i | −0.0940229 | + | 0.162852i | ||||
\(7\) | 1.71488 | + | 2.97026i | 0.648163 | + | 1.12265i | 0.983561 | + | 0.180575i | \(0.0577958\pi\) |
−0.335398 | + | 0.942076i | \(0.608871\pi\) | |||||||
\(8\) | 1.42464 | 0.503686 | ||||||||
\(9\) | 1.46689 | + | 2.54073i | 0.488964 | + | 0.846910i | ||||
\(10\) | 1.97265 | − | 3.41674i | 0.623808 | − | 1.08047i | ||||
\(11\) | −5.96131 | −1.79740 | −0.898701 | − | 0.438561i | \(-0.855488\pi\) | ||||
−0.898701 | + | 0.438561i | \(0.855488\pi\) | |||||||
\(12\) | 0.154926 | − | 0.268339i | 0.0447231 | − | 0.0774628i | ||||
\(13\) | 1.79991 | + | 3.11754i | 0.499207 | + | 0.864651i | 1.00000 | 0.000915945i | \(-0.000291554\pi\) | |
−0.500793 | + | 0.865567i | \(0.666958\pi\) | |||||||
\(14\) | −3.06964 | − | 5.31677i | −0.820396 | − | 1.42097i | ||||
\(15\) | 0.283584 | + | 0.491182i | 0.0732211 | + | 0.126823i | ||||
\(16\) | −4.95834 | −1.23958 | ||||||||
\(17\) | 0.500000 | + | 0.866025i | 0.121268 | + | 0.210042i | ||||
\(18\) | −2.62574 | − | 4.54792i | −0.618893 | − | 1.07195i | ||||
\(19\) | −0.138506 | + | 0.239899i | −0.0317754 | + | 0.0550366i | −0.881476 | − | 0.472229i | \(-0.843449\pi\) |
0.849700 | + | 0.527266i | \(0.176783\pi\) | |||||||
\(20\) | −1.32698 | + | 2.29840i | −0.296722 | + | 0.513937i | ||||
\(21\) | 0.882569 | 0.192592 | ||||||||
\(22\) | 10.6708 | 2.27502 | ||||||||
\(23\) | 2.74128 | − | 4.74803i | 0.571596 | − | 0.990034i | −0.424806 | − | 0.905284i | \(-0.639658\pi\) |
0.996402 | − | 0.0847493i | \(-0.0270089\pi\) | |||||||
\(24\) | 0.183299 | − | 0.317483i | 0.0374157 | − | 0.0648060i | ||||
\(25\) | 0.0710215 | + | 0.123013i | 0.0142043 | + | 0.0246026i | ||||
\(26\) | −3.22185 | − | 5.58042i | −0.631858 | − | 1.09441i | ||||
\(27\) | 1.52692 | 0.293856 | ||||||||
\(28\) | 2.06491 | + | 3.57653i | 0.390231 | + | 0.675900i | ||||
\(29\) | −2.44223 | − | 4.23007i | −0.453511 | − | 0.785505i | 0.545090 | − | 0.838378i | \(-0.316495\pi\) |
−0.998601 | + | 0.0528730i | \(0.983162\pi\) | |||||||
\(30\) | −0.507617 | − | 0.879218i | −0.0926777 | − | 0.160523i | ||||
\(31\) | 1.48371 | − | 2.56986i | 0.266483 | − | 0.461561i | −0.701468 | − | 0.712701i | \(-0.747472\pi\) |
0.967951 | + | 0.251139i | \(0.0808052\pi\) | |||||||
\(32\) | 6.02617 | 1.06529 | ||||||||
\(33\) | −0.767003 | + | 1.32849i | −0.133518 | + | 0.231260i | ||||
\(34\) | −0.895002 | − | 1.55019i | −0.153492 | − | 0.265855i | ||||
\(35\) | −7.55945 | −1.27778 | ||||||||
\(36\) | 1.76631 | + | 3.05933i | 0.294384 | + | 0.509888i | ||||
\(37\) | −3.22207 | + | 5.58079i | −0.529705 | + | 0.917476i | 0.469694 | + | 0.882829i | \(0.344364\pi\) |
−0.999400 | + | 0.0346472i | \(0.988969\pi\) | |||||||
\(38\) | 0.247926 | − | 0.429420i | 0.0402189 | − | 0.0696612i | ||||
\(39\) | 0.926333 | 0.148332 | ||||||||
\(40\) | −1.57001 | + | 2.71933i | −0.248240 | + | 0.429964i | ||||
\(41\) | −9.04143 | −1.41203 | −0.706017 | − | 0.708195i | \(-0.749510\pi\) | ||||
−0.706017 | + | 0.708195i | \(0.749510\pi\) | |||||||
\(42\) | −1.57980 | −0.243769 | ||||||||
\(43\) | −5.22616 | − | 3.96071i | −0.796982 | − | 0.604003i | ||||
\(44\) | −7.17810 | −1.08214 | ||||||||
\(45\) | −6.46628 | −0.963937 | ||||||||
\(46\) | −4.90690 | + | 8.49900i | −0.723483 | + | 1.25311i | ||||
\(47\) | 9.75435 | 1.42282 | 0.711409 | − | 0.702778i | \(-0.248057\pi\) | ||||
0.711409 | + | 0.702778i | \(0.248057\pi\) | |||||||
\(48\) | −0.637957 | + | 1.10497i | −0.0920811 | + | 0.159489i | ||||
\(49\) | −2.38162 | + | 4.12508i | −0.340231 | + | 0.589297i | ||||
\(50\) | −0.127129 | − | 0.220193i | −0.0179787 | − | 0.0311401i | ||||
\(51\) | 0.257327 | 0.0360330 | ||||||||
\(52\) | 2.16730 | + | 3.75388i | 0.300551 | + | 0.520569i | ||||
\(53\) | −1.89056 | + | 3.27454i | −0.259688 | + | 0.449792i | −0.966158 | − | 0.257950i | \(-0.916953\pi\) |
0.706470 | + | 0.707743i | \(0.250286\pi\) | |||||||
\(54\) | −2.73320 | −0.371941 | ||||||||
\(55\) | 6.56959 | − | 11.3789i | 0.885844 | − | 1.53433i | ||||
\(56\) | 2.44308 | + | 4.23154i | 0.326471 | + | 0.565464i | ||||
\(57\) | 0.0356413 | + | 0.0617325i | 0.00472080 | + | 0.00817667i | ||||
\(58\) | 4.37161 | + | 7.57185i | 0.574020 | + | 0.994232i | ||||
\(59\) | −3.55194 | −0.462423 | −0.231211 | − | 0.972904i | \(-0.574269\pi\) | ||||
−0.231211 | + | 0.972904i | \(0.574269\pi\) | |||||||
\(60\) | 0.341468 | + | 0.591440i | 0.0440833 | + | 0.0763545i | ||||
\(61\) | 3.11029 | + | 5.38718i | 0.398232 | + | 0.689758i | 0.993508 | − | 0.113763i | \(-0.0362906\pi\) |
−0.595276 | + | 0.803521i | \(0.702957\pi\) | |||||||
\(62\) | −2.65585 | + | 4.60007i | −0.337293 | + | 0.584209i | ||||
\(63\) | −5.03108 | + | 8.71409i | −0.633857 | + | 1.09787i | ||||
\(64\) | −0.870188 | −0.108774 | ||||||||
\(65\) | −7.93430 | −0.984129 | ||||||||
\(66\) | 1.37294 | − | 2.37800i | 0.168997 | − | 0.292711i | ||||
\(67\) | −5.60312 | + | 9.70488i | −0.684530 | + | 1.18564i | 0.289055 | + | 0.957313i | \(0.406659\pi\) |
−0.973584 | + | 0.228328i | \(0.926674\pi\) | |||||||
\(68\) | 0.602057 | + | 1.04279i | 0.0730102 | + | 0.126457i | ||||
\(69\) | −0.705405 | − | 1.22180i | −0.0849208 | − | 0.147087i | ||||
\(70\) | 13.5314 | 1.61732 | ||||||||
\(71\) | −4.74674 | − | 8.22160i | −0.563335 | − | 0.975724i | −0.997202 | − | 0.0747478i | \(-0.976185\pi\) |
0.433868 | − | 0.900977i | \(-0.357149\pi\) | |||||||
\(72\) | 2.08979 | + | 3.61962i | 0.246284 | + | 0.426577i | ||||
\(73\) | −4.76251 | − | 8.24892i | −0.557410 | − | 0.965463i | −0.997712 | − | 0.0676128i | \(-0.978462\pi\) |
0.440301 | − | 0.897850i | \(-0.354872\pi\) | |||||||
\(74\) | 5.76752 | − | 9.98964i | 0.670461 | − | 1.16127i | ||||
\(75\) | 0.0365515 | 0.00422060 | ||||||||
\(76\) | −0.166777 | + | 0.288866i | −0.0191306 | + | 0.0331352i | ||||
\(77\) | −10.2229 | − | 17.7066i | −1.16501 | − | 2.01786i | ||||
\(78\) | −1.65814 | −0.187747 | ||||||||
\(79\) | 6.80018 | + | 11.7783i | 0.765080 | + | 1.32516i | 0.940204 | + | 0.340612i | \(0.110634\pi\) |
−0.175124 | + | 0.984546i | \(0.556033\pi\) | |||||||
\(80\) | 5.46428 | − | 9.46441i | 0.610925 | − | 1.05815i | ||||
\(81\) | −4.20422 | + | 7.28191i | −0.467135 | + | 0.809102i | ||||
\(82\) | 16.1842 | 1.78725 | ||||||||
\(83\) | −1.77690 | + | 3.07768i | −0.195040 | + | 0.337819i | −0.946914 | − | 0.321488i | \(-0.895817\pi\) |
0.751874 | + | 0.659307i | \(0.229150\pi\) | |||||||
\(84\) | 1.06271 | 0.115952 | ||||||||
\(85\) | −2.20408 | −0.239066 | ||||||||
\(86\) | 9.35485 | + | 7.08969i | 1.00876 | + | 0.764501i | ||||
\(87\) | −1.25690 | −0.134754 | ||||||||
\(88\) | −8.49271 | −0.905326 | ||||||||
\(89\) | −0.0943611 | + | 0.163438i | −0.0100023 | + | 0.0173244i | −0.870983 | − | 0.491313i | \(-0.836517\pi\) |
0.860981 | + | 0.508637i | \(0.169851\pi\) | |||||||
\(90\) | 11.5747 | 1.22008 | ||||||||
\(91\) | −6.17327 | + | 10.6924i | −0.647135 | + | 1.12087i | ||||
\(92\) | 3.30081 | − | 5.71718i | 0.344134 | − | 0.596057i | ||||
\(93\) | −0.381799 | − | 0.661295i | −0.0395907 | − | 0.0685731i | ||||
\(94\) | −17.4603 | −1.80089 | ||||||||
\(95\) | −0.305277 | − | 0.528756i | −0.0313208 | − | 0.0542492i | ||||
\(96\) | 0.775348 | − | 1.34294i | 0.0791336 | − | 0.137063i | ||||
\(97\) | −16.6653 | −1.69211 | −0.846053 | − | 0.533099i | \(-0.821027\pi\) | ||||
−0.846053 | + | 0.533099i | \(0.821027\pi\) | |||||||
\(98\) | 4.26310 | − | 7.38391i | 0.430638 | − | 0.745888i | ||||
\(99\) | −8.74460 | − | 15.1461i | −0.878865 | − | 1.52224i | ||||
\(100\) | 0.0855180 | + | 0.148121i | 0.00855180 | + | 0.0148121i | ||||
\(101\) | 6.70119 | + | 11.6068i | 0.666793 | + | 1.15492i | 0.978796 | + | 0.204839i | \(0.0656670\pi\) |
−0.312002 | + | 0.950081i | \(0.601000\pi\) | |||||||
\(102\) | −0.460616 | −0.0456078 | ||||||||
\(103\) | −6.39494 | − | 11.0764i | −0.630112 | − | 1.09139i | −0.987528 | − | 0.157441i | \(-0.949676\pi\) |
0.357416 | − | 0.933945i | \(-0.383658\pi\) | |||||||
\(104\) | 2.56423 | + | 4.44137i | 0.251443 | + | 0.435512i | ||||
\(105\) | −0.972625 | + | 1.68464i | −0.0949185 | + | 0.164404i | ||||
\(106\) | 3.38410 | − | 5.86144i | 0.328693 | − | 0.569313i | ||||
\(107\) | −5.29217 | −0.511614 | −0.255807 | − | 0.966728i | \(-0.582341\pi\) | ||||
−0.255807 | + | 0.966728i | \(0.582341\pi\) | |||||||
\(108\) | 1.83859 | 0.176918 | ||||||||
\(109\) | 2.46133 | − | 4.26315i | 0.235753 | − | 0.408335i | −0.723739 | − | 0.690074i | \(-0.757578\pi\) |
0.959491 | + | 0.281739i | \(0.0909112\pi\) | |||||||
\(110\) | −11.7596 | + | 20.3682i | −1.12123 | + | 1.94203i | ||||
\(111\) | 0.829126 | + | 1.43609i | 0.0786971 | + | 0.136307i | ||||
\(112\) | −8.50295 | − | 14.7275i | −0.803453 | − | 1.39162i | ||||
\(113\) | 15.8972 | 1.49548 | 0.747741 | − | 0.663990i | \(-0.231138\pi\) | ||||
0.747741 | + | 0.663990i | \(0.231138\pi\) | |||||||
\(114\) | −0.0637980 | − | 0.110501i | −0.00597523 | − | 0.0103494i | ||||
\(115\) | 6.04199 | + | 10.4650i | 0.563419 | + | 0.975870i | ||||
\(116\) | −2.94073 | − | 5.09349i | −0.273040 | − | 0.472919i | ||||
\(117\) | −5.28056 | + | 9.14620i | −0.488188 | + | 0.845566i | ||||
\(118\) | 6.35798 | 0.585300 | ||||||||
\(119\) | −1.71488 | + | 2.97026i | −0.157203 | + | 0.272283i | ||||
\(120\) | 0.404005 | + | 0.699757i | 0.0368804 | + | 0.0638788i | ||||
\(121\) | 24.5372 | 2.23066 | ||||||||
\(122\) | −5.56743 | − | 9.64308i | −0.504052 | − | 0.873043i | ||||
\(123\) | −1.16330 | + | 2.01490i | −0.104891 | + | 0.181677i | ||||
\(124\) | 1.78656 | − | 3.09441i | 0.160438 | − | 0.277886i | ||||
\(125\) | −11.3335 | −1.01370 | ||||||||
\(126\) | 9.00566 | − | 15.5983i | 0.802288 | − | 1.38960i | ||||
\(127\) | 11.3260 | 1.00502 | 0.502511 | − | 0.864571i | \(-0.332410\pi\) | ||||
0.502511 | + | 0.864571i | \(0.332410\pi\) | |||||||
\(128\) | −10.4947 | −0.927609 | ||||||||
\(129\) | −1.55507 | + | 0.655059i | −0.136916 | + | 0.0576748i | ||||
\(130\) | 14.2024 | 1.24564 | ||||||||
\(131\) | −7.14682 | −0.624421 | −0.312210 | − | 0.950013i | \(-0.601069\pi\) | ||||
−0.312210 | + | 0.950013i | \(0.601069\pi\) | |||||||
\(132\) | −0.923559 | + | 1.59965i | −0.0803855 | + | 0.139232i | ||||
\(133\) | −0.950082 | −0.0823826 | ||||||||
\(134\) | 10.0296 | − | 17.3718i | 0.866426 | − | 1.50069i | ||||
\(135\) | −1.68273 | + | 2.91457i | −0.144826 | + | 0.250846i | ||||
\(136\) | 0.712319 | + | 1.23377i | 0.0610809 | + | 0.105795i | ||||
\(137\) | −2.21993 | −0.189662 | −0.0948308 | − | 0.995493i | \(-0.530231\pi\) | ||||
−0.0948308 | + | 0.995493i | \(0.530231\pi\) | |||||||
\(138\) | 1.26268 | + | 2.18702i | 0.107486 | + | 0.186172i | ||||
\(139\) | 9.16672 | − | 15.8772i | 0.777511 | − | 1.34669i | −0.155861 | − | 0.987779i | \(-0.549815\pi\) |
0.933372 | − | 0.358910i | \(-0.116851\pi\) | |||||||
\(140\) | −9.10244 | −0.769297 | ||||||||
\(141\) | 1.25503 | − | 2.17377i | 0.105692 | − | 0.183065i | ||||
\(142\) | 8.49669 | + | 14.7167i | 0.713026 | + | 1.23500i | ||||
\(143\) | −10.7299 | − | 18.5846i | −0.897275 | − | 1.55413i | ||||
\(144\) | −7.27334 | − | 12.5978i | −0.606112 | − | 1.04982i | ||||
\(145\) | 10.7657 | 0.894046 | ||||||||
\(146\) | 8.52492 | + | 14.7656i | 0.705527 | + | 1.22201i | ||||
\(147\) | 0.612854 | + | 1.06149i | 0.0505473 | + | 0.0875506i | ||||
\(148\) | −3.87974 | + | 6.71991i | −0.318913 | + | 0.552373i | ||||
\(149\) | −5.36497 | + | 9.29240i | −0.439516 | + | 0.761263i | −0.997652 | − | 0.0684858i | \(-0.978183\pi\) |
0.558136 | + | 0.829749i | \(0.311517\pi\) | |||||||
\(150\) | −0.0654273 | −0.00534212 | ||||||||
\(151\) | −5.64830 | −0.459652 | −0.229826 | − | 0.973232i | \(-0.573816\pi\) | ||||
−0.229826 | + | 0.973232i | \(0.573816\pi\) | |||||||
\(152\) | −0.197321 | + | 0.341769i | −0.0160048 | + | 0.0277212i | ||||
\(153\) | −1.46689 | + | 2.54073i | −0.118591 | + | 0.205406i | ||||
\(154\) | 18.2991 | + | 31.6949i | 1.47458 | + | 2.55405i | ||||
\(155\) | 3.27022 | + | 5.66418i | 0.262670 | + | 0.454958i | ||||
\(156\) | 1.11541 | 0.0893044 | ||||||||
\(157\) | 0.462871 | + | 0.801716i | 0.0369411 | + | 0.0639839i | 0.883905 | − | 0.467667i | \(-0.154905\pi\) |
−0.846964 | + | 0.531651i | \(0.821572\pi\) | |||||||
\(158\) | −12.1724 | − | 21.0831i | −0.968381 | − | 1.67728i | ||||
\(159\) | 0.486491 | + | 0.842627i | 0.0385812 | + | 0.0668247i | ||||
\(160\) | −6.64107 | + | 11.5027i | −0.525023 | + | 0.909366i | ||||
\(161\) | 18.8038 | 1.48195 | ||||||||
\(162\) | 7.52556 | − | 13.0347i | 0.591264 | − | 1.02410i | ||||
\(163\) | 6.75447 | + | 11.6991i | 0.529051 | + | 0.916344i | 0.999426 | + | 0.0338769i | \(0.0107854\pi\) |
−0.470375 | + | 0.882467i | \(0.655881\pi\) | |||||||
\(164\) | −10.8869 | −0.850125 | ||||||||
\(165\) | −1.69053 | − | 2.92809i | −0.131608 | − | 0.227952i | ||||
\(166\) | 3.18065 | − | 5.50905i | 0.246867 | − | 0.427585i | ||||
\(167\) | 4.78116 | − | 8.28121i | 0.369977 | − | 0.640819i | −0.619585 | − | 0.784930i | \(-0.712699\pi\) |
0.989562 | + | 0.144111i | \(0.0460322\pi\) | |||||||
\(168\) | 1.25734 | 0.0970060 | ||||||||
\(169\) | 0.0206131 | − | 0.0357029i | 0.00158562 | − | 0.00274638i | ||||
\(170\) | 3.94531 | 0.302591 | ||||||||
\(171\) | −0.812692 | −0.0621481 | ||||||||
\(172\) | −6.29289 | − | 4.76915i | −0.479829 | − | 0.363644i | ||||
\(173\) | 5.54269 | 0.421403 | 0.210701 | − | 0.977550i | \(-0.432425\pi\) | ||||
0.210701 | + | 0.977550i | \(0.432425\pi\) | |||||||
\(174\) | 2.24986 | 0.170562 | ||||||||
\(175\) | −0.243586 | + | 0.421904i | −0.0184134 | + | 0.0318929i | ||||
\(176\) | 29.5582 | 2.22803 | ||||||||
\(177\) | −0.457004 | + | 0.791555i | −0.0343506 | + | 0.0594969i | ||||
\(178\) | 0.168907 | − | 0.292555i | 0.0126601 | − | 0.0219279i | ||||
\(179\) | 3.83923 | + | 6.64974i | 0.286958 | + | 0.497025i | 0.973082 | − | 0.230459i | \(-0.0740228\pi\) |
−0.686124 | + | 0.727484i | \(0.740689\pi\) | |||||||
\(180\) | −7.78615 | −0.580345 | ||||||||
\(181\) | −2.07910 | − | 3.60111i | −0.154539 | − | 0.267669i | 0.778352 | − | 0.627828i | \(-0.216056\pi\) |
−0.932891 | + | 0.360159i | \(0.882722\pi\) | |||||||
\(182\) | 11.0502 | − | 19.1395i | 0.819094 | − | 1.41871i | ||||
\(183\) | 1.60072 | 0.118329 | ||||||||
\(184\) | 3.90533 | − | 6.76423i | 0.287905 | − | 0.498666i | ||||
\(185\) | −7.10169 | − | 12.3005i | −0.522127 | − | 0.904350i | ||||
\(186\) | 0.683422 | + | 1.18372i | 0.0501109 | + | 0.0867947i | ||||
\(187\) | −2.98066 | − | 5.16265i | −0.217967 | − | 0.377530i | ||||
\(188\) | 11.7454 | 0.856618 | ||||||||
\(189\) | 2.61849 | + | 4.53535i | 0.190467 | + | 0.329898i | ||||
\(190\) | 0.546448 | + | 0.946475i | 0.0396435 | + | 0.0686645i | ||||
\(191\) | −5.97365 | + | 10.3467i | −0.432238 | + | 0.748658i | −0.997066 | − | 0.0765505i | \(-0.975609\pi\) |
0.564828 | + | 0.825209i | \(0.308943\pi\) | |||||||
\(192\) | −0.111961 | + | 0.193923i | −0.00808012 | + | 0.0139952i | ||||
\(193\) | 27.6627 | 1.99120 | 0.995601 | − | 0.0936945i | \(-0.0298677\pi\) | ||||
0.995601 | + | 0.0936945i | \(0.0298677\pi\) | |||||||
\(194\) | 29.8310 | 2.14174 | ||||||||
\(195\) | −1.02085 | + | 1.76817i | −0.0731049 | + | 0.126621i | ||||
\(196\) | −2.86774 | + | 4.96707i | −0.204838 | + | 0.354791i | ||||
\(197\) | −5.06571 | − | 8.77406i | −0.360917 | − | 0.625126i | 0.627195 | − | 0.778862i | \(-0.284203\pi\) |
−0.988112 | + | 0.153736i | \(0.950869\pi\) | |||||||
\(198\) | 15.6529 | + | 27.1116i | 1.11240 | + | 1.92673i | ||||
\(199\) | −0.391001 | −0.0277173 | −0.0138586 | − | 0.999904i | \(-0.504411\pi\) | ||||
−0.0138586 | + | 0.999904i | \(0.504411\pi\) | |||||||
\(200\) | 0.101180 | + | 0.175249i | 0.00715450 | + | 0.0123920i | ||||
\(201\) | 1.44183 | + | 2.49733i | 0.101699 | + | 0.176148i | ||||
\(202\) | −11.9952 | − | 20.7762i | −0.843976 | − | 1.46181i | ||||
\(203\) | 8.37627 | − | 14.5081i | 0.587899 | − | 1.01827i | ||||
\(204\) | 0.309851 | 0.0216939 | ||||||||
\(205\) | 9.96400 | − | 17.2582i | 0.695916 | − | 1.20536i | ||||
\(206\) | 11.4470 | + | 19.8267i | 0.797548 | + | 1.38139i | ||||
\(207\) | 16.0846 | 1.11796 | ||||||||
\(208\) | −8.92458 | − | 15.4578i | −0.618809 | − | 1.07181i | ||||
\(209\) | 0.825676 | − | 1.43011i | 0.0571132 | − | 0.0989230i | ||||
\(210\) | 1.74100 | − | 3.01551i | 0.120141 | − | 0.208090i | ||||
\(211\) | 15.3111 | 1.05406 | 0.527030 | − | 0.849847i | \(-0.323305\pi\) | ||||
0.527030 | + | 0.849847i | \(0.323305\pi\) | |||||||
\(212\) | −2.27645 | + | 3.94292i | −0.156347 | + | 0.270801i | ||||
\(213\) | −2.44293 | −0.167387 | ||||||||
\(214\) | 9.47301 | 0.647561 | ||||||||
\(215\) | 13.3196 | − | 5.61077i | 0.908388 | − | 0.382651i | ||||
\(216\) | 2.17531 | 0.148011 | ||||||||
\(217\) | 10.1775 | 0.690897 | ||||||||
\(218\) | −4.40579 | + | 7.63105i | −0.298398 | + | 0.516840i | ||||
\(219\) | −2.45105 | −0.165626 | ||||||||
\(220\) | 7.91054 | − | 13.7015i | 0.533329 | − | 0.923753i | ||||
\(221\) | −1.79991 | + | 3.11754i | −0.121075 | + | 0.209709i | ||||
\(222\) | −1.48414 | − | 2.57060i | −0.0996088 | − | 0.172528i | ||||
\(223\) | 1.01291 | 0.0678298 | 0.0339149 | − | 0.999425i | \(-0.489202\pi\) | ||||
0.0339149 | + | 0.999425i | \(0.489202\pi\) | |||||||
\(224\) | 10.3341 | + | 17.8993i | 0.690479 | + | 1.19594i | ||||
\(225\) | −0.208362 | + | 0.360893i | −0.0138908 | + | 0.0240595i | ||||
\(226\) | −28.4560 | −1.89287 | ||||||||
\(227\) | −3.25044 | + | 5.62992i | −0.215739 | + | 0.373671i | −0.953501 | − | 0.301390i | \(-0.902549\pi\) |
0.737762 | + | 0.675061i | \(0.235883\pi\) | |||||||
\(228\) | 0.0429162 | + | 0.0743330i | 0.00284219 | + | 0.00492282i | ||||
\(229\) | −1.74663 | − | 3.02524i | −0.115420 | − | 0.199914i | 0.802527 | − | 0.596615i | \(-0.203488\pi\) |
−0.917948 | + | 0.396701i | \(0.870155\pi\) | |||||||
\(230\) | −10.8152 | − | 18.7325i | −0.713132 | − | 1.23518i | ||||
\(231\) | −5.26127 | −0.346166 | ||||||||
\(232\) | −3.47930 | − | 6.02632i | −0.228427 | − | 0.395647i | ||||
\(233\) | −13.3216 | − | 23.0738i | −0.872730 | − | 1.51161i | −0.859162 | − | 0.511704i | \(-0.829014\pi\) |
−0.0135678 | − | 0.999908i | \(-0.504319\pi\) | |||||||
\(234\) | 9.45222 | − | 16.3717i | 0.617911 | − | 1.07025i | ||||
\(235\) | −10.7497 | + | 18.6190i | −0.701231 | + | 1.21457i | ||||
\(236\) | −4.27694 | −0.278405 | ||||||||
\(237\) | 3.49974 | 0.227333 | ||||||||
\(238\) | 3.06964 | − | 5.31677i | 0.198975 | − | 0.344635i | ||||
\(239\) | −1.46616 | + | 2.53946i | −0.0948380 | + | 0.164264i | −0.909541 | − | 0.415614i | \(-0.863567\pi\) |
0.814703 | + | 0.579878i | \(0.196900\pi\) | |||||||
\(240\) | −1.40611 | − | 2.43545i | −0.0907638 | − | 0.157207i | ||||
\(241\) | 6.47443 | + | 11.2140i | 0.417054 | + | 0.722360i | 0.995642 | − | 0.0932610i | \(-0.0297291\pi\) |
−0.578587 | + | 0.815621i | \(0.696396\pi\) | |||||||
\(242\) | −43.9217 | −2.82340 | ||||||||
\(243\) | 3.37224 | + | 5.84089i | 0.216329 | + | 0.374693i | ||||
\(244\) | 3.74515 | + | 6.48678i | 0.239758 | + | 0.415274i | ||||
\(245\) | −5.24927 | − | 9.09200i | −0.335363 | − | 0.580866i | ||||
\(246\) | 2.08231 | − | 3.60667i | 0.132764 | − | 0.229953i | ||||
\(247\) | −0.997194 | −0.0634500 | ||||||||
\(248\) | 2.11375 | − | 3.66113i | 0.134223 | − | 0.232482i | ||||
\(249\) | 0.457243 | + | 0.791969i | 0.0289766 | + | 0.0501890i | ||||
\(250\) | 20.2869 | 1.28306 | ||||||||
\(251\) | 12.0870 | + | 20.9353i | 0.762926 | + | 1.32143i | 0.941336 | + | 0.337470i | \(0.109571\pi\) |
−0.178410 | + | 0.983956i | \(0.557095\pi\) | |||||||
\(252\) | −6.05800 | + | 10.4928i | −0.381618 | + | 0.660982i | ||||
\(253\) | −16.3416 | + | 28.3045i | −1.02739 | + | 1.77949i | ||||
\(254\) | −20.2736 | −1.27208 | ||||||||
\(255\) | −0.283584 | + | 0.491182i | −0.0177587 | + | 0.0307590i | ||||
\(256\) | 20.5259 | 1.28287 | ||||||||
\(257\) | −17.9242 | −1.11808 | −0.559039 | − | 0.829141i | \(-0.688830\pi\) | ||||
−0.559039 | + | 0.829141i | \(0.688830\pi\) | |||||||
\(258\) | 2.78358 | − | 1.17256i | 0.173298 | − | 0.0730003i | ||||
\(259\) | −22.1018 | −1.37334 | ||||||||
\(260\) | −9.55381 | −0.592502 | ||||||||
\(261\) | 7.16498 | − | 12.4101i | 0.443501 | − | 0.768167i | ||||
\(262\) | 12.7928 | 0.790344 | ||||||||
\(263\) | −10.2694 | + | 17.7871i | −0.633238 | + | 1.09680i | 0.353648 | + | 0.935379i | \(0.384941\pi\) |
−0.986886 | + | 0.161421i | \(0.948392\pi\) | |||||||
\(264\) | −1.09270 | + | 1.89262i | −0.0672511 | + | 0.116482i | ||||
\(265\) | −4.16693 | − | 7.21734i | −0.255973 | − | 0.443357i | ||||
\(266\) | 1.70065 | 0.104274 | ||||||||
\(267\) | 0.0242817 | + | 0.0420571i | 0.00148601 | + | 0.00257385i | ||||
\(268\) | −6.74679 | + | 11.6858i | −0.412126 | + | 0.713823i | ||||
\(269\) | −4.64672 | −0.283316 | −0.141658 | − | 0.989916i | \(-0.545243\pi\) | ||||
−0.141658 | + | 0.989916i | \(0.545243\pi\) | |||||||
\(270\) | 3.01209 | − | 5.21709i | 0.183310 | − | 0.317502i | ||||
\(271\) | −5.23478 | − | 9.06690i | −0.317990 | − | 0.550775i | 0.662078 | − | 0.749435i | \(-0.269675\pi\) |
−0.980069 | + | 0.198659i | \(0.936341\pi\) | |||||||
\(272\) | −2.47917 | − | 4.29405i | −0.150322 | − | 0.260365i | ||||
\(273\) | 1.58855 | + | 2.75145i | 0.0961433 | + | 0.166525i | ||||
\(274\) | 3.97369 | 0.240059 | ||||||||
\(275\) | −0.423381 | − | 0.733318i | −0.0255308 | − | 0.0442207i | ||||
\(276\) | −0.849388 | − | 1.47118i | −0.0511272 | − | 0.0885549i | ||||
\(277\) | −14.5074 | + | 25.1276i | −0.871668 | + | 1.50977i | −0.0113979 | + | 0.999935i | \(0.503628\pi\) |
−0.860270 | + | 0.509838i | \(0.829705\pi\) | |||||||
\(278\) | −16.4085 | + | 28.4203i | −0.984114 | + | 1.70454i | ||||
\(279\) | 8.70578 | 0.521201 | ||||||||
\(280\) | −10.7695 | −0.643600 | ||||||||
\(281\) | −7.15139 | + | 12.3866i | −0.426616 | + | 0.738921i | −0.996570 | − | 0.0827560i | \(-0.973628\pi\) |
0.569954 | + | 0.821677i | \(0.306961\pi\) | |||||||
\(282\) | −2.24651 | + | 3.89106i | −0.133777 | + | 0.231709i | ||||
\(283\) | 0.0952753 | + | 0.165022i | 0.00566353 | + | 0.00980952i | 0.868843 | − | 0.495087i | \(-0.164864\pi\) |
−0.863180 | + | 0.504897i | \(0.831531\pi\) | |||||||
\(284\) | −5.71562 | − | 9.89975i | −0.339160 | − | 0.587442i | ||||
\(285\) | −0.157112 | −0.00930652 | ||||||||
\(286\) | 19.2065 | + | 33.2666i | 1.13570 | + | 1.96709i | ||||
\(287\) | −15.5049 | − | 26.8554i | −0.915228 | − | 1.58522i | ||||
\(288\) | 8.83973 | + | 15.3109i | 0.520886 | + | 0.902201i | ||||
\(289\) | −0.500000 | + | 0.866025i | −0.0294118 | + | 0.0509427i | ||||
\(290\) | −19.2707 | −1.13162 | ||||||||
\(291\) | −2.14422 | + | 3.71389i | −0.125696 | + | 0.217712i | ||||
\(292\) | −5.73461 | − | 9.93264i | −0.335593 | − | 0.581264i | ||||
\(293\) | 23.1638 | 1.35324 | 0.676620 | − | 0.736332i | \(-0.263444\pi\) | ||||
0.676620 | + | 0.736332i | \(0.263444\pi\) | |||||||
\(294\) | −1.09701 | − | 1.90008i | −0.0639790 | − | 0.110815i | ||||
\(295\) | 3.91437 | − | 6.77989i | 0.227904 | − | 0.394740i | ||||
\(296\) | −4.59029 | + | 7.95061i | −0.266805 | + | 0.462120i | ||||
\(297\) | −9.10246 | −0.528178 | ||||||||
\(298\) | 9.60332 | − | 16.6334i | 0.556305 | − | 0.963549i | ||||
\(299\) | 19.7363 | 1.14138 | ||||||||
\(300\) | 0.0440122 | 0.00254104 | ||||||||
\(301\) | 2.80210 | − | 22.3152i | 0.161511 | − | 1.28623i | ||||
\(302\) | 10.1105 | 0.581793 | ||||||||
\(303\) | 3.44879 | 0.198128 | ||||||||
\(304\) | 0.686758 | − | 1.18950i | 0.0393883 | − | 0.0682225i | ||||
\(305\) | −13.7106 | −0.785069 | ||||||||
\(306\) | 2.62574 | − | 4.54792i | 0.150104 | − | 0.259987i | ||||
\(307\) | −3.25299 | + | 5.63434i | −0.185658 | + | 0.321569i | −0.943798 | − | 0.330523i | \(-0.892775\pi\) |
0.758140 | + | 0.652092i | \(0.226108\pi\) | |||||||
\(308\) | −12.3096 | − | 21.3208i | −0.701403 | − | 1.21487i | ||||
\(309\) | −3.29118 | −0.187229 | ||||||||
\(310\) | −5.85370 | − | 10.1389i | −0.332468 | − | 0.575851i | ||||
\(311\) | 5.09951 | − | 8.83262i | 0.289167 | − | 0.500852i | −0.684444 | − | 0.729065i | \(-0.739955\pi\) |
0.973611 | + | 0.228214i | \(0.0732884\pi\) | |||||||
\(312\) | 1.31969 | 0.0747127 | ||||||||
\(313\) | −12.6223 | + | 21.8625i | −0.713455 | + | 1.23574i | 0.250098 | + | 0.968221i | \(0.419537\pi\) |
−0.963552 | + | 0.267519i | \(0.913796\pi\) | |||||||
\(314\) | −0.828541 | − | 1.43507i | −0.0467572 | − | 0.0809859i | ||||
\(315\) | −11.0889 | − | 19.2065i | −0.624788 | − | 1.08217i | ||||
\(316\) | 8.18820 | + | 14.1824i | 0.460622 | + | 0.797821i | ||||
\(317\) | −6.66686 | −0.374448 | −0.187224 | − | 0.982317i | \(-0.559949\pi\) | ||||
−0.187224 | + | 0.982317i | \(0.559949\pi\) | |||||||
\(318\) | −0.870821 | − | 1.50831i | −0.0488332 | − | 0.0845816i | ||||
\(319\) | 14.5589 | + | 25.2168i | 0.815142 | + | 1.41187i | ||||
\(320\) | 0.958981 | − | 1.66100i | 0.0536087 | − | 0.0928529i | ||||
\(321\) | −0.680909 | + | 1.17937i | −0.0380046 | + | 0.0658260i | ||||
\(322\) | −33.6590 | −1.87574 | ||||||||
\(323\) | −0.277012 | −0.0154133 | ||||||||
\(324\) | −5.06236 | + | 8.76826i | −0.281242 | + | 0.487125i | ||||
\(325\) | −0.255665 | + | 0.442825i | −0.0141818 | + | 0.0245635i | ||||
\(326\) | −12.0905 | − | 20.9414i | −0.669633 | − | 1.15984i | ||||
\(327\) | −0.633366 | − | 1.09702i | −0.0350252 | − | 0.0606655i | ||||
\(328\) | −12.8808 | −0.711221 | ||||||||
\(329\) | 16.7275 | + | 28.9729i | 0.922218 | + | 1.59733i | ||||
\(330\) | 3.02606 | + | 5.24129i | 0.166579 | + | 0.288524i | ||||
\(331\) | −5.08184 | − | 8.80200i | −0.279323 | − | 0.483801i | 0.691894 | − | 0.721999i | \(-0.256777\pi\) |
−0.971217 | + | 0.238198i | \(0.923443\pi\) | |||||||
\(332\) | −2.13959 | + | 3.70587i | −0.117425 | + | 0.203386i | ||||
\(333\) | −18.9057 | −1.03603 | ||||||||
\(334\) | −8.55829 | + | 14.8234i | −0.468289 | + | 0.811100i | ||||
\(335\) | −12.3497 | − | 21.3903i | −0.674736 | − | 1.16868i | ||||
\(336\) | −4.37607 | −0.238734 | ||||||||
\(337\) | −8.33151 | − | 14.4306i | −0.453846 | − | 0.786085i | 0.544775 | − | 0.838582i | \(-0.316615\pi\) |
−0.998621 | + | 0.0524975i | \(0.983282\pi\) | |||||||
\(338\) | −0.0368975 | + | 0.0639084i | −0.00200696 | + | 0.00347616i | ||||
\(339\) | 2.04539 | − | 3.54272i | 0.111090 | − | 0.192414i | ||||
\(340\) | −2.65396 | −0.143931 | ||||||||
\(341\) | −8.84487 | + | 15.3198i | −0.478976 | + | 0.829612i | ||||
\(342\) | 1.45472 | 0.0786623 | ||||||||
\(343\) | 7.67157 | 0.414226 | ||||||||
\(344\) | −7.44539 | − | 5.64258i | −0.401428 | − | 0.304228i | ||||
\(345\) | 3.10953 | 0.167412 | ||||||||
\(346\) | −9.92144 | −0.533380 | ||||||||
\(347\) | −6.32850 | + | 10.9613i | −0.339731 | + | 0.588432i | −0.984382 | − | 0.176045i | \(-0.943670\pi\) |
0.644651 | + | 0.764477i | \(0.277003\pi\) | |||||||
\(348\) | −1.51346 | −0.0811298 | ||||||||
\(349\) | −7.83631 | + | 13.5729i | −0.419468 | + | 0.726540i | −0.995886 | − | 0.0906153i | \(-0.971117\pi\) |
0.576418 | + | 0.817155i | \(0.304450\pi\) | |||||||
\(350\) | 0.436021 | − | 0.755210i | 0.0233063 | − | 0.0403677i | ||||
\(351\) | 2.74833 | + | 4.76025i | 0.146695 | + | 0.254083i | ||||
\(352\) | −35.9239 | −1.91475 | ||||||||
\(353\) | 0.653966 | + | 1.13270i | 0.0348071 | + | 0.0602876i | 0.882904 | − | 0.469553i | \(-0.155585\pi\) |
−0.848097 | + | 0.529841i | \(0.822252\pi\) | |||||||
\(354\) | 0.818040 | − | 1.41689i | 0.0434783 | − | 0.0753067i | ||||
\(355\) | 20.9244 | 1.11055 | ||||||||
\(356\) | −0.113622 | + | 0.196798i | −0.00602193 | + | 0.0104303i | ||||
\(357\) | 0.441284 | + | 0.764327i | 0.0233552 | + | 0.0404525i | ||||
\(358\) | −6.87224 | − | 11.9031i | −0.363209 | − | 0.629096i | ||||
\(359\) | −1.93693 | − | 3.35485i | −0.102227 | − | 0.177062i | 0.810375 | − | 0.585912i | \(-0.199263\pi\) |
−0.912602 | + | 0.408849i | \(0.865930\pi\) | |||||||
\(360\) | −9.21212 | −0.485521 | ||||||||
\(361\) | 9.46163 | + | 16.3880i | 0.497981 | + | 0.862528i | ||||
\(362\) | 3.72160 | + | 6.44601i | 0.195603 | + | 0.338795i | ||||
\(363\) | 3.15704 | − | 5.46816i | 0.165702 | − | 0.287004i | ||||
\(364\) | −7.43332 | + | 12.8749i | −0.389612 | + | 0.674828i | ||||
\(365\) | 20.9939 | 1.09887 | ||||||||
\(366\) | −2.86530 | −0.149772 | ||||||||
\(367\) | 18.4980 | − | 32.0394i | 0.965586 | − | 1.67244i | 0.257555 | − | 0.966264i | \(-0.417083\pi\) |
0.708031 | − | 0.706181i | \(-0.249584\pi\) | |||||||
\(368\) | −13.5922 | + | 23.5424i | −0.708542 | + | 1.22723i | ||||
\(369\) | −13.2628 | − | 22.9718i | −0.690433 | − | 1.19587i | ||||
\(370\) | 12.7121 | + | 22.0179i | 0.660868 | + | 1.14466i | ||||
\(371\) | −12.9683 | −0.673280 | ||||||||
\(372\) | −0.459730 | − | 0.796275i | −0.0238359 | − | 0.0412849i | ||||
\(373\) | −10.1052 | − | 17.5027i | −0.523228 | − | 0.906257i | −0.999635 | − | 0.0270322i | \(-0.991394\pi\) |
0.476407 | − | 0.879225i | \(-0.341939\pi\) | |||||||
\(374\) | 5.33539 | + | 9.24116i | 0.275886 | + | 0.477849i | ||||
\(375\) | −1.45820 | + | 2.52568i | −0.0753012 | + | 0.130426i | ||||
\(376\) | 13.8964 | 0.716653 | ||||||||
\(377\) | 8.79162 | − | 15.2275i | 0.452792 | − | 0.784258i | ||||
\(378\) | −4.68710 | − | 8.11830i | −0.241078 | − | 0.417560i | ||||
\(379\) | 25.2529 | 1.29715 | 0.648576 | − | 0.761150i | \(-0.275365\pi\) | ||||
0.648576 | + | 0.761150i | \(0.275365\pi\) | |||||||
\(380\) | −0.367589 | − | 0.636683i | −0.0188569 | − | 0.0326611i | ||||
\(381\) | 1.45724 | − | 2.52402i | 0.0746569 | − | 0.129310i | ||||
\(382\) | 10.6929 | − | 18.5206i | 0.547094 | − | 0.947595i | ||||
\(383\) | −18.4448 | −0.942486 | −0.471243 | − | 0.882003i | \(-0.656194\pi\) | ||||
−0.471243 | + | 0.882003i | \(0.656194\pi\) | |||||||
\(384\) | −1.35028 | + | 2.33876i | −0.0689064 | + | 0.119349i | ||||
\(385\) | 45.0642 | 2.29669 | ||||||||
\(386\) | −49.5163 | −2.52031 | ||||||||
\(387\) | 2.39689 | − | 19.0882i | 0.121841 | − | 0.970308i | ||||
\(388\) | −20.0669 | −1.01874 | ||||||||
\(389\) | 22.4870 | 1.14013 | 0.570067 | − | 0.821598i | \(-0.306917\pi\) | ||||
0.570067 | + | 0.821598i | \(0.306917\pi\) | |||||||
\(390\) | 1.82733 | − | 3.16504i | 0.0925307 | − | 0.160268i | ||||
\(391\) | 5.48256 | 0.277265 | ||||||||
\(392\) | −3.39294 | + | 5.87675i | −0.171369 | + | 0.296821i | ||||
\(393\) | −0.919535 | + | 1.59268i | −0.0463844 | + | 0.0803401i | ||||
\(394\) | 9.06764 | + | 15.7056i | 0.456821 | + | 0.791237i | ||||
\(395\) | −29.9763 | −1.50827 | ||||||||
\(396\) | −10.5295 | − | 18.2376i | −0.529127 | − | 0.916475i | ||||
\(397\) | −16.8433 | + | 29.1735i | −0.845342 | + | 1.46418i | 0.0399810 | + | 0.999200i | \(0.487270\pi\) |
−0.885323 | + | 0.464976i | \(0.846063\pi\) | |||||||
\(398\) | 0.699893 | 0.0350824 | ||||||||
\(399\) | −0.122241 | + | 0.211727i | −0.00611970 | + | 0.0105996i | ||||
\(400\) | −0.352148 | − | 0.609939i | −0.0176074 | − | 0.0304969i | ||||
\(401\) | 7.82142 | + | 13.5471i | 0.390583 | + | 0.676510i | 0.992527 | − | 0.122029i | \(-0.0389401\pi\) |
−0.601943 | + | 0.798539i | \(0.705607\pi\) | |||||||
\(402\) | −2.58089 | − | 4.47023i | −0.128723 | − | 0.222955i | ||||
\(403\) | 10.6822 | 0.532119 | ||||||||
\(404\) | 8.06900 | + | 13.9759i | 0.401448 | + | 0.695328i | ||||
\(405\) | −9.26642 | − | 16.0499i | −0.460452 | − | 0.797526i | ||||
\(406\) | −14.9935 | + | 25.9696i | −0.744117 | + | 1.28885i | ||||
\(407\) | 19.2078 | − | 33.2688i | 0.952094 | − | 1.64907i | ||||
\(408\) | 0.366598 | 0.0181493 | ||||||||
\(409\) | −9.90458 | −0.489750 | −0.244875 | − | 0.969555i | \(-0.578747\pi\) | ||||
−0.244875 | + | 0.969555i | \(0.578747\pi\) | |||||||
\(410\) | −17.8356 | + | 30.8922i | −0.880838 | + | 1.52566i | ||||
\(411\) | −0.285624 | + | 0.494715i | −0.0140888 | + | 0.0244025i | ||||
\(412\) | −7.70024 | − | 13.3372i | −0.379364 | − | 0.657077i | ||||
\(413\) | −6.09114 | − | 10.5502i | −0.299725 | − | 0.519140i | ||||
\(414\) | −28.7916 | −1.41503 | ||||||||
\(415\) | −3.91642 | − | 6.78344i | −0.192249 | − | 0.332986i | ||||
\(416\) | 10.8466 | + | 18.7868i | 0.531798 | + | 0.921101i | ||||
\(417\) | −2.35884 | − | 4.08564i | −0.115513 | − | 0.200075i | ||||
\(418\) | −1.47796 | + | 2.55991i | −0.0722895 | + | 0.125209i | ||||
\(419\) | 28.7642 | 1.40522 | 0.702611 | − | 0.711574i | \(-0.252017\pi\) | ||||
0.702611 | + | 0.711574i | \(0.252017\pi\) | |||||||
\(420\) | −1.17115 | + | 2.02849i | −0.0571464 | + | 0.0989804i | ||||
\(421\) | 5.71266 | + | 9.89463i | 0.278418 | + | 0.482235i | 0.970992 | − | 0.239113i | \(-0.0768565\pi\) |
−0.692574 | + | 0.721347i | \(0.743523\pi\) | |||||||
\(422\) | −27.4069 | −1.33415 | ||||||||
\(423\) | 14.3086 | + | 24.7832i | 0.695707 | + | 1.20500i | ||||
\(424\) | −2.69336 | + | 4.66503i | −0.130801 | + | 0.226554i | ||||
\(425\) | −0.0710215 | + | 0.123013i | −0.00344505 | + | 0.00596700i | ||||
\(426\) | 4.37285 | 0.211865 | ||||||||
\(427\) | −10.6675 | + | 18.4767i | −0.516239 | + | 0.894152i | ||||
\(428\) | −6.37238 | −0.308021 | ||||||||
\(429\) | −5.52216 | −0.266612 | ||||||||
\(430\) | −23.8421 | + | 10.0433i | −1.14977 | + | 0.484331i | ||||
\(431\) | 16.1131 | 0.776139 | 0.388069 | − | 0.921630i | \(-0.373142\pi\) | ||||
0.388069 | + | 0.921630i | \(0.373142\pi\) | |||||||
\(432\) | −7.57100 | −0.364260 | ||||||||
\(433\) | 12.5095 | − | 21.6671i | 0.601169 | − | 1.04126i | −0.391476 | − | 0.920189i | \(-0.628035\pi\) |
0.992644 | − | 0.121066i | \(-0.0386314\pi\) | |||||||
\(434\) | −18.2178 | −0.874484 | ||||||||
\(435\) | 1.38516 | − | 2.39916i | 0.0664132 | − | 0.115031i | ||||
\(436\) | 2.96372 | − | 5.13332i | 0.141937 | − | 0.245841i | ||||
\(437\) | 0.759366 | + | 1.31526i | 0.0363254 | + | 0.0629174i | ||||
\(438\) | 4.38738 | 0.209637 | ||||||||
\(439\) | −2.24621 | − | 3.89055i | −0.107206 | − | 0.185686i | 0.807431 | − | 0.589961i | \(-0.200857\pi\) |
−0.914637 | + | 0.404275i | \(0.867524\pi\) | |||||||
\(440\) | 9.35930 | − | 16.2108i | 0.446187 | − | 0.772819i | ||||
\(441\) | −13.9743 | −0.665442 | ||||||||
\(442\) | 3.22185 | − | 5.58042i | 0.153248 | − | 0.265433i | ||||
\(443\) | 11.5300 | + | 19.9705i | 0.547805 | + | 0.948826i | 0.998425 | + | 0.0561099i | \(0.0178697\pi\) |
−0.450620 | + | 0.892716i | \(0.648797\pi\) | |||||||
\(444\) | 0.998362 | + | 1.72921i | 0.0473802 | + | 0.0820649i | ||||
\(445\) | −0.207979 | − | 0.360230i | −0.00985916 | − | 0.0170766i | ||||
\(446\) | −1.81312 | −0.0858538 | ||||||||
\(447\) | 1.38055 | + | 2.39119i | 0.0652979 | + | 0.113099i | ||||
\(448\) | −1.49227 | − | 2.58468i | −0.0705030 | − | 0.122115i | ||||
\(449\) | −0.726640 | + | 1.25858i | −0.0342922 | + | 0.0593959i | −0.882662 | − | 0.470008i | \(-0.844251\pi\) |
0.848370 | + | 0.529404i | \(0.177584\pi\) | |||||||
\(450\) | 0.372968 | − | 0.646000i | 0.0175819 | − | 0.0304527i | ||||
\(451\) | 53.8988 | 2.53799 | ||||||||
\(452\) | 19.1420 | 0.900366 | ||||||||
\(453\) | −0.726730 | + | 1.25873i | −0.0341448 | + | 0.0591405i | ||||
\(454\) | 5.81830 | − | 10.0776i | 0.273066 | − | 0.472964i | ||||
\(455\) | −13.6064 | − | 23.5669i | −0.637876 | − | 1.10483i | ||||
\(456\) | 0.0507759 | + | 0.0879465i | 0.00237780 | + | 0.00411847i | ||||
\(457\) | −19.2248 | −0.899299 | −0.449649 | − | 0.893205i | \(-0.648451\pi\) | ||||
−0.449649 | + | 0.893205i | \(0.648451\pi\) | |||||||
\(458\) | 3.12647 | + | 5.41520i | 0.146090 | + | 0.253036i | ||||
\(459\) | 0.763461 | + | 1.32235i | 0.0356353 | + | 0.0617222i | ||||
\(460\) | 7.27525 | + | 12.6011i | 0.339210 | + | 0.587529i | ||||
\(461\) | −2.59155 | + | 4.48869i | −0.120700 | + | 0.209059i | −0.920044 | − | 0.391815i | \(-0.871847\pi\) |
0.799344 | + | 0.600874i | \(0.205181\pi\) | |||||||
\(462\) | 9.41769 | 0.438151 | ||||||||
\(463\) | 10.8768 | − | 18.8391i | 0.505486 | − | 0.875528i | −0.494493 | − | 0.869181i | \(-0.664646\pi\) |
0.999980 | − | 0.00634678i | \(-0.00202026\pi\) | |||||||
\(464\) | 12.1094 | + | 20.9741i | 0.562165 | + | 0.973699i | ||||
\(465\) | 1.68303 | 0.0780486 | ||||||||
\(466\) | 23.8458 | + | 41.3021i | 1.10463 | + | 1.91328i | ||||
\(467\) | −8.74578 | + | 15.1481i | −0.404706 | + | 0.700972i | −0.994287 | − | 0.106737i | \(-0.965960\pi\) |
0.589581 | + | 0.807709i | \(0.299293\pi\) | |||||||
\(468\) | −6.35840 | + | 11.0131i | −0.293917 | + | 0.509079i | ||||
\(469\) | −38.4347 | −1.77475 | ||||||||
\(470\) | 19.2420 | − | 33.3280i | 0.887565 | − | 1.53731i | ||||
\(471\) | 0.238218 | 0.0109765 | ||||||||
\(472\) | −5.06023 | −0.232916 | ||||||||
\(473\) | 31.1548 | + | 23.6110i | 1.43250 | + | 1.08564i | ||||
\(474\) | −6.26455 | −0.287740 | ||||||||
\(475\) | −0.0393475 | −0.00180539 | ||||||||
\(476\) | −2.06491 | + | 3.57653i | −0.0946450 | + | 0.163930i | ||||
\(477\) | −11.0930 | −0.507912 | ||||||||
\(478\) | 2.62443 | − | 4.54565i | 0.120039 | − | 0.207913i | ||||
\(479\) | −15.2132 | + | 26.3501i | −0.695110 | + | 1.20397i | 0.275034 | + | 0.961434i | \(0.411311\pi\) |
−0.970144 | + | 0.242531i | \(0.922022\pi\) | |||||||
\(480\) | 1.70893 | + | 2.95995i | 0.0780014 | + | 0.135102i | ||||
\(481\) | −23.1978 | −1.05773 | ||||||||
\(482\) | −11.5893 | − | 20.0732i | −0.527876 | − | 0.914308i | ||||
\(483\) | 2.41937 | − | 4.19047i | 0.110085 | − | 0.190673i | ||||
\(484\) | 29.5456 | 1.34298 | ||||||||
\(485\) | 18.3658 | − | 31.8105i | 0.833949 | − | 1.44444i | ||||
\(486\) | −6.03633 | − | 10.4552i | −0.273813 | − | 0.474258i | ||||
\(487\) | 13.7910 | + | 23.8867i | 0.624928 | + | 1.08241i | 0.988555 | + | 0.150863i | \(0.0482051\pi\) |
−0.363626 | + | 0.931545i | \(0.618462\pi\) | |||||||
\(488\) | 4.43104 | + | 7.67479i | 0.200584 | + | 0.347421i | ||||
\(489\) | 3.47622 | 0.157200 | ||||||||
\(490\) | 9.39621 | + | 16.2747i | 0.424477 | + | 0.735216i | ||||
\(491\) | 7.68483 | + | 13.3105i | 0.346811 | + | 0.600695i | 0.985681 | − | 0.168620i | \(-0.0539310\pi\) |
−0.638870 | + | 0.769315i | \(0.720598\pi\) | |||||||
\(492\) | −1.40075 | + | 2.42617i | −0.0631506 | + | 0.109380i | ||||
\(493\) | 2.44223 | − | 4.23007i | 0.109993 | − | 0.190513i | ||||
\(494\) | 1.78498 | 0.0803101 | ||||||||
\(495\) | 38.5475 | 1.73258 | ||||||||
\(496\) | −7.35674 | + | 12.7423i | −0.330328 | + | 0.572144i | ||||
\(497\) | 16.2802 | − | 28.1981i | 0.730266 | − | 1.26486i | ||||
\(498\) | −0.818468 | − | 1.41763i | −0.0366764 | − | 0.0635254i | ||||
\(499\) | −20.0347 | − | 34.7010i | −0.896874 | − | 1.55343i | −0.831468 | − | 0.555573i | \(-0.812499\pi\) |
−0.0654065 | − | 0.997859i | \(-0.520834\pi\) | |||||||
\(500\) | −13.6468 | −0.610303 | ||||||||
\(501\) | −1.23032 | − | 2.13098i | −0.0549667 | − | 0.0952050i | ||||
\(502\) | −21.6358 | − | 37.4743i | −0.965653 | − | 1.67256i | ||||
\(503\) | 17.2831 | + | 29.9352i | 0.770614 | + | 1.33474i | 0.937227 | + | 0.348720i | \(0.113384\pi\) |
−0.166613 | + | 0.986022i | \(0.553283\pi\) | |||||||
\(504\) | −7.16747 | + | 12.4144i | −0.319265 | + | 0.552982i | ||||
\(505\) | −29.5399 | −1.31451 | ||||||||
\(506\) | 29.2516 | − | 50.6652i | 1.30039 | − | 2.25234i | ||||
\(507\) | −0.00530431 | − | 0.00918733i | −0.000235572 | − | 0.000408023i | ||||
\(508\) | 13.6378 | 0.605080 | ||||||||
\(509\) | 10.6524 | + | 18.4504i | 0.472158 | + | 0.817802i | 0.999492 | − | 0.0318561i | \(-0.0101418\pi\) |
−0.527334 | + | 0.849658i | \(0.676808\pi\) | |||||||
\(510\) | 0.507617 | − | 0.879218i | 0.0224777 | − | 0.0389324i | ||||
\(511\) | 16.3343 | − | 28.2918i | 0.722585 | − | 1.25155i | ||||
\(512\) | −15.7521 | −0.696151 | ||||||||
\(513\) | −0.211488 | + | 0.366307i | −0.00933740 | + | 0.0161729i | ||||
\(514\) | 32.0843 | 1.41518 | ||||||||
\(515\) | 28.1899 | 1.24219 | ||||||||
\(516\) | −1.87248 | + | 0.788767i | −0.0824313 | + | 0.0347235i | ||||
\(517\) | −58.1487 | −2.55738 | ||||||||
\(518\) | 39.5624 | 1.73827 | ||||||||
\(519\) | 0.713142 | − | 1.23520i | 0.0313034 | − | 0.0542192i | ||||
\(520\) | −11.3035 | −0.495692 | ||||||||
\(521\) | −10.9820 | + | 19.0214i | −0.481130 | + | 0.833342i | −0.999766 | − | 0.0216536i | \(-0.993107\pi\) |
0.518635 | + | 0.854996i | \(0.326440\pi\) | |||||||
\(522\) | −12.8253 | + | 22.2142i | −0.561350 | + | 0.972287i | ||||
\(523\) | 7.14182 | + | 12.3700i | 0.312290 | + | 0.540902i | 0.978858 | − | 0.204542i | \(-0.0655706\pi\) |
−0.666568 | + | 0.745445i | \(0.732237\pi\) | |||||||
\(524\) | −8.60559 | −0.375937 | ||||||||
\(525\) | 0.0626813 | + | 0.108567i | 0.00273564 | + | 0.00473826i | ||||
\(526\) | 18.3822 | − | 31.8390i | 0.801504 | − | 1.38825i | ||||
\(527\) | 2.96742 | 0.129263 | ||||||||
\(528\) | 3.80306 | − | 6.58709i | 0.165507 | − | 0.286666i | ||||
\(529\) | −3.52922 | − | 6.11279i | −0.153445 | − | 0.265774i | ||||
\(530\) | 7.45882 | + | 12.9191i | 0.323991 | + | 0.561168i | ||||
\(531\) | −5.21030 | − | 9.02451i | −0.226108 | − | 0.391631i | ||||
\(532\) | −1.14401 | −0.0495990 | ||||||||
\(533\) | −16.2738 | − | 28.1870i | −0.704897 | − | 1.22092i | ||||
\(534\) | −0.0434643 | − | 0.0752823i | −0.00188088 | − | 0.00325778i | ||||
\(535\) | 5.83218 | − | 10.1016i | 0.252147 | − | 0.436731i | ||||
\(536\) | −7.98242 | + | 13.8260i | −0.344788 | + | 0.597190i | ||||
\(537\) | 1.97587 | 0.0852653 | ||||||||
\(538\) | 8.31765 | 0.358599 | ||||||||
\(539\) | 14.1976 | − | 24.5909i | 0.611532 | − | 1.05920i | ||||
\(540\) | −2.02620 | + | 3.50947i | −0.0871936 | + | 0.151024i | ||||
\(541\) | −10.9296 | − | 18.9305i | −0.469898 | − | 0.813888i | 0.529509 | − | 0.848304i | \(-0.322376\pi\) |
−0.999408 | + | 0.0344165i | \(0.989043\pi\) | |||||||
\(542\) | 9.37028 | + | 16.2298i | 0.402488 | + | 0.697129i | ||||
\(543\) | −1.07002 | −0.0459189 | ||||||||
\(544\) | 3.01308 | + | 5.21881i | 0.129185 | + | 0.223755i | ||||
\(545\) | 5.42496 | + | 9.39631i | 0.232380 | + | 0.402494i | ||||
\(546\) | −2.84351 | − | 4.92510i | −0.121691 | − | 0.210775i | ||||
\(547\) | 8.82300 | − | 15.2819i | 0.377244 | − | 0.653406i | −0.613416 | − | 0.789760i | \(-0.710205\pi\) |
0.990660 | + | 0.136354i | \(0.0435384\pi\) | |||||||
\(548\) | −2.67305 | −0.114187 | ||||||||
\(549\) | −9.12492 | + | 15.8048i | −0.389442 | + | 0.674533i | ||||
\(550\) | 0.757854 | + | 1.31264i | 0.0323150 | + | 0.0559712i | ||||
\(551\) | 1.35305 | 0.0576420 | ||||||||
\(552\) | −1.00495 | − | 1.74062i | −0.0427734 | − | 0.0740857i | ||||
\(553\) | −23.3230 | + | 40.3966i | −0.991794 | + | 1.71784i | ||||
\(554\) | 25.9684 | − | 44.9786i | 1.10329 | − | 1.91096i | ||||
\(555\) | −3.65491 | −0.155142 | ||||||||
\(556\) | 11.0378 | − | 19.1180i | 0.468106 | − | 0.810784i | ||||
\(557\) | −34.4813 | −1.46102 | −0.730509 | − | 0.682903i | \(-0.760717\pi\) | ||||
−0.730509 | + | 0.682903i | \(0.760717\pi\) | |||||||
\(558\) | −15.5834 | −0.659697 | ||||||||
\(559\) | 2.94105 | − | 23.4217i | 0.124393 | − | 0.990634i | ||||
\(560\) | 37.4823 | 1.58392 | ||||||||
\(561\) | −1.53401 | −0.0647658 | ||||||||
\(562\) | 12.8010 | − | 22.1720i | 0.539978 | − | 0.935270i | ||||
\(563\) | 18.0282 | 0.759799 | 0.379900 | − | 0.925028i | \(-0.375959\pi\) | ||||
0.379900 | + | 0.925028i | \(0.375959\pi\) | |||||||
\(564\) | 1.51120 | − | 2.61747i | 0.0636329 | − | 0.110215i | ||||
\(565\) | −17.5193 | + | 30.3444i | −0.737044 | + | 1.27660i | ||||
\(566\) | −0.170543 | − | 0.295390i | −0.00716847 | − | 0.0124162i | ||||
\(567\) | −28.8389 | −1.21112 | ||||||||
\(568\) | −6.76239 | − | 11.7128i | −0.283744 | − | 0.491458i | ||||
\(569\) | 6.83004 | − | 11.8300i | 0.286330 | − | 0.495939i | −0.686601 | − | 0.727035i | \(-0.740898\pi\) |
0.972931 | + | 0.231096i | \(0.0742312\pi\) | |||||||
\(570\) | 0.281231 | 0.0117795 | ||||||||
\(571\) | −5.75628 | + | 9.97017i | −0.240893 | + | 0.417239i | −0.960969 | − | 0.276657i | \(-0.910774\pi\) |
0.720076 | + | 0.693895i | \(0.244107\pi\) | |||||||
\(572\) | −12.9200 | − | 22.3780i | −0.540211 | − | 0.935673i | ||||
\(573\) | 1.53718 | + | 2.66248i | 0.0642167 | + | 0.111227i | ||||
\(574\) | 27.7539 | + | 48.0712i | 1.15843 | + | 2.00645i | ||||
\(575\) | 0.778759 | 0.0324765 | ||||||||
\(576\) | −1.27647 | − | 2.21091i | −0.0531863 | − | 0.0921214i | ||||
\(577\) | 14.2254 | + | 24.6391i | 0.592210 | + | 1.02574i | 0.993934 | + | 0.109977i | \(0.0350778\pi\) |
−0.401724 | + | 0.915761i | \(0.631589\pi\) | |||||||
\(578\) | 0.895002 | − | 1.55019i | 0.0372272 | − | 0.0644794i | ||||
\(579\) | 3.55917 | − | 6.16467i | 0.147914 | − | 0.256195i | ||||
\(580\) | 12.9632 | 0.538267 | ||||||||
\(581\) | −12.1886 | −0.505670 | ||||||||
\(582\) | 3.83816 | − | 6.64788i | 0.159097 | − | 0.275564i | ||||
\(583\) | 11.2702 | − | 19.5205i | 0.466764 | − | 0.808458i | ||||
\(584\) | −6.78486 | − | 11.7517i | −0.280760 | − | 0.486290i | ||||
\(585\) | −11.6388 | − | 20.1589i | −0.481204 | − | 0.833469i | ||||
\(586\) | −41.4632 | −1.71283 | ||||||||
\(587\) | −8.31840 | − | 14.4079i | −0.343337 | − | 0.594677i | 0.641713 | − | 0.766945i | \(-0.278224\pi\) |
−0.985050 | + | 0.172268i | \(0.944891\pi\) | |||||||
\(588\) | 0.737946 | + | 1.27816i | 0.0304324 | + | 0.0527105i | ||||
\(589\) | 0.411005 | + | 0.711882i | 0.0169352 | + | 0.0293326i | ||||
\(590\) | −7.00674 | + | 12.1360i | −0.288463 | + | 0.499632i | ||||
\(591\) | −2.60709 | −0.107241 | ||||||||
\(592\) | 15.9761 | − | 27.6714i | 0.656614 | − | 1.13729i | ||||
\(593\) | 16.6531 | + | 28.8440i | 0.683860 | + | 1.18448i | 0.973794 | + | 0.227434i | \(0.0730335\pi\) |
−0.289934 | + | 0.957047i | \(0.593633\pi\) | |||||||
\(594\) | 16.2934 | 0.668528 | ||||||||
\(595\) | −3.77972 | − | 6.54668i | −0.154954 | − | 0.268388i | ||||
\(596\) | −6.46004 | + | 11.1891i | −0.264614 | + | 0.458324i | ||||
\(597\) | −0.0503075 | + | 0.0871351i | −0.00205895 | + | 0.00356620i | ||||
\(598\) | −35.3280 | −1.44467 | ||||||||
\(599\) | 17.8293 | − | 30.8812i | 0.728485 | − | 1.26177i | −0.229039 | − | 0.973417i | \(-0.573558\pi\) |
0.957523 | − | 0.288355i | \(-0.0931084\pi\) | |||||||
\(600\) | 0.0520726 | 0.00212586 | ||||||||
\(601\) | 27.2436 | 1.11129 | 0.555644 | − | 0.831420i | \(-0.312472\pi\) | ||||
0.555644 | + | 0.831420i | \(0.312472\pi\) | |||||||
\(602\) | −5.01578 | + | 39.9443i | −0.204428 | + | 1.62801i | ||||
\(603\) | −32.8767 | −1.33884 | ||||||||
\(604\) | −6.80120 | −0.276737 | ||||||||
\(605\) | −27.0410 | + | 46.8363i | −1.09937 | + | 1.90417i | ||||
\(606\) | −6.17336 | −0.250775 | ||||||||
\(607\) | −18.7478 | + | 32.4722i | −0.760951 | + | 1.31801i | 0.181410 | + | 0.983407i | \(0.441934\pi\) |
−0.942361 | + | 0.334598i | \(0.891400\pi\) | |||||||
\(608\) | −0.834659 | + | 1.44567i | −0.0338499 | + | 0.0586297i | ||||
\(609\) | −2.15544 | − | 3.73333i | −0.0873428 | − | 0.151282i | ||||
\(610\) | 24.5421 | 0.993681 | ||||||||
\(611\) | 17.5570 | + | 30.4096i | 0.710280 | + | 1.23024i | ||||
\(612\) | −1.76631 | + | 3.05933i | −0.0713987 | + | 0.123666i | ||||
\(613\) | −12.1160 | −0.489361 | −0.244681 | − | 0.969604i | \(-0.578683\pi\) | ||||
−0.244681 | + | 0.969604i | \(0.578683\pi\) | |||||||
\(614\) | 5.82286 | − | 10.0855i | 0.234991 | − | 0.407017i | ||||
\(615\) | −2.56401 | − | 4.44099i | −0.103391 | − | 0.179078i | ||||
\(616\) | −14.5640 | − | 25.2255i | −0.586799 | − | 1.01637i | ||||
\(617\) | 20.6611 | + | 35.7861i | 0.831786 | + | 1.44069i | 0.896621 | + | 0.442799i | \(0.146014\pi\) |
−0.0648353 | + | 0.997896i | \(0.520652\pi\) | |||||||
\(618\) | 5.89123 | 0.236980 | ||||||||
\(619\) | −2.26740 | − | 3.92725i | −0.0911344 | − | 0.157849i | 0.816854 | − | 0.576844i | \(-0.195716\pi\) |
−0.907989 | + | 0.418995i | \(0.862383\pi\) | |||||||
\(620\) | 3.93771 | + | 6.82032i | 0.158142 | + | 0.273911i | ||||
\(621\) | 4.18572 | − | 7.24988i | 0.167967 | − | 0.290928i | ||||
\(622\) | −9.12815 | + | 15.8104i | −0.366005 | + | 0.633940i | ||||
\(623\) | −0.647271 | −0.0259324 | ||||||||
\(624\) | −4.59307 | −0.183870 | ||||||||
\(625\) | 12.1348 | − | 21.0181i | 0.485392 | − | 0.840724i | ||||
\(626\) | 22.5940 | − | 39.1339i | 0.903037 | − | 1.56411i | ||||
\(627\) | −0.212469 | − | 0.368006i | −0.00848518 | − | 0.0146968i | ||||
\(628\) | 0.557349 | + | 0.965357i | 0.0222407 | + | 0.0385220i | ||||
\(629\) | −6.44414 | −0.256945 | ||||||||
\(630\) | 19.8492 | + | 34.3798i | 0.790809 | + | 1.36972i | ||||
\(631\) | 19.7873 | + | 34.2727i | 0.787722 | + | 1.36437i | 0.927360 | + | 0.374171i | \(0.122073\pi\) |
−0.139638 | + | 0.990203i | \(0.544594\pi\) | |||||||
\(632\) | 9.68780 | + | 16.7798i | 0.385360 | + | 0.667463i | ||||
\(633\) | 1.96998 | − | 3.41211i | 0.0782997 | − | 0.135619i | ||||
\(634\) | 11.9337 | 0.473948 | ||||||||
\(635\) | −12.4817 | + | 21.6190i | −0.495321 | + | 0.857922i | ||||
\(636\) | 0.585791 | + | 1.01462i | 0.0232281 | + | 0.0402323i | ||||
\(637\) | −17.1468 | −0.679382 | ||||||||
\(638\) | −26.0605 | − | 45.1381i | −1.03175 | − | 1.78704i | ||||
\(639\) | 13.9259 | − | 24.1204i | 0.550901 | − | 0.954188i | ||||
\(640\) | 11.5656 | − | 20.0321i | 0.457169 | − | 0.791840i | ||||
\(641\) | −17.1250 | −0.676396 | −0.338198 | − | 0.941075i | \(-0.609817\pi\) | ||||
−0.338198 | + | 0.941075i | \(0.609817\pi\) | |||||||
\(642\) | 1.21883 | − | 2.11108i | 0.0481034 | − | 0.0833175i | ||||
\(643\) | 42.7166 | 1.68458 | 0.842290 | − | 0.539025i | \(-0.181207\pi\) | ||||
0.842290 | + | 0.539025i | \(0.181207\pi\) | |||||||
\(644\) | 22.6420 | 0.892219 | ||||||||
\(645\) | 0.463375 | − | 3.69019i | 0.0182454 | − | 0.145301i | ||||
\(646\) | 0.495852 | 0.0195090 | ||||||||
\(647\) | 45.4761 | 1.78785 | 0.893926 | − | 0.448215i | \(-0.147940\pi\) | ||||
0.893926 | + | 0.448215i | \(0.147940\pi\) | |||||||
\(648\) | −5.98949 | + | 10.3741i | −0.235289 | + | 0.407533i | ||||
\(649\) | 21.1742 | 0.831160 | ||||||||
\(650\) | 0.457642 | − | 0.792659i | 0.0179502 | − | 0.0310906i | ||||
\(651\) | 1.30948 | − | 2.26808i | 0.0513225 | − | 0.0888932i | ||||
\(652\) | 8.13316 | + | 14.0870i | 0.318519 | + | 0.551691i | ||||
\(653\) | 46.4798 | 1.81890 | 0.909448 | − | 0.415818i | \(-0.136505\pi\) | ||||
0.909448 | + | 0.415818i | \(0.136505\pi\) | |||||||
\(654\) | 1.13373 | + | 1.96367i | 0.0443323 | + | 0.0767858i | ||||
\(655\) | 7.87607 | − | 13.6418i | 0.307744 | − | 0.533028i | ||||
\(656\) | 44.8304 | 1.75033 | ||||||||
\(657\) | 13.9722 | − | 24.2005i | 0.545107 | − | 0.944153i | ||||
\(658\) | −29.9423 | − | 51.8616i | −1.16727 | − | 2.02178i | ||||
\(659\) | 15.9907 | + | 27.6966i | 0.622908 | + | 1.07891i | 0.988941 | + | 0.148306i | \(0.0473822\pi\) |
−0.366034 | + | 0.930602i | \(0.619284\pi\) | |||||||
\(660\) | −2.03560 | − | 3.52576i | −0.0792355 | − | 0.137240i | ||||
\(661\) | 2.51336 | 0.0977586 | 0.0488793 | − | 0.998805i | \(-0.484435\pi\) | ||||
0.0488793 | + | 0.998805i | \(0.484435\pi\) | |||||||
\(662\) | 9.09651 | + | 15.7556i | 0.353546 | + | 0.612359i | ||||
\(663\) | 0.463167 | + | 0.802228i | 0.0179879 | + | 0.0311560i | ||||
\(664\) | −2.53144 | + | 4.38458i | −0.0982388 | + | 0.170155i | ||||
\(665\) | 1.04703 | − | 1.81350i | 0.0406020 | − | 0.0703247i | ||||
\(666\) | 33.8413 | 1.31132 | ||||||||
\(667\) | −26.7794 | −1.03690 | ||||||||
\(668\) | 5.75706 | − | 9.97152i | 0.222747 | − | 0.385810i | ||||
\(669\) | 0.130325 | − | 0.225730i | 0.00503866 | − | 0.00872721i | ||||
\(670\) | 22.1060 | + | 38.2888i | 0.854030 | + | 1.47922i | ||||
\(671\) | −18.5414 | − | 32.1147i | −0.715783 | − | 1.23977i | ||||
\(672\) | 5.31851 | 0.205166 | ||||||||
\(673\) | −12.8784 | − | 22.3061i | −0.496427 | − | 0.859836i | 0.503565 | − | 0.863958i | \(-0.332022\pi\) |
−0.999992 | + | 0.00412104i | \(0.998688\pi\) | |||||||
\(674\) | 14.9134 | + | 25.8308i | 0.574444 | + | 0.994967i | ||||
\(675\) | 0.108444 | + | 0.187831i | 0.00417402 | + | 0.00722962i | ||||
\(676\) | 0.0248205 | − | 0.0429904i | 0.000954636 | − | 0.00165348i | ||||
\(677\) | −2.09134 | −0.0803767 | −0.0401884 | − | 0.999192i | \(-0.512796\pi\) | ||||
−0.0401884 | + | 0.999192i | \(0.512796\pi\) | |||||||
\(678\) | −3.66125 | + | 6.34148i | −0.140610 | + | 0.243543i | ||||
\(679\) | −28.5790 | − | 49.5002i | −1.09676 | − | 1.89965i | ||||
\(680\) | −3.14001 | −0.120414 | ||||||||
\(681\) | 0.836425 | + | 1.44873i | 0.0320519 | + | 0.0555155i | ||||
\(682\) | 15.8323 | − | 27.4224i | 0.606252 | − | 1.05006i | ||||
\(683\) | 11.1206 | − | 19.2614i | 0.425517 | − | 0.737018i | −0.570951 | − | 0.820984i | \(-0.693425\pi\) |
0.996469 | + | 0.0839663i | \(0.0267588\pi\) | |||||||
\(684\) | −0.978574 | −0.0374167 | ||||||||
\(685\) | 2.44645 | − | 4.23738i | 0.0934741 | − | 0.161902i | ||||
\(686\) | −13.7321 | −0.524295 | ||||||||
\(687\) | −0.898908 | −0.0342955 | ||||||||
\(688\) | 25.9131 | + | 19.6386i | 0.987926 | + | 0.748713i | ||||
\(689\) | −13.6114 | −0.518551 | ||||||||
\(690\) | −5.56608 | −0.211897 | ||||||||
\(691\) | 2.60475 | − | 4.51156i | 0.0990894 | − | 0.171628i | −0.812219 | − | 0.583353i | \(-0.801740\pi\) |
0.911308 | + | 0.411725i | \(0.135074\pi\) | |||||||
\(692\) | 6.67403 | 0.253709 | ||||||||
\(693\) | 29.9918 | − | 51.9474i | 1.13930 | − | 1.97332i | ||||
\(694\) | 11.3280 | − | 19.6207i | 0.430006 | − | 0.744793i | ||||
\(695\) | 20.2042 | + | 34.9946i | 0.766387 | + | 1.32742i | ||||
\(696\) | −1.79063 | −0.0678738 | ||||||||
\(697\) | −4.52071 | − | 7.83011i | −0.171234 | − | 0.296586i | ||||
\(698\) | 14.0270 | − | 24.2955i | 0.530930 | − | 0.919599i | ||||
\(699\) | −6.85603 | −0.259319 | ||||||||
\(700\) | −0.293306 | + | 0.508021i | −0.0110859 | + | 0.0192014i | ||||
\(701\) | 5.55145 | + | 9.61539i | 0.209675 | + | 0.363168i | 0.951612 | − | 0.307302i | \(-0.0994260\pi\) |
−0.741937 | + | 0.670470i | \(0.766093\pi\) | |||||||
\(702\) | −4.91952 | − | 8.52086i | −0.185675 | − | 0.321599i | ||||
\(703\) | −0.892551 | − | 1.54594i | −0.0336632 | − | 0.0583063i | ||||
\(704\) | 5.18746 | 0.195510 | ||||||||
\(705\) | 2.76618 | + | 4.79116i | 0.104180 | + | 0.180446i | ||||
\(706\) | −1.17060 | − | 2.02754i | −0.0440562 | − | 0.0763075i | ||||
\(707\) | −22.9835 | + | 39.8085i | −0.864382 | + | 1.49715i | ||||
\(708\) | −0.550286 | + | 0.953123i | −0.0206810 | + | 0.0358205i | ||||
\(709\) | −30.3304 | −1.13908 | −0.569541 | − | 0.821963i | \(-0.692879\pi\) | ||||
−0.569541 | + | 0.821963i | \(0.692879\pi\) | |||||||
\(710\) | −37.4547 | −1.40565 | ||||||||
\(711\) | −19.9503 | + | 34.5549i | −0.748193 | + | 1.29591i | ||||
\(712\) | −0.134430 | + | 0.232840i | −0.00503799 | + | 0.00872606i | ||||
\(713\) | −8.13454 | − | 14.0894i | −0.304641 | − | 0.527653i | ||||
\(714\) | −0.789901 | − | 1.36815i | −0.0295613 | − | 0.0512017i | ||||
\(715\) | 47.2988 | 1.76888 | ||||||||
\(716\) | 4.62287 | + | 8.00705i | 0.172765 | + | 0.299237i | ||||
\(717\) | 0.377283 | + | 0.653472i | 0.0140899 | + | 0.0244044i | ||||
\(718\) | 3.46710 | + | 6.00520i | 0.129391 | + | 0.224112i | ||||
\(719\) | 1.42220 | − | 2.46332i | 0.0530391 | − | 0.0918664i | −0.838287 | − | 0.545229i | \(-0.816443\pi\) |
0.891326 | + | 0.453363i | \(0.149776\pi\) | |||||||
\(720\) | 32.0620 | 1.19488 | ||||||||
\(721\) | 21.9331 | − | 37.9892i | 0.816831 | − | 1.41479i | ||||
\(722\) | −16.9364 | − | 29.3346i | −0.630306 | − | 1.09172i | ||||
\(723\) | 3.33209 | 0.123922 | ||||||||
\(724\) | −2.50348 | − | 4.33615i | −0.0930410 | − | 0.161152i | ||||
\(725\) | 0.346902 | − | 0.600852i | 0.0128836 | − | 0.0223151i | ||||
\(726\) | −5.65112 | + | 9.78803i | −0.209733 | + | 0.363268i | ||||
\(727\) | −41.7704 | −1.54918 | −0.774589 | − | 0.632465i | \(-0.782043\pi\) | ||||
−0.774589 | + | 0.632465i | \(0.782043\pi\) | |||||||
\(728\) | −8.79468 | + | 15.2328i | −0.325952 | + | 0.564566i | ||||
\(729\) | −23.4898 | −0.869991 | ||||||||
\(730\) | −37.5792 | −1.39087 | ||||||||
\(731\) | 0.816998 | − | 6.50634i | 0.0302178 | − | 0.240646i | ||||
\(732\) | 1.92745 | 0.0712408 | ||||||||
\(733\) | 28.0260 | 1.03516 | 0.517581 | − | 0.855634i | \(-0.326833\pi\) | ||||
0.517581 | + | 0.855634i | \(0.326833\pi\) | |||||||
\(734\) | −33.1115 | + | 57.3507i | −1.22217 | + | 2.11685i | ||||
\(735\) | −2.70156 | −0.0996484 | ||||||||
\(736\) | 16.5194 | − | 28.6125i | 0.608913 | − | 1.05467i | ||||
\(737\) | 33.4019 | − | 57.8538i | 1.23038 | − | 2.13107i | ||||
\(738\) | 23.7405 | + | 41.1197i | 0.873898 | + | 1.51364i | ||||
\(739\) | −27.5086 | −1.01192 | −0.505959 | − | 0.862557i | \(-0.668861\pi\) | ||||
−0.505959 | + | 0.862557i | \(0.668861\pi\) | |||||||
\(740\) | −8.55125 | − | 14.8112i | −0.314350 | − | 0.544471i | ||||
\(741\) | −0.128302 | + | 0.222226i | −0.00471331 | + | 0.00816369i | ||||
\(742\) | 23.2133 | 0.852187 | ||||||||
\(743\) | −2.03829 | + | 3.53043i | −0.0747778 | + | 0.129519i | −0.900990 | − | 0.433841i | \(-0.857158\pi\) |
0.826212 | + | 0.563360i | \(0.190491\pi\) | |||||||
\(744\) | −0.543926 | − | 0.942107i | −0.0199413 | − | 0.0345393i | ||||
\(745\) | −11.8248 | − | 20.4812i | −0.433228 | − | 0.750372i | ||||
\(746\) | 18.0884 | + | 31.3300i | 0.662262 | + | 1.14707i | ||||
\(747\) | −10.4261 | −0.381470 | ||||||||
\(748\) | −3.58905 | − | 6.21642i | −0.131229 | − | 0.227295i | ||||
\(749\) | −9.07543 | − | 15.7191i | −0.331609 | − | 0.574364i | ||||
\(750\) | 2.61019 | − | 4.52098i | 0.0953106 | − | 0.165083i | ||||
\(751\) | −3.60661 | + | 6.24682i | −0.131607 | + | 0.227950i | −0.924296 | − | 0.381676i | \(-0.875347\pi\) |
0.792689 | + | 0.609626i | \(0.208680\pi\) | |||||||
\(752\) | −48.3654 | −1.76370 | ||||||||
\(753\) | 6.22063 | 0.226692 | ||||||||
\(754\) | −15.7370 | + | 27.2574i | −0.573109 | + | 0.992654i | ||||
\(755\) | 6.22465 | − | 10.7814i | 0.226538 | − | 0.392376i | ||||
\(756\) | 3.15296 | + | 5.46108i | 0.114672 | + | 0.198618i | ||||
\(757\) | −9.48129 | − | 16.4221i | −0.344603 | − | 0.596870i | 0.640678 | − | 0.767809i | \(-0.278653\pi\) |
−0.985282 | + | 0.170939i | \(0.945320\pi\) | |||||||
\(758\) | −45.2027 | −1.64184 | ||||||||
\(759\) | 4.20514 | + | 7.28351i | 0.152637 | + | 0.264375i | ||||
\(760\) | −0.434910 | − | 0.753286i | −0.0157758 | − | 0.0273246i | ||||
\(761\) | 17.2156 | + | 29.8183i | 0.624064 | + | 1.08091i | 0.988721 | + | 0.149769i | \(0.0478530\pi\) |
−0.364657 | + | 0.931142i | \(0.618814\pi\) | |||||||
\(762\) | −2.60847 | + | 4.51801i | −0.0944950 | + | 0.163670i | ||||
\(763\) | 16.8835 | 0.611225 | ||||||||
\(764\) | −7.19296 | + | 12.4586i | −0.260232 | + | 0.450735i | ||||
\(765\) | −3.23314 | − | 5.59997i | −0.116895 | − | 0.202467i | ||||
\(766\) | 33.0163 | 1.19293 | ||||||||
\(767\) | −6.39318 | − | 11.0733i | −0.230844 | − | 0.399834i | ||||
\(768\) | 2.64094 | − | 4.57424i | 0.0952966 | − | 0.165059i | ||||
\(769\) | −14.5996 | + | 25.2873i | −0.526476 | + | 0.911884i | 0.473048 | + | 0.881037i | \(0.343154\pi\) |
−0.999524 | + | 0.0308469i | \(0.990180\pi\) | |||||||
\(770\) | −80.6651 | −2.90697 | ||||||||
\(771\) | −2.30618 | + | 3.99443i | −0.0830552 | + | 0.143856i | ||||
\(772\) | 33.3090 | 1.19882 | ||||||||
\(773\) | 3.70302 | 0.133189 | 0.0665943 | − | 0.997780i | \(-0.478787\pi\) | ||||
0.0665943 | + | 0.997780i | \(0.478787\pi\) | |||||||
\(774\) | −4.29045 | + | 34.1680i | −0.154217 | + | 1.22814i | ||||
\(775\) | 0.421502 | 0.0151408 | ||||||||
\(776\) | −23.7420 | −0.852290 | ||||||||
\(777\) | −2.84370 | + | 4.92543i | −0.102017 | + | 0.176699i | ||||
\(778\) | −40.2518 | −1.44310 | ||||||||
\(779\) | 1.25229 | − | 2.16903i | 0.0448679 | − | 0.0777135i | ||||
\(780\) | −1.22923 | + | 2.12908i | −0.0440134 | + | 0.0762334i | ||||
\(781\) | 28.2968 | + | 49.0115i | 1.01254 | + | 1.75377i | ||||
\(782\) | −9.81380 | −0.350941 | ||||||||
\(783\) | −3.72910 | − | 6.45899i | −0.133267 | − | 0.230825i | ||||
\(784\) | 11.8089 | − | 20.4535i | 0.421745 | − | 0.730484i | ||||
\(785\) | −2.04041 | −0.0728252 | ||||||||
\(786\) | 1.64597 | − | 2.85090i | 0.0587098 | − | 0.101688i | ||||
\(787\) | −14.3918 | − | 24.9273i | −0.513011 | − | 0.888561i | −0.999886 | − | 0.0150897i | \(-0.995197\pi\) |
0.486875 | − | 0.873472i | \(-0.338137\pi\) | |||||||
\(788\) | −6.09969 | − | 10.5650i | −0.217293 | − | 0.376362i | ||||
\(789\) | 2.64259 | + | 4.57710i | 0.0940787 | + | 0.162949i | ||||
\(790\) | 53.6576 | 1.90905 | ||||||||
\(791\) | 27.2618 | + | 47.2188i | 0.969317 | + | 1.67891i | ||||
\(792\) | −12.4579 | − | 21.5777i | −0.442672 | − | 0.766730i | ||||
\(793\) | −11.1965 | + | 19.3929i | −0.397600 | + | 0.688664i | ||||
\(794\) | 30.1496 | − | 52.2207i | 1.06997 | − | 1.85324i | ||||
\(795\) | −2.14453 | −0.0760585 | ||||||||
\(796\) | −0.470809 | −0.0166874 | ||||||||
\(797\) | 10.0669 | − | 17.4364i | 0.356589 | − | 0.617629i | −0.630800 | − | 0.775945i | \(-0.717273\pi\) |
0.987388 | + | 0.158316i | \(0.0506065\pi\) | |||||||
\(798\) | 0.218812 | − | 0.378993i | 0.00774585 | − | 0.0134162i | ||||
\(799\) | 4.87717 | + | 8.44751i | 0.172542 | + | 0.298852i | ||||
\(800\) | 0.427987 | + | 0.741296i | 0.0151316 | + | 0.0262088i | ||||
\(801\) | −0.553670 | −0.0195630 | ||||||||
\(802\) | −14.0004 | − | 24.2494i | −0.494370 | − | 0.856275i | ||||
\(803\) | 28.3908 | + | 49.1744i | 1.00189 | + | 1.73533i | ||||
\(804\) | 1.73613 | + | 3.00707i | 0.0612287 | + | 0.106051i | ||||
\(805\) | −20.7226 | + | 35.8925i | −0.730374 | + | 1.26505i | ||||
\(806\) | −19.1212 | −0.673516 | ||||||||
\(807\) | −0.597863 | + | 1.03553i | −0.0210458 | + | 0.0364524i | ||||
\(808\) | 9.54677 | + | 16.5355i | 0.335854 | + | 0.581717i | ||||
\(809\) | −8.12942 | −0.285815 | −0.142908 | − | 0.989736i | \(-0.545645\pi\) | ||||
−0.142908 | + | 0.989736i | \(0.545645\pi\) | |||||||
\(810\) | 16.5869 | + | 28.7294i | 0.582805 | + | 1.00945i | ||||
\(811\) | 9.23745 | − | 15.9997i | 0.324371 | − | 0.561826i | −0.657014 | − | 0.753878i | \(-0.728181\pi\) |
0.981385 | + | 0.192052i | \(0.0615142\pi\) | |||||||
\(812\) | 10.0860 | − | 17.4694i | 0.353949 | − | 0.613057i | ||||
\(813\) | −2.69410 | −0.0944862 | ||||||||
\(814\) | −34.3820 | + | 59.5513i | −1.20509 | + | 2.08727i | ||||
\(815\) | −29.7748 | −1.04296 | ||||||||
\(816\) | −1.27591 | −0.0446659 | ||||||||
\(817\) | 1.67402 | − | 0.705169i | 0.0585667 | − | 0.0246707i | ||||
\(818\) | 17.7292 | 0.619888 | ||||||||
\(819\) | −36.2221 | −1.26570 | ||||||||
\(820\) | 11.9978 | − | 20.7808i | 0.418981 | − | 0.725697i | ||||
\(821\) | 27.3897 | 0.955908 | 0.477954 | − | 0.878385i | \(-0.341379\pi\) | ||||
0.477954 | + | 0.878385i | \(0.341379\pi\) | |||||||
\(822\) | 0.511268 | − | 0.885543i | 0.0178325 | − | 0.0308868i | ||||
\(823\) | −5.25770 | + | 9.10660i | −0.183272 | + | 0.317436i | −0.942993 | − | 0.332813i | \(-0.892002\pi\) |
0.759721 | + | 0.650249i | \(0.225336\pi\) | |||||||
\(824\) | −9.11048 | − | 15.7798i | −0.317379 | − | 0.549716i | ||||
\(825\) | −0.217895 | −0.00758612 | ||||||||
\(826\) | 10.9032 | + | 18.8848i | 0.379370 | + | 0.657087i | ||||
\(827\) | 12.2698 | − | 21.2519i | 0.426663 | − | 0.739003i | −0.569911 | − | 0.821707i | \(-0.693022\pi\) |
0.996574 | + | 0.0827039i | \(0.0263556\pi\) | |||||||
\(828\) | 19.3677 | 0.673076 | ||||||||
\(829\) | −24.4103 | + | 42.2799i | −0.847806 | + | 1.46844i | 0.0353565 | + | 0.999375i | \(0.488743\pi\) |
−0.883162 | + | 0.469068i | \(0.844590\pi\) | |||||||
\(830\) | 7.01040 | + | 12.1424i | 0.243335 | + | 0.421468i | ||||
\(831\) | 3.73316 | + | 6.46602i | 0.129502 | + | 0.224304i | ||||
\(832\) | −1.56626 | − | 2.71285i | −0.0543005 | − | 0.0940511i | ||||
\(833\) | −4.76323 | −0.165036 | ||||||||
\(834\) | 4.22234 | + | 7.31331i | 0.146208 | + | 0.253239i | ||||
\(835\) | 10.5380 | + | 18.2524i | 0.364684 | + | 0.631651i | ||||
\(836\) | 0.994208 | − | 1.72202i | 0.0343854 | − | 0.0595573i | ||||
\(837\) | 2.26551 | − | 3.92398i | 0.0783076 | − | 0.135633i | ||||
\(838\) | −51.4880 | −1.77862 | ||||||||
\(839\) | −15.7572 | −0.543998 | −0.271999 | − | 0.962297i | \(-0.587685\pi\) | ||||
−0.271999 | + | 0.962297i | \(0.587685\pi\) | |||||||
\(840\) | −1.38564 | + | 2.40000i | −0.0478091 | + | 0.0828078i | ||||
\(841\) | 2.57100 | − | 4.45309i | 0.0886550 | − | 0.153555i | ||||
\(842\) | −10.2257 | − | 17.7114i | −0.352401 | − | 0.610376i | ||||
\(843\) | 1.84025 | + | 3.18740i | 0.0633814 | + | 0.109780i | ||||
\(844\) | 18.4363 | 0.634605 | ||||||||
\(845\) | 0.0454329 | + | 0.0786920i | 0.00156294 | + | 0.00270709i | ||||
\(846\) | −25.6124 | − | 44.3620i | −0.880572 | − | 1.52520i | ||||
\(847\) | 42.0784 | + | 72.8819i | 1.44583 | + | 2.50425i | ||||
\(848\) | 9.37401 | − | 16.2363i | 0.321905 | − | 0.557556i | ||||
\(849\) | 0.0490338 | 0.00168284 | ||||||||
\(850\) | 0.127129 | − | 0.220193i | 0.00436048 | − | 0.00755257i | ||||
\(851\) | 17.6652 | + | 30.5970i | 0.605555 | + | 1.04885i | ||||
\(852\) | −2.94157 | −0.100776 | ||||||||
\(853\) | 22.5246 | + | 39.0138i | 0.771228 | + | 1.33581i | 0.936890 | + | 0.349624i | \(0.113691\pi\) |
−0.165662 | + | 0.986183i | \(0.552976\pi\) | |||||||
\(854\) | 19.0949 | − | 33.0734i | 0.653416 | − | 1.13175i | ||||
\(855\) | 0.895618 | − | 1.55126i | 0.0306295 | − | 0.0530518i | ||||
\(856\) | −7.53943 | −0.257692 | ||||||||
\(857\) | −13.4379 | + | 23.2751i | −0.459029 | + | 0.795062i | −0.998910 | − | 0.0466795i | \(-0.985136\pi\) |
0.539881 | + | 0.841742i | \(0.318469\pi\) | |||||||
\(858\) | 9.88469 | 0.337458 | ||||||||
\(859\) | −15.5589 | −0.530863 | −0.265432 | − | 0.964130i | \(-0.585514\pi\) | ||||
−0.265432 | + | 0.964130i | \(0.585514\pi\) | |||||||
\(860\) | 16.0383 | − | 6.75601i | 0.546902 | − | 0.230378i | ||||
\(861\) | −7.97968 | −0.271947 | ||||||||
\(862\) | −28.8424 | −0.982378 | ||||||||
\(863\) | 0.805291 | − | 1.39480i | 0.0274124 | − | 0.0474797i | −0.851994 | − | 0.523552i | \(-0.824607\pi\) |
0.879406 | + | 0.476072i | \(0.157940\pi\) | |||||||
\(864\) | 9.20149 | 0.313041 | ||||||||
\(865\) | −6.10826 | + | 10.5798i | −0.207687 | + | 0.359725i | ||||
\(866\) | −22.3921 | + | 38.7842i | −0.760914 | + | 1.31794i | ||||
\(867\) | 0.128663 | + | 0.222852i | 0.00436964 | + | 0.00756844i | ||||
\(868\) | 12.2549 | 0.415959 | ||||||||
\(869\) | −40.5380 | − | 70.2139i | −1.37516 | − | 2.38184i | ||||
\(870\) | −2.47944 | + | 4.29451i | −0.0840608 | + | 0.145598i | ||||
\(871\) | −40.3405 | −1.36689 | ||||||||
\(872\) | 3.50650 | − | 6.07344i | 0.118745 | − | 0.205673i | ||||
\(873\) | −24.4462 | − | 42.3421i | −0.827379 | − | 1.43306i | ||||
\(874\) | −1.35927 | − | 2.35432i | −0.0459779 | − | 0.0796361i | ||||
\(875\) | −19.4355 | − | 33.6633i | −0.657040 | − | 1.13803i | ||||
\(876\) | −2.95134 | −0.0997166 | ||||||||
\(877\) | −8.05604 | − | 13.9535i | −0.272033 | − | 0.471175i | 0.697349 | − | 0.716732i | \(-0.254363\pi\) |
−0.969382 | + | 0.245556i | \(0.921029\pi\) | |||||||
\(878\) | 4.02073 | + | 6.96411i | 0.135693 | + | 0.235027i | ||||
\(879\) | 2.98033 | − | 5.16208i | 0.100524 | − | 0.174113i | ||||
\(880\) | −32.5743 | + | 56.4203i | −1.09808 | + | 1.90193i | ||||
\(881\) | 34.6431 | 1.16716 | 0.583578 | − | 0.812057i | \(-0.301652\pi\) | ||||
0.583578 | + | 0.812057i | \(0.301652\pi\) | |||||||
\(882\) | 25.0140 | 0.842266 | ||||||||
\(883\) | 25.6589 | − | 44.4425i | 0.863490 | − | 1.49561i | −0.00504808 | − | 0.999987i | \(-0.501607\pi\) |
0.868538 | − | 0.495622i | \(-0.165060\pi\) | |||||||
\(884\) | −2.16730 | + | 3.75388i | −0.0728943 | + | 0.126257i | ||||
\(885\) | −1.00727 | − | 1.74465i | −0.0338591 | − | 0.0586457i | ||||
\(886\) | −20.6387 | − | 35.7472i | −0.693370 | − | 1.20095i | ||||
\(887\) | −40.7689 | −1.36889 | −0.684443 | − | 0.729067i | \(-0.739954\pi\) | ||||
−0.684443 | + | 0.729067i | \(0.739954\pi\) | |||||||
\(888\) | 1.18120 | + | 2.04591i | 0.0396386 | + | 0.0686561i | ||||
\(889\) | 19.4227 | + | 33.6412i | 0.651418 | + | 1.12829i | ||||
\(890\) | 0.372283 | + | 0.644814i | 0.0124790 | + | 0.0216142i | ||||
\(891\) | 25.0626 | − | 43.4098i | 0.839630 | − | 1.45428i | ||||
\(892\) | 1.21966 | 0.0408374 | ||||||||
\(893\) | −1.35103 | + | 2.34006i | −0.0452106 | + | 0.0783071i | ||||
\(894\) | −2.47119 | − | 4.28023i | −0.0826491 | − | 0.143152i | ||||
\(895\) | −16.9239 | −0.565704 | ||||||||
\(896\) | −17.9971 | − | 31.1719i | −0.601242 | − | 1.04138i | ||||
\(897\) | 2.53934 | − | 4.39826i | 0.0847860 | − | 0.146854i | ||||
\(898\) | 1.30069 | − | 2.25286i | 0.0434045 | − | 0.0751788i | ||||
\(899\) | −14.4943 | −0.483411 | ||||||||
\(900\) | −0.250891 | + | 0.434556i | −0.00836304 | + | 0.0144852i | ||||
\(901\) | −3.78111 | −0.125967 | ||||||||
\(902\) | −96.4790 | −3.21240 | ||||||||
\(903\) | −4.61245 | − | 3.49560i | −0.153493 | − | 0.116326i | ||||
\(904\) | 22.6478 | 0.753253 | ||||||||
\(905\) | 9.16501 | 0.304655 | ||||||||
\(906\) | 1.30085 | − | 2.25314i | 0.0432178 | − | 0.0748555i | ||||
\(907\) | 31.7158 | 1.05310 | 0.526552 | − | 0.850143i | \(-0.323484\pi\) | ||||
0.526552 | + | 0.850143i | \(0.323484\pi\) | |||||||
\(908\) | −3.91390 | + | 6.77907i | −0.129887 | + | 0.224971i | ||||
\(909\) | −19.6598 | + | 34.0518i | −0.652076 | + | 1.12943i | ||||
\(910\) | 24.3554 | + | 42.1849i | 0.807375 | + | 1.39841i | ||||
\(911\) | −12.7832 | −0.423526 | −0.211763 | − | 0.977321i | \(-0.567921\pi\) | ||||
−0.211763 | + | 0.977321i | \(0.567921\pi\) | |||||||
\(912\) | −0.176721 | − | 0.306090i | −0.00585183 | − | 0.0101357i | ||||
\(913\) | 10.5926 | − | 18.3470i | 0.350565 | − | 0.607196i | ||||
\(914\) | 34.4125 | 1.13826 | ||||||||
\(915\) | −1.76406 | + | 3.05544i | −0.0583180 | + | 0.101010i | ||||
\(916\) | −2.10314 | − | 3.64274i | −0.0694896 | − | 0.120360i | ||||
\(917\) | −12.2559 | − | 21.2279i | −0.404726 | − | 0.701007i | ||||
\(918\) | −1.36660 | − | 2.36702i | −0.0451045 | − | 0.0781232i | ||||
\(919\) | −30.0510 | −0.991292 | −0.495646 | − | 0.868525i | \(-0.665069\pi\) | ||||
−0.495646 | + | 0.868525i | \(0.665069\pi\) | |||||||
\(920\) | 8.60765 | + | 14.9089i | 0.283786 | + | 0.491532i | ||||
\(921\) | 0.837081 | + | 1.44987i | 0.0275828 | + | 0.0477747i | ||||
\(922\) | 4.63888 | − | 8.03478i | 0.152773 | − | 0.264611i | ||||
\(923\) | 17.0875 | − | 29.5964i | 0.562441 | − | 0.974176i | ||||
\(924\) | −6.33517 | −0.208412 | ||||||||
\(925\) | −0.915345 | −0.0300964 | ||||||||
\(926\) | −19.4695 | + | 33.7221i | −0.639806 | + | 1.10818i | ||||
\(927\) | 18.7614 | − | 32.4956i | 0.616204 | − | 1.06730i | ||||
\(928\) | −14.7173 | − | 25.4911i | −0.483119 | − | 0.836787i | ||||
\(929\) | −9.60064 | − | 16.6288i | −0.314987 | − | 0.545573i | 0.664448 | − | 0.747335i | \(-0.268667\pi\) |
−0.979435 | + | 0.201761i | \(0.935333\pi\) | |||||||
\(930\) | −3.01263 | −0.0987880 | ||||||||
\(931\) | −0.659735 | − | 1.14269i | −0.0216219 | − | 0.0374503i | ||||
\(932\) | −16.0408 | − | 27.7834i | −0.525433 | − | 0.910077i | ||||
\(933\) | −1.31224 | − | 2.27287i | −0.0429609 | − | 0.0744104i | ||||
\(934\) | 15.6550 | − | 27.1152i | 0.512247 | − | 0.887237i | ||||
\(935\) | 13.1392 | 0.429697 | ||||||||
\(936\) | −7.52289 | + | 13.0300i | −0.245893 | + | 0.425900i | ||||
\(937\) | −26.1338 | − | 45.2651i | −0.853754 | − | 1.47875i | −0.877796 | − | 0.479034i | \(-0.840987\pi\) |
0.0240424 | − | 0.999711i | \(-0.492346\pi\) | |||||||
\(938\) | 68.7982 | 2.24634 | ||||||||
\(939\) | 3.24806 | + | 5.62580i | 0.105996 | + | 0.183591i | ||||
\(940\) | −12.9438 | + | 22.4194i | −0.422181 | + | 0.731239i | ||||
\(941\) | 12.2733 | − | 21.2580i | 0.400099 | − | 0.692992i | −0.593638 | − | 0.804732i | \(-0.702309\pi\) |
0.993737 | + | 0.111740i | \(0.0356424\pi\) | |||||||
\(942\) | −0.426412 | −0.0138932 | ||||||||
\(943\) | −24.7851 | + | 42.9290i | −0.807113 | + | 1.39796i | ||||
\(944\) | 17.6117 | 0.573212 | ||||||||
\(945\) | −11.5427 | −0.375484 | ||||||||
\(946\) | −55.7672 | − | 42.2639i | −1.81315 | − | 1.37412i | ||||
\(947\) | 25.0675 | 0.814583 | 0.407291 | − | 0.913298i | \(-0.366473\pi\) | ||||
0.407291 | + | 0.913298i | \(0.366473\pi\) | |||||||
\(948\) | 4.21409 | 0.136867 | ||||||||
\(949\) | 17.1442 | − | 29.6947i | 0.556526 | − | 0.963931i | ||||
\(950\) | 0.0704322 | 0.00228512 | ||||||||
\(951\) | −0.857781 | + | 1.48572i | −0.0278155 | + | 0.0481778i | ||||
\(952\) | −2.44308 | + | 4.23154i | −0.0791807 | + | 0.137145i | ||||
\(953\) | 19.9788 | + | 34.6043i | 0.647177 | + | 1.12094i | 0.983794 | + | 0.179301i | \(0.0573837\pi\) |
−0.336618 | + | 0.941641i | \(0.609283\pi\) | |||||||
\(954\) | 19.8564 | 0.642876 | ||||||||
\(955\) | −13.1664 | − | 22.8049i | −0.426054 | − | 0.737948i | ||||
\(956\) | −1.76542 | + | 3.05781i | −0.0570979 | + | 0.0988965i | ||||
\(957\) | 7.49280 | 0.242208 | ||||||||
\(958\) | 27.2317 | − | 47.1667i | 0.879817 | − | 1.52389i | ||||
\(959\) | −3.80691 | − | 6.59377i | −0.122932 | − | 0.212924i | ||||
\(960\) | −0.246772 | − | 0.427421i | −0.00796452 | − | 0.0137950i | ||||
\(961\) | 11.0972 | + | 19.2209i | 0.357974 | + | 0.620029i | ||||
\(962\) | 41.5242 | 1.33879 | ||||||||
\(963\) | −7.76304 | − | 13.4460i | −0.250160 | − | 0.433291i | ||||
\(964\) | 7.79595 | + | 13.5030i | 0.251091 | + | 0.434902i | ||||
\(965\) | −30.4853 | + | 52.8021i | −0.981357 | + | 1.69976i | ||||
\(966\) | −4.33068 | + | 7.50095i | −0.139337 | + | 0.241339i | ||||
\(967\) | −0.175364 | −0.00563934 | −0.00281967 | − | 0.999996i | \(-0.500898\pi\) | ||||
−0.00281967 | + | 0.999996i | \(0.500898\pi\) | |||||||
\(968\) | 34.9567 | 1.12355 | ||||||||
\(969\) | −0.0356413 | + | 0.0617325i | −0.00114496 | + | 0.00198313i | ||||
\(970\) | −32.8749 | + | 56.9410i | −1.05555 | + | 1.82826i | ||||
\(971\) | 14.1421 | + | 24.4949i | 0.453842 | + | 0.786077i | 0.998621 | − | 0.0525024i | \(-0.0167197\pi\) |
−0.544779 | + | 0.838580i | \(0.683386\pi\) | |||||||
\(972\) | 4.06056 | + | 7.03310i | 0.130243 | + | 0.225587i | ||||
\(973\) | 62.8792 | 2.01582 | ||||||||
\(974\) | −24.6859 | − | 42.7572i | −0.790987 | − | 1.37003i | ||||
\(975\) | 0.0657895 | + | 0.113951i | 0.00210695 | + | 0.00364935i | ||||
\(976\) | −15.4219 | − | 26.7115i | −0.493642 | − | 0.855013i | ||||
\(977\) | 27.0884 | − | 46.9185i | 0.866636 | − | 1.50106i | 0.00122207 | − | 0.999999i | \(-0.499611\pi\) |
0.865414 | − | 0.501058i | \(-0.167056\pi\) | |||||||
\(978\) | −6.22244 | −0.198972 | ||||||||
\(979\) | 0.562516 | − | 0.974306i | 0.0179781 | − | 0.0311390i | ||||
\(980\) | −6.32072 | − | 10.9478i | −0.201908 | − | 0.349715i | ||||
\(981\) | 14.4420 | 0.461098 | ||||||||
\(982\) | −13.7559 | − | 23.8259i | −0.438968 | − | 0.760314i | ||||
\(983\) | −2.87807 | + | 4.98497i | −0.0917962 | + | 0.158996i | −0.908267 | − | 0.418391i | \(-0.862594\pi\) |
0.816471 | + | 0.577387i | \(0.195928\pi\) | |||||||
\(984\) | −1.65728 | + | 2.87050i | −0.0528323 | + | 0.0915082i | ||||
\(985\) | 22.3304 | 0.711506 | ||||||||
\(986\) | −4.37161 | + | 7.57185i | −0.139220 | + | 0.241137i | ||||
\(987\) | 8.60888 | 0.274024 | ||||||||
\(988\) | −1.20074 | −0.0382005 | ||||||||
\(989\) | −33.1320 | + | 13.9566i | −1.05354 | + | 0.443793i | ||||
\(990\) | −69.0002 | −2.19297 | ||||||||
\(991\) | 45.2592 | 1.43770 | 0.718852 | − | 0.695163i | \(-0.244668\pi\) | ||||
0.718852 | + | 0.695163i | \(0.244668\pi\) | |||||||
\(992\) | 8.94110 | − | 15.4864i | 0.283880 | − | 0.491695i | ||||
\(993\) | −2.61539 | −0.0829968 | ||||||||
\(994\) | −29.1416 | + | 50.4747i | −0.924315 | + | 1.60096i | ||||
\(995\) | 0.430898 | − | 0.746337i | 0.0136604 | − | 0.0236605i | ||||
\(996\) | 0.550573 | + | 0.953621i | 0.0174456 | + | 0.0302166i | ||||
\(997\) | −18.7604 | −0.594147 | −0.297073 | − | 0.954855i | \(-0.596011\pi\) | ||||
−0.297073 | + | 0.954855i | \(0.596011\pi\) | |||||||
\(998\) | 35.8621 | + | 62.1150i | 1.13520 | + | 1.96622i | ||||
\(999\) | −4.91985 | + | 8.52143i | −0.155657 | + | 0.269606i |
(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 | 731.2.e.a.307.8 | ✓ | 58 | |
43.36 | even | 3 | inner | 731.2.e.a.681.8 | yes | 58 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.e.a.307.8 | ✓ | 58 | 1.1 | even | 1 | trivial | |
731.2.e.a.681.8 | yes | 58 | 43.36 | even | 3 | inner |