Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(17,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.f (of order \(18\), degree \(6\), not 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: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 71.6 | ||
Character | \(\chi\) | \(=\) | 162.71 |
Dual form | 162.3.f.a.89.6 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39273 | − | 0.245576i | 0.696364 | − | 0.122788i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.87939 | − | 0.684040i | 0.469846 | − | 0.171010i | ||||
\(5\) | 5.37469 | − | 6.40531i | 1.07494 | − | 1.28106i | 0.117297 | − | 0.993097i | \(-0.462577\pi\) |
0.957641 | − | 0.287964i | \(-0.0929785\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −8.61655 | − | 3.13617i | −1.23094 | − | 0.448024i | −0.357018 | − | 0.934098i | \(-0.616206\pi\) |
−0.873918 | + | 0.486074i | \(0.838429\pi\) | |||||||
\(8\) | 2.44949 | − | 1.41421i | 0.306186 | − | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 5.91250 | − | 10.2407i | 0.591250 | − | 1.02407i | ||||
\(11\) | 4.22940 | + | 5.04040i | 0.384491 | + | 0.458218i | 0.923226 | − | 0.384257i | \(-0.125542\pi\) |
−0.538735 | + | 0.842475i | \(0.681098\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.04310 | − | 5.91570i | 0.0802382 | − | 0.455053i | −0.918045 | − | 0.396477i | \(-0.870233\pi\) |
0.998283 | − | 0.0585766i | \(-0.0186562\pi\) | |||||||
\(14\) | −12.7707 | − | 2.25182i | −0.912192 | − | 0.160844i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.06418 | − | 2.57115i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.880022 | + | 0.508081i | 0.0517660 | + | 0.0298871i | 0.525660 | − | 0.850695i | \(-0.323819\pi\) |
−0.473894 | + | 0.880582i | \(0.657152\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 10.5593 | + | 18.2893i | 0.555754 | + | 0.962594i | 0.997844 | + | 0.0656235i | \(0.0209036\pi\) |
−0.442091 | + | 0.896970i | \(0.645763\pi\) | |||||||
\(20\) | 5.71963 | − | 15.7145i | 0.285981 | − | 0.785727i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 7.12821 | + | 5.98128i | 0.324009 | + | 0.271876i | ||||
\(23\) | 7.33348 | + | 20.1486i | 0.318847 | + | 0.876025i | 0.990788 | + | 0.135421i | \(0.0432386\pi\) |
−0.671941 | + | 0.740605i | \(0.734539\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −7.79945 | − | 44.2329i | −0.311978 | − | 1.76932i | ||||
\(26\) | − | 8.49512i | − | 0.326735i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −18.3391 | −0.654967 | ||||||||
\(29\) | 47.7181 | − | 8.41399i | 1.64545 | − | 0.290138i | 0.727287 | − | 0.686334i | \(-0.240781\pi\) |
0.918166 | + | 0.396196i | \(0.129670\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.20863 | + | 2.25976i | −0.200278 | + | 0.0728954i | −0.440212 | − | 0.897894i | \(-0.645097\pi\) |
0.239933 | + | 0.970789i | \(0.422874\pi\) | |||||||
\(32\) | 3.63616 | − | 4.33340i | 0.113630 | − | 0.135419i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.35040 | + | 0.491507i | 0.0397177 | + | 0.0144561i | ||||
\(35\) | −66.3994 | + | 38.3357i | −1.89713 | + | 1.09531i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −33.2994 | + | 57.6763i | −0.899984 | + | 1.55882i | −0.0724711 | + | 0.997371i | \(0.523089\pi\) |
−0.827513 | + | 0.561447i | \(0.810245\pi\) | |||||||
\(38\) | 19.1977 | + | 22.8789i | 0.505202 | + | 0.602076i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.10678 | − | 23.2907i | 0.102669 | − | 0.582267i | ||||
\(41\) | −52.2291 | − | 9.20941i | −1.27388 | − | 0.224620i | −0.504501 | − | 0.863411i | \(-0.668324\pi\) |
−0.769380 | + | 0.638791i | \(0.779435\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −36.3861 | + | 30.5315i | −0.846188 | + | 0.710036i | −0.958947 | − | 0.283587i | \(-0.908476\pi\) |
0.112759 | + | 0.993622i | \(0.464031\pi\) | |||||||
\(44\) | 11.3965 | + | 6.57978i | 0.259012 | + | 0.149540i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 15.1616 | + | 26.2606i | 0.329599 | + | 0.570882i | ||||
\(47\) | 2.23172 | − | 6.13159i | 0.0474833 | − | 0.130459i | −0.913684 | − | 0.406425i | \(-0.866775\pi\) |
0.961168 | + | 0.275965i | \(0.0889975\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 26.8732 | + | 22.5493i | 0.548433 | + | 0.460190i | ||||
\(50\) | −21.7250 | − | 59.6890i | −0.434501 | − | 1.19378i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.08619 | − | 11.8314i | −0.0401191 | − | 0.227527i | ||||
\(53\) | 39.7705i | 0.750386i | 0.926947 | + | 0.375193i | \(0.122424\pi\) | ||||
−0.926947 | + | 0.375193i | \(0.877576\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 55.0170 | 1.00031 | ||||||||
\(56\) | −25.5414 | + | 4.50363i | −0.456096 | + | 0.0804220i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 64.3921 | − | 23.4368i | 1.11021 | − | 0.404083i | ||||
\(59\) | 18.0238 | − | 21.4799i | 0.305488 | − | 0.364067i | −0.591358 | − | 0.806409i | \(-0.701408\pi\) |
0.896846 | + | 0.442342i | \(0.145852\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 38.6125 | + | 14.0538i | 0.632992 | + | 0.230390i | 0.638533 | − | 0.769594i | \(-0.279542\pi\) |
−0.00554114 | + | 0.999985i | \(0.501764\pi\) | |||||||
\(62\) | −8.09199 | + | 4.67191i | −0.130516 | + | 0.0753535i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | − | 6.92820i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −32.2855 | − | 38.4764i | −0.496700 | − | 0.591944i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.57695 | + | 14.6146i | −0.0384619 | + | 0.218128i | −0.997981 | − | 0.0635158i | \(-0.979769\pi\) |
0.959519 | + | 0.281644i | \(0.0908798\pi\) | |||||||
\(68\) | 2.00145 | + | 0.352909i | 0.0294331 | + | 0.00518984i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −83.0620 | + | 69.6973i | −1.18660 | + | 0.995676i | ||||
\(71\) | 65.6502 | + | 37.9031i | 0.924650 | + | 0.533847i | 0.885116 | − | 0.465371i | \(-0.154079\pi\) |
0.0395346 | + | 0.999218i | \(0.487412\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −26.5140 | − | 45.9236i | −0.363205 | − | 0.629090i | 0.625281 | − | 0.780400i | \(-0.284984\pi\) |
−0.988486 | + | 0.151310i | \(0.951651\pi\) | |||||||
\(74\) | −32.2131 | + | 88.5049i | −0.435313 | + | 1.19601i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 32.3556 | + | 27.1496i | 0.425732 | + | 0.357232i | ||||
\(77\) | −20.6353 | − | 56.6950i | −0.267991 | − | 0.736299i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.2149 | − | 80.6166i | −0.179935 | − | 1.02046i | −0.932292 | − | 0.361708i | \(-0.882194\pi\) |
0.752356 | − | 0.658756i | \(-0.228917\pi\) | |||||||
\(80\) | − | 33.4461i | − | 0.418077i | ||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −75.0026 | −0.914666 | ||||||||
\(83\) | −46.2126 | + | 8.14852i | −0.556778 | + | 0.0981749i | −0.444955 | − | 0.895553i | \(-0.646780\pi\) |
−0.111823 | + | 0.993728i | \(0.535669\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.98426 | − | 2.90603i | 0.0939324 | − | 0.0341886i | ||||
\(86\) | −43.1781 | + | 51.4577i | −0.502071 | + | 0.598345i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 17.4881 | + | 6.36514i | 0.198728 | + | 0.0723311i | ||||
\(89\) | −20.2996 | + | 11.7200i | −0.228085 | + | 0.131685i | −0.609689 | − | 0.792641i | \(-0.708705\pi\) |
0.381603 | + | 0.924326i | \(0.375372\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −27.5405 | + | 47.7016i | −0.302643 | + | 0.524193i | ||||
\(92\) | 27.5649 | + | 32.8505i | 0.299618 | + | 0.357071i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.60241 | − | 9.08769i | 0.0170469 | − | 0.0966776i | ||||
\(95\) | 173.902 | + | 30.6635i | 1.83054 | + | 0.322774i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 26.8130 | − | 22.4988i | 0.276423 | − | 0.231946i | −0.494028 | − | 0.869446i | \(-0.664476\pi\) |
0.770450 | + | 0.637500i | \(0.220031\pi\) | |||||||
\(98\) | 42.9647 | + | 24.8057i | 0.438415 | + | 0.253119i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −44.9152 | − | 77.7955i | −0.449152 | − | 0.777955i | ||||
\(101\) | 41.4761 | − | 113.955i | 0.410655 | − | 1.12826i | −0.546189 | − | 0.837662i | \(-0.683922\pi\) |
0.956844 | − | 0.290603i | \(-0.0938559\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −144.726 | − | 121.440i | −1.40511 | − | 1.17903i | −0.958776 | − | 0.284161i | \(-0.908285\pi\) |
−0.446334 | − | 0.894866i | \(-0.647271\pi\) | |||||||
\(104\) | −5.81100 | − | 15.9656i | −0.0558750 | − | 0.153515i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 9.76666 | + | 55.3895i | 0.0921383 | + | 0.522542i | ||||
\(107\) | − | 76.4765i | − | 0.714733i | −0.933964 | − | 0.357367i | \(-0.883675\pi\) | ||
0.933964 | − | 0.357367i | \(-0.116325\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 43.7808 | 0.401659 | 0.200829 | − | 0.979626i | \(-0.435636\pi\) | ||||
0.200829 | + | 0.979626i | \(0.435636\pi\) | |||||||
\(110\) | 76.6238 | − | 13.5108i | 0.696580 | − | 0.122826i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −34.4662 | + | 12.5447i | −0.307734 | + | 0.112006i | ||||
\(113\) | 0.133455 | − | 0.159046i | 0.00118102 | − | 0.00140749i | −0.765454 | − | 0.643491i | \(-0.777485\pi\) |
0.766635 | + | 0.642084i | \(0.221930\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 168.473 | + | 61.3192i | 1.46498 | + | 0.533210i | ||||
\(116\) | 83.9252 | − | 48.4543i | 0.723493 | − | 0.417709i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 19.8273 | − | 34.3419i | 0.168028 | − | 0.291033i | ||||
\(119\) | −5.98932 | − | 7.13780i | −0.0503305 | − | 0.0599815i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 13.4936 | − | 76.5260i | 0.111517 | − | 0.632446i | ||||
\(122\) | 57.2280 | + | 10.0908i | 0.469082 | + | 0.0827118i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −10.1226 | + | 8.49390i | −0.0816342 | + | 0.0684992i | ||||
\(125\) | −144.212 | − | 83.2610i | −1.15370 | − | 0.666088i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 77.5448 | + | 134.312i | 0.610589 | + | 1.05757i | 0.991141 | + | 0.132812i | \(0.0424006\pi\) |
−0.380552 | + | 0.924759i | \(0.624266\pi\) | |||||||
\(128\) | 3.86952 | − | 10.6314i | 0.0302306 | − | 0.0830579i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −54.4138 | − | 45.6586i | −0.418568 | − | 0.351220i | ||||
\(131\) | 46.3122 | + | 127.242i | 0.353529 | + | 0.971312i | 0.981227 | + | 0.192855i | \(0.0617748\pi\) |
−0.627699 | + | 0.778456i | \(0.716003\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −33.6267 | − | 190.706i | −0.252832 | − | 1.43388i | ||||
\(134\) | 20.9870i | 0.156619i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.87414 | 0.0211334 | ||||||||
\(137\) | −46.2957 | + | 8.16317i | −0.337924 | + | 0.0595852i | −0.340036 | − | 0.940413i | \(-0.610439\pi\) |
0.00211111 | + | 0.999998i | \(0.499328\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −45.5216 | + | 16.5685i | −0.327494 | + | 0.119198i | −0.500534 | − | 0.865717i | \(-0.666863\pi\) |
0.173040 | + | 0.984915i | \(0.444641\pi\) | |||||||
\(140\) | −98.5669 | + | 117.467i | −0.704049 | + | 0.839053i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 100.741 | + | 36.6667i | 0.709443 | + | 0.258216i | ||||
\(143\) | 34.2292 | − | 19.7622i | 0.239365 | − | 0.138197i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 202.576 | − | 350.872i | 1.39708 | − | 2.41981i | ||||
\(146\) | −48.2045 | − | 57.4479i | −0.330168 | − | 0.393479i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −23.1295 | + | 131.174i | −0.156281 | + | 0.886311i | ||||
\(149\) | −82.6444 | − | 14.5724i | −0.554660 | − | 0.0978015i | −0.110710 | − | 0.993853i | \(-0.535312\pi\) |
−0.443951 | + | 0.896051i | \(0.646423\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −98.8811 | + | 82.9711i | −0.654842 | + | 0.549477i | −0.908536 | − | 0.417807i | \(-0.862799\pi\) |
0.253694 | + | 0.967284i | \(0.418354\pi\) | |||||||
\(152\) | 51.7299 | + | 29.8663i | 0.340328 | + | 0.196489i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −42.6623 | − | 73.8932i | −0.277028 | − | 0.479826i | ||||
\(155\) | −18.8950 | + | 51.9137i | −0.121903 | + | 0.334927i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 159.054 | + | 133.462i | 1.01308 | + | 0.850079i | 0.988743 | − | 0.149625i | \(-0.0478066\pi\) |
0.0243416 | + | 0.999704i | \(0.492251\pi\) | |||||||
\(158\) | −39.5950 | − | 108.786i | −0.250601 | − | 0.688521i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.21355 | − | 46.5814i | −0.0513347 | − | 0.291134i | ||||
\(161\) | − | 196.610i | − | 1.22118i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −171.033 | −1.04928 | −0.524641 | − | 0.851324i | \(-0.675800\pi\) | ||||
−0.524641 | + | 0.851324i | \(0.675800\pi\) | |||||||
\(164\) | −104.458 | + | 18.4188i | −0.636941 | + | 0.112310i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −62.3605 | + | 22.6974i | −0.375665 | + | 0.136731i | ||||
\(167\) | 101.372 | − | 120.810i | 0.607015 | − | 0.723413i | −0.371765 | − | 0.928327i | \(-0.621247\pi\) |
0.978780 | + | 0.204914i | \(0.0656916\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 124.901 | + | 45.4601i | 0.739057 | + | 0.268995i | ||||
\(170\) | 10.4063 | − | 6.00805i | 0.0612132 | − | 0.0353415i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −47.4986 | + | 82.2700i | −0.276155 | + | 0.478314i | ||||
\(173\) | 10.7700 | + | 12.8352i | 0.0622543 | + | 0.0741918i | 0.796273 | − | 0.604938i | \(-0.206802\pi\) |
−0.734019 | + | 0.679129i | \(0.762358\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −71.5174 | + | 405.595i | −0.408671 | + | 2.31769i | ||||
\(176\) | 25.9193 | + | 4.57027i | 0.147269 | + | 0.0259674i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −25.3937 | + | 21.3078i | −0.142661 | + | 0.119707i | ||||
\(179\) | 94.2561 | + | 54.4188i | 0.526570 | + | 0.304016i | 0.739619 | − | 0.673026i | \(-0.235006\pi\) |
−0.213048 | + | 0.977042i | \(0.568339\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −18.5784 | − | 32.1787i | −0.102643 | − | 0.177783i | 0.810130 | − | 0.586251i | \(-0.199397\pi\) |
−0.912773 | + | 0.408468i | \(0.866063\pi\) | |||||||
\(182\) | −26.6421 | + | 73.1986i | −0.146385 | + | 0.402190i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 46.4577 | + | 38.9826i | 0.252487 | + | 0.211862i | ||||
\(185\) | 190.460 | + | 523.285i | 1.02951 | + | 2.82857i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.16103 | + | 6.58454i | 0.00620873 | + | 0.0352115i | ||||
\(188\) | − | 13.0502i | − | 0.0694160i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 249.728 | 1.31436 | ||||||||
\(191\) | −211.469 | + | 37.2877i | −1.10717 | + | 0.195223i | −0.697200 | − | 0.716877i | \(-0.745571\pi\) |
−0.409967 | + | 0.912100i | \(0.634460\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −266.703 | + | 97.0720i | −1.38188 | + | 0.502964i | −0.922748 | − | 0.385403i | \(-0.874062\pi\) |
−0.459134 | + | 0.888367i | \(0.651840\pi\) | |||||||
\(194\) | 31.8181 | − | 37.9193i | 0.164011 | − | 0.195460i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 65.9298 | + | 23.9965i | 0.336376 | + | 0.122431i | ||||
\(197\) | 154.203 | − | 89.0292i | 0.782756 | − | 0.451925i | −0.0546498 | − | 0.998506i | \(-0.517404\pi\) |
0.837406 | + | 0.546581i | \(0.184071\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −72.8436 | + | 126.169i | −0.366048 | + | 0.634014i | −0.988944 | − | 0.148291i | \(-0.952623\pi\) |
0.622896 | + | 0.782305i | \(0.285956\pi\) | |||||||
\(200\) | −81.6594 | − | 97.3179i | −0.408297 | − | 0.486590i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 29.7805 | − | 168.894i | 0.147428 | − | 0.836107i | ||||
\(203\) | −437.553 | − | 77.1525i | −2.15544 | − | 0.380061i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −339.705 | + | 285.046i | −1.65710 | + | 1.39047i | ||||
\(206\) | −231.387 | − | 133.591i | −1.12324 | − | 0.648502i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −12.0139 | − | 20.8087i | −0.0577592 | − | 0.100042i | ||||
\(209\) | −47.5258 | + | 130.576i | −0.227396 | + | 0.624765i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −227.718 | − | 191.078i | −1.07923 | − | 0.905584i | −0.0833757 | − | 0.996518i | \(-0.526570\pi\) |
−0.995857 | + | 0.0909345i | \(0.971015\pi\) | |||||||
\(212\) | 27.2046 | + | 74.7440i | 0.128324 | + | 0.352566i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −18.7808 | − | 106.511i | −0.0877605 | − | 0.497715i | ||||
\(215\) | 397.161i | 1.84726i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 60.5839 | 0.279189 | ||||||||
\(218\) | 60.9748 | − | 10.7515i | 0.279701 | − | 0.0493188i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 103.398 | − | 37.6339i | 0.469992 | − | 0.171063i | ||||
\(221\) | 3.92360 | − | 4.67596i | 0.0177538 | − | 0.0211582i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 198.549 | + | 72.2658i | 0.890352 | + | 0.324062i | 0.746380 | − | 0.665520i | \(-0.231790\pi\) |
0.143972 | + | 0.989582i | \(0.454012\pi\) | |||||||
\(224\) | −44.9214 | + | 25.9354i | −0.200542 | + | 0.115783i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.146809 | − | 0.254281i | 0.000649599 | − | 0.00112514i | ||||
\(227\) | −10.3430 | − | 12.3263i | −0.0455638 | − | 0.0543008i | 0.742781 | − | 0.669534i | \(-0.233506\pi\) |
−0.788345 | + | 0.615233i | \(0.789062\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 45.3854 | − | 257.394i | 0.198190 | − | 1.12399i | −0.709613 | − | 0.704592i | \(-0.751130\pi\) |
0.907803 | − | 0.419398i | \(-0.137759\pi\) | |||||||
\(230\) | 249.696 | + | 44.0281i | 1.08563 | + | 0.191426i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 104.986 | − | 88.0936i | 0.452525 | − | 0.379714i | ||||
\(233\) | −278.614 | − | 160.858i | −1.19577 | − | 0.690377i | −0.236159 | − | 0.971715i | \(-0.575889\pi\) |
−0.959609 | + | 0.281338i | \(0.909222\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −27.2799 | − | 47.2502i | −0.116085 | − | 0.201065i | ||||
\(236\) | 19.1805 | − | 52.6981i | 0.0812735 | − | 0.223297i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −10.0944 | − | 8.47018i | −0.0424133 | − | 0.0355890i | ||||
\(239\) | −26.9782 | − | 74.1219i | −0.112879 | − | 0.310133i | 0.870370 | − | 0.492398i | \(-0.163879\pi\) |
−0.983250 | + | 0.182265i | \(0.941657\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 52.6081 | + | 298.355i | 0.218291 | + | 1.23799i | 0.875104 | + | 0.483935i | \(0.160793\pi\) |
−0.656813 | + | 0.754053i | \(0.728096\pi\) | |||||||
\(242\) | − | 109.894i | − | 0.454106i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 82.1811 | 0.336808 | ||||||||
\(245\) | 288.870 | − | 50.9357i | 1.17906 | − | 0.207901i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 119.208 | − | 43.3882i | 0.482624 | − | 0.175661i | ||||
\(248\) | −12.0122 | + | 14.3156i | −0.0484363 | + | 0.0577241i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −221.295 | − | 80.5449i | −0.885182 | − | 0.322180i | ||||
\(251\) | 71.3813 | − | 41.2120i | 0.284387 | − | 0.164191i | −0.351021 | − | 0.936368i | \(-0.614165\pi\) |
0.635408 | + | 0.772177i | \(0.280832\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −70.5407 | + | 122.180i | −0.278817 | + | 0.482925i | ||||
\(254\) | 140.982 | + | 168.016i | 0.555049 | + | 0.661482i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.77837 | − | 15.7569i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 21.2643 | + | 3.74948i | 0.0827406 | + | 0.0145894i | 0.214865 | − | 0.976644i | \(-0.431069\pi\) |
−0.132125 | + | 0.991233i | \(0.542180\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 467.808 | − | 392.538i | 1.80621 | − | 1.51559i | ||||
\(260\) | −86.9963 | − | 50.2274i | −0.334601 | − | 0.193182i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 95.7479 | + | 165.840i | 0.365450 | + | 0.632978i | ||||
\(263\) | 17.1583 | − | 47.1420i | 0.0652407 | − | 0.179247i | −0.902789 | − | 0.430085i | \(-0.858484\pi\) |
0.968029 | + | 0.250837i | \(0.0807059\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 254.742 | + | 213.754i | 0.961291 | + | 0.806619i | ||||
\(266\) | −93.6657 | − | 257.344i | −0.352127 | − | 0.967460i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.15390 | + | 29.2292i | 0.0192310 | + | 0.109064i | ||||
\(269\) | 119.776i | 0.445263i | 0.974903 | + | 0.222632i | \(0.0714648\pi\) | ||||
−0.974903 | + | 0.222632i | \(0.928535\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −146.752 | −0.541522 | −0.270761 | − | 0.962647i | \(-0.587275\pi\) | ||||
−0.270761 | + | 0.962647i | \(0.587275\pi\) | |||||||
\(272\) | 4.00289 | − | 0.705818i | 0.0147165 | − | 0.00259492i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −62.4726 | + | 22.7382i | −0.228002 | + | 0.0829860i | ||||
\(275\) | 189.965 | − | 226.391i | 0.690780 | − | 0.823240i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −306.464 | − | 111.544i | −1.10637 | − | 0.402685i | −0.276707 | − | 0.960954i | \(-0.589243\pi\) |
−0.829659 | + | 0.558270i | \(0.811465\pi\) | |||||||
\(278\) | −59.3305 | + | 34.2545i | −0.213419 | + | 0.123217i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −108.430 | + | 187.806i | −0.387249 | + | 0.670735i | ||||
\(281\) | 8.78420 | + | 10.4686i | 0.0312605 | + | 0.0372548i | 0.781448 | − | 0.623970i | \(-0.214481\pi\) |
−0.750188 | + | 0.661225i | \(0.770037\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 79.1142 | − | 448.679i | 0.279555 | − | 1.58544i | −0.444554 | − | 0.895752i | \(-0.646638\pi\) |
0.724109 | − | 0.689685i | \(-0.242251\pi\) | |||||||
\(284\) | 149.309 | + | 26.3272i | 0.525737 | + | 0.0927016i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 42.8188 | − | 35.9293i | 0.149716 | − | 0.125627i | ||||
\(287\) | 421.153 | + | 243.153i | 1.46743 | + | 0.847222i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −143.984 | − | 249.387i | −0.498214 | − | 0.862931i | ||||
\(290\) | 195.968 | − | 538.417i | 0.675751 | − | 1.85661i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −81.2436 | − | 68.1715i | −0.278231 | − | 0.233464i | ||||
\(293\) | −166.845 | − | 458.404i | −0.569438 | − | 1.56452i | −0.805384 | − | 0.592753i | \(-0.798041\pi\) |
0.235946 | − | 0.971766i | \(-0.424181\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −40.7132 | − | 230.896i | −0.138011 | − | 0.782698i | ||||
\(296\) | 188.370i | 0.636385i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −118.680 | −0.398254 | ||||||||
\(299\) | 126.842 | − | 22.3657i | 0.424222 | − | 0.0748018i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 409.274 | − | 148.964i | 1.35972 | − | 0.494896i | ||||
\(302\) | −117.339 | + | 139.839i | −0.388539 | + | 0.463043i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 79.3801 | + | 28.8920i | 0.261119 | + | 0.0950395i | ||||
\(305\) | 297.549 | − | 171.790i | 0.975571 | − | 0.563246i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.37352 | − | 7.57515i | 0.0142460 | − | 0.0246748i | −0.858815 | − | 0.512287i | \(-0.828799\pi\) |
0.873061 | + | 0.487612i | \(0.162132\pi\) | |||||||
\(308\) | −77.5633 | − | 92.4364i | −0.251829 | − | 0.300118i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −13.5669 | + | 76.9418i | −0.0437642 | + | 0.248199i | ||||
\(311\) | −51.0927 | − | 9.00901i | −0.164285 | − | 0.0289679i | 0.0909005 | − | 0.995860i | \(-0.471025\pi\) |
−0.255186 | + | 0.966892i | \(0.582137\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −279.972 | + | 234.925i | −0.894481 | + | 0.750558i | −0.969104 | − | 0.246653i | \(-0.920669\pi\) |
0.0746231 | + | 0.997212i | \(0.476225\pi\) | |||||||
\(314\) | 254.294 | + | 146.817i | 0.809855 | + | 0.467570i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −81.8603 | − | 141.786i | −0.259052 | − | 0.448690i | ||||
\(317\) | −156.797 | + | 430.796i | −0.494627 | + | 1.35898i | 0.401776 | + | 0.915738i | \(0.368393\pi\) |
−0.896403 | + | 0.443239i | \(0.853829\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 244.229 | + | 204.932i | 0.765608 | + | 0.642421i | ||||
\(320\) | −22.8785 | − | 62.8582i | −0.0714953 | − | 0.196432i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −48.2827 | − | 273.825i | −0.149946 | − | 0.850387i | ||||
\(323\) | 21.4600i | 0.0664395i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −269.804 | −0.830166 | ||||||||
\(326\) | −238.202 | + | 42.0015i | −0.730682 | + | 0.128839i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −140.959 | + | 51.3048i | −0.429753 | + | 0.156417i | ||||
\(329\) | −38.4594 | + | 45.8341i | −0.116898 | + | 0.139313i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −417.551 | − | 151.976i | −1.26148 | − | 0.459143i | −0.377218 | − | 0.926125i | \(-0.623119\pi\) |
−0.884267 | + | 0.466982i | \(0.845341\pi\) | |||||||
\(332\) | −81.2773 | + | 46.9255i | −0.244811 | + | 0.141342i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 111.515 | − | 193.150i | 0.333877 | − | 0.578293i | ||||
\(335\) | 79.7607 | + | 95.0551i | 0.238092 | + | 0.283747i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.6199 | + | 88.5848i | −0.0463498 | + | 0.262863i | −0.999173 | − | 0.0406634i | \(-0.987053\pi\) |
0.952823 | + | 0.303526i | \(0.0981640\pi\) | |||||||
\(338\) | 185.117 | + | 32.6410i | 0.547682 | + | 0.0965712i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 13.0177 | − | 10.9231i | 0.0382872 | − | 0.0321268i | ||||
\(341\) | −37.6489 | − | 21.7366i | −0.110407 | − | 0.0637436i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 63.8177 | + | 110.536i | 0.186058 | + | 0.322261i | ||||
\(344\) | −45.9492 | + | 126.244i | −0.133573 | + | 0.366989i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.1517 | + | 15.2311i | 0.0524615 | + | 0.0440204i | ||||
\(347\) | −169.850 | − | 466.660i | −0.489483 | − | 1.34484i | −0.901150 | − | 0.433508i | \(-0.857276\pi\) |
0.411667 | − | 0.911334i | \(-0.364947\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 58.8946 | + | 334.008i | 0.168752 | + | 0.957042i | 0.945111 | + | 0.326750i | \(0.105954\pi\) |
−0.776358 | + | 0.630292i | \(0.782935\pi\) | |||||||
\(350\) | 582.447i | 1.66413i | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 37.2209 | 0.105741 | ||||||||
\(353\) | 217.451 | − | 38.3425i | 0.616008 | − | 0.108619i | 0.143067 | − | 0.989713i | \(-0.454304\pi\) |
0.472941 | + | 0.881094i | \(0.343192\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 595.631 | − | 216.792i | 1.67783 | − | 0.610681i | ||||
\(356\) | −30.1338 | + | 35.9121i | −0.0846456 | + | 0.100877i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 144.637 | + | 52.6436i | 0.404014 | + | 0.147049i | ||||
\(359\) | −494.204 | + | 285.329i | −1.37661 | + | 0.794788i | −0.991750 | − | 0.128185i | \(-0.959085\pi\) |
−0.384864 | + | 0.922973i | \(0.625751\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −42.4986 | + | 73.6098i | −0.117725 | + | 0.203905i | ||||
\(362\) | −33.7770 | − | 40.2539i | −0.0933066 | − | 0.111198i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −19.1294 | + | 108.488i | −0.0525534 | + | 0.298045i | ||||
\(365\) | −436.659 | − | 76.9948i | −1.19633 | − | 0.210945i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −161.979 | + | 135.917i | −0.441360 | + | 0.370345i | −0.836218 | − | 0.548397i | \(-0.815238\pi\) |
0.394858 | + | 0.918742i | \(0.370794\pi\) | |||||||
\(368\) | 74.2761 | + | 42.8833i | 0.201837 | + | 0.116531i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 393.765 | + | 682.021i | 1.06423 | + | 1.84330i | ||||
\(371\) | 124.727 | − | 342.684i | 0.336191 | − | 0.923677i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −53.2124 | − | 44.6505i | −0.142661 | − | 0.119706i | 0.568665 | − | 0.822569i | \(-0.307460\pi\) |
−0.711325 | + | 0.702863i | \(0.751905\pi\) | |||||||
\(374\) | 3.23401 | + | 8.88536i | 0.00864707 | + | 0.0237576i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.20481 | − | 18.1754i | −0.00852343 | − | 0.0483388i | ||||
\(377\) | − | 291.063i | − | 0.772049i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 390.211 | 1.02958 | 0.514791 | − | 0.857316i | \(-0.327870\pi\) | ||||
0.514791 | + | 0.857316i | \(0.327870\pi\) | |||||||
\(380\) | 347.803 | − | 61.3271i | 0.915271 | − | 0.161387i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −285.362 | + | 103.863i | −0.747020 | + | 0.271893i | ||||
\(383\) | 116.563 | − | 138.915i | 0.304342 | − | 0.362701i | −0.592098 | − | 0.805866i | \(-0.701700\pi\) |
0.896440 | + | 0.443165i | \(0.146144\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −474.057 | − | 172.543i | −1.23132 | − | 0.448163i | ||||
\(386\) | −347.607 | + | 200.691i | −0.900535 | + | 0.519924i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 35.0019 | − | 60.6250i | 0.0902110 | − | 0.156250i | ||||
\(389\) | 432.550 | + | 515.493i | 1.11195 | + | 1.32518i | 0.940427 | + | 0.339996i | \(0.110426\pi\) |
0.171527 | + | 0.985179i | \(0.445130\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.78348 | + | 21.4572i | −0.00967642 | + | 0.0548777i | ||||
\(392\) | 97.7152 | + | 17.2298i | 0.249274 | + | 0.0439536i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 192.900 | − | 161.862i | 0.489593 | − | 0.410817i | ||||
\(395\) | −592.775 | − | 342.239i | −1.50070 | − | 0.866427i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 226.822 | + | 392.867i | 0.571340 | + | 0.989590i | 0.996429 | + | 0.0844384i | \(0.0269096\pi\) |
−0.425089 | + | 0.905152i | \(0.639757\pi\) | |||||||
\(398\) | −70.4674 | + | 193.608i | −0.177054 | + | 0.486451i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −137.628 | − | 115.484i | −0.344071 | − | 0.288710i | ||||
\(401\) | 107.387 | + | 295.043i | 0.267798 | + | 0.735769i | 0.998586 | + | 0.0531643i | \(0.0169307\pi\) |
−0.730788 | + | 0.682605i | \(0.760847\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.89183 | + | 39.0855i | 0.0171013 | + | 0.0969864i | ||||
\(404\) | − | 242.536i | − | 0.600337i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −628.340 | −1.54763 | ||||||||
\(407\) | −431.548 | + | 76.0936i | −1.06031 | + | 0.186962i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.59923 | + | 0.582072i | −0.00391009 | + | 0.00142316i | −0.343974 | − | 0.938979i | \(-0.611773\pi\) |
0.340064 | + | 0.940402i | \(0.389551\pi\) | |||||||
\(410\) | −403.116 | + | 480.415i | −0.983209 | + | 1.17174i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −355.066 | − | 129.234i | −0.861812 | − | 0.313674i | ||||
\(413\) | −222.668 | + | 128.557i | −0.539147 | + | 0.311277i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −196.184 | + | 339.801i | −0.472733 | + | 0.818798i | ||||
\(416\) | −21.8422 | − | 26.0305i | −0.0525053 | − | 0.0625734i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −34.1242 | + | 193.528i | −0.0816369 | + | 0.462986i | ||||
\(419\) | 98.5462 | + | 17.3764i | 0.235194 | + | 0.0414710i | 0.290003 | − | 0.957026i | \(-0.406344\pi\) |
−0.0548088 | + | 0.998497i | \(0.517455\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 486.614 | − | 408.318i | 1.15585 | − | 0.969876i | 0.156012 | − | 0.987755i | \(-0.450136\pi\) |
0.999840 | + | 0.0178796i | \(0.00569155\pi\) | |||||||
\(422\) | −364.074 | − | 210.198i | −0.862734 | − | 0.498099i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 56.2439 | + | 97.4173i | 0.132651 | + | 0.229758i | ||||
\(425\) | 15.6102 | − | 42.8886i | 0.0367299 | − | 0.100914i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −288.632 | − | 242.191i | −0.675952 | − | 0.567191i | ||||
\(428\) | −52.3130 | − | 143.729i | −0.122227 | − | 0.335815i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 97.5332 | + | 553.138i | 0.226821 | + | 1.28637i | ||||
\(431\) | − | 180.242i | − | 0.418195i | −0.977895 | − | 0.209098i | \(-0.932947\pi\) | ||
0.977895 | − | 0.209098i | \(-0.0670526\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 161.992 | 0.374115 | 0.187058 | − | 0.982349i | \(-0.440105\pi\) | ||||
0.187058 | + | 0.982349i | \(0.440105\pi\) | |||||||
\(434\) | 84.3770 | − | 14.8779i | 0.194417 | − | 0.0342810i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 82.2810 | − | 29.9478i | 0.188718 | − | 0.0686877i | ||||
\(437\) | −291.066 | + | 346.880i | −0.666056 | + | 0.793775i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 302.339 | + | 110.043i | 0.688700 | + | 0.250666i | 0.662579 | − | 0.748992i | \(-0.269462\pi\) |
0.0261216 | + | 0.999659i | \(0.491684\pi\) | |||||||
\(440\) | 134.764 | − | 77.8059i | 0.306281 | − | 0.176831i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.31621 | − | 7.47589i | 0.00976517 | − | 0.0169138i | ||||
\(443\) | −325.041 | − | 387.368i | −0.733726 | − | 0.874421i | 0.262161 | − | 0.965024i | \(-0.415565\pi\) |
−0.995887 | + | 0.0906036i | \(0.971120\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −34.0340 | + | 193.016i | −0.0764809 | + | 0.433745i | ||||
\(446\) | 294.271 | + | 51.8879i | 0.659800 | + | 0.116341i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −56.1942 | + | 47.1525i | −0.125434 | + | 0.105251i | ||||
\(449\) | 621.494 | + | 358.820i | 1.38417 | + | 0.799153i | 0.992651 | − | 0.121015i | \(-0.0386148\pi\) |
0.391524 | + | 0.920168i | \(0.371948\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −174.479 | − | 302.206i | −0.386871 | − | 0.670080i | ||||
\(452\) | 0.142020 | − | 0.390198i | 0.000314204 | − | 0.000863269i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −17.4320 | − | 14.6272i | −0.0383965 | − | 0.0322185i | ||||
\(455\) | 157.521 | + | 432.787i | 0.346201 | + | 0.951179i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 72.4920 | + | 411.123i | 0.158626 | + | 0.899612i | 0.955396 | + | 0.295329i | \(0.0954292\pi\) |
−0.796770 | + | 0.604283i | \(0.793460\pi\) | |||||||
\(458\) | − | 369.625i | − | 0.807041i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 358.570 | 0.779501 | ||||||||
\(461\) | 807.492 | − | 142.383i | 1.75161 | − | 0.308856i | 0.796397 | − | 0.604774i | \(-0.206737\pi\) |
0.955213 | + | 0.295918i | \(0.0956255\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −800.359 | + | 291.307i | −1.72864 | + | 0.629173i | −0.998532 | − | 0.0541620i | \(-0.982751\pi\) |
−0.730105 | + | 0.683335i | \(0.760529\pi\) | |||||||
\(464\) | 124.583 | − | 148.472i | 0.268498 | − | 0.319984i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −427.536 | − | 155.610i | −0.917460 | − | 0.333928i | ||||
\(467\) | 557.001 | − | 321.585i | 1.19272 | − | 0.688619i | 0.233800 | − | 0.972285i | \(-0.424884\pi\) |
0.958923 | + | 0.283666i | \(0.0915507\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 68.0383 | − | 117.846i | 0.145071 | − | 0.251270i | ||||
\(470\) | −49.5970 | − | 59.1074i | −0.105526 | − | 0.125760i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 13.7719 | − | 78.1044i | 0.0291778 | − | 0.165475i | ||||
\(473\) | −307.782 | − | 54.2704i | −0.650703 | − | 0.114736i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 726.631 | − | 609.716i | 1.52975 | − | 1.28361i | ||||
\(476\) | −16.1388 | − | 9.31774i | −0.0339050 | − | 0.0195751i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −55.7758 | − | 96.6065i | −0.116686 | − | 0.202106i | ||||
\(479\) | 103.396 | − | 284.077i | 0.215857 | − | 0.593062i | −0.783751 | − | 0.621076i | \(-0.786696\pi\) |
0.999608 | + | 0.0280135i | \(0.00891813\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 306.461 | + | 257.151i | 0.637132 | + | 0.534617i | ||||
\(482\) | 146.538 | + | 402.609i | 0.304020 | + | 0.835288i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −26.9872 | − | 153.052i | −0.0557586 | − | 0.316223i | ||||
\(485\) | − | 292.669i | − | 0.603442i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 584.450 | 1.20010 | 0.600052 | − | 0.799961i | \(-0.295147\pi\) | ||||
0.600052 | + | 0.799961i | \(0.295147\pi\) | |||||||
\(488\) | 114.456 | − | 20.1817i | 0.234541 | − | 0.0413559i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 389.810 | − | 141.879i | 0.795530 | − | 0.289549i | ||||
\(491\) | 177.012 | − | 210.954i | 0.360513 | − | 0.429643i | −0.555050 | − | 0.831817i | \(-0.687301\pi\) |
0.915563 | + | 0.402174i | \(0.131745\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 46.2680 | + | 16.8402i | 0.0938498 | + | 0.0341586i | ||||
\(494\) | 155.370 | − | 89.7027i | 0.314513 | − | 0.181584i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −13.2142 | + | 22.8876i | −0.0266415 | + | 0.0461444i | ||||
\(497\) | −446.807 | − | 532.484i | −0.899009 | − | 1.07140i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −29.6099 | + | 167.926i | −0.0593384 | + | 0.336525i | −0.999996 | − | 0.00283231i | \(-0.999098\pi\) |
0.940658 | + | 0.339357i | \(0.110210\pi\) | |||||||
\(500\) | −327.984 | − | 57.8325i | −0.655969 | − | 0.115665i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 89.2941 | − | 74.9266i | 0.177877 | − | 0.149256i | ||||
\(503\) | 13.2176 | + | 7.63121i | 0.0262776 | + | 0.0151714i | 0.513081 | − | 0.858340i | \(-0.328504\pi\) |
−0.486804 | + | 0.873511i | \(0.661837\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −506.994 | − | 878.139i | −1.00395 | − | 1.73889i | ||||
\(506\) | −68.2396 | + | 187.487i | −0.134861 | + | 0.370527i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 237.611 | + | 199.379i | 0.467738 | + | 0.392479i | ||||
\(509\) | 177.011 | + | 486.334i | 0.347762 | + | 0.955470i | 0.983073 | + | 0.183213i | \(0.0586498\pi\) |
−0.635311 | + | 0.772257i | \(0.719128\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 84.4351 | + | 478.855i | 0.165235 | + | 0.937094i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 30.5362 | 0.0594090 | ||||||||
\(515\) | −1555.72 | + | 274.315i | −3.02081 | + | 0.532651i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 40.3445 | − | 14.6842i | 0.0780358 | − | 0.0284027i | ||||
\(518\) | 555.132 | − | 661.581i | 1.07168 | − | 1.27718i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −133.497 | − | 48.5889i | −0.256725 | − | 0.0934402i | ||||
\(521\) | −843.550 | + | 487.024i | −1.61910 | + | 0.934786i | −0.631943 | + | 0.775015i | \(0.717742\pi\) |
−0.987154 | + | 0.159771i | \(0.948924\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 159.545 | − | 276.340i | 0.305058 | − | 0.528375i | −0.672217 | − | 0.740355i | \(-0.734658\pi\) |
0.977274 | + | 0.211979i | \(0.0679909\pi\) | |||||||
\(524\) | 174.077 | + | 207.457i | 0.332208 | + | 0.395910i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.3199 | − | 69.8697i | 0.0234219 | − | 0.132832i | ||||
\(527\) | −6.61187 | − | 1.16585i | −0.0125462 | − | 0.00221224i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 53.0522 | − | 44.5161i | 0.100288 | − | 0.0841514i | ||||
\(530\) | 407.279 | + | 235.143i | 0.768451 | + | 0.443666i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −193.648 | − | 335.409i | −0.364001 | − | 0.630468i | ||||
\(533\) | −108.960 | + | 299.365i | −0.204428 | + | 0.561661i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −489.855 | − | 411.037i | −0.915617 | − | 0.768294i | ||||
\(536\) | 14.3560 | + | 39.4427i | 0.0267835 | + | 0.0735871i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 29.4140 | + | 166.815i | 0.0546729 | + | 0.310066i | ||||
\(539\) | 230.822i | 0.428241i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −604.682 | −1.11771 | −0.558856 | − | 0.829265i | \(-0.688759\pi\) | ||||
−0.558856 | + | 0.829265i | \(0.688759\pi\) | |||||||
\(542\) | −204.386 | + | 36.0388i | −0.377096 | + | 0.0664922i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.40161 | − | 1.96603i | 0.00992944 | − | 0.00361402i | ||||
\(545\) | 235.308 | − | 280.430i | 0.431758 | − | 0.514550i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −789.301 | − | 287.282i | −1.44296 | − | 0.525196i | −0.502347 | − | 0.864666i | \(-0.667530\pi\) |
−0.940617 | + | 0.339470i | \(0.889752\pi\) | |||||||
\(548\) | −81.4234 | + | 47.0098i | −0.148583 | + | 0.0857844i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 208.973 | − | 361.952i | 0.379951 | − | 0.658094i | ||||
\(551\) | 657.757 | + | 783.884i | 1.19375 | + | 1.42266i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −130.344 | + | 739.218i | −0.235703 | + | 1.33674i | ||||
\(554\) | −454.213 | − | 80.0900i | −0.819879 | − | 0.144567i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −74.2192 | + | 62.2773i | −0.133488 | + | 0.112009i | ||||
\(557\) | 785.853 | + | 453.713i | 1.41087 | + | 0.814565i | 0.995470 | − | 0.0950749i | \(-0.0303091\pi\) |
0.415398 | + | 0.909640i | \(0.363642\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 142.661 | + | 247.096i | 0.255208 | + | 0.442033i | ||||
\(560\) | −104.893 | + | 288.190i | −0.187308 | + | 0.514626i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.8048 | + | 12.4227i | 0.0263431 | + | 0.0221045i | ||||
\(563\) | −23.4667 | − | 64.4741i | −0.0416815 | − | 0.114519i | 0.917106 | − | 0.398644i | \(-0.130519\pi\) |
−0.958787 | + | 0.284125i | \(0.908297\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.301457 | − | 1.70965i | −0.000533552 | − | 0.00302592i | ||||
\(566\) | − | 644.316i | − | 1.13837i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 214.413 | 0.377487 | ||||||||
\(569\) | 459.085 | − | 80.9491i | 0.806828 | − | 0.142265i | 0.245004 | − | 0.969522i | \(-0.421211\pi\) |
0.561824 | + | 0.827257i | \(0.310100\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −496.079 | + | 180.558i | −0.868789 | + | 0.316213i | −0.737677 | − | 0.675154i | \(-0.764077\pi\) |
−0.131113 | + | 0.991367i | \(0.541855\pi\) | |||||||
\(572\) | 50.8116 | − | 60.5549i | 0.0888315 | − | 0.105865i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 646.264 | + | 235.221i | 1.12590 | + | 0.409792i | ||||
\(575\) | 834.033 | − | 481.529i | 1.45049 | − | 0.837442i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 171.837 | − | 297.630i | 0.297811 | − | 0.515824i | −0.677824 | − | 0.735224i | \(-0.737077\pi\) |
0.975635 | + | 0.219401i | \(0.0704101\pi\) | |||||||
\(578\) | −261.774 | − | 311.970i | −0.452895 | − | 0.539740i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 140.708 | − | 797.993i | 0.242600 | − | 1.37585i | ||||
\(581\) | 423.748 | + | 74.7182i | 0.729342 | + | 0.128603i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −200.459 | + | 168.205i | −0.343841 | + | 0.288517i | ||||
\(584\) | −129.891 | − | 74.9929i | −0.222417 | − | 0.128412i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −344.943 | − | 597.459i | −0.588640 | − | 1.01956i | ||||
\(587\) | 56.2267 | − | 154.482i | 0.0957866 | − | 0.263172i | −0.882541 | − | 0.470236i | \(-0.844169\pi\) |
0.978327 | + | 0.207064i | \(0.0663910\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −106.888 | − | 89.6899i | −0.181474 | − | 0.152275i | ||||
\(590\) | −113.405 | − | 311.577i | −0.192212 | − | 0.528097i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 46.2590 | + | 262.348i | 0.0781403 | + | 0.443155i | ||||
\(593\) | − | 349.285i | − | 0.589014i | −0.955649 | − | 0.294507i | \(-0.904845\pi\) | ||
0.955649 | − | 0.294507i | \(-0.0951555\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −77.9106 | −0.130942 | ||||||||
\(596\) | −165.289 | + | 29.1449i | −0.277330 | + | 0.0489008i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 171.165 | − | 62.2988i | 0.286228 | − | 0.104179i | ||||
\(599\) | 387.503 | − | 461.808i | 0.646917 | − | 0.770965i | −0.338529 | − | 0.940956i | \(-0.609929\pi\) |
0.985446 | + | 0.169991i | \(0.0543737\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 37.6412 | + | 13.7003i | 0.0626310 | + | 0.0227958i | 0.373146 | − | 0.927773i | \(-0.378279\pi\) |
−0.310515 | + | 0.950569i | \(0.600501\pi\) | |||||||
\(602\) | 533.426 | − | 307.974i | 0.886090 | − | 0.511584i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −129.080 | + | 223.573i | −0.213709 | + | 0.370154i | ||||
\(605\) | −417.648 | − | 497.734i | −0.690328 | − | 0.822701i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 173.949 | − | 986.513i | 0.286572 | − | 1.62523i | −0.413046 | − | 0.910710i | \(-0.635535\pi\) |
0.699617 | − | 0.714518i | \(-0.253354\pi\) | |||||||
\(608\) | 117.650 | + | 20.7449i | 0.193504 | + | 0.0341199i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 372.218 | − | 312.328i | 0.610193 | − | 0.512013i | ||||
\(611\) | −33.9447 | − | 19.5980i | −0.0555560 | − | 0.0320753i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −45.2825 | − | 78.4316i | −0.0738704 | − | 0.127947i | 0.826724 | − | 0.562608i | \(-0.190202\pi\) |
−0.900594 | + | 0.434660i | \(0.856868\pi\) | |||||||
\(614\) | 4.23085 | − | 11.6242i | 0.00689063 | − | 0.0189319i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −130.725 | − | 109.691i | −0.212216 | − | 0.178070i | ||||
\(617\) | 337.332 | + | 926.812i | 0.546729 | + | 1.50213i | 0.838100 | + | 0.545516i | \(0.183666\pi\) |
−0.291371 | + | 0.956610i | \(0.594111\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 169.172 | + | 959.420i | 0.273298 | + | 1.54995i | 0.744316 | + | 0.667828i | \(0.232776\pi\) |
−0.471017 | + | 0.882124i | \(0.656113\pi\) | |||||||
\(620\) | 110.491i | 0.178211i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −73.3706 | −0.117959 | ||||||||
\(623\) | 211.668 | − | 37.3228i | 0.339757 | − | 0.0599083i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −253.245 | + | 92.1738i | −0.405193 | + | 0.147478i | ||||
\(626\) | −332.234 | + | 395.941i | −0.530725 | + | 0.632493i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 390.218 | + | 142.028i | 0.621366 | + | 0.226159i | ||||
\(629\) | −58.6084 | + | 33.8376i | −0.0931771 | + | 0.0537958i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.01746 | − | 8.69050i | 0.00795160 | − | 0.0137726i | −0.862022 | − | 0.506870i | \(-0.830802\pi\) |
0.869974 | + | 0.493098i | \(0.164136\pi\) | |||||||
\(632\) | −148.828 | − | 177.367i | −0.235488 | − | 0.280644i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −112.582 | + | 638.487i | −0.177575 | + | 1.00708i | ||||
\(635\) | 1277.09 | + | 225.185i | 2.01116 | + | 0.354622i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 161.426 | − | 135.453i | 0.253416 | − | 0.212642i | ||||
\(638\) | 390.471 | + | 225.439i | 0.612024 | + | 0.353352i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −47.3000 | − | 81.9260i | −0.0739062 | − | 0.128009i | ||||
\(641\) | 80.7353 | − | 221.818i | 0.125952 | − | 0.346050i | −0.860650 | − | 0.509197i | \(-0.829942\pi\) |
0.986602 | + | 0.163147i | \(0.0521645\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.9909 | − | 18.4526i | −0.0342005 | − | 0.0286976i | 0.625527 | − | 0.780202i | \(-0.284884\pi\) |
−0.659728 | + | 0.751505i | \(0.729328\pi\) | |||||||
\(644\) | −134.489 | − | 369.506i | −0.208834 | − | 0.573768i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.27004 | + | 29.8879i | 0.00815796 | + | 0.0462661i | ||||
\(647\) | − | 230.995i | − | 0.357024i | −0.983938 | − | 0.178512i | \(-0.942872\pi\) | ||
0.983938 | − | 0.178512i | \(-0.0571284\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 184.497 | 0.284280 | ||||||||
\(650\) | −375.763 | + | 66.2572i | −0.578098 | + | 0.101934i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −321.437 | + | 116.993i | −0.493001 | + | 0.179438i | ||||
\(653\) | −704.150 | + | 839.173i | −1.07833 | + | 1.28510i | −0.122092 | + | 0.992519i | \(0.538960\pi\) |
−0.956239 | + | 0.292586i | \(0.905484\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1063.94 | + | 387.241i | 1.62433 | + | 0.591208i | ||||
\(656\) | −183.718 | + | 106.070i | −0.280058 | + | 0.161692i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −42.3077 | + | 73.2791i | −0.0642975 | + | 0.111366i | ||||
\(659\) | −231.520 | − | 275.915i | −0.351321 | − | 0.418688i | 0.561224 | − | 0.827664i | \(-0.310330\pi\) |
−0.912545 | + | 0.408976i | \(0.865886\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −27.1592 | + | 154.027i | −0.0410880 | + | 0.233022i | −0.998435 | − | 0.0559177i | \(-0.982192\pi\) |
0.957347 | + | 0.288940i | \(0.0933027\pi\) | |||||||
\(662\) | −618.857 | − | 109.121i | −0.934830 | − | 0.164836i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −101.673 | + | 85.3141i | −0.153123 | + | 0.128485i | ||||
\(665\) | −1402.27 | − | 809.598i | −2.10867 | − | 1.21744i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 519.470 | + | 899.749i | 0.778816 | + | 1.34895i | ||||
\(668\) | 107.877 | − | 296.391i | 0.161493 | − | 0.443698i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 134.428 | + | 112.799i | 0.200639 | + | 0.168356i | ||||
\(671\) | 92.4709 | + | 254.062i | 0.137811 | + | 0.378632i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −131.778 | − | 747.351i | −0.195807 | − | 1.11048i | −0.911265 | − | 0.411821i | \(-0.864893\pi\) |
0.715458 | − | 0.698656i | \(-0.246218\pi\) | |||||||
\(674\) | 127.210i | 0.188739i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 265.833 | 0.393244 | ||||||||
\(677\) | −1043.94 | + | 184.074i | −1.54200 | + | 0.271897i | −0.879038 | − | 0.476752i | \(-0.841814\pi\) |
−0.662966 | + | 0.748649i | \(0.730703\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −301.595 | + | 109.772i | −0.444176 | + | 0.161667i | ||||
\(680\) | 15.4476 | − | 18.4097i | 0.0227171 | − | 0.0270731i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −57.7726 | − | 21.0275i | −0.0847106 | − | 0.0308321i | ||||
\(683\) | −927.527 | + | 535.508i | −1.35802 | + | 0.784053i | −0.989357 | − | 0.145511i | \(-0.953518\pi\) |
−0.368663 | + | 0.929563i | \(0.620184\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −196.537 | + | 340.412i | −0.286916 | + | 0.496952i | ||||
\(686\) | 116.026 | + | 138.274i | 0.169134 | + | 0.201565i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −32.9922 | + | 187.108i | −0.0479538 | + | 0.271959i | ||||
\(689\) | 235.270 | + | 41.4844i | 0.341466 | + | 0.0602096i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 338.945 | − | 284.409i | 0.490514 | − | 0.411590i | −0.363696 | − | 0.931518i | \(-0.618485\pi\) |
0.854211 | + | 0.519927i | \(0.174041\pi\) | |||||||
\(692\) | 29.0207 | + | 16.7551i | 0.0419375 | + | 0.0242126i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −351.156 | − | 608.220i | −0.505988 | − | 0.876398i | ||||
\(695\) | −138.538 | + | 380.631i | −0.199336 | + | 0.547670i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −41.2837 | − | 34.6411i | −0.0592305 | − | 0.0497003i | ||||
\(698\) | 164.048 | + | 450.719i | 0.235026 | + | 0.645729i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 143.035 | + | 811.191i | 0.204335 | + | 1.15884i | ||||
\(701\) | 77.6184i | 0.110725i | 0.998466 | + | 0.0553626i | \(0.0176315\pi\) | ||||
−0.998466 | + | 0.0553626i | \(0.982369\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1406.48 | −2.00068 | ||||||||
\(704\) | 51.8385 | − | 9.14053i | 0.0736343 | − | 0.0129837i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 293.434 | − | 106.801i | 0.415629 | − | 0.151277i | ||||
\(707\) | −714.763 | + | 851.821i | −1.01098 | + | 1.20484i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −139.805 | − | 50.8850i | −0.197187 | − | 0.0717700i | 0.241539 | − | 0.970391i | \(-0.422348\pi\) |
−0.438726 | + | 0.898621i | \(0.644570\pi\) | |||||||
\(710\) | 776.313 | − | 448.204i | 1.09340 | − | 0.631274i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −33.1491 | + | 57.4159i | −0.0465577 | + | 0.0806404i | ||||
\(713\) | −91.0618 | − | 108.523i | −0.127716 | − | 0.152206i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 57.3881 | − | 325.464i | 0.0802631 | − | 0.455195i | ||||
\(716\) | 214.368 | + | 37.7989i | 0.299397 | + | 0.0527917i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −618.223 | + | 518.750i | −0.861034 | + | 0.722494i | ||||
\(719\) | 22.6129 | + | 13.0556i | 0.0314505 | + | 0.0181580i | 0.515643 | − | 0.856804i | \(-0.327553\pi\) |
−0.484192 | + | 0.874962i | \(0.660886\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 866.187 | + | 1500.28i | 1.20137 | + | 2.08083i | ||||
\(722\) | −41.1123 | + | 112.955i | −0.0569422 | + | 0.156447i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −56.9275 | − | 47.7679i | −0.0786292 | − | 0.0659777i | ||||
\(725\) | −744.350 | − | 2045.09i | −1.02669 | − | 2.82081i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −159.723 | − | 905.834i | −0.219701 | − | 1.24599i | −0.872559 | − | 0.488508i | \(-0.837541\pi\) |
0.652858 | − | 0.757480i | \(-0.273570\pi\) | |||||||
\(728\) | 155.793i | 0.214001i | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −627.056 | −0.858980 | ||||||||
\(731\) | −47.5330 | + | 8.38135i | −0.0650246 | + | 0.0114656i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 332.814 | − | 121.134i | 0.454044 | − | 0.165258i | −0.104867 | − | 0.994486i | \(-0.533442\pi\) |
0.558911 | + | 0.829228i | \(0.311219\pi\) | |||||||
\(734\) | −192.215 | + | 229.073i | −0.261874 | + | 0.312089i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 113.978 | + | 41.4844i | 0.154861 | + | 0.0563647i | ||||
\(737\) | −84.5624 | + | 48.8222i | −0.114739 | + | 0.0662444i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 410.346 | − | 710.740i | 0.555272 | − | 0.961760i | −0.442610 | − | 0.896714i | \(-0.645947\pi\) |
0.997882 | − | 0.0650455i | \(-0.0207192\pi\) | |||||||
\(740\) | 715.896 | + | 853.171i | 0.967427 | + | 1.15293i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 89.5558 | − | 507.896i | 0.120695 | − | 0.684496i | ||||
\(743\) | 132.906 | + | 23.4348i | 0.178877 | + | 0.0315408i | 0.262369 | − | 0.964968i | \(-0.415496\pi\) |
−0.0834921 | + | 0.996508i | \(0.526607\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −537.529 | + | 451.040i | −0.721515 | + | 0.605423i | ||||
\(746\) | −85.0755 | − | 49.1184i | −0.114042 | − | 0.0658423i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 6.68612 | + | 11.5807i | 0.00893866 | + | 0.0154822i | ||||
\(749\) | −239.843 | + | 658.963i | −0.320218 | + | 0.879791i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 938.326 | + | 787.349i | 1.24944 | + | 1.04840i | 0.996726 | + | 0.0808587i | \(0.0257663\pi\) |
0.252710 | + | 0.967542i | \(0.418678\pi\) | |||||||
\(752\) | −8.92686 | − | 24.5264i | −0.0118708 | − | 0.0326148i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −71.4779 | − | 405.371i | −0.0947982 | − | 0.537627i | ||||
\(755\) | 1079.31i | 1.42955i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 915.003 | 1.20872 | 0.604361 | − | 0.796710i | \(-0.293428\pi\) | ||||
0.604361 | + | 0.796710i | \(0.293428\pi\) | |||||||
\(758\) | 543.458 | − | 95.8264i | 0.716964 | − | 0.126420i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 469.335 | − | 170.824i | 0.617546 | − | 0.224768i | ||||
\(761\) | 482.010 | − | 574.437i | 0.633391 | − | 0.754846i | −0.349920 | − | 0.936780i | \(-0.613791\pi\) |
0.983311 | + | 0.181934i | \(0.0582357\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −377.240 | − | 137.304i | −0.494416 | − | 0.179953i | ||||
\(764\) | −371.925 | + | 214.731i | −0.486813 | + | 0.281062i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 128.227 | − | 222.095i | 0.167398 | − | 0.289942i | ||||
\(767\) | −108.268 | − | 129.029i | −0.141158 | − | 0.168226i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −159.677 | + | 905.573i | −0.207642 | + | 1.17760i | 0.685585 | + | 0.727993i | \(0.259547\pi\) |
−0.893227 | + | 0.449606i | \(0.851565\pi\) | |||||||
\(770\) | −702.605 | − | 123.888i | −0.912474 | − | 0.160894i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −434.837 | + | 364.872i | −0.563260 | + | 0.472632i | ||||
\(773\) | 240.810 | + | 139.032i | 0.311526 | + | 0.179860i | 0.647609 | − | 0.761973i | \(-0.275769\pi\) |
−0.336083 | + | 0.941832i | \(0.609102\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 148.379 | + | 257.001i | 0.191457 | + | 0.331614i | ||||
\(776\) | 33.8601 | − | 93.0298i | 0.0436341 | − | 0.119884i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 729.018 | + | 611.718i | 0.937041 | + | 0.786270i | ||||
\(779\) | −383.071 | − | 1052.48i | −0.491747 | − | 1.35106i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 86.6137 | + | 491.211i | 0.110901 | + | 0.628951i | ||||
\(782\) | 30.8132i | 0.0394030i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 140.322 | 0.178982 | ||||||||
\(785\) | 1709.73 | − | 301.472i | 2.17801 | − | 0.384041i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −770.156 | + | 280.314i | −0.978597 | + | 0.356180i | −0.781295 | − | 0.624162i | \(-0.785440\pi\) |
−0.197303 | + | 0.980343i | \(0.563218\pi\) | |||||||
\(788\) | 228.907 | − | 272.801i | 0.290492 | − | 0.346194i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −909.620 | − | 331.075i | −1.15142 | − | 0.419082i | ||||
\(791\) | −1.64872 | + | 0.951889i | −0.00208435 | + | 0.00120340i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 123.415 | − | 213.760i | 0.155630 | − | 0.269559i | ||||
\(794\) | 412.380 | + | 491.456i | 0.519370 | + | 0.618962i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −50.5966 | + | 286.948i | −0.0635636 | + | 0.360487i | ||||
\(797\) | 1111.67 | + | 196.018i | 1.39482 | + | 0.245944i | 0.820013 | − | 0.572344i | \(-0.193966\pi\) |
0.574807 | + | 0.818289i | \(0.305077\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.07930 | − | 4.26204i | 0.00635707 | − | 0.00533422i | ||||
\(800\) | −220.039 | − | 127.039i | −0.275049 | − | 0.158799i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 222.016 | + | 384.544i | 0.276828 | + | 0.479481i | ||||
\(803\) | 119.335 | − | 327.870i | 0.148612 | − | 0.408307i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1259.35 | − | 1056.72i | −1.56441 | − | 1.31269i | ||||
\(806\) | 19.1969 | + | 52.7430i | 0.0238175 | + | 0.0654380i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −59.5610 | − | 337.787i | −0.0737141 | − | 0.418053i | ||||
\(809\) | 1010.80i | 1.24945i | 0.780846 | + | 0.624724i | \(0.214788\pi\) | ||||
−0.780846 | + | 0.624724i | \(0.785212\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 481.599 | 0.593834 | 0.296917 | − | 0.954903i | \(-0.404042\pi\) | ||||
0.296917 | + | 0.954903i | \(0.404042\pi\) | |||||||
\(812\) | −875.107 | + | 154.305i | −1.07772 | + | 0.190031i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −582.343 | + | 211.955i | −0.715409 | + | 0.260387i | ||||
\(815\) | −919.249 | + | 1095.52i | −1.12791 | + | 1.34419i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −942.612 | − | 343.083i | −1.15375 | − | 0.419930i | ||||
\(818\) | −2.08435 | + | 1.20340i | −0.00254810 | + | 0.00147115i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −443.453 | + | 768.083i | −0.540796 | + | 0.936686i | ||||
\(821\) | −685.546 | − | 817.002i | −0.835013 | − | 0.995130i | −0.999961 | − | 0.00882774i | \(-0.997190\pi\) |
0.164948 | − | 0.986302i | \(-0.447254\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14.1302 | + | 80.1366i | −0.0171692 | + | 0.0973713i | −0.992188 | − | 0.124750i | \(-0.960187\pi\) |
0.975019 | + | 0.222121i | \(0.0712982\pi\) | |||||||
\(824\) | −526.248 | − | 92.7917i | −0.638650 | − | 0.112611i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −278.545 | + | 233.727i | −0.337222 | + | 0.282963i | ||||
\(827\) | −93.3706 | − | 53.9076i | −0.112903 | − | 0.0651845i | 0.442485 | − | 0.896776i | \(-0.354097\pi\) |
−0.555388 | + | 0.831591i | \(0.687430\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −657.741 | − | 1139.24i | −0.793415 | − | 1.37424i | −0.923841 | − | 0.382778i | \(-0.874968\pi\) |
0.130425 | − | 0.991458i | \(-0.458366\pi\) | |||||||
\(830\) | −189.785 | + | 521.429i | −0.228656 | + | 0.628228i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −36.8128 | − | 30.8896i | −0.0442461 | − | 0.0371269i | ||||
\(833\) | 12.1921 | + | 33.4976i | 0.0146364 | + | 0.0402133i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −228.984 | − | 1298.63i | −0.274232 | − | 1.55525i | ||||
\(836\) | 277.912i | 0.332431i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 141.515 | 0.168873 | ||||||||
\(839\) | 1292.61 | − | 227.922i | 1.54065 | − | 0.271659i | 0.662141 | − | 0.749380i | \(-0.269648\pi\) |
0.878512 | + | 0.477721i | \(0.158537\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1415.94 | − | 515.361i | 1.68364 | − | 0.612796i | ||||
\(842\) | 577.448 | − | 688.176i | 0.685806 | − | 0.817311i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −558.675 | − | 203.341i | −0.661937 | − | 0.240926i | ||||
\(845\) | 962.488 | − | 555.693i | 1.13904 | − | 0.657625i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −356.267 | + | 617.072i | −0.420622 | + | 0.728538i | ||||
\(848\) | 102.256 | + | 121.864i | 0.120585 | + | 0.143707i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 11.2084 | − | 63.5657i | 0.0131863 | − | 0.0747832i | ||||
\(851\) | −1406.30 | − | 247.968i | −1.65252 | − | 0.291384i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 846.044 | − | 709.915i | 0.991845 | − | 0.832257i | 0.00601108 | − | 0.999982i | \(-0.498087\pi\) |
0.985834 | + | 0.167725i | \(0.0536422\pi\) | |||||||
\(854\) | −461.461 | − | 266.425i | −0.540353 | − | 0.311973i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −108.154 | − | 187.328i | −0.126348 | − | 0.218841i | ||||
\(857\) | 547.088 | − | 1503.11i | 0.638376 | − | 1.75392i | −0.0183917 | − | 0.999831i | \(-0.505855\pi\) |
0.656768 | − | 0.754093i | \(-0.271923\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 852.719 | + | 715.516i | 0.992688 | + | 0.832964i | 0.985955 | − | 0.167014i | \(-0.0534124\pi\) |
0.00673292 | + | 0.999977i | \(0.497857\pi\) | |||||||
\(860\) | 271.674 | + | 746.419i | 0.315900 | + | 0.867929i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −44.2631 | − | 251.028i | −0.0513493 | − | 0.291216i | ||||
\(863\) | 172.993i | 0.200455i | 0.994965 | + | 0.100227i | \(0.0319570\pi\) | ||||
−0.994965 | + | 0.100227i | \(0.968043\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 140.099 | 0.161964 | ||||||||
\(866\) | 225.611 | − | 39.7813i | 0.260520 | − | 0.0459368i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 113.861 | − | 41.4419i | 0.131176 | − | 0.0477441i | ||||
\(869\) | 346.220 | − | 412.609i | 0.398412 | − | 0.474809i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 83.7675 | + | 30.4889i | 0.0961740 | + | 0.0350045i | ||||
\(872\) | 107.241 | − | 61.9154i | 0.122982 | − | 0.0710039i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −320.191 | + | 554.588i | −0.366352 | + | 0.634540i | ||||
\(875\) | 981.492 | + | 1169.70i | 1.12171 | + | 1.33680i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 185.834 | − | 1053.92i | 0.211897 | − | 1.20173i | −0.674313 | − | 0.738445i | \(-0.735560\pi\) |
0.886210 | − | 0.463283i | \(-0.153329\pi\) | |||||||
\(878\) | 448.100 | + | 79.0122i | 0.510365 | + | 0.0899911i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 168.582 | − | 141.457i | 0.191570 | − | 0.160747i | ||||
\(881\) | −347.336 | − | 200.535i | −0.394253 | − | 0.227622i | 0.289749 | − | 0.957103i | \(-0.406428\pi\) |
−0.684001 | + | 0.729481i | \(0.739762\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −165.563 | − | 286.763i | −0.187500 | − | 0.324760i | 0.756916 | − | 0.653512i | \(-0.226705\pi\) |
−0.944416 | + | 0.328752i | \(0.893372\pi\) | |||||||
\(884\) | 4.17541 | − | 11.4718i | 0.00472331 | − | 0.0129772i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −547.821 | − | 459.677i | −0.618309 | − | 0.518823i | ||||
\(887\) | −81.1984 | − | 223.091i | −0.0915427 | − | 0.251511i | 0.885469 | − | 0.464699i | \(-0.153838\pi\) |
−0.977011 | + | 0.213188i | \(0.931615\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −246.945 | − | 1400.50i | −0.277779 | − | 1.57536i | ||||
\(890\) | 277.177i | 0.311435i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 422.582 | 0.473747 | ||||||||
\(893\) | 135.708 | − | 23.9289i | 0.151968 | − | 0.0267961i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 855.166 | − | 311.255i | 0.955493 | − | 0.347771i | ||||
\(896\) | −66.6838 | + | 79.4706i | −0.0744238 | + | 0.0886949i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 953.690 | + | 347.115i | 1.06202 | + | 0.386542i | ||||
\(899\) | −277.251 | + | 160.071i | −0.308399 | + | 0.178054i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −20.2066 | + | 34.9989i | −0.0224269 | + | 0.0388445i | ||||
\(902\) | −317.216 | − | 378.043i | −0.351681 | − | 0.419117i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.101973 | − | 0.578316i | 0.000112802 | − | 0.000639730i | ||||
\(905\) | −305.968 | − | 53.9504i | −0.338086 | − | 0.0596137i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −810.703 | + | 680.261i | −0.893829 | + | 0.750012i | −0.968975 | − | 0.247161i | \(-0.920502\pi\) |
0.0751451 | + | 0.997173i | \(0.476058\pi\) | |||||||
\(908\) | −27.8701 | − | 16.0908i | −0.0306940 | − | 0.0177212i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 325.666 | + | 564.071i | 0.357875 | + | 0.619858i | ||||
\(911\) | 616.706 | − | 1694.38i | 0.676955 | − | 1.85992i | 0.203573 | − | 0.979060i | \(-0.434745\pi\) |
0.473381 | − | 0.880858i | \(-0.343033\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −236.523 | − | 198.467i | −0.259062 | − | 0.217378i | ||||
\(914\) | 201.923 | + | 554.780i | 0.220923 | + | 0.606980i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −90.7709 | − | 514.787i | −0.0990948 | − | 0.561995i | ||||
\(917\) | − | 1241.63i | − | 1.35401i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 185.717 | 0.202086 | 0.101043 | − | 0.994882i | \(-0.467782\pi\) | ||||
0.101043 | + | 0.994882i | \(0.467782\pi\) | |||||||
\(920\) | 499.391 | − | 88.0562i | 0.542817 | − | 0.0957132i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1089.65 | − | 396.601i | 1.18184 | − | 0.430153i | ||||
\(923\) | 292.703 | − | 348.830i | 0.317121 | − | 0.377930i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2810.90 | + | 1023.09i | 3.03882 | + | 1.10604i | ||||
\(926\) | −1043.15 | + | 602.260i | −1.12651 | + | 0.650389i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 137.049 | − | 237.376i | 0.147682 | − | 0.255794i | ||||
\(929\) | −173.693 | − | 206.999i | −0.186968 | − | 0.222819i | 0.664416 | − | 0.747363i | \(-0.268680\pi\) |
−0.851384 | + | 0.524544i | \(0.824236\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −128.648 | + | 729.597i | −0.138182 | + | 0.783671i | ||||
\(932\) | −633.656 | − | 111.731i | −0.679888 | − | 0.119883i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 696.778 | − | 584.667i | 0.746015 | − | 0.625981i | ||||
\(935\) | 48.4162 | + | 27.9531i | 0.0517820 | + | 0.0298964i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 96.9914 | + | 167.994i | 0.103513 | + | 0.179289i | 0.913130 | − | 0.407669i | \(-0.133658\pi\) |
−0.809617 | + | 0.586959i | \(0.800325\pi\) | |||||||
\(938\) | 65.8188 | − | 180.836i | 0.0701693 | − | 0.192789i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −83.5905 | − | 70.1408i | −0.0889261 | − | 0.0746178i | ||||
\(941\) | −18.6872 | − | 51.3425i | −0.0198588 | − | 0.0545617i | 0.929367 | − | 0.369157i | \(-0.120353\pi\) |
−0.949226 | + | 0.314595i | \(0.898131\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −197.465 | − | 1119.88i | −0.209401 | − | 1.18757i | ||||
\(944\) | − | 112.160i | − | 0.118814i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −441.985 | −0.467214 | ||||||||
\(947\) | −51.8920 | + | 9.14995i | −0.0547962 | + | 0.00966204i | −0.200979 | − | 0.979596i | \(-0.564412\pi\) |
0.146183 | + | 0.989258i | \(0.453301\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −299.327 | + | 108.946i | −0.315413 | + | 0.114801i | ||||
\(950\) | 862.268 | − | 1027.61i | 0.907651 | − | 1.08170i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −24.7652 | − | 9.01378i | −0.0260138 | − | 0.00946826i | ||||
\(953\) | 251.736 | − | 145.340i | 0.264151 | − | 0.152508i | −0.362076 | − | 0.932149i | \(-0.617932\pi\) |
0.626227 | + | 0.779641i | \(0.284599\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −897.741 | + | 1554.93i | −0.940042 | + | 1.62820i | ||||
\(956\) | −101.405 | − | 120.849i | −0.106072 | − | 0.126412i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 74.2395 | − | 421.033i | 0.0774943 | − | 0.439492i | ||||
\(959\) | 424.510 | + | 74.8526i | 0.442659 | + | 0.0780527i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −702.728 | + | 589.659i | −0.731247 | + | 0.613589i | ||||
\(962\) | 489.966 | + | 282.882i | 0.509321 | + | 0.294056i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 302.958 | + | 524.738i | 0.314272 | + | 0.544334i | ||||
\(965\) | −811.671 | + | 2230.05i | −0.841110 | + | 2.31093i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 339.635 | + | 284.987i | 0.351225 | + | 0.294713i | 0.801282 | − | 0.598287i | \(-0.204152\pi\) |
−0.450057 | + | 0.893000i | \(0.648596\pi\) | |||||||
\(968\) | −75.1716 | − | 206.532i | −0.0776567 | − | 0.213360i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −71.8725 | − | 407.609i | −0.0740953 | − | 0.420215i | ||||
\(971\) | − | 437.137i | − | 0.450193i | −0.974337 | − | 0.225096i | \(-0.927730\pi\) | ||
0.974337 | − | 0.225096i | \(-0.0722697\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 444.201 | 0.456527 | ||||||||
\(974\) | 813.981 | − | 143.527i | 0.835709 | − | 0.147358i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 154.450 | − | 56.2152i | 0.158248 | − | 0.0575975i | ||||
\(977\) | −25.0546 | + | 29.8589i | −0.0256444 | + | 0.0305618i | −0.778714 | − | 0.627379i | \(-0.784128\pi\) |
0.753070 | + | 0.657941i | \(0.228572\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −144.929 | − | 52.7497i | −0.148037 | − | 0.0538812i | ||||
\(980\) | 508.057 | − | 293.327i | 0.518425 | − | 0.299313i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 194.724 | − | 337.272i | 0.198293 | − | 0.343454i | ||||
\(983\) | 1141.74 | + | 1360.67i | 1.16148 | + | 1.38420i | 0.909101 | + | 0.416575i | \(0.136770\pi\) |
0.252382 | + | 0.967628i | \(0.418786\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 258.534 | − | 1466.22i | 0.262472 | − | 1.48855i | ||||
\(986\) | 68.5743 | + | 12.0915i | 0.0695479 | + | 0.0122632i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 194.359 | − | 163.086i | 0.196720 | − | 0.165067i | ||||
\(989\) | −882.004 | − | 509.225i | −0.891814 | − | 0.514889i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −694.188 | − | 1202.37i | −0.700492 | − | 1.21329i | −0.968294 | − | 0.249814i | \(-0.919631\pi\) |
0.267802 | − | 0.963474i | \(-0.413703\pi\) | |||||||
\(992\) | −12.7831 | + | 35.1213i | −0.0128862 | + | 0.0354045i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −753.047 | − | 631.881i | −0.757592 | − | 0.635695i | ||||
\(995\) | 416.638 | + | 1144.70i | 0.418732 | + | 1.15046i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −42.0253 | − | 238.337i | −0.0421517 | − | 0.239054i | 0.956451 | − | 0.291892i | \(-0.0942847\pi\) |
−0.998603 | + | 0.0528372i | \(0.983174\pi\) | |||||||
\(998\) | 241.147i | 0.241630i | ||||||||
\(999\) | 0 | 0 |
(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 | 162.3.f.a.71.6 | 36 | ||
3.2 | odd | 2 | 54.3.f.a.41.2 | yes | 36 | ||
12.11 | even | 2 | 432.3.bc.c.257.5 | 36 | |||
27.2 | odd | 18 | inner | 162.3.f.a.89.6 | 36 | ||
27.5 | odd | 18 | 1458.3.b.c.1457.35 | 36 | |||
27.22 | even | 9 | 1458.3.b.c.1457.2 | 36 | |||
27.25 | even | 9 | 54.3.f.a.29.2 | ✓ | 36 | ||
108.79 | odd | 18 | 432.3.bc.c.353.5 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.3.f.a.29.2 | ✓ | 36 | 27.25 | even | 9 | ||
54.3.f.a.41.2 | yes | 36 | 3.2 | odd | 2 | ||
162.3.f.a.71.6 | 36 | 1.1 | even | 1 | trivial | ||
162.3.f.a.89.6 | 36 | 27.2 | odd | 18 | inner | ||
432.3.bc.c.257.5 | 36 | 12.11 | even | 2 | |||
432.3.bc.c.353.5 | 36 | 108.79 | odd | 18 | |||
1458.3.b.c.1457.2 | 36 | 27.22 | even | 9 | |||
1458.3.b.c.1457.35 | 36 | 27.5 | odd | 18 |