Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,3,Mod(13,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.e (of order \(4\), 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: | \(4.63216449413\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 80 x^{14} + 2532 x^{12} + 40532 x^{10} + 346464 x^{8} + 1518752 x^{6} + 2895224 x^{4} + \cdots + 148996 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2\cdot 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 157.2 | ||
Root | \(3.64449i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 170.157 |
Dual form | 170.3.e.b.13.7 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | − | 1.00000i | 0.500000 | − | 0.500000i | ||||
\(3\) | − | 3.64449i | − | 1.21483i | −0.794385 | − | 0.607415i | \(-0.792207\pi\) | ||
0.794385 | − | 0.607415i | \(-0.207793\pi\) | |||||||
\(4\) | − | 2.00000i | − | 0.500000i | ||||||
\(5\) | 2.65202 | − | 4.23872i | 0.530404 | − | 0.847745i | ||||
\(6\) | −3.64449 | − | 3.64449i | −0.607415 | − | 0.607415i | ||||
\(7\) | 2.51762i | 0.359660i | 0.983698 | + | 0.179830i | \(0.0575548\pi\) | ||||
−0.983698 | + | 0.179830i | \(0.942445\pi\) | |||||||
\(8\) | −2.00000 | − | 2.00000i | −0.250000 | − | 0.250000i | ||||
\(9\) | −4.28231 | −0.475812 | ||||||||
\(10\) | −1.58670 | − | 6.89075i | −0.158670 | − | 0.689075i | ||||
\(11\) | 1.84002 | + | 1.84002i | 0.167274 | + | 0.167274i | 0.785780 | − | 0.618506i | \(-0.212262\pi\) |
−0.618506 | + | 0.785780i | \(0.712262\pi\) | |||||||
\(12\) | −7.28898 | −0.607415 | ||||||||
\(13\) | −1.57608 | + | 1.57608i | −0.121237 | + | 0.121237i | −0.765122 | − | 0.643885i | \(-0.777322\pi\) |
0.643885 | + | 0.765122i | \(0.277322\pi\) | |||||||
\(14\) | 2.51762 | + | 2.51762i | 0.179830 | + | 0.179830i | ||||
\(15\) | −15.4480 | − | 9.66527i | −1.02987 | − | 0.644351i | ||||
\(16\) | −4.00000 | −0.250000 | ||||||||
\(17\) | −10.1763 | + | 13.6177i | −0.598606 | + | 0.801044i | ||||
\(18\) | −4.28231 | + | 4.28231i | −0.237906 | + | 0.237906i | ||||
\(19\) | 10.4683 | 0.550965 | 0.275482 | − | 0.961306i | \(-0.411162\pi\) | ||||
0.275482 | + | 0.961306i | \(0.411162\pi\) | |||||||
\(20\) | −8.47745 | − | 5.30404i | −0.423872 | − | 0.265202i | ||||
\(21\) | 9.17545 | 0.436926 | ||||||||
\(22\) | 3.68003 | 0.167274 | ||||||||
\(23\) | −2.86447 | −0.124542 | −0.0622711 | − | 0.998059i | \(-0.519834\pi\) | ||||
−0.0622711 | + | 0.998059i | \(0.519834\pi\) | |||||||
\(24\) | −7.28898 | + | 7.28898i | −0.303707 | + | 0.303707i | ||||
\(25\) | −10.9336 | − | 22.4824i | −0.437342 | − | 0.899295i | ||||
\(26\) | 3.15217i | 0.121237i | ||||||||
\(27\) | − | 17.1936i | − | 0.636800i | ||||||
\(28\) | 5.03524 | 0.179830 | ||||||||
\(29\) | 16.7455 | + | 16.7455i | 0.577430 | + | 0.577430i | 0.934194 | − | 0.356765i | \(-0.116120\pi\) |
−0.356765 | + | 0.934194i | \(0.616120\pi\) | |||||||
\(30\) | −25.1133 | + | 5.78272i | −0.837108 | + | 0.192757i | ||||
\(31\) | 19.3791 | − | 19.3791i | 0.625132 | − | 0.625132i | −0.321707 | − | 0.946839i | \(-0.604257\pi\) |
0.946839 | + | 0.321707i | \(0.104257\pi\) | |||||||
\(32\) | −4.00000 | + | 4.00000i | −0.125000 | + | 0.125000i | ||||
\(33\) | 6.70592 | − | 6.70592i | 0.203210 | − | 0.203210i | ||||
\(34\) | 3.44145 | + | 23.7940i | 0.101219 | + | 0.699825i | ||||
\(35\) | 10.6715 | + | 6.67679i | 0.304900 | + | 0.190765i | ||||
\(36\) | 8.56461i | 0.237906i | ||||||||
\(37\) | 14.1464 | 0.382335 | 0.191167 | − | 0.981557i | \(-0.438773\pi\) | ||||
0.191167 | + | 0.981557i | \(0.438773\pi\) | |||||||
\(38\) | 10.4683 | − | 10.4683i | 0.275482 | − | 0.275482i | ||||
\(39\) | 5.74402 | + | 5.74402i | 0.147283 | + | 0.147283i | ||||
\(40\) | −13.7815 | + | 3.17340i | −0.344537 | + | 0.0793351i | ||||
\(41\) | 35.8985 | + | 35.8985i | 0.875573 | + | 0.875573i | 0.993073 | − | 0.117500i | \(-0.0374881\pi\) |
−0.117500 | + | 0.993073i | \(0.537488\pi\) | |||||||
\(42\) | 9.17545 | − | 9.17545i | 0.218463 | − | 0.218463i | ||||
\(43\) | 10.5842 | + | 10.5842i | 0.246145 | + | 0.246145i | 0.819387 | − | 0.573241i | \(-0.194314\pi\) |
−0.573241 | + | 0.819387i | \(0.694314\pi\) | |||||||
\(44\) | 3.68003 | − | 3.68003i | 0.0836371 | − | 0.0836371i | ||||
\(45\) | −11.3568 | + | 18.1515i | −0.252373 | + | 0.403367i | ||||
\(46\) | −2.86447 | + | 2.86447i | −0.0622711 | + | 0.0622711i | ||||
\(47\) | −60.3631 | − | 60.3631i | −1.28432 | − | 1.28432i | −0.938184 | − | 0.346138i | \(-0.887493\pi\) |
−0.346138 | − | 0.938184i | \(-0.612507\pi\) | |||||||
\(48\) | 14.5780i | 0.303707i | ||||||||
\(49\) | 42.6616 | 0.870645 | ||||||||
\(50\) | −33.4159 | − | 11.5488i | −0.668319 | − | 0.230976i | ||||
\(51\) | 49.6297 | + | 37.0874i | 0.973132 | + | 0.727204i | ||||
\(52\) | 3.15217 | + | 3.15217i | 0.0606186 | + | 0.0606186i | ||||
\(53\) | 47.7065 | + | 47.7065i | 0.900122 | + | 0.900122i | 0.995446 | − | 0.0953242i | \(-0.0303888\pi\) |
−0.0953242 | + | 0.995446i | \(0.530389\pi\) | |||||||
\(54\) | −17.1936 | − | 17.1936i | −0.318400 | − | 0.318400i | ||||
\(55\) | 12.6791 | − | 2.91956i | 0.230529 | − | 0.0530829i | ||||
\(56\) | 5.03524 | − | 5.03524i | 0.0899151 | − | 0.0899151i | ||||
\(57\) | − | 38.1517i | − | 0.669328i | ||||||
\(58\) | 33.4909 | 0.577430 | ||||||||
\(59\) | −24.3243 | −0.412276 | −0.206138 | − | 0.978523i | \(-0.566090\pi\) | ||||
−0.206138 | + | 0.978523i | \(0.566090\pi\) | |||||||
\(60\) | −19.3305 | + | 30.8960i | −0.322176 | + | 0.514933i | ||||
\(61\) | 39.3536 | + | 39.3536i | 0.645141 | + | 0.645141i | 0.951815 | − | 0.306673i | \(-0.0992159\pi\) |
−0.306673 | + | 0.951815i | \(0.599216\pi\) | |||||||
\(62\) | − | 38.7582i | − | 0.625132i | ||||||
\(63\) | − | 10.7812i | − | 0.171131i | ||||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | 2.50078 | + | 10.8604i | 0.0384735 | + | 0.167083i | ||||
\(66\) | − | 13.4118i | − | 0.203210i | ||||||
\(67\) | −64.8353 | − | 64.8353i | −0.967692 | − | 0.967692i | 0.0318024 | − | 0.999494i | \(-0.489875\pi\) |
−0.999494 | + | 0.0318024i | \(0.989875\pi\) | |||||||
\(68\) | 27.2355 | + | 20.3526i | 0.400522 | + | 0.299303i | ||||
\(69\) | 10.4395i | 0.151298i | ||||||||
\(70\) | 17.3483 | − | 3.99471i | 0.247833 | − | 0.0570673i | ||||
\(71\) | −10.0191 | + | 10.0191i | −0.141115 | + | 0.141115i | −0.774135 | − | 0.633020i | \(-0.781815\pi\) |
0.633020 | + | 0.774135i | \(0.281815\pi\) | |||||||
\(72\) | 8.56461 | + | 8.56461i | 0.118953 | + | 0.118953i | ||||
\(73\) | 54.0001i | 0.739728i | 0.929086 | + | 0.369864i | \(0.120596\pi\) | ||||
−0.929086 | + | 0.369864i | \(0.879404\pi\) | |||||||
\(74\) | 14.1464 | − | 14.1464i | 0.191167 | − | 0.191167i | ||||
\(75\) | −81.9368 | + | 39.8472i | −1.09249 | + | 0.531297i | ||||
\(76\) | − | 20.9367i | − | 0.275482i | ||||||
\(77\) | −4.63247 | + | 4.63247i | −0.0601619 | + | 0.0601619i | ||||
\(78\) | 11.4880 | 0.147283 | ||||||||
\(79\) | −47.7062 | + | 47.7062i | −0.603876 | + | 0.603876i | −0.941339 | − | 0.337463i | \(-0.890431\pi\) |
0.337463 | + | 0.941339i | \(0.390431\pi\) | |||||||
\(80\) | −10.6081 | + | 16.9549i | −0.132601 | + | 0.211936i | ||||
\(81\) | −101.203 | −1.24941 | ||||||||
\(82\) | 71.7969 | 0.875573 | ||||||||
\(83\) | 33.3253 | + | 33.3253i | 0.401509 | + | 0.401509i | 0.878765 | − | 0.477255i | \(-0.158368\pi\) |
−0.477255 | + | 0.878765i | \(0.658368\pi\) | |||||||
\(84\) | − | 18.3509i | − | 0.218463i | ||||||
\(85\) | 30.7341 | + | 79.2491i | 0.361578 | + | 0.932342i | ||||
\(86\) | 21.1685 | 0.246145 | ||||||||
\(87\) | 61.0287 | − | 61.0287i | 0.701479 | − | 0.701479i | ||||
\(88\) | − | 7.36007i | − | 0.0836371i | ||||||
\(89\) | − | 36.1413i | − | 0.406082i | −0.979170 | − | 0.203041i | \(-0.934917\pi\) | ||
0.979170 | − | 0.203041i | \(-0.0650825\pi\) | |||||||
\(90\) | 6.79474 | + | 29.5083i | 0.0754971 | + | 0.327870i | ||||
\(91\) | −3.96798 | − | 3.96798i | −0.0436042 | − | 0.0436042i | ||||
\(92\) | 5.72894i | 0.0622711i | ||||||||
\(93\) | −70.6269 | − | 70.6269i | −0.759429 | − | 0.759429i | ||||
\(94\) | −120.726 | −1.28432 | ||||||||
\(95\) | 27.7622 | − | 44.3724i | 0.292234 | − | 0.467077i | ||||
\(96\) | 14.5780 | + | 14.5780i | 0.151854 | + | 0.151854i | ||||
\(97\) | 143.564 | 1.48004 | 0.740021 | − | 0.672584i | \(-0.234816\pi\) | ||||
0.740021 | + | 0.672584i | \(0.234816\pi\) | |||||||
\(98\) | 42.6616 | − | 42.6616i | 0.435322 | − | 0.435322i | ||||
\(99\) | −7.87951 | − | 7.87951i | −0.0795911 | − | 0.0795911i | ||||
\(100\) | −44.9648 | + | 21.8671i | −0.449648 | + | 0.218671i | ||||
\(101\) | −36.3606 | −0.360006 | −0.180003 | − | 0.983666i | \(-0.557611\pi\) | ||||
−0.180003 | + | 0.983666i | \(0.557611\pi\) | |||||||
\(102\) | 86.7171 | − | 12.5423i | 0.850168 | − | 0.122964i | ||||
\(103\) | 55.7838 | − | 55.7838i | 0.541591 | − | 0.541591i | −0.382404 | − | 0.923995i | \(-0.624904\pi\) |
0.923995 | + | 0.382404i | \(0.124904\pi\) | |||||||
\(104\) | 6.30434 | 0.0606186 | ||||||||
\(105\) | 24.3335 | − | 38.8922i | 0.231747 | − | 0.370402i | ||||
\(106\) | 95.4129 | 0.900122 | ||||||||
\(107\) | −102.118 | −0.954370 | −0.477185 | − | 0.878803i | \(-0.658343\pi\) | ||||
−0.477185 | + | 0.878803i | \(0.658343\pi\) | |||||||
\(108\) | −34.3872 | −0.318400 | ||||||||
\(109\) | −135.242 | + | 135.242i | −1.24075 | + | 1.24075i | −0.281057 | + | 0.959691i | \(0.590685\pi\) |
−0.959691 | + | 0.281057i | \(0.909315\pi\) | |||||||
\(110\) | 9.75953 | − | 15.5986i | 0.0887230 | − | 0.141806i | ||||
\(111\) | − | 51.5563i | − | 0.464472i | ||||||
\(112\) | − | 10.0705i | − | 0.0899151i | ||||||
\(113\) | −171.052 | −1.51374 | −0.756869 | − | 0.653567i | \(-0.773272\pi\) | ||||
−0.756869 | + | 0.653567i | \(0.773272\pi\) | |||||||
\(114\) | −38.1517 | − | 38.1517i | −0.334664 | − | 0.334664i | ||||
\(115\) | −7.59663 | + | 12.1417i | −0.0660577 | + | 0.105580i | ||||
\(116\) | 33.4909 | − | 33.4909i | 0.288715 | − | 0.288715i | ||||
\(117\) | 6.74928 | − | 6.74928i | 0.0576861 | − | 0.0576861i | ||||
\(118\) | −24.3243 | + | 24.3243i | −0.206138 | + | 0.206138i | ||||
\(119\) | −34.2843 | − | 25.6201i | −0.288104 | − | 0.215295i | ||||
\(120\) | 11.5654 | + | 50.2265i | 0.0963786 | + | 0.418554i | ||||
\(121\) | − | 114.229i | − | 0.944039i | ||||||
\(122\) | 78.7073 | 0.645141 | ||||||||
\(123\) | 130.832 | − | 130.832i | 1.06367 | − | 1.06367i | ||||
\(124\) | −38.7582 | − | 38.7582i | −0.312566 | − | 0.312566i | ||||
\(125\) | −124.293 | − | 13.2794i | −0.994341 | − | 0.106235i | ||||
\(126\) | −10.7812 | − | 10.7812i | −0.0855653 | − | 0.0855653i | ||||
\(127\) | −35.7971 | + | 35.7971i | −0.281867 | + | 0.281867i | −0.833853 | − | 0.551986i | \(-0.813870\pi\) |
0.551986 | + | 0.833853i | \(0.313870\pi\) | |||||||
\(128\) | 8.00000 | + | 8.00000i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | 38.5742 | − | 38.5742i | 0.299025 | − | 0.299025i | ||||
\(130\) | 13.3612 | + | 8.35962i | 0.102778 | + | 0.0643048i | ||||
\(131\) | −42.2809 | + | 42.2809i | −0.322755 | + | 0.322755i | −0.849823 | − | 0.527068i | \(-0.823291\pi\) |
0.527068 | + | 0.849823i | \(0.323291\pi\) | |||||||
\(132\) | −13.4118 | − | 13.4118i | −0.101605 | − | 0.101605i | ||||
\(133\) | 26.3553i | 0.198160i | ||||||||
\(134\) | −129.671 | −0.967692 | ||||||||
\(135\) | −72.8789 | − | 45.5978i | −0.539843 | − | 0.337761i | ||||
\(136\) | 47.5881 | − | 6.88290i | 0.349912 | − | 0.0506095i | ||||
\(137\) | −126.790 | − | 126.790i | −0.925473 | − | 0.925473i | 0.0719358 | − | 0.997409i | \(-0.477082\pi\) |
−0.997409 | + | 0.0719358i | \(0.977082\pi\) | |||||||
\(138\) | 10.4395 | + | 10.4395i | 0.0756488 | + | 0.0756488i | ||||
\(139\) | 23.0228 | + | 23.0228i | 0.165632 | + | 0.165632i | 0.785056 | − | 0.619424i | \(-0.212634\pi\) |
−0.619424 | + | 0.785056i | \(0.712634\pi\) | |||||||
\(140\) | 13.3536 | − | 21.3430i | 0.0953827 | − | 0.152450i | ||||
\(141\) | −219.993 | + | 219.993i | −1.56023 | + | 1.56023i | ||||
\(142\) | 20.0383i | 0.141115i | ||||||||
\(143\) | −5.80004 | −0.0405597 | ||||||||
\(144\) | 17.1292 | 0.118953 | ||||||||
\(145\) | 115.389 | − | 26.5701i | 0.795784 | − | 0.183242i | ||||
\(146\) | 54.0001 | + | 54.0001i | 0.369864 | + | 0.369864i | ||||
\(147\) | − | 155.480i | − | 1.05769i | ||||||
\(148\) | − | 28.2928i | − | 0.191167i | ||||||
\(149\) | 107.972i | 0.724647i | 0.932052 | + | 0.362323i | \(0.118016\pi\) | ||||
−0.932052 | + | 0.362323i | \(0.881984\pi\) | |||||||
\(150\) | −42.0896 | + | 121.784i | −0.280597 | + | 0.811894i | ||||
\(151\) | 75.4687i | 0.499793i | 0.968273 | + | 0.249896i | \(0.0803966\pi\) | ||||
−0.968273 | + | 0.249896i | \(0.919603\pi\) | |||||||
\(152\) | −20.9367 | − | 20.9367i | −0.137741 | − | 0.137741i | ||||
\(153\) | 43.5780 | − | 58.3154i | 0.284824 | − | 0.381146i | ||||
\(154\) | 9.26493i | 0.0601619i | ||||||||
\(155\) | −30.7488 | − | 133.536i | −0.198380 | − | 0.861525i | ||||
\(156\) | 11.4880 | − | 11.4880i | 0.0736413 | − | 0.0736413i | ||||
\(157\) | 150.157 | + | 150.157i | 0.956416 | + | 0.956416i | 0.999089 | − | 0.0426732i | \(-0.0135874\pi\) |
−0.0426732 | + | 0.999089i | \(0.513587\pi\) | |||||||
\(158\) | 95.4124i | 0.603876i | ||||||||
\(159\) | 173.866 | − | 173.866i | 1.09350 | − | 1.09350i | ||||
\(160\) | 6.34681 | + | 27.5630i | 0.0396675 | + | 0.172269i | ||||
\(161\) | − | 7.21165i | − | 0.0447928i | ||||||
\(162\) | −101.203 | + | 101.203i | −0.624707 | + | 0.624707i | ||||
\(163\) | 182.657 | 1.12060 | 0.560299 | − | 0.828291i | \(-0.310686\pi\) | ||||
0.560299 | + | 0.828291i | \(0.310686\pi\) | |||||||
\(164\) | 71.7969 | − | 71.7969i | 0.437786 | − | 0.437786i | ||||
\(165\) | −10.6403 | − | 46.2088i | −0.0644866 | − | 0.280053i | ||||
\(166\) | 66.6506 | 0.401509 | ||||||||
\(167\) | −195.792 | −1.17241 | −0.586204 | − | 0.810164i | \(-0.699378\pi\) | ||||
−0.586204 | + | 0.810164i | \(0.699378\pi\) | |||||||
\(168\) | −18.3509 | − | 18.3509i | −0.109231 | − | 0.109231i | ||||
\(169\) | 164.032i | 0.970603i | ||||||||
\(170\) | 109.983 | + | 48.5150i | 0.646960 | + | 0.285382i | ||||
\(171\) | −44.8286 | −0.262155 | ||||||||
\(172\) | 21.1685 | − | 21.1685i | 0.123073 | − | 0.123073i | ||||
\(173\) | − | 76.6493i | − | 0.443060i | −0.975154 | − | 0.221530i | \(-0.928895\pi\) | ||
0.975154 | − | 0.221530i | \(-0.0711050\pi\) | |||||||
\(174\) | − | 122.057i | − | 0.701479i | ||||||
\(175\) | 56.6021 | − | 27.5266i | 0.323441 | − | 0.157295i | ||||
\(176\) | −7.36007 | − | 7.36007i | −0.0418186 | − | 0.0418186i | ||||
\(177\) | 88.6496i | 0.500845i | ||||||||
\(178\) | −36.1413 | − | 36.1413i | −0.203041 | − | 0.203041i | ||||
\(179\) | −20.8905 | −0.116706 | −0.0583532 | − | 0.998296i | \(-0.518585\pi\) | ||||
−0.0583532 | + | 0.998296i | \(0.518585\pi\) | |||||||
\(180\) | 36.3030 | + | 22.7135i | 0.201683 | + | 0.126186i | ||||
\(181\) | −25.6431 | − | 25.6431i | −0.141674 | − | 0.141674i | 0.632712 | − | 0.774387i | \(-0.281942\pi\) |
−0.774387 | + | 0.632712i | \(0.781942\pi\) | |||||||
\(182\) | −7.93597 | −0.0436042 | ||||||||
\(183\) | 143.424 | − | 143.424i | 0.783737 | − | 0.783737i | ||||
\(184\) | 5.72894 | + | 5.72894i | 0.0311355 | + | 0.0311355i | ||||
\(185\) | 37.5165 | − | 59.9626i | 0.202792 | − | 0.324122i | ||||
\(186\) | −141.254 | −0.759429 | ||||||||
\(187\) | −43.7814 | + | 6.33232i | −0.234125 | + | 0.0338627i | ||||
\(188\) | −120.726 | + | 120.726i | −0.642161 | + | 0.642161i | ||||
\(189\) | 43.2869 | 0.229031 | ||||||||
\(190\) | −16.6101 | − | 72.1346i | −0.0874217 | − | 0.379656i | ||||
\(191\) | 343.538 | 1.79863 | 0.899315 | − | 0.437302i | \(-0.144066\pi\) | ||||
0.899315 | + | 0.437302i | \(0.144066\pi\) | |||||||
\(192\) | 29.1559 | 0.151854 | ||||||||
\(193\) | −200.723 | −1.04002 | −0.520009 | − | 0.854161i | \(-0.674071\pi\) | ||||
−0.520009 | + | 0.854161i | \(0.674071\pi\) | |||||||
\(194\) | 143.564 | − | 143.564i | 0.740021 | − | 0.740021i | ||||
\(195\) | 39.5806 | − | 9.11405i | 0.202977 | − | 0.0467387i | ||||
\(196\) | − | 85.3232i | − | 0.435322i | ||||||
\(197\) | 367.945i | 1.86774i | 0.357611 | + | 0.933871i | \(0.383591\pi\) | ||||
−0.357611 | + | 0.933871i | \(0.616409\pi\) | |||||||
\(198\) | −15.7590 | −0.0795911 | ||||||||
\(199\) | 264.121 | + | 264.121i | 1.32724 | + | 1.32724i | 0.907765 | + | 0.419478i | \(0.137787\pi\) |
0.419478 | + | 0.907765i | \(0.362213\pi\) | |||||||
\(200\) | −23.0976 | + | 66.8319i | −0.115488 | + | 0.334159i | ||||
\(201\) | −236.292 | + | 236.292i | −1.17558 | + | 1.17558i | ||||
\(202\) | −36.3606 | + | 36.3606i | −0.180003 | + | 0.180003i | ||||
\(203\) | −42.1587 | + | 42.1587i | −0.207679 | + | 0.207679i | ||||
\(204\) | 74.1748 | − | 99.2595i | 0.363602 | − | 0.486566i | ||||
\(205\) | 247.367 | − | 56.9602i | 1.20667 | − | 0.277854i | ||||
\(206\) | − | 111.568i | − | 0.541591i | ||||||
\(207\) | 12.2665 | 0.0592586 | ||||||||
\(208\) | 6.30434 | − | 6.30434i | 0.0303093 | − | 0.0303093i | ||||
\(209\) | 19.2619 | + | 19.2619i | 0.0921622 | + | 0.0921622i | ||||
\(210\) | −14.5587 | − | 63.2257i | −0.0693271 | − | 0.301075i | ||||
\(211\) | 71.8600 | + | 71.8600i | 0.340569 | + | 0.340569i | 0.856581 | − | 0.516013i | \(-0.172584\pi\) |
−0.516013 | + | 0.856581i | \(0.672584\pi\) | |||||||
\(212\) | 95.4129 | − | 95.4129i | 0.450061 | − | 0.450061i | ||||
\(213\) | 36.5147 | + | 36.5147i | 0.171430 | + | 0.171430i | ||||
\(214\) | −102.118 | + | 102.118i | −0.477185 | + | 0.477185i | ||||
\(215\) | 72.9334 | − | 16.7940i | 0.339225 | − | 0.0781118i | ||||
\(216\) | −34.3872 | + | 34.3872i | −0.159200 | + | 0.159200i | ||||
\(217\) | 48.7892 | + | 48.7892i | 0.224835 | + | 0.224835i | ||||
\(218\) | 270.483i | 1.24075i | ||||||||
\(219\) | 196.803 | 0.898643 | ||||||||
\(220\) | −5.83911 | − | 25.3582i | −0.0265414 | − | 0.115264i | ||||
\(221\) | −5.42401 | − | 37.5014i | −0.0245431 | − | 0.169690i | ||||
\(222\) | −51.5563 | − | 51.5563i | −0.232236 | − | 0.232236i | ||||
\(223\) | 18.1765 | + | 18.1765i | 0.0815089 | + | 0.0815089i | 0.746686 | − | 0.665177i | \(-0.231644\pi\) |
−0.665177 | + | 0.746686i | \(0.731644\pi\) | |||||||
\(224\) | −10.0705 | − | 10.0705i | −0.0449575 | − | 0.0449575i | ||||
\(225\) | 46.8208 | + | 96.2764i | 0.208093 | + | 0.427895i | ||||
\(226\) | −171.052 | + | 171.052i | −0.756869 | + | 0.756869i | ||||
\(227\) | 239.348i | 1.05439i | 0.849743 | + | 0.527197i | \(0.176757\pi\) | ||||
−0.849743 | + | 0.527197i | \(0.823243\pi\) | |||||||
\(228\) | −76.3034 | −0.334664 | ||||||||
\(229\) | 167.835 | 0.732904 | 0.366452 | − | 0.930437i | \(-0.380572\pi\) | ||||
0.366452 | + | 0.930437i | \(0.380572\pi\) | |||||||
\(230\) | 4.54506 | + | 19.7383i | 0.0197611 | + | 0.0858188i | ||||
\(231\) | 16.8830 | + | 16.8830i | 0.0730865 | + | 0.0730865i | ||||
\(232\) | − | 66.9819i | − | 0.288715i | ||||||
\(233\) | − | 92.4647i | − | 0.396844i | −0.980117 | − | 0.198422i | \(-0.936418\pi\) | ||
0.980117 | − | 0.198422i | \(-0.0635817\pi\) | |||||||
\(234\) | − | 13.4986i | − | 0.0576861i | ||||||
\(235\) | −415.947 | + | 95.7782i | −1.76999 | + | 0.407567i | ||||
\(236\) | 48.6486i | 0.206138i | ||||||||
\(237\) | 173.865 | + | 173.865i | 0.733607 | + | 0.733607i | ||||
\(238\) | −59.9044 | + | 8.66427i | −0.251699 | + | 0.0364045i | ||||
\(239\) | − | 1.73597i | − | 0.00726346i | −0.999993 | − | 0.00363173i | \(-0.998844\pi\) | ||
0.999993 | − | 0.00363173i | \(-0.00115602\pi\) | |||||||
\(240\) | 61.7919 | + | 38.6611i | 0.257466 | + | 0.161088i | ||||
\(241\) | −27.9790 | + | 27.9790i | −0.116096 | + | 0.116096i | −0.762768 | − | 0.646672i | \(-0.776160\pi\) |
0.646672 | + | 0.762768i | \(0.276160\pi\) | |||||||
\(242\) | −114.229 | − | 114.229i | −0.472019 | − | 0.472019i | ||||
\(243\) | 214.090i | 0.881027i | ||||||||
\(244\) | 78.7073 | − | 78.7073i | 0.322571 | − | 0.322571i | ||||
\(245\) | 113.139 | − | 180.831i | 0.461794 | − | 0.738084i | ||||
\(246\) | − | 261.663i | − | 1.06367i | ||||||
\(247\) | −16.4990 | + | 16.4990i | −0.0667974 | + | 0.0667974i | ||||
\(248\) | −77.5163 | −0.312566 | ||||||||
\(249\) | 121.454 | − | 121.454i | 0.487766 | − | 0.487766i | ||||
\(250\) | −137.572 | + | 111.013i | −0.550288 | + | 0.444053i | ||||
\(251\) | −237.556 | −0.946439 | −0.473219 | − | 0.880945i | \(-0.656908\pi\) | ||||
−0.473219 | + | 0.880945i | \(0.656908\pi\) | |||||||
\(252\) | −21.5625 | −0.0855653 | ||||||||
\(253\) | −5.27067 | − | 5.27067i | −0.0208327 | − | 0.0208327i | ||||
\(254\) | 71.5943i | 0.281867i | ||||||||
\(255\) | 288.822 | − | 112.010i | 1.13264 | − | 0.439255i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | −93.1226 | + | 93.1226i | −0.362345 | + | 0.362345i | −0.864676 | − | 0.502331i | \(-0.832476\pi\) |
0.502331 | + | 0.864676i | \(0.332476\pi\) | |||||||
\(258\) | − | 77.1484i | − | 0.299025i | ||||||
\(259\) | 35.6152i | 0.137511i | ||||||||
\(260\) | 21.7208 | − | 5.00155i | 0.0835415 | − | 0.0192367i | ||||
\(261\) | −71.7092 | − | 71.7092i | −0.274748 | − | 0.274748i | ||||
\(262\) | 84.5618i | 0.322755i | ||||||||
\(263\) | −320.642 | − | 320.642i | −1.21917 | − | 1.21917i | −0.967922 | − | 0.251249i | \(-0.919159\pi\) |
−0.251249 | − | 0.967922i | \(-0.580841\pi\) | |||||||
\(264\) | −26.8237 | −0.101605 | ||||||||
\(265\) | 328.733 | − | 75.6959i | 1.24050 | − | 0.285645i | ||||
\(266\) | 26.3553 | + | 26.3553i | 0.0990800 | + | 0.0990800i | ||||
\(267\) | −131.717 | −0.493321 | ||||||||
\(268\) | −129.671 | + | 129.671i | −0.483846 | + | 0.483846i | ||||
\(269\) | −194.466 | − | 194.466i | −0.722921 | − | 0.722921i | 0.246279 | − | 0.969199i | \(-0.420792\pi\) |
−0.969199 | + | 0.246279i | \(0.920792\pi\) | |||||||
\(270\) | −118.477 | + | 27.2811i | −0.438802 | + | 0.101041i | ||||
\(271\) | 140.688 | 0.519143 | 0.259571 | − | 0.965724i | \(-0.416419\pi\) | ||||
0.259571 | + | 0.965724i | \(0.416419\pi\) | |||||||
\(272\) | 40.7052 | − | 54.4710i | 0.149651 | − | 0.200261i | ||||
\(273\) | −14.4613 | + | 14.4613i | −0.0529717 | + | 0.0529717i | ||||
\(274\) | −253.580 | −0.925473 | ||||||||
\(275\) | 21.2500 | − | 61.4859i | 0.0772728 | − | 0.223585i | ||||
\(276\) | 20.8791 | 0.0756488 | ||||||||
\(277\) | 191.172 | 0.690153 | 0.345076 | − | 0.938575i | \(-0.387853\pi\) | ||||
0.345076 | + | 0.938575i | \(0.387853\pi\) | |||||||
\(278\) | 46.0457 | 0.165632 | ||||||||
\(279\) | −82.9872 | + | 82.9872i | −0.297445 | + | 0.297445i | ||||
\(280\) | −7.98943 | − | 34.6966i | −0.0285337 | − | 0.123916i | ||||
\(281\) | − | 541.518i | − | 1.92711i | −0.267508 | − | 0.963556i | \(-0.586200\pi\) | ||
0.267508 | − | 0.963556i | \(-0.413800\pi\) | |||||||
\(282\) | 439.985i | 1.56023i | ||||||||
\(283\) | −493.314 | −1.74316 | −0.871579 | − | 0.490256i | \(-0.836903\pi\) | ||||
−0.871579 | + | 0.490256i | \(0.836903\pi\) | |||||||
\(284\) | 20.0383 | + | 20.0383i | 0.0705574 | + | 0.0705574i | ||||
\(285\) | −161.715 | − | 101.179i | −0.567420 | − | 0.355015i | ||||
\(286\) | −5.80004 | + | 5.80004i | −0.0202799 | + | 0.0202799i | ||||
\(287\) | −90.3788 | + | 90.3788i | −0.314909 | + | 0.314909i | ||||
\(288\) | 17.1292 | − | 17.1292i | 0.0594765 | − | 0.0594765i | ||||
\(289\) | −81.8860 | − | 277.156i | −0.283342 | − | 0.959019i | ||||
\(290\) | 88.8187 | − | 141.959i | 0.306271 | − | 0.489513i | ||||
\(291\) | − | 523.218i | − | 1.79800i | ||||||
\(292\) | 108.000 | 0.369864 | ||||||||
\(293\) | 64.7582 | − | 64.7582i | 0.221018 | − | 0.221018i | −0.587909 | − | 0.808927i | \(-0.700049\pi\) |
0.808927 | + | 0.587909i | \(0.200049\pi\) | |||||||
\(294\) | −155.480 | − | 155.480i | −0.528843 | − | 0.528843i | ||||
\(295\) | −64.5085 | + | 103.104i | −0.218673 | + | 0.349505i | ||||
\(296\) | −28.2928 | − | 28.2928i | −0.0955836 | − | 0.0955836i | ||||
\(297\) | 31.6365 | − | 31.6365i | 0.106520 | − | 0.106520i | ||||
\(298\) | 107.972 | + | 107.972i | 0.362323 | + | 0.362323i | ||||
\(299\) | 4.51465 | − | 4.51465i | 0.0150991 | − | 0.0150991i | ||||
\(300\) | 79.6945 | + | 163.874i | 0.265648 | + | 0.546245i | ||||
\(301\) | −26.6471 | + | 26.6471i | −0.0885287 | + | 0.0885287i | ||||
\(302\) | 75.4687 | + | 75.4687i | 0.249896 | + | 0.249896i | ||||
\(303\) | 132.516i | 0.437346i | ||||||||
\(304\) | −41.8733 | −0.137741 | ||||||||
\(305\) | 271.176 | − | 62.4425i | 0.889101 | − | 0.204729i | ||||
\(306\) | −14.7373 | − | 101.893i | −0.0481612 | − | 0.332985i | ||||
\(307\) | −410.438 | − | 410.438i | −1.33693 | − | 1.33693i | −0.899016 | − | 0.437916i | \(-0.855717\pi\) |
−0.437916 | − | 0.899016i | \(-0.644283\pi\) | |||||||
\(308\) | 9.26493 | + | 9.26493i | 0.0300809 | + | 0.0300809i | ||||
\(309\) | −203.304 | − | 203.304i | −0.657941 | − | 0.657941i | ||||
\(310\) | −164.285 | − | 102.788i | −0.529952 | − | 0.331573i | ||||
\(311\) | 323.185 | − | 323.185i | 1.03918 | − | 1.03918i | 0.0399809 | − | 0.999200i | \(-0.487270\pi\) |
0.999200 | − | 0.0399809i | \(-0.0127297\pi\) | |||||||
\(312\) | − | 22.9761i | − | 0.0736413i | ||||||
\(313\) | 320.505 | 1.02398 | 0.511988 | − | 0.858993i | \(-0.328909\pi\) | ||||
0.511988 | + | 0.858993i | \(0.328909\pi\) | |||||||
\(314\) | 300.315 | 0.956416 | ||||||||
\(315\) | −45.6986 | − | 28.5921i | −0.145075 | − | 0.0907684i | ||||
\(316\) | 95.4124 | + | 95.4124i | 0.301938 | + | 0.301938i | ||||
\(317\) | − | 259.019i | − | 0.817096i | −0.912737 | − | 0.408548i | \(-0.866035\pi\) | ||
0.912737 | − | 0.408548i | \(-0.133965\pi\) | |||||||
\(318\) | − | 347.731i | − | 1.09350i | ||||||
\(319\) | 61.6239i | 0.193178i | ||||||||
\(320\) | 33.9098 | + | 21.2162i | 0.105968 | + | 0.0663006i | ||||
\(321\) | 372.166i | 1.15940i | ||||||||
\(322\) | −7.21165 | − | 7.21165i | −0.0223964 | − | 0.0223964i | ||||
\(323\) | −106.529 | + | 142.555i | −0.329811 | + | 0.441347i | ||||
\(324\) | 202.405i | 0.624707i | ||||||||
\(325\) | 52.6663 | + | 18.2019i | 0.162050 | + | 0.0560059i | ||||
\(326\) | 182.657 | − | 182.657i | 0.560299 | − | 0.560299i | ||||
\(327\) | 492.886 | + | 492.886i | 1.50730 | + | 1.50730i | ||||
\(328\) | − | 143.594i | − | 0.437786i | ||||||
\(329\) | 151.971 | − | 151.971i | 0.461919 | − | 0.461919i | ||||
\(330\) | −56.8491 | − | 35.5685i | −0.172270 | − | 0.107783i | ||||
\(331\) | − | 621.830i | − | 1.87864i | −0.343043 | − | 0.939320i | \(-0.611458\pi\) | ||
0.343043 | − | 0.939320i | \(-0.388542\pi\) | |||||||
\(332\) | 66.6506 | − | 66.6506i | 0.200755 | − | 0.200755i | ||||
\(333\) | −60.5791 | −0.181919 | ||||||||
\(334\) | −195.792 | + | 195.792i | −0.586204 | + | 0.586204i | ||||
\(335\) | −446.764 | + | 102.874i | −1.33362 | + | 0.307088i | ||||
\(336\) | −36.7018 | −0.109231 | ||||||||
\(337\) | −159.768 | −0.474089 | −0.237045 | − | 0.971499i | \(-0.576179\pi\) | ||||
−0.237045 | + | 0.971499i | \(0.576179\pi\) | |||||||
\(338\) | 164.032 | + | 164.032i | 0.485302 | + | 0.485302i | ||||
\(339\) | 623.399i | 1.83893i | ||||||||
\(340\) | 158.498 | − | 61.4682i | 0.466171 | − | 0.180789i | ||||
\(341\) | 71.3157 | 0.209137 | ||||||||
\(342\) | −44.8286 | + | 44.8286i | −0.131078 | + | 0.131078i | ||||
\(343\) | 230.769i | 0.672796i | ||||||||
\(344\) | − | 42.3370i | − | 0.123073i | ||||||
\(345\) | 44.2503 | + | 27.6859i | 0.128262 | + | 0.0802489i | ||||
\(346\) | −76.6493 | − | 76.6493i | −0.221530 | − | 0.221530i | ||||
\(347\) | − | 283.689i | − | 0.817549i | −0.912635 | − | 0.408774i | \(-0.865956\pi\) | ||
0.912635 | − | 0.408774i | \(-0.134044\pi\) | |||||||
\(348\) | −122.057 | − | 122.057i | −0.350740 | − | 0.350740i | ||||
\(349\) | 95.7372 | 0.274318 | 0.137159 | − | 0.990549i | \(-0.456203\pi\) | ||||
0.137159 | + | 0.990549i | \(0.456203\pi\) | |||||||
\(350\) | 29.0756 | − | 84.1287i | 0.0830730 | − | 0.240368i | ||||
\(351\) | 27.0985 | + | 27.0985i | 0.0772038 | + | 0.0772038i | ||||
\(352\) | −14.7201 | −0.0418186 | ||||||||
\(353\) | −379.043 | + | 379.043i | −1.07378 | + | 1.07378i | −0.0767229 | + | 0.997052i | \(0.524446\pi\) |
−0.997052 | + | 0.0767229i | \(0.975554\pi\) | |||||||
\(354\) | 88.6496 | + | 88.6496i | 0.250423 | + | 0.250423i | ||||
\(355\) | 15.8974 | + | 69.0394i | 0.0447814 | + | 0.194477i | ||||
\(356\) | −72.2827 | −0.203041 | ||||||||
\(357\) | −93.3721 | + | 124.949i | −0.261546 | + | 0.349997i | ||||
\(358\) | −20.8905 | + | 20.8905i | −0.0583532 | + | 0.0583532i | ||||
\(359\) | −527.313 | −1.46884 | −0.734419 | − | 0.678696i | \(-0.762545\pi\) | ||||
−0.734419 | + | 0.678696i | \(0.762545\pi\) | |||||||
\(360\) | 59.0166 | − | 13.5895i | 0.163935 | − | 0.0377486i | ||||
\(361\) | −251.414 | −0.696438 | ||||||||
\(362\) | −51.2861 | −0.141674 | ||||||||
\(363\) | −416.305 | −1.14685 | ||||||||
\(364\) | −7.93597 | + | 7.93597i | −0.0218021 | + | 0.0218021i | ||||
\(365\) | 228.892 | + | 143.210i | 0.627100 | + | 0.392355i | ||||
\(366\) | − | 286.848i | − | 0.783737i | ||||||
\(367\) | 269.563i | 0.734505i | 0.930121 | + | 0.367253i | \(0.119702\pi\) | ||||
−0.930121 | + | 0.367253i | \(0.880298\pi\) | |||||||
\(368\) | 11.4579 | 0.0311355 | ||||||||
\(369\) | −153.728 | − | 153.728i | −0.416608 | − | 0.416608i | ||||
\(370\) | −22.4461 | − | 97.4791i | −0.0606651 | − | 0.263457i | ||||
\(371\) | −120.107 | + | 120.107i | −0.323738 | + | 0.323738i | ||||
\(372\) | −141.254 | + | 141.254i | −0.379714 | + | 0.379714i | ||||
\(373\) | 403.169 | − | 403.169i | 1.08088 | − | 1.08088i | 0.0844542 | − | 0.996427i | \(-0.473085\pi\) |
0.996427 | − | 0.0844542i | \(-0.0269147\pi\) | |||||||
\(374\) | −37.4491 | + | 50.1138i | −0.100131 | + | 0.133994i | ||||
\(375\) | −48.3968 | + | 452.983i | −0.129058 | + | 1.20796i | ||||
\(376\) | 241.452i | 0.642161i | ||||||||
\(377\) | −52.7845 | −0.140012 | ||||||||
\(378\) | 43.2869 | − | 43.2869i | 0.114516 | − | 0.114516i | ||||
\(379\) | 29.0227 | + | 29.0227i | 0.0765771 | + | 0.0765771i | 0.744358 | − | 0.667781i | \(-0.232756\pi\) |
−0.667781 | + | 0.744358i | \(0.732756\pi\) | |||||||
\(380\) | −88.7447 | − | 55.5245i | −0.233539 | − | 0.146117i | ||||
\(381\) | 130.462 | + | 130.462i | 0.342421 | + | 0.342421i | ||||
\(382\) | 343.538 | − | 343.538i | 0.899315 | − | 0.899315i | ||||
\(383\) | 393.130 | + | 393.130i | 1.02645 | + | 1.02645i | 0.999641 | + | 0.0268076i | \(0.00853416\pi\) |
0.0268076 | + | 0.999641i | \(0.491466\pi\) | |||||||
\(384\) | 29.1559 | − | 29.1559i | 0.0759269 | − | 0.0759269i | ||||
\(385\) | 7.35034 | + | 31.9211i | 0.0190918 | + | 0.0829121i | ||||
\(386\) | −200.723 | + | 200.723i | −0.520009 | + | 0.520009i | ||||
\(387\) | −45.3250 | − | 45.3250i | −0.117119 | − | 0.117119i | ||||
\(388\) | − | 287.128i | − | 0.740021i | ||||||
\(389\) | −326.044 | −0.838159 | −0.419080 | − | 0.907950i | \(-0.637647\pi\) | ||||
−0.419080 | + | 0.907950i | \(0.637647\pi\) | |||||||
\(390\) | 30.4666 | − | 48.6947i | 0.0781194 | − | 0.124858i | ||||
\(391\) | 29.1497 | − | 39.0076i | 0.0745516 | − | 0.0997637i | ||||
\(392\) | −85.3232 | − | 85.3232i | −0.217661 | − | 0.217661i | ||||
\(393\) | 154.092 | + | 154.092i | 0.392092 | + | 0.392092i | ||||
\(394\) | 367.945 | + | 367.945i | 0.933871 | + | 0.933871i | ||||
\(395\) | 75.6955 | + | 328.731i | 0.191634 | + | 0.832231i | ||||
\(396\) | −15.7590 | + | 15.7590i | −0.0397955 | + | 0.0397955i | ||||
\(397\) | − | 222.136i | − | 0.559536i | −0.960068 | − | 0.279768i | \(-0.909742\pi\) | ||
0.960068 | − | 0.279768i | \(-0.0902576\pi\) | |||||||
\(398\) | 528.243 | 1.32724 | ||||||||
\(399\) | 96.0516 | 0.240731 | ||||||||
\(400\) | 43.7342 | + | 89.9295i | 0.109336 | + | 0.224824i | ||||
\(401\) | 168.413 | + | 168.413i | 0.419982 | + | 0.419982i | 0.885197 | − | 0.465215i | \(-0.154023\pi\) |
−0.465215 | + | 0.885197i | \(0.654023\pi\) | |||||||
\(402\) | 472.584i | 1.17558i | ||||||||
\(403\) | 61.0862i | 0.151579i | ||||||||
\(404\) | 72.7211i | 0.180003i | ||||||||
\(405\) | −268.392 | + | 428.970i | −0.662695 | + | 1.05918i | ||||
\(406\) | 84.3175i | 0.207679i | ||||||||
\(407\) | 26.0296 | + | 26.0296i | 0.0639547 | + | 0.0639547i | ||||
\(408\) | −25.0847 | − | 173.434i | −0.0614820 | − | 0.425084i | ||||
\(409\) | − | 213.459i | − | 0.521905i | −0.965352 | − | 0.260952i | \(-0.915963\pi\) | ||
0.965352 | − | 0.260952i | \(-0.0840365\pi\) | |||||||
\(410\) | 190.407 | − | 304.327i | 0.464408 | − | 0.742262i | ||||
\(411\) | −462.084 | + | 462.084i | −1.12429 | + | 1.12429i | ||||
\(412\) | −111.568 | − | 111.568i | −0.270795 | − | 0.270795i | ||||
\(413\) | − | 61.2393i | − | 0.148279i | ||||||
\(414\) | 12.2665 | − | 12.2665i | 0.0296293 | − | 0.0296293i | ||||
\(415\) | 229.636 | − | 52.8773i | 0.553340 | − | 0.127415i | ||||
\(416\) | − | 12.6087i | − | 0.0303093i | ||||||
\(417\) | 83.9065 | − | 83.9065i | 0.201215 | − | 0.201215i | ||||
\(418\) | 38.5238 | 0.0921622 | ||||||||
\(419\) | 374.883 | − | 374.883i | 0.894710 | − | 0.894710i | −0.100252 | − | 0.994962i | \(-0.531965\pi\) |
0.994962 | + | 0.100252i | \(0.0319650\pi\) | |||||||
\(420\) | −77.7844 | − | 48.6670i | −0.185201 | − | 0.115874i | ||||
\(421\) | −605.275 | −1.43771 | −0.718854 | − | 0.695161i | \(-0.755333\pi\) | ||||
−0.718854 | + | 0.695161i | \(0.755333\pi\) | |||||||
\(422\) | 143.720 | 0.340569 | ||||||||
\(423\) | 258.493 | + | 258.493i | 0.611095 | + | 0.611095i | ||||
\(424\) | − | 190.826i | − | 0.450061i | ||||||
\(425\) | 417.422 | + | 79.8969i | 0.982170 | + | 0.187993i | ||||
\(426\) | 73.0294 | 0.171430 | ||||||||
\(427\) | −99.0775 | + | 99.0775i | −0.232032 | + | 0.232032i | ||||
\(428\) | 204.235i | 0.477185i | ||||||||
\(429\) | 21.1382i | 0.0492732i | ||||||||
\(430\) | 56.1393 | − | 89.7274i | 0.130557 | − | 0.208668i | ||||
\(431\) | 481.785 | + | 481.785i | 1.11783 | + | 1.11783i | 0.992059 | + | 0.125771i | \(0.0401405\pi\) |
0.125771 | + | 0.992059i | \(0.459859\pi\) | |||||||
\(432\) | 68.7743i | 0.159200i | ||||||||
\(433\) | −245.936 | − | 245.936i | −0.567982 | − | 0.567982i | 0.363581 | − | 0.931563i | \(-0.381554\pi\) |
−0.931563 | + | 0.363581i | \(0.881554\pi\) | |||||||
\(434\) | 97.5784 | 0.224835 | ||||||||
\(435\) | −96.8343 | − | 420.533i | −0.222608 | − | 0.966743i | ||||
\(436\) | 270.483 | + | 270.483i | 0.620374 | + | 0.620374i | ||||
\(437\) | −29.9862 | −0.0686183 | ||||||||
\(438\) | 196.803 | − | 196.803i | 0.449322 | − | 0.449322i | ||||
\(439\) | −100.177 | − | 100.177i | −0.228193 | − | 0.228193i | 0.583745 | − | 0.811937i | \(-0.301587\pi\) |
−0.811937 | + | 0.583745i | \(0.801587\pi\) | |||||||
\(440\) | −31.1973 | − | 19.5191i | −0.0709029 | − | 0.0443615i | ||||
\(441\) | −182.690 | −0.414263 | ||||||||
\(442\) | −42.9254 | − | 32.0774i | −0.0971164 | − | 0.0725733i | ||||
\(443\) | −533.095 | + | 533.095i | −1.20338 | + | 1.20338i | −0.230242 | + | 0.973133i | \(0.573952\pi\) |
−0.973133 | + | 0.230242i | \(0.926048\pi\) | |||||||
\(444\) | −103.113 | −0.232236 | ||||||||
\(445\) | −153.193 | − | 95.8476i | −0.344254 | − | 0.215388i | ||||
\(446\) | 36.3530 | 0.0815089 | ||||||||
\(447\) | 393.504 | 0.880323 | ||||||||
\(448\) | −20.1410 | −0.0449575 | ||||||||
\(449\) | 88.8706 | − | 88.8706i | 0.197930 | − | 0.197930i | −0.601182 | − | 0.799112i | \(-0.705303\pi\) |
0.799112 | + | 0.601182i | \(0.205303\pi\) | |||||||
\(450\) | 143.097 | + | 49.4556i | 0.317994 | + | 0.109901i | ||||
\(451\) | 132.108i | 0.292921i | ||||||||
\(452\) | 342.105i | 0.756869i | ||||||||
\(453\) | 275.045 | 0.607163 | ||||||||
\(454\) | 239.348 | + | 239.348i | 0.527197 | + | 0.527197i | ||||
\(455\) | −27.3424 | + | 6.29601i | −0.0600931 | + | 0.0138374i | ||||
\(456\) | −76.3034 | + | 76.3034i | −0.167332 | + | 0.167332i | ||||
\(457\) | 241.878 | − | 241.878i | 0.529274 | − | 0.529274i | −0.391082 | − | 0.920356i | \(-0.627899\pi\) |
0.920356 | + | 0.391082i | \(0.127899\pi\) | |||||||
\(458\) | 167.835 | − | 167.835i | 0.366452 | − | 0.366452i | ||||
\(459\) | 234.138 | + | 174.967i | 0.510104 | + | 0.381192i | ||||
\(460\) | 24.2834 | + | 15.1933i | 0.0527900 | + | 0.0330288i | ||||
\(461\) | − | 487.235i | − | 1.05691i | −0.848961 | − | 0.528455i | \(-0.822772\pi\) | ||
0.848961 | − | 0.528455i | \(-0.177228\pi\) | |||||||
\(462\) | 33.7659 | 0.0730865 | ||||||||
\(463\) | 394.406 | − | 394.406i | 0.851849 | − | 0.851849i | −0.138512 | − | 0.990361i | \(-0.544232\pi\) |
0.990361 | + | 0.138512i | \(0.0442320\pi\) | |||||||
\(464\) | −66.9819 | − | 66.9819i | −0.144357 | − | 0.144357i | ||||
\(465\) | −486.672 | + | 112.064i | −1.04661 | + | 0.240997i | ||||
\(466\) | −92.4647 | − | 92.4647i | −0.198422 | − | 0.198422i | ||||
\(467\) | −147.754 | + | 147.754i | −0.316390 | + | 0.316390i | −0.847379 | − | 0.530989i | \(-0.821821\pi\) |
0.530989 | + | 0.847379i | \(0.321821\pi\) | |||||||
\(468\) | −13.4986 | − | 13.4986i | −0.0288431 | − | 0.0288431i | ||||
\(469\) | 163.231 | − | 163.231i | 0.348040 | − | 0.348040i | ||||
\(470\) | −320.169 | + | 511.725i | −0.681210 | + | 1.08878i | ||||
\(471\) | 547.247 | − | 547.247i | 1.16188 | − | 1.16188i | ||||
\(472\) | 48.6486 | + | 48.6486i | 0.103069 | + | 0.103069i | ||||
\(473\) | 38.9504i | 0.0823475i | ||||||||
\(474\) | 347.730 | 0.733607 | ||||||||
\(475\) | −114.456 | − | 235.353i | −0.240960 | − | 0.495480i | ||||
\(476\) | −51.2401 | + | 68.5687i | −0.107647 | + | 0.144052i | ||||
\(477\) | −204.294 | − | 204.294i | −0.428289 | − | 0.428289i | ||||
\(478\) | −1.73597 | − | 1.73597i | −0.00363173 | − | 0.00363173i | ||||
\(479\) | 45.1285 | + | 45.1285i | 0.0942140 | + | 0.0942140i | 0.752643 | − | 0.658429i | \(-0.228779\pi\) |
−0.658429 | + | 0.752643i | \(0.728779\pi\) | |||||||
\(480\) | 100.453 | − | 23.1309i | 0.209277 | − | 0.0481893i | ||||
\(481\) | −22.2959 | + | 22.2959i | −0.0463532 | + | 0.0463532i | ||||
\(482\) | 55.9580i | 0.116096i | ||||||||
\(483\) | −26.2828 | −0.0544157 | ||||||||
\(484\) | −228.457 | −0.472019 | ||||||||
\(485\) | 380.735 | − | 608.528i | 0.785020 | − | 1.25470i | ||||
\(486\) | 214.090 | + | 214.090i | 0.440514 | + | 0.440514i | ||||
\(487\) | − | 810.637i | − | 1.66455i | −0.554361 | − | 0.832276i | \(-0.687037\pi\) | ||
0.554361 | − | 0.832276i | \(-0.312963\pi\) | |||||||
\(488\) | − | 157.415i | − | 0.322571i | ||||||
\(489\) | − | 665.693i | − | 1.36134i | ||||||
\(490\) | −67.6912 | − | 293.970i | −0.138145 | − | 0.599939i | ||||
\(491\) | 313.136i | 0.637752i | 0.947796 | + | 0.318876i | \(0.103305\pi\) | ||||
−0.947796 | + | 0.318876i | \(0.896695\pi\) | |||||||
\(492\) | −261.663 | − | 261.663i | −0.531836 | − | 0.531836i | ||||
\(493\) | −398.442 | + | 57.6287i | −0.808199 | + | 0.116894i | ||||
\(494\) | 32.9979i | 0.0667974i | ||||||||
\(495\) | −54.2957 | + | 12.5024i | −0.109688 | + | 0.0252575i | ||||
\(496\) | −77.5163 | + | 77.5163i | −0.156283 | + | 0.156283i | ||||
\(497\) | −25.2244 | − | 25.2244i | −0.0507534 | − | 0.0507534i | ||||
\(498\) | − | 242.907i | − | 0.487766i | ||||||
\(499\) | 230.154 | − | 230.154i | 0.461231 | − | 0.461231i | −0.437828 | − | 0.899059i | \(-0.644252\pi\) |
0.899059 | + | 0.437828i | \(0.144252\pi\) | |||||||
\(500\) | −26.5589 | + | 248.585i | −0.0531177 | + | 0.497171i | ||||
\(501\) | 713.562i | 1.42428i | ||||||||
\(502\) | −237.556 | + | 237.556i | −0.473219 | + | 0.473219i | ||||
\(503\) | −230.360 | −0.457972 | −0.228986 | − | 0.973430i | \(-0.573541\pi\) | ||||
−0.228986 | + | 0.973430i | \(0.573541\pi\) | |||||||
\(504\) | −21.5625 | + | 21.5625i | −0.0427826 | + | 0.0427826i | ||||
\(505\) | −96.4290 | + | 154.122i | −0.190949 | + | 0.305193i | ||||
\(506\) | −10.5413 | −0.0208327 | ||||||||
\(507\) | 597.813 | 1.17912 | ||||||||
\(508\) | 71.5943 | + | 71.5943i | 0.140934 | + | 0.140934i | ||||
\(509\) | 176.293i | 0.346352i | 0.984891 | + | 0.173176i | \(0.0554030\pi\) | ||||
−0.984891 | + | 0.173176i | \(0.944597\pi\) | |||||||
\(510\) | 176.812 | − | 400.833i | 0.346691 | − | 0.785946i | ||||
\(511\) | −135.952 | −0.266051 | ||||||||
\(512\) | 16.0000 | − | 16.0000i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | − | 179.988i | − | 0.350854i | ||||||
\(514\) | 186.245i | 0.362345i | ||||||||
\(515\) | −88.5123 | − | 384.392i | −0.171869 | − | 0.746393i | ||||
\(516\) | −77.1484 | − | 77.1484i | −0.149512 | − | 0.149512i | ||||
\(517\) | − | 222.138i | − | 0.429668i | ||||||
\(518\) | 35.6152 | + | 35.6152i | 0.0687553 | + | 0.0687553i | ||||
\(519\) | −279.348 | −0.538242 | ||||||||
\(520\) | 16.7192 | − | 26.7223i | 0.0321524 | − | 0.0513891i | ||||
\(521\) | 454.583 | + | 454.583i | 0.872519 | + | 0.872519i | 0.992746 | − | 0.120227i | \(-0.0383623\pi\) |
−0.120227 | + | 0.992746i | \(0.538362\pi\) | |||||||
\(522\) | −143.418 | −0.274748 | ||||||||
\(523\) | 283.667 | − | 283.667i | 0.542384 | − | 0.542384i | −0.381843 | − | 0.924227i | \(-0.624710\pi\) |
0.924227 | + | 0.381843i | \(0.124710\pi\) | |||||||
\(524\) | 84.5618 | + | 84.5618i | 0.161377 | + | 0.161377i | ||||
\(525\) | −100.320 | − | 206.286i | −0.191086 | − | 0.392925i | ||||
\(526\) | −641.284 | −1.21917 | ||||||||
\(527\) | 66.6921 | + | 461.107i | 0.126551 | + | 0.874965i | ||||
\(528\) | −26.8237 | + | 26.8237i | −0.0508024 | + | 0.0508024i | ||||
\(529\) | −520.795 | −0.984489 | ||||||||
\(530\) | 253.037 | − | 404.429i | 0.477429 | − | 0.763074i | ||||
\(531\) | 104.164 | 0.196166 | ||||||||
\(532\) | 52.7106 | 0.0990800 | ||||||||
\(533\) | −113.158 | −0.212304 | ||||||||
\(534\) | −131.717 | + | 131.717i | −0.246660 | + | 0.246660i | ||||
\(535\) | −270.818 | + | 432.848i | −0.506202 | + | 0.809062i | ||||
\(536\) | 259.341i | 0.483846i | ||||||||
\(537\) | 76.1351i | 0.141779i | ||||||||
\(538\) | −388.931 | −0.722921 | ||||||||
\(539\) | 78.4980 | + | 78.4980i | 0.145636 | + | 0.145636i | ||||
\(540\) | −91.1955 | + | 145.758i | −0.168881 | + | 0.269922i | ||||
\(541\) | −120.760 | + | 120.760i | −0.223216 | + | 0.223216i | −0.809851 | − | 0.586635i | \(-0.800452\pi\) |
0.586635 | + | 0.809851i | \(0.300452\pi\) | |||||||
\(542\) | 140.688 | − | 140.688i | 0.259571 | − | 0.259571i | ||||
\(543\) | −93.4559 | + | 93.4559i | −0.172110 | + | 0.172110i | ||||
\(544\) | −13.7658 | − | 95.1762i | −0.0253048 | − | 0.174956i | ||||
\(545\) | 214.588 | + | 931.915i | 0.393739 | + | 1.70994i | ||||
\(546\) | 28.9226i | 0.0529717i | ||||||||
\(547\) | −392.045 | −0.716718 | −0.358359 | − | 0.933584i | \(-0.616664\pi\) | ||||
−0.358359 | + | 0.933584i | \(0.616664\pi\) | |||||||
\(548\) | −253.580 | + | 253.580i | −0.462737 | + | 0.462737i | ||||
\(549\) | −168.524 | − | 168.524i | −0.306966 | − | 0.306966i | ||||
\(550\) | −40.2359 | − | 82.7359i | −0.0731561 | − | 0.150429i | ||||
\(551\) | 175.297 | + | 175.297i | 0.318143 | + | 0.318143i | ||||
\(552\) | 20.8791 | − | 20.8791i | 0.0378244 | − | 0.0378244i | ||||
\(553\) | −120.106 | − | 120.106i | −0.217190 | − | 0.217190i | ||||
\(554\) | 191.172 | − | 191.172i | 0.345076 | − | 0.345076i | ||||
\(555\) | −218.533 | − | 136.729i | −0.393753 | − | 0.246358i | ||||
\(556\) | 46.0457 | − | 46.0457i | 0.0828160 | − | 0.0828160i | ||||
\(557\) | −91.4718 | − | 91.4718i | −0.164222 | − | 0.164222i | 0.620212 | − | 0.784434i | \(-0.287047\pi\) |
−0.784434 | + | 0.620212i | \(0.787047\pi\) | |||||||
\(558\) | 165.974i | 0.297445i | ||||||||
\(559\) | −33.3633 | −0.0596840 | ||||||||
\(560\) | −42.6860 | − | 26.7072i | −0.0762250 | − | 0.0476913i | ||||
\(561\) | 23.0781 | + | 159.561i | 0.0411374 | + | 0.284422i | ||||
\(562\) | −541.518 | − | 541.518i | −0.963556 | − | 0.963556i | ||||
\(563\) | 672.399 | + | 672.399i | 1.19431 | + | 1.19431i | 0.975844 | + | 0.218470i | \(0.0701066\pi\) |
0.218470 | + | 0.975844i | \(0.429893\pi\) | |||||||
\(564\) | 439.985 | + | 439.985i | 0.780116 | + | 0.780116i | ||||
\(565\) | −453.635 | + | 725.044i | −0.802893 | + | 1.28326i | ||||
\(566\) | −493.314 | + | 493.314i | −0.871579 | + | 0.871579i | ||||
\(567\) | − | 254.790i | − | 0.449365i | ||||||
\(568\) | 40.0766 | 0.0705574 | ||||||||
\(569\) | −1000.49 | −1.75833 | −0.879164 | − | 0.476520i | \(-0.841898\pi\) | ||||
−0.879164 | + | 0.476520i | \(0.841898\pi\) | |||||||
\(570\) | −262.894 | + | 60.5354i | −0.461217 | + | 0.106202i | ||||
\(571\) | −522.562 | − | 522.562i | −0.915170 | − | 0.915170i | 0.0815027 | − | 0.996673i | \(-0.474028\pi\) |
−0.996673 | + | 0.0815027i | \(0.974028\pi\) | |||||||
\(572\) | 11.6001i | 0.0202799i | ||||||||
\(573\) | − | 1252.02i | − | 2.18503i | ||||||
\(574\) | 180.758i | 0.314909i | ||||||||
\(575\) | 31.3188 | + | 64.4001i | 0.0544675 | + | 0.112000i | ||||
\(576\) | − | 34.2585i | − | 0.0594765i | ||||||
\(577\) | 277.369 | + | 277.369i | 0.480710 | + | 0.480710i | 0.905358 | − | 0.424649i | \(-0.139602\pi\) |
−0.424649 | + | 0.905358i | \(0.639602\pi\) | |||||||
\(578\) | −359.042 | − | 195.270i | −0.621181 | − | 0.337838i | ||||
\(579\) | 731.535i | 1.26344i | ||||||||
\(580\) | −53.1401 | − | 230.777i | −0.0916209 | − | 0.397892i | ||||
\(581\) | −83.9005 | + | 83.9005i | −0.144407 | + | 0.144407i | ||||
\(582\) | −523.218 | − | 523.218i | −0.898999 | − | 0.898999i | ||||
\(583\) | 175.561i | 0.301134i | ||||||||
\(584\) | 108.000 | − | 108.000i | 0.184932 | − | 0.184932i | ||||
\(585\) | −10.7091 | − | 46.5075i | −0.0183061 | − | 0.0795001i | ||||
\(586\) | − | 129.516i | − | 0.221018i | ||||||
\(587\) | −511.397 | + | 511.397i | −0.871205 | + | 0.871205i | −0.992604 | − | 0.121399i | \(-0.961262\pi\) |
0.121399 | + | 0.992604i | \(0.461262\pi\) | |||||||
\(588\) | −310.959 | −0.528843 | ||||||||
\(589\) | 202.867 | − | 202.867i | 0.344426 | − | 0.344426i | ||||
\(590\) | 38.5954 | + | 167.612i | 0.0654159 | + | 0.284089i | ||||
\(591\) | 1340.97 | 2.26899 | ||||||||
\(592\) | −56.5855 | −0.0955836 | ||||||||
\(593\) | −485.752 | − | 485.752i | −0.819143 | − | 0.819143i | 0.166841 | − | 0.985984i | \(-0.446643\pi\) |
−0.985984 | + | 0.166841i | \(0.946643\pi\) | |||||||
\(594\) | − | 63.2730i | − | 0.106520i | ||||||
\(595\) | −199.519 | + | 77.3768i | −0.335326 | + | 0.130045i | ||||
\(596\) | 215.945 | 0.362323 | ||||||||
\(597\) | 962.588 | − | 962.588i | 1.61238 | − | 1.61238i | ||||
\(598\) | − | 9.02929i | − | 0.0150991i | ||||||
\(599\) | 240.970i | 0.402287i | 0.979562 | + | 0.201144i | \(0.0644658\pi\) | ||||
−0.979562 | + | 0.201144i | \(0.935534\pi\) | |||||||
\(600\) | 243.568 | + | 84.1791i | 0.405947 | + | 0.140299i | ||||
\(601\) | 273.824 | + | 273.824i | 0.455614 | + | 0.455614i | 0.897213 | − | 0.441599i | \(-0.145589\pi\) |
−0.441599 | + | 0.897213i | \(0.645589\pi\) | |||||||
\(602\) | 53.2943i | 0.0885287i | ||||||||
\(603\) | 277.645 | + | 277.645i | 0.460439 | + | 0.460439i | ||||
\(604\) | 150.937 | 0.249896 | ||||||||
\(605\) | −484.184 | − | 302.937i | −0.800304 | − | 0.500722i | ||||
\(606\) | 132.516 | + | 132.516i | 0.218673 | + | 0.218673i | ||||
\(607\) | 774.909 | 1.27662 | 0.638311 | − | 0.769779i | \(-0.279634\pi\) | ||||
0.638311 | + | 0.769779i | \(0.279634\pi\) | |||||||
\(608\) | −41.8733 | + | 41.8733i | −0.0688706 | + | 0.0688706i | ||||
\(609\) | 153.647 | + | 153.647i | 0.252294 | + | 0.252294i | ||||
\(610\) | 208.733 | − | 333.618i | 0.342186 | − | 0.546915i | ||||
\(611\) | 190.275 | 0.311415 | ||||||||
\(612\) | −116.631 | − | 87.1560i | −0.190573 | − | 0.142412i | ||||
\(613\) | 415.326 | − | 415.326i | 0.677530 | − | 0.677530i | −0.281911 | − | 0.959441i | \(-0.590968\pi\) |
0.959441 | + | 0.281911i | \(0.0909682\pi\) | |||||||
\(614\) | −820.876 | −1.33693 | ||||||||
\(615\) | −207.591 | − | 901.527i | −0.337546 | − | 1.46590i | ||||
\(616\) | 18.5299 | 0.0300809 | ||||||||
\(617\) | −422.398 | −0.684599 | −0.342300 | − | 0.939591i | \(-0.611206\pi\) | ||||
−0.342300 | + | 0.939591i | \(0.611206\pi\) | |||||||
\(618\) | −406.607 | −0.657941 | ||||||||
\(619\) | −532.726 | + | 532.726i | −0.860624 | + | 0.860624i | −0.991411 | − | 0.130786i | \(-0.958250\pi\) |
0.130786 | + | 0.991411i | \(0.458250\pi\) | |||||||
\(620\) | −267.073 | + | 61.4977i | −0.430762 | + | 0.0991898i | ||||
\(621\) | 49.2505i | 0.0793084i | ||||||||
\(622\) | − | 646.371i | − | 1.03918i | ||||||
\(623\) | 90.9902 | 0.146052 | ||||||||
\(624\) | −22.9761 | − | 22.9761i | −0.0368207 | − | 0.0368207i | ||||
\(625\) | −385.915 | + | 491.625i | −0.617463 | + | 0.786600i | ||||
\(626\) | 320.505 | − | 320.505i | 0.511988 | − | 0.511988i | ||||
\(627\) | 70.1998 | − | 70.1998i | 0.111961 | − | 0.111961i | ||||
\(628\) | 300.315 | − | 300.315i | 0.478208 | − | 0.478208i | ||||
\(629\) | −143.958 | + | 192.642i | −0.228868 | + | 0.306267i | ||||
\(630\) | −74.2907 | + | 17.1066i | −0.117922 | + | 0.0271533i | ||||
\(631\) | − | 838.893i | − | 1.32947i | −0.747081 | − | 0.664733i | \(-0.768545\pi\) | ||
0.747081 | − | 0.664733i | \(-0.231455\pi\) | |||||||
\(632\) | 190.825 | 0.301938 | ||||||||
\(633\) | 261.893 | − | 261.893i | 0.413733 | − | 0.413733i | ||||
\(634\) | −259.019 | − | 259.019i | −0.408548 | − | 0.408548i | ||||
\(635\) | 56.7994 | + | 246.669i | 0.0894478 | + | 0.388455i | ||||
\(636\) | −347.731 | − | 347.731i | −0.546748 | − | 0.546748i | ||||
\(637\) | −67.2383 | + | 67.2383i | −0.105555 | + | 0.105555i | ||||
\(638\) | 61.6239 | + | 61.6239i | 0.0965891 | + | 0.0965891i | ||||
\(639\) | 42.9051 | − | 42.9051i | 0.0671441 | − | 0.0671441i | ||||
\(640\) | 55.1260 | − | 12.6936i | 0.0861343 | − | 0.0198338i | ||||
\(641\) | 498.102 | − | 498.102i | 0.777070 | − | 0.777070i | −0.202261 | − | 0.979332i | \(-0.564829\pi\) |
0.979332 | + | 0.202261i | \(0.0648290\pi\) | |||||||
\(642\) | 372.166 | + | 372.166i | 0.579699 | + | 0.579699i | ||||
\(643\) | − | 368.397i | − | 0.572935i | −0.958090 | − | 0.286467i | \(-0.907519\pi\) | ||
0.958090 | − | 0.286467i | \(-0.0924810\pi\) | |||||||
\(644\) | −14.4233 | −0.0223964 | ||||||||
\(645\) | −61.2057 | − | 265.805i | −0.0948926 | − | 0.412101i | ||||
\(646\) | 36.0262 | + | 249.084i | 0.0557681 | + | 0.385579i | ||||
\(647\) | 211.121 | + | 211.121i | 0.326308 | + | 0.326308i | 0.851181 | − | 0.524873i | \(-0.175887\pi\) |
−0.524873 | + | 0.851181i | \(0.675887\pi\) | |||||||
\(648\) | 202.405 | + | 202.405i | 0.312354 | + | 0.312354i | ||||
\(649\) | −44.7571 | − | 44.7571i | −0.0689631 | − | 0.0689631i | ||||
\(650\) | 70.8683 | − | 34.4644i | 0.109028 | − | 0.0530222i | ||||
\(651\) | 177.812 | − | 177.812i | 0.273136 | − | 0.273136i | ||||
\(652\) | − | 365.315i | − | 0.560299i | ||||||
\(653\) | 1012.81 | 1.55101 | 0.775507 | − | 0.631339i | \(-0.217494\pi\) | ||||
0.775507 | + | 0.631339i | \(0.217494\pi\) | |||||||
\(654\) | 985.773 | 1.50730 | ||||||||
\(655\) | 67.0872 | + | 291.347i | 0.102423 | + | 0.444804i | ||||
\(656\) | −143.594 | − | 143.594i | −0.218893 | − | 0.218893i | ||||
\(657\) | − | 231.245i | − | 0.351971i | ||||||
\(658\) | − | 303.943i | − | 0.461919i | ||||||
\(659\) | − | 747.453i | − | 1.13422i | −0.823641 | − | 0.567112i | \(-0.808061\pi\) | ||
0.823641 | − | 0.567112i | \(-0.191939\pi\) | |||||||
\(660\) | −92.4176 | + | 21.2806i | −0.140027 | + | 0.0322433i | ||||
\(661\) | 151.853i | 0.229732i | 0.993381 | + | 0.114866i | \(0.0366438\pi\) | ||||
−0.993381 | + | 0.114866i | \(0.963356\pi\) | |||||||
\(662\) | −621.830 | − | 621.830i | −0.939320 | − | 0.939320i | ||||
\(663\) | −136.674 | + | 19.7678i | −0.206144 | + | 0.0298156i | ||||
\(664\) | − | 133.301i | − | 0.200755i | ||||||
\(665\) | 111.713 | + | 69.8948i | 0.167989 | + | 0.105105i | ||||
\(666\) | −60.5791 | + | 60.5791i | −0.0909597 | + | 0.0909597i | ||||
\(667\) | −47.9669 | − | 47.9669i | −0.0719143 | − | 0.0719143i | ||||
\(668\) | 391.584i | 0.586204i | ||||||||
\(669\) | 66.2440 | − | 66.2440i | 0.0990195 | − | 0.0990195i | ||||
\(670\) | −343.890 | + | 549.638i | −0.513268 | + | 0.820356i | ||||
\(671\) | 144.823i | 0.215831i | ||||||||
\(672\) | −36.7018 | + | 36.7018i | −0.0546157 | + | 0.0546157i | ||||
\(673\) | 698.260 | 1.03753 | 0.518767 | − | 0.854916i | \(-0.326391\pi\) | ||||
0.518767 | + | 0.854916i | \(0.326391\pi\) | |||||||
\(674\) | −159.768 | + | 159.768i | −0.237045 | + | 0.237045i | ||||
\(675\) | −386.553 | + | 187.987i | −0.572671 | + | 0.278499i | ||||
\(676\) | 328.064 | 0.485302 | ||||||||
\(677\) | 890.337 | 1.31512 | 0.657560 | − | 0.753402i | \(-0.271588\pi\) | ||||
0.657560 | + | 0.753402i | \(0.271588\pi\) | |||||||
\(678\) | 623.399 | + | 623.399i | 0.919467 | + | 0.919467i | ||||
\(679\) | 361.440i | 0.532312i | ||||||||
\(680\) | 97.0299 | − | 219.966i | 0.142691 | − | 0.323480i | ||||
\(681\) | 872.300 | 1.28091 | ||||||||
\(682\) | 71.3157 | − | 71.3157i | 0.104568 | − | 0.104568i | ||||
\(683\) | 534.965i | 0.783258i | 0.920123 | + | 0.391629i | \(0.128088\pi\) | ||||
−0.920123 | + | 0.391629i | \(0.871912\pi\) | |||||||
\(684\) | 89.6572i | 0.131078i | ||||||||
\(685\) | −873.677 | + | 201.178i | −1.27544 | + | 0.293690i | ||||
\(686\) | 230.769 | + | 230.769i | 0.336398 | + | 0.336398i | ||||
\(687\) | − | 611.673i | − | 0.890354i | ||||||
\(688\) | −42.3370 | − | 42.3370i | −0.0615363 | − | 0.0615363i | ||||
\(689\) | −150.379 | −0.218257 | ||||||||
\(690\) | 71.9361 | − | 16.5644i | 0.104255 | − | 0.0240064i | ||||
\(691\) | −582.534 | − | 582.534i | −0.843030 | − | 0.843030i | 0.146222 | − | 0.989252i | \(-0.453289\pi\) |
−0.989252 | + | 0.146222i | \(0.953289\pi\) | |||||||
\(692\) | −153.299 | −0.221530 | ||||||||
\(693\) | 19.8376 | − | 19.8376i | 0.0286257 | − | 0.0286257i | ||||
\(694\) | −283.689 | − | 283.689i | −0.408774 | − | 0.408774i | ||||
\(695\) | 158.645 | − | 36.5304i | 0.228266 | − | 0.0525617i | ||||
\(696\) | −244.115 | −0.350740 | ||||||||
\(697\) | −854.170 | + | 123.543i | −1.22549 | + | 0.177249i | ||||
\(698\) | 95.7372 | − | 95.7372i | 0.137159 | − | 0.137159i | ||||
\(699\) | −336.987 | −0.482098 | ||||||||
\(700\) | −55.0531 | − | 113.204i | −0.0786473 | − | 0.161720i | ||||
\(701\) | −975.816 | −1.39203 | −0.696017 | − | 0.718025i | \(-0.745046\pi\) | ||||
−0.696017 | + | 0.718025i | \(0.745046\pi\) | |||||||
\(702\) | 54.1971 | 0.0772038 | ||||||||
\(703\) | 148.089 | 0.210653 | ||||||||
\(704\) | −14.7201 | + | 14.7201i | −0.0209093 | + | 0.0209093i | ||||
\(705\) | 349.063 | + | 1515.91i | 0.495125 | + | 2.15023i | ||||
\(706\) | 758.085i | 1.07378i | ||||||||
\(707\) | − | 91.5422i | − | 0.129480i | ||||||
\(708\) | 177.299 | 0.250423 | ||||||||
\(709\) | 701.131 | + | 701.131i | 0.988901 | + | 0.988901i | 0.999939 | − | 0.0110383i | \(-0.00351368\pi\) |
−0.0110383 | + | 0.999939i | \(0.503514\pi\) | |||||||
\(710\) | 84.9368 | + | 53.1420i | 0.119629 | + | 0.0748479i | ||||
\(711\) | 204.293 | − | 204.293i | 0.287331 | − | 0.287331i | ||||
\(712\) | −72.2827 | + | 72.2827i | −0.101521 | + | 0.101521i | ||||
\(713\) | −55.5108 | + | 55.5108i | −0.0778552 | + | 0.0778552i | ||||
\(714\) | 31.5768 | + | 218.321i | 0.0442252 | + | 0.305772i | ||||
\(715\) | −15.3818 | + | 24.5848i | −0.0215131 | + | 0.0343843i | ||||
\(716\) | 41.7809i | 0.0583532i | ||||||||
\(717\) | −6.32671 | −0.00882387 | ||||||||
\(718\) | −527.313 | + | 527.313i | −0.734419 | + | 0.734419i | ||||
\(719\) | −765.138 | − | 765.138i | −1.06417 | − | 1.06417i | −0.997795 | − | 0.0663752i | \(-0.978857\pi\) |
−0.0663752 | − | 0.997795i | \(-0.521143\pi\) | |||||||
\(720\) | 45.4271 | − | 72.6061i | 0.0630932 | − | 0.100842i | ||||
\(721\) | 140.443 | + | 140.443i | 0.194789 | + | 0.194789i | ||||
\(722\) | −251.414 | + | 251.414i | −0.348219 | + | 0.348219i | ||||
\(723\) | 101.969 | + | 101.969i | 0.141036 | + | 0.141036i | ||||
\(724\) | −51.2861 | + | 51.2861i | −0.0708372 | + | 0.0708372i | ||||
\(725\) | 193.390 | − | 559.565i | 0.266745 | − | 0.771814i | ||||
\(726\) | −416.305 | + | 416.305i | −0.573423 | + | 0.573423i | ||||
\(727\) | 427.059 | + | 427.059i | 0.587426 | + | 0.587426i | 0.936933 | − | 0.349508i | \(-0.113651\pi\) |
−0.349508 | + | 0.936933i | \(0.613651\pi\) | |||||||
\(728\) | 15.8719i | 0.0218021i | ||||||||
\(729\) | −130.576 | −0.179117 | ||||||||
\(730\) | 372.101 | − | 85.6821i | 0.509728 | − | 0.117373i | ||||
\(731\) | −251.842 | + | 36.4252i | −0.344517 | + | 0.0498292i | ||||
\(732\) | −286.848 | − | 286.848i | −0.391869 | − | 0.391869i | ||||
\(733\) | 835.348 | + | 835.348i | 1.13963 | + | 1.13963i | 0.988517 | + | 0.151112i | \(0.0482853\pi\) |
0.151112 | + | 0.988517i | \(0.451715\pi\) | |||||||
\(734\) | 269.563 | + | 269.563i | 0.367253 | + | 0.367253i | ||||
\(735\) | −659.036 | − | 412.336i | −0.896647 | − | 0.561001i | ||||
\(736\) | 11.4579 | − | 11.4579i | 0.0155678 | − | 0.0155678i | ||||
\(737\) | − | 238.596i | − | 0.323740i | ||||||
\(738\) | −307.457 | −0.416608 | ||||||||
\(739\) | −334.577 | −0.452743 | −0.226372 | − | 0.974041i | \(-0.572686\pi\) | ||||
−0.226372 | + | 0.974041i | \(0.572686\pi\) | |||||||
\(740\) | −119.925 | − | 75.0330i | −0.162061 | − | 0.101396i | ||||
\(741\) | 60.1303 | + | 60.1303i | 0.0811475 | + | 0.0811475i | ||||
\(742\) | 240.214i | 0.323738i | ||||||||
\(743\) | 1352.66i | 1.82054i | 0.414015 | + | 0.910270i | \(0.364126\pi\) | ||||
−0.414015 | + | 0.910270i | \(0.635874\pi\) | |||||||
\(744\) | 282.508i | 0.379714i | ||||||||
\(745\) | 457.665 | + | 286.345i | 0.614315 | + | 0.384356i | ||||
\(746\) | − | 806.338i | − | 1.08088i | ||||||
\(747\) | −142.709 | − | 142.709i | −0.191043 | − | 0.191043i | ||||
\(748\) | 12.6646 | + | 87.5629i | 0.0169313 | + | 0.117063i | ||||
\(749\) | − | 257.093i | − | 0.343249i | ||||||
\(750\) | 404.586 | + | 501.380i | 0.539449 | + | 0.668507i | ||||
\(751\) | −481.112 | + | 481.112i | −0.640629 | + | 0.640629i | −0.950710 | − | 0.310081i | \(-0.899644\pi\) |
0.310081 | + | 0.950710i | \(0.399644\pi\) | |||||||
\(752\) | 241.452 | + | 241.452i | 0.321080 | + | 0.321080i | ||||
\(753\) | 865.771i | 1.14976i | ||||||||
\(754\) | −52.7845 | + | 52.7845i | −0.0700060 | + | 0.0700060i | ||||
\(755\) | 319.891 | + | 200.145i | 0.423697 | + | 0.265092i | ||||
\(756\) | − | 86.5739i | − | 0.114516i | ||||||
\(757\) | −295.942 | + | 295.942i | −0.390940 | + | 0.390940i | −0.875022 | − | 0.484082i | \(-0.839154\pi\) |
0.484082 | + | 0.875022i | \(0.339154\pi\) | |||||||
\(758\) | 58.0454 | 0.0765771 | ||||||||
\(759\) | −19.2089 | + | 19.2089i | −0.0253082 | + | 0.0253082i | ||||
\(760\) | −144.269 | + | 33.2202i | −0.189828 | + | 0.0437108i | ||||
\(761\) | −384.390 | −0.505111 | −0.252556 | − | 0.967582i | \(-0.581271\pi\) | ||||
−0.252556 | + | 0.967582i | \(0.581271\pi\) | |||||||
\(762\) | 260.925 | 0.342421 | ||||||||
\(763\) | −340.487 | − | 340.487i | −0.446248 | − | 0.446248i | ||||
\(764\) | − | 687.076i | − | 0.899315i | ||||||
\(765\) | −131.613 | − | 339.369i | −0.172043 | − | 0.443619i | ||||
\(766\) | 786.259 | 1.02645 | ||||||||
\(767\) | 38.3371 | − | 38.3371i | 0.0499832 | − | 0.0499832i | ||||
\(768\) | − | 58.3118i | − | 0.0759269i | ||||||
\(769\) | − | 396.785i | − | 0.515975i | −0.966148 | − | 0.257987i | \(-0.916941\pi\) | ||
0.966148 | − | 0.257987i | \(-0.0830593\pi\) | |||||||
\(770\) | 39.2715 | + | 24.5708i | 0.0510019 | + | 0.0319101i | ||||
\(771\) | 339.384 | + | 339.384i | 0.440187 | + | 0.440187i | ||||
\(772\) | 401.447i | 0.520009i | ||||||||
\(773\) | 456.510 | + | 456.510i | 0.590570 | + | 0.590570i | 0.937785 | − | 0.347216i | \(-0.112873\pi\) |
−0.347216 | + | 0.937785i | \(0.612873\pi\) | |||||||
\(774\) | −90.6500 | −0.117119 | ||||||||
\(775\) | −647.570 | − | 223.806i | −0.835575 | − | 0.288781i | ||||
\(776\) | −287.128 | − | 287.128i | −0.370010 | − | 0.370010i | ||||
\(777\) | 129.799 | 0.167052 | ||||||||
\(778\) | −326.044 | + | 326.044i | −0.419080 | + | 0.419080i | ||||
\(779\) | 375.797 | + | 375.797i | 0.482410 | + | 0.482410i | ||||
\(780\) | −18.2281 | − | 79.1612i | −0.0233694 | − | 0.101489i | ||||
\(781\) | −36.8708 | −0.0472097 | ||||||||
\(782\) | −9.85792 | − | 68.1573i | −0.0126060 | − | 0.0871577i | ||||
\(783\) | 287.915 | − | 287.915i | 0.367707 | − | 0.367707i | ||||
\(784\) | −170.646 | −0.217661 | ||||||||
\(785\) | 1034.70 | − | 238.255i | 1.31808 | − | 0.303509i | ||||
\(786\) | 308.185 | 0.392092 | ||||||||
\(787\) | 977.913 | 1.24258 | 0.621292 | − | 0.783579i | \(-0.286608\pi\) | ||||
0.621292 | + | 0.783579i | \(0.286608\pi\) | |||||||
\(788\) | 735.890 | 0.933871 | ||||||||
\(789\) | −1168.58 | + | 1168.58i | −1.48109 | + | 1.48109i | ||||
\(790\) | 404.427 | + | 253.036i | 0.511933 | + | 0.320299i | ||||
\(791\) | − | 430.645i | − | 0.544431i | ||||||
\(792\) | 31.5181i | 0.0397955i | ||||||||
\(793\) | −124.049 | −0.156430 | ||||||||
\(794\) | −222.136 | − | 222.136i | −0.279768 | − | 0.279768i | ||||
\(795\) | −275.873 | − | 1198.06i | −0.347010 | − | 1.50700i | ||||
\(796\) | 528.243 | − | 528.243i | 0.663622 | − | 0.663622i | ||||
\(797\) | 447.266 | − | 447.266i | 0.561187 | − | 0.561187i | −0.368458 | − | 0.929644i | \(-0.620114\pi\) |
0.929644 | + | 0.368458i | \(0.120114\pi\) | |||||||
\(798\) | 96.0516 | − | 96.0516i | 0.120365 | − | 0.120365i | ||||
\(799\) | 1436.28 | − | 207.737i | 1.79760 | − | 0.259996i | ||||
\(800\) | 133.664 | + | 46.1953i | 0.167080 | + | 0.0577441i | ||||
\(801\) | 154.768i | 0.193219i | ||||||||
\(802\) | 336.826 | 0.419982 | ||||||||
\(803\) | −99.3611 | + | 99.3611i | −0.123737 | + | 0.123737i | ||||
\(804\) | 472.584 | + | 472.584i | 0.587790 | + | 0.587790i | ||||
\(805\) | −30.5682 | − | 19.1255i | −0.0379729 | − | 0.0237583i | ||||
\(806\) | 61.0862 | + | 61.0862i | 0.0757893 | + | 0.0757893i | ||||
\(807\) | −708.728 | + | 708.728i | −0.878226 | + | 0.878226i | ||||
\(808\) | 72.7211 | + | 72.7211i | 0.0900014 | + | 0.0900014i | ||||
\(809\) | 638.195 | − | 638.195i | 0.788869 | − | 0.788869i | −0.192440 | − | 0.981309i | \(-0.561640\pi\) |
0.981309 | + | 0.192440i | \(0.0616400\pi\) | |||||||
\(810\) | 160.578 | + | 697.361i | 0.198245 | + | 0.860940i | ||||
\(811\) | −234.284 | + | 234.284i | −0.288882 | + | 0.288882i | −0.836638 | − | 0.547756i | \(-0.815482\pi\) |
0.547756 | + | 0.836638i | \(0.315482\pi\) | |||||||
\(812\) | 84.3175 | + | 84.3175i | 0.103839 | + | 0.103839i | ||||
\(813\) | − | 512.735i | − | 0.630670i | ||||||
\(814\) | 52.0591 | 0.0639547 | ||||||||
\(815\) | 484.411 | − | 774.234i | 0.594370 | − | 0.949981i | ||||
\(816\) | −198.519 | − | 148.350i | −0.243283 | − | 0.181801i | ||||
\(817\) | 110.799 | + | 110.799i | 0.135617 | + | 0.135617i | ||||
\(818\) | −213.459 | − | 213.459i | −0.260952 | − | 0.260952i | ||||
\(819\) | 16.9921 | + | 16.9921i | 0.0207474 | + | 0.0207474i | ||||
\(820\) | −113.920 | − | 494.735i | −0.138927 | − | 0.603335i | ||||
\(821\) | 351.453 | − | 351.453i | 0.428079 | − | 0.428079i | −0.459894 | − | 0.887974i | \(-0.652113\pi\) |
0.887974 | + | 0.459894i | \(0.152113\pi\) | |||||||
\(822\) | 924.169i | 1.12429i | ||||||||
\(823\) | −354.346 | −0.430554 | −0.215277 | − | 0.976553i | \(-0.569065\pi\) | ||||
−0.215277 | + | 0.976553i | \(0.569065\pi\) | |||||||
\(824\) | −223.135 | −0.270795 | ||||||||
\(825\) | −224.085 | − | 77.4455i | −0.271618 | − | 0.0938733i | ||||
\(826\) | −61.2393 | − | 61.2393i | −0.0741396 | − | 0.0741396i | ||||
\(827\) | − | 382.794i | − | 0.462871i | −0.972850 | − | 0.231436i | \(-0.925658\pi\) | ||
0.972850 | − | 0.231436i | \(-0.0743422\pi\) | |||||||
\(828\) | − | 24.5331i | − | 0.0296293i | ||||||
\(829\) | − | 84.7448i | − | 0.102225i | −0.998693 | − | 0.0511126i | \(-0.983723\pi\) | ||
0.998693 | − | 0.0511126i | \(-0.0162768\pi\) | |||||||
\(830\) | 176.759 | − | 282.513i | 0.212962 | − | 0.340378i | ||||
\(831\) | − | 696.726i | − | 0.838418i | ||||||
\(832\) | −12.6087 | − | 12.6087i | −0.0151547 | − | 0.0151547i | ||||
\(833\) | −434.137 | + | 580.955i | −0.521173 | + | 0.697424i | ||||
\(834\) | − | 167.813i | − | 0.201215i | ||||||
\(835\) | −519.245 | + | 829.909i | −0.621850 | + | 0.993903i | ||||
\(836\) | 38.5238 | − | 38.5238i | 0.0460811 | − | 0.0460811i | ||||
\(837\) | −333.196 | − | 333.196i | −0.398084 | − | 0.398084i | ||||
\(838\) | − | 749.767i | − | 0.894710i | ||||||
\(839\) | 277.619 | − | 277.619i | 0.330892 | − | 0.330892i | −0.522033 | − | 0.852925i | \(-0.674826\pi\) |
0.852925 | + | 0.522033i | \(0.174826\pi\) | |||||||
\(840\) | −126.451 | + | 29.1174i | −0.150537 | + | 0.0346636i | ||||
\(841\) | − | 280.179i | − | 0.333150i | ||||||
\(842\) | −605.275 | + | 605.275i | −0.718854 | + | 0.718854i | ||||
\(843\) | −1973.56 | −2.34111 | ||||||||
\(844\) | 143.720 | − | 143.720i | 0.170284 | − | 0.170284i | ||||
\(845\) | 695.286 | + | 435.016i | 0.822824 | + | 0.514812i | ||||
\(846\) | 516.987 | 0.611095 | ||||||||
\(847\) | 287.585 | 0.339533 | ||||||||
\(848\) | −190.826 | − | 190.826i | −0.225031 | − | 0.225031i | ||||
\(849\) | 1797.88i | 2.11764i | ||||||||
\(850\) | 497.319 | − | 337.525i | 0.585082 | − | 0.397089i | ||||
\(851\) | −40.5219 | −0.0476168 | ||||||||
\(852\) | 73.0294 | − | 73.0294i | 0.0857152 | − | 0.0857152i | ||||
\(853\) | − | 628.367i | − | 0.736655i | −0.929696 | − | 0.368328i | \(-0.879930\pi\) | ||
0.929696 | − | 0.368328i | \(-0.120070\pi\) | |||||||
\(854\) | 198.155i | 0.232032i | ||||||||
\(855\) | −118.886 | + | 190.016i | −0.139048 | + | 0.222241i | ||||
\(856\) | 204.235 | + | 204.235i | 0.238592 | + | 0.238592i | ||||
\(857\) | − | 1006.94i | − | 1.17496i | −0.809240 | − | 0.587478i | \(-0.800121\pi\) | ||
0.809240 | − | 0.587478i | \(-0.199879\pi\) | |||||||
\(858\) | 21.1382 | + | 21.1382i | 0.0246366 | + | 0.0246366i | ||||
\(859\) | 421.287 | 0.490439 | 0.245219 | − | 0.969468i | \(-0.421140\pi\) | ||||
0.245219 | + | 0.969468i | \(0.421140\pi\) | |||||||
\(860\) | −33.5881 | − | 145.867i | −0.0390559 | − | 0.169612i | ||||
\(861\) | 329.384 | + | 329.384i | 0.382560 | + | 0.382560i | ||||
\(862\) | 963.570 | 1.11783 | ||||||||
\(863\) | −222.829 | + | 222.829i | −0.258203 | + | 0.258203i | −0.824323 | − | 0.566120i | \(-0.808444\pi\) |
0.566120 | + | 0.824323i | \(0.308444\pi\) | |||||||
\(864\) | 68.7743 | + | 68.7743i | 0.0795999 | + | 0.0795999i | ||||
\(865\) | −324.895 | − | 203.276i | −0.375602 | − | 0.235001i | ||||
\(866\) | −491.872 | −0.567982 | ||||||||
\(867\) | −1010.09 | + | 298.433i | −1.16504 | + | 0.344213i | ||||
\(868\) | 97.5784 | − | 97.5784i | 0.112418 | − | 0.112418i | ||||
\(869\) | −175.560 | −0.202026 | ||||||||
\(870\) | −517.367 | − | 323.699i | −0.594675 | − | 0.372068i | ||||
\(871\) | 204.372 | 0.234641 | ||||||||
\(872\) | 540.966 | 0.620374 | ||||||||
\(873\) | −614.785 | −0.704221 | ||||||||
\(874\) | −29.9862 | + | 29.9862i | −0.0343092 | + | 0.0343092i | ||||
\(875\) | 33.4326 | − | 312.922i | 0.0382087 | − | 0.357625i | ||||
\(876\) | − | 393.606i | − | 0.449322i | ||||||
\(877\) | 1500.39i | 1.71082i | 0.517950 | + | 0.855411i | \(0.326695\pi\) | ||||
−0.517950 | + | 0.855411i | \(0.673305\pi\) | |||||||
\(878\) | −200.353 | −0.228193 | ||||||||
\(879\) | −236.010 | − | 236.010i | −0.268499 | − | 0.268499i | ||||
\(880\) | −50.7163 | + | 11.6782i | −0.0576322 | + | 0.0132707i | ||||
\(881\) | 606.925 | − | 606.925i | 0.688905 | − | 0.688905i | −0.273085 | − | 0.961990i | \(-0.588044\pi\) |
0.961990 | + | 0.273085i | \(0.0880440\pi\) | |||||||
\(882\) | −182.690 | + | 182.690i | −0.207131 | + | 0.207131i | ||||
\(883\) | 108.618 | − | 108.618i | 0.123011 | − | 0.123011i | −0.642921 | − | 0.765932i | \(-0.722278\pi\) |
0.765932 | + | 0.642921i | \(0.222278\pi\) | |||||||
\(884\) | −75.0028 | + | 10.8480i | −0.0848448 | + | 0.0122715i | ||||
\(885\) | 375.761 | + | 235.101i | 0.424589 | + | 0.265650i | ||||
\(886\) | 1066.19i | 1.20338i | ||||||||
\(887\) | −904.123 | −1.01930 | −0.509652 | − | 0.860381i | \(-0.670226\pi\) | ||||
−0.509652 | + | 0.860381i | \(0.670226\pi\) | |||||||
\(888\) | −103.113 | + | 103.113i | −0.116118 | + | 0.116118i | ||||
\(889\) | −90.1236 | − | 90.1236i | −0.101376 | − | 0.101376i | ||||
\(890\) | −249.041 | + | 57.3455i | −0.279821 | + | 0.0644332i | ||||
\(891\) | −186.214 | − | 186.214i | −0.208995 | − | 0.208995i | ||||
\(892\) | 36.3530 | − | 36.3530i | 0.0407545 | − | 0.0407545i | ||||
\(893\) | −631.901 | − | 631.901i | −0.707616 | − | 0.707616i | ||||
\(894\) | 393.504 | − | 393.504i | 0.440161 | − | 0.440161i | ||||
\(895\) | −55.4020 | + | 88.5489i | −0.0619016 | + | 0.0989373i | ||||
\(896\) | −20.1410 | + | 20.1410i | −0.0224788 | + | 0.0224788i | ||||
\(897\) | −16.4536 | − | 16.4536i | −0.0183429 | − | 0.0183429i | ||||
\(898\) | − | 177.741i | − | 0.197930i | ||||||
\(899\) | 649.024 | 0.721939 | ||||||||
\(900\) | 192.553 | − | 93.6417i | 0.213948 | − | 0.104046i | ||||
\(901\) | −1135.13 | + | 164.179i | −1.25986 | + | 0.182219i | ||||
\(902\) | 132.108 | + | 132.108i | 0.146461 | + | 0.146461i | ||||
\(903\) | 97.1152 | + | 97.1152i | 0.107547 | + | 0.107547i | ||||
\(904\) | 342.105 | + | 342.105i | 0.378434 | + | 0.378434i | ||||
\(905\) | −176.700 | + | 40.6879i | −0.195248 | + | 0.0449590i | ||||
\(906\) | 275.045 | − | 275.045i | 0.303582 | − | 0.303582i | ||||
\(907\) | 813.684i | 0.897116i | 0.893754 | + | 0.448558i | \(0.148062\pi\) | ||||
−0.893754 | + | 0.448558i | \(0.851938\pi\) | |||||||
\(908\) | 478.695 | 0.527197 | ||||||||
\(909\) | 155.707 | 0.171295 | ||||||||
\(910\) | −21.0464 | + | 33.6384i | −0.0231279 | + | 0.0369652i | ||||
\(911\) | −948.907 | − | 948.907i | −1.04161 | − | 1.04161i | −0.999096 | − | 0.0425140i | \(-0.986463\pi\) |
−0.0425140 | − | 0.999096i | \(-0.513537\pi\) | |||||||
\(912\) | 152.607i | 0.167332i | ||||||||
\(913\) | 122.638i | 0.134324i | ||||||||
\(914\) | − | 483.756i | − | 0.529274i | ||||||
\(915\) | −227.571 | − | 988.298i | −0.248711 | − | 1.08011i | ||||
\(916\) | − | 335.670i | − | 0.366452i | ||||||
\(917\) | −106.447 | − | 106.447i | −0.116082 | − | 0.116082i | ||||
\(918\) | 409.105 | − | 59.1709i | 0.445648 | − | 0.0644563i | ||||
\(919\) | − | 781.247i | − | 0.850105i | −0.905169 | − | 0.425053i | \(-0.860256\pi\) | ||
0.905169 | − | 0.425053i | \(-0.139744\pi\) | |||||||
\(920\) | 39.4767 | − | 9.09012i | 0.0429094 | − | 0.00988056i | ||||
\(921\) | −1495.84 | + | 1495.84i | −1.62415 | + | 1.62415i | ||||
\(922\) | −487.235 | − | 487.235i | −0.528455 | − | 0.528455i | ||||
\(923\) | − | 31.5820i | − | 0.0342167i | ||||||
\(924\) | 33.7659 | − | 33.7659i | 0.0365432 | − | 0.0365432i | ||||
\(925\) | −154.670 | − | 318.044i | −0.167211 | − | 0.343832i | ||||
\(926\) | − | 788.812i | − | 0.851849i | ||||||
\(927\) | −238.884 | + | 238.884i | −0.257695 | + | 0.257695i | ||||
\(928\) | −133.964 | −0.144357 | ||||||||
\(929\) | −133.019 | + | 133.019i | −0.143185 | + | 0.143185i | −0.775066 | − | 0.631881i | \(-0.782283\pi\) |
0.631881 | + | 0.775066i | \(0.282283\pi\) | |||||||
\(930\) | −374.608 | + | 598.736i | −0.402804 | + | 0.643802i | ||||
\(931\) | 446.595 | 0.479694 | ||||||||
\(932\) | −184.929 | −0.198422 | ||||||||
\(933\) | −1177.85 | − | 1177.85i | −1.26243 | − | 1.26243i | ||||
\(934\) | 295.508i | 0.316390i | ||||||||
\(935\) | −89.2684 | + | 202.371i | −0.0954742 | + | 0.216439i | ||||
\(936\) | −26.9971 | −0.0288431 | ||||||||
\(937\) | −560.333 | + | 560.333i | −0.598008 | + | 0.598008i | −0.939782 | − | 0.341774i | \(-0.888972\pi\) |
0.341774 | + | 0.939782i | \(0.388972\pi\) | |||||||
\(938\) | − | 326.462i | − | 0.348040i | ||||||
\(939\) | − | 1168.08i | − | 1.24396i | ||||||
\(940\) | 191.556 | + | 831.894i | 0.203783 | + | 0.884993i | ||||
\(941\) | 424.440 | + | 424.440i | 0.451052 | + | 0.451052i | 0.895704 | − | 0.444652i | \(-0.146672\pi\) |
−0.444652 | + | 0.895704i | \(0.646672\pi\) | |||||||
\(942\) | − | 1094.49i | − | 1.16188i | ||||||
\(943\) | −102.830 | − | 102.830i | −0.109046 | − | 0.109046i | ||||
\(944\) | 97.2971 | 0.103069 | ||||||||
\(945\) | 114.798 | − | 183.481i | 0.121479 | − | 0.194160i | ||||
\(946\) | 38.9504 | + | 38.9504i | 0.0411738 | + | 0.0411738i | ||||
\(947\) | −1480.38 | −1.56324 | −0.781618 | − | 0.623757i | \(-0.785605\pi\) | ||||
−0.781618 | + | 0.623757i | \(0.785605\pi\) | |||||||
\(948\) | 347.730 | − | 347.730i | 0.366803 | − | 0.366803i | ||||
\(949\) | −85.1088 | − | 85.1088i | −0.0896826 | − | 0.0896826i | ||||
\(950\) | −349.809 | − | 120.897i | −0.368220 | − | 0.127260i | ||||
\(951\) | −943.994 | −0.992633 | ||||||||
\(952\) | 17.3285 | + | 119.809i | 0.0182022 | + | 0.125850i | ||||
\(953\) | 195.573 | − | 195.573i | 0.205218 | − | 0.205218i | −0.597013 | − | 0.802231i | \(-0.703646\pi\) |
0.802231 | + | 0.597013i | \(0.203646\pi\) | |||||||
\(954\) | −408.587 | −0.428289 | ||||||||
\(955\) | 911.071 | − | 1456.16i | 0.954001 | − | 1.52478i | ||||
\(956\) | −3.47193 | −0.00363173 | ||||||||
\(957\) | 224.588 | 0.234679 | ||||||||
\(958\) | 90.2570 | 0.0942140 | ||||||||
\(959\) | 319.209 | − | 319.209i | 0.332856 | − | 0.332856i | ||||
\(960\) | 77.3221 | − | 123.584i | 0.0805439 | − | 0.128733i | ||||
\(961\) | 209.902i | 0.218420i | ||||||||
\(962\) | 44.5918i | 0.0463532i | ||||||||
\(963\) | 437.299 | 0.454100 | ||||||||
\(964\) | 55.9580 | + | 55.9580i | 0.0580478 | + | 0.0580478i | ||||
\(965\) | −532.323 | + | 850.811i | −0.551630 | + | 0.881670i | ||||
\(966\) | −26.2828 | + | 26.2828i | −0.0272078 | + | 0.0272078i | ||||
\(967\) | 4.45430 | − | 4.45430i | 0.00460631 | − | 0.00460631i | −0.704800 | − | 0.709406i | \(-0.748963\pi\) |
0.709406 | + | 0.704800i | \(0.248963\pi\) | |||||||
\(968\) | −228.457 | + | 228.457i | −0.236010 | + | 0.236010i | ||||
\(969\) | 519.540 | + | 388.243i | 0.536161 | + | 0.400664i | ||||
\(970\) | −227.793 | − | 989.263i | −0.234838 | − | 1.01986i | ||||
\(971\) | 648.849i | 0.668227i | 0.942533 | + | 0.334114i | \(0.108437\pi\) | ||||
−0.942533 | + | 0.334114i | \(0.891563\pi\) | |||||||
\(972\) | 428.179 | 0.440514 | ||||||||
\(973\) | −57.9628 | + | 57.9628i | −0.0595712 | + | 0.0595712i | ||||
\(974\) | −810.637 | − | 810.637i | −0.832276 | − | 0.832276i | ||||
\(975\) | 66.3367 | − | 191.942i | 0.0680376 | − | 0.196864i | ||||
\(976\) | −157.415 | − | 157.415i | −0.161285 | − | 0.161285i | ||||
\(977\) | 8.60532 | − | 8.60532i | 0.00880790 | − | 0.00880790i | −0.702689 | − | 0.711497i | \(-0.748018\pi\) |
0.711497 | + | 0.702689i | \(0.248018\pi\) | |||||||
\(978\) | −665.693 | − | 665.693i | −0.680668 | − | 0.680668i | ||||
\(979\) | 66.5006 | − | 66.5006i | 0.0679271 | − | 0.0679271i | ||||
\(980\) | −361.661 | − | 226.279i | −0.369042 | − | 0.230897i | ||||
\(981\) | 579.146 | − | 579.146i | 0.590363 | − | 0.590363i | ||||
\(982\) | 313.136 | + | 313.136i | 0.318876 | + | 0.318876i | ||||
\(983\) | − | 715.161i | − | 0.727529i | −0.931491 | − | 0.363765i | \(-0.881491\pi\) | ||
0.931491 | − | 0.363765i | \(-0.118509\pi\) | |||||||
\(984\) | −523.326 | −0.531836 | ||||||||
\(985\) | 1559.62 | + | 975.798i | 1.58337 | + | 0.990658i | ||||
\(986\) | −340.814 | + | 456.071i | −0.345653 | + | 0.462547i | ||||
\(987\) | −553.858 | − | 553.858i | −0.561153 | − | 0.561153i | ||||
\(988\) | 32.9979 | + | 32.9979i | 0.0333987 | + | 0.0333987i | ||||
\(989\) | −30.3183 | − | 30.3183i | −0.0306555 | − | 0.0306555i | ||||
\(990\) | −41.7933 | + | 66.7982i | −0.0422154 | + | 0.0674729i | ||||
\(991\) | 831.390 | − | 831.390i | 0.838941 | − | 0.838941i | −0.149779 | − | 0.988720i | \(-0.547856\pi\) |
0.988720 | + | 0.149779i | \(0.0478561\pi\) | |||||||
\(992\) | 155.033i | 0.156283i | ||||||||
\(993\) | −2266.25 | −2.28223 | ||||||||
\(994\) | −50.4488 | −0.0507534 | ||||||||
\(995\) | 1819.99 | − | 419.082i | 1.82914 | − | 0.421188i | ||||
\(996\) | −242.907 | − | 242.907i | −0.243883 | − | 0.243883i | ||||
\(997\) | 1365.27i | 1.36937i | 0.728837 | + | 0.684687i | \(0.240061\pi\) | ||||
−0.728837 | + | 0.684687i | \(0.759939\pi\) | |||||||
\(998\) | − | 460.309i | − | 0.461231i | ||||||
\(999\) | − | 243.227i | − | 0.243470i |
(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 | 170.3.e.b.157.2 | yes | 16 | |
5.3 | odd | 4 | 170.3.j.b.123.7 | yes | 16 | ||
17.13 | even | 4 | 170.3.j.b.47.7 | yes | 16 | ||
85.13 | odd | 4 | inner | 170.3.e.b.13.7 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.3.e.b.13.7 | ✓ | 16 | 85.13 | odd | 4 | inner | |
170.3.e.b.157.2 | yes | 16 | 1.1 | even | 1 | trivial | |
170.3.j.b.47.7 | yes | 16 | 17.13 | even | 4 | ||
170.3.j.b.123.7 | yes | 16 | 5.3 | odd | 4 |