Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 271.6 | ||
Character | \(\chi\) | \(=\) | 546.271 |
Dual form | 546.2.cg.b.409.6 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −1.08192 | − | 4.03777i | −0.483848 | − | 1.80575i | −0.585192 | − | 0.810895i | \(-0.698981\pi\) |
0.101343 | − | 0.994851i | \(-0.467686\pi\) | |||||||
\(6\) | 0.258819 | + | 0.965926i | 0.105662 | + | 0.394338i | ||||
\(7\) | −1.31184 | − | 2.29762i | −0.495830 | − | 0.868420i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 2.09010 | − | 3.62017i | 0.660949 | − | 1.14480i | ||||
\(11\) | −0.163915 | − | 0.611738i | −0.0494222 | − | 0.184446i | 0.936802 | − | 0.349860i | \(-0.113771\pi\) |
−0.986224 | + | 0.165414i | \(0.947104\pi\) | |||||||
\(12\) | −0.500000 | + | 0.866025i | −0.144338 | + | 0.250000i | ||||
\(13\) | −1.96448 | − | 3.02338i | −0.544848 | − | 0.838535i | ||||
\(14\) | 0.697052 | − | 2.55228i | 0.186295 | − | 0.682125i | ||||
\(15\) | 1.08192 | − | 4.03777i | 0.279350 | − | 1.04255i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 5.91724 | 1.43514 | 0.717570 | − | 0.696486i | \(-0.245254\pi\) | ||||
0.717570 | + | 0.696486i | \(0.245254\pi\) | |||||||
\(18\) | −0.258819 | + | 0.965926i | −0.0610042 | + | 0.227671i | ||||
\(19\) | 2.38683 | + | 0.639550i | 0.547577 | + | 0.146723i | 0.521993 | − | 0.852950i | \(-0.325189\pi\) |
0.0255840 | + | 0.999673i | \(0.491855\pi\) | |||||||
\(20\) | 4.03777 | − | 1.08192i | 0.902873 | − | 0.241924i | ||||
\(21\) | 0.0127227 | − | 2.64572i | 0.00277633 | − | 0.577344i | ||||
\(22\) | 0.316659 | − | 0.548469i | 0.0675119 | − | 0.116934i | ||||
\(23\) | − | 5.14888i | − | 1.07362i | −0.843704 | − | 0.536808i | \(-0.819630\pi\) | ||
0.843704 | − | 0.536808i | \(-0.180370\pi\) | |||||||
\(24\) | −0.965926 | + | 0.258819i | −0.197169 | + | 0.0528312i | ||||
\(25\) | −10.8029 | + | 6.23707i | −2.16059 | + | 1.24741i | ||||
\(26\) | 0.748759 | − | 3.52695i | 0.146844 | − | 0.691691i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 2.29762 | − | 1.31184i | 0.434210 | − | 0.247915i | ||||
\(29\) | −0.692966 | − | 1.20025i | −0.128681 | − | 0.222881i | 0.794485 | − | 0.607284i | \(-0.207741\pi\) |
−0.923166 | + | 0.384402i | \(0.874408\pi\) | |||||||
\(30\) | 3.62017 | − | 2.09010i | 0.660949 | − | 0.381599i | ||||
\(31\) | 5.35833 | + | 1.43576i | 0.962384 | + | 0.257870i | 0.705609 | − | 0.708601i | \(-0.250673\pi\) |
0.256775 | + | 0.966471i | \(0.417340\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 0.163915 | − | 0.611738i | 0.0285339 | − | 0.106490i | ||||
\(34\) | 4.18412 | + | 4.18412i | 0.717570 | + | 0.717570i | ||||
\(35\) | −7.85797 | + | 7.78276i | −1.32824 | + | 1.31553i | ||||
\(36\) | −0.866025 | + | 0.500000i | −0.144338 | + | 0.0833333i | ||||
\(37\) | −1.59342 | + | 1.59342i | −0.261957 | + | 0.261957i | −0.825849 | − | 0.563892i | \(-0.809304\pi\) |
0.563892 | + | 0.825849i | \(0.309304\pi\) | |||||||
\(38\) | 1.23551 | + | 2.13997i | 0.200427 | + | 0.347150i | ||||
\(39\) | −0.189595 | − | 3.60056i | −0.0303595 | − | 0.576551i | ||||
\(40\) | 3.62017 | + | 2.09010i | 0.572399 | + | 0.330475i | ||||
\(41\) | −1.22233 | − | 0.327523i | −0.190896 | − | 0.0511505i | 0.162104 | − | 0.986774i | \(-0.448172\pi\) |
−0.353000 | + | 0.935623i | \(0.614839\pi\) | |||||||
\(42\) | 1.87980 | − | 1.86181i | 0.290060 | − | 0.287284i | ||||
\(43\) | −2.40764 | − | 1.39005i | −0.367162 | − | 0.211981i | 0.305056 | − | 0.952334i | \(-0.401325\pi\) |
−0.672218 | + | 0.740353i | \(0.734658\pi\) | |||||||
\(44\) | 0.611738 | − | 0.163915i | 0.0922230 | − | 0.0247111i | ||||
\(45\) | 2.95585 | − | 2.95585i | 0.440633 | − | 0.440633i | ||||
\(46\) | 3.64081 | − | 3.64081i | 0.536808 | − | 0.536808i | ||||
\(47\) | 3.20911 | − | 0.859880i | 0.468097 | − | 0.125426i | −0.0170575 | − | 0.999855i | \(-0.505430\pi\) |
0.485155 | + | 0.874428i | \(0.338763\pi\) | |||||||
\(48\) | −0.866025 | − | 0.500000i | −0.125000 | − | 0.0721688i | ||||
\(49\) | −3.55814 | + | 6.02824i | −0.508306 | + | 0.861177i | ||||
\(50\) | −12.0491 | − | 3.22855i | −1.70400 | − | 0.456585i | ||||
\(51\) | 5.12448 | + | 2.95862i | 0.717570 | + | 0.414289i | ||||
\(52\) | 3.02338 | − | 1.96448i | 0.419268 | − | 0.272424i | ||||
\(53\) | 5.96016 | + | 10.3233i | 0.818690 | + | 1.41801i | 0.906647 | + | 0.421889i | \(0.138633\pi\) |
−0.0879571 | + | 0.996124i | \(0.528034\pi\) | |||||||
\(54\) | −0.707107 | + | 0.707107i | −0.0962250 | + | 0.0962250i | ||||
\(55\) | −2.29272 | + | 1.32370i | −0.309150 | + | 0.178488i | ||||
\(56\) | 2.55228 | + | 0.697052i | 0.341062 | + | 0.0931475i | ||||
\(57\) | 1.74728 | + | 1.74728i | 0.231433 | + | 0.231433i | ||||
\(58\) | 0.358706 | − | 1.33871i | 0.0471003 | − | 0.175781i | ||||
\(59\) | 8.53508 | + | 8.53508i | 1.11117 | + | 1.11117i | 0.992992 | + | 0.118181i | \(0.0377063\pi\) |
0.118181 | + | 0.992992i | \(0.462294\pi\) | |||||||
\(60\) | 4.03777 | + | 1.08192i | 0.521274 | + | 0.139675i | ||||
\(61\) | −10.7264 | + | 6.19287i | −1.37337 | + | 0.792916i | −0.991351 | − | 0.131239i | \(-0.958105\pi\) |
−0.382020 | + | 0.924154i | \(0.624771\pi\) | |||||||
\(62\) | 2.77367 | + | 4.80415i | 0.352257 | + | 0.610127i | ||||
\(63\) | 1.33388 | − | 2.28490i | 0.168053 | − | 0.287870i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −10.0823 | + | 11.2032i | −1.25056 | + | 1.38958i | ||||
\(66\) | 0.548469 | − | 0.316659i | 0.0675119 | − | 0.0389780i | ||||
\(67\) | −6.13532 | + | 1.64395i | −0.749548 | + | 0.200841i | −0.613318 | − | 0.789836i | \(-0.710165\pi\) |
−0.136231 | + | 0.990677i | \(0.543499\pi\) | |||||||
\(68\) | 5.91724i | 0.717570i | ||||||||
\(69\) | 2.57444 | − | 4.45906i | 0.309926 | − | 0.536808i | ||||
\(70\) | −11.0597 | − | 0.0531837i | −1.32188 | − | 0.00635667i | ||||
\(71\) | 14.8816 | − | 3.98751i | 1.76612 | − | 0.473231i | 0.778178 | − | 0.628044i | \(-0.216144\pi\) |
0.987944 | + | 0.154813i | \(0.0494776\pi\) | |||||||
\(72\) | −0.965926 | − | 0.258819i | −0.113835 | − | 0.0305021i | ||||
\(73\) | 2.14685 | − | 8.01215i | 0.251270 | − | 0.937752i | −0.718858 | − | 0.695157i | \(-0.755335\pi\) |
0.970128 | − | 0.242595i | \(-0.0779985\pi\) | |||||||
\(74\) | −2.25344 | −0.261957 | ||||||||
\(75\) | −12.4741 | −1.44039 | ||||||||
\(76\) | −0.639550 | + | 2.38683i | −0.0733614 | + | 0.273788i | ||||
\(77\) | −1.19051 | + | 1.17912i | −0.135672 | + | 0.134373i | ||||
\(78\) | 2.41192 | − | 2.68005i | 0.273096 | − | 0.303456i | ||||
\(79\) | −0.213699 | + | 0.370137i | −0.0240430 | + | 0.0416437i | −0.877797 | − | 0.479034i | \(-0.840987\pi\) |
0.853754 | + | 0.520677i | \(0.174321\pi\) | |||||||
\(80\) | 1.08192 | + | 4.03777i | 0.120962 | + | 0.451437i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −0.632726 | − | 1.09591i | −0.0698729 | − | 0.121023i | ||||
\(83\) | 5.72801 | − | 5.72801i | 0.628731 | − | 0.628731i | −0.319018 | − | 0.947749i | \(-0.603353\pi\) |
0.947749 | + | 0.319018i | \(0.103353\pi\) | |||||||
\(84\) | 2.64572 | + | 0.0127227i | 0.288672 | + | 0.00138817i | ||||
\(85\) | −6.40196 | − | 23.8925i | −0.694390 | − | 2.59150i | ||||
\(86\) | −0.719544 | − | 2.68538i | −0.0775904 | − | 0.289571i | ||||
\(87\) | − | 1.38593i | − | 0.148587i | ||||||
\(88\) | 0.548469 | + | 0.316659i | 0.0584670 | + | 0.0337560i | ||||
\(89\) | −1.18693 | − | 1.18693i | −0.125814 | − | 0.125814i | 0.641396 | − | 0.767210i | \(-0.278356\pi\) |
−0.767210 | + | 0.641396i | \(0.778356\pi\) | |||||||
\(90\) | 4.18021 | 0.440633 | ||||||||
\(91\) | −4.36951 | + | 8.47982i | −0.458049 | + | 0.888927i | ||||
\(92\) | 5.14888 | 0.536808 | ||||||||
\(93\) | 3.92257 | + | 3.92257i | 0.406751 | + | 0.406751i | ||||
\(94\) | 2.87721 | + | 1.66116i | 0.296762 | + | 0.171336i | ||||
\(95\) | − | 10.3294i | − | 1.05978i | ||||||
\(96\) | −0.258819 | − | 0.965926i | −0.0264156 | − | 0.0985844i | ||||
\(97\) | −1.95617 | − | 7.30052i | −0.198619 | − | 0.741256i | −0.991300 | − | 0.131620i | \(-0.957982\pi\) |
0.792681 | − | 0.609636i | \(-0.208684\pi\) | |||||||
\(98\) | −6.77859 | + | 1.74662i | −0.684741 | + | 0.176435i | ||||
\(99\) | 0.447823 | − | 0.447823i | 0.0450079 | − | 0.0450079i | ||||
\(100\) | −6.23707 | − | 10.8029i | −0.623707 | − | 1.08029i | ||||
\(101\) | 2.10015 | − | 3.63757i | 0.208973 | − | 0.361951i | −0.742418 | − | 0.669936i | \(-0.766321\pi\) |
0.951391 | + | 0.307985i | \(0.0996547\pi\) | |||||||
\(102\) | 1.53149 | + | 5.71561i | 0.151640 | + | 0.565930i | ||||
\(103\) | −0.712002 | + | 1.23322i | −0.0701556 | + | 0.121513i | −0.898969 | − | 0.438011i | \(-0.855683\pi\) |
0.828814 | + | 0.559525i | \(0.189016\pi\) | |||||||
\(104\) | 3.52695 | + | 0.748759i | 0.345846 | + | 0.0734219i | ||||
\(105\) | −10.6966 | + | 2.81108i | −1.04388 | + | 0.274333i | ||||
\(106\) | −3.08520 | + | 11.5141i | −0.299661 | + | 1.11835i | ||||
\(107\) | −10.9568 | −1.05923 | −0.529616 | − | 0.848237i | \(-0.677664\pi\) | ||||
−0.529616 | + | 0.848237i | \(0.677664\pi\) | |||||||
\(108\) | −1.00000 | −0.0962250 | ||||||||
\(109\) | −0.300729 | + | 1.12234i | −0.0288046 | + | 0.107500i | −0.978831 | − | 0.204668i | \(-0.934389\pi\) |
0.950027 | + | 0.312168i | \(0.101055\pi\) | |||||||
\(110\) | −2.55719 | − | 0.685198i | −0.243819 | − | 0.0653310i | ||||
\(111\) | −2.17666 | + | 0.583233i | −0.206599 | + | 0.0553581i | ||||
\(112\) | 1.31184 | + | 2.29762i | 0.123957 | + | 0.217105i | ||||
\(113\) | −8.19504 | + | 14.1942i | −0.770925 | + | 1.33528i | 0.166132 | + | 0.986104i | \(0.446872\pi\) |
−0.937057 | + | 0.349177i | \(0.886461\pi\) | |||||||
\(114\) | 2.47103i | 0.231433i | ||||||||
\(115\) | −20.7900 | + | 5.57067i | −1.93868 | + | 0.519467i | ||||
\(116\) | 1.20025 | − | 0.692966i | 0.111441 | − | 0.0643403i | ||||
\(117\) | 1.63609 | − | 3.21298i | 0.151256 | − | 0.297040i | ||||
\(118\) | 12.0704i | 1.11117i | ||||||||
\(119\) | −7.76248 | − | 13.5956i | −0.711586 | − | 1.24630i | ||||
\(120\) | 2.09010 | + | 3.62017i | 0.190800 | + | 0.330475i | ||||
\(121\) | 9.17892 | − | 5.29945i | 0.834448 | − | 0.481769i | ||||
\(122\) | −11.9637 | − | 3.20567i | −1.08314 | − | 0.290227i | ||||
\(123\) | −0.894810 | − | 0.894810i | −0.0806823 | − | 0.0806823i | ||||
\(124\) | −1.43576 | + | 5.35833i | −0.128935 | + | 0.481192i | ||||
\(125\) | 22.0925 | + | 22.0925i | 1.97601 | + | 1.97601i | ||||
\(126\) | 2.55886 | − | 0.672474i | 0.227962 | − | 0.0599087i | ||||
\(127\) | 15.9441 | − | 9.20531i | 1.41481 | − | 0.816839i | 0.418971 | − | 0.908000i | \(-0.362391\pi\) |
0.995836 | + | 0.0911603i | \(0.0290576\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | −1.39005 | − | 2.40764i | −0.122387 | − | 0.211981i | ||||
\(130\) | −15.0511 | + | 0.792548i | −1.32007 | + | 0.0695111i | ||||
\(131\) | 9.34579 | + | 5.39580i | 0.816546 | + | 0.471433i | 0.849224 | − | 0.528033i | \(-0.177070\pi\) |
−0.0326781 | + | 0.999466i | \(0.510404\pi\) | |||||||
\(132\) | 0.611738 | + | 0.163915i | 0.0532450 | + | 0.0142669i | ||||
\(133\) | −1.66170 | − | 6.32303i | −0.144088 | − | 0.548276i | ||||
\(134\) | −5.50077 | − | 3.17587i | −0.475195 | − | 0.274354i | ||||
\(135\) | 4.03777 | − | 1.08192i | 0.347516 | − | 0.0931166i | ||||
\(136\) | −4.18412 | + | 4.18412i | −0.358785 | + | 0.358785i | ||||
\(137\) | 10.5293 | − | 10.5293i | 0.899580 | − | 0.899580i | −0.0958184 | − | 0.995399i | \(-0.530547\pi\) |
0.995399 | + | 0.0958184i | \(0.0305468\pi\) | |||||||
\(138\) | 4.97344 | − | 1.33263i | 0.423367 | − | 0.113441i | ||||
\(139\) | 8.18822 | + | 4.72747i | 0.694516 | + | 0.400979i | 0.805302 | − | 0.592865i | \(-0.202003\pi\) |
−0.110786 | + | 0.993844i | \(0.535337\pi\) | |||||||
\(140\) | −7.78276 | − | 7.85797i | −0.657763 | − | 0.664120i | ||||
\(141\) | 3.20911 | + | 0.859880i | 0.270256 | + | 0.0724149i | ||||
\(142\) | 13.3425 | + | 7.70329i | 1.11968 | + | 0.646445i | ||||
\(143\) | −1.52751 | + | 1.69732i | −0.127737 | + | 0.141937i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −4.09661 | + | 4.09661i | −0.340205 | + | 0.340205i | ||||
\(146\) | 7.18350 | − | 4.14740i | 0.594511 | − | 0.343241i | ||||
\(147\) | −6.09556 | + | 3.44154i | −0.502753 | + | 0.283853i | ||||
\(148\) | −1.59342 | − | 1.59342i | −0.130979 | − | 0.130979i | ||||
\(149\) | −3.63073 | + | 13.5501i | −0.297441 | + | 1.11006i | 0.641819 | + | 0.766856i | \(0.278180\pi\) |
−0.939260 | + | 0.343207i | \(0.888487\pi\) | |||||||
\(150\) | −8.82055 | − | 8.82055i | −0.720195 | − | 0.720195i | ||||
\(151\) | −7.09882 | − | 1.90212i | −0.577694 | − | 0.154793i | −0.0418710 | − | 0.999123i | \(-0.513332\pi\) |
−0.535823 | + | 0.844330i | \(0.679999\pi\) | |||||||
\(152\) | −2.13997 | + | 1.23551i | −0.173575 | + | 0.100213i | ||||
\(153\) | 2.95862 | + | 5.12448i | 0.239190 | + | 0.414289i | ||||
\(154\) | −1.67558 | − | 0.00805754i | −0.135022 | − | 0.000649295i | ||||
\(155\) | − | 23.1891i | − | 1.86259i | ||||||
\(156\) | 3.60056 | − | 0.189595i | 0.288276 | − | 0.0151798i | ||||
\(157\) | −18.5419 | + | 10.7052i | −1.47980 | + | 0.854365i | −0.999738 | − | 0.0228679i | \(-0.992720\pi\) |
−0.480065 | + | 0.877233i | \(0.659387\pi\) | |||||||
\(158\) | −0.412834 | + | 0.110619i | −0.0328433 | + | 0.00880035i | ||||
\(159\) | 11.9203i | 0.945342i | ||||||||
\(160\) | −2.09010 | + | 3.62017i | −0.165237 | + | 0.286199i | ||||
\(161\) | −11.8302 | + | 6.75452i | −0.932350 | + | 0.532331i | ||||
\(162\) | −0.965926 | + | 0.258819i | −0.0758903 | + | 0.0203347i | ||||
\(163\) | 0.215258 | + | 0.0576783i | 0.0168603 | + | 0.00451771i | 0.267239 | − | 0.963630i | \(-0.413889\pi\) |
−0.250379 | + | 0.968148i | \(0.580555\pi\) | |||||||
\(164\) | 0.327523 | − | 1.22233i | 0.0255753 | − | 0.0954481i | ||||
\(165\) | −2.64740 | −0.206100 | ||||||||
\(166\) | 8.10063 | 0.628731 | ||||||||
\(167\) | 4.93109 | − | 18.4031i | 0.381579 | − | 1.42407i | −0.461909 | − | 0.886927i | \(-0.652835\pi\) |
0.843489 | − | 0.537147i | \(-0.180498\pi\) | |||||||
\(168\) | 1.86181 | + | 1.87980i | 0.143642 | + | 0.145030i | ||||
\(169\) | −5.28167 | + | 11.8787i | −0.406282 | + | 0.913748i | ||||
\(170\) | 12.3676 | − | 21.4214i | 0.948555 | − | 1.64295i | ||||
\(171\) | 0.639550 | + | 2.38683i | 0.0489076 | + | 0.182526i | ||||
\(172\) | 1.39005 | − | 2.40764i | 0.105991 | − | 0.183581i | ||||
\(173\) | 7.60190 | + | 13.1669i | 0.577962 | + | 1.00106i | 0.995713 | + | 0.0924977i | \(0.0294851\pi\) |
−0.417751 | + | 0.908562i | \(0.637182\pi\) | |||||||
\(174\) | 0.980002 | − | 0.980002i | 0.0742937 | − | 0.0742937i | ||||
\(175\) | 28.5022 | + | 16.6390i | 2.15456 | + | 1.25779i | ||||
\(176\) | 0.163915 | + | 0.611738i | 0.0123555 | + | 0.0461115i | ||||
\(177\) | 3.12406 | + | 11.6591i | 0.234818 | + | 0.876354i | ||||
\(178\) | − | 1.67857i | − | 0.125814i | ||||||
\(179\) | −18.0069 | − | 10.3963i | −1.34590 | − | 0.777054i | −0.358232 | − | 0.933633i | \(-0.616620\pi\) |
−0.987666 | + | 0.156579i | \(0.949954\pi\) | |||||||
\(180\) | 2.95585 | + | 2.95585i | 0.220316 | + | 0.220316i | ||||
\(181\) | 19.5707 | 1.45468 | 0.727340 | − | 0.686278i | \(-0.240757\pi\) | ||||
0.727340 | + | 0.686278i | \(0.240757\pi\) | |||||||
\(182\) | −9.08585 | + | 2.90643i | −0.673488 | + | 0.215439i | ||||
\(183\) | −12.3857 | −0.915580 | ||||||||
\(184\) | 3.64081 | + | 3.64081i | 0.268404 | + | 0.268404i | ||||
\(185\) | 8.15783 | + | 4.70993i | 0.599776 | + | 0.346281i | ||||
\(186\) | 5.54735i | 0.406751i | ||||||||
\(187\) | −0.969922 | − | 3.61980i | −0.0709278 | − | 0.264706i | ||||
\(188\) | 0.859880 | + | 3.20911i | 0.0627132 | + | 0.234049i | ||||
\(189\) | 2.29762 | − | 1.31184i | 0.167127 | − | 0.0954225i | ||||
\(190\) | 7.30400 | − | 7.30400i | 0.529888 | − | 0.529888i | ||||
\(191\) | −2.63634 | − | 4.56628i | −0.190759 | − | 0.330404i | 0.754743 | − | 0.656021i | \(-0.227762\pi\) |
−0.945502 | + | 0.325616i | \(0.894428\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | 3.53613 | + | 13.1970i | 0.254536 | + | 0.949943i | 0.968348 | + | 0.249605i | \(0.0803007\pi\) |
−0.713812 | + | 0.700338i | \(0.753033\pi\) | |||||||
\(194\) | 3.77903 | − | 6.54547i | 0.271319 | − | 0.469937i | ||||
\(195\) | −14.3331 | + | 4.66106i | −1.02642 | + | 0.333785i | ||||
\(196\) | −6.02824 | − | 3.55814i | −0.430588 | − | 0.254153i | ||||
\(197\) | 3.27692 | − | 12.2296i | 0.233471 | − | 0.871325i | −0.745362 | − | 0.666660i | \(-0.767723\pi\) |
0.978832 | − | 0.204664i | \(-0.0656102\pi\) | |||||||
\(198\) | 0.633318 | 0.0450079 | ||||||||
\(199\) | −5.99676 | −0.425099 | −0.212549 | − | 0.977150i | \(-0.568177\pi\) | ||||
−0.212549 | + | 0.977150i | \(0.568177\pi\) | |||||||
\(200\) | 3.22855 | − | 12.0491i | 0.228293 | − | 0.852000i | ||||
\(201\) | −6.13532 | − | 1.64395i | −0.432752 | − | 0.115956i | ||||
\(202\) | 4.05718 | − | 1.08712i | 0.285462 | − | 0.0764893i | ||||
\(203\) | −1.84866 | + | 3.16672i | −0.129751 | + | 0.222260i | ||||
\(204\) | −2.95862 | + | 5.12448i | −0.207145 | + | 0.358785i | ||||
\(205\) | 5.28985i | 0.369459i | ||||||||
\(206\) | −1.37548 | + | 0.368559i | −0.0958344 | + | 0.0256787i | ||||
\(207\) | 4.45906 | − | 2.57444i | 0.309926 | − | 0.178936i | ||||
\(208\) | 1.96448 | + | 3.02338i | 0.136212 | + | 0.209634i | ||||
\(209\) | − | 1.56495i | − | 0.108250i | ||||||
\(210\) | −9.55136 | − | 5.57589i | −0.659106 | − | 0.384773i | ||||
\(211\) | 10.5594 | + | 18.2895i | 0.726941 | + | 1.25910i | 0.958170 | + | 0.286199i | \(0.0923918\pi\) |
−0.231230 | + | 0.972899i | \(0.574275\pi\) | |||||||
\(212\) | −10.3233 | + | 5.96016i | −0.709007 | + | 0.409345i | ||||
\(213\) | 14.8816 | + | 3.98751i | 1.01967 | + | 0.273220i | ||||
\(214\) | −7.74762 | − | 7.74762i | −0.529616 | − | 0.529616i | ||||
\(215\) | −3.00784 | + | 11.2254i | −0.205133 | + | 0.765568i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | −3.73045 | − | 14.1949i | −0.253239 | − | 0.963613i | ||||
\(218\) | −1.00626 | + | 0.580963i | −0.0681524 | + | 0.0393478i | ||||
\(219\) | 5.86530 | − | 5.86530i | 0.396340 | − | 0.396340i | ||||
\(220\) | −1.32370 | − | 2.29272i | −0.0892439 | − | 0.154575i | ||||
\(221\) | −11.6243 | − | 17.8901i | −0.781933 | − | 1.20342i | ||||
\(222\) | −1.95154 | − | 1.12672i | −0.130979 | − | 0.0756205i | ||||
\(223\) | −18.8580 | − | 5.05298i | −1.26282 | − | 0.338373i | −0.435547 | − | 0.900166i | \(-0.643445\pi\) |
−0.827277 | + | 0.561794i | \(0.810112\pi\) | |||||||
\(224\) | −0.697052 | + | 2.55228i | −0.0465738 | + | 0.170531i | ||||
\(225\) | −10.8029 | − | 6.23707i | −0.720195 | − | 0.415805i | ||||
\(226\) | −15.8316 | + | 4.24207i | −1.05310 | + | 0.282178i | ||||
\(227\) | 14.2857 | − | 14.2857i | 0.948178 | − | 0.948178i | −0.0505434 | − | 0.998722i | \(-0.516095\pi\) |
0.998722 | + | 0.0505434i | \(0.0160953\pi\) | |||||||
\(228\) | −1.74728 | + | 1.74728i | −0.115717 | + | 0.115717i | ||||
\(229\) | −1.82487 | + | 0.488972i | −0.120591 | + | 0.0323122i | −0.318610 | − | 0.947886i | \(-0.603216\pi\) |
0.198019 | + | 0.980198i | \(0.436549\pi\) | |||||||
\(230\) | −18.6398 | − | 10.7617i | −1.22907 | − | 0.709606i | ||||
\(231\) | −1.62057 | + | 0.425890i | −0.106626 | + | 0.0280215i | ||||
\(232\) | 1.33871 | + | 0.358706i | 0.0878904 | + | 0.0235502i | ||||
\(233\) | 0.334379 | + | 0.193054i | 0.0219059 | + | 0.0126474i | 0.510913 | − | 0.859632i | \(-0.329307\pi\) |
−0.489007 | + | 0.872280i | \(0.662641\pi\) | |||||||
\(234\) | 3.42881 | − | 1.11503i | 0.224148 | − | 0.0728917i | ||||
\(235\) | −6.94400 | − | 12.0274i | −0.452976 | − | 0.784578i | ||||
\(236\) | −8.53508 | + | 8.53508i | −0.555586 | + | 0.555586i | ||||
\(237\) | −0.370137 | + | 0.213699i | −0.0240430 | + | 0.0138812i | ||||
\(238\) | 4.12462 | − | 15.1024i | 0.267360 | − | 0.978945i | ||||
\(239\) | 4.60738 | + | 4.60738i | 0.298027 | + | 0.298027i | 0.840241 | − | 0.542214i | \(-0.182414\pi\) |
−0.542214 | + | 0.840241i | \(0.682414\pi\) | |||||||
\(240\) | −1.08192 | + | 4.03777i | −0.0698375 | + | 0.260637i | ||||
\(241\) | 10.5802 | + | 10.5802i | 0.681530 | + | 0.681530i | 0.960345 | − | 0.278815i | \(-0.0899416\pi\) |
−0.278815 | + | 0.960345i | \(0.589942\pi\) | |||||||
\(242\) | 10.2378 | + | 2.74320i | 0.658108 | + | 0.176340i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | −6.19287 | − | 10.7264i | −0.396458 | − | 0.686685i | ||||
\(245\) | 28.1903 | + | 7.84490i | 1.80101 | + | 0.501192i | ||||
\(246\) | − | 1.26545i | − | 0.0806823i | ||||||
\(247\) | −2.75527 | − | 8.47268i | −0.175314 | − | 0.539104i | ||||
\(248\) | −4.80415 | + | 2.77367i | −0.305064 | + | 0.176129i | ||||
\(249\) | 7.82461 | − | 2.09660i | 0.495865 | − | 0.132867i | ||||
\(250\) | 31.2435i | 1.97601i | ||||||||
\(251\) | 7.83244 | − | 13.5662i | 0.494379 | − | 0.856290i | −0.505600 | − | 0.862768i | \(-0.668729\pi\) |
0.999979 | + | 0.00647817i | \(0.00206208\pi\) | |||||||
\(252\) | 2.28490 | + | 1.33388i | 0.143935 | + | 0.0840265i | ||||
\(253\) | −3.14977 | + | 0.843978i | −0.198024 | + | 0.0530604i | ||||
\(254\) | 17.7833 | + | 4.76502i | 1.11582 | + | 0.298984i | ||||
\(255\) | 6.40196 | − | 23.8925i | 0.400907 | − | 1.49620i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 28.6976 | 1.79011 | 0.895055 | − | 0.445956i | \(-0.147136\pi\) | ||||
0.895055 | + | 0.445956i | \(0.147136\pi\) | |||||||
\(258\) | 0.719544 | − | 2.68538i | 0.0447969 | − | 0.167184i | ||||
\(259\) | 5.75140 | + | 1.57077i | 0.357375 | + | 0.0976026i | ||||
\(260\) | −11.2032 | − | 10.0823i | −0.694790 | − | 0.625279i | ||||
\(261\) | 0.692966 | − | 1.20025i | 0.0428935 | − | 0.0742937i | ||||
\(262\) | 2.79307 | + | 10.4239i | 0.172556 | + | 0.643989i | ||||
\(263\) | −6.02517 | + | 10.4359i | −0.371528 | + | 0.643505i | −0.989801 | − | 0.142458i | \(-0.954499\pi\) |
0.618273 | + | 0.785963i | \(0.287833\pi\) | |||||||
\(264\) | 0.316659 | + | 0.548469i | 0.0194890 | + | 0.0337560i | ||||
\(265\) | 35.2347 | − | 35.2347i | 2.16445 | − | 2.16445i | ||||
\(266\) | 3.29605 | − | 5.64606i | 0.202094 | − | 0.346182i | ||||
\(267\) | −0.434447 | − | 1.62138i | −0.0265877 | − | 0.0992268i | ||||
\(268\) | −1.64395 | − | 6.13532i | −0.100420 | − | 0.374774i | ||||
\(269\) | − | 1.83319i | − | 0.111771i | −0.998437 | − | 0.0558857i | \(-0.982202\pi\) | ||
0.998437 | − | 0.0558857i | \(-0.0177983\pi\) | |||||||
\(270\) | 3.62017 | + | 2.09010i | 0.220316 | + | 0.127200i | ||||
\(271\) | −10.6003 | − | 10.6003i | −0.643924 | − | 0.643924i | 0.307594 | − | 0.951518i | \(-0.400476\pi\) |
−0.951518 | + | 0.307594i | \(0.900476\pi\) | |||||||
\(272\) | −5.91724 | −0.358785 | ||||||||
\(273\) | −8.02402 | + | 5.15899i | −0.485636 | + | 0.312236i | ||||
\(274\) | 14.8907 | 0.899580 | ||||||||
\(275\) | 5.58621 | + | 5.58621i | 0.336861 | + | 0.336861i | ||||
\(276\) | 4.45906 | + | 2.57444i | 0.268404 | + | 0.154963i | ||||
\(277\) | − | 5.82993i | − | 0.350287i | −0.984543 | − | 0.175143i | \(-0.943961\pi\) | ||
0.984543 | − | 0.175143i | \(-0.0560389\pi\) | |||||||
\(278\) | 2.44712 | + | 9.13277i | 0.146768 | + | 0.547747i | ||||
\(279\) | 1.43576 | + | 5.35833i | 0.0859567 | + | 0.320795i | ||||
\(280\) | 0.0531837 | − | 11.0597i | 0.00317834 | − | 0.660941i | ||||
\(281\) | −17.7789 | + | 17.7789i | −1.06060 | + | 1.06060i | −0.0625584 | + | 0.998041i | \(0.519926\pi\) |
−0.998041 | + | 0.0625584i | \(0.980074\pi\) | |||||||
\(282\) | 1.66116 | + | 2.87721i | 0.0989206 | + | 0.171336i | ||||
\(283\) | −6.89348 | + | 11.9399i | −0.409775 | + | 0.709751i | −0.994864 | − | 0.101218i | \(-0.967726\pi\) |
0.585089 | + | 0.810969i | \(0.301059\pi\) | |||||||
\(284\) | 3.98751 | + | 14.8816i | 0.236615 | + | 0.883061i | ||||
\(285\) | 5.16471 | − | 8.94554i | 0.305931 | − | 0.529888i | ||||
\(286\) | −2.28030 | + | 0.120074i | −0.134837 | + | 0.00710013i | ||||
\(287\) | 0.850983 | + | 3.23812i | 0.0502319 | + | 0.191140i | ||||
\(288\) | 0.258819 | − | 0.965926i | 0.0152511 | − | 0.0569177i | ||||
\(289\) | 18.0137 | 1.05963 | ||||||||
\(290\) | −5.79348 | −0.340205 | ||||||||
\(291\) | 1.95617 | − | 7.30052i | 0.114673 | − | 0.427964i | ||||
\(292\) | 8.01215 | + | 2.14685i | 0.468876 | + | 0.125635i | ||||
\(293\) | −3.06465 | + | 0.821170i | −0.179039 | + | 0.0479733i | −0.347224 | − | 0.937782i | \(-0.612876\pi\) |
0.168186 | + | 0.985755i | \(0.446209\pi\) | |||||||
\(294\) | −6.74374 | − | 1.87668i | −0.393303 | − | 0.109450i | ||||
\(295\) | 25.2285 | − | 43.6970i | 1.46886 | − | 2.54414i | ||||
\(296\) | − | 2.25344i | − | 0.130979i | ||||||
\(297\) | 0.611738 | − | 0.163915i | 0.0354966 | − | 0.00951130i | ||||
\(298\) | −12.1486 | + | 7.01402i | −0.703752 | + | 0.406311i | ||||
\(299\) | −15.5670 | + | 10.1149i | −0.900265 | + | 0.584957i | ||||
\(300\) | − | 12.4741i | − | 0.720195i | ||||||
\(301\) | −0.0353706 | + | 7.35538i | −0.00203873 | + | 0.423957i | ||||
\(302\) | −3.67462 | − | 6.36463i | −0.211451 | − | 0.366243i | ||||
\(303\) | 3.63757 | − | 2.10015i | 0.208973 | − | 0.120650i | ||||
\(304\) | −2.38683 | − | 0.639550i | −0.136894 | − | 0.0366807i | ||||
\(305\) | 36.6104 | + | 36.6104i | 2.09631 | + | 2.09631i | ||||
\(306\) | −1.53149 | + | 5.71561i | −0.0875497 | + | 0.326740i | ||||
\(307\) | 10.5351 | + | 10.5351i | 0.601271 | + | 0.601271i | 0.940650 | − | 0.339378i | \(-0.110217\pi\) |
−0.339378 | + | 0.940650i | \(0.610217\pi\) | |||||||
\(308\) | −1.17912 | − | 1.19051i | −0.0671865 | − | 0.0678358i | ||||
\(309\) | −1.23322 | + | 0.712002i | −0.0701556 | + | 0.0405044i | ||||
\(310\) | 16.3972 | − | 16.3972i | 0.931296 | − | 0.931296i | ||||
\(311\) | −16.6841 | − | 28.8977i | −0.946069 | − | 1.63864i | −0.753596 | − | 0.657338i | \(-0.771683\pi\) |
−0.192473 | − | 0.981302i | \(-0.561651\pi\) | |||||||
\(312\) | 2.68005 | + | 2.41192i | 0.151728 | + | 0.136548i | ||||
\(313\) | 1.72540 | + | 0.996161i | 0.0975254 | + | 0.0563063i | 0.547969 | − | 0.836498i | \(-0.315401\pi\) |
−0.450444 | + | 0.892805i | \(0.648734\pi\) | |||||||
\(314\) | −20.6808 | − | 5.54140i | −1.16708 | − | 0.312719i | ||||
\(315\) | −10.6691 | − | 2.91382i | −0.601133 | − | 0.164175i | ||||
\(316\) | −0.370137 | − | 0.213699i | −0.0208218 | − | 0.0120215i | ||||
\(317\) | −20.4735 | + | 5.48586i | −1.14991 | + | 0.308116i | −0.782927 | − | 0.622113i | \(-0.786274\pi\) |
−0.366979 | + | 0.930229i | \(0.619608\pi\) | |||||||
\(318\) | −8.42893 | + | 8.42893i | −0.472671 | + | 0.472671i | ||||
\(319\) | −0.620653 | + | 0.620653i | −0.0347499 | + | 0.0347499i | ||||
\(320\) | −4.03777 | + | 1.08192i | −0.225718 | + | 0.0604810i | ||||
\(321\) | −9.48886 | − | 5.47839i | −0.529616 | − | 0.305774i | ||||
\(322\) | −13.1414 | − | 3.58904i | −0.732340 | − | 0.200009i | ||||
\(323\) | 14.1234 | + | 3.78437i | 0.785850 | + | 0.210568i | ||||
\(324\) | −0.866025 | − | 0.500000i | −0.0481125 | − | 0.0277778i | ||||
\(325\) | 40.0791 | + | 20.4088i | 2.22319 | + | 1.13208i | ||||
\(326\) | 0.111426 | + | 0.192995i | 0.00617131 | + | 0.0106890i | ||||
\(327\) | −0.821606 | + | 0.821606i | −0.0454349 | + | 0.0454349i | ||||
\(328\) | 1.09591 | − | 0.632726i | 0.0605117 | − | 0.0349364i | ||||
\(329\) | −6.18553 | − | 6.24531i | −0.341019 | − | 0.344315i | ||||
\(330\) | −1.87200 | − | 1.87200i | −0.103050 | − | 0.103050i | ||||
\(331\) | 2.42975 | − | 9.06797i | 0.133551 | − | 0.498421i | −0.866448 | − | 0.499267i | \(-0.833603\pi\) |
1.00000 | 0.000846312i | \(0.000269389\pi\) | ||||||||
\(332\) | 5.72801 | + | 5.72801i | 0.314366 | + | 0.314366i | ||||
\(333\) | −2.17666 | − | 0.583233i | −0.119280 | − | 0.0319610i | ||||
\(334\) | 16.4998 | − | 9.52614i | 0.902827 | − | 0.521247i | ||||
\(335\) | 13.2758 | + | 22.9944i | 0.725335 | + | 1.25632i | ||||
\(336\) | −0.0127227 | + | 2.64572i | −0.000694083 | + | 0.144336i | ||||
\(337\) | − | 15.7627i | − | 0.858648i | −0.903151 | − | 0.429324i | \(-0.858752\pi\) | ||
0.903151 | − | 0.429324i | \(-0.141248\pi\) | |||||||
\(338\) | −12.1342 | + | 4.66482i | −0.660015 | + | 0.253733i | ||||
\(339\) | −14.1942 | + | 8.19504i | −0.770925 | + | 0.445094i | ||||
\(340\) | 23.8925 | − | 6.40196i | 1.29575 | − | 0.347195i | ||||
\(341\) | − | 3.51324i | − | 0.190252i | ||||||
\(342\) | −1.23551 | + | 2.13997i | −0.0668090 | + | 0.115717i | ||||
\(343\) | 18.5183 | + | 0.267169i | 0.999896 | + | 0.0144258i | ||||
\(344\) | 2.68538 | − | 0.719544i | 0.144786 | − | 0.0387952i | ||||
\(345\) | −20.7900 | − | 5.57067i | −1.11930 | − | 0.299915i | ||||
\(346\) | −3.93503 | + | 14.6857i | −0.211549 | + | 0.789510i | ||||
\(347\) | 6.89050 | 0.369902 | 0.184951 | − | 0.982748i | \(-0.440787\pi\) | ||||
0.184951 | + | 0.982748i | \(0.440787\pi\) | |||||||
\(348\) | 1.38593 | 0.0742937 | ||||||||
\(349\) | −5.86607 | + | 21.8925i | −0.314004 | + | 1.17188i | 0.610910 | + | 0.791700i | \(0.290804\pi\) |
−0.924913 | + | 0.380178i | \(0.875863\pi\) | |||||||
\(350\) | 8.38854 | + | 31.9196i | 0.448386 | + | 1.70618i | ||||
\(351\) | 3.02338 | − | 1.96448i | 0.161376 | − | 0.104856i | ||||
\(352\) | −0.316659 | + | 0.548469i | −0.0168780 | + | 0.0292335i | ||||
\(353\) | 0.240340 | + | 0.896962i | 0.0127920 | + | 0.0477405i | 0.972027 | − | 0.234870i | \(-0.0754664\pi\) |
−0.959235 | + | 0.282610i | \(0.908800\pi\) | |||||||
\(354\) | −6.03521 | + | 10.4533i | −0.320768 | + | 0.555586i | ||||
\(355\) | −32.2013 | − | 55.7744i | −1.70907 | − | 2.96020i | ||||
\(356\) | 1.18693 | − | 1.18693i | 0.0629072 | − | 0.0629072i | ||||
\(357\) | 0.0752835 | − | 15.6554i | 0.00398443 | − | 0.828569i | ||||
\(358\) | −5.38151 | − | 20.0841i | −0.284422 | − | 1.06148i | ||||
\(359\) | −1.68034 | − | 6.27110i | −0.0886847 | − | 0.330976i | 0.907302 | − | 0.420480i | \(-0.138138\pi\) |
−0.995986 | + | 0.0895044i | \(0.971472\pi\) | |||||||
\(360\) | 4.18021i | 0.220316i | ||||||||
\(361\) | −11.1665 | − | 6.44701i | −0.587713 | − | 0.339316i | ||||
\(362\) | 13.8386 | + | 13.8386i | 0.727340 | + | 0.727340i | ||||
\(363\) | 10.5989 | 0.556298 | ||||||||
\(364\) | −8.47982 | − | 4.36951i | −0.444464 | − | 0.229024i | ||||
\(365\) | −34.6740 | −1.81492 | ||||||||
\(366\) | −8.75804 | − | 8.75804i | −0.457790 | − | 0.457790i | ||||
\(367\) | 22.5233 | + | 13.0038i | 1.17571 | + | 0.678794i | 0.955017 | − | 0.296550i | \(-0.0958361\pi\) |
0.220689 | + | 0.975344i | \(0.429169\pi\) | |||||||
\(368\) | 5.14888i | 0.268404i | ||||||||
\(369\) | −0.327523 | − | 1.22233i | −0.0170502 | − | 0.0636321i | ||||
\(370\) | 2.43804 | + | 9.09888i | 0.126748 | + | 0.473028i | ||||
\(371\) | 15.9002 | − | 27.2367i | 0.825500 | − | 1.41406i | ||||
\(372\) | −3.92257 | + | 3.92257i | −0.203376 | + | 0.203376i | ||||
\(373\) | 12.8602 | + | 22.2745i | 0.665876 | + | 1.15333i | 0.979047 | + | 0.203634i | \(0.0652752\pi\) |
−0.313172 | + | 0.949697i | \(0.601391\pi\) | |||||||
\(374\) | 1.87375 | − | 3.24542i | 0.0968891 | − | 0.167817i | ||||
\(375\) | 8.08641 | + | 30.1789i | 0.417581 | + | 1.55843i | ||||
\(376\) | −1.66116 | + | 2.87721i | −0.0856678 | + | 0.148381i | ||||
\(377\) | −2.26751 | + | 4.45297i | −0.116782 | + | 0.229339i | ||||
\(378\) | 2.55228 | + | 0.697052i | 0.131275 | + | 0.0358525i | ||||
\(379\) | −7.60010 | + | 28.3640i | −0.390391 | + | 1.45696i | 0.439100 | + | 0.898438i | \(0.355297\pi\) |
−0.829491 | + | 0.558520i | \(0.811369\pi\) | |||||||
\(380\) | 10.3294 | 0.529888 | ||||||||
\(381\) | 18.4106 | 0.943205 | ||||||||
\(382\) | 1.36467 | − | 5.09302i | 0.0698226 | − | 0.260582i | ||||
\(383\) | −12.2027 | − | 3.26972i | −0.623531 | − | 0.167075i | −0.0667987 | − | 0.997766i | \(-0.521279\pi\) |
−0.556733 | + | 0.830692i | \(0.687945\pi\) | |||||||
\(384\) | 0.965926 | − | 0.258819i | 0.0492922 | − | 0.0132078i | ||||
\(385\) | 6.04905 | + | 3.53131i | 0.308288 | + | 0.179972i | ||||
\(386\) | −6.83128 | + | 11.8321i | −0.347703 | + | 0.602239i | ||||
\(387\) | − | 2.78010i | − | 0.141321i | ||||||
\(388\) | 7.30052 | − | 1.95617i | 0.370628 | − | 0.0993095i | ||||
\(389\) | −12.5800 | + | 7.26305i | −0.637830 | + | 0.368251i | −0.783778 | − | 0.621041i | \(-0.786710\pi\) |
0.145948 | + | 0.989292i | \(0.453377\pi\) | |||||||
\(390\) | −13.4309 | − | 6.83919i | −0.680101 | − | 0.346316i | ||||
\(391\) | − | 30.4672i | − | 1.54079i | ||||||
\(392\) | −1.74662 | − | 6.77859i | −0.0882177 | − | 0.342371i | ||||
\(393\) | 5.39580 | + | 9.34579i | 0.272182 | + | 0.471433i | ||||
\(394\) | 10.9648 | − | 6.33052i | 0.552398 | − | 0.318927i | ||||
\(395\) | 1.72573 | + | 0.462409i | 0.0868311 | + | 0.0232663i | ||||
\(396\) | 0.447823 | + | 0.447823i | 0.0225040 | + | 0.0225040i | ||||
\(397\) | −1.39851 | + | 5.21930i | −0.0701890 | + | 0.261949i | −0.992099 | − | 0.125454i | \(-0.959961\pi\) |
0.921910 | + | 0.387403i | \(0.126628\pi\) | |||||||
\(398\) | −4.24035 | − | 4.24035i | −0.212549 | − | 0.212549i | ||||
\(399\) | 1.72244 | − | 6.30675i | 0.0862297 | − | 0.315733i | ||||
\(400\) | 10.8029 | − | 6.23707i | 0.540146 | − | 0.311854i | ||||
\(401\) | −2.89768 | + | 2.89768i | −0.144703 | + | 0.144703i | −0.775747 | − | 0.631044i | \(-0.782627\pi\) |
0.631044 | + | 0.775747i | \(0.282627\pi\) | |||||||
\(402\) | −3.17587 | − | 5.50077i | −0.158398 | − | 0.274354i | ||||
\(403\) | −6.18546 | − | 19.0208i | −0.308120 | − | 0.947493i | ||||
\(404\) | 3.63757 | + | 2.10015i | 0.180976 | + | 0.104486i | ||||
\(405\) | 4.03777 | + | 1.08192i | 0.200638 | + | 0.0537609i | ||||
\(406\) | −3.54641 | + | 0.932003i | −0.176005 | + | 0.0462545i | ||||
\(407\) | 1.23594 | + | 0.713572i | 0.0612634 | + | 0.0353705i | ||||
\(408\) | −5.71561 | + | 1.53149i | −0.282965 | + | 0.0758202i | ||||
\(409\) | 0.0881259 | − | 0.0881259i | 0.00435754 | − | 0.00435754i | −0.704925 | − | 0.709282i | \(-0.749019\pi\) |
0.709282 | + | 0.704925i | \(0.249019\pi\) | |||||||
\(410\) | −3.74049 | + | 3.74049i | −0.184730 | + | 0.184730i | ||||
\(411\) | 14.3833 | − | 3.85400i | 0.709477 | − | 0.190104i | ||||
\(412\) | −1.23322 | − | 0.712002i | −0.0607566 | − | 0.0350778i | ||||
\(413\) | 8.41372 | − | 30.8071i | 0.414012 | − | 1.51592i | ||||
\(414\) | 4.97344 | + | 1.33263i | 0.244431 | + | 0.0654951i | ||||
\(415\) | −29.3256 | − | 16.9312i | −1.43954 | − | 0.831118i | ||||
\(416\) | −0.748759 | + | 3.52695i | −0.0367109 | + | 0.172923i | ||||
\(417\) | 4.72747 | + | 8.18822i | 0.231505 | + | 0.400979i | ||||
\(418\) | 1.10658 | − | 1.10658i | 0.0541248 | − | 0.0541248i | ||||
\(419\) | −3.80264 | + | 2.19546i | −0.185771 | + | 0.107255i | −0.590001 | − | 0.807402i | \(-0.700873\pi\) |
0.404230 | + | 0.914657i | \(0.367539\pi\) | |||||||
\(420\) | −2.81108 | − | 10.6966i | −0.137167 | − | 0.521940i | ||||
\(421\) | −22.1184 | − | 22.1184i | −1.07799 | − | 1.07799i | −0.996690 | − | 0.0812959i | \(-0.974094\pi\) |
−0.0812959 | − | 0.996690i | \(-0.525906\pi\) | |||||||
\(422\) | −5.46596 | + | 20.3992i | −0.266079 | + | 0.993019i | ||||
\(423\) | 2.34923 | + | 2.34923i | 0.114224 | + | 0.114224i | ||||
\(424\) | −11.5141 | − | 3.08520i | −0.559176 | − | 0.149831i | ||||
\(425\) | −63.9235 | + | 36.9062i | −3.10074 | + | 1.79022i | ||||
\(426\) | 7.70329 | + | 13.3425i | 0.373225 | + | 0.646445i | ||||
\(427\) | 28.3002 | + | 16.5211i | 1.36954 | + | 0.799511i | ||||
\(428\) | − | 10.9568i | − | 0.529616i | ||||||
\(429\) | −2.17152 | + | 0.706168i | −0.104842 | + | 0.0340941i | ||||
\(430\) | −10.0644 | + | 5.81071i | −0.485351 | + | 0.280217i | ||||
\(431\) | 11.0657 | − | 2.96504i | 0.533014 | − | 0.142821i | 0.0177345 | − | 0.999843i | \(-0.494355\pi\) |
0.515280 | + | 0.857022i | \(0.327688\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | −5.94636 | + | 10.2994i | −0.285764 | + | 0.494958i | −0.972794 | − | 0.231671i | \(-0.925581\pi\) |
0.687030 | + | 0.726629i | \(0.258914\pi\) | |||||||
\(434\) | 7.39949 | − | 12.6751i | 0.355187 | − | 0.608426i | ||||
\(435\) | −5.59608 | + | 1.49946i | −0.268311 | + | 0.0718938i | ||||
\(436\) | −1.12234 | − | 0.300729i | −0.0537501 | − | 0.0144023i | ||||
\(437\) | 3.29297 | − | 12.2895i | 0.157524 | − | 0.587887i | ||||
\(438\) | 8.29479 | 0.396340 | ||||||||
\(439\) | 8.61975 | 0.411398 | 0.205699 | − | 0.978615i | \(-0.434053\pi\) | ||||
0.205699 | + | 0.978615i | \(0.434053\pi\) | |||||||
\(440\) | 0.685198 | − | 2.55719i | 0.0326655 | − | 0.121909i | ||||
\(441\) | −6.99968 | − | 0.0673217i | −0.333318 | − | 0.00320579i | ||||
\(442\) | 4.43059 | − | 20.8698i | 0.210742 | − | 0.992675i | ||||
\(443\) | −4.22436 | + | 7.31680i | −0.200705 | + | 0.347632i | −0.948756 | − | 0.316010i | \(-0.897657\pi\) |
0.748051 | + | 0.663642i | \(0.230990\pi\) | |||||||
\(444\) | −0.583233 | − | 2.17666i | −0.0276790 | − | 0.103300i | ||||
\(445\) | −3.50840 | + | 6.07672i | −0.166314 | + | 0.288064i | ||||
\(446\) | −9.76161 | − | 16.9076i | −0.462226 | − | 0.800598i | ||||
\(447\) | −9.91933 | + | 9.91933i | −0.469168 | + | 0.469168i | ||||
\(448\) | −2.29762 | + | 1.31184i | −0.108552 | + | 0.0619787i | ||||
\(449\) | −2.32879 | − | 8.69115i | −0.109902 | − | 0.410161i | 0.888953 | − | 0.457999i | \(-0.151434\pi\) |
−0.998855 | + | 0.0478379i | \(0.984767\pi\) | |||||||
\(450\) | −3.22855 | − | 12.0491i | −0.152195 | − | 0.568000i | ||||
\(451\) | 0.801433i | 0.0377380i | ||||||||
\(452\) | −14.1942 | − | 8.19504i | −0.667640 | − | 0.385462i | ||||
\(453\) | −5.19670 | − | 5.19670i | −0.244162 | − | 0.244162i | ||||
\(454\) | 20.2031 | 0.948178 | ||||||||
\(455\) | 38.9670 | + | 8.46860i | 1.82680 | + | 0.397014i | ||||
\(456\) | −2.47103 | −0.115717 | ||||||||
\(457\) | −13.0992 | − | 13.0992i | −0.612755 | − | 0.612755i | 0.330908 | − | 0.943663i | \(-0.392645\pi\) |
−0.943663 | + | 0.330908i | \(0.892645\pi\) | |||||||
\(458\) | −1.63613 | − | 0.944621i | −0.0764514 | − | 0.0441392i | ||||
\(459\) | 5.91724i | 0.276193i | ||||||||
\(460\) | −5.57067 | − | 20.7900i | −0.259734 | − | 0.969340i | ||||
\(461\) | −10.7940 | − | 40.2836i | −0.502725 | − | 1.87620i | −0.481548 | − | 0.876420i | \(-0.659925\pi\) |
−0.0211769 | − | 0.999776i | \(-0.506741\pi\) | |||||||
\(462\) | −1.44707 | − | 0.844769i | −0.0673237 | − | 0.0393022i | ||||
\(463\) | −12.7149 | + | 12.7149i | −0.590912 | + | 0.590912i | −0.937878 | − | 0.346966i | \(-0.887212\pi\) |
0.346966 | + | 0.937878i | \(0.387212\pi\) | |||||||
\(464\) | 0.692966 | + | 1.20025i | 0.0321701 | + | 0.0557203i | ||||
\(465\) | 11.5945 | − | 20.0823i | 0.537684 | − | 0.931296i | ||||
\(466\) | 0.0999321 | + | 0.372952i | 0.00462927 | + | 0.0172767i | ||||
\(467\) | 0.419923 | − | 0.727328i | 0.0194317 | − | 0.0336567i | −0.856146 | − | 0.516734i | \(-0.827148\pi\) |
0.875578 | + | 0.483077i | \(0.160481\pi\) | |||||||
\(468\) | 3.21298 | + | 1.63609i | 0.148520 | + | 0.0756282i | ||||
\(469\) | 11.8258 | + | 11.9400i | 0.546062 | + | 0.551340i | ||||
\(470\) | 3.59448 | − | 13.4148i | 0.165801 | − | 0.618777i | ||||
\(471\) | −21.4103 | −0.986536 | ||||||||
\(472\) | −12.0704 | −0.555586 | ||||||||
\(473\) | −0.455700 | + | 1.70070i | −0.0209531 | + | 0.0781981i | ||||
\(474\) | −0.412834 | − | 0.110619i | −0.0189621 | − | 0.00508088i | ||||
\(475\) | −29.7737 | + | 7.97784i | −1.36611 | + | 0.366048i | ||||
\(476\) | 13.5956 | − | 7.76248i | 0.623152 | − | 0.355793i | ||||
\(477\) | −5.96016 | + | 10.3233i | −0.272897 | + | 0.472671i | ||||
\(478\) | 6.51583i | 0.298027i | ||||||||
\(479\) | −23.9856 | + | 6.42692i | −1.09593 | + | 0.293654i | −0.761106 | − | 0.648627i | \(-0.775343\pi\) |
−0.334824 | + | 0.942281i | \(0.608677\pi\) | |||||||
\(480\) | −3.62017 | + | 2.09010i | −0.165237 | + | 0.0953998i | ||||
\(481\) | 7.94777 | + | 1.68728i | 0.362387 | + | 0.0769335i | ||||
\(482\) | 14.9626i | 0.681530i | ||||||||
\(483\) | −13.6225 | − | 0.0655079i | −0.619846 | − | 0.00298071i | ||||
\(484\) | 5.29945 | + | 9.17892i | 0.240884 | + | 0.417224i | ||||
\(485\) | −27.3614 | + | 15.7971i | −1.24242 | + | 0.717311i | ||||
\(486\) | −0.965926 | − | 0.258819i | −0.0438153 | − | 0.0117403i | ||||
\(487\) | 26.5868 | + | 26.5868i | 1.20476 | + | 1.20476i | 0.972701 | + | 0.232061i | \(0.0745468\pi\) |
0.232061 | + | 0.972701i | \(0.425453\pi\) | |||||||
\(488\) | 3.20567 | − | 11.9637i | 0.145114 | − | 0.541572i | ||||
\(489\) | 0.157580 | + | 0.157580i | 0.00712601 | + | 0.00712601i | ||||
\(490\) | 14.3863 | + | 25.4807i | 0.649909 | + | 1.15110i | ||||
\(491\) | −20.0647 | + | 11.5844i | −0.905507 | + | 0.522795i | −0.878983 | − | 0.476853i | \(-0.841777\pi\) |
−0.0265243 | + | 0.999648i | \(0.508444\pi\) | |||||||
\(492\) | 0.894810 | − | 0.894810i | 0.0403411 | − | 0.0403411i | ||||
\(493\) | −4.10044 | − | 7.10218i | −0.184675 | − | 0.319866i | ||||
\(494\) | 4.04282 | − | 7.93936i | 0.181895 | − | 0.357209i | ||||
\(495\) | −2.29272 | − | 1.32370i | −0.103050 | − | 0.0594959i | ||||
\(496\) | −5.35833 | − | 1.43576i | −0.240596 | − | 0.0644675i | ||||
\(497\) | −28.6841 | − | 28.9613i | −1.28666 | − | 1.29909i | ||||
\(498\) | 7.01535 | + | 4.05032i | 0.314366 | + | 0.181499i | ||||
\(499\) | −19.1161 | + | 5.12214i | −0.855754 | + | 0.229299i | −0.659918 | − | 0.751338i | \(-0.729409\pi\) |
−0.195836 | + | 0.980637i | \(0.562742\pi\) | |||||||
\(500\) | −22.0925 | + | 22.0925i | −0.988006 | + | 0.988006i | ||||
\(501\) | 13.4720 | − | 13.4720i | 0.601884 | − | 0.601884i | ||||
\(502\) | 15.1311 | − | 4.05437i | 0.675335 | − | 0.180955i | ||||
\(503\) | −1.87260 | − | 1.08114i | −0.0834949 | − | 0.0482058i | 0.457671 | − | 0.889121i | \(-0.348684\pi\) |
−0.541166 | + | 0.840916i | \(0.682017\pi\) | |||||||
\(504\) | 0.672474 | + | 2.55886i | 0.0299544 | + | 0.113981i | ||||
\(505\) | −16.9599 | − | 4.54438i | −0.754704 | − | 0.202222i | ||||
\(506\) | −2.82400 | − | 1.63044i | −0.125542 | − | 0.0724819i | ||||
\(507\) | −10.5134 | + | 7.64644i | −0.466917 | + | 0.339590i | ||||
\(508\) | 9.20531 | + | 15.9441i | 0.408420 | + | 0.707404i | ||||
\(509\) | −18.5258 | + | 18.5258i | −0.821141 | + | 0.821141i | −0.986272 | − | 0.165130i | \(-0.947196\pi\) |
0.165130 | + | 0.986272i | \(0.447196\pi\) | |||||||
\(510\) | 21.4214 | − | 12.3676i | 0.948555 | − | 0.547649i | ||||
\(511\) | −21.2252 | + | 5.57803i | −0.938949 | + | 0.246757i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −0.639550 | + | 2.38683i | −0.0282368 | + | 0.105381i | ||||
\(514\) | 20.2923 | + | 20.2923i | 0.895055 | + | 0.895055i | ||||
\(515\) | 5.74980 | + | 1.54065i | 0.253367 | + | 0.0678894i | ||||
\(516\) | 2.40764 | − | 1.39005i | 0.105991 | − | 0.0611936i | ||||
\(517\) | −1.05204 | − | 1.82219i | −0.0462688 | − | 0.0801399i | ||||
\(518\) | 2.95616 | + | 5.17756i | 0.129886 | + | 0.227489i | ||||
\(519\) | 15.2038i | 0.667373i | ||||||||
\(520\) | −0.792548 | − | 15.0511i | −0.0347555 | − | 0.660035i | ||||
\(521\) | 6.95625 | − | 4.01619i | 0.304759 | − | 0.175952i | −0.339820 | − | 0.940490i | \(-0.610366\pi\) |
0.644579 | + | 0.764538i | \(0.277033\pi\) | |||||||
\(522\) | 1.33871 | − | 0.358706i | 0.0585936 | − | 0.0157001i | ||||
\(523\) | − | 8.24678i | − | 0.360607i | −0.983611 | − | 0.180303i | \(-0.942292\pi\) | ||
0.983611 | − | 0.180303i | \(-0.0577079\pi\) | |||||||
\(524\) | −5.39580 | + | 9.34579i | −0.235716 | + | 0.408273i | ||||
\(525\) | 16.3641 | + | 28.6609i | 0.714188 | + | 1.25086i | ||||
\(526\) | −11.6397 | + | 3.11886i | −0.507516 | + | 0.135989i | ||||
\(527\) | 31.7065 | + | 8.49573i | 1.38116 | + | 0.370080i | ||||
\(528\) | −0.163915 | + | 0.611738i | −0.00713347 | + | 0.0266225i | ||||
\(529\) | −3.51100 | −0.152652 | ||||||||
\(530\) | 49.8294 | 2.16445 | ||||||||
\(531\) | −3.12406 | + | 11.6591i | −0.135573 | + | 0.505963i | ||||
\(532\) | 6.32303 | − | 1.66170i | 0.274138 | − | 0.0720439i | ||||
\(533\) | 1.41102 | + | 4.33899i | 0.0611179 | + | 0.187942i | ||||
\(534\) | 0.839287 | − | 1.45369i | 0.0363195 | − | 0.0629072i | ||||
\(535\) | 11.8543 | + | 44.2410i | 0.512508 | + | 1.91271i | ||||
\(536\) | 3.17587 | − | 5.50077i | 0.137177 | − | 0.237597i | ||||
\(537\) | −10.3963 | − | 18.0069i | −0.448632 | − | 0.777054i | ||||
\(538\) | 1.29626 | − | 1.29626i | 0.0558857 | − | 0.0558857i | ||||
\(539\) | 4.27093 | + | 1.18853i | 0.183962 | + | 0.0511938i | ||||
\(540\) | 1.08192 | + | 4.03777i | 0.0465583 | + | 0.173758i | ||||
\(541\) | 7.25962 | + | 27.0933i | 0.312116 | + | 1.16483i | 0.926645 | + | 0.375937i | \(0.122679\pi\) |
−0.614530 | + | 0.788894i | \(0.710654\pi\) | |||||||
\(542\) | − | 14.9911i | − | 0.643924i | ||||||
\(543\) | 16.9487 | + | 9.78535i | 0.727340 | + | 0.419930i | ||||
\(544\) | −4.18412 | − | 4.18412i | −0.179393 | − | 0.179393i | ||||
\(545\) | 4.85710 | 0.208055 | ||||||||
\(546\) | −9.32179 | − | 2.02588i | −0.398936 | − | 0.0866997i | ||||
\(547\) | 33.9957 | 1.45355 | 0.726776 | − | 0.686875i | \(-0.241018\pi\) | ||||
0.726776 | + | 0.686875i | \(0.241018\pi\) | |||||||
\(548\) | 10.5293 | + | 10.5293i | 0.449790 | + | 0.449790i | ||||
\(549\) | −10.7264 | − | 6.19287i | −0.457790 | − | 0.264305i | ||||
\(550\) | 7.90010i | 0.336861i | ||||||||
\(551\) | −0.886372 | − | 3.30799i | −0.0377607 | − | 0.140925i | ||||
\(552\) | 1.33263 | + | 4.97344i | 0.0567205 | + | 0.211684i | ||||
\(553\) | 1.13077 | + | 0.00543767i | 0.0480854 | + | 0.000231233i | ||||
\(554\) | 4.12239 | − | 4.12239i | 0.175143 | − | 0.175143i | ||||
\(555\) | 4.70993 | + | 8.15783i | 0.199925 | + | 0.346281i | ||||
\(556\) | −4.72747 | + | 8.18822i | −0.200489 | + | 0.347258i | ||||
\(557\) | −3.92396 | − | 14.6444i | −0.166263 | − | 0.620503i | −0.997876 | − | 0.0651468i | \(-0.979248\pi\) |
0.831612 | − | 0.555357i | \(-0.187418\pi\) | |||||||
\(558\) | −2.77367 | + | 4.80415i | −0.117419 | + | 0.203376i | ||||
\(559\) | 0.527095 | + | 10.0099i | 0.0222937 | + | 0.423375i | ||||
\(560\) | 7.85797 | − | 7.78276i | 0.332060 | − | 0.328882i | ||||
\(561\) | 0.969922 | − | 3.61980i | 0.0409502 | − | 0.152828i | ||||
\(562\) | −25.1431 | −1.06060 | ||||||||
\(563\) | 19.4232 | 0.818591 | 0.409295 | − | 0.912402i | \(-0.365775\pi\) | ||||
0.409295 | + | 0.912402i | \(0.365775\pi\) | |||||||
\(564\) | −0.859880 | + | 3.20911i | −0.0362075 | + | 0.135128i | ||||
\(565\) | 66.1794 | + | 17.7327i | 2.78419 | + | 0.746021i | ||||
\(566\) | −13.3172 | + | 3.56833i | −0.559763 | + | 0.149988i | ||||
\(567\) | 2.64572 | + | 0.0127227i | 0.111110 | + | 0.000534305i | ||||
\(568\) | −7.70329 | + | 13.3425i | −0.323223 | + | 0.559838i | ||||
\(569\) | 44.9997i | 1.88649i | 0.332103 | + | 0.943243i | \(0.392242\pi\) | ||||
−0.332103 | + | 0.943243i | \(0.607758\pi\) | |||||||
\(570\) | 9.97745 | − | 2.67345i | 0.417910 | − | 0.111979i | ||||
\(571\) | −24.2146 | + | 13.9803i | −1.01335 | + | 0.585058i | −0.912171 | − | 0.409810i | \(-0.865595\pi\) |
−0.101180 | + | 0.994868i | \(0.532262\pi\) | |||||||
\(572\) | −1.69732 | − | 1.52751i | −0.0709686 | − | 0.0638684i | ||||
\(573\) | − | 5.27268i | − | 0.220270i | ||||||
\(574\) | −1.68796 | + | 2.89143i | −0.0704541 | + | 0.120686i | ||||
\(575\) | 32.1140 | + | 55.6230i | 1.33924 | + | 2.31964i | ||||
\(576\) | 0.866025 | − | 0.500000i | 0.0360844 | − | 0.0208333i | ||||
\(577\) | −42.1222 | − | 11.2866i | −1.75357 | − | 0.469868i | −0.768188 | − | 0.640224i | \(-0.778841\pi\) |
−0.985383 | + | 0.170356i | \(0.945508\pi\) | |||||||
\(578\) | 12.7376 | + | 12.7376i | 0.529815 | + | 0.529815i | ||||
\(579\) | −3.53613 | + | 13.1970i | −0.146957 | + | 0.548450i | ||||
\(580\) | −4.09661 | − | 4.09661i | −0.170103 | − | 0.170103i | ||||
\(581\) | −20.6751 | − | 5.64656i | −0.857746 | − | 0.234259i | ||||
\(582\) | 6.54547 | − | 3.77903i | 0.271319 | − | 0.156646i | ||||
\(583\) | 5.33819 | − | 5.33819i | 0.221085 | − | 0.221085i | ||||
\(584\) | 4.14740 | + | 7.18350i | 0.171620 | + | 0.297255i | ||||
\(585\) | −14.7434 | − | 3.12997i | −0.609564 | − | 0.129408i | ||||
\(586\) | −2.74769 | − | 1.58638i | −0.113506 | − | 0.0655327i | ||||
\(587\) | −9.26294 | − | 2.48200i | −0.382322 | − | 0.102443i | 0.0625387 | − | 0.998043i | \(-0.480080\pi\) |
−0.444861 | + | 0.895600i | \(0.646747\pi\) | |||||||
\(588\) | −3.44154 | − | 6.09556i | −0.141927 | − | 0.251377i | ||||
\(589\) | 11.8712 | + | 6.85383i | 0.489144 | + | 0.282407i | ||||
\(590\) | 48.7376 | − | 13.0592i | 2.00650 | − | 0.537639i | ||||
\(591\) | 8.95271 | − | 8.95271i | 0.368265 | − | 0.368265i | ||||
\(592\) | 1.59342 | − | 1.59342i | 0.0654893 | − | 0.0654893i | ||||
\(593\) | 4.80089 | − | 1.28640i | 0.197149 | − | 0.0528259i | −0.158893 | − | 0.987296i | \(-0.550793\pi\) |
0.356042 | + | 0.934470i | \(0.384126\pi\) | |||||||
\(594\) | 0.548469 | + | 0.316659i | 0.0225040 | + | 0.0129927i | ||||
\(595\) | −46.4975 | + | 46.0524i | −1.90621 | + | 1.88797i | ||||
\(596\) | −13.5501 | − | 3.63073i | −0.555032 | − | 0.148720i | ||||
\(597\) | −5.19335 | − | 2.99838i | −0.212549 | − | 0.122716i | ||||
\(598\) | −18.1598 | − | 3.85527i | −0.742611 | − | 0.157654i | ||||
\(599\) | −11.6073 | − | 20.1044i | −0.474260 | − | 0.821443i | 0.525305 | − | 0.850914i | \(-0.323951\pi\) |
−0.999566 | + | 0.0294711i | \(0.990618\pi\) | |||||||
\(600\) | 8.82055 | − | 8.82055i | 0.360098 | − | 0.360098i | ||||
\(601\) | −29.9917 | + | 17.3157i | −1.22339 | + | 0.706322i | −0.965638 | − | 0.259890i | \(-0.916314\pi\) |
−0.257748 | + | 0.966212i | \(0.582980\pi\) | |||||||
\(602\) | −5.22605 | + | 5.17603i | −0.212998 | + | 0.210959i | ||||
\(603\) | −4.49136 | − | 4.49136i | −0.182902 | − | 0.182902i | ||||
\(604\) | 1.90212 | − | 7.09882i | 0.0773963 | − | 0.288847i | ||||
\(605\) | −31.3288 | − | 31.3288i | −1.27370 | − | 1.27370i | ||||
\(606\) | 4.05718 | + | 1.08712i | 0.164812 | + | 0.0441611i | ||||
\(607\) | 32.4478 | − | 18.7338i | 1.31702 | − | 0.760380i | 0.333769 | − | 0.942655i | \(-0.391679\pi\) |
0.983248 | + | 0.182275i | \(0.0583461\pi\) | |||||||
\(608\) | −1.23551 | − | 2.13997i | −0.0501067 | − | 0.0867874i | ||||
\(609\) | −3.18435 | + | 1.81812i | −0.129036 | + | 0.0736741i | ||||
\(610\) | 51.7750i | 2.09631i | ||||||||
\(611\) | −8.90397 | − | 8.01316i | −0.360216 | − | 0.324178i | ||||
\(612\) | −5.12448 | + | 2.95862i | −0.207145 | + | 0.119595i | ||||
\(613\) | −11.5890 | + | 3.10527i | −0.468076 | + | 0.125421i | −0.485145 | − | 0.874434i | \(-0.661233\pi\) |
0.0170688 | + | 0.999854i | \(0.494567\pi\) | |||||||
\(614\) | 14.8989i | 0.601271i | ||||||||
\(615\) | −2.64493 | + | 4.58115i | −0.106654 | + | 0.184730i | ||||
\(616\) | 0.00805754 | − | 1.67558i | 0.000324648 | − | 0.0675111i | ||||
\(617\) | −1.90489 | + | 0.510413i | −0.0766879 | + | 0.0205485i | −0.296959 | − | 0.954890i | \(-0.595972\pi\) |
0.220271 | + | 0.975439i | \(0.429306\pi\) | |||||||
\(618\) | −1.37548 | − | 0.368559i | −0.0553300 | − | 0.0148256i | ||||
\(619\) | 4.98570 | − | 18.6069i | 0.200392 | − | 0.747874i | −0.790413 | − | 0.612575i | \(-0.790134\pi\) |
0.990805 | − | 0.135299i | \(-0.0431995\pi\) | |||||||
\(620\) | 23.1891 | 0.931296 | ||||||||
\(621\) | 5.14888 | 0.206618 | ||||||||
\(622\) | 8.63633 | − | 32.2312i | 0.346285 | − | 1.29235i | ||||
\(623\) | −1.17005 | + | 4.28419i | −0.0468772 | + | 0.171642i | ||||
\(624\) | 0.189595 | + | 3.60056i | 0.00758989 | + | 0.144138i | ||||
\(625\) | 34.1168 | − | 59.0920i | 1.36467 | − | 2.36368i | ||||
\(626\) | 0.515651 | + | 1.92443i | 0.0206096 | + | 0.0769159i | ||||
\(627\) | 0.782474 | − | 1.35528i | 0.0312490 | − | 0.0541248i | ||||
\(628\) | −10.7052 | − | 18.5419i | −0.427182 | − | 0.739902i | ||||
\(629\) | −9.42866 | + | 9.42866i | −0.375945 | + | 0.375945i | ||||
\(630\) | −5.48377 | − | 9.60454i | −0.218479 | − | 0.382654i | ||||
\(631\) | 8.30437 | + | 30.9923i | 0.330592 | + | 1.23378i | 0.908570 | + | 0.417733i | \(0.137175\pi\) |
−0.577978 | + | 0.816052i | \(0.696158\pi\) | |||||||
\(632\) | −0.110619 | − | 0.412834i | −0.00440017 | − | 0.0164217i | ||||
\(633\) | 21.1188i | 0.839399i | ||||||||
\(634\) | −18.3560 | − | 10.5979i | −0.729011 | − | 0.420895i | ||||
\(635\) | −54.4191 | − | 54.4191i | −2.15956 | − | 2.15956i | ||||
\(636\) | −11.9203 | −0.472671 | ||||||||
\(637\) | 25.2155 | − | 1.08471i | 0.999076 | − | 0.0429778i | ||||
\(638\) | −0.877735 | −0.0347499 | ||||||||
\(639\) | 10.8941 | + | 10.8941i | 0.430964 | + | 0.430964i | ||||
\(640\) | −3.62017 | − | 2.09010i | −0.143100 | − | 0.0826186i | ||||
\(641\) | 33.7682i | 1.33376i | 0.745163 | + | 0.666882i | \(0.232372\pi\) | ||||
−0.745163 | + | 0.666882i | \(0.767628\pi\) | |||||||
\(642\) | −2.83583 | − | 10.5834i | −0.111921 | − | 0.417695i | ||||
\(643\) | −9.13754 | − | 34.1018i | −0.360349 | − | 1.34484i | −0.873617 | − | 0.486614i | \(-0.838232\pi\) |
0.513268 | − | 0.858228i | \(-0.328435\pi\) | |||||||
\(644\) | −6.75452 | − | 11.8302i | −0.266165 | − | 0.466175i | ||||
\(645\) | −8.21758 | + | 8.21758i | −0.323567 | + | 0.323567i | ||||
\(646\) | 7.31084 | + | 12.6627i | 0.287641 | + | 0.498209i | ||||
\(647\) | −6.77441 | + | 11.7336i | −0.266330 | + | 0.461296i | −0.967911 | − | 0.251293i | \(-0.919144\pi\) |
0.701582 | + | 0.712589i | \(0.252478\pi\) | |||||||
\(648\) | −0.258819 | − | 0.965926i | −0.0101674 | − | 0.0379452i | ||||
\(649\) | 3.82221 | − | 6.62026i | 0.150035 | − | 0.259868i | ||||
\(650\) | 13.9090 | + | 42.7714i | 0.545557 | + | 1.67763i | ||||
\(651\) | 3.86679 | − | 14.1584i | 0.151552 | − | 0.554910i | ||||
\(652\) | −0.0576783 | + | 0.215258i | −0.00225886 | + | 0.00843016i | ||||
\(653\) | −3.94374 | −0.154330 | −0.0771652 | − | 0.997018i | \(-0.524587\pi\) | ||||
−0.0771652 | + | 0.997018i | \(0.524587\pi\) | |||||||
\(654\) | −1.16193 | −0.0454349 | ||||||||
\(655\) | 11.6756 | − | 43.5740i | 0.456204 | − | 1.70258i | ||||
\(656\) | 1.22233 | + | 0.327523i | 0.0477241 | + | 0.0127876i | ||||
\(657\) | 8.01215 | − | 2.14685i | 0.312584 | − | 0.0837566i | ||||
\(658\) | 0.0422690 | − | 8.78993i | 0.00164782 | − | 0.342667i | ||||
\(659\) | 2.53663 | − | 4.39357i | 0.0988130 | − | 0.171149i | −0.812381 | − | 0.583128i | \(-0.801829\pi\) |
0.911194 | + | 0.411978i | \(0.135162\pi\) | |||||||
\(660\) | − | 2.64740i | − | 0.103050i | ||||||
\(661\) | −42.4863 | + | 11.3842i | −1.65252 | + | 0.442793i | −0.960318 | − | 0.278907i | \(-0.910028\pi\) |
−0.692207 | + | 0.721699i | \(0.743361\pi\) | |||||||
\(662\) | 8.13012 | − | 4.69393i | 0.315986 | − | 0.182435i | ||||
\(663\) | −1.12188 | − | 21.3054i | −0.0435702 | − | 0.827433i | ||||
\(664\) | 8.10063i | 0.314366i | ||||||||
\(665\) | −23.7331 | + | 13.5506i | −0.920331 | + | 0.525469i | ||||
\(666\) | −1.12672 | − | 1.95154i | −0.0436595 | − | 0.0756205i | ||||
\(667\) | −6.17996 | + | 3.56800i | −0.239289 | + | 0.138154i | ||||
\(668\) | 18.4031 | + | 4.93109i | 0.712037 | + | 0.190790i | ||||
\(669\) | −13.8050 | − | 13.8050i | −0.533732 | − | 0.533732i | ||||
\(670\) | −6.87207 | + | 25.6469i | −0.265491 | + | 0.990826i | ||||
\(671\) | 5.54662 | + | 5.54662i | 0.214125 | + | 0.214125i | ||||
\(672\) | −1.87980 | + | 1.86181i | −0.0725150 | + | 0.0718209i | ||||
\(673\) | 38.3345 | − | 22.1325i | 1.47769 | − | 0.853144i | 0.478006 | − | 0.878356i | \(-0.341360\pi\) |
0.999682 | + | 0.0252127i | \(0.00802631\pi\) | |||||||
\(674\) | 11.1459 | − | 11.1459i | 0.429324 | − | 0.429324i | ||||
\(675\) | −6.23707 | − | 10.8029i | −0.240065 | − | 0.415805i | ||||
\(676\) | −11.8787 | − | 5.28167i | −0.456874 | − | 0.203141i | ||||
\(677\) | −28.1133 | − | 16.2312i | −1.08048 | − | 0.623818i | −0.149457 | − | 0.988768i | \(-0.547753\pi\) |
−0.931027 | + | 0.364951i | \(0.881086\pi\) | |||||||
\(678\) | −15.8316 | − | 4.24207i | −0.608009 | − | 0.162916i | ||||
\(679\) | −14.2077 | + | 14.0717i | −0.545240 | + | 0.540021i | ||||
\(680\) | 21.4214 | + | 12.3676i | 0.821473 | + | 0.474278i | ||||
\(681\) | 19.5147 | − | 5.22895i | 0.747805 | − | 0.200374i | ||||
\(682\) | 2.48423 | − | 2.48423i | 0.0951262 | − | 0.0951262i | ||||
\(683\) | −15.6930 | + | 15.6930i | −0.600475 | + | 0.600475i | −0.940438 | − | 0.339964i | \(-0.889585\pi\) |
0.339964 | + | 0.940438i | \(0.389585\pi\) | |||||||
\(684\) | −2.38683 | + | 0.639550i | −0.0912628 | + | 0.0244538i | ||||
\(685\) | −53.9068 | − | 31.1231i | −2.05967 | − | 1.18915i | ||||
\(686\) | 12.9055 | + | 13.2834i | 0.492735 | + | 0.507161i | ||||
\(687\) | −1.82487 | − | 0.488972i | −0.0696230 | − | 0.0186554i | ||||
\(688\) | 2.40764 | + | 1.39005i | 0.0917905 | + | 0.0529953i | ||||
\(689\) | 19.5027 | − | 38.2997i | 0.742993 | − | 1.45910i | ||||
\(690\) | −10.7617 | − | 18.6398i | −0.409691 | − | 0.709606i | ||||
\(691\) | 14.6882 | − | 14.6882i | 0.558766 | − | 0.558766i | −0.370190 | − | 0.928956i | \(-0.620707\pi\) |
0.928956 | + | 0.370190i | \(0.120707\pi\) | |||||||
\(692\) | −13.1669 | + | 7.60190i | −0.500530 | + | 0.288981i | ||||
\(693\) | −1.61640 | − | 0.441456i | −0.0614021 | − | 0.0167695i | ||||
\(694\) | 4.87232 | + | 4.87232i | 0.184951 | + | 0.184951i | ||||
\(695\) | 10.2295 | − | 38.1769i | 0.388026 | − | 1.44813i | ||||
\(696\) | 0.980002 | + | 0.980002i | 0.0371469 | + | 0.0371469i | ||||
\(697\) | −7.23283 | − | 1.93803i | −0.273963 | − | 0.0734082i | ||||
\(698\) | −19.6283 | + | 11.3324i | −0.742941 | + | 0.428937i | ||||
\(699\) | 0.193054 | + | 0.334379i | 0.00730198 | + | 0.0126474i | ||||
\(700\) | −16.6390 | + | 28.5022i | −0.628895 | + | 1.07728i | ||||
\(701\) | − | 14.0967i | − | 0.532426i | −0.963914 | − | 0.266213i | \(-0.914228\pi\) | ||
0.963914 | − | 0.266213i | \(-0.0857725\pi\) | |||||||
\(702\) | 3.52695 | + | 0.748759i | 0.133116 | + | 0.0282601i | ||||
\(703\) | −4.82231 | + | 2.78416i | −0.181877 | + | 0.105007i | ||||
\(704\) | −0.611738 | + | 0.163915i | −0.0230557 | + | 0.00617777i | ||||
\(705\) | − | 13.8880i | − | 0.523052i | ||||||
\(706\) | −0.464302 | + | 0.804194i | −0.0174742 | + | 0.0302662i | ||||
\(707\) | −11.1128 | − | 0.0534394i | −0.417941 | − | 0.00200979i | ||||
\(708\) | −11.6591 | + | 3.12406i | −0.438177 | + | 0.117409i | ||||
\(709\) | −15.5374 | − | 4.16322i | −0.583518 | − | 0.156353i | −0.0450290 | − | 0.998986i | \(-0.514338\pi\) |
−0.538489 | + | 0.842632i | \(0.681005\pi\) | |||||||
\(710\) | 16.6686 | − | 62.2082i | 0.625563 | − | 2.33463i | ||||
\(711\) | −0.427398 | −0.0160287 | ||||||||
\(712\) | 1.67857 | 0.0629072 | ||||||||
\(713\) | 7.39256 | − | 27.5894i | 0.276854 | − | 1.03323i | ||||
\(714\) | 11.1232 | − | 11.0168i | 0.416277 | − | 0.412292i | ||||
\(715\) | 8.50604 | + | 4.33138i | 0.318108 | + | 0.161984i | ||||
\(716\) | 10.3963 | − | 18.0069i | 0.388527 | − | 0.672949i | ||||
\(717\) | 1.68642 | + | 6.29380i | 0.0629805 | + | 0.235046i | ||||
\(718\) | 3.24616 | − | 5.62251i | 0.121146 | − | 0.209830i | ||||
\(719\) | 26.1786 | + | 45.3426i | 0.976296 | + | 1.69099i | 0.675591 | + | 0.737277i | \(0.263889\pi\) |
0.300705 | + | 0.953717i | \(0.402778\pi\) | |||||||
\(720\) | −2.95585 | + | 2.95585i | −0.110158 | + | 0.110158i | ||||
\(721\) | 3.76752 | + | 0.0181172i | 0.140310 | + | 0.000674721i | ||||
\(722\) | −3.33722 | − | 12.4547i | −0.124198 | − | 0.463514i | ||||
\(723\) | 3.87262 | + | 14.4528i | 0.144024 | + | 0.537506i | ||||
\(724\) | 19.5707i | 0.727340i | ||||||||
\(725\) | 14.9721 | + | 8.64416i | 0.556051 | + | 0.321036i | ||||
\(726\) | 7.49456 | + | 7.49456i | 0.278149 | + | 0.278149i | ||||
\(727\) | 14.4888 | 0.537359 | 0.268680 | − | 0.963230i | \(-0.413413\pi\) | ||||
0.268680 | + | 0.963230i | \(0.413413\pi\) | |||||||
\(728\) | −2.90643 | − | 9.08585i | −0.107720 | − | 0.336744i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −24.5182 | − | 24.5182i | −0.907459 | − | 0.907459i | ||||
\(731\) | −14.2466 | − | 8.22527i | −0.526929 | − | 0.304223i | ||||
\(732\) | − | 12.3857i | − | 0.457790i | ||||||
\(733\) | −0.624291 | − | 2.32989i | −0.0230587 | − | 0.0860563i | 0.953438 | − | 0.301590i | \(-0.0975175\pi\) |
−0.976496 | + | 0.215534i | \(0.930851\pi\) | |||||||
\(734\) | 6.73128 | + | 25.1215i | 0.248456 | + | 0.927250i | ||||
\(735\) | 20.4910 | + | 20.8890i | 0.755823 | + | 0.770503i | ||||
\(736\) | −3.64081 | + | 3.64081i | −0.134202 | + | 0.134202i | ||||
\(737\) | 2.01134 | + | 3.48374i | 0.0740886 | + | 0.128325i | ||||
\(738\) | 0.632726 | − | 1.09591i | 0.0232910 | − | 0.0403411i | ||||
\(739\) | −9.09911 | − | 33.9583i | −0.334716 | − | 1.24918i | −0.904176 | − | 0.427159i | \(-0.859514\pi\) |
0.569460 | − | 0.822019i | \(-0.307152\pi\) | |||||||
\(740\) | −4.70993 | + | 8.15783i | −0.173140 | + | 0.299888i | ||||
\(741\) | 1.85021 | − | 8.71519i | 0.0679690 | − | 0.320161i | ||||
\(742\) | 30.5024 | − | 8.01610i | 1.11978 | − | 0.294280i | ||||
\(743\) | −4.80877 | + | 17.9466i | −0.176417 | + | 0.658396i | 0.819889 | + | 0.572522i | \(0.194035\pi\) |
−0.996306 | + | 0.0858740i | \(0.972632\pi\) | |||||||
\(744\) | −5.54735 | −0.203376 | ||||||||
\(745\) | 58.6402 | 2.14841 | ||||||||
\(746\) | −6.65693 | + | 24.8440i | −0.243727 | + | 0.909603i | ||||
\(747\) | 7.82461 | + | 2.09660i | 0.286288 | + | 0.0767105i | ||||
\(748\) | 3.61980 | − | 0.969922i | 0.132353 | − | 0.0354639i | ||||
\(749\) | 14.3736 | + | 25.1746i | 0.525199 | + | 0.919859i | ||||
\(750\) | −15.6217 | + | 27.0577i | −0.570426 | + | 0.988006i | ||||
\(751\) | 16.1289i | 0.588552i | 0.955721 | + | 0.294276i | \(0.0950785\pi\) | ||||
−0.955721 | + | 0.294276i | \(0.904922\pi\) | |||||||
\(752\) | −3.20911 | + | 0.859880i | −0.117024 | + | 0.0313566i | ||||
\(753\) | 13.5662 | − | 7.83244i | 0.494379 | − | 0.285430i | ||||
\(754\) | −4.75209 | + | 1.54535i | −0.173061 | + | 0.0562785i | ||||
\(755\) | 30.7214i | 1.11806i | ||||||||
\(756\) | 1.31184 | + | 2.29762i | 0.0477112 | + | 0.0835637i | ||||
\(757\) | −0.821968 | − | 1.42369i | −0.0298749 | − | 0.0517449i | 0.850701 | − | 0.525649i | \(-0.176178\pi\) |
−0.880576 | + | 0.473904i | \(0.842844\pi\) | |||||||
\(758\) | −25.4304 | + | 14.6823i | −0.923675 | + | 0.533284i | ||||
\(759\) | −3.14977 | − | 0.843978i | −0.114329 | − | 0.0306345i | ||||
\(760\) | 7.30400 | + | 7.30400i | 0.264944 | + | 0.264944i | ||||
\(761\) | 13.7057 | − | 51.1504i | 0.496832 | − | 1.85420i | −0.0226867 | − | 0.999743i | \(-0.507222\pi\) |
0.519519 | − | 0.854459i | \(-0.326111\pi\) | |||||||
\(762\) | 13.0183 | + | 13.0183i | 0.471602 | + | 0.471602i | ||||
\(763\) | 2.97321 | − | 0.781365i | 0.107637 | − | 0.0282873i | ||||
\(764\) | 4.56628 | − | 2.63634i | 0.165202 | − | 0.0953795i | ||||
\(765\) | 17.4905 | − | 17.4905i | 0.632370 | − | 0.632370i | ||||
\(766\) | −6.31661 | − | 10.9407i | −0.228228 | − | 0.395303i | ||||
\(767\) | 9.03784 | − | 42.5718i | 0.326338 | − | 1.53718i | ||||
\(768\) | 0.866025 | + | 0.500000i | 0.0312500 | + | 0.0180422i | ||||
\(769\) | 2.73506 | + | 0.732858i | 0.0986289 | + | 0.0264275i | 0.307796 | − | 0.951452i | \(-0.400409\pi\) |
−0.209167 | + | 0.977880i | \(0.567075\pi\) | |||||||
\(770\) | 1.78031 | + | 6.77434i | 0.0641578 | + | 0.244130i | ||||
\(771\) | 24.8529 | + | 14.3488i | 0.895055 | + | 0.516760i | ||||
\(772\) | −13.1970 | + | 3.53613i | −0.474971 | + | 0.127268i | ||||
\(773\) | −9.14714 | + | 9.14714i | −0.329000 | + | 0.329000i | −0.852206 | − | 0.523206i | \(-0.824736\pi\) |
0.523206 | + | 0.852206i | \(0.324736\pi\) | |||||||
\(774\) | 1.96583 | − | 1.96583i | 0.0706603 | − | 0.0706603i | ||||
\(775\) | −66.8406 | + | 17.9099i | −2.40098 | + | 0.643342i | ||||
\(776\) | 6.54547 | + | 3.77903i | 0.234969 | + | 0.135659i | ||||
\(777\) | 4.19548 | + | 4.23602i | 0.150512 | + | 0.151967i | ||||
\(778\) | −14.0311 | − | 3.75963i | −0.503041 | − | 0.134789i | ||||
\(779\) | −2.70803 | − | 1.56348i | −0.0970254 | − | 0.0560177i | ||||
\(780\) | −4.66106 | − | 14.3331i | −0.166893 | − | 0.513208i | ||||
\(781\) | −4.87863 | − | 8.45003i | −0.174571 | − | 0.302366i | ||||
\(782\) | 21.5435 | − | 21.5435i | 0.770395 | − | 0.770395i | ||||
\(783\) | 1.20025 | − | 0.692966i | 0.0428935 | − | 0.0247646i | ||||
\(784\) | 3.55814 | − | 6.02824i | 0.127076 | − | 0.215294i | ||||
\(785\) | 63.2858 | + | 63.2858i | 2.25877 | + | 2.25877i | ||||
\(786\) | −2.79307 | + | 10.4239i | −0.0996255 | + | 0.371807i | ||||
\(787\) | −37.0580 | − | 37.0580i | −1.32097 | − | 1.32097i | −0.912988 | − | 0.407987i | \(-0.866231\pi\) |
−0.407987 | − | 0.912988i | \(-0.633769\pi\) | |||||||
\(788\) | 12.2296 | + | 3.27692i | 0.435662 | + | 0.116735i | ||||
\(789\) | −10.4359 | + | 6.02517i | −0.371528 | + | 0.214502i | ||||
\(790\) | 0.893306 | + | 1.54725i | 0.0317824 | + | 0.0550487i | ||||
\(791\) | 43.3636 | + | 0.208527i | 1.54183 | + | 0.00741436i | ||||
\(792\) | 0.633318i | 0.0225040i | ||||||||
\(793\) | 39.7951 | + | 20.2641i | 1.41317 | + | 0.719601i | ||||
\(794\) | −4.67949 | + | 2.70171i | −0.166069 | + | 0.0958800i | ||||
\(795\) | 48.1315 | − | 12.8968i | 1.70705 | − | 0.457402i | ||||
\(796\) | − | 5.99676i | − | 0.212549i | ||||||
\(797\) | 18.1260 | − | 31.3952i | 0.642057 | − | 1.11208i | −0.342916 | − | 0.939366i | \(-0.611415\pi\) |
0.984973 | − | 0.172709i | \(-0.0552521\pi\) | |||||||
\(798\) | 5.67749 | − | 3.24160i | 0.200981 | − | 0.114751i | ||||
\(799\) | 18.9891 | − | 5.08811i | 0.671786 | − | 0.180004i | ||||
\(800\) | 12.0491 | + | 3.22855i | 0.426000 | + | 0.114146i | ||||
\(801\) | 0.434447 | − | 1.62138i | 0.0153504 | − | 0.0572886i | ||||
\(802\) | −4.09793 | −0.144703 | ||||||||
\(803\) | −5.25324 | −0.185383 | ||||||||
\(804\) | 1.64395 | − | 6.13532i | 0.0579778 | − | 0.216376i | ||||
\(805\) | 40.0725 | + | 40.4598i | 1.41237 | + | 1.42602i | ||||
\(806\) | 9.07595 | − | 17.8235i | 0.319687 | − | 0.627806i | ||||
\(807\) | 0.916594 | − | 1.58759i | 0.0322656 | − | 0.0558857i | ||||
\(808\) | 1.08712 | + | 4.05718i | 0.0382447 | + | 0.142731i | ||||
\(809\) | 12.1469 | − | 21.0391i | 0.427064 | − | 0.739696i | −0.569547 | − | 0.821959i | \(-0.692881\pi\) |
0.996611 | + | 0.0822628i | \(0.0262147\pi\) | |||||||
\(810\) | 2.09010 | + | 3.62017i | 0.0734388 | + | 0.127200i | ||||
\(811\) | −14.0616 | + | 14.0616i | −0.493771 | + | 0.493771i | −0.909492 | − | 0.415721i | \(-0.863529\pi\) |
0.415721 | + | 0.909492i | \(0.363529\pi\) | |||||||
\(812\) | −3.16672 | − | 1.84866i | −0.111130 | − | 0.0648754i | ||||
\(813\) | −3.87999 | − | 14.4803i | −0.136077 | − | 0.507847i | ||||
\(814\) | 0.369372 | + | 1.37852i | 0.0129465 | + | 0.0483169i | ||||
\(815\) | − | 0.931567i | − | 0.0326314i | ||||||
\(816\) | −5.12448 | − | 2.95862i | −0.179393 | − | 0.103572i | ||||
\(817\) | −4.85763 | − | 4.85763i | −0.169947 | − | 0.169947i | ||||
\(818\) | 0.124629 | 0.00435754 | ||||||||
\(819\) | −9.52850 | + | 0.455807i | −0.332953 | + | 0.0159272i | ||||
\(820\) | −5.28985 | −0.184730 | ||||||||
\(821\) | 18.4886 | + | 18.4886i | 0.645257 | + | 0.645257i | 0.951843 | − | 0.306586i | \(-0.0991867\pi\) |
−0.306586 | + | 0.951843i | \(0.599187\pi\) | |||||||
\(822\) | 12.8957 | + | 7.44535i | 0.449790 | + | 0.259687i | ||||
\(823\) | 38.1095i | 1.32841i | 0.747549 | + | 0.664207i | \(0.231231\pi\) | ||||
−0.747549 | + | 0.664207i | \(0.768769\pi\) | |||||||
\(824\) | −0.368559 | − | 1.37548i | −0.0128394 | − | 0.0479172i | ||||
\(825\) | 2.04470 | + | 7.63091i | 0.0711872 | + | 0.265674i | ||||
\(826\) | 27.7333 | − | 15.8345i | 0.964965 | − | 0.550953i | ||||
\(827\) | 5.83374 | − | 5.83374i | 0.202859 | − | 0.202859i | −0.598365 | − | 0.801224i | \(-0.704183\pi\) |
0.801224 | + | 0.598365i | \(0.204183\pi\) | |||||||
\(828\) | 2.57444 | + | 4.45906i | 0.0894680 | + | 0.154963i | ||||
\(829\) | −5.69060 | + | 9.85640i | −0.197643 | + | 0.342327i | −0.947764 | − | 0.318974i | \(-0.896662\pi\) |
0.750121 | + | 0.661301i | \(0.229995\pi\) | |||||||
\(830\) | −8.76422 | − | 32.7085i | −0.304210 | − | 1.13533i | ||||
\(831\) | 2.91497 | − | 5.04887i | 0.101119 | − | 0.175143i | ||||
\(832\) | −3.02338 | + | 1.96448i | −0.104817 | + | 0.0681059i | ||||
\(833\) | −21.0544 | + | 35.6705i | −0.729490 | + | 1.23591i | ||||
\(834\) | −2.44712 | + | 9.13277i | −0.0847368 | + | 0.316242i | ||||
\(835\) | −79.6425 | −2.75614 | ||||||||
\(836\) | 1.56495 | 0.0541248 | ||||||||
\(837\) | −1.43576 | + | 5.35833i | −0.0496271 | + | 0.185211i | ||||
\(838\) | −4.24130 | − | 1.13645i | −0.146513 | − | 0.0392581i | ||||
\(839\) | −22.2461 | + | 5.96083i | −0.768021 | + | 0.205791i | −0.621497 | − | 0.783416i | \(-0.713475\pi\) |
−0.146524 | + | 0.989207i | \(0.546809\pi\) | |||||||
\(840\) | 5.57589 | − | 9.55136i | 0.192387 | − | 0.329553i | ||||
\(841\) | 13.5396 | − | 23.4513i | 0.466883 | − | 0.808664i | ||||
\(842\) | − | 31.2802i | − | 1.07799i | ||||||
\(843\) | −24.2864 | + | 6.50753i | −0.836469 | + | 0.224131i | ||||
\(844\) | −18.2895 | + | 10.5594i | −0.629549 | + | 0.363470i | ||||
\(845\) | 53.6779 | + | 8.47438i | 1.84658 | + | 0.291528i | ||||
\(846\) | 3.32232i | 0.114224i | ||||||||
\(847\) | −24.2174 | − | 14.1377i | −0.832121 | − | 0.485776i | ||||
\(848\) | −5.96016 | − | 10.3233i | −0.204673 | − | 0.354503i | ||||
\(849\) | −11.9399 | + | 6.89348i | −0.409775 | + | 0.236584i | ||||
\(850\) | −71.2974 | − | 19.1041i | −2.44548 | − | 0.655264i | ||||
\(851\) | 8.20435 | + | 8.20435i | 0.281241 | + | 0.281241i | ||||
\(852\) | −3.98751 | + | 14.8816i | −0.136610 | + | 0.509835i | ||||
\(853\) | −23.4705 | − | 23.4705i | −0.803613 | − | 0.803613i | 0.180045 | − | 0.983658i | \(-0.442376\pi\) |
−0.983658 | + | 0.180045i | \(0.942376\pi\) | |||||||
\(854\) | 8.32908 | + | 31.6934i | 0.285015 | + | 1.08453i | ||||
\(855\) | 8.94554 | − | 5.16471i | 0.305931 | − | 0.176629i | ||||
\(856\) | 7.74762 | − | 7.74762i | 0.264808 | − | 0.264808i | ||||
\(857\) | 9.42125 | + | 16.3181i | 0.321824 | + | 0.557415i | 0.980864 | − | 0.194692i | \(-0.0623708\pi\) |
−0.659041 | + | 0.752107i | \(0.729038\pi\) | |||||||
\(858\) | −2.03484 | − | 1.03616i | −0.0694681 | − | 0.0353740i | ||||
\(859\) | 25.2668 | + | 14.5878i | 0.862094 | + | 0.497730i | 0.864713 | − | 0.502267i | \(-0.167500\pi\) |
−0.00261917 | + | 0.999997i | \(0.500834\pi\) | |||||||
\(860\) | −11.2254 | − | 3.00784i | −0.382784 | − | 0.102567i | ||||
\(861\) | −0.882086 | + | 3.22978i | −0.0300614 | + | 0.110071i | ||||
\(862\) | 9.92121 | + | 5.72801i | 0.337918 | + | 0.195097i | ||||
\(863\) | 23.7880 | − | 6.37398i | 0.809753 | − | 0.216973i | 0.169892 | − | 0.985463i | \(-0.445658\pi\) |
0.639862 | + | 0.768490i | \(0.278992\pi\) | |||||||
\(864\) | 0.707107 | − | 0.707107i | 0.0240563 | − | 0.0240563i | ||||
\(865\) | 44.9402 | − | 44.9402i | 1.52801 | − | 1.52801i | ||||
\(866\) | −11.4875 | + | 3.07806i | −0.390361 | + | 0.104597i | ||||
\(867\) | 15.6003 | + | 9.00685i | 0.529815 | + | 0.305889i | ||||
\(868\) | 14.1949 | − | 3.73045i | 0.481807 | − | 0.126620i | ||||
\(869\) | 0.261455 | + | 0.0700568i | 0.00886927 | + | 0.00237651i | ||||
\(870\) | −5.01730 | − | 2.89674i | −0.170103 | − | 0.0982088i | ||||
\(871\) | 17.0230 | + | 15.3199i | 0.576802 | + | 0.519095i | ||||
\(872\) | −0.580963 | − | 1.00626i | −0.0196739 | − | 0.0340762i | ||||
\(873\) | 5.34435 | − | 5.34435i | 0.180879 | − | 0.180879i | ||||
\(874\) | 11.0185 | − | 6.36152i | 0.372706 | − | 0.215182i | ||||
\(875\) | 21.7783 | − | 79.7421i | 0.736242 | − | 2.69577i | ||||
\(876\) | 5.86530 | + | 5.86530i | 0.198170 | + | 0.198170i | ||||
\(877\) | 7.99081 | − | 29.8221i | 0.269831 | − | 1.00702i | −0.689396 | − | 0.724384i | \(-0.742124\pi\) |
0.959227 | − | 0.282637i | \(-0.0912092\pi\) | |||||||
\(878\) | 6.09509 | + | 6.09509i | 0.205699 | + | 0.205699i | ||||
\(879\) | −3.06465 | − | 0.821170i | −0.103368 | − | 0.0276974i | ||||
\(880\) | 2.29272 | − | 1.32370i | 0.0772875 | − | 0.0446219i | ||||
\(881\) | −10.9949 | − | 19.0437i | −0.370428 | − | 0.641600i | 0.619203 | − | 0.785231i | \(-0.287456\pi\) |
−0.989631 | + | 0.143631i | \(0.954122\pi\) | |||||||
\(882\) | −4.90191 | − | 4.99712i | −0.165056 | − | 0.168262i | ||||
\(883\) | 4.16764i | 0.140252i | 0.997538 | + | 0.0701262i | \(0.0223402\pi\) | ||||
−0.997538 | + | 0.0701262i | \(0.977660\pi\) | |||||||
\(884\) | 17.8901 | − | 11.6243i | 0.601708 | − | 0.390967i | ||||
\(885\) | 43.6970 | − | 25.2285i | 1.46886 | − | 0.848045i | ||||
\(886\) | −8.16083 | + | 2.18669i | −0.274169 | + | 0.0734632i | ||||
\(887\) | − | 44.3768i | − | 1.49003i | −0.667050 | − | 0.745013i | \(-0.732443\pi\) | ||
0.667050 | − | 0.745013i | \(-0.267557\pi\) | |||||||
\(888\) | 1.12672 | − | 1.95154i | 0.0378103 | − | 0.0654893i | ||||
\(889\) | −42.0664 | − | 24.5575i | −1.41086 | − | 0.823633i | ||||
\(890\) | −6.77770 | + | 1.81608i | −0.227189 | + | 0.0608751i | ||||
\(891\) | 0.611738 | + | 0.163915i | 0.0204940 | + | 0.00549135i | ||||
\(892\) | 5.05298 | − | 18.8580i | 0.169186 | − | 0.631412i | ||||
\(893\) | 8.20955 | 0.274722 | ||||||||
\(894\) | −14.0280 | −0.469168 | ||||||||
\(895\) | −22.4958 | + | 83.9556i | −0.751953 | + | 2.80633i | ||||
\(896\) | −2.55228 | − | 0.697052i | −0.0852656 | − | 0.0232869i | ||||
\(897\) | −18.5389 | + | 0.976204i | −0.618995 | + | 0.0325945i | ||||
\(898\) | 4.49887 | − | 7.79227i | 0.150129 | − | 0.260032i | ||||
\(899\) | −1.98987 | − | 7.42628i | −0.0663657 | − | 0.247680i | ||||
\(900\) | 6.23707 | − | 10.8029i | 0.207902 | − | 0.360098i | ||||
\(901\) | 35.2677 | + | 61.0854i | 1.17494 | + | 2.03505i | ||||
\(902\) | −0.566699 | + | 0.566699i | −0.0188690 | + | 0.0188690i | ||||
\(903\) | −3.70832 | + | 6.35226i | −0.123405 | + | 0.211390i | ||||
\(904\) | −4.24207 | − | 15.8316i | −0.141089 | − | 0.526551i | ||||
\(905\) | −21.1739 | − | 79.0221i | −0.703844 | − | 2.62678i | ||||
\(906\) | − | 7.34924i | − | 0.244162i | ||||||
\(907\) | 7.72303 | + | 4.45890i | 0.256439 | + | 0.148055i | 0.622709 | − | 0.782453i | \(-0.286032\pi\) |
−0.366270 | + | 0.930509i | \(0.619365\pi\) | |||||||
\(908\) | 14.2857 | + | 14.2857i | 0.474089 | + | 0.474089i | ||||
\(909\) | 4.20030 | 0.139315 | ||||||||
\(910\) | 21.5657 | + | 33.5421i | 0.714894 | + | 1.11191i | ||||
\(911\) | −28.1929 | −0.934072 | −0.467036 | − | 0.884238i | \(-0.654678\pi\) | ||||
−0.467036 | + | 0.884238i | \(0.654678\pi\) | |||||||
\(912\) | −1.74728 | − | 1.74728i | −0.0578583 | − | 0.0578583i | ||||
\(913\) | −4.44295 | − | 2.56514i | −0.147040 | − | 0.0848937i | ||||
\(914\) | − | 18.5251i | − | 0.612755i | ||||||
\(915\) | 13.4004 | + | 50.0108i | 0.443002 | + | 1.65331i | ||||
\(916\) | −0.488972 | − | 1.82487i | −0.0161561 | − | 0.0602953i | ||||
\(917\) | 0.137299 | − | 28.5515i | 0.00453400 | − | 0.942855i | ||||
\(918\) | −4.18412 | + | 4.18412i | −0.138096 | + | 0.138096i | ||||
\(919\) | 5.59640 | + | 9.69325i | 0.184608 | + | 0.319751i | 0.943444 | − | 0.331531i | \(-0.107565\pi\) |
−0.758836 | + | 0.651281i | \(0.774232\pi\) | |||||||
\(920\) | 10.7617 | − | 18.6398i | 0.354803 | − | 0.614537i | ||||
\(921\) | 3.85612 | + | 14.3912i | 0.127064 | + | 0.474208i | ||||
\(922\) | 20.8523 | − | 36.1173i | 0.686735 | − | 1.18946i | ||||
\(923\) | −41.2903 | − | 37.1594i | −1.35909 | − | 1.22312i | ||||
\(924\) | −0.425890 | − | 1.62057i | −0.0140107 | − | 0.0533130i | ||||
\(925\) | 7.27534 | − | 27.1519i | 0.239212 | − | 0.892750i | ||||
\(926\) | −17.9816 | −0.590912 | ||||||||
\(927\) | −1.42400 | −0.0467704 | ||||||||
\(928\) | −0.358706 | + | 1.33871i | −0.0117751 | + | 0.0439452i | ||||
\(929\) | 21.2250 | + | 5.68722i | 0.696370 | + | 0.186592i | 0.589604 | − | 0.807692i | \(-0.299284\pi\) |
0.106766 | + | 0.994284i | \(0.465950\pi\) | |||||||
\(930\) | 22.3989 | − | 6.00178i | 0.734490 | − | 0.196806i | ||||
\(931\) | −12.3480 | + | 12.1128i | −0.404691 | + | 0.396980i | ||||
\(932\) | −0.193054 | + | 0.334379i | −0.00632370 | + | 0.0109530i | ||||
\(933\) | − | 33.3682i | − | 1.09243i | ||||||
\(934\) | 0.811229 | − | 0.217368i | 0.0265442 | − | 0.00711251i | ||||
\(935\) | −13.5665 | + | 7.83265i | −0.443674 | + | 0.256155i | ||||
\(936\) | 1.11503 | + | 3.42881i | 0.0364459 | + | 0.112074i | ||||
\(937\) | 26.1389i | 0.853920i | 0.904270 | + | 0.426960i | \(0.140416\pi\) | ||||
−0.904270 | + | 0.426960i | \(0.859584\pi\) | |||||||
\(938\) | −0.0808117 | + | 16.8050i | −0.00263859 | + | 0.548701i | ||||
\(939\) | 0.996161 | + | 1.72540i | 0.0325085 | + | 0.0563063i | ||||
\(940\) | 12.0274 | − | 6.94400i | 0.392289 | − | 0.226488i | ||||
\(941\) | −6.95414 | − | 1.86336i | −0.226699 | − | 0.0607437i | 0.143682 | − | 0.989624i | \(-0.454106\pi\) |
−0.370380 | + | 0.928880i | \(0.620773\pi\) | |||||||
\(942\) | −15.1394 | − | 15.1394i | −0.493268 | − | 0.493268i | ||||
\(943\) | −1.68638 | + | 6.29365i | −0.0549160 | + | 0.204949i | ||||
\(944\) | −8.53508 | − | 8.53508i | −0.277793 | − | 0.277793i | ||||
\(945\) | −7.78276 | − | 7.85797i | −0.253173 | − | 0.255620i | ||||
\(946\) | −1.52480 | + | 0.880345i | −0.0495756 | + | 0.0286225i | ||||
\(947\) | 7.36706 | − | 7.36706i | 0.239397 | − | 0.239397i | −0.577203 | − | 0.816601i | \(-0.695856\pi\) |
0.816601 | + | 0.577203i | \(0.195856\pi\) | |||||||
\(948\) | −0.213699 | − | 0.370137i | −0.00694061 | − | 0.0120215i | ||||
\(949\) | −28.4412 | + | 9.24893i | −0.923241 | + | 0.300233i | ||||
\(950\) | −26.6944 | − | 15.4120i | −0.866079 | − | 0.500031i | ||||
\(951\) | −20.4735 | − | 5.48586i | −0.663898 | − | 0.177891i | ||||
\(952\) | 15.1024 | + | 4.12462i | 0.489473 | + | 0.133680i | ||||
\(953\) | 12.2353 | + | 7.06405i | 0.396340 | + | 0.228827i | 0.684904 | − | 0.728634i | \(-0.259844\pi\) |
−0.288563 | + | 0.957461i | \(0.593178\pi\) | |||||||
\(954\) | −11.5141 | + | 3.08520i | −0.372784 | + | 0.0998872i | ||||
\(955\) | −15.5853 | + | 15.5853i | −0.504328 | + | 0.504328i | ||||
\(956\) | −4.60738 | + | 4.60738i | −0.149013 | + | 0.149013i | ||||
\(957\) | −0.847827 | + | 0.227175i | −0.0274064 | + | 0.00734351i | ||||
\(958\) | −21.5049 | − | 12.4159i | −0.694792 | − | 0.401138i | ||||
\(959\) | −38.0052 | − | 10.3796i | −1.22725 | − | 0.335175i | ||||
\(960\) | −4.03777 | − | 1.08192i | −0.130319 | − | 0.0349187i | ||||
\(961\) | −0.196509 | − | 0.113454i | −0.00633899 | − | 0.00365982i | ||||
\(962\) | 4.42683 | + | 6.81301i | 0.142727 | + | 0.219660i | ||||
\(963\) | −5.47839 | − | 9.48886i | −0.176539 | − | 0.305774i | ||||
\(964\) | −10.5802 | + | 10.5802i | −0.340765 | + | 0.340765i | ||||
\(965\) | 49.4608 | − | 28.5562i | 1.59220 | − | 0.919256i | ||||
\(966\) | −9.58625 | − | 9.67889i | −0.308432 | − | 0.311413i | ||||
\(967\) | 6.47081 | + | 6.47081i | 0.208087 | + | 0.208087i | 0.803454 | − | 0.595367i | \(-0.202993\pi\) |
−0.595367 | + | 0.803454i | \(0.702993\pi\) | |||||||
\(968\) | −2.74320 | + | 10.2378i | −0.0881698 | + | 0.329054i | ||||
\(969\) | 10.3391 | + | 10.3391i | 0.332139 | + | 0.332139i | ||||
\(970\) | −30.5177 | − | 8.17720i | −0.979865 | − | 0.262554i | ||||
\(971\) | 11.1381 | − | 6.43060i | 0.357440 | − | 0.206368i | −0.310517 | − | 0.950568i | \(-0.600502\pi\) |
0.667957 | + | 0.744200i | \(0.267169\pi\) | |||||||
\(972\) | −0.500000 | − | 0.866025i | −0.0160375 | − | 0.0277778i | ||||
\(973\) | 0.120293 | − | 25.0151i | 0.00385641 | − | 0.801949i | ||||
\(974\) | 37.5994i | 1.20476i | ||||||||
\(975\) | 24.5052 | + | 37.7141i | 0.784793 | + | 1.20782i | ||||
\(976\) | 10.7264 | − | 6.19287i | 0.343343 | − | 0.198229i | ||||
\(977\) | −16.5044 | + | 4.42235i | −0.528024 | + | 0.141483i | −0.512975 | − | 0.858403i | \(-0.671457\pi\) |
−0.0150481 | + | 0.999887i | \(0.504790\pi\) | |||||||
\(978\) | 0.222852i | 0.00712601i | ||||||||
\(979\) | −0.531536 | + | 0.920647i | −0.0169880 | + | 0.0294240i | ||||
\(980\) | −7.84490 | + | 28.1903i | −0.250596 | + | 0.900505i | ||||
\(981\) | −1.12234 | + | 0.300729i | −0.0358334 | + | 0.00960153i | ||||
\(982\) | −22.3793 | − | 5.99651i | −0.714151 | − | 0.191356i | ||||
\(983\) | 10.7386 | − | 40.0769i | 0.342507 | − | 1.27826i | −0.552990 | − | 0.833188i | \(-0.686513\pi\) |
0.895497 | − | 0.445067i | \(-0.146820\pi\) | |||||||
\(984\) | 1.26545 | 0.0403411 | ||||||||
\(985\) | −52.9258 | −1.68636 | ||||||||
\(986\) | 2.12255 | − | 7.92145i | 0.0675956 | − | 0.252270i | ||||
\(987\) | −2.23417 | − | 8.50136i | −0.0711145 | − | 0.270601i | ||||
\(988\) | 8.47268 | − | 2.75527i | 0.269552 | − | 0.0876568i | ||||
\(989\) | −7.15722 | + | 12.3967i | −0.227586 | + | 0.394191i | ||||
\(990\) | −0.685198 | − | 2.55719i | −0.0217770 | − | 0.0812729i | ||||
\(991\) | 10.0195 | − | 17.3543i | 0.318280 | − | 0.551277i | −0.661850 | − | 0.749637i | \(-0.730228\pi\) |
0.980129 | + | 0.198360i | \(0.0635616\pi\) | |||||||
\(992\) | −2.77367 | − | 4.80415i | −0.0880643 | − | 0.152532i | ||||
\(993\) | 6.63821 | − | 6.63821i | 0.210657 | − | 0.210657i | ||||
\(994\) | 0.196014 | − | 40.7615i | 0.00621718 | − | 1.29288i | ||||
\(995\) | 6.48800 | + | 24.2135i | 0.205683 | + | 0.767621i | ||||
\(996\) | 2.09660 | + | 7.82461i | 0.0664333 | + | 0.247932i | ||||
\(997\) | − | 14.4532i | − | 0.457737i | −0.973457 | − | 0.228868i | \(-0.926497\pi\) | ||
0.973457 | − | 0.228868i | \(-0.0735025\pi\) | |||||||
\(998\) | −17.1390 | − | 9.89522i | −0.542526 | − | 0.313228i | ||||
\(999\) | −1.59342 | − | 1.59342i | −0.0504137 | − | 0.0504137i |
(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 | 546.2.cg.b.271.6 | yes | 40 | |
7.3 | odd | 6 | 546.2.by.b.115.1 | yes | 40 | ||
13.6 | odd | 12 | 546.2.by.b.19.1 | ✓ | 40 | ||
91.45 | even | 12 | inner | 546.2.cg.b.409.6 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.19.1 | ✓ | 40 | 13.6 | odd | 12 | ||
546.2.by.b.115.1 | yes | 40 | 7.3 | odd | 6 | ||
546.2.cg.b.271.6 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.cg.b.409.6 | yes | 40 | 91.45 | even | 12 | inner |