Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(29,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Character | \(\chi\) | \(=\) | 210.29 |
Dual form | 210.3.c.a.29.3 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41421 | −0.707107 | ||||||||
\(3\) | −2.01468 | + | 2.22285i | −0.671561 | + | 0.740949i | ||||
\(4\) | 2.00000 | 0.500000 | ||||||||
\(5\) | 3.91845 | − | 3.10576i | 0.783690 | − | 0.621152i | ||||
\(6\) | 2.84919 | − | 3.14358i | 0.474865 | − | 0.523930i | ||||
\(7\) | 2.64575i | 0.377964i | ||||||||
\(8\) | −2.82843 | −0.353553 | ||||||||
\(9\) | −0.882103 | − | 8.95667i | −0.0980115 | − | 0.995185i | ||||
\(10\) | −5.54153 | + | 4.39221i | −0.554153 | + | 0.439221i | ||||
\(11\) | − | 6.10339i | − | 0.554853i | −0.960747 | − | 0.277427i | \(-0.910518\pi\) | ||
0.960747 | − | 0.277427i | \(-0.0894816\pi\) | |||||||
\(12\) | −4.02937 | + | 4.44570i | −0.335781 | + | 0.370475i | ||||
\(13\) | − | 6.09265i | − | 0.468666i | −0.972156 | − | 0.234333i | \(-0.924709\pi\) | ||
0.972156 | − | 0.234333i | \(-0.0752905\pi\) | |||||||
\(14\) | − | 3.74166i | − | 0.267261i | ||||||
\(15\) | −0.990810 | + | 14.9672i | −0.0660540 | + | 0.997816i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | −7.30179 | −0.429517 | −0.214758 | − | 0.976667i | \(-0.568896\pi\) | ||||
−0.214758 | + | 0.976667i | \(0.568896\pi\) | |||||||
\(18\) | 1.24748 | + | 12.6666i | 0.0693046 | + | 0.703702i | ||||
\(19\) | 31.7506 | 1.67109 | 0.835543 | − | 0.549424i | \(-0.185153\pi\) | ||||
0.835543 | + | 0.549424i | \(0.185153\pi\) | |||||||
\(20\) | 7.83690 | − | 6.21152i | 0.391845 | − | 0.310576i | ||||
\(21\) | −5.88110 | − | 5.33035i | −0.280052 | − | 0.253826i | ||||
\(22\) | 8.63149i | 0.392341i | ||||||||
\(23\) | 33.8856 | 1.47329 | 0.736644 | − | 0.676280i | \(-0.236409\pi\) | ||||
0.736644 | + | 0.676280i | \(0.236409\pi\) | |||||||
\(24\) | 5.69838 | − | 6.28716i | 0.237433 | − | 0.261965i | ||||
\(25\) | 5.70852 | − | 24.3395i | 0.228341 | − | 0.973581i | ||||
\(26\) | 8.61631i | 0.331397i | ||||||||
\(27\) | 21.6865 | + | 16.0841i | 0.803202 | + | 0.595706i | ||||
\(28\) | 5.29150i | 0.188982i | ||||||||
\(29\) | 41.0122i | 1.41421i | 0.707106 | + | 0.707107i | \(0.250000\pi\) | ||||
−0.707106 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(30\) | 1.40122 | − | 21.1669i | 0.0467072 | − | 0.705562i | ||||
\(31\) | 42.9120 | 1.38426 | 0.692129 | − | 0.721774i | \(-0.256673\pi\) | ||||
0.692129 | + | 0.721774i | \(0.256673\pi\) | |||||||
\(32\) | −5.65685 | −0.176777 | ||||||||
\(33\) | 13.5669 | + | 12.2964i | 0.411118 | + | 0.372618i | ||||
\(34\) | 10.3263 | 0.303714 | ||||||||
\(35\) | 8.21707 | + | 10.3672i | 0.234773 | + | 0.296207i | ||||
\(36\) | −1.76421 | − | 17.9133i | −0.0490057 | − | 0.497593i | ||||
\(37\) | − | 18.1246i | − | 0.489854i | −0.969542 | − | 0.244927i | \(-0.921236\pi\) | ||
0.969542 | − | 0.244927i | \(-0.0787640\pi\) | |||||||
\(38\) | −44.9022 | −1.18164 | ||||||||
\(39\) | 13.5430 | + | 12.2748i | 0.347257 | + | 0.314738i | ||||
\(40\) | −11.0831 | + | 8.78441i | −0.277076 | + | 0.219610i | ||||
\(41\) | − | 36.4331i | − | 0.888612i | −0.895875 | − | 0.444306i | \(-0.853450\pi\) | ||
0.895875 | − | 0.444306i | \(-0.146550\pi\) | |||||||
\(42\) | 8.31713 | + | 7.53825i | 0.198027 | + | 0.179482i | ||||
\(43\) | − | 17.7024i | − | 0.411684i | −0.978585 | − | 0.205842i | \(-0.934007\pi\) | ||
0.978585 | − | 0.205842i | \(-0.0659932\pi\) | |||||||
\(44\) | − | 12.2068i | − | 0.277427i | ||||||
\(45\) | −31.2737 | − | 32.3567i | −0.694972 | − | 0.719037i | ||||
\(46\) | −47.9215 | −1.04177 | ||||||||
\(47\) | −45.3150 | −0.964149 | −0.482074 | − | 0.876130i | \(-0.660116\pi\) | ||||
−0.482074 | + | 0.876130i | \(0.660116\pi\) | |||||||
\(48\) | −8.05873 | + | 8.89139i | −0.167890 | + | 0.185237i | ||||
\(49\) | −7.00000 | −0.142857 | ||||||||
\(50\) | −8.07307 | + | 34.4213i | −0.161461 | + | 0.688426i | ||||
\(51\) | 14.7108 | − | 16.2308i | 0.288447 | − | 0.318250i | ||||
\(52\) | − | 12.1853i | − | 0.234333i | ||||||
\(53\) | 18.1388 | 0.342242 | 0.171121 | − | 0.985250i | \(-0.445261\pi\) | ||||
0.171121 | + | 0.985250i | \(0.445261\pi\) | |||||||
\(54\) | −30.6693 | − | 22.7463i | −0.567950 | − | 0.421228i | ||||
\(55\) | −18.9557 | − | 23.9158i | −0.344648 | − | 0.434833i | ||||
\(56\) | − | 7.48331i | − | 0.133631i | ||||||
\(57\) | −63.9675 | + | 70.5769i | −1.12224 | + | 1.23819i | ||||
\(58\) | − | 58.0000i | − | 1.00000i | ||||||
\(59\) | − | 4.22725i | − | 0.0716482i | −0.999358 | − | 0.0358241i | \(-0.988594\pi\) | ||
0.999358 | − | 0.0358241i | \(-0.0114056\pi\) | |||||||
\(60\) | −1.98162 | + | 29.9345i | −0.0330270 | + | 0.498908i | ||||
\(61\) | 16.8936 | 0.276944 | 0.138472 | − | 0.990366i | \(-0.455781\pi\) | ||||
0.138472 | + | 0.990366i | \(0.455781\pi\) | |||||||
\(62\) | −60.6867 | −0.978818 | ||||||||
\(63\) | 23.6971 | − | 2.33383i | 0.376145 | − | 0.0370449i | ||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | −18.9223 | − | 23.8738i | −0.291112 | − | 0.367289i | ||||
\(66\) | −19.1865 | − | 17.3897i | −0.290704 | − | 0.263481i | ||||
\(67\) | 17.1392i | 0.255810i | 0.991786 | + | 0.127905i | \(0.0408252\pi\) | ||||
−0.991786 | + | 0.127905i | \(0.959175\pi\) | |||||||
\(68\) | −14.6036 | −0.214758 | ||||||||
\(69\) | −68.2688 | + | 75.3226i | −0.989404 | + | 1.09163i | ||||
\(70\) | −11.6207 | − | 14.6615i | −0.166010 | − | 0.209450i | ||||
\(71\) | 113.824i | 1.60316i | 0.597890 | + | 0.801578i | \(0.296006\pi\) | ||||
−0.597890 | + | 0.801578i | \(0.703994\pi\) | |||||||
\(72\) | 2.49497 | + | 25.3333i | 0.0346523 | + | 0.351851i | ||||
\(73\) | − | 105.073i | − | 1.43935i | −0.694311 | − | 0.719675i | \(-0.744291\pi\) | ||
0.694311 | − | 0.719675i | \(-0.255709\pi\) | |||||||
\(74\) | 25.6320i | 0.346379i | ||||||||
\(75\) | 42.6022 | + | 61.7256i | 0.568029 | + | 0.823008i | ||||
\(76\) | 63.5013 | 0.835543 | ||||||||
\(77\) | 16.1480 | 0.209715 | ||||||||
\(78\) | −19.1527 | − | 17.3591i | −0.245548 | − | 0.222553i | ||||
\(79\) | −74.8132 | −0.947003 | −0.473501 | − | 0.880793i | \(-0.657010\pi\) | ||||
−0.473501 | + | 0.880793i | \(0.657010\pi\) | |||||||
\(80\) | 15.6738 | − | 12.4230i | 0.195923 | − | 0.155288i | ||||
\(81\) | −79.4438 | + | 15.8014i | −0.980787 | + | 0.195079i | ||||
\(82\) | 51.5242i | 0.628344i | ||||||||
\(83\) | 76.5950 | 0.922831 | 0.461416 | − | 0.887184i | \(-0.347342\pi\) | ||||
0.461416 | + | 0.887184i | \(0.347342\pi\) | |||||||
\(84\) | −11.7622 | − | 10.6607i | −0.140026 | − | 0.126913i | ||||
\(85\) | −28.6117 | + | 22.6776i | −0.336608 | + | 0.266795i | ||||
\(86\) | 25.0350i | 0.291104i | ||||||||
\(87\) | −91.1639 | − | 82.6266i | −1.04786 | − | 0.949732i | ||||
\(88\) | 17.2630i | 0.196170i | ||||||||
\(89\) | − | 26.8568i | − | 0.301762i | −0.988552 | − | 0.150881i | \(-0.951789\pi\) | ||
0.988552 | − | 0.150881i | \(-0.0482110\pi\) | |||||||
\(90\) | 44.2277 | + | 45.7592i | 0.491419 | + | 0.508436i | ||||
\(91\) | 16.1196 | 0.177139 | ||||||||
\(92\) | 67.7713 | 0.736644 | ||||||||
\(93\) | −86.4541 | + | 95.3868i | −0.929614 | + | 1.02566i | ||||
\(94\) | 64.0851 | 0.681756 | ||||||||
\(95\) | 124.413 | − | 98.6099i | 1.30961 | − | 1.03800i | ||||
\(96\) | 11.3968 | − | 12.5743i | 0.118716 | − | 0.130983i | ||||
\(97\) | 120.087i | 1.23801i | 0.785387 | + | 0.619005i | \(0.212464\pi\) | ||||
−0.785387 | + | 0.619005i | \(0.787536\pi\) | |||||||
\(98\) | 9.89949 | 0.101015 | ||||||||
\(99\) | −54.6660 | + | 5.38382i | −0.552182 | + | 0.0543820i | ||||
\(100\) | 11.4170 | − | 48.6791i | 0.114170 | − | 0.486791i | ||||
\(101\) | − | 162.983i | − | 1.61369i | −0.590764 | − | 0.806844i | \(-0.701174\pi\) | ||
0.590764 | − | 0.806844i | \(-0.298826\pi\) | |||||||
\(102\) | −20.8042 | + | 22.9538i | −0.203963 | + | 0.225037i | ||||
\(103\) | − | 186.379i | − | 1.80951i | −0.425937 | − | 0.904753i | \(-0.640056\pi\) | ||
0.425937 | − | 0.904753i | \(-0.359944\pi\) | |||||||
\(104\) | 17.2326i | 0.165698i | ||||||||
\(105\) | −39.5996 | − | 2.62144i | −0.377139 | − | 0.0249661i | ||||
\(106\) | −25.6522 | −0.242002 | ||||||||
\(107\) | −164.926 | −1.54136 | −0.770681 | − | 0.637221i | \(-0.780084\pi\) | ||||
−0.770681 | + | 0.637221i | \(0.780084\pi\) | |||||||
\(108\) | 43.3729 | + | 32.1681i | 0.401601 | + | 0.297853i | ||||
\(109\) | −96.6905 | −0.887069 | −0.443535 | − | 0.896257i | \(-0.646276\pi\) | ||||
−0.443535 | + | 0.896257i | \(0.646276\pi\) | |||||||
\(110\) | 26.8073 | + | 33.8221i | 0.243703 | + | 0.307474i | ||||
\(111\) | 40.2882 | + | 36.5153i | 0.362957 | + | 0.328967i | ||||
\(112\) | 10.5830i | 0.0944911i | ||||||||
\(113\) | 112.284 | 0.993660 | 0.496830 | − | 0.867848i | \(-0.334497\pi\) | ||||
0.496830 | + | 0.867848i | \(0.334497\pi\) | |||||||
\(114\) | 90.4637 | − | 99.8107i | 0.793541 | − | 0.875533i | ||||
\(115\) | 132.779 | − | 105.241i | 1.15460 | − | 0.915136i | ||||
\(116\) | 82.0245i | 0.707107i | ||||||||
\(117\) | −54.5699 | + | 5.37435i | −0.466409 | + | 0.0459346i | ||||
\(118\) | 5.97823i | 0.0506629i | ||||||||
\(119\) | − | 19.3187i | − | 0.162342i | ||||||
\(120\) | 2.80243 | − | 42.3337i | 0.0233536 | − | 0.352781i | ||||
\(121\) | 83.7487 | 0.692138 | ||||||||
\(122\) | −23.8911 | −0.195829 | ||||||||
\(123\) | 80.9852 | + | 73.4012i | 0.658417 | + | 0.596757i | ||||
\(124\) | 85.8240 | 0.692129 | ||||||||
\(125\) | −53.2241 | − | 113.103i | −0.425793 | − | 0.904821i | ||||
\(126\) | −33.5128 | + | 3.30053i | −0.265974 | + | 0.0261947i | ||||
\(127\) | 197.632i | 1.55616i | 0.628167 | + | 0.778078i | \(0.283805\pi\) | ||||
−0.628167 | + | 0.778078i | \(0.716195\pi\) | |||||||
\(128\) | −11.3137 | −0.0883883 | ||||||||
\(129\) | 39.3497 | + | 35.6647i | 0.305037 | + | 0.276471i | ||||
\(130\) | 26.7602 | + | 33.7626i | 0.205848 | + | 0.259712i | ||||
\(131\) | 38.0418i | 0.290396i | 0.989403 | + | 0.145198i | \(0.0463819\pi\) | ||||
−0.989403 | + | 0.145198i | \(0.953618\pi\) | |||||||
\(132\) | 27.1338 | + | 24.5928i | 0.205559 | + | 0.186309i | ||||
\(133\) | 84.0043i | 0.631611i | ||||||||
\(134\) | − | 24.2385i | − | 0.180885i | ||||||
\(135\) | 134.931 | − | 4.32830i | 0.999486 | − | 0.0320615i | ||||
\(136\) | 20.6526 | 0.151857 | ||||||||
\(137\) | −43.7923 | −0.319652 | −0.159826 | − | 0.987145i | \(-0.551093\pi\) | ||||
−0.159826 | + | 0.987145i | \(0.551093\pi\) | |||||||
\(138\) | 96.5467 | − | 106.522i | 0.699614 | − | 0.771901i | ||||
\(139\) | −175.928 | −1.26567 | −0.632836 | − | 0.774286i | \(-0.718109\pi\) | ||||
−0.632836 | + | 0.774286i | \(0.718109\pi\) | |||||||
\(140\) | 16.4341 | + | 20.7345i | 0.117387 | + | 0.148104i | ||||
\(141\) | 91.2953 | − | 100.728i | 0.647485 | − | 0.714385i | ||||
\(142\) | − | 160.972i | − | 1.13360i | ||||||
\(143\) | −37.1858 | −0.260041 | ||||||||
\(144\) | −3.52841 | − | 35.8267i | −0.0245029 | − | 0.248796i | ||||
\(145\) | 127.374 | + | 160.704i | 0.878442 | + | 1.10831i | ||||
\(146\) | 148.595i | 1.01777i | ||||||||
\(147\) | 14.1028 | − | 15.5599i | 0.0959373 | − | 0.105850i | ||||
\(148\) | − | 36.2492i | − | 0.244927i | ||||||
\(149\) | − | 150.593i | − | 1.01069i | −0.862917 | − | 0.505345i | \(-0.831365\pi\) | ||
0.862917 | − | 0.505345i | \(-0.168635\pi\) | |||||||
\(150\) | −60.2486 | − | 87.2932i | −0.401657 | − | 0.581955i | ||||
\(151\) | −5.63028 | −0.0372866 | −0.0186433 | − | 0.999826i | \(-0.505935\pi\) | ||||
−0.0186433 | + | 0.999826i | \(0.505935\pi\) | |||||||
\(152\) | −89.8044 | −0.590818 | ||||||||
\(153\) | 6.44093 | + | 65.3997i | 0.0420976 | + | 0.427449i | ||||
\(154\) | −22.8368 | −0.148291 | ||||||||
\(155\) | 168.149 | − | 133.274i | 1.08483 | − | 0.859834i | ||||
\(156\) | 27.0861 | + | 24.5495i | 0.173629 | + | 0.157369i | ||||
\(157\) | 119.059i | 0.758341i | 0.925327 | + | 0.379170i | \(0.123791\pi\) | ||||
−0.925327 | + | 0.379170i | \(0.876209\pi\) | |||||||
\(158\) | 105.802 | 0.669632 | ||||||||
\(159\) | −36.5440 | + | 40.3199i | −0.229837 | + | 0.253584i | ||||
\(160\) | −22.1661 | + | 17.5688i | −0.138538 | + | 0.109805i | ||||
\(161\) | 89.6530i | 0.556851i | ||||||||
\(162\) | 112.350 | − | 22.3466i | 0.693521 | − | 0.137942i | ||||
\(163\) | 74.5829i | 0.457564i | 0.973478 | + | 0.228782i | \(0.0734743\pi\) | ||||
−0.973478 | + | 0.228782i | \(0.926526\pi\) | |||||||
\(164\) | − | 72.8662i | − | 0.444306i | ||||||
\(165\) | 91.3509 | + | 6.04729i | 0.553642 | + | 0.0366503i | ||||
\(166\) | −108.322 | −0.652540 | ||||||||
\(167\) | 114.419 | 0.685144 | 0.342572 | − | 0.939492i | \(-0.388702\pi\) | ||||
0.342572 | + | 0.939492i | \(0.388702\pi\) | |||||||
\(168\) | 16.6343 | + | 15.0765i | 0.0990135 | + | 0.0897411i | ||||
\(169\) | 131.880 | 0.780353 | ||||||||
\(170\) | 40.4630 | − | 32.0710i | 0.238018 | − | 0.188653i | ||||
\(171\) | −28.0074 | − | 284.380i | −0.163786 | − | 1.66304i | ||||
\(172\) | − | 35.4048i | − | 0.205842i | ||||||
\(173\) | −173.820 | −1.00474 | −0.502370 | − | 0.864653i | \(-0.667538\pi\) | ||||
−0.502370 | + | 0.864653i | \(0.667538\pi\) | |||||||
\(174\) | 128.925 | + | 116.852i | 0.740950 | + | 0.671562i | ||||
\(175\) | 64.3963 | + | 15.1033i | 0.367979 | + | 0.0863048i | ||||
\(176\) | − | 24.4136i | − | 0.138713i | ||||||
\(177\) | 9.39652 | + | 8.51656i | 0.0530877 | + | 0.0481162i | ||||
\(178\) | 37.9812i | 0.213378i | ||||||||
\(179\) | 134.192i | 0.749677i | 0.927090 | + | 0.374838i | \(0.122302\pi\) | ||||
−0.927090 | + | 0.374838i | \(0.877698\pi\) | |||||||
\(180\) | −62.5475 | − | 64.7133i | −0.347486 | − | 0.359519i | ||||
\(181\) | −199.113 | −1.10007 | −0.550036 | − | 0.835141i | \(-0.685386\pi\) | ||||
−0.550036 | + | 0.835141i | \(0.685386\pi\) | |||||||
\(182\) | −22.7966 | −0.125256 | ||||||||
\(183\) | −34.0352 | + | 37.5518i | −0.185985 | + | 0.205201i | ||||
\(184\) | −95.8431 | −0.520886 | ||||||||
\(185\) | −56.2906 | − | 71.0203i | −0.304274 | − | 0.383894i | ||||
\(186\) | 122.265 | − | 134.897i | 0.657336 | − | 0.725255i | ||||
\(187\) | 44.5656i | 0.238319i | ||||||||
\(188\) | −90.6300 | −0.482074 | ||||||||
\(189\) | −42.5544 | + | 57.3770i | −0.225156 | + | 0.303582i | ||||
\(190\) | −175.947 | + | 139.455i | −0.926037 | + | 0.733976i | ||||
\(191\) | 224.206i | 1.17385i | 0.809640 | + | 0.586927i | \(0.199662\pi\) | ||||
−0.809640 | + | 0.586927i | \(0.800338\pi\) | |||||||
\(192\) | −16.1175 | + | 17.7828i | −0.0839451 | + | 0.0926187i | ||||
\(193\) | 340.124i | 1.76230i | 0.472838 | + | 0.881149i | \(0.343230\pi\) | ||||
−0.472838 | + | 0.881149i | \(0.656770\pi\) | |||||||
\(194\) | − | 169.829i | − | 0.875405i | ||||||
\(195\) | 91.1902 | + | 6.03666i | 0.467642 | + | 0.0309572i | ||||
\(196\) | −14.0000 | −0.0714286 | ||||||||
\(197\) | 115.404 | 0.585805 | 0.292903 | − | 0.956142i | \(-0.405379\pi\) | ||||
0.292903 | + | 0.956142i | \(0.405379\pi\) | |||||||
\(198\) | 77.3094 | − | 7.61387i | 0.390452 | − | 0.0384539i | ||||
\(199\) | 186.569 | 0.937534 | 0.468767 | − | 0.883322i | \(-0.344698\pi\) | ||||
0.468767 | + | 0.883322i | \(0.344698\pi\) | |||||||
\(200\) | −16.1461 | + | 68.8426i | −0.0807307 | + | 0.344213i | ||||
\(201\) | −38.0979 | − | 34.5301i | −0.189542 | − | 0.171792i | ||||
\(202\) | 230.492i | 1.14105i | ||||||||
\(203\) | −108.508 | −0.534523 | ||||||||
\(204\) | 29.4216 | − | 32.4615i | 0.144223 | − | 0.159125i | ||||
\(205\) | −113.152 | − | 142.761i | −0.551963 | − | 0.696397i | ||||
\(206\) | 263.580i | 1.27951i | ||||||||
\(207\) | −29.8906 | − | 303.502i | −0.144399 | − | 1.46620i | ||||
\(208\) | − | 24.3706i | − | 0.117166i | ||||||
\(209\) | − | 193.787i | − | 0.927208i | ||||||
\(210\) | 56.0023 | + | 3.70727i | 0.266678 | + | 0.0176537i | ||||
\(211\) | −348.892 | −1.65352 | −0.826759 | − | 0.562556i | \(-0.809818\pi\) | ||||
−0.826759 | + | 0.562556i | \(0.809818\pi\) | |||||||
\(212\) | 36.2777 | 0.171121 | ||||||||
\(213\) | −253.014 | − | 229.320i | −1.18786 | − | 1.07662i | ||||
\(214\) | 233.240 | 1.08991 | ||||||||
\(215\) | −54.9794 | − | 69.3660i | −0.255718 | − | 0.322633i | ||||
\(216\) | −61.3386 | − | 45.4926i | −0.283975 | − | 0.210614i | ||||
\(217\) | 113.534i | 0.523200i | ||||||||
\(218\) | 136.741 | 0.627253 | ||||||||
\(219\) | 233.560 | + | 211.688i | 1.06649 | + | 0.966611i | ||||
\(220\) | −37.9113 | − | 47.8317i | −0.172324 | − | 0.217417i | ||||
\(221\) | 44.4872i | 0.201300i | ||||||||
\(222\) | −56.9761 | − | 51.6404i | −0.256649 | − | 0.232615i | ||||
\(223\) | − | 442.370i | − | 1.98372i | −0.127331 | − | 0.991860i | \(-0.540641\pi\) | ||
0.127331 | − | 0.991860i | \(-0.459359\pi\) | |||||||
\(224\) | − | 14.9666i | − | 0.0668153i | ||||||
\(225\) | −223.037 | − | 29.6594i | −0.991274 | − | 0.131819i | ||||
\(226\) | −158.793 | −0.702624 | ||||||||
\(227\) | 105.606 | 0.465225 | 0.232613 | − | 0.972569i | \(-0.425273\pi\) | ||||
0.232613 | + | 0.972569i | \(0.425273\pi\) | |||||||
\(228\) | −127.935 | + | 141.154i | −0.561118 | + | 0.619095i | ||||
\(229\) | −300.234 | −1.31107 | −0.655534 | − | 0.755166i | \(-0.727556\pi\) | ||||
−0.655534 | + | 0.755166i | \(0.727556\pi\) | |||||||
\(230\) | −187.778 | + | 148.833i | −0.816427 | + | 0.647099i | ||||
\(231\) | −32.5332 | + | 35.8946i | −0.140836 | + | 0.155388i | ||||
\(232\) | − | 116.000i | − | 0.500000i | ||||||
\(233\) | −224.338 | −0.962823 | −0.481411 | − | 0.876495i | \(-0.659876\pi\) | ||||
−0.481411 | + | 0.876495i | \(0.659876\pi\) | |||||||
\(234\) | 77.1734 | − | 7.60048i | 0.329801 | − | 0.0324807i | ||||
\(235\) | −177.565 | + | 140.737i | −0.755594 | + | 0.598883i | ||||
\(236\) | − | 8.45449i | − | 0.0358241i | ||||||
\(237\) | 150.725 | − | 166.298i | 0.635970 | − | 0.701681i | ||||
\(238\) | 27.3208i | 0.114793i | ||||||||
\(239\) | 298.399i | 1.24853i | 0.781212 | + | 0.624266i | \(0.214602\pi\) | ||||
−0.781212 | + | 0.624266i | \(0.785398\pi\) | |||||||
\(240\) | −3.96324 | + | 59.8690i | −0.0165135 | + | 0.249454i | ||||
\(241\) | 37.2693 | 0.154645 | 0.0773223 | − | 0.997006i | \(-0.475363\pi\) | ||||
0.0773223 | + | 0.997006i | \(0.475363\pi\) | |||||||
\(242\) | −118.438 | −0.489415 | ||||||||
\(243\) | 124.930 | − | 208.426i | 0.514115 | − | 0.857721i | ||||
\(244\) | 33.7872 | 0.138472 | ||||||||
\(245\) | −27.4292 | + | 21.7403i | −0.111956 | + | 0.0887360i | ||||
\(246\) | −114.530 | − | 103.805i | −0.465571 | − | 0.421971i | ||||
\(247\) | − | 193.446i | − | 0.783181i | ||||||
\(248\) | −121.373 | −0.489409 | ||||||||
\(249\) | −154.315 | + | 170.259i | −0.619738 | + | 0.683771i | ||||
\(250\) | 75.2703 | + | 159.951i | 0.301081 | + | 0.639805i | ||||
\(251\) | 247.604i | 0.986471i | 0.869896 | + | 0.493235i | \(0.164186\pi\) | ||||
−0.869896 | + | 0.493235i | \(0.835814\pi\) | |||||||
\(252\) | 47.3942 | − | 4.66765i | 0.188072 | − | 0.0185224i | ||||
\(253\) | − | 206.817i | − | 0.817459i | ||||||
\(254\) | − | 279.494i | − | 1.10037i | ||||||
\(255\) | 7.23468 | − | 109.288i | 0.0283713 | − | 0.428579i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 75.6252 | 0.294262 | 0.147131 | − | 0.989117i | \(-0.452996\pi\) | ||||
0.147131 | + | 0.989117i | \(0.452996\pi\) | |||||||
\(258\) | −55.6489 | − | 50.4375i | −0.215694 | − | 0.195494i | ||||
\(259\) | 47.9532 | 0.185147 | ||||||||
\(260\) | −37.8446 | − | 47.7475i | −0.145556 | − | 0.183644i | ||||
\(261\) | 367.333 | − | 36.1770i | 1.40741 | − | 0.138609i | ||||
\(262\) | − | 53.7993i | − | 0.205341i | ||||||
\(263\) | 56.5685 | 0.215089 | 0.107545 | − | 0.994200i | \(-0.465701\pi\) | ||||
0.107545 | + | 0.994200i | \(0.465701\pi\) | |||||||
\(264\) | −38.3730 | − | 34.7795i | −0.145352 | − | 0.131740i | ||||
\(265\) | 71.0762 | − | 56.3349i | 0.268212 | − | 0.212584i | ||||
\(266\) | − | 118.800i | − | 0.446617i | ||||||
\(267\) | 59.6985 | + | 54.1079i | 0.223590 | + | 0.202651i | ||||
\(268\) | 34.2785i | 0.127905i | ||||||||
\(269\) | 253.707i | 0.943149i | 0.881826 | + | 0.471574i | \(0.156314\pi\) | ||||
−0.881826 | + | 0.471574i | \(0.843686\pi\) | |||||||
\(270\) | −190.821 | + | 6.12114i | −0.706743 | + | 0.0226709i | ||||
\(271\) | 256.392 | 0.946096 | 0.473048 | − | 0.881037i | \(-0.343154\pi\) | ||||
0.473048 | + | 0.881037i | \(0.343154\pi\) | |||||||
\(272\) | −29.2071 | −0.107379 | ||||||||
\(273\) | −32.4760 | + | 35.8315i | −0.118960 | + | 0.131251i | ||||
\(274\) | 61.9317 | 0.226028 | ||||||||
\(275\) | −148.554 | − | 34.8413i | −0.540195 | − | 0.126696i | ||||
\(276\) | −136.538 | + | 150.645i | −0.494702 | + | 0.545816i | ||||
\(277\) | − | 185.677i | − | 0.670312i | −0.942163 | − | 0.335156i | \(-0.891211\pi\) | ||
0.942163 | − | 0.335156i | \(-0.108789\pi\) | |||||||
\(278\) | 248.800 | 0.894966 | ||||||||
\(279\) | −37.8528 | − | 384.349i | −0.135673 | − | 1.37759i | ||||
\(280\) | −23.2414 | − | 29.3230i | −0.0830049 | − | 0.104725i | ||||
\(281\) | 260.250i | 0.926157i | 0.886317 | + | 0.463078i | \(0.153255\pi\) | ||||
−0.886317 | + | 0.463078i | \(0.846745\pi\) | |||||||
\(282\) | −129.111 | + | 142.451i | −0.457841 | + | 0.505147i | ||||
\(283\) | 445.523i | 1.57429i | 0.616770 | + | 0.787143i | \(0.288441\pi\) | ||||
−0.616770 | + | 0.787143i | \(0.711559\pi\) | |||||||
\(284\) | 227.648i | 0.801578i | ||||||||
\(285\) | −31.4588 | + | 475.220i | −0.110382 | + | 1.66744i | ||||
\(286\) | 52.5887 | 0.183877 | ||||||||
\(287\) | 96.3929 | 0.335864 | ||||||||
\(288\) | 4.98993 | + | 50.6666i | 0.0173261 | + | 0.175926i | ||||
\(289\) | −235.684 | −0.815515 | ||||||||
\(290\) | −180.134 | − | 227.270i | −0.621152 | − | 0.783691i | ||||
\(291\) | −266.935 | − | 241.937i | −0.917302 | − | 0.831399i | ||||
\(292\) | − | 210.145i | − | 0.719675i | ||||||
\(293\) | 173.565 | 0.592371 | 0.296186 | − | 0.955130i | \(-0.404285\pi\) | ||||
0.296186 | + | 0.955130i | \(0.404285\pi\) | |||||||
\(294\) | −19.9443 | + | 22.0051i | −0.0678379 | + | 0.0748472i | ||||
\(295\) | −13.1288 | − | 16.5643i | −0.0445044 | − | 0.0561500i | ||||
\(296\) | 51.2641i | 0.173189i | ||||||||
\(297\) | 98.1673 | − | 132.361i | 0.330530 | − | 0.445660i | ||||
\(298\) | 212.971i | 0.714666i | ||||||||
\(299\) | − | 206.453i | − | 0.690480i | ||||||
\(300\) | 85.2044 | + | 123.451i | 0.284015 | + | 0.411504i | ||||
\(301\) | 46.8361 | 0.155602 | ||||||||
\(302\) | 7.96241 | 0.0263656 | ||||||||
\(303\) | 362.285 | + | 328.358i | 1.19566 | + | 1.08369i | ||||
\(304\) | 127.003 | 0.417772 | ||||||||
\(305\) | 66.1967 | − | 52.4674i | 0.217038 | − | 0.172024i | ||||
\(306\) | −9.10885 | − | 92.4891i | −0.0297675 | − | 0.302252i | ||||
\(307\) | − | 243.521i | − | 0.793227i | −0.917986 | − | 0.396613i | \(-0.870185\pi\) | ||
0.917986 | − | 0.396613i | \(-0.129815\pi\) | |||||||
\(308\) | 32.2961 | 0.104857 | ||||||||
\(309\) | 414.292 | + | 375.495i | 1.34075 | + | 1.21519i | ||||
\(310\) | −237.798 | + | 188.478i | −0.767090 | + | 0.607995i | ||||
\(311\) | 257.759i | 0.828809i | 0.910093 | + | 0.414404i | \(0.136010\pi\) | ||||
−0.910093 | + | 0.414404i | \(0.863990\pi\) | |||||||
\(312\) | −38.3055 | − | 34.7183i | −0.122774 | − | 0.111277i | ||||
\(313\) | − | 156.412i | − | 0.499718i | −0.968282 | − | 0.249859i | \(-0.919616\pi\) | ||
0.968282 | − | 0.249859i | \(-0.0803842\pi\) | |||||||
\(314\) | − | 168.376i | − | 0.536228i | ||||||
\(315\) | 85.6077 | − | 82.7425i | 0.271770 | − | 0.262675i | ||||
\(316\) | −149.626 | −0.473501 | ||||||||
\(317\) | 269.689 | 0.850754 | 0.425377 | − | 0.905016i | \(-0.360142\pi\) | ||||
0.425377 | + | 0.905016i | \(0.360142\pi\) | |||||||
\(318\) | 51.6811 | − | 57.0209i | 0.162519 | − | 0.179311i | ||||
\(319\) | 250.314 | 0.784682 | ||||||||
\(320\) | 31.3476 | − | 24.8461i | 0.0979613 | − | 0.0776440i | ||||
\(321\) | 332.273 | − | 366.605i | 1.03512 | − | 1.14207i | ||||
\(322\) | − | 126.788i | − | 0.393753i | ||||||
\(323\) | −231.836 | −0.717760 | ||||||||
\(324\) | −158.888 | + | 31.6028i | −0.490394 | + | 0.0975396i | ||||
\(325\) | −148.292 | − | 34.7801i | −0.456284 | − | 0.107016i | ||||
\(326\) | − | 105.476i | − | 0.323547i | ||||||
\(327\) | 194.801 | − | 214.928i | 0.595721 | − | 0.657273i | ||||
\(328\) | 103.048i | 0.314172i | ||||||||
\(329\) | − | 119.892i | − | 0.364414i | ||||||
\(330\) | −129.190 | − | 8.55217i | −0.391484 | − | 0.0259157i | ||||
\(331\) | 100.748 | 0.304374 | 0.152187 | − | 0.988352i | \(-0.451368\pi\) | ||||
0.152187 | + | 0.988352i | \(0.451368\pi\) | |||||||
\(332\) | 153.190 | 0.461416 | ||||||||
\(333\) | −162.336 | + | 15.9878i | −0.487495 | + | 0.0480113i | ||||
\(334\) | −161.813 | −0.484470 | ||||||||
\(335\) | 53.2304 | + | 67.1593i | 0.158897 | + | 0.200475i | ||||
\(336\) | −23.5244 | − | 21.3214i | −0.0700131 | − | 0.0634566i | ||||
\(337\) | − | 172.052i | − | 0.510541i | −0.966870 | − | 0.255270i | \(-0.917835\pi\) | ||
0.966870 | − | 0.255270i | \(-0.0821645\pi\) | |||||||
\(338\) | −186.506 | −0.551793 | ||||||||
\(339\) | −226.216 | + | 249.589i | −0.667303 | + | 0.736252i | ||||
\(340\) | −57.2234 | + | 45.3552i | −0.168304 | + | 0.133398i | ||||
\(341\) | − | 261.909i | − | 0.768060i | ||||||
\(342\) | 39.6084 | + | 402.174i | 0.115814 | + | 1.17595i | ||||
\(343\) | − | 18.5203i | − | 0.0539949i | ||||||
\(344\) | 50.0699i | 0.145552i | ||||||||
\(345\) | −33.5742 | + | 507.175i | −0.0973166 | + | 1.47007i | ||||
\(346\) | 245.818 | 0.710458 | ||||||||
\(347\) | −376.866 | −1.08607 | −0.543034 | − | 0.839711i | \(-0.682725\pi\) | ||||
−0.543034 | + | 0.839711i | \(0.682725\pi\) | |||||||
\(348\) | −182.328 | − | 165.253i | −0.523931 | − | 0.474866i | ||||
\(349\) | −334.570 | −0.958652 | −0.479326 | − | 0.877637i | \(-0.659119\pi\) | ||||
−0.479326 | + | 0.877637i | \(0.659119\pi\) | |||||||
\(350\) | −91.0702 | − | 21.3593i | −0.260201 | − | 0.0610267i | ||||
\(351\) | 97.9946 | − | 132.128i | 0.279187 | − | 0.376433i | ||||
\(352\) | 34.5260i | 0.0980852i | ||||||||
\(353\) | 291.223 | 0.824995 | 0.412497 | − | 0.910959i | \(-0.364657\pi\) | ||||
0.412497 | + | 0.910959i | \(0.364657\pi\) | |||||||
\(354\) | −13.2887 | − | 12.0442i | −0.0375387 | − | 0.0340233i | ||||
\(355\) | 353.510 | + | 446.014i | 0.995804 | + | 1.25638i | ||||
\(356\) | − | 53.7136i | − | 0.150881i | ||||||
\(357\) | 42.9426 | + | 38.9211i | 0.120287 | + | 0.109023i | ||||
\(358\) | − | 189.776i | − | 0.530102i | ||||||
\(359\) | 204.579i | 0.569858i | 0.958549 | + | 0.284929i | \(0.0919701\pi\) | ||||
−0.958549 | + | 0.284929i | \(0.908030\pi\) | |||||||
\(360\) | 88.4555 | + | 91.5185i | 0.245710 | + | 0.254218i | ||||
\(361\) | 647.104 | 1.79253 | ||||||||
\(362\) | 281.589 | 0.777869 | ||||||||
\(363\) | −168.727 | + | 186.161i | −0.464813 | + | 0.512839i | ||||
\(364\) | 32.2393 | 0.0885695 | ||||||||
\(365\) | −326.330 | − | 411.722i | −0.894055 | − | 1.12800i | ||||
\(366\) | 48.1331 | − | 53.1063i | 0.131511 | − | 0.145099i | ||||
\(367\) | 242.592i | 0.661015i | 0.943803 | + | 0.330507i | \(0.107220\pi\) | ||||
−0.943803 | + | 0.330507i | \(0.892780\pi\) | |||||||
\(368\) | 135.543 | 0.368322 | ||||||||
\(369\) | −326.319 | + | 32.1378i | −0.884334 | + | 0.0870942i | ||||
\(370\) | 79.6069 | + | 100.438i | 0.215154 | + | 0.271454i | ||||
\(371\) | 47.9909i | 0.129355i | ||||||||
\(372\) | −172.908 | + | 190.774i | −0.464807 | + | 0.512832i | ||||
\(373\) | 101.784i | 0.272880i | 0.990648 | + | 0.136440i | \(0.0435660\pi\) | ||||
−0.990648 | + | 0.136440i | \(0.956434\pi\) | |||||||
\(374\) | − | 63.0253i | − | 0.168517i | ||||||
\(375\) | 358.640 | + | 109.557i | 0.956372 | + | 0.292151i | ||||
\(376\) | 128.170 | 0.340878 | ||||||||
\(377\) | 249.873 | 0.662794 | ||||||||
\(378\) | 60.1811 | − | 81.1433i | 0.159209 | − | 0.214665i | ||||
\(379\) | 247.028 | 0.651789 | 0.325894 | − | 0.945406i | \(-0.394335\pi\) | ||||
0.325894 | + | 0.945406i | \(0.394335\pi\) | |||||||
\(380\) | 248.827 | − | 197.220i | 0.654807 | − | 0.518999i | ||||
\(381\) | −439.306 | − | 398.166i | −1.15303 | − | 1.04505i | ||||
\(382\) | − | 317.075i | − | 0.830040i | ||||||
\(383\) | 18.9699 | 0.0495297 | 0.0247649 | − | 0.999693i | \(-0.492116\pi\) | ||||
0.0247649 | + | 0.999693i | \(0.492116\pi\) | |||||||
\(384\) | 22.7935 | − | 25.1487i | 0.0593582 | − | 0.0654913i | ||||
\(385\) | 63.2753 | − | 50.1519i | 0.164352 | − | 0.130265i | ||||
\(386\) | − | 481.008i | − | 1.24613i | ||||||
\(387\) | −158.554 | + | 15.6153i | −0.409702 | + | 0.0403497i | ||||
\(388\) | 240.174i | 0.619005i | ||||||||
\(389\) | − | 623.289i | − | 1.60229i | −0.598473 | − | 0.801143i | \(-0.704226\pi\) | ||
0.598473 | − | 0.801143i | \(-0.295774\pi\) | |||||||
\(390\) | −128.962 | − | 8.53712i | −0.330673 | − | 0.0218901i | ||||
\(391\) | −247.426 | −0.632802 | ||||||||
\(392\) | 19.7990 | 0.0505076 | ||||||||
\(393\) | −84.5612 | − | 76.6422i | −0.215168 | − | 0.195018i | ||||
\(394\) | −163.205 | −0.414227 | ||||||||
\(395\) | −293.152 | + | 232.352i | −0.742157 | + | 0.588232i | ||||
\(396\) | −109.332 | + | 10.7676i | −0.276091 | + | 0.0271910i | ||||
\(397\) | 368.913i | 0.929253i | 0.885507 | + | 0.464626i | \(0.153811\pi\) | ||||
−0.885507 | + | 0.464626i | \(0.846189\pi\) | |||||||
\(398\) | −263.849 | −0.662937 | ||||||||
\(399\) | −186.729 | − | 169.242i | −0.467992 | − | 0.424166i | ||||
\(400\) | 22.8341 | − | 97.3581i | 0.0570852 | − | 0.243395i | ||||
\(401\) | − | 291.137i | − | 0.726027i | −0.931784 | − | 0.363014i | \(-0.881748\pi\) | ||
0.931784 | − | 0.363014i | \(-0.118252\pi\) | |||||||
\(402\) | 53.8786 | + | 48.8330i | 0.134026 | + | 0.121475i | ||||
\(403\) | − | 261.448i | − | 0.648754i | ||||||
\(404\) | − | 325.965i | − | 0.806844i | ||||||
\(405\) | −262.221 | + | 308.650i | −0.647460 | + | 0.762100i | ||||
\(406\) | 153.454 | 0.377965 | ||||||||
\(407\) | −110.621 | −0.271797 | ||||||||
\(408\) | −41.6084 | + | 45.9075i | −0.101981 | + | 0.112518i | ||||
\(409\) | −131.054 | −0.320425 | −0.160212 | − | 0.987083i | \(-0.551218\pi\) | ||||
−0.160212 | + | 0.987083i | \(0.551218\pi\) | |||||||
\(410\) | 160.022 | + | 201.895i | 0.390297 | + | 0.492427i | ||||
\(411\) | 88.2277 | − | 97.3437i | 0.214666 | − | 0.236846i | ||||
\(412\) | − | 372.758i | − | 0.904753i | ||||||
\(413\) | 11.1842 | 0.0270805 | ||||||||
\(414\) | 42.2718 | + | 429.217i | 0.102106 | + | 1.03676i | ||||
\(415\) | 300.134 | − | 237.886i | 0.723214 | − | 0.573218i | ||||
\(416\) | 34.4652i | 0.0828492i | ||||||||
\(417\) | 354.440 | − | 391.062i | 0.849976 | − | 0.937799i | ||||
\(418\) | 274.056i | 0.655635i | ||||||||
\(419\) | − | 639.030i | − | 1.52513i | −0.646911 | − | 0.762566i | \(-0.723939\pi\) | ||
0.646911 | − | 0.762566i | \(-0.276061\pi\) | |||||||
\(420\) | −79.1992 | − | 5.24287i | −0.188570 | − | 0.0124830i | ||||
\(421\) | 496.330 | 1.17893 | 0.589466 | − | 0.807793i | \(-0.299338\pi\) | ||||
0.589466 | + | 0.807793i | \(0.299338\pi\) | |||||||
\(422\) | 493.408 | 1.16921 | ||||||||
\(423\) | 39.9725 | + | 405.871i | 0.0944976 | + | 0.959506i | ||||
\(424\) | −51.3044 | −0.121001 | ||||||||
\(425\) | −41.6824 | + | 177.722i | −0.0980763 | + | 0.418170i | ||||
\(426\) | 357.815 | + | 324.307i | 0.839942 | + | 0.761284i | ||||
\(427\) | 44.6962i | 0.104675i | ||||||||
\(428\) | −329.851 | −0.770681 | ||||||||
\(429\) | 74.9177 | − | 82.6584i | 0.174633 | − | 0.192677i | ||||
\(430\) | 77.7526 | + | 98.0983i | 0.180820 | + | 0.228136i | ||||
\(431\) | 242.169i | 0.561877i | 0.959726 | + | 0.280939i | \(0.0906457\pi\) | ||||
−0.959726 | + | 0.280939i | \(0.909354\pi\) | |||||||
\(432\) | 86.7459 | + | 64.3363i | 0.200801 | + | 0.148927i | ||||
\(433\) | 123.653i | 0.285574i | 0.989753 | + | 0.142787i | \(0.0456063\pi\) | ||||
−0.989753 | + | 0.142787i | \(0.954394\pi\) | |||||||
\(434\) | − | 160.562i | − | 0.369959i | ||||||
\(435\) | −613.840 | − | 40.6353i | −1.41113 | − | 0.0934145i | ||||
\(436\) | −193.381 | −0.443535 | ||||||||
\(437\) | 1075.89 | 2.46199 | ||||||||
\(438\) | −330.304 | − | 299.372i | −0.754119 | − | 0.683497i | ||||
\(439\) | 419.828 | 0.956328 | 0.478164 | − | 0.878271i | \(-0.341302\pi\) | ||||
0.478164 | + | 0.878271i | \(0.341302\pi\) | |||||||
\(440\) | 53.6147 | + | 67.6442i | 0.121852 | + | 0.153737i | ||||
\(441\) | 6.17472 | + | 62.6967i | 0.0140016 | + | 0.142169i | ||||
\(442\) | − | 62.9145i | − | 0.142340i | ||||||
\(443\) | −95.9458 | −0.216582 | −0.108291 | − | 0.994119i | \(-0.534538\pi\) | ||||
−0.108291 | + | 0.994119i | \(0.534538\pi\) | |||||||
\(444\) | 80.5764 | + | 73.0306i | 0.181478 | + | 0.164483i | ||||
\(445\) | −83.4107 | − | 105.237i | −0.187440 | − | 0.236488i | ||||
\(446\) | 625.605i | 1.40270i | ||||||||
\(447\) | 334.745 | + | 303.397i | 0.748871 | + | 0.678741i | ||||
\(448\) | 21.1660i | 0.0472456i | ||||||||
\(449\) | 780.855i | 1.73910i | 0.493847 | + | 0.869549i | \(0.335590\pi\) | ||||
−0.493847 | + | 0.869549i | \(0.664410\pi\) | |||||||
\(450\) | 315.421 | + | 41.9447i | 0.700936 | + | 0.0932104i | ||||
\(451\) | −222.365 | −0.493050 | ||||||||
\(452\) | 224.567 | 0.496830 | ||||||||
\(453\) | 11.3432 | − | 12.5152i | 0.0250402 | − | 0.0276275i | ||||
\(454\) | −149.350 | −0.328964 | ||||||||
\(455\) | 63.1640 | − | 50.0637i | 0.138822 | − | 0.110030i | ||||
\(456\) | 180.927 | − | 199.621i | 0.396771 | − | 0.437766i | ||||
\(457\) | − | 615.383i | − | 1.34657i | −0.739383 | − | 0.673286i | \(-0.764882\pi\) | ||
0.739383 | − | 0.673286i | \(-0.235118\pi\) | |||||||
\(458\) | 424.596 | 0.927064 | ||||||||
\(459\) | −158.350 | − | 117.442i | −0.344989 | − | 0.255866i | ||||
\(460\) | 265.559 | − | 210.481i | 0.577301 | − | 0.457568i | ||||
\(461\) | 463.592i | 1.00562i | 0.864396 | + | 0.502811i | \(0.167701\pi\) | ||||
−0.864396 | + | 0.502811i | \(0.832299\pi\) | |||||||
\(462\) | 46.0089 | − | 50.7627i | 0.0995863 | − | 0.109876i | ||||
\(463\) | 249.784i | 0.539491i | 0.962932 | + | 0.269746i | \(0.0869396\pi\) | ||||
−0.962932 | + | 0.269746i | \(0.913060\pi\) | |||||||
\(464\) | 164.049i | 0.353554i | ||||||||
\(465\) | −42.5176 | + | 642.274i | −0.0914357 | + | 1.38123i | ||||
\(466\) | 317.261 | 0.680819 | ||||||||
\(467\) | −629.113 | −1.34714 | −0.673569 | − | 0.739124i | \(-0.735240\pi\) | ||||
−0.673569 | + | 0.739124i | \(0.735240\pi\) | |||||||
\(468\) | −109.140 | + | 10.7487i | −0.233205 | + | 0.0229673i | ||||
\(469\) | −45.3462 | −0.0966869 | ||||||||
\(470\) | 251.114 | − | 199.033i | 0.534286 | − | 0.423474i | ||||
\(471\) | −264.651 | − | 239.867i | −0.561892 | − | 0.509272i | ||||
\(472\) | 11.9565i | 0.0253315i | ||||||||
\(473\) | −108.045 | −0.228424 | ||||||||
\(474\) | −213.157 | + | 235.181i | −0.449699 | + | 0.496163i | ||||
\(475\) | 181.249 | − | 772.796i | 0.381578 | − | 1.62694i | ||||
\(476\) | − | 38.6374i | − | 0.0811711i | ||||||
\(477\) | −16.0003 | − | 162.464i | −0.0335437 | − | 0.340595i | ||||
\(478\) | − | 422.000i | − | 0.882845i | ||||||
\(479\) | 554.807i | 1.15826i | 0.815235 | + | 0.579131i | \(0.196608\pi\) | ||||
−0.815235 | + | 0.579131i | \(0.803392\pi\) | |||||||
\(480\) | 5.60487 | − | 84.6675i | 0.0116768 | − | 0.176391i | ||||
\(481\) | −110.427 | −0.229578 | ||||||||
\(482\) | −52.7068 | −0.109350 | ||||||||
\(483\) | −199.285 | − | 180.622i | −0.412598 | − | 0.373959i | ||||
\(484\) | 167.497 | 0.346069 | ||||||||
\(485\) | 372.961 | + | 470.555i | 0.768992 | + | 0.970216i | ||||
\(486\) | −176.678 | + | 294.759i | −0.363534 | + | 0.606501i | ||||
\(487\) | − | 244.109i | − | 0.501251i | −0.968084 | − | 0.250626i | \(-0.919364\pi\) | ||
0.968084 | − | 0.250626i | \(-0.0806363\pi\) | |||||||
\(488\) | −47.7823 | −0.0979145 | ||||||||
\(489\) | −165.786 | − | 150.261i | −0.339032 | − | 0.307282i | ||||
\(490\) | 38.7907 | − | 30.7454i | 0.0791647 | − | 0.0627458i | ||||
\(491\) | − | 170.600i | − | 0.347454i | −0.984794 | − | 0.173727i | \(-0.944419\pi\) | ||
0.984794 | − | 0.173727i | \(-0.0555810\pi\) | |||||||
\(492\) | 161.970 | + | 146.802i | 0.329208 | + | 0.298379i | ||||
\(493\) | − | 299.463i | − | 0.607429i | ||||||
\(494\) | 273.573i | 0.553793i | ||||||||
\(495\) | −197.485 | + | 190.876i | −0.398960 | + | 0.385607i | ||||
\(496\) | 171.648 | 0.346065 | ||||||||
\(497\) | −301.150 | −0.605936 | ||||||||
\(498\) | 218.234 | − | 240.783i | 0.438221 | − | 0.483499i | ||||
\(499\) | −965.312 | −1.93449 | −0.967247 | − | 0.253837i | \(-0.918307\pi\) | ||||
−0.967247 | + | 0.253837i | \(0.918307\pi\) | |||||||
\(500\) | −106.448 | − | 226.205i | −0.212897 | − | 0.452410i | ||||
\(501\) | −230.518 | + | 254.336i | −0.460116 | + | 0.507657i | ||||
\(502\) | − | 350.165i | − | 0.697540i | ||||||
\(503\) | 86.1692 | 0.171311 | 0.0856553 | − | 0.996325i | \(-0.472702\pi\) | ||||
0.0856553 | + | 0.996325i | \(0.472702\pi\) | |||||||
\(504\) | −67.0256 | + | 6.60106i | −0.132987 | + | 0.0130973i | ||||
\(505\) | −506.184 | − | 638.639i | −1.00235 | − | 1.26463i | ||||
\(506\) | 292.484i | 0.578031i | ||||||||
\(507\) | −265.696 | + | 293.148i | −0.524054 | + | 0.578202i | ||||
\(508\) | 395.264i | 0.778078i | ||||||||
\(509\) | 115.697i | 0.227303i | 0.993521 | + | 0.113651i | \(0.0362547\pi\) | ||||
−0.993521 | + | 0.113651i | \(0.963745\pi\) | |||||||
\(510\) | −10.2314 | + | 154.556i | −0.0200615 | + | 0.303051i | ||||
\(511\) | 277.996 | 0.544023 | ||||||||
\(512\) | −22.6274 | −0.0441942 | ||||||||
\(513\) | 688.559 | + | 510.680i | 1.34222 | + | 0.995477i | ||||
\(514\) | −106.950 | −0.208074 | ||||||||
\(515\) | −578.848 | − | 730.317i | −1.12398 | − | 1.41809i | ||||
\(516\) | 78.6995 | + | 71.3294i | 0.152518 | + | 0.138235i | ||||
\(517\) | 276.575i | 0.534961i | ||||||||
\(518\) | −67.8160 | −0.130919 | ||||||||
\(519\) | 350.192 | − | 386.375i | 0.674744 | − | 0.744461i | ||||
\(520\) | 53.5204 | + | 67.5252i | 0.102924 | + | 0.129856i | ||||
\(521\) | − | 527.925i | − | 1.01329i | −0.862154 | − | 0.506646i | \(-0.830885\pi\) | ||
0.862154 | − | 0.506646i | \(-0.169115\pi\) | |||||||
\(522\) | −519.487 | + | 51.1620i | −0.995186 | + | 0.0980116i | ||||
\(523\) | 637.700i | 1.21931i | 0.792666 | + | 0.609656i | \(0.208693\pi\) | ||||
−0.792666 | + | 0.609656i | \(0.791307\pi\) | |||||||
\(524\) | 76.0837i | 0.145198i | ||||||||
\(525\) | −163.311 | + | 112.715i | −0.311068 | + | 0.214695i | ||||
\(526\) | −79.9999 | −0.152091 | ||||||||
\(527\) | −313.334 | −0.594562 | ||||||||
\(528\) | 54.2676 | + | 49.1856i | 0.102780 | + | 0.0931545i | ||||
\(529\) | 619.237 | 1.17058 | ||||||||
\(530\) | −100.517 | + | 79.6696i | −0.189655 | + | 0.150320i | ||||
\(531\) | −37.8620 | + | 3.72887i | −0.0713033 | + | 0.00702235i | ||||
\(532\) | 168.009i | 0.315806i | ||||||||
\(533\) | −221.974 | −0.416462 | ||||||||
\(534\) | −84.4265 | − | 76.5202i | −0.158102 | − | 0.143296i | ||||
\(535\) | −646.253 | + | 512.220i | −1.20795 | + | 0.957420i | ||||
\(536\) | − | 48.4771i | − | 0.0904423i | ||||||
\(537\) | −298.289 | − | 270.355i | −0.555472 | − | 0.503454i | ||||
\(538\) | − | 358.796i | − | 0.666907i | ||||||
\(539\) | 42.7237i | 0.0792648i | ||||||||
\(540\) | 269.861 | − | 8.65660i | 0.499743 | − | 0.0160307i | ||||
\(541\) | −749.392 | −1.38520 | −0.692599 | − | 0.721323i | \(-0.743534\pi\) | ||||
−0.692599 | + | 0.721323i | \(0.743534\pi\) | |||||||
\(542\) | −362.593 | −0.668991 | ||||||||
\(543\) | 401.150 | − | 442.598i | 0.738766 | − | 0.815098i | ||||
\(544\) | 41.3051 | 0.0759286 | ||||||||
\(545\) | −378.877 | + | 300.297i | −0.695187 | + | 0.551005i | ||||
\(546\) | 45.9280 | − | 50.6734i | 0.0841172 | − | 0.0928084i | ||||
\(547\) | − | 129.416i | − | 0.236592i | −0.992978 | − | 0.118296i | \(-0.962257\pi\) | ||
0.992978 | − | 0.118296i | \(-0.0377432\pi\) | |||||||
\(548\) | −87.5847 | −0.159826 | ||||||||
\(549\) | −14.9019 | − | 151.310i | −0.0271437 | − | 0.275610i | ||||
\(550\) | 210.087 | + | 49.2731i | 0.381975 | + | 0.0895874i | ||||
\(551\) | 1302.16i | 2.36328i | ||||||||
\(552\) | 193.093 | − | 213.045i | 0.349807 | − | 0.385950i | ||||
\(553\) | − | 197.937i | − | 0.357933i | ||||||
\(554\) | 262.586i | 0.473982i | ||||||||
\(555\) | 271.275 | + | 17.9580i | 0.488784 | + | 0.0323568i | ||||
\(556\) | −351.857 | −0.632836 | ||||||||
\(557\) | −926.902 | −1.66410 | −0.832049 | − | 0.554703i | \(-0.812832\pi\) | ||||
−0.832049 | + | 0.554703i | \(0.812832\pi\) | |||||||
\(558\) | 53.5320 | + | 543.551i | 0.0959354 | + | 0.974106i | ||||
\(559\) | −107.855 | −0.192942 | ||||||||
\(560\) | 32.8683 | + | 41.4690i | 0.0586933 | + | 0.0740518i | ||||
\(561\) | −99.0626 | − | 89.7856i | −0.176582 | − | 0.160046i | ||||
\(562\) | − | 368.049i | − | 0.654892i | ||||||
\(563\) | −690.211 | −1.22595 | −0.612976 | − | 0.790101i | \(-0.710028\pi\) | ||||
−0.612976 | + | 0.790101i | \(0.710028\pi\) | |||||||
\(564\) | 182.591 | − | 201.457i | 0.323742 | − | 0.357193i | ||||
\(565\) | 439.978 | − | 348.726i | 0.778722 | − | 0.617214i | ||||
\(566\) | − | 630.065i | − | 1.11319i | ||||||
\(567\) | −41.8066 | − | 210.189i | −0.0737330 | − | 0.370703i | ||||
\(568\) | − | 321.943i | − | 0.566801i | ||||||
\(569\) | − | 155.630i | − | 0.273515i | −0.990605 | − | 0.136757i | \(-0.956332\pi\) | ||
0.990605 | − | 0.136757i | \(-0.0436680\pi\) | |||||||
\(570\) | 44.4895 | − | 672.062i | 0.0780518 | − | 1.17906i | ||||
\(571\) | −961.721 | −1.68427 | −0.842137 | − | 0.539263i | \(-0.818703\pi\) | ||||
−0.842137 | + | 0.539263i | \(0.818703\pi\) | |||||||
\(572\) | −74.3716 | −0.130020 | ||||||||
\(573\) | −498.376 | − | 451.704i | −0.869766 | − | 0.788315i | ||||
\(574\) | −136.320 | −0.237492 | ||||||||
\(575\) | 193.437 | − | 824.761i | 0.336412 | − | 1.43437i | ||||
\(576\) | −7.05683 | − | 71.6533i | −0.0122514 | − | 0.124398i | ||||
\(577\) | 670.111i | 1.16137i | 0.814128 | + | 0.580685i | \(0.197215\pi\) | ||||
−0.814128 | + | 0.580685i | \(0.802785\pi\) | |||||||
\(578\) | 333.307 | 0.576656 | ||||||||
\(579\) | −756.043 | − | 685.241i | −1.30577 | − | 1.18349i | ||||
\(580\) | 254.748 | + | 321.409i | 0.439221 | + | 0.554153i | ||||
\(581\) | 202.651i | 0.348797i | ||||||||
\(582\) | 377.503 | + | 342.151i | 0.648631 | + | 0.587888i | ||||
\(583\) | − | 110.708i | − | 0.189894i | ||||||
\(584\) | 297.190i | 0.508887i | ||||||||
\(585\) | −197.138 | + | 190.540i | −0.336988 | + | 0.325709i | ||||
\(586\) | −245.458 | −0.418870 | ||||||||
\(587\) | −671.384 | −1.14376 | −0.571878 | − | 0.820339i | \(-0.693785\pi\) | ||||
−0.571878 | + | 0.820339i | \(0.693785\pi\) | |||||||
\(588\) | 28.2056 | − | 31.1199i | 0.0479686 | − | 0.0529249i | ||||
\(589\) | 1362.48 | 2.31322 | ||||||||
\(590\) | 18.5669 | + | 23.4254i | 0.0314694 | + | 0.0397041i | ||||
\(591\) | −232.502 | + | 256.525i | −0.393404 | + | 0.434052i | ||||
\(592\) | − | 72.4984i | − | 0.122463i | ||||||
\(593\) | −173.594 | −0.292738 | −0.146369 | − | 0.989230i | \(-0.546759\pi\) | ||||
−0.146369 | + | 0.989230i | \(0.546759\pi\) | |||||||
\(594\) | −138.830 | + | 187.187i | −0.233720 | + | 0.315129i | ||||
\(595\) | −59.9993 | − | 75.6994i | −0.100839 | − | 0.127226i | ||||
\(596\) | − | 301.186i | − | 0.505345i | ||||||
\(597\) | −375.878 | + | 414.715i | −0.629612 | + | 0.694665i | ||||
\(598\) | 291.969i | 0.488243i | ||||||||
\(599\) | − | 561.565i | − | 0.937504i | −0.883330 | − | 0.468752i | \(-0.844704\pi\) | ||
0.883330 | − | 0.468752i | \(-0.155296\pi\) | |||||||
\(600\) | −120.497 | − | 174.586i | −0.200829 | − | 0.290977i | ||||
\(601\) | 382.578 | 0.636568 | 0.318284 | − | 0.947995i | \(-0.396893\pi\) | ||||
0.318284 | + | 0.947995i | \(0.396893\pi\) | |||||||
\(602\) | −66.2363 | −0.110027 | ||||||||
\(603\) | 153.510 | − | 15.1186i | 0.254578 | − | 0.0250723i | ||||
\(604\) | −11.2606 | −0.0186433 | ||||||||
\(605\) | 328.165 | − | 260.103i | 0.542422 | − | 0.429923i | ||||
\(606\) | −512.349 | − | 464.369i | −0.845460 | − | 0.766285i | ||||
\(607\) | 489.748i | 0.806833i | 0.915016 | + | 0.403417i | \(0.132177\pi\) | ||||
−0.915016 | + | 0.403417i | \(0.867823\pi\) | |||||||
\(608\) | −179.609 | −0.295409 | ||||||||
\(609\) | 218.610 | − | 241.197i | 0.358965 | − | 0.396054i | ||||
\(610\) | −93.6162 | + | 74.2001i | −0.153469 | + | 0.121639i | ||||
\(611\) | 276.088i | 0.451863i | ||||||||
\(612\) | 12.8819 | + | 130.799i | 0.0210488 | + | 0.213724i | ||||
\(613\) | − | 103.287i | − | 0.168494i | −0.996445 | − | 0.0842472i | \(-0.973151\pi\) | ||
0.996445 | − | 0.0842472i | \(-0.0268486\pi\) | |||||||
\(614\) | 344.390i | 0.560896i | ||||||||
\(615\) | 545.303 | + | 36.0983i | 0.886672 | + | 0.0586964i | ||||
\(616\) | −45.6736 | −0.0741454 | ||||||||
\(617\) | −103.427 | −0.167629 | −0.0838144 | − | 0.996481i | \(-0.526710\pi\) | ||||
−0.0838144 | + | 0.996481i | \(0.526710\pi\) | |||||||
\(618\) | −585.898 | − | 531.030i | −0.948054 | − | 0.859271i | ||||
\(619\) | 1040.92 | 1.68162 | 0.840809 | − | 0.541332i | \(-0.182080\pi\) | ||||
0.840809 | + | 0.541332i | \(0.182080\pi\) | |||||||
\(620\) | 336.297 | − | 266.549i | 0.542415 | − | 0.429917i | ||||
\(621\) | 734.860 | + | 545.019i | 1.18335 | + | 0.877647i | ||||
\(622\) | − | 364.527i | − | 0.586056i | ||||||
\(623\) | 71.0564 | 0.114055 | ||||||||
\(624\) | 54.1722 | + | 49.0991i | 0.0868144 | + | 0.0786844i | ||||
\(625\) | −559.826 | − | 277.886i | −0.895721 | − | 0.444617i | ||||
\(626\) | 221.199i | 0.353354i | ||||||||
\(627\) | 430.758 | + | 390.418i | 0.687014 | + | 0.622677i | ||||
\(628\) | 238.119i | 0.379170i | ||||||||
\(629\) | 132.342i | 0.210400i | ||||||||
\(630\) | −121.068 | + | 117.016i | −0.192171 | + | 0.185739i | ||||
\(631\) | −1243.34 | −1.97043 | −0.985216 | − | 0.171315i | \(-0.945198\pi\) | ||||
−0.985216 | + | 0.171315i | \(0.945198\pi\) | |||||||
\(632\) | 211.604 | 0.334816 | ||||||||
\(633\) | 702.907 | − | 775.534i | 1.11044 | − | 1.22517i | ||||
\(634\) | −381.398 | −0.601574 | ||||||||
\(635\) | 613.797 | + | 774.411i | 0.966609 | + | 1.21954i | ||||
\(636\) | −73.0881 | + | 80.6398i | −0.114918 | + | 0.126792i | ||||
\(637\) | 42.6486i | 0.0669522i | ||||||||
\(638\) | −353.997 | −0.554854 | ||||||||
\(639\) | 1019.48 | − | 100.405i | 1.59544 | − | 0.157128i | ||||
\(640\) | −44.3322 | + | 35.1377i | −0.0692691 | + | 0.0549026i | ||||
\(641\) | − | 168.859i | − | 0.263431i | −0.991288 | − | 0.131715i | \(-0.957951\pi\) | ||
0.991288 | − | 0.131715i | \(-0.0420485\pi\) | |||||||
\(642\) | −469.905 | + | 518.457i | −0.731939 | + | 0.807566i | ||||
\(643\) | 290.872i | 0.452366i | 0.974085 | + | 0.226183i | \(0.0726248\pi\) | ||||
−0.974085 | + | 0.226183i | \(0.927375\pi\) | |||||||
\(644\) | 179.306i | 0.278425i | ||||||||
\(645\) | 264.956 | + | 17.5397i | 0.410785 | + | 0.0271933i | ||||
\(646\) | 327.866 | 0.507533 | ||||||||
\(647\) | 725.855 | 1.12188 | 0.560939 | − | 0.827857i | \(-0.310440\pi\) | ||||
0.560939 | + | 0.827857i | \(0.310440\pi\) | |||||||
\(648\) | 224.701 | − | 44.6931i | 0.346761 | − | 0.0689709i | ||||
\(649\) | −25.8005 | −0.0397543 | ||||||||
\(650\) | 209.717 | + | 49.1864i | 0.322642 | + | 0.0756714i | ||||
\(651\) | −252.370 | − | 228.736i | −0.387665 | − | 0.351361i | ||||
\(652\) | 149.166i | 0.228782i | ||||||||
\(653\) | 977.062 | 1.49627 | 0.748133 | − | 0.663548i | \(-0.230950\pi\) | ||||
0.748133 | + | 0.663548i | \(0.230950\pi\) | |||||||
\(654\) | −275.490 | + | 303.955i | −0.421238 | + | 0.464762i | ||||
\(655\) | 118.149 | + | 149.065i | 0.180380 | + | 0.227580i | ||||
\(656\) | − | 145.732i | − | 0.222153i | ||||||
\(657\) | −941.100 | + | 92.6848i | −1.43242 | + | 0.141073i | ||||
\(658\) | 169.553i | 0.257680i | ||||||||
\(659\) | 157.771i | 0.239409i | 0.992810 | + | 0.119705i | \(0.0381948\pi\) | ||||
−0.992810 | + | 0.119705i | \(0.961805\pi\) | |||||||
\(660\) | 182.702 | + | 12.0946i | 0.276821 | + | 0.0183251i | ||||
\(661\) | 1072.89 | 1.62314 | 0.811568 | − | 0.584258i | \(-0.198614\pi\) | ||||
0.811568 | + | 0.584258i | \(0.198614\pi\) | |||||||
\(662\) | −142.479 | −0.215225 | ||||||||
\(663\) | −98.8884 | − | 89.6277i | −0.149153 | − | 0.135185i | ||||
\(664\) | −216.643 | −0.326270 | ||||||||
\(665\) | 260.897 | + | 329.167i | 0.392327 | + | 0.494988i | ||||
\(666\) | 229.578 | − | 22.6101i | 0.344711 | − | 0.0339491i | ||||
\(667\) | 1389.73i | 2.08355i | ||||||||
\(668\) | 228.838 | 0.342572 | ||||||||
\(669\) | 983.320 | + | 891.235i | 1.46984 | + | 1.33219i | ||||
\(670\) | −75.2791 | − | 94.9776i | −0.112357 | − | 0.141758i | ||||
\(671\) | − | 103.108i | − | 0.153663i | ||||||
\(672\) | 33.2685 | + | 30.1530i | 0.0495068 | + | 0.0448706i | ||||
\(673\) | 293.836i | 0.436606i | 0.975881 | + | 0.218303i | \(0.0700521\pi\) | ||||
−0.975881 | + | 0.218303i | \(0.929948\pi\) | |||||||
\(674\) | 243.319i | 0.361007i | ||||||||
\(675\) | 515.276 | − | 436.022i | 0.763372 | − | 0.645959i | ||||
\(676\) | 263.759 | 0.390176 | ||||||||
\(677\) | 569.262 | 0.840859 | 0.420429 | − | 0.907325i | \(-0.361879\pi\) | ||||
0.420429 | + | 0.907325i | \(0.361879\pi\) | |||||||
\(678\) | 319.918 | − | 352.973i | 0.471855 | − | 0.520609i | ||||
\(679\) | −317.720 | −0.467924 | ||||||||
\(680\) | 80.9261 | − | 64.1419i | 0.119009 | − | 0.0943263i | ||||
\(681\) | −212.763 | + | 234.746i | −0.312427 | + | 0.344708i | ||||
\(682\) | 370.395i | 0.543101i | ||||||||
\(683\) | 21.2129 | 0.0310585 | 0.0155292 | − | 0.999879i | \(-0.495057\pi\) | ||||
0.0155292 | + | 0.999879i | \(0.495057\pi\) | |||||||
\(684\) | −56.0147 | − | 568.760i | −0.0818928 | − | 0.831520i | ||||
\(685\) | −171.598 | + | 136.008i | −0.250508 | + | 0.198552i | ||||
\(686\) | 26.1916i | 0.0381802i | ||||||||
\(687\) | 604.877 | − | 667.375i | 0.880462 | − | 0.971434i | ||||
\(688\) | − | 70.8096i | − | 0.102921i | ||||||
\(689\) | − | 110.514i | − | 0.160397i | ||||||
\(690\) | 47.4811 | − | 717.253i | 0.0688132 | − | 1.03950i | ||||
\(691\) | −698.350 | −1.01064 | −0.505318 | − | 0.862933i | \(-0.668625\pi\) | ||||
−0.505318 | + | 0.862933i | \(0.668625\pi\) | |||||||
\(692\) | −347.640 | −0.502370 | ||||||||
\(693\) | −14.2442 | − | 144.633i | −0.0205545 | − | 0.208705i | ||||
\(694\) | 532.969 | 0.767966 | ||||||||
\(695\) | −689.367 | + | 546.391i | −0.991895 | + | 0.786175i | ||||
\(696\) | 257.851 | + | 233.703i | 0.370475 | + | 0.335781i | ||||
\(697\) | 266.027i | 0.381674i | ||||||||
\(698\) | 473.153 | 0.677869 | ||||||||
\(699\) | 451.969 | − | 498.669i | 0.646594 | − | 0.713403i | ||||
\(700\) | 128.793 | + | 30.2067i | 0.183990 | + | 0.0431524i | ||||
\(701\) | − | 1019.57i | − | 1.45445i | −0.686399 | − | 0.727225i | \(-0.740810\pi\) | ||
0.686399 | − | 0.727225i | \(-0.259190\pi\) | |||||||
\(702\) | −138.585 | + | 186.857i | −0.197415 | + | 0.266179i | ||||
\(703\) | − | 575.468i | − | 0.818588i | ||||||
\(704\) | − | 48.8271i | − | 0.0693567i | ||||||
\(705\) | 44.8985 | − | 678.240i | 0.0636858 | − | 0.962043i | ||||
\(706\) | −411.852 | −0.583359 | ||||||||
\(707\) | 431.211 | 0.609917 | ||||||||
\(708\) | 18.7930 | + | 17.0331i | 0.0265438 | + | 0.0240581i | ||||
\(709\) | −482.736 | −0.680869 | −0.340435 | − | 0.940268i | \(-0.610574\pi\) | ||||
−0.340435 | + | 0.940268i | \(0.610574\pi\) | |||||||
\(710\) | −499.939 | − | 630.759i | −0.704139 | − | 0.888394i | ||||
\(711\) | 65.9930 | + | 670.077i | 0.0928171 | + | 0.942443i | ||||
\(712\) | 75.9625i | 0.106689i | ||||||||
\(713\) | 1454.10 | 2.03941 | ||||||||
\(714\) | −60.7299 | − | 55.0427i | −0.0850559 | − | 0.0770906i | ||||
\(715\) | −145.711 | + | 115.490i | −0.203791 | + | 0.161525i | ||||
\(716\) | 268.384i | 0.374838i | ||||||||
\(717\) | −663.296 | − | 601.180i | −0.925099 | − | 0.838466i | ||||
\(718\) | − | 289.319i | − | 0.402951i | ||||||
\(719\) | − | 1275.40i | − | 1.77385i | −0.461915 | − | 0.886924i | \(-0.652838\pi\) | ||
0.461915 | − | 0.886924i | \(-0.347162\pi\) | |||||||
\(720\) | −125.095 | − | 129.427i | −0.173743 | − | 0.179759i | ||||
\(721\) | 493.113 | 0.683929 | ||||||||
\(722\) | −915.143 | −1.26751 | ||||||||
\(723\) | −75.0859 | + | 82.8441i | −0.103853 | + | 0.114584i | ||||
\(724\) | −398.226 | −0.550036 | ||||||||
\(725\) | 998.218 | + | 234.119i | 1.37685 | + | 0.322923i | ||||
\(726\) | 238.616 | − | 263.271i | 0.328672 | − | 0.362632i | ||||
\(727\) | 90.3245i | 0.124243i | 0.998069 | + | 0.0621214i | \(0.0197866\pi\) | ||||
−0.998069 | + | 0.0621214i | \(0.980213\pi\) | |||||||
\(728\) | −45.5932 | −0.0626281 | ||||||||
\(729\) | 211.606 | + | 697.613i | 0.290268 | + | 0.956945i | ||||
\(730\) | 461.500 | + | 582.262i | 0.632192 | + | 0.797620i | ||||
\(731\) | 129.259i | 0.176825i | ||||||||
\(732\) | −68.0704 | + | 75.1037i | −0.0929924 | + | 0.102601i | ||||
\(733\) | 515.475i | 0.703240i | 0.936143 | + | 0.351620i | \(0.114369\pi\) | ||||
−0.936143 | + | 0.351620i | \(0.885631\pi\) | |||||||
\(734\) | − | 343.077i | − | 0.467408i | ||||||
\(735\) | 6.93567 | − | 104.771i | 0.00943628 | − | 0.142545i | ||||
\(736\) | −191.686 | −0.260443 | ||||||||
\(737\) | 104.607 | 0.141937 | ||||||||
\(738\) | 461.485 | − | 45.4497i | 0.625318 | − | 0.0615849i | ||||
\(739\) | −91.7703 | −0.124182 | −0.0620909 | − | 0.998071i | \(-0.519777\pi\) | ||||
−0.0620909 | + | 0.998071i | \(0.519777\pi\) | |||||||
\(740\) | −112.581 | − | 142.041i | −0.152137 | − | 0.191947i | ||||
\(741\) | 430.000 | + | 389.732i | 0.580297 | + | 0.525954i | ||||
\(742\) | − | 67.8694i | − | 0.0914681i | ||||||
\(743\) | 680.829 | 0.916324 | 0.458162 | − | 0.888869i | \(-0.348508\pi\) | ||||
0.458162 | + | 0.888869i | \(0.348508\pi\) | |||||||
\(744\) | 244.529 | − | 269.795i | 0.328668 | − | 0.362627i | ||||
\(745\) | −467.705 | − | 590.091i | −0.627792 | − | 0.792069i | ||||
\(746\) | − | 143.944i | − | 0.192955i | ||||||
\(747\) | −67.5647 | − | 686.036i | −0.0904481 | − | 0.918388i | ||||
\(748\) | 89.1313i | 0.119159i | ||||||||
\(749\) | − | 436.352i | − | 0.582580i | ||||||
\(750\) | −507.193 | − | 154.937i | −0.676257 | − | 0.206582i | ||||
\(751\) | 275.733 | 0.367155 | 0.183577 | − | 0.983005i | \(-0.441232\pi\) | ||||
0.183577 | + | 0.983005i | \(0.441232\pi\) | |||||||
\(752\) | −181.260 | −0.241037 | ||||||||
\(753\) | −550.386 | − | 498.844i | −0.730925 | − | 0.662475i | ||||
\(754\) | −353.374 | −0.468666 | ||||||||
\(755\) | −22.0620 | + | 17.4863i | −0.0292211 | + | 0.0231606i | ||||
\(756\) | −85.1089 | + | 114.754i | −0.112578 | + | 0.151791i | ||||
\(757\) | 622.898i | 0.822851i | 0.911443 | + | 0.411425i | \(0.134969\pi\) | ||||
−0.911443 | + | 0.411425i | \(0.865031\pi\) | |||||||
\(758\) | −349.350 | −0.460884 | ||||||||
\(759\) | 459.723 | + | 416.671i | 0.605696 | + | 0.548974i | ||||
\(760\) | −351.894 | + | 278.911i | −0.463019 | + | 0.366988i | ||||
\(761\) | − | 1122.56i | − | 1.47511i | −0.675288 | − | 0.737554i | \(-0.735981\pi\) | ||
0.675288 | − | 0.737554i | \(-0.264019\pi\) | |||||||
\(762\) | 621.272 | + | 563.091i | 0.815317 | + | 0.738965i | ||||
\(763\) | − | 255.819i | − | 0.335281i | ||||||
\(764\) | 448.412i | 0.586927i | ||||||||
\(765\) | 228.354 | + | 236.261i | 0.298502 | + | 0.308839i | ||||
\(766\) | −26.8275 | −0.0350228 | ||||||||
\(767\) | −25.7551 | −0.0335791 | ||||||||
\(768\) | −32.2349 | + | 35.5656i | −0.0419726 | + | 0.0463093i | ||||
\(769\) | 344.788 | 0.448359 | 0.224179 | − | 0.974548i | \(-0.428030\pi\) | ||||
0.224179 | + | 0.974548i | \(0.428030\pi\) | |||||||
\(770\) | −89.4848 | + | 70.9256i | −0.116214 | + | 0.0921111i | ||||
\(771\) | −152.361 | + | 168.103i | −0.197615 | + | 0.218033i | ||||
\(772\) | 680.247i | 0.881149i | ||||||||
\(773\) | −235.375 | −0.304495 | −0.152248 | − | 0.988342i | \(-0.548651\pi\) | ||||
−0.152248 | + | 0.988342i | \(0.548651\pi\) | |||||||
\(774\) | 224.230 | − | 22.0834i | 0.289703 | − | 0.0285316i | ||||
\(775\) | 244.964 | − | 1044.46i | 0.316083 | − | 1.34769i | ||||
\(776\) | − | 339.657i | − | 0.437702i | ||||||
\(777\) | −96.6104 | + | 106.593i | −0.124338 | + | 0.137185i | ||||
\(778\) | 881.464i | 1.13299i | ||||||||
\(779\) | − | 1156.77i | − | 1.48495i | ||||||
\(780\) | 182.380 | + | 12.0733i | 0.233821 | + | 0.0154786i | ||||
\(781\) | 694.713 | 0.889517 | ||||||||
\(782\) | 349.913 | 0.447459 | ||||||||
\(783\) | −659.643 | + | 889.410i | −0.842456 | + | 1.13590i | ||||
\(784\) | −28.0000 | −0.0357143 | ||||||||
\(785\) | 369.770 | + | 466.529i | 0.471045 | + | 0.594304i | ||||
\(786\) | 119.588 | + | 108.388i | 0.152147 | + | 0.137899i | ||||
\(787\) | 579.779i | 0.736695i | 0.929688 | + | 0.368348i | \(0.120076\pi\) | ||||
−0.929688 | + | 0.368348i | \(0.879924\pi\) | |||||||
\(788\) | 230.807 | 0.292903 | ||||||||
\(789\) | −113.968 | + | 125.743i | −0.144446 | + | 0.159370i | ||||
\(790\) | 414.580 | − | 328.595i | 0.524784 | − | 0.415943i | ||||
\(791\) | 297.074i | 0.375568i | ||||||||
\(792\) | 154.619 | − | 15.2277i | 0.195226 | − | 0.0192269i | ||||
\(793\) | − | 102.927i | − | 0.129794i | ||||||
\(794\) | − | 521.722i | − | 0.657081i | ||||||
\(795\) | −17.9721 | + | 271.489i | −0.0226065 | + | 0.341495i | ||||
\(796\) | 373.139 | 0.468767 | ||||||||
\(797\) | −391.482 | −0.491195 | −0.245597 | − | 0.969372i | \(-0.578984\pi\) | ||||
−0.245597 | + | 0.969372i | \(0.578984\pi\) | |||||||
\(798\) | 264.074 | + | 239.344i | 0.330920 | + | 0.299930i | ||||
\(799\) | 330.880 | 0.414118 | ||||||||
\(800\) | −32.2923 | + | 137.685i | −0.0403654 | + | 0.172106i | ||||
\(801\) | −240.547 | + | 23.6905i | −0.300309 | + | 0.0295761i | ||||
\(802\) | 411.730i | 0.513379i | ||||||||
\(803\) | −641.299 | −0.798628 | ||||||||
\(804\) | −76.1958 | − | 69.0603i | −0.0947710 | − | 0.0858959i | ||||
\(805\) | 278.441 | + | 351.301i | 0.345889 | + | 0.436399i | ||||
\(806\) | 369.743i | 0.458738i | ||||||||
\(807\) | −563.952 | − | 511.139i | −0.698826 | − | 0.633382i | ||||
\(808\) | 460.984i | 0.570525i | ||||||||
\(809\) | 1062.72i | 1.31362i | 0.754054 | + | 0.656812i | \(0.228096\pi\) | ||||
−0.754054 | + | 0.656812i | \(0.771904\pi\) | |||||||
\(810\) | 370.837 | − | 436.497i | 0.457823 | − | 0.538886i | ||||
\(811\) | −243.505 | −0.300253 | −0.150126 | − | 0.988667i | \(-0.547968\pi\) | ||||
−0.150126 | + | 0.988667i | \(0.547968\pi\) | |||||||
\(812\) | −217.016 | −0.267261 | ||||||||
\(813\) | −516.549 | + | 569.921i | −0.635361 | + | 0.701009i | ||||
\(814\) | 156.442 | 0.192190 | ||||||||
\(815\) | 231.637 | + | 292.250i | 0.284217 | + | 0.358588i | ||||
\(816\) | 58.8431 | − | 64.9230i | 0.0721117 | − | 0.0795625i | ||||
\(817\) | − | 562.063i | − | 0.687959i | ||||||
\(818\) | 185.338 | 0.226574 | ||||||||
\(819\) | −14.2192 | − | 144.378i | −0.0173617 | − | 0.176286i | ||||
\(820\) | −226.305 | − | 285.523i | −0.275982 | − | 0.348198i | ||||
\(821\) | − | 570.152i | − | 0.694460i | −0.937780 | − | 0.347230i | \(-0.887122\pi\) | ||
0.937780 | − | 0.347230i | \(-0.112878\pi\) | |||||||
\(822\) | −124.773 | + | 137.665i | −0.151792 | + | 0.167475i | ||||
\(823\) | − | 1588.27i | − | 1.92985i | −0.262527 | − | 0.964925i | \(-0.584556\pi\) | ||
0.262527 | − | 0.964925i | \(-0.415444\pi\) | |||||||
\(824\) | 527.160i | 0.639757i | ||||||||
\(825\) | 376.735 | − | 260.018i | 0.456649 | − | 0.315173i | ||||
\(826\) | −15.8169 | −0.0191488 | ||||||||
\(827\) | −1084.80 | −1.31173 | −0.655865 | − | 0.754878i | \(-0.727696\pi\) | ||||
−0.655865 | + | 0.754878i | \(0.727696\pi\) | |||||||
\(828\) | −59.7813 | − | 607.005i | −0.0721996 | − | 0.733098i | ||||
\(829\) | −330.609 | −0.398805 | −0.199402 | − | 0.979918i | \(-0.563900\pi\) | ||||
−0.199402 | + | 0.979918i | \(0.563900\pi\) | |||||||
\(830\) | −424.453 | + | 336.421i | −0.511390 | + | 0.405327i | ||||
\(831\) | 412.731 | + | 374.079i | 0.496667 | + | 0.450156i | ||||
\(832\) | − | 48.7412i | − | 0.0585832i | ||||||
\(833\) | 51.1125 | 0.0613595 | ||||||||
\(834\) | −501.254 | + | 553.046i | −0.601024 | + | 0.663124i | ||||
\(835\) | 448.345 | − | 355.358i | 0.536940 | − | 0.425578i | ||||
\(836\) | − | 387.573i | − | 0.463604i | ||||||
\(837\) | 930.610 | + | 690.199i | 1.11184 | + | 0.824611i | ||||
\(838\) | 903.725i | 1.07843i | ||||||||
\(839\) | 150.651i | 0.179560i | 0.995962 | + | 0.0897802i | \(0.0286165\pi\) | ||||
−0.995962 | + | 0.0897802i | \(0.971384\pi\) | |||||||
\(840\) | 112.005 | + | 7.41454i | 0.133339 | + | 0.00882683i | ||||
\(841\) | −841.003 | −1.00000 | ||||||||
\(842\) | −701.917 | −0.833631 | ||||||||
\(843\) | −578.496 | − | 524.321i | −0.686235 | − | 0.621971i | ||||
\(844\) | −697.785 | −0.826759 | ||||||||
\(845\) | 516.764 | − | 409.586i | 0.611555 | − | 0.484717i | ||||
\(846\) | −56.5296 | − | 573.989i | −0.0668199 | − | 0.678474i | ||||
\(847\) | 221.578i | 0.261603i | ||||||||
\(848\) | 72.5554 | 0.0855606 | ||||||||
\(849\) | −990.330 | − | 897.588i | −1.16647 | − | 1.05723i | ||||
\(850\) | 58.9478 | − | 251.337i | 0.0693504 | − | 0.295691i | ||||
\(851\) | − | 614.164i | − | 0.721696i | ||||||
\(852\) | −506.027 | − | 458.639i | −0.593929 | − | 0.538309i | ||||
\(853\) | 1239.94i | 1.45362i | 0.686836 | + | 0.726812i | \(0.258999\pi\) | ||||
−0.686836 | + | 0.726812i | \(0.741001\pi\) | |||||||
\(854\) | − | 63.2100i | − | 0.0740164i | ||||||
\(855\) | −992.961 | − | 1027.35i | −1.16136 | − | 1.20157i | ||||
\(856\) | 466.480 | 0.544954 | ||||||||
\(857\) | −1016.43 | −1.18604 | −0.593018 | − | 0.805189i | \(-0.702064\pi\) | ||||
−0.593018 | + | 0.805189i | \(0.702064\pi\) | |||||||
\(858\) | −105.950 | + | 116.897i | −0.123484 | + | 0.136243i | ||||
\(859\) | −810.174 | −0.943160 | −0.471580 | − | 0.881823i | \(-0.656316\pi\) | ||||
−0.471580 | + | 0.881823i | \(0.656316\pi\) | |||||||
\(860\) | −109.959 | − | 138.732i | −0.127859 | − | 0.161316i | ||||
\(861\) | −194.201 | + | 214.267i | −0.225553 | + | 0.248858i | ||||
\(862\) | − | 342.479i | − | 0.397307i | ||||||
\(863\) | −23.4880 | −0.0272167 | −0.0136083 | − | 0.999907i | \(-0.504332\pi\) | ||||
−0.0136083 | + | 0.999907i | \(0.504332\pi\) | |||||||
\(864\) | −122.677 | − | 90.9852i | −0.141987 | − | 0.105307i | ||||
\(865\) | −681.105 | + | 539.843i | −0.787404 | + | 0.624096i | ||||
\(866\) | − | 174.872i | − | 0.201931i | ||||||
\(867\) | 474.828 | − | 523.889i | 0.547668 | − | 0.604255i | ||||
\(868\) | 227.069i | 0.261600i | ||||||||
\(869\) | 456.614i | 0.525448i | ||||||||
\(870\) | 868.101 | + | 57.4670i | 0.997817 | + | 0.0660540i | ||||
\(871\) | 104.423 | 0.119889 | ||||||||
\(872\) | 273.482 | 0.313626 | ||||||||
\(873\) | 1075.58 | − | 105.929i | 1.23205 | − | 0.121339i | ||||
\(874\) | −1521.54 | −1.74089 | ||||||||
\(875\) | 299.241 | − | 140.818i | 0.341990 | − | 0.160935i | ||||
\(876\) | 467.121 | + | 423.376i | 0.533243 | + | 0.483306i | ||||
\(877\) | − | 580.082i | − | 0.661439i | −0.943729 | − | 0.330719i | \(-0.892709\pi\) | ||
0.943729 | − | 0.330719i | \(-0.107291\pi\) | |||||||
\(878\) | −593.727 | −0.676226 | ||||||||
\(879\) | −349.678 | + | 385.808i | −0.397813 | + | 0.438917i | ||||
\(880\) | −75.8226 | − | 95.6633i | −0.0861620 | − | 0.108708i | ||||
\(881\) | 444.274i | 0.504284i | 0.967690 | + | 0.252142i | \(0.0811350\pi\) | ||||
−0.967690 | + | 0.252142i | \(0.918865\pi\) | |||||||
\(882\) | −8.73238 | − | 88.6665i | −0.00990065 | − | 0.100529i | ||||
\(883\) | − | 192.468i | − | 0.217970i | −0.994043 | − | 0.108985i | \(-0.965240\pi\) | ||
0.994043 | − | 0.108985i | \(-0.0347601\pi\) | |||||||
\(884\) | 88.9745i | 0.100650i | ||||||||
\(885\) | 63.2702 | + | 4.18840i | 0.0714918 | + | 0.00473265i | ||||
\(886\) | 135.688 | 0.153147 | ||||||||
\(887\) | 1294.72 | 1.45966 | 0.729829 | − | 0.683630i | \(-0.239600\pi\) | ||||
0.729829 | + | 0.683630i | \(0.239600\pi\) | |||||||
\(888\) | −113.952 | − | 103.281i | −0.128325 | − | 0.116307i | ||||
\(889\) | −522.885 | −0.588172 | ||||||||
\(890\) | 117.961 | + | 148.828i | 0.132540 | + | 0.167222i | ||||
\(891\) | 96.4422 | + | 484.876i | 0.108240 | + | 0.544193i | ||||
\(892\) | − | 884.739i | − | 0.991860i | ||||||
\(893\) | −1438.78 | −1.61118 | ||||||||
\(894\) | −473.401 | − | 429.068i | −0.529532 | − | 0.479942i | ||||
\(895\) | 416.768 | + | 525.825i | 0.465663 | + | 0.587514i | ||||
\(896\) | − | 29.9333i | − | 0.0334077i | ||||||
\(897\) | 458.915 | + | 415.938i | 0.511611 | + | 0.463699i | ||||
\(898\) | − | 1104.30i | − | 1.22973i | ||||||
\(899\) | 1759.92i | 1.95764i | ||||||||
\(900\) | −446.073 | − | 59.3187i | −0.495637 | − | 0.0659097i | ||||
\(901\) | −132.446 | −0.146999 | ||||||||
\(902\) | 314.472 | 0.348639 | ||||||||
\(903\) | −94.3600 | + | 104.110i | −0.104496 | + | 0.115293i | ||||
\(904\) | −317.586 | −0.351312 | ||||||||
\(905\) | −780.215 | + | 618.398i | −0.862116 | + | 0.683312i | ||||
\(906\) | −16.0417 | + | 17.6992i | −0.0177061 | + | 0.0195356i | ||||
\(907\) | 1622.83i | 1.78922i | 0.446844 | + | 0.894612i | \(0.352548\pi\) | ||||
−0.446844 | + | 0.894612i | \(0.647452\pi\) | |||||||
\(908\) | 211.212 | 0.232613 | ||||||||
\(909\) | −1459.78 | + | 143.767i | −1.60592 | + | 0.158160i | ||||
\(910\) | −89.3274 | + | 70.8008i | −0.0981620 | + | 0.0778031i | ||||
\(911\) | 181.811i | 0.199573i | 0.995009 | + | 0.0997865i | \(0.0318160\pi\) | ||||
−0.995009 | + | 0.0997865i | \(0.968184\pi\) | |||||||
\(912\) | −255.870 | + | 282.307i | −0.280559 | + | 0.309548i | ||||
\(913\) | − | 467.489i | − | 0.512036i | ||||||
\(914\) | 870.283i | 0.952170i | ||||||||
\(915\) | −16.7383 | + | 252.850i | −0.0182932 | + | 0.276339i | ||||
\(916\) | −600.469 | −0.655534 | ||||||||
\(917\) | −100.649 | −0.109759 | ||||||||
\(918\) | 223.941 | + | 166.089i | 0.243944 | + | 0.180924i | ||||
\(919\) | 690.193 | 0.751026 | 0.375513 | − | 0.926817i | \(-0.377467\pi\) | ||||
0.375513 | + | 0.926817i | \(0.377467\pi\) | |||||||
\(920\) | −375.556 | + | 297.666i | −0.408214 | + | 0.323549i | ||||
\(921\) | 541.309 | + | 490.617i | 0.587741 | + | 0.532700i | ||||
\(922\) | − | 655.618i | − | 0.711082i | ||||||
\(923\) | 693.491 | 0.751344 | ||||||||
\(924\) | −65.0664 | + | 71.7893i | −0.0704182 | + | 0.0776940i | ||||
\(925\) | −441.144 | − | 103.465i | −0.476912 | − | 0.111854i | ||||
\(926\) | − | 353.248i | − | 0.381478i | ||||||
\(927\) | −1669.34 | + | 164.406i | −1.80079 | + | 0.177352i | ||||
\(928\) | − | 232.000i | − | 0.250000i | ||||||
\(929\) | − | 1269.52i | − | 1.36654i | −0.730165 | − | 0.683271i | \(-0.760557\pi\) | ||
0.730165 | − | 0.683271i | \(-0.239443\pi\) | |||||||
\(930\) | 60.1290 | − | 908.313i | 0.0646548 | − | 0.976681i | ||||
\(931\) | −222.255 | −0.238727 | ||||||||
\(932\) | −448.675 | −0.481411 | ||||||||
\(933\) | −572.960 | − | 519.304i | −0.614105 | − | 0.556596i | ||||
\(934\) | 889.701 | 0.952570 | ||||||||
\(935\) | 138.410 | + | 174.628i | 0.148032 | + | 0.186768i | ||||
\(936\) | 154.347 | − | 15.2010i | 0.164901 | − | 0.0162403i | ||||
\(937\) | − | 65.8708i | − | 0.0702997i | −0.999382 | − | 0.0351499i | \(-0.988809\pi\) | ||
0.999382 | − | 0.0351499i | \(-0.0111909\pi\) | |||||||
\(938\) | 64.1292 | 0.0683680 | ||||||||
\(939\) | 347.679 | + | 315.120i | 0.370265 | + | 0.335591i | ||||
\(940\) | −355.129 | + | 281.475i | −0.377797 | + | 0.299441i | ||||
\(941\) | − | 1456.21i | − | 1.54751i | −0.633485 | − | 0.773755i | \(-0.718376\pi\) | ||
0.633485 | − | 0.773755i | \(-0.281624\pi\) | |||||||
\(942\) | 374.273 | + | 339.223i | 0.397318 | + | 0.360110i | ||||
\(943\) | − | 1234.56i | − | 1.30918i | ||||||
\(944\) | − | 16.9090i | − | 0.0179121i | ||||||
\(945\) | 11.4516 | + | 356.993i | 0.0121181 | + | 0.377770i | ||||
\(946\) | 152.798 | 0.161520 | ||||||||
\(947\) | 1143.90 | 1.20792 | 0.603959 | − | 0.797015i | \(-0.293589\pi\) | ||||
0.603959 | + | 0.797015i | \(0.293589\pi\) | |||||||
\(948\) | 301.450 | − | 332.597i | 0.317985 | − | 0.350840i | ||||
\(949\) | −640.171 | −0.674574 | ||||||||
\(950\) | −256.325 | + | 1092.90i | −0.269816 | + | 1.15042i | ||||
\(951\) | −543.338 | + | 599.477i | −0.571333 | + | 0.630365i | ||||
\(952\) | 54.6416i | 0.0573966i | ||||||||
\(953\) | 675.499 | 0.708814 | 0.354407 | − | 0.935091i | \(-0.384683\pi\) | ||||
0.354407 | + | 0.935091i | \(0.384683\pi\) | |||||||
\(954\) | 22.6279 | + | 229.758i | 0.0237190 | + | 0.240837i | ||||
\(955\) | 696.330 | + | 878.541i | 0.729141 | + | 0.919938i | ||||
\(956\) | 596.798i | 0.624266i | ||||||||
\(957\) | −504.302 | + | 556.409i | −0.526962 | + | 0.581409i | ||||
\(958\) | − | 784.616i | − | 0.819014i | ||||||
\(959\) | − | 115.864i | − | 0.120817i | ||||||
\(960\) | −7.92648 | + | 119.738i | −0.00825675 | + | 0.124727i | ||||
\(961\) | 880.440 | 0.916171 | ||||||||
\(962\) | 156.167 | 0.162336 | ||||||||
\(963\) | 145.482 | + | 1477.18i | 0.151071 | + | 1.53394i | ||||
\(964\) | 74.5387 | 0.0773223 | ||||||||
\(965\) | 1056.34 | + | 1332.76i | 1.09466 | + | 1.38110i | ||||
\(966\) | 281.831 | + | 255.439i | 0.291751 | + | 0.264429i | ||||
\(967\) | − | 451.801i | − | 0.467220i | −0.972330 | − | 0.233610i | \(-0.924946\pi\) | ||
0.972330 | − | 0.233610i | \(-0.0750538\pi\) | |||||||
\(968\) | −236.877 | −0.244708 | ||||||||
\(969\) | 467.077 | − | 515.337i | 0.482020 | − | 0.531824i | ||||
\(970\) | −527.447 | − | 665.465i | −0.543759 | − | 0.686046i | ||||
\(971\) | − | 587.257i | − | 0.604796i | −0.953182 | − | 0.302398i | \(-0.902213\pi\) | ||
0.953182 | − | 0.302398i | \(-0.0977872\pi\) | |||||||
\(972\) | 249.860 | − | 416.853i | 0.257057 | − | 0.428861i | ||||
\(973\) | − | 465.463i | − | 0.478379i | ||||||
\(974\) | 345.223i | 0.354438i | ||||||||
\(975\) | 376.073 | − | 259.560i | 0.385716 | − | 0.266216i | ||||
\(976\) | 67.5743 | 0.0692360 | ||||||||
\(977\) | −1077.86 | −1.10324 | −0.551620 | − | 0.834096i | \(-0.685990\pi\) | ||||
−0.551620 | + | 0.834096i | \(0.685990\pi\) | |||||||
\(978\) | 234.457 | + | 212.501i | 0.239732 | + | 0.217281i | ||||
\(979\) | −163.917 | −0.167434 | ||||||||
\(980\) | −54.8583 | + | 43.4806i | −0.0559779 | + | 0.0443680i | ||||
\(981\) | 85.2910 | + | 866.025i | 0.0869430 | + | 0.882798i | ||||
\(982\) | 241.265i | 0.245687i | ||||||||
\(983\) | −1663.72 | −1.69249 | −0.846245 | − | 0.532794i | \(-0.821142\pi\) | ||||
−0.846245 | + | 0.532794i | \(0.821142\pi\) | |||||||
\(984\) | −229.061 | − | 207.610i | −0.232785 | − | 0.210986i | ||||
\(985\) | 452.204 | − | 358.416i | 0.459090 | − | 0.363874i | ||||
\(986\) | 423.504i | 0.429517i | ||||||||
\(987\) | 266.502 | + | 241.545i | 0.270012 | + | 0.244726i | ||||
\(988\) | − | 386.891i | − | 0.391590i | ||||||
\(989\) | − | 599.857i | − | 0.606529i | ||||||
\(990\) | 279.286 | − | 269.939i | 0.282107 | − | 0.272666i | ||||
\(991\) | 873.134 | 0.881064 | 0.440532 | − | 0.897737i | \(-0.354790\pi\) | ||||
0.440532 | + | 0.897737i | \(0.354790\pi\) | |||||||
\(992\) | −242.747 | −0.244705 | ||||||||
\(993\) | −202.975 | + | 223.947i | −0.204405 | + | 0.225525i | ||||
\(994\) | 425.891 | 0.428462 | ||||||||
\(995\) | 731.063 | − | 579.439i | 0.734737 | − | 0.582351i | ||||
\(996\) | −308.629 | + | 340.518i | −0.309869 | + | 0.341886i | ||||
\(997\) | − | 1548.17i | − | 1.55283i | −0.630224 | − | 0.776413i | \(-0.717037\pi\) | ||
0.630224 | − | 0.776413i | \(-0.282963\pi\) | |||||||
\(998\) | 1365.16 | 1.36789 | ||||||||
\(999\) | 291.517 | − | 393.058i | 0.291809 | − | 0.393452i |
(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 | 210.3.c.a.29.4 | yes | 24 | |
3.2 | odd | 2 | inner | 210.3.c.a.29.22 | yes | 24 | |
5.2 | odd | 4 | 1050.3.e.e.701.6 | 24 | |||
5.3 | odd | 4 | 1050.3.e.e.701.7 | 24 | |||
5.4 | even | 2 | inner | 210.3.c.a.29.21 | yes | 24 | |
15.2 | even | 4 | 1050.3.e.e.701.8 | 24 | |||
15.8 | even | 4 | 1050.3.e.e.701.5 | 24 | |||
15.14 | odd | 2 | inner | 210.3.c.a.29.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.c.a.29.3 | ✓ | 24 | 15.14 | odd | 2 | inner | |
210.3.c.a.29.4 | yes | 24 | 1.1 | even | 1 | trivial | |
210.3.c.a.29.21 | yes | 24 | 5.4 | even | 2 | inner | |
210.3.c.a.29.22 | yes | 24 | 3.2 | odd | 2 | inner | |
1050.3.e.e.701.5 | 24 | 15.8 | even | 4 | |||
1050.3.e.e.701.6 | 24 | 5.2 | odd | 4 | |||
1050.3.e.e.701.7 | 24 | 5.3 | odd | 4 | |||
1050.3.e.e.701.8 | 24 | 15.2 | even | 4 |