Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,6,Mod(11,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.11");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.h (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.77381751327\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.14 | ||
Character | \(\chi\) | \(=\) | 36.11 |
Dual form | 36.6.h.a.23.14 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0499164 | + | 5.65663i | −0.00882405 | + | 0.999961i | ||||
\(3\) | 14.1974 | − | 6.43687i | 0.910765 | − | 0.412926i | ||||
\(4\) | −31.9950 | − | 0.564717i | −0.999844 | − | 0.0176474i | ||||
\(5\) | 70.1957 | − | 40.5275i | 1.25570 | − | 0.724978i | 0.283463 | − | 0.958983i | \(-0.408517\pi\) |
0.972235 | + | 0.234005i | \(0.0751833\pi\) | |||||||
\(6\) | 35.7024 | + | 80.6309i | 0.404873 | + | 0.914373i | ||||
\(7\) | 89.9985 | + | 51.9607i | 0.694209 | + | 0.400802i | 0.805187 | − | 0.593021i | \(-0.202065\pi\) |
−0.110978 | + | 0.993823i | \(0.535398\pi\) | |||||||
\(8\) | 4.79147 | − | 180.956i | 0.0264694 | − | 0.999650i | ||||
\(9\) | 160.133 | − | 182.774i | 0.658985 | − | 0.752156i | ||||
\(10\) | 225.745 | + | 399.094i | 0.713869 | + | 1.26205i | ||||
\(11\) | −214.271 | + | 371.129i | −0.533927 | + | 0.924789i | 0.465287 | + | 0.885160i | \(0.345951\pi\) |
−0.999214 | + | 0.0396293i | \(0.987382\pi\) | |||||||
\(12\) | −457.882 | + | 197.930i | −0.917910 | + | 0.396789i | ||||
\(13\) | 42.9574 | + | 74.4044i | 0.0704985 | + | 0.122107i | 0.899120 | − | 0.437702i | \(-0.144208\pi\) |
−0.828621 | + | 0.559809i | \(0.810874\pi\) | |||||||
\(14\) | −298.415 | + | 506.495i | −0.406912 | + | 0.690645i | ||||
\(15\) | 735.727 | − | 1027.23i | 0.844284 | − | 1.17879i | ||||
\(16\) | 1023.36 | + | 36.1363i | 0.999377 | + | 0.0352893i | ||||
\(17\) | 1509.75i | 1.26701i | 0.773737 | + | 0.633507i | \(0.218385\pi\) | ||||
−0.773737 | + | 0.633507i | \(0.781615\pi\) | |||||||
\(18\) | 1025.89 | + | 914.939i | 0.746312 | + | 0.665596i | ||||
\(19\) | − | 1224.53i | − | 0.778189i | −0.921198 | − | 0.389094i | \(-0.872788\pi\) | ||
0.921198 | − | 0.389094i | \(-0.127212\pi\) | |||||||
\(20\) | −2268.80 | + | 1257.04i | −1.26830 | + | 0.702705i | ||||
\(21\) | 1612.21 | + | 158.398i | 0.797763 | + | 0.0783794i | ||||
\(22\) | −2088.64 | − | 1230.58i | −0.920042 | − | 0.542067i | ||||
\(23\) | −1530.14 | − | 2650.27i | −0.603129 | − | 1.04465i | −0.992344 | − | 0.123503i | \(-0.960587\pi\) |
0.389215 | − | 0.921147i | \(-0.372746\pi\) | |||||||
\(24\) | −1096.76 | − | 2599.95i | −0.388674 | − | 0.921375i | ||||
\(25\) | 1722.45 | − | 2983.38i | 0.551186 | − | 0.954681i | ||||
\(26\) | −423.023 | + | 239.280i | −0.122724 | + | 0.0694183i | ||||
\(27\) | 1096.99 | − | 3625.68i | 0.289595 | − | 0.957149i | ||||
\(28\) | −2850.16 | − | 1713.31i | −0.687028 | − | 0.412990i | ||||
\(29\) | −4347.44 | − | 2510.00i | −0.959929 | − | 0.554215i | −0.0637776 | − | 0.997964i | \(-0.520315\pi\) |
−0.896151 | + | 0.443749i | \(0.853648\pi\) | |||||||
\(30\) | 5773.92 | + | 4213.01i | 1.17130 | + | 0.854653i | ||||
\(31\) | −3400.78 | + | 1963.44i | −0.635587 | + | 0.366956i | −0.782913 | − | 0.622132i | \(-0.786267\pi\) |
0.147326 | + | 0.989088i | \(0.452933\pi\) | |||||||
\(32\) | −255.492 | + | 5786.98i | −0.0441065 | + | 0.999027i | ||||
\(33\) | −653.189 | + | 6648.30i | −0.104413 | + | 1.06274i | ||||
\(34\) | −8540.08 | − | 75.3610i | −1.26696 | − | 0.0111802i | ||||
\(35\) | 8423.34 | 1.16229 | ||||||||
\(36\) | −5226.68 | + | 5757.43i | −0.672156 | + | 0.740410i | ||||
\(37\) | 13035.3 | 1.56537 | 0.782684 | − | 0.622419i | \(-0.213850\pi\) | ||||
0.782684 | + | 0.622419i | \(0.213850\pi\) | |||||||
\(38\) | 6926.71 | + | 61.1240i | 0.778158 | + | 0.00686677i | ||||
\(39\) | 1088.82 | + | 779.839i | 0.114629 | + | 0.0821001i | ||||
\(40\) | −6997.35 | − | 12896.5i | −0.691486 | − | 1.27445i | ||||
\(41\) | −15071.6 | + | 8701.62i | −1.40024 | + | 0.808426i | −0.994416 | − | 0.105527i | \(-0.966347\pi\) |
−0.405819 | + | 0.913954i | \(0.633014\pi\) | |||||||
\(42\) | −976.476 | + | 9111.78i | −0.0854158 | + | 0.797040i | ||||
\(43\) | −5754.33 | − | 3322.27i | −0.474596 | − | 0.274008i | 0.243566 | − | 0.969884i | \(-0.421683\pi\) |
−0.718162 | + | 0.695876i | \(0.755016\pi\) | |||||||
\(44\) | 7065.19 | − | 11753.3i | 0.550164 | − | 0.915223i | ||||
\(45\) | 3833.29 | − | 19319.7i | 0.282189 | − | 1.42223i | ||||
\(46\) | 15068.0 | − | 8523.13i | 1.04993 | − | 0.593888i | ||||
\(47\) | −10068.4 | + | 17438.9i | −0.664836 | + | 1.15153i | 0.314494 | + | 0.949260i | \(0.398165\pi\) |
−0.979330 | + | 0.202270i | \(0.935168\pi\) | |||||||
\(48\) | 14761.7 | − | 6074.21i | 0.924769 | − | 0.380528i | ||||
\(49\) | −3003.68 | − | 5202.52i | −0.178716 | − | 0.309545i | ||||
\(50\) | 16789.9 | + | 9892.22i | 0.949781 | + | 0.559588i | ||||
\(51\) | 9718.04 | + | 21434.5i | 0.523183 | + | 1.15395i | ||||
\(52\) | −1332.41 | − | 2404.83i | −0.0683326 | − | 0.123332i | ||||
\(53\) | 18043.0i | 0.882304i | 0.897432 | + | 0.441152i | \(0.145430\pi\) | ||||
−0.897432 | + | 0.441152i | \(0.854570\pi\) | |||||||
\(54\) | 20454.4 | + | 6386.23i | 0.954556 | + | 0.298030i | ||||
\(55\) | 34735.5i | 1.54834i | ||||||||
\(56\) | 9833.82 | − | 16036.8i | 0.419037 | − | 0.683357i | ||||
\(57\) | −7882.14 | − | 17385.1i | −0.321334 | − | 0.708747i | ||||
\(58\) | 14415.1 | − | 24466.6i | 0.562664 | − | 0.955001i | ||||
\(59\) | −14736.4 | − | 25524.2i | −0.551140 | − | 0.954602i | −0.998193 | − | 0.0600943i | \(-0.980860\pi\) |
0.447053 | − | 0.894507i | \(-0.352473\pi\) | |||||||
\(60\) | −24119.7 | + | 32450.6i | −0.864955 | + | 1.16371i | ||||
\(61\) | −11989.0 | + | 20765.6i | −0.412533 | + | 0.714528i | −0.995166 | − | 0.0982073i | \(-0.968689\pi\) |
0.582633 | + | 0.812735i | \(0.302023\pi\) | |||||||
\(62\) | −10936.7 | − | 19335.0i | −0.361334 | − | 0.638800i | ||||
\(63\) | 23908.8 | − | 8128.76i | 0.758939 | − | 0.258032i | ||||
\(64\) | −32722.1 | − | 1734.09i | −0.998599 | − | 0.0529203i | ||||
\(65\) | 6030.85 | + | 3481.91i | 0.177050 | + | 0.102220i | ||||
\(66\) | −37574.4 | − | 4026.71i | −1.06177 | − | 0.113786i | ||||
\(67\) | −348.663 | + | 201.301i | −0.00948897 | + | 0.00547846i | −0.504737 | − | 0.863273i | \(-0.668411\pi\) |
0.495248 | + | 0.868752i | \(0.335077\pi\) | |||||||
\(68\) | 852.579 | − | 48304.3i | 0.0223595 | − | 1.26682i | ||||
\(69\) | −38783.4 | − | 27777.7i | −0.980672 | − | 0.702383i | ||||
\(70\) | −420.463 | + | 47647.8i | −0.0102561 | + | 1.16224i | ||||
\(71\) | −36645.5 | −0.862730 | −0.431365 | − | 0.902178i | \(-0.641968\pi\) | ||||
−0.431365 | + | 0.902178i | \(0.641968\pi\) | |||||||
\(72\) | −32306.8 | − | 29852.8i | −0.734450 | − | 0.678663i | ||||
\(73\) | 58635.9 | 1.28782 | 0.643911 | − | 0.765100i | \(-0.277311\pi\) | ||||
0.643911 | + | 0.765100i | \(0.277311\pi\) | |||||||
\(74\) | −650.675 | + | 73735.9i | −0.0138129 | + | 1.56531i | ||||
\(75\) | 5250.77 | − | 53443.5i | 0.107788 | − | 1.09709i | ||||
\(76\) | −691.512 | + | 39178.8i | −0.0137330 | + | 0.778067i | ||||
\(77\) | −38568.2 | + | 22267.4i | −0.741314 | + | 0.427998i | ||||
\(78\) | −4465.62 | + | 6120.11i | −0.0831084 | + | 0.113900i | ||||
\(79\) | 39354.5 | + | 22721.3i | 0.709457 | + | 0.409605i | 0.810860 | − | 0.585240i | \(-0.199000\pi\) |
−0.101403 | + | 0.994845i | \(0.532333\pi\) | |||||||
\(80\) | 73300.1 | − | 38937.7i | 1.28050 | − | 0.680213i | ||||
\(81\) | −7763.66 | − | 58536.4i | −0.131478 | − | 0.991319i | ||||
\(82\) | −48469.5 | − | 85689.1i | −0.796039 | − | 1.40731i | ||||
\(83\) | 27253.7 | − | 47204.9i | 0.434241 | − | 0.752128i | −0.562992 | − | 0.826462i | \(-0.690350\pi\) |
0.997233 | + | 0.0743344i | \(0.0236832\pi\) | |||||||
\(84\) | −51493.3 | − | 5978.39i | −0.796255 | − | 0.0924456i | ||||
\(85\) | 61186.2 | + | 105978.i | 0.918557 | + | 1.59099i | ||||
\(86\) | 19080.1 | − | 32384.3i | 0.278185 | − | 0.472160i | ||||
\(87\) | −77879.0 | − | 7651.53i | −1.10312 | − | 0.108380i | ||||
\(88\) | 66131.2 | + | 40551.9i | 0.910332 | + | 0.558219i | ||||
\(89\) | − | 45338.5i | − | 0.606726i | −0.952875 | − | 0.303363i | \(-0.901891\pi\) | ||
0.952875 | − | 0.303363i | \(-0.0981094\pi\) | |||||||
\(90\) | 109093. | + | 22647.9i | 1.41969 | + | 0.294728i | ||||
\(91\) | 8928.39i | 0.113024i | ||||||||
\(92\) | 47460.1 | + | 85659.6i | 0.584600 | + | 1.05513i | ||||
\(93\) | −35643.9 | + | 49766.3i | −0.427344 | + | 0.596661i | ||||
\(94\) | −98143.1 | − | 57823.6i | −1.14562 | − | 0.674971i | ||||
\(95\) | −49627.1 | − | 85956.6i | −0.564169 | − | 0.977170i | ||||
\(96\) | 33622.7 | + | 83804.8i | 0.372353 | + | 0.928091i | ||||
\(97\) | 41820.0 | − | 72434.3i | 0.451289 | − | 0.781655i | −0.547178 | − | 0.837016i | \(-0.684298\pi\) |
0.998466 | + | 0.0553615i | \(0.0176311\pi\) | |||||||
\(98\) | 29578.7 | − | 16731.0i | 0.311110 | − | 0.175977i | ||||
\(99\) | 33520.7 | + | 98593.2i | 0.343736 | + | 1.01102i | ||||
\(100\) | −56794.7 | + | 94480.6i | −0.567947 | + | 0.944806i | ||||
\(101\) | 107672. | + | 62164.7i | 1.05027 | + | 0.606374i | 0.922725 | − | 0.385459i | \(-0.125957\pi\) |
0.127545 | + | 0.991833i | \(0.459290\pi\) | |||||||
\(102\) | −121732. | + | 53901.5i | −1.15852 | + | 0.512980i | ||||
\(103\) | 57893.0 | − | 33424.5i | 0.537691 | − | 0.310436i | −0.206452 | − | 0.978457i | \(-0.566192\pi\) |
0.744143 | + | 0.668021i | \(0.232858\pi\) | |||||||
\(104\) | 13669.8 | − | 7416.89i | 0.123930 | − | 0.0672417i | ||||
\(105\) | 119590. | − | 54220.0i | 1.05857 | − | 0.479939i | ||||
\(106\) | −102062. | − | 900.639i | −0.882270 | − | 0.00778550i | ||||
\(107\) | 144038. | 1.21624 | 0.608119 | − | 0.793846i | \(-0.291924\pi\) | ||||
0.608119 | + | 0.793846i | \(0.291924\pi\) | |||||||
\(108\) | −37145.6 | + | 115384.i | −0.306441 | + | 0.951890i | ||||
\(109\) | −137855. | −1.11136 | −0.555680 | − | 0.831396i | \(-0.687542\pi\) | ||||
−0.555680 | + | 0.831396i | \(0.687542\pi\) | |||||||
\(110\) | −196486. | − | 1733.87i | −1.54828 | − | 0.0136626i | ||||
\(111\) | 185068. | − | 83906.6i | 1.42568 | − | 0.646381i | ||||
\(112\) | 90223.4 | + | 56426.8i | 0.679633 | + | 0.425050i | ||||
\(113\) | −24697.0 | + | 14258.8i | −0.181948 | + | 0.105048i | −0.588208 | − | 0.808710i | \(-0.700166\pi\) |
0.406259 | + | 0.913758i | \(0.366833\pi\) | |||||||
\(114\) | 98734.8 | − | 43718.6i | 0.711555 | − | 0.315068i | ||||
\(115\) | −214818. | − | 124025.i | −1.51470 | − | 0.874511i | ||||
\(116\) | 137679. | + | 82762.5i | 0.949999 | + | 0.571069i | ||||
\(117\) | 20478.1 | + | 4063.13i | 0.138301 | + | 0.0274407i | ||||
\(118\) | 145117. | − | 82084.4i | 0.959428 | − | 0.542695i | ||||
\(119\) | −78447.4 | + | 135875.i | −0.507821 | + | 0.879573i | ||||
\(120\) | −182357. | − | 138056.i | −1.15603 | − | 0.875190i | ||||
\(121\) | −11298.8 | − | 19570.0i | −0.0701565 | − | 0.121515i | ||||
\(122\) | −116865. | − | 68854.0i | −0.710860 | − | 0.418822i | ||||
\(123\) | −157967. | + | 220555.i | −0.941465 | + | 1.31448i | ||||
\(124\) | 109917. | − | 60899.9i | 0.641964 | − | 0.355683i | ||||
\(125\) | − | 25930.3i | − | 0.148434i | ||||||
\(126\) | 44788.0 | + | 135649.i | 0.251325 | + | 0.761186i | ||||
\(127\) | 74540.3i | 0.410093i | 0.978752 | + | 0.205046i | \(0.0657345\pi\) | ||||
−0.978752 | + | 0.205046i | \(0.934266\pi\) | |||||||
\(128\) | 11442.5 | − | 185010.i | 0.0617299 | − | 0.998093i | ||||
\(129\) | −103082. | − | 10127.7i | −0.545390 | − | 0.0535840i | ||||
\(130\) | −19996.9 | + | 33940.5i | −0.103778 | + | 0.176141i | ||||
\(131\) | 66965.9 | + | 115988.i | 0.340938 | + | 0.590522i | 0.984607 | − | 0.174782i | \(-0.0559221\pi\) |
−0.643669 | + | 0.765304i | \(0.722589\pi\) | |||||||
\(132\) | 24653.2 | − | 212344.i | 0.123151 | − | 1.06073i | ||||
\(133\) | 63627.3 | − | 110206.i | 0.311899 | − | 0.540226i | ||||
\(134\) | −1121.28 | − | 1982.31i | −0.00539451 | − | 0.00953694i | ||||
\(135\) | −69935.9 | − | 298965.i | −0.330267 | − | 1.41184i | ||||
\(136\) | 273197. | + | 7233.90i | 1.26657 | + | 0.0335371i | ||||
\(137\) | −143212. | − | 82683.3i | −0.651894 | − | 0.376371i | 0.137287 | − | 0.990531i | \(-0.456162\pi\) |
−0.789182 | + | 0.614160i | \(0.789495\pi\) | |||||||
\(138\) | 159064. | − | 217997.i | 0.711009 | − | 0.974436i | ||||
\(139\) | 105373. | − | 60837.0i | 0.462585 | − | 0.267074i | −0.250546 | − | 0.968105i | \(-0.580610\pi\) |
0.713131 | + | 0.701031i | \(0.247277\pi\) | |||||||
\(140\) | −269505. | − | 4756.81i | −1.16211 | − | 0.0205114i | ||||
\(141\) | −30692.7 | + | 312397.i | −0.130013 | + | 1.32330i | ||||
\(142\) | 1829.21 | − | 207290.i | 0.00761277 | − | 0.862696i | ||||
\(143\) | −36818.2 | −0.150564 | ||||||||
\(144\) | 170479. | − | 181257.i | 0.685117 | − | 0.728433i | ||||
\(145\) | −406896. | −1.60717 | ||||||||
\(146\) | −2926.89 | + | 331682.i | −0.0113638 | + | 1.28777i | ||||
\(147\) | −76132.4 | − | 54528.0i | −0.290587 | − | 0.208126i | ||||
\(148\) | −417065. | − | 7361.26i | −1.56512 | − | 0.0276247i | ||||
\(149\) | −60786.2 | + | 35094.9i | −0.224305 | + | 0.129503i | −0.607942 | − | 0.793981i | \(-0.708005\pi\) |
0.383637 | + | 0.923484i | \(0.374671\pi\) | |||||||
\(150\) | 302048. | + | 32369.4i | 1.09609 | + | 0.117464i | ||||
\(151\) | 31118.1 | + | 17966.1i | 0.111064 | + | 0.0641225i | 0.554503 | − | 0.832182i | \(-0.312908\pi\) |
−0.443439 | + | 0.896304i | \(0.646242\pi\) | |||||||
\(152\) | −221586. | − | 5867.29i | −0.777916 | − | 0.0205982i | ||||
\(153\) | 275942. | + | 241760.i | 0.952992 | + | 0.834943i | ||||
\(154\) | −124033. | − | 219278.i | −0.421440 | − | 0.745062i | ||||
\(155\) | −159147. | + | 275651.i | −0.532070 | + | 0.921573i | ||||
\(156\) | −34396.3 | − | 25565.8i | −0.113162 | − | 0.0841102i | ||||
\(157\) | −84404.3 | − | 146193.i | −0.273285 | − | 0.473343i | 0.696416 | − | 0.717638i | \(-0.254777\pi\) |
−0.969701 | + | 0.244295i | \(0.921443\pi\) | |||||||
\(158\) | −130491. | + | 221480.i | −0.415850 | + | 0.705815i | ||||
\(159\) | 116140. | + | 256164.i | 0.364326 | + | 0.803572i | ||||
\(160\) | 216597. | + | 416576.i | 0.668888 | + | 1.28645i | ||||
\(161\) | − | 318028.i | − | 0.966941i | ||||||
\(162\) | 331507. | − | 40994.3i | 0.992441 | − | 0.122726i | ||||
\(163\) | 325623.i | 0.959943i | 0.877284 | + | 0.479972i | \(0.159353\pi\) | ||||
−0.877284 | + | 0.479972i | \(0.840647\pi\) | |||||||
\(164\) | 487131. | − | 269897.i | 1.41428 | − | 0.783590i | ||||
\(165\) | 223588. | + | 493154.i | 0.639350 | + | 1.41017i | ||||
\(166\) | 265660. | + | 156521.i | 0.748267 | + | 0.440861i | ||||
\(167\) | 106712. | + | 184831.i | 0.296090 | + | 0.512843i | 0.975238 | − | 0.221158i | \(-0.0709838\pi\) |
−0.679148 | + | 0.734002i | \(0.737650\pi\) | |||||||
\(168\) | 36387.9 | − | 290980.i | 0.0994682 | − | 0.795408i | ||||
\(169\) | 181956. | − | 315157.i | 0.490060 | − | 0.848809i | ||||
\(170\) | −602531. | + | 340818.i | −1.59903 | + | 0.904482i | ||||
\(171\) | −223812. | − | 196088.i | −0.585319 | − | 0.512814i | ||||
\(172\) | 182234. | + | 109546.i | 0.469686 | + | 0.282341i | ||||
\(173\) | −27550.4 | − | 15906.2i | −0.0699862 | − | 0.0404066i | 0.464599 | − | 0.885521i | \(-0.346199\pi\) |
−0.534585 | + | 0.845115i | \(0.679532\pi\) | |||||||
\(174\) | 47169.4 | − | 440151.i | 0.118110 | − | 1.10212i | ||||
\(175\) | 310037. | − | 179000.i | 0.765276 | − | 0.441832i | ||||
\(176\) | −232688. | + | 372056.i | −0.566230 | + | 0.905371i | ||||
\(177\) | −373515. | − | 267521.i | −0.896138 | − | 0.641838i | ||||
\(178\) | 256463. | + | 2263.13i | 0.606702 | + | 0.00535378i | ||||
\(179\) | 475398. | 1.10898 | 0.554491 | − | 0.832189i | \(-0.312913\pi\) | ||||
0.554491 | + | 0.832189i | \(0.312913\pi\) | |||||||
\(180\) | −133556. | + | 615971.i | −0.307244 | + | 1.41703i | ||||
\(181\) | 4695.48 | 0.0106533 | 0.00532664 | − | 0.999986i | \(-0.498304\pi\) | ||||
0.00532664 | + | 0.999986i | \(0.498304\pi\) | |||||||
\(182\) | −50504.6 | − | 445.673i | −0.113019 | − | 0.000997327i | ||||
\(183\) | −36547.6 | + | 371989.i | −0.0806735 | + | 0.821113i | ||||
\(184\) | −486914. | + | 264188.i | −1.06025 | + | 0.575267i | ||||
\(185\) | 915021. | − | 528288.i | 1.96563 | − | 1.13486i | ||||
\(186\) | −279730. | − | 204109.i | −0.592867 | − | 0.432593i | ||||
\(187\) | −560310. | − | 323495.i | −1.17172 | − | 0.676493i | ||||
\(188\) | 331986. | − | 552273.i | 0.685054 | − | 1.13962i | ||||
\(189\) | 287120. | − | 269305.i | 0.584667 | − | 0.548391i | ||||
\(190\) | 488702. | − | 276431.i | 0.982110 | − | 0.555525i | ||||
\(191\) | 302770. | − | 524412.i | 0.600522 | − | 1.04013i | −0.392220 | − | 0.919871i | \(-0.628293\pi\) |
0.992742 | − | 0.120263i | \(-0.0383738\pi\) | |||||||
\(192\) | −475731. | + | 186008.i | −0.931341 | + | 0.364149i | ||||
\(193\) | 46694.6 | + | 80877.5i | 0.0902347 | + | 0.156291i | 0.907610 | − | 0.419815i | \(-0.137905\pi\) |
−0.817375 | + | 0.576106i | \(0.804572\pi\) | |||||||
\(194\) | 407647. | + | 240176.i | 0.777642 | + | 0.458168i | ||||
\(195\) | 108035. | + | 10614.3i | 0.203460 | + | 0.0199897i | ||||
\(196\) | 93164.7 | + | 168151.i | 0.173225 | + | 0.312650i | ||||
\(197\) | 466419.i | 0.856270i | 0.903715 | + | 0.428135i | \(0.140829\pi\) | ||||
−0.903715 | + | 0.428135i | \(0.859171\pi\) | |||||||
\(198\) | −559379. | + | 184693.i | −1.01401 | + | 0.334801i | ||||
\(199\) | − | 625885.i | − | 1.12037i | −0.828367 | − | 0.560185i | \(-0.810730\pi\) | ||
0.828367 | − | 0.560185i | \(-0.189270\pi\) | |||||||
\(200\) | −531607. | − | 325983.i | −0.939757 | − | 0.576262i | ||||
\(201\) | −3654.37 | + | 5102.25i | −0.00638002 | + | 0.00890783i | ||||
\(202\) | −357018. | + | 605960.i | −0.615618 | + | 1.04488i | ||||
\(203\) | −260842. | − | 451792.i | −0.444261 | − | 0.769482i | ||||
\(204\) | −298824. | − | 691285.i | −0.502737 | − | 1.16300i | ||||
\(205\) | −705309. | + | 1.22163e6i | −1.17218 | + | 2.03028i | ||||
\(206\) | 186181. | + | 329148.i | 0.305679 | + | 0.540409i | ||||
\(207\) | −729427. | − | 144728.i | −1.18319 | − | 0.234761i | ||||
\(208\) | 41272.3 | + | 77695.0i | 0.0661455 | + | 0.124519i | ||||
\(209\) | 454457. | + | 262381.i | 0.719660 | + | 0.415496i | ||||
\(210\) | 300733. | + | 679182.i | 0.470580 | + | 1.06277i | ||||
\(211\) | 756200. | − | 436592.i | 1.16931 | − | 0.675103i | 0.215794 | − | 0.976439i | \(-0.430766\pi\) |
0.953518 | + | 0.301336i | \(0.0974326\pi\) | |||||||
\(212\) | 10189.2 | − | 577285.i | 0.0155704 | − | 0.882167i | ||||
\(213\) | −520272. | + | 235883.i | −0.785744 | + | 0.356243i | ||||
\(214\) | −7189.87 | + | 814772.i | −0.0107321 | + | 1.21619i | ||||
\(215\) | −538572. | −0.794599 | ||||||||
\(216\) | −650831. | − | 215878.i | −0.949148 | − | 0.314829i | ||||
\(217\) | −408088. | −0.588307 | ||||||||
\(218\) | 6881.20 | − | 779793.i | 0.00980670 | − | 1.11132i | ||||
\(219\) | 832478. | − | 377432.i | 1.17290 | − | 0.531775i | ||||
\(220\) | 19615.7 | − | 1.11136e6i | 0.0273242 | − | 1.54810i | ||||
\(221\) | −112332. | + | 64854.8i | −0.154711 | + | 0.0893226i | ||||
\(222\) | 465391. | + | 1.05105e6i | 0.633775 | + | 1.43133i | ||||
\(223\) | −419169. | − | 242007.i | −0.564452 | − | 0.325886i | 0.190479 | − | 0.981691i | \(-0.438996\pi\) |
−0.754930 | + | 0.655805i | \(0.772329\pi\) | |||||||
\(224\) | −323689. | + | 507544.i | −0.431031 | + | 0.675856i | ||||
\(225\) | −269462. | − | 792558.i | −0.354847 | − | 1.04370i | ||||
\(226\) | −79424.2 | − | 140414.i | −0.103438 | − | 0.182868i | ||||
\(227\) | 117910. | − | 204225.i | 0.151874 | − | 0.263054i | −0.780042 | − | 0.625727i | \(-0.784802\pi\) |
0.931917 | + | 0.362673i | \(0.118136\pi\) | |||||||
\(228\) | 242371. | + | 560689.i | 0.308776 | + | 0.714307i | ||||
\(229\) | 124091. | + | 214932.i | 0.156369 | + | 0.270840i | 0.933557 | − | 0.358429i | \(-0.116688\pi\) |
−0.777187 | + | 0.629269i | \(0.783354\pi\) | |||||||
\(230\) | 712288. | − | 1.20895e6i | 0.887842 | − | 1.50692i | ||||
\(231\) | −404236. | + | 564397.i | −0.498432 | + | 0.695913i | ||||
\(232\) | −475030. | + | 774669.i | −0.579430 | + | 0.944923i | ||||
\(233\) | − | 340275.i | − | 0.410620i | −0.978697 | − | 0.205310i | \(-0.934180\pi\) | ||
0.978697 | − | 0.205310i | \(-0.0658202\pi\) | |||||||
\(234\) | −24005.8 | + | 115634.i | −0.0286601 | + | 0.138053i | ||||
\(235\) | 1.63218e6i | 1.92797i | ||||||||
\(236\) | 457078. | + | 824969.i | 0.534207 | + | 0.964179i | ||||
\(237\) | 704986. | + | 69264.2i | 0.815285 | + | 0.0801010i | ||||
\(238\) | −764679. | − | 450531.i | −0.875057 | − | 0.515563i | ||||
\(239\) | 303908. | + | 526384.i | 0.344149 | + | 0.596084i | 0.985199 | − | 0.171415i | \(-0.0548340\pi\) |
−0.641049 | + | 0.767500i | \(0.721501\pi\) | |||||||
\(240\) | 790035. | − | 1.02464e6i | 0.885357 | − | 1.14827i | ||||
\(241\) | 756653. | − | 1.31056e6i | 0.839179 | − | 1.45350i | −0.0514039 | − | 0.998678i | \(-0.516370\pi\) |
0.890582 | − | 0.454822i | \(-0.150297\pi\) | |||||||
\(242\) | 111265. | − | 62936.1i | 0.122129 | − | 0.0690815i | ||||
\(243\) | −487015. | − | 781092.i | −0.529087 | − | 0.848568i | ||||
\(244\) | 395315. | − | 657624.i | 0.425078 | − | 0.707137i | ||||
\(245\) | −421690. | − | 243463.i | −0.448826 | − | 0.259130i | ||||
\(246\) | −1.23971e6 | − | 904572.i | −1.30612 | − | 0.953027i | ||||
\(247\) | 91110.3 | − | 52602.6i | 0.0950223 | − | 0.0548611i | ||||
\(248\) | 339002. | + | 624800.i | 0.350004 | + | 0.645077i | ||||
\(249\) | 83081.0 | − | 845616.i | 0.0849187 | − | 0.864321i | ||||
\(250\) | 146678. | + | 1294.34i | 0.148428 | + | 0.00130978i | ||||
\(251\) | −1.13311e6 | −1.13524 | −0.567622 | − | 0.823289i | \(-0.692136\pi\) | ||||
−0.567622 | + | 0.823289i | \(0.692136\pi\) | |||||||
\(252\) | −769554. | + | 246578.i | −0.763374 | + | 0.244598i | ||||
\(253\) | 1.31146e6 | 1.28811 | ||||||||
\(254\) | −421647. | − | 3720.78i | −0.410077 | − | 0.00361868i | ||||
\(255\) | 1.55085e6 | + | 1.11076e6i | 1.49355 | + | 1.06972i | ||||
\(256\) | 1.04596e6 | + | 73961.0i | 0.997509 | + | 0.0705347i | ||||
\(257\) | −928992. | + | 536354.i | −0.877362 | + | 0.506545i | −0.869788 | − | 0.493426i | \(-0.835744\pi\) |
−0.00757446 | + | 0.999971i | \(0.502411\pi\) | |||||||
\(258\) | 62434.0 | − | 582590.i | 0.0583945 | − | 0.544896i | ||||
\(259\) | 1.17316e6 | + | 677323.i | 1.08669 | + | 0.627403i | ||||
\(260\) | −190991. | − | 114810.i | −0.175218 | − | 0.105328i | ||||
\(261\) | −1.15493e6 | + | 392665.i | −1.04943 | + | 0.356797i | ||||
\(262\) | −659446. | + | 373012.i | −0.593507 | + | 0.335714i | ||||
\(263\) | 341490. | − | 591477.i | 0.304430 | − | 0.527289i | −0.672704 | − | 0.739912i | \(-0.734867\pi\) |
0.977134 | + | 0.212623i | \(0.0682006\pi\) | |||||||
\(264\) | 1.19992e6 | + | 150054.i | 1.05960 | + | 0.132506i | ||||
\(265\) | 731236. | + | 1.26654e6i | 0.639651 | + | 1.10791i | ||||
\(266\) | 620218. | + | 365418.i | 0.537452 | + | 0.316654i | ||||
\(267\) | −291838. | − | 643690.i | −0.250533 | − | 0.552584i | ||||
\(268\) | 11269.2 | − | 6243.72i | 0.00958417 | − | 0.00531015i | ||||
\(269\) | 931829.i | 0.785155i | 0.919719 | + | 0.392577i | \(0.128417\pi\) | ||||
−0.919719 | + | 0.392577i | \(0.871583\pi\) | |||||||
\(270\) | 1.69463e6 | − | 380679.i | 1.41470 | − | 0.317796i | ||||
\(271\) | 1.76382e6i | 1.45892i | 0.684023 | + | 0.729460i | \(0.260229\pi\) | ||||
−0.684023 | + | 0.729460i | \(0.739771\pi\) | |||||||
\(272\) | −54556.6 | + | 1.54502e6i | −0.0447121 | + | 1.26622i | ||||
\(273\) | 57470.9 | + | 126760.i | 0.0466704 | + | 0.102938i | ||||
\(274\) | 474858. | − | 805969.i | 0.382109 | − | 0.648548i | ||||
\(275\) | 738145. | + | 1.27850e6i | 0.588586 | + | 1.01946i | ||||
\(276\) | 1.22519e6 | + | 910651.i | 0.968124 | + | 0.719580i | ||||
\(277\) | 309348. | − | 535806.i | 0.242241 | − | 0.419573i | −0.719111 | − | 0.694895i | \(-0.755451\pi\) |
0.961352 | + | 0.275321i | \(0.0887843\pi\) | |||||||
\(278\) | 338873. | + | 599092.i | 0.262981 | + | 0.464924i | ||||
\(279\) | −185712. | + | 935988.i | −0.142834 | + | 0.719879i | ||||
\(280\) | 40360.2 | − | 1.52425e6i | 0.0307651 | − | 1.16188i | ||||
\(281\) | −1.58185e6 | − | 913279.i | −1.19508 | − | 0.689982i | −0.235628 | − | 0.971843i | \(-0.575715\pi\) |
−0.959455 | + | 0.281861i | \(0.909048\pi\) | |||||||
\(282\) | −1.76558e6 | − | 189211.i | −1.32210 | − | 0.141685i | ||||
\(283\) | −1.63561e6 | + | 944320.i | −1.21399 | + | 0.700895i | −0.963625 | − | 0.267258i | \(-0.913883\pi\) |
−0.250361 | + | 0.968153i | \(0.580549\pi\) | |||||||
\(284\) | 1.17247e6 | + | 20694.3i | 0.862596 | + | 0.0152249i | ||||
\(285\) | −1.25787e6 | − | 900918.i | −0.917324 | − | 0.657012i | ||||
\(286\) | 1837.83 | − | 208267.i | 0.00132859 | − | 0.150558i | ||||
\(287\) | −1.80857e6 | −1.29607 | ||||||||
\(288\) | 1.01680e6 | + | 973386.i | 0.722359 | + | 0.691518i | ||||
\(289\) | −859473. | −0.605324 | ||||||||
\(290\) | 20310.7 | − | 2.30166e6i | 0.0141818 | − | 1.60711i | ||||
\(291\) | 127485. | − | 1.29757e6i | 0.0882524 | − | 0.898252i | ||||
\(292\) | −1.87606e6 | − | 33112.7i | −1.28762 | − | 0.0227267i | ||||
\(293\) | −965146. | + | 557227.i | −0.656786 | + | 0.379196i | −0.791051 | − | 0.611750i | \(-0.790466\pi\) |
0.134265 | + | 0.990945i | \(0.457133\pi\) | |||||||
\(294\) | 312245. | − | 427931.i | 0.210682 | − | 0.288739i | ||||
\(295\) | −2.06886e6 | − | 1.19446e6i | −1.38413 | − | 0.799128i | ||||
\(296\) | 62458.3 | − | 2.35881e6i | 0.0414344 | − | 1.56482i | ||||
\(297\) | 1.11054e6 | + | 1.18400e6i | 0.730538 | + | 0.778863i | ||||
\(298\) | −195485. | − | 345597.i | −0.127518 | − | 0.225439i | ||||
\(299\) | 131461. | − | 227698.i | 0.0850394 | − | 0.147293i | ||||
\(300\) | −198179. | + | 1.70696e6i | −0.127132 | + | 1.09502i | ||||
\(301\) | −345254. | − | 597998.i | −0.219646 | − | 0.380438i | ||||
\(302\) | −103181. | + | 175127.i | −0.0651001 | + | 0.110493i | ||||
\(303\) | 1.92882e6 | + | 189504.i | 1.20694 | + | 0.118580i | ||||
\(304\) | 44249.9 | − | 1.25314e6i | 0.0274618 | − | 0.777704i | ||||
\(305\) | 1.94354e6i | 1.19631i | ||||||||
\(306\) | −1.38132e6 | + | 1.54884e6i | −0.843319 | + | 0.945588i | ||||
\(307\) | − | 1.64394e6i | − | 0.995497i | −0.867321 | − | 0.497749i | \(-0.834160\pi\) | ||
0.867321 | − | 0.497749i | \(-0.165840\pi\) | |||||||
\(308\) | 1.24656e6 | − | 690664.i | 0.748752 | − | 0.414849i | ||||
\(309\) | 606781. | − | 847192.i | 0.361523 | − | 0.504761i | ||||
\(310\) | −1.55131e6 | − | 913995.i | −0.916842 | − | 0.540182i | ||||
\(311\) | −363235. | − | 629141.i | −0.212954 | − | 0.368848i | 0.739683 | − | 0.672955i | \(-0.234975\pi\) |
−0.952638 | + | 0.304107i | \(0.901642\pi\) | |||||||
\(312\) | 146334. | − | 193291.i | 0.0851055 | − | 0.112415i | ||||
\(313\) | 702457. | − | 1.21669e6i | 0.405284 | − | 0.701972i | −0.589071 | − | 0.808081i | \(-0.700506\pi\) |
0.994354 | + | 0.106110i | \(0.0338394\pi\) | |||||||
\(314\) | 831171. | − | 470147.i | 0.475736 | − | 0.269097i | ||||
\(315\) | 1.34886e6 | − | 1.53957e6i | 0.765931 | − | 0.874224i | ||||
\(316\) | −1.24632e6 | − | 749193.i | −0.702118 | − | 0.422062i | ||||
\(317\) | 1.21701e6 | + | 702639.i | 0.680213 | + | 0.392721i | 0.799935 | − | 0.600086i | \(-0.204867\pi\) |
−0.119722 | + | 0.992807i | \(0.538200\pi\) | |||||||
\(318\) | −1.45482e6 | + | 644177.i | −0.806755 | + | 0.357221i | ||||
\(319\) | 1.86306e6 | − | 1.07564e6i | 1.02506 | − | 0.591821i | ||||
\(320\) | −2.36723e6 | + | 1.20442e6i | −1.29230 | + | 0.657510i | ||||
\(321\) | 2.04497e6 | − | 927157.i | 1.10771 | − | 0.502216i | ||||
\(322\) | 1.79897e6 | + | 15874.8i | 0.966904 | + | 0.00853234i | ||||
\(323\) | 1.84873e6 | 0.985976 | ||||||||
\(324\) | 215342. | + | 1.87726e6i | 0.113964 | + | 0.993485i | ||||
\(325\) | 295969. | 0.155431 | ||||||||
\(326\) | −1.84193e6 | − | 16253.9i | −0.959906 | − | 0.00847059i | ||||
\(327\) | −1.95718e6 | + | 887352.i | −1.01219 | + | 0.458909i | ||||
\(328\) | 1.50239e6 | + | 2.76900e6i | 0.771080 | + | 1.42114i | ||||
\(329\) | −1.81228e6 | + | 1.04632e6i | −0.923071 | + | 0.532935i | ||||
\(330\) | −2.80075e6 | + | 1.24014e6i | −1.41576 | + | 0.626882i | ||||
\(331\) | −214028. | − | 123569.i | −0.107374 | − | 0.0619926i | 0.445351 | − | 0.895356i | \(-0.353079\pi\) |
−0.552725 | + | 0.833363i | \(0.686412\pi\) | |||||||
\(332\) | −898642. | + | 1.49493e6i | −0.447447 | + | 0.744347i | ||||
\(333\) | 2.08738e6 | − | 2.38251e6i | 1.03155 | − | 1.17740i | ||||
\(334\) | −1.05085e6 | + | 594407.i | −0.515436 | + | 0.291553i | ||||
\(335\) | −16316.4 | + | 28260.9i | −0.00794352 | + | 0.0137586i | ||||
\(336\) | 1.64415e6 | + | 220358.i | 0.794500 | + | 0.106483i | ||||
\(337\) | 1.07901e6 | + | 1.86890e6i | 0.517549 | + | 0.896421i | 0.999792 | + | 0.0203835i | \(0.00648871\pi\) |
−0.482244 | + | 0.876037i | \(0.660178\pi\) | |||||||
\(338\) | 1.77364e6 | + | 1.04499e6i | 0.844451 | + | 0.497531i | ||||
\(339\) | −258851. | + | 361410.i | −0.122335 | + | 0.170805i | ||||
\(340\) | −1.89781e6 | − | 3.42531e6i | −0.890337 | − | 1.60695i | ||||
\(341\) | − | 1.68284e6i | − | 0.783712i | ||||||
\(342\) | 1.12037e6 | − | 1.25623e6i | 0.517959 | − | 0.580772i | ||||
\(343\) | − | 2.37090e6i | − | 1.08812i | ||||||
\(344\) | −628755. | + | 1.02536e6i | −0.286474 | + | 0.467177i | ||||
\(345\) | −3.84819e6 | − | 378081.i | −1.74064 | − | 0.171016i | ||||
\(346\) | 91350.9 | − | 155048.i | 0.0410225 | − | 0.0696269i | ||||
\(347\) | −804114. | − | 1.39277e6i | −0.358504 | − | 0.620947i | 0.629207 | − | 0.777237i | \(-0.283380\pi\) |
−0.987711 | + | 0.156291i | \(0.950046\pi\) | |||||||
\(348\) | 2.48742e6 | + | 288791.i | 1.10103 | + | 0.127831i | ||||
\(349\) | 233867. | − | 405070.i | 0.102779 | − | 0.178019i | −0.810049 | − | 0.586362i | \(-0.800560\pi\) |
0.912829 | + | 0.408343i | \(0.133893\pi\) | |||||||
\(350\) | 997061. | + | 1.76270e6i | 0.435062 | + | 0.769145i | ||||
\(351\) | 316890. | − | 74129.1i | 0.137291 | − | 0.0321160i | ||||
\(352\) | −2.09297e6 | − | 1.33480e6i | −0.900339 | − | 0.574197i | ||||
\(353\) | 397710. | + | 229618.i | 0.169875 | + | 0.0980773i | 0.582527 | − | 0.812811i | \(-0.302064\pi\) |
−0.412652 | + | 0.910889i | \(0.635397\pi\) | |||||||
\(354\) | 1.53192e6 | − | 2.09948e6i | 0.649720 | − | 0.890440i | ||||
\(355\) | −2.57236e6 | + | 1.48515e6i | −1.08333 | + | 0.625460i | ||||
\(356\) | −25603.4 | + | 1.45061e6i | −0.0107071 | + | 0.606631i | ||||
\(357\) | −239141. | + | 2.43403e6i | −0.0993078 | + | 1.01078i | ||||
\(358\) | −23730.1 | + | 2.68915e6i | −0.00978572 | + | 1.10894i | ||||
\(359\) | 2.21493e6 | 0.907037 | 0.453518 | − | 0.891247i | \(-0.350169\pi\) | ||||
0.453518 | + | 0.891247i | \(0.350169\pi\) | |||||||
\(360\) | −3.47765e6 | − | 786227.i | −1.41426 | − | 0.319736i | ||||
\(361\) | 976629. | 0.394423 | ||||||||
\(362\) | −234.381 | + | 26560.6i | −9.40050e−5 | + | 0.0106529i | ||||
\(363\) | −286383. | − | 205115.i | −0.114073 | − | 0.0817018i | ||||
\(364\) | 5042.01 | − | 285664.i | 0.00199458 | − | 0.113006i | ||||
\(365\) | 4.11598e6 | − | 2.37636e6i | 1.61712 | − | 0.933643i | ||||
\(366\) | −2.10238e6 | − | 225305.i | −0.820369 | − | 0.0879159i | ||||
\(367\) | 2.54558e6 | + | 1.46969e6i | 0.986555 | + | 0.569588i | 0.904243 | − | 0.427019i | \(-0.140436\pi\) |
0.0823124 | + | 0.996607i | \(0.473769\pi\) | |||||||
\(368\) | −1.47011e6 | − | 2.76748e6i | −0.565889 | − | 1.06528i | ||||
\(369\) | −823043. | + | 4.14812e6i | −0.314671 | + | 1.58594i | ||||
\(370\) | 2.94266e6 | + | 5.20231e6i | 1.11747 | + | 1.97557i | ||||
\(371\) | −937525. | + | 1.62384e6i | −0.353629 | + | 0.612504i | ||||
\(372\) | 1.16853e6 | − | 1.57214e6i | 0.437807 | − | 0.589027i | ||||
\(373\) | −830424. | − | 1.43834e6i | −0.309049 | − | 0.535289i | 0.669105 | − | 0.743168i | \(-0.266678\pi\) |
−0.978155 | + | 0.207878i | \(0.933344\pi\) | |||||||
\(374\) | 1.85786e6 | − | 3.15332e6i | 0.686806 | − | 1.16571i | ||||
\(375\) | −166910. | − | 368143.i | −0.0612920 | − | 0.135188i | ||||
\(376\) | 3.10744e6 | + | 1.90549e6i | 1.13353 | + | 0.695083i | ||||
\(377\) | − | 431292.i | − | 0.156285i | ||||||
\(378\) | 1.50903e6 | + | 1.63757e6i | 0.543211 | + | 0.589483i | ||||
\(379\) | 4.69152e6i | 1.67770i | 0.544360 | + | 0.838852i | \(0.316773\pi\) | ||||
−0.544360 | + | 0.838852i | \(0.683227\pi\) | |||||||
\(380\) | 1.53928e6 | + | 2.77821e6i | 0.546837 | + | 0.986974i | ||||
\(381\) | 479807. | + | 1.05828e6i | 0.169338 | + | 0.373498i | ||||
\(382\) | 2.95129e6 | + | 1.73883e6i | 1.03479 | + | 0.609677i | ||||
\(383\) | −2.64821e6 | − | 4.58683e6i | −0.922476 | − | 1.59777i | −0.795571 | − | 0.605860i | \(-0.792829\pi\) |
−0.126904 | − | 0.991915i | \(-0.540504\pi\) | |||||||
\(384\) | −1.02843e6 | − | 2.70032e6i | −0.355917 | − | 0.934518i | ||||
\(385\) | −1.80488e6 | + | 3.12614e6i | −0.620578 | + | 1.07487i | ||||
\(386\) | −459825. | + | 260097.i | −0.157081 | + | 0.0888521i | ||||
\(387\) | −1.52868e6 | + | 519737.i | −0.518848 | + | 0.176403i | ||||
\(388\) | −1.37894e6 | + | 2.29392e6i | −0.465013 | + | 0.773569i | ||||
\(389\) | −1.59537e6 | − | 921088.i | −0.534549 | − | 0.308622i | 0.208318 | − | 0.978061i | \(-0.433201\pi\) |
−0.742867 | + | 0.669439i | \(0.766535\pi\) | |||||||
\(390\) | −65434.2 | + | 610585.i | −0.0217843 | + | 0.203275i | ||||
\(391\) | 4.00124e6 | − | 2.31011e6i | 1.32359 | − | 0.764173i | ||||
\(392\) | −955818. | + | 518605.i | −0.314167 | + | 0.170460i | ||||
\(393\) | 1.69734e6 | + | 1.21568e6i | 0.554356 | + | 0.397044i | ||||
\(394\) | −2.63836e6 | − | 23281.9i | −0.856236 | − | 0.00755576i | ||||
\(395\) | 3.68335e6 | 1.18782 | ||||||||
\(396\) | −1.01682e6 | − | 3.17342e6i | −0.325841 | − | 1.01693i | ||||
\(397\) | 75711.5 | 0.0241094 | 0.0120547 | − | 0.999927i | \(-0.496163\pi\) | ||||
0.0120547 | + | 0.999927i | \(0.496163\pi\) | |||||||
\(398\) | 3.54040e6 | + | 31241.9i | 1.12033 | + | 0.00988620i | ||||
\(399\) | 193963. | − | 1.97420e6i | 0.0609939 | − | 0.620810i | ||||
\(400\) | 1.87050e6 | − | 2.99083e6i | 0.584532 | − | 0.934636i | ||||
\(401\) | 2.92456e6 | − | 1.68849e6i | 0.908237 | − | 0.524371i | 0.0283735 | − | 0.999597i | \(-0.490967\pi\) |
0.879863 | + | 0.475227i | \(0.157634\pi\) | |||||||
\(402\) | −28679.2 | − | 20926.1i | −0.00885118 | − | 0.00645838i | ||||
\(403\) | −292178. | − | 168689.i | −0.0896158 | − | 0.0517397i | ||||
\(404\) | −3.40988e6 | − | 2.04977e6i | −1.03941 | − | 0.624814i | ||||
\(405\) | −2.91731e6 | − | 3.79436e6i | −0.883781 | − | 1.14948i | ||||
\(406\) | 2.56864e6 | − | 1.45294e6i | 0.773373 | − | 0.437454i | ||||
\(407\) | −2.79309e6 | + | 4.83777e6i | −0.835793 | + | 1.44764i | ||||
\(408\) | 3.92526e6 | − | 1.65583e6i | 1.16740 | − | 0.492455i | ||||
\(409\) | −1.75008e6 | − | 3.03123e6i | −0.517310 | − | 0.896007i | −0.999798 | − | 0.0201041i | \(-0.993600\pi\) |
0.482488 | − | 0.875902i | \(-0.339733\pi\) | |||||||
\(410\) | −6.87512e6 | − | 4.05066e6i | −2.01986 | − | 1.19005i | ||||
\(411\) | −2.56546e6 | − | 252054.i | −0.749136 | − | 0.0736018i | ||||
\(412\) | −1.87116e6 | + | 1.03673e6i | −0.543086 | + | 0.300899i | ||||
\(413\) | − | 3.06285e6i | − | 0.883591i | ||||||
\(414\) | 855083. | − | 4.11887e6i | 0.245193 | − | 1.18108i | ||||
\(415\) | − | 4.41810e6i | − | 1.25926i | ||||||
\(416\) | −441552. | + | 229584.i | −0.125098 | + | 0.0650442i | ||||
\(417\) | 1.10442e6 | − | 1.54200e6i | 0.311024 | − | 0.434254i | ||||
\(418\) | −1.50688e6 | + | 2.55760e6i | −0.421830 | + | 0.715966i | ||||
\(419\) | 2.65830e6 | + | 4.60430e6i | 0.739721 | + | 1.28123i | 0.952621 | + | 0.304161i | \(0.0983760\pi\) |
−0.212899 | + | 0.977074i | \(0.568291\pi\) | |||||||
\(420\) | −3.85689e6 | + | 1.66724e6i | −1.06688 | + | 0.461184i | ||||
\(421\) | −2.59023e6 | + | 4.48640e6i | −0.712250 | + | 1.23365i | 0.251761 | + | 0.967790i | \(0.418990\pi\) |
−0.964011 | + | 0.265864i | \(0.914343\pi\) | |||||||
\(422\) | 2.43190e6 | + | 4.29934e6i | 0.664758 | + | 1.17522i | ||||
\(423\) | 1.57510e6 | + | 4.63279e6i | 0.428014 | + | 1.25890i | ||||
\(424\) | 3.26498e6 | + | 86452.4i | 0.881995 | + | 0.0233541i | ||||
\(425\) | 4.50414e6 | + | 2.60047e6i | 1.20959 | + | 0.698360i | ||||
\(426\) | −1.30833e6 | − | 2.95476e6i | −0.349296 | − | 0.788857i | ||||
\(427\) | −2.15799e6 | + | 1.24591e6i | −0.572768 | + | 0.330688i | ||||
\(428\) | −4.60851e6 | − | 81340.9i | −1.21605 | − | 0.0214635i | ||||
\(429\) | −522723. | + | 236994.i | −0.137129 | + | 0.0621719i | ||||
\(430\) | 26883.6 | − | 3.04651e6i | 0.00701158 | − | 0.794568i | ||||
\(431\) | −5.72244e6 | −1.48384 | −0.741922 | − | 0.670486i | \(-0.766086\pi\) | ||||
−0.741922 | + | 0.670486i | \(0.766086\pi\) | |||||||
\(432\) | 1.25363e6 | − | 3.67074e6i | 0.323192 | − | 0.946333i | ||||
\(433\) | −6.17405e6 | −1.58252 | −0.791262 | − | 0.611478i | \(-0.790575\pi\) | ||||
−0.791262 | + | 0.611478i | \(0.790575\pi\) | |||||||
\(434\) | 20370.2 | − | 2.30840e6i | 0.00519125 | − | 0.588284i | ||||
\(435\) | −5.77687e6 | + | 2.61914e6i | −1.46376 | + | 0.663644i | ||||
\(436\) | 4.41066e6 | + | 77848.8i | 1.11119 | + | 0.0196126i | ||||
\(437\) | −3.24533e6 | + | 1.87369e6i | −0.812935 | + | 0.469348i | ||||
\(438\) | 2.09344e6 | + | 4.72786e6i | 0.521405 | + | 1.17755i | ||||
\(439\) | 5.02340e6 | + | 2.90026e6i | 1.24405 | + | 0.718251i | 0.969915 | − | 0.243442i | \(-0.0782765\pi\) |
0.274131 | + | 0.961692i | \(0.411610\pi\) | |||||||
\(440\) | 6.28559e6 | + | 166434.i | 1.54780 | + | 0.0409837i | ||||
\(441\) | −1.43187e6 | − | 284103.i | −0.350597 | − | 0.0695631i | ||||
\(442\) | −361252. | − | 638657.i | −0.0879539 | − | 0.155493i | ||||
\(443\) | 2.08981e6 | − | 3.61966e6i | 0.505939 | − | 0.876312i | −0.494037 | − | 0.869441i | \(-0.664479\pi\) |
0.999976 | − | 0.00687158i | \(-0.00218731\pi\) | |||||||
\(444\) | −5.96862e6 | + | 2.58008e6i | −1.43687 | + | 0.621121i | ||||
\(445\) | −1.83746e6 | − | 3.18257e6i | −0.439863 | − | 0.761864i | ||||
\(446\) | 1.38987e6 | − | 2.35900e6i | 0.330854 | − | 0.561554i | ||||
\(447\) | −637105. | + | 889530.i | −0.150814 | + | 0.210568i | ||||
\(448\) | −2.85484e6 | − | 1.85633e6i | −0.672026 | − | 0.436978i | ||||
\(449\) | − | 970936.i | − | 0.227287i | −0.993522 | − | 0.113644i | \(-0.963748\pi\) | ||
0.993522 | − | 0.113644i | \(-0.0362522\pi\) | |||||||
\(450\) | 4.49666e6 | − | 1.48468e6i | 1.04679 | − | 0.345623i | ||||
\(451\) | − | 7.45802e6i | − | 1.72656i | ||||||
\(452\) | 798233. | − | 442265.i | 0.183774 | − | 0.101821i | ||||
\(453\) | 557443. | + | 54768.2i | 0.127631 | + | 0.0125396i | ||||
\(454\) | 1.14934e6 | + | 677166.i | 0.261704 | + | 0.154190i | ||||
\(455\) | 361845. | + | 626734.i | 0.0819397 | + | 0.141924i | ||||
\(456\) | −3.18371e6 | + | 1.34302e6i | −0.717004 | + | 0.302461i | ||||
\(457\) | −1.03810e6 | + | 1.79803e6i | −0.232513 | + | 0.402724i | −0.958547 | − | 0.284935i | \(-0.908028\pi\) |
0.726034 | + | 0.687659i | \(0.241361\pi\) | |||||||
\(458\) | −1.22199e6 | + | 691209.i | −0.272209 | + | 0.153973i | ||||
\(459\) | 5.47385e6 | + | 1.65617e6i | 1.21272 | + | 0.366921i | ||||
\(460\) | 6.80306e6 | + | 4.08950e6i | 1.49903 | + | 0.901105i | ||||
\(461\) | 2.52767e6 | + | 1.45935e6i | 0.553947 | + | 0.319821i | 0.750712 | − | 0.660629i | \(-0.229710\pi\) |
−0.196766 | + | 0.980451i | \(0.563044\pi\) | |||||||
\(462\) | −3.17241e6 | − | 2.31479e6i | −0.691488 | − | 0.504553i | ||||
\(463\) | −5.02987e6 | + | 2.90400e6i | −1.09045 | + | 0.629569i | −0.933695 | − | 0.358069i | \(-0.883435\pi\) |
−0.156751 | + | 0.987638i | \(0.550102\pi\) | |||||||
\(464\) | −4.35831e6 | − | 2.72574e6i | −0.939773 | − | 0.587745i | ||||
\(465\) | −485147. | + | 4.93793e6i | −0.104050 | + | 1.05904i | ||||
\(466\) | 1.92481e6 | + | 16985.3i | 0.410604 | + | 0.00362333i | ||||
\(467\) | 8.31962e6 | 1.76527 | 0.882636 | − | 0.470058i | \(-0.155767\pi\) | ||||
0.882636 | + | 0.470058i | \(0.155767\pi\) | |||||||
\(468\) | −652903. | − | 141564.i | −0.137795 | − | 0.0298771i | ||||
\(469\) | −41838.9 | −0.00878311 | ||||||||
\(470\) | −9.23266e6 | − | 81472.6i | −1.92789 | − | 0.0170125i | ||||
\(471\) | −2.13935e6 | − | 1.53226e6i | −0.444354 | − | 0.318258i | ||||
\(472\) | −4.68936e6 | + | 2.54434e6i | −0.968856 | + | 0.525679i | ||||
\(473\) | 2.46598e6 | − | 1.42373e6i | 0.506799 | − | 0.292601i | ||||
\(474\) | −426992. | + | 3.98439e6i | −0.0872920 | + | 0.814547i | ||||
\(475\) | −3.65323e6 | − | 2.10919e6i | −0.742922 | − | 0.428926i | ||||
\(476\) | 2.58666e6 | − | 4.30302e6i | 0.523265 | − | 0.870474i | ||||
\(477\) | 3.29779e6 | + | 2.88928e6i | 0.663631 | + | 0.581425i | ||||
\(478\) | −2.99273e6 | + | 1.69282e6i | −0.599098 | + | 0.338876i | ||||
\(479\) | −57304.6 | + | 99254.5i | −0.0114117 | + | 0.0197657i | −0.871675 | − | 0.490085i | \(-0.836966\pi\) |
0.860263 | + | 0.509850i | \(0.170299\pi\) | |||||||
\(480\) | 5.75657e6 | + | 4.52009e6i | 1.14041 | + | 0.895455i | ||||
\(481\) | 559963. | + | 969884.i | 0.110356 | + | 0.191142i | ||||
\(482\) | 7.37560e6 | + | 4.34553e6i | 1.44604 | + | 0.851972i | ||||
\(483\) | −2.04710e6 | − | 4.51517e6i | −0.399275 | − | 0.880656i | ||||
\(484\) | 350453. | + | 632524.i | 0.0680011 | + | 0.122734i | ||||
\(485\) | − | 6.77943e6i | − | 1.30870i | ||||||
\(486\) | 4.44266e6 | − | 2.71588e6i | 0.853203 | − | 0.521578i | ||||
\(487\) | − | 2.72517e6i | − | 0.520681i | −0.965517 | − | 0.260340i | \(-0.916165\pi\) | ||
0.965517 | − | 0.260340i | \(-0.0838348\pi\) | |||||||
\(488\) | 3.70021e6 | + | 2.26898e6i | 0.703358 | + | 0.431302i | ||||
\(489\) | 2.09599e6 | + | 4.62300e6i | 0.396385 | + | 0.874283i | ||||
\(490\) | 1.39823e6 | − | 2.37319e6i | 0.263080 | − | 0.446522i | ||||
\(491\) | 2.94851e6 | + | 5.10696e6i | 0.551948 | + | 0.956002i | 0.998134 | + | 0.0610621i | \(0.0194488\pi\) |
−0.446186 | + | 0.894940i | \(0.647218\pi\) | |||||||
\(492\) | 5.17871e6 | − | 6.96745e6i | 0.964515 | − | 1.29766i | ||||
\(493\) | 3.78946e6 | − | 6.56353e6i | 0.702198 | − | 1.21624i | ||||
\(494\) | 293006. | + | 518004.i | 0.0540205 | + | 0.0955027i | ||||
\(495\) | 6.34874e6 | + | 5.56231e6i | 1.16459 | + | 1.02033i | ||||
\(496\) | −3.55119e6 | + | 1.88642e6i | −0.648141 | + | 0.344298i | ||||
\(497\) | −3.29804e6 | − | 1.90413e6i | −0.598915 | − | 0.345784i | ||||
\(498\) | 4.77919e6 | + | 512169.i | 0.863538 | + | 0.0925422i | ||||
\(499\) | −6.34312e6 | + | 3.66220e6i | −1.14039 | + | 0.658402i | −0.946526 | − | 0.322627i | \(-0.895434\pi\) |
−0.193860 | + | 0.981029i | \(0.562101\pi\) | |||||||
\(500\) | −14643.3 | + | 829640.i | −0.00261947 | + | 0.148410i | ||||
\(501\) | 2.70478e6 | + | 1.93723e6i | 0.481435 | + | 0.344816i | ||||
\(502\) | 56560.9 | − | 6.40961e6i | 0.0100174 | − | 1.13520i | ||||
\(503\) | −5.80816e6 | −1.02357 | −0.511786 | − | 0.859113i | \(-0.671016\pi\) | ||||
−0.511786 | + | 0.859113i | \(0.671016\pi\) | |||||||
\(504\) | −1.35639e6 | − | 4.36539e6i | −0.237852 | − | 0.765503i | ||||
\(505\) | 1.00775e7 | 1.75843 | ||||||||
\(506\) | −65463.1 | + | 7.41843e6i | −0.0113663 | + | 1.28806i | ||||
\(507\) | 554678. | − | 5.64564e6i | 0.0958344 | − | 0.975423i | ||||
\(508\) | 42094.2 | − | 2.38492e6i | 0.00723707 | − | 0.410029i | ||||
\(509\) | −3.70500e6 | + | 2.13908e6i | −0.633861 | + | 0.365960i | −0.782246 | − | 0.622970i | \(-0.785926\pi\) |
0.148385 | + | 0.988930i | \(0.452593\pi\) | |||||||
\(510\) | −6.36058e6 | + | 8.71715e6i | −1.08286 | + | 1.48405i | ||||
\(511\) | 5.27714e6 | + | 3.04676e6i | 0.894018 | + | 0.516162i | ||||
\(512\) | −470581. | + | 5.91295e6i | −0.0793340 | + | 0.996848i | ||||
\(513\) | −4.43974e6 | − | 1.34329e6i | −0.744843 | − | 0.225360i | ||||
\(514\) | −2.98758e6 | − | 5.28174e6i | −0.498784 | − | 0.881798i | ||||
\(515\) | 2.70922e6 | − | 4.69251e6i | 0.450119 | − | 0.779628i | ||||
\(516\) | 3.29238e6 | + | 382247.i | 0.544360 | + | 0.0632004i | ||||
\(517\) | −4.31472e6 | − | 7.47332e6i | −0.709948 | − | 1.22967i | ||||
\(518\) | −3.88993e6 | + | 6.60231e6i | −0.636967 | + | 1.08111i | ||||
\(519\) | −493531. | − | 48488.9i | −0.0804259 | − | 0.00790176i | ||||
\(520\) | 658969. | − | 1.07463e6i | 0.106870 | − | 0.174282i | ||||
\(521\) | 6.07298e6i | 0.980184i | 0.871671 | + | 0.490092i | \(0.163037\pi\) | ||||
−0.871671 | + | 0.490092i | \(0.836963\pi\) | |||||||
\(522\) | −2.16351e6 | − | 6.55263e6i | −0.347523 | − | 1.05254i | ||||
\(523\) | 525817.i | 0.0840583i | 0.999116 | + | 0.0420291i | \(0.0133822\pi\) | ||||
−0.999116 | + | 0.0420291i | \(0.986618\pi\) | |||||||
\(524\) | −2.07707e6 | − | 3.74886e6i | −0.330464 | − | 0.596446i | ||||
\(525\) | 3.24952e6 | − | 4.53700e6i | 0.514543 | − | 0.718408i | ||||
\(526\) | 3.32872e6 | + | 1.96121e6i | 0.524582 | + | 0.309071i | ||||
\(527\) | −2.96430e6 | − | 5.13432e6i | −0.464939 | − | 0.805297i | ||||
\(528\) | −908694. | + | 6.78002e6i | −0.141851 | + | 1.05839i | ||||
\(529\) | −1.46446e6 | + | 2.53652e6i | −0.227530 | + | 0.394093i | ||||
\(530\) | −7.20085e6 | + | 4.07312e6i | −1.11351 | + | 0.629850i | ||||
\(531\) | −7.02495e6 | − | 1.39384e6i | −1.08120 | − | 0.214525i | ||||
\(532\) | −2.09799e6 | + | 3.49010e6i | −0.321384 | + | 0.534637i | ||||
\(533\) | −1.29488e6 | − | 747598.i | −0.197429 | − | 0.113986i | ||||
\(534\) | 3.65569e6 | − | 1.61869e6i | 0.554773 | − | 0.245647i | ||||
\(535\) | 1.01109e7 | − | 5.83751e6i | 1.52723 | − | 0.881746i | ||||
\(536\) | 34756.0 | + | 64057.2i | 0.00522537 | + | 0.00963066i | ||||
\(537\) | 6.74942e6 | − | 3.06008e6i | 1.01002 | − | 0.457928i | ||||
\(538\) | −5.27101e6 | − | 46513.5i | −0.785124 | − | 0.00692825i | ||||
\(539\) | 2.57440e6 | 0.381685 | ||||||||
\(540\) | 2.06877e6 | + | 9.60488e6i | 0.305301 | + | 1.41745i | ||||
\(541\) | 1.11917e7 | 1.64400 | 0.822000 | − | 0.569488i | \(-0.192858\pi\) | ||||
0.822000 | + | 0.569488i | \(0.192858\pi\) | |||||||
\(542\) | −9.97730e6 | − | 88043.6i | −1.45886 | − | 0.0128736i | ||||
\(543\) | 66663.6 | − | 30224.2i | 0.00970263 | − | 0.00439901i | ||||
\(544\) | −8.73687e6 | − | 385728.i | −1.26578 | − | 0.0558836i | ||||
\(545\) | −9.67679e6 | + | 5.58690e6i | −1.39553 | + | 0.805711i | ||||
\(546\) | −719904. | + | 318765.i | −0.103346 | + | 0.0457602i | ||||
\(547\) | 776917. | + | 448553.i | 0.111021 | + | 0.0640982i | 0.554482 | − | 0.832195i | \(-0.312916\pi\) |
−0.443461 | + | 0.896294i | \(0.646250\pi\) | |||||||
\(548\) | 4.53537e6 | + | 2.72633e6i | 0.645151 | + | 0.387817i | ||||
\(549\) | 1.87557e6 | + | 5.51654e6i | 0.265584 | + | 0.781152i | ||||
\(550\) | −7.26888e6 | + | 4.11160e6i | −1.02461 | + | 0.579567i | ||||
\(551\) | −3.07356e6 | + | 5.32357e6i | −0.431284 | + | 0.747006i | ||||
\(552\) | −5.21238e6 | + | 6.88500e6i | −0.728095 | + | 0.961737i | ||||
\(553\) | 2.36123e6 | + | 4.08977e6i | 0.328341 | + | 0.568704i | ||||
\(554\) | 3.01542e6 | + | 1.77661e6i | 0.417420 | + | 0.245934i | ||||
\(555\) | 9.59042e6 | − | 1.33902e7i | 1.32162 | − | 1.84525i | ||||
\(556\) | −3.40576e6 | + | 1.88698e6i | −0.467226 | + | 0.258869i | ||||
\(557\) | 2.91603e6i | 0.398249i | 0.979974 | + | 0.199124i | \(0.0638098\pi\) | ||||
−0.979974 | + | 0.199124i | \(0.936190\pi\) | |||||||
\(558\) | −5.28527e6 | − | 1.09723e6i | −0.718591 | − | 0.149180i | ||||
\(559\) | − | 570864.i | − | 0.0772686i | ||||||
\(560\) | 8.62013e6 | + | 304388.i | 1.16157 | + | 0.0410164i | ||||
\(561\) | −1.00372e7 | − | 986149.i | −1.34650 | − | 0.132293i | ||||
\(562\) | 5.24504e6 | − | 8.90233e6i | 0.700500 | − | 1.18895i | ||||
\(563\) | −1.88482e6 | − | 3.26460e6i | −0.250610 | − | 0.434070i | 0.713084 | − | 0.701079i | \(-0.247298\pi\) |
−0.963694 | + | 0.267009i | \(0.913965\pi\) | |||||||
\(564\) | 1.15843e6 | − | 9.97780e6i | 0.153346 | − | 1.32080i | ||||
\(565\) | −1.15575e6 | + | 2.00182e6i | −0.152315 | + | 0.263817i | ||||
\(566\) | −5.26003e6 | − | 9.29918e6i | −0.690156 | − | 1.22012i | ||||
\(567\) | 2.34287e6 | − | 5.67160e6i | 0.306049 | − | 0.740880i | ||||
\(568\) | −175586. | + | 6.63122e6i | −0.0228359 | + | 0.862428i | ||||
\(569\) | −578222. | − | 333836.i | −0.0748710 | − | 0.0432268i | 0.462097 | − | 0.886829i | \(-0.347097\pi\) |
−0.536968 | + | 0.843603i | \(0.680430\pi\) | |||||||
\(570\) | 5.15895e6 | − | 7.07033e6i | 0.665081 | − | 0.911491i | ||||
\(571\) | −5.54218e6 | + | 3.19978e6i | −0.711361 | + | 0.410704i | −0.811565 | − | 0.584262i | \(-0.801384\pi\) |
0.100204 | + | 0.994967i | \(0.468051\pi\) | |||||||
\(572\) | 1.17800e6 | + | 20791.8i | 0.150541 | + | 0.00265707i | ||||
\(573\) | 922970. | − | 9.39419e6i | 0.117436 | − | 1.19529i | ||||
\(574\) | 90277.1 | − | 1.02304e7i | 0.0114366 | − | 1.29602i | ||||
\(575\) | −1.05424e7 | −1.32974 | ||||||||
\(576\) | −5.55684e6 | + | 5.70306e6i | −0.697866 | + | 0.716229i | ||||
\(577\) | −8.64788e6 | −1.08136 | −0.540680 | − | 0.841229i | \(-0.681833\pi\) | ||||
−0.540680 | + | 0.841229i | \(0.681833\pi\) | |||||||
\(578\) | 42901.8 | − | 4.86173e6i | 0.00534141 | − | 0.605300i | ||||
\(579\) | 1.18354e6 | + | 847684.i | 0.146719 | + | 0.105084i | ||||
\(580\) | 1.30186e7 | + | 229781.i | 1.60692 | + | 0.0283625i | ||||
\(581\) | 4.90560e6 | − | 2.83225e6i | 0.602908 | − | 0.348089i | ||||
\(582\) | 7.33352e6 | + | 785906.i | 0.897439 | + | 0.0961752i | ||||
\(583\) | −6.69626e6 | − | 3.86609e6i | −0.815945 | − | 0.471086i | ||||
\(584\) | 280952. | − | 1.06105e7i | 0.0340879 | − | 1.28737i | ||||
\(585\) | 1.60214e6 | − | 544712.i | 0.193558 | − | 0.0658078i | ||||
\(586\) | −3.10385e6 | − | 5.48729e6i | −0.373385 | − | 0.660107i | ||||
\(587\) | −358200. | + | 620420.i | −0.0429072 | + | 0.0743175i | −0.886681 | − | 0.462381i | \(-0.846995\pi\) |
0.843774 | + | 0.536698i | \(0.180329\pi\) | |||||||
\(588\) | 2.40506e6 | + | 1.78762e6i | 0.286869 | + | 0.213222i | ||||
\(589\) | 2.40429e6 | + | 4.16436e6i | 0.285561 | + | 0.494606i | ||||
\(590\) | 6.85989e6 | − | 1.16432e7i | 0.811310 | − | 1.37702i | ||||
\(591\) | 3.00228e6 | + | 6.62194e6i | 0.353576 | + | 0.779860i | ||||
\(592\) | 1.33398e7 | + | 471047.i | 1.56439 | + | 0.0552408i | ||||
\(593\) | 6.55369e6i | 0.765331i | 0.923887 | + | 0.382665i | \(0.124994\pi\) | ||||
−0.923887 | + | 0.382665i | \(0.875006\pi\) | |||||||
\(594\) | −6.75289e6 | + | 6.22282e6i | −0.785279 | + | 0.723637i | ||||
\(595\) | 1.27171e7i | 1.47264i | ||||||||
\(596\) | 1.96467e6 | − | 1.08854e6i | 0.226556 | − | 0.125524i | ||||
\(597\) | −4.02874e6 | − | 8.88594e6i | −0.462630 | − | 1.02039i | ||||
\(598\) | 1.28144e6 | + | 754995.i | 0.146536 | + | 0.0863358i | ||||
\(599\) | −1.04139e6 | − | 1.80373e6i | −0.118589 | − | 0.205402i | 0.800620 | − | 0.599173i | \(-0.204504\pi\) |
−0.919209 | + | 0.393771i | \(0.871170\pi\) | |||||||
\(600\) | −9.64576e6 | − | 1.20623e6i | −1.09385 | − | 0.136789i | ||||
\(601\) | 392578. | − | 679965.i | 0.0443343 | − | 0.0767893i | −0.843007 | − | 0.537903i | \(-0.819217\pi\) |
0.887341 | + | 0.461114i | \(0.152550\pi\) | |||||||
\(602\) | 3.39989e6 | − | 1.92313e6i | 0.382361 | − | 0.216280i | ||||
\(603\) | −19040.0 | + | 95961.5i | −0.00213243 | + | 0.0107474i | ||||
\(604\) | −985480. | − | 592398.i | −0.109915 | − | 0.0660725i | ||||
\(605\) | −1.58625e6 | − | 915822.i | −0.176191 | − | 0.101724i | ||||
\(606\) | −1.16824e6 | + | 1.09011e7i | −0.129226 | + | 1.20584i | ||||
\(607\) | −8.67650e6 | + | 5.00938e6i | −0.955812 | + | 0.551838i | −0.894882 | − | 0.446304i | \(-0.852740\pi\) |
−0.0609306 | + | 0.998142i | \(0.519407\pi\) | |||||||
\(608\) | 7.08632e6 | + | 312857.i | 0.777431 | + | 0.0343232i | ||||
\(609\) | −6.61142e6 | − | 4.73527e6i | −0.722356 | − | 0.517371i | ||||
\(610\) | −1.09939e7 | − | 97014.3i | −1.19626 | − | 0.0105563i | ||||
\(611\) | −1.73005e6 | −0.187480 | ||||||||
\(612\) | −8.69225e6 | − | 7.89096e6i | −0.938109 | − | 0.851631i | ||||
\(613\) | −4.81550e6 | −0.517595 | −0.258797 | − | 0.965932i | \(-0.583326\pi\) | ||||
−0.258797 | + | 0.965932i | \(0.583326\pi\) | |||||||
\(614\) | 9.29917e6 | + | 82059.5i | 0.995458 | + | 0.00878432i | ||||
\(615\) | −2.15008e6 | + | 2.18840e7i | −0.229228 | + | 2.33313i | ||||
\(616\) | 3.84461e6 | + | 7.08583e6i | 0.408226 | + | 0.752383i | ||||
\(617\) | 8.76037e6 | − | 5.05780e6i | 0.926423 | − | 0.534871i | 0.0407445 | − | 0.999170i | \(-0.487027\pi\) |
0.885678 | + | 0.464299i | \(0.153694\pi\) | |||||||
\(618\) | 4.76197e6 | + | 3.47463e6i | 0.501551 | + | 0.365963i | ||||
\(619\) | 1.10769e7 | + | 6.39527e6i | 1.16196 | + | 0.670860i | 0.951774 | − | 0.306800i | \(-0.0992584\pi\) |
0.210190 | + | 0.977661i | \(0.432592\pi\) | |||||||
\(620\) | 5.24757e6 | − | 8.72957e6i | 0.548251 | − | 0.912040i | ||||
\(621\) | −1.12876e7 | + | 2.64047e6i | −1.17455 | + | 0.274759i | ||||
\(622\) | 3.57695e6 | − | 2.02328e6i | 0.370712 | − | 0.209691i | ||||
\(623\) | 2.35582e6 | − | 4.08040e6i | 0.243177 | − | 0.421195i | ||||
\(624\) | 1.08607e6 | + | 837404.i | 0.111660 | + | 0.0860941i | ||||
\(625\) | 4.33178e6 | + | 7.50287e6i | 0.443575 | + | 0.768294i | ||||
\(626\) | 6.84731e6 | + | 4.03428e6i | 0.698368 | + | 0.411462i | ||||
\(627\) | 8.14104e6 | + | 799849.i | 0.827010 | + | 0.0812529i | ||||
\(628\) | 2.61796e6 | + | 4.72510e6i | 0.264889 | + | 0.478092i | ||||
\(629\) | 1.96800e7i | 1.98334i | ||||||||
\(630\) | 8.64144e6 | + | 7.70684e6i | 0.867431 | + | 0.773616i | ||||
\(631\) | − | 1.13313e7i | − | 1.13294i | −0.824082 | − | 0.566471i | \(-0.808308\pi\) | ||
0.824082 | − | 0.566471i | \(-0.191692\pi\) | |||||||
\(632\) | 4.30012e6 | − | 7.01256e6i | 0.428241 | − | 0.698367i | ||||
\(633\) | 7.92580e6 | − | 1.10660e7i | 0.786201 | − | 1.09770i | ||||
\(634\) | −4.03532e6 | + | 6.84909e6i | −0.398708 | + | 0.676721i | ||||
\(635\) | 3.02093e6 | + | 5.23241e6i | 0.297308 | + | 0.514953i | ||||
\(636\) | −3.57125e6 | − | 8.26154e6i | −0.350088 | − | 0.809876i | ||||
\(637\) | 258060. | − | 446974.i | 0.0251984 | − | 0.0436449i | ||||
\(638\) | 5.99151e6 | + | 1.05924e7i | 0.582753 | + | 1.03025i | ||||
\(639\) | −5.86817e6 | + | 6.69784e6i | −0.568526 | + | 0.648908i | ||||
\(640\) | −6.69479e6 | − | 1.34507e7i | −0.646081 | − | 1.29806i | ||||
\(641\) | −1.30074e7 | − | 7.50980e6i | −1.25039 | − | 0.721910i | −0.279200 | − | 0.960233i | \(-0.590069\pi\) |
−0.971186 | + | 0.238323i | \(0.923402\pi\) | |||||||
\(642\) | 5.14251e6 | + | 1.16139e7i | 0.492422 | + | 1.11210i | ||||
\(643\) | −2.31540e6 | + | 1.33680e6i | −0.220851 | + | 0.127508i | −0.606344 | − | 0.795202i | \(-0.707365\pi\) |
0.385493 | + | 0.922711i | \(0.374031\pi\) | |||||||
\(644\) | −179596. | + | 1.01753e7i | −0.0170640 | + | 0.966791i | ||||
\(645\) | −7.64634e6 | + | 3.46672e6i | −0.723693 | + | 0.328110i | ||||
\(646\) | −92281.7 | + | 1.04576e7i | −0.00870030 | + | 0.985937i | ||||
\(647\) | 1.55764e7 | 1.46288 | 0.731438 | − | 0.681908i | \(-0.238850\pi\) | ||||
0.731438 | + | 0.681908i | \(0.238850\pi\) | |||||||
\(648\) | −1.06297e7 | + | 1.12440e6i | −0.994452 | + | 0.105193i | ||||
\(649\) | 1.26303e7 | 1.17707 | ||||||||
\(650\) | −14773.7 | + | 1.67419e6i | −0.00137153 | + | 0.155425i | ||||
\(651\) | −5.79379e6 | + | 2.62681e6i | −0.535809 | + | 0.242927i | ||||
\(652\) | 183885. | − | 1.04183e7i | 0.0169405 | − | 0.959794i | ||||
\(653\) | 415132. | − | 239677.i | 0.0380981 | − | 0.0219959i | −0.480830 | − | 0.876814i | \(-0.659665\pi\) |
0.518928 | + | 0.854818i | \(0.326331\pi\) | |||||||
\(654\) | −4.92173e6 | − | 1.11153e7i | −0.449960 | − | 1.01620i | ||||
\(655\) | 9.40143e6 | + | 5.42792e6i | 0.856230 | + | 0.494345i | ||||
\(656\) | −1.57382e7 | + | 8.36027e6i | −1.42789 | + | 0.758509i | ||||
\(657\) | 9.38955e6 | − | 1.07171e7i | 0.848656 | − | 0.968644i | ||||
\(658\) | −5.82818e6 | − | 1.03036e7i | −0.524769 | − | 0.927737i | ||||
\(659\) | 155358. | − | 269087.i | 0.0139354 | − | 0.0241368i | −0.858974 | − | 0.512020i | \(-0.828897\pi\) |
0.872909 | + | 0.487883i | \(0.162231\pi\) | |||||||
\(660\) | −6.87521e6 | − | 1.59047e7i | −0.614364 | − | 1.42124i | ||||
\(661\) | 1.04750e7 | + | 1.81433e7i | 0.932505 | + | 1.61515i | 0.779023 | + | 0.626995i | \(0.215715\pi\) |
0.153482 | + | 0.988151i | \(0.450951\pi\) | |||||||
\(662\) | 709668. | − | 1.20451e6i | 0.0629376 | − | 0.106823i | ||||
\(663\) | −1.17736e6 | + | 1.64384e6i | −0.104022 | + | 0.145236i | ||||
\(664\) | −8.41142e6 | − | 5.15791e6i | −0.740370 | − | 0.453997i | ||||
\(665\) | − | 1.03146e7i | − | 0.904481i | ||||||
\(666\) | 1.33728e7 | + | 1.19265e7i | 1.16825 | + | 1.04190i | ||||
\(667\) | 1.53625e7i | 1.33705i | ||||||||
\(668\) | −3.30989e6 | − | 5.97395e6i | −0.286994 | − | 0.517989i | ||||
\(669\) | −7.50888e6 | − | 737740.i | −0.648649 | − | 0.0637291i | ||||
\(670\) | −159047. | − | 93706.7i | −0.0136880 | − | 0.00806462i | ||||
\(671\) | −5.13780e6 | − | 8.89893e6i | −0.440525 | − | 0.763012i | ||||
\(672\) | −1.32855e6 | + | 9.28937e6i | −0.113490 | + | 0.793529i | ||||
\(673\) | 6.73764e6 | − | 1.16699e7i | 0.573417 | − | 0.993187i | −0.422795 | − | 0.906225i | \(-0.638951\pi\) |
0.996212 | − | 0.0869616i | \(-0.0277157\pi\) | |||||||
\(674\) | −1.06256e7 | + | 6.01028e6i | −0.900953 | + | 0.509619i | ||||
\(675\) | −8.92726e6 | − | 9.51779e6i | −0.754152 | − | 0.804038i | ||||
\(676\) | −5.99965e6 | + | 9.98069e6i | −0.504963 | + | 0.840028i | ||||
\(677\) | 3.38026e6 | + | 1.95159e6i | 0.283451 | + | 0.163650i | 0.634985 | − | 0.772525i | \(-0.281006\pi\) |
−0.351534 | + | 0.936175i | \(0.614340\pi\) | |||||||
\(678\) | −2.03144e6 | − | 1.48227e6i | −0.169719 | − | 0.123838i | ||||
\(679\) | 7.52747e6 | − | 4.34599e6i | 0.626577 | − | 0.361755i | ||||
\(680\) | 1.94704e7 | − | 1.05642e7i | 1.61474 | − | 0.876123i | ||||
\(681\) | 359438. | − | 3.65844e6i | 0.0297000 | − | 0.302293i | ||||
\(682\) | 9.51920e6 | + | 84001.1i | 0.783681 | + | 0.00691551i | ||||
\(683\) | −1.55558e7 | −1.27597 | −0.637985 | − | 0.770048i | \(-0.720232\pi\) | ||||
−0.637985 | + | 0.770048i | \(0.720232\pi\) | |||||||
\(684\) | 7.05013e6 | + | 6.40022e6i | 0.576178 | + | 0.523064i | ||||
\(685\) | −1.34038e7 | −1.09144 | ||||||||
\(686\) | 1.34113e7 | + | 118347.i | 1.08808 | + | 0.00960164i | ||||
\(687\) | 3.14526e6 | + | 2.25272e6i | 0.254252 | + | 0.182102i | ||||
\(688\) | −5.76871e6 | − | 3.60782e6i | −0.464631 | − | 0.290586i | ||||
\(689\) | −1.34248e6 | + | 775080.i | −0.107736 | + | 0.0622011i | ||||
\(690\) | 2.33075e6 | − | 2.17489e7i | 0.186369 | − | 1.73906i | ||||
\(691\) | −9.52435e6 | − | 5.49889e6i | −0.758823 | − | 0.438107i | 0.0700501 | − | 0.997543i | \(-0.477684\pi\) |
−0.828873 | + | 0.559437i | \(0.811017\pi\) | |||||||
\(692\) | 872493. | + | 524478.i | 0.0692622 | + | 0.0416353i | ||||
\(693\) | −2.10616e6 | + | 1.06150e7i | −0.166593 | + | 0.839628i | ||||
\(694\) | 7.91850e6 | − | 4.47905e6i | 0.624086 | − | 0.353010i | ||||
\(695\) | 4.93114e6 | − | 8.54099e6i | 0.387245 | − | 0.670728i | ||||
\(696\) | −1.75775e6 | + | 1.40560e7i | −0.137541 | + | 1.09986i | ||||
\(697\) | −1.31372e7 | − | 2.27543e7i | −1.02429 | − | 1.77412i | ||||
\(698\) | 2.27966e6 | + | 1.34312e6i | 0.177105 | + | 0.104346i | ||||
\(699\) | −2.19030e6 | − | 4.83102e6i | −0.169555 | − | 0.373978i | ||||
\(700\) | −1.00207e7 | + | 5.55202e6i | −0.772954 | + | 0.428258i | ||||
\(701\) | − | 1.51787e7i | − | 1.16665i | −0.812239 | − | 0.583324i | \(-0.801752\pi\) | ||
0.812239 | − | 0.583324i | \(-0.198248\pi\) | |||||||
\(702\) | 403503. | + | 1.79623e6i | 0.0309033 | + | 0.137569i | ||||
\(703\) | − | 1.59621e7i | − | 1.21815i | ||||||
\(704\) | 7.65497e6 | − | 1.17725e7i | 0.582119 | − | 0.895238i | ||||
\(705\) | 1.05062e7 | + | 2.31728e7i | 0.796106 | + | 1.75592i | ||||
\(706\) | −1.31872e6 | + | 2.23824e6i | −0.0995725 | + | 0.169003i | ||||
\(707\) | 6.46024e6 | + | 1.11895e7i | 0.486071 | + | 0.841900i | ||||
\(708\) | 1.17995e7 | + | 8.77028e6i | 0.884672 | + | 0.657552i | ||||
\(709\) | −6.34771e6 | + | 1.09946e7i | −0.474244 | + | 0.821414i | −0.999565 | − | 0.0294896i | \(-0.990612\pi\) |
0.525321 | + | 0.850904i | \(0.323945\pi\) | |||||||
\(710\) | −8.27255e6 | − | 1.46250e7i | −0.615876 | − | 1.08881i | ||||
\(711\) | 1.04548e7 | − | 3.55453e6i | 0.775609 | − | 0.263699i | ||||
\(712\) | −8.20427e6 | − | 217238.i | −0.606513 | − | 0.0160597i | ||||
\(713\) | 1.04073e7 | + | 6.00867e6i | 0.766682 | + | 0.442644i | ||||
\(714\) | −1.37565e7 | − | 1.47423e6i | −1.00986 | − | 0.108223i | ||||
\(715\) | −2.58447e6 | + | 1.49215e6i | −0.189063 | + | 0.109156i | ||||
\(716\) | −1.52104e7 | − | 268465.i | −1.10881 | − | 0.0195707i | ||||
\(717\) | 7.70297e6 | + | 5.51707e6i | 0.559578 | + | 0.400784i | ||||
\(718\) | −110561. | + | 1.25291e7i | −0.00800374 | + | 0.907001i | ||||
\(719\) | −1.30901e7 | −0.944324 | −0.472162 | − | 0.881512i | \(-0.656526\pi\) | ||||
−0.472162 | + | 0.881512i | \(0.656526\pi\) | |||||||
\(720\) | 4.62099e6 | − | 1.96326e7i | 0.332203 | − | 1.41139i | ||||
\(721\) | 6.94705e6 | 0.497693 | ||||||||
\(722\) | −48749.8 | + | 5.52443e6i | −0.00348040 | + | 0.394407i | ||||
\(723\) | 2.30660e6 | − | 2.34771e7i | 0.164107 | − | 1.67031i | ||||
\(724\) | −150232. | − | 2651.62i | −0.0106516 | − | 0.000188003i | ||||
\(725\) | −1.49766e7 | + | 8.64672e6i | −1.05820 | + | 0.610951i | ||||
\(726\) | 1.17456e6 | − | 1.60973e6i | 0.0827052 | − | 0.113347i | ||||
\(727\) | −6.63075e6 | − | 3.82826e6i | −0.465293 | − | 0.268637i | 0.248974 | − | 0.968510i | \(-0.419907\pi\) |
−0.714267 | + | 0.699873i | \(0.753240\pi\) | |||||||
\(728\) | 1.61564e6 | + | 42780.1i | 0.112984 | + | 0.00299167i | ||||
\(729\) | −1.19422e7 | − | 7.95463e6i | −0.832269 | − | 0.554372i | ||||
\(730\) | 1.32368e7 | + | 2.34012e7i | 0.919337 | + | 1.62529i | ||||
\(731\) | 5.01578e6 | − | 8.68758e6i | 0.347172 | − | 0.601319i | ||||
\(732\) | 1.37941e6 | − | 1.18812e7i | 0.0951514 | − | 0.819561i | ||||
\(733\) | 9.24808e6 | + | 1.60181e7i | 0.635757 | + | 1.10116i | 0.986354 | + | 0.164638i | \(0.0526455\pi\) |
−0.350597 | + | 0.936527i | \(0.614021\pi\) | |||||||
\(734\) | −8.44057e6 | + | 1.43260e7i | −0.578271 | + | 0.981491i | ||||
\(735\) | −7.55405e6 | − | 742178.i | −0.515776 | − | 0.0506745i | ||||
\(736\) | 1.57280e7 | − | 8.17774e6i | 1.07024 | − | 0.556466i | ||||
\(737\) | − | 172532.i | − | 0.0117004i | ||||||
\(738\) | −2.34233e7 | − | 4.86271e6i | −1.58310 | − | 0.328653i | ||||
\(739\) | 3.75594e6i | 0.252992i | 0.991967 | + | 0.126496i | \(0.0403732\pi\) | ||||
−0.991967 | + | 0.126496i | \(0.959627\pi\) | |||||||
\(740\) | −2.95745e7 | + | 1.63859e7i | −1.98535 | + | 1.09999i | ||||
\(741\) | 954935. | − | 1.33329e6i | 0.0638893 | − | 0.0892027i | ||||
\(742\) | −9.13868e6 | − | 5.38429e6i | −0.609359 | − | 0.359020i | ||||
\(743\) | 22492.7 | + | 38958.6i | 0.00149476 | + | 0.00258899i | 0.866772 | − | 0.498705i | \(-0.166191\pi\) |
−0.865277 | + | 0.501294i | \(0.832858\pi\) | |||||||
\(744\) | 8.83471e6 | + | 6.68843e6i | 0.585140 | + | 0.442988i | ||||
\(745\) | −2.84462e6 | + | 4.92702e6i | −0.187773 | + | 0.325232i | ||||
\(746\) | 8.17760e6 | − | 4.62561e6i | 0.537996 | − | 0.304314i | ||||
\(747\) | −4.26359e6 | − | 1.25403e7i | −0.279559 | − | 0.822258i | ||||
\(748\) | 1.77444e7 | + | 1.06666e7i | 1.15960 | + | 0.697066i | ||||
\(749\) | 1.29632e7 | + | 7.48433e6i | 0.844324 | + | 0.487471i | ||||
\(750\) | 2.09078e6 | − | 925772.i | 0.135724 | − | 0.0600967i | ||||
\(751\) | 2.26479e7 | − | 1.30757e7i | 1.46530 | − | 0.845993i | 0.466054 | − | 0.884756i | \(-0.345675\pi\) |
0.999248 | + | 0.0387633i | \(0.0123418\pi\) | |||||||
\(752\) | −1.09338e7 | + | 1.74825e7i | −0.705059 | + | 1.12735i | ||||
\(753\) | −1.60873e7 | + | 7.29371e6i | −1.03394 | + | 0.468771i | ||||
\(754\) | 2.43966e6 | + | 21528.5i | 0.156279 | + | 0.00137907i | ||||
\(755\) | 2.91248e6 | 0.185950 | ||||||||
\(756\) | −9.33848e6 | + | 8.45429e6i | −0.594254 | + | 0.537988i | ||||
\(757\) | −8.60555e6 | −0.545807 | −0.272903 | − | 0.962041i | \(-0.587984\pi\) | ||||
−0.272903 | + | 0.962041i | \(0.587984\pi\) | |||||||
\(758\) | −2.65382e7 | − | 234183.i | −1.67764 | − | 0.0148041i | ||||
\(759\) | 1.86193e7 | − | 8.44168e6i | 1.17316 | − | 0.531893i | ||||
\(760\) | −1.57921e7 | + | 8.56845e6i | −0.991761 | + | 0.538107i | ||||
\(761\) | 2.15910e7 | − | 1.24656e7i | 1.35148 | − | 0.780280i | 0.363027 | − | 0.931779i | \(-0.381743\pi\) |
0.988458 | + | 0.151498i | \(0.0484098\pi\) | |||||||
\(762\) | −6.01025e6 | + | 2.66127e6i | −0.374978 | + | 0.166035i | ||||
\(763\) | −1.24067e7 | − | 7.16302e6i | −0.771516 | − | 0.445435i | ||||
\(764\) | −9.98326e6 | + | 1.66076e7i | −0.618784 | + | 1.02937i | ||||
\(765\) | 2.91679e7 | + | 5.78730e6i | 1.80199 | + | 0.357538i | ||||
\(766\) | 2.60782e7 | − | 1.47510e7i | 1.60585 | − | 0.908341i | ||||
\(767\) | 1.26608e6 | − | 2.19291e6i | 0.0777090 | − | 0.134596i | ||||
\(768\) | 1.53261e7 | − | 5.68269e6i | 0.937622 | − | 0.347657i | ||||
\(769\) | −1.62777e7 | − | 2.81939e7i | −0.992610 | − | 1.71925i | −0.601398 | − | 0.798950i | \(-0.705389\pi\) |
−0.391212 | − | 0.920300i | \(-0.627944\pi\) | |||||||
\(770\) | −1.75934e7 | − | 1.03656e7i | −1.06935 | − | 0.630039i | ||||
\(771\) | −9.73684e6 | + | 1.35946e7i | −0.589905 | + | 0.823629i | ||||
\(772\) | −1.44832e6 | − | 2.61405e6i | −0.0874625 | − | 0.157859i | ||||
\(773\) | 1.64551e6i | 0.0990493i | 0.998773 | + | 0.0495246i | \(0.0157706\pi\) | ||||
−0.998773 | + | 0.0495246i | \(0.984229\pi\) | |||||||
\(774\) | −2.86366e6 | − | 8.67315e6i | −0.171818 | − | 0.520385i | ||||
\(775\) | 1.35278e7i | 0.809044i | ||||||||
\(776\) | −1.29070e7 | − | 7.91464e6i | −0.769436 | − | 0.471820i | ||||
\(777\) | 2.10157e7 | + | 2.06477e6i | 1.24879 | + | 0.122693i | ||||
\(778\) | 5.28989e6 | − | 8.97845e6i | 0.313327 | − | 0.531805i | ||||
\(779\) | 1.06554e7 | + | 1.84557e7i | 0.629108 | + | 1.08965i | ||||
\(780\) | −3.45059e6 | − | 400615.i | −0.203075 | − | 0.0235771i | ||||
\(781\) | 7.85208e6 | − | 1.36002e7i | 0.460635 | − | 0.797843i | ||||
\(782\) | 1.28677e7 | + | 2.27488e7i | 0.752464 | + | 1.33028i | ||||
\(783\) | −1.38695e7 | + | 1.30090e7i | −0.808457 | + | 0.758297i | ||||
\(784\) | −2.88585e6 | − | 5.43260e6i | −0.167681 | − | 0.315659i | ||||
\(785\) | −1.18496e7 | − | 6.84139e6i | −0.686326 | − | 0.396251i | ||||
\(786\) | −6.96140e6 | + | 9.54057e6i | −0.401921 | + | 0.550831i | ||||
\(787\) | 1.68858e7 | − | 9.74900e6i | 0.971816 | − | 0.561078i | 0.0720264 | − | 0.997403i | \(-0.477053\pi\) |
0.899789 | + | 0.436325i | \(0.143720\pi\) | |||||||
\(788\) | 263395. | − | 1.49231e7i | 0.0151109 | − | 0.856136i | ||||
\(789\) | 1.04100e6 | − | 1.05956e7i | 0.0595333 | − | 0.605943i | ||||
\(790\) | −183859. | + | 2.08354e7i | −0.0104814 | + | 1.18777i | ||||
\(791\) | −2.96359e6 | −0.168414 | ||||||||
\(792\) | 1.80016e7 | − | 5.59336e6i | 1.01976 | − | 0.316855i | ||||
\(793\) | −2.06007e6 | −0.116332 | ||||||||
\(794\) | −3779.24 | + | 428272.i | −0.000212742 | + | 0.0241084i | ||||
\(795\) | 1.85342e7 | + | 1.32747e7i | 1.04006 | + | 0.744915i | ||||
\(796\) | −353448. | + | 2.00252e7i | −0.0197716 | + | 1.12020i | ||||
\(797\) | −318483. | + | 183876.i | −0.0177599 | + | 0.0102537i | −0.508854 | − | 0.860853i | \(-0.669931\pi\) |
0.491094 | + | 0.871107i | \(0.336597\pi\) | |||||||
\(798\) | 1.11576e7 | + | 1.19572e6i | 0.620247 | + | 0.0664696i | ||||
\(799\) | −2.63283e7 | − | 1.52007e7i | −1.45900 | − | 0.842356i | ||||
\(800\) | 1.68247e7 | + | 1.07300e7i | 0.929441 | + | 0.592757i | ||||
\(801\) | −8.28670e6 | − | 7.26021e6i | −0.456353 | − | 0.399823i | ||||
\(802\) | 9.40521e6 | + | 1.66274e7i | 0.516336 | + | 0.912829i | ||||
\(803\) | −1.25640e7 | + | 2.17614e7i | −0.687604 | + | 1.19096i | ||||
\(804\) | 119803. | − | 161183.i | 0.00653623 | − | 0.00879385i | ||||
\(805\) | −1.28889e7 | − | 2.23242e7i | −0.701011 | − | 1.21419i | ||||
\(806\) | 968796. | − | 1.64432e6i | 0.0525285 | − | 0.0891558i | ||||
\(807\) | 5.99806e6 | + | 1.32296e7i | 0.324211 | + | 0.715091i | ||||
\(808\) | 1.17650e7 | − | 1.91861e7i | 0.633961 | − | 1.03385i | ||||
\(809\) | 5.76347e6i | 0.309609i | 0.987945 | + | 0.154804i | \(0.0494747\pi\) | ||||
−0.987945 | + | 0.154804i | \(0.950525\pi\) | |||||||
\(810\) | 2.16089e7 | − | 1.63127e7i | 1.15723 | − | 0.873604i | ||||
\(811\) | − | 819789.i | − | 0.0437673i | −0.999761 | − | 0.0218837i | \(-0.993034\pi\) | ||
0.999761 | − | 0.0218837i | \(-0.00696634\pi\) | |||||||
\(812\) | 8.09052e6 | + | 1.46024e7i | 0.430612 | + | 0.777203i | ||||
\(813\) | 1.13535e7 | + | 2.50417e7i | 0.602426 | + | 1.32873i | ||||
\(814\) | −2.72261e7 | − | 1.60410e7i | −1.44020 | − | 0.848534i | ||||
\(815\) | 1.31967e7 | + | 2.28573e7i | 0.695938 | + | 1.20540i | ||||
\(816\) | 9.17051e6 | + | 2.22864e7i | 0.482135 | + | 1.17170i | ||||
\(817\) | −4.06821e6 | + | 7.04635e6i | −0.213230 | + | 0.369325i | ||||
\(818\) | 1.72339e7 | − | 9.74827e6i | 0.900536 | − | 0.509383i | ||||
\(819\) | 1.63188e6 | + | 1.42973e6i | 0.0850115 | + | 0.0744809i | ||||
\(820\) | 2.32563e7 | − | 3.86878e7i | 1.20783 | − | 2.00928i | ||||
\(821\) | −631565. | − | 364634.i | −0.0327009 | − | 0.0188799i | 0.483560 | − | 0.875311i | \(-0.339343\pi\) |
−0.516261 | + | 0.856431i | \(0.672677\pi\) | |||||||
\(822\) | 1.55383e6 | − | 1.44993e7i | 0.0802094 | − | 0.748457i | ||||
\(823\) | −1.52844e7 | + | 8.82447e6i | −0.786592 | + | 0.454139i | −0.838762 | − | 0.544499i | \(-0.816720\pi\) |
0.0521692 | + | 0.998638i | \(0.483386\pi\) | |||||||
\(824\) | −5.77097e6 | − | 1.06362e7i | −0.296095 | − | 0.545720i | ||||
\(825\) | 1.87093e7 | + | 1.34001e7i | 0.957025 | + | 0.685447i | ||||
\(826\) | 1.73254e7 | + | 152887.i | 0.883557 | + | 0.00779685i | ||||
\(827\) | 2.90788e7 | 1.47847 | 0.739236 | − | 0.673447i | \(-0.235187\pi\) | ||||
0.739236 | + | 0.673447i | \(0.235187\pi\) | |||||||
\(828\) | 2.32563e7 | + | 5.04249e6i | 1.17887 | + | 0.255605i | ||||
\(829\) | −1.37334e7 | −0.694051 | −0.347026 | − | 0.937856i | \(-0.612808\pi\) | ||||
−0.347026 | + | 0.937856i | \(0.612808\pi\) | |||||||
\(830\) | 2.49916e7 | + | 220536.i | 1.25921 | + | 0.0111118i | ||||
\(831\) | 943022. | − | 9.59829e6i | 0.0473717 | − | 0.482160i | ||||
\(832\) | −1.27663e6 | − | 2.50916e6i | −0.0639378 | − | 0.125667i | ||||
\(833\) | 7.85448e6 | − | 4.53478e6i | 0.392197 | − | 0.226435i | ||||
\(834\) | 8.66740e6 | + | 6.32428e6i | 0.431493 | + | 0.314844i | ||||
\(835\) | 1.49815e7 | + | 8.64958e6i | 0.743600 | + | 0.429318i | ||||
\(836\) | −1.43922e7 | − | 8.65153e6i | −0.712216 | − | 0.428131i | ||||
\(837\) | 3.38820e6 | + | 1.44840e7i | 0.167169 | + | 0.714620i | ||||
\(838\) | −2.61775e7 | + | 1.48072e7i | −1.28771 | + | 0.728387i | ||||
\(839\) | −5.44148e6 | + | 9.42491e6i | −0.266877 | + | 0.462245i | −0.968054 | − | 0.250743i | \(-0.919325\pi\) |
0.701176 | + | 0.712988i | \(0.252659\pi\) | |||||||
\(840\) | −9.23842e6 | − | 2.19003e7i | −0.451751 | − | 1.07091i | ||||
\(841\) | 2.34460e6 | + | 4.06097e6i | 0.114309 | + | 0.197989i | ||||
\(842\) | −2.52487e7 | − | 1.48759e7i | −1.22732 | − | 0.723108i | ||||
\(843\) | −2.83368e7 | − | 2.78406e6i | −1.37335 | − | 0.134930i | ||||
\(844\) | −2.44412e7 | + | 1.35417e7i | −1.18104 | + | 0.654362i | ||||
\(845\) | − | 2.94969e7i | − | 1.42113i | ||||||
\(846\) | −2.62846e7 | + | 8.67852e6i | −1.26263 | + | 0.416888i | ||||
\(847\) | − | 2.34837e6i | − | 0.112475i | ||||||
\(848\) | −652006. | + | 1.84645e7i | −0.0311359 | + | 0.881755i | ||||
\(849\) | −1.71430e7 | + | 2.39351e7i | −0.816238 | + | 1.13964i | ||||
\(850\) | −1.49347e7 | + | 2.53485e7i | −0.709006 | + | 1.20339i | ||||
\(851\) | −1.99458e7 | − | 3.45471e7i | −0.944119 | − | 1.63526i | ||||
\(852\) | 1.67793e7 | − | 7.25326e6i | 0.791908 | − | 0.342322i | ||||
\(853\) | 1.39626e6 | − | 2.41839e6i | 0.0657043 | − | 0.113803i | −0.831302 | − | 0.555821i | \(-0.812404\pi\) |
0.897006 | + | 0.442018i | \(0.145737\pi\) | |||||||
\(854\) | −6.93996e6 | − | 1.22691e7i | −0.325621 | − | 0.575664i | ||||
\(855\) | −2.36576e7 | − | 4.69398e6i | −1.10676 | − | 0.219597i | ||||
\(856\) | 690156. | − | 2.60646e7i | 0.0321931 | − | 1.21581i | ||||
\(857\) | −2.22286e7 | − | 1.28337e7i | −1.03386 | − | 0.596898i | −0.115770 | − | 0.993276i | \(-0.536934\pi\) |
−0.918087 | + | 0.396378i | \(0.870267\pi\) | |||||||
\(858\) | −1.31449e6 | − | 2.96868e6i | −0.0609594 | − | 0.137672i | ||||
\(859\) | −4.15701e6 | + | 2.40005e6i | −0.192220 | + | 0.110978i | −0.593021 | − | 0.805187i | \(-0.702065\pi\) |
0.400802 | + | 0.916165i | \(0.368732\pi\) | |||||||
\(860\) | 1.72316e7 | + | 304141.i | 0.794475 | + | 0.0140226i | ||||
\(861\) | −2.56770e7 | + | 1.16415e7i | −1.18042 | + | 0.535183i | ||||
\(862\) | 285644. | − | 3.23698e7i | 0.0130935 | − | 1.48379i | ||||
\(863\) | 2.59610e7 | 1.18658 | 0.593288 | − | 0.804991i | \(-0.297830\pi\) | ||||
0.593288 | + | 0.804991i | \(0.297830\pi\) | |||||||
\(864\) | 2.07015e7 | + | 7.27457e6i | 0.943445 | + | 0.331530i | ||||
\(865\) | −2.57856e6 | −0.117175 | ||||||||
\(866\) | 308186. | − | 3.49243e7i | 0.0139643 | − | 1.58246i | ||||
\(867\) | −1.22023e7 | + | 5.53232e6i | −0.551308 | + | 0.249954i | ||||
\(868\) | 1.30568e7 | + | 230454.i | 0.588215 | + | 0.0103821i | ||||
\(869\) | −1.68651e7 | + | 9.73705e6i | −0.757597 | + | 0.437399i | ||||
\(870\) | −1.45271e7 | − | 3.28084e7i | −0.650702 | − | 1.46956i | ||||
\(871\) | −29955.3 | − | 17294.7i | −0.00133792 | − | 0.000772446i | ||||
\(872\) | −660526. | + | 2.49456e7i | −0.0294170 | + | 1.11097i | ||||
\(873\) | −6.54234e6 | − | 1.92427e7i | −0.290534 | − | 0.854538i | ||||
\(874\) | −1.04368e7 | − | 1.84512e7i | −0.462157 | − | 0.817045i | ||||
\(875\) | 1.34735e6 | − | 2.33369e6i | 0.0594924 | − | 0.103044i | ||||
\(876\) | −2.68483e7 | + | 1.16058e7i | −1.18211 | + | 0.510994i | ||||
\(877\) | 1.75890e7 | + | 3.04651e7i | 0.772222 | + | 1.33753i | 0.936343 | + | 0.351088i | \(0.114188\pi\) |
−0.164120 | + | 0.986440i | \(0.552478\pi\) | |||||||
\(878\) | −1.66565e7 | + | 2.82708e7i | −0.729200 | + | 1.23766i | ||||
\(879\) | −1.01158e7 | + | 1.41237e7i | −0.441598 | + | 0.616562i | ||||
\(880\) | −1.25521e6 | + | 3.55470e7i | −0.0546399 | + | 1.54738i | ||||
\(881\) | − | 1.34812e7i | − | 0.585177i | −0.956238 | − | 0.292588i | \(-0.905483\pi\) | ||
0.956238 | − | 0.292588i | \(-0.0945166\pi\) | |||||||
\(882\) | 1.67854e6 | − | 8.08540e6i | 0.0726541 | − | 0.349969i | ||||
\(883\) | 1.27557e7i | 0.550557i | 0.961364 | + | 0.275279i | \(0.0887701\pi\) | ||||
−0.961364 | + | 0.275279i | \(0.911230\pi\) | |||||||
\(884\) | 3.63068e6 | − | 2.01159e6i | 0.156263 | − | 0.0865784i | ||||
\(885\) | −3.70611e7 | − | 3.64122e6i | −1.59060 | − | 0.156275i | ||||
\(886\) | 2.03708e7 | + | 1.20020e7i | 0.871814 | + | 0.513652i | ||||
\(887\) | −9.47111e6 | − | 1.64044e7i | −0.404196 | − | 0.700088i | 0.590032 | − | 0.807380i | \(-0.299115\pi\) |
−0.994228 | + | 0.107292i | \(0.965782\pi\) | |||||||
\(888\) | −1.42966e7 | − | 3.38911e7i | −0.608417 | − | 1.44229i | ||||
\(889\) | −3.87317e6 | + | 6.70852e6i | −0.164366 | + | 0.284690i | ||||
\(890\) | 1.80943e7 | − | 1.02350e7i | 0.765716 | − | 0.433123i | ||||
\(891\) | 2.33881e7 | + | 9.66135e6i | 0.986961 | + | 0.407703i | ||||
\(892\) | 1.32746e7 | + | 7.97973e6i | 0.558613 | + | 0.335797i | ||||
\(893\) | 2.13545e7 | + | 1.23290e7i | 0.896107 | + | 0.517368i | ||||
\(894\) | −4.99994e6 | − | 3.64827e6i | −0.209229 | − | 0.152666i | ||||
\(895\) | 3.33709e7 | − | 1.92667e7i | 1.39255 | − | 0.803988i | ||||
\(896\) | 1.06431e7 | − | 1.60561e7i | 0.442891 | − | 0.668144i | ||||
\(897\) | 400750. | − | 4.07892e6i | 0.0166300 | − | 0.169264i | ||||
\(898\) | 5.49223e6 | + | 48465.6i | 0.227278 | + | 0.00200559i | ||||
\(899\) | 1.97130e7 | 0.813491 | ||||||||
\(900\) | 8.17386e6 | + | 2.55101e7i | 0.336373 | + | 1.04980i | ||||
\(901\) | −2.72403e7 | −1.11789 | ||||||||
\(902\) | 4.21873e7 | + | 372277.i | 1.72650 | + | 0.0152353i | ||||
\(903\) | −8.75096e6 | − | 6.26767e6i | −0.357138 | − | 0.255792i | ||||
\(904\) | 2.46188e6 | + | 4.53739e6i | 0.100195 | + | 0.184665i | ||||
\(905\) | 329602. | − | 190296.i | 0.0133773 | − | 0.00772339i | ||||
\(906\) | −337629. | + | 3.15052e6i | −0.0136653 | + | 0.127515i | ||||
\(907\) | −3.65444e7 | − | 2.10989e7i | −1.47504 | − | 0.851613i | −0.475434 | − | 0.879752i | \(-0.657709\pi\) |
−0.999604 | + | 0.0281382i | \(0.991042\pi\) | |||||||
\(908\) | −3.88785e6 | + | 6.46761e6i | −0.156493 | + | 0.260333i | ||||
\(909\) | 2.86040e7 | − | 9.72508e6i | 1.14820 | − | 0.390376i | ||||
\(910\) | −3.56327e6 | + | 2.01554e6i | −0.142641 | + | 0.0806841i | ||||
\(911\) | −1.29463e7 | + | 2.24236e7i | −0.516831 | + | 0.895177i | 0.482978 | + | 0.875632i | \(0.339555\pi\) |
−0.999809 | + | 0.0195449i | \(0.993778\pi\) | |||||||
\(912\) | −7.43805e6 | − | 1.80761e7i | −0.296123 | − | 0.719645i | ||||
\(913\) | 1.16794e7 | + | 2.02293e7i | 0.463706 | + | 0.803163i | ||||
\(914\) | −1.01190e7 | − | 5.96188e6i | −0.400657 | − | 0.236057i | ||||
\(915\) | 1.25103e7 | + | 2.75932e7i | 0.493987 | + | 1.08956i | ||||
\(916\) | −3.84892e6 | − | 6.94683e6i | −0.151565 | − | 0.273557i | ||||
\(917\) | 1.39184e7i | 0.546594i | ||||||||
\(918\) | −9.64158e6 | + | 3.08809e7i | −0.377608 | + | 1.20944i | ||||
\(919\) | 3.59722e7i | 1.40501i | 0.711681 | + | 0.702503i | \(0.247934\pi\) | ||||
−0.711681 | + | 0.702503i | \(0.752066\pi\) | |||||||
\(920\) | −2.34724e7 | + | 3.82783e7i | −0.914297 | + | 1.49102i | ||||
\(921\) | −1.05818e7 | − | 2.33397e7i | −0.411066 | − | 0.906664i | ||||
\(922\) | −8.38118e6 | + | 1.42253e7i | −0.324697 | + | 0.551103i | ||||
\(923\) | −1.57420e6 | − | 2.72659e6i | −0.0608212 | − | 0.105345i | ||||
\(924\) | 1.32523e7 | − | 1.78296e7i | 0.510635 | − | 0.687009i | ||||
\(925\) | 2.24527e7 | − | 3.88892e7i | 0.862809 | − | 1.49443i | ||||
\(926\) | −1.61758e7 | − | 2.85971e7i | −0.619923 | − | 1.09596i | ||||
\(927\) | 3.16146e6 | − | 1.59337e7i | 0.120834 | − | 0.609000i | ||||
\(928\) | 1.56360e7 | − | 2.45173e7i | 0.596015 | − | 0.934550i | ||||
\(929\) | 3.28939e7 | + | 1.89913e7i | 1.25048 | + | 0.721964i | 0.971204 | − | 0.238248i | \(-0.0765731\pi\) |
0.279273 | + | 0.960212i | \(0.409906\pi\) | |||||||
\(930\) | −2.79079e7 | − | 2.99078e6i | −1.05808 | − | 0.113391i | ||||
\(931\) | −6.37063e6 | + | 3.67809e6i | −0.240884 | + | 0.139075i | ||||
\(932\) | −192159. | + | 1.08871e7i | −0.00724637 | + | 0.410556i | ||||
\(933\) | −9.20670e6 | − | 6.59408e6i | −0.346258 | − | 0.247999i | ||||
\(934\) | −415285. | + | 4.70611e7i | −0.0155768 | + | 1.76520i | ||||
\(935\) | −5.24417e7 | −1.96177 | ||||||||
\(936\) | 833367. | − | 3.68617e6i | 0.0310919 | − | 0.137526i | ||||
\(937\) | −1.87349e7 | −0.697111 | −0.348555 | − | 0.937288i | \(-0.613328\pi\) | ||||
−0.348555 | + | 0.937288i | \(0.613328\pi\) | |||||||
\(938\) | 2088.45 | − | 236667.i | 7.75026e−5 | − | 0.00878276i | ||||
\(939\) | 2.14139e6 | − | 2.17955e7i | 0.0792558 | − | 0.806683i | ||||
\(940\) | 921722. | − | 5.22217e7i | 0.0340236 | − | 1.92767i | ||||
\(941\) | 1.73547e7 | − | 1.00197e7i | 0.638915 | − | 0.368878i | −0.145281 | − | 0.989390i | \(-0.546409\pi\) |
0.784196 | + | 0.620513i | \(0.213075\pi\) | |||||||
\(942\) | 8.77420e6 | − | 1.20250e7i | 0.322166 | − | 0.441528i | ||||
\(943\) | 4.61233e7 | + | 2.66293e7i | 1.68905 | + | 0.975171i | ||||
\(944\) | −1.41583e7 | − | 2.66530e7i | −0.517109 | − | 0.973456i | ||||
\(945\) | 9.24029e6 | − | 3.05403e7i | 0.336594 | − | 1.11248i | ||||
\(946\) | 7.93044e6 | + | 1.40202e7i | 0.288117 | + | 0.509361i | ||||
\(947\) | 1.05215e7 | − | 1.82237e7i | 0.381243 | − | 0.660332i | −0.609997 | − | 0.792404i | \(-0.708829\pi\) |
0.991240 | + | 0.132071i | \(0.0421628\pi\) | |||||||
\(948\) | −2.25169e7 | − | 2.61423e6i | −0.813745 | − | 0.0944762i | ||||
\(949\) | 2.51885e6 | + | 4.36277e6i | 0.0907896 | + | 0.157252i | ||||
\(950\) | 1.21133e7 | − | 2.05597e7i | 0.435465 | − | 0.739108i | ||||
\(951\) | 2.18012e7 | + | 2.14194e6i | 0.781678 | + | 0.0767991i | ||||
\(952\) | 2.42115e7 | + | 1.48466e7i | 0.865823 | + | 0.530925i | ||||
\(953\) | − | 3.31281e6i | − | 0.118158i | −0.998253 | − | 0.0590792i | \(-0.981184\pi\) | ||
0.998253 | − | 0.0590792i | \(-0.0188164\pi\) | |||||||
\(954\) | −1.65082e7 | + | 1.85101e7i | −0.587258 | + | 0.658474i | ||||
\(955\) | − | 4.90820e7i | − | 1.74146i | ||||||
\(956\) | −9.42628e6 | − | 1.70133e7i | −0.333577 | − | 0.602065i | ||||
\(957\) | 1.95269e7 | − | 2.72636e7i | 0.689214 | − | 0.962285i | ||||
\(958\) | −558586. | − | 329106.i | −0.0196642 | − | 0.0115857i | ||||
\(959\) | −8.59256e6 | − | 1.48828e7i | −0.301701 | − | 0.522561i | ||||
\(960\) | −2.58558e7 | + | 3.23372e7i | −0.905483 | + | 1.13246i | ||||
\(961\) | −6.60435e6 | + | 1.14391e7i | −0.230686 | + | 0.399560i | ||||
\(962\) | −5.51423e6 | + | 3.11909e6i | −0.192109 | + | 0.108665i | ||||
\(963\) | 2.30653e7 | − | 2.63265e7i | 0.801482 | − | 0.914801i | ||||
\(964\) | −2.49492e7 | + | 4.15042e7i | −0.864698 | + | 1.43846i | ||||
\(965\) | 6.55552e6 | + | 3.78483e6i | 0.226615 | + | 0.130836i | ||||
\(966\) | 2.56428e7 | − | 1.13543e7i | 0.884145 | − | 0.391488i | ||||
\(967\) | −1.14131e7 | + | 6.58936e6i | −0.392498 | + | 0.226609i | −0.683242 | − | 0.730192i | \(-0.739431\pi\) |
0.290744 | + | 0.956801i | \(0.406097\pi\) | |||||||
\(968\) | −3.59545e6 | + | 1.95081e6i | −0.123329 | + | 0.0669155i | ||||
\(969\) | 2.62471e7 | − | 1.19000e7i | 0.897992 | − | 0.407135i | ||||
\(970\) | 3.83488e7 | + | 338405.i | 1.30865 | + | 0.0115480i | ||||
\(971\) | 5.16587e6 | 0.175831 | 0.0879155 | − | 0.996128i | \(-0.471979\pi\) | ||||
0.0879155 | + | 0.996128i | \(0.471979\pi\) | |||||||
\(972\) | 1.51410e7 | + | 2.52661e7i | 0.514029 | + | 0.857773i | ||||
\(973\) | 1.26445e7 | 0.428174 | ||||||||
\(974\) | 1.54153e7 | + | 136031.i | 0.520660 | + | 0.00459451i | ||||
\(975\) | 4.20199e6 | − | 1.90511e6i | 0.141561 | − | 0.0641815i | ||||
\(976\) | −1.30195e7 | + | 2.08175e7i | −0.437491 | + | 0.699525i | ||||
\(977\) | 1.37911e6 | − | 796228.i | 0.0462234 | − | 0.0266871i | −0.476710 | − | 0.879060i | \(-0.658171\pi\) |
0.522934 | + | 0.852373i | \(0.324838\pi\) | |||||||
\(978\) | −2.62552e7 | + | 1.16255e7i | −0.877746 | + | 0.388655i | ||||
\(979\) | 1.68264e7 | + | 9.71474e6i | 0.561093 | + | 0.323947i | ||||
\(980\) | 1.33545e7 | + | 8.02773e6i | 0.444183 | + | 0.267010i | ||||
\(981\) | −2.20751e7 | + | 2.51962e7i | −0.732369 | + | 0.835917i | ||||
\(982\) | −2.90354e7 | + | 1.64237e7i | −0.960836 | + | 0.543491i | ||||
\(983\) | −7.65007e6 | + | 1.32503e7i | −0.252512 | + | 0.437363i | −0.964217 | − | 0.265115i | \(-0.914590\pi\) |
0.711705 | + | 0.702478i | \(0.247923\pi\) | |||||||
\(984\) | 3.91538e7 | + | 2.96419e7i | 1.28910 | + | 0.975928i | ||||
\(985\) | 1.89028e7 | + | 3.27406e7i | 0.620776 | + | 1.07522i | ||||
\(986\) | 3.69383e7 | + | 2.17632e7i | 1.21000 | + | 0.712903i | ||||
\(987\) | −1.89946e7 | + | 2.65204e7i | −0.620638 | + | 0.866538i | ||||
\(988\) | −2.94478e6 | + | 1.63157e6i | −0.0959756 | + | 0.0531757i | ||||
\(989\) | 2.03341e7i | 0.661049i | ||||||||
\(990\) | −3.17808e7 | + | 3.56349e7i | −1.03057 | + | 1.15555i | ||||
\(991\) | 4.54893e7i | 1.47138i | 0.677317 | + | 0.735691i | \(0.263142\pi\) | ||||
−0.677317 | + | 0.735691i | \(0.736858\pi\) | |||||||
\(992\) | −1.04935e7 | − | 2.01819e7i | −0.338566 | − | 0.651153i | ||||
\(993\) | −3.83404e6 | − | 376691.i | −0.123391 | − | 0.0121230i | ||||
\(994\) | 1.09356e7 | − | 1.85608e7i | 0.351055 | − | 0.595840i | ||||
\(995\) | −2.53655e7 | − | 4.39344e7i | −0.812244 | − | 1.40685i | ||||
\(996\) | −3.13571e6 | + | 2.70086e7i | −0.100158 | + | 0.862688i | ||||
\(997\) | −1.16700e7 | + | 2.02131e7i | −0.371821 | + | 0.644013i | −0.989846 | − | 0.142146i | \(-0.954600\pi\) |
0.618025 | + | 0.786159i | \(0.287933\pi\) | |||||||
\(998\) | −2.03991e7 | − | 3.60635e7i | −0.648314 | − | 1.14615i | ||||
\(999\) | 1.42995e7 | − | 4.72618e7i | 0.453323 | − | 1.49829i |
(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 | 36.6.h.a.11.14 | ✓ | 56 | |
3.2 | odd | 2 | 108.6.h.a.35.15 | 56 | |||
4.3 | odd | 2 | inner | 36.6.h.a.11.24 | yes | 56 | |
9.4 | even | 3 | 108.6.h.a.71.5 | 56 | |||
9.5 | odd | 6 | inner | 36.6.h.a.23.24 | yes | 56 | |
12.11 | even | 2 | 108.6.h.a.35.5 | 56 | |||
36.23 | even | 6 | inner | 36.6.h.a.23.14 | yes | 56 | |
36.31 | odd | 6 | 108.6.h.a.71.15 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.6.h.a.11.14 | ✓ | 56 | 1.1 | even | 1 | trivial | |
36.6.h.a.11.24 | yes | 56 | 4.3 | odd | 2 | inner | |
36.6.h.a.23.14 | yes | 56 | 36.23 | even | 6 | inner | |
36.6.h.a.23.24 | yes | 56 | 9.5 | odd | 6 | inner | |
108.6.h.a.35.5 | 56 | 12.11 | even | 2 | |||
108.6.h.a.35.15 | 56 | 3.2 | odd | 2 | |||
108.6.h.a.71.5 | 56 | 9.4 | even | 3 | |||
108.6.h.a.71.15 | 56 | 36.31 | odd | 6 |