Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [78,3,Mod(7,78)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(78, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("78.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 78 = 2 \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 78.l (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.12534606201\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - 2x^{7} + 2x^{6} + 82x^{5} + 5053x^{4} - 6736x^{3} + 6728x^{2} + 275384x + 5635876 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.2 | ||
Root | \(5.41254 - 5.41254i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 78.37 |
Dual form | 78.3.l.c.19.2 |
$q$-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 \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(67\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.366025 | + | 1.36603i | −0.183013 | + | 0.683013i | ||||
\(3\) | −0.866025 | − | 1.50000i | −0.288675 | − | 0.500000i | ||||
\(4\) | −1.73205 | − | 1.00000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 4.41254 | + | 4.41254i | 0.882508 | + | 0.882508i | 0.993789 | − | 0.111281i | \(-0.0354953\pi\) |
−0.111281 | + | 0.993789i | \(0.535495\pi\) | |||||||
\(6\) | 2.36603 | − | 0.633975i | 0.394338 | − | 0.105662i | ||||
\(7\) | 2.11510 | + | 7.89367i | 0.302157 | + | 1.12767i | 0.935365 | + | 0.353685i | \(0.115071\pi\) |
−0.633207 | + | 0.773982i | \(0.718262\pi\) | |||||||
\(8\) | 2.00000 | − | 2.00000i | 0.250000 | − | 0.250000i | ||||
\(9\) | −1.50000 | + | 2.59808i | −0.166667 | + | 0.288675i | ||||
\(10\) | −7.64274 | + | 4.41254i | −0.764274 | + | 0.441254i | ||||
\(11\) | 18.5194 | + | 4.96225i | 1.68358 | + | 0.451114i | 0.968721 | − | 0.248154i | \(-0.0798238\pi\) |
0.714860 | + | 0.699268i | \(0.246490\pi\) | |||||||
\(12\) | 3.46410i | 0.288675i | ||||||||
\(13\) | −12.9213 | − | 1.42820i | −0.993947 | − | 0.109862i | ||||
\(14\) | −11.5571 | −0.825509 | ||||||||
\(15\) | 2.79744 | − | 10.4402i | 0.186496 | − | 0.696012i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −19.9936 | − | 11.5433i | −1.17609 | − | 0.679018i | −0.220986 | − | 0.975277i | \(-0.570927\pi\) |
−0.955108 | + | 0.296259i | \(0.904261\pi\) | |||||||
\(18\) | −3.00000 | − | 3.00000i | −0.166667 | − | 0.166667i | ||||
\(19\) | 0.417587 | − | 0.111892i | 0.0219783 | − | 0.00588906i | −0.247813 | − | 0.968808i | \(-0.579712\pi\) |
0.269791 | + | 0.962919i | \(0.413045\pi\) | |||||||
\(20\) | −3.23020 | − | 12.0553i | −0.161510 | − | 0.602764i | ||||
\(21\) | 10.0088 | − | 10.0088i | 0.476608 | − | 0.476608i | ||||
\(22\) | −13.5571 | + | 23.4816i | −0.616233 | + | 1.06735i | ||||
\(23\) | 36.4688 | − | 21.0553i | 1.58560 | − | 0.915447i | 0.591581 | − | 0.806245i | \(-0.298504\pi\) |
0.994020 | − | 0.109202i | \(-0.0348295\pi\) | |||||||
\(24\) | −4.73205 | − | 1.26795i | −0.197169 | − | 0.0528312i | ||||
\(25\) | 13.9410i | 0.557641i | ||||||||
\(26\) | 6.68049 | − | 17.1281i | 0.256942 | − | 0.658772i | ||||
\(27\) | 5.19615 | 0.192450 | ||||||||
\(28\) | 4.23020 | − | 15.7873i | 0.151079 | − | 0.563833i | ||||
\(29\) | −3.25785 | − | 5.64275i | −0.112340 | − | 0.194578i | 0.804374 | − | 0.594124i | \(-0.202501\pi\) |
−0.916713 | + | 0.399546i | \(0.869168\pi\) | |||||||
\(30\) | 13.2376 | + | 7.64274i | 0.441254 | + | 0.254758i | ||||
\(31\) | −17.8476 | − | 17.8476i | −0.575730 | − | 0.575730i | 0.357994 | − | 0.933724i | \(-0.383461\pi\) |
−0.933724 | + | 0.357994i | \(0.883461\pi\) | |||||||
\(32\) | −5.46410 | + | 1.46410i | −0.170753 | + | 0.0457532i | ||||
\(33\) | −8.59488 | − | 32.0765i | −0.260451 | − | 0.972016i | ||||
\(34\) | 23.0866 | − | 23.0866i | 0.679018 | − | 0.679018i | ||||
\(35\) | −25.4982 | + | 44.1641i | −0.728519 | + | 1.26183i | ||||
\(36\) | 5.19615 | − | 3.00000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | −1.37988 | − | 0.369738i | −0.0372940 | − | 0.00999291i | 0.240124 | − | 0.970742i | \(-0.422812\pi\) |
−0.277418 | + | 0.960749i | \(0.589479\pi\) | |||||||
\(38\) | 0.611390i | 0.0160892i | ||||||||
\(39\) | 9.04788 | + | 20.6188i | 0.231997 | + | 0.528688i | ||||
\(40\) | 17.6502 | 0.441254 | ||||||||
\(41\) | −10.8187 | + | 40.3758i | −0.263870 | + | 0.984776i | 0.699068 | + | 0.715055i | \(0.253598\pi\) |
−0.962938 | + | 0.269721i | \(0.913068\pi\) | |||||||
\(42\) | 10.0088 | + | 17.3357i | 0.238304 | + | 0.412755i | ||||
\(43\) | −51.1299 | − | 29.5199i | −1.18907 | − | 0.686509i | −0.230973 | − | 0.972960i | \(-0.574191\pi\) |
−0.958095 | + | 0.286452i | \(0.907524\pi\) | |||||||
\(44\) | −27.1143 | − | 27.1143i | −0.616233 | − | 0.616233i | ||||
\(45\) | −18.0829 | + | 4.84531i | −0.401843 | + | 0.107673i | ||||
\(46\) | 15.4135 | + | 57.5241i | 0.335077 | + | 1.25052i | ||||
\(47\) | 15.0543 | − | 15.0543i | 0.320303 | − | 0.320303i | −0.528580 | − | 0.848883i | \(-0.677275\pi\) |
0.848883 | + | 0.528580i | \(0.177275\pi\) | |||||||
\(48\) | 3.46410 | − | 6.00000i | 0.0721688 | − | 0.125000i | ||||
\(49\) | −15.4011 | + | 8.89182i | −0.314308 | + | 0.181466i | ||||
\(50\) | −19.0438 | − | 5.10277i | −0.380876 | − | 0.102055i | ||||
\(51\) | 39.9872i | 0.784062i | ||||||||
\(52\) | 20.9522 | + | 15.3950i | 0.402926 | + | 0.296058i | ||||
\(53\) | 8.90794 | 0.168074 | 0.0840372 | − | 0.996463i | \(-0.473219\pi\) | ||||
0.0840372 | + | 0.996463i | \(0.473219\pi\) | |||||||
\(54\) | −1.90192 | + | 7.09808i | −0.0352208 | + | 0.131446i | ||||
\(55\) | 59.8214 | + | 103.614i | 1.08766 | + | 1.88389i | ||||
\(56\) | 20.0175 | + | 11.5571i | 0.357456 | + | 0.206377i | ||||
\(57\) | −0.529479 | − | 0.529479i | −0.00928910 | − | 0.00928910i | ||||
\(58\) | 8.90060 | − | 2.38491i | 0.153459 | − | 0.0411191i | ||||
\(59\) | 11.4200 | + | 42.6199i | 0.193559 | + | 0.722371i | 0.992635 | + | 0.121141i | \(0.0386554\pi\) |
−0.799077 | + | 0.601229i | \(0.794678\pi\) | |||||||
\(60\) | −15.2855 | + | 15.2855i | −0.254758 | + | 0.254758i | ||||
\(61\) | 44.8027 | − | 77.6005i | 0.734470 | − | 1.27214i | −0.220485 | − | 0.975390i | \(-0.570764\pi\) |
0.954955 | − | 0.296749i | \(-0.0959025\pi\) | |||||||
\(62\) | 30.9130 | − | 17.8476i | 0.498597 | − | 0.287865i | ||||
\(63\) | −23.6810 | − | 6.34531i | −0.375889 | − | 0.100719i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | −50.7138 | − | 63.3178i | −0.780212 | − | 0.974120i | ||||
\(66\) | 46.9633 | 0.711565 | ||||||||
\(67\) | 10.2563 | − | 38.2772i | 0.153080 | − | 0.571302i | −0.846182 | − | 0.532893i | \(-0.821105\pi\) |
0.999262 | − | 0.0384081i | \(-0.0122287\pi\) | |||||||
\(68\) | 23.0866 | + | 39.9872i | 0.339509 | + | 0.588047i | ||||
\(69\) | −63.1659 | − | 36.4688i | −0.915447 | − | 0.528534i | ||||
\(70\) | −50.9963 | − | 50.9963i | −0.728519 | − | 0.728519i | ||||
\(71\) | 8.56730 | − | 2.29560i | 0.120666 | − | 0.0323324i | −0.197981 | − | 0.980206i | \(-0.563438\pi\) |
0.318647 | + | 0.947874i | \(0.396772\pi\) | |||||||
\(72\) | 2.19615 | + | 8.19615i | 0.0305021 | + | 0.113835i | ||||
\(73\) | −5.92683 | + | 5.92683i | −0.0811895 | + | 0.0811895i | −0.746535 | − | 0.665346i | \(-0.768284\pi\) |
0.665346 | + | 0.746535i | \(0.268284\pi\) | |||||||
\(74\) | 1.01014 | − | 1.74962i | 0.0136506 | − | 0.0236435i | ||||
\(75\) | 20.9115 | − | 12.0733i | 0.278820 | − | 0.160977i | ||||
\(76\) | −0.835174 | − | 0.223784i | −0.0109891 | − | 0.00294453i | ||||
\(77\) | 156.682i | 2.03483i | ||||||||
\(78\) | −31.4776 | + | 4.81262i | −0.403559 | + | 0.0617002i | ||||
\(79\) | 115.826 | 1.46616 | 0.733078 | − | 0.680144i | \(-0.238083\pi\) | ||||
0.733078 | + | 0.680144i | \(0.238083\pi\) | |||||||
\(80\) | −6.46041 | + | 24.1106i | −0.0807551 | + | 0.301382i | ||||
\(81\) | −4.50000 | − | 7.79423i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −51.1945 | − | 29.5572i | −0.624323 | − | 0.360453i | ||||
\(83\) | −34.2340 | − | 34.2340i | −0.412458 | − | 0.412458i | 0.470136 | − | 0.882594i | \(-0.344205\pi\) |
−0.882594 | + | 0.470136i | \(0.844205\pi\) | |||||||
\(84\) | −27.3445 | + | 7.32693i | −0.325529 | + | 0.0872253i | ||||
\(85\) | −37.2872 | − | 139.158i | −0.438673 | − | 1.63715i | ||||
\(86\) | 59.0397 | − | 59.0397i | 0.686509 | − | 0.686509i | ||||
\(87\) | −5.64275 | + | 9.77354i | −0.0648592 | + | 0.112340i | ||||
\(88\) | 46.9633 | − | 27.1143i | 0.533674 | − | 0.308117i | ||||
\(89\) | 58.0728 | + | 15.5606i | 0.652503 | + | 0.174838i | 0.569860 | − | 0.821741i | \(-0.306997\pi\) |
0.0826429 | + | 0.996579i | \(0.473664\pi\) | |||||||
\(90\) | − | 26.4752i | − | 0.294169i | ||||||
\(91\) | −16.0561 | − | 105.017i | −0.176441 | − | 1.15404i | ||||
\(92\) | −84.2211 | −0.915447 | ||||||||
\(93\) | −11.3149 | + | 42.2280i | −0.121666 | + | 0.454064i | ||||
\(94\) | 15.0543 | + | 26.0747i | 0.160152 | + | 0.277391i | ||||
\(95\) | 2.33635 | + | 1.34889i | 0.0245931 | + | 0.0141988i | ||||
\(96\) | 6.92820 | + | 6.92820i | 0.0721688 | + | 0.0721688i | ||||
\(97\) | −129.142 | + | 34.6035i | −1.33136 | + | 0.356737i | −0.853223 | − | 0.521547i | \(-0.825355\pi\) |
−0.478139 | + | 0.878284i | \(0.658688\pi\) | |||||||
\(98\) | −6.50926 | − | 24.2929i | −0.0664211 | − | 0.247887i | ||||
\(99\) | −40.6714 | + | 40.6714i | −0.410822 | + | 0.410822i | ||||
\(100\) | 13.9410 | − | 24.1466i | 0.139410 | − | 0.241466i | ||||
\(101\) | 33.1291 | − | 19.1271i | 0.328010 | − | 0.189377i | −0.326947 | − | 0.945043i | \(-0.606020\pi\) |
0.654957 | + | 0.755666i | \(0.272687\pi\) | |||||||
\(102\) | −54.6235 | − | 14.6363i | −0.535525 | − | 0.143493i | ||||
\(103\) | 65.9827i | 0.640609i | 0.947315 | + | 0.320304i | \(0.103785\pi\) | ||||
−0.947315 | + | 0.320304i | \(0.896215\pi\) | |||||||
\(104\) | −28.6990 | + | 22.9862i | −0.275952 | + | 0.221021i | ||||
\(105\) | 88.3282 | 0.841221 | ||||||||
\(106\) | −3.26053 | + | 12.1685i | −0.0307597 | + | 0.114797i | ||||
\(107\) | −47.2413 | − | 81.8244i | −0.441508 | − | 0.764714i | 0.556294 | − | 0.830986i | \(-0.312223\pi\) |
−0.997802 | + | 0.0662716i | \(0.978890\pi\) | |||||||
\(108\) | −9.00000 | − | 5.19615i | −0.0833333 | − | 0.0481125i | ||||
\(109\) | −100.935 | − | 100.935i | −0.926011 | − | 0.926011i | 0.0714342 | − | 0.997445i | \(-0.477242\pi\) |
−0.997445 | + | 0.0714342i | \(0.977242\pi\) | |||||||
\(110\) | −163.435 | + | 43.7923i | −1.48577 | + | 0.398112i | ||||
\(111\) | 0.640404 | + | 2.39002i | 0.00576941 | + | 0.0215317i | ||||
\(112\) | −23.1143 | + | 23.1143i | −0.206377 | + | 0.206377i | ||||
\(113\) | −15.3509 | + | 26.5885i | −0.135849 | + | 0.235297i | −0.925921 | − | 0.377716i | \(-0.876709\pi\) |
0.790073 | + | 0.613013i | \(0.210043\pi\) | |||||||
\(114\) | 0.917084 | − | 0.529479i | 0.00804460 | − | 0.00464455i | ||||
\(115\) | 253.827 | + | 68.0129i | 2.20720 | + | 0.591416i | ||||
\(116\) | 13.0314i | 0.112340i | ||||||||
\(117\) | 23.0925 | − | 31.4282i | 0.197372 | − | 0.268617i | ||||
\(118\) | −62.3998 | −0.528812 | ||||||||
\(119\) | 48.8305 | − | 182.238i | 0.410341 | − | 1.53141i | ||||
\(120\) | −15.2855 | − | 26.4752i | −0.127379 | − | 0.220627i | ||||
\(121\) | 213.555 | + | 123.296i | 1.76491 | + | 1.01897i | ||||
\(122\) | 89.6053 | + | 89.6053i | 0.734470 | + | 0.734470i | ||||
\(123\) | 69.9330 | − | 18.7385i | 0.568561 | − | 0.152345i | ||||
\(124\) | 13.0654 | + | 48.7607i | 0.105366 | + | 0.393231i | ||||
\(125\) | 48.7982 | − | 48.7982i | 0.390385 | − | 0.390385i | ||||
\(126\) | 17.3357 | − | 30.0263i | 0.137585 | − | 0.238304i | ||||
\(127\) | −137.861 | + | 79.5940i | −1.08552 | + | 0.626725i | −0.932380 | − | 0.361480i | \(-0.882272\pi\) |
−0.153139 | + | 0.988205i | \(0.548938\pi\) | |||||||
\(128\) | 10.9282 | + | 2.92820i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | 102.260i | 0.792712i | ||||||||
\(130\) | 105.056 | − | 46.1004i | 0.808125 | − | 0.354619i | ||||
\(131\) | 88.8918 | 0.678563 | 0.339282 | − | 0.940685i | \(-0.389816\pi\) | ||||
0.339282 | + | 0.940685i | \(0.389816\pi\) | |||||||
\(132\) | −17.1898 | + | 64.1530i | −0.130225 | + | 0.486008i | ||||
\(133\) | 1.76648 | + | 3.05963i | 0.0132818 | + | 0.0230047i | ||||
\(134\) | 48.5335 | + | 28.0209i | 0.362191 | + | 0.209111i | ||||
\(135\) | 22.9282 | + | 22.9282i | 0.169839 | + | 0.169839i | ||||
\(136\) | −63.0738 | + | 16.9006i | −0.463778 | + | 0.124269i | ||||
\(137\) | 28.4831 | + | 106.300i | 0.207906 | + | 0.775915i | 0.988544 | + | 0.150932i | \(0.0482274\pi\) |
−0.780638 | + | 0.624983i | \(0.785106\pi\) | |||||||
\(138\) | 72.9376 | − | 72.9376i | 0.528534 | − | 0.528534i | ||||
\(139\) | −124.068 | + | 214.891i | −0.892573 | + | 1.54598i | −0.0557926 | + | 0.998442i | \(0.517769\pi\) |
−0.836780 | + | 0.547539i | \(0.815565\pi\) | |||||||
\(140\) | 88.3282 | − | 50.9963i | 0.630916 | − | 0.364259i | ||||
\(141\) | −35.6188 | − | 9.54402i | −0.252615 | − | 0.0676881i | ||||
\(142\) | 12.5434i | 0.0883338i | ||||||||
\(143\) | −232.208 | − | 90.5683i | −1.62383 | − | 0.633345i | ||||
\(144\) | −12.0000 | −0.0833333 | ||||||||
\(145\) | 10.5235 | − | 39.2743i | 0.0725759 | − | 0.270857i | ||||
\(146\) | −5.92683 | − | 10.2656i | −0.0405947 | − | 0.0703121i | ||||
\(147\) | 26.6755 | + | 15.4011i | 0.181466 | + | 0.104769i | ||||
\(148\) | 2.02028 | + | 2.02028i | 0.0136506 | + | 0.0136506i | ||||
\(149\) | −133.409 | + | 35.7469i | −0.895363 | + | 0.239912i | −0.677024 | − | 0.735961i | \(-0.736731\pi\) |
−0.218339 | + | 0.975873i | \(0.570064\pi\) | |||||||
\(150\) | 8.83825 | + | 32.9848i | 0.0589217 | + | 0.219899i | ||||
\(151\) | −19.6390 | + | 19.6390i | −0.130060 | + | 0.130060i | −0.769140 | − | 0.639080i | \(-0.779315\pi\) |
0.639080 | + | 0.769140i | \(0.279315\pi\) | |||||||
\(152\) | 0.611390 | − | 1.05896i | 0.00402230 | − | 0.00696683i | ||||
\(153\) | 59.9808 | − | 34.6299i | 0.392031 | − | 0.226339i | ||||
\(154\) | −214.031 | − | 57.3494i | −1.38981 | − | 0.372399i | ||||
\(155\) | − | 157.507i | − | 1.01617i | ||||||
\(156\) | 4.94744 | − | 44.7607i | 0.0317144 | − | 0.286928i | ||||
\(157\) | −121.293 | −0.772569 | −0.386285 | − | 0.922380i | \(-0.626242\pi\) | ||||
−0.386285 | + | 0.922380i | \(0.626242\pi\) | |||||||
\(158\) | −42.3954 | + | 158.222i | −0.268325 | + | 1.00140i | ||||
\(159\) | −7.71450 | − | 13.3619i | −0.0485189 | − | 0.0840372i | ||||
\(160\) | −30.5710 | − | 17.6502i | −0.191069 | − | 0.110314i | ||||
\(161\) | 243.339 | + | 243.339i | 1.51142 | + | 1.51142i | ||||
\(162\) | 12.2942 | − | 3.29423i | 0.0758903 | − | 0.0203347i | ||||
\(163\) | 48.9961 | + | 182.856i | 0.300590 | + | 1.12182i | 0.936676 | + | 0.350198i | \(0.113886\pi\) |
−0.636086 | + | 0.771618i | \(0.719448\pi\) | |||||||
\(164\) | 59.1143 | − | 59.1143i | 0.360453 | − | 0.360453i | ||||
\(165\) | 103.614 | − | 179.464i | 0.627962 | − | 1.08766i | ||||
\(166\) | 59.2950 | − | 34.2340i | 0.357199 | − | 0.206229i | ||||
\(167\) | −54.7719 | − | 14.6761i | −0.327976 | − | 0.0878808i | 0.0910740 | − | 0.995844i | \(-0.470970\pi\) |
−0.419050 | + | 0.907963i | \(0.637637\pi\) | |||||||
\(168\) | − | 40.0351i | − | 0.238304i | ||||||
\(169\) | 164.920 | + | 36.9085i | 0.975861 | + | 0.218394i | ||||
\(170\) | 203.741 | 1.19848 | ||||||||
\(171\) | −0.335676 | + | 1.25276i | −0.00196302 | + | 0.00732608i | ||||
\(172\) | 59.0397 | + | 102.260i | 0.343254 | + | 0.594534i | ||||
\(173\) | −281.887 | − | 162.747i | −1.62940 | − | 0.940736i | −0.984271 | − | 0.176663i | \(-0.943470\pi\) |
−0.645130 | − | 0.764072i | \(-0.723197\pi\) | |||||||
\(174\) | −11.2855 | − | 11.2855i | −0.0648592 | − | 0.0648592i | ||||
\(175\) | −110.046 | + | 29.4867i | −0.628833 | + | 0.168495i | ||||
\(176\) | 19.8490 | + | 74.0775i | 0.112779 | + | 0.420895i | ||||
\(177\) | 54.0398 | − | 54.0398i | 0.305310 | − | 0.305310i | ||||
\(178\) | −42.5122 | + | 73.6334i | −0.238833 | + | 0.413671i | ||||
\(179\) | −122.019 | + | 70.4476i | −0.681670 | + | 0.393562i | −0.800484 | − | 0.599354i | \(-0.795424\pi\) |
0.118814 | + | 0.992917i | \(0.462091\pi\) | |||||||
\(180\) | 36.1659 | + | 9.69061i | 0.200921 | + | 0.0538367i | ||||
\(181\) | 56.0814i | 0.309842i | 0.987927 | + | 0.154921i | \(0.0495123\pi\) | ||||
−0.987927 | + | 0.154921i | \(0.950488\pi\) | |||||||
\(182\) | 149.333 | + | 16.5059i | 0.820512 | + | 0.0906919i | ||||
\(183\) | −155.201 | −0.848093 | ||||||||
\(184\) | 30.8271 | − | 115.048i | 0.167538 | − | 0.625262i | ||||
\(185\) | −4.45729 | − | 7.72026i | −0.0240935 | − | 0.0417311i | ||||
\(186\) | −53.5429 | − | 30.9130i | −0.287865 | − | 0.166199i | ||||
\(187\) | −312.988 | − | 312.988i | −1.67373 | − | 1.67373i | ||||
\(188\) | −41.1290 | + | 11.0205i | −0.218771 | + | 0.0586196i | ||||
\(189\) | 10.9904 | + | 41.0167i | 0.0581502 | + | 0.217020i | ||||
\(190\) | −2.69778 | + | 2.69778i | −0.0141988 | + | 0.0141988i | ||||
\(191\) | 80.6165 | − | 139.632i | 0.422076 | − | 0.731057i | −0.574067 | − | 0.818809i | \(-0.694635\pi\) |
0.996142 | + | 0.0877520i | \(0.0279683\pi\) | |||||||
\(192\) | −12.0000 | + | 6.92820i | −0.0625000 | + | 0.0360844i | ||||
\(193\) | 162.089 | + | 43.4316i | 0.839838 | + | 0.225034i | 0.653001 | − | 0.757357i | \(-0.273510\pi\) |
0.186837 | + | 0.982391i | \(0.440176\pi\) | |||||||
\(194\) | − | 189.077i | − | 0.974624i | ||||||
\(195\) | −51.0573 | + | 130.906i | −0.261832 | + | 0.671310i | ||||
\(196\) | 35.5673 | 0.181466 | ||||||||
\(197\) | 52.3324 | − | 195.307i | 0.265647 | − | 0.991407i | −0.696207 | − | 0.717841i | \(-0.745130\pi\) |
0.961853 | − | 0.273565i | \(-0.0882030\pi\) | |||||||
\(198\) | −40.6714 | − | 70.4449i | −0.205411 | − | 0.355782i | ||||
\(199\) | 80.8275 | + | 46.6658i | 0.406168 | + | 0.234501i | 0.689142 | − | 0.724626i | \(-0.257988\pi\) |
−0.282974 | + | 0.959128i | \(0.591321\pi\) | |||||||
\(200\) | 27.8820 | + | 27.8820i | 0.139410 | + | 0.139410i | ||||
\(201\) | −66.2981 | + | 17.7645i | −0.329841 | + | 0.0883807i | ||||
\(202\) | 14.0020 | + | 52.2561i | 0.0693168 | + | 0.258694i | ||||
\(203\) | 37.6513 | − | 37.6513i | 0.185475 | − | 0.185475i | ||||
\(204\) | 39.9872 | − | 69.2598i | 0.196016 | − | 0.339509i | ||||
\(205\) | −225.898 | + | 130.422i | −1.10194 | + | 0.636206i | ||||
\(206\) | −90.1341 | − | 24.1514i | −0.437544 | − | 0.117240i | ||||
\(207\) | 126.332i | 0.610298i | ||||||||
\(208\) | −20.8952 | − | 47.6171i | −0.100458 | − | 0.228929i | ||||
\(209\) | 8.28869 | 0.0396588 | ||||||||
\(210\) | −32.3304 | + | 120.659i | −0.153954 | + | 0.574565i | ||||
\(211\) | −158.226 | − | 274.055i | −0.749885 | − | 1.29884i | −0.947877 | − | 0.318635i | \(-0.896776\pi\) |
0.197993 | − | 0.980203i | \(-0.436558\pi\) | |||||||
\(212\) | −15.4290 | − | 8.90794i | −0.0727783 | − | 0.0420186i | ||||
\(213\) | −10.8629 | − | 10.8629i | −0.0509995 | − | 0.0509995i | ||||
\(214\) | 129.066 | − | 34.5831i | 0.603111 | − | 0.161603i | ||||
\(215\) | −95.3552 | − | 355.870i | −0.443513 | − | 1.65521i | ||||
\(216\) | 10.3923 | − | 10.3923i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | 103.134 | − | 178.633i | 0.475271 | − | 0.823193i | ||||
\(218\) | 174.825 | − | 100.935i | 0.801949 | − | 0.463006i | ||||
\(219\) | 14.0230 | + | 3.75746i | 0.0640321 | + | 0.0171574i | ||||
\(220\) | − | 239.286i | − | 1.08766i | ||||||
\(221\) | 241.857 | + | 177.710i | 1.09438 | + | 0.804116i | ||||
\(222\) | −3.49923 | −0.0157623 | ||||||||
\(223\) | 17.6758 | − | 65.9671i | 0.0792638 | − | 0.295817i | −0.914902 | − | 0.403675i | \(-0.867733\pi\) |
0.994166 | + | 0.107858i | \(0.0343993\pi\) | |||||||
\(224\) | −23.1143 | − | 40.0351i | −0.103189 | − | 0.178728i | ||||
\(225\) | −36.2198 | − | 20.9115i | −0.160977 | − | 0.0929401i | ||||
\(226\) | −30.7018 | − | 30.7018i | −0.135849 | − | 0.135849i | ||||
\(227\) | 24.3066 | − | 6.51292i | 0.107077 | − | 0.0286913i | −0.204882 | − | 0.978787i | \(-0.565681\pi\) |
0.311960 | + | 0.950095i | \(0.399015\pi\) | |||||||
\(228\) | 0.387605 | + | 1.44656i | 0.00170002 | + | 0.00634458i | ||||
\(229\) | −274.910 | + | 274.910i | −1.20048 | + | 1.20048i | −0.226461 | + | 0.974020i | \(0.572716\pi\) |
−0.974020 | + | 0.226461i | \(0.927284\pi\) | |||||||
\(230\) | −185.815 | + | 321.840i | −0.807889 | + | 1.39931i | ||||
\(231\) | 235.022 | − | 135.690i | 1.01741 | − | 0.587403i | ||||
\(232\) | −17.8012 | − | 4.76982i | −0.0767293 | − | 0.0205596i | ||||
\(233\) | 401.576i | 1.72350i | 0.507333 | + | 0.861750i | \(0.330631\pi\) | ||||
−0.507333 | + | 0.861750i | \(0.669369\pi\) | |||||||
\(234\) | 34.4793 | + | 43.0485i | 0.147348 | + | 0.183968i | ||||
\(235\) | 132.855 | 0.565341 | ||||||||
\(236\) | 22.8399 | − | 85.2397i | 0.0967793 | − | 0.361185i | ||||
\(237\) | −100.309 | − | 173.740i | −0.423243 | − | 0.733078i | ||||
\(238\) | 231.069 | + | 133.407i | 0.970876 | + | 0.560536i | ||||
\(239\) | 305.397 | + | 305.397i | 1.27781 | + | 1.27781i | 0.941891 | + | 0.335919i | \(0.109047\pi\) |
0.335919 | + | 0.941891i | \(0.390953\pi\) | |||||||
\(240\) | 41.7607 | − | 11.1898i | 0.174003 | − | 0.0466240i | ||||
\(241\) | −28.8074 | − | 107.511i | −0.119533 | − | 0.446102i | 0.880053 | − | 0.474875i | \(-0.157507\pi\) |
−0.999586 | + | 0.0287729i | \(0.990840\pi\) | |||||||
\(242\) | −246.592 | + | 246.592i | −1.01897 | + | 1.01897i | ||||
\(243\) | −7.79423 | + | 13.5000i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −155.201 | + | 89.6053i | −0.636070 | + | 0.367235i | ||||
\(245\) | −107.193 | − | 28.7224i | −0.437524 | − | 0.117234i | ||||
\(246\) | 102.389i | 0.416215i | ||||||||
\(247\) | −5.55557 | + | 0.849393i | −0.0224922 | + | 0.00343884i | ||||
\(248\) | −71.3905 | −0.287865 | ||||||||
\(249\) | −21.7035 | + | 80.9985i | −0.0871625 | + | 0.325295i | ||||
\(250\) | 48.7982 | + | 84.5209i | 0.195193 | + | 0.338084i | ||||
\(251\) | 75.9010 | + | 43.8214i | 0.302394 | + | 0.174587i | 0.643518 | − | 0.765431i | \(-0.277474\pi\) |
−0.341124 | + | 0.940018i | \(0.610808\pi\) | |||||||
\(252\) | 34.6714 | + | 34.6714i | 0.137585 | + | 0.137585i | ||||
\(253\) | 779.862 | − | 208.963i | 3.08246 | − | 0.825942i | ||||
\(254\) | −58.2669 | − | 217.455i | −0.229397 | − | 0.856122i | ||||
\(255\) | −176.445 | + | 176.445i | −0.691941 | + | 0.691941i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −151.909 | + | 87.7045i | −0.591084 | + | 0.341263i | −0.765526 | − | 0.643405i | \(-0.777521\pi\) |
0.174442 | + | 0.984667i | \(0.444188\pi\) | |||||||
\(258\) | −139.690 | − | 37.4297i | −0.541432 | − | 0.145076i | ||||
\(259\) | − | 11.6743i | − | 0.0450747i | ||||||
\(260\) | 24.5211 | + | 160.383i | 0.0943118 | + | 0.616859i | ||||
\(261\) | 19.5471 | 0.0748930 | ||||||||
\(262\) | −32.5366 | + | 121.428i | −0.124186 | + | 0.463467i | ||||
\(263\) | 63.6818 | + | 110.300i | 0.242136 | + | 0.419392i | 0.961323 | − | 0.275425i | \(-0.0888186\pi\) |
−0.719186 | + | 0.694817i | \(0.755485\pi\) | |||||||
\(264\) | −81.3428 | − | 46.9633i | −0.308117 | − | 0.177891i | ||||
\(265\) | 39.3066 | + | 39.3066i | 0.148327 | + | 0.148327i | ||||
\(266\) | −4.82611 | + | 1.29315i | −0.0181433 | + | 0.00486147i | ||||
\(267\) | −26.9517 | − | 100.585i | −0.100943 | − | 0.376723i | ||||
\(268\) | −56.0417 | + | 56.0417i | −0.209111 | + | 0.209111i | ||||
\(269\) | 104.127 | − | 180.352i | 0.387087 | − | 0.670455i | −0.604969 | − | 0.796249i | \(-0.706814\pi\) |
0.992056 | + | 0.125794i | \(0.0401478\pi\) | |||||||
\(270\) | −39.7129 | + | 22.9282i | −0.147085 | + | 0.0849194i | ||||
\(271\) | 3.66031 | + | 0.980776i | 0.0135067 | + | 0.00361910i | 0.265566 | − | 0.964093i | \(-0.414441\pi\) |
−0.252059 | + | 0.967712i | \(0.581108\pi\) | |||||||
\(272\) | − | 92.3464i | − | 0.339509i | ||||||
\(273\) | −143.621 | + | 115.032i | −0.526084 | + | 0.421362i | ||||
\(274\) | −155.634 | −0.568009 | ||||||||
\(275\) | −69.1789 | + | 258.179i | −0.251560 | + | 0.938833i | ||||
\(276\) | 72.9376 | + | 126.332i | 0.264267 | + | 0.457724i | ||||
\(277\) | 59.5357 | + | 34.3730i | 0.214930 | + | 0.124090i | 0.603601 | − | 0.797287i | \(-0.293732\pi\) |
−0.388670 | + | 0.921377i | \(0.627065\pi\) | |||||||
\(278\) | −248.135 | − | 248.135i | −0.892573 | − | 0.892573i | ||||
\(279\) | 73.1410 | − | 19.5981i | 0.262154 | − | 0.0702440i | ||||
\(280\) | 37.3319 | + | 139.324i | 0.133328 | + | 0.497587i | ||||
\(281\) | −19.5583 | + | 19.5583i | −0.0696025 | + | 0.0696025i | −0.741051 | − | 0.671449i | \(-0.765672\pi\) |
0.671449 | + | 0.741051i | \(0.265672\pi\) | |||||||
\(282\) | 26.0747 | − | 45.1628i | 0.0924636 | − | 0.160152i | ||||
\(283\) | −109.532 | + | 63.2384i | −0.387039 | + | 0.223457i | −0.680876 | − | 0.732398i | \(-0.738401\pi\) |
0.293837 | + | 0.955855i | \(0.405068\pi\) | |||||||
\(284\) | −17.1346 | − | 4.59120i | −0.0603331 | − | 0.0161662i | ||||
\(285\) | − | 4.67269i | − | 0.0163954i | ||||||
\(286\) | 208.712 | − | 284.051i | 0.729764 | − | 0.993186i | ||||
\(287\) | −341.596 | −1.19023 | ||||||||
\(288\) | 4.39230 | − | 16.3923i | 0.0152511 | − | 0.0569177i | ||||
\(289\) | 121.996 | + | 211.303i | 0.422131 | + | 0.731152i | ||||
\(290\) | 49.7978 | + | 28.7507i | 0.171716 | + | 0.0991405i | ||||
\(291\) | 163.746 | + | 163.746i | 0.562700 | + | 0.562700i | ||||
\(292\) | 16.1924 | − | 4.33874i | 0.0554534 | − | 0.0148587i | ||||
\(293\) | 96.4402 | + | 359.920i | 0.329148 | + | 1.22840i | 0.910076 | + | 0.414441i | \(0.136023\pi\) |
−0.580929 | + | 0.813954i | \(0.697311\pi\) | |||||||
\(294\) | −30.8022 | + | 30.8022i | −0.104769 | + | 0.104769i | ||||
\(295\) | −137.671 | + | 238.453i | −0.466681 | + | 0.808315i | ||||
\(296\) | −3.49923 | + | 2.02028i | −0.0118217 | + | 0.00682528i | ||||
\(297\) | 96.2296 | + | 25.7846i | 0.324005 | + | 0.0868169i | ||||
\(298\) | − | 195.325i | − | 0.655452i | ||||||
\(299\) | −501.296 | + | 219.977i | −1.67658 | + | 0.735709i | ||||
\(300\) | −48.2931 | −0.160977 | ||||||||
\(301\) | 124.875 | − | 466.040i | 0.414867 | − | 1.54831i | ||||
\(302\) | −19.6390 | − | 34.0158i | −0.0650299 | − | 0.112635i | ||||
\(303\) | −57.3812 | − | 33.1291i | −0.189377 | − | 0.109337i | ||||
\(304\) | 1.22278 | + | 1.22278i | 0.00402230 | + | 0.00402230i | ||||
\(305\) | 540.109 | − | 144.722i | 1.77085 | − | 0.474498i | ||||
\(306\) | 25.3509 | + | 94.6107i | 0.0828459 | + | 0.309185i | ||||
\(307\) | 259.830 | − | 259.830i | 0.846352 | − | 0.846352i | −0.143324 | − | 0.989676i | \(-0.545779\pi\) |
0.989676 | + | 0.143324i | \(0.0457792\pi\) | |||||||
\(308\) | 156.682 | − | 271.380i | 0.508706 | − | 0.881105i | ||||
\(309\) | 98.9741 | − | 57.1427i | 0.320304 | − | 0.184928i | ||||
\(310\) | 215.158 | + | 57.6515i | 0.694059 | + | 0.185973i | ||||
\(311\) | − | 356.838i | − | 1.14739i | −0.819069 | − | 0.573695i | \(-0.805509\pi\) | ||
0.819069 | − | 0.573695i | \(-0.194491\pi\) | |||||||
\(312\) | 59.3334 | + | 23.1419i | 0.190171 | + | 0.0741727i | ||||
\(313\) | −19.6152 | −0.0626683 | −0.0313342 | − | 0.999509i | \(-0.509976\pi\) | ||||
−0.0313342 | + | 0.999509i | \(0.509976\pi\) | |||||||
\(314\) | 44.3965 | − | 165.690i | 0.141390 | − | 0.527675i | ||||
\(315\) | −76.4945 | − | 132.492i | −0.242840 | − | 0.420610i | ||||
\(316\) | −200.617 | − | 115.826i | −0.634865 | − | 0.366539i | ||||
\(317\) | −139.801 | − | 139.801i | −0.441011 | − | 0.441011i | 0.451341 | − | 0.892352i | \(-0.350946\pi\) |
−0.892352 | + | 0.451341i | \(0.850946\pi\) | |||||||
\(318\) | 21.0764 | − | 5.64741i | 0.0662780 | − | 0.0177591i | ||||
\(319\) | −32.3325 | − | 120.667i | −0.101356 | − | 0.378265i | ||||
\(320\) | 35.3003 | − | 35.3003i | 0.110314 | − | 0.110314i | ||||
\(321\) | −81.8244 | + | 141.724i | −0.254905 | + | 0.441508i | ||||
\(322\) | −421.475 | + | 243.339i | −1.30893 | + | 0.755710i | ||||
\(323\) | −9.64066 | − | 2.58321i | −0.0298473 | − | 0.00799755i | ||||
\(324\) | 18.0000i | 0.0555556i | ||||||||
\(325\) | 19.9106 | − | 180.136i | 0.0612634 | − | 0.554265i | ||||
\(326\) | −267.720 | −0.821226 | ||||||||
\(327\) | −63.9904 | + | 238.815i | −0.195689 | + | 0.730322i | ||||
\(328\) | 59.1143 | + | 102.389i | 0.180227 | + | 0.312162i | ||||
\(329\) | 150.675 | + | 86.9920i | 0.457978 | + | 0.264413i | ||||
\(330\) | 207.227 | + | 207.227i | 0.627962 | + | 0.627962i | ||||
\(331\) | 265.737 | − | 71.2040i | 0.802830 | − | 0.215118i | 0.166004 | − | 0.986125i | \(-0.446914\pi\) |
0.636826 | + | 0.771007i | \(0.280247\pi\) | |||||||
\(332\) | 25.0610 | + | 93.5290i | 0.0754850 | + | 0.281714i | ||||
\(333\) | 3.03043 | − | 3.03043i | 0.00910038 | − | 0.00910038i | ||||
\(334\) | 40.0958 | − | 69.4480i | 0.120047 | − | 0.207928i | ||||
\(335\) | 214.156 | − | 123.643i | 0.639272 | − | 0.369084i | ||||
\(336\) | 54.6889 | + | 14.6539i | 0.162765 | + | 0.0436127i | ||||
\(337\) | − | 625.952i | − | 1.85743i | −0.370800 | − | 0.928713i | \(-0.620916\pi\) | ||
0.370800 | − | 0.928713i | \(-0.379084\pi\) | |||||||
\(338\) | −110.783 | + | 211.776i | −0.327760 | + | 0.626557i | ||||
\(339\) | 53.1771 | 0.156864 | ||||||||
\(340\) | −74.5745 | + | 278.316i | −0.219337 | + | 0.818575i | ||||
\(341\) | −241.963 | − | 419.092i | −0.709568 | − | 1.22901i | ||||
\(342\) | −1.58844 | − | 0.917084i | −0.00464455 | − | 0.00268153i | ||||
\(343\) | 180.386 | + | 180.386i | 0.525906 | + | 0.525906i | ||||
\(344\) | −161.300 | + | 43.2201i | −0.468894 | + | 0.125640i | ||||
\(345\) | −117.802 | − | 439.642i | −0.341454 | − | 1.27432i | ||||
\(346\) | 325.495 | − | 325.495i | 0.940736 | − | 0.940736i | ||||
\(347\) | 52.8438 | − | 91.5282i | 0.152288 | − | 0.263770i | −0.779780 | − | 0.626053i | \(-0.784669\pi\) |
0.932068 | + | 0.362283i | \(0.118003\pi\) | |||||||
\(348\) | 19.5471 | − | 11.2855i | 0.0561698 | − | 0.0324296i | ||||
\(349\) | −418.494 | − | 112.135i | −1.19912 | − | 0.321304i | −0.396637 | − | 0.917976i | \(-0.629823\pi\) |
−0.802485 | + | 0.596672i | \(0.796489\pi\) | |||||||
\(350\) | − | 161.118i | − | 0.460338i | ||||||
\(351\) | −67.1411 | − | 7.42116i | −0.191285 | − | 0.0211429i | ||||
\(352\) | −108.457 | −0.308117 | ||||||||
\(353\) | −152.231 | + | 568.133i | −0.431248 | + | 1.60944i | 0.318639 | + | 0.947876i | \(0.396774\pi\) |
−0.749888 | + | 0.661565i | \(0.769892\pi\) | |||||||
\(354\) | 54.0398 | + | 93.5997i | 0.152655 | + | 0.264406i | ||||
\(355\) | 47.9330 | + | 27.6741i | 0.135023 | + | 0.0779553i | ||||
\(356\) | −85.0245 | − | 85.0245i | −0.238833 | − | 0.238833i | ||||
\(357\) | −315.646 | + | 84.5770i | −0.884161 | + | 0.236910i | ||||
\(358\) | −51.5712 | − | 192.466i | −0.144054 | − | 0.537616i | ||||
\(359\) | 172.896 | − | 172.896i | 0.481604 | − | 0.481604i | −0.424040 | − | 0.905644i | \(-0.639388\pi\) |
0.905644 | + | 0.424040i | \(0.139388\pi\) | |||||||
\(360\) | −26.4752 | + | 45.8565i | −0.0735423 | + | 0.127379i | ||||
\(361\) | −312.473 | + | 180.407i | −0.865577 | + | 0.499741i | ||||
\(362\) | −76.6086 | − | 20.5272i | −0.211626 | − | 0.0567050i | ||||
\(363\) | − | 427.109i | − | 1.17661i | ||||||
\(364\) | −77.2073 | + | 197.951i | −0.212108 | + | 0.543823i | ||||
\(365\) | −52.3048 | −0.143301 | ||||||||
\(366\) | 56.8075 | − | 212.009i | 0.155212 | − | 0.579258i | ||||
\(367\) | 172.613 | + | 298.974i | 0.470335 | + | 0.814644i | 0.999424 | − | 0.0339223i | \(-0.0107999\pi\) |
−0.529090 | + | 0.848566i | \(0.677467\pi\) | |||||||
\(368\) | 145.875 | + | 84.2211i | 0.396400 | + | 0.228862i | ||||
\(369\) | −88.6715 | − | 88.6715i | −0.240302 | − | 0.240302i | ||||
\(370\) | 12.1775 | − | 3.26296i | 0.0329123 | − | 0.00881882i | ||||
\(371\) | 18.8412 | + | 70.3163i | 0.0507849 | + | 0.189532i | ||||
\(372\) | 61.8260 | − | 61.8260i | 0.166199 | − | 0.166199i | ||||
\(373\) | −223.291 | + | 386.751i | −0.598635 | + | 1.03687i | 0.394388 | + | 0.918944i | \(0.370957\pi\) |
−0.993023 | + | 0.117922i | \(0.962377\pi\) | |||||||
\(374\) | 542.111 | − | 312.988i | 1.44950 | − | 0.836867i | ||||
\(375\) | −115.458 | − | 30.9368i | −0.307887 | − | 0.0824982i | ||||
\(376\) | − | 60.2170i | − | 0.160152i | ||||||
\(377\) | 34.0366 | + | 77.5646i | 0.0902828 | + | 0.205742i | ||||
\(378\) | −60.0526 | −0.158869 | ||||||||
\(379\) | 58.0212 | − | 216.538i | 0.153090 | − | 0.571340i | −0.846171 | − | 0.532911i | \(-0.821098\pi\) |
0.999261 | − | 0.0384290i | \(-0.0122353\pi\) | |||||||
\(380\) | −2.69778 | − | 4.67269i | −0.00709942 | − | 0.0122966i | ||||
\(381\) | 238.782 | + | 137.861i | 0.626725 | + | 0.361840i | ||||
\(382\) | 161.233 | + | 161.233i | 0.422076 | + | 0.422076i | ||||
\(383\) | 275.080 | − | 73.7074i | 0.718224 | − | 0.192448i | 0.118845 | − | 0.992913i | \(-0.462081\pi\) |
0.599379 | + | 0.800465i | \(0.295414\pi\) | |||||||
\(384\) | −5.07180 | − | 18.9282i | −0.0132078 | − | 0.0492922i | ||||
\(385\) | −691.364 | + | 691.364i | −1.79575 | + | 1.79575i | ||||
\(386\) | −118.657 | + | 205.520i | −0.307402 | + | 0.532436i | ||||
\(387\) | 153.390 | − | 88.5596i | 0.396356 | − | 0.228836i | ||||
\(388\) | 258.284 | + | 69.2070i | 0.665681 | + | 0.178369i | ||||
\(389\) | − | 55.5965i | − | 0.142922i | −0.997443 | − | 0.0714608i | \(-0.977234\pi\) | ||
0.997443 | − | 0.0714608i | \(-0.0227661\pi\) | |||||||
\(390\) | −160.132 | − | 117.660i | −0.410595 | − | 0.301693i | ||||
\(391\) | −972.190 | −2.48642 | ||||||||
\(392\) | −13.0185 | + | 48.5858i | −0.0332105 | + | 0.123943i | ||||
\(393\) | −76.9825 | − | 133.338i | −0.195884 | − | 0.339282i | ||||
\(394\) | 247.640 | + | 142.975i | 0.628527 | + | 0.362880i | ||||
\(395\) | 511.089 | + | 511.089i | 1.29390 | + | 1.29390i | ||||
\(396\) | 111.116 | − | 29.7735i | 0.280597 | − | 0.0751857i | ||||
\(397\) | −60.5246 | − | 225.881i | −0.152455 | − | 0.568969i | −0.999310 | − | 0.0371454i | \(-0.988174\pi\) |
0.846855 | − | 0.531824i | \(-0.178493\pi\) | |||||||
\(398\) | −93.3316 | + | 93.3316i | −0.234501 | + | 0.234501i | ||||
\(399\) | 3.05963 | − | 5.29943i | 0.00766824 | − | 0.0132818i | ||||
\(400\) | −48.2931 | + | 27.8820i | −0.120733 | + | 0.0697051i | ||||
\(401\) | −139.942 | − | 37.4974i | −0.348983 | − | 0.0935096i | 0.0800696 | − | 0.996789i | \(-0.474486\pi\) |
−0.429052 | + | 0.903280i | \(0.641152\pi\) | |||||||
\(402\) | − | 97.0671i | − | 0.241460i | ||||||
\(403\) | 205.125 | + | 256.105i | 0.508995 | + | 0.635496i | ||||
\(404\) | −76.5083 | −0.189377 | ||||||||
\(405\) | 14.5359 | − | 54.2488i | 0.0358912 | − | 0.133948i | ||||
\(406\) | 37.6513 | + | 65.2140i | 0.0927373 | + | 0.160626i | ||||
\(407\) | −23.7198 | − | 13.6946i | −0.0582796 | − | 0.0336477i | ||||
\(408\) | 79.9744 | + | 79.9744i | 0.196016 | + | 0.196016i | ||||
\(409\) | −666.035 | + | 178.463i | −1.62845 | + | 0.436341i | −0.953468 | − | 0.301496i | \(-0.902514\pi\) |
−0.674979 | + | 0.737837i | \(0.735847\pi\) | |||||||
\(410\) | −95.4756 | − | 356.320i | −0.232867 | − | 0.869073i | ||||
\(411\) | 134.783 | − | 134.783i | 0.327940 | − | 0.327940i | ||||
\(412\) | 65.9827 | − | 114.285i | 0.160152 | − | 0.277392i | ||||
\(413\) | −312.273 | + | 180.291i | −0.756108 | + | 0.436539i | ||||
\(414\) | −172.572 | − | 46.2406i | −0.416841 | − | 0.111692i | ||||
\(415\) | − | 302.118i | − | 0.727994i | ||||||
\(416\) | 72.6944 | − | 11.1143i | 0.174746 | − | 0.0267170i | ||||
\(417\) | 429.783 | 1.03065 | ||||||||
\(418\) | −3.03387 | + | 11.3226i | −0.00725806 | + | 0.0270875i | ||||
\(419\) | 35.3241 | + | 61.1831i | 0.0843056 | + | 0.146022i | 0.905095 | − | 0.425209i | \(-0.139799\pi\) |
−0.820789 | + | 0.571231i | \(0.806466\pi\) | |||||||
\(420\) | −152.989 | − | 88.3282i | −0.364259 | − | 0.210305i | ||||
\(421\) | −269.923 | − | 269.923i | −0.641148 | − | 0.641148i | 0.309690 | − | 0.950838i | \(-0.399775\pi\) |
−0.950838 | + | 0.309690i | \(0.899775\pi\) | |||||||
\(422\) | 432.281 | − | 115.829i | 1.02436 | − | 0.274477i | ||||
\(423\) | 16.5307 | + | 61.6935i | 0.0390797 | + | 0.145848i | ||||
\(424\) | 17.8159 | − | 17.8159i | 0.0420186 | − | 0.0420186i | ||||
\(425\) | 160.925 | − | 278.731i | 0.378648 | − | 0.655838i | ||||
\(426\) | 18.8151 | − | 10.8629i | 0.0441669 | − | 0.0254998i | ||||
\(427\) | 707.315 | + | 189.524i | 1.65647 | + | 0.443851i | ||||
\(428\) | 188.965i | 0.441508i | ||||||||
\(429\) | 65.2453 | + | 426.746i | 0.152087 | + | 0.994746i | ||||
\(430\) | 521.030 | 1.21170 | ||||||||
\(431\) | −167.809 | + | 626.272i | −0.389348 | + | 1.45307i | 0.441848 | + | 0.897090i | \(0.354323\pi\) |
−0.831197 | + | 0.555978i | \(0.812344\pi\) | |||||||
\(432\) | 10.3923 | + | 18.0000i | 0.0240563 | + | 0.0416667i | ||||
\(433\) | 330.115 | + | 190.592i | 0.762391 | + | 0.440166i | 0.830153 | − | 0.557535i | \(-0.188253\pi\) |
−0.0677628 | + | 0.997701i | \(0.521586\pi\) | |||||||
\(434\) | 206.267 | + | 206.267i | 0.475271 | + | 0.475271i | ||||
\(435\) | −68.0250 | + | 18.2272i | −0.156379 | + | 0.0419017i | ||||
\(436\) | 73.8897 | + | 275.760i | 0.169472 | + | 0.632477i | ||||
\(437\) | 12.8730 | − | 12.8730i | 0.0294576 | − | 0.0294576i | ||||
\(438\) | −10.2656 | + | 17.7805i | −0.0234374 | + | 0.0405947i | ||||
\(439\) | 96.4945 | − | 55.7111i | 0.219805 | − | 0.126905i | −0.386055 | − | 0.922476i | \(-0.626162\pi\) |
0.605860 | + | 0.795571i | \(0.292829\pi\) | |||||||
\(440\) | 326.870 | + | 87.5846i | 0.742887 | + | 0.199056i | ||||
\(441\) | − | 53.3509i | − | 0.120977i | ||||||
\(442\) | −331.282 | + | 265.337i | −0.749506 | + | 0.600310i | ||||
\(443\) | 480.157 | 1.08388 | 0.541938 | − | 0.840418i | \(-0.317691\pi\) | ||||
0.541938 | + | 0.840418i | \(0.317691\pi\) | |||||||
\(444\) | 1.28081 | − | 4.78004i | 0.00288470 | − | 0.0107659i | ||||
\(445\) | 187.587 | + | 324.910i | 0.421544 | + | 0.730135i | ||||
\(446\) | 83.6430 | + | 48.2913i | 0.187540 | + | 0.108276i | ||||
\(447\) | 169.156 | + | 169.156i | 0.378425 | + | 0.378425i | ||||
\(448\) | 63.1493 | − | 16.9208i | 0.140958 | − | 0.0377697i | ||||
\(449\) | −105.379 | − | 393.279i | −0.234697 | − | 0.875900i | −0.978285 | − | 0.207263i | \(-0.933545\pi\) |
0.743589 | − | 0.668637i | \(-0.233122\pi\) | |||||||
\(450\) | 41.8231 | − | 41.8231i | 0.0929401 | − | 0.0929401i | ||||
\(451\) | −400.710 | + | 694.051i | −0.888493 | + | 1.53891i | ||||
\(452\) | 53.1771 | − | 30.7018i | 0.117648 | − | 0.0679243i | ||||
\(453\) | 46.4665 | + | 12.4507i | 0.102575 | + | 0.0274849i | ||||
\(454\) | 35.5873i | 0.0783861i | ||||||||
\(455\) | 392.545 | − | 534.241i | 0.862736 | − | 1.17416i | ||||
\(456\) | −2.11792 | −0.00464455 | ||||||||
\(457\) | −5.25408 | + | 19.6085i | −0.0114969 | + | 0.0429069i | −0.971436 | − | 0.237302i | \(-0.923737\pi\) |
0.959939 | + | 0.280209i | \(0.0904037\pi\) | |||||||
\(458\) | −274.910 | − | 476.159i | −0.600241 | − | 1.03965i | ||||
\(459\) | −103.890 | − | 59.9808i | −0.226339 | − | 0.130677i | ||||
\(460\) | −371.629 | − | 371.629i | −0.807889 | − | 0.807889i | ||||
\(461\) | 457.719 | − | 122.645i | 0.992882 | − | 0.266042i | 0.274421 | − | 0.961610i | \(-0.411514\pi\) |
0.718461 | + | 0.695568i | \(0.244847\pi\) | |||||||
\(462\) | 99.3321 | + | 370.713i | 0.215005 | + | 0.802408i | ||||
\(463\) | 266.154 | − | 266.154i | 0.574846 | − | 0.574846i | −0.358633 | − | 0.933479i | \(-0.616757\pi\) |
0.933479 | + | 0.358633i | \(0.116757\pi\) | |||||||
\(464\) | 13.0314 | − | 22.5710i | 0.0280849 | − | 0.0486444i | ||||
\(465\) | −236.260 | + | 136.405i | −0.508087 | + | 0.293344i | ||||
\(466\) | −548.562 | − | 146.987i | −1.17717 | − | 0.315422i | ||||
\(467\) | 231.396i | 0.495494i | 0.968825 | + | 0.247747i | \(0.0796901\pi\) | ||||
−0.968825 | + | 0.247747i | \(0.920310\pi\) | |||||||
\(468\) | −71.4257 | + | 31.3428i | −0.152619 | + | 0.0669717i | ||||
\(469\) | 323.841 | 0.690492 | ||||||||
\(470\) | −48.6283 | + | 181.483i | −0.103465 | + | 0.386135i | ||||
\(471\) | 105.043 | + | 181.940i | 0.223022 | + | 0.386285i | ||||
\(472\) | 108.080 | + | 62.3998i | 0.228982 | + | 0.132203i | ||||
\(473\) | −800.410 | − | 800.410i | −1.69220 | − | 1.69220i | ||||
\(474\) | 274.048 | − | 73.4310i | 0.578161 | − | 0.154918i | ||||
\(475\) | 1.55989 | + | 5.82159i | 0.00328398 | + | 0.0122560i | ||||
\(476\) | −266.815 | + | 266.815i | −0.560536 | + | 0.560536i | ||||
\(477\) | −13.3619 | + | 23.1435i | −0.0280124 | + | 0.0485189i | ||||
\(478\) | −528.962 | + | 305.397i | −1.10662 | + | 0.638905i | ||||
\(479\) | −81.0183 | − | 21.7088i | −0.169140 | − | 0.0453210i | 0.173255 | − | 0.984877i | \(-0.444572\pi\) |
−0.342395 | + | 0.939556i | \(0.611238\pi\) | |||||||
\(480\) | 61.1420i | 0.127379i | ||||||||
\(481\) | 17.3018 | + | 6.74824i | 0.0359705 | + | 0.0140296i | ||||
\(482\) | 157.406 | 0.326569 | ||||||||
\(483\) | 154.271 | − | 575.745i | 0.319401 | − | 1.19202i | ||||
\(484\) | −246.592 | − | 427.109i | −0.509487 | − | 0.882457i | ||||
\(485\) | −722.534 | − | 417.155i | −1.48976 | − | 0.860114i | ||||
\(486\) | −15.5885 | − | 15.5885i | −0.0320750 | − | 0.0320750i | ||||
\(487\) | −51.6346 | + | 13.8354i | −0.106026 | + | 0.0284095i | −0.311442 | − | 0.950265i | \(-0.600812\pi\) |
0.205416 | + | 0.978675i | \(0.434145\pi\) | |||||||
\(488\) | −65.5957 | − | 244.806i | −0.134417 | − | 0.501652i | ||||
\(489\) | 231.852 | − | 231.852i | 0.474135 | − | 0.474135i | ||||
\(490\) | 78.4710 | − | 135.916i | 0.160145 | − | 0.277379i | ||||
\(491\) | −755.689 | + | 436.297i | −1.53908 | + | 0.888589i | −0.540188 | + | 0.841544i | \(0.681647\pi\) |
−0.998893 | + | 0.0470443i | \(0.985020\pi\) | |||||||
\(492\) | −139.866 | − | 37.4770i | −0.284280 | − | 0.0761727i | ||||
\(493\) | 150.425i | 0.305122i | ||||||||
\(494\) | 0.873189 | − | 7.89995i | 0.00176759 | − | 0.0159918i | ||||
\(495\) | −358.928 | −0.725108 | ||||||||
\(496\) | 26.1308 | − | 97.5213i | 0.0526830 | − | 0.196616i | ||||
\(497\) | 36.2414 | + | 62.7720i | 0.0729204 | + | 0.126302i | ||||
\(498\) | −102.702 | − | 59.2950i | −0.206229 | − | 0.119066i | ||||
\(499\) | 178.607 | + | 178.607i | 0.357929 | + | 0.357929i | 0.863049 | − | 0.505120i | \(-0.168552\pi\) |
−0.505120 | + | 0.863049i | \(0.668552\pi\) | |||||||
\(500\) | −133.319 | + | 35.7228i | −0.266638 | + | 0.0714455i | ||||
\(501\) | 25.4197 | + | 94.8678i | 0.0507380 | + | 0.189357i | ||||
\(502\) | −87.6429 | + | 87.6429i | −0.174587 | + | 0.174587i | ||||
\(503\) | 290.935 | − | 503.915i | 0.578401 | − | 1.00182i | −0.417262 | − | 0.908786i | \(-0.637010\pi\) |
0.995663 | − | 0.0930331i | \(-0.0296562\pi\) | |||||||
\(504\) | −60.0526 | + | 34.6714i | −0.119152 | + | 0.0687924i | ||||
\(505\) | 230.582 | + | 61.7843i | 0.456599 | + | 0.122345i | ||||
\(506\) | 1141.80i | 2.25652i | ||||||||
\(507\) | −87.4626 | − | 279.344i | −0.172510 | − | 0.550975i | ||||
\(508\) | 318.376 | 0.626725 | ||||||||
\(509\) | −80.3135 | + | 299.734i | −0.157787 | + | 0.588868i | 0.841064 | + | 0.540936i | \(0.181930\pi\) |
−0.998851 | + | 0.0479323i | \(0.984737\pi\) | |||||||
\(510\) | −176.445 | − | 305.612i | −0.345971 | − | 0.599239i | ||||
\(511\) | −59.3203 | − | 34.2486i | −0.116087 | − | 0.0670227i | ||||
\(512\) | −16.0000 | − | 16.0000i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 2.16984 | − | 0.581408i | 0.00422972 | − | 0.00113335i | ||||
\(514\) | −64.2041 | − | 239.613i | −0.124911 | − | 0.466173i | ||||
\(515\) | −291.151 | + | 291.151i | −0.565343 | + | 0.565343i | ||||
\(516\) | 102.260 | − | 177.119i | 0.198178 | − | 0.343254i | ||||
\(517\) | 353.499 | − | 204.093i | 0.683750 | − | 0.394763i | ||||
\(518\) | 15.9474 | + | 4.27311i | 0.0307866 | + | 0.00824924i | ||||
\(519\) | 563.773i | 1.08627i | ||||||||
\(520\) | −228.063 | − | 25.2080i | −0.438583 | − | 0.0484770i | ||||
\(521\) | 400.878 | 0.769440 | 0.384720 | − | 0.923033i | \(-0.374298\pi\) | ||||
0.384720 | + | 0.923033i | \(0.374298\pi\) | |||||||
\(522\) | −7.15473 | + | 26.7018i | −0.0137064 | + | 0.0511529i | ||||
\(523\) | −255.340 | − | 442.262i | −0.488222 | − | 0.845626i | 0.511686 | − | 0.859173i | \(-0.329021\pi\) |
−0.999908 | + | 0.0135467i | \(0.995688\pi\) | |||||||
\(524\) | −153.965 | − | 88.8918i | −0.293826 | − | 0.169641i | ||||
\(525\) | 139.532 | + | 139.532i | 0.265776 | + | 0.265776i | ||||
\(526\) | −173.982 | + | 46.6183i | −0.330764 | + | 0.0886279i | ||||
\(527\) | 150.818 | + | 562.859i | 0.286181 | + | 1.06804i | ||||
\(528\) | 93.9266 | − | 93.9266i | 0.177891 | − | 0.177891i | ||||
\(529\) | 622.150 | − | 1077.60i | 1.17609 | − | 2.03704i | ||||
\(530\) | −68.0811 | + | 39.3066i | −0.128455 | + | 0.0741635i | ||||
\(531\) | −127.860 | − | 34.2599i | −0.240790 | − | 0.0645195i | ||||
\(532\) | − | 7.06591i | − | 0.0132818i | ||||||
\(533\) | 197.456 | − | 506.257i | 0.370462 | − | 0.949826i | ||||
\(534\) | 147.267 | 0.275780 | ||||||||
\(535\) | 152.599 | − | 569.508i | 0.285232 | − | 1.06450i | ||||
\(536\) | −56.0417 | − | 97.0671i | −0.104555 | − | 0.181095i | ||||
\(537\) | 211.343 | + | 122.019i | 0.393562 | + | 0.227223i | ||||
\(538\) | 208.253 | + | 208.253i | 0.387087 | + | 0.387087i | ||||
\(539\) | −329.342 | + | 88.2469i | −0.611024 | + | 0.163723i | ||||
\(540\) | −16.7846 | − | 62.6411i | −0.0310826 | − | 0.116002i | ||||
\(541\) | 75.0411 | − | 75.0411i | 0.138708 | − | 0.138708i | −0.634343 | − | 0.773051i | \(-0.718729\pi\) |
0.773051 | + | 0.634343i | \(0.218729\pi\) | |||||||
\(542\) | −2.67953 | + | 4.64108i | −0.00494378 | + | 0.00856288i | ||||
\(543\) | 84.1221 | − | 48.5679i | 0.154921 | − | 0.0894437i | ||||
\(544\) | 126.148 | + | 33.8011i | 0.231889 | + | 0.0621345i | ||||
\(545\) | − | 890.761i | − | 1.63442i | ||||||
\(546\) | −104.568 | − | 238.294i | −0.191516 | − | 0.436437i | ||||
\(547\) | −328.719 | −0.600950 | −0.300475 | − | 0.953790i | \(-0.597145\pi\) | ||||
−0.300475 | + | 0.953790i | \(0.597145\pi\) | |||||||
\(548\) | 56.9662 | − | 212.601i | 0.103953 | − | 0.387957i | ||||
\(549\) | 134.408 | + | 232.802i | 0.244823 | + | 0.424046i | ||||
\(550\) | −327.358 | − | 189.000i | −0.595196 | − | 0.343637i | ||||
\(551\) | −1.99181 | − | 1.99181i | −0.00361491 | − | 0.00361491i | ||||
\(552\) | −199.269 | + | 53.3941i | −0.360995 | + | 0.0967284i | ||||
\(553\) | 244.985 | + | 914.295i | 0.443010 | + | 1.65334i | ||||
\(554\) | −68.7460 | + | 68.7460i | −0.124090 | + | 0.124090i | ||||
\(555\) | −7.72026 | + | 13.3719i | −0.0139104 | + | 0.0240935i | ||||
\(556\) | 429.783 | − | 248.135i | 0.772991 | − | 0.446286i | ||||
\(557\) | −331.165 | − | 88.7354i | −0.594551 | − | 0.159309i | −0.0510186 | − | 0.998698i | \(-0.516247\pi\) |
−0.543532 | + | 0.839388i | \(0.682913\pi\) | |||||||
\(558\) | 107.086i | 0.191910i | ||||||||
\(559\) | 618.505 | + | 454.459i | 1.10645 | + | 0.812986i | ||||
\(560\) | −203.985 | −0.364259 | ||||||||
\(561\) | −198.427 | + | 740.538i | −0.353702 | + | 1.32003i | ||||
\(562\) | −19.5583 | − | 33.8760i | −0.0348013 | − | 0.0602776i | ||||
\(563\) | −314.882 | − | 181.797i | −0.559293 | − | 0.322908i | 0.193569 | − | 0.981087i | \(-0.437994\pi\) |
−0.752862 | + | 0.658179i | \(0.771327\pi\) | |||||||
\(564\) | 52.1495 | + | 52.1495i | 0.0924636 | + | 0.0924636i | ||||
\(565\) | −185.059 | + | 49.5865i | −0.327539 | + | 0.0877637i | ||||
\(566\) | −46.2937 | − | 172.770i | −0.0817910 | − | 0.305248i | ||||
\(567\) | 52.0071 | − | 52.0071i | 0.0917233 | − | 0.0917233i | ||||
\(568\) | 12.5434 | − | 21.7258i | 0.0220835 | − | 0.0382497i | ||||
\(569\) | 548.662 | − | 316.770i | 0.964256 | − | 0.556714i | 0.0667758 | − | 0.997768i | \(-0.478729\pi\) |
0.897480 | + | 0.441054i | \(0.145395\pi\) | |||||||
\(570\) | 6.38302 | + | 1.71032i | 0.0111983 | + | 0.00300057i | ||||
\(571\) | − | 54.2364i | − | 0.0949849i | −0.998872 | − | 0.0474925i | \(-0.984877\pi\) | ||
0.998872 | − | 0.0474925i | \(-0.0151230\pi\) | |||||||
\(572\) | 311.627 | + | 389.076i | 0.544803 | + | 0.680204i | ||||
\(573\) | −279.264 | −0.487371 | ||||||||
\(574\) | 125.033 | − | 466.629i | 0.217827 | − | 0.812942i | ||||
\(575\) | 293.532 | + | 508.413i | 0.510491 | + | 0.884196i | ||||
\(576\) | 20.7846 | + | 12.0000i | 0.0360844 | + | 0.0208333i | ||||
\(577\) | −704.420 | − | 704.420i | −1.22083 | − | 1.22083i | −0.967337 | − | 0.253495i | \(-0.918420\pi\) |
−0.253495 | − | 0.967337i | \(-0.581580\pi\) | |||||||
\(578\) | −333.299 | + | 89.3071i | −0.576641 | + | 0.154511i | ||||
\(579\) | −75.2257 | − | 280.746i | −0.129923 | − | 0.484881i | ||||
\(580\) | −57.5015 | + | 57.5015i | −0.0991405 | + | 0.0991405i | ||||
\(581\) | 197.823 | − | 342.640i | 0.340488 | − | 0.589742i | ||||
\(582\) | −283.616 | + | 163.746i | −0.487312 | + | 0.281350i | ||||
\(583\) | 164.970 | + | 44.2035i | 0.282967 | + | 0.0758207i | ||||
\(584\) | 23.7073i | 0.0405947i | ||||||||
\(585\) | 240.575 | − | 36.7816i | 0.411240 | − | 0.0628745i | ||||
\(586\) | −526.959 | −0.899248 | ||||||||
\(587\) | 243.773 | − | 909.773i | 0.415286 | − | 1.54987i | −0.368975 | − | 0.929439i | \(-0.620291\pi\) |
0.784262 | − | 0.620430i | \(-0.213042\pi\) | |||||||
\(588\) | −30.8022 | − | 53.3509i | −0.0523846 | − | 0.0907329i | ||||
\(589\) | −9.44995 | − | 5.45593i | −0.0160441 | − | 0.00926304i | ||||
\(590\) | −275.342 | − | 275.342i | −0.466681 | − | 0.466681i | ||||
\(591\) | −338.282 | + | 90.6424i | −0.572389 | + | 0.153371i | ||||
\(592\) | −1.47895 | − | 5.51952i | −0.00249823 | − | 0.00932351i | ||||
\(593\) | −457.589 | + | 457.589i | −0.771650 | + | 0.771650i | −0.978395 | − | 0.206745i | \(-0.933713\pi\) |
0.206745 | + | 0.978395i | \(0.433713\pi\) | |||||||
\(594\) | −70.4449 | + | 122.014i | −0.118594 | + | 0.205411i | ||||
\(595\) | 1019.60 | − | 588.666i | 1.71361 | − | 0.989354i | ||||
\(596\) | 266.818 | + | 71.4937i | 0.447682 | + | 0.119956i | ||||
\(597\) | − | 161.655i | − | 0.270779i | ||||||
\(598\) | −117.007 | − | 765.300i | −0.195664 | − | 1.27977i | ||||
\(599\) | −78.9882 | −0.131867 | −0.0659334 | − | 0.997824i | \(-0.521002\pi\) | ||||
−0.0659334 | + | 0.997824i | \(0.521002\pi\) | |||||||
\(600\) | 17.6765 | − | 65.9696i | 0.0294608 | − | 0.109949i | ||||
\(601\) | 182.344 | + | 315.829i | 0.303401 | + | 0.525506i | 0.976904 | − | 0.213678i | \(-0.0685445\pi\) |
−0.673503 | + | 0.739185i | \(0.735211\pi\) | |||||||
\(602\) | 590.915 | + | 341.165i | 0.981587 | + | 0.566719i | ||||
\(603\) | 84.0626 | + | 84.0626i | 0.139407 | + | 0.139407i | ||||
\(604\) | 53.6549 | − | 14.3768i | 0.0888325 | − | 0.0238026i | ||||
\(605\) | 398.271 | + | 1486.37i | 0.658298 | + | 2.45680i | ||||
\(606\) | 66.2581 | − | 66.2581i | 0.109337 | − | 0.109337i | ||||
\(607\) | −295.511 | + | 511.839i | −0.486838 | + | 0.843228i | −0.999886 | − | 0.0151322i | \(-0.995183\pi\) |
0.513048 | + | 0.858360i | \(0.328516\pi\) | |||||||
\(608\) | −2.11792 | + | 1.22278i | −0.00348341 | + | 0.00201115i | ||||
\(609\) | −89.0840 | − | 23.8700i | −0.146279 | − | 0.0391954i | ||||
\(610\) | 790.774i | 1.29635i | ||||||||
\(611\) | −216.021 | + | 173.020i | −0.353554 | + | 0.283175i | ||||
\(612\) | −138.520 | −0.226339 | ||||||||
\(613\) | −112.817 | + | 421.040i | −0.184041 | + | 0.686852i | 0.810792 | + | 0.585334i | \(0.199037\pi\) |
−0.994834 | + | 0.101518i | \(0.967630\pi\) | |||||||
\(614\) | 259.830 | + | 450.039i | 0.423176 | + | 0.732962i | ||||
\(615\) | 391.266 | + | 225.898i | 0.636206 | + | 0.367313i | ||||
\(616\) | 313.363 | + | 313.363i | 0.508706 | + | 0.508706i | ||||
\(617\) | −288.834 | + | 77.3930i | −0.468127 | + | 0.125434i | −0.485169 | − | 0.874420i | \(-0.661242\pi\) |
0.0170417 | + | 0.999855i | \(0.494575\pi\) | |||||||
\(618\) | 41.8314 | + | 156.117i | 0.0676883 | + | 0.252616i | ||||
\(619\) | 84.5481 | − | 84.5481i | 0.136588 | − | 0.136588i | −0.635507 | − | 0.772095i | \(-0.719209\pi\) |
0.772095 | + | 0.635507i | \(0.219209\pi\) | |||||||
\(620\) | −157.507 | + | 272.810i | −0.254043 | + | 0.440016i | ||||
\(621\) | 189.498 | − | 109.406i | 0.305149 | − | 0.176178i | ||||
\(622\) | 487.450 | + | 130.612i | 0.783682 | + | 0.209987i | ||||
\(623\) | 491.319i | 0.788635i | ||||||||
\(624\) | −53.3299 | + | 72.5804i | −0.0854647 | + | 0.116315i | ||||
\(625\) | 779.173 | 1.24668 | ||||||||
\(626\) | 7.17966 | − | 26.7948i | 0.0114691 | − | 0.0428033i | ||||
\(627\) | −7.17821 | − | 12.4330i | −0.0114485 | − | 0.0198294i | ||||
\(628\) | 210.086 | + | 121.293i | 0.334532 | + | 0.193142i | ||||
\(629\) | 23.3208 | + | 23.3208i | 0.0370759 | + | 0.0370759i | ||||
\(630\) | 208.987 | − | 55.9978i | 0.331725 | − | 0.0888854i | ||||
\(631\) | −195.299 | − | 728.867i | −0.309508 | − | 1.15510i | −0.928995 | − | 0.370092i | \(-0.879326\pi\) |
0.619488 | − | 0.785006i | \(-0.287340\pi\) | |||||||
\(632\) | 231.653 | − | 231.653i | 0.366539 | − | 0.366539i | ||||
\(633\) | −274.055 | + | 474.677i | −0.432946 | + | 0.749885i | ||||
\(634\) | 242.142 | − | 139.801i | 0.381927 | − | 0.220506i | ||||
\(635\) | −959.529 | − | 257.105i | −1.51107 | − | 0.404890i | ||||
\(636\) | 30.8580i | 0.0485189i | ||||||||
\(637\) | 211.702 | − | 92.8981i | 0.332341 | − | 0.145837i | ||||
\(638\) | 176.668 | 0.276909 | ||||||||
\(639\) | −6.88680 | + | 25.7019i | −0.0107775 | + | 0.0402221i | ||||
\(640\) | 35.3003 | + | 61.1420i | 0.0551568 | + | 0.0955343i | ||||
\(641\) | 326.603 | + | 188.565i | 0.509522 | + | 0.294172i | 0.732637 | − | 0.680620i | \(-0.238289\pi\) |
−0.223115 | + | 0.974792i | \(0.571623\pi\) | |||||||
\(642\) | −163.649 | − | 163.649i | −0.254905 | − | 0.254905i | ||||
\(643\) | −1166.74 | + | 312.627i | −1.81452 | + | 0.486200i | −0.996086 | − | 0.0883945i | \(-0.971826\pi\) |
−0.818438 | + | 0.574595i | \(0.805160\pi\) | |||||||
\(644\) | −178.136 | − | 664.814i | −0.276609 | − | 1.03232i | ||||
\(645\) | −451.226 | + | 451.226i | −0.699575 | + | 0.699575i | ||||
\(646\) | 7.05746 | − | 12.2239i | 0.0109249 | − | 0.0189224i | ||||
\(647\) | 219.028 | − | 126.456i | 0.338529 | − | 0.195450i | −0.321093 | − | 0.947048i | \(-0.604050\pi\) |
0.659621 | + | 0.751598i | \(0.270717\pi\) | |||||||
\(648\) | −24.5885 | − | 6.58846i | −0.0379452 | − | 0.0101674i | ||||
\(649\) | 845.962i | 1.30349i | ||||||||
\(650\) | 238.783 | + | 93.1328i | 0.367358 | + | 0.143281i | ||||
\(651\) | −357.266 | −0.548795 | ||||||||
\(652\) | 97.9922 | − | 365.712i | 0.150295 | − | 0.560908i | ||||
\(653\) | −216.293 | − | 374.631i | −0.331230 | − | 0.573707i | 0.651523 | − | 0.758629i | \(-0.274130\pi\) |
−0.982753 | + | 0.184921i | \(0.940797\pi\) | |||||||
\(654\) | −302.806 | − | 174.825i | −0.463006 | − | 0.267316i | ||||
\(655\) | 392.239 | + | 392.239i | 0.598837 | + | 0.598837i | ||||
\(656\) | −161.503 | + | 43.2747i | −0.246194 | + | 0.0659675i | ||||
\(657\) | −6.50811 | − | 24.2886i | −0.00990580 | − | 0.0369690i | ||||
\(658\) | −173.984 | + | 173.984i | −0.264413 | + | 0.264413i | ||||
\(659\) | −604.428 | + | 1046.90i | −0.917190 | + | 1.58862i | −0.113527 | + | 0.993535i | \(0.536215\pi\) |
−0.803663 | + | 0.595085i | \(0.797118\pi\) | |||||||
\(660\) | −358.928 | + | 207.227i | −0.543831 | + | 0.313981i | ||||
\(661\) | −1018.51 | − | 272.908i | −1.54086 | − | 0.412872i | −0.614316 | − | 0.789060i | \(-0.710568\pi\) |
−0.926543 | + | 0.376188i | \(0.877235\pi\) | |||||||
\(662\) | 389.066i | 0.587713i | ||||||||
\(663\) | 57.1098 | − | 516.687i | 0.0861385 | − | 0.779316i | ||||
\(664\) | −136.936 | −0.206229 | ||||||||
\(665\) | −5.70608 | + | 21.2954i | −0.00858057 | + | 0.0320231i | ||||
\(666\) | 3.03043 | + | 5.24885i | 0.00455019 | + | 0.00788116i | ||||
\(667\) | −237.620 | − | 137.190i | −0.356251 | − | 0.205682i | ||||
\(668\) | 80.1917 | + | 80.1917i | 0.120047 | + | 0.120047i | ||||
\(669\) | −114.258 | + | 30.6154i | −0.170790 | + | 0.0457630i | ||||
\(670\) | 90.5131 | + | 337.799i | 0.135094 | + | 0.504178i | ||||
\(671\) | 1214.79 | − | 1214.79i | 1.81042 | − | 1.81042i | ||||
\(672\) | −40.0351 | + | 69.3428i | −0.0595760 | + | 0.103189i | ||||
\(673\) | 688.514 | − | 397.514i | 1.02305 | − | 0.590659i | 0.108065 | − | 0.994144i | \(-0.465534\pi\) |
0.914986 | + | 0.403484i | \(0.132201\pi\) | |||||||
\(674\) | 855.067 | + | 229.114i | 1.26865 | + | 0.339932i | ||||
\(675\) | 72.4397i | 0.107318i | ||||||||
\(676\) | −248.742 | − | 228.848i | −0.367962 | − | 0.338532i | ||||
\(677\) | 642.236 | 0.948649 | 0.474325 | − | 0.880350i | \(-0.342692\pi\) | ||||
0.474325 | + | 0.880350i | \(0.342692\pi\) | |||||||
\(678\) | −19.4642 | + | 72.6412i | −0.0287082 | + | 0.107140i | ||||
\(679\) | −546.297 | − | 946.214i | −0.804561 | − | 1.39354i | ||||
\(680\) | −352.890 | − | 203.741i | −0.518956 | − | 0.299619i | ||||
\(681\) | −30.8195 | − | 30.8195i | −0.0452562 | − | 0.0452562i | ||||
\(682\) | 661.055 | − | 177.129i | 0.969288 | − | 0.259720i | ||||
\(683\) | 168.964 | + | 630.582i | 0.247385 | + | 0.923253i | 0.972170 | + | 0.234277i | \(0.0752724\pi\) |
−0.724785 | + | 0.688975i | \(0.758061\pi\) | |||||||
\(684\) | 1.83417 | − | 1.83417i | 0.00268153 | − | 0.00268153i | ||||
\(685\) | −343.372 | + | 594.737i | −0.501272 | + | 0.868229i | ||||
\(686\) | −312.437 | + | 180.386i | −0.455448 | + | 0.262953i | ||||
\(687\) | 650.445 | + | 174.286i | 0.946790 | + | 0.253692i | ||||
\(688\) | − | 236.159i | − | 0.343254i | ||||||
\(689\) | −115.102 | − | 12.7223i | −0.167057 | − | 0.0184649i | ||||
\(690\) | 643.681 | 0.932870 | ||||||||
\(691\) | −199.113 | + | 743.100i | −0.288152 | + | 1.07540i | 0.658353 | + | 0.752709i | \(0.271253\pi\) |
−0.946505 | + | 0.322689i | \(0.895413\pi\) | |||||||
\(692\) | 325.495 | + | 563.773i | 0.470368 | + | 0.814701i | ||||
\(693\) | −407.071 | − | 235.022i | −0.587403 | − | 0.339138i | ||||
\(694\) | 105.688 | + | 105.688i | 0.152288 | + | 0.152288i | ||||
\(695\) | −1495.67 | + | 400.764i | −2.15204 | + | 0.576638i | ||||
\(696\) | 8.26157 | + | 30.8326i | 0.0118701 | + | 0.0442997i | ||||
\(697\) | 682.375 | − | 682.375i | 0.979017 | − | 0.979017i | ||||
\(698\) | 306.359 | − | 530.629i | 0.438909 | − | 0.760213i | ||||
\(699\) | 602.363 | − | 347.775i | 0.861750 | − | 0.497532i | ||||
\(700\) | 220.092 | + | 58.9734i | 0.314417 | + | 0.0842477i | ||||
\(701\) | 415.401i | 0.592584i | 0.955097 | + | 0.296292i | \(0.0957502\pi\) | ||||
−0.955097 | + | 0.296292i | \(0.904250\pi\) | |||||||
\(702\) | 34.7128 | − | 89.0001i | 0.0494485 | − | 0.126781i | ||||
\(703\) | −0.617590 | −0.000878507 | ||||||||
\(704\) | 39.6980 | − | 148.155i | 0.0563893 | − | 0.210448i | ||||
\(705\) | −115.056 | − | 199.283i | −0.163200 | − | 0.282670i | ||||
\(706\) | −720.363 | − | 415.902i | −1.02034 | − | 0.589096i | ||||
\(707\) | 221.054 | + | 221.054i | 0.312665 | + | 0.312665i | ||||
\(708\) | −147.640 | + | 39.5599i | −0.208530 | + | 0.0558756i | ||||
\(709\) | 81.1586 | + | 302.888i | 0.114469 | + | 0.427204i | 0.999247 | − | 0.0388092i | \(-0.0123565\pi\) |
−0.884778 | + | 0.466014i | \(0.845690\pi\) | |||||||
\(710\) | −55.3483 | + | 55.3483i | −0.0779553 | + | 0.0779553i | ||||
\(711\) | −173.740 | + | 300.926i | −0.244359 | + | 0.423243i | ||||
\(712\) | 147.267 | − | 85.0245i | 0.206835 | − | 0.119416i | ||||
\(713\) | −1026.67 | − | 275.095i | −1.43993 | − | 0.385828i | ||||
\(714\) | − | 462.137i | − | 0.647251i | ||||||
\(715\) | −624.989 | − | 1424.26i | −0.874111 | − | 1.99197i | ||||
\(716\) | 281.790 | 0.393562 | ||||||||
\(717\) | 193.614 | − | 722.576i | 0.270033 | − | 1.00778i | ||||
\(718\) | 172.896 | + | 299.464i | 0.240802 | + | 0.417081i | ||||
\(719\) | 205.104 | + | 118.417i | 0.285263 | + | 0.164697i | 0.635804 | − | 0.771851i | \(-0.280669\pi\) |
−0.350541 | + | 0.936547i | \(0.614002\pi\) | |||||||
\(720\) | −52.9505 | − | 52.9505i | −0.0735423 | − | 0.0735423i | ||||
\(721\) | −520.846 | + | 139.560i | −0.722393 | + | 0.193565i | ||||
\(722\) | −132.067 | − | 492.880i | −0.182918 | − | 0.682659i | ||||
\(723\) | −136.318 | + | 136.318i | −0.188545 | + | 0.188545i | ||||
\(724\) | 56.0814 | − | 97.1359i | 0.0774605 | − | 0.134166i | ||||
\(725\) | 78.6658 | − | 45.4177i | 0.108504 | − | 0.0626451i | ||||
\(726\) | 583.442 | + | 156.333i | 0.803639 | + | 0.215334i | ||||
\(727\) | − | 919.030i | − | 1.26414i | −0.774911 | − | 0.632070i | \(-0.782206\pi\) | ||
0.774911 | − | 0.632070i | \(-0.217794\pi\) | |||||||
\(728\) | −242.147 | − | 177.922i | −0.332619 | − | 0.244399i | ||||
\(729\) | 27.0000 | 0.0370370 | ||||||||
\(730\) | 19.1449 | − | 71.4496i | 0.0262258 | − | 0.0978762i | ||||
\(731\) | 681.514 | + | 1180.42i | 0.932303 | + | 1.61480i | ||||
\(732\) | 268.816 | + | 155.201i | 0.367235 | + | 0.212023i | ||||
\(733\) | 709.566 | + | 709.566i | 0.968030 | + | 0.968030i | 0.999505 | − | 0.0314750i | \(-0.0100205\pi\) |
−0.0314750 | + | 0.999505i | \(0.510020\pi\) | |||||||
\(734\) | −471.587 | + | 126.361i | −0.642489 | + | 0.172154i | ||||
\(735\) | 49.7486 | + | 185.664i | 0.0676852 | + | 0.252605i | ||||
\(736\) | −168.442 | + | 168.442i | −0.228862 | + | 0.228862i | ||||
\(737\) | 379.882 | − | 657.976i | 0.515444 | − | 0.892776i | ||||
\(738\) | 153.584 | − | 88.6715i | 0.208108 | − | 0.120151i | ||||
\(739\) | 118.782 | + | 31.8276i | 0.160734 | + | 0.0430685i | 0.338289 | − | 0.941042i | \(-0.390152\pi\) |
−0.177555 | + | 0.984111i | \(0.556819\pi\) | |||||||
\(740\) | 17.8292i | 0.0240935i | ||||||||
\(741\) | 6.08536 | + | 7.59776i | 0.00821236 | + | 0.0102534i | ||||
\(742\) | −102.950 | −0.138747 | ||||||||
\(743\) | 344.461 | − | 1285.55i | 0.463609 | − | 1.73021i | −0.197852 | − | 0.980232i | \(-0.563396\pi\) |
0.661461 | − | 0.749980i | \(-0.269937\pi\) | |||||||
\(744\) | 61.8260 | + | 107.086i | 0.0830995 | + | 0.143933i | ||||
\(745\) | −746.408 | − | 430.939i | −1.00189 | − | 0.578441i | ||||
\(746\) | −446.582 | − | 446.582i | −0.598635 | − | 0.598635i | ||||
\(747\) | 140.293 | − | 37.5915i | 0.187809 | − | 0.0503233i | ||||
\(748\) | 229.123 | + | 855.100i | 0.306315 | + | 1.14318i | ||||
\(749\) | 545.974 | − | 545.974i | 0.728938 | − | 0.728938i | ||||
\(750\) | 84.5209 | − | 146.395i | 0.112695 | − | 0.195193i | ||||
\(751\) | −1177.85 | + | 680.031i | −1.56837 | + | 0.905501i | −0.572014 | + | 0.820244i | \(0.693838\pi\) |
−0.996359 | + | 0.0852568i | \(0.972829\pi\) | |||||||
\(752\) | 82.2580 | + | 22.0410i | 0.109386 | + | 0.0293098i | ||||
\(753\) | − | 151.802i | − | 0.201596i | ||||||
\(754\) | −118.414 | + | 18.1043i | −0.157047 | + | 0.0240110i | ||||
\(755\) | −173.316 | −0.229558 | ||||||||
\(756\) | 21.9808 | − | 82.0334i | 0.0290751 | − | 0.108510i | ||||
\(757\) | 541.869 | + | 938.545i | 0.715812 | + | 1.23982i | 0.962646 | + | 0.270764i | \(0.0872764\pi\) |
−0.246834 | + | 0.969058i | \(0.579390\pi\) | |||||||
\(758\) | 274.559 | + | 158.517i | 0.362215 | + | 0.209125i | ||||
\(759\) | −988.825 | − | 988.825i | −1.30280 | − | 1.30280i | ||||
\(760\) | 7.37047 | − | 1.97491i | 0.00969799 | − | 0.00259857i | ||||
\(761\) | −301.591 | − | 1125.55i | −0.396309 | − | 1.47905i | −0.819538 | − | 0.573024i | \(-0.805770\pi\) |
0.423229 | − | 0.906023i | \(-0.360897\pi\) | |||||||
\(762\) | −275.722 | + | 275.722i | −0.361840 | + | 0.361840i | ||||
\(763\) | 583.261 | − | 1010.24i | 0.764431 | − | 1.32403i | ||||
\(764\) | −279.264 | + | 161.233i | −0.365528 | + | 0.211038i | ||||
\(765\) | 417.473 |