Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,6,Mod(193,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.193");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.q (of order \(3\), degree \(2\), not 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: | \(53.8889634572\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 703x^{6} + 2770x^{5} + 427565x^{4} + 718170x^{3} + 42175732x^{2} - 40929504x + 3559792896 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{3}\cdot 7 \) |
Twist minimal: | no (minimal twist has level 84) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 193.4 | ||
Root | \(-11.2416 + 19.4709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 336.193 |
Dual form | 336.6.q.i.289.4 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | 0 | ||||||||
\(3\) | −4.50000 | + | 7.79423i | −0.288675 | + | 0.500000i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 46.4128 | + | 80.3893i | 0.830257 | + | 1.43805i | 0.897834 | + | 0.440333i | \(0.145140\pi\) |
−0.0675775 | + | 0.997714i | \(0.521527\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 118.369 | − | 52.8745i | 0.913049 | − | 0.407851i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −40.5000 | − | 70.1481i | −0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 70.3812 | − | 121.904i | 0.175378 | − | 0.303763i | −0.764914 | − | 0.644132i | \(-0.777219\pi\) |
0.940292 | + | 0.340369i | \(0.110552\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1111.24 | −1.82369 | −0.911844 | − | 0.410537i | \(-0.865341\pi\) | ||||
−0.911844 | + | 0.410537i | \(0.865341\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −835.430 | −0.958698 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −27.4435 | + | 47.5335i | −0.0230312 | + | 0.0398912i | −0.877311 | − | 0.479922i | \(-0.840665\pi\) |
0.854280 | + | 0.519813i | \(0.173998\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −855.929 | − | 1482.51i | −0.543943 | − | 0.942138i | −0.998673 | − | 0.0515079i | \(-0.983597\pi\) |
0.454729 | − | 0.890630i | \(-0.349736\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −120.546 | + | 1160.53i | −0.0596490 | + | 0.574261i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1643.95 | − | 2847.41i | −0.647993 | − | 1.12236i | −0.983602 | − | 0.180355i | \(-0.942275\pi\) |
0.335609 | − | 0.942001i | \(-0.391058\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2745.79 | + | 4755.85i | −0.878653 | + | 1.52187i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3790.72 | −0.837003 | −0.418501 | − | 0.908216i | \(-0.637445\pi\) | ||||
−0.418501 | + | 0.908216i | \(0.637445\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2423.66 | + | 4197.90i | −0.452968 | + | 0.784563i | −0.998569 | − | 0.0534817i | \(-0.982968\pi\) |
0.545601 | + | 0.838045i | \(0.316301\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 633.431 | + | 1097.13i | 0.101254 | + | 0.175378i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 9744.39 | + | 7061.57i | 1.34457 | + | 0.974386i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5683.35 | + | 9843.86i | 0.682496 | + | 1.18212i | 0.974217 | + | 0.225615i | \(0.0724391\pi\) |
−0.291720 | + | 0.956504i | \(0.594228\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5000.59 | − | 8661.28i | 0.526453 | − | 0.911844i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −10385.6 | −0.964881 | −0.482440 | − | 0.875929i | \(-0.660249\pi\) | ||||
−0.482440 | + | 0.875929i | \(0.660249\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7137.16 | −0.588646 | −0.294323 | − | 0.955706i | \(-0.595094\pi\) | ||||
−0.294323 | + | 0.955706i | \(0.595094\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3759.43 | − | 6511.53i | 0.276752 | − | 0.479349i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8207.53 | − | 14215.9i | −0.541961 | − | 0.938704i | −0.998791 | − | 0.0491499i | \(-0.984349\pi\) |
0.456831 | − | 0.889554i | \(-0.348985\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 11215.6 | − | 12517.4i | 0.667315 | − | 0.744775i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −246.991 | − | 427.801i | −0.0132971 | − | 0.0230312i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 10487.2 | − | 18164.3i | 0.512824 | − | 0.888238i | −0.487065 | − | 0.873366i | \(-0.661933\pi\) |
0.999889 | − | 0.0148720i | \(-0.00473407\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 13066.3 | 0.582435 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 15406.7 | 0.628092 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −18106.0 | + | 31360.5i | −0.677161 | + | 1.17288i | 0.298672 | + | 0.954356i | \(0.403456\pi\) |
−0.975832 | + | 0.218521i | \(0.929877\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2474.35 | − | 4285.70i | −0.0851405 | − | 0.147468i | 0.820311 | − | 0.571918i | \(-0.193801\pi\) |
−0.905451 | + | 0.424451i | \(0.860467\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −8503.00 | − | 6161.96i | −0.269911 | − | 0.195599i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −51575.9 | − | 89332.0i | −1.51413 | − | 2.62255i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11482.8 | + | 19888.8i | −0.312507 | + | 0.541279i | −0.978905 | − | 0.204318i | \(-0.934502\pi\) |
0.666397 | + | 0.745597i | \(0.267836\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 29591.2 | 0.748238 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 26341.8 | 0.620154 | 0.310077 | − | 0.950711i | \(-0.399645\pi\) | ||||
0.310077 | + | 0.950711i | \(0.399645\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −27693.7 | + | 47966.9i | −0.608238 | + | 1.05350i | 0.383293 | + | 0.923627i | \(0.374790\pi\) |
−0.991531 | + | 0.129872i | \(0.958543\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −24712.1 | − | 42802.6i | −0.507291 | − | 0.878653i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1885.36 | − | 18151.0i | 0.0362383 | − | 0.348879i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −24978.3 | − | 43263.7i | −0.450293 | − | 0.779930i | 0.548111 | − | 0.836406i | \(-0.315347\pi\) |
−0.998404 | + | 0.0564752i | \(0.982014\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3280.50 | + | 5681.99i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −44858.9 | −0.714749 | −0.357374 | − | 0.933961i | \(-0.616328\pi\) | ||||
−0.357374 | + | 0.933961i | \(0.616328\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5094.91 | −0.0764873 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 17058.2 | − | 29545.8i | 0.241622 | − | 0.418501i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −63972.5 | − | 110804.i | −0.856087 | − | 1.48279i | −0.875633 | − | 0.482978i | \(-0.839555\pi\) |
0.0195454 | − | 0.999809i | \(-0.493778\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −131537. | + | 58756.4i | −1.66512 | + | 0.743793i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −21812.9 | − | 37781.1i | −0.261521 | − | 0.452968i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 79452.1 | − | 137615.i | 0.903226 | − | 1.56443i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −65685.9 | −0.708831 | −0.354415 | − | 0.935088i | \(-0.615320\pi\) | ||||
−0.354415 | + | 0.935088i | \(0.615320\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −11401.8 | −0.116919 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −87891.4 | + | 152232.i | −0.857320 | + | 1.48492i | 0.0171565 | + | 0.999853i | \(0.494539\pi\) |
−0.874476 | + | 0.485068i | \(0.838795\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −77054.7 | − | 133463.i | −0.715659 | − | 1.23956i | −0.962705 | − | 0.270554i | \(-0.912793\pi\) |
0.247046 | − | 0.969004i | \(-0.420540\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −98889.2 | + | 44173.0i | −0.875338 | + | 0.391006i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 91681.0 | + | 158796.i | 0.774141 | + | 1.34085i | 0.935276 | + | 0.353919i | \(0.115151\pi\) |
−0.161135 | + | 0.986932i | \(0.551515\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 67322.3 | − | 116606.i | 0.542741 | − | 0.940055i | −0.456004 | − | 0.889978i | \(-0.650720\pi\) |
0.998745 | − | 0.0500775i | \(-0.0159468\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −102300. | −0.788079 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 176955. | 1.30367 | 0.651833 | − | 0.758362i | \(-0.274000\pi\) | ||||
0.651833 | + | 0.758362i | \(0.274000\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 152601. | − | 264313.i | 1.07600 | − | 1.86369i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 45005.3 | + | 77951.5i | 0.303948 | + | 0.526453i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −735.153 | + | 7077.57i | −0.00475894 | + | 0.0458159i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 70618.5 | + | 122315.i | 0.438485 | + | 0.759479i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 46735.4 | − | 80948.0i | 0.278537 | − | 0.482440i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −219679. | −1.25752 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −144432. | −0.794608 | −0.397304 | − | 0.917687i | \(-0.630054\pi\) | ||||
−0.397304 | + | 0.917687i | \(0.630054\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 32117.2 | − | 55628.6i | 0.169927 | − | 0.294323i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −118754. | − | 205688.i | −0.604602 | − | 1.04720i | −0.992114 | − | 0.125337i | \(-0.959999\pi\) |
0.387512 | − | 0.921865i | \(-0.373335\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −179703. | − | 130227.i | −0.880899 | − | 0.638370i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 33834.9 | + | 58603.8i | 0.159783 | + | 0.276752i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 48101.6 | − | 83314.5i | 0.218957 | − | 0.379244i | −0.735533 | − | 0.677489i | \(-0.763068\pi\) |
0.954489 | + | 0.298245i | \(0.0964013\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 391373. | 1.71812 | 0.859060 | − | 0.511874i | \(-0.171049\pi\) | ||||
0.859060 | + | 0.511874i | \(0.171049\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 147736. | 0.625802 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −78210.6 | + | 135465.i | −0.319835 | + | 0.553970i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −175938. | − | 304733.i | −0.694927 | − | 1.20365i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 47093.7 | + | 143745.i | 0.179750 | + | 0.548656i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 40339.4 | + | 69869.9i | 0.148855 | + | 0.257825i | 0.930805 | − | 0.365517i | \(-0.119108\pi\) |
−0.781949 | + | 0.623342i | \(0.785775\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 47841.3 | − | 82863.6i | 0.170750 | − | 0.295748i | −0.767932 | − | 0.640531i | \(-0.778714\pi\) |
0.938682 | + | 0.344783i | \(0.112048\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4445.84 | 0.0153541 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −449955. | −1.50432 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 97812.7 | − | 169417.i | 0.316699 | − | 0.548538i | −0.663098 | − | 0.748532i | \(-0.730759\pi\) |
0.979797 | + | 0.199994i | \(0.0640923\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 94384.5 | + | 163479.i | 0.296079 | + | 0.512824i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −345149. | − | 250123.i | −1.04940 | − | 0.760481i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 18822.8 | + | 32602.1i | 0.0554902 | + | 0.0961118i | 0.892436 | − | 0.451174i | \(-0.148995\pi\) |
−0.836946 | + | 0.547286i | \(0.815661\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −58798.5 | + | 101842.i | −0.168134 | + | 0.291217i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −646778. | −1.79458 | −0.897292 | − | 0.441437i | \(-0.854469\pi\) | ||||
−0.897292 | + | 0.441437i | \(0.854469\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 863568. | 2.32584 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −69330.3 | + | 120084.i | −0.181314 | + | 0.314046i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 193454. | + | 335072.i | 0.491431 | + | 0.851184i | 0.999951 | − | 0.00986616i | \(-0.00314055\pi\) |
−0.508520 | + | 0.861050i | \(0.669807\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −73554.0 | + | 708129.i | −0.181556 | + | 1.74790i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −162954. | − | 282244.i | −0.390959 | − | 0.677161i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 13705.3 | − | 23738.2i | 0.0319709 | − | 0.0553752i | −0.849597 | − | 0.527432i | \(-0.823155\pi\) |
0.881568 | + | 0.472057i | \(0.156488\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −196155. | −0.445044 | −0.222522 | − | 0.974928i | \(-0.571429\pi\) | ||||
−0.222522 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 44538.3 | 0.0983118 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −527560. | + | 913761.i | −1.13329 | + | 1.96292i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3863.01 | + | 6690.93i | 0.00807833 | + | 0.0139921i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 86291.2 | − | 38545.5i | 0.175716 | − | 0.0784909i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 133491. | + | 231213.i | 0.264770 | + | 0.458595i | 0.967503 | − | 0.252858i | \(-0.0813706\pi\) |
−0.702733 | + | 0.711453i | \(0.748037\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 50681.9 | − | 87783.6i | 0.0979398 | − | 0.169637i | −0.812892 | − | 0.582415i | \(-0.802108\pi\) |
0.910832 | + | 0.412778i | \(0.135441\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 928366. | 1.74837 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 362366. | 0.665245 | 0.332623 | − | 0.943060i | \(-0.392066\pi\) | ||||
0.332623 | + | 0.943060i | \(0.392066\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 112706. | − | 195213.i | 0.201751 | − | 0.349443i | −0.747342 | − | 0.664440i | \(-0.768670\pi\) |
0.949093 | + | 0.314997i | \(0.102003\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −103345. | − | 178999.i | −0.180426 | − | 0.312507i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −448705. | + | 200433.i | −0.764224 | + | 0.341372i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −482026. | − | 834894.i | −0.801099 | − | 1.38754i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −133160. | + | 230640.i | −0.215998 | + | 0.374119i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −240965. | −0.381583 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 327801. | 0.506878 | 0.253439 | − | 0.967351i | \(-0.418438\pi\) | ||||
0.253439 | + | 0.967351i | \(0.418438\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −118538. | + | 205314.i | −0.179023 | + | 0.310077i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −331255. | − | 573751.i | −0.488727 | − | 0.846501i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −64924.7 | + | 625053.i | −0.0935968 | + | 0.901088i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −249243. | − | 431702.i | −0.351166 | − | 0.608238i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 30496.4 | − | 52821.2i | 0.0420017 | − | 0.0727492i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −109690. | −0.147708 | −0.0738538 | − | 0.997269i | \(-0.523530\pi\) | ||||
−0.0738538 | + | 0.997269i | \(0.523530\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 444818. | 0.585769 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 608733. | − | 1.05436e6i | 0.784083 | − | 1.35807i | −0.145463 | − | 0.989364i | \(-0.546467\pi\) |
0.929545 | − | 0.368708i | \(-0.120200\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 668013. | + | 1.15703e6i | 0.841776 | + | 1.45800i | 0.888392 | + | 0.459086i | \(0.151823\pi\) |
−0.0466161 | + | 0.998913i | \(0.514844\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 132989. | + | 96374.6i | 0.163978 | + | 0.118832i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −23394.2 | − | 40520.0i | −0.0282305 | − | 0.0488967i | 0.851565 | − | 0.524249i | \(-0.175654\pi\) |
−0.879795 | + | 0.475352i | \(0.842321\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 761868. | − | 1.31959e6i | 0.899933 | − | 1.55873i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 449609. | 0.519954 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −86350.2 | −0.0977841 | −0.0488921 | − | 0.998804i | \(-0.515569\pi\) | ||||
−0.0488921 | + | 0.998804i | \(0.515569\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −412649. | + | 714730.i | −0.457655 | + | 0.792682i | −0.998837 | − | 0.0482236i | \(-0.984644\pi\) |
0.541181 | + | 0.840906i | \(0.317977\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −29524.5 | − | 51137.9i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.52681e6 | + | 320642.i | 1.62507 | + | 0.341276i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 951145. | + | 1.64743e6i | 0.991983 | + | 1.71817i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 201865. | − | 349641.i | 0.206330 | − | 0.357374i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 130188. | 0.130432 | 0.0652162 | − | 0.997871i | \(-0.479226\pi\) | ||||
0.0652162 | + | 0.997871i | \(0.479226\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −462814. | −0.454574 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 22927.1 | − | 39710.9i | 0.0220800 | − | 0.0382436i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −51395.1 | − | 89018.9i | −0.0485388 | − | 0.0840716i | 0.840735 | − | 0.541446i | \(-0.182123\pi\) |
−0.889274 | + | 0.457375i | \(0.848790\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.19322e6 | + | 864706.i | 1.10528 | + | 0.800975i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 153524. | + | 265912.i | 0.139500 | + | 0.241622i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −17750.4 | + | 30744.5i | −0.0158241 | + | 0.0274081i | −0.873829 | − | 0.486233i | \(-0.838370\pi\) |
0.858005 | + | 0.513641i | \(0.171704\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.94695e6 | 1.70310 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.15150e6 | 0.988524 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −523171. | + | 906158.i | −0.440821 | + | 0.763525i | −0.997751 | − | 0.0670350i | \(-0.978646\pi\) |
0.556929 | + | 0.830560i | \(0.311979\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 88639.2 | + | 153528.i | 0.0733167 | + | 0.126988i | 0.900353 | − | 0.435160i | \(-0.143308\pi\) |
−0.827036 | + | 0.562148i | \(0.809975\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 133955. | − | 1.28963e6i | 0.108781 | − | 1.04727i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 386504. | + | 669445.i | 0.308193 | + | 0.533805i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −72793.0 | + | 126081.i | −0.0570020 | + | 0.0987304i | −0.893118 | − | 0.449822i | \(-0.851487\pi\) |
0.836116 | + | 0.548552i | \(0.184821\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 392633. | 0.301979 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.03073e6 | −0.778714 | −0.389357 | − | 0.921087i | \(-0.627303\pi\) | ||||
−0.389357 | + | 0.921087i | \(0.627303\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −558631. | + | 967577.i | −0.414628 | + | 0.718157i | −0.995389 | − | 0.0959167i | \(-0.969422\pi\) |
0.580761 | + | 0.814074i | \(0.302755\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 715069. | + | 1.23854e6i | 0.521478 | + | 0.903226i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.22934e6 | + | 549136.i | −0.880983 | + | 0.393527i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 708422. | + | 1.22702e6i | 0.498939 | + | 0.864188i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 295586. | − | 511971.i | 0.204622 | − | 0.354415i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.02032e6 | −1.37484 | −0.687418 | − | 0.726262i | \(-0.741256\pi\) | ||||
−0.687418 | + | 0.726262i | \(0.741256\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.36139e6 | −2.24887 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 51307.9 | − | 88867.9i | 0.0337515 | − | 0.0584593i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.82683e6 | + | 3.16417e6i | 1.18174 | + | 2.04683i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −844820. | + | 377374.i | −0.537462 | + | 0.240080i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −791022. | − | 1.37009e6i | −0.494974 | − | 0.857320i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 229683. | − | 397822.i | 0.141377 | − | 0.244872i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 535150. | 0.324063 | 0.162031 | − | 0.986786i | \(-0.448195\pi\) | ||||
0.162031 | + | 0.986786i | \(0.448195\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.38698e6 | 0.826372 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.15009e6 | + | 1.99202e6i | −0.674268 | + | 1.16787i | 0.302415 | + | 0.953176i | \(0.402207\pi\) |
−0.976682 | + | 0.214689i | \(0.931126\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.37863e6 | + | 2.38786e6i | 0.795404 | + | 1.37768i | 0.922582 | + | 0.385801i | \(0.126075\pi\) |
−0.127178 | + | 0.991880i | \(0.540592\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 100707. | − | 969544.i | 0.0571853 | − | 0.550543i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.27404e6 | − | 2.20671e6i | −0.712092 | − | 1.23338i | −0.964070 | − | 0.265647i | \(-0.914414\pi\) |
0.251978 | − | 0.967733i | \(-0.418919\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −266795. | + | 462103.i | −0.146792 | + | 0.254251i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.65026e6 | −0.893901 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 93958.7 | 0.0501107 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.05124e6 | − | 5.28490e6i | 1.60239 | − | 2.77542i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 605901. | + | 1.04945e6i | 0.313352 | + | 0.542741i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.72318e6 | − | 1.24875e6i | −0.877688 | − | 0.636043i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −244667. | − | 423776.i | −0.122746 | − | 0.212602i | 0.798104 | − | 0.602520i | \(-0.205837\pi\) |
−0.920849 | + | 0.389918i | \(0.872503\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 460352. | − | 797352.i | 0.227499 | − | 0.394039i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.13179e6 | −1.03785 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.47140e6 | −0.705757 | −0.352878 | − | 0.935669i | \(-0.614797\pi\) | ||||
−0.352878 | + | 0.935669i | \(0.614797\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −796297. | + | 1.37923e6i | −0.376336 | + | 0.651833i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 341160. | + | 590907.i | 0.158881 | + | 0.275190i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 665725. | − | 2.07470e6i | 0.305534 | − | 0.952181i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.37341e6 | + | 2.37881e6i | 0.621229 | + | 1.07600i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.20963e6 | + | 2.09513e6i | −0.539296 | + | 0.934088i | 0.459646 | + | 0.888102i | \(0.347976\pi\) |
−0.998942 | + | 0.0459859i | \(0.985357\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.58571e6 | −1.13636 | −0.568180 | − | 0.822905i | \(-0.692352\pi\) | ||||
−0.568180 | + | 0.822905i | \(0.692352\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −810096. | −0.350969 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −502198. | + | 869832.i | −0.214505 | + | 0.371534i | −0.953119 | − | 0.302594i | \(-0.902147\pi\) |
0.738614 | + | 0.674128i | \(0.235481\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.22260e6 | + | 2.11760e6i | 0.514887 | + | 0.891811i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −51856.0 | − | 37579.0i | −0.0215342 | − | 0.0156054i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.13383e6 | − | 1.96384e6i | −0.464313 | − | 0.804213i | 0.534858 | − | 0.844942i | \(-0.320365\pi\) |
−0.999170 | + | 0.0407292i | \(0.987032\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −227180. | + | 393487.i | −0.0917490 | + | 0.158914i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.27113e6 | −0.506319 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.14136e6 | −2.01998 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.39312e6 | − | 4.14500e6i | 0.927467 | − | 1.60642i | 0.139923 | − | 0.990162i | \(-0.455315\pi\) |
0.787545 | − | 0.616258i | \(-0.211352\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 420618. | + | 728532.i | 0.160813 | + | 0.278537i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 280929. | − | 2.70460e6i | 0.105965 | − | 1.02016i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.31351e6 | + | 4.00711e6i | 0.860991 | + | 1.49128i | 0.870973 | + | 0.491331i | \(0.163489\pi\) |
−0.00998166 | + | 0.999950i | \(0.503177\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 988557. | − | 1.71223e6i | 0.363014 | − | 0.628759i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.21241e6 | 1.52643 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 497760. | 0.178001 | 0.0890004 | − | 0.996032i | \(-0.471633\pi\) | ||||
0.0890004 | + | 0.996032i | \(0.471633\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 649942. | − | 1.12573e6i | 0.229384 | − | 0.397304i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 693745. | + | 1.20160e6i | 0.241659 | + | 0.418566i | 0.961187 | − | 0.275898i | \(-0.0889751\pi\) |
−0.719528 | + | 0.694463i | \(0.755642\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.54665e6 | − | 690877.i | 0.531791 | − | 0.237547i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 289055. | + | 500658.i | 0.0981077 | + | 0.169927i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 293028. | − | 507539.i | 0.0981826 | − | 0.170057i | −0.812750 | − | 0.582613i | \(-0.802030\pi\) |
0.910932 | + | 0.412556i | \(0.135364\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 180463. | 0.0596962 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.13757e6 | 0.698135 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 2.31862e6 | − | 4.01598e6i | 0.747718 | − | 1.29509i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.52668e6 | − | 2.64429e6i | −0.486151 | − | 0.842039i | 0.513722 | − | 0.857957i | \(-0.328266\pi\) |
−0.999873 | + | 0.0159181i | \(0.994933\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.82368e6 | − | 814623.i | 0.573478 | − | 0.256168i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.76158e6 | − | 4.78320e6i | −0.857624 | − | 1.48545i | −0.874189 | − | 0.485585i | \(-0.838607\pi\) |
0.0165657 | − | 0.999863i | \(-0.494727\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.69327e6 | − | 4.66489e6i | 0.826072 | − | 1.43080i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −609028. | −0.184502 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.60000e6 | 0.478779 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.67464e6 | − | 2.90055e6i | 0.495008 | − | 0.857379i | −0.504975 | − | 0.863134i | \(-0.668498\pi\) |
0.999983 | + | 0.00575475i | \(0.00183180\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 432915. | + | 749830.i | 0.126415 | + | 0.218957i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −485021. | + | 4.66946e6i | −0.139922 | + | 1.34707i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.08203e6 | − | 3.60618e6i | −0.593425 | − | 1.02784i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.76118e6 | + | 3.05045e6i | −0.495979 | + | 0.859060i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.97012e6 | −0.826493 | −0.413247 | − | 0.910619i | \(-0.635605\pi\) | ||||
−0.413247 | + | 0.910619i | \(0.635605\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.41478e6 | −1.48894 | −0.744468 | − | 0.667658i | \(-0.767297\pi\) | ||||
−0.744468 | + | 0.667658i | \(0.767297\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −664810. | + | 1.15148e6i | −0.180654 | + | 0.312901i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −150708. | − | 261034.i | −0.0404729 | − | 0.0701011i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −519491. | − | 376465.i | −0.137882 | − | 0.0999205i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −703895. | − | 1.21918e6i | −0.184657 | − | 0.319835i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −2.52975e6 | + | 4.38165e6i | −0.655970 | + | 1.13617i | 0.325679 | + | 0.945480i | \(0.394407\pi\) |
−0.981650 | + | 0.190694i | \(0.938926\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.84174e6 | 0.984711 | 0.492355 | − | 0.870394i | \(-0.336136\pi\) | ||||
0.492355 | + | 0.870394i | \(0.336136\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.16688e6 | 0.802433 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −2.81422e6 | + | 4.87437e6i | −0.704943 | + | 1.22100i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −762859. | − | 1.32131e6i | −0.188922 | − | 0.327223i | 0.755969 | − | 0.654607i | \(-0.227166\pi\) |
−0.944891 | + | 0.327385i | \(0.893833\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.33230e6 | − | 279794.i | −0.326217 | − | 0.0685081i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −735068. | − | 1.27317e6i | −0.177958 | − | 0.308233i | 0.763223 | − | 0.646135i | \(-0.223616\pi\) |
−0.941181 | + | 0.337903i | \(0.890283\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.93828e6 | − | 1.02854e7i | 1.42154 | − | 2.46219i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −726110. | −0.171883 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −6.05071e6 | −1.41641 | −0.708207 | − | 0.706004i | \(-0.750496\pi\) | ||||
−0.708207 | + | 0.706004i | \(0.750496\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −730954. | + | 1.26605e6i | −0.169219 | + | 0.293095i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 430572. | + | 745772.i | 0.0985826 | + | 0.170750i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.08284e7 | − | 7.84712e6i | −2.45208 | − | 1.77698i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.87710e6 | + | 4.98328e6i | 0.644413 | + | 1.11616i | 0.984437 | + | 0.175739i | \(0.0562315\pi\) |
−0.340024 | + | 0.940417i | \(0.610435\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −20006.3 | + | 34651.9i | −0.00443236 | + | 0.00767707i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.83684e6 | 0.621703 | 0.310851 | − | 0.950458i | \(-0.399386\pi\) | ||||
0.310851 | + | 0.950458i | \(0.399386\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.19089e6 | −1.12535 | −0.562677 | − | 0.826677i | \(-0.690229\pi\) | ||||
−0.562677 | + | 0.826677i | \(0.690229\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.02480e6 | − | 3.50705e6i | 0.434260 | − | 0.752160i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 544520. | + | 943136.i | 0.115537 | + | 0.200116i | 0.917994 | − | 0.396594i | \(-0.129808\pi\) |
−0.802457 | + | 0.596710i | \(0.796474\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −307600. | + | 2.96137e6i | −0.0645734 | + | 0.621670i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 880315. | + | 1.52475e6i | 0.182846 | + | 0.316699i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −502322. | + | 870047.i | −0.103235 | + | 0.178809i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.40081e6 | 1.91175 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.69892e6 | −0.341883 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −2.84705e6 | + | 4.93124e6i | −0.566966 | + | 0.982013i | 0.429898 | + | 0.902877i | \(0.358549\pi\) |
−0.996864 | + | 0.0791359i | \(0.974784\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.31559e6 | − | 1.09389e7i | −1.24466 | − | 2.15582i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.50269e6 | − | 1.56462e6i | 0.683177 | − | 0.305169i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.04866e6 | − | 5.28044e6i | −0.588512 | − | 1.01933i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.05713e6 | + | 3.56305e6i | −0.393042 | + | 0.680768i | −0.992849 | − | 0.119376i | \(-0.961911\pi\) |
0.599807 | + | 0.800144i | \(0.295244\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −338811. | −0.0640745 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 609530. | 0.114101 | 0.0570507 | − | 0.998371i | \(-0.481830\pi\) | ||||
0.0570507 | + | 0.998371i | \(0.481830\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 104031. | − | 180186.i | 0.0192772 | − | 0.0333891i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −529187. | − | 916579.i | −0.0970725 | − | 0.168134i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.11806e6 | − | 1.39281e6i | 0.566231 | − | 0.252930i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 497896. | + | 862382.i | 0.0895133 | + | 0.155042i | 0.907306 | − | 0.420472i | \(-0.138136\pi\) |
−0.817792 | + | 0.575514i | \(0.804802\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.91050e6 | − | 5.04113e6i | 0.518052 | − | 0.897292i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.02730e7 | −1.81042 | −0.905209 | − | 0.424966i | \(-0.860286\pi\) | ||||
−0.905209 | + | 0.424966i | \(0.860286\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.63171e7 | −2.84718 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −3.88605e6 | + | 6.73084e6i | −0.671412 | + | 1.16292i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.39213e6 | + | 2.41125e6i | 0.238170 | + | 0.412522i | 0.960189 | − | 0.279351i | \(-0.0901193\pi\) |
−0.722020 | + | 0.691873i | \(0.756786\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −741856. | + | 7.14210e6i | −0.125680 | + | 1.20997i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −623972. | − | 1.08075e6i | −0.104682 | − | 0.181314i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 7.15264e6 | − | 1.23887e7i | 1.18836 | − | 2.05830i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.31062e6 | −0.380192 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.48218e6 | −0.567456 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −522678. | + | 905306.i | −0.0843607 | + | 0.146117i | −0.905119 | − | 0.425159i | \(-0.860218\pi\) |
0.820758 | + | 0.571276i | \(0.193551\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.81578e6 | − | 3.14503e6i | −0.290275 | − | 0.502771i | 0.683600 | − | 0.729857i | \(-0.260413\pi\) |
−0.973875 | + | 0.227086i | \(0.927080\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −5.18833e6 | − | 3.75988e6i | −0.821540 | − | 0.595354i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −133027. | − | 230410.i | −0.0208648 | − | 0.0361389i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.18700e6 | + | 3.78800e6i | −0.339789 | + | 0.588532i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.93317e6 | 0.451440 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.15410e7 | 1.75964 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.51034e6 | + | 1.47403e7i | −1.28547 | + | 2.22650i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 123347. | + | 213644.i | 0.0184584 | + | 0.0319709i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −736558. | − | 2.24821e6i | −0.109203 | − | 0.333323i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.72442e6 | + | 8.18294e6i | 0.693994 | + | 1.20203i | 0.970519 | + | 0.241025i | \(0.0774837\pi\) |
−0.276525 | + | 0.961007i | \(0.589183\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 882698. | − | 1.52888e6i | 0.128473 | − | 0.222522i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.24985e7 | 1.80246 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.69014e6 | −0.384421 | −0.192210 | − | 0.981354i | \(-0.561566\pi\) | ||||
−0.192210 | + | 0.981354i | \(0.561566\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −200422. | + | 347142.i | −0.0283802 | + | 0.0491559i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.24459e6 | + | 5.61979e6i | 0.455282 | + | 0.788572i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.24421e6 | − | 3.80038e6i | −0.729235 | − | 0.528462i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −4.74804e6 | − | 8.22385e6i | −0.654308 | − | 1.13329i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.44490e6 | − | 7.69880e6i | 0.607050 | − | 1.05144i | −0.384674 | − | 0.923052i | \(-0.625686\pi\) |
0.991724 | − | 0.128389i | \(-0.0409805\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.93112e6 | 1.07351 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −69534.1 | −0.00932805 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 629963. | − | 1.09113e6i | 0.0837615 | − | 0.145079i | −0.821101 | − | 0.570782i | \(-0.806640\pi\) |
0.904863 | + | 0.425703i | \(0.139973\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.21297e6 | + | 1.42253e7i | 1.08238 | + | 1.87473i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −87877.7 | + | 846028.i | −0.0114794 | + | 0.110517i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.91019e6 | + | 5.04059e6i | 0.376826 | + | 0.652681i | 0.990598 | − | 0.136801i | \(-0.0436822\pi\) |
−0.613773 | + | 0.789483i | \(0.710349\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.32980e6 | − | 4.03534e6i | 0.299040 | − | 0.517952i | −0.676877 | − | 0.736096i | \(-0.736667\pi\) |
0.975917 | + | 0.218144i | \(0.0700003\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.40284e6 | −0.305730 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.80558e7 | 2.27744 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 762391. | − | 1.32050e6i | 0.0953319 | − | 0.165120i | −0.814415 | − | 0.580283i | \(-0.802942\pi\) |
0.909747 | + | 0.415163i | \(0.136275\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 456137. | + | 790052.i | 0.0565456 | + | 0.0979398i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.30992e6 | + | 2.37189e6i | −0.652600 | + | 0.291511i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.47620e6 | − | 2.55685e6i | −0.179876 | − | 0.311554i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −4.17764e6 | + | 7.23589e6i | −0.504710 | + | 0.874183i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1.50087e7 | 1.79783 | 0.898914 | − | 0.438124i | \(-0.144357\pi\) | ||||
0.898914 | + | 0.438124i | \(0.144357\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.29792e6 | 0.985556 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.63065e6 | + | 2.82436e6i | −0.192040 | + | 0.332623i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.53973e6 | + | 6.13099e6i | 0.413364 | + | 0.715968i | 0.995255 | − | 0.0972987i | \(-0.0310202\pi\) |
−0.581891 | + | 0.813267i | \(0.697687\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −603081. | + | 269391.i | −0.0698366 | + | 0.0311954i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.01436e6 | + | 1.75692e6i | 0.116481 | + | 0.201751i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.08761e6 | + | 1.88379e6i | −0.123853 | + | 0.214519i | −0.921284 | − | 0.388891i | \(-0.872858\pi\) |
0.797431 | + | 0.603410i | \(0.206192\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.69785e6 | 0.304671 | 0.152336 | − | 0.988329i | \(-0.451321\pi\) | ||||
0.152336 | + | 0.988329i | \(0.451321\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.86021e6 | 0.208338 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −6.55520e6 | + | 1.13539e7i | −0.728111 | + | 1.26112i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.49417e6 | + | 4.32003e6i | 0.274760 | + | 0.475899i | 0.970075 | − | 0.242807i | \(-0.0780682\pi\) |
−0.695314 | + | 0.718706i | \(0.744735\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 456955. | − | 4.39926e6i | 0.0499263 | − | 0.480658i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 9.12056e6 | + | 1.57973e7i | 0.988367 | + | 1.71190i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −556820. | + | 964441.i | −0.0598500 | + | 0.103663i | −0.894398 | − | 0.447272i | \(-0.852396\pi\) |
0.834548 | + | 0.550935i | \(0.185729\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 8.67647e6 | 0.925029 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −5.14757e6 | −0.544364 | −0.272182 | − | 0.962246i | \(-0.587745\pi\) | ||||
−0.272182 | + | 0.962246i | \(0.587745\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 121588. | − | 210597.i | 0.0127545 | − | 0.0220915i | −0.859578 | − | 0.511005i | \(-0.829273\pi\) |
0.872332 | + | 0.488914i | \(0.162607\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.19844e6 | − | 2.07576e6i | −0.124706 | − | 0.215998i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.34311e7 | − | 9.73322e6i | −1.38641 | − | 1.00470i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.61533e6 | − | 2.79783e6i | −0.165410 | − | 0.286498i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.08434e6 | − | 1.87814e6i | 0.110153 | − | 0.190791i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −623884. | −0.0628749 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.94255e6 | −0.994087 | −0.497044 | − | 0.867726i | \(-0.665581\pi\) | ||||
−0.497044 | + | 0.867726i | \(0.665581\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −1.47510e6 | + | 2.55495e6i | −0.146323 | + | 0.253439i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −6.70347e6 | − | 1.16108e7i | −0.659729 | − | 1.14268i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.24632e7 | + | 1.39099e7i | −1.21697 | + | 1.35824i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.06684e6 | − | 1.84783e6i | −0.103359 | − | 0.179023i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.77767e6 | − | 1.00072e7i | 0.555402 | − | 0.961985i | −0.442470 | − | 0.896783i | \(-0.645898\pi\) |
0.997872 | − | 0.0652017i | \(-0.0207691\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.35139e6 | −0.128900 | −0.0644500 | − | 0.997921i | \(-0.520529\pi\) | ||||
−0.0644500 | + | 0.997921i | \(0.520529\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 5.96260e6 | 0.564334 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 8.77678e6 | − | 1.52018e7i | 0.824279 | − | 1.42769i | −0.0781895 | − | 0.996939i | \(-0.524914\pi\) |
0.902469 | − | 0.430755i | \(-0.141753\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.54864e6 | + | 4.41437e6i | 0.237518 | + | 0.411393i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.57964e6 | − | 3.31877e6i | −0.423525 | − | 0.306920i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 3.99936e6 | + | 6.92710e6i | 0.367035 | + | 0.635724i | 0.989101 | − | 0.147242i | \(-0.0470395\pi\) |
−0.622065 | + | 0.782965i | \(0.713706\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.10234e7 | − | 1.90931e7i | 1.00395 | − | 1.73889i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.48638e6 | 0.405492 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −229419. | −0.0205786 | −0.0102893 | − | 0.999947i | \(-0.503275\pi\) | ||||
−0.0102893 | + | 0.999947i | \(0.503275\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.64279e6 | − | 2.84539e6i | 0.146244 | − | 0.253302i | −0.783593 | − | 0.621275i | \(-0.786615\pi\) |
0.929836 | + | 0.367973i | \(0.119948\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 274467. | + | 475391.i | 0.0242497 | + | 0.0420017i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.12835e6 | − | 2.04904e7i | 0.186634 | − | 1.79678i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.23177e6 | + | 1.07937e7i | 0.542372 | + | 0.939416i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 493603. | − | 854945.i | 0.0426395 | − | 0.0738538i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −696590. | −0.0597271 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.22188e6 | 0.699734 | 0.349867 | − | 0.936799i | \(-0.386227\pi\) | ||||
0.349867 | + | 0.936799i | \(0.386227\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.00168e6 | + | 3.46701e6i | −0.169097 | + | 0.292884i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1.07702e7 | − | 1.86546e7i | −0.903138 | − | 1.56428i | −0.823397 | − | 0.567465i | \(-0.807924\pi\) |
−0.0797405 | − | 0.996816i | \(-0.525409\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.77519e6 | + | 3.47311e6i | −0.647197 | + | 0.289097i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.47859e6 | + | 9.48920e6i | 0.452690 | + | 0.784083i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −8.08706e6 | + | 1.40072e7i | −0.663344 | + | 1.14895i | 0.316387 | + | 0.948630i | \(0.397530\pi\) |
−0.979731 | + | 0.200316i | \(0.935803\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.93012e6 | 0.727162 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.20242e7 | −0.971999 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −1.16538e7 | + | 2.01850e7i | −0.935231 | + | 1.61987i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.32318e6 | + | 9.22002e6i | 0.424108 | + | 0.734576i | 0.996337 | − | 0.0855179i | \(-0.0272545\pi\) |
−0.572229 | + | 0.820094i | \(0.693921\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.34962e6 | + | 602862.i | −0.106752 | + | 0.0476854i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.81647e7 | + | 3.14622e7i | 1.42648 | + | 2.47074i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 285018. | − | 493666.i | 0.0222224 | − | 0.0384903i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 421096. | 0.0325978 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.55461e6 | −0.350071 | −0.175035 | − | 0.984562i | \(-0.556004\pi\) | ||||
−0.175035 | + | 0.984562i | \(0.556004\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.72909e6 | − | 1.68513e7i | 0.742479 | − | 1.28601i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 6.85682e6 | + | 1.18764e7i | 0.519577 | + | 0.899933i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.35442e6 | + | 2.26668e7i | −0.177148 | + | 1.70546i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.55174e6 | − | 1.13479e7i | −0.489487 | − | 0.847816i | 0.510440 | − | 0.859913i | \(-0.329483\pi\) |
−0.999927 | + | 0.0120971i | \(0.996149\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.02324e6 | + | 3.50436e6i | −0.150098 | + | 0.259977i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.59375e7 | 1.17408 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.45199e7 | −1.06218 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 388576. | − | 673033.i | 0.0282278 | − | 0.0488921i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 8.95942e6 | + | 1.55182e7i | 0.646335 | + | 1.11949i | 0.983991 | + | 0.178216i | \(0.0570325\pi\) |
−0.337656 | + | 0.941269i | \(0.609634\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.61777e7 | − | 1.17236e7i | −1.15899 | − | 0.839894i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −3.71384e6 | − | 6.43257e6i | −0.264227 | − | 0.457655i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.04085e7 | − | 1.80281e7i | 0.735435 | − | 1.27381i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.41466e7 | −0.992693 | −0.496347 | − | 0.868125i | \(-0.665325\pi\) | ||||
−0.496347 | + | 0.868125i | \(0.665325\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 195868. | − | 339254.i | 0.0135572 | − | 0.0234818i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.22241e6 | + | 1.07775e7i | 0.427758 | + | 0.740899i | 0.996674 | − | 0.0814969i | \(-0.0259701\pi\) |
−0.568915 | + | 0.822396i | \(0.692637\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −9.36982e6 | + | 1.04574e7i | −0.639754 | + | 0.714015i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.61634e6 | + | 2.79959e6i | 0.109614 | + | 0.189857i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −883322. | + | 1.52996e6i | −0.0594988 | + | 0.103055i | −0.894241 | − | 0.447587i | \(-0.852284\pi\) |
0.834742 | + | 0.550642i | \(0.185617\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.71206e7 | −1.14544 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −5.73250e6 | −0.380953 | −0.190477 | − | 0.981692i | \(-0.561003\pi\) | ||||
−0.190477 | + | 0.981692i | \(0.561003\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.74453e6 | + | 6.48571e6i | −0.247176 | + | 0.428122i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.81679e6 | + | 3.14677e6i | 0.119125 | + | 0.206330i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.92485e7 | + | 1.39490e7i | 1.25370 | + | 0.908528i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.31566e7 | + | 2.27879e7i | 0.851224 | + | 1.47436i | 0.880104 | + | 0.474780i | \(0.157472\pi\) |
−0.0288804 | + | 0.999583i | \(0.509194\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −585844. | + | 1.01471e6i | −0.0376526 | + | 0.0652162i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.88179e6 | 0.567066 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.63104e7 | 1.03449 | 0.517245 | − | 0.855838i | \(-0.326958\pi\) | ||||
0.517245 | + | 0.855838i | \(0.326958\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 2.08266e6 | − | 3.60728e6i | 0.131224 | − | 0.227287i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −8.42080e6 | − | 1.45853e7i | −0.527098 | − | 0.912961i | −0.999501 | − | 0.0315785i | \(-0.989947\pi\) |
0.472403 | − | 0.881383i | \(-0.343387\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.80342e6 | − | 1.73622e7i | 0.112147 | − | 1.07967i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 206344. | + | 357398.i | 0.0127479 | + | 0.0220800i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 2.01201e7 | − | 3.48491e7i | 1.23493 | − | 2.13896i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.19890e7 | 0.731084 | 0.365542 | − | 0.930795i | \(-0.380884\pi\) | ||||
0.365542 | + | 0.930795i | \(0.380884\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 925112. | 0.0560477 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.48868e6 | + | 1.47028e7i | −0.510965 | + | 0.885018i | 0.488954 | + | 0.872310i | \(0.337379\pi\) |
−0.999919 | + | 0.0127081i | \(0.995955\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.33097e7 | − | 2.30531e7i | −0.796003 | − | 1.37872i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.21092e7 | + | 5.40908e6i | −0.719554 | + | 0.321419i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 8.88937e6 | + | 1.53968e7i | 0.524841 | + | 0.909050i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.85397e6 | − | 3.21117e6i | 0.108761 | − | 0.188380i | ||||
\(782\) | 0 |