Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,6,Mod(34,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.34");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(26.4633302691\) |
Analytic rank: | \(0\) |
Dimension: | \(26\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 34.15 | ||
Character | \(\chi\) | \(=\) | 165.34 |
Dual form | 165.6.c.b.34.12 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.31741i | 0.232888i | 0.993197 | + | 0.116444i | \(0.0371495\pi\) | ||||
−0.993197 | + | 0.116444i | \(0.962851\pi\) | |||||||
\(3\) | − | 9.00000i | − | 0.577350i | ||||||
\(4\) | 30.2644 | 0.945763 | ||||||||
\(5\) | −35.6376 | + | 43.0693i | −0.637505 | + | 0.770446i | ||||
\(6\) | 11.8567 | 0.134458 | ||||||||
\(7\) | − | 87.4786i | − | 0.674772i | −0.941366 | − | 0.337386i | \(-0.890457\pi\) | ||
0.941366 | − | 0.337386i | \(-0.109543\pi\) | |||||||
\(8\) | 82.0279i | 0.453144i | ||||||||
\(9\) | −81.0000 | −0.333333 | ||||||||
\(10\) | −56.7399 | − | 46.9494i | −0.179427 | − | 0.148467i | ||||
\(11\) | 121.000 | 0.301511 | ||||||||
\(12\) | − | 272.380i | − | 0.546037i | ||||||
\(13\) | − | 521.292i | − | 0.855506i | −0.903896 | − | 0.427753i | \(-0.859305\pi\) | ||
0.903896 | − | 0.427753i | \(-0.140695\pi\) | |||||||
\(14\) | 115.245 | 0.157146 | ||||||||
\(15\) | 387.623 | + | 320.739i | 0.444817 | + | 0.368064i | ||||
\(16\) | 860.397 | 0.840232 | ||||||||
\(17\) | − | 68.1523i | − | 0.0571950i | −0.999591 | − | 0.0285975i | \(-0.990896\pi\) | ||
0.999591 | − | 0.0285975i | \(-0.00910411\pi\) | |||||||
\(18\) | − | 106.710i | − | 0.0776292i | ||||||
\(19\) | 1588.76 | 1.00966 | 0.504830 | − | 0.863219i | \(-0.331555\pi\) | ||||
0.504830 | + | 0.863219i | \(0.331555\pi\) | |||||||
\(20\) | −1078.55 | + | 1303.47i | −0.602929 | + | 0.728660i | ||||
\(21\) | −787.308 | −0.389580 | ||||||||
\(22\) | 159.407i | 0.0702183i | ||||||||
\(23\) | − | 191.904i | − | 0.0756422i | −0.999285 | − | 0.0378211i | \(-0.987958\pi\) | ||
0.999285 | − | 0.0378211i | \(-0.0120417\pi\) | |||||||
\(24\) | 738.251 | 0.261623 | ||||||||
\(25\) | −584.921 | − | 3069.77i | −0.187175 | − | 0.982327i | ||||
\(26\) | 686.756 | 0.199237 | ||||||||
\(27\) | 729.000i | 0.192450i | ||||||||
\(28\) | − | 2647.49i | − | 0.638174i | ||||||
\(29\) | 4252.98 | 0.939071 | 0.469535 | − | 0.882914i | \(-0.344421\pi\) | ||||
0.469535 | + | 0.882914i | \(0.344421\pi\) | |||||||
\(30\) | −422.545 | + | 510.659i | −0.0857175 | + | 0.103592i | ||||
\(31\) | −83.6771 | −0.0156388 | −0.00781938 | − | 0.999969i | \(-0.502489\pi\) | ||||
−0.00781938 | + | 0.999969i | \(0.502489\pi\) | |||||||
\(32\) | 3758.39i | 0.648824i | ||||||||
\(33\) | − | 1089.00i | − | 0.174078i | ||||||
\(34\) | 89.7846 | 0.0133200 | ||||||||
\(35\) | 3767.64 | + | 3117.53i | 0.519875 | + | 0.430170i | ||||
\(36\) | −2451.42 | −0.315254 | ||||||||
\(37\) | − | 14445.4i | − | 1.73470i | −0.497695 | − | 0.867352i | \(-0.665820\pi\) | ||
0.497695 | − | 0.867352i | \(-0.334180\pi\) | |||||||
\(38\) | 2093.06i | 0.235138i | ||||||||
\(39\) | −4691.63 | −0.493926 | ||||||||
\(40\) | −3532.88 | − | 2923.28i | −0.349123 | − | 0.288882i | ||||
\(41\) | 6151.94 | 0.571548 | 0.285774 | − | 0.958297i | \(-0.407749\pi\) | ||||
0.285774 | + | 0.958297i | \(0.407749\pi\) | |||||||
\(42\) | − | 1037.21i | − | 0.0907283i | ||||||
\(43\) | − | 1408.62i | − | 0.116177i | −0.998311 | − | 0.0580886i | \(-0.981499\pi\) | ||
0.998311 | − | 0.0580886i | \(-0.0185006\pi\) | |||||||
\(44\) | 3662.00 | 0.285158 | ||||||||
\(45\) | 2886.65 | − | 3488.61i | 0.212502 | − | 0.256815i | ||||
\(46\) | 252.816 | 0.0176161 | ||||||||
\(47\) | − | 14797.5i | − | 0.977110i | −0.872533 | − | 0.488555i | \(-0.837524\pi\) | ||
0.872533 | − | 0.488555i | \(-0.162476\pi\) | |||||||
\(48\) | − | 7743.57i | − | 0.485108i | ||||||
\(49\) | 9154.49 | 0.544683 | ||||||||
\(50\) | 4044.15 | − | 770.582i | 0.228772 | − | 0.0435907i | ||||
\(51\) | −613.371 | −0.0330216 | ||||||||
\(52\) | − | 15776.6i | − | 0.809106i | ||||||
\(53\) | − | 10938.4i | − | 0.534891i | −0.963573 | − | 0.267445i | \(-0.913820\pi\) | ||
0.963573 | − | 0.267445i | \(-0.0861795\pi\) | |||||||
\(54\) | −960.393 | −0.0448192 | ||||||||
\(55\) | −4312.15 | + | 5211.38i | −0.192215 | + | 0.232298i | ||||
\(56\) | 7175.69 | 0.305769 | ||||||||
\(57\) | − | 14298.9i | − | 0.582928i | ||||||
\(58\) | 5602.92i | 0.218698i | ||||||||
\(59\) | 16099.1 | 0.602103 | 0.301052 | − | 0.953608i | \(-0.402662\pi\) | ||||
0.301052 | + | 0.953608i | \(0.402662\pi\) | |||||||
\(60\) | 11731.2 | + | 9706.97i | 0.420692 | + | 0.348101i | ||||
\(61\) | 41095.0 | 1.41405 | 0.707025 | − | 0.707189i | \(-0.250037\pi\) | ||||
0.707025 | + | 0.707189i | \(0.250037\pi\) | |||||||
\(62\) | − | 110.237i | − | 0.00364208i | ||||||
\(63\) | 7085.77i | 0.224924i | ||||||||
\(64\) | 22581.4 | 0.689129 | ||||||||
\(65\) | 22451.7 | + | 18577.6i | 0.659121 | + | 0.545389i | ||||
\(66\) | 1434.66 | 0.0405405 | ||||||||
\(67\) | − | 1254.02i | − | 0.0341286i | −0.999854 | − | 0.0170643i | \(-0.994568\pi\) | ||
0.999854 | − | 0.0170643i | \(-0.00543199\pi\) | |||||||
\(68\) | − | 2062.59i | − | 0.0540930i | ||||||
\(69\) | −1727.14 | −0.0436721 | ||||||||
\(70\) | −4107.07 | + | 4963.53i | −0.100181 | + | 0.121073i | ||||
\(71\) | 47638.4 | 1.12153 | 0.560765 | − | 0.827975i | \(-0.310507\pi\) | ||||
0.560765 | + | 0.827975i | \(0.310507\pi\) | |||||||
\(72\) | − | 6644.26i | − | 0.151048i | ||||||
\(73\) | 7358.01i | 0.161604i | 0.996730 | + | 0.0808022i | \(0.0257482\pi\) | ||||
−0.996730 | + | 0.0808022i | \(0.974252\pi\) | |||||||
\(74\) | 19030.5 | 0.403991 | ||||||||
\(75\) | −27627.9 | + | 5264.29i | −0.567147 | + | 0.108065i | ||||
\(76\) | 48083.1 | 0.954900 | ||||||||
\(77\) | − | 10584.9i | − | 0.203451i | ||||||
\(78\) | − | 6180.81i | − | 0.115029i | ||||||
\(79\) | −90184.5 | −1.62579 | −0.812895 | − | 0.582411i | \(-0.802110\pi\) | ||||
−0.812895 | + | 0.582411i | \(0.802110\pi\) | |||||||
\(80\) | −30662.5 | + | 37056.7i | −0.535652 | + | 0.647353i | ||||
\(81\) | 6561.00 | 0.111111 | ||||||||
\(82\) | 8104.64i | 0.133106i | ||||||||
\(83\) | − | 10857.0i | − | 0.172987i | −0.996252 | − | 0.0864935i | \(-0.972434\pi\) | ||
0.996252 | − | 0.0864935i | \(-0.0275662\pi\) | |||||||
\(84\) | −23827.4 | −0.368450 | ||||||||
\(85\) | 2935.27 | + | 2428.79i | 0.0440657 | + | 0.0364621i | ||||
\(86\) | 1855.73 | 0.0270563 | ||||||||
\(87\) | − | 38276.8i | − | 0.542173i | ||||||
\(88\) | 9925.37i | 0.136628i | ||||||||
\(89\) | −112869. | −1.51043 | −0.755216 | − | 0.655476i | \(-0.772468\pi\) | ||||
−0.755216 | + | 0.655476i | \(0.772468\pi\) | |||||||
\(90\) | 4595.93 | + | 3802.90i | 0.0598091 | + | 0.0494890i | ||||
\(91\) | −45601.9 | −0.577271 | ||||||||
\(92\) | − | 5807.86i | − | 0.0715396i | ||||||
\(93\) | 753.094i | 0.00902905i | ||||||||
\(94\) | 19494.4 | 0.227557 | ||||||||
\(95\) | −56619.8 | + | 68426.9i | −0.643664 | + | 0.777889i | ||||
\(96\) | 33825.5 | 0.374599 | ||||||||
\(97\) | 96993.9i | 1.04668i | 0.852123 | + | 0.523341i | \(0.175315\pi\) | ||||
−0.852123 | + | 0.523341i | \(0.824685\pi\) | |||||||
\(98\) | 12060.2i | 0.126850i | ||||||||
\(99\) | −9801.00 | −0.100504 | ||||||||
\(100\) | −17702.3 | − | 92904.9i | −0.177023 | − | 0.929049i | ||||
\(101\) | −55750.8 | −0.543810 | −0.271905 | − | 0.962324i | \(-0.587654\pi\) | ||||
−0.271905 | + | 0.962324i | \(0.587654\pi\) | |||||||
\(102\) | − | 808.062i | − | 0.00769031i | ||||||
\(103\) | − | 107469.i | − | 0.998139i | −0.866562 | − | 0.499069i | \(-0.833675\pi\) | ||
0.866562 | − | 0.499069i | \(-0.166325\pi\) | |||||||
\(104\) | 42760.5 | 0.387667 | ||||||||
\(105\) | 28057.8 | − | 33908.8i | 0.248359 | − | 0.300150i | ||||
\(106\) | 14410.4 | 0.124569 | ||||||||
\(107\) | 25673.1i | 0.216780i | 0.994108 | + | 0.108390i | \(0.0345696\pi\) | ||||
−0.994108 | + | 0.108390i | \(0.965430\pi\) | |||||||
\(108\) | 22062.8i | 0.182012i | ||||||||
\(109\) | −98829.6 | −0.796748 | −0.398374 | − | 0.917223i | \(-0.630425\pi\) | ||||
−0.398374 | + | 0.917223i | \(0.630425\pi\) | |||||||
\(110\) | −6865.53 | − | 5680.88i | −0.0540994 | − | 0.0447645i | ||||
\(111\) | −130009. | −1.00153 | ||||||||
\(112\) | − | 75266.4i | − | 0.566965i | ||||||
\(113\) | 12055.0i | 0.0888120i | 0.999014 | + | 0.0444060i | \(0.0141395\pi\) | ||||
−0.999014 | + | 0.0444060i | \(0.985860\pi\) | |||||||
\(114\) | 18837.5 | 0.135757 | ||||||||
\(115\) | 8265.16 | + | 6839.00i | 0.0582783 | + | 0.0482223i | ||||
\(116\) | 128714. | 0.888139 | ||||||||
\(117\) | 42224.7i | 0.285169i | ||||||||
\(118\) | 21209.1i | 0.140222i | ||||||||
\(119\) | −5961.87 | −0.0385936 | ||||||||
\(120\) | −26309.5 | + | 31795.9i | −0.166786 | + | 0.201566i | ||||
\(121\) | 14641.0 | 0.0909091 | ||||||||
\(122\) | 54139.1i | 0.329315i | ||||||||
\(123\) | − | 55367.5i | − | 0.329983i | ||||||
\(124\) | −2532.44 | −0.0147906 | ||||||||
\(125\) | 153058. | + | 84207.2i | 0.876155 | + | 0.482030i | ||||
\(126\) | −9334.87 | −0.0523820 | ||||||||
\(127\) | 57953.4i | 0.318838i | 0.987211 | + | 0.159419i | \(0.0509620\pi\) | ||||
−0.987211 | + | 0.159419i | \(0.949038\pi\) | |||||||
\(128\) | 150017.i | 0.809313i | ||||||||
\(129\) | −12677.5 | −0.0670750 | ||||||||
\(130\) | −24474.4 | + | 29578.1i | −0.127014 | + | 0.153501i | ||||
\(131\) | −124350. | −0.633095 | −0.316548 | − | 0.948577i | \(-0.602524\pi\) | ||||
−0.316548 | + | 0.948577i | \(0.602524\pi\) | |||||||
\(132\) | − | 32958.0i | − | 0.164636i | ||||||
\(133\) | − | 138983.i | − | 0.681291i | ||||||
\(134\) | 1652.06 | 0.00794812 | ||||||||
\(135\) | −31397.5 | − | 25979.8i | −0.148272 | − | 0.122688i | ||||
\(136\) | 5590.39 | 0.0259176 | ||||||||
\(137\) | 408683.i | 1.86031i | 0.367170 | + | 0.930154i | \(0.380327\pi\) | ||||
−0.367170 | + | 0.930154i | \(0.619673\pi\) | |||||||
\(138\) | − | 2275.35i | − | 0.0101707i | ||||||
\(139\) | −378463. | −1.66145 | −0.830723 | − | 0.556686i | \(-0.812073\pi\) | ||||
−0.830723 | + | 0.556686i | \(0.812073\pi\) | |||||||
\(140\) | 114025. | + | 94350.2i | 0.491679 | + | 0.406839i | ||||
\(141\) | −133177. | −0.564135 | ||||||||
\(142\) | 62759.4i | 0.261191i | ||||||||
\(143\) | − | 63076.4i | − | 0.257945i | ||||||
\(144\) | −69692.2 | −0.280077 | ||||||||
\(145\) | −151566. | + | 183173.i | −0.598662 | + | 0.723503i | ||||
\(146\) | −9693.52 | −0.0376357 | ||||||||
\(147\) | − | 82390.4i | − | 0.314473i | ||||||
\(148\) | − | 437182.i | − | 1.64062i | ||||||
\(149\) | 271317. | 1.00118 | 0.500588 | − | 0.865686i | \(-0.333117\pi\) | ||||
0.500588 | + | 0.865686i | \(0.333117\pi\) | |||||||
\(150\) | −6935.24 | − | 36397.4i | −0.0251671 | − | 0.132081i | ||||
\(151\) | −146748. | −0.523758 | −0.261879 | − | 0.965101i | \(-0.584342\pi\) | ||||
−0.261879 | + | 0.965101i | \(0.584342\pi\) | |||||||
\(152\) | 130323.i | 0.457522i | ||||||||
\(153\) | 5520.34i | 0.0190650i | ||||||||
\(154\) | 13944.7 | 0.0473813 | ||||||||
\(155\) | 2982.05 | − | 3603.91i | 0.00996979 | − | 0.0120488i | ||||
\(156\) | −141990. | −0.467138 | ||||||||
\(157\) | 365562.i | 1.18362i | 0.806077 | + | 0.591810i | \(0.201586\pi\) | ||||
−0.806077 | + | 0.591810i | \(0.798414\pi\) | |||||||
\(158\) | − | 118810.i | − | 0.378626i | ||||||
\(159\) | −98445.8 | −0.308819 | ||||||||
\(160\) | −161871. | − | 133940.i | −0.499884 | − | 0.413628i | ||||
\(161\) | −16787.5 | −0.0510412 | ||||||||
\(162\) | 8643.54i | 0.0258764i | ||||||||
\(163\) | 16695.2i | 0.0492180i | 0.999697 | + | 0.0246090i | \(0.00783408\pi\) | ||||
−0.999697 | + | 0.0246090i | \(0.992166\pi\) | |||||||
\(164\) | 186185. | 0.540549 | ||||||||
\(165\) | 46902.4 | + | 38809.4i | 0.134117 | + | 0.110975i | ||||
\(166\) | 14303.1 | 0.0402865 | ||||||||
\(167\) | 568590.i | 1.57764i | 0.614623 | + | 0.788821i | \(0.289308\pi\) | ||||
−0.614623 | + | 0.788821i | \(0.710692\pi\) | |||||||
\(168\) | − | 64581.2i | − | 0.176536i | ||||||
\(169\) | 99547.4 | 0.268110 | ||||||||
\(170\) | −3199.71 | + | 3866.96i | −0.00849157 | + | 0.0102624i | ||||
\(171\) | −128690. | −0.336554 | ||||||||
\(172\) | − | 42630.9i | − | 0.109876i | ||||||
\(173\) | 552203.i | 1.40276i | 0.712788 | + | 0.701380i | \(0.247432\pi\) | ||||
−0.712788 | + | 0.701380i | \(0.752568\pi\) | |||||||
\(174\) | 50426.3 | 0.126265 | ||||||||
\(175\) | −268539. | + | 51168.1i | −0.662846 | + | 0.126300i | ||||
\(176\) | 104108. | 0.253339 | ||||||||
\(177\) | − | 144892.i | − | 0.347624i | ||||||
\(178\) | − | 148695.i | − | 0.351761i | ||||||
\(179\) | 179962. | 0.419807 | 0.209903 | − | 0.977722i | \(-0.432685\pi\) | ||||
0.209903 | + | 0.977722i | \(0.432685\pi\) | |||||||
\(180\) | 87362.7 | − | 105581.i | 0.200976 | − | 0.242887i | ||||
\(181\) | 612439. | 1.38953 | 0.694763 | − | 0.719239i | \(-0.255509\pi\) | ||||
0.694763 | + | 0.719239i | \(0.255509\pi\) | |||||||
\(182\) | − | 60076.5i | − | 0.134439i | ||||||
\(183\) | − | 369855.i | − | 0.816402i | ||||||
\(184\) | 15741.5 | 0.0342768 | ||||||||
\(185\) | 622153. | + | 514800.i | 1.33650 | + | 1.10588i | ||||
\(186\) | −992.135 | −0.00210275 | ||||||||
\(187\) | − | 8246.43i | − | 0.0172449i | ||||||
\(188\) | − | 447838.i | − | 0.924115i | ||||||
\(189\) | 63771.9 | 0.129860 | ||||||||
\(190\) | −90146.4 | − | 74591.5i | −0.181161 | − | 0.149901i | ||||
\(191\) | 65407.8 | 0.129732 | 0.0648659 | − | 0.997894i | \(-0.479338\pi\) | ||||
0.0648659 | + | 0.997894i | \(0.479338\pi\) | |||||||
\(192\) | − | 203232.i | − | 0.397869i | ||||||
\(193\) | − | 661050.i | − | 1.27744i | −0.769439 | − | 0.638721i | \(-0.779464\pi\) | ||
0.769439 | − | 0.638721i | \(-0.220536\pi\) | |||||||
\(194\) | −127781. | −0.243759 | ||||||||
\(195\) | 167199. | − | 202065.i | 0.314881 | − | 0.380544i | ||||
\(196\) | 277055. | 0.515141 | ||||||||
\(197\) | − | 590186.i | − | 1.08349i | −0.840544 | − | 0.541743i | \(-0.817765\pi\) | ||
0.840544 | − | 0.541743i | \(-0.182235\pi\) | |||||||
\(198\) | − | 12911.9i | − | 0.0234061i | ||||||
\(199\) | 342750. | 0.613543 | 0.306771 | − | 0.951783i | \(-0.400751\pi\) | ||||
0.306771 | + | 0.951783i | \(0.400751\pi\) | |||||||
\(200\) | 251807. | − | 47979.8i | 0.445136 | − | 0.0848172i | ||||
\(201\) | −11286.2 | −0.0197041 | ||||||||
\(202\) | − | 73446.7i | − | 0.126647i | ||||||
\(203\) | − | 372045.i | − | 0.633658i | ||||||
\(204\) | −18563.3 | −0.0312306 | ||||||||
\(205\) | −219240. | + | 264959.i | −0.364364 | + | 0.440347i | ||||
\(206\) | 141581. | 0.232454 | ||||||||
\(207\) | 15544.2i | 0.0252141i | ||||||||
\(208\) | − | 448518.i | − | 0.718823i | ||||||
\(209\) | 192241. | 0.304424 | ||||||||
\(210\) | 44671.8 | + | 36963.6i | 0.0699013 | + | 0.0578397i | ||||
\(211\) | −214655. | −0.331921 | −0.165960 | − | 0.986132i | \(-0.553072\pi\) | ||||
−0.165960 | + | 0.986132i | \(0.553072\pi\) | |||||||
\(212\) | − | 331045.i | − | 0.505880i | ||||||
\(213\) | − | 428746.i | − | 0.647516i | ||||||
\(214\) | −33822.1 | −0.0504854 | ||||||||
\(215\) | 60668.0 | + | 50199.7i | 0.0895083 | + | 0.0740636i | ||||
\(216\) | −59798.3 | −0.0872076 | ||||||||
\(217\) | 7319.96i | 0.0105526i | ||||||||
\(218\) | − | 130199.i | − | 0.185553i | ||||||
\(219\) | 66222.1 | 0.0933023 | ||||||||
\(220\) | −130505. | + | 157719.i | −0.181790 | + | 0.219699i | ||||
\(221\) | −35527.3 | −0.0489307 | ||||||||
\(222\) | − | 171275.i | − | 0.233244i | ||||||
\(223\) | 118747.i | 0.159904i | 0.996799 | + | 0.0799521i | \(0.0254767\pi\) | ||||
−0.996799 | + | 0.0799521i | \(0.974523\pi\) | |||||||
\(224\) | 328779. | 0.437808 | ||||||||
\(225\) | 47378.6 | + | 248651.i | 0.0623916 | + | 0.327442i | ||||
\(226\) | −15881.4 | −0.0206832 | ||||||||
\(227\) | 2183.16i | 0.00281204i | 0.999999 | + | 0.00140602i | \(0.000447550\pi\) | ||||
−0.999999 | + | 0.00140602i | \(0.999552\pi\) | |||||||
\(228\) | − | 432747.i | − | 0.551312i | ||||||
\(229\) | −123704. | −0.155881 | −0.0779407 | − | 0.996958i | \(-0.524834\pi\) | ||||
−0.0779407 | + | 0.996958i | \(0.524834\pi\) | |||||||
\(230\) | −9009.77 | + | 10888.6i | −0.0112304 | + | 0.0135723i | ||||
\(231\) | −95264.2 | −0.117463 | ||||||||
\(232\) | 348863.i | 0.425534i | ||||||||
\(233\) | − | 1.16587e6i | − | 1.40689i | −0.710748 | − | 0.703446i | \(-0.751644\pi\) | ||
0.710748 | − | 0.703446i | \(-0.248356\pi\) | |||||||
\(234\) | −55627.3 | −0.0664122 | ||||||||
\(235\) | 637317. | + | 527347.i | 0.752811 | + | 0.622912i | ||||
\(236\) | 487229. | 0.569447 | ||||||||
\(237\) | 811661.i | 0.938650i | ||||||||
\(238\) | − | 7854.24i | − | 0.00898797i | ||||||
\(239\) | −770619. | −0.872659 | −0.436330 | − | 0.899787i | \(-0.643722\pi\) | ||||
−0.436330 | + | 0.899787i | \(0.643722\pi\) | |||||||
\(240\) | 333510. | + | 275963.i | 0.373750 | + | 0.309259i | ||||
\(241\) | −1.42541e6 | −1.58087 | −0.790434 | − | 0.612547i | \(-0.790145\pi\) | ||||
−0.790434 | + | 0.612547i | \(0.790145\pi\) | |||||||
\(242\) | 19288.2i | 0.0211716i | ||||||||
\(243\) | − | 59049.0i | − | 0.0641500i | ||||||
\(244\) | 1.24372e6 | 1.33736 | ||||||||
\(245\) | −326244. | + | 394277.i | −0.347238 | + | 0.419649i | ||||
\(246\) | 72941.7 | 0.0768490 | ||||||||
\(247\) | − | 828211.i | − | 0.863771i | ||||||
\(248\) | − | 6863.86i | − | 0.00708662i | ||||||
\(249\) | −97712.7 | −0.0998741 | ||||||||
\(250\) | −110935. | + | 201640.i | −0.112259 | + | 0.204046i | ||||
\(251\) | −668745. | −0.670002 | −0.335001 | − | 0.942218i | \(-0.608737\pi\) | ||||
−0.335001 | + | 0.942218i | \(0.608737\pi\) | |||||||
\(252\) | 214447.i | 0.212725i | ||||||||
\(253\) | − | 23220.4i | − | 0.0228070i | ||||||
\(254\) | −76348.5 | −0.0742534 | ||||||||
\(255\) | 21859.1 | − | 26417.4i | 0.0210514 | − | 0.0254413i | ||||
\(256\) | 524969. | 0.500650 | ||||||||
\(257\) | 1.08696e6i | 1.02655i | 0.858223 | + | 0.513276i | \(0.171568\pi\) | ||||
−0.858223 | + | 0.513276i | \(0.828432\pi\) | |||||||
\(258\) | − | 16701.5i | − | 0.0156209i | ||||||
\(259\) | −1.26366e6 | −1.17053 | ||||||||
\(260\) | 679487. | + | 562241.i | 0.623373 | + | 0.515809i | ||||
\(261\) | −344491. | −0.313024 | ||||||||
\(262\) | − | 163821.i | − | 0.147440i | ||||||
\(263\) | − | 865881.i | − | 0.771914i | −0.922517 | − | 0.385957i | \(-0.873871\pi\) | ||
0.922517 | − | 0.385957i | \(-0.126129\pi\) | |||||||
\(264\) | 89328.3 | 0.0788823 | ||||||||
\(265\) | 471110. | + | 389819.i | 0.412105 | + | 0.340996i | ||||
\(266\) | 183098. | 0.158664 | ||||||||
\(267\) | 1.01582e6i | 0.872049i | ||||||||
\(268\) | − | 37952.2i | − | 0.0322775i | ||||||
\(269\) | −455847. | −0.384094 | −0.192047 | − | 0.981386i | \(-0.561513\pi\) | ||||
−0.192047 | + | 0.981386i | \(0.561513\pi\) | |||||||
\(270\) | 34226.1 | − | 41363.4i | 0.0285725 | − | 0.0345308i | ||||
\(271\) | 1.93670e6 | 1.60191 | 0.800955 | − | 0.598725i | \(-0.204326\pi\) | ||||
0.800955 | + | 0.598725i | \(0.204326\pi\) | |||||||
\(272\) | − | 58638.1i | − | 0.0480571i | ||||||
\(273\) | 410417.i | 0.333288i | ||||||||
\(274\) | −538403. | −0.433243 | ||||||||
\(275\) | −70775.5 | − | 371442.i | −0.0564353 | − | 0.296183i | ||||
\(276\) | −52270.8 | −0.0413034 | ||||||||
\(277\) | − | 1.67891e6i | − | 1.31470i | −0.753584 | − | 0.657352i | \(-0.771677\pi\) | ||
0.753584 | − | 0.657352i | \(-0.228323\pi\) | |||||||
\(278\) | − | 498591.i | − | 0.386930i | ||||||
\(279\) | 6777.85 | 0.00521292 | ||||||||
\(280\) | −255724. | + | 309051.i | −0.194929 | + | 0.235578i | ||||
\(281\) | −1.66433e6 | −1.25740 | −0.628700 | − | 0.777648i | \(-0.716413\pi\) | ||||
−0.628700 | + | 0.777648i | \(0.716413\pi\) | |||||||
\(282\) | − | 175449.i | − | 0.131380i | ||||||
\(283\) | − | 529051.i | − | 0.392673i | −0.980537 | − | 0.196337i | \(-0.937095\pi\) | ||
0.980537 | − | 0.196337i | \(-0.0629045\pi\) | |||||||
\(284\) | 1.44175e6 | 1.06070 | ||||||||
\(285\) | 615842. | + | 509578.i | 0.449115 | + | 0.371620i | ||||
\(286\) | 83097.5 | 0.0600721 | ||||||||
\(287\) | − | 538163.i | − | 0.385664i | ||||||
\(288\) | − | 304430.i | − | 0.216275i | ||||||
\(289\) | 1.41521e6 | 0.996729 | ||||||||
\(290\) | −241314. | − | 199675.i | −0.168495 | − | 0.139421i | ||||
\(291\) | 872945. | 0.604302 | ||||||||
\(292\) | 222686.i | 0.152839i | ||||||||
\(293\) | 1.17586e6i | 0.800178i | 0.916476 | + | 0.400089i | \(0.131021\pi\) | ||||
−0.916476 | + | 0.400089i | \(0.868979\pi\) | |||||||
\(294\) | 108542. | 0.0732369 | ||||||||
\(295\) | −573733. | + | 693375.i | −0.383844 | + | 0.463888i | ||||
\(296\) | 1.18493e6 | 0.786071 | ||||||||
\(297\) | 88209.0i | 0.0580259i | ||||||||
\(298\) | 357436.i | 0.233162i | ||||||||
\(299\) | −100038. | −0.0647123 | ||||||||
\(300\) | −836144. | + | 159321.i | −0.536386 | + | 0.102204i | ||||
\(301\) | −123224. | −0.0783931 | ||||||||
\(302\) | − | 193328.i | − | 0.121977i | ||||||
\(303\) | 501757.i | 0.313969i | ||||||||
\(304\) | 1.36697e6 | 0.848349 | ||||||||
\(305\) | −1.46453e6 | + | 1.76993e6i | −0.901464 | + | 1.08945i | ||||
\(306\) | −7272.55 | −0.00444000 | ||||||||
\(307\) | 1.53089e6i | 0.927037i | 0.886087 | + | 0.463518i | \(0.153413\pi\) | ||||
−0.886087 | + | 0.463518i | \(0.846587\pi\) | |||||||
\(308\) | − | 320346.i | − | 0.192417i | ||||||
\(309\) | −967223. | −0.576276 | ||||||||
\(310\) | 4747.83 | + | 3928.59i | 0.00280602 | + | 0.00232184i | ||||
\(311\) | −1.11621e6 | −0.654400 | −0.327200 | − | 0.944955i | \(-0.606105\pi\) | ||||
−0.327200 | + | 0.944955i | \(0.606105\pi\) | |||||||
\(312\) | − | 384844.i | − | 0.223820i | ||||||
\(313\) | − | 864587.i | − | 0.498824i | −0.968397 | − | 0.249412i | \(-0.919763\pi\) | ||
0.968397 | − | 0.249412i | \(-0.0802374\pi\) | |||||||
\(314\) | −481596. | −0.275651 | ||||||||
\(315\) | −305179. | − | 252520.i | −0.173292 | − | 0.143390i | ||||
\(316\) | −2.72938e6 | −1.53761 | ||||||||
\(317\) | − | 1.80604e6i | − | 1.00943i | −0.863285 | − | 0.504717i | \(-0.831597\pi\) | ||
0.863285 | − | 0.504717i | \(-0.168403\pi\) | |||||||
\(318\) | − | 129694.i | − | 0.0719202i | ||||||
\(319\) | 514611. | 0.283140 | ||||||||
\(320\) | −804746. | + | 972563.i | −0.439323 | + | 0.530937i | ||||
\(321\) | 231058. | 0.125158 | ||||||||
\(322\) | − | 22116.0i | − | 0.0118869i | ||||||
\(323\) | − | 108278.i | − | 0.0577476i | ||||||
\(324\) | 198565. | 0.105085 | ||||||||
\(325\) | −1.60025e6 | + | 304915.i | −0.840386 | + | 0.160129i | ||||
\(326\) | −21994.5 | −0.0114623 | ||||||||
\(327\) | 889466.i | 0.460003i | ||||||||
\(328\) | 504630.i | 0.258994i | ||||||||
\(329\) | −1.29446e6 | −0.659326 | ||||||||
\(330\) | −51127.9 | + | 61789.8i | −0.0258448 | + | 0.0312343i | ||||
\(331\) | 1.85701e6 | 0.931634 | 0.465817 | − | 0.884881i | \(-0.345761\pi\) | ||||
0.465817 | + | 0.884881i | \(0.345761\pi\) | |||||||
\(332\) | − | 328580.i | − | 0.163605i | ||||||
\(333\) | 1.17008e6i | 0.578235i | ||||||||
\(334\) | −749068. | −0.367413 | ||||||||
\(335\) | 54009.8 | + | 44690.3i | 0.0262942 | + | 0.0217571i | ||||
\(336\) | −677397. | −0.327337 | ||||||||
\(337\) | 2.18068e6i | 1.04597i | 0.852343 | + | 0.522983i | \(0.175181\pi\) | ||||
−0.852343 | + | 0.522983i | \(0.824819\pi\) | |||||||
\(338\) | 131145.i | 0.0624395i | ||||||||
\(339\) | 108495. | 0.0512757 | ||||||||
\(340\) | 88834.2 | + | 73505.8i | 0.0416757 | + | 0.0344845i | ||||
\(341\) | −10124.9 | −0.00471527 | ||||||||
\(342\) | − | 169538.i | − | 0.0783792i | ||||||
\(343\) | − | 2.27108e6i | − | 1.04231i | ||||||
\(344\) | 115546. | 0.0526451 | ||||||||
\(345\) | 61551.0 | − | 74386.4i | 0.0278411 | − | 0.0336470i | ||||
\(346\) | −727478. | −0.326685 | ||||||||
\(347\) | 2.59930e6i | 1.15886i | 0.815021 | + | 0.579432i | \(0.196726\pi\) | ||||
−0.815021 | + | 0.579432i | \(0.803274\pi\) | |||||||
\(348\) | − | 1.15843e6i | − | 0.512767i | ||||||
\(349\) | −1.17216e6 | −0.515138 | −0.257569 | − | 0.966260i | \(-0.582921\pi\) | ||||
−0.257569 | + | 0.966260i | \(0.582921\pi\) | |||||||
\(350\) | −67409.5 | − | 353777.i | −0.0294138 | − | 0.154369i | ||||
\(351\) | 380022. | 0.164642 | ||||||||
\(352\) | 454765.i | 0.195628i | ||||||||
\(353\) | − | 1.57881e6i | − | 0.674364i | −0.941440 | − | 0.337182i | \(-0.890526\pi\) | ||
0.941440 | − | 0.337182i | \(-0.109474\pi\) | |||||||
\(354\) | 190882. | 0.0809574 | ||||||||
\(355\) | −1.69772e6 | + | 2.05175e6i | −0.714982 | + | 0.864079i | ||||
\(356\) | −3.41593e6 | −1.42851 | ||||||||
\(357\) | 53656.8i | 0.0222820i | ||||||||
\(358\) | 237085.i | 0.0977678i | ||||||||
\(359\) | −3.19520e6 | −1.30847 | −0.654233 | − | 0.756293i | \(-0.727008\pi\) | ||||
−0.654233 | + | 0.756293i | \(0.727008\pi\) | |||||||
\(360\) | 286163. | + | 236785.i | 0.116374 | + | 0.0962939i | ||||
\(361\) | 48073.9 | 0.0194152 | ||||||||
\(362\) | 806834.i | 0.323603i | ||||||||
\(363\) | − | 131769.i | − | 0.0524864i | ||||||
\(364\) | −1.38012e6 | −0.545962 | ||||||||
\(365\) | −316904. | − | 262222.i | −0.124507 | − | 0.103024i | ||||
\(366\) | 487252. | 0.190130 | ||||||||
\(367\) | 2.52046e6i | 0.976819i | 0.872615 | + | 0.488409i | \(0.162423\pi\) | ||||
−0.872615 | + | 0.488409i | \(0.837577\pi\) | |||||||
\(368\) | − | 165114.i | − | 0.0635570i | ||||||
\(369\) | −498307. | −0.190516 | ||||||||
\(370\) | −678203. | + | 819631.i | −0.257546 | + | 0.311253i | ||||
\(371\) | −956879. | −0.360929 | ||||||||
\(372\) | 22792.0i | 0.00853934i | ||||||||
\(373\) | − | 1.66879e6i | − | 0.621053i | −0.950565 | − | 0.310527i | \(-0.899495\pi\) | ||
0.950565 | − | 0.310527i | \(-0.100505\pi\) | |||||||
\(374\) | 10863.9 | 0.00401614 | ||||||||
\(375\) | 757865. | − | 1.37752e6i | 0.278300 | − | 0.505848i | ||||
\(376\) | 1.21381e6 | 0.442772 | ||||||||
\(377\) | − | 2.21705e6i | − | 0.803380i | ||||||
\(378\) | 84013.9i | 0.0302428i | ||||||||
\(379\) | 3.13030e6 | 1.11941 | 0.559704 | − | 0.828692i | \(-0.310915\pi\) | ||||
0.559704 | + | 0.828692i | \(0.310915\pi\) | |||||||
\(380\) | −1.71357e6 | + | 2.07090e6i | −0.608754 | + | 0.735699i | ||||
\(381\) | 521581. | 0.184081 | ||||||||
\(382\) | 86169.0i | 0.0302129i | ||||||||
\(383\) | − | 4.30969e6i | − | 1.50124i | −0.660737 | − | 0.750618i | \(-0.729756\pi\) | ||
0.660737 | − | 0.750618i | \(-0.270244\pi\) | |||||||
\(384\) | 1.35016e6 | 0.467257 | ||||||||
\(385\) | 455884. | + | 377221.i | 0.156748 | + | 0.129701i | ||||
\(386\) | 870875. | 0.297500 | ||||||||
\(387\) | 114098.i | 0.0387258i | ||||||||
\(388\) | 2.93546e6i | 0.989914i | ||||||||
\(389\) | 2.45755e6 | 0.823432 | 0.411716 | − | 0.911312i | \(-0.364929\pi\) | ||||
0.411716 | + | 0.911312i | \(0.364929\pi\) | |||||||
\(390\) | 266203. | + | 220269.i | 0.0886239 | + | 0.0733318i | ||||
\(391\) | −13078.7 | −0.00432636 | ||||||||
\(392\) | 750923.i | 0.246820i | ||||||||
\(393\) | 1.11915e6i | 0.365518i | ||||||||
\(394\) | 777518. | 0.252330 | ||||||||
\(395\) | 3.21396e6 | − | 3.88418e6i | 1.03645 | − | 1.25258i | ||||
\(396\) | −296622. | −0.0950528 | ||||||||
\(397\) | 5.93203e6i | 1.88898i | 0.328544 | + | 0.944489i | \(0.393442\pi\) | ||||
−0.328544 | + | 0.944489i | \(0.606558\pi\) | |||||||
\(398\) | 451543.i | 0.142887i | ||||||||
\(399\) | −1.25085e6 | −0.393343 | ||||||||
\(400\) | −503265. | − | 2.64122e6i | −0.157270 | − | 0.825382i | ||||
\(401\) | 4.56758e6 | 1.41849 | 0.709243 | − | 0.704964i | \(-0.249037\pi\) | ||||
0.709243 | + | 0.704964i | \(0.249037\pi\) | |||||||
\(402\) | − | 14868.6i | − | 0.00458885i | ||||||
\(403\) | 43620.2i | 0.0133791i | ||||||||
\(404\) | −1.68727e6 | −0.514316 | ||||||||
\(405\) | −233818. | + | 282577.i | −0.0708339 | + | 0.0856051i | ||||
\(406\) | 490136. | 0.147571 | ||||||||
\(407\) | − | 1.74789e6i | − | 0.523033i | ||||||
\(408\) | − | 50313.5i | − | 0.0149635i | ||||||
\(409\) | 5.87934e6 | 1.73788 | 0.868941 | − | 0.494915i | \(-0.164801\pi\) | ||||
0.868941 | + | 0.494915i | \(0.164801\pi\) | |||||||
\(410\) | −349061. | − | 288830.i | −0.102551 | − | 0.0848560i | ||||
\(411\) | 3.67814e6 | 1.07405 | ||||||||
\(412\) | − | 3.25249e6i | − | 0.944003i | ||||||
\(413\) | − | 1.40833e6i | − | 0.406282i | ||||||
\(414\) | −20478.1 | −0.00587205 | ||||||||
\(415\) | 467601. | + | 386916.i | 0.133277 | + | 0.110280i | ||||
\(416\) | 1.95922e6 | 0.555072 | ||||||||
\(417\) | 3.40616e6i | 0.959236i | ||||||||
\(418\) | 253260.i | 0.0708966i | ||||||||
\(419\) | −6.12464e6 | −1.70430 | −0.852149 | − | 0.523299i | \(-0.824701\pi\) | ||||
−0.852149 | + | 0.523299i | \(0.824701\pi\) | |||||||
\(420\) | 849152. | − | 1.02623e6i | 0.234889 | − | 0.283871i | ||||
\(421\) | −2.83114e6 | −0.778495 | −0.389248 | − | 0.921133i | \(-0.627265\pi\) | ||||
−0.389248 | + | 0.921133i | \(0.627265\pi\) | |||||||
\(422\) | − | 282789.i | − | 0.0773003i | ||||||
\(423\) | 1.19860e6i | 0.325703i | ||||||||
\(424\) | 897256. | 0.242383 | ||||||||
\(425\) | −209212. | + | 39863.7i | −0.0561842 | + | 0.0107055i | ||||
\(426\) | 564834. | 0.150799 | ||||||||
\(427\) | − | 3.59494e6i | − | 0.954161i | ||||||
\(428\) | 776983.i | 0.205023i | ||||||||
\(429\) | −567687. | −0.148924 | ||||||||
\(430\) | −66133.6 | + | 79924.7i | −0.0172485 | + | 0.0208454i | ||||
\(431\) | 6.20538e6 | 1.60907 | 0.804536 | − | 0.593904i | \(-0.202414\pi\) | ||||
0.804536 | + | 0.593904i | \(0.202414\pi\) | |||||||
\(432\) | 627230.i | 0.161703i | ||||||||
\(433\) | − | 422736.i | − | 0.108355i | −0.998531 | − | 0.0541775i | \(-0.982746\pi\) | ||
0.998531 | − | 0.0541775i | \(-0.0172537\pi\) | |||||||
\(434\) | −9643.40 | −0.00245757 | ||||||||
\(435\) | 1.64855e6 | + | 1.36409e6i | 0.417715 | + | 0.345638i | ||||
\(436\) | −2.99102e6 | −0.753535 | ||||||||
\(437\) | − | 304890.i | − | 0.0763730i | ||||||
\(438\) | 87241.7i | 0.0217290i | ||||||||
\(439\) | 4.07012e6 | 1.00797 | 0.503983 | − | 0.863713i | \(-0.331867\pi\) | ||||
0.503983 | + | 0.863713i | \(0.331867\pi\) | |||||||
\(440\) | −427478. | − | 353717.i | −0.105265 | − | 0.0871011i | ||||
\(441\) | −741514. | −0.181561 | ||||||||
\(442\) | − | 46804.0i | − | 0.0113953i | ||||||
\(443\) | − | 4.95245e6i | − | 1.19898i | −0.800384 | − | 0.599488i | \(-0.795371\pi\) | ||
0.800384 | − | 0.599488i | \(-0.204629\pi\) | |||||||
\(444\) | −3.93464e6 | −0.947212 | ||||||||
\(445\) | 4.02240e6 | − | 4.86120e6i | 0.962908 | − | 1.16371i | ||||
\(446\) | −156438. | −0.0372397 | ||||||||
\(447\) | − | 2.44185e6i | − | 0.578029i | ||||||
\(448\) | − | 1.97539e6i | − | 0.465004i | ||||||
\(449\) | −7.34037e6 | −1.71831 | −0.859157 | − | 0.511713i | \(-0.829011\pi\) | ||||
−0.859157 | + | 0.511713i | \(0.829011\pi\) | |||||||
\(450\) | −327576. | + | 62417.1i | −0.0762572 | + | 0.0145302i | ||||
\(451\) | 744385. | 0.172328 | ||||||||
\(452\) | 364838.i | 0.0839952i | ||||||||
\(453\) | 1.32073e6i | 0.302392i | ||||||||
\(454\) | −2876.12 | −0.000654888 | ||||||||
\(455\) | 1.62514e6 | − | 1.96404e6i | 0.368013 | − | 0.444756i | ||||
\(456\) | 1.17291e6 | 0.264150 | ||||||||
\(457\) | 2.07655e6i | 0.465106i | 0.972584 | + | 0.232553i | \(0.0747080\pi\) | ||||
−0.972584 | + | 0.232553i | \(0.925292\pi\) | |||||||
\(458\) | − | 162969.i | − | 0.0363029i | ||||||
\(459\) | 49683.0 | 0.0110072 | ||||||||
\(460\) | 250140. | + | 206978.i | 0.0551174 | + | 0.0456069i | ||||
\(461\) | −1.68917e6 | −0.370186 | −0.185093 | − | 0.982721i | \(-0.559259\pi\) | ||||
−0.185093 | + | 0.982721i | \(0.559259\pi\) | |||||||
\(462\) | − | 125502.i | − | 0.0273556i | ||||||
\(463\) | 1.35953e6i | 0.294739i | 0.989082 | + | 0.147369i | \(0.0470806\pi\) | ||||
−0.989082 | + | 0.147369i | \(0.952919\pi\) | |||||||
\(464\) | 3.65925e6 | 0.789037 | ||||||||
\(465\) | −32435.2 | − | 26838.5i | −0.00695639 | − | 0.00575606i | ||||
\(466\) | 1.53593e6 | 0.327648 | ||||||||
\(467\) | − | 8.47580e6i | − | 1.79841i | −0.437528 | − | 0.899205i | \(-0.644146\pi\) | ||
0.437528 | − | 0.899205i | \(-0.355854\pi\) | |||||||
\(468\) | 1.27791e6i | 0.269702i | ||||||||
\(469\) | −109700. | −0.0230290 | ||||||||
\(470\) | −694733. | + | 839608.i | −0.145069 | + | 0.175320i | ||||
\(471\) | 3.29006e6 | 0.683363 | ||||||||
\(472\) | 1.32057e6i | 0.272840i | ||||||||
\(473\) | − | 170442.i | − | 0.0350288i | ||||||
\(474\) | −1.06929e6 | −0.218600 | ||||||||
\(475\) | −929302. | − | 4.87714e6i | −0.188983 | − | 0.991817i | ||||
\(476\) | −180433. | −0.0365004 | ||||||||
\(477\) | 886013.i | 0.178297i | ||||||||
\(478\) | − | 1.01522e6i | − | 0.203232i | ||||||
\(479\) | 3.52896e6 | 0.702762 | 0.351381 | − | 0.936233i | \(-0.385712\pi\) | ||||
0.351381 | + | 0.936233i | \(0.385712\pi\) | |||||||
\(480\) | −1.20546e6 | + | 1.45684e6i | −0.238808 | + | 0.288608i | ||||
\(481\) | −7.53028e6 | −1.48405 | ||||||||
\(482\) | − | 1.87784e6i | − | 0.368165i | ||||||
\(483\) | 151087.i | 0.0294687i | ||||||||
\(484\) | 443101. | 0.0859785 | ||||||||
\(485\) | −4.17745e6 | − | 3.45663e6i | −0.806413 | − | 0.667265i | ||||
\(486\) | 77791.8 | 0.0149397 | ||||||||
\(487\) | 4.66713e6i | 0.891719i | 0.895103 | + | 0.445859i | \(0.147102\pi\) | ||||
−0.895103 | + | 0.445859i | \(0.852898\pi\) | |||||||
\(488\) | 3.37094e6i | 0.640768i | ||||||||
\(489\) | 150257. | 0.0284160 | ||||||||
\(490\) | −519425. | − | 429798.i | −0.0977311 | − | 0.0808675i | ||||
\(491\) | −7.22516e6 | −1.35252 | −0.676260 | − | 0.736663i | \(-0.736400\pi\) | ||||
−0.676260 | + | 0.736663i | \(0.736400\pi\) | |||||||
\(492\) | − | 1.67566e6i | − | 0.312086i | ||||||
\(493\) | − | 289850.i | − | 0.0537102i | ||||||
\(494\) | 1.09109e6 | 0.201162 | ||||||||
\(495\) | 349284. | − | 422122.i | 0.0640717 | − | 0.0774328i | ||||
\(496\) | −71995.6 | −0.0131402 | ||||||||
\(497\) | − | 4.16734e6i | − | 0.756777i | ||||||
\(498\) | − | 128728.i | − | 0.0232594i | ||||||
\(499\) | 1.04815e7 | 1.88440 | 0.942202 | − | 0.335046i | \(-0.108752\pi\) | ||||
0.942202 | + | 0.335046i | \(0.108752\pi\) | |||||||
\(500\) | 4.63221e6 | + | 2.54848e6i | 0.828635 | + | 0.455886i | ||||
\(501\) | 5.11731e6 | 0.910852 | ||||||||
\(502\) | − | 881012.i | − | 0.156035i | ||||||
\(503\) | 8.37701e6i | 1.47628i | 0.674647 | + | 0.738140i | \(0.264296\pi\) | ||||
−0.674647 | + | 0.738140i | \(0.735704\pi\) | |||||||
\(504\) | −581230. | −0.101923 | ||||||||
\(505\) | 1.98682e6 | − | 2.40114e6i | 0.346682 | − | 0.418977i | ||||
\(506\) | 30590.8 | 0.00531146 | ||||||||
\(507\) | − | 895926.i | − | 0.154793i | ||||||
\(508\) | 1.75393e6i | 0.301545i | ||||||||
\(509\) | −3.17550e6 | −0.543272 | −0.271636 | − | 0.962400i | \(-0.587565\pi\) | ||||
−0.271636 | + | 0.962400i | \(0.587565\pi\) | |||||||
\(510\) | 34802.6 | + | 28797.4i | 0.00592497 | + | 0.00490261i | ||||
\(511\) | 643668. | 0.109046 | ||||||||
\(512\) | 5.49216e6i | 0.925908i | ||||||||
\(513\) | 1.15821e6i | 0.194309i | ||||||||
\(514\) | −1.43198e6 | −0.239071 | ||||||||
\(515\) | 4.62862e6 | + | 3.82995e6i | 0.769012 | + | 0.636318i | ||||
\(516\) | −383678. | −0.0634371 | ||||||||
\(517\) | − | 1.79050e6i | − | 0.294610i | ||||||
\(518\) | − | 1.66477e6i | − | 0.272602i | ||||||
\(519\) | 4.96982e6 | 0.809884 | ||||||||
\(520\) | −1.52388e6 | + | 1.84166e6i | −0.247140 | + | 0.298677i | ||||
\(521\) | 3.72507e6 | 0.601230 | 0.300615 | − | 0.953746i | \(-0.402808\pi\) | ||||
0.300615 | + | 0.953746i | \(0.402808\pi\) | |||||||
\(522\) | − | 453837.i | − | 0.0728993i | ||||||
\(523\) | 3.77963e6i | 0.604219i | 0.953273 | + | 0.302110i | \(0.0976909\pi\) | ||||
−0.953273 | + | 0.302110i | \(0.902309\pi\) | |||||||
\(524\) | −3.76339e6 | −0.598758 | ||||||||
\(525\) | 460513. | + | 2.41685e6i | 0.0729195 | + | 0.382694i | ||||
\(526\) | 1.14072e6 | 0.179769 | ||||||||
\(527\) | 5702.79i | 0.000894460i | ||||||||
\(528\) | − | 936973.i | − | 0.146266i | ||||||
\(529\) | 6.39952e6 | 0.994278 | ||||||||
\(530\) | −513553. | + | 620646.i | −0.0794137 | + | 0.0959741i | ||||
\(531\) | −1.30403e6 | −0.200701 | ||||||||
\(532\) | − | 4.20624e6i | − | 0.644340i | ||||||
\(533\) | − | 3.20696e6i | − | 0.488962i | ||||||
\(534\) | −1.33826e6 | −0.203089 | ||||||||
\(535\) | −1.10572e6 | − | 914929.i | −0.167017 | − | 0.138198i | ||||
\(536\) | 102865. | 0.0154652 | ||||||||
\(537\) | − | 1.61966e6i | − | 0.242375i | ||||||
\(538\) | − | 600538.i | − | 0.0894509i | ||||||
\(539\) | 1.10769e6 | 0.164228 | ||||||||
\(540\) | −950227. | − | 786264.i | −0.140231 | − | 0.116034i | ||||
\(541\) | −6.08511e6 | −0.893871 | −0.446936 | − | 0.894566i | \(-0.647485\pi\) | ||||
−0.446936 | + | 0.894566i | \(0.647485\pi\) | |||||||
\(542\) | 2.55142e6i | 0.373065i | ||||||||
\(543\) | − | 5.51195e6i | − | 0.802243i | ||||||
\(544\) | 256143. | 0.0371095 | ||||||||
\(545\) | 3.52205e6 | − | 4.25652e6i | 0.507931 | − | 0.613851i | ||||
\(546\) | −540689. | −0.0776186 | ||||||||
\(547\) | − | 2.49034e6i | − | 0.355870i | −0.984042 | − | 0.177935i | \(-0.943058\pi\) | ||
0.984042 | − | 0.177935i | \(-0.0569416\pi\) | |||||||
\(548\) | 1.23685e7i | 1.75941i | ||||||||
\(549\) | −3.32870e6 | −0.471350 | ||||||||
\(550\) | 489342. | − | 93240.4i | 0.0689773 | − | 0.0131431i | ||||
\(551\) | 6.75698e6 | 0.948143 | ||||||||
\(552\) | − | 141673.i | − | 0.0197897i | ||||||
\(553\) | 7.88922e6i | 1.09704i | ||||||||
\(554\) | 2.21181e6 | 0.306178 | ||||||||
\(555\) | 4.63320e6 | − | 5.59937e6i | 0.638481 | − | 0.771626i | ||||
\(556\) | −1.14540e7 | −1.57133 | ||||||||
\(557\) | 5.36235e6i | 0.732347i | 0.930547 | + | 0.366173i | \(0.119332\pi\) | ||||
−0.930547 | + | 0.366173i | \(0.880668\pi\) | |||||||
\(558\) | 8929.21i | 0.00121403i | ||||||||
\(559\) | −734300. | −0.0993903 | ||||||||
\(560\) | 3.24167e6 | + | 2.68231e6i | 0.436816 | + | 0.361443i | ||||
\(561\) | −74217.9 | −0.00995638 | ||||||||
\(562\) | − | 2.19261e6i | − | 0.292833i | ||||||
\(563\) | 479316.i | 0.0637310i | 0.999492 | + | 0.0318655i | \(0.0101448\pi\) | ||||
−0.999492 | + | 0.0318655i | \(0.989855\pi\) | |||||||
\(564\) | −4.03054e6 | −0.533538 | ||||||||
\(565\) | −519201. | − | 429612.i | −0.0684249 | − | 0.0566181i | ||||
\(566\) | 696978. | 0.0914488 | ||||||||
\(567\) | − | 573947.i | − | 0.0749746i | ||||||
\(568\) | 3.90768e6i | 0.508215i | ||||||||
\(569\) | −3.08333e6 | −0.399245 | −0.199623 | − | 0.979873i | \(-0.563972\pi\) | ||||
−0.199623 | + | 0.979873i | \(0.563972\pi\) | |||||||
\(570\) | −671324. | + | 811317.i | −0.0865456 | + | 0.104593i | ||||
\(571\) | −5.85646e6 | −0.751701 | −0.375850 | − | 0.926680i | \(-0.622649\pi\) | ||||
−0.375850 | + | 0.926680i | \(0.622649\pi\) | |||||||
\(572\) | − | 1.90897e6i | − | 0.243955i | ||||||
\(573\) | − | 588670.i | − | 0.0749007i | ||||||
\(574\) | 708982. | 0.0898164 | ||||||||
\(575\) | −589101. | + | 112249.i | −0.0743054 | + | 0.0141583i | ||||
\(576\) | −1.82909e6 | −0.229710 | ||||||||
\(577\) | − | 5.66144e6i | − | 0.707925i | −0.935260 | − | 0.353963i | \(-0.884834\pi\) | ||
0.935260 | − | 0.353963i | \(-0.115166\pi\) | |||||||
\(578\) | 1.86442e6i | 0.232126i | ||||||||
\(579\) | −5.94945e6 | −0.737531 | ||||||||
\(580\) | −4.58706e6 | + | 5.54362e6i | −0.566193 | + | 0.684263i | ||||
\(581\) | −949753. | −0.116727 | ||||||||
\(582\) | 1.15003e6i | 0.140735i | ||||||||
\(583\) | − | 1.32355e6i | − | 0.161276i | ||||||
\(584\) | −603562. | −0.0732301 | ||||||||
\(585\) | −1.81859e6 | − | 1.50479e6i | −0.219707 | − | 0.181796i | ||||
\(586\) | −1.54909e6 | −0.186352 | ||||||||
\(587\) | − | 1.39978e7i | − | 1.67674i | −0.545104 | − | 0.838368i | \(-0.683510\pi\) | ||
0.545104 | − | 0.838368i | \(-0.316490\pi\) | |||||||
\(588\) | − | 2.49350e6i | − | 0.297417i | ||||||
\(589\) | −132943. | −0.0157899 | ||||||||
\(590\) | −913460. | − | 755842.i | −0.108034 | − | 0.0893925i | ||||
\(591\) | −5.31167e6 | −0.625551 | ||||||||
\(592\) | − | 1.24288e7i | − | 1.45755i | ||||||
\(593\) | 1.27936e7i | 1.49402i | 0.664810 | + | 0.747012i | \(0.268512\pi\) | ||||
−0.664810 | + | 0.747012i | \(0.731488\pi\) | |||||||
\(594\) | −116208. | −0.0135135 | ||||||||
\(595\) | 212467. | − | 256773.i | 0.0246036 | − | 0.0297343i | ||||
\(596\) | 8.21124e6 | 0.946876 | ||||||||
\(597\) | − | 3.08475e6i | − | 0.354229i | ||||||
\(598\) | − | 131791.i | − | 0.0150707i | ||||||
\(599\) | 1.21733e7 | 1.38625 | 0.693125 | − | 0.720818i | \(-0.256234\pi\) | ||||
0.693125 | + | 0.720818i | \(0.256234\pi\) | |||||||
\(600\) | −431819. | − | 2.26626e6i | −0.0489692 | − | 0.256999i | ||||
\(601\) | −6.74801e6 | −0.762060 | −0.381030 | − | 0.924563i | \(-0.624431\pi\) | ||||
−0.381030 | + | 0.924563i | \(0.624431\pi\) | |||||||
\(602\) | − | 162336.i | − | 0.0182568i | ||||||
\(603\) | 101576.i | 0.0113762i | ||||||||
\(604\) | −4.44125e6 | −0.495351 | ||||||||
\(605\) | −521770. | + | 630577.i | −0.0579550 | + | 0.0700406i | ||||
\(606\) | −661020. | −0.0731195 | ||||||||
\(607\) | 1.16658e7i | 1.28512i | 0.766234 | + | 0.642561i | \(0.222128\pi\) | ||||
−0.766234 | + | 0.642561i | \(0.777872\pi\) | |||||||
\(608\) | 5.97120e6i | 0.655092i | ||||||||
\(609\) | −3.34840e6 | −0.365843 | ||||||||
\(610\) | −2.33173e6 | − | 1.92939e6i | −0.253719 | − | 0.209940i | ||||
\(611\) | −7.71382e6 | −0.835923 | ||||||||
\(612\) | 167070.i | 0.0180310i | ||||||||
\(613\) | 1.36615e7i | 1.46841i | 0.678928 | + | 0.734204i | \(0.262445\pi\) | ||||
−0.678928 | + | 0.734204i | \(0.737555\pi\) | |||||||
\(614\) | −2.01681e6 | −0.215895 | ||||||||
\(615\) | 2.38464e6 | + | 1.97316e6i | 0.254234 | + | 0.210366i | ||||
\(616\) | 868258. | 0.0921928 | ||||||||
\(617\) | 1.15742e7i | 1.22399i | 0.790862 | + | 0.611995i | \(0.209633\pi\) | ||||
−0.790862 | + | 0.611995i | \(0.790367\pi\) | |||||||
\(618\) | − | 1.27423e6i | − | 0.134207i | ||||||
\(619\) | −9.22658e6 | −0.967863 | −0.483932 | − | 0.875106i | \(-0.660792\pi\) | ||||
−0.483932 | + | 0.875106i | \(0.660792\pi\) | |||||||
\(620\) | 90250.1 | − | 109070.i | 0.00942906 | − | 0.0113953i | ||||
\(621\) | 139898. | 0.0145574 | ||||||||
\(622\) | − | 1.47050e6i | − | 0.152402i | ||||||
\(623\) | 9.87366e6i | 1.01920i | ||||||||
\(624\) | −4.03667e6 | −0.415013 | ||||||||
\(625\) | −9.08136e6 | + | 3.59115e6i | −0.929931 | + | 0.367734i | ||||
\(626\) | 1.13902e6 | 0.116170 | ||||||||
\(627\) | − | 1.73016e6i | − | 0.175759i | ||||||
\(628\) | 1.10635e7i | 1.11942i | ||||||||
\(629\) | −984487. | −0.0992164 | ||||||||
\(630\) | 332673. | − | 402046.i | 0.0333938 | − | 0.0403575i | ||||
\(631\) | 1.03002e7 | 1.02985 | 0.514923 | − | 0.857237i | \(-0.327821\pi\) | ||||
0.514923 | + | 0.857237i | \(0.327821\pi\) | |||||||
\(632\) | − | 7.39764e6i | − | 0.736717i | ||||||
\(633\) | 1.93189e6i | 0.191635i | ||||||||
\(634\) | 2.37929e6 | 0.235085 | ||||||||
\(635\) | −2.49601e6 | − | 2.06532e6i | −0.245647 | − | 0.203261i | ||||
\(636\) | −2.97941e6 | −0.292070 | ||||||||
\(637\) | − | 4.77217e6i | − | 0.465980i | ||||||
\(638\) | 677954.i | 0.0659399i | ||||||||
\(639\) | −3.85871e6 | −0.373844 | ||||||||
\(640\) | −6.46114e6 | − | 5.34626e6i | −0.623532 | − | 0.515941i | ||||
\(641\) | −3.06165e6 | −0.294313 | −0.147157 | − | 0.989113i | \(-0.547012\pi\) | ||||
−0.147157 | + | 0.989113i | \(0.547012\pi\) | |||||||
\(642\) | 304399.i | 0.0291478i | ||||||||
\(643\) | 1.62044e6i | 0.154563i | 0.997009 | + | 0.0772813i | \(0.0246240\pi\) | ||||
−0.997009 | + | 0.0772813i | \(0.975376\pi\) | |||||||
\(644\) | −508064. | −0.0482729 | ||||||||
\(645\) | 451797. | − | 546012.i | 0.0427606 | − | 0.0516777i | ||||
\(646\) | 142647. | 0.0134487 | ||||||||
\(647\) | 1.57992e6i | 0.148380i | 0.997244 | + | 0.0741900i | \(0.0236371\pi\) | ||||
−0.997244 | + | 0.0741900i | \(0.976363\pi\) | |||||||
\(648\) | 538185.i | 0.0503494i | ||||||||
\(649\) | 1.94799e6 | 0.181541 | ||||||||
\(650\) | −401698. | − | 2.10818e6i | −0.0372921 | − | 0.195716i | ||||
\(651\) | 65879.6 | 0.00609254 | ||||||||
\(652\) | 505272.i | 0.0465486i | ||||||||
\(653\) | − | 1.29080e6i | − | 0.118462i | −0.998244 | − | 0.0592308i | \(-0.981135\pi\) | ||
0.998244 | − | 0.0592308i | \(-0.0188648\pi\) | |||||||
\(654\) | −1.17179e6 | −0.107129 | ||||||||
\(655\) | 4.43155e6 | − | 5.35568e6i | 0.403601 | − | 0.487766i | ||||
\(656\) | 5.29311e6 | 0.480232 | ||||||||
\(657\) | − | 595999.i | − | 0.0538681i | ||||||
\(658\) | − | 1.70534e6i | − | 0.153549i | ||||||
\(659\) | −1.44401e7 | −1.29525 | −0.647627 | − | 0.761957i | \(-0.724239\pi\) | ||||
−0.647627 | + | 0.761957i | \(0.724239\pi\) | |||||||
\(660\) | 1.41947e6 | + | 1.17454e6i | 0.126843 | + | 0.104956i | ||||
\(661\) | 8.80403e6 | 0.783751 | 0.391875 | − | 0.920018i | \(-0.371826\pi\) | ||||
0.391875 | + | 0.920018i | \(0.371826\pi\) | |||||||
\(662\) | 2.44645e6i | 0.216966i | ||||||||
\(663\) | 319745.i | 0.0282501i | ||||||||
\(664\) | 890574. | 0.0783880 | ||||||||
\(665\) | 5.98589e6 | + | 4.95302e6i | 0.524898 | + | 0.434326i | ||||
\(666\) | −1.54147e6 | −0.134664 | ||||||||
\(667\) | − | 816163.i | − | 0.0710334i | ||||||
\(668\) | 1.72081e7i | 1.49208i | ||||||||
\(669\) | 1.06872e6 | 0.0923207 | ||||||||
\(670\) | −58875.5 | + | 71153.1i | −0.00506697 | + | 0.00612360i | ||||
\(671\) | 4.97250e6 | 0.426352 | ||||||||
\(672\) | − | 2.95901e6i | − | 0.252769i | ||||||
\(673\) | − | 1.43891e7i | − | 1.22461i | −0.790623 | − | 0.612303i | \(-0.790243\pi\) | ||
0.790623 | − | 0.612303i | \(-0.209757\pi\) | |||||||
\(674\) | −2.87286e6 | −0.243593 | ||||||||
\(675\) | 2.23786e6 | − | 426408.i | 0.189049 | − | 0.0360218i | ||||
\(676\) | 3.01274e6 | 0.253569 | ||||||||
\(677\) | 1.21710e7i | 1.02060i | 0.859997 | + | 0.510299i | \(0.170465\pi\) | ||||
−0.859997 | + | 0.510299i | \(0.829535\pi\) | |||||||
\(678\) | 142933.i | 0.0119415i | ||||||||
\(679\) | 8.48489e6 | 0.706272 | ||||||||
\(680\) | −199228. | + | 240774.i | −0.0165226 | + | 0.0199681i | ||||
\(681\) | 19648.4 | 0.00162353 | ||||||||
\(682\) | − | 13338.7i | − | 0.00109813i | ||||||
\(683\) | 5.96383e6i | 0.489186i | 0.969626 | + | 0.244593i | \(0.0786543\pi\) | ||||
−0.969626 | + | 0.244593i | \(0.921346\pi\) | |||||||
\(684\) | −3.89473e6 | −0.318300 | ||||||||
\(685\) | −1.76017e7 | − | 1.45645e7i | −1.43327 | − | 1.18596i | ||||
\(686\) | 2.99194e6 | 0.242741 | ||||||||
\(687\) | 1.11333e6i | 0.0899982i | ||||||||
\(688\) | − | 1.21197e6i | − | 0.0976158i | ||||||
\(689\) | −5.70212e6 | −0.457602 | ||||||||
\(690\) | 97997.5 | + | 81088.0i | 0.00783596 | + | 0.00648386i | ||||
\(691\) | −1.10524e7 | −0.880565 | −0.440283 | − | 0.897859i | \(-0.645122\pi\) | ||||
−0.440283 | + | 0.897859i | \(0.645122\pi\) | |||||||
\(692\) | 1.67121e7i | 1.32668i | ||||||||
\(693\) | 857378.i | 0.0678171i | ||||||||
\(694\) | −3.42434e6 | −0.269885 | ||||||||
\(695\) | 1.34875e7 | − | 1.63001e7i | 1.05918 | − | 1.28005i | ||||
\(696\) | 3.13977e6 | 0.245682 | ||||||||
\(697\) | − | 419269.i | − | 0.0326897i | ||||||
\(698\) | − | 1.54422e6i | − | 0.119969i | ||||||
\(699\) | −1.04928e7 | −0.812270 | ||||||||
\(700\) | −8.12719e6 | + | 1.54857e6i | −0.626896 | + | 0.119450i | ||||
\(701\) | −9.86637e6 | −0.758337 | −0.379168 | − | 0.925328i | \(-0.623790\pi\) | ||||
−0.379168 | + | 0.925328i | \(0.623790\pi\) | |||||||
\(702\) | 500645.i | 0.0383431i | ||||||||
\(703\) | − | 2.29503e7i | − | 1.75146i | ||||||
\(704\) | 2.73235e6 | 0.207780 | ||||||||
\(705\) | 4.74612e6 | − | 5.73585e6i | 0.359639 | − | 0.434635i | ||||
\(706\) | 2.07995e6 | 0.157051 | ||||||||
\(707\) | 4.87700e6i | 0.366948i | ||||||||
\(708\) | − | 4.38506e6i | − | 0.328770i | ||||||
\(709\) | 1.65852e7 | 1.23910 | 0.619550 | − | 0.784957i | \(-0.287315\pi\) | ||||
0.619550 | + | 0.784957i | \(0.287315\pi\) | |||||||
\(710\) | −2.70300e6 | − | 2.23659e6i | −0.201233 | − | 0.166510i | ||||
\(711\) | 7.30495e6 | 0.541930 | ||||||||
\(712\) | − | 9.25844e6i | − | 0.684444i | ||||||
\(713\) | 16058.0i | 0.00118295i | ||||||||
\(714\) | −70688.1 | −0.00518921 | ||||||||
\(715\) | 2.71665e6 | + | 2.24789e6i | 0.198733 | + | 0.164441i | ||||
\(716\) | 5.44646e6 | 0.397038 | ||||||||
\(717\) | 6.93557e6i | 0.503830i | ||||||||
\(718\) | − | 4.20940e6i | − | 0.304725i | ||||||
\(719\) | 1.70621e6 | 0.123086 | 0.0615430 | − | 0.998104i | \(-0.480398\pi\) | ||||
0.0615430 | + | 0.998104i | \(0.480398\pi\) | |||||||
\(720\) | 2.48366e6 | − | 3.00159e6i | 0.178551 | − | 0.215784i | ||||
\(721\) | −9.40126e6 | −0.673516 | ||||||||
\(722\) | 63333.1i | 0.00452156i | ||||||||
\(723\) | 1.28286e7i | 0.912715i | ||||||||
\(724\) | 1.85351e7 | 1.31416 | ||||||||
\(725\) | −2.48766e6 | − | 1.30557e7i | −0.175770 | − | 0.922474i | ||||
\(726\) | 173594. | 0.0122234 | ||||||||
\(727\) | 4.79877e6i | 0.336739i | 0.985724 | + | 0.168370i | \(0.0538502\pi\) | ||||
−0.985724 | + | 0.168370i | \(0.946150\pi\) | |||||||
\(728\) | − | 3.74063e6i | − | 0.261587i | ||||||
\(729\) | −531441. | −0.0370370 | ||||||||
\(730\) | 345454. | − | 417493.i | 0.0239929 | − | 0.0289962i | ||||
\(731\) | −96000.4 | −0.00664476 | ||||||||
\(732\) | − | 1.11935e7i | − | 0.772123i | ||||||
\(733\) | 2.10050e7i | 1.44398i | 0.691902 | + | 0.721991i | \(0.256773\pi\) | ||||
−0.691902 | + | 0.721991i | \(0.743227\pi\) | |||||||
\(734\) | −3.32048e6 | −0.227489 | ||||||||
\(735\) | 3.54849e6 | + | 2.93620e6i | 0.242285 | + | 0.200478i | ||||
\(736\) | 721250. | 0.0490785 | ||||||||
\(737\) | − | 151737.i | − | 0.0102901i | ||||||
\(738\) | − | 656475.i | − | 0.0443688i | ||||||
\(739\) | 1.45144e7 | 0.977660 | 0.488830 | − | 0.872379i | \(-0.337424\pi\) | ||||
0.488830 | + | 0.872379i | \(0.337424\pi\) | |||||||
\(740\) | 1.88291e7 | + | 1.55801e7i | 1.26401 | + | 1.04590i | ||||
\(741\) | −7.45390e6 | −0.498698 | ||||||||
\(742\) | − | 1.26060e6i | − | 0.0840560i | ||||||
\(743\) | − | 1.33510e7i | − | 0.887245i | −0.896214 | − | 0.443622i | \(-0.853693\pi\) | ||
0.896214 | − | 0.443622i | \(-0.146307\pi\) | |||||||
\(744\) | −61774.7 | −0.00409146 | ||||||||
\(745\) | −9.66907e6 | + | 1.16854e7i | −0.638255 | + | 0.771353i | ||||
\(746\) | 2.19848e6 | 0.144636 | ||||||||
\(747\) | 879414.i | 0.0576623i | ||||||||
\(748\) | − | 249573.i | − | 0.0163096i | ||||||
\(749\) | 2.24585e6 | 0.146277 | ||||||||
\(750\) | 1.81476e6 | + | 998419.i | 0.117806 | + | 0.0648127i | ||||
\(751\) | 1.03902e7 | 0.672242 | 0.336121 | − | 0.941819i | \(-0.390885\pi\) | ||||
0.336121 | + | 0.941819i | \(0.390885\pi\) | |||||||
\(752\) | − | 1.27317e7i | − | 0.820999i | ||||||
\(753\) | 6.01870e6i | 0.386826i | ||||||||
\(754\) | 2.92076e6 | 0.187097 | ||||||||
\(755\) | 5.22976e6 | − | 6.32034e6i | 0.333898 | − | 0.403527i | ||||
\(756\) | 1.93002e6 | 0.122817 | ||||||||
\(757\) | − | 1.09141e7i | − | 0.692227i | −0.938193 | − | 0.346113i | \(-0.887501\pi\) | ||
0.938193 | − | 0.346113i | \(-0.112499\pi\) | |||||||
\(758\) | 4.12390e6i | 0.260696i | ||||||||
\(759\) | −208983. | −0.0131676 | ||||||||
\(760\) | −5.61291e6 | − | 4.64440e6i | −0.352496 | − | 0.291673i | ||||
\(761\) | 1.04145e7 | 0.651894 | 0.325947 | − | 0.945388i | \(-0.394317\pi\) | ||||
0.325947 | + | 0.945388i | \(0.394317\pi\) | |||||||
\(762\) | 687136.i | 0.0428702i | ||||||||
\(763\) | 8.64548e6i | 0.537623i | ||||||||
\(764\) | 1.97953e6 | 0.122696 | ||||||||
\(765\) | −237757. | − | 196732.i | −0.0146886 | − | 0.0121540i | ||||
\(766\) | 5.67763e6 | 0.349619 | ||||||||
\(767\) | − | 8.39232e6i | − | 0.515103i | ||||||
\(768\) | − | 4.72472e6i | − | 0.289050i | ||||||
\(769\) | 9.42825e6 | 0.574930 | 0.287465 | − | 0.957791i | \(-0.407187\pi\) | ||||
0.287465 | + | 0.957791i | \(0.407187\pi\) | |||||||
\(770\) | −496955. | + | 600587.i | −0.0302058 | + | 0.0365047i | ||||
\(771\) | 9.78265e6 | 0.592681 | ||||||||
\(772\) | − | 2.00063e7i | − | 1.20816i | ||||||
\(773\) | 1.18529e7i | 0.713469i | 0.934206 | + | 0.356734i | \(0.116110\pi\) | ||||
−0.934206 | + | 0.356734i | \(0.883890\pi\) | |||||||
\(774\) | −150314. | −0.00901875 | ||||||||
\(775\) | 48944.5 | + | 256870.i | 0.00292718 | + | 0.0153624i | ||||
\(776\) | −7.95620e6 | −0.474298 |