Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [68,6,Mod(3,68)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(68, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("68.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 68 = 2^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 68.i (of order \(16\), degree \(8\), 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: | \(10.9060997473\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 23.4 | ||
Character | \(\chi\) | \(=\) | 68.23 |
Dual form | 68.6.i.b.3.4 |
$q$-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 \(\left(\mathbb{Z}/68\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.38279 | − | 1.73940i | −0.951553 | − | 0.307486i | ||||
\(3\) | −3.80789 | − | 19.1436i | −0.244277 | − | 1.22806i | −0.886930 | − | 0.461904i | \(-0.847166\pi\) |
0.642653 | − | 0.766157i | \(-0.277834\pi\) | |||||||
\(4\) | 25.9489 | + | 18.7257i | 0.810904 | + | 0.585179i | ||||
\(5\) | 8.73287 | − | 13.0697i | 0.156218 | − | 0.233797i | −0.745102 | − | 0.666951i | \(-0.767599\pi\) |
0.901320 | + | 0.433153i | \(0.142599\pi\) | |||||||
\(6\) | −12.8013 | + | 109.669i | −0.145170 | + | 1.24368i | ||||
\(7\) | −126.682 | + | 84.6465i | −0.977172 | + | 0.652926i | −0.938120 | − | 0.346311i | \(-0.887434\pi\) |
−0.0390528 | + | 0.999237i | \(0.512434\pi\) | |||||||
\(8\) | −107.106 | − | 145.932i | −0.591684 | − | 0.806170i | ||||
\(9\) | −127.474 | + | 52.8014i | −0.524584 | + | 0.217290i | ||||
\(10\) | −69.7407 | + | 55.1613i | −0.220539 | + | 0.174435i | ||||
\(11\) | −307.741 | − | 61.2134i | −0.766838 | − | 0.152533i | −0.203854 | − | 0.979001i | \(-0.565347\pi\) |
−0.562984 | + | 0.826468i | \(0.690347\pi\) | |||||||
\(12\) | 259.666 | − | 568.061i | 0.520550 | − | 1.13879i | ||||
\(13\) | −241.273 | + | 241.273i | −0.395958 | + | 0.395958i | −0.876805 | − | 0.480846i | \(-0.840329\pi\) |
0.480846 | + | 0.876805i | \(0.340329\pi\) | |||||||
\(14\) | 829.140 | − | 235.283i | 1.13060 | − | 0.320826i | ||||
\(15\) | −283.454 | − | 117.411i | −0.325278 | − | 0.134734i | ||||
\(16\) | 322.695 | + | 971.825i | 0.315132 | + | 0.949048i | ||||
\(17\) | 1046.25 | + | 570.278i | 0.878038 | + | 0.478591i | ||||
\(18\) | 778.009 | − | 62.4904i | 0.565983 | − | 0.0454603i | ||||
\(19\) | −208.039 | + | 502.250i | −0.132209 | + | 0.319180i | −0.976096 | − | 0.217341i | \(-0.930262\pi\) |
0.843887 | + | 0.536521i | \(0.180262\pi\) | |||||||
\(20\) | 471.348 | − | 175.615i | 0.263491 | − | 0.0981716i | ||||
\(21\) | 2102.83 | + | 2102.83i | 1.04053 | + | 1.04053i | ||||
\(22\) | 1550.03 | + | 864.785i | 0.682784 | + | 0.380936i | ||||
\(23\) | −185.511 | + | 932.627i | −0.0731224 | + | 0.367611i | −0.999969 | − | 0.00782835i | \(-0.997508\pi\) |
0.926847 | + | 0.375439i | \(0.122508\pi\) | |||||||
\(24\) | −2385.82 | + | 2606.09i | −0.845492 | + | 0.923552i | ||||
\(25\) | 1101.33 | + | 2658.85i | 0.352426 | + | 0.850833i | ||||
\(26\) | 1718.39 | − | 879.050i | 0.498527 | − | 0.255023i | ||||
\(27\) | −1138.87 | − | 1704.44i | −0.300652 | − | 0.449958i | ||||
\(28\) | −4872.34 | − | 175.732i | −1.17447 | − | 0.0423601i | ||||
\(29\) | 4155.51 | + | 2776.63i | 0.917550 | + | 0.613087i | 0.922121 | − | 0.386902i | \(-0.126455\pi\) |
−0.00457062 | + | 0.999990i | \(0.501455\pi\) | |||||||
\(30\) | 1321.55 | + | 1125.04i | 0.268090 | + | 0.228225i | ||||
\(31\) | 3729.27 | − | 741.797i | 0.696978 | − | 0.138638i | 0.166129 | − | 0.986104i | \(-0.446873\pi\) |
0.530849 | + | 0.847466i | \(0.321873\pi\) | |||||||
\(32\) | −46.6037 | − | 5792.43i | −0.00804537 | − | 0.999968i | ||||
\(33\) | 6124.35i | 0.978984i | ||||||||
\(34\) | −4639.80 | − | 4889.54i | −0.688339 | − | 0.725389i | ||||
\(35\) | 2394.90i | 0.330459i | ||||||||
\(36\) | −4296.56 | − | 1016.90i | −0.552541 | − | 0.130774i | ||||
\(37\) | −9473.37 | + | 1884.37i | −1.13763 | + | 0.226288i | −0.727744 | − | 0.685849i | \(-0.759431\pi\) |
−0.409884 | + | 0.912138i | \(0.634431\pi\) | |||||||
\(38\) | 1993.45 | − | 2341.65i | 0.223947 | − | 0.263065i | ||||
\(39\) | 5537.56 | + | 3700.08i | 0.582985 | + | 0.389538i | ||||
\(40\) | −2842.63 | + | 125.433i | −0.280912 | + | 0.0123955i | ||||
\(41\) | 1377.47 | + | 2061.53i | 0.127974 | + | 0.191527i | 0.889924 | − | 0.456110i | \(-0.150758\pi\) |
−0.761949 | + | 0.647636i | \(0.775758\pi\) | |||||||
\(42\) | −7661.43 | − | 14976.8i | −0.670172 | − | 1.31007i | ||||
\(43\) | −1783.32 | − | 4305.32i | −0.147082 | − | 0.355087i | 0.833119 | − | 0.553094i | \(-0.186553\pi\) |
−0.980201 | + | 0.198007i | \(0.936553\pi\) | |||||||
\(44\) | −6839.28 | − | 7351.09i | −0.532573 | − | 0.572427i | ||||
\(45\) | −423.116 | + | 2127.15i | −0.0311479 | + | 0.156591i | ||||
\(46\) | 2620.78 | − | 4697.46i | 0.182615 | − | 0.327317i | ||||
\(47\) | 3562.33 | + | 3562.33i | 0.235228 | + | 0.235228i | 0.814871 | − | 0.579643i | \(-0.196808\pi\) |
−0.579643 | + | 0.814871i | \(0.696808\pi\) | |||||||
\(48\) | 17375.4 | − | 9878.15i | 1.08851 | − | 0.618831i | ||||
\(49\) | 2451.65 | − | 5918.80i | 0.145870 | − | 0.352163i | ||||
\(50\) | −1303.43 | − | 16227.7i | −0.0737329 | − | 0.917978i | ||||
\(51\) | 6933.16 | − | 22200.5i | 0.373255 | − | 1.19519i | ||||
\(52\) | −10778.8 | + | 1742.77i | −0.552791 | + | 0.0893780i | ||||
\(53\) | −3715.46 | − | 1538.99i | −0.181687 | − | 0.0752570i | 0.289986 | − | 0.957031i | \(-0.406349\pi\) |
−0.471672 | + | 0.881774i | \(0.656349\pi\) | |||||||
\(54\) | 3165.59 | + | 11155.6i | 0.147730 | + | 0.520605i | ||||
\(55\) | −3487.50 | + | 3487.50i | −0.155456 | + | 0.155456i | ||||
\(56\) | 25921.1 | + | 9420.90i | 1.10455 | + | 0.401442i | ||||
\(57\) | 10407.1 | + | 2070.09i | 0.424269 | + | 0.0843923i | ||||
\(58\) | −17538.6 | − | 22174.1i | −0.684581 | − | 0.865519i | ||||
\(59\) | −47188.6 | + | 19546.2i | −1.76485 | + | 0.731024i | −0.769076 | + | 0.639157i | \(0.779283\pi\) |
−0.995771 | + | 0.0918662i | \(0.970717\pi\) | |||||||
\(60\) | −5156.74 | − | 8354.56i | −0.184925 | − | 0.299602i | ||||
\(61\) | −26717.5 | + | 17852.1i | −0.919330 | + | 0.614277i | −0.922617 | − | 0.385718i | \(-0.873954\pi\) |
0.00328651 | + | 0.999995i | \(0.498954\pi\) | |||||||
\(62\) | −21364.2 | − | 2493.76i | −0.705841 | − | 0.0823903i | ||||
\(63\) | 11679.2 | − | 17479.2i | 0.370735 | − | 0.554844i | ||||
\(64\) | −9824.53 | + | 31260.5i | −0.299821 | + | 0.953996i | ||||
\(65\) | 1046.35 | + | 5260.35i | 0.0307180 | + | 0.154430i | ||||
\(66\) | 10652.7 | − | 32966.1i | 0.301024 | − | 0.931554i | ||||
\(67\) | −61607.5 | −1.67667 | −0.838333 | − | 0.545159i | \(-0.816469\pi\) | ||||
−0.838333 | + | 0.545159i | \(0.816469\pi\) | |||||||
\(68\) | 16470.2 | + | 34389.9i | 0.431943 | + | 0.901901i | ||||
\(69\) | 18560.2 | 0.469311 | ||||||||
\(70\) | 4165.71 | − | 12891.3i | 0.101612 | − | 0.314449i | ||||
\(71\) | 14478.8 | + | 72790.1i | 0.340870 | + | 1.71367i | 0.647694 | + | 0.761901i | \(0.275734\pi\) |
−0.306824 | + | 0.951766i | \(0.599266\pi\) | |||||||
\(72\) | 21358.7 | + | 12947.2i | 0.485560 | + | 0.294337i | ||||
\(73\) | 17756.7 | − | 26574.8i | 0.389992 | − | 0.583665i | −0.583577 | − | 0.812058i | \(-0.698347\pi\) |
0.973569 | + | 0.228393i | \(0.0733472\pi\) | |||||||
\(74\) | 54270.9 | + | 6334.85i | 1.15209 | + | 0.134480i | ||||
\(75\) | 46706.2 | − | 31208.1i | 0.958785 | − | 0.640640i | ||||
\(76\) | −14803.4 | + | 9137.19i | −0.293986 | + | 0.181459i | ||||
\(77\) | 44166.8 | − | 18294.5i | 0.848925 | − | 0.351636i | ||||
\(78\) | −23371.6 | − | 29548.8i | −0.434963 | − | 0.549925i | ||||
\(79\) | 8194.05 | + | 1629.90i | 0.147717 | + | 0.0293828i | 0.268395 | − | 0.963309i | \(-0.413507\pi\) |
−0.120678 | + | 0.992692i | \(0.538507\pi\) | |||||||
\(80\) | 15519.5 | + | 4269.31i | 0.271114 | + | 0.0745817i | ||||
\(81\) | −52000.5 | + | 52000.5i | −0.880632 | + | 0.880632i | ||||
\(82\) | −3828.80 | − | 13492.7i | −0.0628822 | − | 0.221598i | ||||
\(83\) | 56781.7 | + | 23519.8i | 0.904718 | + | 0.374747i | 0.786032 | − | 0.618185i | \(-0.212132\pi\) |
0.118686 | + | 0.992932i | \(0.462132\pi\) | |||||||
\(84\) | 15189.2 | + | 93943.2i | 0.234875 | + | 1.45267i | ||||
\(85\) | 16590.1 | − | 8693.97i | 0.249059 | − | 0.130518i | ||||
\(86\) | 2110.56 | + | 26276.6i | 0.0307717 | + | 0.383110i | ||||
\(87\) | 37330.8 | − | 90124.5i | 0.528773 | − | 1.27657i | ||||
\(88\) | 24027.9 | + | 51465.7i | 0.330757 | + | 0.708453i | ||||
\(89\) | 56970.5 | + | 56970.5i | 0.762386 | + | 0.762386i | 0.976753 | − | 0.214367i | \(-0.0687690\pi\) |
−0.214367 | + | 0.976753i | \(0.568769\pi\) | |||||||
\(90\) | 5977.52 | − | 10714.0i | 0.0777884 | − | 0.139427i | ||||
\(91\) | 10142.1 | − | 50987.9i | 0.128388 | − | 0.645451i | ||||
\(92\) | −22277.9 | + | 20726.9i | −0.274413 | + | 0.255308i | ||||
\(93\) | −28401.3 | − | 68566.8i | −0.340511 | − | 0.822066i | ||||
\(94\) | −12979.0 | − | 25371.6i | −0.151503 | − | 0.296162i | ||||
\(95\) | 4747.47 | + | 7105.09i | 0.0539701 | + | 0.0807719i | ||||
\(96\) | −110710. | + | 22949.1i | −1.22606 | + | 0.254149i | ||||
\(97\) | −144920. | − | 96832.4i | −1.56386 | − | 1.04494i | −0.970832 | − | 0.239759i | \(-0.922931\pi\) |
−0.593030 | − | 0.805180i | \(-0.702069\pi\) | |||||||
\(98\) | −23491.9 | + | 27595.3i | −0.247089 | + | 0.290248i | ||||
\(99\) | 42461.1 | − | 8446.03i | 0.435415 | − | 0.0866093i | ||||
\(100\) | −21210.5 | + | 89617.6i | −0.212105 | + | 0.896176i | ||||
\(101\) | − | 51300.5i | − | 0.500401i | −0.968194 | − | 0.250201i | \(-0.919503\pi\) | ||
0.968194 | − | 0.250201i | \(-0.0804966\pi\) | |||||||
\(102\) | −75935.5 | + | 107441.i | −0.722677 | + | 1.02252i | ||||
\(103\) | 116426.i | 1.08132i | 0.841240 | + | 0.540662i | \(0.181826\pi\) | ||||
−0.841240 | + | 0.540662i | \(0.818174\pi\) | |||||||
\(104\) | 61051.3 | + | 9367.70i | 0.553492 | + | 0.0849277i | ||||
\(105\) | 45847.0 | − | 9119.54i | 0.405824 | − | 0.0807234i | ||||
\(106\) | 17322.6 | + | 14746.8i | 0.149744 | + | 0.127477i | ||||
\(107\) | −166053. | − | 110953.i | −1.40213 | − | 0.936874i | −0.999771 | − | 0.0213921i | \(-0.993190\pi\) |
−0.402360 | − | 0.915482i | \(-0.631810\pi\) | |||||||
\(108\) | 2364.38 | − | 65554.5i | 0.0195055 | − | 0.540808i | ||||
\(109\) | −17454.7 | − | 26122.8i | −0.140717 | − | 0.210597i | 0.754417 | − | 0.656396i | \(-0.227920\pi\) |
−0.895133 | + | 0.445798i | \(0.852920\pi\) | |||||||
\(110\) | 24838.7 | − | 12706.3i | 0.195725 | − | 0.100124i | ||||
\(111\) | 72147.2 | + | 174179.i | 0.555792 | + | 1.34180i | ||||
\(112\) | −123141. | − | 95798.1i | −0.927596 | − | 0.721626i | ||||
\(113\) | 20243.4 | − | 101770.i | 0.149138 | − | 0.749766i | −0.831744 | − | 0.555160i | \(-0.812657\pi\) |
0.980881 | − | 0.194606i | \(-0.0623429\pi\) | |||||||
\(114\) | −52418.3 | − | 29245.0i | −0.377765 | − | 0.210761i | ||||
\(115\) | 10569.1 | + | 10569.1i | 0.0745234 | + | 0.0745234i | ||||
\(116\) | 55836.9 | + | 149865.i | 0.385280 | + | 1.03409i | ||||
\(117\) | 18016.4 | − | 43495.5i | 0.121676 | − | 0.293751i | ||||
\(118\) | 288005. | − | 23132.9i | 1.90412 | − | 0.152941i | ||||
\(119\) | −180814. | + | 16317.1i | −1.17048 | + | 0.105627i | ||||
\(120\) | 13225.7 | + | 53940.5i | 0.0838427 | + | 0.341950i | ||||
\(121\) | −57834.4 | − | 23955.8i | −0.359106 | − | 0.148747i | ||||
\(122\) | 174867. | − | 49621.5i | 1.06367 | − | 0.301835i | ||||
\(123\) | 34219.7 | − | 34219.7i | 0.203945 | − | 0.203945i | ||||
\(124\) | 110661. | + | 50584.3i | 0.646310 | + | 0.295435i | ||||
\(125\) | 92545.4 | + | 18408.4i | 0.529761 | + | 0.105376i | ||||
\(126\) | −93270.4 | + | 73772.1i | −0.523381 | + | 0.413967i | ||||
\(127\) | −126745. | + | 52499.4i | −0.697302 | + | 0.288832i | −0.703039 | − | 0.711152i | \(-0.748174\pi\) |
0.00573658 | + | 0.999984i | \(0.498174\pi\) | |||||||
\(128\) | 107258. | − | 151180.i | 0.578636 | − | 0.815586i | ||||
\(129\) | −75628.6 | + | 50533.4i | −0.400140 | + | 0.267365i | ||||
\(130\) | 3517.60 | − | 30135.4i | 0.0182553 | − | 0.156394i | ||||
\(131\) | 120354. | − | 180122.i | 0.612746 | − | 0.917039i | −0.387242 | − | 0.921978i | \(-0.626572\pi\) |
0.999988 | + | 0.00493884i | \(0.00157209\pi\) | |||||||
\(132\) | −114683. | + | 158921.i | −0.572880 | + | 0.793862i | ||||
\(133\) | −16158.9 | − | 81236.1i | −0.0792103 | − | 0.398217i | ||||
\(134\) | 331620. | + | 107160.i | 1.59543 | + | 0.515551i | ||||
\(135\) | −32222.0 | −0.152166 | ||||||||
\(136\) | −28837.8 | − | 213762.i | −0.133695 | − | 0.991023i | ||||
\(137\) | −50168.1 | −0.228363 | −0.114182 | − | 0.993460i | \(-0.536425\pi\) | ||||
−0.114182 | + | 0.993460i | \(0.536425\pi\) | |||||||
\(138\) | −99905.9 | − | 32283.7i | −0.446574 | − | 0.144307i | ||||
\(139\) | −13848.2 | − | 69619.6i | −0.0607934 | − | 0.305629i | 0.938411 | − | 0.345522i | \(-0.112298\pi\) |
−0.999204 | + | 0.0398932i | \(0.987298\pi\) | |||||||
\(140\) | −44846.3 | + | 62145.2i | −0.193378 | + | 0.267971i | ||||
\(141\) | 54630.8 | − | 81760.7i | 0.231414 | − | 0.346335i | ||||
\(142\) | 48674.8 | − | 416999.i | 0.202574 | − | 1.73546i | ||||
\(143\) | 89018.5 | − | 59480.3i | 0.364033 | − | 0.243239i | ||||
\(144\) | −92448.9 | − | 106844.i | −0.371531 | − | 0.429380i | ||||
\(145\) | 72579.1 | − | 30063.3i | 0.286676 | − | 0.118745i | ||||
\(146\) | −141805. | + | 112161.i | −0.550567 | + | 0.435470i | ||||
\(147\) | −122643. | − | 24395.1i | −0.468110 | − | 0.0931128i | ||||
\(148\) | −281110. | − | 128498.i | −1.05493 | − | 0.482217i | ||||
\(149\) | −231129. | + | 231129.i | −0.852883 | + | 0.852883i | −0.990487 | − | 0.137604i | \(-0.956060\pi\) |
0.137604 | + | 0.990487i | \(0.456060\pi\) | |||||||
\(150\) | −305693. | + | 86745.7i | −1.10932 | + | 0.314789i | ||||
\(151\) | 350361. | + | 145124.i | 1.25047 | + | 0.517962i | 0.906972 | − | 0.421191i | \(-0.138388\pi\) |
0.343499 | + | 0.939153i | \(0.388388\pi\) | |||||||
\(152\) | 95576.9 | − | 23434.5i | 0.335540 | − | 0.0822710i | ||||
\(153\) | −163481. | − | 17452.1i | −0.564597 | − | 0.0602726i | ||||
\(154\) | −269563. | + | 21651.5i | −0.915921 | + | 0.0735676i | ||||
\(155\) | 22872.2 | − | 55218.3i | 0.0764677 | − | 0.184609i | ||||
\(156\) | 74407.2 | + | 199708.i | 0.244796 | + | 0.657028i | ||||
\(157\) | −26068.9 | − | 26068.9i | −0.0844060 | − | 0.0844060i | 0.663643 | − | 0.748049i | \(-0.269009\pi\) |
−0.748049 | + | 0.663643i | \(0.769009\pi\) | |||||||
\(158\) | −41271.8 | − | 23026.2i | −0.131526 | − | 0.0733802i | ||||
\(159\) | −15313.8 | + | 76987.5i | −0.0480385 | + | 0.241506i | ||||
\(160\) | −76112.1 | − | 49975.5i | −0.235047 | − | 0.154332i | ||||
\(161\) | −55442.6 | − | 133850.i | −0.168569 | − | 0.406963i | ||||
\(162\) | 370358. | − | 189458.i | 1.10875 | − | 0.567186i | ||||
\(163\) | 28995.2 | + | 43394.4i | 0.0854786 | + | 0.127928i | 0.871745 | − | 0.489960i | \(-0.162989\pi\) |
−0.786266 | + | 0.617888i | \(0.787989\pi\) | |||||||
\(164\) | −2859.73 | + | 79288.5i | −0.00830261 | + | 0.230197i | ||||
\(165\) | 80043.3 | + | 53483.2i | 0.228884 | + | 0.152935i | ||||
\(166\) | −264734. | − | 225368.i | −0.745658 | − | 0.634780i | ||||
\(167\) | −113554. | + | 22587.3i | −0.315073 | + | 0.0626718i | −0.350094 | − | 0.936715i | \(-0.613850\pi\) |
0.0350210 | + | 0.999387i | \(0.488850\pi\) | |||||||
\(168\) | 81644.9 | − | 532097.i | 0.223180 | − | 1.45451i | ||||
\(169\) | 254868.i | 0.686434i | ||||||||
\(170\) | −104424. | + | 17940.9i | −0.277125 | + | 0.0476127i | ||||
\(171\) | − | 75008.6i | − | 0.196165i | ||||||
\(172\) | 34344.9 | − | 145113.i | 0.0885200 | − | 0.374011i | ||||
\(173\) | 453738. | − | 90254.1i | 1.15263 | − | 0.229272i | 0.418458 | − | 0.908236i | \(-0.362571\pi\) |
0.734172 | + | 0.678964i | \(0.237571\pi\) | |||||||
\(174\) | −357707. | + | 420188.i | −0.895683 | + | 1.05213i | ||||
\(175\) | −364582. | − | 243606.i | −0.899912 | − | 0.601302i | ||||
\(176\) | −39817.7 | − | 318823.i | −0.0968934 | − | 0.775834i | ||||
\(177\) | 553873. | + | 828929.i | 1.32885 | + | 1.98877i | ||||
\(178\) | −207566. | − | 405755.i | −0.491027 | − | 0.959873i | ||||
\(179\) | 230790. | + | 557177.i | 0.538375 | + | 1.29975i | 0.925857 | + | 0.377874i | \(0.123345\pi\) |
−0.387482 | + | 0.921877i | \(0.626655\pi\) | |||||||
\(180\) | −50811.8 | + | 47274.1i | −0.116892 | + | 0.108753i | ||||
\(181\) | −106119. | + | 533498.i | −0.240767 | + | 1.21042i | 0.651407 | + | 0.758729i | \(0.274179\pi\) |
−0.892174 | + | 0.451691i | \(0.850821\pi\) | |||||||
\(182\) | −143281. | + | 256816.i | −0.320635 | + | 0.574703i | ||||
\(183\) | 443490. | + | 443490.i | 0.978941 | + | 0.978941i | ||||
\(184\) | 155970. | − | 72818.1i | 0.339622 | − | 0.158560i | ||||
\(185\) | −58101.6 | + | 140270.i | −0.124813 | + | 0.301325i | ||||
\(186\) | 33612.9 | + | 418482.i | 0.0712400 | + | 0.886941i | ||||
\(187\) | −287065. | − | 239543.i | −0.600311 | − | 0.500932i | ||||
\(188\) | 25731.5 | + | 159146.i | 0.0530971 | + | 0.328398i | ||||
\(189\) | 288549. | + | 119521.i | 0.587578 | + | 0.243383i | ||||
\(190\) | −13196.0 | − | 46503.0i | −0.0265191 | − | 0.0934538i | ||||
\(191\) | 274318. | − | 274318.i | 0.544090 | − | 0.544090i | −0.380636 | − | 0.924725i | \(-0.624295\pi\) |
0.924725 | + | 0.380636i | \(0.124295\pi\) | |||||||
\(192\) | 635849. | + | 69039.8i | 1.24480 | + | 0.135159i | ||||
\(193\) | −582509. | − | 115868.i | −1.12567 | − | 0.223909i | −0.403063 | − | 0.915172i | \(-0.632054\pi\) |
−0.722603 | + | 0.691263i | \(0.757054\pi\) | |||||||
\(194\) | 611643. | + | 773303.i | 1.16679 | + | 1.47518i | ||||
\(195\) | 96717.6 | − | 40061.7i | 0.182146 | − | 0.0754472i | ||||
\(196\) | 174451. | − | 107678.i | 0.324365 | − | 0.200210i | ||||
\(197\) | 268185. | − | 179196.i | 0.492344 | − | 0.328974i | −0.284490 | − | 0.958679i | \(-0.591824\pi\) |
0.776834 | + | 0.629705i | \(0.216824\pi\) | |||||||
\(198\) | −243250. | − | 28393.7i | −0.440951 | − | 0.0514707i | ||||
\(199\) | 429053. | − | 642123.i | 0.768030 | − | 1.14944i | −0.216850 | − | 0.976205i | \(-0.569578\pi\) |
0.984881 | − | 0.173234i | \(-0.0554216\pi\) | |||||||
\(200\) | 270053. | − | 445500.i | 0.477391 | − | 0.787540i | ||||
\(201\) | 234595. | + | 1.17939e6i | 0.409570 | + | 2.05905i | ||||
\(202\) | −89232.4 | + | 276140.i | −0.153866 | + | 0.476158i | ||||
\(203\) | −761462. | −1.29691 | ||||||||
\(204\) | 595629. | − | 446252.i | 1.00208 | − | 0.750766i | ||||
\(205\) | 38972.7 | 0.0647703 | ||||||||
\(206\) | 202511. | − | 626696.i | 0.332492 | − | 1.02894i | ||||
\(207\) | −25596.2 | − | 128681.i | −0.0415193 | − | 0.208731i | ||||
\(208\) | −312332. | − | 156617.i | −0.500563 | − | 0.251004i | ||||
\(209\) | 94766.6 | − | 141828.i | 0.150068 | − | 0.224593i | ||||
\(210\) | −262648. | − | 30657.9i | −0.410984 | − | 0.0479728i | ||||
\(211\) | −210548. | + | 140683.i | −0.325570 | + | 0.217539i | −0.707604 | − | 0.706610i | \(-0.750224\pi\) |
0.382034 | + | 0.924148i | \(0.375224\pi\) | |||||||
\(212\) | −67593.5 | − | 109510.i | −0.103292 | − | 0.167345i | ||||
\(213\) | 1.33833e6 | − | 554354.i | 2.02122 | − | 0.837217i | ||||
\(214\) | 700839. | + | 886073.i | 1.04613 | + | 1.32262i | ||||
\(215\) | −71842.7 | − | 14290.4i | −0.105995 | − | 0.0210838i | ||||
\(216\) | −126753. | + | 348754.i | −0.184852 | + | 0.508609i | ||||
\(217\) | −409642. | + | 409642.i | −0.590548 | + | 0.590548i | ||||
\(218\) | 48516.8 | + | 170974.i | 0.0691435 | + | 0.243663i | ||||
\(219\) | −576353. | − | 238733.i | −0.812042 | − | 0.336359i | ||||
\(220\) | −155803. | + | 25191.0i | −0.217029 | + | 0.0350904i | ||||
\(221\) | −390024. | + | 114839.i | −0.537169 | + | 0.158164i | ||||
\(222\) | −85386.1 | − | 1.06306e6i | −0.116280 | − | 1.44769i | ||||
\(223\) | −444659. | + | 1.07350e6i | −0.598776 | + | 1.44557i | 0.276053 | + | 0.961142i | \(0.410973\pi\) |
−0.874829 | + | 0.484431i | \(0.839027\pi\) | |||||||
\(224\) | 496213. | + | 729854.i | 0.660766 | + | 0.971888i | ||||
\(225\) | −280782. | − | 280782.i | −0.369754 | − | 0.369754i | ||||
\(226\) | −285986. | + | 512598.i | −0.372455 | + | 0.667584i | ||||
\(227\) | −245954. | + | 1.23649e6i | −0.316803 | + | 1.59267i | 0.414125 | + | 0.910220i | \(0.364088\pi\) |
−0.730928 | + | 0.682455i | \(0.760912\pi\) | |||||||
\(228\) | 231288. | + | 248596.i | 0.294657 | + | 0.316707i | ||||
\(229\) | −341027. | − | 823312.i | −0.429734 | − | 1.03747i | −0.979372 | − | 0.202067i | \(-0.935234\pi\) |
0.549638 | − | 0.835403i | \(-0.314766\pi\) | |||||||
\(230\) | −38507.3 | − | 75275.1i | −0.0479980 | − | 0.0938278i | ||||
\(231\) | −518405. | − | 775848.i | −0.639204 | − | 0.956636i | ||||
\(232\) | −39881.7 | − | 903818.i | −0.0486467 | − | 1.10246i | ||||
\(233\) | −1.09662e6 | − | 732735.i | −1.32332 | − | 0.884214i | −0.325208 | − | 0.945643i | \(-0.605434\pi\) |
−0.998111 | + | 0.0614291i | \(0.980434\pi\) | |||||||
\(234\) | −172635. | + | 202789.i | −0.206105 | + | 0.242106i | ||||
\(235\) | 77667.8 | − | 15449.1i | 0.0917427 | − | 0.0182488i | ||||
\(236\) | −1.59051e6 | − | 376438.i | −1.85890 | − | 0.439961i | ||||
\(237\) | − | 163070.i | − | 0.188583i | ||||||
\(238\) | 1.00166e6 | + | 226676.i | 1.14625 | + | 0.259396i | ||||
\(239\) | − | 544614.i | − | 0.616729i | −0.951268 | − | 0.308365i | \(-0.900218\pi\) | ||
0.951268 | − | 0.308365i | \(-0.0997817\pi\) | |||||||
\(240\) | 22633.3 | − | 313356.i | 0.0253641 | − | 0.351163i | ||||
\(241\) | 312645. | − | 62189.0i | 0.346744 | − | 0.0689718i | −0.0186459 | − | 0.999826i | \(-0.505936\pi\) |
0.365390 | + | 0.930854i | \(0.380936\pi\) | |||||||
\(242\) | 269642. | + | 229547.i | 0.295971 | + | 0.251960i | ||||
\(243\) | 779309. | + | 520718.i | 0.846631 | + | 0.565701i | ||||
\(244\) | −1.02758e6 | − | 37062.2i | −1.10495 | − | 0.0398526i | ||||
\(245\) | −55946.8 | − | 83730.3i | −0.0595470 | − | 0.0891184i | ||||
\(246\) | −243720. | + | 124676.i | −0.256775 | + | 0.131354i | ||||
\(247\) | −70985.2 | − | 171373.i | −0.0740330 | − | 0.178731i | ||||
\(248\) | −507680. | − | 464770.i | −0.524156 | − | 0.479853i | ||||
\(249\) | 234034. | − | 1.17657e6i | 0.239210 | − | 1.20259i | ||||
\(250\) | −466133. | − | 260063.i | −0.471693 | − | 0.263165i | ||||
\(251\) | 724141. | + | 724141.i | 0.725502 | + | 0.725502i | 0.969720 | − | 0.244218i | \(-0.0785314\pi\) |
−0.244218 | + | 0.969720i | \(0.578531\pi\) | |||||||
\(252\) | 630375. | − | 234865.i | 0.625313 | − | 0.232979i | ||||
\(253\) | 114179. | − | 275652.i | 0.112146 | − | 0.270744i | ||||
\(254\) | 773559. | − | 62133.0i | 0.752332 | − | 0.0604280i | ||||
\(255\) | −229607. | − | 284488.i | −0.221124 | − | 0.273977i | ||||
\(256\) | −840312. | + | 627206.i | −0.801384 | + | 0.598151i | ||||
\(257\) | −1.82340e6 | − | 755277.i | −1.72206 | − | 0.713302i | −0.999764 | − | 0.0217219i | \(-0.993085\pi\) |
−0.722300 | − | 0.691580i | \(-0.756915\pi\) | |||||||
\(258\) | 494991. | − | 140462.i | 0.462965 | − | 0.131374i | ||||
\(259\) | 1.04060e6 | − | 1.04060e6i | 0.963909 | − | 0.963909i | ||||
\(260\) | −71352.2 | + | 156094.i | −0.0654597 | + | 0.143203i | ||||
\(261\) | −676329. | − | 134530.i | −0.614550 | − | 0.122242i | ||||
\(262\) | −961143. | + | 760215.i | −0.865037 | + | 0.684200i | ||||
\(263\) | 1.81802e6 | − | 753048.i | 1.62072 | − | 0.671326i | 0.626577 | − | 0.779360i | \(-0.284455\pi\) |
0.994147 | + | 0.108034i | \(0.0344554\pi\) | |||||||
\(264\) | 893742. | − | 655956.i | 0.789228 | − | 0.579249i | ||||
\(265\) | −52560.7 | + | 35120.0i | −0.0459777 | + | 0.0307213i | ||||
\(266\) | −54322.6 | + | 465384.i | −0.0470735 | + | 0.403280i | ||||
\(267\) | 873681. | − | 1.30756e6i | 0.750023 | − | 1.12249i | ||||
\(268\) | −1.59865e6 | − | 1.15364e6i | −1.35962 | − | 0.981149i | ||||
\(269\) | −107487. | − | 540372.i | −0.0905678 | − | 0.455315i | −0.999282 | − | 0.0378957i | \(-0.987935\pi\) |
0.908714 | − | 0.417420i | \(-0.137065\pi\) | |||||||
\(270\) | 173445. | + | 56047.1i | 0.144794 | + | 0.0467890i | ||||
\(271\) | −1.15470e6 | −0.955094 | −0.477547 | − | 0.878606i | \(-0.658474\pi\) | ||||
−0.477547 | + | 0.878606i | \(0.658474\pi\) | |||||||
\(272\) | −216591. | + | 1.20080e6i | −0.177508 | + | 0.984119i | ||||
\(273\) | −1.01471e6 | −0.824016 | ||||||||
\(274\) | 270045. | + | 87262.6i | 0.217300 | + | 0.0702186i | ||||
\(275\) | −176167. | − | 885654.i | −0.140473 | − | 0.706207i | ||||
\(276\) | 481618. | + | 347554.i | 0.380566 | + | 0.274631i | ||||
\(277\) | 1.18475e6 | − | 1.77310e6i | 0.927741 | − | 1.38846i | 0.00628463 | − | 0.999980i | \(-0.498000\pi\) |
0.921456 | − | 0.388482i | \(-0.127000\pi\) | |||||||
\(278\) | −46554.7 | + | 398836.i | −0.0361286 | + | 0.309515i | ||||
\(279\) | −436216. | + | 291470.i | −0.335499 | + | 0.224173i | ||||
\(280\) | 349494. | − | 256509.i | 0.266406 | − | 0.195527i | ||||
\(281\) | 21897.4 | − | 9070.21i | 0.0165435 | − | 0.00685254i | −0.374396 | − | 0.927269i | \(-0.622150\pi\) |
0.390940 | + | 0.920416i | \(0.372150\pi\) | |||||||
\(282\) | −436281. | + | 345076.i | −0.326696 | + | 0.258400i | ||||
\(283\) | 2.49094e6 | + | 495478.i | 1.84883 | + | 0.367755i | 0.989601 | − | 0.143839i | \(-0.0459446\pi\) |
0.859228 | + | 0.511594i | \(0.170945\pi\) | |||||||
\(284\) | −987336. | + | 2.15995e6i | −0.726389 | + | 1.58909i | ||||
\(285\) | 117939. | − | 117939.i | 0.0860092 | − | 0.0860092i | ||||
\(286\) | −582629. | + | 165331.i | −0.421189 | + | 0.119519i | ||||
\(287\) | −349002. | − | 144561.i | −0.250105 | − | 0.103597i | ||||
\(288\) | 311789. | + | 735923.i | 0.221503 | + | 0.522819i | ||||
\(289\) | 769422. | + | 1.19331e6i | 0.541901 | + | 0.840442i | ||||
\(290\) | −442971. | + | 35579.8i | −0.309300 | + | 0.0248433i | ||||
\(291\) | −1.30188e6 | + | 3.14301e6i | −0.901235 | + | 2.17577i | ||||
\(292\) | 958402. | − | 357081.i | 0.657795 | − | 0.245081i | ||||
\(293\) | −128856. | − | 128856.i | −0.0876871 | − | 0.0876871i | 0.661903 | − | 0.749590i | \(-0.269749\pi\) |
−0.749590 | + | 0.661903i | \(0.769749\pi\) | |||||||
\(294\) | 617727. | + | 344639.i | 0.416800 | + | 0.232539i | ||||
\(295\) | −156630. | + | 787433.i | −0.104790 | + | 0.526816i | ||||
\(296\) | 1.28965e6 | + | 1.18064e6i | 0.855543 | + | 0.783231i | ||||
\(297\) | 246142. | + | 594239.i | 0.161918 | + | 0.390904i | ||||
\(298\) | 1.64615e6 | − | 842095.i | 1.07381 | − | 0.549313i | ||||
\(299\) | −180259. | − | 269776.i | −0.116605 | − | 0.174512i | ||||
\(300\) | 1.79637e6 | + | 64790.3i | 1.15237 | + | 0.0415630i | ||||
\(301\) | 590346. | + | 394457.i | 0.375570 | + | 0.250948i | ||||
\(302\) | −1.63349e6 | − | 1.39059e6i | −1.03062 | − | 0.877371i | ||||
\(303\) | −982075. | + | 195347.i | −0.614523 | + | 0.122236i | ||||
\(304\) | −555233. | − | 40103.7i | −0.344581 | − | 0.0248886i | ||||
\(305\) | 505089.i | 0.310898i | ||||||||
\(306\) | 849629. | + | 378301.i | 0.518711 | + | 0.230958i | ||||
\(307\) | 732457.i | 0.443543i | 0.975099 | + | 0.221772i | \(0.0711839\pi\) | ||||
−0.975099 | + | 0.221772i | \(0.928816\pi\) | |||||||
\(308\) | 1.48866e6 | + | 352333.i | 0.894168 | + | 0.211630i | ||||
\(309\) | 2.22881e6 | − | 443337.i | 1.32793 | − | 0.264142i | ||||
\(310\) | −219163. | + | 257445.i | −0.129528 | + | 0.152153i | ||||
\(311\) | −1.21070e6 | − | 808964.i | −0.709799 | − | 0.474273i | 0.147519 | − | 0.989059i | \(-0.452871\pi\) |
−0.857318 | + | 0.514786i | \(0.827871\pi\) | |||||||
\(312\) | −53145.6 | − | 1.20441e6i | −0.0309087 | − | 0.700468i | ||||
\(313\) | 827932. | + | 1.23909e6i | 0.477676 | + | 0.714893i | 0.989554 | − | 0.144166i | \(-0.0460498\pi\) |
−0.511877 | + | 0.859059i | \(0.671050\pi\) | |||||||
\(314\) | 94979.1 | + | 185668.i | 0.0543631 | + | 0.106270i | ||||
\(315\) | −126454. | − | 305288.i | −0.0718054 | − | 0.173354i | ||||
\(316\) | 182106. | + | 195734.i | 0.102590 | + | 0.110268i | ||||
\(317\) | 463757. | − | 2.33146e6i | 0.259204 | − | 1.30311i | −0.603486 | − | 0.797374i | \(-0.706222\pi\) |
0.862690 | − | 0.505733i | \(-0.168778\pi\) | |||||||
\(318\) | 216343. | − | 387771.i | 0.119971 | − | 0.215034i | ||||
\(319\) | −1.10885e6 | − | 1.10885e6i | −0.610096 | − | 0.610096i | ||||
\(320\) | 322768. | + | 401397.i | 0.176204 | + | 0.219129i | ||||
\(321\) | −1.49173e6 | + | 3.60136e6i | −0.808031 | + | 1.95076i | ||||
\(322\) | 65616.3 | + | 816926.i | 0.0352673 | + | 0.439079i | ||||
\(323\) | −504083. | + | 406840.i | −0.268841 | + | 0.216979i | ||||
\(324\) | −2.32310e6 | + | 375611.i | −1.22944 | + | 0.198781i | ||||
\(325\) | −907229. | − | 375787.i | −0.476441 | − | 0.197348i | ||||
\(326\) | −80594.9 | − | 284018.i | −0.0420014 | − | 0.148014i | ||||
\(327\) | −433618. | + | 433618.i | −0.224253 | + | 0.224253i | ||||
\(328\) | 153308. | − | 421819.i | 0.0786829 | − | 0.216492i | ||||
\(329\) | −752823. | − | 149746.i | −0.383445 | − | 0.0762720i | ||||
\(330\) | −337827. | − | 427117.i | −0.170769 | − | 0.215904i | ||||
\(331\) | 452982. | − | 187631.i | 0.227253 | − | 0.0941315i | −0.266151 | − | 0.963931i | \(-0.585752\pi\) |
0.493405 | + | 0.869800i | \(0.335752\pi\) | |||||||
\(332\) | 1.03300e6 | + | 1.67359e6i | 0.514346 | + | 0.833306i | ||||
\(333\) | 1.10811e6 | − | 740415.i | 0.547611 | − | 0.365902i | ||||
\(334\) | 650525. | + | 75933.5i | 0.319079 | + | 0.0372449i | ||||
\(335\) | −538010. | + | 805189.i | −0.261926 | + | 0.392000i | ||||
\(336\) | −1.36501e6 | + | 2.72216e6i | −0.659611 | + | 1.31542i | ||||
\(337\) | −18333.4 | − | 92168.4i | −0.00879365 | − | 0.0442087i | 0.976139 | − | 0.217145i | \(-0.0696745\pi\) |
−0.984933 | + | 0.172936i | \(0.944674\pi\) | |||||||
\(338\) | 443319. | − | 1.37190e6i | 0.211069 | − | 0.653178i | ||||
\(339\) | −2.02534e6 | −0.957189 | ||||||||
\(340\) | 593297. | + | 85062.5i | 0.278339 | + | 0.0399062i | ||||
\(341\) | −1.19306e6 | −0.555616 | ||||||||
\(342\) | −130470. | + | 403756.i | −0.0603179 | + | 0.186661i | ||||
\(343\) | −309145. | − | 1.55417e6i | −0.141882 | − | 0.713287i | ||||
\(344\) | −437281. | + | 721372.i | −0.199235 | + | 0.328672i | ||||
\(345\) | 162084. | − | 242576.i | 0.0733149 | − | 0.109724i | ||||
\(346\) | −2.59937e6 | − | 303415.i | −1.16729 | − | 0.136253i | ||||
\(347\) | 1.34635e6 | − | 899600.i | 0.600252 | − | 0.401075i | −0.217989 | − | 0.975951i | \(-0.569950\pi\) |
0.818241 | + | 0.574876i | \(0.194950\pi\) | |||||||
\(348\) | 2.65634e6 | − | 1.63959e6i | 1.17581 | − | 0.725750i | ||||
\(349\) | −496611. | + | 205703.i | −0.218249 | + | 0.0904019i | −0.489129 | − | 0.872211i | \(-0.662685\pi\) |
0.270880 | + | 0.962613i | \(0.412685\pi\) | |||||||
\(350\) | 1.53874e6 | + | 1.94544e6i | 0.671421 | + | 0.848881i | ||||
\(351\) | 686012. | + | 136456.i | 0.297210 | + | 0.0591188i | ||||
\(352\) | −340233. | + | 1.78542e6i | −0.146359 | + | 0.768040i | ||||
\(353\) | 107866. | − | 107866.i | 0.0460730 | − | 0.0460730i | −0.683695 | − | 0.729768i | \(-0.739628\pi\) |
0.729768 | + | 0.683695i | \(0.239628\pi\) | |||||||
\(354\) | −1.53954e6 | − | 5.42536e6i | −0.652954 | − | 2.30102i | ||||
\(355\) | 1.07778e6 | + | 446433.i | 0.453901 | + | 0.188012i | ||||
\(356\) | 411510. | + | 2.54514e6i | 0.172090 | + | 1.06435i | ||||
\(357\) | 1.00089e6 | + | 3.39928e6i | 0.415638 | + | 1.41162i | ||||
\(358\) | −273140. | − | 3.40060e6i | −0.112636 | − | 1.40232i | ||||
\(359\) | 1.61749e6 | − | 3.90496e6i | 0.662376 | − | 1.59912i | −0.131694 | − | 0.991290i | \(-0.542042\pi\) |
0.794070 | − | 0.607826i | \(-0.207958\pi\) | |||||||
\(360\) | 355738. | − | 166084.i | 0.144669 | − | 0.0675418i | ||||
\(361\) | 1.54189e6 | + | 1.54189e6i | 0.622710 | + | 0.622710i | ||||
\(362\) | 1.49919e6 | − | 2.68712e6i | 0.601290 | − | 1.07775i | ||||
\(363\) | −238372. | + | 1.19838e6i | −0.0949488 | + | 0.477340i | ||||
\(364\) | 1.21796e6 | − | 1.13316e6i | 0.481815 | − | 0.448269i | ||||
\(365\) | −192257. | − | 464149.i | −0.0755353 | − | 0.182358i | ||||
\(366\) | −1.61581e6 | − | 3.15863e6i | −0.630503 | − | 1.23252i | ||||
\(367\) | 2.05687e6 | + | 3.07832e6i | 0.797153 | + | 1.19302i | 0.977813 | + | 0.209478i | \(0.0671766\pi\) |
−0.180660 | + | 0.983546i | \(0.557823\pi\) | |||||||
\(368\) | −966214. | + | 120670.i | −0.371924 | + | 0.0464493i | ||||
\(369\) | −284443. | − | 190058.i | −0.108750 | − | 0.0726643i | ||||
\(370\) | 556735. | − | 653981.i | 0.211419 | − | 0.248348i | ||||
\(371\) | 600954. | − | 119537.i | 0.226676 | − | 0.0450887i | ||||
\(372\) | 546979. | − | 2.31107e6i | 0.204934 | − | 0.865877i | ||||
\(373\) | 4.45931e6i | 1.65957i | 0.558084 | + | 0.829784i | \(0.311537\pi\) | ||||
−0.558084 | + | 0.829784i | \(0.688463\pi\) | |||||||
\(374\) | 1.12855e6 | + | 1.78873e6i | 0.417198 | + | 0.661250i | ||||
\(375\) | − | 1.84175e6i | − | 0.676319i | ||||||
\(376\) | 138312. | − | 901407.i | 0.0504533 | − | 0.328815i | ||||
\(377\) | −1.67254e6 | + | 332688.i | −0.606069 | + | 0.120555i | ||||
\(378\) | −1.34531e6 | − | 1.14526e6i | −0.484274 | − | 0.412264i | ||||
\(379\) | −2.36938e6 | − | 1.58317e6i | −0.847298 | − | 0.566147i | 0.0543965 | − | 0.998519i | \(-0.482676\pi\) |
−0.901695 | + | 0.432373i | \(0.857676\pi\) | |||||||
\(380\) | −9856.10 | + | 273269.i | −0.00350143 | + | 0.0970804i | ||||
\(381\) | 1.48766e6 | + | 2.22644e6i | 0.525038 | + | 0.785775i | ||||
\(382\) | −1.95375e6 | + | 999446.i | −0.685030 | + | 0.350430i | ||||
\(383\) | 1.62347e6 | + | 3.91941e6i | 0.565520 | + | 1.36528i | 0.905297 | + | 0.424779i | \(0.139648\pi\) |
−0.339778 | + | 0.940506i | \(0.610352\pi\) | |||||||
\(384\) | −3.30256e6 | − | 1.47763e6i | −1.14294 | − | 0.511371i | ||||
\(385\) | 146600. | − | 737009.i | 0.0504061 | − | 0.253409i | ||||
\(386\) | 2.93399e6 | + | 1.63691e6i | 1.00228 | + | 0.559188i | ||||
\(387\) | 454654. | + | 454654.i | 0.154314 | + | 0.154314i | ||||
\(388\) | −1.94726e6 | − | 5.22643e6i | −0.656667 | − | 1.76249i | ||||
\(389\) | 1.28490e6 | − | 3.10202e6i | 0.430521 | − | 1.03937i | −0.548598 | − | 0.836086i | \(-0.684838\pi\) |
0.979120 | − | 0.203284i | \(-0.0651616\pi\) | |||||||
\(390\) | −590295. | + | 47413.0i | −0.196520 | + | 0.0157847i | ||||
\(391\) | −725948. | + | 869968.i | −0.240140 | + | 0.287781i | ||||
\(392\) | −1.12633e6 | + | 276165.i | −0.370212 | + | 0.0907724i | ||||
\(393\) | −3.90647e6 | − | 1.61811e6i | −1.27586 | − | 0.528479i | ||||
\(394\) | −1.75528e6 | + | 498090.i | −0.569647 | + | 0.161647i | ||||
\(395\) | 92859.8 | − | 92859.8i | 0.0299457 | − | 0.0299457i | ||||
\(396\) | 1.25998e6 | + | 575948.i | 0.403762 | + | 0.184563i | ||||
\(397\) | 3.76112e6 | + | 748133.i | 1.19768 | + | 0.238233i | 0.753344 | − | 0.657627i | \(-0.228440\pi\) |
0.444336 | + | 0.895860i | \(0.353440\pi\) | |||||||
\(398\) | −3.42642e6 | + | 2.71012e6i | −1.08426 | + | 0.857592i | ||||
\(399\) | −1.49362e6 | + | 618677.i | −0.469686 | + | 0.194550i | ||||
\(400\) | −2.22854e6 | + | 1.92830e6i | −0.696420 | + | 0.602594i | ||||
\(401\) | −1.57515e6 | + | 1.05248e6i | −0.489172 | + | 0.326854i | −0.775576 | − | 0.631255i | \(-0.782540\pi\) |
0.286403 | + | 0.958109i | \(0.407540\pi\) | |||||||
\(402\) | 788657. | − | 6.75645e6i | 0.243401 | − | 2.08523i | ||||
\(403\) | −720794. | + | 1.07875e6i | −0.221080 | + | 0.330869i | ||||
\(404\) | 960639. | − | 1.33119e6i | 0.292824 | − | 0.405777i | ||||
\(405\) | 225515. | + | 1.13374e6i | 0.0683185 | + | 0.343460i | ||||
\(406\) | 4.09879e6 | + | 1.32449e6i | 1.23407 | + | 0.398781i | ||||
\(407\) | 3.03069e6 | 0.906892 | ||||||||
\(408\) | −3.98236e6 | + | 1.36604e6i | −1.18438 | + | 0.406269i | ||||
\(409\) | −797135. | −0.235626 | −0.117813 | − | 0.993036i | \(-0.537588\pi\) | ||||
−0.117813 | + | 0.993036i | \(0.537588\pi\) | |||||||
\(410\) | −209782. | − | 67789.3i | −0.0616323 | − | 0.0199160i | ||||
\(411\) | 191035. | + | 960397.i | 0.0557838 | + | 0.280444i | ||||
\(412\) | −2.18015e6 | + | 3.02112e6i | −0.632768 | + | 0.876850i | ||||
\(413\) | 4.32345e6 | − | 6.47050e6i | 1.24726 | − | 1.86665i | ||||
\(414\) | −86049.0 | + | 737185.i | −0.0246743 | + | 0.211386i | ||||
\(415\) | 803263. | − | 536723.i | 0.228948 | − | 0.152978i | ||||
\(416\) | 1.40880e6 | + | 1.38631e6i | 0.399131 | + | 0.392760i | ||||
\(417\) | −1.28004e6 | + | 530209.i | −0.360481 | + | 0.149316i | ||||
\(418\) | −756805. | + | 598594.i | −0.211857 | + | 0.167568i | ||||
\(419\) | −2.79753e6 | − | 556463.i | −0.778465 | − | 0.154846i | −0.210163 | − | 0.977666i | \(-0.567400\pi\) |
−0.568302 | + | 0.822820i | \(0.692400\pi\) | |||||||
\(420\) | 1.36045e6 | + | 621876.i | 0.376322 | + | 0.172021i | ||||
\(421\) | −1.88803e6 | + | 1.88803e6i | −0.519164 | + | 0.519164i | −0.917318 | − | 0.398155i | \(-0.869651\pi\) |
0.398155 | + | 0.917318i | \(0.369651\pi\) | |||||||
\(422\) | 1.37804e6 | − | 391042.i | 0.376687 | − | 0.106891i | ||||
\(423\) | −642200. | − | 266008.i | −0.174510 | − | 0.0722843i | ||||
\(424\) | 173360. | + | 707041.i | 0.0468310 | + | 0.190999i | ||||
\(425\) | −364017. | + | 3.40989e6i | −0.0977572 | + | 0.915732i | ||||
\(426\) | −8.16820e6 | + | 656077.i | −2.18073 | + | 0.175158i | ||||
\(427\) | 1.87352e6 | − | 4.52309e6i | 0.497267 | − | 1.20051i | ||||
\(428\) | −2.23123e6 | − | 5.98859e6i | −0.588755 | − | 1.58021i | ||||
\(429\) | −1.47764e6 | − | 1.47764e6i | −0.387637 | − | 0.387637i | ||||
\(430\) | 361858. | + | 201886.i | 0.0943771 | + | 0.0526544i | ||||
\(431\) | 264308. | − | 1.32877e6i | 0.0685358 | − | 0.344553i | −0.931269 | − | 0.364333i | \(-0.881297\pi\) |
0.999804 | + | 0.0197808i | \(0.00629685\pi\) | |||||||
\(432\) | 1.28891e6 | − | 1.65679e6i | 0.332286 | − | 0.427129i | ||||
\(433\) | 234980. | + | 567291.i | 0.0602297 | + | 0.145407i | 0.951129 | − | 0.308793i | \(-0.0999250\pi\) |
−0.890900 | + | 0.454200i | \(0.849925\pi\) | |||||||
\(434\) | 2.91755e6 | − | 1.49248e6i | 0.743523 | − | 0.380352i | ||||
\(435\) | −851892. | − | 1.27495e6i | −0.215855 | − | 0.323049i | ||||
\(436\) | 36237.2 | − | 1.00471e6i | 0.00912932 | − | 0.253119i | ||||
\(437\) | −429819. | − | 287196.i | −0.107667 | − | 0.0719407i | ||||
\(438\) | 2.68714e6 | + | 2.28756e6i | 0.669275 | + | 0.569755i | ||||
\(439\) | 1.00071e6 | − | 199053.i | 0.247826 | − | 0.0492956i | −0.0696141 | − | 0.997574i | \(-0.522177\pi\) |
0.317440 | + | 0.948278i | \(0.397177\pi\) | |||||||
\(440\) | 882472. | + | 135406.i | 0.217305 | + | 0.0333432i | ||||
\(441\) | 883942.i | 0.216435i | ||||||||
\(442\) | 2.29917e6 | + | 60255.4i | 0.559778 | + | 0.0146703i | ||||
\(443\) | − | 2.34236e6i | − | 0.567080i | −0.958960 | − | 0.283540i | \(-0.908491\pi\) | ||
0.958960 | − | 0.283540i | \(-0.0915089\pi\) | |||||||
\(444\) | −1.38948e6 | + | 5.87076e6i | −0.334499 | + | 1.41331i | ||||
\(445\) | 1.24210e6 | − | 247069.i | 0.297342 | − | 0.0591451i | ||||
\(446\) | 4.26076e6 | − | 5.00499e6i | 1.01426 | − | 1.19142i | ||||
\(447\) | 5.30476e6 | + | 3.54453e6i | 1.25573 | + | 0.839054i | ||||
\(448\) | −1.40150e6 | − | 4.79177e6i | −0.329912 | − | 1.12798i | ||||
\(449\) | 123575. | + | 184943.i | 0.0289277 | + | 0.0432934i | 0.845652 | − | 0.533735i | \(-0.179212\pi\) |
−0.816724 | + | 0.577029i | \(0.804212\pi\) | |||||||
\(450\) | 1.02300e6 | + | 1.99979e6i | 0.238146 | + | 0.465535i | ||||
\(451\) | −297710. | − | 718735.i | −0.0689210 | − | 0.166390i | ||||
\(452\) | 2.43102e6 | − | 2.26176e6i | 0.559683 | − | 0.520716i | ||||
\(453\) | 1.44406e6 | − | 7.25978e6i | 0.330628 | − | 1.66218i | ||||
\(454\) | 3.47468e6 | − | 6.22798e6i | 0.791180 | − | 1.41810i | ||||
\(455\) | −577824. | − | 577824.i | −0.130848 | − | 0.130848i | ||||
\(456\) | −812567. | − | 1.74045e6i | −0.182998 | − | 0.391966i | ||||
\(457\) | −2.74460e6 | + | 6.62605e6i | −0.614736 | + | 1.48410i | 0.243007 | + | 0.970025i | \(0.421866\pi\) |
−0.857743 | + | 0.514079i | \(0.828134\pi\) | |||||||
\(458\) | 403605. | + | 5.02490e6i | 0.0899068 | + | 1.11934i | ||||
\(459\) | −219538. | − | 2.43274e6i | −0.0486382 | − | 0.538969i | ||||
\(460\) | 76342.8 | + | 472170.i | 0.0168218 | + | 0.104041i | ||||
\(461\) | −6.15784e6 | − | 2.55066e6i | −1.34951 | − | 0.558985i | −0.413354 | − | 0.910571i | \(-0.635643\pi\) |
−0.936156 | + | 0.351586i | \(0.885643\pi\) | |||||||
\(462\) | 1.44095e6 | + | 5.07795e6i | 0.314083 | + | 1.10684i | ||||
\(463\) | −4.13392e6 | + | 4.13392e6i | −0.896210 | + | 0.896210i | −0.995098 | − | 0.0988889i | \(-0.968471\pi\) |
0.0988889 | + | 0.995098i | \(0.468471\pi\) | |||||||
\(464\) | −1.35743e6 | + | 4.93444e6i | −0.292700 | + | 1.06400i | ||||
\(465\) | −1.14417e6 | − | 227590.i | −0.245391 | − | 0.0488113i | ||||
\(466\) | 4.62833e6 | + | 5.85162e6i | 0.987324 | + | 1.24828i | ||||
\(467\) | −7.47760e6 | + | 3.09733e6i | −1.58661 | + | 0.657196i | −0.989443 | − | 0.144921i | \(-0.953707\pi\) |
−0.597167 | + | 0.802117i | \(0.703707\pi\) | |||||||
\(468\) | 1.28199e6 | − | 791291.i | 0.270564 | − | 0.167002i | ||||
\(469\) | 7.80458e6 | − | 5.21485e6i | 1.63839 | − | 1.09474i | ||||
\(470\) | −444942. | − | 51936.5i | −0.0929092 | − | 0.0108450i | ||||
\(471\) | −399784. | + | 598319.i | −0.0830373 | + | 0.124274i | ||||
\(472\) | 7.90661e6 | + | 4.79283e6i | 1.63356 | + | 0.990232i | ||||
\(473\) | 285258. | + | 1.43409e6i | 0.0586252 | + | 0.294729i | ||||
\(474\) | −283645. | + | 877772.i | −0.0579868 | + | 0.179447i | ||||
\(475\) | −1.56453e6 | −0.318163 | ||||||||
\(476\) | −4.99747e6 | − | 2.96245e6i | −1.01096 | − | 0.599285i | ||||
\(477\) | 554885. | 0.111662 | ||||||||
\(478\) | −947305. | + | 2.93155e6i | −0.189636 | + | 0.586850i | ||||
\(479\) | 946912. | + | 4.76045e6i | 0.188569 | + | 0.948001i | 0.952925 | + | 0.303207i | \(0.0980572\pi\) |
−0.764356 | + | 0.644795i | \(0.776943\pi\) | |||||||
\(480\) | −666882. | + | 1.64736e6i | −0.132113 | + | 0.326351i | ||||
\(481\) | 1.83102e6 | − | 2.74031e6i | 0.360853 | − | 0.540054i | ||||
\(482\) | −1.79108e6 | − | 209066.i | −0.351153 | − | 0.0409889i | ||||
\(483\) | −2.35125e6 | + | 1.57106e6i | −0.458598 | + | 0.306425i | ||||
\(484\) | −1.05215e6 | − | 1.70462e6i | −0.204157 | − | 0.330761i | ||||
\(485\) | −2.53113e6 | + | 1.04843e6i | −0.488608 | + | 0.202388i | ||||
\(486\) | −3.28912e6 | − | 4.15845e6i | −0.631669 | − | 0.798621i | ||||
\(487\) | −1.87891e6 | − | 373738.i | −0.358991 | − | 0.0714077i | 0.0123000 | − | 0.999924i | \(-0.496085\pi\) |
−0.371291 | + | 0.928517i | \(0.621085\pi\) | |||||||
\(488\) | 5.46681e6 | + | 1.98688e6i | 1.03916 | + | 0.377679i | ||||
\(489\) | 720314. | − | 720314.i | 0.136223 | − | 0.136223i | ||||
\(490\) | 155509. | + | 548017.i | 0.0292594 | + | 0.103111i | ||||
\(491\) | −1.21600e6 | − | 503685.i | −0.227631 | − | 0.0942877i | 0.265953 | − | 0.963986i | \(-0.414313\pi\) |
−0.493584 | + | 0.869698i | \(0.664313\pi\) | |||||||
\(492\) | 1.52876e6 | − | 247177.i | 0.284725 | − | 0.0460357i | ||||
\(493\) | 2.76426e6 | + | 5.27485e6i | 0.512226 | + | 0.977445i | ||||
\(494\) | 84010.9 | + | 1.04594e6i | 0.0154888 | + | 0.192836i | ||||
\(495\) | 260420. | − | 628710.i | 0.0477707 | − | 0.115329i | ||||
\(496\) | 1.92431e6 | + | 3.38482e6i | 0.351214 | + | 0.617777i | ||||
\(497\) | −7.99564e6 | − | 7.99564e6i | −1.45199 | − | 1.45199i | ||||
\(498\) | −3.30628e6 | + | 5.92614e6i | −0.597401 | + | 1.07077i | ||||
\(499\) | 1.58727e6 | − | 7.97976e6i | 0.285365 | − | 1.43463i | −0.526199 | − | 0.850362i | \(-0.676383\pi\) |
0.811564 | − | 0.584264i | \(-0.198617\pi\) | |||||||
\(500\) | 2.05674e6 | + | 2.21066e6i | 0.367921 | + | 0.395454i | ||||
\(501\) | 864802. | + | 2.08782e6i | 0.153930 | + | 0.371619i | ||||
\(502\) | −2.63833e6 | − | 5.15747e6i | −0.467271 | − | 0.913435i | ||||
\(503\) | 2.23488e6 | + | 3.34473e6i | 0.393852 | + | 0.589442i | 0.974410 | − | 0.224777i | \(-0.0721654\pi\) |
−0.580558 | + | 0.814219i | \(0.697165\pi\) | |||||||
\(504\) | −3.80170e6 | + | 167753.i | −0.666656 | + | 0.0294167i | ||||
\(505\) | −670480. | − | 448001.i | −0.116992 | − | 0.0781718i | ||||
\(506\) | −1.09407e6 | + | 1.28517e6i | −0.189963 | + | 0.223144i | ||||
\(507\) | 4.87909e6 | − | 970511.i | 0.842983 | − | 0.167680i | ||||
\(508\) | −4.27198e6 | − | 1.01108e6i | −0.734464 | − | 0.173831i | ||||
\(509\) | − | 2.69706e6i | − | 0.461419i | −0.973023 | − | 0.230710i | \(-0.925895\pi\) | ||
0.973023 | − | 0.230710i | \(-0.0741047\pi\) | |||||||
\(510\) | 741087. | + | 1.93072e6i | 0.126166 | + | 0.328696i | ||||
\(511\) | 4.86961e6i | 0.824977i | ||||||||
\(512\) | 5.61419e6 | − | 1.91448e6i | 0.946482 | − | 0.322757i | ||||
\(513\) | 1.09298e6 | − | 217408.i | 0.183367 | − | 0.0364739i | ||||
\(514\) | 8.50126e6 | + | 7.23713e6i | 1.41930 | + | 1.20826i | ||||
\(515\) | 1.52165e6 | + | 1.01673e6i | 0.252811 | + | 0.168923i | ||||
\(516\) | −2.90876e6 | − | 104911.i | −0.480931 | − | 0.0173459i | ||||
\(517\) | −878212. | − | 1.31434e6i | −0.144502 | − | 0.216262i | ||||
\(518\) | −7.41139e6 | + | 3.79133e6i | −1.21360 | + | 0.620821i | ||||
\(519\) | −3.45557e6 | − | 8.34249e6i | −0.563121 | − | 1.35949i | ||||
\(520\) | 655585. | − | 716113.i | 0.106321 | − | 0.116138i | ||||
\(521\) | 825103. | − | 4.14807e6i | 0.133172 | − | 0.669502i | −0.855304 | − | 0.518127i | \(-0.826630\pi\) |
0.988476 | − | 0.151376i | \(-0.0483704\pi\) | |||||||
\(522\) | 3.40654e6 | + | 1.90056e6i | 0.547189 | + | 0.305285i | ||||
\(523\) | −1.24191e6 | − | 1.24191e6i | −0.198534 | − | 0.198534i | 0.600837 | − | 0.799371i | \(-0.294834\pi\) |
−0.799371 | + | 0.600837i | \(0.794834\pi\) | |||||||
\(524\) | 6.49596e6 | − | 2.42026e6i | 1.03351 | − | 0.385065i | ||||
\(525\) | −3.27520e6 | + | 7.90703e6i | −0.518608 | + | 1.25203i | ||||
\(526\) | −1.10959e7 | + | 891232.i | −1.74863 | + | 0.140451i | ||||
\(527\) | 4.32478e6 | + | 1.35061e6i | 0.678324 | + | 0.211839i | ||||
\(528\) | −5.95180e6 | + | 1.97630e6i | −0.929102 | + | 0.308509i | ||||
\(529\) | 5.11103e6 | + | 2.11706e6i | 0.794089 | + | 0.328922i | ||||
\(530\) | 344011. | − | 97619.1i | 0.0531965 | − | 0.0150954i | ||||
\(531\) | 4.98325e6 | − | 4.98325e6i | 0.766966 | − | 0.766966i | ||||
\(532\) | 1.10190e6 | − | 2.41058e6i | 0.168796 | − | 0.369268i | ||||
\(533\) | −829735. | − | 165045.i | −0.126509 | − | 0.0251642i | ||||
\(534\) | −6.97721e6 | + | 5.51862e6i | −1.05884 | + | 0.837486i | ||||
\(535\) | −2.90025e6 | + | 1.20132e6i | −0.438077 | + | 0.181457i | ||||
\(536\) | 6.59854e6 | + | 8.99052e6i | 0.992055 | + | 1.35168i | ||||
\(537\) | 9.78753e6 | − | 6.53982e6i | 1.46466 | − | 0.978656i | ||||
\(538\) | −361347. | + | 3.09567e6i | −0.0538231 | + | 0.461105i | ||||
\(539\) | −1.11678e6 | + | 1.67138e6i | −0.165576 | + | 0.247801i | ||||
\(540\) | −836127. | − | 603380.i | −0.123392 | − | 0.0890444i | ||||
\(541\) | 791633. | + | 3.97981e6i | 0.116287 | + | 0.584614i | 0.994357 | + | 0.106082i | \(0.0338307\pi\) |
−0.878070 | + | 0.478531i | \(0.841169\pi\) | |||||||
\(542\) | 6.21551e6 | + | 2.00849e6i | 0.908822 | + | 0.293678i | ||||
\(543\) | 1.06171e7 | 1.54528 | ||||||||
\(544\) | 3.25454e6 | − | 6.08691e6i | 0.471512 | − | 0.881860i | ||||
\(545\) | −493845. | −0.0712196 | ||||||||
\(546\) | 5.46198e6 | + | 1.76499e6i | 0.784094 | + | 0.253373i | ||||
\(547\) | 2.01012e6 | + | 1.01055e7i | 0.287245 | + | 1.44408i | 0.807399 | + | 0.590006i | \(0.200875\pi\) |
−0.520154 | + | 0.854073i | \(0.674125\pi\) | |||||||
\(548\) | −1.30181e6 | − | 939434.i | −0.185181 | − | 0.133633i | ||||
\(549\) | 2.46317e6 | − | 3.68640e6i | 0.348790 | − | 0.522001i | ||||
\(550\) | −592237. | + | 5.07372e6i | −0.0834812 | + | 0.715187i | ||||
\(551\) | −2.25907e6 | + | 1.50946e6i | −0.316994 | + | 0.211809i | ||||
\(552\) | −1.98792e6 | − | 2.70854e6i | −0.277684 | − | 0.378344i | ||||
\(553\) | −1.17601e6 | + | 487118.i | −0.163530 | + | 0.0677363i | ||||
\(554\) | −9.46140e6 | + | 7.48348e6i | −1.30973 | + | 1.03593i | ||||
\(555\) | 2.90651e6 | + | 578141.i | 0.400534 | + | 0.0796712i | ||||
\(556\) | 944331. | − | 2.06587e6i | 0.129550 | − | 0.283411i | ||||
\(557\) | 3.59219e6 | − | 3.59219e6i | 0.490592 | − | 0.490592i | −0.417900 | − | 0.908493i | \(-0.637234\pi\) |
0.908493 | + | 0.417900i | \(0.137234\pi\) | |||||||
\(558\) | 2.85505e6 | − | 810168.i | 0.388175 | − | 0.110151i | ||||
\(559\) | 1.46902e6 | + | 608490.i | 0.198838 | + | 0.0823614i | ||||
\(560\) | −2.32743e6 | + | 772823.i | −0.313622 | + | 0.104138i | ||||
\(561\) | −3.49259e6 | + | 6.40761e6i | −0.468533 | + | 0.859585i | ||||
\(562\) | −133646. | + | 10734.6i | −0.0178491 | + | 0.00143365i | ||||
\(563\) | 2.43650e6 | − | 5.88224e6i | 0.323964 | − | 0.782117i | −0.675053 | − | 0.737770i | \(-0.735879\pi\) |
0.999016 | − | 0.0443475i | \(-0.0141209\pi\) | |||||||
\(564\) | 2.94864e6 | − | 1.09860e6i | 0.390323 | − | 0.145426i | ||||
\(565\) | −1.15332e6 | − | 1.15332e6i | −0.151995 | − | 0.151995i | ||||
\(566\) | −1.25464e7 | − | 6.99981e6i | −1.64618 | − | 0.918428i | ||||
\(567\) | 2.18589e6 | − | 1.09892e7i | 0.285542 | − | 1.43552i | ||||
\(568\) | 9.07166e6 | − | 9.90920e6i | 1.17982 | − | 1.28875i | ||||
\(569\) | −1.70236e6 | − | 4.10987e6i | −0.220430 | − | 0.532166i | 0.774518 | − | 0.632551i | \(-0.217992\pi\) |
−0.994949 | + | 0.100386i | \(0.967992\pi\) | |||||||
\(570\) | −839985. | + | 429697.i | −0.108289 | + | 0.0553957i | ||||
\(571\) | −2.03823e6 | − | 3.05042e6i | −0.261615 | − | 0.391534i | 0.677287 | − | 0.735719i | \(-0.263155\pi\) |
−0.938902 | + | 0.344184i | \(0.888155\pi\) | |||||||
\(572\) | 3.42375e6 | + | 123486.i | 0.437534 | + | 0.0157807i | ||||
\(573\) | −6.29600e6 | − | 4.20685e6i | −0.801084 | − | 0.535267i | ||||
\(574\) | 1.62715e6 | + | 1.38520e6i | 0.206134 | + | 0.175482i | ||||
\(575\) | −2.68403e6 | + | 533886.i | −0.338546 | + | 0.0673409i | ||||
\(576\) | −398230. | − | 4.50365e6i | −0.0500123 | − | 0.565599i | ||||
\(577\) | − | 9.57280e6i | − | 1.19702i | −0.801117 | − | 0.598508i | \(-0.795761\pi\) | ||
0.801117 | − | 0.598508i | \(-0.204239\pi\) | |||||||
\(578\) | −2.06599e6 | − | 7.76167e6i | −0.257223 | − | 0.966352i | ||||
\(579\) | 1.15925e7i | 1.43708i | ||||||||
\(580\) | 2.44631e6 | + | 578987.i | 0.301954 | + | 0.0714658i | ||||
\(581\) | −9.18411e6 | + | 1.82683e6i | −1.12875 | + | 0.224522i | ||||
\(582\) | 1.24747e7 | − | 1.46537e7i | 1.52659 | − | 1.79325i | ||||
\(583\) | 1.04919e6 | + | 701047.i | 0.127845 | + | 0.0854232i | ||||
\(584\) | −5.77999e6 | + | 255047.i | −0.701285 | + | 0.0309448i | ||||
\(585\) | −411136. | − | 615309.i | −0.0496702 | − | 0.0743367i | ||||
\(586\) | 469473. | + | 917738.i | 0.0564763 | + | 0.110401i | ||||
\(587\) | −2.30966e6 | − | 5.57600e6i | −0.276664 | − | 0.667925i | 0.723075 | − | 0.690769i | \(-0.242728\pi\) |
−0.999739 | + | 0.0228441i | \(0.992728\pi\) | |||||||
\(588\) | −2.72563e6 | − | 2.92960e6i | −0.325105 | − | 0.349434i | ||||
\(589\) | −403265. | + | 2.02735e6i | −0.0478963 | + | 0.240791i | ||||
\(590\) | 2.21277e6 | − | 3.96615e6i | 0.261702 | − | 0.469071i | ||||
\(591\) | −4.45166e6 | − | 4.45166e6i | −0.524268 | − | 0.524268i | ||||
\(592\) | −4.88829e6 | − | 8.59838e6i | −0.573261 | − | 1.00835i | ||||
\(593\) | −1.37972e6 | + | 3.33093e6i | −0.161122 | + | 0.388982i | −0.983737 | − | 0.179617i | \(-0.942514\pi\) |
0.822615 | + | 0.568599i | \(0.192514\pi\) | |||||||
\(594\) | −291309. | − | 3.62681e6i | −0.0338756 | − | 0.421753i | ||||
\(595\) | −1.36576e6 | + | 2.50567e6i | −0.158155 | + | 0.290156i | ||||
\(596\) | −1.03256e7 | + | 1.66950e6i | −1.19070 | + | 0.192518i | ||||
\(597\) | −1.39263e7 | − | 5.76847e6i | −1.59919 | − | 0.662407i | ||||
\(598\) | 501045. | + | 1.76569e6i | 0.0572959 | + | 0.201912i | ||||
\(599\) | −5.36337e6 | + | 5.36337e6i | −0.610760 | + | 0.610760i | −0.943144 | − | 0.332384i | \(-0.892147\pi\) |
0.332384 | + | 0.943144i | \(0.392147\pi\) | |||||||
\(600\) | −9.55679e6 | − | 3.47337e6i | −1.08376 | − | 0.393888i | ||||
\(601\) | 21642.5 | + | 4304.97i | 0.00244412 | + | 0.000486165i | 0.196312 | − | 0.980541i | \(-0.437103\pi\) |
−0.193868 | + | 0.981028i | \(0.562103\pi\) | |||||||
\(602\) | −2.49159e6 | − | 3.15013e6i | −0.280211 | − | 0.354272i | ||||
\(603\) | 7.85334e6 | − | 3.25296e6i | 0.879551 | − | 0.364322i | ||||
\(604\) | 6.37394e6 | + | 1.03266e7i | 0.710912 | + | 1.15177i | ||||
\(605\) | −818155. | + | 546674.i | −0.0908755 | + | 0.0607211i | ||||
\(606\) | 5.62610e6 | + | 656714.i | 0.622337 | + | 0.0726432i | ||||
\(607\) | −8.10702e6 | + | 1.21330e7i | −0.893079 | + | 1.33659i | 0.0481582 | + | 0.998840i | \(0.484665\pi\) |
−0.941237 | + | 0.337747i | \(0.890335\pi\) | |||||||
\(608\) | 2.91895e6 | + | 1.18164e6i | 0.320234 | + | 0.129637i | ||||
\(609\) | 2.89957e6 | + | 1.45771e7i | 0.316804 | + | 1.59268i | ||||
\(610\) | 878554. | − | 2.71879e6i | 0.0955969 | − | 0.295836i | ||||
\(611\) | −1.71899e6 | −0.186281 | ||||||||
\(612\) | −3.91536e6 | − | 3.51416e6i | −0.422564 | − | 0.379266i | ||||
\(613\) | 1.29476e7 | 1.39168 | 0.695839 | − | 0.718198i | \(-0.255033\pi\) | ||||
0.695839 | + | 0.718198i | \(0.255033\pi\) | |||||||
\(614\) | 1.27404e6 | − | 3.94266e6i | 0.136383 | − | 0.422055i | ||||
\(615\) | −148404. | − | 746077.i | −0.0158219 | − | 0.0795419i | ||||
\(616\) | −7.40030e6 | − | 4.48592e6i | −0.785774 | − | 0.476321i | ||||
\(617\) | 622529. | − | 931680.i | 0.0658334 | − | 0.0985267i | −0.797092 | − | 0.603858i | \(-0.793630\pi\) |
0.862926 | + | 0.505331i | \(0.168630\pi\) | |||||||
\(618\) | −1.27683e7 | − | 1.49040e6i | −1.34482 | − | 0.156976i | ||||
\(619\) | 350062. | − | 233904.i | 0.0367213 | − | 0.0245364i | −0.537074 | − | 0.843535i | \(-0.680470\pi\) |
0.573795 | + | 0.818999i | \(0.305470\pi\) | |||||||
\(620\) | 1.62751e6 | − | 1.00456e6i | 0.170037 | − | 0.104953i | ||||
\(621\) | 1.80088e6 | − | 745948.i | 0.187394 | − | 0.0776210i | ||||
\(622\) | 5.10983e6 | + | 6.46039e6i | 0.529579 | + | 0.669549i | ||||
\(623\) | −1.20395e7 | − | 2.39481e6i | −1.24276 | − | 0.247201i | ||||
\(624\) | −1.80889e6 | + | 6.57554e6i | −0.185973 | + | 0.676036i | ||||
\(625\) | −5.31059e6 | + | 5.31059e6i | −0.543804 | + | 0.543804i | ||||
\(626\) | −2.30131e6 | − | 8.10986e6i | −0.234714 | − | 0.827137i | ||||
\(627\) | −3.07596e6 | − | 1.27410e6i | −0.312473 | − | 0.129430i | ||||
\(628\) | −188301. | − | 1.16462e6i | −0.0190526 | − | 0.117838i | ||||
\(629\) | −1.09861e7 | − | 3.43094e6i | −1.10718 | − | 0.345769i | ||||
\(630\) | 149658. | + | 1.86326e6i | 0.0150228 | + | 0.187034i | ||||
\(631\) | 904899. | − | 2.18462e6i | 0.0904746 | − | 0.218425i | −0.872164 | − | 0.489213i | \(-0.837284\pi\) |
0.962639 | + | 0.270788i | \(0.0872842\pi\) | |||||||
\(632\) | −639779. | − | 1.37035e6i | −0.0637143 | − | 0.136470i | ||||
\(633\) | 3.49493e6 | + | 3.49493e6i | 0.346680 | + | 0.346680i | ||||
\(634\) | −6.55166e6 | + | 1.17431e7i | −0.647334 | + | 1.16027i | ||||
\(635\) | −420696. | + | 2.11498e6i | −0.0414033 | + | 0.208148i | ||||
\(636\) | −1.83902e6 | + | 1.71098e6i | −0.180279 | + | 0.167727i | ||||
\(637\) | 836528. | + | 2.01956e6i | 0.0816831 | + | 0.197200i | ||||
\(638\) | 4.03999e6 | + | 7.89748e6i | 0.392942 | + | 0.768134i | ||||
\(639\) | −5.68909e6 | − | 8.51433e6i | −0.551177 | − | 0.824895i | ||||
\(640\) | −1.03920e6 | − | 2.72206e6i | −0.100288 | − | 0.262693i | ||||
\(641\) | −3.63646e6 | − | 2.42980e6i | −0.349569 | − | 0.233575i | 0.368372 | − | 0.929679i | \(-0.379915\pi\) |
−0.717941 | + | 0.696104i | \(0.754915\pi\) | |||||||
\(642\) | 1.42939e7 | − | 1.67906e7i | 1.36872 | − | 1.60779i | ||||
\(643\) | −1.28461e7 | + | 2.55525e6i | −1.22530 | + | 0.243728i | −0.764998 | − | 0.644032i | \(-0.777260\pi\) |
−0.460306 | + | 0.887760i | \(0.652260\pi\) | |||||||
\(644\) | 1.06777e6 | − | 4.51148e6i | 0.101452 | − | 0.428651i | ||||
\(645\) | 1.42974e6i | 0.135319i | ||||||||
\(646\) | 3.42104e6 | − | 1.31313e6i | 0.322535 | − | 0.123801i | ||||
\(647\) | − | 1.16703e7i | − | 1.09603i | −0.836470 | − | 0.548013i | \(-0.815384\pi\) | ||
0.836470 | − | 0.548013i | \(-0.184616\pi\) | |||||||
\(648\) | 1.31581e7 | + | 2.01898e6i | 1.23100 | + | 0.188884i | ||||
\(649\) | 1.57183e7 | − | 3.12657e6i | 1.46486 | − | 0.291378i | ||||
\(650\) | 4.22978e6 | + | 3.60082e6i | 0.392676 | + | 0.334286i | ||||
\(651\) | 9.40189e6 | + | 6.28214e6i | 0.869486 | + | 0.580972i | ||||
\(652\) | −60196.3 | + | 1.66900e6i | −0.00554563 | + | 0.153758i | ||||
\(653\) | 9.86874e6 | + | 1.47696e7i | 0.905688 | + | 1.35546i | 0.934534 | + | 0.355875i | \(0.115817\pi\) |
−0.0288453 | + | 0.999584i | \(0.509183\pi\) | |||||||
\(654\) | 3.08831e6 | − | 1.57984e6i | 0.282343 | − | 0.144434i | ||||
\(655\) | −1.30310e6 | − | 3.14596e6i | −0.118679 | − | 0.286517i | ||||
\(656\) | −1.55894e6 | + | 2.00390e6i | −0.141439 | + | 0.181810i | ||||
\(657\) | −860332. | + | 4.32518e6i | −0.0777593 | + | 0.390923i | ||||
\(658\) | 3.79182e6 | + | 2.11552e6i | 0.341416 | + | 0.190481i | ||||
\(659\) | 5.56385e6 | + | 5.56385e6i | 0.499070 | + | 0.499070i | 0.911149 | − | 0.412078i | \(-0.135197\pi\) |
−0.412078 | + | 0.911149i | \(0.635197\pi\) | |||||||
\(660\) | 1.07553e6 | + | 2.88670e6i | 0.0961084 | + | 0.257954i | ||||
\(661\) | −4.05934e6 | + | 9.80011e6i | −0.361369 | + | 0.872423i | 0.633731 | + | 0.773554i | \(0.281523\pi\) |
−0.995100 | + | 0.0988695i | \(0.968477\pi\) | |||||||
\(662\) | −2.76467e6 | + | 222061.i | −0.245188 | + | 0.0196937i | ||||
\(663\) | 3.68360e6 | + | 7.02916e6i | 0.325453 | + | 0.621040i | ||||
\(664\) | −2.64938e6 | − | 1.08054e7i | −0.233198 | − | 0.951088i | ||||
\(665\) | −1.20284e6 | − | 498233.i | −0.105476 | − | 0.0436896i | ||||
\(666\) | −7.25261e6 | + | 2.05805e6i | −0.633591 | + | 0.179792i | ||||
\(667\) | −3.36045e6 | + | 3.36045e6i | −0.292471 | + | 0.292471i | ||||
\(668\) | −3.36956e6 | − | 1.54026e6i | −0.292168 | − | 0.133553i | ||||
\(669\) | 2.22439e7 | + | 4.42458e6i | 1.92152 | + | 0.382214i | ||||
\(670\) | 4.29655e6 | − | 3.39835e6i | 0.369771 | − | 0.292470i | ||||
\(671\) | 9.31486e6 | − | 3.85834e6i | 0.798675 | − | 0.330822i | ||||
\(672\) | 1.20825e7 | − | 1.22785e7i | 1.03213 | − | 1.04887i | ||||
\(673\) | −1.91939e6 | + | 1.28250e6i | −0.163352 | + | 0.109149i | −0.634560 | − | 0.772874i | \(-0.718818\pi\) |
0.471207 | + | 0.882023i | \(0.343818\pi\) | |||||||
\(674\) | −61633.1 | + | 528013.i | −0.00522594 | + | 0.0447708i | ||||
\(675\) | 3.27757e6 | − | 4.90524e6i | 0.276881 | − | 0.414382i | ||||
\(676\) | −4.77259e6 | + | 6.61356e6i | −0.401686 | + | 0.556632i | ||||
\(677\) | 3.69678e6 | + | 1.85850e7i | 0.309993 | + | 1.55844i | 0.750610 | + | 0.660745i | \(0.229760\pi\) |
−0.440617 | + | 0.897695i | \(0.645240\pi\) | |||||||
\(678\) | 1.09020e7 | + | 3.52288e6i | 0.910816 | + | 0.294323i | ||||
\(679\) | 2.65553e7 | 2.21043 | ||||||||
\(680\) | −3.04564e6 | − | 1.48986e6i | −0.252584 | − | 0.123558i | ||||
\(681\) | 2.46075e7 | 2.03329 | ||||||||
\(682\) | 6.42197e6 | + | 2.07521e6i | 0.528698 | + | 0.170844i | ||||
\(683\) | −2.28862e6 | − | 1.15057e7i | −0.187725 | − | 0.943759i | −0.953671 | − | 0.300853i | \(-0.902729\pi\) |
0.765945 | − | 0.642906i | \(-0.222271\pi\) | |||||||
\(684\) | 1.40459e6 | − | 1.94639e6i | 0.114791 | − | 0.159071i | ||||
\(685\) | −438112. | + | 655680.i | −0.0356745 | + | 0.0533907i | ||||
\(686\) | −1.03928e6 | + | 8.90353e6i | −0.0843182 | + | 0.722357i | ||||
\(687\) | −1.44625e7 | + | 9.66356e6i | −1.16910 | + | 0.781170i | ||||
\(688\) | 3.60855e6 | − | 3.12239e6i | 0.290644 | − | 0.251487i | ||||
\(689\) | 1.26776e6 | − | 525121.i | 0.101739 | − | 0.0421417i | ||||
\(690\) | −1.29440e6 | + | 1.02381e6i | −0.103502 | + | 0.0818644i | ||||
\(691\) | 1.13512e7 | + | 2.25789e6i | 0.904371 | + | 0.179891i | 0.625304 | − | 0.780381i | \(-0.284975\pi\) |
0.279067 | + | 0.960272i | \(0.409975\pi\) | |||||||
\(692\) | 1.34641e7 | + | 6.15457e6i | 1.06884 | + | 0.488577i | ||||
\(693\) | −4.66414e6 | + | 4.66414e6i | −0.368926 | + | 0.368926i | ||||
\(694\) | −8.81188e6 | + | 2.50052e6i | −0.694496 | + | 0.197075i | ||||
\(695\) | −1.03084e6 | − | 426988.i | −0.0809523 | − | 0.0335315i | ||||
\(696\) | −1.71504e7 | + | 4.20512e6i | −1.34200 | + | 0.329045i | ||||
\(697\) | 265532. | + | 2.94241e6i | 0.0207031 | + | 0.229415i | ||||
\(698\) | 3.03096e6 | − | 243450.i | 0.235473 | − | 0.0189134i | ||||
\(699\) | −9.85138e6 | + | 2.37833e7i | −0.762613 | + | 1.84111i | ||||
\(700\) | −4.89882e6 | − | 1.31484e7i | −0.377874 | − | 1.01421i | ||||
\(701\) | 4.69766e6 | + | 4.69766e6i | 0.361066 | + | 0.361066i | 0.864205 | − | 0.503139i | \(-0.167822\pi\) |
−0.503139 | + | 0.864205i | \(0.667822\pi\) | |||||||
\(702\) | −3.45531e6 | − | 1.92777e6i | −0.264633 | − | 0.147643i | ||||
\(703\) | 1.02440e6 | − | 5.15003e6i | 0.0781777 | − | 0.393026i | ||||
\(704\) | 4.93697e6 | − | 9.01875e6i | 0.375430 | − | 0.685827i | ||||
\(705\) | −591502. | − | 1.42801e6i | −0.0448212 | − | 0.108208i | ||||
\(706\) | −768241. | + | 392997.i | −0.0580077 | + | 0.0296741i | ||||
\(707\) | 4.34241e6 | + | 6.49887e6i | 0.326725 | + | 0.488978i | ||||
\(708\) | −1.14988e6 | + | 3.18815e7i | −0.0862124 | + | 2.39032i | ||||
\(709\) | −1.67186e7 | − | 1.11710e7i | −1.24906 | − | 0.834596i | −0.257760 | − | 0.966209i | \(-0.582984\pi\) |
−0.991301 | + | 0.131613i | \(0.957984\pi\) | |||||||
\(710\) | −5.02496e6 | − | 4.27776e6i | −0.374099 | − | 0.318471i | ||||
\(711\) | −1.13059e6 | + | 224888.i | −0.0838746 | + | 0.0166837i | ||||
\(712\) | 2.21195e6 | − | 1.44157e7i | 0.163521 | − | 1.06570i | ||||
\(713\) | 3.61563e6i | 0.266354i | ||||||||
\(714\) | 525161. | − | 2.00386e7i | 0.0385520 | − | 1.47103i | ||||
\(715\) | − | 1.68288e6i | − | 0.123108i | ||||||
\(716\) | −4.44477e6 | + | 1.87799e7i | −0.324016 | + | 1.36902i | ||||
\(717\) | −1.04259e7 | + | 2.07383e6i | −0.757381 | + | 0.150652i | ||||
\(718\) | −1.54989e7 | + | 1.82061e7i | −1.12199 | + | 1.31797i | ||||
\(719\) | 1.26189e7 | + | 8.43169e6i | 0.910332 | + | 0.608264i | 0.920098 | − | 0.391688i | \(-0.128109\pi\) |
−0.00976632 | + | 0.999952i | \(0.503109\pi\) | |||||||
\(720\) | −2.20375e6 | + | 275225.i | −0.158428 | + | 0.0197860i | ||||
\(721\) | −9.85503e6 | − | 1.47491e7i | −0.706024 | − | 1.05664i | ||||
\(722\) | −5.61771e6 | − | 1.09817e7i | −0.401066 | − | 0.784016i | ||||
\(723\) | −2.38104e6 | − | 5.74834e6i | −0.169403 | − | 0.408975i | ||||
\(724\) | −1.27438e7 | + | 1.18565e7i | −0.903551 | + | 0.840643i | ||||
\(725\) | −2.80603e6 | + | 1.41069e7i | −0.198266 | + | 0.996750i | ||||
\(726\) | 3.36758e6 | − | 6.03600e6i | 0.237124 | − | 0.425018i | ||||
\(727\) | −1.60081e7 | − | 1.60081e7i | −1.12332 | − | 1.12332i | −0.991239 | − | 0.132083i | \(-0.957833\pi\) |
−0.132083 | − | 0.991239i | \(-0.542167\pi\) | |||||||
\(728\) | −8.52706e6 | + | 3.98105e6i | −0.596309 | + | 0.278400i | ||||
\(729\) | 162258. | − | 391727.i | 0.0113081 | − | 0.0273001i | ||||
\(730\) | 227536. | + | 2.83283e6i | 0.0158031 | + | 0.196750i | ||||
\(731\) | 589431. | − | 5.52144e6i | 0.0407981 | − | 0.382172i | ||||
\(732\) | 3.20343e6 | + | 1.98128e7i | 0.220972 | + | 1.36668i | ||||
\(733\) | −2.41999e7 | − | 1.00239e7i | −1.66362 | − | 0.689094i | −0.665275 | − | 0.746598i | \(-0.731686\pi\) |
−0.998345 | + | 0.0575037i | \(0.981686\pi\) | |||||||
\(734\) | −5.71726e6 | − | 2.01477e7i | −0.391695 | − | 1.38034i | ||||
\(735\) | −1.38986e6 | + | 1.38986e6i | −0.0948969 | + | 0.0948969i | ||||
\(736\) | 5.41082e6 | + | 1.03110e6i | 0.368187 | + | 0.0701624i | ||||
\(737\) | 1.89591e7 | + | 3.77121e6i | 1.28573 | + | 0.255748i | ||||
\(738\) | 1.20051e6 | + | 1.51781e6i | 0.0811379 | + | 0.102583i | ||||
\(739\) | 1.42763e7 | − | 5.91345e6i | 0.961624 | − | 0.398318i | 0.154037 | − | 0.988065i | \(-0.450773\pi\) |
0.807588 | + | 0.589747i | \(0.200773\pi\) | |||||||
\(740\) | −4.13433e6 | + | 2.55186e6i | −0.277540 | + | 0.171308i | ||||
\(741\) | −3.01040e6 | + | 2.01148e6i | −0.201409 | + | 0.134577i | ||||
\(742\) | −3.44273e6 | − | 401858.i | −0.229559 | − | 0.0267956i | ||||
\(743\) | −2.05895e6 | + | 3.08144e6i | −0.136828 | + | 0.204777i | −0.893555 | − | 0.448953i | \(-0.851797\pi\) |
0.756728 | + | 0.653730i | \(0.226797\pi\) | |||||||
\(744\) | −6.96416e6 | + | 1.14886e7i | −0.461250 | + | 0.760913i | ||||
\(745\) | 1.00236e6 | + | 5.03921e6i | 0.0661658 | + | 0.332638i | ||||
\(746\) | 7.75654e6 | − | 2.40035e7i | 0.510295 | − | 1.57917i | ||||
\(747\) | −8.48006e6 | −0.556029 | ||||||||
\(748\) | −2.96343e6 | − | 1.15914e7i | −0.193660 | − | 0.757497i | ||||
\(749\) | 3.04279e7 | 1.98183 | ||||||||
\(750\) | −3.20354e6 | + | 9.91374e6i | −0.207959 | + | 0.643553i | ||||
\(751\) | −3.85919e6 | − | 1.94015e7i | −0.249687 | − | 1.25526i | −0.878514 | − | 0.477717i | \(-0.841464\pi\) |
0.628826 | − | 0.777546i | \(-0.283536\pi\) | |||||||
\(752\) | −2.31242e6 | + | 4.61151e6i | −0.149115 | + | 0.297371i | ||||
\(753\) | 1.11052e7 | − | 1.66201e7i | 0.713738 | − | 1.06818i | ||||
\(754\) | 9.58159e6 | + | 1.11843e6i | 0.613775 | + | 0.0716438i | ||||
\(755\) | 4.95638e6 | − | 3.31175e6i | 0.316445 | − | 0.211441i | ||||
\(756\) | 5.24943e6 | + | 8.50474e6i | 0.334047 | + | 0.541198i | ||||
\(757\) | −1.69954e7 | + | 7.03972e6i | −1.07793 | + | 0.446494i | −0.849783 | − | 0.527132i | \(-0.823267\pi\) |
−0.228149 | + | 0.973626i | \(0.573267\pi\) | |||||||
\(758\) | 1.00001e7 | + | 1.26432e7i | 0.632167 | + | 0.799251i | ||||
\(759\) | −5.71174e6 | − | 1.13614e6i | −0.359885 | − | 0.0715856i | ||||
\(760\) | 528379. | − | 1.45381e6i | 0.0331827 | − | 0.0913005i | ||||
\(761\) | 3.96149e6 | − | 3.96149e6i | 0.247969 | − | 0.247969i | −0.572168 | − | 0.820137i | \(-0.693897\pi\) |
0.820137 | + | 0.572168i | \(0.193897\pi\) | |||||||
\(762\) | −4.13508e6 | − | 1.45721e7i | −0.257986 | − | 0.909148i | ||||
\(763\) | 4.42240e6 | + | 1.83182e6i | 0.275009 | + | 0.113912i | ||||
\(764\) | 1.22550e7 | − | 1.98146e6i | 0.759594 | − | 0.122815i | ||||
\(765\) | −1.65575e6 | + | 1.98424e6i | −0.102292 | + | 0.122586i | ||||
\(766\) | −1.92138e6 | − | 2.39212e7i | −0.118315 | − | 1.47303i | ||||
\(767\) | 6.66936e6 | − | 1.61013e7i | 0.409351 | − | 0.988261i | ||||
\(768\) | 1.52068e7 | + | 1.36982e7i | 0.930325 | + | 0.838034i | ||||
\(769\) | −1.02938e7 | − | 1.02938e7i | −0.627711 | − | 0.627711i | 0.319781 | − | 0.947492i | \(-0.396391\pi\) |
−0.947492 | + | 0.319781i | \(0.896391\pi\) | |||||||
\(770\) | −2.07108e6 | + | 3.71217e6i | −0.125884 | + | 0.225632i | ||||
\(771\) | −7.51539e6 | + | 3.77824e7i | −0.455319 | + | 2.28904i | ||||
\(772\) | −1.29458e7 | − | 1.39146e7i | −0.781781 | − | 0.840284i | ||||
\(773\) | −2.37571e6 | − | 5.73548e6i | −0.143003 | − | 0.345240i | 0.836108 | − | 0.548564i | \(-0.184825\pi\) |
−0.979111 | + | 0.203324i | \(0.934825\pi\) | |||||||
\(774\) | −1.65648e6 | − | 3.23814e6i | −0.0993881 | − | 0.194287i | ||||
\(775\) | 6.07949e6 | + | 9.09860e6i | 0.363591 | + | 0.544152i | ||||
\(776\) | 1.39084e6 | + | 3.15198e7i | 0.0829129 | + | 1.87901i | ||||
\(777\) | −2.38834e7 | − | 1.59584e7i | −1.41920 | − | 0.948279i | ||||
\(778\) | −1.23120e7 | + | 1.44626e7i | −0.729256 | + | 0.856636i | ||||
\(779\) | −1.32197e6 | + | 262956.i | −0.0780509 | + | 0.0155253i | ||||
\(780\) | 3.25990e6 | + | 771547.i | 0.191853 | + | 0.0454073i | ||||
\(781\) | − | 2.32868e7i | − | 1.36610i | ||||||
\(782\) | 5.42086e6 | − | 3.42014e6i | 0.316994 | − | 0.199999i | ||||
\(783\) | − | 1.02450e7i | − | 0.597185i | ||||||
\(784\) | 6.54317e6 | + | 472604.i | 0.380188 | + | 0.0274604i | ||||
\(785\) | −568368. | + | 113055.i | −0.0329197 | + | 0.00654813i | ||||
\(786\) | 1.82132e7 | + | 1.55049e7i | 1.05155 | + | 0.895185i | ||||
\(787\) | −1.65199e7 | − | 1.10382e7i | −0.950757 | − | 0.635275i | −0.0195664 | − | 0.999809i | \(-0.506229\pi\) |
−0.931190 | + | 0.364533i | \(0.881229\pi\) | |||||||
\(788\) | 1.03147e7 | + | 372023.i | 0.591753 | + | 0.0213430i | ||||
\(789\) | −2.13389e7 | − | 3.19359e7i | −1.22033 | − | 1.82636i | ||||
\(790\) | −661366. | + | 338324.i | −0.0377028 | + | 0.0192870i | ||||
\(791\) | 6.05003e6 | + | 1.46061e7i | 0.343808 | + | 0.830026i | ||||
\(792\) | −5.78039e6 | − | 5.29182e6i | −0.327450 | − | 0.299773i | ||||
\(793\) | 2.13899e6 | − | 1.07534e7i | 0.120788 | − | 0.607245i | ||||
\(794\) | −1.89440e7 | − | 1.05692e7i | −1.06640 | − | 0.594962i | ||||
\(795\) | 872468. | + | 872468.i | 0.0489589 | + | 0.0489589i | ||||
\(796\) | 2.31577e7 | − | 8.62809e6i | 1.29543 | − | 0.482650i | ||||
\(797\) | 399340. | − | 964091.i | 0.0222688 | − | 0.0537616i | −0.912354 | − | 0.409402i | \(-0.865737\pi\) |
0.934623 | + | 0.355641i | \(0.115737\pi\) | |||||||
\(798\) | 9.11597e6 | − | 732203.i | 0.506752 | − | 0.0407028i | ||||
\(799\) | 1.69557e6 | + | 5.75861e6i | 0.0939612 | + | 0.319118i | ||||
\(800\) | 1.53499e7 | − | 6.50331e6i | 0.847970 | − | 0.359260i | ||||
\(801\) | −1.02704e7 | − | 4.25412e6i | −0.565594 | − | 0.234277i | ||||
\(802\) | 1.03094e7 | − | 2.92547e6i | 0.565976 | − | 0.160605i | ||||
\(803\) | −7.09121e6 | + | 7.09121e6i | −0.388089 | + | 0.388089i | ||||
\(804\) | −1.59974e7 | + | 3.49968e7i | −0.872788 | + | 1.90936i | ||||
\(805\) | −2.23355e6 | − | 444281.i | −0.121480 | − | 0.0241640i | ||||
\(806\) | 5.75626e6 | − | 4.55291e6i | 0.312107 | − | 0.246860i | ||||
\(807\) | −9.93536e6 | + | 4.11536e6i | −0.537031 | + | 0.222446i | ||||
\(808\) | −7.48641e6 | + | 5.49460e6i | −0.403408 | + | 0.296079i | ||||
\(809\) | 2.38105e7 | − | 1.59097e7i | 1.27908 | − | 0.854653i | 0.284504 | − | 0.958675i | \(-0.408171\pi\) |
0.994575 | + | 0.104022i | \(0.0331711\pi\) | |||||||
\(810\) | 758134. | − | 6.49496e6i | 0.0406007 | − | 0.347828i | ||||
\(811\) | 9.33993e6 | − | 1.39782e7i | 0.498645 | − | 0.746275i | −0.493718 | − | 0.869622i | \(-0.664363\pi\) |
0.992364 | + | 0.123347i | \(0.0393627\pi\) | |||||||
\(812\) | −1.97591e7 | − | 1.42589e7i | −1.05167 | − | 0.758921i | ||||
\(813\) | 4.39698e6 | + | 2.21051e7i | 0.233307 | + | 1.17291i | ||||
\(814\) | −1.63136e7 | − | 5.27160e6i | −0.862956 | − | 0.278857i | ||||
\(815\) | 820362. | 0.0432625 | ||||||||
\(816\) | 2.38123e7 | − | 426184.i | 1.25192 | − | 0.0224064i | ||||
\(817\) | 2.53335e6 | 0.132782 | ||||||||
\(818\) | 4.29082e6 | + | 1.38654e6i | 0.224211 | + | 0.0724519i | ||||
\(819\) | 1.39938e6 | + | 7.03514e6i | 0.0728995 | + | 0.366491i | ||||
\(820\) | 1.01130e6 | + | 729792.i | 0.0525225 | + | 0.0379022i | ||||
\(821\) | −140574. | + | 210384.i | −0.00727860 | + | 0.0108932i | −0.835091 | − | 0.550112i | \(-0.814585\pi\) |
0.827812 | + | 0.561005i | \(0.189585\pi\) | |||||||
\(822\) | 642218. | − | 5.50191e6i | 0.0331515 | − | 0.284010i | ||||
\(823\) | 1.44626e7 | − | 9.66359e6i | 0.744297 | − | 0.497323i | −0.124667 | − | 0.992199i | \(-0.539786\pi\) |
0.868964 | + | 0.494875i | \(0.164786\pi\) | |||||||
\(824\) | 1.69903e7 | − | 1.24699e7i | 0.871731 | − | 0.639802i | ||||
\(825\) | −1.62838e7 | + | 6.74495e6i | −0.832951 | + | 0.345020i | ||||
\(826\) | −3.45271e7 | + | 2.73092e7i | −1.76080 | + | 1.39270i | ||||
\(827\) | −3.17169e6 | − | 630888.i | −0.161260 | − | 0.0320766i | 0.113800 | − | 0.993504i | \(-0.463698\pi\) |
−0.275060 | + | 0.961427i | \(0.588698\pi\) | |||||||
\(828\) | 1.74545e6 | − | 3.81844e6i | 0.0884770 | − | 0.193557i | ||||
\(829\) | −4.70663e6 | + | 4.70663e6i | −0.237861 | + | 0.237861i | −0.815964 | − | 0.578103i | \(-0.803793\pi\) |
0.578103 | + | 0.815964i | \(0.303793\pi\) | |||||||
\(830\) | −5.25738e6 | + | 1.49187e6i | −0.264895 | + | 0.0751685i | ||||
\(831\) | −3.84549e7 | − | 1.59285e7i | −1.93174 | − | 0.800154i | ||||
\(832\) | −5.17192e6 | − | 9.91270e6i | −0.259026 | − | 0.496459i | ||||
\(833\) | 5.94040e6 | − | 4.79442e6i | 0.296622 | − | 0.239400i | ||||
\(834\) | 7.81242e6 | − | 627501.i | 0.388929 | − | 0.0312392i | ||||
\(835\) | −696443. | + | 1.68136e6i | −0.0345676 | + | 0.0834536i | ||||
\(836\) | 5.11493e6 | − | 1.90572e6i | 0.253118 | − | 0.0943068i | ||||
\(837\) | −5.51149e6 | − | 5.51149e6i | −0.271929 | − | 0.271929i | ||||
\(838\) | 1.40906e7 | + | 7.86136e6i | 0.693138 | + | 0.386712i | ||||
\(839\) | −2.22941e6 | + | 1.12080e7i | −0.109342 | + | 0.549697i | 0.886816 | + | 0.462122i | \(0.152912\pi\) |
−0.996158 | + | 0.0875752i | \(0.972088\pi\) | |||||||
\(840\) | −6.24134e6 | − | 5.71381e6i | −0.305196 | − | 0.279401i | ||||
\(841\) | 1.70937e6 | + | 4.12679e6i | 0.0833387 | + | 0.201197i | ||||
\(842\) | 1.34469e7 | − | 6.87884e6i | 0.653647 | − | 0.334376i | ||||
\(843\) | −257019. | − | 384657.i | −0.0124565 | − | 0.0186425i | ||||
\(844\) | −8.09789e6 | − | 292069.i | −0.391305 | − | 0.0141133i | ||||
\(845\) | 3.33104e6 | + | 2.22573e6i | 0.160486 | + | 0.107234i | ||||
\(846\) | 2.99414e6 | + | 2.54891e6i | 0.143829 | + | 0.122442i | ||||
\(847\) | 9.35438e6 | − | 1.86070e6i | 0.448029 | − | 0.0891186i | ||||
\(848\) | 296672. | − | 4.10740e6i | 0.0141673 | − | 0.196145i | ||||
\(849\) | − | 4.95722e7i | − | 2.36031i | ||||||
\(850\) | 7.89061e6 | − | 1.77216e7i | 0.374596 | − | 0.841308i | ||||
\(851\) | − | 9.18469e6i | − | 0.434751i | ||||||
\(852\) | 4.51089e7 | + | 1.06763e7i | 2.12894 | + | 0.503872i | ||||
\(853\) | −8.59976e6 | + | 1.71060e6i | −0.404682 | + | 0.0804962i | −0.393234 | − | 0.919438i | \(-0.628644\pi\) |
−0.0114475 | + | 0.999934i | \(0.503644\pi\) | |||||||
\(854\) | −1.79523e7 | + | 2.10880e7i | −0.842316 | + | 0.989444i | ||||
\(855\) | −980337. | − | 655040.i | −0.0458627 | − | 0.0306445i | ||||
\(856\) | 1.59366e6 | + | 3.61164e7i | 0.0743382 | + | 1.68469i | ||||
\(857\) | 3.22406e6 | + | 4.82515e6i | 0.149952 | + | 0.224418i | 0.898839 | − | 0.438279i | \(-0.144412\pi\) |
−0.748888 | + | 0.662697i | \(0.769412\pi\) | |||||||
\(858\) | 5.38361e6 | + | 1.05240e7i | 0.249664 | + | 0.488050i | ||||
\(859\) | 9.64167e6 | + | 2.32770e7i | 0.445830 | + | 1.07633i | 0.973869 | + | 0.227109i | \(0.0729274\pi\) |
−0.528039 | + | 0.849220i | \(0.677073\pi\) | |||||||
\(860\) | −1.59664e6 | − | 1.71613e6i | −0.0736142 | − | 0.0791231i | ||||
\(861\) | −1.43846e6 | + | 7.23162e6i | −0.0661286 | + | 0.332451i | ||||
\(862\) | −3.73398e6 | + | 6.69274e6i | −0.171161 | + | 0.306786i | ||||
\(863\) | 6.54452e6 | + | 6.54452e6i | 0.299124 | + | 0.299124i | 0.840671 | − | 0.541547i | \(-0.182161\pi\) |
−0.541547 | + | 0.840671i | \(0.682161\pi\) | |||||||
\(864\) | −9.81976e6 | + | 6.67625e6i | −0.447524 | + | 0.304262i | ||||
\(865\) | 2.78284e6 | − | 6.71838e6i | 0.126459 | − | 0.305298i | ||||
\(866\) | −278098. | − | 3.46234e6i | −0.0126010 | − | 0.156883i | ||||
\(867\) | 1.99143e7 | − | 1.92735e7i | 0.899741 | − | 0.870788i | ||||
\(868\) | −1.83006e7 | + | 2.95894e6i | −0.824454 | + | 0.133302i | ||||
\(869\) | −2.42187e6 | − | 1.00317e6i | −0.108793 | − | 0.0450636i | ||||
\(870\) | 2.36791e6 | + | 8.34456e6i | 0.106064 | + | 0.373771i | ||||
\(871\) | 1.48642e7 | − | 1.48642e7i | 0.663890 | − | 0.663890i | ||||
\(872\) | −1.94265e6 | + | 5.34511e6i | −0.0865175 | + | 0.238049i | ||||
\(873\) | 2.35864e7 | + | 4.69162e6i | 1.04743 | + | 0.208347i | ||||
\(874\) | 1.81408e6 | + | 2.29354e6i | 0.0803299 | + | 0.101561i | ||||
\(875\) | −1.32821e7 | + | 5.50162e6i | −0.586470 | + | 0.242924i | ||||
\(876\) | −1.04853e7 | − | 1.69875e7i | −0.461659 | − | 0.747945i | ||||
\(877\) | −1.83536e7 | + | 1.22635e7i | −0.805792 | + | 0.538413i | −0.888886 | − | 0.458129i | \(-0.848520\pi\) |
0.0830940 | + | 0.996542i | \(0.473520\pi\) | |||||||
\(878\) | −5.73285e6 | − | 669175.i | −0.250977 | − | 0.0292957i | ||||
\(879\) | −1.97610e6 | + | 2.95744e6i | −0.0862652 | + | 0.129105i | ||||
\(880\) | −4.51464e6 | − | 2.26384e6i | −0.196524 | − | 0.0985460i | ||||
\(881\) | 6.36103e6 | + | 3.19791e7i | 0.276114 | + | 1.38812i | 0.831038 | + | 0.556216i | \(0.187747\pi\) |
−0.554924 | + | 0.831901i | \(0.687253\pi\) | |||||||
\(882\) | 1.53753e6 | − | 4.75808e6i | 0.0665508 | − | 0.205949i | ||||
\(883\) | −3.14821e7 | −1.35882 | −0.679410 | − | 0.733759i | \(-0.737764\pi\) | ||||
−0.679410 | + | 0.733759i | \(0.737764\pi\) | |||||||
\(884\) | −1.22712e7 | − | 4.32353e6i | −0.528147 | − | 0.186084i | ||||
\(885\) | 1.56707e7 | 0.672560 | ||||||||
\(886\) | −4.07432e6 | + | 1.26085e7i | −0.174369 | + | 0.539607i | ||||
\(887\) | 3.08698e6 | + | 1.55193e7i | 0.131742 | + | 0.662312i | 0.989059 | + | 0.147523i | \(0.0471300\pi\) |
−0.857317 | + | 0.514790i | \(0.827870\pi\) | |||||||
\(888\) | 1.76909e7 | − | 2.91842e7i | 0.752866 | − | 1.24198i | ||||
\(889\) | 1.16125e7 | − | 1.73793e7i | 0.492799 | − | 0.737525i | ||||
\(890\) | −7.11572e6 | − | 830593.i | −0.301123 | − | 0.0351490i | ||||
\(891\) | 1.91858e7 | − | 1.28195e7i | 0.809628 | − | 0.540976i | ||||
\(892\) | −3.16405e7 | + | 1.95297e7i | −1.33147 | + | 0.821831i | ||||
\(893\) | −2.53029e6 | + | 1.04808e6i | −0.106180 | + | 0.0439810i | ||||
\(894\) | −2.23891e7 | − | 2.83066e7i | −0.936898 | − | 1.18452i | ||||
\(895\) | 9.29757e6 | + | 1.84940e6i | 0.387982 | + | 0.0771745i | ||||
\(896\) | −790849. | + | 2.82309e7i | −0.0329097 | + | 1.17477i | ||||
\(897\) | −4.47807e6 | + | 4.47807e6i | −0.185828 | + | 0.185828i | ||||
\(898\) | −343488. | − | 1.21046e6i | −0.0142141 | − | 0.0500908i | ||||
\(899\) | 1.75567e7 | + | 7.27223e6i | 0.724509 | + | 0.300102i | ||||
\(900\) | −2.02815e6 | − | 1.25439e7i | −0.0834631 | − | 0.516208i | ||||
\(901\) | −3.00964e6 | − | 3.72902e6i | −0.123510 | − | 0.153032i | ||||
\(902\) | 352339. | + | 4.38664e6i | 0.0144193 | + | 0.179521i | ||||
\(903\) | 5.30334e6 | − | 1.28034e7i | 0.216436 | − | 0.522523i | ||||
\(904\) | −1.70198e7 | + | 7.94608e6i | −0.692681 | + | 0.323394i | ||||
\(905\) | 6.04591e6 | + | 6.04591e6i | 0.245381 | + | 0.245381i | ||||
\(906\) | −2.04008e7 | + | 3.65661e7i | −0.825708 | + | 1.47999i | ||||
\(907\) | 481568. | − | 2.42101e6i | 0.0194375 | − | 0.0977187i | −0.969849 | − | 0.243707i | \(-0.921636\pi\) |
0.989286 | + | 0.145989i | \(0.0466363\pi\) | |||||||
\(908\) | −2.95365e7 | + | 2.74800e7i | −1.18890 | + | 1.10612i | ||||
\(909\) | 2.70874e6 | + | 6.53947e6i | 0.108732 | + | 0.262502i | ||||
\(910\) | 2.10524e6 | + | 4.11538e6i | 0.0842748 | + | 0.164743i | ||||
\(911\) | 4.93757e6 | + | 7.38959e6i | 0.197114 | + | 0.295002i | 0.916839 | − | 0.399258i | \(-0.130732\pi\) |
−0.719725 | + | 0.694259i | \(0.755732\pi\) | |||||||
\(912\) | 1.34654e6 | + | 1.07819e7i | 0.0536083 | + | 0.429246i | ||||
\(913\) | −1.60343e7 | − | 1.07138e7i | −0.636611 | − | 0.425370i | ||||
\(914\) | 2.62990e7 | − | 3.08927e7i | 1.04129 | − | 1.22318i | ||||
\(915\) | 9.66921e6 | − | 1.92333e6i | 0.381802 | − | 0.0759452i | ||||
\(916\) | 6.56782e6 | − | 2.77500e7i | 0.258632 | − | 1.09276i | ||||
\(917\) | 3.30058e7i | 1.29618i | ||||||||
\(918\) | −3.04979e6 | + | 1.34768e7i | −0.119444 | + | 0.527813i | ||||
\(919\) | 4.71589e7i | 1.84194i | 0.389637 | + | 0.920969i | \(0.372601\pi\) | ||||
−0.389637 | + | 0.920969i | \(0.627399\pi\) | |||||||
\(920\) | 410357. | − | 2.67438e6i | 0.0159843 | − | 0.104173i | ||||
\(921\) | 1.40218e7 | − | 2.78912e6i | 0.544698 | − | 0.108347i | ||||
\(922\) | 2.87097e7 | + | 2.44406e7i | 1.11225 | + | 0.946859i | ||||
\(923\) | −2.10556e7 | − | 1.40689e7i | −0.813511 | − | 0.543571i | ||||
\(924\) | 1.07625e6 | − | 2.98399e7i | 0.0414698 | − | 1.14979i | ||||
\(925\) | −1.54436e7 | − | 2.31130e7i | −0.593464 | − | 0.888181i | ||||
\(926\) | 2.94426e7 | − | 1.50615e7i | 1.12836 | − | 0.577218i | ||||
\(927\) | −6.14744e6 | − | 1.48412e7i | −0.234961 | − | 0.567245i | ||||
\(928\) | 1.58898e7 | − | 2.41999e7i | 0.605686 | − | 0.922453i | ||||
\(929\) | −7.70269e6 | + | 3.87240e7i | −0.292821 | + | 1.47211i | 0.501787 | + | 0.864991i | \(0.332676\pi\) |
−0.794609 | + | 0.607122i | \(0.792324\pi\) | |||||||
\(930\) | 5.76296e6 | + | 3.21524e6i | 0.218493 | + | 0.121901i | ||||
\(931\) | 2.46268e6 | + | 2.46268e6i | 0.0931180 | + | 0.0931180i | ||||
\(932\) | −1.47350e7 | − | 3.95486e7i | −0.555662 | − | 1.49139i | ||||
\(933\) | −1.08762e7 | + | 2.62576e7i | −0.409049 | + | 0.987531i | ||||
\(934\) | 4.56379e7 | − | 3.66568e6i | 1.71182 | − | 0.137495i | ||||
\(935\) | −5.63764e6 | + | 1.65995e6i | −0.210896 | + | 0.0620964i | ||||
\(936\) | −8.27707e6 | + | 2.02946e6i | −0.308807 | + | 0.0757164i | ||||
\(937\) | 1.07340e6 | + | 444619.i | 0.0399406 | + | 0.0165439i | 0.402564 | − | 0.915392i | \(-0.368119\pi\) |
−0.362624 | + | 0.931936i | \(0.618119\pi\) | |||||||
\(938\) | −5.10812e7 | + | 1.44952e7i | −1.89563 | + | 0.537918i | ||||
\(939\) | 2.05679e7 | − | 2.05679e7i | 0.761247 | − | 0.761247i | ||||
\(940\) | 2.30469e6 | + | 1.05350e6i | 0.0850733 | + | 0.0388879i | ||||
\(941\) | 1.82446e7 | + | 3.62907e6i | 0.671676 | + | 0.133605i | 0.519135 | − | 0.854692i | \(-0.326254\pi\) |
0.152541 | + | 0.988297i | \(0.451254\pi\) | |||||||
\(942\) | 3.19268e6 | − | 2.52524e6i | 0.117227 | − | 0.0927206i | ||||
\(943\) | −2.17817e6 | + | 902228.i | −0.0797650 | + | 0.0330398i | ||||
\(944\) | −3.42230e7 | − | 3.95516e7i | −1.24994 | − | 1.44456i | ||||
\(945\) | 4.08196e6 | − | 2.72748e6i | 0.148693 | − | 0.0993533i | ||||
\(946\) | 958975. | − | 8.21558e6i | 0.0348401 | − | 0.298477i | ||||
\(947\) | 1.93303e7 | − | 2.89299e7i | 0.700429 | − | 1.04827i | −0.295251 | − | 0.955420i | \(-0.595403\pi\) |
0.995680 | − | 0.0928466i | \(-0.0295966\pi\) | |||||||
\(948\) | 3.05360e6 | − | 4.23149e6i | 0.110355 | − | 0.152923i | ||||
\(949\) | 2.12757e6 | + | 1.06960e7i | 0.0766862 | + | 0.385528i | ||||
\(950\) | 8.42154e6 | + | 2.72135e6i | 0.302749 | + | 0.0978308i | ||||
\(951\) | −4.63985e7 | −1.66361 | ||||||||
\(952\) | 2.17475e7 | + | 2.46389e7i | 0.777707 | + | 0.881107i | ||||
\(953\) | 4.44651e7 | 1.58594 | 0.792971 | − | 0.609259i | \(-0.208533\pi\) | ||||
0.792971 | + | 0.609259i | \(0.208533\pi\) | |||||||
\(954\) | −2.98683e6 | − | 965170.i | −0.106253 | − | 0.0343347i | ||||
\(955\) | −1.18966e6 | − | 5.98082e6i | −0.0422099 | − | 0.212203i | ||||
\(956\) | 1.01983e7 | − | 1.41322e7i | 0.360897 | − | 0.500108i | ||||
\(957\) | −1.70050e7 | + | 2.54498e7i | −0.600203 | + | 0.898267i | ||||
\(958\) | 3.18331e6 | − | 2.72716e7i | 0.112064 | − | 0.960056i | ||||
\(959\) | 6.35542e6 | − | 4.24655e6i | 0.223150 | − | 0.149104i | ||||
\(960\) | 6.45512e6 | − | 7.70742e6i | 0.226061 | − | 0.269917i | ||||
\(961\) | −1.30927e7 | + | 5.42318e6i | −0.457321 | + | 0.189429i | ||||
\(962\) | −1.46225e7 | + | 1.15656e7i | −0.509429 | + | 0.402933i | ||||
\(963\) | 2.70260e7 | + | 5.37580e6i | 0.939108 | + | 0.186800i | ||||
\(964\) | 9.27735e6 | + | 4.24077e6i | 0.321537 | + | 0.146978i | ||||
\(965\) | −6.60134e6 | + | 6.60134e6i | −0.228199 | + | 0.228199i | ||||
\(966\) | 1.53890e7 | − | 4.36690e6i | 0.530601 | − | 0.150567i | ||||
\(967\) | 3.99160e7 | + | 1.65338e7i | 1.37272 | + | 0.568598i | 0.942524 | − | 0.334139i | \(-0.108446\pi\) |
0.430193 | + | 0.902737i | \(0.358446\pi\) | |||||||
\(968\) | 2.69850e6 | + | 1.10057e7i | 0.0925622 | + | 0.377512i | ||||
\(969\) | 9.70786e6 | + | 8.10076e6i | 0.332135 | + | 0.277151i | ||||
\(970\) | 1.54482e7 | − | 1.24082e6i | 0.527168 | − | 0.0423426i | ||||
\(971\) | −1.46977e7 | + | 3.54833e7i | −0.500265 | + | 1.20775i | 0.449074 | + | 0.893494i | \(0.351754\pi\) |
−0.949339 | + | 0.314252i | \(0.898246\pi\) | |||||||
\(972\) | 1.04714e7 | + | 2.81052e7i | 0.355501 | + | 0.954159i | ||||
\(973\) | 7.64738e6 | + | 7.64738e6i | 0.258959 | + | 0.258959i | ||||
\(974\) | 9.46369e6 | + | 5.27994e6i | 0.319642 | + | 0.178333i | ||||
\(975\) | −3.73927e6 | + | 1.87986e7i | −0.125972 | + | 0.633306i | ||||
\(976\) | −2.59707e7 | − | 2.02040e7i | −0.872688 | − | 0.678910i | ||||
\(977\) | 1.90807e6 | + | 4.60648e6i | 0.0639524 | + | 0.154395i | 0.952625 | − | 0.304148i | \(-0.0983717\pi\) |
−0.888672 | + | 0.458543i | \(0.848372\pi\) | |||||||
\(978\) | −5.13022e6 | + | 2.62438e6i | −0.171510 | + | 0.0877365i | ||||
\(979\) | −1.40448e7 | − | 2.10195e7i | −0.468337 | − | 0.700915i | ||||
\(980\) | 116150. | − | 3.22035e6i | 0.00386325 | − | 0.107112i | ||||
\(981\) | 3.60433e6 | + | 2.40834e6i | 0.119578 | + | 0.0798997i | ||||
\(982\) | 5.66938e6 | + | 4.82635e6i | 0.187610 | + | 0.159713i | ||||
\(983\) | −1.92089e7 | + | 3.82088e6i | −0.634041 | + | 0.126119i | −0.501639 | − | 0.865077i | \(-0.667269\pi\) |
−0.132403 | + | 0.991196i | \(0.542269\pi\) | |||||||
\(984\) | −8.65891e6 | − | 1.32862e6i | −0.285086 | − | 0.0437435i | ||||
\(985\) | − | 5.06998e6i | − | 0.166501i | ||||||
\(986\) | −5.70434e6 | − | 3.32016e7i | −0.186859 | − | 1.08759i | ||||
\(987\) | 1.49819e7i | 0.489526i | ||||||||
\(988\) | 1.36710e6 | − | 5.77620e6i | 0.0445561 | − | 0.188257i | ||||
\(989\) | 4.34609e6 | − | 864491.i | 0.141289 | − | 0.0281041i | ||||
\(990\) | −2.49537e6 | + | 2.93124e6i | −0.0809183 | + | 0.0950525i | ||||
\(991\) | −3.53253e7 | − | 2.36036e7i | −1.14262 | − | 0.763474i | −0.167657 | − | 0.985845i | \(-0.553620\pi\) |
−0.974962 | + | 0.222372i | \(0.928620\pi\) | |||||||
\(992\) | −4.47061e6 | − | 2.15669e7i | −0.144241 | − | 0.695840i | ||||
\(993\) | −5.31684e6 | − | 7.95721e6i | −0.171112 | − | 0.256087i | ||||
\(994\) | 2.91312e7 | + | 5.69465e7i | 0.935175 | + | 1.82811i | ||||
\(995\) | −4.64547e6 | − | 1.12152e7i | −0.148755 | − | 0.359127i | ||||
\(996\) | 2.81050e7 | − | 2.61482e7i | 0.897707 | − | 0.835206i | ||||
\(997\) | −4.13551e6 | + | 2.07906e7i | −0.131762 | + | 0.662415i | 0.857288 | + | 0.514837i | \(0.172148\pi\) |
−0.989050 | + | 0.147577i | \(0.952852\pi\) | |||||||
\(998\) | −2.24240e7 | + | 4.01925e7i | −0.712667 | + | 1.27738i | ||||
\(999\) | 1.40007e7 | + | 1.40007e7i | 0.443850 | + | 0.443850i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 68.6.i.b.23.4 | yes | 336 | |
4.3 | odd | 2 | inner | 68.6.i.b.23.8 | yes | 336 | |
17.3 | odd | 16 | inner | 68.6.i.b.3.8 | yes | 336 | |
68.3 | even | 16 | inner | 68.6.i.b.3.4 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
68.6.i.b.3.4 | ✓ | 336 | 68.3 | even | 16 | inner | |
68.6.i.b.3.8 | yes | 336 | 17.3 | odd | 16 | inner | |
68.6.i.b.23.4 | yes | 336 | 1.1 | even | 1 | trivial | |
68.6.i.b.23.8 | yes | 336 | 4.3 | odd | 2 | inner |