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 | 34.11 | ||
Character | \(\chi\) | \(=\) | 165.34 |
Dual form | 165.6.c.b.34.16 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 3.33747i | − | 0.589987i | −0.955499 | − | 0.294994i | \(-0.904682\pi\) | ||
0.955499 | − | 0.294994i | \(-0.0953176\pi\) | |||||||
\(3\) | − | 9.00000i | − | 0.577350i | ||||||
\(4\) | 20.8613 | 0.651915 | ||||||||
\(5\) | 21.4823 | + | 51.6092i | 0.384288 | + | 0.923213i | ||||
\(6\) | −30.0373 | −0.340629 | ||||||||
\(7\) | 103.473i | 0.798146i | 0.916919 | + | 0.399073i | \(0.130668\pi\) | ||||
−0.916919 | + | 0.399073i | \(0.869332\pi\) | |||||||
\(8\) | − | 176.423i | − | 0.974609i | ||||||
\(9\) | −81.0000 | −0.333333 | ||||||||
\(10\) | 172.244 | − | 71.6967i | 0.544684 | − | 0.226725i | ||||
\(11\) | 121.000 | 0.301511 | ||||||||
\(12\) | − | 187.751i | − | 0.376383i | ||||||
\(13\) | 357.925i | 0.587400i | 0.955898 | + | 0.293700i | \(0.0948867\pi\) | ||||
−0.955898 | + | 0.293700i | \(0.905113\pi\) | |||||||
\(14\) | 345.339 | 0.470896 | ||||||||
\(15\) | 464.483 | − | 193.341i | 0.533017 | − | 0.221869i | ||||
\(16\) | 78.7535 | 0.0769078 | ||||||||
\(17\) | 2067.63i | 1.73521i | 0.497258 | + | 0.867603i | \(0.334340\pi\) | ||||
−0.497258 | + | 0.867603i | \(0.665660\pi\) | |||||||
\(18\) | 270.335i | 0.196662i | ||||||||
\(19\) | −1320.17 | −0.838967 | −0.419484 | − | 0.907763i | \(-0.637789\pi\) | ||||
−0.419484 | + | 0.907763i | \(0.637789\pi\) | |||||||
\(20\) | 448.149 | + | 1076.63i | 0.250523 | + | 0.601856i | ||||
\(21\) | 931.258 | 0.460810 | ||||||||
\(22\) | − | 403.834i | − | 0.177888i | ||||||
\(23\) | 2498.44i | 0.984802i | 0.870369 | + | 0.492401i | \(0.163881\pi\) | ||||
−0.870369 | + | 0.492401i | \(0.836119\pi\) | |||||||
\(24\) | −1587.81 | −0.562691 | ||||||||
\(25\) | −2202.02 | + | 2217.37i | −0.704646 | + | 0.709559i | ||||
\(26\) | 1194.57 | 0.346559 | ||||||||
\(27\) | 729.000i | 0.192450i | ||||||||
\(28\) | 2158.58i | 0.520323i | ||||||||
\(29\) | −1657.60 | −0.366003 | −0.183002 | − | 0.983113i | \(-0.558581\pi\) | ||||
−0.183002 | + | 0.983113i | \(0.558581\pi\) | |||||||
\(30\) | −645.271 | − | 1550.20i | −0.130900 | − | 0.314474i | ||||
\(31\) | 4690.57 | 0.876640 | 0.438320 | − | 0.898819i | \(-0.355574\pi\) | ||||
0.438320 | + | 0.898819i | \(0.355574\pi\) | |||||||
\(32\) | − | 5908.38i | − | 1.01998i | ||||||
\(33\) | − | 1089.00i | − | 0.174078i | ||||||
\(34\) | 6900.67 | 1.02375 | ||||||||
\(35\) | −5340.16 | + | 2222.84i | −0.736859 | + | 0.306718i | ||||
\(36\) | −1689.76 | −0.217305 | ||||||||
\(37\) | 5214.75i | 0.626223i | 0.949716 | + | 0.313112i | \(0.101371\pi\) | ||||
−0.949716 | + | 0.313112i | \(0.898629\pi\) | |||||||
\(38\) | 4406.02i | 0.494980i | ||||||||
\(39\) | 3221.33 | 0.339136 | ||||||||
\(40\) | 9105.05 | − | 3789.98i | 0.899772 | − | 0.374530i | ||||
\(41\) | 13577.0 | 1.26138 | 0.630688 | − | 0.776037i | \(-0.282773\pi\) | ||||
0.630688 | + | 0.776037i | \(0.282773\pi\) | |||||||
\(42\) | − | 3108.05i | − | 0.271872i | ||||||
\(43\) | − | 10764.0i | − | 0.887774i | −0.896083 | − | 0.443887i | \(-0.853599\pi\) | ||
0.896083 | − | 0.443887i | \(-0.146401\pi\) | |||||||
\(44\) | 2524.21 | 0.196560 | ||||||||
\(45\) | −1740.07 | − | 4180.34i | −0.128096 | − | 0.307738i | ||||
\(46\) | 8338.46 | 0.581021 | ||||||||
\(47\) | − | 2926.95i | − | 0.193273i | −0.995320 | − | 0.0966363i | \(-0.969192\pi\) | ||
0.995320 | − | 0.0966363i | \(-0.0308084\pi\) | |||||||
\(48\) | − | 708.782i | − | 0.0444027i | ||||||
\(49\) | 6100.32 | 0.362963 | ||||||||
\(50\) | 7400.42 | + | 7349.18i | 0.418631 | + | 0.415732i | ||||
\(51\) | 18608.7 | 1.00182 | ||||||||
\(52\) | 7466.78i | 0.382935i | ||||||||
\(53\) | 21529.9i | 1.05282i | 0.850232 | + | 0.526408i | \(0.176462\pi\) | ||||
−0.850232 | + | 0.526408i | \(0.823538\pi\) | |||||||
\(54\) | 2433.02 | 0.113543 | ||||||||
\(55\) | 2599.36 | + | 6244.71i | 0.115867 | + | 0.278359i | ||||
\(56\) | 18255.0 | 0.777880 | ||||||||
\(57\) | 11881.5i | 0.484378i | ||||||||
\(58\) | 5532.19i | 0.215937i | ||||||||
\(59\) | 4541.09 | 0.169836 | 0.0849181 | − | 0.996388i | \(-0.472937\pi\) | ||||
0.0849181 | + | 0.996388i | \(0.472937\pi\) | |||||||
\(60\) | 9689.70 | − | 4033.34i | 0.347482 | − | 0.144639i | ||||
\(61\) | 3649.55 | 0.125578 | 0.0627892 | − | 0.998027i | \(-0.480000\pi\) | ||||
0.0627892 | + | 0.998027i | \(0.480000\pi\) | |||||||
\(62\) | − | 15654.6i | − | 0.517207i | ||||||
\(63\) | − | 8381.32i | − | 0.266049i | ||||||
\(64\) | −17198.9 | −0.524870 | ||||||||
\(65\) | −18472.2 | + | 7689.07i | −0.542296 | + | 0.225731i | ||||
\(66\) | −3634.51 | −0.102704 | ||||||||
\(67\) | − | 55473.7i | − | 1.50973i | −0.655878 | − | 0.754867i | \(-0.727701\pi\) | ||
0.655878 | − | 0.754867i | \(-0.272299\pi\) | |||||||
\(68\) | 43133.4i | 1.13121i | ||||||||
\(69\) | 22485.9 | 0.568575 | ||||||||
\(70\) | 7418.68 | + | 17822.6i | 0.180960 | + | 0.434738i | ||||
\(71\) | 4491.83 | 0.105749 | 0.0528746 | − | 0.998601i | \(-0.483162\pi\) | ||||
0.0528746 | + | 0.998601i | \(0.483162\pi\) | |||||||
\(72\) | 14290.3i | 0.324870i | ||||||||
\(73\) | − | 33559.8i | − | 0.737076i | −0.929613 | − | 0.368538i | \(-0.879859\pi\) | ||
0.929613 | − | 0.368538i | \(-0.120141\pi\) | |||||||
\(74\) | 17404.1 | 0.369464 | ||||||||
\(75\) | 19956.4 | + | 19818.2i | 0.409664 | + | 0.406827i | ||||
\(76\) | −27540.4 | −0.546935 | ||||||||
\(77\) | 12520.2i | 0.240650i | ||||||||
\(78\) | − | 10751.1i | − | 0.200086i | ||||||
\(79\) | 7912.05 | 0.142634 | 0.0713168 | − | 0.997454i | \(-0.477280\pi\) | ||||
0.0713168 | + | 0.997454i | \(0.477280\pi\) | |||||||
\(80\) | 1691.81 | + | 4064.41i | 0.0295547 | + | 0.0710023i | ||||
\(81\) | 6561.00 | 0.111111 | ||||||||
\(82\) | − | 45312.9i | − | 0.744196i | ||||||
\(83\) | 20569.6i | 0.327741i | 0.986482 | + | 0.163870i | \(0.0523978\pi\) | ||||
−0.986482 | + | 0.163870i | \(0.947602\pi\) | |||||||
\(84\) | 19427.2 | 0.300409 | ||||||||
\(85\) | −106709. | + | 44417.6i | −1.60197 | + | 0.666818i | ||||
\(86\) | −35924.5 | −0.523775 | ||||||||
\(87\) | 14918.4i | 0.211312i | ||||||||
\(88\) | − | 21347.2i | − | 0.293856i | ||||||
\(89\) | 111119. | 1.48701 | 0.743504 | − | 0.668732i | \(-0.233163\pi\) | ||||
0.743504 | + | 0.668732i | \(0.233163\pi\) | |||||||
\(90\) | −13951.8 | + | 5807.43i | −0.181561 | + | 0.0755750i | ||||
\(91\) | −37035.6 | −0.468831 | ||||||||
\(92\) | 52120.6i | 0.642007i | ||||||||
\(93\) | − | 42215.1i | − | 0.506128i | ||||||
\(94\) | −9768.61 | −0.114028 | ||||||||
\(95\) | −28360.3 | − | 68132.8i | −0.322405 | − | 0.774546i | ||||
\(96\) | −53175.4 | −0.588888 | ||||||||
\(97\) | − | 58271.1i | − | 0.628816i | −0.949288 | − | 0.314408i | \(-0.898194\pi\) | ||
0.949288 | − | 0.314408i | \(-0.101806\pi\) | |||||||
\(98\) | − | 20359.7i | − | 0.214144i | ||||||
\(99\) | −9801.00 | −0.100504 | ||||||||
\(100\) | −45936.9 | + | 46257.2i | −0.459369 | + | 0.462572i | ||||
\(101\) | −56503.6 | −0.551153 | −0.275577 | − | 0.961279i | \(-0.588869\pi\) | ||||
−0.275577 | + | 0.961279i | \(0.588869\pi\) | |||||||
\(102\) | − | 62106.0i | − | 0.591062i | ||||||
\(103\) | − | 95588.6i | − | 0.887796i | −0.896077 | − | 0.443898i | \(-0.853595\pi\) | ||
0.896077 | − | 0.443898i | \(-0.146405\pi\) | |||||||
\(104\) | 63146.3 | 0.572486 | ||||||||
\(105\) | 20005.6 | + | 48061.5i | 0.177084 | + | 0.425426i | ||||
\(106\) | 71855.5 | 0.621148 | ||||||||
\(107\) | 211645.i | 1.78710i | 0.448964 | + | 0.893550i | \(0.351793\pi\) | ||||
−0.448964 | + | 0.893550i | \(0.648207\pi\) | |||||||
\(108\) | 15207.9i | 0.125461i | ||||||||
\(109\) | −370.739 | −0.00298884 | −0.00149442 | − | 0.999999i | \(-0.500476\pi\) | ||||
−0.00149442 | + | 0.999999i | \(0.500476\pi\) | |||||||
\(110\) | 20841.6 | − | 8675.30i | 0.164228 | − | 0.0683601i | ||||
\(111\) | 46932.8 | 0.361550 | ||||||||
\(112\) | 8148.87i | 0.0613836i | ||||||||
\(113\) | 14124.9i | 0.104061i | 0.998645 | + | 0.0520307i | \(0.0165694\pi\) | ||||
−0.998645 | + | 0.0520307i | \(0.983431\pi\) | |||||||
\(114\) | 39654.2 | 0.285777 | ||||||||
\(115\) | −128942. | + | 53672.3i | −0.909182 | + | 0.378447i | ||||
\(116\) | −34579.6 | −0.238603 | ||||||||
\(117\) | − | 28992.0i | − | 0.195800i | ||||||
\(118\) | − | 15155.8i | − | 0.100201i | ||||||
\(119\) | −213944. | −1.38495 | ||||||||
\(120\) | −34109.8 | − | 81945.5i | −0.216235 | − | 0.519484i | ||||
\(121\) | 14641.0 | 0.0909091 | ||||||||
\(122\) | − | 12180.3i | − | 0.0740897i | ||||||
\(123\) | − | 122193.i | − | 0.728255i | ||||||
\(124\) | 97851.3 | 0.571495 | ||||||||
\(125\) | −161741. | − | 66010.0i | −0.925861 | − | 0.377864i | ||||
\(126\) | −27972.4 | −0.156965 | ||||||||
\(127\) | 39049.1i | 0.214834i | 0.994214 | + | 0.107417i | \(0.0342579\pi\) | ||||
−0.994214 | + | 0.107417i | \(0.965742\pi\) | |||||||
\(128\) | − | 131667.i | − | 0.710317i | ||||||
\(129\) | −96876.0 | −0.512556 | ||||||||
\(130\) | 25662.1 | + | 61650.6i | 0.133178 | + | 0.319948i | ||||
\(131\) | −152838. | −0.778131 | −0.389066 | − | 0.921210i | \(-0.627202\pi\) | ||||
−0.389066 | + | 0.921210i | \(0.627202\pi\) | |||||||
\(132\) | − | 22717.9i | − | 0.113484i | ||||||
\(133\) | − | 136602.i | − | 0.669618i | ||||||
\(134\) | −185142. | −0.890724 | ||||||||
\(135\) | −37623.1 | + | 15660.6i | −0.177672 | + | 0.0739562i | ||||
\(136\) | 364778. | 1.69115 | ||||||||
\(137\) | 323866.i | 1.47422i | 0.675771 | + | 0.737112i | \(0.263811\pi\) | ||||
−0.675771 | + | 0.737112i | \(0.736189\pi\) | |||||||
\(138\) | − | 75046.2i | − | 0.335452i | ||||||
\(139\) | −195925. | −0.860108 | −0.430054 | − | 0.902803i | \(-0.641506\pi\) | ||||
−0.430054 | + | 0.902803i | \(0.641506\pi\) | |||||||
\(140\) | −111403. | + | 46371.4i | −0.480369 | + | 0.199954i | ||||
\(141\) | −26342.5 | −0.111586 | ||||||||
\(142\) | − | 14991.4i | − | 0.0623907i | ||||||
\(143\) | 43309.0i | 0.177108i | ||||||||
\(144\) | −6379.04 | −0.0256359 | ||||||||
\(145\) | −35609.1 | − | 85547.4i | −0.140650 | − | 0.337899i | ||||
\(146\) | −112005. | −0.434865 | ||||||||
\(147\) | − | 54902.9i | − | 0.209557i | ||||||
\(148\) | 108786.i | 0.408244i | ||||||||
\(149\) | −435048. | −1.60536 | −0.802679 | − | 0.596411i | \(-0.796593\pi\) | ||||
−0.802679 | + | 0.596411i | \(0.796593\pi\) | |||||||
\(150\) | 66142.6 | − | 66603.8i | 0.240023 | − | 0.241697i | ||||
\(151\) | −94062.6 | −0.335718 | −0.167859 | − | 0.985811i | \(-0.553685\pi\) | ||||
−0.167859 | + | 0.985811i | \(0.553685\pi\) | |||||||
\(152\) | 232908.i | 0.817665i | ||||||||
\(153\) | − | 167478.i | − | 0.578402i | ||||||
\(154\) | 41786.0 | 0.141981 | ||||||||
\(155\) | 100764. | + | 242077.i | 0.336882 | + | 0.809326i | ||||
\(156\) | 67201.0 | 0.221088 | ||||||||
\(157\) | − | 194996.i | − | 0.631360i | −0.948866 | − | 0.315680i | \(-0.897767\pi\) | ||
0.948866 | − | 0.315680i | \(-0.102233\pi\) | |||||||
\(158\) | − | 26406.3i | − | 0.0841520i | ||||||
\(159\) | 193769. | 0.607844 | ||||||||
\(160\) | 304927. | − | 126926.i | 0.941662 | − | 0.391967i | ||||
\(161\) | −258521. | −0.786015 | ||||||||
\(162\) | − | 21897.2i | − | 0.0655542i | ||||||
\(163\) | − | 154239.i | − | 0.454701i | −0.973813 | − | 0.227350i | \(-0.926994\pi\) | ||
0.973813 | − | 0.227350i | \(-0.0730063\pi\) | |||||||
\(164\) | 283234. | 0.822309 | ||||||||
\(165\) | 56202.4 | − | 23394.3i | 0.160711 | − | 0.0668959i | ||||
\(166\) | 68650.4 | 0.193363 | ||||||||
\(167\) | − | 297517.i | − | 0.825506i | −0.910843 | − | 0.412753i | \(-0.864567\pi\) | ||
0.910843 | − | 0.412753i | \(-0.135433\pi\) | |||||||
\(168\) | − | 164295.i | − | 0.449109i | ||||||
\(169\) | 243182. | 0.654961 | ||||||||
\(170\) | 148242. | + | 356138.i | 0.393414 | + | 0.945139i | ||||
\(171\) | 106934. | 0.279656 | ||||||||
\(172\) | − | 224551.i | − | 0.578753i | ||||||
\(173\) | 49837.8i | 0.126603i | 0.997994 | + | 0.0633014i | \(0.0201629\pi\) | ||||
−0.997994 | + | 0.0633014i | \(0.979837\pi\) | |||||||
\(174\) | 49789.8 | 0.124671 | ||||||||
\(175\) | −229438. | − | 227850.i | −0.566332 | − | 0.562410i | ||||
\(176\) | 9529.18 | 0.0231886 | ||||||||
\(177\) | − | 40869.8i | − | 0.0980550i | ||||||
\(178\) | − | 370856.i | − | 0.877316i | ||||||
\(179\) | 825399. | 1.92545 | 0.962724 | − | 0.270487i | \(-0.0871848\pi\) | ||||
0.962724 | + | 0.270487i | \(0.0871848\pi\) | |||||||
\(180\) | −36300.1 | − | 87207.3i | −0.0835076 | − | 0.200619i | ||||
\(181\) | −631320. | −1.43236 | −0.716182 | − | 0.697914i | \(-0.754112\pi\) | ||||
−0.716182 | + | 0.697914i | \(0.754112\pi\) | |||||||
\(182\) | 123605.i | 0.276604i | ||||||||
\(183\) | − | 32846.0i | − | 0.0725027i | ||||||
\(184\) | 440782. | 0.959797 | ||||||||
\(185\) | −269129. | + | 112025.i | −0.578138 | + | 0.240650i | ||||
\(186\) | −140892. | −0.298609 | ||||||||
\(187\) | 250184.i | 0.523184i | ||||||||
\(188\) | − | 61059.9i | − | 0.125997i | ||||||
\(189\) | −75431.9 | −0.153603 | ||||||||
\(190\) | −227391. | + | 94651.7i | −0.456972 | + | 0.190215i | ||||
\(191\) | 367056. | 0.728030 | 0.364015 | − | 0.931393i | \(-0.381406\pi\) | ||||
0.364015 | + | 0.931393i | \(0.381406\pi\) | |||||||
\(192\) | 154790.i | 0.303034i | ||||||||
\(193\) | − | 239853.i | − | 0.463501i | −0.972775 | − | 0.231751i | \(-0.925555\pi\) | ||
0.972775 | − | 0.231751i | \(-0.0744453\pi\) | |||||||
\(194\) | −194478. | −0.370994 | ||||||||
\(195\) | 69201.7 | + | 166250.i | 0.130326 | + | 0.313095i | ||||
\(196\) | 127260. | 0.236621 | ||||||||
\(197\) | 889966.i | 1.63383i | 0.576755 | + | 0.816917i | \(0.304319\pi\) | ||||
−0.576755 | + | 0.816917i | \(0.695681\pi\) | |||||||
\(198\) | 32710.6i | 0.0592960i | ||||||||
\(199\) | −2447.34 | −0.00438089 | −0.00219045 | − | 0.999998i | \(-0.500697\pi\) | ||||
−0.00219045 | + | 0.999998i | \(0.500697\pi\) | |||||||
\(200\) | 391196. | + | 388487.i | 0.691543 | + | 0.686754i | ||||
\(201\) | −499264. | −0.871645 | ||||||||
\(202\) | 188579.i | 0.325174i | ||||||||
\(203\) | − | 171517.i | − | 0.292124i | ||||||
\(204\) | 388201. | 0.653102 | ||||||||
\(205\) | 291666. | + | 700698.i | 0.484731 | + | 1.16452i | ||||
\(206\) | −319024. | −0.523788 | ||||||||
\(207\) | − | 202373.i | − | 0.328267i | ||||||
\(208\) | 28187.9i | 0.0451756i | ||||||||
\(209\) | −159740. | −0.252958 | ||||||||
\(210\) | 160404. | − | 66768.1i | 0.250996 | − | 0.104477i | ||||
\(211\) | 779165. | 1.20482 | 0.602411 | − | 0.798186i | \(-0.294207\pi\) | ||||
0.602411 | + | 0.798186i | \(0.294207\pi\) | |||||||
\(212\) | 449141.i | 0.686347i | ||||||||
\(213\) | − | 40426.4i | − | 0.0610543i | ||||||
\(214\) | 706360. | 1.05437 | ||||||||
\(215\) | 555521. | − | 231236.i | 0.819605 | − | 0.341161i | ||||
\(216\) | 128612. | 0.187564 | ||||||||
\(217\) | 485348.i | 0.699687i | ||||||||
\(218\) | 1237.33i | 0.00176338i | ||||||||
\(219\) | −302038. | −0.425551 | ||||||||
\(220\) | 54226.0 | + | 130273.i | 0.0755355 | + | 0.181467i | ||||
\(221\) | −740058. | −1.01926 | ||||||||
\(222\) | − | 156637.i | − | 0.213310i | ||||||
\(223\) | − | 1.27044e6i | − | 1.71077i | −0.517990 | − | 0.855387i | \(-0.673320\pi\) | ||
0.517990 | − | 0.855387i | \(-0.326680\pi\) | |||||||
\(224\) | 611358. | 0.814096 | ||||||||
\(225\) | 178363. | − | 179607.i | 0.234882 | − | 0.236520i | ||||
\(226\) | 47141.5 | 0.0613949 | ||||||||
\(227\) | 1755.97i | 0.00226179i | 0.999999 | + | 0.00113089i | \(0.000359974\pi\) | ||||
−0.999999 | + | 0.00113089i | \(0.999640\pi\) | |||||||
\(228\) | 247863.i | 0.315773i | ||||||||
\(229\) | 185101. | 0.233249 | 0.116624 | − | 0.993176i | \(-0.462793\pi\) | ||||
0.116624 | + | 0.993176i | \(0.462793\pi\) | |||||||
\(230\) | 179130. | + | 430341.i | 0.223279 | + | 0.536406i | ||||
\(231\) | 112682. | 0.138939 | ||||||||
\(232\) | 292439.i | 0.356710i | ||||||||
\(233\) | − | 172318.i | − | 0.207941i | −0.994580 | − | 0.103971i | \(-0.966845\pi\) | ||
0.994580 | − | 0.103971i | \(-0.0331548\pi\) | |||||||
\(234\) | −96759.9 | −0.115520 | ||||||||
\(235\) | 151057. | − | 62877.7i | 0.178432 | − | 0.0742723i | ||||
\(236\) | 94733.0 | 0.110719 | ||||||||
\(237\) | − | 71208.5i | − | 0.0823495i | ||||||
\(238\) | 714033.i | 0.817102i | ||||||||
\(239\) | −1.58068e6 | −1.78999 | −0.894994 | − | 0.446078i | \(-0.852820\pi\) | ||||
−0.894994 | + | 0.446078i | \(0.852820\pi\) | |||||||
\(240\) | 36579.7 | − | 15226.3i | 0.0409932 | − | 0.0170634i | ||||
\(241\) | 1.44227e6 | 1.59957 | 0.799785 | − | 0.600287i | \(-0.204947\pi\) | ||||
0.799785 | + | 0.600287i | \(0.204947\pi\) | |||||||
\(242\) | − | 48863.9i | − | 0.0536352i | ||||||
\(243\) | − | 59049.0i | − | 0.0641500i | ||||||
\(244\) | 76134.3 | 0.0818664 | ||||||||
\(245\) | 131049. | + | 314833.i | 0.139482 | + | 0.335092i | ||||
\(246\) | −407816. | −0.429662 | ||||||||
\(247\) | − | 472521.i | − | 0.492810i | ||||||
\(248\) | − | 827525.i | − | 0.854381i | ||||||
\(249\) | 185126. | 0.189221 | ||||||||
\(250\) | −220307. | + | 539807.i | −0.222935 | + | 0.546247i | ||||
\(251\) | 1.18482e6 | 1.18705 | 0.593524 | − | 0.804816i | \(-0.297736\pi\) | ||||
0.593524 | + | 0.804816i | \(0.297736\pi\) | |||||||
\(252\) | − | 174845.i | − | 0.173441i | ||||||
\(253\) | 302311.i | 0.296929i | ||||||||
\(254\) | 130325. | 0.126749 | ||||||||
\(255\) | 399758. | + | 960380.i | 0.384988 | + | 0.924895i | ||||
\(256\) | −989801. | −0.943948 | ||||||||
\(257\) | − | 307999.i | − | 0.290882i | −0.989367 | − | 0.145441i | \(-0.953540\pi\) | ||
0.989367 | − | 0.145441i | \(-0.0464601\pi\) | |||||||
\(258\) | 323321.i | 0.302402i | ||||||||
\(259\) | −539586. | −0.499818 | ||||||||
\(260\) | −385354. | + | 160404.i | −0.353531 | + | 0.147157i | ||||
\(261\) | 134266. | 0.122001 | ||||||||
\(262\) | 510093.i | 0.459088i | ||||||||
\(263\) | − | 1.92302e6i | − | 1.71433i | −0.515045 | − | 0.857163i | \(-0.672225\pi\) | ||
0.515045 | − | 0.857163i | \(-0.327775\pi\) | |||||||
\(264\) | −192125. | −0.169658 | ||||||||
\(265\) | −1.11114e6 | + | 462513.i | −0.971974 | + | 0.404584i | ||||
\(266\) | −455905. | −0.395066 | ||||||||
\(267\) | − | 1.00007e6i | − | 0.858524i | ||||||
\(268\) | − | 1.15725e6i | − | 0.984218i | ||||||
\(269\) | 1.14532e6 | 0.965040 | 0.482520 | − | 0.875885i | \(-0.339722\pi\) | ||||
0.482520 | + | 0.875885i | \(0.339722\pi\) | |||||||
\(270\) | 52266.9 | + | 125566.i | 0.0436332 | + | 0.104825i | ||||
\(271\) | −737503. | −0.610015 | −0.305008 | − | 0.952350i | \(-0.598659\pi\) | ||||
−0.305008 | + | 0.952350i | \(0.598659\pi\) | |||||||
\(272\) | 162833.i | 0.133451i | ||||||||
\(273\) | 333321.i | 0.270680i | ||||||||
\(274\) | 1.08089e6 | 0.869774 | ||||||||
\(275\) | −266444. | + | 268302.i | −0.212459 | + | 0.213940i | ||||
\(276\) | 469085. | 0.370663 | ||||||||
\(277\) | 1.91454e6i | 1.49922i | 0.661878 | + | 0.749611i | \(0.269760\pi\) | ||||
−0.661878 | + | 0.749611i | \(0.730240\pi\) | |||||||
\(278\) | 653895.i | 0.507453i | ||||||||
\(279\) | −379936. | −0.292213 | ||||||||
\(280\) | 392161. | + | 942128.i | 0.298930 | + | 0.718149i | ||||
\(281\) | −1.09912e6 | −0.830387 | −0.415193 | − | 0.909733i | \(-0.636286\pi\) | ||||
−0.415193 | + | 0.909733i | \(0.636286\pi\) | |||||||
\(282\) | 87917.5i | 0.0658343i | ||||||||
\(283\) | − | 371541.i | − | 0.275766i | −0.990449 | − | 0.137883i | \(-0.955970\pi\) | ||
0.990449 | − | 0.137883i | \(-0.0440298\pi\) | |||||||
\(284\) | 93705.2 | 0.0689395 | ||||||||
\(285\) | −613195. | + | 255243.i | −0.447184 | + | 0.186141i | ||||
\(286\) | 144543. | 0.104491 | ||||||||
\(287\) | 1.40485e6i | 1.00676i | ||||||||
\(288\) | 478578.i | 0.339995i | ||||||||
\(289\) | −2.85525e6 | −2.01094 | ||||||||
\(290\) | −285512. | + | 118844.i | −0.199356 | + | 0.0829820i | ||||
\(291\) | −524440. | −0.363047 | ||||||||
\(292\) | − | 700100.i | − | 0.480511i | ||||||
\(293\) | − | 2.86231e6i | − | 1.94781i | −0.226948 | − | 0.973907i | \(-0.572875\pi\) | ||
0.226948 | − | 0.973907i | \(-0.427125\pi\) | |||||||
\(294\) | −183237. | −0.123636 | ||||||||
\(295\) | 97553.3 | + | 234362.i | 0.0652660 | + | 0.156795i | ||||
\(296\) | 920003. | 0.610323 | ||||||||
\(297\) | 88209.0i | 0.0580259i | ||||||||
\(298\) | 1.45196e6i | 0.947141i | ||||||||
\(299\) | −894254. | −0.578473 | ||||||||
\(300\) | 416315. | + | 413432.i | 0.267066 | + | 0.265217i | ||||
\(301\) | 1.11378e6 | 0.708573 | ||||||||
\(302\) | 313931.i | 0.198069i | ||||||||
\(303\) | 508532.i | 0.318209i | ||||||||
\(304\) | −103968. | −0.0645231 | ||||||||
\(305\) | 78400.9 | + | 188350.i | 0.0482582 | + | 0.115936i | ||||
\(306\) | −558954. | −0.341250 | ||||||||
\(307\) | − | 2.67276e6i | − | 1.61851i | −0.587460 | − | 0.809253i | \(-0.699872\pi\) | ||
0.587460 | − | 0.809253i | \(-0.300128\pi\) | |||||||
\(308\) | 261188.i | 0.156883i | ||||||||
\(309\) | −860298. | −0.512569 | ||||||||
\(310\) | 807924. | − | 336298.i | 0.477492 | − | 0.198756i | ||||
\(311\) | 1.84386e6 | 1.08100 | 0.540500 | − | 0.841344i | \(-0.318235\pi\) | ||||
0.540500 | + | 0.841344i | \(0.318235\pi\) | |||||||
\(312\) | − | 568317.i | − | 0.330525i | ||||||
\(313\) | − | 1.87741e6i | − | 1.08318i | −0.840644 | − | 0.541588i | \(-0.817823\pi\) | ||
0.840644 | − | 0.541588i | \(-0.182177\pi\) | |||||||
\(314\) | −650794. | −0.372494 | ||||||||
\(315\) | 432553. | − | 180050.i | 0.245620 | − | 0.102239i | ||||
\(316\) | 165056. | 0.0929849 | ||||||||
\(317\) | − | 2.04246e6i | − | 1.14158i | −0.821097 | − | 0.570789i | \(-0.806638\pi\) | ||
0.821097 | − | 0.570789i | \(-0.193362\pi\) | |||||||
\(318\) | − | 646699.i | − | 0.358620i | ||||||
\(319\) | −200570. | −0.110354 | ||||||||
\(320\) | −369473. | − | 887623.i | −0.201701 | − | 0.484567i | ||||
\(321\) | 1.90481e6 | 1.03178 | ||||||||
\(322\) | 862807.i | 0.463739i | ||||||||
\(323\) | − | 2.72962e6i | − | 1.45578i | ||||||
\(324\) | 136871. | 0.0724350 | ||||||||
\(325\) | −793654. | − | 788158.i | −0.416795 | − | 0.413909i | ||||
\(326\) | −514769. | −0.268268 | ||||||||
\(327\) | 3336.65i | 0.00172561i | ||||||||
\(328\) | − | 2.39530e6i | − | 1.22935i | ||||||
\(329\) | 302860. | 0.154260 | ||||||||
\(330\) | −78077.7 | − | 187574.i | −0.0394677 | − | 0.0948174i | ||||
\(331\) | −2.48973e6 | −1.24906 | −0.624528 | − | 0.781002i | \(-0.714709\pi\) | ||||
−0.624528 | + | 0.781002i | \(0.714709\pi\) | |||||||
\(332\) | 429108.i | 0.213659i | ||||||||
\(333\) | − | 422395.i | − | 0.208741i | ||||||
\(334\) | −992954. | −0.487038 | ||||||||
\(335\) | 2.86295e6 | − | 1.19171e6i | 1.39381 | − | 0.580172i | ||||
\(336\) | 73339.8 | 0.0354398 | ||||||||
\(337\) | − | 2.26543e6i | − | 1.08662i | −0.839534 | − | 0.543308i | \(-0.817172\pi\) | ||
0.839534 | − | 0.543308i | \(-0.182828\pi\) | |||||||
\(338\) | − | 811615.i | − | 0.386419i | ||||||
\(339\) | 127124. | 0.0600799 | ||||||||
\(340\) | −2.22608e6 | + | 926607.i | −1.04434 | + | 0.434709i | ||||
\(341\) | 567559. | 0.264317 | ||||||||
\(342\) | − | 356888.i | − | 0.164993i | ||||||
\(343\) | 2.37029e6i | 1.08784i | ||||||||
\(344\) | −1.89902e6 | −0.865232 | ||||||||
\(345\) | 483050. | + | 1.16048e6i | 0.218497 | + | 0.524916i | ||||
\(346\) | 166332. | 0.0746941 | ||||||||
\(347\) | 887458.i | 0.395662i | 0.980236 | + | 0.197831i | \(0.0633897\pi\) | ||||
−0.980236 | + | 0.197831i | \(0.936610\pi\) | |||||||
\(348\) | 311217.i | 0.137757i | ||||||||
\(349\) | −3.37834e6 | −1.48470 | −0.742351 | − | 0.670011i | \(-0.766289\pi\) | ||||
−0.742351 | + | 0.670011i | \(0.766289\pi\) | |||||||
\(350\) | −760442. | + | 765744.i | −0.331815 | + | 0.334129i | ||||
\(351\) | −260928. | −0.113045 | ||||||||
\(352\) | − | 714914.i | − | 0.307537i | ||||||
\(353\) | − | 1.23199e6i | − | 0.526222i | −0.964766 | − | 0.263111i | \(-0.915251\pi\) | ||
0.964766 | − | 0.263111i | \(-0.0847485\pi\) | |||||||
\(354\) | −136402. | −0.0578512 | ||||||||
\(355\) | 96495.0 | + | 231820.i | 0.0406381 | + | 0.0976291i | ||||
\(356\) | 2.31808e6 | 0.969402 | ||||||||
\(357\) | 1.92550e6i | 0.799600i | ||||||||
\(358\) | − | 2.75475e6i | − | 1.13599i | ||||||
\(359\) | −1.03637e6 | −0.424405 | −0.212202 | − | 0.977226i | \(-0.568064\pi\) | ||||
−0.212202 | + | 0.977226i | \(0.568064\pi\) | |||||||
\(360\) | −737509. | + | 306988.i | −0.299924 | + | 0.124843i | ||||
\(361\) | −733257. | −0.296134 | ||||||||
\(362\) | 2.10701e6i | 0.845076i | ||||||||
\(363\) | − | 131769.i | − | 0.0524864i | ||||||
\(364\) | −772611. | −0.305638 | ||||||||
\(365\) | 1.73199e6 | − | 720943.i | 0.680478 | − | 0.283249i | ||||
\(366\) | −109623. | −0.0427757 | ||||||||
\(367\) | 4.31603e6i | 1.67270i | 0.548192 | + | 0.836352i | \(0.315316\pi\) | ||||
−0.548192 | + | 0.836352i | \(0.684684\pi\) | |||||||
\(368\) | 196761.i | 0.0757389i | ||||||||
\(369\) | −1.09974e6 | −0.420458 | ||||||||
\(370\) | 373881. | + | 898211.i | 0.141980 | + | 0.341094i | ||||
\(371\) | −2.22777e6 | −0.840301 | ||||||||
\(372\) | − | 880661.i | − | 0.329953i | ||||||
\(373\) | 2.03599e6i | 0.757712i | 0.925456 | + | 0.378856i | \(0.123682\pi\) | ||||
−0.925456 | + | 0.378856i | \(0.876318\pi\) | |||||||
\(374\) | 834981. | 0.308672 | ||||||||
\(375\) | −594090. | + | 1.45567e6i | −0.218160 | + | 0.534546i | ||||
\(376\) | −516381. | −0.188365 | ||||||||
\(377\) | − | 593297.i | − | 0.214990i | ||||||
\(378\) | 251752.i | 0.0906240i | ||||||||
\(379\) | 3.67933e6 | 1.31574 | 0.657872 | − | 0.753130i | \(-0.271457\pi\) | ||||
0.657872 | + | 0.753130i | \(0.271457\pi\) | |||||||
\(380\) | −591632. | − | 1.42134e6i | −0.210180 | − | 0.504938i | ||||
\(381\) | 351442. | 0.124034 | ||||||||
\(382\) | − | 1.22504e6i | − | 0.429528i | ||||||
\(383\) | 3.35614e6i | 1.16908i | 0.811366 | + | 0.584539i | \(0.198725\pi\) | ||||
−0.811366 | + | 0.584539i | \(0.801275\pi\) | |||||||
\(384\) | −1.18500e6 | −0.410102 | ||||||||
\(385\) | −646160. | + | 268964.i | −0.222171 | + | 0.0924789i | ||||
\(386\) | −800501. | −0.273460 | ||||||||
\(387\) | 871884.i | 0.295925i | ||||||||
\(388\) | − | 1.21561e6i | − | 0.409935i | ||||||
\(389\) | −5.94481e6 | −1.99188 | −0.995942 | − | 0.0900021i | \(-0.971313\pi\) | ||||
−0.995942 | + | 0.0900021i | \(0.971313\pi\) | |||||||
\(390\) | 554855. | − | 230959.i | 0.184722 | − | 0.0768905i | ||||
\(391\) | −5.16585e6 | −1.70883 | ||||||||
\(392\) | − | 1.07624e6i | − | 0.353747i | ||||||
\(393\) | 1.37554e6i | 0.449254i | ||||||||
\(394\) | 2.97024e6 | 0.963941 | ||||||||
\(395\) | 169969. | + | 408335.i | 0.0548123 | + | 0.131681i | ||||
\(396\) | −204461. | −0.0655199 | ||||||||
\(397\) | 4.07424e6i | 1.29739i | 0.761048 | + | 0.648695i | \(0.224685\pi\) | ||||
−0.761048 | + | 0.648695i | \(0.775315\pi\) | |||||||
\(398\) | 8167.95i | 0.00258467i | ||||||||
\(399\) | −1.22942e6 | −0.386604 | ||||||||
\(400\) | −173417. | + | 174626.i | −0.0541927 | + | 0.0545706i | ||||
\(401\) | 1.76526e6 | 0.548209 | 0.274105 | − | 0.961700i | \(-0.411619\pi\) | ||||
0.274105 | + | 0.961700i | \(0.411619\pi\) | |||||||
\(402\) | 1.66628e6i | 0.514260i | ||||||||
\(403\) | 1.67887e6i | 0.514939i | ||||||||
\(404\) | −1.17874e6 | −0.359305 | ||||||||
\(405\) | 140946. | + | 338608.i | 0.0426986 | + | 0.102579i | ||||
\(406\) | −572433. | −0.172349 | ||||||||
\(407\) | 630985.i | 0.188813i | ||||||||
\(408\) | − | 3.28300e6i | − | 0.976384i | ||||||
\(409\) | 3.05109e6 | 0.901877 | 0.450938 | − | 0.892555i | \(-0.351089\pi\) | ||||
0.450938 | + | 0.892555i | \(0.351089\pi\) | |||||||
\(410\) | 2.33856e6 | − | 973427.i | 0.687051 | − | 0.285985i | ||||
\(411\) | 2.91479e6 | 0.851144 | ||||||||
\(412\) | − | 1.99410e6i | − | 0.578767i | ||||||
\(413\) | 469881.i | 0.135554i | ||||||||
\(414\) | −675416. | −0.193674 | ||||||||
\(415\) | −1.06158e6 | + | 441883.i | −0.302574 | + | 0.125947i | ||||
\(416\) | 2.11476e6 | 0.599139 | ||||||||
\(417\) | 1.76333e6i | 0.496584i | ||||||||
\(418\) | 533129.i | 0.149242i | ||||||||
\(419\) | 6.61264e6 | 1.84009 | 0.920046 | − | 0.391810i | \(-0.128151\pi\) | ||||
0.920046 | + | 0.391810i | \(0.128151\pi\) | |||||||
\(420\) | 417342. | + | 1.00262e6i | 0.115443 | + | 0.277341i | ||||
\(421\) | 2.29303e6 | 0.630527 | 0.315263 | − | 0.949004i | \(-0.397907\pi\) | ||||
0.315263 | + | 0.949004i | \(0.397907\pi\) | |||||||
\(422\) | − | 2.60044e6i | − | 0.710830i | ||||||
\(423\) | 237083.i | 0.0644242i | ||||||||
\(424\) | 3.79837e6 | 1.02608 | ||||||||
\(425\) | −4.58471e6 | − | 4.55296e6i | −1.23123 | − | 1.22271i | ||||
\(426\) | −134922. | −0.0360213 | ||||||||
\(427\) | 377630.i | 0.100230i | ||||||||
\(428\) | 4.41519e6i | 1.16504i | ||||||||
\(429\) | 389781. | 0.102253 | ||||||||
\(430\) | −771743. | − | 1.85404e6i | −0.201280 | − | 0.483556i | ||||
\(431\) | 5.53759e6 | 1.43591 | 0.717956 | − | 0.696089i | \(-0.245078\pi\) | ||||
0.717956 | + | 0.696089i | \(0.245078\pi\) | |||||||
\(432\) | 57411.3i | 0.0148009i | ||||||||
\(433\) | 2.55617e6i | 0.655195i | 0.944817 | + | 0.327598i | \(0.106239\pi\) | ||||
−0.944817 | + | 0.327598i | \(0.893761\pi\) | |||||||
\(434\) | 1.61983e6 | 0.412806 | ||||||||
\(435\) | −769927. | + | 320482.i | −0.195086 | + | 0.0812046i | ||||
\(436\) | −7734.09 | −0.00194847 | ||||||||
\(437\) | − | 3.29835e6i | − | 0.826216i | ||||||
\(438\) | 1.00804e6i | 0.251070i | ||||||||
\(439\) | 696199. | 0.172414 | 0.0862070 | − | 0.996277i | \(-0.472525\pi\) | ||||
0.0862070 | + | 0.996277i | \(0.472525\pi\) | |||||||
\(440\) | 1.10171e6 | − | 458588.i | 0.271291 | − | 0.112925i | ||||
\(441\) | −494126. | −0.120988 | ||||||||
\(442\) | 2.46992e6i | 0.601351i | ||||||||
\(443\) | − | 6.82989e6i | − | 1.65350i | −0.562570 | − | 0.826750i | \(-0.690187\pi\) | ||
0.562570 | − | 0.826750i | \(-0.309813\pi\) | |||||||
\(444\) | 979077. | 0.235700 | ||||||||
\(445\) | 2.38709e6 | + | 5.73476e6i | 0.571439 | + | 1.37282i | ||||
\(446\) | −4.24006e6 | −1.00933 | ||||||||
\(447\) | 3.91544e6i | 0.926854i | ||||||||
\(448\) | − | 1.77963e6i | − | 0.418923i | ||||||
\(449\) | 6.68298e6 | 1.56442 | 0.782212 | − | 0.623013i | \(-0.214091\pi\) | ||||
0.782212 | + | 0.623013i | \(0.214091\pi\) | |||||||
\(450\) | −599434. | − | 595283.i | −0.139544 | − | 0.138577i | ||||
\(451\) | 1.64282e6 | 0.380319 | ||||||||
\(452\) | 294664.i | 0.0678392i | ||||||||
\(453\) | 846564.i | 0.193827i | ||||||||
\(454\) | 5860.49 | 0.00133443 | ||||||||
\(455\) | −795612. | − | 1.91138e6i | −0.180166 | − | 0.432831i | ||||
\(456\) | 2.09617e6 | 0.472079 | ||||||||
\(457\) | 616838.i | 0.138159i | 0.997611 | + | 0.0690797i | \(0.0220063\pi\) | ||||
−0.997611 | + | 0.0690797i | \(0.977994\pi\) | |||||||
\(458\) | − | 617769.i | − | 0.137614i | ||||||
\(459\) | −1.50730e6 | −0.333941 | ||||||||
\(460\) | −2.68990e6 | + | 1.11967e6i | −0.592709 | + | 0.246715i | ||||
\(461\) | 3.55459e6 | 0.779001 | 0.389500 | − | 0.921026i | \(-0.372648\pi\) | ||||
0.389500 | + | 0.921026i | \(0.372648\pi\) | |||||||
\(462\) | − | 376074.i | − | 0.0819725i | ||||||
\(463\) | 3.23948e6i | 0.702299i | 0.936319 | + | 0.351150i | \(0.114209\pi\) | ||||
−0.936319 | + | 0.351150i | \(0.885791\pi\) | |||||||
\(464\) | −130542. | −0.0281485 | ||||||||
\(465\) | 2.17869e6 | − | 906880.i | 0.467265 | − | 0.194499i | ||||
\(466\) | −575106. | −0.122683 | ||||||||
\(467\) | 7.20656e6i | 1.52910i | 0.644564 | + | 0.764550i | \(0.277039\pi\) | ||||
−0.644564 | + | 0.764550i | \(0.722961\pi\) | |||||||
\(468\) | − | 604809.i | − | 0.127645i | ||||||
\(469\) | 5.74004e6 | 1.20499 | ||||||||
\(470\) | −209853. | − | 504150.i | −0.0438197 | − | 0.105273i | ||||
\(471\) | −1.75497e6 | −0.364516 | ||||||||
\(472\) | − | 801154.i | − | 0.165524i | ||||||
\(473\) | − | 1.30244e6i | − | 0.267674i | ||||||
\(474\) | −237656. | −0.0485852 | ||||||||
\(475\) | 2.90703e6 | − | 2.92730e6i | 0.591175 | − | 0.595297i | ||||
\(476\) | −4.46315e6 | −0.902868 | ||||||||
\(477\) | − | 1.74392e6i | − | 0.350939i | ||||||
\(478\) | 5.27549e6i | 1.05607i | ||||||||
\(479\) | −772579. | −0.153852 | −0.0769261 | − | 0.997037i | \(-0.524511\pi\) | ||||
−0.0769261 | + | 0.997037i | \(0.524511\pi\) | |||||||
\(480\) | −1.14233e6 | − | 2.74434e6i | −0.226302 | − | 0.543669i | ||||
\(481\) | −1.86649e6 | −0.367844 | ||||||||
\(482\) | − | 4.81353e6i | − | 0.943726i | ||||||
\(483\) | 2.32669e6i | 0.453806i | ||||||||
\(484\) | 305430. | 0.0592650 | ||||||||
\(485\) | 3.00732e6 | − | 1.25180e6i | 0.580532 | − | 0.241646i | ||||
\(486\) | −197074. | −0.0378477 | ||||||||
\(487\) | − | 3.08873e6i | − | 0.590143i | −0.955475 | − | 0.295072i | \(-0.904656\pi\) | ||
0.955475 | − | 0.295072i | \(-0.0953435\pi\) | |||||||
\(488\) | − | 643865.i | − | 0.122390i | ||||||
\(489\) | −1.38815e6 | −0.262522 | ||||||||
\(490\) | 1.05075e6 | − | 437373.i | 0.197700 | − | 0.0822928i | ||||
\(491\) | 4.82049e6 | 0.902375 | 0.451187 | − | 0.892429i | \(-0.351001\pi\) | ||||
0.451187 | + | 0.892429i | \(0.351001\pi\) | |||||||
\(492\) | − | 2.54910e6i | − | 0.474761i | ||||||
\(493\) | − | 3.42731e6i | − | 0.635091i | ||||||
\(494\) | −1.57703e6 | −0.290751 | ||||||||
\(495\) | −210548. | − | 505822.i | −0.0386224 | − | 0.0927864i | ||||
\(496\) | 369399. | 0.0674204 | ||||||||
\(497\) | 464783.i | 0.0844033i | ||||||||
\(498\) | − | 617854.i | − | 0.111638i | ||||||
\(499\) | 9.37761e6 | 1.68594 | 0.842968 | − | 0.537964i | \(-0.180806\pi\) | ||||
0.842968 | + | 0.537964i | \(0.180806\pi\) | |||||||
\(500\) | −3.37413e6 | − | 1.37705e6i | −0.603583 | − | 0.246335i | ||||
\(501\) | −2.67765e6 | −0.476606 | ||||||||
\(502\) | − | 3.95430e6i | − | 0.700343i | ||||||
\(503\) | − | 4.35545e6i | − | 0.767562i | −0.923424 | − | 0.383781i | \(-0.874622\pi\) | ||
0.923424 | − | 0.383781i | \(-0.125378\pi\) | |||||||
\(504\) | −1.47866e6 | −0.259293 | ||||||||
\(505\) | −1.21383e6 | − | 2.91610e6i | −0.211802 | − | 0.508832i | ||||
\(506\) | 1.00895e6 | 0.175184 | ||||||||
\(507\) | − | 2.18864e6i | − | 0.378142i | ||||||
\(508\) | 814615.i | 0.140053i | ||||||||
\(509\) | −1.05979e7 | −1.81311 | −0.906556 | − | 0.422086i | \(-0.861298\pi\) | ||||
−0.906556 | + | 0.422086i | \(0.861298\pi\) | |||||||
\(510\) | 3.20524e6 | − | 1.33418e6i | 0.545676 | − | 0.227138i | ||||
\(511\) | 3.47253e6 | 0.588294 | ||||||||
\(512\) | − | 909912.i | − | 0.153400i | ||||||
\(513\) | − | 962402.i | − | 0.161459i | ||||||
\(514\) | −1.02794e6 | −0.171617 | ||||||||
\(515\) | 4.93325e6 | − | 2.05347e6i | 0.819625 | − | 0.341169i | ||||
\(516\) | −2.02096e6 | −0.334143 | ||||||||
\(517\) | − | 354161.i | − | 0.0582739i | ||||||
\(518\) | 1.80086e6i | 0.294886i | ||||||||
\(519\) | 448540. | 0.0730942 | ||||||||
\(520\) | 1.35653e6 | + | 3.25893e6i | 0.219999 | + | 0.528526i | ||||
\(521\) | 6.52699e6 | 1.05346 | 0.526731 | − | 0.850032i | \(-0.323418\pi\) | ||||
0.526731 | + | 0.850032i | \(0.323418\pi\) | |||||||
\(522\) | − | 448108.i | − | 0.0719791i | ||||||
\(523\) | 9.35815e6i | 1.49601i | 0.663690 | + | 0.748007i | \(0.268989\pi\) | ||||
−0.663690 | + | 0.748007i | \(0.731011\pi\) | |||||||
\(524\) | −3.18839e6 | −0.507275 | ||||||||
\(525\) | −2.05065e6 | + | 2.06495e6i | −0.324708 | + | 0.326972i | ||||
\(526\) | −6.41801e6 | −1.01143 | ||||||||
\(527\) | 9.69837e6i | 1.52115i | ||||||||
\(528\) | − | 85762.6i | − | 0.0133879i | ||||||
\(529\) | 194157. | 0.0301657 | ||||||||
\(530\) | 1.54362e6 | + | 3.70840e6i | 0.238700 | + | 0.573452i | ||||
\(531\) | −367829. | −0.0566121 | ||||||||
\(532\) | − | 2.84969e6i | − | 0.436534i | ||||||
\(533\) | 4.85955e6i | 0.740932i | ||||||||
\(534\) | −3.33771e6 | −0.506518 | ||||||||
\(535\) | −1.09228e7 | + | 4.54663e6i | −1.64987 | + | 0.686761i | ||||
\(536\) | −9.78685e6 | −1.47140 | ||||||||
\(537\) | − | 7.42860e6i | − | 1.11166i | ||||||
\(538\) | − | 3.82247e6i | − | 0.569361i | ||||||
\(539\) | 738139. | 0.109438 | ||||||||
\(540\) | −784866. | + | 326701.i | −0.115827 | + | 0.0482132i | ||||
\(541\) | 9.93079e6 | 1.45878 | 0.729392 | − | 0.684096i | \(-0.239803\pi\) | ||||
0.729392 | + | 0.684096i | \(0.239803\pi\) | |||||||
\(542\) | 2.46140e6i | 0.359901i | ||||||||
\(543\) | 5.68188e6i | 0.826975i | ||||||||
\(544\) | 1.22163e7 | 1.76988 | ||||||||
\(545\) | −7964.34 | − | 19133.5i | −0.00114857 | − | 0.00275933i | ||||
\(546\) | 1.11245e6 | 0.159698 | ||||||||
\(547\) | − | 8.79495e6i | − | 1.25680i | −0.777891 | − | 0.628399i | \(-0.783711\pi\) | ||
0.777891 | − | 0.628399i | \(-0.216289\pi\) | |||||||
\(548\) | 6.75625e6i | 0.961068i | ||||||||
\(549\) | −295614. | −0.0418595 | ||||||||
\(550\) | 895451. | + | 889250.i | 0.126222 | + | 0.125348i | ||||
\(551\) | 2.18831e6 | 0.307065 | ||||||||
\(552\) | − | 3.96704e6i | − | 0.554139i | ||||||
\(553\) | 818685.i | 0.113842i | ||||||||
\(554\) | 6.38974e6 | 0.884522 | ||||||||
\(555\) | 1.00823e6 | + | 2.42216e6i | 0.138939 | + | 0.333788i | ||||
\(556\) | −4.08725e6 | −0.560717 | ||||||||
\(557\) | 2.78134e6i | 0.379853i | 0.981798 | + | 0.189927i | \(0.0608250\pi\) | ||||
−0.981798 | + | 0.189927i | \(0.939175\pi\) | |||||||
\(558\) | 1.26803e6i | 0.172402i | ||||||||
\(559\) | 3.85271e6 | 0.521479 | ||||||||
\(560\) | −420557. | + | 175057.i | −0.0566702 | + | 0.0235890i | ||||
\(561\) | 2.25165e6 | 0.302061 | ||||||||
\(562\) | 3.66829e6i | 0.489918i | ||||||||
\(563\) | 460410.i | 0.0612172i | 0.999531 | + | 0.0306086i | \(0.00974455\pi\) | ||||
−0.999531 | + | 0.0306086i | \(0.990255\pi\) | |||||||
\(564\) | −549539. | −0.0727446 | ||||||||
\(565\) | −728975. | + | 303436.i | −0.0960709 | + | 0.0399895i | ||||
\(566\) | −1.24001e6 | −0.162698 | ||||||||
\(567\) | 678887.i | 0.0886829i | ||||||||
\(568\) | − | 792462.i | − | 0.103064i | ||||||
\(569\) | −8.74980e6 | −1.13297 | −0.566484 | − | 0.824073i | \(-0.691697\pi\) | ||||
−0.566484 | + | 0.824073i | \(0.691697\pi\) | |||||||
\(570\) | 851865. | + | 2.04652e6i | 0.109821 | + | 0.263833i | ||||
\(571\) | −8.95646e6 | −1.14960 | −0.574799 | − | 0.818295i | \(-0.694920\pi\) | ||||
−0.574799 | + | 0.818295i | \(0.694920\pi\) | |||||||
\(572\) | 903480.i | 0.115459i | ||||||||
\(573\) | − | 3.30351e6i | − | 0.420328i | ||||||
\(574\) | 4.68866e6 | 0.593977 | ||||||||
\(575\) | −5.53996e6 | − | 5.50160e6i | −0.698775 | − | 0.693936i | ||||
\(576\) | 1.39311e6 | 0.174957 | ||||||||
\(577\) | − | 1.14055e7i | − | 1.42618i | −0.701071 | − | 0.713091i | \(-0.747294\pi\) | ||
0.701071 | − | 0.713091i | \(-0.252706\pi\) | |||||||
\(578\) | 9.52931e6i | 1.18643i | ||||||||
\(579\) | −2.15867e6 | −0.267603 | ||||||||
\(580\) | −742852. | − | 1.78463e6i | −0.0916921 | − | 0.220281i | ||||
\(581\) | −2.12840e6 | −0.261585 | ||||||||
\(582\) | 1.75030e6i | 0.214193i | ||||||||
\(583\) | 2.60512e6i | 0.317436i | ||||||||
\(584\) | −5.92072e6 | −0.718361 | ||||||||
\(585\) | 1.49625e6 | − | 622815.i | 0.180765 | − | 0.0752436i | ||||
\(586\) | −9.55288e6 | −1.14919 | ||||||||
\(587\) | 1.05278e7i | 1.26108i | 0.776157 | + | 0.630539i | \(0.217166\pi\) | ||||
−0.776157 | + | 0.630539i | \(0.782834\pi\) | |||||||
\(588\) | − | 1.14534e6i | − | 0.136613i | ||||||
\(589\) | −6.19234e6 | −0.735472 | ||||||||
\(590\) | 782177. | − | 325582.i | 0.0925071 | − | 0.0385061i | ||||
\(591\) | 8.00969e6 | 0.943294 | ||||||||
\(592\) | 410680.i | 0.0481614i | ||||||||
\(593\) | − | 7.64531e6i | − | 0.892809i | −0.894831 | − | 0.446404i | \(-0.852704\pi\) | ||
0.894831 | − | 0.446404i | \(-0.147296\pi\) | |||||||
\(594\) | 294395. | 0.0342345 | ||||||||
\(595\) | −4.59602e6 | − | 1.10415e7i | −0.532218 | − | 1.27860i | ||||
\(596\) | −9.07566e6 | −1.04656 | ||||||||
\(597\) | 22026.1i | 0.00252931i | ||||||||
\(598\) | 2.98455e6i | 0.341292i | ||||||||
\(599\) | 1.28357e7 | 1.46168 | 0.730838 | − | 0.682550i | \(-0.239129\pi\) | ||||
0.730838 | + | 0.682550i | \(0.239129\pi\) | |||||||
\(600\) | 3.49638e6 | − | 3.52076e6i | 0.396498 | − | 0.399262i | ||||
\(601\) | −1.49774e7 | −1.69142 | −0.845710 | − | 0.533643i | \(-0.820823\pi\) | ||||
−0.845710 | + | 0.533643i | \(0.820823\pi\) | |||||||
\(602\) | − | 3.71722e6i | − | 0.418049i | ||||||
\(603\) | 4.49337e6i | 0.503245i | ||||||||
\(604\) | −1.96227e6 | −0.218860 | ||||||||
\(605\) | 314523. | + | 755610.i | 0.0349353 | + | 0.0839285i | ||||
\(606\) | 1.69721e6 | 0.187739 | ||||||||
\(607\) | − | 273921.i | − | 0.0301754i | −0.999886 | − | 0.0150877i | \(-0.995197\pi\) | ||
0.999886 | − | 0.0150877i | \(-0.00480274\pi\) | |||||||
\(608\) | 7.80005e6i | 0.855733i | ||||||||
\(609\) | −1.54365e6 | −0.168658 | ||||||||
\(610\) | 628614. | − | 261661.i | 0.0684006 | − | 0.0284718i | ||||
\(611\) | 1.04763e6 | 0.113528 | ||||||||
\(612\) | − | 3.49381e6i | − | 0.377069i | ||||||
\(613\) | 3.61183e6i | 0.388219i | 0.980980 | + | 0.194109i | \(0.0621816\pi\) | ||||
−0.980980 | + | 0.194109i | \(0.937818\pi\) | |||||||
\(614\) | −8.92027e6 | −0.954898 | ||||||||
\(615\) | 6.30629e6 | − | 2.62499e6i | 0.672335 | − | 0.279860i | ||||
\(616\) | 2.20886e6 | 0.234540 | ||||||||
\(617\) | − | 1.11537e7i | − | 1.17952i | −0.807579 | − | 0.589759i | \(-0.799223\pi\) | ||
0.807579 | − | 0.589759i | \(-0.200777\pi\) | |||||||
\(618\) | 2.87122e6i | 0.302409i | ||||||||
\(619\) | 8.08693e6 | 0.848314 | 0.424157 | − | 0.905589i | \(-0.360570\pi\) | ||||
0.424157 | + | 0.905589i | \(0.360570\pi\) | |||||||
\(620\) | 2.10207e6 | + | 5.05002e6i | 0.219618 | + | 0.527612i | ||||
\(621\) | −1.82136e6 | −0.189525 | ||||||||
\(622\) | − | 6.15382e6i | − | 0.637777i | ||||||
\(623\) | 1.14978e7i | 1.18685i | ||||||||
\(624\) | 253691. | 0.0260822 | ||||||||
\(625\) | −67856.7 | − | 9.76539e6i | −0.00694852 | − | 0.999976i | ||||
\(626\) | −6.26582e6 | −0.639060 | ||||||||
\(627\) | 1.43766e6i | 0.146045i | ||||||||
\(628\) | − | 4.06787e6i | − | 0.411593i | ||||||
\(629\) | −1.07822e7 | −1.08663 | ||||||||
\(630\) | −600913. | − | 1.44363e6i | −0.0603199 | − | 0.144913i | ||||
\(631\) | −1.09030e7 | −1.09012 | −0.545060 | − | 0.838397i | \(-0.683493\pi\) | ||||
−0.545060 | + | 0.838397i | \(0.683493\pi\) | |||||||
\(632\) | − | 1.39587e6i | − | 0.139012i | ||||||
\(633\) | − | 7.01248e6i | − | 0.695605i | ||||||
\(634\) | −6.81665e6 | −0.673516 | ||||||||
\(635\) | −2.01529e6 | + | 838867.i | −0.198337 | + | 0.0825579i | ||||
\(636\) | 4.04227e6 | 0.396262 | ||||||||
\(637\) | 2.18346e6i | 0.213205i | ||||||||
\(638\) | 669396.i | 0.0651075i | ||||||||
\(639\) | −363838. | −0.0352497 | ||||||||
\(640\) | 6.79523e6 | − | 2.82852e6i | 0.655774 | − | 0.272966i | ||||
\(641\) | −1.28118e7 | −1.23159 | −0.615794 | − | 0.787907i | \(-0.711165\pi\) | ||||
−0.615794 | + | 0.787907i | \(0.711165\pi\) | |||||||
\(642\) | − | 6.35724e6i | − | 0.608739i | ||||||
\(643\) | 4.42120e6i | 0.421709i | 0.977517 | + | 0.210854i | \(0.0676246\pi\) | ||||
−0.977517 | + | 0.210854i | \(0.932375\pi\) | |||||||
\(644\) | −5.39308e6 | −0.512415 | ||||||||
\(645\) | −2.08112e6 | − | 4.99969e6i | −0.196969 | − | 0.473199i | ||||
\(646\) | −9.11003e6 | −0.858892 | ||||||||
\(647\) | − | 2.82953e6i | − | 0.265738i | −0.991134 | − | 0.132869i | \(-0.957581\pi\) | ||
0.991134 | − | 0.132869i | \(-0.0424189\pi\) | |||||||
\(648\) | − | 1.15751e6i | − | 0.108290i | ||||||
\(649\) | 549472. | 0.0512076 | ||||||||
\(650\) | −2.63046e6 | + | 2.64880e6i | −0.244201 | + | 0.245904i | ||||
\(651\) | 4.36813e6 | 0.403964 | ||||||||
\(652\) | − | 3.21763e6i | − | 0.296426i | ||||||
\(653\) | 1.51923e7i | 1.39425i | 0.716948 | + | 0.697127i | \(0.245539\pi\) | ||||
−0.716948 | + | 0.697127i | \(0.754461\pi\) | |||||||
\(654\) | 11136.0 | 0.00101809 | ||||||||
\(655\) | −3.28332e6 | − | 7.88784e6i | −0.299026 | − | 0.718381i | ||||
\(656\) | 1.06924e6 | 0.0970096 | ||||||||
\(657\) | 2.71834e6i | 0.245692i | ||||||||
\(658\) | − | 1.01079e6i | − | 0.0910113i | ||||||
\(659\) | 1.45583e7 | 1.30587 | 0.652933 | − | 0.757416i | \(-0.273538\pi\) | ||||
0.652933 | + | 0.757416i | \(0.273538\pi\) | |||||||
\(660\) | 1.17245e6 | − | 488034.i | 0.104770 | − | 0.0436104i | ||||
\(661\) | 5.60047e6 | 0.498564 | 0.249282 | − | 0.968431i | \(-0.419805\pi\) | ||||
0.249282 | + | 0.968431i | \(0.419805\pi\) | |||||||
\(662\) | 8.30941e6i | 0.736928i | ||||||||
\(663\) | 6.66052e6i | 0.588470i | ||||||||
\(664\) | 3.62895e6 | 0.319419 | ||||||||
\(665\) | 7.04991e6 | − | 2.93453e6i | 0.618200 | − | 0.257326i | ||||
\(666\) | −1.40973e6 | −0.123155 | ||||||||
\(667\) | − | 4.14141e6i | − | 0.360440i | ||||||
\(668\) | − | 6.20658e6i | − | 0.538159i | ||||||
\(669\) | −1.14340e7 | −0.987715 | ||||||||
\(670\) | −3.97729e6 | − | 9.55503e6i | −0.342294 | − | 0.822328i | ||||
\(671\) | 441596. | 0.0378633 | ||||||||
\(672\) | − | 5.50222e6i | − | 0.470018i | ||||||
\(673\) | 2.22862e6i | 0.189670i | 0.995493 | + | 0.0948351i | \(0.0302324\pi\) | ||||
−0.995493 | + | 0.0948351i | \(0.969768\pi\) | |||||||
\(674\) | −7.56081e6 | −0.641089 | ||||||||
\(675\) | −1.61646e6 | − | 1.60527e6i | −0.136555 | − | 0.135609i | ||||
\(676\) | 5.07310e6 | 0.426979 | ||||||||
\(677\) | − | 1.47850e7i | − | 1.23980i | −0.784683 | − | 0.619898i | \(-0.787174\pi\) | ||
0.784683 | − | 0.619898i | \(-0.212826\pi\) | |||||||
\(678\) | − | 424274.i | − | 0.0354464i | ||||||
\(679\) | 6.02949e6 | 0.501887 | ||||||||
\(680\) | 7.83629e6 | + | 1.88259e7i | 0.649887 | + | 1.56129i | ||||
\(681\) | 15803.7 | 0.00130584 | ||||||||
\(682\) | − | 1.89421e6i | − | 0.155944i | ||||||
\(683\) | − | 415268.i | − | 0.0340625i | −0.999855 | − | 0.0170313i | \(-0.994579\pi\) | ||
0.999855 | − | 0.0170313i | \(-0.00542148\pi\) | |||||||
\(684\) | 2.23077e6 | 0.182312 | ||||||||
\(685\) | −1.67144e7 | + | 6.95739e6i | −1.36102 | + | 0.566526i | ||||
\(686\) | 7.91078e6 | 0.641814 | ||||||||
\(687\) | − | 1.66591e6i | − | 0.134666i | ||||||
\(688\) | − | 847703.i | − | 0.0682767i | ||||||
\(689\) | −7.70610e6 | −0.618424 | ||||||||
\(690\) | 3.87307e6 | − | 1.61217e6i | 0.309694 | − | 0.128910i | ||||
\(691\) | 8.64233e6 | 0.688550 | 0.344275 | − | 0.938869i | \(-0.388125\pi\) | ||||
0.344275 | + | 0.938869i | \(0.388125\pi\) | |||||||
\(692\) | 1.03968e6i | 0.0825342i | ||||||||
\(693\) | − | 1.01414e6i | − | 0.0802167i | ||||||
\(694\) | 2.96187e6 | 0.233436 | ||||||||
\(695\) | −4.20893e6 | − | 1.01115e7i | −0.330529 | − | 0.794063i | ||||
\(696\) | 2.63195e6 | 0.205947 | ||||||||
\(697\) | 2.80723e7i | 2.18875i | ||||||||
\(698\) | 1.12751e7i | 0.875956i | ||||||||
\(699\) | −1.55086e6 | −0.120055 | ||||||||
\(700\) | −4.78638e6 | − | 4.75323e6i | −0.369200 | − | 0.366644i | ||||
\(701\) | −1.30512e7 | −1.00313 | −0.501564 | − | 0.865121i | \(-0.667242\pi\) | ||||
−0.501564 | + | 0.865121i | \(0.667242\pi\) | |||||||
\(702\) | 870839.i | 0.0666953i | ||||||||
\(703\) | − | 6.88434e6i | − | 0.525381i | ||||||
\(704\) | −2.08107e6 | −0.158254 | ||||||||
\(705\) | −565899. | − | 1.35952e6i | −0.0428811 | − | 0.103018i | ||||
\(706\) | −4.11172e6 | −0.310464 | ||||||||
\(707\) | − | 5.84660e6i | − | 0.439901i | ||||||
\(708\) | − | 852597.i | − | 0.0639235i | ||||||
\(709\) | 1.56007e7 | 1.16555 | 0.582773 | − | 0.812635i | \(-0.301968\pi\) | ||||
0.582773 | + | 0.812635i | \(0.301968\pi\) | |||||||
\(710\) | 773692. | − | 322049.i | 0.0575999 | − | 0.0239760i | ||||
\(711\) | −640876. | −0.0475445 | ||||||||
\(712\) | − | 1.96039e7i | − | 1.44925i | ||||||
\(713\) | 1.17191e7i | 0.863317i | ||||||||
\(714\) | 6.42630e6 | 0.471754 | ||||||||
\(715\) | −2.23514e6 | + | 930378.i | −0.163508 | + | 0.0680604i | ||||
\(716\) | 1.72189e7 | 1.25523 | ||||||||
\(717\) | 1.42262e7i | 1.03345i | ||||||||
\(718\) | 3.45887e6i | 0.250394i | ||||||||
\(719\) | 6.44874e6 | 0.465214 | 0.232607 | − | 0.972571i | \(-0.425274\pi\) | ||||
0.232607 | + | 0.972571i | \(0.425274\pi\) | |||||||
\(720\) | −137037. | − | 329217.i | −0.00985157 | − | 0.0236674i | ||||
\(721\) | 9.89085e6 | 0.708591 | ||||||||
\(722\) | 2.44723e6i | 0.174715i | ||||||||
\(723\) | − | 1.29804e7i | − | 0.923512i | ||||||
\(724\) | −1.31701e7 | −0.933779 | ||||||||
\(725\) | 3.65006e6 | − | 3.67552e6i | 0.257903 | − | 0.259701i | ||||
\(726\) | −439775. | −0.0309663 | ||||||||
\(727\) | 8.36468e6i | 0.586967i | 0.955964 | + | 0.293483i | \(0.0948145\pi\) | ||||
−0.955964 | + | 0.293483i | \(0.905185\pi\) | |||||||
\(728\) | 6.53394e6i | 0.456927i | ||||||||
\(729\) | −531441. | −0.0370370 | ||||||||
\(730\) | −2.40613e6 | − | 5.78048e6i | −0.167113 | − | 0.401473i | ||||
\(731\) | 2.22560e7 | 1.54047 | ||||||||
\(732\) | − | 685209.i | − | 0.0472656i | ||||||
\(733\) | − | 3.08435e6i | − | 0.212033i | −0.994364 | − | 0.106017i | \(-0.966190\pi\) | ||
0.994364 | − | 0.106017i | \(-0.0338097\pi\) | |||||||
\(734\) | 1.44046e7 | 0.986875 | ||||||||
\(735\) | 2.83349e6 | − | 1.17944e6i | 0.193466 | − | 0.0805301i | ||||
\(736\) | 1.47617e7 | 1.00448 | ||||||||
\(737\) | − | 6.71232e6i | − | 0.455202i | ||||||
\(738\) | 3.67034e6i | 0.248065i | ||||||||
\(739\) | 2.28100e7 | 1.53644 | 0.768218 | − | 0.640189i | \(-0.221144\pi\) | ||||
0.768218 | + | 0.640189i | \(0.221144\pi\) | |||||||
\(740\) | −5.61438e6 | + | 2.33699e6i | −0.376897 | + | 0.156883i | ||||
\(741\) | −4.25269e6 | −0.284524 | ||||||||
\(742\) | 7.43511e6i | 0.495767i | ||||||||
\(743\) | − | 1.21470e7i | − | 0.807232i | −0.914929 | − | 0.403616i | \(-0.867753\pi\) | ||
0.914929 | − | 0.403616i | \(-0.132247\pi\) | |||||||
\(744\) | −7.44772e6 | −0.493277 | ||||||||
\(745\) | −9.34586e6 | − | 2.24525e7i | −0.616919 | − | 1.48209i | ||||
\(746\) | 6.79507e6 | 0.447040 | ||||||||
\(747\) | − | 1.66614e6i | − | 0.109247i | ||||||
\(748\) | 5.21915e6i | 0.341072i | ||||||||
\(749\) | −2.18996e7 | −1.42637 | ||||||||
\(750\) | 4.85827e6 | + | 1.98276e6i | 0.315376 | + | 0.128711i | ||||
\(751\) | 2.29619e7 | 1.48562 | 0.742809 | − | 0.669503i | \(-0.233493\pi\) | ||||
0.742809 | + | 0.669503i | \(0.233493\pi\) | |||||||
\(752\) | − | 230508.i | − | 0.0148642i | ||||||
\(753\) | − | 1.06634e7i | − | 0.685342i | ||||||
\(754\) | −1.98011e6 | −0.126842 | ||||||||
\(755\) | −2.02069e6 | − | 4.85450e6i | −0.129012 | − | 0.309939i | ||||
\(756\) | −1.57361e6 | −0.100136 | ||||||||
\(757\) | 8.97752e6i | 0.569399i | 0.958617 | + | 0.284699i | \(0.0918938\pi\) | ||||
−0.958617 | + | 0.284699i | \(0.908106\pi\) | |||||||
\(758\) | − | 1.22797e7i | − | 0.776272i | ||||||
\(759\) | 2.72080e6 | 0.171432 | ||||||||
\(760\) | −1.20202e7 | + | 5.00341e6i | −0.754879 | + | 0.314219i | ||||
\(761\) | 1.81766e7 | 1.13776 | 0.568880 | − | 0.822421i | \(-0.307377\pi\) | ||||
0.568880 | + | 0.822421i | \(0.307377\pi\) | |||||||
\(762\) | − | 1.17293e6i | − | 0.0731786i | ||||||
\(763\) | − | 38361.5i | − | 0.00238553i | ||||||
\(764\) | 7.65726e6 | 0.474613 | ||||||||
\(765\) | 8.64342e6 | − | 3.59782e6i | 0.533988 | − | 0.222273i | ||||
\(766\) | 1.12010e7 | 0.689741 | ||||||||
\(767\) | 1.62537e6i | 0.0997618i | ||||||||
\(768\) | 8.90821e6i | 0.544989i | ||||||||
\(769\) | 1.53679e7 | 0.937127 | 0.468564 | − | 0.883430i | \(-0.344772\pi\) | ||||
0.468564 | + | 0.883430i | \(0.344772\pi\) | |||||||
\(770\) | 897660. | + | 2.15654e6i | 0.0545614 | + | 0.131078i | ||||
\(771\) | −2.77199e6 | −0.167941 | ||||||||
\(772\) | − | 5.00363e6i | − | 0.302163i | ||||||
\(773\) | − | 732946.i | − | 0.0441188i | −0.999757 | − | 0.0220594i | \(-0.992978\pi\) | ||
0.999757 | − | 0.0220594i | \(-0.00702229\pi\) | |||||||
\(774\) | 2.90989e6 | 0.174592 | ||||||||
\(775\) | −1.03287e7 | + | 1.04007e7i | −0.617721 | + | 0.622028i | ||||
\(776\) | −1.02804e7 | −0.612850 | ||||||||
\(777\) | 4.85628e6i | 0.288570i | ||||||||
\(778\) | 1.98406e7i | 1.17519i | ||||||||
\(779\) | −1.79239e7 | −1.05825 | ||||||||
\(780\) | 1.44363e6 | + | 3.46819e6i | 0.0849612 | + | 0.204111i | ||||
\(781\) | 543511. | 0.0318846 | ||||||||
\(782\) | 1.72409e7i | 1.00819i | ||||||||
\(783\) | − | 1.20839e6i | − | 0.0704373i | ||||||
\(784\) | 480422. | 0.0279147 | ||||||||
\(785\) | 1.00636e7 | − | 4.18897e6i | 0.582880 | − | 0.242624i | ||||
\(786\) | 4.59083e6 | 0.265054 | ||||||||
\(787\) | 2.25077e7i | 1.29537i | 0.761908 | + | 0.647685i | \(0.224263\pi\) | ||||
−0.761908 | + | 0.647685i | \(0.775737\pi\) | |||||||
\(788\) | 1.85658e7i | 1.06512i | ||||||||
\(789\) | −1.73071e7 | −0.989767 | ||||||||
\(790\) | 1.36281e6 | − | 567268.i | 0.0776902 | − | 0.0323386i | ||||
\(791\) | −1.46155e6 | −0.0830562 | ||||||||
\(792\) | 1.72912e6i | 0.0979519i | ||||||||
\(793\) | 1.30627e6i | 0.0737648i | ||||||||
\(794\) | 1.35977e7 | 0.765444 | ||||||||
\(795\) | 4.16262e6 | + | 1.00003e7i | 0.233587 | + | 0.561169i | ||||
\(796\) | −51054.7 | −0.00285597 | ||||||||
\(797\) | − | 5.07705e6i | − | 0.283117i | −0.989930 | − | 0.141558i | \(-0.954789\pi\) | ||
0.989930 | − | 0.141558i | \(-0.0452113\pi\) | |||||||
\(798\) | 4.10314e6i | 0.228092i | ||||||||
\(799\) | 6.05185e6 | 0.335368 | ||||||||
\(800\) | 1.31011e7 | + | 1.30104e7i | 0.723739 | + | 0.718727i | ||||
\(801\) | −9.00063e6 | −0.495669 | ||||||||
\(802\) | − | 5.89149e6i | − | 0.323437i | ||||||
\(803\) | − | 4.06073e6i | − | 0.222237i | ||||||
\(804\) | −1.04153e7 | −0.568238 | ||||||||
\(805\) | −5.55363e6 | − | 1.33421e7i | −0.302056 | − | 0.725660i | ||||
\(806\) | 5.60320e6 | 0.303807 | ||||||||
\(807\) | − | 1.03079e7i | − | 0.557166i | ||||||
\(808\) | 9.96853e6i | 0.537159i | ||||||||
\(809\) | −1.15468e7 | −0.620282 | −0.310141 | − | 0.950691i | \(-0.600376\pi\) | ||||
−0.310141 | + | 0.950691i | \(0.600376\pi\) | |||||||
\(810\) | 1.13009e6 | − | 470402.i | 0.0605205 | − | 0.0251917i | ||||
\(811\) | −2.62543e7 | −1.40168 | −0.700838 | − | 0.713320i | \(-0.747190\pi\) | ||||
−0.700838 | + | 0.713320i | \(0.747190\pi\) | |||||||
\(812\) | − | 3.57806e6i | − | 0.190440i | ||||||
\(813\) | 6.63753e6i | 0.352192i | ||||||||
\(814\) | 2.10590e6 | 0.111398 | ||||||||
\(815\) | 7.96016e6 | − | 3.31342e6i | 0.419786 | − | 0.174736i | ||||
\(816\) | 1.46550e6 | 0.0770479 | ||||||||
\(817\) | 1.42103e7i | 0.744813i | ||||||||
\(818\) | − | 1.01829e7i | − | 0.532096i | ||||||
\(819\) | 2.99989e6 | 0.156277 | ||||||||
\(820\) | 6.08452e6 | + | 1.46175e7i | 0.316003 | + | 0.759167i | ||||
\(821\) | −3.96273e6 | −0.205180 | −0.102590 | − | 0.994724i | \(-0.532713\pi\) | ||||
−0.102590 | + | 0.994724i | \(0.532713\pi\) | |||||||
\(822\) | − | 9.72803e6i | − | 0.502164i | ||||||
\(823\) | 9.86765e6i | 0.507825i | 0.967227 | + | 0.253913i | \(0.0817176\pi\) | ||||
−0.967227 | + | 0.253913i | \(0.918282\pi\) | |||||||
\(824\) | −1.68640e7 | −0.865254 | ||||||||
\(825\) | 2.41472e6 | + | 2.39800e6i | 0.123518 | + | 0.122663i | ||||
\(826\) | 1.56821e6 | 0.0799752 | ||||||||
\(827\) | 5.90399e6i | 0.300180i | 0.988672 | + | 0.150090i | \(0.0479564\pi\) | ||||
−0.988672 | + | 0.150090i | \(0.952044\pi\) | |||||||
\(828\) | − | 4.22177e6i | − | 0.214002i | ||||||
\(829\) | −2.38090e7 | −1.20325 | −0.601624 | − | 0.798779i | \(-0.705480\pi\) | ||||
−0.601624 | + | 0.798779i | \(0.705480\pi\) | |||||||
\(830\) | 1.47477e6 | + | 3.54299e6i | 0.0743070 | + | 0.178515i | ||||
\(831\) | 1.72309e7 | 0.865576 | ||||||||
\(832\) | − | 6.15593e6i | − | 0.308309i | ||||||
\(833\) | 1.26132e7i | 0.629816i | ||||||||
\(834\) | 5.88505e6 | 0.292978 | ||||||||
\(835\) | 1.53546e7 | − | 6.39135e6i | 0.762118 | − | 0.317232i | ||||
\(836\) | −3.33239e6 | −0.164907 | ||||||||
\(837\) | 3.41943e6i | 0.168709i | ||||||||
\(838\) | − | 2.20695e7i | − | 1.08563i | ||||||
\(839\) | −1.88904e7 | −0.926479 | −0.463240 | − | 0.886233i | \(-0.653313\pi\) | ||||
−0.463240 | + | 0.886233i | \(0.653313\pi\) | |||||||
\(840\) | 8.47915e6 | − | 3.52945e6i | 0.414624 | − | 0.172587i | ||||
\(841\) | −1.77635e7 | −0.866042 | ||||||||
\(842\) | − | 7.65291e6i | − | 0.372003i | ||||||
\(843\) | 9.89210e6i | 0.479424i | ||||||||
\(844\) | 1.62544e7 | 0.785442 | ||||||||
\(845\) | 5.22413e6 | + | 1.25504e7i | 0.251693 | + | 0.604669i | ||||
\(846\) | 791257. | 0.0380095 | ||||||||
\(847\) | 1.51495e6i | 0.0725587i | ||||||||
\(848\) | 1.69556e6i | 0.0809697i | ||||||||
\(849\) | −3.34387e6 | −0.159214 | ||||||||
\(850\) | −1.51954e7 | + | 1.53013e7i | −0.721381 | + | 0.726411i | ||||
\(851\) | −1.30287e7 | −0.616706 | ||||||||
\(852\) | − | 843347.i | − | 0.0398022i | ||||||
\(853\) | − | 2.79626e7i | − | 1.31585i | −0.753085 | − | 0.657924i | \(-0.771435\pi\) | ||
0.753085 | − | 0.657924i | \(-0.228565\pi\) | |||||||
\(854\) | 1.26033e6 | 0.0591344 | ||||||||
\(855\) | 2.29718e6 | + | 5.51875e6i | 0.107468 | + | 0.258182i | ||||
\(856\) | 3.73391e7 | 1.74172 | ||||||||
\(857\) | 2.82523e6i | 0.131402i | 0.997839 | + | 0.0657009i | \(0.0209283\pi\) | ||||
−0.997839 | + | 0.0657009i | \(0.979072\pi\) | |||||||
\(858\) | − | 1.30088e6i | − | 0.0603281i | ||||||
\(859\) | −5.68353e6 | −0.262806 | −0.131403 | − | 0.991329i | \(-0.541948\pi\) | ||||
−0.131403 | + | 0.991329i | \(0.541948\pi\) | |||||||
\(860\) | 1.15889e7 | − | 4.82387e6i | 0.534312 | − | 0.222408i | ||||
\(861\) | 1.26437e7 | 0.581254 | ||||||||
\(862\) | − | 1.84816e7i | − | 0.847170i | ||||||
\(863\) | 2.23836e6i | 0.102306i | 0.998691 | + | 0.0511532i | \(0.0162897\pi\) | ||||
−0.998691 | + | 0.0511532i | \(0.983710\pi\) | |||||||
\(864\) | 4.30721e6 | 0.196296 | ||||||||
\(865\) | −2.57209e6 | + | 1.07063e6i | −0.116881 | + | 0.0486519i | ||||
\(866\) | 8.53116e6 | 0.386557 | ||||||||
\(867\) | 2.56972e7i | 1.16102i | ||||||||
\(868\) | 1.01250e7i | 0.456136i | ||||||||
\(869\) | 957359. | 0.0430056 | ||||||||
\(870\) | 1.06960e6 | + | 2.56961e6i | 0.0479097 | + | 0.115098i | ||||
\(871\) | 1.98555e7 | 0.886818 | ||||||||
\(872\) | 65406.9i | 0.00291295i | ||||||||
\(873\) | 4.71996e6i | 0.209605i | ||||||||
\(874\) | −1.10082e7 | −0.487457 | ||||||||
\(875\) | 6.83026e6 | − | 1.67359e7i | 0.301590 | − | 0.738972i | ||||
\(876\) | −6.30090e6 | −0.277423 | ||||||||
\(877\) | 6.04256e6i | 0.265291i | 0.991164 | + | 0.132645i | \(0.0423471\pi\) | ||||
−0.991164 | + | 0.132645i | \(0.957653\pi\) | |||||||
\(878\) | − | 2.32355e6i | − | 0.101722i | ||||||
\(879\) | −2.57608e7 | −1.12457 | ||||||||
\(880\) | 204709. | + | 491793.i | 0.00891108 | + | 0.0214080i | ||||
\(881\) | 3.77877e7 | 1.64025 | 0.820126 | − | 0.572183i | \(-0.193903\pi\) | ||||
0.820126 | + | 0.572183i | \(0.193903\pi\) | |||||||
\(882\) | 1.64913e6i | 0.0713812i | ||||||||
\(883\) | − | 4.27448e7i | − | 1.84494i | −0.386070 | − | 0.922469i | \(-0.626168\pi\) | ||
0.386070 | − | 0.922469i | \(-0.373832\pi\) | |||||||
\(884\) | −1.54386e7 | −0.664471 | ||||||||
\(885\) | 2.10926e6 | − | 877980.i | 0.0905257 | − | 0.0376813i | ||||
\(886\) | −2.27946e7 | −0.975544 | ||||||||
\(887\) | − | 971018.i | − | 0.0414398i | −0.999785 | − | 0.0207199i | \(-0.993404\pi\) | ||
0.999785 | − | 0.0207199i | \(-0.00659583\pi\) | |||||||
\(888\) | − | 8.28002e6i | − | 0.352370i | ||||||
\(889\) | −4.04053e6 | −0.171468 | ||||||||
\(890\) | 1.91396e7 | − | 7.96686e6i | 0.809949 | − | 0.337142i | ||||
\(891\) | 793881. | 0.0335013 | ||||||||
\(892\) | − | 2.65030e7i | − | 1.11528i | ||||||
\(893\) | 3.86406e6i | 0.162149i | ||||||||
\(894\) | 1.30677e7 | 0.546832 | ||||||||
\(895\) | 1.77315e7 | + | 4.25982e7i | 0.739926 | + | 1.77760i | ||||
\(896\) | 1.36240e7 | 0.566937 | ||||||||
\(897\) | 8.04828e6i | 0.333981i | ||||||||
\(898\) | − | 2.23043e7i | − | 0.922990i | ||||||
\(899\) | −7.77509e6 | −0.320853 | ||||||||
\(900\) | 3.72089e6 | − | 3.74683e6i | 0.153123 | − | 0.154191i | ||||
\(901\) | −4.45159e7 | −1.82685 | ||||||||
\(902\) | − | 5.48286e6i | − | 0.224383i | ||||||
\(903\) | − | 1.00241e7i | − | 0.409095i | ||||||
\(904\) | 2.49196e6 | 0.101419 | ||||||||
\(905\) | −1.35622e7 | − | 3.25819e7i | −0.550440 | − | 1.32238i | ||||
\(906\) | 2.82538e6 | 0.114355 | ||||||||
\(907\) | 1.74008e7i | 0.702348i | 0.936310 | + | 0.351174i | \(0.114217\pi\) | ||||
−0.936310 | + | 0.351174i | \(0.885783\pi\) | |||||||
\(908\) | 36631.7i | 0.00147449i | ||||||||
\(909\) | 4.57679e6 | 0.183718 | ||||||||
\(910\) | −6.37918e6 | + | 2.65533e6i | −0.255365 | + | 0.106296i | ||||
\(911\) | −1.56534e7 | −0.624903 | −0.312451 | − | 0.949934i | \(-0.601150\pi\) | ||||
−0.312451 | + | 0.949934i | \(0.601150\pi\) | |||||||
\(912\) | 935711.i | 0.0372524i | ||||||||
\(913\) | 2.48892e6i | 0.0988175i | ||||||||
\(914\) | 2.05868e6 | 0.0815123 | ||||||||
\(915\) | 1.69515e6 | − | 705608.i | 0.0669355 | − | 0.0278619i | ||||
\(916\) | 3.86144e6 | 0.152058 | ||||||||
\(917\) | − | 1.58146e7i | − | 0.621062i | ||||||
\(918\) | 5.03059e6i | 0.197021i | ||||||||
\(919\) | 3.32140e7 | 1.29728 | 0.648639 | − | 0.761097i | \(-0.275339\pi\) | ||||
0.648639 | + | 0.761097i | \(0.275339\pi\) | |||||||
\(920\) | 9.46903e6 | + | 2.27484e7i | 0.368838 | + | 0.886097i | ||||
\(921\) | −2.40549e7 | −0.934445 | ||||||||
\(922\) | − | 1.18634e7i | − | 0.459601i | ||||||
\(923\) | 1.60774e6i | 0.0621171i | ||||||||
\(924\) | 2.35069e6 | 0.0905766 | ||||||||
\(925\) | −1.15630e7 | − | 1.14830e7i | −0.444343 | − | 0.441266i | ||||
\(926\) | 1.08117e7 | 0.414348 | ||||||||
\(927\) | 7.74268e6i | 0.295932i | ||||||||
\(928\) | 9.79372e6i | 0.373317i | ||||||||
\(929\) | 7.05863e6 | 0.268338 | 0.134169 | − | 0.990958i | \(-0.457164\pi\) | ||||
0.134169 | + | 0.990958i | \(0.457164\pi\) | |||||||
\(930\) | −3.02669e6 | − | 7.27131e6i | −0.114752 | − | 0.275680i | ||||
\(931\) | −8.05345e6 | −0.304514 | ||||||||
\(932\) | − | 3.59477e6i | − | 0.135560i | ||||||
\(933\) | − | 1.65947e7i | − | 0.624116i | ||||||
\(934\) | 2.40517e7 | 0.902150 | ||||||||
\(935\) | −1.29118e7 | + | 5.37453e6i | −0.483011 | + | 0.201053i | ||||
\(936\) | −5.11485e6 | −0.190829 | ||||||||
\(937\) | − | 4.85427e6i | − | 0.180624i | −0.995914 | − | 0.0903120i | \(-0.971214\pi\) | ||
0.995914 | − | 0.0903120i | \(-0.0287864\pi\) | |||||||
\(938\) | − | 1.91572e7i | − | 0.710928i | ||||||
\(939\) | −1.68967e7 | −0.625372 | ||||||||
\(940\) | 3.15125e6 | − | 1.31171e6i | 0.116322 | − | 0.0484192i | ||||
\(941\) | −3.79442e7 | −1.39692 | −0.698460 | − | 0.715649i | \(-0.746131\pi\) | ||||
−0.698460 | + | 0.715649i | \(0.746131\pi\) | |||||||
\(942\) | 5.85715e6i | 0.215060i | ||||||||
\(943\) | 3.39213e7i | 1.24220i | ||||||||
\(944\) | 357627. | 0.0130617 | ||||||||
\(945\) | −1.62045e6 | − | 3.89298e6i | −0.0590278 | − | 0.141809i | ||||
\(946\) | −4.34687e6 | −0.157924 | ||||||||
\(947\) | − | 1.42196e7i | − | 0.515244i | −0.966246 | − | 0.257622i | \(-0.917061\pi\) | ||
0.966246 | − | 0.257622i | \(-0.0829389\pi\) | |||||||
\(948\) | − | 1.48550e6i | − | 0.0536849i | ||||||
\(949\) | 1.20119e7 | 0.432958 | ||||||||
\(950\) | −9.76979e6 | − | 9.70214e6i | −0.351218 | − | 0.348786i | ||||
\(951\) | −1.83821e7 | −0.659090 | ||||||||
\(952\) | 3.77447e7i | 1.34978i | ||||||||
\(953\) | 1.27436e7i | 0.454529i | 0.973833 | + | 0.227264i | \(0.0729782\pi\) | ||||
−0.973833 | + | 0.227264i | \(0.927022\pi\) | |||||||
\(954\) | −5.82030e6 | −0.207049 | ||||||||
\(955\) | 7.88523e6 | + | 1.89435e7i | 0.279773 | + | 0.672127i | ||||
\(956\) | −3.29751e7 | −1.16692 | ||||||||
\(957\) | 1.80513e6i | 0.0637130i | ||||||||
\(958\) | 2.57846e6i | 0.0907709i | ||||||||
\(959\) | −3.35114e7 | −1.17665 | ||||||||
\(960\) | −7.98861e6 | + | 3.32526e6i | −0.279765 | + | 0.116452i | ||||
\(961\) | −6.62771e6 | −0.231502 | ||||||||
\(962\) | 6.22937e6i | 0.217023i | ||||||||
\(963\) | − | 1.71433e7i | − | 0.595700i | ||||||
\(964\) | 3.00875e7 | 1.04278 | ||||||||
\(965\) | 1.23786e7 | − | 5.15259e6i | 0.427911 | − | 0.178118i | ||||
\(966\) | 7.76526e6 | 0.267740 | ||||||||
\(967\) | 4.44841e7i | 1.52981i | 0.644142 | + | 0.764906i | \(0.277215\pi\) | ||||
−0.644142 | + | 0.764906i | \(0.722785\pi\) | |||||||
\(968\) | − | 2.58301e6i | − | 0.0886008i | ||||||
\(969\) | −2.45666e7 | −0.840495 | ||||||||
\(970\) | −4.17785e6 | − | 1.00369e7i | −0.142568 | − | 0.342506i | ||||
\(971\) | −1.58495e7 | −0.539469 | −0.269734 | − | 0.962935i | \(-0.586936\pi\) | ||||
−0.269734 | + | 0.962935i | \(0.586936\pi\) | |||||||
\(972\) | − | 1.23184e6i | − | 0.0418204i | ||||||
\(973\) | − | 2.02730e7i | − | 0.686492i | ||||||
\(974\) | −1.03086e7 | −0.348177 | ||||||||
\(975\) | −7.09342e6 | + | 7.14288e6i | −0.238971 | + | 0.240637i | ||||
\(976\) | 287415. | 0.00965795 | ||||||||
\(977\) | − | 3.72698e7i | − | 1.24917i | −0.780958 | − | 0.624584i | \(-0.785269\pi\) | ||
0.780958 | − | 0.624584i | \(-0.214731\pi\) | |||||||
\(978\) | 4.63292e6i | 0.154885i | ||||||||
\(979\) | 1.34454e7 | 0.448350 | ||||||||
\(980\) | 2.73385e6 | + | 6.56781e6i | 0.0909306 | + | 0.218452i | ||||
\(981\) | 30029.9 | 0.000996279 | ||||||||
\(982\) | − | 1.60882e7i | − | 0.532390i | ||||||
\(983\) | − | 1.71461e7i | − | 0.565955i | −0.959127 | − | 0.282978i | \(-0.908678\pi\) | ||
0.959127 | − | 0.282978i | \(-0.0913222\pi\) | |||||||
\(984\) | −2.15577e7 | −0.709764 | ||||||||
\(985\) | −4.59304e7 | + | 1.91186e7i | −1.50838 | + | 0.627862i | ||||
\(986\) | −1.14385e7 | −0.374695 | ||||||||
\(987\) | − | 2.72574e6i | − | 0.0890619i | ||||||
\(988\) | − | 9.85740e6i | − | 0.321270i | ||||||
\(989\) | 2.68932e7 | 0.874281 | ||||||||
\(990\) | −1.68817e6 | + | 702700.i | −0.0547428 | + | 0.0227867i | ||||
\(991\) | 3.65029e7 | 1.18071 | 0.590354 | − | 0.807144i | \(-0.298988\pi\) | ||||
0.590354 | + | 0.807144i | \(0.298988\pi\) | |||||||
\(992\) | − | 2.77137e7i | − | 0.894159i | ||||||
\(993\) | 2.24076e7i | 0.721143i | ||||||||
\(994\) | 1.55120e6 | 0.0497969 | ||||||||
\(995\) | −52574.7 | − | 126305.i | −0.00168352 | − | 0.00404450i | ||||
\(996\) | 3.86197e6 | 0.123356 | ||||||||
\(997\) | 5.88370e6i | 0.187462i | 0.995598 | + | 0.0937309i | \(0.0298793\pi\) | ||||
−0.995598 | + | 0.0937309i | \(0.970121\pi\) | |||||||
\(998\) | − | 3.12975e7i | − | 0.994681i | ||||||
\(999\) | −3.80155e6 | −0.120517 |
(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 | 165.6.c.b.34.11 | ✓ | 26 | |
5.2 | odd | 4 | 825.6.a.v.1.9 | 13 | |||
5.3 | odd | 4 | 825.6.a.y.1.5 | 13 | |||
5.4 | even | 2 | inner | 165.6.c.b.34.16 | yes | 26 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.6.c.b.34.11 | ✓ | 26 | 1.1 | even | 1 | trivial | |
165.6.c.b.34.16 | yes | 26 | 5.4 | even | 2 | inner | |
825.6.a.v.1.9 | 13 | 5.2 | odd | 4 | |||
825.6.a.y.1.5 | 13 | 5.3 | odd | 4 |