Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 29.3 | ||
Character | \(\chi\) | \(=\) | 43.29 |
Dual form | 43.7.h.a.3.3 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.20719 | − | 10.8128i | −0.650899 | − | 1.35161i | −0.921298 | − | 0.388858i | \(-0.872870\pi\) |
0.270399 | − | 0.962748i | \(-0.412844\pi\) | |||||||
\(3\) | 3.59499 | − | 0.269407i | 0.133148 | − | 0.00997805i | −0.00798947 | − | 0.999968i | \(-0.502543\pi\) |
0.141137 | + | 0.989990i | \(0.454924\pi\) | |||||||
\(4\) | −49.8995 | + | 62.5720i | −0.779679 | + | 0.977687i | ||||
\(5\) | −53.9072 | − | 174.763i | −0.431257 | − | 1.39810i | −0.867125 | − | 0.498091i | \(-0.834035\pi\) |
0.435868 | − | 0.900011i | \(-0.356442\pi\) | |||||||
\(6\) | −21.6329 | − | 37.4692i | −0.100152 | − | 0.173469i | ||||
\(7\) | 85.2807 | + | 49.2368i | 0.248632 | + | 0.143548i | 0.619138 | − | 0.785283i | \(-0.287482\pi\) |
−0.370506 | + | 0.928830i | \(0.620816\pi\) | |||||||
\(8\) | 187.588 | + | 42.8158i | 0.366383 | + | 0.0836245i | ||||
\(9\) | −708.006 | + | 106.715i | −0.971202 | + | 0.146385i | ||||
\(10\) | −1608.98 | + | 1492.91i | −1.60898 | + | 1.49291i | ||||
\(11\) | −88.2039 | − | 110.604i | −0.0662689 | − | 0.0830985i | 0.747592 | − | 0.664158i | \(-0.231210\pi\) |
−0.813861 | + | 0.581059i | \(0.802638\pi\) | |||||||
\(12\) | −162.531 | + | 238.389i | −0.0940572 | + | 0.137957i | ||||
\(13\) | 46.5875 | + | 43.2269i | 0.0212050 | + | 0.0196754i | 0.690704 | − | 0.723137i | \(-0.257301\pi\) |
−0.669499 | + | 0.742813i | \(0.733491\pi\) | |||||||
\(14\) | 88.3173 | − | 1178.51i | 0.0321856 | − | 0.429487i | ||||
\(15\) | −240.878 | − | 613.747i | −0.0713713 | − | 0.181851i | ||||
\(16\) | 625.923 | + | 2742.35i | 0.152813 | + | 0.669519i | ||||
\(17\) | 4928.91 | + | 1520.37i | 1.00324 | + | 0.309458i | 0.752496 | − | 0.658596i | \(-0.228850\pi\) |
0.250741 | + | 0.968054i | \(0.419326\pi\) | |||||||
\(18\) | 4840.62 | + | 7099.88i | 0.830010 | + | 1.21740i | ||||
\(19\) | −571.191 | + | 3789.61i | −0.0832762 | + | 0.552501i | 0.907821 | + | 0.419359i | \(0.137745\pi\) |
−0.991097 | + | 0.133143i | \(0.957493\pi\) | |||||||
\(20\) | 13625.2 | + | 5347.49i | 1.70315 | + | 0.668436i | ||||
\(21\) | 319.848 | + | 154.031i | 0.0345371 | + | 0.0166322i | ||||
\(22\) | −736.651 | + | 1529.67i | −0.0691821 | + | 0.143658i | ||||
\(23\) | 629.593 | − | 1604.18i | 0.0517459 | − | 0.131846i | −0.902664 | − | 0.430347i | \(-0.858391\pi\) |
0.954409 | + | 0.298500i | \(0.0964864\pi\) | |||||||
\(24\) | 685.912 | + | 103.385i | 0.0496175 | + | 0.00747864i | ||||
\(25\) | −14726.0 | + | 10040.0i | −0.942467 | + | 0.642563i | ||||
\(26\) | 224.815 | − | 728.834i | 0.0127910 | − | 0.0414676i | ||||
\(27\) | −5078.73 | + | 1159.19i | −0.258026 | + | 0.0588928i | ||||
\(28\) | −7336.30 | + | 2879.29i | −0.334198 | + | 0.131163i | ||||
\(29\) | −24051.4 | − | 1802.40i | −0.986158 | − | 0.0739024i | −0.428124 | − | 0.903720i | \(-0.640825\pi\) |
−0.558035 | + | 0.829818i | \(0.688444\pi\) | |||||||
\(30\) | −5382.06 | + | 5800.48i | −0.199335 | + | 0.214833i | ||||
\(31\) | −11116.2 | − | 7578.90i | −0.373140 | − | 0.254402i | 0.362201 | − | 0.932100i | \(-0.382025\pi\) |
−0.735341 | + | 0.677698i | \(0.762978\pi\) | |||||||
\(32\) | 36021.1 | − | 28725.9i | 1.09928 | − | 0.876644i | ||||
\(33\) | −346.890 | − | 373.858i | −0.00965272 | − | 0.0104032i | ||||
\(34\) | −9226.28 | − | 61212.3i | −0.234741 | − | 1.55741i | ||||
\(35\) | 4007.52 | − | 17558.1i | 0.0934699 | − | 0.409518i | ||||
\(36\) | 28651.8 | − | 49626.4i | 0.614107 | − | 1.06367i | ||||
\(37\) | −67818.3 | + | 39154.9i | −1.33888 | + | 0.773003i | −0.986641 | − | 0.162908i | \(-0.947913\pi\) |
−0.352238 | + | 0.935910i | \(0.614579\pi\) | |||||||
\(38\) | 43950.7 | − | 13557.0i | 0.800969 | − | 0.247066i | ||||
\(39\) | 179.127 | + | 142.849i | 0.00301973 | + | 0.00240815i | ||||
\(40\) | −2629.74 | − | 35091.5i | −0.0410897 | − | 0.548304i | ||||
\(41\) | −59704.4 | + | 28752.1i | −0.866272 | + | 0.417175i | −0.813592 | − | 0.581437i | \(-0.802491\pi\) |
−0.0526807 | + | 0.998611i | \(0.516777\pi\) | |||||||
\(42\) | − | 4260.53i | − | 0.0575064i | ||||||
\(43\) | −73686.3 | − | 29861.3i | −0.926790 | − | 0.375581i | ||||
\(44\) | 11322.0 | 0.132913 | ||||||||
\(45\) | 56816.4 | + | 117980.i | 0.623499 | + | 1.29471i | ||||
\(46\) | −20624.1 | + | 1545.56i | −0.211886 | + | 0.0158787i | ||||
\(47\) | 72726.1 | − | 91195.7i | 0.700482 | − | 0.878376i | −0.296578 | − | 0.955009i | \(-0.595845\pi\) |
0.997059 | + | 0.0766323i | \(0.0244168\pi\) | |||||||
\(48\) | 2989.00 | + | 9690.09i | 0.0270273 | + | 0.0876202i | ||||
\(49\) | −53976.0 | − | 93489.1i | −0.458788 | − | 0.794644i | ||||
\(50\) | 185243. | + | 106950.i | 1.48194 | + | 0.855600i | ||||
\(51\) | 18129.0 | + | 4137.82i | 0.136667 | + | 0.0311933i | ||||
\(52\) | −5029.48 | + | 758.072i | −0.0357695 | + | 0.00539139i | ||||
\(53\) | 87858.9 | − | 81521.1i | 0.590144 | − | 0.547574i | −0.327564 | − | 0.944829i | \(-0.606228\pi\) |
0.917708 | + | 0.397255i | \(0.130037\pi\) | |||||||
\(54\) | 38980.0 | + | 48879.4i | 0.247549 | + | 0.310417i | ||||
\(55\) | −14574.7 | + | 21377.1i | −0.0876013 | + | 0.128487i | ||||
\(56\) | 13889.5 | + | 12887.6i | 0.0790903 | + | 0.0733851i | ||||
\(57\) | −1032.48 | + | 13777.5i | −0.00557515 | + | 0.0743953i | ||||
\(58\) | 105751. | + | 269450.i | 0.542003 | + | 1.38100i | ||||
\(59\) | −65129.3 | − | 285350.i | −0.317117 | − | 1.38938i | −0.842583 | − | 0.538567i | \(-0.818966\pi\) |
0.525465 | − | 0.850815i | \(-0.323891\pi\) | |||||||
\(60\) | 50423.1 | + | 15553.5i | 0.233440 | + | 0.0720067i | ||||
\(61\) | 105451. | + | 154668.i | 0.464580 | + | 0.681414i | 0.985011 | − | 0.172490i | \(-0.0551811\pi\) |
−0.520431 | + | 0.853904i | \(0.674229\pi\) | |||||||
\(62\) | −24065.3 | + | 159663.i | −0.100975 | + | 0.669928i | ||||
\(63\) | −65633.5 | − | 25759.3i | −0.262485 | − | 0.103018i | ||||
\(64\) | −335981. | − | 161800.i | −1.28167 | − | 0.617218i | ||||
\(65\) | 5043.04 | − | 10472.0i | 0.0183634 | − | 0.0381320i | ||||
\(66\) | −2236.15 | + | 5697.62i | −0.00777802 | + | 0.0198181i | ||||
\(67\) | −98726.1 | − | 14880.6i | −0.328252 | − | 0.0494761i | −0.0171512 | − | 0.999853i | \(-0.505460\pi\) |
−0.311101 | + | 0.950377i | \(0.600698\pi\) | |||||||
\(68\) | −341082. | + | 232546.i | −1.08476 | + | 0.739574i | ||||
\(69\) | 1831.20 | − | 5936.62i | 0.00557429 | − | 0.0180714i | ||||
\(70\) | −210721. | + | 48095.7i | −0.614347 | + | 0.140221i | ||||
\(71\) | −470909. | + | 184818.i | −1.31571 | + | 0.516380i | −0.916337 | − | 0.400407i | \(-0.868869\pi\) |
−0.399377 | + | 0.916787i | \(0.630774\pi\) | |||||||
\(72\) | −137383. | − | 10295.4i | −0.368073 | − | 0.0275833i | ||||
\(73\) | −243892. | + | 262853.i | −0.626944 | + | 0.675685i | −0.964031 | − | 0.265788i | \(-0.914368\pi\) |
0.337087 | + | 0.941473i | \(0.390558\pi\) | |||||||
\(74\) | 776519. | + | 529422.i | 1.91627 | + | 1.30649i | ||||
\(75\) | −50235.1 | + | 40061.2i | −0.119076 | + | 0.0949598i | ||||
\(76\) | −208621. | − | 224840.i | −0.475245 | − | 0.512192i | ||||
\(77\) | −2076.29 | − | 13775.3i | −0.00454795 | − | 0.0301737i | ||||
\(78\) | 611.856 | − | 2680.72i | 0.00128933 | − | 0.00564894i | ||||
\(79\) | 383093. | − | 663537.i | 0.777004 | − | 1.34581i | −0.156657 | − | 0.987653i | \(-0.550072\pi\) |
0.933661 | − | 0.358157i | \(-0.116595\pi\) | |||||||
\(80\) | 445519. | − | 257220.i | 0.870154 | − | 0.502384i | ||||
\(81\) | 480831. | − | 148317.i | 0.904769 | − | 0.279084i | ||||
\(82\) | 621784. | + | 495856.i | 1.12771 | + | 0.899320i | ||||
\(83\) | 17596.6 | + | 234811.i | 0.0307748 | + | 0.410661i | 0.991223 | + | 0.132202i | \(0.0422046\pi\) |
−0.960448 | + | 0.278459i | \(0.910176\pi\) | |||||||
\(84\) | −25598.2 | + | 12327.5i | −0.0431889 | + | 0.0207987i | ||||
\(85\) | − | 943348.i | − | 1.53608i | ||||||
\(86\) | 60812.6 | + | 952252.i | 0.0956089 | + | 1.49712i | ||||
\(87\) | −86950.2 | −0.132042 | ||||||||
\(88\) | −11810.4 | − | 24524.5i | −0.0173307 | − | 0.0359876i | ||||
\(89\) | −425931. | + | 31919.1i | −0.604183 | + | 0.0452773i | −0.373310 | − | 0.927707i | \(-0.621777\pi\) |
−0.230873 | + | 0.972984i | \(0.574158\pi\) | |||||||
\(90\) | 979850. | − | 1.22869e6i | 1.34410 | − | 1.68545i | ||||
\(91\) | 1844.66 | + | 5980.23i | 0.00244789 | + | 0.00793586i | ||||
\(92\) | 68960.1 | + | 119442.i | 0.0885594 | + | 0.153389i | ||||
\(93\) | −42004.5 | − | 24251.3i | −0.0522212 | − | 0.0301499i | ||||
\(94\) | −1.36478e6 | − | 311503.i | −1.64316 | − | 0.375041i | ||||
\(95\) | 693073. | − | 104464.i | 0.808367 | − | 0.121842i | ||||
\(96\) | 121756. | − | 112974.i | 0.137619 | − | 0.127692i | ||||
\(97\) | −104598. | − | 131162.i | −0.114607 | − | 0.143712i | 0.721219 | − | 0.692707i | \(-0.243582\pi\) |
−0.835826 | + | 0.548995i | \(0.815011\pi\) | |||||||
\(98\) | −729820. | + | 1.07045e6i | −0.775421 | + | 1.13733i | ||||
\(99\) | 74252.0 | + | 68895.8i | 0.0765249 | + | 0.0710047i | ||||
\(100\) | 106596. | − | 1.42243e6i | 0.106596 | − | 1.42243i | ||||
\(101\) | 187245. | + | 477091.i | 0.181738 | + | 0.463060i | 0.992489 | − | 0.122330i | \(-0.0390366\pi\) |
−0.810752 | + | 0.585390i | \(0.800941\pi\) | |||||||
\(102\) | −49659.4 | − | 217572.i | −0.0467952 | − | 0.205023i | ||||
\(103\) | −180612. | − | 55711.5i | −0.165286 | − | 0.0509839i | 0.211008 | − | 0.977484i | \(-0.432325\pi\) |
−0.376294 | + | 0.926500i | \(0.622802\pi\) | |||||||
\(104\) | 6888.46 | + | 10103.5i | 0.00612382 | + | 0.00898199i | ||||
\(105\) | 9676.72 | − | 64200.8i | 0.00835911 | − | 0.0554591i | ||||
\(106\) | −1.33897e6 | − | 525508.i | −1.12423 | − | 0.441227i | ||||
\(107\) | −344123. | − | 165721.i | −0.280907 | − | 0.135278i | 0.288126 | − | 0.957593i | \(-0.406968\pi\) |
−0.569033 | + | 0.822315i | \(0.692682\pi\) | |||||||
\(108\) | 180893. | − | 375629.i | 0.143599 | − | 0.298186i | ||||
\(109\) | 216802. | − | 552402.i | 0.167411 | − | 0.426556i | −0.822406 | − | 0.568901i | \(-0.807369\pi\) |
0.989817 | + | 0.142345i | \(0.0454642\pi\) | |||||||
\(110\) | 307040. | + | 46278.9i | 0.230684 | + | 0.0347700i | ||||
\(111\) | −233257. | + | 159032.i | −0.170556 | + | 0.116283i | ||||
\(112\) | −81645.4 | + | 264688.i | −0.0581136 | + | 0.188400i | ||||
\(113\) | −323464. | + | 73828.5i | −0.224177 | + | 0.0511669i | −0.333134 | − | 0.942880i | \(-0.608106\pi\) |
0.108957 | + | 0.994046i | \(0.465249\pi\) | |||||||
\(114\) | 154350. | − | 60578.0i | 0.104182 | − | 0.0408884i | ||||
\(115\) | −314290. | − | 23552.8i | −0.206651 | − | 0.0154863i | ||||
\(116\) | 1.31293e6 | − | 1.41501e6i | 0.841141 | − | 0.906534i | ||||
\(117\) | −37597.2 | − | 25633.3i | −0.0234746 | − | 0.0160047i | ||||
\(118\) | −2.74630e6 | + | 2.19011e6i | −1.67149 | + | 1.33297i | ||||
\(119\) | 345482. | + | 372341.i | 0.205015 | + | 0.220953i | ||||
\(120\) | −18907.8 | − | 125445.i | −0.0109420 | − | 0.0725955i | ||||
\(121\) | 389756. | − | 1.70763e6i | 0.220007 | − | 0.963914i | ||||
\(122\) | 1.12330e6 | − | 1.94561e6i | 0.618608 | − | 1.07146i | ||||
\(123\) | −206891. | + | 119448.i | −0.111180 | + | 0.0641896i | ||||
\(124\) | 1.02892e6 | − | 317380.i | 0.539655 | − | 0.166462i | ||||
\(125\) | 314285. | + | 250634.i | 0.160914 | + | 0.128325i | ||||
\(126\) | 63235.5 | + | 843819.i | 0.0316118 | + | 0.421830i | ||||
\(127\) | −3.34886e6 | + | 1.61273e6i | −1.63488 | + | 0.787318i | −0.634991 | + | 0.772519i | \(0.718996\pi\) |
−0.999891 | + | 0.0147982i | \(0.995289\pi\) | |||||||
\(128\) | 1.52678e6i | 0.728027i | ||||||||
\(129\) | −272946. | − | 87499.6i | −0.127148 | − | 0.0407602i | ||||
\(130\) | −139492. | −0.0634921 | ||||||||
\(131\) | 1.82300e6 | + | 3.78551e6i | 0.810912 | + | 1.68388i | 0.726214 | + | 0.687469i | \(0.241278\pi\) |
0.0846976 | + | 0.996407i | \(0.473008\pi\) | |||||||
\(132\) | 40702.6 | − | 3050.24i | 0.0176970 | − | 0.00132621i | ||||
\(133\) | −235300. | + | 295056.i | −0.100015 | + | 0.125415i | ||||
\(134\) | 353185. | + | 1.14500e6i | 0.146787 | + | 0.475872i | ||||
\(135\) | 476363. | + | 825084.i | 0.193614 | + | 0.335349i | ||||
\(136\) | 859508. | + | 496237.i | 0.341691 | + | 0.197275i | ||||
\(137\) | −1.66067e6 | − | 379038.i | −0.645837 | − | 0.147408i | −0.112958 | − | 0.993600i | \(-0.536033\pi\) |
−0.532878 | + | 0.846192i | \(0.678890\pi\) | |||||||
\(138\) | −73727.2 | + | 11112.6i | −0.0280537 | + | 0.00422842i | ||||
\(139\) | 1.30213e6 | − | 1.20820e6i | 0.484852 | − | 0.449877i | −0.399476 | − | 0.916744i | \(-0.630808\pi\) |
0.884327 | + | 0.466867i | \(0.154617\pi\) | |||||||
\(140\) | 898671. | + | 1.12690e6i | 0.327504 | + | 0.410677i | ||||
\(141\) | 236881. | − | 347441.i | 0.0845031 | − | 0.123943i | ||||
\(142\) | 4.45052e6 | + | 4.12948e6i | 1.55434 | + | 1.44222i | ||||
\(143\) | 671.875 | − | 8965.54i | 0.000229763 | − | 0.00306597i | ||||
\(144\) | −735807. | − | 1.87481e6i | −0.246420 | − | 0.627869i | ||||
\(145\) | 981550. | + | 4.30045e6i | 0.321965 | + | 1.41062i | ||||
\(146\) | 4.11218e6 | + | 1.26844e6i | 1.32134 | + | 0.407579i | ||||
\(147\) | −219230. | − | 321551.i | −0.0690156 | − | 0.101227i | ||||
\(148\) | 934097. | − | 6.19733e6i | 0.288142 | − | 1.91170i | ||||
\(149\) | 2.36146e6 | + | 926803.i | 0.713873 | + | 0.280175i | 0.694353 | − | 0.719635i | \(-0.255691\pi\) |
0.0195206 | + | 0.999809i | \(0.493786\pi\) | |||||||
\(150\) | 694760. | + | 334579.i | 0.205855 | + | 0.0991344i | ||||
\(151\) | −697881. | + | 1.44917e6i | −0.202699 | + | 0.420908i | −0.977394 | − | 0.211427i | \(-0.932189\pi\) |
0.774695 | + | 0.632335i | \(0.217903\pi\) | |||||||
\(152\) | −269404. | + | 686429.i | −0.0767136 | + | 0.195463i | ||||
\(153\) | −3.65194e6 | − | 550442.i | −1.01965 | − | 0.153687i | ||||
\(154\) | −138138. | + | 94181.1i | −0.0378226 | + | 0.0257870i | ||||
\(155\) | −725266. | + | 2.35126e6i | −0.194761 | + | 0.631400i | ||||
\(156\) | −17876.7 | + | 4080.24i | −0.00470884 | + | 0.00107476i | ||||
\(157\) | 5.49529e6 | − | 2.15674e6i | 1.42001 | − | 0.557313i | 0.473734 | − | 0.880668i | \(-0.342906\pi\) |
0.946278 | + | 0.323355i | \(0.104811\pi\) | |||||||
\(158\) | −9.16956e6 | − | 687164.i | −2.32476 | − | 0.174216i | ||||
\(159\) | 293889. | − | 316737.i | 0.0731127 | − | 0.0787967i | ||||
\(160\) | −6.96200e6 | − | 4.74661e6i | −1.69971 | − | 1.15884i | ||||
\(161\) | 132677. | − | 105806.i | 0.0317919 | − | 0.0253532i | ||||
\(162\) | −4.10751e6 | − | 4.42684e6i | −0.966125 | − | 1.04124i | ||||
\(163\) | 630112. | + | 4.18052e6i | 0.145497 | + | 0.965312i | 0.935784 | + | 0.352574i | \(0.114694\pi\) |
−0.790286 | + | 0.612738i | \(0.790068\pi\) | |||||||
\(164\) | 1.18014e6 | − | 5.17053e6i | 0.267548 | − | 1.17221i | ||||
\(165\) | −46636.6 | + | 80777.0i | −0.0103819 | + | 0.0179819i | ||||
\(166\) | 2.44734e6 | − | 1.41297e6i | 0.535020 | − | 0.308894i | ||||
\(167\) | 752720. | − | 232183.i | 0.161616 | − | 0.0498519i | −0.212891 | − | 0.977076i | \(-0.568288\pi\) |
0.374507 | + | 0.927224i | \(0.377812\pi\) | |||||||
\(168\) | 53404.7 | + | 42588.8i | 0.0112629 | + | 0.00898190i | ||||
\(169\) | −360406. | − | 4.80928e6i | −0.0746676 | − | 0.996369i | ||||
\(170\) | −1.02003e7 | + | 4.91219e6i | −2.07618 | + | 0.999836i | ||||
\(171\) | − | 2.74402e6i | − | 0.548781i | ||||||
\(172\) | 5.54539e6 | − | 3.12063e6i | 1.08980 | − | 0.613277i | ||||
\(173\) | 214668. | 0.0414599 | 0.0207299 | − | 0.999785i | \(-0.493401\pi\) | ||||
0.0207299 | + | 0.999785i | \(0.493401\pi\) | |||||||
\(174\) | 452766. | + | 940179.i | 0.0859462 | + | 0.178469i | ||||
\(175\) | −1.75019e6 | + | 131158.i | −0.326565 | + | 0.0244727i | ||||
\(176\) | 248106. | − | 311116.i | 0.0455093 | − | 0.0570668i | ||||
\(177\) | −311014. | − | 1.00828e6i | −0.0560868 | − | 0.181829i | ||||
\(178\) | 2.56304e6 | + | 4.43931e6i | 0.454460 | + | 0.787147i | ||||
\(179\) | −8.24901e6 | − | 4.76257e6i | −1.43828 | − | 0.830390i | −0.440547 | − | 0.897729i | \(-0.645216\pi\) |
−0.997730 | + | 0.0673395i | \(0.978549\pi\) | |||||||
\(180\) | −1.02174e7 | − | 2.33205e6i | −1.75195 | − | 0.399871i | ||||
\(181\) | 1.03521e7 | − | 1.56033e6i | 1.74579 | − | 0.263136i | 0.802872 | − | 0.596152i | \(-0.203304\pi\) |
0.942921 | + | 0.333016i | \(0.108066\pi\) | |||||||
\(182\) | 55057.9 | − | 51086.2i | 0.00913283 | − | 0.00847402i | ||||
\(183\) | 420764. | + | 527621.i | 0.0686570 | + | 0.0860932i | ||||
\(184\) | 186788. | − | 273968.i | 0.0299844 | − | 0.0439791i | ||||
\(185\) | 1.04987e7 | + | 9.74138e6i | 1.65814 | + | 1.53853i | ||||
\(186\) | −43500.1 | + | 580469.i | −0.00676008 | + | 0.0902070i | ||||
\(187\) | −266590. | − | 679260.i | −0.0407679 | − | 0.103875i | ||||
\(188\) | 2.07730e6 | + | 9.10123e6i | 0.312626 | + | 1.36970i | ||||
\(189\) | −490192. | − | 151204.i | −0.0726074 | − | 0.0223964i | ||||
\(190\) | −4.73852e6 | − | 6.95013e6i | −0.690847 | − | 1.01329i | ||||
\(191\) | 1.96382e6 | − | 1.30291e7i | 0.281840 | − | 1.86989i | −0.181056 | − | 0.983473i | \(-0.557951\pi\) |
0.462895 | − | 0.886413i | \(-0.346811\pi\) | |||||||
\(192\) | −1.25144e6 | − | 491154.i | −0.176810 | − | 0.0693927i | ||||
\(193\) | −6.74335e6 | − | 3.24743e6i | −0.938003 | − | 0.451718i | −0.0985384 | − | 0.995133i | \(-0.531417\pi\) |
−0.839464 | + | 0.543415i | \(0.817131\pi\) | |||||||
\(194\) | −873574. | + | 1.81399e6i | −0.119645 | + | 0.248445i | ||||
\(195\) | 15308.5 | − | 39005.3i | 0.00206456 | − | 0.00526042i | ||||
\(196\) | 8.54317e6 | + | 1.28768e6i | 1.13462 | + | 0.171017i | ||||
\(197\) | 7.27506e6 | − | 4.96005e6i | 0.951564 | − | 0.648765i | 0.0152331 | − | 0.999884i | \(-0.495151\pi\) |
0.936331 | + | 0.351119i | \(0.114199\pi\) | |||||||
\(198\) | 358315. | − | 1.16163e6i | 0.0461604 | − | 0.149648i | ||||
\(199\) | 5.32564e6 | − | 1.21554e6i | 0.675792 | − | 0.154245i | 0.129167 | − | 0.991623i | \(-0.458770\pi\) |
0.546625 | + | 0.837378i | \(0.315913\pi\) | |||||||
\(200\) | −3.19230e6 | + | 1.25289e6i | −0.399038 | + | 0.156611i | ||||
\(201\) | −358928. | − | 26898.0i | −0.0441997 | − | 0.00331231i | ||||
\(202\) | 4.18370e6 | − | 4.50895e6i | 0.507582 | − | 0.547043i | ||||
\(203\) | −1.96238e6 | − | 1.33793e6i | −0.234582 | − | 0.159935i | ||||
\(204\) | −1.16354e6 | + | 927890.i | −0.137053 | + | 0.109296i | ||||
\(205\) | 8.24329e6 | + | 8.88415e6i | 0.956839 | + | 1.03123i | ||||
\(206\) | 338083. | + | 2.24303e6i | 0.0386742 | + | 0.256587i | ||||
\(207\) | −274566. | + | 1.20295e6i | −0.0309554 | + | 0.135624i | ||||
\(208\) | −89383.0 | + | 154816.i | −0.00993264 | + | 0.0172038i | ||||
\(209\) | 469527. | − | 271082.i | 0.0514307 | − | 0.0296935i | ||||
\(210\) | −744583. | + | 229673.i | −0.0803998 | + | 0.0248001i | ||||
\(211\) | 8.29779e6 | + | 6.61727e6i | 0.883314 | + | 0.704419i | 0.956135 | − | 0.292926i | \(-0.0946288\pi\) |
−0.0728212 | + | 0.997345i | \(0.523200\pi\) | |||||||
\(212\) | 716825. | + | 9.56536e6i | 0.0752325 | + | 1.00391i | ||||
\(213\) | −1.64312e6 | + | 791285.i | −0.170032 | + | 0.0818831i | ||||
\(214\) | 4.58389e6i | 0.467727i | ||||||||
\(215\) | −1.24643e6 | + | 1.44873e7i | −0.125416 | + | 1.45772i | ||||
\(216\) | −1.00234e6 | −0.0994613 | ||||||||
\(217\) | −574837. | − | 1.19366e6i | −0.0562555 | − | 0.116816i | ||||
\(218\) | −7.10197e6 | + | 532219.i | −0.685503 | + | 0.0513713i | ||||
\(219\) | −805975. | + | 1.01066e6i | −0.0767342 | + | 0.0962217i | ||||
\(220\) | −610339. | − | 1.97867e6i | −0.0573196 | − | 0.185826i | ||||
\(221\) | 163905. | + | 283891.i | 0.0151850 | + | 0.0263012i | ||||
\(222\) | 2.93421e6 | + | 1.69407e6i | 0.268183 | + | 0.154836i | ||||
\(223\) | −1.47004e7 | − | 3.35527e6i | −1.32561 | − | 0.302561i | −0.499618 | − | 0.866246i | \(-0.666526\pi\) |
−0.825990 | + | 0.563685i | \(0.809383\pi\) | |||||||
\(224\) | 4.48627e6 | − | 676197.i | 0.399155 | − | 0.0601629i | ||||
\(225\) | 9.35471e6 | − | 8.67990e6i | 0.821264 | − | 0.762022i | ||||
\(226\) | 2.48264e6 | + | 3.11313e6i | 0.215074 | + | 0.269694i | ||||
\(227\) | −4.17613e6 | + | 6.12526e6i | −0.357023 | + | 0.523657i | −0.962167 | − | 0.272459i | \(-0.912163\pi\) |
0.605144 | + | 0.796116i | \(0.293115\pi\) | |||||||
\(228\) | −810564. | − | 752093.i | −0.0683884 | − | 0.0634552i | ||||
\(229\) | −1.12198e6 | + | 1.49717e7i | −0.0934280 | + | 1.24671i | 0.731646 | + | 0.681685i | \(0.238753\pi\) |
−0.825074 | + | 0.565025i | \(0.808866\pi\) | |||||||
\(230\) | 1.38190e6 | + | 3.52101e6i | 0.113577 | + | 0.289390i | ||||
\(231\) | −11175.4 | − | 48962.6i | −0.000906623 | − | 0.00397218i | ||||
\(232\) | −4.43459e6 | − | 1.36789e6i | −0.355132 | − | 0.109544i | ||||
\(233\) | −7.16824e6 | − | 1.05139e7i | −0.566689 | − | 0.831180i | 0.430767 | − | 0.902463i | \(-0.358243\pi\) |
−0.997456 | + | 0.0712833i | \(0.977291\pi\) | |||||||
\(234\) | −81393.4 | + | 540010.i | −0.00635246 | + | 0.0421458i | ||||
\(235\) | −1.98581e7 | − | 7.79372e6i | −1.53015 | − | 0.600539i | ||||
\(236\) | 2.11048e7 | + | 1.01635e7i | 1.60563 | + | 0.773231i | ||||
\(237\) | 1.19845e6 | − | 2.48862e6i | 0.0900278 | − | 0.186945i | ||||
\(238\) | 2.22708e6 | − | 5.67450e6i | 0.165198 | − | 0.420917i | ||||
\(239\) | −1.81883e7 | − | 2.74144e6i | −1.33229 | − | 0.200810i | −0.555996 | − | 0.831185i | \(-0.687663\pi\) |
−0.776291 | + | 0.630375i | \(0.782901\pi\) | |||||||
\(240\) | 1.53234e6 | − | 1.04473e6i | 0.110846 | − | 0.0755737i | ||||
\(241\) | 561046. | − | 1.81887e6i | 0.0400818 | − | 0.129942i | −0.933321 | − | 0.359044i | \(-0.883103\pi\) |
0.973402 | + | 0.229102i | \(0.0735790\pi\) | |||||||
\(242\) | −2.04939e7 | + | 4.67760e6i | −1.44603 | + | 0.330048i | ||||
\(243\) | 5.22372e6 | − | 2.05016e6i | 0.364050 | − | 0.142879i | ||||
\(244\) | −1.49398e7 | − | 1.11959e6i | −1.02843 | − | 0.0770704i | ||||
\(245\) | −1.34287e7 | + | 1.44727e7i | −0.913138 | + | 0.984129i | ||||
\(246\) | 2.36890e6 | + | 1.61509e6i | 0.159126 | + | 0.108490i | ||||
\(247\) | −190423. | + | 151857.i | −0.0126366 | + | 0.0100773i | ||||
\(248\) | −1.76077e6 | − | 1.89766e6i | −0.115438 | − | 0.124412i | ||||
\(249\) | 126519. | + | 839401.i | 0.00819519 | + | 0.0543715i | ||||
\(250\) | 1.07353e6 | − | 4.70342e6i | 0.0687056 | − | 0.301019i | ||||
\(251\) | 8.22063e6 | − | 1.42386e7i | 0.519857 | − | 0.900419i | −0.479876 | − | 0.877336i | \(-0.659318\pi\) |
0.999734 | − | 0.0230831i | \(-0.00734824\pi\) | |||||||
\(252\) | 4.88689e6 | − | 2.82145e6i | 0.305373 | − | 0.176307i | ||||
\(253\) | −232961. | + | 71859.0i | −0.0143854 | + | 0.00443731i | ||||
\(254\) | 3.48764e7 | + | 2.78130e7i | 2.12829 | + | 1.69725i | ||||
\(255\) | −254145. | − | 3.39133e6i | −0.0153271 | − | 0.204526i | ||||
\(256\) | −4.99391e6 | + | 2.40494e6i | −0.297660 | + | 0.143346i | ||||
\(257\) | − | 2.46208e7i | − | 1.45045i | −0.688512 | − | 0.725225i | \(-0.741736\pi\) | ||
0.688512 | − | 0.725225i | \(-0.258264\pi\) | |||||||
\(258\) | 475164. | + | 3.40695e6i | 0.0276684 | + | 0.198384i | ||||
\(259\) | −7.71145e6 | −0.443850 | ||||||||
\(260\) | 403608. | + | 838100.i | 0.0229636 | + | 0.0476843i | ||||
\(261\) | 1.72209e7 | − | 1.29053e6i | 0.968577 | − | 0.0725848i | ||||
\(262\) | 3.14394e7 | − | 3.94237e7i | 1.74811 | − | 2.19207i | ||||
\(263\) | 678847. | + | 2.20077e6i | 0.0373168 | + | 0.120978i | 0.972315 | − | 0.233675i | \(-0.0750752\pi\) |
−0.934998 | + | 0.354653i | \(0.884599\pi\) | |||||||
\(264\) | −49065.4 | − | 84983.7i | −0.00266663 | − | 0.00461874i | ||||
\(265\) | −1.89831e7 | − | 1.09599e7i | −1.02007 | − | 0.588936i | ||||
\(266\) | 4.41565e6 | + | 1.00784e6i | 0.234612 | + | 0.0535486i | ||||
\(267\) | −1.52262e6 | + | 229498.i | −0.0799939 | + | 0.0120571i | ||||
\(268\) | 5.85749e6 | − | 5.43496e6i | 0.304304 | − | 0.282352i | ||||
\(269\) | 1.05495e7 | + | 1.32287e7i | 0.541970 | + | 0.679609i | 0.975111 | − | 0.221717i | \(-0.0711662\pi\) |
−0.433141 | + | 0.901326i | \(0.642595\pi\) | |||||||
\(270\) | 6.44100e6 | − | 9.44721e6i | 0.327237 | − | 0.479968i | ||||
\(271\) | 7.06941e6 | + | 6.55945e6i | 0.355202 | + | 0.329579i | 0.837509 | − | 0.546423i | \(-0.184011\pi\) |
−0.482308 | + | 0.876002i | \(0.660201\pi\) | |||||||
\(272\) | −1.08426e6 | + | 1.44684e7i | −0.0538798 | + | 0.718976i | ||||
\(273\) | 8242.64 | + | 21001.9i | 0.000405115 | + | 0.00103222i | ||||
\(274\) | 4.54897e6 | + | 1.99303e7i | 0.221137 | + | 0.968864i | ||||
\(275\) | 2.40937e6 | + | 743191.i | 0.115852 | + | 0.0357357i | ||||
\(276\) | 280090. | + | 410816.i | 0.0133220 | + | 0.0195398i | ||||
\(277\) | −5.63904e6 | + | 3.74126e7i | −0.265318 | + | 1.76027i | 0.318064 | + | 0.948069i | \(0.396967\pi\) |
−0.583381 | + | 0.812198i | \(0.698271\pi\) | |||||||
\(278\) | −1.98445e7 | − | 7.78838e6i | −0.923646 | − | 0.362504i | ||||
\(279\) | 8.67913e6 | + | 4.17965e6i | 0.399635 | + | 0.192454i | ||||
\(280\) | 1.50353e6 | − | 3.12211e6i | 0.0684916 | − | 0.142224i | ||||
\(281\) | 1.00978e7 | − | 2.57288e7i | 0.455102 | − | 1.15958i | −0.500714 | − | 0.865613i | \(-0.666929\pi\) |
0.955816 | − | 0.293967i | \(-0.0949757\pi\) | |||||||
\(282\) | −4.99031e6 | − | 752168.i | −0.222526 | − | 0.0335403i | ||||
\(283\) | −3.24835e7 | + | 2.21469e7i | −1.43319 | + | 0.977132i | −0.436179 | + | 0.899860i | \(0.643669\pi\) |
−0.997010 | + | 0.0772718i | \(0.975379\pi\) | |||||||
\(284\) | 1.19337e7 | − | 3.86880e7i | 0.520977 | − | 1.68897i | ||||
\(285\) | 2.46345e6 | − | 562266.i | 0.106416 | − | 0.0242889i | ||||
\(286\) | −100442. | + | 39420.4i | −0.00429354 | + | 0.00168509i | ||||
\(287\) | −6.50729e6 | − | 487654.i | −0.275267 | − | 0.0206284i | ||||
\(288\) | −2.24377e7 | + | 2.41821e7i | −0.939292 | + | 1.01232i | ||||
\(289\) | 2.03920e6 | + | 1.39030e6i | 0.0844824 | + | 0.0575991i | ||||
\(290\) | 4.13890e7 | − | 3.30066e7i | 1.69704 | − | 1.35334i | ||||
\(291\) | −411367. | − | 443348.i | −0.0166936 | − | 0.0179914i | ||||
\(292\) | −4.27715e6 | − | 2.83770e7i | −0.171793 | − | 1.13977i | ||||
\(293\) | 7.96038e6 | − | 3.48767e7i | 0.316469 | − | 1.38654i | −0.527230 | − | 0.849723i | \(-0.676769\pi\) |
0.843698 | − | 0.536817i | \(-0.180374\pi\) | |||||||
\(294\) | −2.33531e6 | + | 4.04488e6i | −0.0918973 | + | 0.159171i | ||||
\(295\) | −4.63576e7 | + | 2.67646e7i | −1.80574 | + | 1.04254i | ||||
\(296\) | −1.43983e7 | + | 4.44130e6i | −0.555185 | + | 0.171252i | ||||
\(297\) | 576175. | + | 459484.i | 0.0219930 | + | 0.0175388i | ||||
\(298\) | −2.27518e6 | − | 3.03601e7i | −0.0859738 | − | 1.14724i | ||||
\(299\) | 98674.6 | − | 47519.2i | 0.00369141 | − | 0.00177769i | ||||
\(300\) | − | 5.14234e6i | − | 0.190457i | ||||||
\(301\) | −4.81374e6 | − | 6.17467e6i | −0.176515 | − | 0.226420i | ||||
\(302\) | 1.93036e7 | 0.700838 | ||||||||
\(303\) | 801674. | + | 1.66469e6i | 0.0288184 | + | 0.0598420i | ||||
\(304\) | −1.07499e7 | + | 805597.i | −0.382636 | + | 0.0286746i | ||||
\(305\) | 2.13456e7 | − | 2.67666e7i | 0.752333 | − | 0.943395i | ||||
\(306\) | 1.30645e7 | + | 4.23541e7i | 0.455963 | + | 1.47819i | ||||
\(307\) | −2.28711e7 | − | 3.96139e7i | −0.790446 | − | 1.36909i | −0.925691 | − | 0.378280i | \(-0.876516\pi\) |
0.135245 | − | 0.990812i | \(-0.456818\pi\) | |||||||
\(308\) | 965551. | + | 557461.i | 0.0330463 | + | 0.0190793i | ||||
\(309\) | −664308. | − | 151624.i | −0.0225162 | − | 0.00513917i | ||||
\(310\) | 2.92004e7 | − | 4.40125e6i | 0.980174 | − | 0.147738i | ||||
\(311\) | −7.91300e6 | + | 7.34219e6i | −0.263063 | + | 0.244087i | −0.800666 | − | 0.599111i | \(-0.795521\pi\) |
0.537602 | + | 0.843198i | \(0.319330\pi\) | |||||||
\(312\) | 27485.9 | + | 34466.3i | 0.000904996 | + | 0.00113483i | ||||
\(313\) | −5.19620e6 | + | 7.62143e6i | −0.169455 | + | 0.248544i | −0.901567 | − | 0.432640i | \(-0.857582\pi\) |
0.732112 | + | 0.681184i | \(0.238535\pi\) | |||||||
\(314\) | −5.19356e7 | − | 4.81892e7i | −1.67755 | − | 1.55654i | ||||
\(315\) | −963642. | + | 1.28589e7i | −0.0308307 | + | 0.411408i | ||||
\(316\) | 2.24027e7 | + | 5.70810e7i | 0.709967 | + | 1.80897i | ||||
\(317\) | −2.09074e6 | − | 9.16013e6i | −0.0656330 | − | 0.287557i | 0.931451 | − | 0.363866i | \(-0.118543\pi\) |
−0.997084 | + | 0.0763093i | \(0.975686\pi\) | |||||||
\(318\) | −4.95517e6 | − | 1.52847e6i | −0.154091 | − | 0.0475308i | ||||
\(319\) | 1.92207e6 | + | 2.81917e6i | 0.0592104 | + | 0.0868457i | ||||
\(320\) | −1.01648e7 | + | 6.74391e7i | −0.310206 | + | 2.05808i | ||||
\(321\) | −1.28176e6 | − | 503056.i | −0.0387519 | − | 0.0152090i | ||||
\(322\) | −1.83494e6 | − | 883659.i | −0.0549609 | − | 0.0264678i | ||||
\(323\) | −8.57694e6 | + | 1.78102e7i | −0.254522 | + | 0.528520i | ||||
\(324\) | −1.47128e7 | + | 3.74875e7i | −0.432573 | + | 1.10218i | ||||
\(325\) | −1.12005e6 | − | 168820.i | −0.0326277 | − | 0.00491784i | ||||
\(326\) | 4.19222e7 | − | 2.85821e7i | 1.21002 | − | 0.824976i | ||||
\(327\) | 630579. | − | 2.04429e6i | 0.0180342 | − | 0.0584654i | ||||
\(328\) | −1.24309e7 | + | 2.83727e6i | −0.352274 | + | 0.0804041i | ||||
\(329\) | 1.06923e7 | − | 4.19642e6i | 0.300251 | − | 0.117840i | ||||
\(330\) | 1.11628e6 | + | 83653.3i | 0.0310620 | + | 0.00232778i | ||||
\(331\) | −2.78404e7 | + | 3.00048e7i | −0.767699 | + | 0.827382i | −0.989014 | − | 0.147820i | \(-0.952774\pi\) |
0.221316 | + | 0.975202i | \(0.428965\pi\) | |||||||
\(332\) | −1.55706e7 | − | 1.06159e7i | −0.425492 | − | 0.290096i | ||||
\(333\) | 4.38374e7 | − | 3.49591e7i | 1.18717 | − | 0.946734i | ||||
\(334\) | −6.43012e6 | − | 6.93002e6i | −0.172576 | − | 0.185992i | ||||
\(335\) | 2.72148e6 | + | 1.80558e7i | 0.0723886 | + | 0.480267i | ||||
\(336\) | −222206. | + | 973546.i | −0.00585783 | + | 0.0256649i | ||||
\(337\) | −8.41258e6 | + | 1.45710e7i | −0.219806 | + | 0.380715i | −0.954749 | − | 0.297414i | \(-0.903876\pi\) |
0.734943 | + | 0.678129i | \(0.237209\pi\) | |||||||
\(338\) | −5.01254e7 | + | 2.89399e7i | −1.29810 | + | 0.749457i | ||||
\(339\) | −1.14296e6 | + | 352556.i | −0.0293381 | + | 0.00904960i | ||||
\(340\) | 5.90271e7 | + | 4.70725e7i | 1.50181 | + | 1.19765i | ||||
\(341\) | 142234. | + | 1.89799e6i | 0.00358709 | + | 0.0478663i | ||||
\(342\) | −2.96707e7 | + | 1.42886e7i | −0.741735 | + | 0.357201i | ||||
\(343\) | − | 2.22157e7i | − | 0.550527i | ||||||
\(344\) | −1.25441e7 | − | 8.75656e6i | −0.308152 | − | 0.215109i | ||||
\(345\) | −1.13621e6 | −0.0276696 | ||||||||
\(346\) | −1.11782e6 | − | 2.32117e6i | −0.0269862 | − | 0.0560374i | ||||
\(347\) | 3.43583e7 | − | 2.57480e6i | 0.822324 | − | 0.0616246i | 0.343080 | − | 0.939306i | \(-0.388530\pi\) |
0.479244 | + | 0.877682i | \(0.340911\pi\) | |||||||
\(348\) | 4.33877e6 | − | 5.44064e6i | 0.102951 | − | 0.129096i | ||||
\(349\) | −3.01590e6 | − | 9.77732e6i | −0.0709481 | − | 0.230008i | 0.913153 | − | 0.407617i | \(-0.133640\pi\) |
−0.984101 | + | 0.177609i | \(0.943164\pi\) | |||||||
\(350\) | 1.05318e7 | + | 1.82415e7i | 0.245639 | + | 0.425459i | ||||
\(351\) | −286713. | − | 165534.i | −0.00663020 | − | 0.00382795i | ||||
\(352\) | −6.35440e6 | − | 1.45035e6i | −0.145696 | − | 0.0332541i | ||||
\(353\) | 5.84148e6 | − | 880461.i | 0.132800 | − | 0.0200164i | −0.0823058 | − | 0.996607i | \(-0.526228\pi\) |
0.215106 | + | 0.976591i | \(0.430990\pi\) | |||||||
\(354\) | −9.28291e6 | + | 8.61328e6i | −0.209254 | + | 0.194160i | ||||
\(355\) | 5.76846e7 | + | 7.23343e7i | 1.28936 | + | 1.61681i | ||||
\(356\) | 1.92565e7 | − | 2.82441e7i | 0.426802 | − | 0.626004i | ||||
\(357\) | 1.34232e6 | + | 1.24549e6i | 0.0295019 | + | 0.0273738i | ||||
\(358\) | −8.54274e6 | + | 1.13995e8i | −0.186186 | + | 2.48448i | ||||
\(359\) | 8.89240e6 | + | 2.26575e7i | 0.192192 | + | 0.489698i | 0.994191 | − | 0.107627i | \(-0.0343254\pi\) |
−0.801999 | + | 0.597325i | \(0.796230\pi\) | |||||||
\(360\) | 5.60666e6 | + | 2.45644e7i | 0.120170 | + | 0.526500i | ||||
\(361\) | 3.09209e7 | + | 9.53784e6i | 0.657250 | + | 0.202735i | ||||
\(362\) | −7.07770e7 | − | 1.03811e8i | −1.49199 | − | 2.18835i | ||||
\(363\) | 941121. | − | 6.24393e6i | 0.0196755 | − | 0.130538i | ||||
\(364\) | −466242. | − | 182987.i | −0.00966735 | − | 0.00379416i | ||||
\(365\) | 5.90845e7 | + | 2.84536e7i | 1.21505 | + | 0.585138i | ||||
\(366\) | 3.51409e6 | − | 7.29708e6i | 0.0716753 | − | 0.148835i | ||||
\(367\) | 7.54500e6 | − | 1.92243e7i | 0.152637 | − | 0.388914i | −0.834018 | − | 0.551738i | \(-0.813965\pi\) |
0.986655 | + | 0.162824i | \(0.0520602\pi\) | |||||||
\(368\) | 4.79329e6 | + | 722472.i | 0.0961812 | + | 0.0144970i | ||||
\(369\) | 3.92028e7 | − | 2.67280e7i | 0.780257 | − | 0.531970i | ||||
\(370\) | 5.06632e7 | − | 1.64246e8i | 1.00020 | − | 3.24258i | ||||
\(371\) | 1.15065e7 | − | 2.62628e6i | 0.225331 | − | 0.0514304i | ||||
\(372\) | 3.61345e6 | − | 1.41818e6i | 0.0701930 | − | 0.0275487i | ||||
\(373\) | 8.05821e7 | + | 6.03879e6i | 1.55279 | + | 0.116365i | 0.823291 | − | 0.567619i | \(-0.192135\pi\) |
0.729496 | + | 0.683985i | \(0.239754\pi\) | |||||||
\(374\) | −5.95655e6 | + | 6.41963e6i | −0.113862 | + | 0.122714i | ||||
\(375\) | 1.19738e6 | + | 816357.i | 0.0227058 | + | 0.0154805i | ||||
\(376\) | 1.75472e7 | − | 1.39934e7i | 0.330099 | − | 0.263245i | ||||
\(377\) | −1.04258e6 | − | 1.12364e6i | −0.0194575 | − | 0.0209702i | ||||
\(378\) | 917577. | + | 6.08772e6i | 0.0169890 | + | 0.112714i | ||||
\(379\) | 2.23094e7 | − | 9.77437e7i | 0.409798 | − | 1.79544i | −0.175342 | − | 0.984508i | \(-0.556103\pi\) |
0.585139 | − | 0.810933i | \(-0.301040\pi\) | |||||||
\(380\) | −2.80475e7 | + | 4.85797e7i | −0.511144 | + | 0.885327i | ||||
\(381\) | −1.16047e7 | + | 6.69995e6i | −0.209825 | + | 0.121143i | ||||
\(382\) | −1.51108e8 | + | 4.66106e7i | −2.71080 | + | 0.836171i | ||||
\(383\) | −1.33102e7 | − | 1.06145e7i | −0.236913 | − | 0.188932i | 0.497836 | − | 0.867271i | \(-0.334128\pi\) |
−0.734748 | + | 0.678340i | \(0.762700\pi\) | |||||||
\(384\) | 411327. | + | 5.48877e6i | 0.00726429 | + | 0.0969352i | ||||
\(385\) | −2.29548e6 | + | 1.10544e6i | −0.0402245 | + | 0.0193711i | ||||
\(386\) | 8.98249e7i | 1.56183i | ||||||||
\(387\) | 5.53570e7 | + | 1.32786e7i | 0.955079 | + | 0.229097i | ||||
\(388\) | 1.34265e7 | 0.229862 | ||||||||
\(389\) | −3.44252e7 | − | 7.14847e7i | −0.584828 | − | 1.21441i | −0.958033 | − | 0.286658i | \(-0.907456\pi\) |
0.373205 | − | 0.927749i | \(-0.378259\pi\) | |||||||
\(390\) | −501473. | + | 37580.2i | −0.00845383 | + | 0.000633527i | ||||
\(391\) | 5.54214e6 | − | 6.94962e6i | 0.0927144 | − | 0.116260i | ||||
\(392\) | −6.12244e6 | − | 1.98485e7i | −0.101640 | − | 0.329510i | ||||
\(393\) | 7.57352e6 | + | 1.31177e7i | 0.124773 | + | 0.216113i | ||||
\(394\) | −9.15150e7 | − | 5.28362e7i | −1.49625 | − | 0.863859i | ||||
\(395\) | −1.36613e8 | − | 3.11810e7i | −2.21667 | − | 0.505940i | ||||
\(396\) | −8.01608e6 | + | 1.20823e6i | −0.129085 | + | 0.0194565i | ||||
\(397\) | −7.62759e7 | + | 7.07737e7i | −1.21903 | + | 1.13110i | −0.231642 | + | 0.972801i | \(0.574410\pi\) |
−0.987392 | + | 0.158297i | \(0.949400\pi\) | |||||||
\(398\) | −4.08751e7 | − | 5.12558e7i | −0.648351 | − | 0.813006i | ||||
\(399\) | −766410. | + | 1.12412e6i | −0.0120654 | + | 0.0176967i | ||||
\(400\) | −3.67507e7 | − | 3.40997e7i | −0.574230 | − | 0.532807i | ||||
\(401\) | −4.82387e6 | + | 6.43701e7i | −0.0748105 | + | 0.998276i | 0.825889 | + | 0.563833i | \(0.190674\pi\) |
−0.900699 | + | 0.434443i | \(0.856945\pi\) | |||||||
\(402\) | 1.57817e6 | + | 4.02110e6i | 0.0242926 | + | 0.0618966i | ||||
\(403\) | −190264. | − | 833600.i | −0.00290697 | − | 0.0127363i | ||||
\(404\) | −3.91959e7 | − | 1.20903e7i | −0.594425 | − | 0.183356i | ||||
\(405\) | −5.18405e7 | − | 7.60361e7i | −0.780376 | − | 1.14460i | ||||
\(406\) | −4.24831e6 | + | 2.81857e7i | −0.0634802 | + | 0.421164i | ||||
\(407\) | 1.03125e7 | + | 4.04737e6i | 0.152961 | + | 0.0600329i | ||||
\(408\) | 3.22361e6 | + | 1.55241e6i | 0.0474638 | + | 0.0228574i | ||||
\(409\) | −1.49868e6 | + | 3.11204e6i | −0.0219048 | + | 0.0454858i | −0.911634 | − | 0.411003i | \(-0.865179\pi\) |
0.889729 | + | 0.456488i | \(0.150893\pi\) | |||||||
\(410\) | 5.31386e7 | − | 1.35395e8i | 0.771007 | − | 1.96449i | ||||
\(411\) | −6.07222e6 | − | 915240.i | −0.0874626 | − | 0.0131829i | ||||
\(412\) | 1.24984e7 | − | 8.52129e6i | 0.178716 | − | 0.121847i | ||||
\(413\) | 8.49545e6 | − | 2.75416e7i | 0.120597 | − | 0.390966i | ||||
\(414\) | 1.44371e7 | − | 3.29517e6i | 0.203460 | − | 0.0464383i | ||||
\(415\) | 4.00875e7 | − | 1.57332e7i | 0.560874 | − | 0.220127i | ||||
\(416\) | 2.91986e6 | + | 218813.i | 0.0405585 | + | 0.00303944i | ||||
\(417\) | 4.35564e6 | − | 4.69426e6i | 0.0600680 | − | 0.0647380i | ||||
\(418\) | −5.37609e6 | − | 3.66535e6i | −0.0736101 | − | 0.0501865i | ||||
\(419\) | 7.06031e7 | − | 5.63041e7i | 0.959802 | − | 0.765417i | −0.0123119 | − | 0.999924i | \(-0.503919\pi\) |
0.972114 | + | 0.234507i | \(0.0753477\pi\) | |||||||
\(420\) | 3.53431e6 | + | 3.80908e6i | 0.0477042 | + | 0.0514129i | ||||
\(421\) | 1.45452e7 | + | 9.65013e7i | 0.194928 | + | 1.29326i | 0.845565 | + | 0.533873i | \(0.179264\pi\) |
−0.650637 | + | 0.759389i | \(0.725498\pi\) | |||||||
\(422\) | 2.83433e7 | − | 1.24180e8i | 0.377149 | − | 1.65240i | ||||
\(423\) | −4.17586e7 | + | 7.23281e7i | −0.551728 | + | 0.955621i | ||||
\(424\) | 1.99717e7 | − | 1.15306e7i | 0.262009 | − | 0.151271i | ||||
\(425\) | −8.78478e7 | + | 2.70975e7i | −1.14436 | + | 0.352990i | ||||
\(426\) | 1.71121e7 | + | 1.36464e7i | 0.221347 | + | 0.176519i | ||||
\(427\) | 1.37756e6 | + | 1.83823e7i | 0.0176940 | + | 0.236110i | ||||
\(428\) | 2.75410e7 | − | 1.32631e7i | 0.351276 | − | 0.169166i | ||||
\(429\) | − | 32412.0i | − | 0.000410520i | ||||||
\(430\) | 1.63140e8 | − | 6.19610e7i | 2.05189 | − | 0.779315i | ||||
\(431\) | 3.76685e6 | 0.0470486 | 0.0235243 | − | 0.999723i | \(-0.492511\pi\) | ||||
0.0235243 | + | 0.999723i | \(0.492511\pi\) | |||||||
\(432\) | −6.35779e6 | − | 1.32021e7i | −0.0788597 | − | 0.163754i | ||||
\(433\) | 9.38961e7 | − | 7.03654e6i | 1.15660 | − | 0.0866753i | 0.517421 | − | 0.855731i | \(-0.326892\pi\) |
0.639182 | + | 0.769056i | \(0.279273\pi\) | |||||||
\(434\) | −9.91358e6 | + | 1.24312e7i | −0.121272 | + | 0.152071i | ||||
\(435\) | 4.68724e6 | + | 1.51957e7i | 0.0569442 | + | 0.184608i | ||||
\(436\) | 2.37466e7 | + | 4.11303e7i | 0.286511 | + | 0.496252i | ||||
\(437\) | 5.71958e6 | + | 3.30220e6i | 0.0685362 | + | 0.0395694i | ||||
\(438\) | 1.51250e7 | + | 3.45218e6i | 0.180000 | + | 0.0410838i | ||||
\(439\) | −7.65125e7 | + | 1.15324e7i | −0.904354 | + | 0.136310i | −0.584724 | − | 0.811233i | \(-0.698797\pi\) |
−0.319631 | + | 0.947542i | \(0.603559\pi\) | |||||||
\(440\) | −3.64931e6 | + | 3.38607e6i | −0.0428403 | + | 0.0397500i | ||||
\(441\) | 4.81920e7 | + | 6.04309e7i | 0.561900 | + | 0.704601i | ||||
\(442\) | 2.21619e6 | − | 3.25055e6i | 0.0256649 | − | 0.0376435i | ||||
\(443\) | 2.12323e7 | + | 1.97007e7i | 0.244223 | + | 0.226606i | 0.792781 | − | 0.609507i | \(-0.208632\pi\) |
−0.548558 | + | 0.836113i | \(0.684823\pi\) | |||||||
\(444\) | 1.68847e6 | − | 2.25310e7i | 0.0192905 | − | 0.257414i | ||||
\(445\) | 2.85390e7 | + | 7.27161e7i | 0.323861 | + | 0.825184i | ||||
\(446\) | 4.02678e7 | + | 1.76425e8i | 0.453893 | + | 1.98864i | ||||
\(447\) | 8.73910e6 | + | 2.69566e6i | 0.0978463 | + | 0.0301816i | ||||
\(448\) | −2.06862e7 | − | 3.03410e7i | −0.230063 | − | 0.337440i | ||||
\(449\) | −9.76982e6 | + | 6.48185e7i | −0.107931 | + | 0.716078i | 0.867769 | + | 0.496968i | \(0.165553\pi\) |
−0.975700 | + | 0.219110i | \(0.929685\pi\) | |||||||
\(450\) | −1.42566e8 | − | 5.59531e7i | −1.56451 | − | 0.614026i | ||||
\(451\) | 8.44626e6 | + | 4.06750e6i | 0.0920735 | + | 0.0443403i | ||||
\(452\) | 1.15211e7 | − | 2.39238e7i | 0.124761 | − | 0.259068i | ||||
\(453\) | −2.11846e6 | + | 5.39775e6i | −0.0227890 | + | 0.0580655i | ||||
\(454\) | 8.79774e7 | + | 1.32605e7i | 0.940164 | + | 0.141707i | ||||
\(455\) | 945681. | − | 644755.i | 0.0100395 | − | 0.00684479i | ||||
\(456\) | −783574. | + | 2.54029e6i | −0.00826391 | + | 0.0267909i | ||||
\(457\) | 8.55783e7 | − | 1.95327e7i | 0.896634 | − | 0.204651i | 0.250719 | − | 0.968060i | \(-0.419333\pi\) |
0.645915 | + | 0.763409i | \(0.276476\pi\) | |||||||
\(458\) | 1.67729e8 | − | 6.58289e7i | 1.74587 | − | 0.685205i | ||||
\(459\) | −2.67950e7 | − | 2.00801e6i | −0.277086 | − | 0.0207648i | ||||
\(460\) | 1.71566e7 | − | 1.84905e7i | 0.176262 | − | 0.189965i | ||||
\(461\) | −1.20123e8 | − | 8.18982e7i | −1.22609 | − | 0.835933i | −0.235376 | − | 0.971904i | \(-0.575632\pi\) |
−0.990713 | + | 0.135971i | \(0.956585\pi\) | |||||||
\(462\) | −471233. | + | 375796.i | −0.00477870 | + | 0.00381088i | ||||
\(463\) | 2.22918e7 | + | 2.40248e7i | 0.224596 | + | 0.242057i | 0.835290 | − | 0.549810i | \(-0.185300\pi\) |
−0.610694 | + | 0.791867i | \(0.709109\pi\) | |||||||
\(464\) | −1.01115e7 | − | 6.70856e7i | −0.101219 | − | 0.671545i | ||||
\(465\) | −1.97388e6 | + | 8.64813e6i | −0.0196319 | + | 0.0860129i | ||||
\(466\) | −7.63585e7 | + | 1.32257e8i | −0.754570 | + | 1.30695i | ||||
\(467\) | −1.59440e8 | + | 9.20527e7i | −1.56548 | + | 0.903828i | −0.568791 | + | 0.822482i | \(0.692589\pi\) |
−0.996686 | + | 0.0813464i | \(0.974078\pi\) | |||||||
\(468\) | 3.48001e6 | − | 1.07344e6i | 0.0339502 | − | 0.0104723i | ||||
\(469\) | −7.68676e6 | − | 6.12998e6i | −0.0745117 | − | 0.0594211i | ||||
\(470\) | 1.91325e7 | + | 2.55306e8i | 0.184280 | + | 2.45905i | ||||
\(471\) | 1.91745e7 | − | 9.23394e6i | 0.183510 | − | 0.0883740i | ||||
\(472\) | − | 5.63168e7i | − | 0.535565i | ||||||
\(473\) | 3.19663e6 | + | 1.07839e7i | 0.0302071 | + | 0.101904i | ||||
\(474\) | −3.31496e7 | −0.311275 | ||||||||
\(475\) | −2.96364e7 | − | 6.15407e7i | −0.276532 | − | 0.574224i | ||||
\(476\) | −4.05375e7 | + | 3.03787e6i | −0.375869 | + | 0.0281675i | ||||
\(477\) | −5.35051e7 | + | 6.70933e7i | −0.492992 | + | 0.618193i | ||||
\(478\) | 6.50670e7 | + | 2.10942e8i | 0.595768 | + | 1.93143i | ||||
\(479\) | 7.99702e6 | + | 1.38512e7i | 0.0727649 | + | 0.126032i | 0.900112 | − | 0.435658i | \(-0.143484\pi\) |
−0.827347 | + | 0.561691i | \(0.810151\pi\) | |||||||
\(480\) | −2.63071e7 | − | 1.51884e7i | −0.237875 | − | 0.137337i | ||||
\(481\) | −4.85202e6 | − | 1.10744e6i | −0.0436001 | − | 0.00995144i | ||||
\(482\) | −2.25886e7 | + | 3.40468e6i | −0.201720 | + | 0.0304043i | ||||
\(483\) | 448466. | − | 416116.i | 0.00398005 | − | 0.00369295i | ||||
\(484\) | 8.74013e7 | + | 1.09598e8i | 0.770871 | + | 0.966642i | ||||
\(485\) | −1.72837e7 | + | 2.53505e7i | −0.151499 | + | 0.222209i | ||||
\(486\) | −4.93690e7 | − | 4.58077e7i | −0.430076 | − | 0.399052i | ||||
\(487\) | 5.92232e6 | − | 7.90278e7i | 0.0512749 | − | 0.684216i | −0.911047 | − | 0.412303i | \(-0.864725\pi\) |
0.962322 | − | 0.271913i | \(-0.0876563\pi\) | |||||||
\(488\) | 1.31591e7 | + | 3.35288e7i | 0.113231 | + | 0.288509i | ||||
\(489\) | 3.39151e6 | + | 1.48592e7i | 0.0290046 | + | 0.127077i | ||||
\(490\) | 2.26417e8 | + | 6.98405e7i | 1.92452 | + | 0.593634i | ||||
\(491\) | −4.63755e7 | − | 6.80204e7i | −0.391782 | − | 0.574638i | 0.578782 | − | 0.815482i | \(-0.303528\pi\) |
−0.970564 | + | 0.240844i | \(0.922576\pi\) | |||||||
\(492\) | 2.84962e6 | − | 1.89060e7i | 0.0239271 | − | 0.158746i | ||||
\(493\) | −1.15807e8 | − | 4.54508e7i | −0.966481 | − | 0.379316i | ||||
\(494\) | 2.63358e6 | + | 1.26827e6i | 0.0218457 | + | 0.0105203i | ||||
\(495\) | 8.03770e6 | − | 1.66905e7i | 0.0662699 | − | 0.137611i | ||||
\(496\) | 1.38261e7 | − | 3.52283e7i | 0.113307 | − | 0.288700i | ||||
\(497\) | −4.92592e7 | − | 7.42464e6i | −0.401253 | − | 0.0604792i | ||||
\(498\) | 8.41750e6 | − | 5.73896e6i | 0.0681546 | − | 0.0464670i | ||||
\(499\) | 3.79653e7 | − | 1.23080e8i | 0.305552 | − | 0.990575i | −0.664420 | − | 0.747359i | \(-0.731322\pi\) |
0.969972 | − | 0.243216i | \(-0.0782023\pi\) | |||||||
\(500\) | −3.13654e7 | + | 7.15894e6i | −0.250923 | + | 0.0572715i | ||||
\(501\) | 2.64347e6 | − | 1.03748e6i | 0.0210214 | − | 0.00825028i | ||||
\(502\) | −1.96766e8 | − | 1.47456e7i | −1.55539 | − | 0.116560i | ||||
\(503\) | 6.41920e7 | − | 6.91826e7i | 0.504402 | − | 0.543617i | −0.428596 | − | 0.903496i | \(-0.640992\pi\) |
0.932999 | + | 0.359880i | \(0.117182\pi\) | |||||||
\(504\) | −1.12092e7 | − | 7.64228e6i | −0.0875552 | − | 0.0596941i | ||||
\(505\) | 7.32839e7 | − | 5.84420e7i | 0.569029 | − | 0.453786i | ||||
\(506\) | 1.99007e6 | + | 2.14479e6i | 0.0153609 | + | 0.0165551i | ||||
\(507\) | −2.59131e6 | − | 1.71922e7i | −0.0198836 | − | 0.131919i | ||||
\(508\) | 6.61950e7 | − | 2.90019e8i | 0.504933 | − | 2.21226i | ||||
\(509\) | 7.30633e7 | − | 1.26549e8i | 0.554046 | − | 0.959636i | −0.443931 | − | 0.896061i | \(-0.646416\pi\) |
0.997977 | − | 0.0635753i | \(-0.0202503\pi\) | |||||||
\(510\) | −3.53465e7 | + | 2.04073e7i | −0.266462 | + | 0.153842i | ||||
\(511\) | −3.37413e7 | + | 1.04078e7i | −0.252871 | + | 0.0780004i | ||||
\(512\) | 1.28405e8 | + | 1.02399e8i | 0.956688 | + | 0.762933i | ||||
\(513\) | −1.49194e6 | − | 1.99085e7i | −0.0110509 | − | 0.147464i | ||||
\(514\) | −2.66221e8 | + | 1.28205e8i | −1.96044 | + | 0.944097i | ||||
\(515\) | 3.45675e7i | 0.253074i | ||||||||
\(516\) | 1.90949e7 | − | 1.27126e7i | 0.138985 | − | 0.0925306i | ||||
\(517\) | −1.65013e7 | −0.119412 | ||||||||
\(518\) | 4.01550e7 | + | 8.33827e7i | 0.288902 | + | 0.599911i | ||||
\(519\) | 771728. | − | 57833.0i | 0.00552029 | − | 0.000413689i | ||||
\(520\) | 1.39438e6 | − | 1.74850e6i | 0.00991680 | − | 0.0124353i | ||||
\(521\) | −4.49290e7 | − | 1.45656e8i | −0.317697 | − | 1.02995i | −0.963784 | − | 0.266685i | \(-0.914072\pi\) |
0.646086 | − | 0.763264i | \(-0.276405\pi\) | |||||||
\(522\) | −1.03627e8 | − | 1.79487e8i | −0.728552 | − | 1.26189i | ||||
\(523\) | 1.15506e8 | + | 6.66875e7i | 0.807421 | + | 0.466165i | 0.846059 | − | 0.533089i | \(-0.178969\pi\) |
−0.0386387 | + | 0.999253i | \(0.512302\pi\) | |||||||
\(524\) | −3.27833e8 | − | 7.48258e7i | −2.27855 | − | 0.520065i | ||||
\(525\) | −6.25657e6 | + | 943026.i | −0.0432373 | + | 0.00651697i | ||||
\(526\) | 2.02617e7 | − | 1.88001e7i | 0.139225 | − | 0.129182i | ||||
\(527\) | −4.32680e7 | − | 5.42564e7i | −0.295621 | − | 0.370697i | ||||
\(528\) | 808123. | − | 1.18530e6i | 0.00549004 | − | 0.00805242i | ||||
\(529\) | 1.06341e8 | + | 9.86700e7i | 0.718346 | + | 0.666528i | ||||
\(530\) | −1.96590e7 | + | 2.62331e8i | −0.132049 | + | 1.76207i | ||||
\(531\) | 7.65630e7 | + | 1.95079e8i | 0.511370 | + | 1.30295i | ||||
\(532\) | −6.72093e6 | − | 2.94463e7i | −0.0446370 | − | 0.195567i | ||||
\(533\) | −4.02434e6 | − | 1.24134e6i | −0.0265774 | − | 0.00819805i | ||||
\(534\) | 1.04101e7 | + | 1.52688e7i | 0.0683645 | + | 0.100272i | ||||
\(535\) | −1.04111e7 | + | 6.90734e7i | −0.0679887 | + | 0.451076i | ||||
\(536\) | −1.78827e7 | − | 7.01845e6i | −0.116129 | − | 0.0455771i | ||||
\(537\) | −3.09382e7 | − | 1.48990e7i | −0.199789 | − | 0.0962134i | ||||
\(538\) | 8.81062e7 | − | 1.82954e8i | 0.565796 | − | 1.17489i | ||||
\(539\) | −5.57940e6 | + | 1.42161e7i | −0.0356304 | + | 0.0907848i | ||||
\(540\) | −7.53974e7 | − | 1.13643e7i | −0.478823 | − | 0.0721710i | ||||
\(541\) | −2.18798e8 | + | 1.49174e8i | −1.38182 | + | 0.942110i | −0.381982 | + | 0.924170i | \(0.624759\pi\) |
−0.999839 | + | 0.0179403i | \(0.994289\pi\) | |||||||
\(542\) | 3.41146e7 | − | 1.10597e8i | 0.214260 | − | 0.694615i | ||||
\(543\) | 3.67953e7 | − | 8.39830e6i | 0.229823 | − | 0.0524556i | ||||
\(544\) | 2.21218e8 | − | 8.68218e7i | 1.37412 | − | 0.539302i | ||||
\(545\) | −1.08226e8 | − | 8.11045e6i | −0.668566 | − | 0.0501021i | ||||
\(546\) | 184169. | − | 198487.i | 0.00113146 | − | 0.00121943i | ||||
\(547\) | 2.86076e7 | + | 1.95044e7i | 0.174791 | + | 0.119171i | 0.647556 | − | 0.762018i | \(-0.275791\pi\) |
−0.472764 | + | 0.881189i | \(0.656744\pi\) | |||||||
\(548\) | 1.06584e8 | − | 8.49978e7i | 0.647664 | − | 0.516495i | ||||
\(549\) | −9.11652e7 | − | 9.82528e7i | −0.550950 | − | 0.593783i | ||||
\(550\) | −4.51002e6 | − | 2.99220e7i | −0.0271076 | − | 0.179847i | ||||
\(551\) | 2.05684e7 | − | 9.01159e7i | 0.122955 | − | 0.538700i | ||||
\(552\) | 597693. | − | 1.03523e6i | 0.00355354 | − | 0.00615490i | ||||
\(553\) | 6.53409e7 | − | 3.77246e7i | 0.386375 | − | 0.223074i | ||||
\(554\) | 4.33900e8 | − | 1.33841e8i | 2.55188 | − | 0.787152i | ||||
\(555\) | 4.03671e7 | + | 3.21917e7i | 0.236129 | + | 0.188307i | ||||
\(556\) | 1.06238e7 | + | 1.41765e8i | 0.0618097 | + | 0.824793i | ||||
\(557\) | 1.72039e8 | − | 8.28498e7i | 0.995548 | − | 0.479431i | 0.136123 | − | 0.990692i | \(-0.456536\pi\) |
0.859425 | + | 0.511261i | \(0.170822\pi\) | |||||||
\(558\) | − | 1.15610e8i | − | 0.665417i | ||||||
\(559\) | −2.14204e6 | − | 4.57639e6i | −0.0122629 | − | 0.0261992i | ||||
\(560\) | 5.06588e7 | 0.288464 | ||||||||
\(561\) | −1.14139e6 | − | 2.37011e6i | −0.00646463 | − | 0.0134239i | ||||
\(562\) | −3.30783e8 | + | 2.47888e7i | −1.86352 | + | 0.139652i | ||||
\(563\) | 1.50947e8 | − | 1.89282e8i | 0.845863 | − | 1.06068i | −0.151526 | − | 0.988453i | \(-0.548419\pi\) |
0.997388 | − | 0.0722247i | \(-0.0230099\pi\) | |||||||
\(564\) | 9.91980e6 | + | 3.21592e7i | 0.0552924 | + | 0.179254i | ||||
\(565\) | 3.03395e7 | + | 5.25496e7i | 0.168214 | + | 0.291356i | ||||
\(566\) | 4.08619e8 | + | 2.35916e8i | 2.25356 | + | 1.30109i | ||||
\(567\) | 4.83083e7 | + | 1.10260e7i | 0.265016 | + | 0.0604882i | ||||
\(568\) | −9.62500e7 | + | 1.45074e7i | −0.525237 | + | 0.0791668i | ||||
\(569\) | −1.38913e8 | + | 1.28893e8i | −0.754062 | + | 0.699667i | −0.960342 | − | 0.278826i | \(-0.910055\pi\) |
0.206280 | + | 0.978493i | \(0.433864\pi\) | |||||||
\(570\) | −1.89073e7 | − | 2.37091e7i | −0.102095 | − | 0.128024i | ||||
\(571\) | 1.13201e8 | − | 1.66035e8i | 0.608054 | − | 0.891851i | −0.391545 | − | 0.920159i | \(-0.628059\pi\) |
0.999599 | + | 0.0283075i | \(0.00901177\pi\) | |||||||
\(572\) | 527465. | + | 489416.i | 0.00281842 | + | 0.00261511i | ||||
\(573\) | 3.54979e6 | − | 4.73686e7i | 0.0188686 | − | 0.251783i | ||||
\(574\) | 2.86118e7 | + | 7.29016e7i | 0.151290 | + | 0.385480i | ||||
\(575\) | 6.83459e6 | + | 2.99443e7i | 0.0359509 | + | 0.157511i | ||||
\(576\) | 2.55143e8 | + | 7.87012e7i | 1.33511 | + | 0.411826i | ||||
\(577\) | −7.22026e7 | − | 1.05902e8i | −0.375859 | − | 0.551285i | 0.590975 | − | 0.806690i | \(-0.298743\pi\) |
−0.966834 | + | 0.255406i | \(0.917791\pi\) | |||||||
\(578\) | 4.41463e6 | − | 2.92891e7i | 0.0228618 | − | 0.151678i | ||||
\(579\) | −2.51172e7 | − | 9.85776e6i | −0.129400 | − | 0.0507859i | ||||
\(580\) | −3.18067e8 | − | 1.53173e8i | −1.63017 | − | 0.785051i | ||||
\(581\) | −1.00607e7 | + | 2.08912e7i | −0.0512978 | + | 0.106521i | ||||
\(582\) | −2.65179e6 | + | 6.75664e6i | −0.0134515 | + | 0.0342738i | ||||
\(583\) | −1.67661e7 | − | 2.52708e6i | −0.0846107 | − | 0.0127530i | ||||
\(584\) | −5.70055e7 | + | 3.88657e7i | −0.286206 | + | 0.195132i | ||||
\(585\) | −2.45299e6 | + | 7.95240e6i | −0.0122526 | + | 0.0397220i | ||||
\(586\) | −4.18568e8 | + | 9.55353e7i | −2.08005 | + | 0.474757i | ||||
\(587\) | −2.53588e8 | + | 9.95258e7i | −1.25376 | + | 0.492064i | −0.896957 | − | 0.442117i | \(-0.854228\pi\) |
−0.356800 | + | 0.934181i | \(0.616132\pi\) | |||||||
\(588\) | 3.10595e7 | + | 2.32759e6i | 0.152779 | + | 0.0114492i | ||||
\(589\) | 3.50705e7 | − | 3.77971e7i | 0.171631 | − | 0.184975i | ||||
\(590\) | 5.30794e8 | + | 3.61889e8i | 2.58446 | + | 1.76206i | ||||
\(591\) | 2.48175e7 | − | 1.97913e7i | 0.120225 | − | 0.0958764i | ||||
\(592\) | −1.49825e8 | − | 1.61473e8i | −0.722139 | − | 0.778280i | ||||
\(593\) | −1.98399e7 | − | 1.31629e8i | −0.0951425 | − | 0.631229i | −0.984681 | − | 0.174368i | \(-0.944212\pi\) |
0.889538 | − | 0.456861i | \(-0.151026\pi\) | |||||||
\(594\) | 1.96808e6 | − | 8.62271e6i | 0.00939037 | − | 0.0411419i | ||||
\(595\) | 4.64474e7 | − | 8.04493e7i | 0.220501 | − | 0.381919i | ||||
\(596\) | −1.75827e8 | + | 1.01514e8i | −0.830515 | + | 0.479498i | ||||
\(597\) | 1.88182e7 | − | 5.80463e6i | 0.0884411 | − | 0.0272805i | ||||
\(598\) | −1.02764e6 | − | 819512.i | −0.00480547 | − | 0.00383223i | ||||
\(599\) | 1.53167e7 | + | 2.04387e8i | 0.0712663 | + | 0.950983i | 0.912174 | + | 0.409804i | \(0.134403\pi\) |
−0.840907 | + | 0.541179i | \(0.817978\pi\) | |||||||
\(600\) | −1.11388e7 | + | 5.36415e6i | −0.0515684 | + | 0.0248340i | ||||
\(601\) | − | 4.12120e8i | − | 1.89845i | −0.314591 | − | 0.949227i | \(-0.601867\pi\) | ||
0.314591 | − | 0.949227i | \(-0.398133\pi\) | |||||||
\(602\) | −4.16997e7 | + | 8.42029e7i | −0.191136 | + | 0.385956i | ||||
\(603\) | 7.14867e7 | 0.326042 | ||||||||
\(604\) | −5.58532e7 | − | 1.15980e8i | −0.253476 | − | 0.526349i | ||||
\(605\) | −3.19441e8 | + | 2.39388e7i | −1.44253 | + | 0.108103i | ||||
\(606\) | 1.38256e7 | − | 1.73368e7i | 0.0621250 | − | 0.0779023i | ||||
\(607\) | 1.55476e7 | + | 5.04039e7i | 0.0695178 | + | 0.225371i | 0.983664 | − | 0.180013i | \(-0.0576140\pi\) |
−0.914146 | + | 0.405384i | \(0.867138\pi\) | |||||||
\(608\) | 8.82848e7 | + | 1.52914e8i | 0.392803 | + | 0.680355i | ||||
\(609\) | −7.41517e6 | − | 4.28115e6i | −0.0328299 | − | 0.0189543i | ||||
\(610\) | −4.00574e8 | − | 9.14284e7i | −1.76479 | − | 0.402802i | ||||
\(611\) | 7.33023e6 | − | 1.10485e6i | 0.0321362 | − | 0.00484375i | ||||
\(612\) | 2.16672e8 | − | 2.01042e8i | 0.945255 | − | 0.877068i | ||||
\(613\) | −5.48547e7 | − | 6.87856e7i | −0.238140 | − | 0.298618i | 0.648372 | − | 0.761324i | \(-0.275450\pi\) |
−0.886512 | + | 0.462706i | \(0.846879\pi\) | |||||||
\(614\) | −3.09245e8 | + | 4.53579e8i | −1.33597 | + | 1.95951i | ||||
\(615\) | 3.20280e7 | + | 2.97176e7i | 0.137691 | + | 0.127758i | ||||
\(616\) | 200312. | − | 2.67298e6i | 0.000856968 | − | 0.0114354i | ||||
\(617\) | 6.93986e7 | + | 1.76825e8i | 0.295458 | + | 0.752814i | 0.999106 | + | 0.0422657i | \(0.0134576\pi\) |
−0.703649 | + | 0.710548i | \(0.748447\pi\) | |||||||
\(618\) | 1.81969e6 | + | 7.97260e6i | 0.00770962 | + | 0.0337781i | ||||
\(619\) | −1.61505e8 | − | 4.98177e7i | −0.680948 | − | 0.210045i | −0.0650635 | − | 0.997881i | \(-0.520725\pi\) |
−0.615884 | + | 0.787836i | \(0.711201\pi\) | |||||||
\(620\) | −1.10932e8 | − | 1.62708e8i | −0.465461 | − | 0.682705i | ||||
\(621\) | −1.33799e6 | + | 8.87700e6i | −0.00558700 | + | 0.0370673i | ||||
\(622\) | 1.20595e8 | + | 4.73299e7i | 0.501137 | + | 0.196682i | ||||
\(623\) | −3.78952e7 | − | 1.82494e7i | −0.156719 | − | 0.0754717i | ||||
\(624\) | −279622. | + | 580642.i | −0.00115085 | + | 0.00238976i | ||||
\(625\) | −7.48824e7 | + | 1.90797e8i | −0.306718 | + | 0.781506i | ||||
\(626\) | 1.09467e8 | + | 1.64995e7i | 0.446232 | + | 0.0672586i | ||||
\(627\) | 1.61492e6 | − | 1.10103e6i | 0.00655160 | − | 0.00446680i | ||||
\(628\) | −1.39261e8 | + | 4.51472e8i | −0.562275 | + | 1.82285i | ||||
\(629\) | −3.93800e8 | + | 8.98822e7i | −1.58243 | + | 0.361178i | ||||
\(630\) | 1.44059e8 | − | 5.65391e7i | 0.576129 | − | 0.226114i | ||||
\(631\) | −2.89292e8 | − | 2.16794e7i | −1.15146 | − | 0.0862899i | −0.514712 | − | 0.857363i | \(-0.672101\pi\) |
−0.636746 | + | 0.771073i | \(0.719720\pi\) | |||||||
\(632\) | 1.00274e8 | − | 1.08069e8i | 0.397224 | − | 0.428105i | ||||
\(633\) | 3.16132e7 | + | 2.15535e7i | 0.124640 | + | 0.0849781i | ||||
\(634\) | −8.81602e7 | + | 7.03054e7i | −0.345943 | + | 0.275881i | ||||
\(635\) | 4.62372e8 | + | 4.98319e8i | 1.80580 | + | 1.94619i | ||||
\(636\) | 5.15396e6 | + | 3.41943e7i | 0.0200341 | + | 0.132917i | ||||
\(637\) | 1.52664e6 | − | 6.68863e6i | 0.00590633 | − | 0.0258773i | ||||
\(638\) | 2.04746e7 | − | 3.54630e7i | 0.0788412 | − | 0.136557i | ||||
\(639\) | 3.13683e8 | − | 1.81105e8i | 1.20223 | − | 0.694110i | ||||
\(640\) | 2.66825e8 | − | 8.23046e7i | 1.01786 | − | 0.313967i | ||||
\(641\) | 2.75991e8 | + | 2.20095e8i | 1.04790 | + | 0.835673i | 0.986716 | − | 0.162453i | \(-0.0519407\pi\) |
0.0611846 | + | 0.998126i | \(0.480512\pi\) | |||||||
\(642\) | 1.23493e6 | + | 1.64790e7i | 0.00466701 | + | 0.0622769i | ||||
\(643\) | −1.49675e7 | + | 7.20797e6i | −0.0563010 | + | 0.0271132i | −0.461822 | − | 0.886972i | \(-0.652804\pi\) |
0.405521 | + | 0.914086i | \(0.367090\pi\) | |||||||
\(644\) | 1.35815e7i | 0.0508499i | ||||||||
\(645\) | −577905. | + | 5.24177e7i | −0.00215366 | + | 0.195343i | ||||
\(646\) | 2.37241e8 | 0.880018 | ||||||||
\(647\) | 1.56520e8 | + | 3.25016e8i | 0.577904 | + | 1.20003i | 0.961058 | + | 0.276346i | \(0.0891235\pi\) |
−0.383154 | + | 0.923684i | \(0.625162\pi\) | |||||||
\(648\) | 9.65485e7 | − | 7.23531e6i | 0.354830 | − | 0.0265909i | ||||
\(649\) | −2.58162e7 | + | 3.23725e7i | −0.0944406 | + | 0.118425i | ||||
\(650\) | 4.00688e6 | + | 1.29900e7i | 0.0145904 | + | 0.0473009i | ||||
\(651\) | −2.38811e6 | − | 4.13633e6i | −0.00865589 | − | 0.0149924i | ||||
\(652\) | −2.93026e8 | − | 1.69178e8i | −1.05721 | − | 0.610383i | ||||
\(653\) | −2.32451e8 | − | 5.30555e7i | −0.834820 | − | 0.190542i | −0.216315 | − | 0.976324i | \(-0.569404\pi\) |
−0.618504 | + | 0.785781i | \(0.712261\pi\) | |||||||
\(654\) | −2.53881e7 | + | 3.82664e6i | −0.0907606 | + | 0.0136800i | ||||
\(655\) | 5.63292e8 | − | 5.22659e8i | 2.00452 | − | 1.85992i | ||||
\(656\) | −1.16219e8 | − | 1.45734e8i | −0.411684 | − | 0.516236i | ||||
\(657\) | 1.44627e8 | − | 2.12129e8i | 0.509979 | − | 0.748002i | ||||
\(658\) | −1.01052e8 | − | 9.37628e7i | −0.354706 | − | 0.329119i | ||||
\(659\) | 2.01056e7 | − | 2.68291e8i | 0.0702525 | − | 0.937454i | −0.845050 | − | 0.534687i | \(-0.820429\pi\) |
0.915302 | − | 0.402767i | \(-0.131952\pi\) | |||||||
\(660\) | −2.72723e6 | − | 6.94888e6i | −0.00948616 | − | 0.0241703i | ||||
\(661\) | 8.34380e7 | + | 3.65566e8i | 0.288908 | + | 1.26579i | 0.886026 | + | 0.463635i | \(0.153455\pi\) |
−0.597118 | + | 0.802153i | \(0.703688\pi\) | |||||||
\(662\) | 4.69407e8 | + | 1.44793e8i | 1.61799 | + | 0.499084i | ||||
\(663\) | 665718. | + | 976429.i | 0.00228428 | + | 0.00335042i | ||||
\(664\) | −6.75268e6 | + | 4.48011e7i | −0.0230660 | + | 0.153033i | ||||
\(665\) | 6.42492e7 | + | 2.52160e7i | 0.218476 | + | 0.0857453i | ||||
\(666\) | −6.06277e8 | − | 2.91968e8i | −2.05234 | − | 0.988353i | ||||
\(667\) | −1.80340e7 | + | 3.74479e7i | −0.0607735 | + | 0.126197i | ||||
\(668\) | −2.30322e7 | + | 5.86850e7i | −0.0772690 | + | 0.196878i | ||||
\(669\) | −5.37518e7 | − | 8.10178e6i | −0.179521 | − | 0.0270584i | ||||
\(670\) | 1.81064e8 | − | 1.23447e8i | 0.602014 | − | 0.410446i | ||||
\(671\) | 7.80575e6 | − | 2.53056e7i | 0.0258373 | − | 0.0837625i | ||||
\(672\) | 1.59459e7 | − | 3.63955e6i | 0.0525463 | − | 0.0119933i | ||||
\(673\) | −5.97458e7 | + | 2.34485e7i | −0.196003 | + | 0.0769254i | −0.461312 | − | 0.887238i | \(-0.652621\pi\) |
0.265309 | + | 0.964163i | \(0.414526\pi\) | |||||||
\(674\) | 2.01360e8 | + | 1.50899e7i | 0.657649 | + | 0.0492839i | ||||
\(675\) | 6.31513e7 | − | 6.80610e7i | 0.205339 | − | 0.221303i | ||||
\(676\) | 3.18910e8 | + | 2.17429e8i | 1.03235 | + | 0.703847i | ||||
\(677\) | −2.48505e8 | + | 1.98176e8i | −0.800883 | + | 0.638683i | −0.935942 | − | 0.352155i | \(-0.885449\pi\) |
0.135059 | + | 0.990838i | \(0.456878\pi\) | |||||||
\(678\) | 9.76375e6 | + | 1.05228e7i | 0.0313276 | + | 0.0337632i | ||||
\(679\) | −2.46221e6 | − | 1.63357e7i | −0.00786531 | − | 0.0521829i | ||||
\(680\) | 4.03901e7 | − | 1.76961e8i | 0.128454 | − | 0.562795i | ||||
\(681\) | −1.33630e7 | + | 2.31453e7i | −0.0423118 | + | 0.0732862i | ||||
\(682\) | 1.97820e7 | − | 1.14211e7i | 0.0623616 | − | 0.0360045i | ||||
\(683\) | −2.28544e8 | + | 7.04965e7i | −0.717312 | + | 0.221261i | −0.631862 | − | 0.775081i | \(-0.717709\pi\) |
−0.0854501 | + | 0.996342i | \(0.527233\pi\) | |||||||
\(684\) | 1.71699e8 | + | 1.36925e8i | 0.536536 | + | 0.427873i | ||||
\(685\) | 2.32805e7 | + | 3.10657e8i | 0.0724304 | + | 0.966516i | ||||
\(686\) | −2.40215e8 | + | 1.15682e8i | −0.744095 | + | 0.358337i | ||||
\(687\) | 5.41255e7i | 0.166929i | ||||||||
\(688\) | 3.57682e7 | − | 2.20764e8i | 0.109833 | − | 0.677897i | ||||
\(689\) | 7.61702e6 | 0.0232878 | ||||||||
\(690\) | 5.91649e6 | + | 1.22857e7i | 0.0180101 | + | 0.0373984i | ||||
\(691\) | 2.46845e8 | − | 1.84985e7i | 0.748152 | − | 0.0560663i | 0.304803 | − | 0.952415i | \(-0.401409\pi\) |
0.443349 | + | 0.896349i | \(0.353790\pi\) | |||||||
\(692\) | −1.07118e7 | + | 1.34322e7i | −0.0323254 | + | 0.0405348i | ||||
\(693\) | 2.94005e6 | + | 9.53141e6i | 0.00883395 | + | 0.0286390i | ||||
\(694\) | −2.06751e8 | − | 3.58103e8i | −0.618542 | − | 1.07135i | ||||
\(695\) | −2.81342e8 | − | 1.62433e8i | −0.838069 | − | 0.483859i | ||||
\(696\) | −1.63108e7 | − | 3.72284e6i | −0.0483780 | − | 0.0110420i | ||||
\(697\) | −3.37991e8 | + | 5.09439e7i | −0.998175 | + | 0.150451i | ||||
\(698\) | −9.00162e7 | + | 8.35229e7i | −0.264700 | + | 0.245606i | ||||
\(699\) | −2.86023e7 | − | 3.58661e7i | −0.0837469 | − | 0.105015i | ||||
\(700\) | 7.91266e7 | − | 1.16057e8i | 0.230690 | − | 0.338360i | ||||
\(701\) | 2.50735e7 | + | 2.32648e7i | 0.0727883 | + | 0.0675376i | 0.715728 | − | 0.698379i | \(-0.246095\pi\) |
−0.642940 | + | 0.765917i | \(0.722285\pi\) | |||||||
\(702\) | −296922. | + | 3.96215e6i | −0.000858285 | + | 0.0114530i | ||||
\(703\) | −1.09644e8 | − | 2.79369e8i | −0.315588 | − | 0.804105i | ||||
\(704\) | 1.17391e7 | + | 5.14323e7i | 0.0336447 | + | 0.147407i | ||||
\(705\) | −7.34892e7 | − | 2.26684e7i | −0.209728 | − | 0.0646925i | ||||
\(706\) | −3.99380e7 | − | 5.85783e7i | −0.113494 | − | 0.166465i | ||||
\(707\) | −7.52212e6 | + | 4.99060e7i | −0.0212854 | + | 0.141219i | ||||
\(708\) | 7.86098e7 | + | 3.08521e7i | 0.221502 | + | 0.0869329i | ||||
\(709\) | 1.11475e8 | + | 5.36835e7i | 0.312780 | + | 0.150627i | 0.583687 | − | 0.811979i | \(-0.301609\pi\) |
−0.270908 | + | 0.962605i | \(0.587324\pi\) | |||||||
\(710\) | 4.81764e8 | − | 1.00039e9i | 1.34604 | − | 2.79509i | ||||
\(711\) | −2.00423e8 | + | 5.10670e8i | −0.557621 | + | 1.42080i | ||||
\(712\) | −8.12662e7 | − | 1.22489e7i | −0.225149 | − | 0.0339357i | ||||
\(713\) | −1.91566e7 | + | 1.30607e7i | −0.0528505 | + | 0.0360329i | ||||
\(714\) | 6.47757e6 | − | 2.09998e7i | 0.0177958 | − | 0.0576926i | ||||
\(715\) | −1.60306e6 | + | 365888.i | −0.00438563 | + | 0.00100099i | ||||
\(716\) | 7.09624e8 | − | 2.78507e8i | 1.93326 | − | 0.758747i | ||||
\(717\) | −6.61252e7 | − | 4.95540e6i | −0.179395 | − | 0.0134438i | ||||
\(718\) | 1.98687e8 | − | 2.14134e8i | 0.536781 | − | 0.578512i | ||||
\(719\) | −2.16344e8 | − | 1.47501e8i | −0.582048 | − | 0.396834i | 0.236195 | − | 0.971706i | \(-0.424099\pi\) |
−0.818243 | + | 0.574872i | \(0.805052\pi\) | |||||||
\(720\) | −2.87981e8 | + | 2.29657e8i | −0.771554 | + | 0.615294i | ||||
\(721\) | −1.26597e7 | − | 1.36439e7i | −0.0337767 | − | 0.0364026i | ||||
\(722\) | −5.78800e7 | − | 3.84008e8i | −0.153786 | − | 1.02030i | ||||
\(723\) | 1.52694e6 | − | 6.68995e6i | 0.00404024 | − | 0.0177014i | ||||
\(724\) | −4.18932e8 | + | 7.25611e8i | −1.10389 | + | 1.91200i | ||||
\(725\) | 3.72279e8 | − | 2.14935e8i | 0.976909 | − | 0.564018i | ||||
\(726\) | −7.24152e7 | + | 2.23371e7i | −0.189243 | + | 0.0583738i | ||||
\(727\) | −1.32453e8 | − | 1.05628e8i | −0.344714 | − | 0.274900i | 0.435794 | − | 0.900047i | \(-0.356468\pi\) |
−0.780507 | + | 0.625147i | \(0.785039\pi\) | |||||||
\(728\) | 89987.6 | + | 1.20080e6i | 0.000233232 | + | 0.00311227i | ||||
\(729\) | −3.12269e8 | + | 1.50381e8i | −0.806021 | + | 0.388159i | ||||
\(730\) | − | 7.87034e8i | − | 2.02314i | ||||||
\(731\) | −3.17792e8 | − | 2.59214e8i | −0.813563 | − | 0.663599i | ||||
\(732\) | −5.40102e7 | −0.137703 | ||||||||
\(733\) | 3.09676e8 | + | 6.43050e8i | 0.786314 | + | 1.63280i | 0.774257 | + | 0.632871i | \(0.218124\pi\) |
0.0120573 | + | 0.999927i | \(0.496162\pi\) | |||||||
\(734\) | −2.47158e8 | + | 1.85219e7i | −0.625010 | + | 0.0468380i | ||||
\(735\) | −4.43771e7 | + | 5.56471e7i | −0.111763 | + | 0.140146i | ||||
\(736\) | −2.34027e7 | − | 7.58698e7i | −0.0586993 | − | 0.190298i | ||||
\(737\) | 7.06217e6 | + | 1.22320e7i | 0.0176415 | + | 0.0305560i | ||||
\(738\) | −4.93142e8 | − | 2.84716e8i | −1.22688 | − | 0.708341i | ||||
\(739\) | 4.26288e8 | + | 9.72975e7i | 1.05626 | + | 0.241084i | 0.715172 | − | 0.698948i | \(-0.246348\pi\) |
0.341086 | + | 0.940032i | \(0.389205\pi\) | |||||||
\(740\) | −1.13342e9 | + | 1.70835e8i | −2.79701 | + | 0.421582i | ||||
\(741\) | −643658. | + | 597227.i | −0.00158198 | + | 0.00146786i | ||||
\(742\) | −8.83142e7 | − | 1.10742e8i | −0.216182 | − | 0.271083i | ||||
\(743\) | 7.20918e7 | − | 1.05739e8i | 0.175760 | − | 0.257792i | −0.728243 | − | 0.685319i | \(-0.759663\pi\) |
0.904003 | + | 0.427527i | \(0.140615\pi\) | |||||||
\(744\) | −6.84120e6 | − | 6.34771e6i | −0.0166117 | − | 0.0154134i | ||||
\(745\) | 3.46713e7 | − | 4.62656e8i | 0.0838496 | − | 1.11889i | ||||
\(746\) | −3.54310e8 | − | 9.02767e8i | −0.853428 | − | 2.17450i | ||||
\(747\) | −3.75163e7 | − | 1.64370e8i | −0.0900032 | − | 0.394330i | ||||
\(748\) | 5.58053e7 | + | 1.72137e7i | 0.133343 | + | 0.0411309i | ||||
\(749\) | −2.11875e7 | − | 3.10763e7i | −0.0504235 | − | 0.0739578i | ||||
\(750\) | 2.59218e6 | − | 1.71980e7i | 0.00614442 | − | 0.0407656i | ||||
\(751\) | 6.82640e8 | + | 2.67917e8i | 1.61165 | + | 0.632528i | 0.988724 | − | 0.149749i | \(-0.0478465\pi\) |
0.622931 | + | 0.782277i | \(0.285942\pi\) | |||||||
\(752\) | 2.95611e8 | + | 1.42359e8i | 0.695133 | + | 0.334758i | ||||
\(753\) | 2.57171e7 | − | 5.34022e7i | 0.0602334 | − | 0.125076i | ||||
\(754\) | −6.72078e6 | + | 1.71243e7i | −0.0156785 | + | 0.0399483i | ||||
\(755\) | 2.90881e8 | + | 4.38432e7i | 0.675887 | + | 0.101874i | ||||
\(756\) | 3.39215e7 | − | 2.31273e7i | 0.0785072 | − | 0.0535253i | ||||
\(757\) | −2.15203e8 | + | 6.97670e8i | −0.496089 | + | 1.60828i | 0.268169 | + | 0.963372i | \(0.413582\pi\) |
−0.764258 | + | 0.644911i | \(0.776895\pi\) | |||||||
\(758\) | −1.17306e9 | + | 2.67742e8i | −2.69346 | + | 0.614766i | ||||
\(759\) | −818134. | + | 321094.i | −0.00187111 | + | 0.000734356i | ||||
\(760\) | 1.34485e8 | + | 1.00783e7i | 0.306361 | + | 0.0229586i | ||||
\(761\) | 5.15042e8 | − | 5.55083e8i | 1.16866 | − | 1.25952i | 0.209139 | − | 0.977886i | \(-0.432934\pi\) |
0.959522 | − | 0.281632i | \(-0.0908757\pi\) | |||||||
\(762\) | 1.32873e8 | + | 9.05914e7i | 0.300312 | + | 0.204749i | ||||
\(763\) | 4.56875e7 | − | 3.64346e7i | 0.102855 | − | 0.0820239i | ||||
\(764\) | 7.17264e8 | + | 7.73027e8i | 1.60842 | + | 1.73346i | ||||
\(765\) | 1.00669e8 | + | 6.67896e8i | 0.224860 | + | 1.49185i | ||||
\(766\) | −4.54645e7 | + | 1.99193e8i | −0.101155 | + | 0.443188i | ||||
\(767\) | 9.30057e6 | − | 1.61091e7i | 0.0206122 | − | 0.0357013i | ||||
\(768\) | −1.73052e7 | + | 9.99114e6i | −0.0382025 | + | 0.0220562i | ||||
\(769\) | 2.12206e8 | − | 6.54569e7i | 0.466637 | − | 0.143938i | −0.0525155 | − | 0.998620i | \(-0.516724\pi\) |
0.519152 | + | 0.854682i | \(0.326248\pi\) | |||||||
\(770\) | 2.39060e7 | + | 1.90644e7i | 0.0523642 | + | 0.0417591i | ||||
\(771\) | −6.63302e6 | − | 8.85115e7i | −0.0144727 | − | 0.193124i | ||||
\(772\) | 5.39688e8 | − | 2.59900e8i | 1.17298 | − | 0.564878i | ||||
\(773\) | 4.78121e7i | 0.103514i | 0.998660 | + | 0.0517570i | \(0.0164821\pi\) | ||||
−0.998660 | + | 0.0517570i | \(0.983518\pi\) | |||||||
\(774\) | −1.44675e8 | − | 6.67711e8i | −0.312012 | − | 1.44001i | ||||
\(775\) | 2.39790e8 | 0.515142 | ||||||||
\(776\) | −1.40056e7 | − | 2.90830e7i | −0.0299721 | − | 0.0622377i | ||||
\(777\) | −2.77226e7 | + | 2.07752e6i | −0.0590977 | + | 0.00442876i | ||||
\(778\) | −5.93694e8 | + | 7.44469e8i | −1.26074 | + | 1.58091i | ||||
\(779\) | −7.48566e7 | − | 2.42679e8i | −0.158350 | − | 0.513357i | ||||
\(780\) | 1.67676e6 | + | 2.90423e6i | 0.00353335 | + | 0.00611993i | ||||
\(781\) | 6.19776e7 | + | 3.57828e7i | 0.130101 | + | 0.0751140i | ||||
\(782\) | −1.04004e8 | − | 2.37383e7i | −0.217486 | − | 0.0496397i | ||||
\(783\) | 1.24240e8 | − | 1.87262e7i | 0.258807 | − | 0.0390089i | ||||
\(784\) | 2.22595e8 | − | 2.06538e8i | 0.461921 | − | 0.428600i | ||||
\(785\) | −6.73154e8 | − | 8.44108e8i | −1.39157 | − | 1.74497i | ||||
\(786\) | 1.02403e8 | − | 1.50198e8i | 0.210885 | − | 0.309312i | ||||
\(787\) | 2.79055e8 | + | 2.58925e8i | 0.572487 | + | 0.531190i | 0.912418 | − | 0.409260i | \(-0.134213\pi\) |
−0.339931 | + | 0.940451i | \(0.610404\pi\) | |||||||
\(788\) | −5.26615e7 | + | 7.02719e8i | −0.107625 | + | 1.43616i | ||||
\(789\) | 3.03335e6 | + | 7.72886e6i | 0.00617578 | + | 0.0157356i | ||||
\(790\) | 3.74215e8 | + | 1.63954e9i | 0.758996 | + | 3.32538i | ||||
\(791\) | −3.12203e7 | − | 9.63019e6i | −0.0630823 | − | 0.0194583i | ||||
\(792\) | 1.09790e7 | + | 1.61032e7i | 0.0220997 | + | 0.0324143i | ||||
\(793\) | −1.77312e6 | + | 1.17639e7i | −0.00355565 | + | 0.0235902i | ||||
\(794\) | 1.16245e9 | + | 4.56227e8i | 2.32227 | + | 0.911422i | ||||
\(795\) | −7.11966e7 | − | 3.42865e7i | −0.141696 | − | 0.0682373i | ||||
\(796\) | −1.89688e8 | + | 3.93891e8i | −0.376097 | + | 0.780974i | ||||
\(797\) | −3.26062e8 | + | 8.30793e8i | −0.644059 | + | 1.64104i | 0.117603 | + | 0.993061i | \(0.462479\pi\) |
−0.761662 | + | 0.647975i | \(0.775616\pi\) | |||||||
\(798\) | 1.61457e7 | + | 2.43358e6i | 0.0317724 | + | 0.00478891i | ||||
\(799\) | 4.97111e8 | − | 3.38925e8i | 0.974570 | − | 0.664451i | ||||
\(800\) | −2.42039e8 | + | 7.84672e8i | −0.472733 | + | 1.53256i | ||||
\(801\) | 2.98155e8 | − | 6.80520e7i | 0.580156 | − | 0.132417i | ||||
\(802\) | 7.21142e8 | − | 2.83028e8i | 1.39797 | − | 0.548663i | ||||
\(803\) | 5.05849e7 | + | 3.79081e6i | 0.0976954 | + | 0.00732126i | ||||
\(804\) | 1.95934e7 | − | 2.11167e7i | 0.0377000 | − | 0.0406310i | ||||
\(805\) | −2.56432e7 | − | 1.74832e7i | −0.0491569 | − | 0.0335146i | ||||
\(806\) | −8.02285e6 | + | 6.39801e6i | −0.0153223 | + | 0.0122191i | ||||
\(807\) | 4.14893e7 | + | 4.47148e7i | 0.0789433 | + | 0.0850806i | ||||
\(808\) | 1.46978e7 | + | 9.75137e7i | 0.0278624 | + | 0.184855i | ||||
\(809\) | 1.57210e7 | − | 6.88783e7i | 0.0296917 | − | 0.130088i | −0.957910 | − | 0.287069i | \(-0.907319\pi\) |
0.987602 | + | 0.156981i | \(0.0501762\pi\) | |||||||
\(810\) | −5.52223e8 | + | 9.56478e8i | −1.03910 | + | 1.79978i | ||||
\(811\) | 5.95883e7 | − | 3.44033e7i | 0.111712 | − | 0.0644967i | −0.443103 | − | 0.896471i | \(-0.646122\pi\) |
0.554815 | + | 0.831974i | \(0.312789\pi\) | |||||||
\(812\) | 1.81638e8 | − | 5.60279e7i | 0.339265 | − | 0.104649i | ||||
\(813\) | 2.71816e7 | + | 2.16766e7i | 0.0505829 | + | 0.0403385i | ||||
\(814\) | −9.93574e6 | − | 1.32583e8i | −0.0184216 | − | 0.245819i | ||||
\(815\) | 6.96632e8 | − | 3.35480e8i | 1.28686 | − | 0.619718i | ||||
\(816\) | 5.23059e7i | 0.0962677i | ||||||||
\(817\) | 1.55252e8 | − | 2.62185e8i | 0.284689 | − | 0.480775i | ||||
\(818\) | 4.14539e7 | 0.0757366 | ||||||||
\(819\) | −1.94421e6 | − | 4.03719e6i | −0.00353909 | − | 0.00734899i | ||||
\(820\) | −9.67235e8 | + | 7.24842e7i | −1.75425 | + | 0.131463i | ||||
\(821\) | 1.35416e8 | − | 1.69806e8i | 0.244704 | − | 0.306849i | −0.644278 | − | 0.764791i | \(-0.722842\pi\) |
0.888982 | + | 0.457942i | \(0.151413\pi\) | |||||||
\(822\) | 2.17229e7 | + | 7.04238e7i | 0.0391113 | + | 0.126796i | ||||
\(823\) | −1.35272e8 | − | 2.34298e8i | −0.242665 | − | 0.420309i | 0.718807 | − | 0.695209i | \(-0.244688\pi\) |
−0.961473 | + | 0.274901i | \(0.911355\pi\) | |||||||
\(824\) | −3.14954e7 | − | 1.81839e7i | −0.0562944 | − | 0.0325016i | ||||
\(825\) | 8.86187e6 | + | 2.02266e6i | 0.0157820 | + | 0.00360215i | ||||
\(826\) | −3.42040e8 | + | 5.15543e7i | −0.606928 | + | 0.0914797i | ||||
\(827\) | −4.15441e8 | + | 3.85473e8i | −0.734501 | + | 0.681517i | −0.955909 | − | 0.293664i | \(-0.905125\pi\) |
0.221408 | + | 0.975181i | \(0.428935\pi\) | |||||||
\(828\) | −6.15705e7 | − | 7.72069e7i | −0.108463 | − | 0.136008i | ||||
\(829\) | 4.94101e8 | − | 7.24714e8i | 0.867266 | − | 1.27205i | −0.0937615 | − | 0.995595i | \(-0.529889\pi\) |
0.961028 | − | 0.276451i | \(-0.0891585\pi\) | |||||||
\(830\) | −3.78864e8 | − | 3.51535e8i | −0.662597 | − | 0.614800i | ||||
\(831\) | −1.01931e7 | + | 1.36017e8i | −0.0177624 | + | 0.237023i | ||||
\(832\) | −8.65840e6 | − | 2.20613e7i | −0.0150338 | − | 0.0383054i | ||||
\(833\) | −1.23905e8 | − | 5.42862e8i | −0.214365 | − | 0.939193i | ||||
\(834\) | −7.34390e7 | − | 2.26529e7i | −0.126598 | − | 0.0390505i | ||||
\(835\) | −8.11539e7 | − | 1.19031e8i | −0.139396 | − | 0.204456i | ||||
\(836\) | −6.46705e6 | + | 4.29061e7i | −0.0110685 | + | 0.0734345i | ||||
\(837\) | 6.52416e7 | + | 2.56054e7i | 0.111262 | + | 0.0436673i | ||||
\(838\) | −9.76452e8 | − | 4.70234e8i | −1.65928 | − | 0.799066i | ||||
\(839\) | 228832. | − | 475174.i | 0.000387463 | − | 0.000804575i | −0.900775 | − | 0.434286i | \(-0.857001\pi\) |
0.901163 | + | 0.433481i | \(0.142715\pi\) | |||||||
\(840\) | 4.56405e6 | − | 1.16290e7i | 0.00770038 | − | 0.0196202i | ||||
\(841\) | −1.29576e7 | − | 1.95305e6i | −0.0217840 | − | 0.00328341i | ||||
\(842\) | 9.67714e8 | − | 6.59776e8i | 1.62110 | − | 1.10525i | ||||
\(843\) | 2.93700e7 | − | 9.52153e7i | 0.0490254 | − | 0.158937i | ||||
\(844\) | −8.28111e8 | + | 1.89011e8i | −1.37740 | + | 0.314383i | ||||
\(845\) | −8.21055e8 | + | 3.22240e8i | −1.36082 | + | 0.534084i | ||||
\(846\) | 9.99518e8 | + | 7.49035e7i | 1.65074 | + | 0.123706i | ||||
\(847\) | 1.17317e8 | − | 1.26438e8i | 0.193068 | − | 0.208078i | ||||
\(848\) | 2.78552e8 | + | 1.89914e8i | 0.456793 | + | 0.311436i | ||||
\(849\) | −1.10811e8 | + | 8.83691e7i | −0.181076 | + | 0.144403i | ||||
\(850\) | 7.50441e8 | + | 8.08784e8i | 1.22197 | + | 1.31697i | ||||
\(851\) | 2.01135e7 | + | 1.33444e8i | 0.0326361 | + | 0.216526i | ||||
\(852\) | 3.24786e7 | − | 1.42298e8i | 0.0525144 | − | 0.230081i | ||||
\(853\) | −1.86477e8 | + | 3.22988e8i | −0.300454 | + | 0.520402i | −0.976239 | − | 0.216697i | \(-0.930472\pi\) |
0.675785 | + | 0.737099i | \(0.263805\pi\) | |||||||
\(854\) | 1.91591e8 | − | 1.10615e8i | 0.307611 | − | 0.177599i | ||||
\(855\) | −4.79552e8 | + | 1.47922e8i | −0.767251 | + | 0.236666i | ||||
\(856\) | −5.74579e7 | − | 4.58211e7i | −0.0916069 | − | 0.0730541i | ||||
\(857\) | −6.73782e6 | − | 8.99099e7i | −0.0107048 | − | 0.142845i | 0.989290 | − | 0.145961i | \(-0.0466273\pi\) |
−0.999995 | + | 0.00311566i | \(0.999008\pi\) | |||||||
\(858\) | −350467. | + | 168776.i | −0.000554862 | + | 0.000267207i | ||||
\(859\) | − | 4.67643e8i | − | 0.737793i | −0.929470 | − | 0.368896i | \(-0.879736\pi\) | ||
0.929470 | − | 0.368896i | \(-0.120264\pi\) | |||||||
\(860\) | −8.44306e8 | − | 8.00903e8i | −1.32741 | − | 1.25917i | ||||
\(861\) | −2.35250e7 | −0.0368570 | ||||||||
\(862\) | −1.96147e7 | − | 4.07304e7i | −0.0306239 | − | 0.0635911i | ||||
\(863\) | −9.85330e8 | + | 7.38403e7i | −1.53303 | + | 0.114884i | −0.814314 | − | 0.580424i | \(-0.802887\pi\) |
−0.718711 | + | 0.695308i | \(0.755268\pi\) | |||||||
\(864\) | −1.49643e8 | + | 1.87646e8i | −0.232014 | + | 0.290937i | ||||
\(865\) | −1.15721e7 | − | 3.75159e7i | −0.0178799 | − | 0.0579651i | ||||
\(866\) | −5.65020e8 | − | 9.78644e8i | −0.869982 | − | 1.50685i | ||||
\(867\) | 7.70546e6 | + | 4.44875e6i | 0.0118234 | + | 0.00682623i | ||||
\(868\) | 1.03374e8 | + | 2.35944e7i | 0.158071 | + | 0.0360786i | ||||
\(869\) | −1.07180e8 | + | 1.61548e7i | −0.163326 | + | 0.0246174i | ||||
\(870\) | 1.39901e8 | − | 1.29809e8i | 0.212453 | − | 0.197128i | ||||
\(871\) | −3.95616e6 | − | 4.96087e6i | −0.00598714 | − | 0.00750764i | ||||
\(872\) | 6.43210e7 | − | 9.43415e7i | 0.0970070 | − | 0.142283i | ||||
\(873\) | 8.80533e7 | + | 8.17015e7i | 0.132344 | + | 0.122797i | ||||
\(874\) | 5.92324e6 | − | 7.90401e7i | 0.00887207 | − | 0.118390i | ||||
\(875\) | 1.44620e7 | + | 3.68487e7i | 0.0215876 | + | 0.0550044i | ||||
\(876\) | −2.30213e7 | − | 1.00863e8i | −0.0342466 | − | 0.150044i | ||||
\(877\) | 4.62251e8 | + | 1.42585e8i | 0.685297 | + | 0.211386i | 0.617802 | − | 0.786334i | \(-0.288023\pi\) |
0.0674946 | + | 0.997720i | \(0.478499\pi\) | |||||||
\(878\) | 5.23113e8 | + | 7.67266e8i | 0.772880 | + | 1.13361i | ||||
\(879\) | 1.92214e7 | − | 1.27526e8i | 0.0283022 | − | 0.187773i | ||||
\(880\) | −6.77461e7 | − | 2.65884e7i | −0.0994114 | − | 0.0390161i | ||||
\(881\) | −5.18838e8 | − | 2.49859e8i | −0.758759 | − | 0.365399i | 0.0141633 | − | 0.999900i | \(-0.495492\pi\) |
−0.772922 | + | 0.634501i | \(0.781206\pi\) | |||||||
\(882\) | 4.02485e8 | − | 8.35768e8i | 0.586602 | − | 1.21809i | ||||
\(883\) | −2.48974e8 | + | 6.34374e8i | −0.361636 | + | 0.921432i | 0.628050 | + | 0.778173i | \(0.283853\pi\) |
−0.989685 | + | 0.143259i | \(0.954242\pi\) | |||||||
\(884\) | −2.59424e7 | − | 3.91018e6i | −0.0375537 | − | 0.00566031i | ||||
\(885\) | −1.59445e8 | + | 1.08707e8i | −0.230028 | + | 0.156830i | ||||
\(886\) | 1.02460e8 | − | 3.32167e8i | 0.147317 | − | 0.477591i | ||||
\(887\) | −5.75002e8 | + | 1.31240e8i | −0.823945 | + | 0.188060i | −0.613650 | − | 0.789578i | \(-0.710300\pi\) |
−0.210295 | + | 0.977638i | \(0.567442\pi\) | |||||||
\(888\) | −5.05654e7 | + | 1.98455e7i | −0.0722129 | + | 0.0283415i | ||||
\(889\) | −3.64999e8 | − | 2.73529e7i | −0.519501 | − | 0.0389312i | ||||
\(890\) | 6.37660e8 | − | 6.87234e8i | 0.904523 | − | 0.974844i | ||||
\(891\) | −5.88156e7 | − | 4.00998e7i | −0.0831495 | − | 0.0566904i | ||||
\(892\) | 9.43489e8 | − | 7.52407e8i | 1.32936 | − | 1.06013i | ||||
\(893\) | 3.04055e8 | + | 3.27694e8i | 0.426971 | + | 0.460165i | ||||
\(894\) | −1.63585e7 | − | 1.08531e8i | −0.0228944 | − | 0.151895i | ||||
\(895\) | −3.87639e8 | + | 1.69836e9i | −0.540702 | + | 2.36897i | ||||
\(896\) | −7.51739e7 | + | 1.30205e8i | −0.104506 | + | 0.181011i | ||||
\(897\) | 341932. | − | 197415.i | 0.000473765 | − | 0.000273528i | ||||
\(898\) | 7.51746e8 | − | 2.31883e8i | 1.03811 | − | 0.320214i | ||||
\(899\) | 2.53700e8 | + | 2.02319e8i | 0.349174 | + | 0.278457i | ||||
\(900\) | 7.63234e7 | + | 1.01847e9i | 0.104696 | + | 1.39707i | ||||
\(901\) | 5.56990e8 | − | 2.68232e8i | 0.761505 | − | 0.366722i | ||||
\(902\) | − | 1.12508e8i | − | 0.153308i | ||||||
\(903\) | −1.89688e7 | − | 2.09010e7i | −0.0257619 | − | 0.0283860i | ||||
\(904\) | −6.38390e7 | −0.0864134 | ||||||||
\(905\) | −8.30739e8 | − | 1.72505e9i | −1.12078 | − | 2.32732i | ||||
\(906\) | 6.93963e7 | − | 5.20053e6i | 0.0933150 | − | 0.00699299i | ||||
\(907\) | −3.50459e8 | + | 4.39462e8i | −0.469695 | + | 0.588978i | −0.959096 | − | 0.283080i | \(-0.908644\pi\) |
0.489402 | + | 0.872059i | \(0.337215\pi\) | |||||||
\(908\) | −1.74883e8 | − | 5.66956e8i | −0.233609 | − | 0.757341i | ||||
\(909\) | −1.83483e8 | − | 3.17802e8i | −0.244289 | − | 0.423121i | ||||
\(910\) | −1.18960e7 | − | 6.86815e6i | −0.0157861 | − | 0.00911413i | ||||
\(911\) | −1.12306e8 | − | 2.56331e7i | −0.148542 | − | 0.0339036i | 0.147604 | − | 0.989047i | \(-0.452844\pi\) |
−0.296145 | + | 0.955143i | \(0.595701\pi\) | |||||||
\(912\) | −3.84289e7 | + | 5.79223e6i | −0.0506610 | + | 0.00763592i | ||||
\(913\) | 2.44189e7 | − | 2.26575e7i | 0.0320859 | − | 0.0297714i | ||||
\(914\) | −6.56827e8 | − | 8.23635e8i | −0.860226 | − | 1.07869i | ||||
\(915\) | 6.95263e7 | − | 1.01976e8i | 0.0907582 | − | 0.133118i | ||||
\(916\) | −8.80824e8 | − | 8.17286e8i | −1.14605 | − | 1.06338i | ||||
\(917\) | −3.09193e7 | + | 4.12589e8i | −0.0400979 | + | 0.535069i | ||||
\(918\) | 1.17814e8 | + | 3.00186e8i | 0.152290 | + | 0.388027i | ||||
\(919\) | −1.54039e8 | − | 6.74891e8i | −0.198466 | − | 0.869535i | −0.971851 | − | 0.235598i | \(-0.924295\pi\) |
0.773385 | − | 0.633937i | \(-0.218562\pi\) | |||||||
\(920\) | −5.79486e7 | − | 1.78748e7i | −0.0744182 | − | 0.0229550i | ||||
\(921\) | −9.28937e7 | − | 1.36250e8i | −0.118907 | − | 0.174405i | ||||
\(922\) | −2.60051e8 | + | 1.72533e9i | −0.331792 | + | 2.20130i | ||||
\(923\) | −2.99275e7 | − | 1.17457e7i | −0.0380597 | − | 0.0149374i | ||||
\(924\) | 3.62133e6 | + | 1.74394e6i | 0.00459042 | + | 0.00221063i | ||||
\(925\) | 6.05578e8 | − | 1.25750e9i | 0.765147 | − | 1.58884i | ||||
\(926\) | 1.43699e8 | − | 3.66140e8i | 0.180976 | − | 0.461120i | ||||
\(927\) | 1.33820e8 | + | 2.01701e7i | 0.167989 | + | 0.0253203i | ||||
\(928\) | −9.18134e8 | + | 6.25973e8i | −1.14885 | + | 0.783270i | ||||
\(929\) | 2.97972e7 | − | 9.66001e7i | 0.0371645 | − | 0.120484i | −0.935090 | − | 0.354411i | \(-0.884681\pi\) |
0.972254 | + | 0.233927i | \(0.0751576\pi\) | |||||||
\(930\) | 1.03789e8 | − | 2.36892e7i | 0.129034 | − | 0.0294512i | ||||
\(931\) | 3.85118e8 | − | 1.51148e8i | 0.477248 | − | 0.187306i | ||||
\(932\) | 1.01556e9 | + | 7.61061e7i | 1.25447 | + | 0.0940095i | ||||
\(933\) | −2.64691e7 | + | 2.85269e7i | −0.0325908 | + | 0.0351245i | ||||
\(934\) | 1.82559e9 | + | 1.24466e9i | 2.24059 | + | 1.52761i | ||||
\(935\) | −1.04338e8 | + | 8.32069e7i | −0.127646 | + | 0.101795i | ||||
\(936\) | −5.95527e6 | − | 6.41826e6i | −0.00726230 | − | 0.00782689i | ||||
\(937\) | −3.07095e7 | − | 2.03744e8i | −0.0373296 | − | 0.247666i | 0.962381 | − | 0.271702i | \(-0.0875865\pi\) |
−0.999711 | + | 0.0240360i | \(0.992348\pi\) | |||||||
\(938\) | −2.62562e7 | + | 1.15036e8i | −0.0318143 | + | 0.139388i | ||||
\(939\) | −1.66270e7 | + | 2.87989e7i | −0.0200825 | + | 0.0347839i | ||||
\(940\) | 1.47858e9 | − | 8.53656e8i | 1.78016 | − | 1.02778i | ||||
\(941\) | 9.04402e8 | − | 2.78971e8i | 1.08541 | − | 0.334804i | 0.300098 | − | 0.953908i | \(-0.402981\pi\) |
0.785308 | + | 0.619105i | \(0.212504\pi\) | |||||||
\(942\) | −1.99690e8 | − | 1.59248e8i | −0.238894 | − | 0.190511i | ||||
\(943\) | 8.53401e6 | + | 1.13878e8i | 0.0101770 | + | 0.135802i | ||||
\(944\) | 7.41763e8 | − | 3.57214e8i | 0.881758 | − | 0.424632i | ||||
\(945\) | 9.38183e7i | 0.111171i | ||||||||
\(946\) | 9.99591e7 | − | 9.07184e7i | 0.118073 | − | 0.107157i | ||||
\(947\) | 4.88955e8 | 0.575730 | 0.287865 | − | 0.957671i | \(-0.407055\pi\) | ||||
0.287865 | + | 0.957671i | \(0.407055\pi\) | |||||||
\(948\) | 9.59154e7 | + | 1.99170e8i | 0.112581 | + | 0.233776i | ||||
\(949\) | −2.27246e7 | + | 1.70298e6i | −0.0265888 | + | 0.00199255i | ||||
\(950\) | −5.11108e8 | + | 6.40909e8i | −0.596131 | + | 0.747524i | ||||
\(951\) | −9.98400e6 | − | 3.23673e7i | −0.0116081 | − | 0.0376327i | ||||
\(952\) | 4.88663e7 | + | 8.46389e7i | 0.0566368 | + | 0.0980978i | ||||
\(953\) | 9.46473e8 | + | 5.46446e8i | 1.09353 | + | 0.631348i | 0.934513 | − | 0.355928i | \(-0.115835\pi\) |
0.159013 | + | 0.987276i | \(0.449169\pi\) | |||||||
\(954\) | 1.00408e9 | + | 2.29175e8i | 1.15644 | + | 0.263950i | ||||
\(955\) | −2.38287e9 | + | 3.59160e8i | −2.73584 | + | 0.412361i | ||||
\(956\) | 1.07912e9 | − | 1.00128e9i | 1.23509 | − | 1.14599i | ||||
\(957\) | 7.66934e6 | + | 9.61705e6i | 0.00875029 | + | 0.0109725i | ||||
\(958\) | 1.08129e8 | − | 1.58597e8i | 0.122984 | − | 0.180384i | ||||
\(959\) | −1.22961e8 | − | 1.14091e8i | −0.139415 | − | 0.129359i | ||||
\(960\) | −1.83738e7 | + | 2.45182e8i | −0.0207676 | + | 0.277124i | ||||
\(961\) | −2.58111e8 | − | 6.57657e8i | −0.290828 | − | 0.741018i | ||||
\(962\) | 1.32908e7 | + | 5.82309e7i | 0.0149289 | + | 0.0654076i | ||||
\(963\) | 2.61326e8 | + | 8.06084e7i | 0.292620 | + | 0.0902613i | ||||
\(964\) | 8.58141e7 | + | 1.25866e8i | 0.0957916 | + | 0.140501i | ||||
\(965\) | −2.04014e8 | + | 1.35355e9i | −0.227028 | + | 1.50623i | ||||
\(966\) | −6.83465e6 | − | 2.68240e6i | −0.00758202 | − | 0.00297572i | ||||
\(967\) | −3.28371e8 | − | 1.58135e8i | −0.363149 | − | 0.174883i | 0.243407 | − | 0.969924i | \(-0.421735\pi\) |
−0.606556 | + | 0.795041i | \(0.707449\pi\) | |||||||
\(968\) | 1.46227e8 | − | 3.03644e8i | 0.161214 | − | 0.334764i | ||||
\(969\) | −2.60358e7 | + | 6.63382e7i | −0.0286154 | + | 0.0729108i | ||||
\(970\) | 3.64111e8 | + | 5.48808e7i | 0.398950 | + | 0.0601320i | ||||
\(971\) | −1.05687e9 | + | 7.20560e8i | −1.15442 | + | 0.787068i | −0.980272 | − | 0.197652i | \(-0.936668\pi\) |
−0.174144 | + | 0.984720i | \(0.555716\pi\) | |||||||
\(972\) | −1.32378e8 | + | 4.29160e8i | −0.144151 | + | 0.467327i | ||||
\(973\) | 1.70534e8 | − | 3.89233e7i | 0.185128 | − | 0.0422543i | ||||
\(974\) | −8.85354e8 | + | 3.47476e8i | −0.958165 | + | 0.376052i | ||||
\(975\) | −4.07205e6 | − | 305158.i | −0.00439338 | − | 0.000329238i | ||||
\(976\) | −3.58150e8 | + | 3.85994e8i | −0.385226 | + | 0.415174i | ||||
\(977\) | 1.05089e9 | + | 7.16485e8i | 1.12687 | + | 0.768287i | 0.975458 | − | 0.220184i | \(-0.0706658\pi\) |
0.151411 | + | 0.988471i | \(0.451618\pi\) | |||||||
\(978\) | 1.43010e8 | − | 1.14047e8i | 0.152879 | − | 0.121917i | ||||
\(979\) | 4.10991e7 | + | 4.42943e7i | 0.0438010 | + | 0.0472063i | ||||
\(980\) | −2.35500e8 | − | 1.56244e9i | −0.250215 | − | 1.66007i | ||||
\(981\) | −9.45476e7 | + | 4.14240e8i | −0.100148 | + | 0.438778i | ||||
\(982\) | −4.94008e8 | + | 8.55647e8i | −0.521674 | + | 0.903566i | ||||
\(983\) | −1.12320e9 | + | 6.48477e8i | −1.18248 | + | 0.682707i | −0.956588 | − | 0.291445i | \(-0.905864\pi\) |
−0.225895 | + | 0.974152i | \(0.572531\pi\) | |||||||
\(984\) | −4.39245e7 | + | 1.35489e7i | −0.0461022 | + | 0.0142206i | ||||
\(985\) | −1.25901e9 | − | 1.00403e9i | −1.31741 | − | 1.05060i | ||||
\(986\) | 1.11576e8 | + | 1.48887e9i | 0.116396 | + | 1.55320i | ||||
\(987\) | 3.73082e7 | − | 1.79667e7i | 0.0388019 | − | 0.0186860i | ||||
\(988\) | − | 1.94928e7i | − | 0.0202117i | ||||||
\(989\) | −9.42952e7 | + | 9.94053e7i | −0.0974766 | + | 0.102759i | ||||
\(990\) | −2.22325e8 | −0.229131 | ||||||||
\(991\) | 3.41440e8 | + | 7.09007e8i | 0.350827 | + | 0.728500i | 0.999469 | − | 0.0325938i | \(-0.0103768\pi\) |
−0.648641 | + | 0.761094i | \(0.724662\pi\) | |||||||
\(992\) | −6.18128e8 | + | 4.63223e7i | −0.633204 | + | 0.0474521i | ||||
\(993\) | −9.20023e7 | + | 1.15367e8i | −0.0939617 | + | 0.117824i | ||||
\(994\) | 1.76221e8 | + | 5.71294e8i | 0.179431 | + | 0.581702i | ||||
\(995\) | −4.99522e8 | − | 8.65197e8i | −0.507090 | − | 0.878306i | ||||
\(996\) | −5.88362e7 | − | 3.39691e7i | −0.0595479 | − | 0.0343800i | ||||
\(997\) | 4.85988e8 | + | 1.10924e8i | 0.490388 | + | 0.111928i | 0.460563 | − | 0.887627i | \(-0.347648\pi\) |
0.0298256 | + | 0.999555i | \(0.490505\pi\) | |||||||
\(998\) | −1.52854e9 | + | 2.30391e8i | −1.53775 | + | 0.231779i | ||||
\(999\) | 2.99043e8 | − | 2.77471e8i | 0.299942 | − | 0.278305i |
(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 | 43.7.h.a.29.3 | yes | 252 | |
43.3 | odd | 42 | inner | 43.7.h.a.3.3 | ✓ | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.3.3 | ✓ | 252 | 43.3 | odd | 42 | inner | |
43.7.h.a.29.3 | yes | 252 | 1.1 | even | 1 | trivial |