Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,6,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.g (of order \(8\), degree \(4\), 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: | \(5.13228223402\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 13.1 | ||
Character | \(\chi\) | \(=\) | 32.13 |
Dual form | 32.6.g.a.5.1 |
$q$-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 \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.53109 | − | 1.18618i | −0.977768 | − | 0.209688i | ||||
\(3\) | 7.44181 | − | 17.9661i | 0.477392 | − | 1.15253i | −0.483435 | − | 0.875380i | \(-0.660611\pi\) |
0.960828 | − | 0.277147i | \(-0.0893888\pi\) | |||||||
\(4\) | 29.1860 | + | 13.1217i | 0.912061 | + | 0.410053i | ||||
\(5\) | 29.7710 | − | 12.3316i | 0.532560 | − | 0.220593i | −0.100164 | − | 0.994971i | \(-0.531937\pi\) |
0.632724 | + | 0.774377i | \(0.281937\pi\) | |||||||
\(6\) | −62.4723 | + | 90.5449i | −0.708451 | + | 1.02680i | ||||
\(7\) | 32.2015 | − | 32.2015i | 0.248388 | − | 0.248388i | −0.571921 | − | 0.820309i | \(-0.693802\pi\) |
0.820309 | + | 0.571921i | \(0.193802\pi\) | |||||||
\(8\) | −145.866 | − | 107.197i | −0.805801 | − | 0.592186i | ||||
\(9\) | −95.5738 | − | 95.5738i | −0.393308 | − | 0.393308i | ||||
\(10\) | −179.294 | + | 32.8933i | −0.566976 | + | 0.104018i | ||||
\(11\) | −264.516 | − | 638.598i | −0.659128 | − | 1.59128i | −0.799152 | − | 0.601129i | \(-0.794718\pi\) |
0.140024 | − | 0.990148i | \(-0.455282\pi\) | |||||||
\(12\) | 452.943 | − | 426.709i | 0.908009 | − | 0.855419i | ||||
\(13\) | −289.898 | − | 120.079i | −0.475758 | − | 0.197065i | 0.131902 | − | 0.991263i | \(-0.457892\pi\) |
−0.607660 | + | 0.794197i | \(0.707892\pi\) | |||||||
\(14\) | −216.306 | + | 139.913i | −0.294950 | + | 0.190782i | ||||
\(15\) | − | 626.638i | − | 0.719099i | ||||||
\(16\) | 679.641 | + | 765.940i | 0.663712 | + | 0.747988i | ||||
\(17\) | 556.009i | 0.466616i | 0.972403 | + | 0.233308i | \(0.0749550\pi\) | ||||
−0.972403 | + | 0.233308i | \(0.925045\pi\) | |||||||
\(18\) | 415.260 | + | 641.995i | 0.302092 | + | 0.467036i | ||||
\(19\) | −397.755 | − | 164.755i | −0.252773 | − | 0.104702i | 0.252699 | − | 0.967545i | \(-0.418682\pi\) |
−0.505472 | + | 0.862843i | \(0.668682\pi\) | |||||||
\(20\) | 1030.71 | + | 30.7382i | 0.576182 | + | 0.0171832i | ||||
\(21\) | −338.898 | − | 818.173i | −0.167695 | − | 0.404852i | ||||
\(22\) | 705.572 | + | 3845.91i | 0.310802 | + | 1.69411i | ||||
\(23\) | 1123.74 | + | 1123.74i | 0.442942 | + | 0.442942i | 0.893000 | − | 0.450057i | \(-0.148597\pi\) |
−0.450057 | + | 0.893000i | \(0.648597\pi\) | |||||||
\(24\) | −3011.42 | + | 1822.90i | −1.06719 | + | 0.646003i | ||||
\(25\) | −1475.46 | + | 1475.46i | −0.472148 | + | 0.472148i | ||||
\(26\) | 1461.01 | + | 1008.04i | 0.423859 | + | 0.292445i | ||||
\(27\) | 1937.43 | − | 802.511i | 0.511467 | − | 0.211856i | ||||
\(28\) | 1362.37 | − | 517.293i | 0.328398 | − | 0.124693i | ||||
\(29\) | 2907.33 | − | 7018.91i | 0.641947 | − | 1.54980i | −0.182103 | − | 0.983279i | \(-0.558290\pi\) |
0.824050 | − | 0.566517i | \(-0.191710\pi\) | |||||||
\(30\) | −743.304 | + | 3465.99i | −0.150787 | + | 0.703112i | ||||
\(31\) | 9420.84 | 1.76070 | 0.880350 | − | 0.474325i | \(-0.157308\pi\) | ||||
0.880350 | + | 0.474325i | \(0.157308\pi\) | |||||||
\(32\) | −2850.62 | − | 5042.66i | −0.492112 | − | 0.870532i | ||||
\(33\) | −13441.6 | −2.14865 | ||||||||
\(34\) | 659.525 | − | 3075.34i | 0.0978440 | − | 0.456242i | ||||
\(35\) | 561.576 | − | 1355.76i | 0.0774887 | − | 0.187074i | ||||
\(36\) | −1535.32 | − | 4043.51i | −0.197444 | − | 0.519998i | ||||
\(37\) | −4987.93 | + | 2066.07i | −0.598985 | + | 0.248108i | −0.661511 | − | 0.749935i | \(-0.730084\pi\) |
0.0625256 | + | 0.998043i | \(0.480084\pi\) | |||||||
\(38\) | 2004.59 | + | 1383.08i | 0.225199 | + | 0.155378i | ||||
\(39\) | −4314.72 | + | 4314.72i | −0.454246 | + | 0.454246i | ||||
\(40\) | −5664.47 | − | 1392.62i | −0.559770 | − | 0.137620i | ||||
\(41\) | 150.299 | + | 150.299i | 0.0139636 | + | 0.0139636i | 0.714054 | − | 0.700091i | \(-0.246857\pi\) |
−0.700091 | + | 0.714054i | \(0.746857\pi\) | |||||||
\(42\) | 903.980 | + | 4927.38i | 0.0790743 | + | 0.431016i | ||||
\(43\) | 8133.92 | + | 19637.0i | 0.670855 | + | 1.61959i | 0.780161 | + | 0.625579i | \(0.215137\pi\) |
−0.109306 | + | 0.994008i | \(0.534863\pi\) | |||||||
\(44\) | 659.344 | − | 22109.0i | 0.0513429 | − | 1.72162i | ||||
\(45\) | −4023.90 | − | 1666.75i | −0.296221 | − | 0.122699i | ||||
\(46\) | −4882.56 | − | 7548.48i | −0.340215 | − | 0.525975i | ||||
\(47\) | − | 16789.3i | − | 1.10864i | −0.832305 | − | 0.554318i | \(-0.812979\pi\) | ||
0.832305 | − | 0.554318i | \(-0.187021\pi\) | |||||||
\(48\) | 18818.7 | − | 6510.54i | 1.17893 | − | 0.407863i | ||||
\(49\) | 14733.1i | 0.876607i | ||||||||
\(50\) | 9911.09 | − | 6410.76i | 0.560656 | − | 0.362648i | ||||
\(51\) | 9989.32 | + | 4137.71i | 0.537787 | + | 0.222759i | ||||
\(52\) | −6885.29 | − | 7308.59i | −0.353113 | − | 0.374822i | ||||
\(53\) | 10832.9 | + | 26152.9i | 0.529730 | + | 1.27888i | 0.931700 | + | 0.363228i | \(0.118325\pi\) |
−0.401971 | + | 0.915653i | \(0.631675\pi\) | |||||||
\(54\) | −11668.0 | + | 2140.62i | −0.544520 | + | 0.0998978i | ||||
\(55\) | −15749.8 | − | 15749.8i | −0.702051 | − | 0.702051i | ||||
\(56\) | −8148.99 | + | 1245.18i | −0.347243 | + | 0.0530595i | ||||
\(57\) | −5920.03 | + | 5920.03i | −0.241344 | + | 0.241344i | ||||
\(58\) | −24406.4 | + | 35373.6i | −0.952650 | + | 1.38073i | ||||
\(59\) | 33329.5 | − | 13805.5i | 1.24652 | − | 0.516326i | 0.340774 | − | 0.940145i | \(-0.389311\pi\) |
0.905747 | + | 0.423820i | \(0.139311\pi\) | |||||||
\(60\) | 8222.57 | − | 18289.0i | 0.294869 | − | 0.655863i | ||||
\(61\) | 5376.72 | − | 12980.5i | 0.185009 | − | 0.446651i | −0.803977 | − | 0.594660i | \(-0.797287\pi\) |
0.988986 | + | 0.148009i | \(0.0472865\pi\) | |||||||
\(62\) | −52107.5 | − | 11174.8i | −1.72156 | − | 0.369199i | ||||
\(63\) | −6155.24 | −0.195386 | ||||||||
\(64\) | 9785.55 | + | 31272.7i | 0.298631 | + | 0.954369i | ||||
\(65\) | −10111.3 | −0.296841 | ||||||||
\(66\) | 74346.7 | + | 15944.1i | 2.10088 | + | 0.450548i | ||||
\(67\) | −11363.9 | + | 27434.9i | −0.309272 | + | 0.746648i | 0.690458 | + | 0.723373i | \(0.257409\pi\) |
−0.999729 | + | 0.0232747i | \(0.992591\pi\) | |||||||
\(68\) | −7295.79 | + | 16227.7i | −0.191337 | + | 0.425582i | ||||
\(69\) | 28551.9 | − | 11826.6i | 0.721960 | − | 0.299046i | ||||
\(70\) | −4714.30 | + | 6832.73i | −0.114993 | + | 0.166667i | ||||
\(71\) | −16553.4 | + | 16553.4i | −0.389710 | + | 0.389710i | −0.874584 | − | 0.484874i | \(-0.838865\pi\) |
0.484874 | + | 0.874584i | \(0.338865\pi\) | |||||||
\(72\) | 3695.69 | + | 24186.2i | 0.0840166 | + | 0.549839i | ||||
\(73\) | 4830.08 | + | 4830.08i | 0.106083 | + | 0.106083i | 0.758156 | − | 0.652073i | \(-0.226100\pi\) |
−0.652073 | + | 0.758156i | \(0.726100\pi\) | |||||||
\(74\) | 30039.4 | − | 5511.05i | 0.637694 | − | 0.116992i | ||||
\(75\) | 15528.2 | + | 37488.5i | 0.318764 | + | 0.769564i | ||||
\(76\) | −9446.98 | − | 10027.8i | −0.187611 | − | 0.199145i | ||||
\(77\) | −29081.6 | − | 12046.0i | −0.558974 | − | 0.231535i | ||||
\(78\) | 28983.2 | − | 18747.1i | 0.539398 | − | 0.348897i | ||||
\(79\) | − | 37958.6i | − | 0.684294i | −0.939646 | − | 0.342147i | \(-0.888846\pi\) | ||
0.939646 | − | 0.342147i | \(-0.111154\pi\) | |||||||
\(80\) | 29678.8 | + | 14421.8i | 0.518468 | + | 0.251938i | ||||
\(81\) | − | 73624.6i | − | 1.24684i | ||||||
\(82\) | −653.036 | − | 1009.60i | −0.0107251 | − | 0.0165811i | ||||
\(83\) | −9998.07 | − | 4141.34i | −0.159302 | − | 0.0659850i | 0.301608 | − | 0.953432i | \(-0.402477\pi\) |
−0.460910 | + | 0.887447i | \(0.652477\pi\) | |||||||
\(84\) | 844.753 | − | 28326.1i | 0.0130627 | − | 0.438014i | ||||
\(85\) | 6856.45 | + | 16552.9i | 0.102932 | + | 0.248501i | ||||
\(86\) | −21696.5 | − | 118262.i | −0.316332 | − | 1.72425i | ||||
\(87\) | −104467. | − | 104467.i | −1.47972 | − | 1.47972i | ||||
\(88\) | −29872.1 | + | 121505.i | −0.411205 | + | 1.67258i | ||||
\(89\) | −54005.0 | + | 54005.0i | −0.722701 | + | 0.722701i | −0.969155 | − | 0.246453i | \(-0.920735\pi\) |
0.246453 | + | 0.969155i | \(0.420735\pi\) | |||||||
\(90\) | 20279.5 | + | 13992.0i | 0.263907 | + | 0.182085i | ||||
\(91\) | −13201.9 | + | 5468.39i | −0.167121 | + | 0.0692239i | ||||
\(92\) | 18052.1 | + | 47542.9i | 0.222360 | + | 0.585620i | ||||
\(93\) | 70108.1 | − | 169256.i | 0.840545 | − | 2.02925i | ||||
\(94\) | −19915.1 | + | 92863.4i | −0.232468 | + | 1.08399i | ||||
\(95\) | −13873.2 | −0.157714 | ||||||||
\(96\) | −111811. | + | 13688.1i | −1.23824 | + | 0.151588i | ||||
\(97\) | 30631.2 | 0.330548 | 0.165274 | − | 0.986248i | \(-0.447149\pi\) | ||||
0.165274 | + | 0.986248i | \(0.447149\pi\) | |||||||
\(98\) | 17476.1 | − | 81490.3i | 0.183814 | − | 0.857118i | ||||
\(99\) | −35752.4 | + | 86314.0i | −0.366621 | + | 0.885102i | ||||
\(100\) | −62423.4 | + | 23702.2i | −0.624234 | + | 0.237022i | ||||
\(101\) | 123855. | − | 51302.2i | 1.20812 | − | 0.500418i | 0.314503 | − | 0.949257i | \(-0.398162\pi\) |
0.893613 | + | 0.448839i | \(0.148162\pi\) | |||||||
\(102\) | −50343.8 | − | 34735.2i | −0.479121 | − | 0.330574i | ||||
\(103\) | 8375.37 | − | 8375.37i | 0.0777877 | − | 0.0777877i | −0.667142 | − | 0.744930i | \(-0.732483\pi\) |
0.744930 | + | 0.667142i | \(0.232483\pi\) | |||||||
\(104\) | 29413.9 | + | 48591.6i | 0.266667 | + | 0.440533i | ||||
\(105\) | −20178.7 | − | 20178.7i | −0.178616 | − | 0.178616i | ||||
\(106\) | −28895.7 | − | 157504.i | −0.249786 | − | 1.36153i | ||||
\(107\) | −53237.1 | − | 128526.i | −0.449526 | − | 1.08525i | −0.972500 | − | 0.232903i | \(-0.925178\pi\) |
0.522974 | − | 0.852348i | \(-0.324822\pi\) | |||||||
\(108\) | 67076.2 | + | 2000.38i | 0.553362 | + | 0.0165026i | ||||
\(109\) | 145524. | + | 60278.0i | 1.17319 | + | 0.485951i | 0.882246 | − | 0.470789i | \(-0.156031\pi\) |
0.290944 | + | 0.956740i | \(0.406031\pi\) | |||||||
\(110\) | 68431.6 | + | 105796.i | 0.539231 | + | 0.833655i | ||||
\(111\) | 104989.i | 0.808791i | ||||||||
\(112\) | 46549.8 | + | 2778.93i | 0.350649 | + | 0.0209331i | ||||
\(113\) | 204557.i | 1.50702i | 0.657437 | + | 0.753509i | \(0.271640\pi\) | ||||
−0.657437 | + | 0.753509i | \(0.728360\pi\) | |||||||
\(114\) | 39766.4 | − | 25722.0i | 0.286586 | − | 0.185371i | ||||
\(115\) | 47312.4 | + | 19597.4i | 0.333603 | + | 0.138183i | ||||
\(116\) | 176953. | − | 166705.i | 1.22099 | − | 1.15028i | ||||
\(117\) | 16230.2 | + | 39183.1i | 0.109612 | + | 0.264627i | ||||
\(118\) | −200725. | + | 36825.0i | −1.32708 | + | 0.243466i | ||||
\(119\) | 17904.3 | + | 17904.3i | 0.115902 | + | 0.115902i | ||||
\(120\) | −67173.8 | + | 91405.0i | −0.425840 | + | 0.579451i | ||||
\(121\) | −223958. | + | 223958.i | −1.39061 | + | 1.39061i | ||||
\(122\) | −45136.4 | + | 65418.9i | −0.274553 | + | 0.397927i | ||||
\(123\) | 3818.78 | − | 1581.79i | 0.0227595 | − | 0.00942728i | ||||
\(124\) | 274956. | + | 123618.i | 1.60587 | + | 0.721981i | ||||
\(125\) | −64267.4 | + | 155155.i | −0.367888 | + | 0.888160i | ||||
\(126\) | 34045.2 | + | 7301.20i | 0.191042 | + | 0.0409702i | ||||
\(127\) | 67021.0 | 0.368724 | 0.184362 | − | 0.982858i | \(-0.440978\pi\) | ||||
0.184362 | + | 0.982858i | \(0.440978\pi\) | |||||||
\(128\) | −17029.8 | − | 184580.i | −0.0918722 | − | 0.995771i | ||||
\(129\) | 413332. | 2.18688 | ||||||||
\(130\) | 55926.6 | + | 11993.8i | 0.290242 | + | 0.0622441i | ||||
\(131\) | −130652. | + | 315423.i | −0.665180 | + | 1.60589i | 0.124395 | + | 0.992233i | \(0.460301\pi\) |
−0.789575 | + | 0.613654i | \(0.789699\pi\) | |||||||
\(132\) | −392306. | − | 176377.i | −1.95970 | − | 0.881062i | ||||
\(133\) | −18113.6 | + | 7502.92i | −0.0887926 | + | 0.0367791i | ||||
\(134\) | 95397.3 | − | 138265.i | 0.458959 | − | 0.665198i | ||||
\(135\) | 47783.1 | − | 47783.1i | 0.225652 | − | 0.225652i | ||||
\(136\) | 59602.6 | − | 81102.6i | 0.276323 | − | 0.376000i | ||||
\(137\) | −164906. | − | 164906.i | −0.750645 | − | 0.750645i | 0.223955 | − | 0.974600i | \(-0.428103\pi\) |
−0.974600 | + | 0.223955i | \(0.928103\pi\) | |||||||
\(138\) | −171952. | + | 31546.4i | −0.768616 | + | 0.141011i | ||||
\(139\) | −145580. | − | 351461.i | −0.639093 | − | 1.54291i | −0.827889 | − | 0.560891i | \(-0.810458\pi\) |
0.188796 | − | 0.982016i | \(-0.439542\pi\) | |||||||
\(140\) | 34180.1 | − | 32200.5i | 0.147385 | − | 0.138849i | ||||
\(141\) | −301639. | − | 124943.i | −1.27773 | − | 0.529254i | ||||
\(142\) | 111194. | − | 71923.1i | 0.462763 | − | 0.299328i | ||||
\(143\) | 216891.i | 0.886954i | ||||||||
\(144\) | 8247.86 | − | 138160.i | 0.0331463 | − | 0.555233i | ||||
\(145\) | − | 244812.i | − | 0.966969i | ||||||
\(146\) | −20986.3 | − | 32444.9i | −0.0814804 | − | 0.125969i | ||||
\(147\) | 264697. | + | 109641.i | 1.01031 | + | 0.418485i | ||||
\(148\) | −172688. | − | 5149.98i | −0.648049 | − | 0.0193264i | ||||
\(149\) | 17101.9 | + | 41287.6i | 0.0631071 | + | 0.152354i | 0.952287 | − | 0.305203i | \(-0.0987244\pi\) |
−0.889180 | + | 0.457557i | \(0.848724\pi\) | |||||||
\(150\) | −41420.1 | − | 225771.i | −0.150308 | − | 0.819296i | ||||
\(151\) | −142342. | − | 142342.i | −0.508030 | − | 0.508030i | 0.405891 | − | 0.913921i | \(-0.366961\pi\) |
−0.913921 | + | 0.405891i | \(0.866961\pi\) | |||||||
\(152\) | 40357.4 | + | 66670.3i | 0.141682 | + | 0.234058i | ||||
\(153\) | 53139.9 | − | 53139.9i | 0.183524 | − | 0.183524i | ||||
\(154\) | 146564. | + | 101123.i | 0.497997 | + | 0.343597i | ||||
\(155\) | 280468. | − | 116174.i | 0.937678 | − | 0.388399i | ||||
\(156\) | −182546. | + | 69312.8i | −0.600566 | + | 0.228035i | ||||
\(157\) | 14982.2 | − | 36170.2i | 0.0485095 | − | 0.117112i | −0.897767 | − | 0.440470i | \(-0.854812\pi\) |
0.946277 | + | 0.323358i | \(0.104812\pi\) | |||||||
\(158\) | −45025.7 | + | 209953.i | −0.143489 | + | 0.669081i | ||||
\(159\) | 550482. | 1.72683 | ||||||||
\(160\) | −147050. | − | 114972.i | −0.454113 | − | 0.355053i | ||||
\(161\) | 72372.3 | 0.220043 | ||||||||
\(162\) | −87331.8 | + | 407224.i | −0.261448 | + | 1.21912i | ||||
\(163\) | 66616.5 | − | 160826.i | 0.196387 | − | 0.474120i | −0.794754 | − | 0.606931i | \(-0.792400\pi\) |
0.991141 | + | 0.132811i | \(0.0424003\pi\) | |||||||
\(164\) | 2414.44 | + | 6358.80i | 0.00700982 | + | 0.0184614i | ||||
\(165\) | −400170. | + | 165756.i | −1.14429 | + | 0.473979i | ||||
\(166\) | 50387.9 | + | 34765.6i | 0.141924 | + | 0.0979218i | ||||
\(167\) | −177268. | + | 177268.i | −0.491858 | + | 0.491858i | −0.908891 | − | 0.417033i | \(-0.863070\pi\) |
0.417033 | + | 0.908891i | \(0.363070\pi\) | |||||||
\(168\) | −38272.2 | + | 155672.i | −0.104619 | + | 0.425537i | ||||
\(169\) | −192922. | − | 192922.i | −0.519596 | − | 0.519596i | ||||
\(170\) | −18289.0 | − | 99688.8i | −0.0485363 | − | 0.264560i | ||||
\(171\) | 22268.6 | + | 53761.2i | 0.0582376 | + | 0.140598i | ||||
\(172\) | −20275.0 | + | 679856.i | −0.0522563 | + | 1.75225i | ||||
\(173\) | −556579. | − | 230542.i | −1.41388 | − | 0.585647i | −0.460562 | − | 0.887628i | \(-0.652352\pi\) |
−0.953314 | + | 0.301981i | \(0.902352\pi\) | |||||||
\(174\) | 453899. | + | 701732.i | 1.13654 | + | 1.75711i | ||||
\(175\) | 95024.2i | 0.234552i | ||||||||
\(176\) | 309351. | − | 636621.i | 0.752784 | − | 1.54917i | ||||
\(177\) | − | 701541.i | − | 1.68314i | ||||||
\(178\) | 362766. | − | 234647.i | 0.858177 | − | 0.555092i | ||||
\(179\) | −163850. | − | 67868.7i | −0.382219 | − | 0.158320i | 0.183297 | − | 0.983058i | \(-0.441323\pi\) |
−0.565516 | + | 0.824737i | \(0.691323\pi\) | |||||||
\(180\) | −95570.8 | − | 101446.i | −0.219859 | − | 0.233375i | ||||
\(181\) | 256185. | + | 618486.i | 0.581243 | + | 1.40324i | 0.891687 | + | 0.452653i | \(0.149522\pi\) |
−0.310444 | + | 0.950592i | \(0.600478\pi\) | |||||||
\(182\) | 79507.2 | − | 14586.4i | 0.177921 | − | 0.0326415i | ||||
\(183\) | −193197. | − | 193197.i | −0.426456 | − | 0.426456i | ||||
\(184\) | −43453.4 | − | 284377.i | −0.0946192 | − | 0.619227i | ||||
\(185\) | −123018. | + | 123018.i | −0.264265 | + | 0.264265i | ||||
\(186\) | −588542. | + | 853009.i | −1.24737 | + | 1.80789i | ||||
\(187\) | 355066. | − | 147073.i | 0.742515 | − | 0.307560i | ||||
\(188\) | 220305. | − | 490013.i | 0.454600 | − | 1.01114i | ||||
\(189\) | 36546.2 | − | 88230.3i | 0.0744196 | − | 0.179665i | ||||
\(190\) | 76734.2 | + | 16456.1i | 0.154207 | + | 0.0330707i | ||||
\(191\) | 283403. | 0.562110 | 0.281055 | − | 0.959692i | \(-0.409316\pi\) | ||||
0.281055 | + | 0.959692i | \(0.409316\pi\) | |||||||
\(192\) | 634672. | + | 56917.4i | 1.24250 | + | 0.111427i | ||||
\(193\) | 280359. | 0.541778 | 0.270889 | − | 0.962611i | \(-0.412682\pi\) | ||||
0.270889 | + | 0.962611i | \(0.412682\pi\) | |||||||
\(194\) | −169424. | − | 36334.1i | −0.323200 | − | 0.0693122i | ||||
\(195\) | −75246.4 | + | 181661.i | −0.141710 | + | 0.342117i | ||||
\(196\) | −193324. | + | 430001.i | −0.359456 | + | 0.799519i | ||||
\(197\) | −601655. | + | 249213.i | −1.10454 | + | 0.457516i | −0.859054 | − | 0.511884i | \(-0.828948\pi\) |
−0.245486 | + | 0.969400i | \(0.578948\pi\) | |||||||
\(198\) | 300134. | − | 435002.i | 0.544066 | − | 0.788549i | ||||
\(199\) | 50199.9 | − | 50199.9i | 0.0898607 | − | 0.0898607i | −0.660748 | − | 0.750608i | \(-0.729761\pi\) |
0.750608 | + | 0.660748i | \(0.229761\pi\) | |||||||
\(200\) | 373385. | − | 57053.9i | 0.660057 | − | 0.100858i | ||||
\(201\) | 408330. | + | 408330.i | 0.712888 | + | 0.712888i | ||||
\(202\) | −745905. | + | 136844.i | −1.28619 | + | 0.235965i | ||||
\(203\) | −132399. | − | 319640.i | −0.225499 | − | 0.544403i | ||||
\(204\) | 237254. | + | 251840.i | 0.399152 | + | 0.423691i | ||||
\(205\) | 6327.97 | + | 2621.13i | 0.0105167 | + | 0.00435616i | ||||
\(206\) | −56259.6 | + | 36390.3i | −0.0923696 | + | 0.0597472i | ||||
\(207\) | − | 214801.i | − | 0.348425i | ||||||
\(208\) | −105053. | − | 303655.i | −0.168364 | − | 0.486656i | ||||
\(209\) | 297586.i | 0.471244i | ||||||||
\(210\) | 87674.6 | + | 135546.i | 0.137191 | + | 0.212098i | ||||
\(211\) | −1.00741e6 | − | 417281.i | −1.55775 | − | 0.645242i | −0.573055 | − | 0.819517i | \(-0.694242\pi\) |
−0.984697 | + | 0.174275i | \(0.944242\pi\) | |||||||
\(212\) | −27002.5 | + | 905443.i | −0.0412634 | + | 1.38364i | ||||
\(213\) | 174213. | + | 420587.i | 0.263107 | + | 0.635195i | ||||
\(214\) | 142005. | + | 774036.i | 0.211967 | + | 1.15538i | ||||
\(215\) | 484310. | + | 484310.i | 0.714541 | + | 0.714541i | ||||
\(216\) | −368632. | − | 90628.5i | −0.537599 | − | 0.132169i | ||||
\(217\) | 303365. | − | 303365.i | 0.437337 | − | 0.437337i | ||||
\(218\) | −733407. | − | 506021.i | −1.04521 | − | 0.721152i | ||||
\(219\) | 122722. | − | 50833.2i | 0.172907 | − | 0.0716205i | ||||
\(220\) | −253009. | − | 666338.i | −0.352435 | − | 0.928192i | ||||
\(221\) | 66765.3 | − | 161186.i | 0.0919538 | − | 0.221996i | ||||
\(222\) | 124536. | − | 580704.i | 0.169594 | − | 0.790811i | ||||
\(223\) | 362960. | 0.488761 | 0.244380 | − | 0.969679i | \(-0.421415\pi\) | ||||
0.244380 | + | 0.969679i | \(0.421415\pi\) | |||||||
\(224\) | −254175. | − | 70586.9i | −0.338464 | − | 0.0939948i | ||||
\(225\) | 282031. | 0.371399 | ||||||||
\(226\) | 242641. | − | 1.13142e6i | 0.316004 | − | 1.47352i | ||||
\(227\) | −14996.3 | + | 36204.3i | −0.0193161 | + | 0.0466333i | −0.933243 | − | 0.359245i | \(-0.883034\pi\) |
0.913927 | + | 0.405878i | \(0.133034\pi\) | |||||||
\(228\) | −250463. | + | 95100.8i | −0.319085 | + | 0.121157i | ||||
\(229\) | 1.20157e6 | − | 497708.i | 1.51413 | − | 0.627171i | 0.537722 | − | 0.843122i | \(-0.319285\pi\) |
0.976404 | + | 0.215951i | \(0.0692851\pi\) | |||||||
\(230\) | −238443. | − | 164516.i | −0.297211 | − | 0.205064i | ||||
\(231\) | −432839. | + | 432839.i | −0.533699 | + | 0.533699i | ||||
\(232\) | −1.17649e6 | + | 712160.i | −1.43505 | + | 0.868676i | ||||
\(233\) | 68666.3 | + | 68666.3i | 0.0828617 | + | 0.0828617i | 0.747323 | − | 0.664461i | \(-0.231339\pi\) |
−0.664461 | + | 0.747323i | \(0.731339\pi\) | |||||||
\(234\) | −43292.4 | − | 235977.i | −0.0516859 | − | 0.281728i | ||||
\(235\) | −207039. | − | 499836.i | −0.244558 | − | 0.590415i | ||||
\(236\) | 1.15391e6 | + | 34412.3i | 1.34862 | + | 0.0402193i | ||||
\(237\) | −681969. | − | 282481.i | −0.788667 | − | 0.326677i | ||||
\(238\) | −77792.7 | − | 120268.i | −0.0890218 | − | 0.137628i | ||||
\(239\) | 1.28699e6i | 1.45740i | 0.684832 | + | 0.728701i | \(0.259876\pi\) | ||||
−0.684832 | + | 0.728701i | \(0.740124\pi\) | |||||||
\(240\) | 479967. | − | 425889.i | 0.537877 | − | 0.477275i | ||||
\(241\) | 130077.i | 0.144264i | 0.997395 | + | 0.0721319i | \(0.0229802\pi\) | ||||
−0.997395 | + | 0.0721319i | \(0.977020\pi\) | |||||||
\(242\) | 1.50439e6 | − | 973080.i | 1.65128 | − | 1.06810i | ||||
\(243\) | −851952. | − | 352890.i | −0.925549 | − | 0.383375i | ||||
\(244\) | 327252. | − | 308298.i | 0.351890 | − | 0.331510i | ||||
\(245\) | 181682. | + | 438620.i | 0.193374 | + | 0.466846i | ||||
\(246\) | −22998.3 | + | 4219.28i | −0.0242303 | + | 0.00444530i | ||||
\(247\) | 95524.3 | + | 95524.3i | 0.0996258 | + | 0.0996258i | ||||
\(248\) | −1.37418e6 | − | 1.00989e6i | −1.41877 | − | 1.04266i | ||||
\(249\) | −148807. | + | 148807.i | −0.152099 | + | 0.152099i | ||||
\(250\) | 539510. | − | 781945.i | 0.545946 | − | 0.791273i | ||||
\(251\) | −713992. | + | 295745.i | −0.715334 | + | 0.296301i | −0.710510 | − | 0.703687i | \(-0.751536\pi\) |
−0.00482410 | + | 0.999988i | \(0.501536\pi\) | |||||||
\(252\) | −179647. | − | 80767.2i | −0.178204 | − | 0.0801187i | ||||
\(253\) | 420372. | − | 1.01487e6i | 0.412888 | − | 0.996799i | ||||
\(254\) | −370699. | − | 79498.8i | −0.360527 | − | 0.0773172i | ||||
\(255\) | 348416. | 0.335543 | ||||||||
\(256\) | −124751. | + | 1.04113e6i | −0.118972 | + | 0.992898i | ||||
\(257\) | −747239. | −0.705711 | −0.352855 | − | 0.935678i | \(-0.614789\pi\) | ||||
−0.352855 | + | 0.935678i | \(0.614789\pi\) | |||||||
\(258\) | −2.28618e6 | − | 490285.i | −2.13826 | − | 0.458563i | ||||
\(259\) | −94088.3 | + | 227149.i | −0.0871538 | + | 0.210408i | ||||
\(260\) | −295108. | − | 132678.i | −0.270737 | − | 0.121721i | ||||
\(261\) | −948689. | + | 392960.i | −0.862030 | + | 0.357065i | ||||
\(262\) | 1.09680e6 | − | 1.58966e6i | 0.987128 | − | 1.43070i | ||||
\(263\) | −993838. | + | 993838.i | −0.885985 | + | 0.885985i | −0.994135 | − | 0.108150i | \(-0.965507\pi\) |
0.108150 | + | 0.994135i | \(0.465507\pi\) | |||||||
\(264\) | 1.96067e6 | + | 1.44090e6i | 1.73139 | + | 1.27240i | ||||
\(265\) | 645011. | + | 645011.i | 0.564226 | + | 0.564226i | ||||
\(266\) | 109088. | − | 20013.3i | 0.0945308 | − | 0.0173427i | ||||
\(267\) | 568365. | + | 1.37215e6i | 0.487921 | + | 1.17794i | ||||
\(268\) | −691658. | + | 651599.i | −0.588240 | + | 0.554171i | ||||
\(269\) | 1.33885e6 | + | 554571.i | 1.12811 | + | 0.467279i | 0.867139 | − | 0.498067i | \(-0.165957\pi\) |
0.260973 | + | 0.965346i | \(0.415957\pi\) | |||||||
\(270\) | −320972. | + | 207614.i | −0.267953 | + | 0.173319i | ||||
\(271\) | − | 1.02829e6i | − | 0.850535i | −0.905068 | − | 0.425267i | \(-0.860180\pi\) | ||
0.905068 | − | 0.425267i | \(-0.139820\pi\) | |||||||
\(272\) | −425869. | + | 377887.i | −0.349023 | + | 0.309699i | ||||
\(273\) | 277881.i | 0.225659i | ||||||||
\(274\) | 716502. | + | 1.10772e6i | 0.576555 | + | 0.891359i | ||||
\(275\) | 1.33251e6 | + | 551944.i | 1.06253 | + | 0.440112i | ||||
\(276\) | 988502. | + | 29479.5i | 0.781096 | + | 0.0232942i | ||||
\(277\) | −277388. | − | 669674.i | −0.217214 | − | 0.524402i | 0.777285 | − | 0.629149i | \(-0.216597\pi\) |
−0.994499 | + | 0.104747i | \(0.966597\pi\) | |||||||
\(278\) | 388321. | + | 2.11665e6i | 0.301355 | + | 1.64262i | ||||
\(279\) | −900386. | − | 900386.i | −0.692497 | − | 0.692497i | ||||
\(280\) | −227249. | + | 137560.i | −0.173223 | + | 0.104857i | ||||
\(281\) | 830812. | − | 830812.i | 0.627678 | − | 0.627678i | −0.319805 | − | 0.947483i | \(-0.603618\pi\) |
0.947483 | + | 0.319805i | \(0.103618\pi\) | |||||||
\(282\) | 1.52019e6 | + | 1.04887e6i | 1.13835 | + | 0.785414i | ||||
\(283\) | −331244. | + | 137206.i | −0.245856 | + | 0.101837i | −0.502209 | − | 0.864746i | \(-0.667479\pi\) |
0.256353 | + | 0.966583i | \(0.417479\pi\) | |||||||
\(284\) | −700336. | + | 265918.i | −0.515241 | + | 0.195637i | ||||
\(285\) | −103242. | + | 249248.i | −0.0752912 | + | 0.181769i | ||||
\(286\) | 257271. | − | 1.19964e6i | 0.185984 | − | 0.867236i | ||||
\(287\) | 9679.69 | 0.00693676 | ||||||||
\(288\) | −209502. | + | 754391.i | −0.148835 | + | 0.535939i | ||||
\(289\) | 1.11071e6 | 0.782270 | ||||||||
\(290\) | −290390. | + | 1.35408e6i | −0.202762 | + | 0.945471i | ||||
\(291\) | 227952. | − | 550324.i | 0.157801 | − | 0.380966i | ||||
\(292\) | 77591.6 | + | 204349.i | 0.0532546 | + | 0.140254i | ||||
\(293\) | 975370. | − | 404012.i | 0.663744 | − | 0.274932i | −0.0252693 | − | 0.999681i | \(-0.508044\pi\) |
0.689013 | + | 0.724749i | \(0.258044\pi\) | |||||||
\(294\) | −1.33401e6 | − | 920413.i | −0.900100 | − | 0.621033i | ||||
\(295\) | 822010. | − | 822010.i | 0.549949 | − | 0.549949i | ||||
\(296\) | 949044. | + | 233324.i | 0.629589 | + | 0.154785i | ||||
\(297\) | −1.02496e6 | − | 1.02496e6i | −0.674245 | − | 0.674245i | ||||
\(298\) | −45617.7 | − | 248652.i | −0.0297573 | − | 0.162200i | ||||
\(299\) | −190832. | − | 460708.i | −0.123445 | − | 0.298022i | ||||
\(300\) | −38706.4 | + | 1.29789e6i | −0.0248301 | + | 0.832599i | ||||
\(301\) | 894265. | + | 370417.i | 0.568918 | + | 0.235654i | ||||
\(302\) | 618462. | + | 956147.i | 0.390208 | + | 0.603264i | ||||
\(303\) | − | 2.60697e6i | − | 1.63128i | ||||||
\(304\) | −144138. | − | 416631.i | −0.0894528 | − | 0.258563i | ||||
\(305\) | − | 452747.i | − | 0.278680i | ||||||
\(306\) | −356955. | + | 230888.i | −0.217926 | + | 0.140961i | ||||
\(307\) | 513371. | + | 212645.i | 0.310875 | + | 0.128769i | 0.532666 | − | 0.846326i | \(-0.321190\pi\) |
−0.221791 | + | 0.975094i | \(0.571190\pi\) | |||||||
\(308\) | −690711. | − | 733174.i | −0.414877 | − | 0.440383i | ||||
\(309\) | −88145.0 | − | 212801.i | −0.0525172 | − | 0.126788i | ||||
\(310\) | −1.68910e6 | + | 309882.i | −0.998275 | + | 0.183144i | ||||
\(311\) | −655764. | − | 655764.i | −0.384456 | − | 0.384456i | 0.488249 | − | 0.872704i | \(-0.337636\pi\) |
−0.872704 | + | 0.488249i | \(0.837636\pi\) | |||||||
\(312\) | 1.09190e6 | − | 166844.i | 0.635031 | − | 0.0970339i | ||||
\(313\) | −1.27356e6 | + | 1.27356e6i | −0.734784 | + | 0.734784i | −0.971563 | − | 0.236779i | \(-0.923908\pi\) |
0.236779 | + | 0.971563i | \(0.423908\pi\) | |||||||
\(314\) | −125772. | + | 182289.i | −0.0719881 | + | 0.104337i | ||||
\(315\) | −183248. | + | 75903.6i | −0.104055 | + | 0.0431009i | ||||
\(316\) | 498082. | − | 1.10786e6i | 0.280597 | − | 0.624118i | ||||
\(317\) | −409647. | + | 988975.i | −0.228961 | + | 0.552761i | −0.996051 | − | 0.0887782i | \(-0.971704\pi\) |
0.767090 | + | 0.641539i | \(0.221704\pi\) | |||||||
\(318\) | −3.04477e6 | − | 652969.i | −1.68844 | − | 0.362097i | ||||
\(319\) | −5.25130e6 | −2.88928 | ||||||||
\(320\) | 676967. | + | 810350.i | 0.369567 | + | 0.442382i | ||||
\(321\) | −2.70529e6 | −1.46538 | ||||||||
\(322\) | −400298. | − | 85846.4i | −0.215151 | − | 0.0461405i | ||||
\(323\) | 91605.4 | − | 221155.i | 0.0488557 | − | 0.117948i | ||||
\(324\) | 966081. | − | 2.14881e6i | 0.511271 | − | 1.13719i | ||||
\(325\) | 604906. | − | 250560.i | 0.317672 | − | 0.131584i | ||||
\(326\) | −559231. | + | 810527.i | −0.291439 | + | 0.422400i | ||||
\(327\) | 2.16592e6 | − | 2.16592e6i | 1.12014 | − | 1.12014i | ||||
\(328\) | −5811.83 | − | 38035.1i | −0.00298283 | − | 0.0195209i | ||||
\(329\) | −540642. | − | 540642.i | −0.275372 | − | 0.275372i | ||||
\(330\) | 2.40999e6 | − | 442138.i | 1.21823 | − | 0.223498i | ||||
\(331\) | −159579. | − | 385259.i | −0.0800583 | − | 0.193278i | 0.878782 | − | 0.477223i | \(-0.158357\pi\) |
−0.958841 | + | 0.283945i | \(0.908357\pi\) | |||||||
\(332\) | −237462. | − | 252061.i | −0.118236 | − | 0.125505i | ||||
\(333\) | 674178. | + | 279254.i | 0.333168 | + | 0.138003i | ||||
\(334\) | 1.19076e6 | − | 770215.i | 0.584060 | − | 0.377786i | ||||
\(335\) | 956898.i | 0.465858i | ||||||||
\(336\) | 396342. | − | 815640.i | 0.191523 | − | 0.394140i | ||||
\(337\) | 2.43546e6i | 1.16817i | 0.811692 | + | 0.584086i | \(0.198547\pi\) | ||||
−0.811692 | + | 0.584086i | \(0.801453\pi\) | |||||||
\(338\) | 838231. | + | 1.29591e6i | 0.399091 | + | 0.616998i | ||||
\(339\) | 3.67510e6 | + | 1.52228e6i | 1.73688 | + | 0.719439i | ||||
\(340\) | −17090.7 | + | 573082.i | −0.00801794 | + | 0.268856i | ||||
\(341\) | −2.49196e6 | − | 6.01613e6i | −1.16053 | − | 2.80176i | ||||
\(342\) | −59399.5 | − | 323773.i | −0.0274611 | − | 0.149684i | ||||
\(343\) | 1.01564e6 | + | 1.01564e6i | 0.466127 | + | 0.466127i | ||||
\(344\) | 918572. | − | 3.73630e6i | 0.418521 | − | 1.70234i | ||||
\(345\) | 704180. | − | 704180.i | 0.318519 | − | 0.318519i | ||||
\(346\) | 2.80502e6 | + | 1.93535e6i | 1.25964 | + | 0.869100i | ||||
\(347\) | 1.14551e6 | − | 474488.i | 0.510713 | − | 0.211544i | −0.112419 | − | 0.993661i | \(-0.535860\pi\) |
0.623132 | + | 0.782117i | \(0.285860\pi\) | |||||||
\(348\) | −1.67818e6 | − | 4.41975e6i | −0.742832 | − | 1.95636i | ||||
\(349\) | −1.45038e6 | + | 3.50152e6i | −0.637407 | + | 1.53884i | 0.192714 | + | 0.981255i | \(0.438271\pi\) |
−0.830121 | + | 0.557583i | \(0.811729\pi\) | |||||||
\(350\) | 112716. | − | 525588.i | 0.0491828 | − | 0.229337i | ||||
\(351\) | −658022. | −0.285084 | ||||||||
\(352\) | −2.46620e6 | + | 3.15426e6i | −1.06089 | + | 1.35688i | ||||
\(353\) | −523118. | −0.223441 | −0.111720 | − | 0.993740i | \(-0.535636\pi\) | ||||
−0.111720 | + | 0.993740i | \(0.535636\pi\) | |||||||
\(354\) | −832151. | + | 3.88029e6i | −0.352935 | + | 1.64572i | ||||
\(355\) | −288682. | + | 696940.i | −0.121576 | + | 0.293511i | ||||
\(356\) | −2.28483e6 | + | 867550.i | −0.955494 | + | 0.362802i | ||||
\(357\) | 454911. | − | 188430.i | 0.188911 | − | 0.0782493i | ||||
\(358\) | 825763. | + | 569743.i | 0.340524 | + | 0.234948i | ||||
\(359\) | 2.00915e6 | − | 2.00915e6i | 0.822764 | − | 0.822764i | −0.163739 | − | 0.986504i | \(-0.552356\pi\) |
0.986504 | + | 0.163739i | \(0.0523556\pi\) | |||||||
\(360\) | 408278. | + | 674473.i | 0.166035 | + | 0.274289i | ||||
\(361\) | −1.61980e6 | − | 1.61980e6i | −0.654175 | − | 0.654175i | ||||
\(362\) | −683350. | − | 3.72478e6i | −0.274077 | − | 1.49393i | ||||
\(363\) | 2.35701e6 | + | 5.69032e6i | 0.938846 | + | 2.26657i | ||||
\(364\) | −457064. | − | 13630.8i | −0.180810 | − | 0.00539221i | ||||
\(365\) | 203358. | + | 84233.8i | 0.0798969 | + | 0.0330944i | ||||
\(366\) | 839427. | + | 1.29776e6i | 0.327552 | + | 0.506397i | ||||
\(367\) | 1.24365e6i | 0.481984i | 0.970527 | + | 0.240992i | \(0.0774728\pi\) | ||||
−0.970527 | + | 0.240992i | \(0.922527\pi\) | |||||||
\(368\) | −96977.0 | + | 1.62446e6i | −0.0373292 | + | 0.625302i | ||||
\(369\) | − | 28729.3i | − | 0.0109840i | ||||||
\(370\) | 826344. | − | 534502.i | 0.313803 | − | 0.202976i | ||||
\(371\) | 1.19100e6 | + | 493327.i | 0.449237 | + | 0.186080i | ||||
\(372\) | 4.26710e6 | − | 4.01996e6i | 1.59873 | − | 1.50614i | ||||
\(373\) | 869220. | + | 2.09848e6i | 0.323487 | + | 0.780968i | 0.999046 | + | 0.0436617i | \(0.0139024\pi\) |
−0.675559 | + | 0.737306i | \(0.736098\pi\) | |||||||
\(374\) | −2.13836e6 | + | 392304.i | −0.790499 | + | 0.145025i | ||||
\(375\) | 2.30927e6 | + | 2.30927e6i | 0.848001 | + | 0.848001i | ||||
\(376\) | −1.79977e6 | + | 2.44899e6i | −0.656519 | + | 0.893341i | ||||
\(377\) | −1.68565e6 | + | 1.68565e6i | −0.610823 | + | 0.610823i | ||||
\(378\) | −306797. | + | 444660.i | −0.110439 | + | 0.160066i | ||||
\(379\) | −1.23043e6 | + | 509660.i | −0.440006 | + | 0.182256i | −0.591678 | − | 0.806175i | \(-0.701534\pi\) |
0.151672 | + | 0.988431i | \(0.451534\pi\) | |||||||
\(380\) | −404904. | − | 182041.i | −0.143844 | − | 0.0646710i | ||||
\(381\) | 498757. | − | 1.20411e6i | 0.176026 | − | 0.424964i | ||||
\(382\) | −1.56753e6 | − | 336166.i | −0.549613 | − | 0.117868i | ||||
\(383\) | 824678. | 0.287268 | 0.143634 | − | 0.989631i | \(-0.454121\pi\) | ||||
0.143634 | + | 0.989631i | \(0.454121\pi\) | |||||||
\(384\) | −3.44292e6 | − | 1.06765e6i | −1.19151 | − | 0.369488i | ||||
\(385\) | −1.01433e6 | −0.348762 | ||||||||
\(386\) | −1.55069e6 | − | 332555.i | −0.529733 | − | 0.113605i | ||||
\(387\) | 1.09939e6 | − | 2.65417e6i | 0.373144 | − | 0.900849i | ||||
\(388\) | 894002. | + | 401934.i | 0.301480 | + | 0.135542i | ||||
\(389\) | −1.21705e6 | + | 504120.i | −0.407789 | + | 0.168912i | −0.577142 | − | 0.816644i | \(-0.695832\pi\) |
0.169353 | + | 0.985555i | \(0.445832\pi\) | |||||||
\(390\) | 631677. | − | 915527.i | 0.210297 | − | 0.304796i | ||||
\(391\) | −624811. | + | 624811.i | −0.206684 | + | 0.206684i | ||||
\(392\) | 1.57935e6 | − | 2.14906e6i | 0.519114 | − | 0.706371i | ||||
\(393\) | 4.69463e6 | + | 4.69463e6i | 1.53328 | + | 1.53328i | ||||
\(394\) | 3.62342e6 | − | 664754.i | 1.17592 | − | 0.215735i | ||||
\(395\) | −468089. | − | 1.13007e6i | −0.150951 | − | 0.364428i | ||||
\(396\) | −2.17606e6 | + | 2.05003e6i | −0.697320 | + | 0.656933i | ||||
\(397\) | 1.12420e6 | + | 465658.i | 0.357987 | + | 0.148283i | 0.554426 | − | 0.832233i | \(-0.312938\pi\) |
−0.196439 | + | 0.980516i | \(0.562938\pi\) | |||||||
\(398\) | −337206. | + | 218114.i | −0.106706 | + | 0.0690202i | ||||
\(399\) | 381267.i | 0.119894i | ||||||||
\(400\) | −2.13290e6 | − | 127330.i | −0.666532 | − | 0.0397906i | ||||
\(401\) | − | 751314.i | − | 0.233325i | −0.993172 | − | 0.116662i | \(-0.962780\pi\) | ||
0.993172 | − | 0.116662i | \(-0.0372195\pi\) | |||||||
\(402\) | −1.77416e6 | − | 2.74286e6i | −0.547555 | − | 0.846523i | ||||
\(403\) | −2.73108e6 | − | 1.13125e6i | −0.837667 | − | 0.346973i | ||||
\(404\) | 4.28799e6 | + | 127878.i | 1.30707 | + | 0.0389801i | ||||
\(405\) | −907906. | − | 2.19188e6i | −0.275045 | − | 0.664016i | ||||
\(406\) | 353162. | + | 1.92500e6i | 0.106331 | + | 0.579584i | ||||
\(407\) | 2.63877e6 | + | 2.63877e6i | 0.789617 | + | 0.789617i | ||||
\(408\) | −1.01355e6 | − | 1.67438e6i | −0.301435 | − | 0.497969i | ||||
\(409\) | 679986. | − | 679986.i | 0.200998 | − | 0.200998i | −0.599430 | − | 0.800428i | \(-0.704606\pi\) |
0.800428 | + | 0.599430i | \(0.204606\pi\) | |||||||
\(410\) | −31891.5 | − | 22003.8i | −0.00936946 | − | 0.00646455i | ||||
\(411\) | −4.18991e6 | + | 1.73552e6i | −1.22349 | + | 0.506786i | ||||
\(412\) | 354343. | − | 134544.i | 0.102844 | − | 0.0390501i | ||||
\(413\) | 628701. | − | 1.51782e6i | 0.181372 | − | 0.437870i | ||||
\(414\) | −254792. | + | 1.18808e6i | −0.0730608 | + | 0.340679i | ||||
\(415\) | −348722. | −0.0993937 | ||||||||
\(416\) | 220868. | + | 1.80416e6i | 0.0625747 | + | 0.511141i | ||||
\(417\) | −7.39776e6 | −2.08334 | ||||||||
\(418\) | 352989. | − | 1.64597e6i | 0.0988145 | − | 0.460768i | ||||
\(419\) | 1.56206e6 | − | 3.77115e6i | 0.434673 | − | 1.04939i | −0.543088 | − | 0.839676i | \(-0.682745\pi\) |
0.977762 | − | 0.209719i | \(-0.0672549\pi\) | |||||||
\(420\) | −324155. | − | 853713.i | −0.0896665 | − | 0.236150i | ||||
\(421\) | 3.99912e6 | − | 1.65649e6i | 1.09966 | − | 0.455495i | 0.242296 | − | 0.970202i | \(-0.422100\pi\) |
0.857366 | + | 0.514708i | \(0.172100\pi\) | |||||||
\(422\) | 5.07709e6 | + | 3.50298e6i | 1.38782 | + | 0.957540i | ||||
\(423\) | −1.60462e6 | + | 1.60462e6i | −0.436035 | + | 0.436035i | ||||
\(424\) | 1.22337e6 | − | 4.97606e6i | 0.330478 | − | 1.34422i | ||||
\(425\) | −820371. | − | 820371.i | −0.220312 | − | 0.220312i | ||||
\(426\) | −464697. | − | 2.53296e6i | −0.124064 | − | 0.676244i | ||||
\(427\) | −244854. | − | 591131.i | −0.0649888 | − | 0.156897i | ||||
\(428\) | 132701. | − | 4.44971e6i | 0.0350159 | − | 1.17415i | ||||
\(429\) | 3.89669e6 | + | 1.61406e6i | 1.02224 | + | 0.423425i | ||||
\(430\) | −2.10428e6 | − | 3.25324e6i | −0.548824 | − | 0.848486i | ||||
\(431\) | − | 3.95007e6i | − | 1.02426i | −0.858907 | − | 0.512132i | \(-0.828856\pi\) | ||
0.858907 | − | 0.512132i | \(-0.171144\pi\) | |||||||
\(432\) | 1.93144e6 | + | 938537.i | 0.497933 | + | 0.241959i | ||||
\(433\) | 5.64252e6i | 1.44628i | 0.690700 | + | 0.723142i | \(0.257303\pi\) | ||||
−0.690700 | + | 0.723142i | \(0.742697\pi\) | |||||||
\(434\) | −2.03778e6 | + | 1.31809e6i | −0.519319 | + | 0.335910i | ||||
\(435\) | −4.39832e6 | − | 1.82184e6i | −1.11446 | − | 0.461623i | ||||
\(436\) | 3.45631e6 | + | 3.66880e6i | 0.870756 | + | 0.924288i | ||||
\(437\) | −261831. | − | 632116.i | −0.0655870 | − | 0.158341i | ||||
\(438\) | −739085. | + | 135593.i | −0.184081 | + | 0.0337716i | ||||
\(439\) | −2.92219e6 | − | 2.92219e6i | −0.723680 | − | 0.723680i | 0.245673 | − | 0.969353i | \(-0.420991\pi\) |
−0.969353 | + | 0.245673i | \(0.920991\pi\) | |||||||
\(440\) | 609021. | + | 3.98569e6i | 0.149969 | + | 0.981458i | ||||
\(441\) | 1.40810e6 | − | 1.40810e6i | 0.344776 | − | 0.344776i | ||||
\(442\) | −560480. | + | 812337.i | −0.136460 | + | 0.197779i | ||||
\(443\) | 621648. | − | 257495.i | 0.150500 | − | 0.0623389i | −0.306162 | − | 0.951979i | \(-0.599045\pi\) |
0.456662 | + | 0.889640i | \(0.349045\pi\) | |||||||
\(444\) | −1.37764e6 | + | 3.06421e6i | −0.331648 | + | 0.737668i | ||||
\(445\) | −941817. | + | 2.27375e6i | −0.225459 | + | 0.544305i | ||||
\(446\) | −2.00756e6 | − | 430535.i | −0.477895 | − | 0.102487i | ||||
\(447\) | 869047. | 0.205719 | ||||||||
\(448\) | 1.32214e6 | + | 691919.i | 0.311230 | + | 0.162877i | ||||
\(449\) | 4.76592e6 | 1.11566 | 0.557829 | − | 0.829956i | \(-0.311635\pi\) | ||||
0.557829 | + | 0.829956i | \(0.311635\pi\) | |||||||
\(450\) | −1.55994e6 | − | 334539.i | −0.363142 | − | 0.0778782i | ||||
\(451\) | 56224.1 | − | 135737.i | 0.0130161 | − | 0.0314237i | ||||
\(452\) | −2.68414e6 | + | 5.97020e6i | −0.617958 | + | 1.37449i | ||||
\(453\) | −3.61661e6 | + | 1.49805e6i | −0.828048 | + | 0.342989i | ||||
\(454\) | 125891. | − | 182461.i | 0.0286652 | − | 0.0415462i | ||||
\(455\) | −325599. | + | 325599.i | −0.0737317 | + | 0.0737317i | ||||
\(456\) | 1.49814e6 | − | 228918.i | 0.337396 | − | 0.0515548i | ||||
\(457\) | 1.46368e6 | + | 1.46368e6i | 0.327835 | + | 0.327835i | 0.851763 | − | 0.523928i | \(-0.175534\pi\) |
−0.523928 | + | 0.851763i | \(0.675534\pi\) | |||||||
\(458\) | −7.23639e6 | + | 1.32759e6i | −1.61197 | + | 0.295734i | ||||
\(459\) | 446203. | + | 1.07723e6i | 0.0988556 | + | 0.238658i | ||||
\(460\) | 1.12371e6 | + | 1.19279e6i | 0.247604 | + | 0.262827i | ||||
\(461\) | −6.36664e6 | − | 2.63715e6i | −1.39527 | − | 0.577940i | −0.446751 | − | 0.894659i | \(-0.647419\pi\) |
−0.948519 | + | 0.316719i | \(0.897419\pi\) | |||||||
\(462\) | 2.90750e6 | − | 1.88065e6i | 0.633745 | − | 0.409924i | ||||
\(463\) | − | 2.67231e6i | − | 0.579342i | −0.957126 | − | 0.289671i | \(-0.906454\pi\) | ||
0.957126 | − | 0.289671i | \(-0.0935458\pi\) | |||||||
\(464\) | 7.35200e6 | − | 2.54350e6i | 1.58530 | − | 0.548451i | ||||
\(465\) | − | 5.90346e6i | − | 1.26612i | ||||||
\(466\) | −298349. | − | 461250.i | −0.0636444 | − | 0.0983947i | ||||
\(467\) | −3.19521e6 | − | 1.32350e6i | −0.677966 | − | 0.280823i | 0.0170105 | − | 0.999855i | \(-0.494585\pi\) |
−0.694976 | + | 0.719033i | \(0.744585\pi\) | |||||||
\(468\) | −40456.0 | + | 1.35656e6i | −0.00853825 | + | 0.286303i | ||||
\(469\) | 517509. | + | 1.24938e6i | 0.108639 | + | 0.262278i | ||||
\(470\) | 552257. | + | 3.01022e6i | 0.115318 | + | 0.628570i | ||||
\(471\) | −538344. | − | 538344.i | −0.111817 | − | 0.111817i | ||||
\(472\) | −6.34155e6 | − | 1.55908e6i | −1.31021 | − | 0.322116i | ||||
\(473\) | 1.03886e7 | − | 1.03886e7i | 2.13503 | − | 2.13503i | ||||
\(474\) | 3.43696e6 | + | 2.37136e6i | 0.702634 | + | 0.484789i | ||||
\(475\) | 829963. | − | 343782.i | 0.168781 | − | 0.0699116i | ||||
\(476\) | 287619. | + | 757490.i | 0.0581836 | + | 0.153235i | ||||
\(477\) | 1.46419e6 | − | 3.53487e6i | 0.294647 | − | 0.711341i | ||||
\(478\) | 1.52659e6 | − | 7.11845e6i | 0.305601 | − | 1.42500i | ||||
\(479\) | −5.02345e6 | −1.00038 | −0.500188 | − | 0.865917i | \(-0.666736\pi\) | ||||
−0.500188 | + | 0.865917i | \(0.666736\pi\) | |||||||
\(480\) | −3.15992e6 | + | 1.78631e6i | −0.625999 | + | 0.353878i | ||||
\(481\) | 1.69408e6 | 0.333866 | ||||||||
\(482\) | 154294. | − | 719467.i | 0.0302505 | − | 0.141057i | ||||
\(483\) | 538581. | − | 1.30025e6i | 0.105047 | − | 0.253606i | ||||
\(484\) | −9.47516e6 | + | 3.59772e6i | −1.83854 | + | 0.698095i | ||||
\(485\) | 911922. | − | 377730.i | 0.176037 | − | 0.0729168i | ||||
\(486\) | 4.29363e6 | + | 2.96243e6i | 0.824583 | + | 0.568929i | ||||
\(487\) | 259973. | − | 259973.i | 0.0496713 | − | 0.0496713i | −0.681835 | − | 0.731506i | \(-0.738818\pi\) |
0.731506 | + | 0.681835i | \(0.238818\pi\) | |||||||
\(488\) | −2.17576e6 | + | 1.31705e6i | −0.413581 | + | 0.250352i | ||||
\(489\) | −2.39368e6 | − | 2.39368e6i | −0.452683 | − | 0.452683i | ||||
\(490\) | −484621. | − | 2.64156e6i | −0.0911826 | − | 0.497015i | ||||
\(491\) | −687667. | − | 1.66018e6i | −0.128729 | − | 0.310778i | 0.846354 | − | 0.532621i | \(-0.178793\pi\) |
−0.975082 | + | 0.221843i | \(0.928793\pi\) | |||||||
\(492\) | 132211. | + | 3942.85i | 0.0246237 | + | 0.000734340i | ||||
\(493\) | 3.90258e6 | + | 1.61650e6i | 0.723160 | + | 0.299543i | ||||
\(494\) | −415045. | − | 641663.i | −0.0765205 | − | 0.118301i | ||||
\(495\) | 3.01054e6i | 0.552244i | ||||||||
\(496\) | 6.40279e6 | + | 7.21579e6i | 1.16860 | + | 1.31698i | ||||
\(497\) | 1.06609e6i | 0.193598i | ||||||||
\(498\) | 999580. | − | 646556.i | 0.180611 | − | 0.116824i | ||||
\(499\) | 1.57613e6 | + | 652856.i | 0.283362 | + | 0.117372i | 0.519838 | − | 0.854265i | \(-0.325992\pi\) |
−0.236476 | + | 0.971637i | \(0.575992\pi\) | |||||||
\(500\) | −3.91161e6 | + | 3.68506e6i | −0.699729 | + | 0.659203i | ||||
\(501\) | 1.86562e6 | + | 4.50402e6i | 0.332070 | + | 0.801688i | ||||
\(502\) | 4.29996e6 | − | 788872.i | 0.761562 | − | 0.139716i | ||||
\(503\) | 7.48243e6 | + | 7.48243e6i | 1.31863 | + | 1.31863i | 0.914861 | + | 0.403768i | \(0.132300\pi\) |
0.403768 | + | 0.914861i | \(0.367700\pi\) | |||||||
\(504\) | 897837. | + | 659824.i | 0.157442 | + | 0.115705i | ||||
\(505\) | 3.05464e6 | − | 3.05464e6i | 0.533005 | − | 0.533005i | ||||
\(506\) | −3.52893e6 | + | 5.11469e6i | −0.612726 | + | 0.888061i | ||||
\(507\) | −4.90176e6 | + | 2.03037e6i | −0.846899 | + | 0.350797i | ||||
\(508\) | 1.95607e6 | + | 879430.i | 0.336299 | + | 0.151197i | ||||
\(509\) | −3.24911e6 | + | 7.84405e6i | −0.555866 | + | 1.34198i | 0.357147 | + | 0.934048i | \(0.383750\pi\) |
−0.913013 | + | 0.407931i | \(0.866250\pi\) | |||||||
\(510\) | −1.92712e6 | − | 413284.i | −0.328083 | − | 0.0703595i | ||||
\(511\) | 311071. | 0.0526996 | ||||||||
\(512\) | 1.92497e6 | − | 5.61060e6i | 0.324526 | − | 0.945877i | ||||
\(513\) | −902841. | −0.151467 | ||||||||
\(514\) | 4.13305e6 | + | 886358.i | 0.690022 | + | 0.147979i | ||||
\(515\) | 146062. | − | 352625.i | 0.0242672 | − | 0.0585861i | ||||
\(516\) | 1.20635e7 | + | 5.42362e6i | 1.99457 | + | 0.896737i | ||||
\(517\) | −1.07216e7 | + | 4.44105e6i | −1.76415 | + | 0.730734i | ||||
\(518\) | 789850. | − | 1.14478e6i | 0.129336 | − | 0.187455i | ||||
\(519\) | −8.28390e6 | + | 8.28390e6i | −1.34995 | + | 1.34995i | ||||
\(520\) | 1.47489e6 | + | 1.08390e6i | 0.239195 | + | 0.175785i | ||||
\(521\) | 5.03661e6 | + | 5.03661e6i | 0.812913 | + | 0.812913i | 0.985070 | − | 0.172157i | \(-0.0550736\pi\) |
−0.172157 | + | 0.985070i | \(0.555074\pi\) | |||||||
\(522\) | 5.71340e6 | − | 1.04818e6i | 0.917738 | − | 0.168369i | ||||
\(523\) | −119555. | − | 288632.i | −0.0191124 | − | 0.0461414i | 0.914035 | − | 0.405635i | \(-0.132950\pi\) |
−0.933148 | + | 0.359493i | \(0.882950\pi\) | |||||||
\(524\) | −7.95211e6 | + | 7.49154e6i | −1.26518 | + | 1.19191i | ||||
\(525\) | 1.70722e6 | + | 707152.i | 0.270327 | + | 0.111973i | ||||
\(526\) | 6.67588e6 | − | 4.31814e6i | 1.05207 | − | 0.680507i | ||||
\(527\) | 5.23807e6i | 0.821571i | ||||||||
\(528\) | −9.13547e6 | − | 1.02955e7i | −1.42609 | − | 1.60717i | ||||
\(529\) | − | 3.91075e6i | − | 0.607605i | ||||||
\(530\) | −2.80252e6 | − | 4.33272e6i | −0.433370 | − | 0.669993i | ||||
\(531\) | −4.50488e6 | − | 1.86598e6i | −0.693341 | − | 0.287191i | ||||
\(532\) | −627116. | − | 18702.1i | −0.0960657 | − | 0.00286491i | ||||
\(533\) | −25523.5 | − | 61619.1i | −0.00389154 | − | 0.00939501i | ||||
\(534\) | −1.51606e6 | − | 8.26370e6i | −0.230072 | − | 1.25407i | ||||
\(535\) | −3.16984e6 | − | 3.16984e6i | −0.478799 | − | 0.478799i | ||||
\(536\) | 4.59854e6 | − | 2.78363e6i | 0.691366 | − | 0.418503i | ||||
\(537\) | −2.43867e6 | + | 2.43867e6i | −0.364937 | + | 0.364937i | ||||
\(538\) | −6.74750e6 | − | 4.65550e6i | −1.00505 | − | 0.693443i | ||||
\(539\) | 9.40855e6 | − | 3.89715e6i | 1.39492 | − | 0.577796i | ||||
\(540\) | 2.02159e6 | − | 767600.i | 0.298339 | − | 0.113279i | ||||
\(541\) | 1.13319e6 | − | 2.73576e6i | 0.166460 | − | 0.401869i | −0.818534 | − | 0.574457i | \(-0.805213\pi\) |
0.984994 | + | 0.172589i | \(0.0552131\pi\) | |||||||
\(542\) | −1.21973e6 | + | 5.68756e6i | −0.178347 | + | 0.831626i | ||||
\(543\) | 1.30183e7 | 1.89476 | ||||||||
\(544\) | 2.80376e6 | − | 1.58497e6i | 0.406204 | − | 0.229627i | ||||
\(545\) | 5.07572e6 | 0.731992 | ||||||||
\(546\) | 329616. | − | 1.53699e6i | 0.0473180 | − | 0.220642i | ||||
\(547\) | −2.02704e6 | + | 4.89370e6i | −0.289663 | + | 0.699308i | −0.999990 | − | 0.00456392i | \(-0.998547\pi\) |
0.710327 | + | 0.703872i | \(0.248547\pi\) | |||||||
\(548\) | −2.64909e6 | − | 6.97678e6i | −0.376830 | − | 0.992439i | ||||
\(549\) | −1.75447e6 | + | 726727.i | −0.248437 | + | 0.102906i | ||||
\(550\) | −6.71554e6 | − | 4.63345e6i | −0.946617 | − | 0.653127i | ||||
\(551\) | −2.31281e6 | + | 2.31281e6i | −0.324534 | + | 0.324534i | ||||
\(552\) | −5.43253e6 | − | 1.33559e6i | −0.758847 | − | 0.186563i | ||||
\(553\) | −1.22232e6 | − | 1.22232e6i | −0.169970 | − | 0.169970i | ||||
\(554\) | 739907. | + | 4.03306e6i | 0.102424 | + | 0.558291i | ||||
\(555\) | 1.29468e6 | + | 3.12563e6i | 0.178414 | + | 0.430730i | ||||
\(556\) | 362879. | − | 1.21680e7i | 0.0497823 | − | 1.66929i | ||||
\(557\) | −8.70452e6 | − | 3.60553e6i | −1.18879 | − | 0.492415i | −0.301432 | − | 0.953488i | \(-0.597465\pi\) |
−0.887362 | + | 0.461073i | \(0.847465\pi\) | |||||||
\(558\) | 3.91210e6 | + | 6.04813e6i | 0.531893 | + | 0.822311i | ||||
\(559\) | − | 6.66944e6i | − | 0.902734i | ||||||
\(560\) | 1.42010e6 | − | 491300.i | 0.191360 | − | 0.0662029i | ||||
\(561\) | − | 7.47365e6i | − | 1.00260i | ||||||
\(562\) | −5.58079e6 | + | 3.60981e6i | −0.745340 | + | 0.482107i | ||||
\(563\) | 3.66631e6 | + | 1.51864e6i | 0.487482 | + | 0.201922i | 0.612866 | − | 0.790187i | \(-0.290016\pi\) |
−0.125384 | + | 0.992108i | \(0.540016\pi\) | |||||||
\(564\) | −7.16417e6 | − | 7.60461e6i | −0.948349 | − | 1.00665i | ||||
\(565\) | 2.52251e6 | + | 6.08987e6i | 0.332439 | + | 0.802578i | ||||
\(566\) | 1.99489e6 | − | 365983.i | 0.261745 | − | 0.0480198i | ||||
\(567\) | −2.37082e6 | − | 2.37082e6i | −0.309700 | − | 0.309700i | ||||
\(568\) | 4.18905e6 | − | 640095.i | 0.544809 | − | 0.0832479i | ||||
\(569\) | −5.16128e6 | + | 5.16128e6i | −0.668308 | + | 0.668308i | −0.957324 | − | 0.289017i | \(-0.906672\pi\) |
0.289017 | + | 0.957324i | \(0.406672\pi\) | |||||||
\(570\) | 866694. | − | 1.25615e6i | 0.111732 | − | 0.161940i | ||||
\(571\) | −4.29587e6 | + | 1.77941e6i | −0.551393 | + | 0.228394i | −0.640944 | − | 0.767588i | \(-0.721457\pi\) |
0.0895509 | + | 0.995982i | \(0.471457\pi\) | |||||||
\(572\) | −2.84598e6 | + | 6.33017e6i | −0.363699 | + | 0.808957i | ||||
\(573\) | 2.10903e6 | − | 5.09165e6i | 0.268347 | − | 0.647847i | ||||
\(574\) | −53539.3 | − | 11481.8i | −0.00678255 | − | 0.00145456i | ||||
\(575\) | −3.31608e6 | −0.418269 | ||||||||
\(576\) | 2.05361e6 | − | 3.92410e6i | 0.257907 | − | 0.492815i | ||||
\(577\) | 5.99390e6 | 0.749497 | 0.374748 | − | 0.927127i | \(-0.377729\pi\) | ||||
0.374748 | + | 0.927127i | \(0.377729\pi\) | |||||||
\(578\) | −6.14345e6 | − | 1.31750e6i | −0.764878 | − | 0.164033i | ||||
\(579\) | 2.08638e6 | − | 5.03696e6i | 0.258641 | − | 0.624414i | ||||
\(580\) | 3.21235e6 | − | 7.14507e6i | 0.396509 | − | 0.881935i | ||||
\(581\) | −455310. | + | 188595.i | −0.0559586 | + | 0.0231788i | ||||
\(582\) | −1.91360e6 | + | 2.77350e6i | −0.234177 | + | 0.339407i | ||||
\(583\) | 1.38357e7 | − | 1.38357e7i | 1.68589 | − | 1.68589i | ||||
\(584\) | −186772. | − | 1.22231e6i | −0.0226610 | − | 0.148303i | ||||
\(585\) | 966376. | + | 966376.i | 0.116750 | + | 0.116750i | ||||
\(586\) | −5.87409e6 | + | 1.07766e6i | −0.706637 | + | 0.129640i | ||||
\(587\) | −5.38291e6 | − | 1.29955e7i | −0.644795 | − | 1.55667i | −0.820138 | − | 0.572166i | \(-0.806103\pi\) |
0.175343 | − | 0.984507i | \(-0.443897\pi\) | |||||||
\(588\) | 6.28676e6 | + | 6.67326e6i | 0.749866 | + | 0.795967i | ||||
\(589\) | −3.74718e6 | − | 1.55213e6i | −0.445058 | − | 0.184349i | ||||
\(590\) | −5.52166e6 | + | 3.57156e6i | −0.653040 | + | 0.422404i | ||||
\(591\) | 1.26640e7i | 1.49143i | ||||||||
\(592\) | −4.97249e6 | − | 2.41627e6i | −0.583136 | − | 0.283362i | ||||
\(593\) | 1.05021e7i | 1.22642i | 0.789920 | + | 0.613210i | \(0.210122\pi\) | ||||
−0.789920 | + | 0.613210i | \(0.789878\pi\) | |||||||
\(594\) | 4.45338e6 | + | 6.88496e6i | 0.517874 | + | 0.800636i | ||||
\(595\) | 753817. | + | 312241.i | 0.0872918 | + | 0.0361575i | ||||
\(596\) | −42629.0 | + | 1.42943e6i | −0.00491574 | + | 0.164834i | ||||
\(597\) | −528319. | − | 1.27547e6i | −0.0606681 | − | 0.146466i | ||||
\(598\) | 509026. | + | 2.77458e6i | 0.0582086 | + | 0.317281i | ||||
\(599\) | 1.38447e6 | + | 1.38447e6i | 0.157658 | + | 0.157658i | 0.781528 | − | 0.623870i | \(-0.214441\pi\) |
−0.623870 | + | 0.781528i | \(0.714441\pi\) | |||||||
\(600\) | 1.75362e6 | − | 7.13286e6i | 0.198865 | − | 0.808883i | ||||
\(601\) | −8.65532e6 | + | 8.65532e6i | −0.977456 | + | 0.977456i | −0.999751 | − | 0.0222958i | \(-0.992902\pi\) |
0.0222958 | + | 0.999751i | \(0.492902\pi\) | |||||||
\(602\) | −4.50688e6 | − | 3.10956e6i | −0.506856 | − | 0.349710i | ||||
\(603\) | 3.70814e6 | − | 1.53596e6i | 0.415301 | − | 0.172023i | ||||
\(604\) | −2.28661e6 | − | 6.02215e6i | −0.255035 | − | 0.671675i | ||||
\(605\) | −3.90571e6 | + | 9.42922e6i | −0.433822 | + | 1.04734i | ||||
\(606\) | −3.09232e6 | + | 1.44194e7i | −0.342061 | + | 1.59502i | ||||
\(607\) | 8.10261e6 | 0.892592 | 0.446296 | − | 0.894885i | \(-0.352743\pi\) | ||||
0.446296 | + | 0.894885i | \(0.352743\pi\) | |||||||
\(608\) | 303042. | + | 2.47540e6i | 0.0332463 | + | 0.271572i | ||||
\(609\) | −6.72797e6 | −0.735090 | ||||||||
\(610\) | −537038. | + | 2.50419e6i | −0.0584360 | + | 0.272485i | ||||
\(611\) | −2.01606e6 | + | 4.86719e6i | −0.218474 | + | 0.527443i | ||||
\(612\) | 2.24823e6 | − | 853653.i | 0.242639 | − | 0.0921304i | ||||
\(613\) | 1.37630e7 | − | 5.70082e6i | 1.47932 | − | 0.612754i | 0.510356 | − | 0.859963i | \(-0.329514\pi\) |
0.968962 | + | 0.247209i | \(0.0795135\pi\) | |||||||
\(614\) | −2.58727e6 | − | 1.78511e6i | −0.276962 | − | 0.191093i | ||||
\(615\) | 94183.0 | − | 94183.0i | 0.0100412 | − | 0.0100412i | ||||
\(616\) | 2.95071e6 | + | 4.87456e6i | 0.313310 | + | 0.517587i | ||||
\(617\) | −5.18621e6 | − | 5.18621e6i | −0.548450 | − | 0.548450i | 0.377542 | − | 0.925992i | \(-0.376769\pi\) |
−0.925992 | + | 0.377542i | \(0.876769\pi\) | |||||||
\(618\) | 235119. | + | 1.28158e6i | 0.0247637 | + | 0.134981i | ||||
\(619\) | −1.16144e6 | − | 2.80395e6i | −0.121834 | − | 0.294133i | 0.851182 | − | 0.524870i | \(-0.175886\pi\) |
−0.973016 | + | 0.230737i | \(0.925886\pi\) | |||||||
\(620\) | 9.71012e6 | + | 289580.i | 1.01448 | + | 0.0302544i | ||||
\(621\) | 3.07899e6 | + | 1.27536e6i | 0.320390 | + | 0.132710i | ||||
\(622\) | 2.84924e6 | + | 4.40494e6i | 0.295293 | + | 0.456525i | ||||
\(623\) | 3.47808e6i | 0.359021i | ||||||||
\(624\) | −6.23728e6 | − | 372353.i | −0.641260 | − | 0.0382819i | ||||
\(625\) | − | 1.10905e6i | − | 0.113567i | ||||||
\(626\) | 8.55487e6 | − | 5.53353e6i | 0.872524 | − | 0.564373i | ||||
\(627\) | 5.34646e6 | + | 2.21458e6i | 0.543122 | + | 0.224968i | ||||
\(628\) | 911885. | − | 859071.i | 0.0922659 | − | 0.0869220i | ||||
\(629\) | −1.14875e6 | − | 2.77333e6i | −0.115771 | − | 0.279496i | ||||
\(630\) | 1.10359e6 | − | 202466.i | 0.110779 | − | 0.0203236i | ||||
\(631\) | −3.89595e6 | − | 3.89595e6i | −0.389529 | − | 0.389529i | 0.484990 | − | 0.874520i | \(-0.338823\pi\) |
−0.874520 | + | 0.484990i | \(0.838823\pi\) | |||||||
\(632\) | −4.06906e6 | + | 5.53686e6i | −0.405229 | + | 0.551405i | ||||
\(633\) | −1.49938e7 | + | 1.49938e7i | −1.48732 | + | 1.48732i | ||||
\(634\) | 3.43889e6 | − | 4.98420e6i | 0.339778 | − | 0.492461i | ||||
\(635\) | 1.99528e6 | − | 826473.i | 0.196368 | − | 0.0813381i | ||||
\(636\) | 1.60664e7 | + | 7.22327e6i | 1.57498 | + | 0.708094i | ||||
\(637\) | 1.76915e6 | − | 4.27110e6i | 0.172749 | − | 0.417053i | ||||
\(638\) | 2.90454e7 | + | 6.22897e6i | 2.82505 | + | 0.605849i | ||||
\(639\) | 3.16414e6 | 0.306552 | ||||||||
\(640\) | −2.78315e6 | − | 5.28512e6i | −0.268588 | − | 0.510041i | ||||
\(641\) | 1.05054e7 | 1.00988 | 0.504938 | − | 0.863155i | \(-0.331515\pi\) | ||||
0.504938 | + | 0.863155i | \(0.331515\pi\) | |||||||
\(642\) | 1.49632e7 | + | 3.20895e6i | 1.43280 | + | 0.307274i | ||||
\(643\) | −6.92224e6 | + | 1.67118e7i | −0.660266 | + | 1.59402i | 0.137120 | + | 0.990554i | \(0.456215\pi\) |
−0.797386 | + | 0.603469i | \(0.793785\pi\) | |||||||
\(644\) | 2.11226e6 | + | 949648.i | 0.200693 | + | 0.0902294i | ||||
\(645\) | 1.23053e7 | − | 5.09702e6i | 1.16464 | − | 0.482411i | ||||
\(646\) | −769007. | + | 1.11457e6i | −0.0725019 | + | 0.105081i | ||||
\(647\) | 3.55989e6 | − | 3.55989e6i | 0.334330 | − | 0.334330i | −0.519898 | − | 0.854228i | \(-0.674030\pi\) |
0.854228 | + | 0.519898i | \(0.174030\pi\) | |||||||
\(648\) | −7.89235e6 | + | 1.07393e7i | −0.738361 | + | 1.00470i | ||||
\(649\) | −1.76324e7 | − | 1.76324e7i | −1.64323 | − | 1.64323i | ||||
\(650\) | −3.64300e6 | + | 668346.i | −0.338202 | + | 0.0620466i | ||||
\(651\) | −3.19271e6 | − | 7.70787e6i | −0.295261 | − | 0.712824i | ||||
\(652\) | 4.05459e6 | − | 3.81975e6i | 0.373532 | − | 0.351898i | ||||
\(653\) | −9.71337e6 | − | 4.02341e6i | −0.891430 | − | 0.369242i | −0.110511 | − | 0.993875i | \(-0.535249\pi\) |
−0.780919 | + | 0.624633i | \(0.785249\pi\) | |||||||
\(654\) | −1.45491e7 | + | 9.41076e6i | −1.33012 | + | 0.860360i | ||||
\(655\) | 1.10016e7i | 1.00197i | ||||||||
\(656\) | −12970.5 | + | 217269.i | −0.00117679 | + | 0.0197124i | ||||
\(657\) | − | 923257.i | − | 0.0834467i | ||||||
\(658\) | 2.34904e6 | + | 3.63164e6i | 0.211508 | + | 0.326992i | ||||
\(659\) | 3.75614e6 | + | 1.55584e6i | 0.336921 | + | 0.139557i | 0.544728 | − | 0.838613i | \(-0.316633\pi\) |
−0.207807 | + | 0.978170i | \(0.566633\pi\) | |||||||
\(660\) | −1.38543e7 | − | 413170.i | −1.23802 | − | 0.0369206i | ||||
\(661\) | −3.93118e6 | − | 9.49072e6i | −0.349961 | − | 0.844881i | −0.996624 | − | 0.0821046i | \(-0.973836\pi\) |
0.646663 | − | 0.762776i | \(-0.276164\pi\) | |||||||
\(662\) | 425663. | + | 2.32019e6i | 0.0377503 | + | 0.205768i | ||||
\(663\) | −2.39902e6 | − | 2.39902e6i | −0.211959 | − | 0.211959i | ||||
\(664\) | 1.01444e6 | + | 1.67584e6i | 0.0892903 | + | 0.147507i | ||||
\(665\) | −446739. | + | 446739.i | −0.0391741 | + | 0.0391741i | ||||
\(666\) | −3.39770e6 | − | 2.34427e6i | −0.296824 | − | 0.204796i | ||||
\(667\) | 1.11545e7 | − | 4.62036e6i | 0.970816 | − | 0.402125i | ||||
\(668\) | −7.49981e6 | + | 2.84768e6i | −0.650293 | + | 0.246917i | ||||
\(669\) | 2.70108e6 | − | 6.52098e6i | 0.233331 | − | 0.563310i | ||||
\(670\) | 1.13505e6 | − | 5.29269e6i | 0.0976850 | − | 0.455501i | ||||
\(671\) | −9.71158e6 | −0.832690 | ||||||||
\(672\) | −3.15970e6 | + | 4.04125e6i | −0.269912 | + | 0.345217i | ||||
\(673\) | 9.82837e6 | 0.836457 | 0.418229 | − | 0.908342i | \(-0.362651\pi\) | ||||
0.418229 | + | 0.908342i | \(0.362651\pi\) | |||||||
\(674\) | 2.88889e6 | − | 1.34708e7i | 0.244952 | − | 1.14220i | ||||
\(675\) | −1.67454e6 | + | 4.04269e6i | −0.141460 | + | 0.341516i | ||||
\(676\) | −3.09915e6 | − | 8.16210e6i | −0.260841 | − | 0.686965i | ||||
\(677\) | −1.06896e7 | + | 4.42780e6i | −0.896379 | + | 0.371292i | −0.782827 | − | 0.622240i | \(-0.786223\pi\) |
−0.113552 | + | 0.993532i | \(0.536223\pi\) | |||||||
\(678\) | −1.85216e7 | − | 1.27792e7i | −1.54741 | − | 1.06765i | ||||
\(679\) | 986370. | − | 986370.i | 0.0821042 | − | 0.0821042i | ||||
\(680\) | 774307. | − | 3.14950e6i | 0.0642157 | − | 0.261197i | ||||
\(681\) | 538851. | + | 538851.i | 0.0445247 | + | 0.0445247i | ||||
\(682\) | 6.64708e6 | + | 3.62317e7i | 0.547230 | + | 2.98282i | ||||
\(683\) | 1.69827e6 | + | 4.10000e6i | 0.139302 | + | 0.336304i | 0.978099 | − | 0.208140i | \(-0.0667409\pi\) |
−0.838798 | + | 0.544443i | \(0.816741\pi\) | |||||||
\(684\) | −55507.8 | + | 1.86128e6i | −0.00453642 | + | 0.152114i | ||||
\(685\) | −6.94296e6 | − | 2.87587e6i | −0.565351 | − | 0.234176i | ||||
\(686\) | −4.41286e6 | − | 6.82232e6i | −0.358022 | − | 0.553505i | ||||
\(687\) | − | 2.52915e7i | − | 2.04448i | ||||||
\(688\) | −9.51262e6 | + | 1.95762e7i | −0.766177 | + | 1.57673i | ||||
\(689\) | − | 8.88247e6i | − | 0.712829i | ||||||
\(690\) | −4.73016e6 | + | 3.05960e6i | −0.378228 | + | 0.244648i | ||||
\(691\) | 9.79362e6 | + | 4.05665e6i | 0.780275 | + | 0.323201i | 0.737027 | − | 0.675864i | \(-0.236229\pi\) |
0.0432487 | + | 0.999064i | \(0.486229\pi\) | |||||||
\(692\) | −1.32192e7 | − | 1.40319e7i | −1.04940 | − | 1.11391i | ||||
\(693\) | 1.62816e6 | + | 3.93072e6i | 0.128784 | + | 0.310913i | ||||
\(694\) | −6.89877e6 | + | 1.26565e6i | −0.543717 | + | 0.0997506i | ||||
\(695\) | −8.66812e6 | − | 8.66812e6i | −0.680711 | − | 0.680711i | ||||
\(696\) | 4.03957e6 | + | 2.64366e7i | 0.316091 | + | 2.06863i | ||||
\(697\) | −83567.5 | + | 83567.5i | −0.00651562 | + | 0.00651562i | ||||
\(698\) | 1.21756e7 | − | 1.76468e7i | 0.945913 | − | 1.37097i | ||||
\(699\) | 1.74467e6 | − | 722666.i | 0.135058 | − | 0.0559428i | ||||
\(700\) | −1.24688e6 | + | 2.77337e6i | −0.0961789 | + | 0.213926i | ||||
\(701\) | 5.29211e6 | − | 1.27763e7i | 0.406756 | − | 0.981995i | −0.579230 | − | 0.815164i | \(-0.696647\pi\) |
0.985986 | − | 0.166831i | \(-0.0533534\pi\) | |||||||
\(702\) | 3.63958e6 | + | 780531.i | 0.278746 | + | 0.0597788i | ||||
\(703\) | 2.32437e6 | 0.177385 | ||||||||
\(704\) | 1.73823e7 | − | 1.45212e7i | 1.32183 | − | 1.10426i | ||||
\(705\) | −1.05208e7 | −0.797219 | ||||||||
\(706\) | 2.89341e6 | + | 620510.i | 0.218473 | + | 0.0468530i | ||||
\(707\) | 2.33629e6 | − | 5.64031e6i | 0.175784 | − | 0.424379i | ||||
\(708\) | 9.20541e6 | − | 2.04751e7i | 0.690176 | − | 1.53513i | ||||
\(709\) | −3.33843e6 | + | 1.38282e6i | −0.249417 | + | 0.103312i | −0.503890 | − | 0.863768i | \(-0.668098\pi\) |
0.254473 | + | 0.967080i | \(0.418098\pi\) | |||||||
\(710\) | 2.42342e6 | − | 3.51241e6i | 0.180419 | − | 0.261493i | ||||
\(711\) | −3.62785e6 | + | 3.62785e6i | −0.269138 | + | 0.269138i | ||||
\(712\) | 1.36667e7 | − | 2.08829e6i | 1.01033 | − | 0.154380i | ||||
\(713\) | 1.05866e7 | + | 1.05866e7i | 0.779888 | + | 0.779888i | ||||
\(714\) | −2.73967e6 | + | 502621.i | −0.201119 | + | 0.0368973i | ||||
\(715\) | 2.67460e6 | + | 6.45706e6i | 0.195656 | + | 0.472356i | ||||
\(716\) | −3.89155e6 | − | 4.13080e6i | −0.283688 | − | 0.301128i | ||||
\(717\) | 2.31222e7 | + | 9.57751e6i | 1.67970 | + | 0.695753i | ||||
\(718\) | −1.34960e7 | + | 8.72957e6i | −0.976997 | + | 0.631949i | ||||
\(719\) | 5.35530e6i | 0.386333i | 0.981166 | + | 0.193166i | \(0.0618757\pi\) | ||||
−0.981166 | + | 0.193166i | \(0.938124\pi\) | |||||||
\(720\) | −1.45818e6 | − | 4.21486e6i | −0.104828 | − | 0.303007i | ||||
\(721\) | − | 539399.i | − | 0.0386431i | ||||||
\(722\) | 7.03790e6 | + | 1.08806e7i | 0.502459 | + | 0.776804i | ||||
\(723\) | 2.33697e6 | + | 968007.i | 0.166268 | + | 0.0688704i | ||||
\(724\) | −638579. | + | 2.14127e7i | −0.0452760 | + | 1.51819i | ||||
\(725\) | 6.06649e6 | + | 1.46458e7i | 0.428640 | + | 1.03483i | ||||
\(726\) | −6.28710e6 | − | 3.42695e7i | −0.442699 | − | 2.41305i | ||||
\(727\) | −1.58099e7 | − | 1.58099e7i | −1.10942 | − | 1.10942i | −0.993227 | − | 0.116189i | \(-0.962932\pi\) |
−0.116189 | − | 0.993227i | \(-0.537068\pi\) | |||||||
\(728\) | 2.51189e6 | + | 617552.i | 0.175660 | + | 0.0431862i | ||||
\(729\) | −29432.0 | + | 29432.0i | −0.00205117 | + | 0.00205117i | ||||
\(730\) | −1.02488e6 | − | 707124.i | −0.0711812 | − | 0.0491121i | ||||
\(731\) | −1.09184e7 | + | 4.52253e6i | −0.755725 | + | 0.313031i | ||||
\(732\) | −3.10357e6 | − | 8.17374e6i | −0.214084 | − | 0.563823i | ||||
\(733\) | 3.77384e6 | − | 9.11087e6i | 0.259432 | − | 0.626325i | −0.739469 | − | 0.673191i | \(-0.764923\pi\) |
0.998901 | + | 0.0468657i | \(0.0149233\pi\) | |||||||
\(734\) | 1.47519e6 | − | 6.87874e6i | 0.101067 | − | 0.471269i | ||||
\(735\) | 9.23234e6 | 0.630367 | ||||||||
\(736\) | 2.46329e6 | − | 8.87001e6i | 0.167618 | − | 0.603572i | ||||
\(737\) | 2.05258e7 | 1.39197 | ||||||||
\(738\) | −34078.0 | + | 158904.i | −0.00230321 | + | 0.0107398i | ||||
\(739\) | −6.13604e6 | + | 1.48137e7i | −0.413311 | + | 0.997822i | 0.570931 | + | 0.820998i | \(0.306582\pi\) |
−0.984242 | + | 0.176824i | \(0.943418\pi\) | |||||||
\(740\) | −5.20460e6 | + | 1.97619e6i | −0.349388 | + | 0.132663i | ||||
\(741\) | 2.42707e6 | − | 1.00533e6i | 0.162382 | − | 0.0672608i | ||||
\(742\) | −6.00234e6 | − | 4.14137e6i | −0.400231 | − | 0.276143i | ||||
\(743\) | −1.87556e7 | + | 1.87556e7i | −1.24641 | + | 1.24641i | −0.289111 | + | 0.957296i | \(0.593360\pi\) |
−0.957296 | + | 0.289111i | \(0.906640\pi\) | |||||||
\(744\) | −2.83701e7 | + | 1.71732e7i | −1.87901 | + | 1.13742i | ||||
\(745\) | 1.01828e6 | + | 1.01828e6i | 0.0672167 | + | 0.0672167i | ||||
\(746\) | −2.31856e6 | − | 1.26379e7i | −0.152536 | − | 0.831437i | ||||
\(747\) | 559750. | + | 1.35136e6i | 0.0367023 | + | 0.0886071i | ||||
\(748\) | 1.22928e7 | + | 366601.i | 0.803335 | + | 0.0239574i | ||||
\(749\) | −5.85303e6 | − | 2.42440e6i | −0.381220 | − | 0.157907i | ||||
\(750\) | −1.00336e7 | − | 1.55120e7i | −0.651333 | − | 1.00696i | ||||
\(751\) | 523217.i | 0.0338518i | 0.999857 | + | 0.0169259i | \(0.00538794\pi\) | ||||
−0.999857 | + | 0.0169259i | \(0.994612\pi\) | |||||||
\(752\) | 1.28596e7 | − | 1.14107e7i | 0.829247 | − | 0.735816i | ||||
\(753\) | 1.50285e7i | 0.965893i | ||||||||
\(754\) | 1.13230e7 | − | 7.32403e6i | 0.725325 | − | 0.469161i | ||||
\(755\) | −5.99295e6 | − | 2.48236e6i | −0.382625 | − | 0.158488i | ||||
\(756\) | 2.22437e6 | − | 2.09554e6i | 0.141547 | − | 0.133349i | ||||
\(757\) | 8.31617e6 | + | 2.00770e7i | 0.527453 | + | 1.27338i | 0.933186 | + | 0.359393i | \(0.117016\pi\) |
−0.405733 | + | 0.913991i | \(0.632984\pi\) | |||||||
\(758\) | 7.41016e6 | − | 1.35947e6i | 0.468441 | − | 0.0859403i | ||||
\(759\) | −1.51049e7 | − | 1.51049e7i | −0.951729 | − | 0.951729i | ||||
\(760\) | 2.02363e6 | + | 1.48717e6i | 0.127086 | + | 0.0933957i | ||||
\(761\) | −1.92478e6 | + | 1.92478e6i | −0.120481 | + | 0.120481i | −0.764777 | − | 0.644295i | \(-0.777151\pi\) |
0.644295 | + | 0.764777i | \(0.277151\pi\) | |||||||
\(762\) | −4.18696e6 | + | 6.06841e6i | −0.261223 | + | 0.378606i | ||||
\(763\) | 6.62713e6 | − | 2.74505e6i | 0.412111 | − | 0.170702i | ||||
\(764\) | 8.27139e6 | + | 3.71873e6i | 0.512679 | + | 0.230495i | ||||
\(765\) | 926730. | − | 2.23733e6i | 0.0572532 | − | 0.138221i | ||||
\(766\) | −4.56137e6 | − | 978214.i | −0.280882 | − | 0.0602368i | ||||
\(767\) | −1.13199e7 | −0.694792 | ||||||||
\(768\) | 1.77767e7 | + | 9.98917e6i | 1.08754 | + | 0.611120i | ||||
\(769\) | −2.08110e7 | −1.26904 | −0.634521 | − | 0.772905i | \(-0.718803\pi\) | ||||
−0.634521 | + | 0.772905i | \(0.718803\pi\) | |||||||
\(770\) | 5.61037e6 | + | 1.20318e6i | 0.341008 | + | 0.0731314i | ||||
\(771\) | −5.56081e6 | + | 1.34250e7i | −0.336901 | + | 0.813351i | ||||
\(772\) | 8.18255e6 | + | 3.67879e6i | 0.494135 | + | 0.222158i | ||||
\(773\) | 7.43658e6 | − | 3.08033e6i | 0.447636 | − | 0.185417i | −0.147466 | − | 0.989067i | \(-0.547112\pi\) |
0.595102 | + | 0.803650i | \(0.297112\pi\) | |||||||
\(774\) | −9.22917e6 | + | 1.33764e7i | −0.553746 | + | 0.802577i | ||||
\(775\) | −1.39001e7 | + | 1.39001e7i | −0.831312 | + | 0.831312i | ||||
\(776\) | −4.46804e6 | − | 3.28358e6i | −0.266356 | − | 0.195746i | ||||
\(777\) | 3.38080e6 | + | 3.38080e6i | 0.200894 | + | 0.200894i | ||||
\(778\) | 7.32962e6 | − | 1.34469e6i | 0.434142 | − | 0.0796480i | ||||
\(779\) | −35019.5 | − | 84544.6i | −0.00206760 | − | 0.00499163i | ||||
\(780\) | −4.57984e6 | + | 4.31459e6i | −0.269534 | + | 0.253923i | ||||
\(781\) | 1.49496e7 | + | 6.19233e6i | 0.877005 | + | 0.363267i | ||||
\(782\) | 4.19702e6 | − | 2.71475e6i | 0.245428 | − | 0.158750i | ||||
\(783\) | − | 1.59318e7i | − | 0.928670i | ||||||
\(784\) | −1.12847e7 | + | 1.00132e7i | −0.655691 | + | 0.581815i | ||||
\(785\) | − | 1.26158e6i | − | 0.0730701i | ||||||
\(786\) | −2.03978e7 | − | 3.15351e7i | −1.17768 | − | 1.82070i | ||||
\(787\) | −4.78265e6 | − | 1.98104e6i | −0.275253 | − | 0.114013i | 0.240787 | − | 0.970578i | \(-0.422594\pi\) |
−0.516040 | + | 0.856565i | \(0.672594\pi\) | |||||||
\(788\) | −2.08300e7 | − | 621201.i | −1.19501 | − | 0.0356383i | ||||
\(789\) | 1.04595e7 | + | 2.52514e7i | 0.598159 | + | 1.44408i | ||||
\(790\) | 1.24858e6 | + | 6.80574e6i | 0.0711787 | + | 0.387978i | ||||
\(791\) | 6.58704e6 | + | 6.58704e6i | 0.374325 | + | 0.374325i | ||||
\(792\) | 1.44677e7 | − | 8.75769e6i | 0.819569 | − | 0.496108i | ||||
\(793\) | −3.11739e6 | + | 3.11739e6i | −0.176039 | + | 0.176039i | ||||
\(794\) | −5.66569e6 | − | 3.90910e6i | −0.318935 | − | 0.220052i | ||||
\(795\) | 1.63884e7 | − | 6.78830e6i | 0.919642 | − | 0.380928i | ||||
\(796\) | 2.12384e6 | − | 806423.i | 0.118806 | − | 0.0451108i | ||||
\(797\) | −3.33614e6 | + | 8.05415e6i | −0.186036 | + | 0.449132i | −0.989190 | − | 0.146641i | \(-0.953154\pi\) |
0.803153 | + | 0.595772i | \(0.203154\pi\) | |||||||
\(798\) | 452250. | − | 2.10882e6i | 0.0251404 | − | 0.117228i | ||||
\(799\) | 9.33503e6 | 0.517307 | ||||||||
\(800\) | 1.16462e7 | + | 3.23427e6i | 0.643370 | + | 0.178670i | ||||
\(801\) | 1.03229e7 | 0.568488 | ||||||||
\(802\) | −891192. | + | 4.15559e6i | −0.0489255 | + | 0.228137i | ||||
\(803\) | 1.80684e6 | − | 4.36211e6i | 0.0988853 | − | 0.238730i | ||||
\(804\) | 6.55952e6 | + | 1.72755e7i | 0.357875 | + | 0.942519i | ||||
\(805\) | 2.15460e6 | − | 892463.i | 0.117186 | − | 0.0485401i | ||||
\(806\) | 1.37640e7 | + | 9.49659e6i | 0.746288 | + | 0.514908i | ||||
\(807\) | 1.99270e7 | − | 1.99270e7i | 1.07710 | − | 1.07710i | ||||
\(808\) | −2.35656e7 | − | 5.79362e6i | −1.26984 | − | 0.312192i | ||||
\(809\) | 1.89190e7 | + | 1.89190e7i | 1.01631 | + | 1.01631i | 0.999865 | + | 0.0164464i | \(0.00523528\pi\) |
0.0164464 | + | 0.999865i | \(0.494765\pi\) | |||||||
\(810\) | 2.42175e6 | + | 1.32004e7i | 0.129693 | + | 0.706928i | ||||
\(811\) | 1.01399e7 | + | 2.44798e7i | 0.541352 | + | 1.30694i | 0.923769 | + | 0.382949i | \(0.125092\pi\) |
−0.382418 | + | 0.923990i | \(0.624908\pi\) | |||||||
\(812\) | 330024. | − | 1.10663e7i | 0.0175653 | − | 0.588996i | ||||
\(813\) | −1.84744e7 | − | 7.65233e6i | −0.980264 | − | 0.406039i | ||||
\(814\) | −1.14653e7 | − | 1.77254e7i | −0.606489 | − | 0.937636i | ||||
\(815\) | − | 5.60945e6i | − | 0.295819i | ||||||
\(816\) | 3.61992e6 | + | 1.04634e7i | 0.190315 | + | 0.550106i | ||||
\(817\) | − | 9.15082e6i | − | 0.479628i | ||||||
\(818\) | −4.56765e6 | + | 2.95448e6i | −0.238676 | + | 0.154383i | ||||
\(819\) | 1.78439e6 | + | 739118.i | 0.0929564 | + | 0.0385038i | ||||
\(820\) | 150294. | + | 159534.i | 0.00780562 | + | 0.00828550i | ||||
\(821\) | −1.09168e7 | − | 2.63554e7i | −0.565245 | − | 1.36462i | −0.905523 | − | 0.424297i | \(-0.860521\pi\) |
0.340279 | − | 0.940325i | \(-0.389479\pi\) | |||||||
\(822\) | 2.52334e7 | − | 4.62934e6i | 1.30256 | − | 0.238968i | ||||
\(823\) | 1.71023e7 | + | 1.71023e7i | 0.880146 | + | 0.880146i | 0.993549 | − | 0.113403i | \(-0.0361751\pi\) |
−0.113403 | + | 0.993549i | \(0.536175\pi\) | |||||||
\(824\) | −2.11949e6 | + | 323863.i | −0.108746 | + | 0.0166166i | ||||
\(825\) | 1.98326e7 | − | 1.98326e7i | 1.01448 | − | 1.01448i | ||||
\(826\) | −5.27781e6 | + | 7.64945e6i | −0.269156 | + | 0.390104i | ||||
\(827\) | −2.30467e7 | + | 9.54625e6i | −1.17178 | + | 0.485365i | −0.881779 | − | 0.471662i | \(-0.843654\pi\) |
−0.289996 | + | 0.957028i | \(0.593654\pi\) | |||||||
\(828\) | 2.81855e6 | − | 6.26916e6i | 0.142873 | − | 0.317785i | ||||
\(829\) | 8.26757e6 | − | 1.99597e7i | 0.417822 | − | 1.00871i | −0.565155 | − | 0.824985i | \(-0.691184\pi\) |
0.982977 | − | 0.183728i | \(-0.0588165\pi\) | |||||||
\(830\) | 1.92881e6 | + | 413646.i | 0.0971840 | + | 0.0208417i | ||||
\(831\) | −1.40957e7 | −0.708084 | ||||||||
\(832\) | 918408. | − | 1.02409e7i | 0.0459968 | − | 0.512898i | ||||
\(833\) | −8.19175e6 | −0.409039 | ||||||||
\(834\) | 4.09177e7 | + | 8.77506e6i | 2.03702 | + | 0.436853i | ||||
\(835\) | −3.09146e6 | + | 7.46344e6i | −0.153443 | + | 0.370444i | ||||
\(836\) | −3.90483e6 | + | 8.68533e6i | −0.193235 | + | 0.429804i | ||||
\(837\) | 1.82523e7 | − | 7.56033e6i | 0.900540 | − | 0.373016i | ||||
\(838\) | −1.31132e7 | + | 1.90057e7i | −0.645056 | + | 0.934919i | ||||
\(839\) | −1.49883e7 | + | 1.49883e7i | −0.735103 | + | 0.735103i | −0.971626 | − | 0.236523i | \(-0.923992\pi\) |
0.236523 | + | 0.971626i | \(0.423992\pi\) | |||||||
\(840\) | 780279. | + | 5.10647e6i | 0.0381550 | + | 0.249702i | ||||
\(841\) | −2.63090e7 | − | 2.63090e7i | −1.28267 | − | 1.28267i | ||||
\(842\) | −2.40844e7 | + | 4.41853e6i | −1.17073 | + | 0.214782i | ||||
\(843\) | −8.74372e6 | − | 2.11092e7i | −0.423767 | − | 1.02306i | ||||
\(844\) | −2.39267e7 | − | 2.53976e7i | −1.15618 | − | 1.22726i | ||||
\(845\) | −8.12252e6 | − | 3.36446e6i | −0.391335 | − | 0.162096i | ||||
\(846\) | 1.07787e7 | − | 6.97195e6i | 0.517773 | − | 0.334910i | ||||
\(847\) | 1.44236e7i | 0.690819i | ||||||||
\(848\) | −1.26691e7 | + | 2.60719e7i | −0.604999 | + | 1.24504i | ||||
\(849\) | 6.97222e6i | 0.331972i | ||||||||
\(850\) | 3.56444e6 | + | 5.51065e6i | 0.169217 | + | 0.261611i | ||||
\(851\) | −7.92688e6 | − | 3.28342e6i | −0.375213 | − | 0.155418i | ||||
\(852\) | −434251. | + | 1.45612e7i | −0.0204947 | + | 0.687225i | ||||
\(853\) | −5.30170e6 | − | 1.27994e7i | −0.249484 | − | 0.602308i | 0.748676 | − | 0.662936i | \(-0.230690\pi\) |
−0.998160 | + | 0.0606278i | \(0.980690\pi\) | |||||||
\(854\) | 653127. | + | 3.56004e6i | 0.0306445 | + | 0.167036i | ||||
\(855\) | 1.32592e6 | + | 1.32592e6i | 0.0620300 | + | 0.0620300i | ||||
\(856\) | −6.01212e6 | + | 2.44543e7i | −0.280442 | + | 1.14070i | ||||
\(857\) | −7.10739e6 | + | 7.10739e6i | −0.330566 | + | 0.330566i | −0.852801 | − | 0.522236i | \(-0.825098\pi\) |
0.522236 | + | 0.852801i | \(0.325098\pi\) | |||||||
\(858\) | −1.96384e7 | − | 1.35497e7i | −0.910725 | − | 0.628363i | ||||
\(859\) | 3.29433e7 | − | 1.36456e7i | 1.52330 | − | 0.630970i | 0.545048 | − | 0.838405i | \(-0.316512\pi\) |
0.978249 | + | 0.207435i | \(0.0665115\pi\) | |||||||
\(860\) | 7.78007e6 | + | 2.04900e7i | 0.358705 | + | 0.944705i | ||||
\(861\) | 72034.4 | − | 173906.i | 0.00331156 | − | 0.00799481i | ||||
\(862\) | −4.68549e6 | + | 2.18482e7i | −0.214776 | + | 1.00149i | ||||
\(863\) | 3.46199e7 | 1.58234 | 0.791169 | − | 0.611598i | \(-0.209473\pi\) | ||||
0.791169 | + | 0.611598i | \(0.209473\pi\) | |||||||
\(864\) | −9.56968e6 | − | 7.48216e6i | −0.436127 | − | 0.340991i | ||||
\(865\) | −1.94128e7 | −0.882163 | ||||||||
\(866\) | 6.69303e6 | − | 3.12093e7i | 0.303269 | − | 1.41413i | ||||
\(867\) | 8.26570e6 | − | 1.99552e7i | 0.373449 | − | 0.901587i | ||||
\(868\) | 1.28347e7 | − | 4.87333e6i | 0.578210 | − | 0.219547i | ||||
\(869\) | −2.42403e7 | + | 1.00407e7i | −1.08890 | + | 0.451038i | ||||
\(870\) | 2.21665e7 | + | 1.52940e7i | 0.992884 | + | 0.685050i | ||||
\(871\) | 6.58873e6 | − | 6.58873e6i | 0.294277 | − | 0.294277i | ||||
\(872\) | −1.47653e7 | − | 2.43923e7i | −0.657585 | − | 1.08633i | ||||
\(873\) | −2.92754e6 | − | 2.92754e6i | −0.130007 | − | 0.130007i | ||||
\(874\) | 698410. | + | 3.80687e6i | 0.0309266 | + | 0.168574i | ||||
\(875\) | 2.92672e6 | + | 7.06573e6i | 0.129229 | + | 0.311987i | ||||
\(876\) | 4.24878e6 | + | 126709.i | 0.187070 | + | 0.00557889i | ||||
\(877\) | −6.84830e6 | − | 2.83666e6i | −0.300666 | − | 0.124540i | 0.227250 | − | 0.973836i | \(-0.427026\pi\) |
−0.527916 | + | 0.849297i | \(0.677026\pi\) | |||||||
\(878\) | 1.26967e7 | + | 1.96291e7i | 0.555844 | + | 0.859339i | ||||
\(879\) | − | 2.05302e7i | − | 0.896233i | ||||||
\(880\) | 1.35918e6 | − | 2.27676e7i | 0.0591658 | − | 0.991085i | ||||
\(881\) | − | 8.43795e6i | − | 0.366267i | −0.983088 | − | 0.183133i | \(-0.941376\pi\) | ||
0.983088 | − | 0.183133i | \(-0.0586240\pi\) | |||||||
\(882\) | −9.45860e6 | + | 6.11808e6i | −0.409407 | + | 0.264816i | ||||
\(883\) | −3.73655e7 | − | 1.54773e7i | −1.61276 | − | 0.668027i | −0.619613 | − | 0.784907i | \(-0.712710\pi\) |
−0.993146 | + | 0.116881i | \(0.962710\pi\) | |||||||
\(884\) | 4.06364e6 | − | 3.82828e6i | 0.174898 | − | 0.164768i | ||||
\(885\) | −8.65108e6 | − | 2.08856e7i | −0.371289 | − | 0.896372i | ||||
\(886\) | −3.74383e6 | + | 686844.i | −0.160225 | + | 0.0293950i | ||||
\(887\) | 1.32756e7 | + | 1.32756e7i | 0.566559 | + | 0.566559i | 0.931163 | − | 0.364604i | \(-0.118796\pi\) |
−0.364604 | + | 0.931163i | \(0.618796\pi\) | |||||||
\(888\) | 1.12545e7 | − | 1.53143e7i | 0.478955 | − | 0.651725i | ||||
\(889\) | 2.15817e6 | − | 2.15817e6i | 0.0915866 | − | 0.0915866i | ||||
\(890\) | 7.90635e6 | − | 1.14591e7i | 0.334581 | − | 0.484928i | ||||
\(891\) | −4.70165e7 | + | 1.94749e7i | −1.98407 | + | 0.821827i | ||||
\(892\) | 1.05933e7 | + | 4.76265e6i | 0.445780 | + | 0.200418i | ||||
\(893\) | −2.76613e6 | + | 6.67804e6i | −0.116077 | + | 0.280234i | ||||
\(894\) | −4.80678e6 | − | 1.03084e6i | −0.201146 | − | 0.0431369i | ||||
\(895\) | −5.71489e6 | −0.238479 | ||||||||
\(896\) | −6.49213e6 | − | 5.39536e6i | −0.270158 | − | 0.224518i | ||||
\(897\) | −9.69727e6 | −0.402410 | ||||||||
\(898\) | −2.63607e7 | − | 5.65323e6i | −1.09085 | − | 0.233941i | ||||
\(899\) | 2.73895e7 | − | 6.61240e7i | 1.13028 | − | 2.72873i | ||||
\(900\) | 8.23136e6 | + | 3.70073e6i | 0.338739 | + | 0.152294i | ||||
\(901\) | −1.45412e7 | + | 6.02318e6i | −0.596746 | + | 0.247180i | ||||
\(902\) | −471989. | + | 684082.i | −0.0193159 | + | 0.0279957i | ||||
\(903\) | 1.33099e7 | − | 1.33099e7i | 0.543194 | − | 0.543194i | ||||
\(904\) | 2.19279e7 | − | 2.98379e7i | 0.892435 | − | 1.21436i | ||||
\(905\) | 1.52538e7 | + | 1.52538e7i | 0.619093 | + | 0.619093i | ||||
\(906\) | 2.17807e7 | − | 3.99590e6i | 0.881560 | − | 0.161731i | ||||
\(907\) | −6.96066e6 | − | 1.68045e7i | −0.280952 | − | 0.678278i | 0.718906 | − | 0.695107i | \(-0.244643\pi\) |
−0.999858 | + | 0.0168289i | \(0.994643\pi\) | |||||||
\(908\) | −912745. | + | 859881.i | −0.0367396 | + | 0.0346118i | ||||
\(909\) | −1.67404e7 | − | 6.93410e6i | −0.671980 | − | 0.278343i | ||||
\(910\) | 2.18714e6 | − | 1.41470e6i | 0.0875533 | − | 0.0566319i | ||||
\(911\) | 4.82154e7i | 1.92482i | 0.271601 | + | 0.962410i | \(0.412447\pi\) | ||||
−0.271601 | + | 0.962410i | \(0.587553\pi\) | |||||||
\(912\) | −8.55788e6 | − | 510888.i | −0.340705 | − | 0.0203394i | ||||
\(913\) | 7.48020e6i | 0.296986i | ||||||||
\(914\) | −6.35957e6 | − | 9.83193e6i | −0.251804 | − | 0.389290i | ||||
\(915\) | −8.13411e6 | − | 3.36926e6i | −0.321186 | − | 0.133040i | ||||
\(916\) | 4.15999e7 | + | 1.24061e6i | 1.63815 | + | 0.0488536i | ||||
\(917\) | 5.94988e6 | + | 1.43643e7i | 0.233660 | + | 0.564106i | ||||
\(918\) | −1.19021e6 | − | 6.48754e6i | −0.0466139 | − | 0.254082i | ||||
\(919\) | 1.75181e7 | + | 1.75181e7i | 0.684224 | + | 0.684224i | 0.960949 | − | 0.276725i | \(-0.0892491\pi\) |
−0.276725 | + | 0.960949i | \(0.589249\pi\) | |||||||
\(920\) | −4.80046e6 | − | 7.93035e6i | −0.186988 | − | 0.308903i | ||||
\(921\) | 7.64082e6 | − | 7.64082e6i | 0.296819 | − | 0.296819i | ||||
\(922\) | 3.20864e7 | + | 2.21383e7i | 1.24306 | + | 0.857663i | ||||
\(923\) | 6.78651e6 | − | 2.81107e6i | 0.262206 | − | 0.108609i | ||||
\(924\) | −1.83124e7 | + | 6.95324e6i | −0.705612 | + | 0.267921i | ||||
\(925\) | 4.31110e6 | − | 1.04079e7i | 0.165666 | − | 0.399954i | ||||
\(926\) | −3.16984e6 | + | 1.47808e7i | −0.121481 | + | 0.566462i | ||||
\(927\) | −1.60093e6 | −0.0611891 | ||||||||
\(928\) | −4.36817e7 | + | 5.34758e6i | −1.66506 | + | 0.203839i | ||||
\(929\) | −3.02427e7 | −1.14969 | −0.574846 | − | 0.818262i | \(-0.694938\pi\) | ||||
−0.574846 | + | 0.818262i | \(0.694938\pi\) | |||||||
\(930\) | −7.00255e6 | + | 3.26526e7i | −0.265490 | + | 1.23797i | ||||
\(931\) | 2.42736e6 | − | 5.86017e6i | 0.0917826 | − | 0.221583i | ||||
\(932\) | 1.10307e6 | + | 2.90511e6i | 0.0415973 | + | 0.109553i | ||||
\(933\) | −1.66616e7 | + | 6.90146e6i | −0.626632 | + | 0.259559i | ||||
\(934\) | 1.61031e7 | + | 1.11105e7i | 0.604008 | + | 0.416741i | ||||
\(935\) | 8.75703e6 | − | 8.75703e6i | 0.327588 | − | 0.327588i | ||||
\(936\) | 1.83289e6 | − | 7.45529e6i | 0.0683828 | − | 0.278147i | ||||
\(937\) | 1.44061e7 | + | 1.44061e7i | 0.536042 | + | 0.536042i | 0.922364 | − | 0.386322i | \(-0.126255\pi\) |
−0.386322 | + | 0.922364i | \(0.626255\pi\) | |||||||
\(938\) | −1.38041e6 | − | 7.52428e6i | −0.0512271 | − | 0.279227i | ||||
\(939\) | 1.34034e7 | + | 3.23586e7i | 0.496078 | + | 1.19764i | ||||
\(940\) | 516074. | − | 1.73049e7i | 0.0190499 | − | 0.638777i | ||||
\(941\) | 4.07156e7 | + | 1.68650e7i | 1.49895 | + | 0.620885i | 0.973242 | − | 0.229781i | \(-0.0738009\pi\) |
0.525707 | + | 0.850666i | \(0.323801\pi\) | |||||||
\(942\) | 2.33906e6 | + | 3.61620e6i | 0.0858843 | + | 0.132778i | ||||
\(943\) | 337794.i | 0.0123701i | ||||||||
\(944\) | 3.32264e7 | + | 1.61456e7i | 1.21354 | + | 0.589690i | ||||
\(945\) | − | 3.07737e6i | − | 0.112099i | ||||||
\(946\) | −6.97830e7 | + | 4.51376e7i | −2.53526 | + | 1.63987i | ||||
\(947\) | 590594. | + | 244632.i | 0.0214000 | + | 0.00886418i | 0.393358 | − | 0.919385i | \(-0.371313\pi\) |
−0.371958 | + | 0.928250i | \(0.621313\pi\) | |||||||
\(948\) | −1.61973e7 | − | 1.71931e7i | −0.585358 | − | 0.621345i | ||||
\(949\) | −820234. | − | 1.98022e6i | −0.0295646 | − | 0.0713753i | ||||
\(950\) | −4.99839e6 | + | 917006.i | −0.179689 | + | 0.0329658i | ||||
\(951\) | 1.47195e7 | + | 1.47195e7i | 0.527767 | + | 0.527767i | ||||
\(952\) | −692332. | − | 4.53091e6i | −0.0247584 | − | 0.162029i | ||||
\(953\) | 2.72835e7 | − | 2.72835e7i | 0.973123 | − | 0.973123i | −0.0265248 | − | 0.999648i | \(-0.508444\pi\) |
0.999648 | + | 0.0265248i | \(0.00844409\pi\) | |||||||
\(954\) | −1.22916e7 | + | 1.78149e7i | −0.437256 | + | 0.633742i | ||||
\(955\) | 8.43719e6 | − | 3.49480e6i | 0.299357 | − | 0.123998i | ||||
\(956\) | −1.68875e7 | + | 3.75620e7i | −0.597613 | + | 1.32924i | ||||
\(957\) | −3.90791e7 | + | 9.43454e7i | −1.37932 | + | 3.32997i | ||||
\(958\) | 2.77852e7 | + | 5.95870e6i | 0.978136 | + | 0.209767i | ||||
\(959\) | −1.06204e7 | −0.372902 | ||||||||
\(960\) | 1.95967e7 | − | 6.13200e6i | 0.686286 | − | 0.214746i | ||||
\(961\) | 6.01231e7 | 2.10006 | ||||||||
\(962\) | −9.37012e6 | − | 2.00948e6i | −0.326443 | − | 0.0700078i | ||||
\(963\) | −7.19562e6 | + | 1.73718e7i | −0.250036 | + | 0.603640i | ||||
\(964\) | −1.70683e6 | + | 3.79642e6i | −0.0591559 | + | 0.131577i | ||||
\(965\) | 8.34657e6 | − | 3.45726e6i | 0.288529 | − | 0.119513i | ||||
\(966\) | −4.52127e6 | + | 6.55295e6i | −0.155890 | + | 0.225940i | ||||
\(967\) | 1.48403e7 | − | 1.48403e7i | 0.510359 | − | 0.510359i | −0.404277 | − | 0.914636i | \(-0.632477\pi\) |
0.914636 | + | 0.404277i | \(0.132477\pi\) | |||||||
\(968\) | 5.66755e7 | − | 8.66013e6i | 1.94405 | − | 0.297054i | ||||
\(969\) | −3.29159e6 | − | 3.29159e6i | −0.112615 | − | 0.112615i | ||||
\(970\) | −5.49198e6 | + | 1.00756e6i | −0.187413 | + | 0.0343829i | ||||
\(971\) | −1.50127e7 | − | 3.62438e7i | −0.510986 | − | 1.23363i | −0.943310 | − | 0.331912i | \(-0.892306\pi\) |
0.432324 | − | 0.901718i | \(-0.357694\pi\) | |||||||
\(972\) | −2.02345e7 | − | 2.14785e7i | −0.686953 | − | 0.729186i | ||||
\(973\) | −1.60054e7 | − | 6.62967e6i | −0.541983 | − | 0.224497i | ||||
\(974\) | −1.74631e6 | + | 1.12956e6i | −0.0589825 | + | 0.0381515i | ||||
\(975\) | − | 1.27324e7i | − | 0.428943i | ||||||
\(976\) | 1.35966e7 | − | 4.70387e6i | 0.456882 | − | 0.158063i | ||||
\(977\) | − | 1.13709e7i | − | 0.381118i | −0.981676 | − | 0.190559i | \(-0.938970\pi\) | ||
0.981676 | − | 0.190559i | \(-0.0610300\pi\) | |||||||
\(978\) | 1.04003e7 | + | 1.60790e7i | 0.347696 | + | 0.537541i | ||||
\(979\) | 4.87727e7 | + | 2.02023e7i | 1.62637 | + | 0.673665i | ||||
\(980\) | −452870. | + | 1.51855e7i | −0.0150629 | + | 0.505085i | ||||
\(981\) | −8.14729e6 | − | 1.96693e7i | −0.270297 | − | 0.652554i | ||||
\(982\) | 1.83429e6 | + | 9.99828e6i | 0.0607001 | + | 0.330862i | ||||
\(983\) | 6.04255e6 | + | 6.04255e6i | 0.199451 | + | 0.199451i | 0.799765 | − | 0.600314i | \(-0.204958\pi\) |
−0.600314 | + | 0.799765i | \(0.704958\pi\) | |||||||
\(984\) | −726593. | − | 178634.i | −0.0239223 | − | 0.00588133i | ||||
\(985\) | −1.48387e7 | + | 1.48387e7i | −0.487309 | + | 0.487309i | ||||
\(986\) | −1.96681e7 | − | 1.35702e7i | −0.644272 | − | 0.444521i | ||||
\(987\) | −1.37366e7 | + | 5.68988e6i | −0.448834 | + | 0.185913i | ||||
\(988\) | 1.53453e6 | + | 4.04141e6i | 0.0500129 | + | 0.131717i | ||||
\(989\) | −1.29265e7 | + | 3.12074e7i | −0.420233 | + | 1.01453i | ||||
\(990\) | 3.57103e6 | − | 1.66516e7i | 0.115799 | − | 0.539967i | ||||
\(991\) | 3.24589e7 | 1.04990 | 0.524952 | − | 0.851132i | \(-0.324083\pi\) | ||||
0.524952 | + | 0.851132i | \(0.324083\pi\) | |||||||
\(992\) | −2.68552e7 | − | 4.75061e7i | −0.866462 | − | 1.53275i | ||||
\(993\) | −8.10916e6 | −0.260977 | ||||||||
\(994\) | 1.26457e6 | − | 5.89663e6i | 0.0405954 | − | 0.189294i | ||||
\(995\) | 875458. | − | 2.11354e6i | 0.0280335 | − | 0.0676789i | ||||
\(996\) | −6.29570e6 | + | 2.39048e6i | −0.201092 | + | 0.0763549i | ||||
\(997\) | −4.28539e7 | + | 1.77506e7i | −1.36538 | + | 0.565557i | −0.940530 | − | 0.339709i | \(-0.889671\pi\) |
−0.424845 | + | 0.905266i | \(0.639671\pi\) | |||||||
\(998\) | −7.94333e6 | − | 5.48058e6i | −0.252451 | − | 0.174181i | ||||
\(999\) | −8.00574e6 | + | 8.00574e6i | −0.253798 | + | 0.253798i |
(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 | 32.6.g.a.13.1 | yes | 76 | |
4.3 | odd | 2 | 128.6.g.a.17.4 | 76 | |||
32.5 | even | 8 | inner | 32.6.g.a.5.1 | ✓ | 76 | |
32.27 | odd | 8 | 128.6.g.a.113.4 | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.6.g.a.5.1 | ✓ | 76 | 32.5 | even | 8 | inner | |
32.6.g.a.13.1 | yes | 76 | 1.1 | even | 1 | trivial | |
128.6.g.a.17.4 | 76 | 4.3 | odd | 2 | |||
128.6.g.a.113.4 | 76 | 32.27 | odd | 8 |