Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,6,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), 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: | \(12.1891703058\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Character | \(\chi\) | \(=\) | 76.3 |
Dual form | 76.6.k.a.51.1 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.65633 | − | 0.0770723i | −0.999907 | − | 0.0136246i | ||||
\(3\) | −6.62020 | + | 2.40955i | −0.424686 | + | 0.154573i | −0.545516 | − | 0.838100i | \(-0.683666\pi\) |
0.120831 | + | 0.992673i | \(0.461444\pi\) | |||||||
\(4\) | 31.9881 | + | 0.871892i | 0.999629 | + | 0.0272466i | ||||
\(5\) | 8.57723 | − | 48.6439i | 0.153434 | − | 0.870169i | −0.806769 | − | 0.590867i | \(-0.798786\pi\) |
0.960203 | − | 0.279302i | \(-0.0901030\pi\) | |||||||
\(6\) | 37.6317 | − | 13.1190i | 0.426752 | − | 0.148772i | ||||
\(7\) | 27.9453 | − | 16.1342i | 0.215558 | − | 0.124452i | −0.388334 | − | 0.921519i | \(-0.626949\pi\) |
0.603892 | + | 0.797066i | \(0.293616\pi\) | |||||||
\(8\) | −180.868 | − | 7.39710i | −0.999165 | − | 0.0408636i | ||||
\(9\) | −148.128 | + | 124.294i | −0.609579 | + | 0.511498i | ||||
\(10\) | −52.2648 | + | 274.485i | −0.165276 | + | 0.867997i | ||||
\(11\) | 638.582 | + | 368.686i | 1.59124 | + | 0.918701i | 0.993095 | + | 0.117312i | \(0.0374276\pi\) |
0.598142 | + | 0.801390i | \(0.295906\pi\) | |||||||
\(12\) | −213.869 | + | 71.3050i | −0.428740 | + | 0.142944i | ||||
\(13\) | 88.0086 | − | 241.802i | 0.144433 | − | 0.396827i | −0.846290 | − | 0.532722i | \(-0.821169\pi\) |
0.990723 | + | 0.135896i | \(0.0433912\pi\) | |||||||
\(14\) | −159.311 | + | 89.1067i | −0.217233 | + | 0.121504i | ||||
\(15\) | 60.4272 | + | 342.700i | 0.0693433 | + | 0.393265i | ||||
\(16\) | 1022.48 | + | 55.7804i | 0.998515 | + | 0.0544730i | ||||
\(17\) | −1495.60 | − | 1254.96i | −1.25515 | − | 1.05319i | −0.996182 | − | 0.0873052i | \(-0.972174\pi\) |
−0.258964 | − | 0.965887i | \(-0.583381\pi\) | |||||||
\(18\) | 847.439 | − | 691.631i | 0.616492 | − | 0.503145i | ||||
\(19\) | −809.616 | − | 1349.30i | −0.514512 | − | 0.857483i | ||||
\(20\) | 316.782 | − | 1548.55i | 0.177086 | − | 0.865665i | ||||
\(21\) | −146.127 | + | 174.148i | −0.0723074 | + | 0.0861726i | ||||
\(22\) | −3583.62 | − | 2134.62i | −1.57857 | − | 0.940296i | ||||
\(23\) | −1705.75 | + | 300.770i | −0.672352 | + | 0.118554i | −0.499393 | − | 0.866375i | \(-0.666444\pi\) |
−0.172959 | + | 0.984929i | \(0.555333\pi\) | |||||||
\(24\) | 1215.21 | − | 386.841i | 0.430648 | − | 0.137090i | ||||
\(25\) | 643.879 | + | 234.353i | 0.206041 | + | 0.0749928i | ||||
\(26\) | −516.442 | + | 1360.93i | −0.149826 | + | 0.394822i | ||||
\(27\) | 1537.12 | − | 2662.37i | 0.405787 | − | 0.702843i | ||||
\(28\) | 907.985 | − | 491.738i | 0.218869 | − | 0.118533i | ||||
\(29\) | −3897.01 | − | 4644.27i | −0.860471 | − | 1.02547i | −0.999382 | − | 0.0351641i | \(-0.988805\pi\) |
0.138911 | − | 0.990305i | \(-0.455640\pi\) | |||||||
\(30\) | −315.383 | − | 1943.08i | −0.0639787 | − | 0.394173i | ||||
\(31\) | −1934.61 | − | 3350.84i | −0.361567 | − | 0.626253i | 0.626652 | − | 0.779299i | \(-0.284425\pi\) |
−0.988219 | + | 0.153047i | \(0.951091\pi\) | |||||||
\(32\) | −5779.18 | − | 394.317i | −0.997680 | − | 0.0680723i | ||||
\(33\) | −5115.91 | − | 902.072i | −0.817782 | − | 0.144197i | ||||
\(34\) | 8362.90 | + | 7213.74i | 1.24068 | + | 1.07020i | ||||
\(35\) | −545.139 | − | 1497.76i | −0.0752206 | − | 0.206667i | ||||
\(36\) | −4846.70 | + | 3846.78i | −0.623289 | + | 0.494699i | ||||
\(37\) | − | 14166.8i | − | 1.70125i | −0.525775 | − | 0.850624i | \(-0.676224\pi\) | ||
0.525775 | − | 0.850624i | \(-0.323776\pi\) | |||||||
\(38\) | 4475.46 | + | 7694.50i | 0.502781 | + | 0.864414i | ||||
\(39\) | 1812.84i | 0.190852i | ||||||||
\(40\) | −1911.17 | + | 8734.69i | −0.188864 | + | 0.863172i | ||||
\(41\) | 590.364 | + | 1622.01i | 0.0548480 | + | 0.150694i | 0.964091 | − | 0.265572i | \(-0.0855608\pi\) |
−0.909243 | + | 0.416266i | \(0.863339\pi\) | |||||||
\(42\) | 839.965 | − | 973.774i | 0.0734747 | − | 0.0851794i | ||||
\(43\) | 17143.4 | + | 3022.85i | 1.41392 | + | 0.249313i | 0.827853 | − | 0.560946i | \(-0.189562\pi\) |
0.586072 | + | 0.810259i | \(0.300673\pi\) | |||||||
\(44\) | 20105.6 | + | 12350.3i | 1.56562 | + | 0.961716i | ||||
\(45\) | 4775.62 | + | 8271.61i | 0.351559 | + | 0.608918i | ||||
\(46\) | 9671.48 | − | 1569.79i | 0.673905 | − | 0.109382i | ||||
\(47\) | −15203.7 | − | 18119.1i | −1.00394 | − | 1.19644i | −0.980460 | − | 0.196720i | \(-0.936971\pi\) |
−0.0234758 | − | 0.999724i | \(-0.507473\pi\) | |||||||
\(48\) | −6903.42 | + | 2094.44i | −0.432475 | + | 0.131210i | ||||
\(49\) | −7882.87 | + | 13653.5i | −0.469023 | + | 0.812372i | ||||
\(50\) | −3623.93 | − | 1375.20i | −0.205000 | − | 0.0777931i | ||||
\(51\) | 12925.1 | + | 4704.35i | 0.695838 | + | 0.253264i | ||||
\(52\) | 3026.05 | − | 7658.04i | 0.155192 | − | 0.392744i | ||||
\(53\) | −37495.2 | + | 6611.41i | −1.83352 | + | 0.323299i | −0.980188 | − | 0.198069i | \(-0.936533\pi\) |
−0.853332 | + | 0.521368i | \(0.825422\pi\) | |||||||
\(54\) | −8899.64 | + | 14940.7i | −0.415325 | + | 0.697249i | ||||
\(55\) | 23411.6 | − | 27900.8i | 1.04358 | − | 1.24368i | ||||
\(56\) | −5173.76 | + | 2711.45i | −0.220463 | + | 0.115540i | ||||
\(57\) | 8611.04 | + | 6981.84i | 0.351050 | + | 0.284631i | ||||
\(58\) | 21684.8 | + | 26569.9i | 0.846419 | + | 1.03710i | ||||
\(59\) | −2080.00 | − | 1745.33i | −0.0777917 | − | 0.0652750i | 0.603063 | − | 0.797694i | \(-0.293947\pi\) |
−0.680854 | + | 0.732419i | \(0.738391\pi\) | |||||||
\(60\) | 1634.15 | + | 11015.0i | 0.0586024 | + | 0.395008i | ||||
\(61\) | 2402.17 | + | 13623.4i | 0.0826570 | + | 0.468771i | 0.997838 | + | 0.0657273i | \(0.0209367\pi\) |
−0.915181 | + | 0.403044i | \(0.867952\pi\) | |||||||
\(62\) | 10684.5 | + | 19102.6i | 0.353001 | + | 0.631121i | ||||
\(63\) | −2134.09 | + | 5863.36i | −0.0677425 | + | 0.186121i | ||||
\(64\) | 32658.6 | + | 2675.80i | 0.996660 | + | 0.0816590i | ||||
\(65\) | −11007.3 | − | 6355.07i | −0.323145 | − | 0.186568i | ||||
\(66\) | 28867.7 | + | 5496.71i | 0.815742 | + | 0.155326i | ||||
\(67\) | −27194.7 | + | 22819.1i | −0.740113 | + | 0.621028i | −0.932868 | − | 0.360219i | \(-0.882702\pi\) |
0.192755 | + | 0.981247i | \(0.438258\pi\) | |||||||
\(68\) | −46747.3 | − | 41447.8i | −1.22598 | − | 1.08700i | ||||
\(69\) | 10567.7 | − | 6101.27i | 0.267213 | − | 0.154276i | ||||
\(70\) | 2968.05 | + | 8513.82i | 0.0723979 | + | 0.207673i | ||||
\(71\) | 1389.38 | − | 7879.55i | 0.0327095 | − | 0.185505i | −0.964075 | − | 0.265629i | \(-0.914420\pi\) |
0.996785 | + | 0.0801238i | \(0.0255316\pi\) | |||||||
\(72\) | 27711.0 | − | 21385.1i | 0.629972 | − | 0.486161i | ||||
\(73\) | 13035.2 | − | 4744.42i | 0.286293 | − | 0.104202i | −0.194882 | − | 0.980827i | \(-0.562432\pi\) |
0.481175 | + | 0.876625i | \(0.340210\pi\) | |||||||
\(74\) | −1091.87 | + | 80132.1i | −0.0231788 | + | 1.70109i | ||||
\(75\) | −4827.29 | −0.0990946 | ||||||||
\(76\) | −24721.7 | − | 43867.6i | −0.490957 | − | 0.871184i | ||||
\(77\) | 23793.8 | 0.457338 | ||||||||
\(78\) | 139.719 | − | 10254.0i | 0.00260028 | − | 0.190834i | ||||
\(79\) | −37883.5 | + | 13788.5i | −0.682940 | + | 0.248570i | −0.660109 | − | 0.751169i | \(-0.729490\pi\) |
−0.0228307 | + | 0.999739i | \(0.507268\pi\) | |||||||
\(80\) | 11483.4 | − | 49259.0i | 0.200607 | − | 0.860519i | ||||
\(81\) | 4398.51 | − | 24945.2i | 0.0744891 | − | 0.422449i | ||||
\(82\) | −3214.28 | − | 9220.14i | −0.0527897 | − | 0.151427i | ||||
\(83\) | 72432.4 | − | 41818.9i | 1.15408 | − | 0.666311i | 0.204205 | − | 0.978928i | \(-0.434539\pi\) |
0.949879 | + | 0.312617i | \(0.101206\pi\) | |||||||
\(84\) | −4826.17 | + | 5443.25i | −0.0746285 | + | 0.0841705i | ||||
\(85\) | −73874.3 | + | 61987.9i | −1.10904 | + | 0.930593i | ||||
\(86\) | −96735.9 | − | 18419.5i | −1.41040 | − | 0.268554i | ||||
\(87\) | 36989.6 | + | 21355.9i | 0.523940 | + | 0.302497i | ||||
\(88\) | −112772. | − | 71407.1i | −1.55237 | − | 0.982958i | ||||
\(89\) | 37782.8 | − | 103808.i | 0.505615 | − | 1.38916i | −0.380105 | − | 0.924943i | \(-0.624112\pi\) |
0.885719 | − | 0.464221i | \(-0.153666\pi\) | |||||||
\(90\) | −26374.9 | − | 47155.0i | −0.343230 | − | 0.613651i | ||||
\(91\) | −1441.86 | − | 8177.17i | −0.0182523 | − | 0.103514i | ||||
\(92\) | −54826.1 | + | 8133.85i | −0.675333 | + | 0.100190i | ||||
\(93\) | 20881.5 | + | 17521.7i | 0.250354 | + | 0.210072i | ||||
\(94\) | 84600.9 | + | 103659.i | 0.987541 | + | 1.21001i | ||||
\(95\) | −72579.7 | + | 27809.6i | −0.825099 | + | 0.316145i | ||||
\(96\) | 39209.5 | − | 11314.8i | 0.434223 | − | 0.125305i | ||||
\(97\) | 65639.4 | − | 78226.0i | 0.708330 | − | 0.844155i | −0.285112 | − | 0.958494i | \(-0.592031\pi\) |
0.993442 | + | 0.114340i | \(0.0364752\pi\) | |||||||
\(98\) | 45640.4 | − | 76621.3i | 0.480048 | − | 0.805906i | ||||
\(99\) | −140417. | + | 24759.3i | −1.43990 | + | 0.253893i | ||||
\(100\) | 20392.1 | + | 8057.89i | 0.203921 | + | 0.0805789i | ||||
\(101\) | −73189.5 | − | 26638.8i | −0.713913 | − | 0.259843i | −0.0405734 | − | 0.999177i | \(-0.512918\pi\) |
−0.673339 | + | 0.739334i | \(0.735141\pi\) | |||||||
\(102\) | −72746.0 | − | 27605.5i | −0.692322 | − | 0.262721i | ||||
\(103\) | 30650.5 | − | 53088.2i | 0.284672 | − | 0.493066i | −0.687858 | − | 0.725846i | \(-0.741449\pi\) |
0.972530 | + | 0.232779i | \(0.0747820\pi\) | |||||||
\(104\) | −17706.6 | + | 43083.2i | −0.160528 | + | 0.390593i | ||||
\(105\) | 7217.85 | + | 8601.90i | 0.0638903 | + | 0.0761414i | ||||
\(106\) | 212595. | − | 34506.5i | 1.83775 | − | 0.298288i | ||||
\(107\) | 56877.5 | + | 98514.8i | 0.480265 | + | 0.831844i | 0.999744 | − | 0.0226395i | \(-0.00720700\pi\) |
−0.519478 | + | 0.854484i | \(0.673874\pi\) | |||||||
\(108\) | 51490.8 | − | 83823.9i | 0.424786 | − | 0.691526i | ||||
\(109\) | 101259. | + | 17854.7i | 0.816335 | + | 0.143942i | 0.566199 | − | 0.824269i | \(-0.308413\pi\) |
0.250136 | + | 0.968211i | \(0.419525\pi\) | |||||||
\(110\) | −134574. | + | 156012.i | −1.06042 | + | 1.22935i | ||||
\(111\) | 34135.7 | + | 93787.0i | 0.262967 | + | 0.722496i | ||||
\(112\) | 29473.5 | − | 14938.1i | 0.222017 | − | 0.112526i | ||||
\(113\) | 1930.74i | 0.0142242i | 0.999975 | + | 0.00711211i | \(0.00226388\pi\) | ||||
−0.999975 | + | 0.00711211i | \(0.997736\pi\) | |||||||
\(114\) | −48168.8 | − | 40155.3i | −0.347139 | − | 0.289388i | ||||
\(115\) | 85554.3i | 0.603250i | ||||||||
\(116\) | −120609. | − | 151959.i | −0.832211 | − | 1.04853i | ||||
\(117\) | 17018.0 | + | 46756.4i | 0.114932 | + | 0.315774i | ||||
\(118\) | 11630.6 | + | 10032.5i | 0.0768951 | + | 0.0663288i | ||||
\(119\) | −62042.9 | − | 10939.8i | −0.401629 | − | 0.0708180i | ||||
\(120\) | −8394.37 | − | 62430.4i | −0.0532151 | − | 0.395770i | ||||
\(121\) | 191333. | + | 331398.i | 1.18802 | + | 2.05772i | ||||
\(122\) | −12537.5 | − | 77243.6i | −0.0762626 | − | 0.469854i | ||||
\(123\) | −7816.66 | − | 9315.53i | −0.0465863 | − | 0.0555194i | ||||
\(124\) | −58962.9 | − | 108874.i | −0.344370 | − | 0.635872i | ||||
\(125\) | 94101.1 | − | 162988.i | 0.538666 | − | 0.932998i | ||||
\(126\) | 12523.0 | − | 33000.6i | 0.0702720 | − | 0.185181i | ||||
\(127\) | 117989. | + | 42944.5i | 0.649131 | + | 0.236264i | 0.645537 | − | 0.763729i | \(-0.276634\pi\) |
0.00359415 | + | 0.999994i | \(0.498856\pi\) | |||||||
\(128\) | −184521. | − | 17652.3i | −0.995455 | − | 0.0952305i | ||||
\(129\) | −120777. | + | 21296.2i | −0.639011 | + | 0.112675i | ||||
\(130\) | 61771.1 | + | 36794.7i | 0.320573 | + | 0.190953i | ||||
\(131\) | −166306. | + | 198195.i | −0.846699 | + | 1.00906i | 0.153084 | + | 0.988213i | \(0.451080\pi\) |
−0.999783 | + | 0.0208433i | \(0.993365\pi\) | |||||||
\(132\) | −162862. | − | 33316.1i | −0.813550 | − | 0.166425i | ||||
\(133\) | −44395.0 | − | 24644.2i | −0.217623 | − | 0.120805i | ||||
\(134\) | 155581. | − | 126976.i | 0.748505 | − | 0.610887i | ||||
\(135\) | −116324. | − | 97607.1i | −0.549330 | − | 0.460943i | ||||
\(136\) | 261224. | + | 238045.i | 1.21106 | + | 1.10360i | ||||
\(137\) | −12924.2 | − | 73296.8i | −0.0588304 | − | 0.333644i | 0.941160 | − | 0.337961i | \(-0.109737\pi\) |
−0.999991 | + | 0.00431665i | \(0.998626\pi\) | |||||||
\(138\) | −60244.6 | + | 33696.3i | −0.269290 | + | 0.150621i | ||||
\(139\) | 27883.2 | − | 76608.4i | 0.122407 | − | 0.336310i | −0.863321 | − | 0.504654i | \(-0.831620\pi\) |
0.985728 | + | 0.168345i | \(0.0538421\pi\) | |||||||
\(140\) | −16132.1 | − | 48385.7i | −0.0695617 | − | 0.208640i | ||||
\(141\) | 144311. | + | 83317.9i | 0.611295 | + | 0.352931i | ||||
\(142\) | −8466.07 | + | 44462.2i | −0.0352339 | + | 0.185042i | ||||
\(143\) | 145349. | − | 121963.i | 0.594392 | − | 0.498754i | ||||
\(144\) | −158391. | + | 118825.i | −0.636537 | + | 0.477533i | ||||
\(145\) | −259341. | + | 149731.i | −1.02436 | + | 0.591413i | ||||
\(146\) | −74097.0 | + | 25831.4i | −0.287686 | + | 0.100292i | ||||
\(147\) | 19287.2 | − | 109383.i | 0.0736167 | − | 0.417501i | ||||
\(148\) | 12351.9 | − | 453169.i | 0.0463533 | − | 1.70062i | ||||
\(149\) | 58921.8 | − | 21445.8i | 0.217425 | − | 0.0791363i | −0.231011 | − | 0.972951i | \(-0.574203\pi\) |
0.448436 | + | 0.893815i | \(0.351981\pi\) | |||||||
\(150\) | 27304.7 | + | 372.050i | 0.0990854 | + | 0.00135012i | ||||
\(151\) | 3926.98 | 0.0140158 | 0.00700788 | − | 0.999975i | \(-0.497769\pi\) | ||||
0.00700788 | + | 0.999975i | \(0.497769\pi\) | |||||||
\(152\) | 136453. | + | 250035.i | 0.479042 | + | 0.877792i | ||||
\(153\) | 377524. | 1.30382 | ||||||||
\(154\) | −134586. | − | 1833.84i | −0.457296 | − | 0.00623104i | ||||
\(155\) | −179592. | + | 65366.0i | −0.600422 | + | 0.218536i | ||||
\(156\) | −1580.60 | + | 57989.2i | −0.00520007 | + | 0.190781i | ||||
\(157\) | 40708.8 | − | 230871.i | 0.131807 | − | 0.747516i | −0.845223 | − | 0.534414i | \(-0.820532\pi\) |
0.977030 | − | 0.213102i | \(-0.0683567\pi\) | |||||||
\(158\) | 215344. | − | 75072.4i | 0.686263 | − | 0.239242i | ||||
\(159\) | 232295. | − | 134115.i | 0.728697 | − | 0.420713i | ||||
\(160\) | −68750.5 | + | 277740.i | −0.212313 | + | 0.857706i | ||||
\(161\) | −42815.1 | + | 35926.1i | −0.130176 | + | 0.109231i | ||||
\(162\) | −26802.0 | + | 140759.i | −0.0802379 | + | 0.421395i | ||||
\(163\) | 95033.1 | + | 54867.4i | 0.280160 | + | 0.161750i | 0.633496 | − | 0.773746i | \(-0.281619\pi\) |
−0.353336 | + | 0.935497i | \(0.614953\pi\) | |||||||
\(164\) | 17470.4 | + | 52399.9i | 0.0507217 | + | 0.152132i | ||||
\(165\) | −87760.7 | + | 241120.i | −0.250952 | + | 0.689484i | ||||
\(166\) | −412925. | + | 230959.i | −1.16306 | + | 0.650525i | ||||
\(167\) | 25371.2 | + | 143887.i | 0.0703962 | + | 0.399237i | 0.999563 | + | 0.0295748i | \(0.00941533\pi\) |
−0.929166 | + | 0.369662i | \(0.879474\pi\) | |||||||
\(168\) | 27717.9 | − | 30416.8i | 0.0757683 | − | 0.0831459i | ||||
\(169\) | 233704. | + | 196101.i | 0.629434 | + | 0.528158i | ||||
\(170\) | 422635. | − | 344930.i | 1.12161 | − | 0.915396i | ||||
\(171\) | 287637. | + | 99238.9i | 0.752236 | + | 0.259532i | ||||
\(172\) | 545750. | + | 111642.i | 1.40661 | + | 0.287745i | ||||
\(173\) | −398173. | + | 474524.i | −1.01148 | + | 1.20543i | −0.0329197 | + | 0.999458i | \(0.510481\pi\) |
−0.978558 | + | 0.205974i | \(0.933964\pi\) | |||||||
\(174\) | −207579. | − | 123647.i | −0.519770 | − | 0.309607i | ||||
\(175\) | 21774.5 | − | 3839.43i | 0.0537468 | − | 0.00947701i | ||||
\(176\) | 632372. | + | 412594.i | 1.53883 | + | 1.00402i | ||||
\(177\) | 17975.5 | + | 6542.53i | 0.0431268 | + | 0.0156969i | ||||
\(178\) | −221713. | + | 584257.i | −0.524494 | + | 1.38215i | ||||
\(179\) | −155123. | + | 268681.i | −0.361863 | + | 0.626764i | −0.988267 | − | 0.152734i | \(-0.951192\pi\) |
0.626405 | + | 0.779498i | \(0.284526\pi\) | |||||||
\(180\) | 145551. | + | 268757.i | 0.334837 | + | 0.618271i | ||||
\(181\) | −290580. | − | 346300.i | −0.659280 | − | 0.785699i | 0.328002 | − | 0.944677i | \(-0.393625\pi\) |
−0.987282 | + | 0.158978i | \(0.949180\pi\) | |||||||
\(182\) | 7525.38 | + | 46363.9i | 0.0168403 | + | 0.103753i | ||||
\(183\) | −48729.2 | − | 84401.5i | −0.107563 | − | 0.186304i | ||||
\(184\) | 310741. | − | 41782.1i | 0.676635 | − | 0.0909800i | ||||
\(185\) | −689129. | − | 121512.i | −1.48037 | − | 0.261030i | ||||
\(186\) | −116762. | − | 100718.i | −0.247469 | − | 0.213464i | ||||
\(187\) | −492380. | − | 1.35280e6i | −1.02967 | − | 2.82898i | ||||
\(188\) | −470541. | − | 592852.i | −0.970964 | − | 1.22335i | ||||
\(189\) | − | 99200.8i | − | 0.202004i | ||||||
\(190\) | 412678. | − | 151706.i | 0.829330 | − | 0.304874i | ||||
\(191\) | 198944.i | 0.394592i | 0.980344 | + | 0.197296i | \(0.0632160\pi\) | ||||
−0.980344 | + | 0.197296i | \(0.936784\pi\) | |||||||
\(192\) | −222654. | + | 60978.3i | −0.435890 | + | 0.119377i | ||||
\(193\) | −88275.6 | − | 242535.i | −0.170587 | − | 0.468685i | 0.824709 | − | 0.565557i | \(-0.191339\pi\) |
−0.995297 | + | 0.0968714i | \(0.969116\pi\) | |||||||
\(194\) | −377307. | + | 437413.i | −0.719765 | + | 0.834426i | ||||
\(195\) | 88183.4 | + | 15549.1i | 0.166073 | + | 0.0292832i | ||||
\(196\) | −264063. | + | 429878.i | −0.490983 | + | 0.799291i | ||||
\(197\) | −175940. | − | 304738.i | −0.322998 | − | 0.559449i | 0.658107 | − | 0.752924i | \(-0.271357\pi\) |
−0.981105 | + | 0.193475i | \(0.938024\pi\) | |||||||
\(198\) | 796154. | − | 129225.i | 1.44322 | − | 0.234251i | ||||
\(199\) | 369939. | + | 440876.i | 0.662213 | + | 0.789194i | 0.987701 | − | 0.156352i | \(-0.0499733\pi\) |
−0.325489 | + | 0.945546i | \(0.605529\pi\) | |||||||
\(200\) | −114724. | − | 47149.8i | −0.202805 | − | 0.0833498i | ||||
\(201\) | 125051. | − | 216594.i | 0.218321 | − | 0.378143i | ||||
\(202\) | 411931. | + | 156319.i | 0.710306 | + | 0.269546i | ||||
\(203\) | −183835. | − | 66910.4i | −0.313103 | − | 0.113960i | ||||
\(204\) | 409347. | + | 161752.i | 0.688679 | + | 0.272129i | ||||
\(205\) | 83964.7 | − | 14805.2i | 0.139544 | − | 0.0246054i | ||||
\(206\) | −177461. | + | 297922.i | −0.291363 | + | 0.489142i | ||||
\(207\) | 215285. | − | 256567.i | 0.349212 | − | 0.416174i | ||||
\(208\) | 103475. | − | 242328.i | 0.165835 | − | 0.388370i | ||||
\(209\) | −19537.8 | − | 1.16013e6i | −0.0309393 | − | 1.83714i | ||||
\(210\) | −40163.6 | − | 49211.5i | −0.0628469 | − | 0.0770049i | ||||
\(211\) | 164983. | + | 138437.i | 0.255113 | + | 0.214066i | 0.761371 | − | 0.648317i | \(-0.224527\pi\) |
−0.506257 | + | 0.862383i | \(0.668971\pi\) | |||||||
\(212\) | −1.20516e6 | + | 178795.i | −1.84165 | + | 0.273222i | ||||
\(213\) | 9788.25 | + | 55511.9i | 0.0147828 | + | 0.0838373i | ||||
\(214\) | −314125. | − | 561616.i | −0.468887 | − | 0.838310i | ||||
\(215\) | 294086. | − | 807995.i | 0.433889 | − | 1.19210i | ||||
\(216\) | −297709. | + | 470167.i | −0.434168 | + | 0.685674i | ||||
\(217\) | −108126. | − | 62426.9i | −0.155877 | − | 0.0899958i | ||||
\(218\) | −571380. | − | 108797.i | −0.814298 | − | 0.155051i | ||||
\(219\) | −74863.6 | + | 62818.0i | −0.105478 | + | 0.0885062i | ||||
\(220\) | 773219. | − | 872083.i | 1.07707 | − | 1.21479i | ||||
\(221\) | −435077. | + | 251192.i | −0.599219 | + | 0.345959i | ||||
\(222\) | −185854. | − | 533121.i | −0.253099 | − | 0.726012i | ||||
\(223\) | 125502. | − | 711760.i | 0.169001 | − | 0.958454i | −0.775841 | − | 0.630928i | \(-0.782674\pi\) |
0.944842 | − | 0.327526i | \(-0.106215\pi\) | |||||||
\(224\) | −167863. | + | 82223.4i | −0.223530 | + | 0.109490i | ||||
\(225\) | −124505. | + | 45316.1i | −0.163957 | + | 0.0596755i | ||||
\(226\) | 148.807 | − | 10920.9i | 0.000193799 | − | 0.0142229i | ||||
\(227\) | −403979. | −0.520348 | −0.260174 | − | 0.965562i | \(-0.583780\pi\) | ||||
−0.260174 | + | 0.965562i | \(0.583780\pi\) | |||||||
\(228\) | 269364. | + | 230844.i | 0.343164 | + | 0.294091i | ||||
\(229\) | −455588. | −0.574095 | −0.287047 | − | 0.957916i | \(-0.592674\pi\) | ||||
−0.287047 | + | 0.957916i | \(0.592674\pi\) | |||||||
\(230\) | 6593.86 | − | 483923.i | 0.00821902 | − | 0.603194i | ||||
\(231\) | −157520. | + | 57332.5i | −0.194225 | + | 0.0706922i | ||||
\(232\) | 670490. | + | 868827.i | 0.817848 | + | 1.05977i | ||||
\(233\) | 117120. | − | 664218.i | 0.141332 | − | 0.801532i | −0.828908 | − | 0.559385i | \(-0.811037\pi\) |
0.970240 | − | 0.242147i | \(-0.0778517\pi\) | |||||||
\(234\) | −92655.5 | − | 265781.i | −0.110620 | − | 0.317311i | ||||
\(235\) | −1.01179e6 | + | 584158.i | −1.19515 | + | 0.690018i | ||||
\(236\) | −65013.5 | − | 57643.2i | −0.0759843 | − | 0.0673703i | ||||
\(237\) | 217572. | − | 182565.i | 0.251613 | − | 0.211128i | ||||
\(238\) | 350092. | + | 66661.1i | 0.400627 | + | 0.0762834i | ||||
\(239\) | 681481. | + | 393453.i | 0.771718 | + | 0.445552i | 0.833487 | − | 0.552539i | \(-0.186341\pi\) |
−0.0617689 | + | 0.998090i | \(0.519674\pi\) | |||||||
\(240\) | 42669.7 | + | 353774.i | 0.0478180 | + | 0.396459i | ||||
\(241\) | 91520.8 | − | 251451.i | 0.101503 | − | 0.278876i | −0.878538 | − | 0.477672i | \(-0.841481\pi\) |
0.980041 | + | 0.198796i | \(0.0637030\pi\) | |||||||
\(242\) | −1.05670e6 | − | 1.88924e6i | −1.15988 | − | 2.07371i | ||||
\(243\) | 160710. | + | 911430.i | 0.174593 | + | 0.990166i | ||||
\(244\) | 64962.9 | + | 437882.i | 0.0698539 | + | 0.470849i | ||||
\(245\) | 596548. | + | 500563.i | 0.634936 | + | 0.532775i | ||||
\(246\) | 43495.6 | + | 53294.1i | 0.0458256 | + | 0.0561490i | ||||
\(247\) | −397517. | + | 77016.2i | −0.414585 | + | 0.0803230i | ||||
\(248\) | 325123. | + | 620371.i | 0.335674 | + | 0.640504i | ||||
\(249\) | −378752. | + | 451379.i | −0.387130 | + | 0.461363i | ||||
\(250\) | −544829. | + | 914661.i | −0.551328 | + | 0.925572i | ||||
\(251\) | 233173. | − | 41114.6i | 0.233611 | − | 0.0411919i | −0.0556170 | − | 0.998452i | \(-0.517713\pi\) |
0.289228 | + | 0.957260i | \(0.406601\pi\) | |||||||
\(252\) | −73377.7 | + | 185697.i | −0.0727885 | + | 0.184206i | ||||
\(253\) | −1.20015e6 | − | 436820.i | −1.17879 | − | 0.429043i | ||||
\(254\) | −664075. | − | 252002.i | −0.645852 | − | 0.245087i | ||||
\(255\) | 339699. | − | 588376.i | 0.327148 | − | 0.566637i | ||||
\(256\) | 1.04235e6 | + | 114069.i | 0.994065 | + | 0.108784i | ||||
\(257\) | 551966. | + | 657808.i | 0.521291 | + | 0.621250i | 0.960885 | − | 0.276946i | \(-0.0893224\pi\) |
−0.439595 | + | 0.898196i | \(0.644878\pi\) | |||||||
\(258\) | 684793. | − | 111150.i | 0.640487 | − | 0.103958i | ||||
\(259\) | −228571. | − | 395896.i | −0.211724 | − | 0.366717i | ||||
\(260\) | −346562. | − | 212884.i | −0.317942 | − | 0.195303i | ||||
\(261\) | 1.15451e6 | + | 203571.i | 1.04905 | + | 0.184976i | ||||
\(262\) | 955955. | − | 1.10824e6i | 0.860368 | − | 0.997427i | ||||
\(263\) | −259069. | − | 711786.i | −0.230954 | − | 0.634541i | 0.769035 | − | 0.639207i | \(-0.220737\pi\) |
−0.999989 | + | 0.00466531i | \(0.998515\pi\) | |||||||
\(264\) | 918632. | + | 200999.i | 0.811207 | + | 0.177494i | ||||
\(265\) | 1.88062e6i | 1.64508i | ||||||||
\(266\) | 249213. | + | 142817.i | 0.215957 | + | 0.123759i | ||||
\(267\) | 778266.i | 0.668113i | ||||||||
\(268\) | −889804. | + | 706229.i | −0.756759 | + | 0.600632i | ||||
\(269\) | 488760. | + | 1.34286e6i | 0.411827 | + | 1.13148i | 0.956218 | + | 0.292654i | \(0.0945383\pi\) |
−0.544392 | + | 0.838831i | \(0.683239\pi\) | |||||||
\(270\) | 650442. | + | 561063.i | 0.542999 | + | 0.468385i | ||||
\(271\) | 1.06178e6 | + | 187221.i | 0.878239 | + | 0.154857i | 0.594550 | − | 0.804059i | \(-0.297330\pi\) |
0.283690 | + | 0.958916i | \(0.408441\pi\) | |||||||
\(272\) | −1.45922e6 | − | 1.36660e6i | −1.19591 | − | 1.12000i | ||||
\(273\) | 29248.7 | + | 50660.2i | 0.0237520 | + | 0.0411397i | ||||
\(274\) | 67454.4 | + | 415587.i | 0.0542792 | + | 0.334415i | ||||
\(275\) | 324767. | + | 387042.i | 0.258964 | + | 0.308622i | ||||
\(276\) | 343361. | − | 185954.i | 0.271317 | − | 0.146938i | ||||
\(277\) | 590237. | − | 1.02232e6i | 0.462197 | − | 0.800549i | −0.536873 | − | 0.843663i | \(-0.680395\pi\) |
0.999070 | + | 0.0431143i | \(0.0137280\pi\) | |||||||
\(278\) | −163621. | + | 431173.i | −0.126977 | + | 0.334611i | ||||
\(279\) | 703058. | + | 255892.i | 0.540731 | + | 0.196810i | ||||
\(280\) | 87519.2 | + | 274929.i | 0.0667126 | + | 0.209568i | ||||
\(281\) | −1.10539e6 | + | 194910.i | −0.835122 | + | 0.147254i | −0.574827 | − | 0.818275i | \(-0.694931\pi\) |
−0.260294 | + | 0.965529i | \(0.583820\pi\) | |||||||
\(282\) | −809848. | − | 482396.i | −0.606430 | − | 0.361227i | ||||
\(283\) | −731696. | + | 872002.i | −0.543081 | + | 0.647219i | −0.965876 | − | 0.259007i | \(-0.916605\pi\) |
0.422794 | + | 0.906226i | \(0.361049\pi\) | |||||||
\(284\) | 51313.7 | − | 250841.i | 0.0377518 | − | 0.184545i | ||||
\(285\) | 413483. | − | 358990.i | 0.301540 | − | 0.261800i | ||||
\(286\) | −831544. | + | 678659.i | −0.601133 | + | 0.490610i | ||||
\(287\) | 42667.8 | + | 35802.6i | 0.0305771 | + | 0.0256572i | ||||
\(288\) | 905068. | − | 659908.i | 0.642984 | − | 0.468816i | ||||
\(289\) | 415349. | + | 2.35556e6i | 0.292528 | + | 1.65901i | ||||
\(290\) | 1.47846e6 | − | 826938.i | 1.03232 | − | 0.577401i | ||||
\(291\) | −246056. | + | 676034.i | −0.170334 | + | 0.467989i | ||||
\(292\) | 421108. | − | 140400.i | 0.289026 | − | 0.0963628i | ||||
\(293\) | 867329. | + | 500753.i | 0.590221 | + | 0.340764i | 0.765185 | − | 0.643810i | \(-0.222647\pi\) |
−0.174964 | + | 0.984575i | \(0.555981\pi\) | |||||||
\(294\) | −117525. | + | 617222.i | −0.0792982 | + | 0.416459i | ||||
\(295\) | −102740. | + | 86209.2i | −0.0687361 | + | 0.0576765i | ||||
\(296\) | −104793. | + | 2.56232e6i | −0.0695191 | + | 1.69983i | ||||
\(297\) | 1.96315e6 | − | 1.13343e6i | 1.29141 | − | 0.745593i | ||||
\(298\) | −334934. | + | 116763.i | −0.218483 | + | 0.0761667i | ||||
\(299\) | −77394.2 | + | 438924.i | −0.0500646 | + | 0.283930i | ||||
\(300\) | −154416. | − | 4208.87i | −0.0990578 | − | 0.00269999i | ||||
\(301\) | 527850. | − | 192122.i | 0.335810 | − | 0.122225i | ||||
\(302\) | −22212.3 | − | 302.661i | −0.0140145 | − | 0.000190959i | ||||
\(303\) | 548716. | 0.343353 | ||||||||
\(304\) | −752552. | − | 1.42480e6i | −0.467038 | − | 0.884237i | ||||
\(305\) | 683300. | 0.420593 | ||||||||
\(306\) | −2.13540e6 | − | 29096.6i | −1.30369 | − | 0.0177639i | ||||
\(307\) | −2.86695e6 | + | 1.04348e6i | −1.73610 | + | 0.631888i | −0.999034 | − | 0.0439369i | \(-0.986010\pi\) |
−0.737063 | + | 0.675825i | \(0.763788\pi\) | |||||||
\(308\) | 761120. | + | 20745.7i | 0.457169 | + | 0.0124609i | ||||
\(309\) | −74993.4 | + | 425309.i | −0.0446814 | + | 0.253401i | ||||
\(310\) | 1.02087e6 | − | 355890.i | 0.603344 | − | 0.210335i | ||||
\(311\) | 462453. | − | 266998.i | 0.271123 | − | 0.156533i | −0.358275 | − | 0.933616i | \(-0.616635\pi\) |
0.629398 | + | 0.777083i | \(0.283302\pi\) | |||||||
\(312\) | 13409.7 | − | 327884.i | 0.00779891 | − | 0.190693i | ||||
\(313\) | −132663. | + | 111318.i | −0.0765402 | + | 0.0642249i | −0.680255 | − | 0.732975i | \(-0.738131\pi\) |
0.603715 | + | 0.797200i | \(0.293687\pi\) | |||||||
\(314\) | −248056. | + | 1.30275e6i | −0.141980 | + | 0.745651i | ||||
\(315\) | 266912. | + | 154102.i | 0.151563 | + | 0.0875047i | ||||
\(316\) | −1.22384e6 | + | 408037.i | −0.689459 | + | 0.229870i | ||||
\(317\) | 632935. | − | 1.73897e6i | 0.353762 | − | 0.971952i | −0.627389 | − | 0.778706i | \(-0.715876\pi\) |
0.981150 | − | 0.193246i | \(-0.0619015\pi\) | |||||||
\(318\) | −1.32427e6 | + | 740698.i | −0.734361 | + | 0.410746i | ||||
\(319\) | −776283. | − | 4.40252e6i | −0.427113 | − | 2.42228i | ||||
\(320\) | 410282. | − | 1.56569e6i | 0.223979 | − | 0.854733i | ||||
\(321\) | −613917. | − | 515138.i | −0.332543 | − | 0.279036i | ||||
\(322\) | 244945. | − | 199910.i | 0.131653 | − | 0.107447i | ||||
\(323\) | −482457. | + | 3.03406e6i | −0.257308 | + | 1.61815i | ||||
\(324\) | 162450. | − | 794114.i | 0.0859718 | − | 0.420262i | ||||
\(325\) | 113334. | − | 135066.i | 0.0595183 | − | 0.0709311i | ||||
\(326\) | −533310. | − | 317672.i | −0.277930 | − | 0.165552i | ||||
\(327\) | −713378. | + | 125788.i | −0.368935 | + | 0.0650533i | ||||
\(328\) | −94779.9 | − | 297737.i | −0.0486443 | − | 0.152809i | ||||
\(329\) | −717211. | − | 261044.i | −0.365306 | − | 0.132961i | ||||
\(330\) | 514987. | − | 1.35709e6i | 0.260322 | − | 0.686001i | ||||
\(331\) | 1.04000e6 | − | 1.80133e6i | 0.521752 | − | 0.903700i | −0.477928 | − | 0.878399i | \(-0.658612\pi\) |
0.999680 | − | 0.0253013i | \(-0.00805453\pi\) | |||||||
\(332\) | 2.35344e6 | − | 1.27455e6i | 1.17181 | − | 0.634619i | ||||
\(333\) | 1.76085e6 | + | 2.09850e6i | 0.870184 | + | 1.03705i | ||||
\(334\) | −132418. | − | 815828.i | −0.0649502 | − | 0.400159i | ||||
\(335\) | 876754. | + | 1.51858e6i | 0.426841 | + | 0.739310i | ||||
\(336\) | −159126. | + | 169911.i | −0.0768941 | + | 0.0821058i | ||||
\(337\) | −1.19154e6 | − | 210100.i | −0.571521 | − | 0.100775i | −0.119583 | − | 0.992824i | \(-0.538156\pi\) |
−0.451937 | + | 0.892050i | \(0.649267\pi\) | |||||||
\(338\) | −1.30680e6 | − | 1.12723e6i | −0.622180 | − | 0.536685i | ||||
\(339\) | −4652.23 | − | 12781.9i | −0.00219868 | − | 0.00604083i | ||||
\(340\) | −2.41715e6 | + | 1.91847e6i | −1.13398 | + | 0.900030i | ||||
\(341\) | − | 2.85305e6i | − | 1.32869i | ||||||
\(342\) | −1.61932e6 | − | 583497.i | −0.748631 | − | 0.269757i | ||||
\(343\) | 1.05107e6i | 0.482389i | ||||||||
\(344\) | −3.07834e6 | − | 673549.i | −1.40256 | − | 0.306883i | ||||
\(345\) | −206148. | − | 566386.i | −0.0932461 | − | 0.256192i | ||||
\(346\) | 2.28877e6 | − | 2.65337e6i | 1.02781 | − | 1.19154i | ||||
\(347\) | 1.40427e6 | + | 247610.i | 0.626075 | + | 0.110394i | 0.477680 | − | 0.878534i | \(-0.341478\pi\) |
0.148396 | + | 0.988928i | \(0.452589\pi\) | |||||||
\(348\) | 1.16461e6 | + | 715387.i | 0.515503 | + | 0.316660i | ||||
\(349\) | 16965.3 | + | 29384.7i | 0.00745584 | + | 0.0129139i | 0.869729 | − | 0.493529i | \(-0.164293\pi\) |
−0.862273 | + | 0.506443i | \(0.830960\pi\) | |||||||
\(350\) | −123460. | + | 20038.9i | −0.0538710 | + | 0.00874386i | ||||
\(351\) | −508485. | − | 605988.i | −0.220298 | − | 0.262541i | ||||
\(352\) | −3.54510e6 | − | 2.38250e6i | −1.52501 | − | 1.02489i | ||||
\(353\) | 469391. | − | 813008.i | 0.200492 | − | 0.347263i | −0.748195 | − | 0.663479i | \(-0.769079\pi\) |
0.948687 | + | 0.316216i | \(0.102413\pi\) | |||||||
\(354\) | −101171. | − | 38392.1i | −0.0429089 | − | 0.0162830i | ||||
\(355\) | −371375. | − | 135169.i | −0.156402 | − | 0.0569256i | ||||
\(356\) | 1.29911e6 | − | 3.28766e6i | 0.543277 | − | 1.37487i | ||||
\(357\) | 437096. | − | 77071.9i | 0.181513 | − | 0.0320056i | ||||
\(358\) | 898135. | − | 1.50779e6i | 0.370368 | − | 0.621776i | ||||
\(359\) | −1.75590e6 | + | 2.09259e6i | −0.719056 | + | 0.856937i | −0.994539 | − | 0.104369i | \(-0.966718\pi\) |
0.275483 | + | 0.961306i | \(0.411162\pi\) | |||||||
\(360\) | −802571. | − | 1.53140e6i | −0.326383 | − | 0.622775i | ||||
\(361\) | −1.16514e6 | + | 2.18484e6i | −0.470555 | + | 0.882371i | ||||
\(362\) | 1.61693e6 | + | 1.98118e6i | 0.648514 | + | 0.794609i | ||||
\(363\) | −2.06518e6 | − | 1.73289e6i | −0.822605 | − | 0.690248i | ||||
\(364\) | −38992.6 | − | 262829.i | −0.0154251 | − | 0.103973i | ||||
\(365\) | −118981. | − | 674777.i | −0.0467462 | − | 0.265111i | ||||
\(366\) | 269123. | + | 481158.i | 0.105014 | + | 0.187752i | ||||
\(367\) | 688208. | − | 1.89084e6i | 0.266719 | − | 0.732805i | −0.731956 | − | 0.681352i | \(-0.761392\pi\) |
0.998675 | − | 0.0514535i | \(-0.0163854\pi\) | |||||||
\(368\) | −1.76088e6 | + | 212384.i | −0.677812 | + | 0.0817527i | ||||
\(369\) | −289056. | − | 166886.i | −0.110514 | − | 0.0638050i | ||||
\(370\) | 3.88857e6 | + | 740425.i | 1.47668 | + | 0.281175i | ||||
\(371\) | −941144. | + | 789714.i | −0.354994 | + | 0.297876i | ||||
\(372\) | 652684. | + | 578692.i | 0.244537 | + | 0.216815i | ||||
\(373\) | −2.78370e6 | + | 1.60717e6i | −1.03598 | + | 0.598122i | −0.918691 | − | 0.394976i | \(-0.870753\pi\) |
−0.117286 | + | 0.993098i | \(0.537420\pi\) | |||||||
\(374\) | 2.68080e6 | + | 7.68984e6i | 0.991026 | + | 2.84275i | ||||
\(375\) | −230240. | + | 1.30575e6i | −0.0845478 | + | 0.479494i | ||||
\(376\) | 2.61584e6 | + | 3.38963e6i | 0.954206 | + | 1.23647i | ||||
\(377\) | −1.46596e6 | + | 533566.i | −0.531214 | + | 0.193346i | ||||
\(378\) | −7645.63 | + | 561113.i | −0.00275222 | + | 0.201986i | ||||
\(379\) | 2.66126e6 | 0.951675 | 0.475837 | − | 0.879533i | \(-0.342145\pi\) | ||||
0.475837 | + | 0.879533i | \(0.342145\pi\) | |||||||
\(380\) | −2.34593e6 | + | 826296.i | −0.833406 | + | 0.293546i | ||||
\(381\) | −884588. | −0.312197 | ||||||||
\(382\) | 15333.1 | − | 1.12530e6i | 0.00537615 | − | 0.394555i | ||||
\(383\) | 1.99399e6 | − | 725754.i | 0.694587 | − | 0.252809i | 0.0294891 | − | 0.999565i | \(-0.490612\pi\) |
0.665098 | + | 0.746756i | \(0.268390\pi\) | |||||||
\(384\) | 1.26410e6 | − | 327753.i | 0.437476 | − | 0.113427i | ||||
\(385\) | 204085. | − | 1.15742e6i | 0.0701713 | − | 0.397961i | ||||
\(386\) | 480623. | + | 1.37866e6i | 0.164186 | + | 0.470966i | ||||
\(387\) | −2.91514e6 | + | 1.68306e6i | −0.989422 | + | 0.571243i | ||||
\(388\) | 2.16789e6 | − | 2.44507e6i | 0.731067 | − | 0.824542i | ||||
\(389\) | 492803. | − | 413511.i | 0.165120 | − | 0.138552i | −0.556484 | − | 0.830859i | \(-0.687850\pi\) |
0.721604 | + | 0.692306i | \(0.243405\pi\) | |||||||
\(390\) | −497596. | − | 94747.4i | −0.165659 | − | 0.0315432i | ||||
\(391\) | 2.92859e6 | + | 1.69082e6i | 0.968760 | + | 0.559314i | ||||
\(392\) | 1.52676e6 | − | 2.41118e6i | 0.501828 | − | 0.792528i | ||||
\(393\) | 623414. | − | 1.71282e6i | 0.203608 | − | 0.559409i | ||||
\(394\) | 971690. | + | 1.73726e6i | 0.315346 | + | 0.563798i | ||||
\(395\) | 345790. | + | 1.96107e6i | 0.111511 | + | 0.632412i | ||||
\(396\) | −4.51327e6 | + | 669576.i | −1.44628 | + | 0.214566i | ||||
\(397\) | −2.78968e6 | − | 2.34082e6i | −0.888337 | − | 0.745403i | 0.0795388 | − | 0.996832i | \(-0.474655\pi\) |
−0.967876 | + | 0.251428i | \(0.919100\pi\) | |||||||
\(398\) | −2.05852e6 | − | 2.52225e6i | −0.651399 | − | 0.798144i | ||||
\(399\) | 353285. | + | 56177.2i | 0.111095 | + | 0.0176656i | ||||
\(400\) | 645280. | + | 275537.i | 0.201650 | + | 0.0861052i | ||||
\(401\) | 673551. | − | 802707.i | 0.209175 | − | 0.249285i | −0.651249 | − | 0.758864i | \(-0.725755\pi\) |
0.860424 | + | 0.509579i | \(0.170199\pi\) | |||||||
\(402\) | −724021. | + | 1.21549e6i | −0.223453 | + | 0.375134i | ||||
\(403\) | −980501. | + | 172889.i | −0.300736 | + | 0.0530279i | ||||
\(404\) | −2.31797e6 | − | 915938.i | −0.706568 | − | 0.279198i | ||||
\(405\) | −1.17570e6 | − | 427921.i | −0.356173 | − | 0.129636i | ||||
\(406\) | 1.03467e6 | + | 392636.i | 0.311522 | + | 0.118216i | ||||
\(407\) | 5.22310e6 | − | 9.04667e6i | 1.56294 | − | 2.70709i | ||||
\(408\) | −2.30294e6 | − | 946474.i | −0.684907 | − | 0.281487i | ||||
\(409\) | −772035. | − | 920076.i | −0.228207 | − | 0.271966i | 0.639775 | − | 0.768562i | \(-0.279028\pi\) |
−0.867982 | + | 0.496596i | \(0.834583\pi\) | |||||||
\(410\) | −476073. | + | 77272.0i | −0.139867 | + | 0.0227019i | ||||
\(411\) | 262173. | + | 454097.i | 0.0765568 | + | 0.132600i | ||||
\(412\) | 1.02674e6 | − | 1.67147e6i | 0.298001 | − | 0.485127i | ||||
\(413\) | −86285.7 | − | 15214.5i | −0.0248922 | − | 0.00438917i | ||||
\(414\) | −1.23750e6 | + | 1.43464e6i | −0.354850 | + | 0.411378i | ||||
\(415\) | −1.41296e6 | − | 3.88209e6i | −0.402727 | − | 1.10648i | ||||
\(416\) | −603964. | + | 1.36271e6i | −0.171111 | + | 0.386074i | ||||
\(417\) | 574349.i | 0.161747i | ||||||||
\(418\) | 21098.2 | + | 6.56361e6i | 0.00590617 | + | 1.83739i | ||||
\(419\) | − | 3.24349e6i | − | 0.902562i | −0.892382 | − | 0.451281i | \(-0.850967\pi\) | ||
0.892382 | − | 0.451281i | \(-0.149033\pi\) | |||||||
\(420\) | 223386. | + | 281452.i | 0.0617919 | + | 0.0778540i | ||||
\(421\) | 1.66367e6 | + | 4.57090e6i | 0.457469 | + | 1.25689i | 0.927363 | + | 0.374163i | \(0.122070\pi\) |
−0.469894 | + | 0.882723i | \(0.655708\pi\) | |||||||
\(422\) | −922529. | − | 795763.i | −0.252173 | − | 0.217522i | ||||
\(423\) | 4.50419e6 | + | 794211.i | 1.22396 | + | 0.215817i | ||||
\(424\) | 6.83059e6 | − | 918438.i | 1.84520 | − | 0.248105i | ||||
\(425\) | −668884. | − | 1.15854e6i | −0.179630 | − | 0.311128i | ||||
\(426\) | −51087.2 | − | 314748.i | −0.0136392 | − | 0.0840310i | ||||
\(427\) | 286933. | + | 341953.i | 0.0761571 | + | 0.0907605i | ||||
\(428\) | 1.73351e6 | + | 3.20089e6i | 0.457422 | + | 0.844621i | ||||
\(429\) | −668366. | + | 1.15764e6i | −0.175336 | + | 0.303691i | ||||
\(430\) | −1.72572e6 | + | 4.54762e6i | −0.450091 | + | 1.18608i | ||||
\(431\) | −1.76725e6 | − | 643225.i | −0.458251 | − | 0.166790i | 0.102572 | − | 0.994726i | \(-0.467293\pi\) |
−0.560823 | + | 0.827936i | \(0.689515\pi\) | |||||||
\(432\) | 1.72018e6 | − | 2.63647e6i | 0.443470 | − | 0.679695i | ||||
\(433\) | −1.09281e6 | + | 192692.i | −0.280107 | + | 0.0493905i | −0.311937 | − | 0.950103i | \(-0.600978\pi\) |
0.0318295 | + | 0.999493i | \(0.489867\pi\) | |||||||
\(434\) | 606788. | + | 361440.i | 0.154637 | + | 0.0921112i | ||||
\(435\) | 1.35610e6 | − | 1.61614e6i | 0.343613 | − | 0.409502i | ||||
\(436\) | 3.22353e6 | + | 659427.i | 0.812110 | + | 0.166131i | ||||
\(437\) | 1.78684e6 | + | 2.05807e6i | 0.447591 | + | 0.515533i | ||||
\(438\) | 428295. | − | 349549.i | 0.106674 | − | 0.0870609i | ||||
\(439\) | −4.51773e6 | − | 3.79082e6i | −1.11882 | − | 0.938798i | −0.120272 | − | 0.992741i | \(-0.538377\pi\) |
−0.998544 | + | 0.0539429i | \(0.982821\pi\) | |||||||
\(440\) | −4.44079e6 | + | 4.87319e6i | −1.09353 | + | 1.20000i | ||||
\(441\) | −529380. | − | 3.00226e6i | −0.129620 | − | 0.735109i | ||||
\(442\) | 2.48030e6 | − | 1.38729e6i | 0.603877 | − | 0.337763i | ||||
\(443\) | −2.54769e6 | + | 6.99973e6i | −0.616791 | + | 1.69462i | 0.0979152 | + | 0.995195i | \(0.468783\pi\) |
−0.714706 | + | 0.699425i | \(0.753440\pi\) | |||||||
\(444\) | 1.01016e6 | + | 3.02983e6i | 0.243184 | + | 0.729393i | ||||
\(445\) | −4.72553e6 | − | 2.72829e6i | −1.13123 | − | 0.653115i | ||||
\(446\) | −764740. | + | 4.01628e6i | −0.182044 | + | 0.956063i | ||||
\(447\) | −338399. | + | 283950.i | −0.0801051 | + | 0.0672162i | ||||
\(448\) | 955826. | − | 452145.i | 0.225001 | − | 0.106435i | ||||
\(449\) | 3.64541e6 | − | 2.10468e6i | 0.853356 | − | 0.492685i | −0.00842610 | − | 0.999964i | \(-0.502682\pi\) |
0.861782 | + | 0.507279i | \(0.169349\pi\) | |||||||
\(450\) | 707733. | − | 246727.i | 0.164755 | − | 0.0574361i | ||||
\(451\) | −221017. | + | 1.25345e6i | −0.0511662 | + | 0.290178i | ||||
\(452\) | −1683.40 | + | 61760.9i | −0.000387562 | + | 0.0142189i | ||||
\(453\) | −25997.4 | + | 9462.28i | −0.00595229 | + | 0.00216646i | ||||
\(454\) | 2.28504e6 | + | 31135.5i | 0.520300 | + | 0.00708952i | ||||
\(455\) | −410137. | −0.0928753 | ||||||||
\(456\) | −1.50582e6 | − | 1.32649e6i | −0.339125 | − | 0.298739i | ||||
\(457\) | −3.87130e6 | −0.867094 | −0.433547 | − | 0.901131i | \(-0.642738\pi\) | ||||
−0.433547 | + | 0.901131i | \(0.642738\pi\) | |||||||
\(458\) | 2.57696e6 | + | 35113.2i | 0.574042 | + | 0.00782180i | ||||
\(459\) | −5.64008e6 | + | 2.05282e6i | −1.24955 | + | 0.454799i | ||||
\(460\) | −74594.1 | + | 2.73672e6i | −0.0164365 | + | 0.603026i | ||||
\(461\) | −1.28063e6 | + | 7.26280e6i | −0.280653 | + | 1.59166i | 0.439757 | + | 0.898117i | \(0.355064\pi\) |
−0.720411 | + | 0.693548i | \(0.756047\pi\) | |||||||
\(462\) | 895403. | − | 312151.i | 0.195170 | − | 0.0680394i | ||||
\(463\) | 4.03232e6 | − | 2.32806e6i | 0.874184 | − | 0.504711i | 0.00544788 | − | 0.999985i | \(-0.498266\pi\) |
0.868736 | + | 0.495275i | \(0.164933\pi\) | |||||||
\(464\) | −3.72555e6 | − | 4.96605e6i | −0.803333 | − | 1.07082i | ||||
\(465\) | 1.03143e6 | − | 865471.i | 0.221211 | − | 0.185618i | ||||
\(466\) | −713660. | + | 3.74801e6i | −0.152239 | + | 0.799532i | ||||
\(467\) | −4.69132e6 | − | 2.70854e6i | −0.995412 | − | 0.574702i | −0.0885247 | − | 0.996074i | \(-0.528215\pi\) |
−0.906888 | + | 0.421372i | \(0.861549\pi\) | |||||||
\(468\) | 503606. | + | 1.51049e6i | 0.106286 | + | 0.318789i | ||||
\(469\) | −391797. | + | 1.07645e6i | −0.0822486 | + | 0.225976i | ||||
\(470\) | 5.76804e6 | − | 3.22621e6i | 1.20444 | − | 0.673671i | ||||
\(471\) | 286796. | + | 1.62650e6i | 0.0595692 | + | 0.337833i | ||||
\(472\) | 363295. | + | 331060.i | 0.0750593 | + | 0.0683993i | ||||
\(473\) | 9.83300e6 | + | 8.25087e6i | 2.02085 | + | 1.69569i | ||||
\(474\) | −1.24473e6 | + | 1.01588e6i | −0.254466 | + | 0.207681i | ||||
\(475\) | −205082. | − | 1.05852e6i | −0.0417055 | − | 0.215262i | ||||
\(476\) | −1.97510e6 | − | 404040.i | −0.399550 | − | 0.0817347i | ||||
\(477\) | 4.73232e6 | − | 5.63975e6i | 0.952309 | − | 1.13492i | ||||
\(478\) | −3.82435e6 | − | 2.27802e6i | −0.765576 | − | 0.456025i | ||||
\(479\) | 6.58921e6 | − | 1.16186e6i | 1.31218 | − | 0.231373i | 0.526592 | − | 0.850118i | \(-0.323470\pi\) |
0.785592 | + | 0.618745i | \(0.212359\pi\) | |||||||
\(480\) | −214087. | − | 2.00435e6i | −0.0424119 | − | 0.397073i | ||||
\(481\) | −3.42556e6 | − | 1.24680e6i | −0.675100 | − | 0.245716i | ||||
\(482\) | −537052. | + | 1.41524e6i | −0.105293 | + | 0.277467i | ||||
\(483\) | 196878. | − | 341004.i | 0.0383999 | − | 0.0665106i | ||||
\(484\) | 5.83143e6 | + | 1.07676e7i | 1.13152 | + | 2.08932i | ||||
\(485\) | −3.24222e6 | − | 3.86392e6i | −0.625875 | − | 0.745889i | ||||
\(486\) | −838781. | − | 5.16774e6i | −0.161086 | − | 0.992452i | ||||
\(487\) | −303627. | − | 525897.i | −0.0580120 | − | 0.100480i | 0.835561 | − | 0.549398i | \(-0.185143\pi\) |
−0.893573 | + | 0.448918i | \(0.851809\pi\) | |||||||
\(488\) | −333703. | − | 2.48181e6i | −0.0634323 | − | 0.471757i | ||||
\(489\) | −761344. | − | 134245.i | −0.143982 | − | 0.0253879i | ||||
\(490\) | −3.33569e6 | − | 2.87733e6i | −0.627619 | − | 0.541376i | ||||
\(491\) | −3.54682e6 | − | 9.74481e6i | −0.663951 | − | 1.82419i | −0.558041 | − | 0.829813i | \(-0.688447\pi\) |
−0.105909 | − | 0.994376i | \(-0.533775\pi\) | |||||||
\(492\) | −241918. | − | 304802.i | −0.0450563 | − | 0.0567681i | ||||
\(493\) | 1.18366e7i | 2.19335i | ||||||||
\(494\) | 2.25442e6 | − | 404992.i | 0.415641 | − | 0.0746670i | ||||
\(495\) | 7.04280e6i | 1.29191i | ||||||||
\(496\) | −1.79119e6 | − | 3.53408e6i | −0.326916 | − | 0.645018i | ||||
\(497\) | −88303.9 | − | 242613.i | −0.0160357 | − | 0.0440578i | ||||
\(498\) | 2.17713e6 | − | 2.52396e6i | 0.393380 | − | 0.456046i | ||||
\(499\) | 7.74879e6 | + | 1.36632e6i | 1.39310 | + | 0.245641i | 0.819305 | − | 0.573358i | \(-0.194359\pi\) |
0.573795 | + | 0.818999i | \(0.305471\pi\) | |||||||
\(500\) | 3.15223e6 | − | 5.13163e6i | 0.563887 | − | 0.917974i | ||||
\(501\) | −514666. | − | 891427.i | −0.0916075 | − | 0.158669i | ||||
\(502\) | −1.32207e6 | + | 214587.i | −0.234150 | + | 0.0380052i | ||||
\(503\) | 5.67144e6 | + | 6.75896e6i | 0.999478 | + | 1.19113i | 0.981533 | + | 0.191293i | \(0.0612680\pi\) |
0.0179451 | + | 0.999839i | \(0.494288\pi\) | |||||||
\(504\) | 429360. | − | 1.04471e6i | 0.0752915 | − | 0.183197i | ||||
\(505\) | −1.92358e6 | + | 3.33173e6i | −0.335646 | + | 0.581356i | ||||
\(506\) | 6.75480e6 | + | 2.56330e6i | 1.17283 | + | 0.445064i | ||||
\(507\) | −2.01969e6 | − | 735106.i | −0.348951 | − | 0.127008i | ||||
\(508\) | 3.73680e6 | + | 1.47659e6i | 0.642452 | + | 0.253863i | ||||
\(509\) | 1.66831e6 | − | 294168.i | 0.285419 | − | 0.0503270i | −0.0291059 | − | 0.999576i | \(-0.509266\pi\) |
0.314525 | + | 0.949249i | \(0.398155\pi\) | |||||||
\(510\) | −1.96680e6 | + | 3.30187e6i | −0.334838 | + | 0.562127i | ||||
\(511\) | 287725. | − | 342897.i | 0.0487444 | − | 0.0580914i | ||||
\(512\) | −5.88710e6 | − | 725546.i | −0.992491 | − | 0.122318i | ||||
\(513\) | −4.83681e6 | + | 81456.8i | −0.811458 | + | 0.0136658i | ||||
\(514\) | −3.07140e6 | − | 3.76332e6i | −0.512778 | − | 0.628295i | ||||
\(515\) | −2.31952e6 | − | 1.94631e6i | −0.385372 | − | 0.323366i | ||||
\(516\) | −3.88198e6 | + | 575920.i | −0.641844 | + | 0.0952222i | ||||
\(517\) | −3.02858e6 | − | 1.71759e7i | −0.498325 | − | 2.82614i | ||||
\(518\) | 1.26236e6 | + | 2.25693e6i | 0.206708 | + | 0.369568i | ||||
\(519\) | 1.49259e6 | − | 4.10086e6i | 0.243233 | − | 0.668277i | ||||
\(520\) | 1.94386e6 | + | 1.23085e6i | 0.315251 | + | 0.199617i | ||||
\(521\) | 8.02796e6 | + | 4.63494e6i | 1.29572 | + | 0.748083i | 0.979662 | − | 0.200657i | \(-0.0643076\pi\) |
0.316057 | + | 0.948740i | \(0.397641\pi\) | |||||||
\(522\) | −6.51460e6 | − | 1.24045e6i | −1.04643 | − | 0.199252i | ||||
\(523\) | −3.50146e6 | + | 2.93808e6i | −0.559751 | + | 0.469687i | −0.878227 | − | 0.478244i | \(-0.841274\pi\) |
0.318476 | + | 0.947931i | \(0.396829\pi\) | |||||||
\(524\) | −5.49261e6 | + | 6.19490e6i | −0.873878 | + | 0.985612i | ||||
\(525\) | −134900. | + | 77884.6i | −0.0213606 | + | 0.0123326i | ||||
\(526\) | 1.41052e6 | + | 4.04606e6i | 0.222287 | + | 0.637629i | ||||
\(527\) | −1.31176e6 | + | 7.43939e6i | −0.205745 | + | 1.16684i | ||||
\(528\) | −5.18059e6 | − | 1.20772e6i | −0.808713 | − | 0.188530i | ||||
\(529\) | −3.22905e6 | + | 1.17528e6i | −0.501690 | + | 0.182600i | ||||
\(530\) | 144944. | − | 1.06374e7i | 0.0224135 | − | 1.64492i | ||||
\(531\) | 525039. | 0.0808082 | ||||||||
\(532\) | −1.39862e6 | − | 827028.i | −0.214251 | − | 0.126690i | ||||
\(533\) | 444162. | 0.0677211 | ||||||||
\(534\) | 59982.7 | − | 4.40213e6i | 0.00910276 | − | 0.668051i | ||||
\(535\) | 5.28000e6 | − | 1.92176e6i | 0.797534 | − | 0.290279i | ||||
\(536\) | 5.08746e6 | − | 3.92608e6i | 0.764872 | − | 0.590266i | ||||
\(537\) | 379543. | − | 2.15250e6i | 0.0567971 | − | 0.322112i | ||||
\(538\) | −2.66109e6 | − | 7.63331e6i | −0.396373 | − | 1.13699i | ||||
\(539\) | −1.00677e7 | + | 5.81260e6i | −1.49265 | + | 0.861785i | ||||
\(540\) | −3.63587e6 | − | 3.22369e6i | −0.536567 | − | 0.475739i | ||||
\(541\) | 3.28472e6 | − | 2.75620e6i | 0.482508 | − | 0.404873i | −0.368824 | − | 0.929499i | \(-0.620240\pi\) |
0.851332 | + | 0.524627i | \(0.175795\pi\) | |||||||
\(542\) | −5.99137e6 | − | 1.14082e6i | −0.876048 | − | 0.166809i | ||||
\(543\) | 2.75813e6 | + | 1.59241e6i | 0.401435 | + | 0.231769i | ||||
\(544\) | 8.14851e6 | + | 7.84238e6i | 1.18054 | + | 1.13619i | ||||
\(545\) | 1.73705e6 | − | 4.77250e6i | 0.250507 | − | 0.688264i | ||||
\(546\) | −161536. | − | 288805.i | −0.0231893 | − | 0.0414595i | ||||
\(547\) | 882962. | + | 5.00753e6i | 0.126175 | + | 0.715575i | 0.980603 | + | 0.196005i | \(0.0627968\pi\) |
−0.854428 | + | 0.519570i | \(0.826092\pi\) | |||||||
\(548\) | −349514. | − | 2.35589e6i | −0.0497179 | − | 0.335123i | ||||
\(549\) | −2.04914e6 | − | 1.71943e6i | −0.290161 | − | 0.243474i | ||||
\(550\) | −1.80716e6 | − | 2.21427e6i | −0.254735 | − | 0.312121i | ||||
\(551\) | −3.11145e6 | + | 9.01832e6i | −0.436600 | + | 1.26546i | ||||
\(552\) | −1.95649e6 | + | 1.02535e6i | −0.273294 | + | 0.143227i | ||||
\(553\) | −836200. | + | 996545.i | −0.116278 | + | 0.138575i | ||||
\(554\) | −3.41737e6 | + | 5.73709e6i | −0.473061 | + | 0.794177i | ||||
\(555\) | 4.85496e6 | − | 856060.i | 0.669041 | − | 0.117970i | ||||
\(556\) | 958725. | − | 2.42625e6i | 0.131525 | − | 0.332850i | ||||
\(557\) | 6.49411e6 | + | 2.36366e6i | 0.886915 | + | 0.322811i | 0.744997 | − | 0.667068i | \(-0.232451\pi\) |
0.141918 | + | 0.989878i | \(0.454673\pi\) | |||||||
\(558\) | −3.95701e6 | − | 1.50160e6i | −0.537999 | − | 0.204159i | ||||
\(559\) | 2.23970e6 | − | 3.87927e6i | 0.303152 | − | 0.525074i | ||||
\(560\) | −473848. | − | 1.56183e6i | −0.0638512 | − | 0.210458i | ||||
\(561\) | 6.51930e6 | + | 7.76940e6i | 0.874569 | + | 1.04227i | ||||
\(562\) | 6.26747e6 | − | 1.01728e6i | 0.837050 | − | 0.135863i | ||||
\(563\) | 2.44094e6 | + | 4.22783e6i | 0.324553 | + | 0.562143i | 0.981422 | − | 0.191862i | \(-0.0614527\pi\) |
−0.656868 | + | 0.754005i | \(0.728119\pi\) | |||||||
\(564\) | 4.54359e6 | + | 2.79101e6i | 0.601452 | + | 0.369456i | ||||
\(565\) | 93919.0 | + | 16560.4i | 0.0123775 | + | 0.00218248i | ||||
\(566\) | 4.20592e6 | − | 4.87594e6i | 0.551849 | − | 0.639760i | ||||
\(567\) | −279554. | − | 768067.i | −0.0365180 | − | 0.100333i | ||||
\(568\) | −309580. | + | 1.41488e6i | −0.0402626 | + | 0.184013i | ||||
\(569\) | − | 1.44474e6i | − | 0.187072i | −0.995616 | − | 0.0935358i | \(-0.970183\pi\) | ||
0.995616 | − | 0.0935358i | \(-0.0298169\pi\) | |||||||
\(570\) | −2.36646e6 | + | 1.99870e6i | −0.305079 | + | 0.257668i | ||||
\(571\) | − | 171117.i | − | 0.0219636i | −0.999940 | − | 0.0109818i | \(-0.996504\pi\) | ||
0.999940 | − | 0.0109818i | \(-0.00349569\pi\) | |||||||
\(572\) | 4.75579e6 | − | 3.77463e6i | 0.607761 | − | 0.482374i | ||||
\(573\) | −479368. | − | 1.31705e6i | −0.0609933 | − | 0.167578i | ||||
\(574\) | −238584. | − | 205800.i | −0.0302247 | − | 0.0260714i | ||||
\(575\) | −1.16878e6 | − | 206088.i | −0.147423 | − | 0.0259946i | ||||
\(576\) | −5.17023e6 | + | 3.66290e6i | −0.649312 | + | 0.460012i | ||||
\(577\) | 783652. | + | 1.35732e6i | 0.0979904 | + | 0.169724i | 0.910853 | − | 0.412732i | \(-0.135425\pi\) |
−0.812862 | + | 0.582456i | \(0.802092\pi\) | |||||||
\(578\) | −2.16780e6 | − | 1.33558e7i | −0.269898 | − | 1.66284i | ||||
\(579\) | 1.16880e6 | + | 1.39293e6i | 0.144892 | + | 0.172676i | ||||
\(580\) | −8.42638e6 | + | 4.56348e6i | −1.04009 | + | 0.563283i | ||||
\(581\) | 1.34943e6 | − | 2.33728e6i | 0.165848 | − | 0.287257i | ||||
\(582\) | 1.44388e6 | − | 3.80491e6i | 0.176695 | − | 0.465625i | ||||
\(583\) | −2.63813e7 | − | 9.60200e6i | −3.21458 | − | 1.17001i | ||||
\(584\) | −2.39275e6 | + | 761692.i | −0.290312 | + | 0.0924160i | ||||
\(585\) | 2.42038e6 | − | 426779.i | 0.292412 | − | 0.0515600i | ||||
\(586\) | −4.86730e6 | − | 2.89927e6i | −0.585524 | − | 0.348774i | ||||
\(587\) | −5.32526e6 | + | 6.34639e6i | −0.637889 | + | 0.760207i | −0.984035 | − | 0.177974i | \(-0.943046\pi\) |
0.346146 | + | 0.938181i | \(0.387490\pi\) | |||||||
\(588\) | 712333. | − | 3.48215e6i | 0.0849649 | − | 0.415340i | ||||
\(589\) | −2.95501e6 | + | 5.32327e6i | −0.350971 | + | 0.632252i | ||||
\(590\) | 587776. | − | 479709.i | 0.0695156 | − | 0.0567346i | ||||
\(591\) | 1.89904e6 | + | 1.59349e6i | 0.223649 | + | 0.187663i | ||||
\(592\) | 790230. | − | 1.44853e7i | 0.0926721 | − | 1.69872i | ||||
\(593\) | −1.00233e6 | − | 5.68452e6i | −0.117051 | − | 0.663831i | −0.985714 | − | 0.168427i | \(-0.946131\pi\) |
0.868663 | − | 0.495404i | \(-0.164980\pi\) | |||||||
\(594\) | −1.11916e7 | + | 6.25973e6i | −1.30144 | + | 0.727929i | ||||
\(595\) | −1.06431e6 | + | 2.92418e6i | −0.123247 | + | 0.338619i | ||||
\(596\) | 1.90349e6 | − | 634636.i | 0.219501 | − | 0.0731829i | ||||
\(597\) | −3.51139e6 | − | 2.02730e6i | −0.403221 | − | 0.232799i | ||||
\(598\) | 471596. | − | 2.47674e6i | 0.0539283 | − | 0.283222i | ||||
\(599\) | 1.09878e7 | − | 9.21984e6i | 1.25125 | − | 1.04992i | 0.254688 | − | 0.967023i | \(-0.418027\pi\) |
0.996558 | − | 0.0828966i | \(-0.0264171\pi\) | |||||||
\(600\) | 873103. | + | 35708.0i | 0.0990119 | + | 0.00404936i | ||||
\(601\) | 7.54051e6 | − | 4.35352e6i | 0.851559 | − | 0.491648i | −0.00961762 | − | 0.999954i | \(-0.503061\pi\) |
0.861177 | + | 0.508306i | \(0.169728\pi\) | |||||||
\(602\) | −3.00050e6 | + | 1.04602e6i | −0.337444 | + | 0.117638i | ||||
\(603\) | 1.19202e6 | − | 6.76028e6i | 0.133503 | − | 0.757132i | ||||
\(604\) | 125617. | + | 3423.90i | 0.0140106 | + | 0.000381882i | ||||
\(605\) | 1.77616e7 | − | 6.46469e6i | 1.97285 | − | 0.718057i | ||||
\(606\) | −3.10372e6 | − | 42290.8i | −0.343321 | − | 0.00467804i | ||||
\(607\) | 3.66108e6 | 0.403309 | 0.201654 | − | 0.979457i | \(-0.435368\pi\) | ||||
0.201654 | + | 0.979457i | \(0.435368\pi\) | |||||||
\(608\) | 4.14687e6 | + | 8.11712e6i | 0.454947 | + | 0.890518i | ||||
\(609\) | 1.37825e6 | 0.150586 | ||||||||
\(610\) | −3.86497e6 | − | 52663.4i | −0.420554 | − | 0.00573040i | ||||
\(611\) | −5.71929e6 | + | 2.08165e6i | −0.619782 | + | 0.225582i | ||||
\(612\) | 1.20763e7 | + | 329160.i | 1.30333 | + | 0.0355246i | ||||
\(613\) | −625432. | + | 3.54700e6i | −0.0672247 | + | 0.381250i | 0.932570 | + | 0.360989i | \(0.117561\pi\) |
−0.999795 | + | 0.0202611i | \(0.993550\pi\) | |||||||
\(614\) | 1.62968e7 | − | 5.68133e6i | 1.74454 | − | 0.608175i | ||||
\(615\) | −520189. | + | 300331.i | −0.0554592 | + | 0.0320194i | ||||
\(616\) | −4.30355e6 | − | 176005.i | −0.456956 | − | 0.0186885i | ||||
\(617\) | 1.08443e6 | − | 909946.i | 0.114680 | − | 0.0962283i | −0.583644 | − | 0.812010i | \(-0.698374\pi\) |
0.698325 | + | 0.715781i | \(0.253929\pi\) | |||||||
\(618\) | 456967. | − | 2.39991e6i | 0.0481297 | − | 0.252769i | ||||
\(619\) | −2.53916e6 | − | 1.46598e6i | −0.266356 | − | 0.153781i | 0.360874 | − | 0.932614i | \(-0.382478\pi\) |
−0.627231 | + | 0.778834i | \(0.715812\pi\) | |||||||
\(620\) | −5.80179e6 | + | 1.93435e6i | −0.606154 | + | 0.202095i | ||||
\(621\) | −1.82118e6 | + | 5.00366e6i | −0.189507 | + | 0.520665i | ||||
\(622\) | −2.63637e6 | + | 1.47458e6i | −0.273231 | + | 0.152825i | ||||
\(623\) | −619001. | − | 3.51053e6i | −0.0638957 | − | 0.362370i | ||||
\(624\) | −101121. | + | 1.85359e6i | −0.0103963 | + | 0.190569i | ||||
\(625\) | −5.48095e6 | − | 4.59906e6i | −0.561249 | − | 0.470944i | ||||
\(626\) | 758966. | − | 619425.i | 0.0774081 | − | 0.0631761i | ||||
\(627\) | 2.92475e6 | + | 7.63324e6i | 0.297112 | + | 0.775426i | ||||
\(628\) | 1.50349e6 | − | 7.34964e6i | 0.152126 | − | 0.743648i | ||||
\(629\) | −1.77788e7 | + | 2.11879e7i | −1.79174 | + | 2.13531i | ||||
\(630\) | −1.49787e6 | − | 892222.i | −0.150356 | − | 0.0895615i | ||||
\(631\) | −1.56111e7 | + | 2.75266e6i | −1.56085 | + | 0.275219i | −0.886335 | − | 0.463045i | \(-0.846757\pi\) |
−0.674512 | + | 0.738264i | \(0.735646\pi\) | |||||||
\(632\) | 6.95392e6 | − | 2.21367e6i | 0.692527 | − | 0.220455i | ||||
\(633\) | −1.42579e6 | − | 518946.i | −0.141432 | − | 0.0514770i | ||||
\(634\) | −3.71411e6 | + | 9.78743e6i | −0.366971 | + | 0.967042i | ||||
\(635\) | 3.10101e6 | − | 5.37110e6i | 0.305189 | − | 0.528602i | ||||
\(636\) | 7.54761e6 | − | 4.08757e6i | 0.739889 | − | 0.400702i | ||||
\(637\) | 2.60769e6 | + | 3.10772e6i | 0.254628 | + | 0.303454i | ||||
\(638\) | 4.05160e6 | + | 2.49619e7i | 0.394071 | + | 2.42787i | ||||
\(639\) | 773575. | + | 1.33987e6i | 0.0749463 | + | 0.129811i | ||||
\(640\) | −2.44136e6 | + | 8.82443e6i | −0.235603 | + | 0.851602i | ||||
\(641\) | −656667. | − | 115788.i | −0.0631248 | − | 0.0111306i | 0.141997 | − | 0.989867i | \(-0.454648\pi\) |
−0.205121 | + | 0.978737i | \(0.565759\pi\) | |||||||
\(642\) | 3.43282e6 | + | 2.96110e6i | 0.328710 | + | 0.283541i | ||||
\(643\) | −4.05729e6 | − | 1.11473e7i | −0.386998 | − | 1.06327i | −0.968346 | − | 0.249612i | \(-0.919697\pi\) |
0.581348 | − | 0.813655i | \(-0.302525\pi\) | |||||||
\(644\) | −1.40090e6 | + | 1.11188e6i | −0.133104 | + | 0.105644i | ||||
\(645\) | 6.05771e6i | 0.573336i | ||||||||
\(646\) | 2.96278e6 | − | 1.71245e7i | 0.279330 | − | 1.61449i | ||||
\(647\) | − | 6.71786e6i | − | 0.630914i | −0.948940 | − | 0.315457i | \(-0.897842\pi\) | ||
0.948940 | − | 0.315457i | \(-0.102158\pi\) | |||||||
\(648\) | −980072. | + | 4.47925e6i | −0.0916897 | + | 0.419052i | ||||
\(649\) | −684773. | − | 1.88140e6i | −0.0638168 | − | 0.175335i | ||||
\(650\) | −651462. | + | 755242.i | −0.0604792 | + | 0.0701137i | ||||
\(651\) | 866240. | + | 152741.i | 0.0801098 | + | 0.0141255i | ||||
\(652\) | 2.99209e6 | + | 1.83796e6i | 0.275649 | + | 0.169324i | ||||
\(653\) | 3.08893e6 | + | 5.35018e6i | 0.283482 | + | 0.491005i | 0.972240 | − | 0.233987i | \(-0.0751772\pi\) |
−0.688758 | + | 0.724991i | \(0.741844\pi\) | |||||||
\(654\) | 4.04480e6 | − | 656516.i | 0.369788 | − | 0.0600206i | ||||
\(655\) | 8.21456e6 | + | 9.78973e6i | 0.748137 | + | 0.891595i | ||||
\(656\) | 513159. | + | 1.69141e6i | 0.0465578 | + | 0.153458i | ||||
\(657\) | −1.34117e6 | + | 2.32298e6i | −0.121219 | + | 0.209957i | ||||
\(658\) | 4.03666e6 | + | 1.53183e6i | 0.363461 | + | 0.137925i | ||||
\(659\) | 2.04543e7 | + | 7.44474e6i | 1.83472 | + | 0.667784i | 0.991482 | + | 0.130247i | \(0.0415769\pi\) |
0.843240 | + | 0.537537i | \(0.180645\pi\) | |||||||
\(660\) | −3.01753e6 | + | 7.63647e6i | −0.269645 | + | 0.682390i | ||||
\(661\) | 6.29417e6 | − | 1.10983e6i | 0.560318 | − | 0.0987993i | 0.113686 | − | 0.993517i | \(-0.463734\pi\) |
0.446633 | + | 0.894717i | \(0.352623\pi\) | |||||||
\(662\) | −6.02142e6 | + | 1.01088e7i | −0.534016 | + | 0.896508i | ||||
\(663\) | 2.27504e6 | − | 2.71128e6i | 0.201004 | − | 0.239547i | ||||
\(664\) | −1.34101e7 | + | 7.02791e6i | −1.18035 | + | 0.618595i | ||||
\(665\) | −1.57957e6 | + | 1.94817e6i | −0.138512 | + | 0.170833i | ||||
\(666\) | −9.79820e6 | − | 1.20055e7i | −0.855974 | − | 1.04880i | ||||
\(667\) | 8.04419e6 | + | 6.74988e6i | 0.700112 | + | 0.587464i | ||||
\(668\) | 686122. | + | 4.62479e6i | 0.0594922 | + | 0.401006i | ||||
\(669\) | 884173. | + | 5.01440e6i | 0.0763787 | + | 0.433165i | ||||
\(670\) | −4.84217e6 | − | 8.65718e6i | −0.416728 | − | 0.745057i | ||||
\(671\) | −3.48877e6 | + | 9.58531e6i | −0.299134 | + | 0.821864i | ||||
\(672\) | 913165. | − | 948810.i | 0.0780056 | − | 0.0810506i | ||||
\(673\) | −4.68733e6 | − | 2.70623e6i | −0.398922 | − | 0.230317i | 0.287097 | − | 0.957902i | \(-0.407310\pi\) |
−0.686019 | + | 0.727584i | \(0.740643\pi\) | |||||||
\(674\) | 6.72352e6 | + | 1.28023e6i | 0.570095 | + | 0.108552i | ||||
\(675\) | 1.61365e6 | − | 1.35401e6i | 0.136317 | − | 0.114383i | ||||
\(676\) | 7.30479e6 | + | 6.47668e6i | 0.614810 | + | 0.545112i | ||||
\(677\) | 1.05748e7 | − | 6.10534e6i | 0.886746 | − | 0.511963i | 0.0138690 | − | 0.999904i | \(-0.495585\pi\) |
0.872877 | + | 0.487941i | \(0.162252\pi\) | |||||||
\(678\) | 25329.4 | + | 72657.2i | 0.00211617 | + | 0.00607022i | ||||
\(679\) | 572197. | − | 3.24509e6i | 0.0476290 | − | 0.270118i | ||||
\(680\) | 1.38200e7 | − | 1.06652e7i | 1.14614 | − | 0.884496i | ||||
\(681\) | 2.67442e6 | − | 973409.i | 0.220984 | − | 0.0804317i | ||||
\(682\) | −219891. | + | 1.61378e7i | −0.0181028 | + | 1.32857i | ||||
\(683\) | 2.36077e7 | 1.93643 | 0.968214 | − | 0.250121i | \(-0.0804705\pi\) | ||||
0.968214 | + | 0.250121i | \(0.0804705\pi\) | |||||||
\(684\) | 9.11444e6 | + | 3.42525e6i | 0.744886 | + | 0.279932i | ||||
\(685\) | −3.67629e6 | −0.299353 | ||||||||
\(686\) | 81008.5 | − | 5.94521e6i | 0.00657235 | − | 0.482344i | ||||
\(687\) | 3.01608e6 | − | 1.09776e6i | 0.243810 | − | 0.0887396i | ||||
\(688\) | 1.73602e7 | + | 4.04707e6i | 1.39824 | + | 0.325964i | ||||
\(689\) | −1.70125e6 | + | 9.64825e6i | −0.136527 | + | 0.774284i | ||||
\(690\) | 1.12239e6 | + | 3.21956e6i | 0.0897470 | + | 0.257438i | ||||
\(691\) | 1.08708e7 | − | 6.27624e6i | 0.866094 | − | 0.500039i | 4.54474e−5 | − | 1.00000i | \(-0.499986\pi\) |
0.866048 | + | 0.499961i | \(0.166652\pi\) | |||||||
\(692\) | −1.31505e7 | + | 1.48320e7i | −1.04395 | + | 1.17742i | ||||
\(693\) | −3.52453e6 | + | 2.95743e6i | −0.278784 | + | 0.233927i | ||||
\(694\) | −7.92392e6 | − | 1.50880e6i | −0.624513 | − | 0.118914i | ||||
\(695\) | −3.48737e6 | − | 2.01344e6i | −0.273865 | − | 0.158116i | ||||
\(696\) | −6.53226e6 | − | 4.13622e6i | −0.511141 | − | 0.323654i | ||||
\(697\) | 1.15261e6 | − | 3.16677e6i | 0.0898671 | − | 0.246908i | ||||
\(698\) | −93696.3 | − | 167517.i | −0.00727921 | − | 0.0130143i | ||||
\(699\) | 825116. | + | 4.67946e6i | 0.0638737 | + | 0.362246i | ||||
\(700\) | 699872. | − | 103831.i | 0.0539851 | − | 0.00800908i | ||||
\(701\) | −1.71653e7 | − | 1.44034e7i | −1.31934 | − | 1.10706i | −0.986445 | − | 0.164092i | \(-0.947531\pi\) |
−0.332894 | − | 0.942964i | \(-0.608025\pi\) | |||||||
\(702\) | 2.82945e6 | + | 3.46686e6i | 0.216700 | + | 0.265518i | ||||
\(703\) | −1.91153e7 | + | 1.14697e7i | −1.45879 | + | 0.875312i | ||||
\(704\) | 1.98686e7 | + | 1.37495e7i | 1.51090 | + | 1.04557i | ||||
\(705\) | 5.29069e6 | − | 6.30520e6i | 0.400903 | − | 0.477778i | ||||
\(706\) | −2.71769e6 | + | 4.56247e6i | −0.205205 | + | 0.344499i | ||||
\(707\) | −2.47510e6 | + | 436427.i | −0.186228 | + | 0.0328369i | ||||
\(708\) | 569297. | + | 224956.i | 0.0426831 | + | 0.0168661i | ||||
\(709\) | −1.71558e7 | − | 6.24421e6i | −1.28173 | − | 0.466511i | −0.390725 | − | 0.920507i | \(-0.627776\pi\) |
−0.891004 | + | 0.453996i | \(0.849998\pi\) | |||||||
\(710\) | 2.09020e6 | + | 793186.i | 0.155612 | + | 0.0590512i | ||||
\(711\) | 3.89778e6 | − | 6.75115e6i | 0.289163 | − | 0.500845i | ||||
\(712\) | −7.60159e6 | + | 1.84960e7i | −0.561959 | + | 1.36734i | ||||
\(713\) | 4.30780e6 | + | 5.13384e6i | 0.317345 | + | 0.378197i | ||||
\(714\) | −2.47830e6 | + | 402256.i | −0.181932 | + | 0.0295296i | ||||
\(715\) | −4.68604e6 | − | 8.11647e6i | −0.342800 | − | 0.593748i | ||||
\(716\) | −5.19635e6 | + | 8.45935e6i | −0.378805 | + | 0.616672i | ||||
\(717\) | −5.45958e6 | − | 962672.i | −0.396608 | − | 0.0699327i | ||||
\(718\) | 1.00932e7 | − | 1.17011e7i | 0.730664 | − | 0.847061i | ||||
\(719\) | −5.52536e6 | − | 1.51808e7i | −0.398601 | − | 1.09515i | −0.962966 | − | 0.269622i | \(-0.913101\pi\) |
0.564366 | − | 0.825525i | \(-0.309121\pi\) | |||||||
\(720\) | 4.42158e6 | + | 8.72394e6i | 0.317867 | + | 0.627164i | ||||
\(721\) | − | 1.97809e6i | − | 0.141712i | ||||||
\(722\) | 6.75881e6 | − | 1.22684e7i | 0.482534 | − | 0.875878i | ||||
\(723\) | 1.88518e6i | 0.134124i | ||||||||
\(724\) | −8.99319e6 | − | 1.13308e7i | −0.637628 | − | 0.803371i | ||||
\(725\) | −1.42080e6 | − | 3.90362e6i | −0.100390 | − | 0.275818i | ||||
\(726\) | 1.15478e7 | + | 9.96097e6i | 0.813124 | + | 0.701391i | ||||
\(727\) | −3.84799e6 | − | 678504.i | −0.270021 | − | 0.0476120i | 0.0369982 | − | 0.999315i | \(-0.488220\pi\) |
−0.307019 | + | 0.951703i | \(0.599332\pi\) | |||||||
\(728\) | 200298. | + | 1.48966e6i | 0.0140071 | + | 0.104174i | ||||
\(729\) | −182477. | − | 316059.i | −0.0127171 | − | 0.0220267i | ||||
\(730\) | 620991. | + | 3.82593e6i | 0.0431299 | + | 0.265723i | ||||
\(731\) | −2.18462e7 | − | 2.60353e7i | −1.51211 | − | 1.80206i | ||||
\(732\) | −1.48517e6 | − | 2.74233e6i | −0.102447 | − | 0.189166i | ||||
\(733\) | −3.86180e6 | + | 6.68883e6i | −0.265479 | + | 0.459823i | −0.967689 | − | 0.252147i | \(-0.918863\pi\) |
0.702210 | + | 0.711970i | \(0.252197\pi\) | |||||||
\(734\) | −4.03846e6 | + | 1.06421e7i | −0.276679 | + | 0.729103i | ||||
\(735\) | −5.15540e6 | − | 1.87641e6i | −0.352001 | − | 0.128118i | ||||
\(736\) | 9.97646e6 | − | 1.06560e6i | 0.678863 | − | 0.0725102i | ||||
\(737\) | −2.57791e7 | + | 4.54556e6i | −1.74823 | + | 0.308261i | ||||
\(738\) | 1.62213e6 | + | 966243.i | 0.109634 | + | 0.0653048i | ||||
\(739\) | 9.97978e6 | − | 1.18934e7i | 0.672217 | − | 0.801117i | −0.316867 | − | 0.948470i | \(-0.602631\pi\) |
0.989084 | + | 0.147353i | \(0.0470752\pi\) | |||||||
\(740\) | −2.19380e7 | − | 4.48779e6i | −1.47271 | − | 0.301268i | ||||
\(741\) | 2.44607e6 | − | 1.46770e6i | 0.163652 | − | 0.0981956i | ||||
\(742\) | 5.38428e6 | − | 4.39434e6i | 0.359020 | − | 0.293011i | ||||
\(743\) | 695068. | + | 583231.i | 0.0461908 | + | 0.0387586i | 0.665591 | − | 0.746317i | \(-0.268180\pi\) |
−0.619400 | + | 0.785076i | \(0.712624\pi\) | |||||||
\(744\) | −3.64719e6 | − | 3.32358e6i | −0.241561 | − | 0.220127i | ||||
\(745\) | −537820. | − | 3.05013e6i | −0.0355015 | − | 0.201339i | ||||
\(746\) | 1.58694e7 | − | 8.87614e6i | 1.04403 | − | 0.583952i | ||||
\(747\) | −5.53142e6 | + | 1.51974e7i | −0.362689 | + | 0.996481i | ||||
\(748\) | −1.45708e7 | − | 4.37029e7i | −0.952203 | − | 2.85599i | ||||
\(749\) | 3.17892e6 | + | 1.83535e6i | 0.207050 | + | 0.119540i | ||||
\(750\) | 1.40295e6 | − | 7.36803e6i | 0.0910728 | − | 0.478298i | ||||
\(751\) | 5.35179e6 | − | 4.49069e6i | 0.346258 | − | 0.290545i | −0.453028 | − | 0.891497i | \(-0.649656\pi\) |
0.799285 | + | 0.600952i | \(0.205212\pi\) | |||||||
\(752\) | −1.45348e7 | − | 1.93745e7i | −0.937271 | − | 1.24935i | ||||
\(753\) | −1.44458e6 | + | 834029.i | −0.0928441 | + | 0.0536036i | ||||
\(754\) | 8.33309e6 | − | 2.90504e6i | 0.533799 | − | 0.186090i | ||||
\(755\) | 33682.6 | − | 191024.i | 0.00215050 | − | 0.0121961i | ||||
\(756\) | 86492.4 | − | 3.17325e6i | 0.00550394 | − | 0.201929i | ||||
\(757\) | 1.89585e7 | − | 6.90032e6i | 1.20244 | − | 0.437653i | 0.338365 | − | 0.941015i | \(-0.390126\pi\) |
0.864076 | + | 0.503362i | \(0.167904\pi\) | |||||||
\(758\) | −1.50529e7 | − | 205109.i | −0.951587 | − | 0.0129662i | ||||
\(759\) | 8.99779e6 | 0.566933 | ||||||||
\(760\) | 1.33331e7 | − | 4.49299e6i | 0.837328 | − | 0.282164i | ||||
\(761\) | −2.09585e7 | −1.31189 | −0.655947 | − | 0.754807i | \(-0.727731\pi\) | ||||
−0.655947 | + | 0.754807i | \(0.727731\pi\) | |||||||
\(762\) | 5.00352e6 | + | 68177.2i | 0.312168 | + | 0.00425355i | ||||
\(763\) | 3.11779e6 | − | 1.13478e6i | 0.193881 | − | 0.0705670i | ||||
\(764\) | −173458. | + | 6.36386e6i | −0.0107513 | + | 0.394446i | ||||
\(765\) | 3.23811e6 | − | 1.83643e7i | 0.200050 | − | 1.13454i | ||||
\(766\) | −1.13346e7 | + | 3.95142e6i | −0.697967 | + | 0.243322i | ||||
\(767\) | −605080. | + | 349343.i | −0.0371385 | + | 0.0214419i | ||||
\(768\) | −7.17544e6 | + | 1.75645e6i | −0.438981 | + | 0.107457i | ||||
\(769\) | −5.15701e6 | + | 4.32725e6i | −0.314472 | + | 0.263874i | −0.786338 | − | 0.617797i | \(-0.788025\pi\) |
0.471865 | + | 0.881671i | \(0.343581\pi\) | |||||||
\(770\) | −1.24358e6 | + | 6.53105e6i | −0.0755869 | + | 0.396968i | ||||
\(771\) | −5.23915e6 | − | 3.02482e6i | −0.317413 | − | 0.183259i | ||||
\(772\) | −2.61230e6 | − | 7.83521e6i | −0.157754 | − | 0.473159i | ||||
\(773\) | 7.94483e6 | − | 2.18283e7i | 0.478229 | − | 1.31392i | −0.432766 | − | 0.901506i | \(-0.642462\pi\) |
0.910995 | − | 0.412417i | \(-0.135315\pi\) | |||||||
\(774\) | 1.66187e7 | − | 9.29524e6i | 0.997113 | − | 0.557710i | ||||
\(775\) | −460375. | − | 2.61092e6i | −0.0275332 | − | 0.156149i | ||||
\(776\) | −1.24507e7 | + | 1.36631e7i | −0.742233 | + | 0.814505i | ||||
\(777\) | 2.46711e6 | + | 2.07015e6i | 0.146601 | + | 0.123013i | ||||
\(778\) | −2.81933e6 | + | 2.30097e6i | −0.166992 | + | 0.136290i | ||||
\(779\) | 1.71062e6 | − | 2.10979e6i | 0.100997 | − | 0.124565i | ||||
\(780\) | 2.80726e6 | + | 574273.i | 0.165214 | + | 0.0337973i | ||||
\(781\) | 3.79231e6 | − | 4.51950e6i | 0.222472 | − | 0.265132i | ||||
\(782\) | −1.64347e7 | − | 9.78954e6i | −0.961049 | − | 0.572461i | ||||
\(783\) | −1.83549e7 | + | 3.23646e6i | −1.06991 | + | 0.188654i | ||||
\(784\) | −8.82168e6 | + | 1.35208e7i | −0.512579 | + | 0.785617i | ||||
\(785\) | −1.08813e7 | − | 3.96047e6i | −0.630242 | − | 0.229389i | ||||
\(786\) | −3.65825e6 | + | 9.64020e6i | −0.211211 | + | 0.556583i | ||||
\(787\) | 6.03222e6 | − | 1.04481e7i | 0.347169 | − | 0.601314i | −0.638577 | − | 0.769558i | \(-0.720476\pi\) |
0.985745 | + | 0.168244i | \(0.0538098\pi\) | |||||||
\(788\) | −5.36231e6 | − | 9.90139e6i | −0.307635 | − | 0.568042i | ||||
\(789\) | 3.43017e6 | + | 4.08792e6i | 0.196166 | + | 0.233781i | ||||
\(790\) | −1.80476e6 | − | 1.11191e7i | −0.102885 | − | 0.633873i | ||||
\(791\) | 31151.1 | + | 53955.2i | 0.00177024 | + | 0.00306614i | ||||
\(792\) | 2.55801e7 | − | 3.43949e6i | 1.44907 | − | 0.194841i | ||||
\(793\) | 3.50557e6 | + | 618127.i | 0.197959 | + | 0.0349056i | ||||
\(794\) | 1.55989e7 | + | 1.34554e7i | 0.878099 | + | 0.757437i | ||||
\(795\) | −4.53145e6 | − | 1.24501e7i | −0.254284 | − | 0.698641i | ||||
\(796\) | 1.14493e7 | + | 1.44253e7i | 0.640464 | + | 0.806944i | ||||
\(797\) | − | 6.72965e6i | − | 0.375272i | −0.982239 | − | 0.187636i | \(-0.939917\pi\) | ||
0.982239 | − | 0.187636i | \(-0.0600826\pi\) | |||||||
\(798\) | −1.99397e6 | − | 344985.i | −0.110844 | − | 0.0191775i | ||||
\(799\) | 4.61791e7i | 2.55905i | ||||||||
\(800\) | −3.62868e6 | − | 1.60826e6i | −0.200458 | − | 0.0888446i | ||||
\(801\) | 7.30596e6 | + | 2.00729e7i | 0.402342 | + | 1.10543i | ||||
\(802\) | −3.87169e6 | + | 4.48846e6i | −0.212552 | + | 0.246412i | ||||
\(803\) | 1.00732e7 | + | 1.77618e6i | 0.551290 | + | 0.0972073i | ||||
\(804\) | 4.18898e6 | − | 6.81941e6i | 0.228543 | − | 0.372054i | ||||
\(805\) | 1.38035e6 | + | 2.39084e6i | 0.0750759 | + | 0.130035i | ||||
\(806\) | 5.55936e6 | − | 902346.i | 0.301430 | − | 0.0489255i | ||||
\(807\) | −6.47137e6 | − | 7.71228e6i | −0.349794 | − | 0.416868i | ||||
\(808\) | 1.30406e7 | + | 5.35950e6i | 0.702698 | + | 0.288799i | ||||
\(809\) | 8.85660e6 | − | 1.53401e7i | 0.475768 | − | 0.824055i | −0.523846 | − | 0.851813i | \(-0.675503\pi\) |
0.999615 | + | 0.0277577i | \(0.00883669\pi\) | |||||||
\(810\) | 6.61719e6 | + | 2.51108e6i | 0.354373 | + | 0.134477i | ||||
\(811\) | −6.06198e6 | − | 2.20638e6i | −0.323640 | − | 0.117795i | 0.175091 | − | 0.984552i | \(-0.443978\pi\) |
−0.498731 | + | 0.866757i | \(0.666200\pi\) | |||||||
\(812\) | −5.82219e6 | − | 2.30062e6i | −0.309882 | − | 0.122449i | ||||
\(813\) | −7.48034e6 | + | 1.31899e6i | −0.396913 | + | 0.0699864i | ||||
\(814\) | −3.02408e7 | + | 5.07684e7i | −1.59968 | + | 2.68554i | ||||
\(815\) | 3.48409e6 | − | 4.15217e6i | 0.183736 | − | 0.218968i | ||||
\(816\) | 1.29532e7 | + | 5.53106e6i | 0.681008 | + | 0.290793i | ||||
\(817\) | −9.80086e6 | − | 2.55790e7i | −0.513699 | − | 1.34069i | ||||
\(818\) | 4.29597e6 | + | 5.26375e6i | 0.224480 | + | 0.275050i | ||||
\(819\) | 1.22995e6 | + | 1.03205e6i | 0.0640735 | + | 0.0537640i | ||||
\(820\) | 2.69878e6 | − | 400384.i | 0.140163 | − | 0.0207942i | ||||
\(821\) | −1.02354e6 | − | 5.80480e6i | −0.0529966 | − | 0.300559i | 0.946776 | − | 0.321894i | \(-0.104319\pi\) |
−0.999772 | + | 0.0213351i | \(0.993208\pi\) | |||||||
\(822\) | −1.44794e6 | − | 2.58873e6i | −0.0747431 | − | 0.133631i | ||||
\(823\) | −5.25726e6 | + | 1.44442e7i | −0.270558 | + | 0.743351i | 0.727785 | + | 0.685805i | \(0.240550\pi\) |
−0.998343 | + | 0.0575459i | \(0.981672\pi\) | |||||||
\(824\) | −5.93640e6 | + | 9.37525e6i | −0.304583 | + | 0.481022i | ||||
\(825\) | −3.08262e6 | − | 1.77975e6i | −0.157683 | − | 0.0910384i | ||||
\(826\) | 486888. | + | 92708.5i | 0.0248301 | + | 0.00472791i | ||||
\(827\) | 3.25626e6 | − | 2.73233e6i | 0.165560 | − | 0.138921i | −0.556244 | − | 0.831019i | \(-0.687758\pi\) |
0.721804 | + | 0.692098i | \(0.243313\pi\) | |||||||
\(828\) | 7.11028e6 | − | 8.01940e6i | 0.360421 | − | 0.406505i | ||||
\(829\) | −6.81754e6 | + | 3.93611e6i | −0.344541 | + | 0.198921i | −0.662278 | − | 0.749258i | \(-0.730410\pi\) |
0.317737 | + | 0.948179i | \(0.397077\pi\) | |||||||
\(830\) | 7.69299e6 | + | 2.20673e7i | 0.387614 | + | 1.11187i | ||||
\(831\) | −1.44415e6 | + | 8.19017e6i | −0.0725453 | + | 0.411425i | ||||
\(832\) | 3.52125e6 | − | 7.66140e6i | 0.176355 | − | 0.383707i | ||||
\(833\) | 2.89243e7 | − | 1.05276e7i | 1.44428 | − | 0.525674i | ||||
\(834\) | 44266.4 | − | 3.24871e6i | 0.00220373 | − | 0.161732i | ||||
\(835\) | 7.21684e6 | 0.358204 | ||||||||
\(836\) | 386534. | − | 3.71276e7i | 0.0191281 | − | 1.83730i | ||||
\(837\) | −1.18949e7 | −0.586876 | ||||||||
\(838\) | −249983. | + | 1.83462e7i | −0.0122970 | + | 0.902478i | ||||
\(839\) | 2.23235e7 | − | 8.12509e6i | 1.09486 | − | 0.398496i | 0.269439 | − | 0.963017i | \(-0.413162\pi\) |
0.825418 | + | 0.564522i | \(0.190939\pi\) | |||||||
\(840\) | −1.24185e6 | − | 1.60920e6i | −0.0607255 | − | 0.0786886i | ||||
\(841\) | −2.82087e6 | + | 1.59980e7i | −0.137529 | + | 0.779964i | ||||
\(842\) | −9.05797e6 | − | 2.59827e7i | −0.440302 | − | 1.26300i | ||||
\(843\) | 6.84825e6 | − | 3.95384e6i | 0.331903 | − | 0.191624i | ||||
\(844\) | 5.15680e6 | + | 4.57220e6i | 0.249186 | + | 0.220937i | ||||
\(845\) | 1.15437e7 | − | 9.68629e6i | 0.556163 | − | 0.466676i | ||||
\(846\) | −2.54160e7 | − | 4.83946e6i | −1.22090 | − | 0.232472i | ||||
\(847\) | 1.06937e7 | + | 6.17401e6i | 0.512176 | + | 0.295705i | ||||
\(848\) | −3.87068e7 | + | 4.66854e6i | −1.84841 | + | 0.222942i | ||||
\(849\) | 2.74284e6 | − | 7.53589e6i | 0.130596 | − | 0.358810i | ||||
\(850\) | 3.69413e6 | + | 6.60464e6i | 0.175374 | + | 0.313546i | ||||
\(851\) | 4.26096e6 | + | 2.41651e7i | 0.201689 | + | 1.14384i | ||||
\(852\) | 264707. | + | 1.78426e6i | 0.0124930 | + | 0.0842090i | ||||
\(853\) | 3.10928e7 | + | 2.60899e7i | 1.46314 | + | 1.22772i | 0.922229 | + | 0.386645i | \(0.126366\pi\) |
0.540914 | + | 0.841078i | \(0.318078\pi\) | |||||||
\(854\) | −1.59663e6 | − | 1.95631e6i | −0.0749134 | − | 0.0917897i | ||||
\(855\) | 7.29450e6 | − | 1.31406e7i | 0.341256 | − | 0.614751i | ||||
\(856\) | −9.55861e6 | − | 1.82389e7i | −0.445872 | − | 0.850775i | ||||
\(857\) | −2.14112e7 | + | 2.55169e7i | −0.995840 | + | 1.18680i | −0.0134589 | + | 0.999909i | \(0.504284\pi\) |
−0.982381 | + | 0.186887i | \(0.940160\pi\) | |||||||
\(858\) | 3.86972e6 | − | 6.49650e6i | 0.179457 | − | 0.301274i | ||||
\(859\) | −1.39366e7 | + | 2.45740e6i | −0.644427 | + | 0.113630i | −0.486304 | − | 0.873790i | \(-0.661655\pi\) |
−0.158123 | + | 0.987419i | \(0.550544\pi\) | |||||||
\(860\) | 1.01118e7 | − | 2.55898e7i | 0.466209 | − | 1.17984i | ||||
\(861\) | −368738. | − | 134210.i | −0.0169516 | − | 0.00616987i | ||||
\(862\) | 9.94655e6 | + | 3.77450e6i | 0.455936 | + | 0.173018i | ||||
\(863\) | −1.33232e7 | + | 2.30765e7i | −0.608951 | + | 1.05473i | 0.382463 | + | 0.923971i | \(0.375076\pi\) |
−0.991414 | + | 0.130763i | \(0.958257\pi\) | |||||||
\(864\) | −9.93310e6 | + | 1.47802e7i | −0.452689 | + | 0.673590i | ||||
\(865\) | 1.96675e7 | + | 2.34388e7i | 0.893734 | + | 1.06511i | ||||
\(866\) | 6.19614e6 | − | 1.00570e6i | 0.280754 | − | 0.0455696i | ||||
\(867\) | −8.42554e6 | − | 1.45935e7i | −0.380671 | − | 0.659342i | ||||
\(868\) | −3.40433e6 | − | 2.09119e6i | −0.153367 | − | 0.0942095i | ||||
\(869\) | −2.92754e7 | − | 5.16203e6i | −1.31508 | − | 0.231884i | ||||
\(870\) | −7.79513e6 | + | 9.03692e6i | −0.349161 | + | 0.404783i | ||||
\(871\) | 3.12432e6 | + | 8.58401e6i | 0.139544 | + | 0.383393i | ||||
\(872\) | −1.81825e7 | − | 3.97838e6i | −0.809771 | − | 0.177180i | ||||
\(873\) | 1.97460e7i | 0.876888i | ||||||||
\(874\) | −9.94832e6 | − | 1.17788e7i | −0.440525 | − | 0.521584i | ||||
\(875\) | − | 6.07300e6i | − | 0.268153i | ||||||
\(876\) | −2.44952e6 | + | 1.94416e6i | −0.107850 | + | 0.0855995i | ||||
\(877\) | 2.28195e6 | + | 6.26961e6i | 0.100186 | + | 0.275259i | 0.979652 | − | 0.200702i | \(-0.0643224\pi\) |
−0.879466 | + | 0.475961i | \(0.842100\pi\) | |||||||
\(878\) | 2.52616e7 | + | 2.17903e7i | 1.10592 | + | 0.953954i | ||||
\(879\) | −6.94848e6 | − | 1.22520e6i | −0.303332 | − | 0.0534855i | ||||
\(880\) | 2.54942e7 | − | 2.72221e7i | 1.10977 | − | 1.18499i | ||||
\(881\) | −521029. | − | 902449.i | −0.0226163 | − | 0.0391726i | 0.854496 | − | 0.519458i | \(-0.173866\pi\) |
−0.877112 | + | 0.480286i | \(0.840533\pi\) | |||||||
\(882\) | 2.76295e6 | + | 1.70226e7i | 0.119592 | + | 0.736807i | ||||
\(883\) | 8.23079e6 | + | 9.80907e6i | 0.355254 | + | 0.423376i | 0.913842 | − | 0.406070i | \(-0.133101\pi\) |
−0.558588 | + | 0.829446i | \(0.688657\pi\) | |||||||
\(884\) | −1.41363e7 | + | 7.65582e6i | −0.608423 | + | 0.329504i | ||||
\(885\) | 472434. | − | 818280.i | 0.0202760 | − | 0.0351191i | ||||
\(886\) | 1.49501e7 | − | 3.93964e7i | 0.639822 | − | 1.68606i | ||||
\(887\) | −1.67438e7 | − | 6.09424e6i | −0.714570 | − | 0.260082i | −0.0409509 | − | 0.999161i | \(-0.513039\pi\) |
−0.673619 | + | 0.739079i | \(0.735261\pi\) | |||||||
\(888\) | −5.48031e6 | − | 1.72156e7i | −0.233224 | − | 0.732638i | ||||
\(889\) | 3.99012e6 | − | 703565.i | 0.169329 | − | 0.0298573i | ||||
\(890\) | 2.65189e7 | + | 1.57963e7i | 1.12223 | + | 0.668467i | ||||
\(891\) | 1.20057e7 | − | 1.43079e7i | 0.506634 | − | 0.603783i | ||||
\(892\) | 4.63517e6 | − | 2.26584e7i | 0.195053 | − | 0.953494i | ||||
\(893\) | −1.21390e7 | + | 3.51840e7i | −0.509394 | + | 1.47644i | ||||
\(894\) | 1.93598e6 | − | 1.58004e6i | 0.0810135 | − | 0.0661185i | ||||
\(895\) | 1.17392e7 | + | 9.85033e6i | 0.489869 | + | 0.411049i | ||||
\(896\) | −5.44131e6 | + | 2.48381e6i | −0.226430 | + | 0.103359i | ||||
\(897\) | −545247. | − | 3.09225e6i | −0.0226262 | − | 0.128320i | ||||
\(898\) | −2.07818e7 | + | 1.16238e7i | −0.859989 | + | 0.481013i | ||||
\(899\) | −8.02303e6 | + | 2.20431e7i | −0.331085 | + | 0.909648i | ||||
\(900\) | −4.02219e6 | + | 1.34102e6i | −0.165522 | + | 0.0551861i | ||||
\(901\) | 6.43749e7 | + | 3.71669e7i | 2.64183 | + | 1.52526i | ||||
\(902\) | 1.34675e6 | − | 7.07288e6i | 0.0551150 | − | 0.289454i | ||||
\(903\) | −3.03154e6 | + | 2.54376e6i | −0.123721 | + | 0.103814i | ||||
\(904\) | 14281.9 | − | 349210.i | 0.000581253 | − | 0.0142123i | ||||
\(905\) | −1.93378e7 | + | 1.11647e7i | −0.784847 | + | 0.453132i | ||||
\(906\) | 147779. | − | 51518.1i | 0.00598126 | − | 0.00208516i | ||||
\(907\) | 339174. | − | 1.92355e6i | 0.0136900 | − | 0.0776400i | −0.977197 | − | 0.212333i | \(-0.931894\pi\) |
0.990887 | + | 0.134693i | \(0.0430049\pi\) | |||||||
\(908\) | −1.29225e7 | − | 352226.i | −0.520155 | − | 0.0141777i | ||||
\(909\) | 1.41524e7 | − | 5.15106e6i | 0.568095 | − | 0.206770i | ||||
\(910\) | 2.31987e6 | + | 31610.2i | 0.0928666 | + | 0.00126539i | ||||
\(911\) | −5.51423e6 | −0.220135 | −0.110068 | − | 0.993924i | \(-0.535107\pi\) | ||||
−0.110068 | + | 0.993924i | \(0.535107\pi\) | |||||||
\(912\) | 8.41516e6 | + | 7.61912e6i | 0.335024 | + | 0.303332i | ||||
\(913\) | 6.16721e7 | 2.44856 | ||||||||
\(914\) | 2.18973e7 | + | 298370.i | 0.867014 | + | 0.0118138i | ||||
\(915\) | −4.52358e6 | + | 1.64645e6i | −0.178620 | + | 0.0650123i | ||||
\(916\) | −1.45734e7 | − | 397224.i | −0.573882 | − | 0.0156421i | ||||
\(917\) | −1.44973e6 | + | 8.22185e6i | −0.0569331 | + | 0.322884i | ||||
\(918\) | 3.20604e7 | − | 1.11767e7i | 1.25563 | − | 0.437732i | ||||
\(919\) | 4.38695e6 | − | 2.53281e6i | 0.171346 | − | 0.0989266i | −0.411874 | − | 0.911241i | \(-0.635126\pi\) |
0.583220 | + | 0.812314i | \(0.301792\pi\) | |||||||
\(920\) | 632854. | − | 1.54740e7i | 0.0246510 | − | 0.602746i | ||||
\(921\) | 1.64654e7 | − | 1.38161e7i | 0.639623 | − | 0.536707i | ||||
\(922\) | 7.80341e6 | − | 4.09821e7i | 0.302313 | − | 1.58769i | ||||
\(923\) | −1.78301e6 | − | 1.02942e6i | −0.0688889 | − | 0.0397731i | ||||
\(924\) | −5.08875e6 | + | 1.69662e6i | −0.196079 | + | 0.0653739i | ||||
\(925\) | 3.32003e6 | − | 9.12170e6i | 0.127581 | − | 0.350527i | ||||
\(926\) | −2.29876e7 | + | 1.28575e7i | −0.880980 | + | 0.492753i | ||||
\(927\) | 2.05836e6 | + | 1.16735e7i | 0.0786722 | + | 0.446172i | ||||
\(928\) | 2.06902e7 | + | 2.83767e7i | 0.788669 | + | 1.08166i | ||||
\(929\) | −6.80504e6 | − | 5.71010e6i | −0.258697 | − | 0.217072i | 0.504210 | − | 0.863581i | \(-0.331784\pi\) |
−0.762906 | + | 0.646509i | \(0.776228\pi\) | |||||||
\(930\) | −5.90080e6 | + | 4.81590e6i | −0.223720 | + | 0.182587i | ||||
\(931\) | 2.48049e7 | − | 417739.i | 0.937913 | − | 0.0157954i | ||||
\(932\) | 4.32556e6 | − | 2.11450e7i | 0.163118 | − | 0.797384i | ||||
\(933\) | −2.41819e6 | + | 2.88188e6i | −0.0909465 | + | 0.108386i | ||||
\(934\) | 2.63269e7 | + | 1.56819e7i | 0.987490 | + | 0.588210i | ||||
\(935\) | −7.00288e7 | + | 1.23480e7i | −2.61968 | + | 0.461920i | ||||
\(936\) | −2.73214e6 | − | 8.58264e6i | −0.101933 | − | 0.320207i | ||||
\(937\) | −2.67899e7 | − | 9.75071e6i | −0.996831 | − | 0.362817i | −0.208469 | − | 0.978029i | \(-0.566848\pi\) |
−0.788362 | + | 0.615212i | \(0.789070\pi\) | |||||||
\(938\) | 2.29910e6 | − | 6.05857e6i | 0.0853198 | − | 0.224835i | ||||
\(939\) | 610031. | − | 1.05660e6i | 0.0225781 | − | 0.0391064i | ||||
\(940\) | −3.28746e7 | + | 1.78039e7i | −1.21350 | + | 0.657198i | ||||
\(941\) | −1.92888e7 | − | 2.29874e7i | −0.710117 | − | 0.846285i | 0.283514 | − | 0.958968i | \(-0.408500\pi\) |
−0.993631 | + | 0.112683i | \(0.964055\pi\) | |||||||
\(942\) | −1.49686e6 | − | 9.22214e6i | −0.0549608 | − | 0.338614i | ||||
\(943\) | −1.49487e6 | − | 2.58919e6i | −0.0547424 | − | 0.0948167i | ||||
\(944\) | −2.02940e6 | − | 1.90058e6i | −0.0741204 | − | 0.0694156i | ||||
\(945\) | −4.82552e6 | − | 850869.i | −0.175778 | − | 0.0309944i | ||||
\(946\) | −5.49828e7 | − | 4.74275e7i | −1.99756 | − | 1.72307i | ||||
\(947\) | −4.80961e6 | − | 1.32143e7i | −0.174275 | − | 0.478817i | 0.821546 | − | 0.570142i | \(-0.193112\pi\) |
−0.995821 | + | 0.0913255i | \(0.970890\pi\) | |||||||
\(948\) | 7.11891e6 | − | 5.65021e6i | 0.257272 | − | 0.204194i | ||||
\(949\) | − | 3.56948e6i | − | 0.128659i | ||||||
\(950\) | 1.07843e6 | + | 6.00316e6i | 0.0387688 | + | 0.215810i | ||||
\(951\) | 1.30374e7i | 0.467456i | ||||||||
\(952\) | 1.11407e7 | + | 2.43761e6i | 0.398399 | + | 0.0871708i | ||||
\(953\) | −1.55598e6 | − | 4.27501e6i | −0.0554971 | − | 0.152477i | 0.908846 | − | 0.417131i | \(-0.136964\pi\) |
−0.964343 | + | 0.264654i | \(0.914742\pi\) | |||||||
\(954\) | −2.72022e7 | + | 3.15356e7i | −0.967683 | + | 1.12184i | ||||
\(955\) | 9.67744e6 | + | 1.70639e6i | 0.343362 | + | 0.0605439i | ||||
\(956\) | 2.14562e7 | + | 1.31800e7i | 0.759292 | + | 0.466413i | ||||
\(957\) | 1.57473e7 | + | 2.72750e7i | 0.555808 | + | 0.962688i | ||||
\(958\) | −3.73603e7 | + | 6.06399e6i | −1.31521 | + | 0.213474i | ||||
\(959\) | −1.54376e6 | − | 1.83978e6i | −0.0542041 | − | 0.0645980i | ||||
\(960\) | 1.05647e6 | + | 1.13538e7i | 0.0369980 | + | 0.397614i | ||||
\(961\) | 6.82915e6 | − | 1.18284e7i | 0.238538 | − | 0.413161i | ||||
\(962\) | 1.92800e7 | + | 7.31633e6i | 0.671690 | + | 0.254892i | ||||
\(963\) | −2.06699e7 | − | 7.52324e6i | −0.718246 | − | 0.261420i | ||||
\(964\) | 3.14682e6 | − | 7.96366e6i | 0.109063 | − | 0.276007i | ||||
\(965\) | −1.25550e7 | + | 2.21379e6i | −0.434009 | + | 0.0765275i | ||||
\(966\) | −1.13989e6 | + | 1.91365e6i | −0.0393025 | + | 0.0659813i | ||||
\(967\) | −2.41545e7 | + | 2.87862e7i | −0.830675 | + | 0.989960i | 0.169315 | + | 0.985562i | \(0.445844\pi\) |
−0.999990 | + | 0.00439823i | \(0.998600\pi\) | |||||||
\(968\) | −3.21546e7 | − | 6.13546e7i | −1.10295 | − | 2.10455i | ||||
\(969\) | −4.11677e6 | − | 2.12486e7i | −0.140847 | − | 0.726977i | ||||
\(970\) | 1.80412e7 | + | 2.21055e7i | 0.615654 | + | 0.754347i | ||||
\(971\) | 85044.9 | + | 71361.2i | 0.00289468 | + | 0.00242892i | 0.644234 | − | 0.764829i | \(-0.277176\pi\) |
−0.641339 | + | 0.767258i | \(0.721621\pi\) | |||||||
\(972\) | 4.34613e6 | + | 2.92951e7i | 0.147549 | + | 0.994555i | ||||
\(973\) | −456814. | − | 2.59072e6i | −0.0154688 | − | 0.0877280i | ||||
\(974\) | 1.67688e6 | + | 2.99805e6i | 0.0566376 | + | 0.101261i | ||||
\(975\) | −424843. | + | 1.16725e6i | −0.0143125 | + | 0.0393234i | ||||
\(976\) | 1.69626e6 | + | 1.40636e7i | 0.0569989 | + | 0.472578i | ||||
\(977\) | 3.21349e7 | + | 1.85531e7i | 1.07706 | + | 0.621842i | 0.930102 | − | 0.367301i | \(-0.119718\pi\) |
0.146959 | + | 0.989143i | \(0.453051\pi\) | |||||||
\(978\) | 4.29607e6 | + | 818015.i | 0.143623 | + | 0.0273473i | ||||
\(979\) | 6.23998e7 | − | 5.23596e7i | 2.08078 | − | 1.74598i | ||||
\(980\) | 1.86460e7 | + | 1.65322e7i | 0.620184 | + | 0.549877i | ||||
\(981\) | −1.72185e7 | + | 9.94113e6i | −0.571247 | + | 0.329809i | ||||
\(982\) | 1.93109e7 | + | 5.53932e7i | 0.639035 | + | 1.83307i | ||||
\(983\) | −4.06649e6 | + | 2.30622e7i | −0.134226 | + | 0.761232i | 0.841170 | + | 0.540771i | \(0.181867\pi\) |
−0.975396 | + | 0.220461i | \(0.929244\pi\) | |||||||
\(984\) | 1.34488e6 | + | 1.74270e6i | 0.0442787 | + | 0.0573767i | ||||
\(985\) | −1.63327e7 | + | 5.94462e6i | −0.536374 | + | 0.195224i | ||||
\(986\) | 912271. | − | 6.69516e7i | 0.0298835 | − | 2.19315i | ||||
\(987\) | 5.37708e6 | 0.175693 | ||||||||
\(988\) | −1.27830e7 | + | 2.11701e6i | −0.416619 | + | 0.0689971i | ||||
\(989\) | −3.01516e7 | −0.980212 | ||||||||
\(990\) | 542805. | − | 3.98364e7i | 0.0176017 | − | 1.29179i | ||||
\(991\) | 3.00718e7 | − | 1.09452e7i | 0.972691 | − | 0.354030i | 0.193696 | − | 0.981062i | \(-0.437952\pi\) |
0.778994 | + | 0.627031i | \(0.215730\pi\) | |||||||
\(992\) | 9.85916e6 | + | 2.01280e7i | 0.318098 | + | 0.649413i | ||||
\(993\) | −2.54460e6 | + | 1.44311e7i | −0.0818928 | + | 0.464437i | ||||
\(994\) | 480777. | + | 1.37910e6i | 0.0154340 | + | 0.0442722i | ||||
\(995\) | 2.46190e7 | − | 1.42138e7i | 0.788338 | − | 0.455147i | ||||
\(996\) | −1.25091e7 | + | 1.41085e7i | −0.399557 | + | 0.450644i | ||||
\(997\) | 3.68859e7 | − | 3.09509e7i | 1.17523 | − | 0.986134i | 0.175230 | − | 0.984528i | \(-0.443933\pi\) |
0.999999 | − | 0.00160638i | \(-0.000511325\pi\) | |||||||
\(998\) | −4.37244e7 | − | 8.32557e6i | −1.38962 | − | 0.264599i | ||||
\(999\) | −3.77172e7 | − | 2.17760e7i | −1.19571 | − | 0.690343i |
(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 | 76.6.k.a.3.1 | ✓ | 288 | |
4.3 | odd | 2 | inner | 76.6.k.a.3.26 | yes | 288 | |
19.13 | odd | 18 | inner | 76.6.k.a.51.26 | yes | 288 | |
76.51 | even | 18 | inner | 76.6.k.a.51.1 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.6.k.a.3.1 | ✓ | 288 | 1.1 | even | 1 | trivial | |
76.6.k.a.3.26 | yes | 288 | 4.3 | odd | 2 | inner | |
76.6.k.a.51.1 | yes | 288 | 76.51 | even | 18 | inner | |
76.6.k.a.51.26 | yes | 288 | 19.13 | odd | 18 | inner |