Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 29.14 | ||
Character | \(\chi\) | \(=\) | 43.29 |
Dual form | 43.7.h.a.3.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.66970 | + | 5.54370i | 0.333713 | + | 0.692962i | 0.998539 | − | 0.0540362i | \(-0.0172086\pi\) |
−0.664826 | + | 0.746998i | \(0.731494\pi\) | |||||||
\(3\) | −33.1314 | + | 2.48285i | −1.22709 | + | 0.0919576i | −0.672456 | − | 0.740137i | \(-0.734760\pi\) |
−0.554633 | + | 0.832095i | \(0.687141\pi\) | |||||||
\(4\) | 16.2981 | − | 20.4372i | 0.254658 | − | 0.319331i | ||||
\(5\) | −16.0047 | − | 51.8861i | −0.128038 | − | 0.415089i | 0.868743 | − | 0.495263i | \(-0.164928\pi\) |
−0.996781 | + | 0.0801745i | \(0.974452\pi\) | |||||||
\(6\) | −102.215 | − | 177.042i | −0.473218 | − | 0.819638i | ||||
\(7\) | 211.134 | + | 121.898i | 0.615552 | + | 0.355389i | 0.775135 | − | 0.631795i | \(-0.217682\pi\) |
−0.159583 | + | 0.987184i | \(0.551015\pi\) | |||||||
\(8\) | 540.730 | + | 123.418i | 1.05611 | + | 0.241051i | ||||
\(9\) | 370.667 | − | 55.8691i | 0.508460 | − | 0.0766380i | ||||
\(10\) | 244.913 | − | 227.246i | 0.244913 | − | 0.227246i | ||||
\(11\) | 250.917 | + | 314.640i | 0.188518 | + | 0.236394i | 0.867104 | − | 0.498127i | \(-0.165979\pi\) |
−0.678587 | + | 0.734520i | \(0.737407\pi\) | |||||||
\(12\) | −489.236 | + | 717.578i | −0.283123 | + | 0.415265i | ||||
\(13\) | 1651.29 | + | 1532.17i | 0.751609 | + | 0.697391i | 0.959796 | − | 0.280698i | \(-0.0905658\pi\) |
−0.208187 | + | 0.978089i | \(0.566756\pi\) | |||||||
\(14\) | −112.102 | + | 1495.90i | −0.0408535 | + | 0.545152i | ||||
\(15\) | 659.085 | + | 1679.32i | 0.195284 | + | 0.497577i | ||||
\(16\) | 387.125 | + | 1696.11i | 0.0945131 | + | 0.414089i | ||||
\(17\) | 5161.89 | + | 1592.23i | 1.05066 | + | 0.324086i | 0.771547 | − | 0.636173i | \(-0.219483\pi\) |
0.279113 | + | 0.960258i | \(0.409960\pi\) | |||||||
\(18\) | 1299.29 | + | 1905.71i | 0.222787 | + | 0.326768i | ||||
\(19\) | −169.021 | + | 1121.38i | −0.0246423 | + | 0.163491i | −0.997767 | − | 0.0667868i | \(-0.978725\pi\) |
0.973125 | + | 0.230277i | \(0.0739634\pi\) | |||||||
\(20\) | −1321.25 | − | 518.553i | −0.165157 | − | 0.0648192i | ||||
\(21\) | −7297.83 | − | 3514.45i | −0.788017 | − | 0.379489i | ||||
\(22\) | −1074.39 | + | 2231.00i | −0.100901 | + | 0.209523i | ||||
\(23\) | 72.1719 | − | 183.891i | 0.00593178 | − | 0.0151139i | −0.927877 | − | 0.372886i | \(-0.878368\pi\) |
0.933809 | + | 0.357772i | \(0.116464\pi\) | |||||||
\(24\) | −18221.6 | − | 2746.46i | −1.31811 | − | 0.198673i | ||||
\(25\) | 10474.0 | − | 7141.03i | 0.670334 | − | 0.457026i | ||||
\(26\) | −4085.44 | + | 13244.7i | −0.232444 | + | 0.753565i | ||||
\(27\) | 11471.3 | − | 2618.24i | 0.582800 | − | 0.133020i | ||||
\(28\) | 5932.35 | − | 2328.27i | 0.270242 | − | 0.106062i | ||||
\(29\) | 20778.9 | + | 1557.16i | 0.851978 | + | 0.0638469i | 0.493557 | − | 0.869713i | \(-0.335696\pi\) |
0.358421 | + | 0.933560i | \(0.383315\pi\) | |||||||
\(30\) | −7550.09 | + | 8137.06i | −0.279633 | + | 0.301372i | ||||
\(31\) | 2538.77 | + | 1730.90i | 0.0852193 | + | 0.0581016i | 0.605180 | − | 0.796089i | \(-0.293101\pi\) |
−0.519961 | + | 0.854190i | \(0.674053\pi\) | |||||||
\(32\) | 19383.2 | − | 15457.6i | 0.591529 | − | 0.471729i | ||||
\(33\) | −9094.44 | − | 9801.47i | −0.253066 | − | 0.272740i | ||||
\(34\) | 4953.86 | + | 32866.7i | 0.126040 | + | 0.836219i | ||||
\(35\) | 2945.68 | − | 12905.9i | 0.0687040 | − | 0.301012i | ||||
\(36\) | 4899.36 | − | 8485.95i | 0.105010 | − | 0.181883i | ||||
\(37\) | −3922.38 | + | 2264.59i | −0.0774362 | + | 0.0447078i | −0.538218 | − | 0.842806i | \(-0.680902\pi\) |
0.460782 | + | 0.887513i | \(0.347569\pi\) | |||||||
\(38\) | −6667.84 | + | 2056.76i | −0.121516 | + | 0.0374828i | ||||
\(39\) | −58513.5 | − | 46663.0i | −0.986422 | − | 0.786645i | ||||
\(40\) | −2250.56 | − | 30031.6i | −0.0351650 | − | 0.469244i | ||||
\(41\) | −42574.1 | + | 20502.6i | −0.617723 | + | 0.297480i | −0.716454 | − | 0.697634i | \(-0.754236\pi\) |
0.0987308 | + | 0.995114i | \(0.468522\pi\) | |||||||
\(42\) | − | 49839.5i | − | 0.672706i | ||||||
\(43\) | −44842.4 | − | 65654.6i | −0.564005 | − | 0.825771i | ||||
\(44\) | 10519.8 | 0.123495 | ||||||||
\(45\) | −8831.26 | − | 18338.3i | −0.0969137 | − | 0.201243i | ||||
\(46\) | 1212.11 | − | 90.8354i | 0.0124529 | − | 0.000933215i | ||||
\(47\) | −35826.9 | + | 44925.6i | −0.345077 | + | 0.432713i | −0.923838 | − | 0.382785i | \(-0.874965\pi\) |
0.578761 | + | 0.815498i | \(0.303537\pi\) | |||||||
\(48\) | −17037.2 | − | 55233.2i | −0.154055 | − | 0.499432i | ||||
\(49\) | −29106.1 | − | 50413.2i | −0.247397 | − | 0.428505i | ||||
\(50\) | 67550.1 | + | 39000.0i | 0.540401 | + | 0.312000i | ||||
\(51\) | −174974. | − | 39936.7i | −1.31905 | − | 0.301066i | ||||
\(52\) | 58226.0 | − | 8776.16i | 0.414102 | − | 0.0624158i | ||||
\(53\) | −89105.7 | + | 82678.0i | −0.598519 | + | 0.555345i | −0.920173 | − | 0.391513i | \(-0.871952\pi\) |
0.321653 | + | 0.946857i | \(0.395761\pi\) | |||||||
\(54\) | 45139.5 | + | 56603.2i | 0.286666 | + | 0.359468i | ||||
\(55\) | 12309.6 | − | 18054.8i | 0.0739870 | − | 0.108519i | ||||
\(56\) | 99122.1 | + | 91971.9i | 0.564425 | + | 0.523710i | ||||
\(57\) | 2815.68 | − | 37572.6i | 0.0152040 | − | 0.202884i | ||||
\(58\) | 46841.0 | + | 119349.i | 0.240073 | + | 0.611695i | ||||
\(59\) | 32710.0 | + | 143312.i | 0.159267 | + | 0.697793i | 0.989994 | + | 0.141113i | \(0.0450680\pi\) |
−0.830727 | + | 0.556680i | \(0.812075\pi\) | |||||||
\(60\) | 45062.4 | + | 13899.9i | 0.208622 | + | 0.0643515i | ||||
\(61\) | 118117. | + | 173246.i | 0.520382 | + | 0.763260i | 0.993014 | − | 0.118000i | \(-0.0376483\pi\) |
−0.472632 | + | 0.881260i | \(0.656696\pi\) | |||||||
\(62\) | −2817.84 | + | 18695.2i | −0.0118234 | + | 0.0784430i | ||||
\(63\) | 85070.9 | + | 33387.9i | 0.340220 | + | 0.133526i | ||||
\(64\) | 237756. | + | 114497.i | 0.906967 | + | 0.436772i | ||||
\(65\) | 53069.9 | − | 110201.i | 0.193245 | − | 0.401277i | ||||
\(66\) | 30056.9 | − | 76583.8i | 0.104547 | − | 0.266382i | ||||
\(67\) | 144364. | + | 21759.4i | 0.479992 | + | 0.0723472i | 0.384582 | − | 0.923091i | \(-0.374346\pi\) |
0.0954103 | + | 0.995438i | \(0.469584\pi\) | |||||||
\(68\) | 116670. | − | 79544.1i | 0.371049 | − | 0.252977i | ||||
\(69\) | −1934.58 | + | 6271.76i | −0.00588898 | + | 0.0190916i | ||||
\(70\) | 79410.4 | − | 18124.9i | 0.231517 | − | 0.0528423i | ||||
\(71\) | −466218. | + | 182977.i | −1.30261 | + | 0.511236i | −0.912328 | − | 0.409461i | \(-0.865717\pi\) |
−0.390280 | + | 0.920696i | \(0.627622\pi\) | |||||||
\(72\) | 207326. | + | 15536.9i | 0.555464 | + | 0.0416263i | ||||
\(73\) | 362592. | − | 390781.i | 0.932072 | − | 1.00453i | −0.0679047 | − | 0.997692i | \(-0.521631\pi\) |
0.999977 | − | 0.00684275i | \(-0.00217813\pi\) | |||||||
\(74\) | −23025.8 | − | 15698.7i | −0.0568223 | − | 0.0387408i | ||||
\(75\) | −329287. | + | 262598.i | −0.780532 | + | 0.622453i | ||||
\(76\) | 20163.2 | + | 21730.7i | 0.0459323 | + | 0.0495032i | ||||
\(77\) | 14623.1 | + | 97017.7i | 0.0320307 | + | 0.212510i | ||||
\(78\) | 102472. | − | 448958.i | 0.215933 | − | 0.946066i | ||||
\(79\) | −3158.67 | + | 5470.98i | −0.00640653 | + | 0.0110964i | −0.869211 | − | 0.494442i | \(-0.835373\pi\) |
0.862804 | + | 0.505538i | \(0.168706\pi\) | |||||||
\(80\) | 81808.6 | − | 47232.2i | 0.159782 | − | 0.0922504i | ||||
\(81\) | −634686. | + | 195775.i | −1.19427 | + | 0.368385i | ||||
\(82\) | −227320. | − | 181282.i | −0.412284 | − | 0.328786i | ||||
\(83\) | 44832.5 | + | 598249.i | 0.0784078 | + | 1.04628i | 0.888168 | + | 0.459518i | \(0.151978\pi\) |
−0.809760 | + | 0.586761i | \(0.800403\pi\) | |||||||
\(84\) | −190766. | + | 91868.1i | −0.321857 | + | 0.154998i | ||||
\(85\) | − | 293314.i | − | 0.477612i | ||||||
\(86\) | 244253. | − | 423871.i | 0.384012 | − | 0.666405i | ||||
\(87\) | −692300. | −1.05132 | ||||||||
\(88\) | 96846.0 | + | 201103.i | 0.142113 | + | 0.295101i | ||||
\(89\) | 560834. | − | 42028.7i | 0.795544 | − | 0.0596178i | 0.329244 | − | 0.944245i | \(-0.393206\pi\) |
0.466299 | + | 0.884627i | \(0.345587\pi\) | |||||||
\(90\) | 78085.1 | − | 97915.6i | 0.107113 | − | 0.134315i | ||||
\(91\) | 161874. | + | 524782.i | 0.214809 | + | 0.696394i | ||||
\(92\) | −2581.95 | − | 4472.07i | −0.00331577 | − | 0.00574308i | ||||
\(93\) | −88410.6 | − | 51043.9i | −0.109915 | − | 0.0634592i | ||||
\(94\) | −344701. | − | 78675.7i | −0.415010 | − | 0.0947234i | ||||
\(95\) | 60889.3 | − | 9177.59i | 0.0710183 | − | 0.0107043i | ||||
\(96\) | −603814. | + | 560258.i | −0.682480 | + | 0.633249i | ||||
\(97\) | −549117. | − | 688571.i | −0.601658 | − | 0.754456i | 0.383977 | − | 0.923343i | \(-0.374554\pi\) |
−0.985635 | + | 0.168887i | \(0.945983\pi\) | |||||||
\(98\) | 201771. | − | 295943.i | 0.214378 | − | 0.314435i | ||||
\(99\) | 110585. | + | 102608.i | 0.113970 | + | 0.105749i | ||||
\(100\) | 24763.3 | − | 330443.i | 0.0247633 | − | 0.330443i | ||||
\(101\) | −85711.7 | − | 218390.i | −0.0831909 | − | 0.211967i | 0.883225 | − | 0.468949i | \(-0.155367\pi\) |
−0.966416 | + | 0.256982i | \(0.917272\pi\) | |||||||
\(102\) | −245732. | − | 1.07662e6i | −0.231559 | − | 1.01452i | ||||
\(103\) | −295107. | − | 91028.6i | −0.270065 | − | 0.0833040i | 0.156765 | − | 0.987636i | \(-0.449894\pi\) |
−0.426830 | + | 0.904332i | \(0.640370\pi\) | |||||||
\(104\) | 703802. | + | 1.03229e6i | 0.625677 | + | 0.917700i | ||||
\(105\) | −65551.2 | + | 434904.i | −0.0566256 | + | 0.375686i | ||||
\(106\) | −696228. | − | 273249.i | −0.584566 | − | 0.229425i | ||||
\(107\) | −1.61915e6 | − | 779743.i | −1.32171 | − | 0.636503i | −0.365947 | − | 0.930636i | \(-0.619255\pi\) |
−0.955764 | + | 0.294133i | \(0.904969\pi\) | |||||||
\(108\) | 133450. | − | 277112.i | 0.105937 | − | 0.219981i | ||||
\(109\) | 784414. | − | 1.99866e6i | 0.605712 | − | 1.54333i | −0.217778 | − | 0.975998i | \(-0.569881\pi\) |
0.823490 | − | 0.567330i | \(-0.192024\pi\) | |||||||
\(110\) | 132953. | + | 20039.5i | 0.0998899 | + | 0.0150560i | ||||
\(111\) | 124331. | − | 84767.6i | 0.0909099 | − | 0.0619813i | ||||
\(112\) | −125017. | + | 405296.i | −0.0889849 | + | 0.288482i | ||||
\(113\) | 1.12382e6 | − | 256504.i | 0.778861 | − | 0.177770i | 0.185433 | − | 0.982657i | \(-0.440631\pi\) |
0.593428 | + | 0.804887i | \(0.297774\pi\) | |||||||
\(114\) | 215808. | − | 84698.5i | 0.145664 | − | 0.0571691i | ||||
\(115\) | −10696.5 | − | 801.591i | −0.00703311 | − | 0.000527059i | ||||
\(116\) | 370480. | − | 399283.i | 0.237351 | − | 0.255804i | ||||
\(117\) | 697678. | + | 475669.i | 0.435610 | + | 0.296994i | ||||
\(118\) | −707152. | + | 563935.i | −0.430394 | + | 0.343228i | ||||
\(119\) | 895761. | + | 965401.i | 0.531559 | + | 0.572884i | ||||
\(120\) | 149128. | + | 989402.i | 0.0863011 | + | 0.572571i | ||||
\(121\) | 358170. | − | 1.56925e6i | 0.202178 | − | 0.885799i | ||||
\(122\) | −645084. | + | 1.11732e6i | −0.355252 | + | 0.615315i | ||||
\(123\) | 1.35963e6 | − | 784985.i | 0.730646 | − | 0.421838i | ||||
\(124\) | 76751.9 | − | 23674.8i | 0.0402554 | − | 0.0124171i | ||||
\(125\) | −1.20147e6 | − | 958140.i | −0.615152 | − | 0.490568i | ||||
\(126\) | 42021.9 | + | 560743.i | 0.0210070 | + | 0.280319i | ||||
\(127\) | −2.08515e6 | + | 1.00415e6i | −1.01795 | + | 0.490218i | −0.866992 | − | 0.498322i | \(-0.833950\pi\) |
−0.150957 | + | 0.988540i | \(0.548235\pi\) | |||||||
\(128\) | 37026.4i | 0.0176556i | ||||||||
\(129\) | 1.64870e6 | + | 2.06389e6i | 0.768021 | + | 0.961430i | ||||
\(130\) | 752600. | 0.342558 | ||||||||
\(131\) | 1.36258e6 | + | 2.82943e6i | 0.606105 | + | 1.25859i | 0.947826 | + | 0.318789i | \(0.103276\pi\) |
−0.341720 | + | 0.939802i | \(0.611010\pi\) | |||||||
\(132\) | −348536. | + | 26119.2i | −0.151540 | + | 0.0113563i | ||||
\(133\) | −172381. | + | 216159.i | −0.0732714 | + | 0.0918794i | ||||
\(134\) | 264782. | + | 858401.i | 0.110046 | + | 0.356760i | ||||
\(135\) | −319445. | − | 553294.i | −0.129836 | − | 0.224882i | ||||
\(136\) | 2.59468e6 | + | 1.49804e6i | 1.03149 | + | 0.595533i | ||||
\(137\) | −132666. | − | 30280.1i | −0.0515938 | − | 0.0117759i | 0.196646 | − | 0.980475i | \(-0.436995\pi\) |
−0.248240 | + | 0.968699i | \(0.579852\pi\) | |||||||
\(138\) | −39933.5 | + | 6019.01i | −0.0151950 | + | 0.00229027i | ||||
\(139\) | −2.35221e6 | + | 2.18253e6i | −0.875854 | + | 0.812673i | −0.983386 | − | 0.181528i | \(-0.941896\pi\) |
0.107532 | + | 0.994202i | \(0.465705\pi\) | |||||||
\(140\) | −215751. | − | 270543.i | −0.0786264 | − | 0.0985943i | ||||
\(141\) | 1.07545e6 | − | 1.57740e6i | 0.383649 | − | 0.562710i | ||||
\(142\) | −2.25903e6 | − | 2.09607e6i | −0.788964 | − | 0.732052i | ||||
\(143\) | −67746.0 | + | 904008.i | −0.0231673 | + | 0.309146i | ||||
\(144\) | 238255. | + | 607063.i | 0.0797910 | + | 0.203304i | ||||
\(145\) | −251766. | − | 1.10306e6i | −0.0825834 | − | 0.361821i | ||||
\(146\) | 3.13438e6 | + | 966829.i | 1.00715 | + | 0.310664i | ||||
\(147\) | 1.08949e6 | + | 1.59799e6i | 0.342983 | + | 0.503063i | ||||
\(148\) | −17645.6 | + | 117071.i | −0.00544315 | + | 0.0361130i | ||||
\(149\) | 1.58366e6 | + | 621540.i | 0.478743 | + | 0.187893i | 0.592427 | − | 0.805624i | \(-0.298170\pi\) |
−0.113684 | + | 0.993517i | \(0.536265\pi\) | |||||||
\(150\) | −2.33486e6 | − | 1.12441e6i | −0.691810 | − | 0.333158i | ||||
\(151\) | 788221. | − | 1.63676e6i | 0.228938 | − | 0.475394i | −0.754579 | − | 0.656209i | \(-0.772159\pi\) |
0.983517 | + | 0.180815i | \(0.0578734\pi\) | |||||||
\(152\) | −229794. | + | 585505.i | −0.0654346 | + | 0.166725i | ||||
\(153\) | 2.00230e6 | + | 301798.i | 0.559055 | + | 0.0842640i | ||||
\(154\) | −498797. | + | 340074.i | −0.136572 | + | 0.0931133i | ||||
\(155\) | 49177.5 | − | 159430.i | 0.0132060 | − | 0.0428128i | ||||
\(156\) | −1.90732e6 | + | 435333.i | −0.502400 | + | 0.114670i | ||||
\(157\) | −3.23299e6 | + | 1.26885e6i | −0.835420 | + | 0.327878i | −0.744203 | − | 0.667953i | \(-0.767171\pi\) |
−0.0912164 | + | 0.995831i | \(0.529075\pi\) | |||||||
\(158\) | −38762.1 | − | 2904.82i | −0.00982735 | − | 0.000736458i | ||||
\(159\) | 2.74692e6 | − | 2.96048e6i | 0.683368 | − | 0.736496i | ||||
\(160\) | −1.11226e6 | − | 758325.i | −0.271548 | − | 0.185138i | ||||
\(161\) | 37654.0 | − | 30028.1i | 0.00902264 | − | 0.00719531i | ||||
\(162\) | −2.77974e6 | − | 2.99584e6i | −0.653821 | − | 0.704651i | ||||
\(163\) | −818595. | − | 5.43102e6i | −0.189019 | − | 1.25406i | −0.859114 | − | 0.511785i | \(-0.828984\pi\) |
0.670094 | − | 0.742276i | \(-0.266254\pi\) | |||||||
\(164\) | −274862. | + | 1.20425e6i | −0.0623136 | + | 0.273014i | ||||
\(165\) | −363006. | + | 628745.i | −0.0808094 | + | 0.139966i | ||||
\(166\) | −3.19682e6 | + | 1.84568e6i | −0.698866 | + | 0.403490i | ||||
\(167\) | −105478. | + | 32535.5i | −0.0226470 | + | 0.00698568i | −0.306058 | − | 0.952013i | \(-0.599010\pi\) |
0.283411 | + | 0.958999i | \(0.408534\pi\) | |||||||
\(168\) | −3.51241e6 | − | 2.80105e6i | −0.740759 | − | 0.590736i | ||||
\(169\) | 18494.0 | + | 246785.i | 0.00383151 | + | 0.0511280i | ||||
\(170\) | 1.62604e6 | − | 783061.i | 0.330967 | − | 0.159385i | ||||
\(171\) | 425103.i | 0.0850169i | ||||||||
\(172\) | −2.07264e6 | − | 153593.i | −0.407323 | − | 0.0301847i | ||||
\(173\) | 7.33488e6 | 1.41662 | 0.708312 | − | 0.705900i | \(-0.249457\pi\) | ||||
0.708312 | + | 0.705900i | \(0.249457\pi\) | |||||||
\(174\) | −1.84823e6 | − | 3.83790e6i | −0.350840 | − | 0.728527i | ||||
\(175\) | 3.08189e6 | − | 230956.i | 0.575047 | − | 0.0430938i | ||||
\(176\) | −436527. | + | 547387.i | −0.0800706 | + | 0.100405i | ||||
\(177\) | −1.43955e6 | − | 4.66691e6i | −0.259602 | − | 0.841608i | ||||
\(178\) | 1.73025e6 | + | 2.99689e6i | 0.306796 | + | 0.531386i | ||||
\(179\) | 9.19205e6 | + | 5.30703e6i | 1.60270 | + | 0.925321i | 0.990944 | + | 0.134277i | \(0.0428713\pi\) |
0.611760 | + | 0.791044i | \(0.290462\pi\) | |||||||
\(180\) | −518716. | − | 118393.i | −0.0889430 | − | 0.0203007i | ||||
\(181\) | 3.27902e6 | − | 494233.i | 0.552979 | − | 0.0833482i | 0.133392 | − | 0.991063i | \(-0.457413\pi\) |
0.419587 | + | 0.907715i | \(0.362175\pi\) | |||||||
\(182\) | −2.47708e6 | + | 2.29839e6i | −0.410890 | + | 0.381250i | ||||
\(183\) | −4.34352e6 | − | 5.44660e6i | −0.708742 | − | 0.888735i | ||||
\(184\) | 61721.0 | − | 90528.1i | 0.00990785 | − | 0.0145321i | ||||
\(185\) | 180277. | + | 167273.i | 0.0284725 | + | 0.0264186i | ||||
\(186\) | 46941.7 | − | 626393.i | 0.00729491 | − | 0.0973438i | ||||
\(187\) | 794226. | + | 2.02366e6i | 0.121456 | + | 0.309465i | ||||
\(188\) | 334240. | + | 1.46440e6i | 0.0503020 | + | 0.220387i | ||||
\(189\) | 2.74113e6 | + | 845527.i | 0.406017 | + | 0.125240i | ||||
\(190\) | 213434. | + | 313050.i | 0.0311174 | + | 0.0456408i | ||||
\(191\) | 373625. | − | 2.47884e6i | 0.0536211 | − | 0.355753i | −0.945890 | − | 0.324487i | \(-0.894808\pi\) |
0.999511 | − | 0.0312654i | \(-0.00995372\pi\) | |||||||
\(192\) | −8.16146e6 | − | 3.20314e6i | −1.15309 | − | 0.452556i | ||||
\(193\) | −6.45013e6 | − | 3.10622e6i | −0.897215 | − | 0.432076i | −0.0723326 | − | 0.997381i | \(-0.523044\pi\) |
−0.824882 | + | 0.565305i | \(0.808759\pi\) | |||||||
\(194\) | 2.35125e6 | − | 4.88242e6i | 0.322028 | − | 0.668698i | ||||
\(195\) | −1.48467e6 | + | 3.78287e6i | −0.200228 | + | 0.510173i | ||||
\(196\) | −1.50468e6 | − | 226793.i | −0.199836 | − | 0.0301205i | ||||
\(197\) | −9.28792e6 | + | 6.33240e6i | −1.21484 | + | 0.828266i | −0.989290 | − | 0.145965i | \(-0.953371\pi\) |
−0.225553 | + | 0.974231i | \(0.572419\pi\) | |||||||
\(198\) | −273599. | + | 886985.i | −0.0352467 | + | 0.114267i | ||||
\(199\) | −9.43143e6 | + | 2.15266e6i | −1.19679 | + | 0.273160i | −0.774070 | − | 0.633100i | \(-0.781782\pi\) |
−0.422721 | + | 0.906260i | \(0.638925\pi\) | |||||||
\(200\) | 6.54492e6 | − | 2.56869e6i | 0.818114 | − | 0.321086i | ||||
\(201\) | −4.83700e6 | − | 362483.i | −0.595646 | − | 0.0446375i | ||||
\(202\) | 981862. | − | 1.05820e6i | 0.119123 | − | 0.128384i | ||||
\(203\) | 4.19732e6 | + | 2.86168e6i | 0.501746 | + | 0.342085i | ||||
\(204\) | −3.66794e6 | + | 2.92508e6i | −0.432047 | + | 0.344546i | ||||
\(205\) | 1.74519e6 | + | 1.88087e6i | 0.202573 | + | 0.218321i | ||||
\(206\) | −283214. | − | 1.87900e6i | −0.0323977 | − | 0.214944i | ||||
\(207\) | 16477.9 | − | 72194.6i | 0.00185777 | − | 0.00813942i | ||||
\(208\) | −1.95947e6 | + | 3.39390e6i | −0.217745 | + | 0.377146i | ||||
\(209\) | −395242. | + | 228193.i | −0.0432937 | + | 0.0249956i | ||||
\(210\) | −2.58598e6 | + | 797668.i | −0.279233 | + | 0.0861320i | ||||
\(211\) | −7.00409e6 | − | 5.58557e6i | −0.745597 | − | 0.594594i | 0.175247 | − | 0.984524i | \(-0.443928\pi\) |
−0.920844 | + | 0.389931i | \(0.872499\pi\) | |||||||
\(212\) | 237451. | + | 3.16856e6i | 0.0249211 | + | 0.332548i | ||||
\(213\) | 1.49921e7 | − | 7.21983e6i | 1.55140 | − | 0.747116i | ||||
\(214\) | − | 1.10578e7i | − | 1.12830i | ||||||
\(215\) | −2.68887e6 | + | 3.37748e6i | −0.270554 | + | 0.339842i | ||||
\(216\) | 6.52598e6 | 0.647567 | ||||||||
\(217\) | 325027. | + | 674925.i | 0.0318083 | + | 0.0660505i | ||||
\(218\) | 1.31741e7 | − | 987262.i | 1.27160 | − | 0.0952934i | ||||
\(219\) | −1.10429e7 | + | 1.38474e7i | −1.05136 | + | 1.31836i | ||||
\(220\) | −168367. | − | 545833.i | −0.0158121 | − | 0.0512615i | ||||
\(221\) | 6.08419e6 | + | 1.05381e7i | 0.563671 | + | 0.976307i | ||||
\(222\) | 801853. | + | 462950.i | 0.0732885 | + | 0.0423131i | ||||
\(223\) | 9.20356e6 | + | 2.10065e6i | 0.829929 | + | 0.189426i | 0.616323 | − | 0.787494i | \(-0.288622\pi\) |
0.213607 | + | 0.976920i | \(0.431479\pi\) | |||||||
\(224\) | 5.97672e6 | − | 900846.i | 0.531764 | − | 0.0801505i | ||||
\(225\) | 3.48339e6 | − | 3.23212e6i | 0.305812 | − | 0.283752i | ||||
\(226\) | 4.42223e6 | + | 5.54530e6i | 0.383104 | + | 0.480397i | ||||
\(227\) | 1.66193e6 | − | 2.43760e6i | 0.142081 | − | 0.208394i | −0.748602 | − | 0.663020i | \(-0.769275\pi\) |
0.890683 | + | 0.454626i | \(0.150227\pi\) | |||||||
\(228\) | −721988. | − | 669907.i | −0.0609152 | − | 0.0565210i | ||||
\(229\) | 73598.1 | − | 982098.i | 0.00612858 | − | 0.0817802i | −0.993301 | − | 0.115557i | \(-0.963135\pi\) |
0.999429 | + | 0.0337771i | \(0.0107536\pi\) | |||||||
\(230\) | −24112.7 | − | 61438.1i | −0.00198181 | − | 0.00504957i | ||||
\(231\) | −725363. | − | 3.17802e6i | −0.0588464 | − | 0.257823i | ||||
\(232\) | 1.10436e7 | + | 3.40649e6i | 0.884394 | + | 0.272800i | ||||
\(233\) | −2.78422e6 | − | 4.08370e6i | −0.220108 | − | 0.322839i | 0.700263 | − | 0.713885i | \(-0.253066\pi\) |
−0.920371 | + | 0.391046i | \(0.872113\pi\) | |||||||
\(234\) | −774370. | + | 5.13761e6i | −0.0604367 | + | 0.400972i | ||||
\(235\) | 2.90441e6 | + | 1.13990e6i | 0.223797 | + | 0.0878340i | ||||
\(236\) | 3.46200e6 | + | 1.66721e6i | 0.263385 | + | 0.126840i | ||||
\(237\) | 91067.5 | − | 189104.i | 0.00684098 | − | 0.0142054i | ||||
\(238\) | −2.96047e6 | + | 7.54316e6i | −0.219599 | + | 0.559529i | ||||
\(239\) | −5.25797e6 | − | 792511.i | −0.385145 | − | 0.0580512i | −0.0463838 | − | 0.998924i | \(-0.514770\pi\) |
−0.338761 | + | 0.940872i | \(0.610008\pi\) | |||||||
\(240\) | −2.59316e6 | + | 1.76799e6i | −0.187584 | + | 0.127893i | ||||
\(241\) | −7.41698e6 | + | 2.40452e7i | −0.529878 | + | 1.71782i | 0.153859 | + | 0.988093i | \(0.450830\pi\) |
−0.683737 | + | 0.729729i | \(0.739646\pi\) | |||||||
\(242\) | 9.65564e6 | − | 2.20384e6i | 0.681294 | − | 0.155501i | ||||
\(243\) | 1.25573e7 | − | 4.92837e6i | 0.875139 | − | 0.343467i | ||||
\(244\) | 5.46573e6 | + | 409600.i | 0.376252 | + | 0.0281962i | ||||
\(245\) | −2.14991e6 | + | 2.31705e6i | −0.146191 | + | 0.157557i | ||||
\(246\) | 7.98154e6 | + | 5.44172e6i | 0.536144 | + | 0.365537i | ||||
\(247\) | −1.99725e6 | + | 1.59275e6i | −0.132538 | + | 0.105696i | ||||
\(248\) | 1.15916e6 | + | 1.24928e6i | 0.0759958 | + | 0.0819040i | ||||
\(249\) | −2.97073e6 | − | 1.97095e7i | −0.192427 | − | 1.27667i | ||||
\(250\) | 2.10407e6 | − | 9.21853e6i | 0.134660 | − | 0.589986i | ||||
\(251\) | −1.38333e7 | + | 2.39600e7i | −0.874793 | + | 1.51519i | −0.0178105 | + | 0.999841i | \(0.505670\pi\) |
−0.856983 | + | 0.515345i | \(0.827664\pi\) | |||||||
\(252\) | 2.06885e6 | − | 1.19445e6i | 0.129279 | − | 0.0746391i | ||||
\(253\) | 75968.7 | − | 23433.2i | 0.00469108 | − | 0.00144701i | ||||
\(254\) | −1.11335e7 | − | 8.87864e6i | −0.679405 | − | 0.541808i | ||||
\(255\) | 728255. | + | 9.71789e6i | 0.0439201 | + | 0.586073i | ||||
\(256\) | 1.50111e7 | − | 7.22897e6i | 0.894732 | − | 0.430880i | ||||
\(257\) | − | 1.99535e7i | − | 1.17549i | −0.809046 | − | 0.587745i | \(-0.800016\pi\) | ||
0.809046 | − | 0.587745i | \(-0.199984\pi\) | |||||||
\(258\) | −7.04004e6 | + | 1.46499e7i | −0.409936 | + | 0.853051i | ||||
\(259\) | −1.10420e6 | −0.0635547 | ||||||||
\(260\) | −1.38725e6 | − | 2.88066e6i | −0.0789288 | − | 0.163897i | ||||
\(261\) | 7.78905e6 | − | 583708.i | 0.438089 | − | 0.0328303i | ||||
\(262\) | −1.20478e7 | + | 1.51075e7i | −0.669890 | + | 0.840016i | ||||
\(263\) | −7.78467e6 | − | 2.52373e7i | −0.427930 | − | 1.38732i | −0.871200 | − | 0.490927i | \(-0.836658\pi\) |
0.443270 | − | 0.896388i | \(-0.353818\pi\) | |||||||
\(264\) | −3.70795e6 | − | 6.42236e6i | −0.201522 | − | 0.349046i | ||||
\(265\) | 5.71596e6 | + | 3.30011e6i | 0.307151 | + | 0.177333i | ||||
\(266\) | −1.65852e6 | − | 378547.i | −0.0881205 | − | 0.0201129i | ||||
\(267\) | −1.84769e7 | + | 2.78494e6i | −0.970721 | + | 0.146313i | ||||
\(268\) | 2.79756e6 | − | 2.59575e6i | 0.145336 | − | 0.134853i | ||||
\(269\) | −1.98818e7 | − | 2.49310e7i | −1.02141 | − | 1.28081i | −0.959196 | − | 0.282742i | \(-0.908756\pi\) |
−0.0622120 | − | 0.998063i | \(-0.519815\pi\) | |||||||
\(270\) | 2.21447e6 | − | 3.24803e6i | 0.112507 | − | 0.165017i | ||||
\(271\) | −2.52220e7 | − | 2.34026e7i | −1.26728 | − | 1.17586i | −0.975651 | − | 0.219330i | \(-0.929613\pi\) |
−0.291627 | − | 0.956532i | \(-0.594197\pi\) | |||||||
\(272\) | −702298. | + | 9.37152e6i | −0.0348991 | + | 0.465697i | ||||
\(273\) | −6.66607e6 | − | 1.69849e7i | −0.327629 | − | 0.834784i | ||||
\(274\) | −186315. | − | 816297.i | −0.00905722 | − | 0.0396823i | ||||
\(275\) | 4.87495e6 | + | 1.50372e6i | 0.234408 | + | 0.0723052i | ||||
\(276\) | 96647.0 | + | 141755.i | 0.00459686 | + | 0.00674236i | ||||
\(277\) | 4.63957e6 | − | 3.07816e7i | 0.218292 | − | 1.44828i | −0.564212 | − | 0.825630i | \(-0.690820\pi\) |
0.782504 | − | 0.622645i | \(-0.213942\pi\) | |||||||
\(278\) | −1.83790e7 | − | 7.21322e6i | −0.855435 | − | 0.335734i | ||||
\(279\) | 1.03774e6 | + | 499750.i | 0.0477834 | + | 0.0230113i | ||||
\(280\) | 3.18564e6 | − | 6.61505e6i | 0.145118 | − | 0.301341i | ||||
\(281\) | −9.87680e6 | + | 2.51657e7i | −0.445141 | + | 1.13420i | 0.515619 | + | 0.856818i | \(0.327562\pi\) |
−0.960760 | + | 0.277382i | \(0.910533\pi\) | |||||||
\(282\) | 1.16158e7 | + | 1.75079e6i | 0.517965 | + | 0.0780707i | ||||
\(283\) | −9.97328e6 | + | 6.79967e6i | −0.440026 | + | 0.300005i | −0.762994 | − | 0.646405i | \(-0.776272\pi\) |
0.322968 | + | 0.946410i | \(0.395319\pi\) | |||||||
\(284\) | −3.85893e6 | + | 1.25103e7i | −0.168466 | + | 0.546153i | ||||
\(285\) | −1.99456e6 | + | 455246.i | −0.0861614 | + | 0.0196658i | ||||
\(286\) | −5.19241e6 | + | 2.03787e6i | −0.221958 | + | 0.0871120i | ||||
\(287\) | −1.14881e7 | − | 860913.i | −0.485962 | − | 0.0364178i | ||||
\(288\) | 6.32112e6 | − | 6.81255e6i | 0.264616 | − | 0.285189i | ||||
\(289\) | 4.16652e6 | + | 2.84069e6i | 0.172616 | + | 0.117687i | ||||
\(290\) | 5.44288e6 | − | 4.34055e6i | 0.223169 | − | 0.177972i | ||||
\(291\) | 1.99026e7 | + | 2.14499e7i | 0.807666 | + | 0.870457i | ||||
\(292\) | −2.07690e6 | − | 1.37793e7i | −0.0834194 | − | 0.553452i | ||||
\(293\) | −2.22497e6 | + | 9.74823e6i | −0.0884547 | + | 0.387546i | −0.999705 | − | 0.0243087i | \(-0.992262\pi\) |
0.911250 | + | 0.411854i | \(0.135119\pi\) | |||||||
\(294\) | −5.95016e6 | + | 1.03060e7i | −0.234146 | + | 0.405553i | ||||
\(295\) | 6.91238e6 | − | 3.99087e6i | 0.269254 | − | 0.155454i | ||||
\(296\) | −2.40044e6 | + | 740437.i | −0.0925582 | + | 0.0285504i | ||||
\(297\) | 3.70213e6 | + | 2.95235e6i | 0.141313 | + | 0.112694i | ||||
\(298\) | 782268. | + | 1.04386e7i | 0.0295602 | + | 0.394453i | ||||
\(299\) | 400929. | − | 193077.i | 0.0149987 | − | 0.00722299i | ||||
\(300\) | 1.10095e7i | 0.407761i | ||||||||
\(301\) | −1.46457e6 | − | 1.93281e7i | −0.0537046 | − | 0.708746i | ||||
\(302\) | 1.11780e7 | 0.405830 | ||||||||
\(303\) | 3.38198e6 | + | 7.02275e6i | 0.121575 | + | 0.252452i | ||||
\(304\) | −1.96742e6 | + | 147438.i | −0.0700287 | + | 0.00524792i | ||||
\(305\) | 7.09861e6 | − | 8.90137e6i | 0.250192 | − | 0.313731i | ||||
\(306\) | 3.67247e6 | + | 1.19059e7i | 0.128172 | + | 0.415524i | ||||
\(307\) | 2.05872e7 | + | 3.56580e7i | 0.711510 | + | 1.23237i | 0.964290 | + | 0.264848i | \(0.0853219\pi\) |
−0.252780 | + | 0.967524i | \(0.581345\pi\) | |||||||
\(308\) | 2.22109e6 | + | 1.28235e6i | 0.0760177 | + | 0.0438889i | ||||
\(309\) | 1.00033e7 | + | 2.28319e6i | 0.339054 | + | 0.0773869i | ||||
\(310\) | 1.01512e6 | − | 153004.i | 0.0340747 | − | 0.00513593i | ||||
\(311\) | −1.73798e7 | + | 1.61261e7i | −0.577781 | + | 0.536102i | −0.914017 | − | 0.405676i | \(-0.867036\pi\) |
0.336237 | + | 0.941778i | \(0.390846\pi\) | |||||||
\(312\) | −2.58810e7 | − | 3.24537e7i | −0.852151 | − | 1.06856i | ||||
\(313\) | 3.20251e7 | − | 4.69722e7i | 1.04438 | − | 1.53182i | 0.212265 | − | 0.977212i | \(-0.431916\pi\) |
0.832112 | − | 0.554607i | \(-0.187131\pi\) | |||||||
\(314\) | −1.56652e7 | − | 1.45352e7i | −0.505997 | − | 0.469497i | ||||
\(315\) | 370828. | − | 4.94836e6i | 0.0118643 | − | 0.158318i | ||||
\(316\) | 60331.0 | + | 153721.i | 0.00191196 | + | 0.00487160i | ||||
\(317\) | −3.24206e6 | − | 1.42044e7i | −0.101775 | − | 0.445907i | −0.999980 | − | 0.00632951i | \(-0.997985\pi\) |
0.898205 | − | 0.439578i | \(-0.144872\pi\) | |||||||
\(318\) | 2.37454e7 | + | 7.32450e6i | 0.738412 | + | 0.227770i | ||||
\(319\) | 4.72383e6 | + | 6.92859e6i | 0.145520 | + | 0.213438i | ||||
\(320\) | 2.13559e6 | − | 1.41687e7i | 0.0651731 | − | 0.432395i | ||||
\(321\) | 5.55808e7 | + | 2.18139e7i | 1.68039 | + | 0.659504i | ||||
\(322\) | 266991. | + | 128576.i | 0.00799705 | + | 0.00385118i | ||||
\(323\) | −2.65797e6 | + | 5.51933e6i | −0.0788756 | + | 0.163787i | ||||
\(324\) | −6.34309e6 | + | 1.61619e7i | −0.186494 | + | 0.475180i | ||||
\(325\) | 2.82368e7 | + | 4.25601e6i | 0.822555 | + | 0.123980i | ||||
\(326\) | 2.79225e7 | − | 1.90373e7i | 0.805938 | − | 0.549479i | ||||
\(327\) | −2.10264e7 | + | 6.81658e7i | −0.601341 | + | 1.94950i | ||||
\(328\) | −2.55515e7 | + | 5.83196e6i | −0.724093 | + | 0.165270i | ||||
\(329\) | −1.30406e7 | + | 5.11808e6i | −0.366194 | + | 0.143721i | ||||
\(330\) | −4.45469e6 | − | 333833.i | −0.123958 | − | 0.00928939i | ||||
\(331\) | 1.78559e7 | − | 1.92441e7i | 0.492377 | − | 0.530656i | −0.437161 | − | 0.899383i | \(-0.644016\pi\) |
0.929538 | + | 0.368727i | \(0.120206\pi\) | |||||||
\(332\) | 1.29572e7 | + | 8.83407e6i | 0.354076 | + | 0.241405i | ||||
\(333\) | −1.32738e6 | + | 1.05855e6i | −0.0359469 | + | 0.0286667i | ||||
\(334\) | −461961. | − | 497876.i | −0.0123984 | − | 0.0133623i | ||||
\(335\) | −1.18150e6 | − | 7.83874e6i | −0.0314267 | − | 0.208503i | ||||
\(336\) | 3.13571e6 | − | 1.37384e7i | 0.0826643 | − | 0.362176i | ||||
\(337\) | −9.13150e6 | + | 1.58162e7i | −0.238590 | + | 0.413250i | −0.960310 | − | 0.278935i | \(-0.910019\pi\) |
0.721720 | + | 0.692185i | \(0.243352\pi\) | |||||||
\(338\) | −1.31873e6 | + | 761368.i | −0.0341511 | + | 0.0197172i | ||||
\(339\) | −3.65967e7 | + | 1.12886e7i | −0.939384 | + | 0.289762i | ||||
\(340\) | −5.99450e6 | − | 4.78046e6i | −0.152516 | − | 0.121628i | ||||
\(341\) | 92408.9 | + | 1.23311e6i | 0.00233051 | + | 0.0310985i | ||||
\(342\) | −2.35664e6 | + | 1.13490e6i | −0.0589135 | + | 0.0283712i | ||||
\(343\) | − | 4.28744e7i | − | 1.06247i | ||||||
\(344\) | −1.61447e7 | − | 4.10357e7i | −0.396601 | − | 1.00806i | ||||
\(345\) | 356380. | 0.00867872 | ||||||||
\(346\) | 1.95819e7 | + | 4.06623e7i | 0.472746 | + | 0.981666i | ||||
\(347\) | −5.63351e7 | + | 4.22174e6i | −1.34831 | + | 0.101042i | −0.729222 | − | 0.684277i | \(-0.760118\pi\) |
−0.619091 | + | 0.785319i | \(0.712499\pi\) | |||||||
\(348\) | −1.12832e7 | + | 1.41486e7i | −0.267728 | + | 0.335720i | ||||
\(349\) | 2.97103e6 | + | 9.63184e6i | 0.0698925 | + | 0.226586i | 0.983779 | − | 0.179383i | \(-0.0574102\pi\) |
−0.913887 | + | 0.405969i | \(0.866934\pi\) | |||||||
\(350\) | 9.50809e6 | + | 1.64685e7i | 0.221763 | + | 0.384105i | ||||
\(351\) | 2.29539e7 | + | 1.32524e7i | 0.530805 | + | 0.306460i | ||||
\(352\) | 9.72716e6 | + | 2.22016e6i | 0.223027 | + | 0.0509046i | ||||
\(353\) | −1.97099e7 | + | 2.97078e6i | −0.448084 | + | 0.0675378i | −0.369208 | − | 0.929347i | \(-0.620371\pi\) |
−0.0788756 | + | 0.996884i | \(0.525133\pi\) | |||||||
\(354\) | 2.20288e7 | − | 2.04397e7i | 0.496570 | − | 0.460749i | ||||
\(355\) | 1.69557e7 | + | 2.12617e7i | 0.378991 | + | 0.475240i | ||||
\(356\) | 8.28158e6 | − | 1.21468e7i | 0.183554 | − | 0.269224i | ||||
\(357\) | −3.20748e7 | − | 2.97610e7i | −0.704951 | − | 0.654099i | ||||
\(358\) | −4.88053e6 | + | 6.51261e7i | −0.106370 | + | 1.41940i | ||||
\(359\) | −3.39658e6 | − | 8.65434e6i | −0.0734105 | − | 0.187047i | 0.889458 | − | 0.457016i | \(-0.151082\pi\) |
−0.962869 | + | 0.269969i | \(0.912987\pi\) | |||||||
\(360\) | −2.51205e6 | − | 1.10060e7i | −0.0538419 | − | 0.235897i | ||||
\(361\) | 4.37268e7 | + | 1.34879e7i | 0.929451 | + | 0.286698i | ||||
\(362\) | 1.14939e7 | + | 1.68584e7i | 0.242293 | + | 0.355379i | ||||
\(363\) | −7.97047e6 | + | 5.28806e7i | −0.166634 | + | 1.10555i | ||||
\(364\) | 1.33633e7 | + | 5.24471e6i | 0.277083 | + | 0.108747i | ||||
\(365\) | −2.60793e7 | − | 1.25591e7i | −0.536312 | − | 0.258274i | ||||
\(366\) | 1.85984e7 | − | 3.86200e7i | 0.379343 | − | 0.787714i | ||||
\(367\) | 6.11614e6 | − | 1.55837e7i | 0.123731 | − | 0.315262i | −0.855565 | − | 0.517696i | \(-0.826790\pi\) |
0.979296 | + | 0.202434i | \(0.0648851\pi\) | |||||||
\(368\) | 339839. | + | 51222.4i | 0.00681914 | + | 0.00102782i | ||||
\(369\) | −1.46354e7 | + | 9.97822e6i | −0.291289 | + | 0.198598i | ||||
\(370\) | −446023. | + | 1.44597e6i | −0.00880546 | + | 0.0285466i | ||||
\(371\) | −2.88916e7 | + | 6.59432e6i | −0.565783 | + | 0.129136i | ||||
\(372\) | −2.48412e6 | + | 974944.i | −0.0482551 | + | 0.0189387i | ||||
\(373\) | 4.02506e7 | + | 3.01636e6i | 0.775614 | + | 0.0581243i | 0.456655 | − | 0.889644i | \(-0.349048\pi\) |
0.318960 | + | 0.947768i | \(0.396667\pi\) | |||||||
\(374\) | −9.09818e6 | + | 9.80551e6i | −0.173916 | + | 0.187437i | ||||
\(375\) | 4.21853e7 | + | 2.87614e7i | 0.799958 | + | 0.545402i | ||||
\(376\) | −2.49173e7 | + | 1.98709e7i | −0.468746 | + | 0.373813i | ||||
\(377\) | 3.19260e7 | + | 3.44081e7i | 0.595828 | + | 0.642150i | ||||
\(378\) | 2.63066e6 | + | 1.74533e7i | 0.0487068 | + | 0.323149i | ||||
\(379\) | −8.45478e6 | + | 3.70428e7i | −0.155305 | + | 0.680435i | 0.835987 | + | 0.548750i | \(0.184896\pi\) |
−0.991292 | + | 0.131685i | \(0.957961\pi\) | |||||||
\(380\) | 804816. | − | 1.39398e6i | 0.0146672 | − | 0.0254043i | ||||
\(381\) | 6.65907e7 | − | 3.84462e7i | 1.20403 | − | 0.695149i | ||||
\(382\) | 1.47394e7 | − | 4.54650e6i | 0.264417 | − | 0.0815619i | ||||
\(383\) | −4.82140e7 | − | 3.84494e7i | −0.858177 | − | 0.684374i | 0.0921096 | − | 0.995749i | \(-0.470639\pi\) |
−0.950287 | + | 0.311375i | \(0.899210\pi\) | |||||||
\(384\) | −91931.3 | − | 1.22674e6i | −0.00162356 | − | 0.0216650i | ||||
\(385\) | 4.79983e6 | − | 2.31148e6i | 0.0841092 | − | 0.0405049i | ||||
\(386\) | − | 4.40502e7i | − | 0.765925i | ||||||
\(387\) | −2.02897e7 | − | 2.18307e7i | −0.350059 | − | 0.376647i | ||||
\(388\) | −2.30220e7 | −0.394138 | ||||||||
\(389\) | −6.35621e6 | − | 1.31988e7i | −0.107982 | − | 0.224226i | 0.839975 | − | 0.542624i | \(-0.182569\pi\) |
−0.947957 | + | 0.318398i | \(0.896855\pi\) | |||||||
\(390\) | −2.49347e7 | + | 1.86860e6i | −0.420349 | + | 0.0315008i | ||||
\(391\) | 665341. | − | 834311.i | 0.0111305 | − | 0.0139572i | ||||
\(392\) | −9.51661e6 | − | 3.08521e7i | −0.157988 | − | 0.512185i | ||||
\(393\) | −5.21692e7 | − | 9.03598e7i | −0.859482 | − | 1.48867i | ||||
\(394\) | −5.99009e7 | − | 3.45838e7i | −0.979365 | − | 0.565437i | ||||
\(395\) | 334421. | + | 76329.5i | 0.00542629 | + | 0.00123851i | ||||
\(396\) | 3.89935e6 | − | 587733.i | 0.0627924 | − | 0.00946443i | ||||
\(397\) | −2.74600e6 | + | 2.54792e6i | −0.0438863 | + | 0.0407206i | −0.701811 | − | 0.712363i | \(-0.747625\pi\) |
0.657925 | + | 0.753084i | \(0.271434\pi\) | |||||||
\(398\) | −3.71128e7 | − | 4.65380e7i | −0.588674 | − | 0.738173i | ||||
\(399\) | 5.17453e6 | − | 7.58964e6i | 0.0814614 | − | 0.119482i | ||||
\(400\) | 1.61667e7 | + | 1.50005e7i | 0.252605 | + | 0.234383i | ||||
\(401\) | 6.09511e6 | − | 8.13336e7i | 0.0945253 | − | 1.26135i | −0.725177 | − | 0.688563i | \(-0.758242\pi\) |
0.819702 | − | 0.572790i | \(-0.194139\pi\) | |||||||
\(402\) | −1.09039e7 | − | 2.77826e7i | −0.167843 | − | 0.427656i | ||||
\(403\) | 1.54020e6 | + | 6.74804e6i | 0.0235321 | + | 0.103101i | ||||
\(404\) | −5.86021e6 | − | 1.80764e6i | −0.0888728 | − | 0.0274136i | ||||
\(405\) | 2.03160e7 | + | 2.97980e7i | 0.305825 | + | 0.448562i | ||||
\(406\) | −4.65871e6 | + | 3.09085e7i | −0.0696125 | + | 0.461849i | ||||
\(407\) | −1.69672e6 | − | 665914.i | −0.0251667 | − | 0.00987722i | ||||
\(408\) | −8.96847e7 | − | 4.31899e7i | −1.32050 | − | 0.635919i | ||||
\(409\) | 2.88184e7 | − | 5.98420e7i | 0.421211 | − | 0.874654i | −0.577107 | − | 0.816669i | \(-0.695818\pi\) |
0.998317 | − | 0.0579847i | \(-0.0184675\pi\) | |||||||
\(410\) | −5.76781e6 | + | 1.46961e7i | −0.0836873 | + | 0.213232i | ||||
\(411\) | 4.47058e6 | + | 673832.i | 0.0643930 | + | 0.00970568i | ||||
\(412\) | −6.67005e6 | + | 4.54757e6i | −0.0953757 | + | 0.0650261i | ||||
\(413\) | −1.05633e7 | + | 3.42454e7i | −0.149951 | + | 0.486129i | ||||
\(414\) | 444216. | − | 101389.i | 0.00626027 | − | 0.00142887i | ||||
\(415\) | 3.03233e7 | − | 1.19010e7i | 0.424260 | − | 0.166510i | ||||
\(416\) | 5.56909e7 | + | 4.17346e6i | 0.773578 | + | 0.0579717i | ||||
\(417\) | 7.25131e7 | − | 7.81505e7i | 1.00002 | − | 1.07776i | ||||
\(418\) | −2.32021e6 | − | 1.58189e6i | −0.0317687 | − | 0.0216595i | ||||
\(419\) | −4.66820e7 | + | 3.72276e7i | −0.634611 | + | 0.506085i | −0.887138 | − | 0.461505i | \(-0.847310\pi\) |
0.252527 | + | 0.967590i | \(0.418738\pi\) | |||||||
\(420\) | 7.81984e6 | + | 8.42779e6i | 0.105548 | + | 0.113754i | ||||
\(421\) | 2.06866e6 | + | 1.37247e7i | 0.0277232 | + | 0.183931i | 0.998407 | − | 0.0564306i | \(-0.0179720\pi\) |
−0.970683 | + | 0.240362i | \(0.922734\pi\) | |||||||
\(422\) | 1.22659e7 | − | 5.37403e7i | 0.163216 | − | 0.715094i | ||||
\(423\) | −1.07699e7 | + | 1.86540e7i | −0.142296 | + | 0.246463i | ||||
\(424\) | −5.83861e7 | + | 3.37092e7i | −0.765970 | + | 0.442233i | ||||
\(425\) | 6.54357e7 | − | 2.01842e7i | 0.852408 | − | 0.262933i | ||||
\(426\) | 8.00491e7 | + | 6.38370e7i | 1.03545 | + | 0.825741i | ||||
\(427\) | 3.82015e6 | + | 5.09763e7i | 0.0490678 | + | 0.654764i | ||||
\(428\) | −4.23249e7 | + | 2.03826e7i | −0.539839 | + | 0.259973i | ||||
\(429\) | − | 3.01192e7i | − | 0.381480i | ||||||
\(430\) | −2.59022e7 | − | 5.88940e6i | −0.325785 | − | 0.0740740i | ||||
\(431\) | 6.69534e7 | 0.836259 | 0.418129 | − | 0.908387i | \(-0.362686\pi\) | ||||
0.418129 | + | 0.908387i | \(0.362686\pi\) | |||||||
\(432\) | 8.88163e6 | + | 1.84429e7i | 0.110164 | + | 0.228759i | ||||
\(433\) | 3.31460e6 | − | 248395.i | 0.0408289 | − | 0.00305970i | −0.0543000 | − | 0.998525i | \(-0.517293\pi\) |
0.0951289 | + | 0.995465i | \(0.469674\pi\) | |||||||
\(434\) | −2.87385e6 | + | 3.60370e6i | −0.0351557 | + | 0.0440838i | ||||
\(435\) | 1.10801e7 | + | 3.59207e7i | 0.134609 | + | 0.436393i | ||||
\(436\) | −2.80624e7 | − | 4.86055e7i | −0.338583 | − | 0.586443i | ||||
\(437\) | 194014. | + | 112014.i | 0.00232481 | + | 0.00134223i | ||||
\(438\) | −1.06247e8 | − | 2.42502e7i | −1.26443 | − | 0.288598i | ||||
\(439\) | −8.30638e7 | + | 1.25199e7i | −0.981789 | + | 0.147981i | −0.620274 | − | 0.784385i | \(-0.712979\pi\) |
−0.361515 | + | 0.932366i | \(0.617740\pi\) | |||||||
\(440\) | 8.88445e6 | − | 8.24356e6i | 0.104297 | − | 0.0967736i | ||||
\(441\) | −1.36052e7 | − | 1.70604e7i | −0.158631 | − | 0.198917i | ||||
\(442\) | −4.21772e7 | + | 6.18625e7i | −0.488439 | + | 0.716409i | ||||
\(443\) | 5.30406e7 | + | 4.92145e7i | 0.610095 | + | 0.566085i | 0.923531 | − | 0.383524i | \(-0.125290\pi\) |
−0.313436 | + | 0.949609i | \(0.601480\pi\) | |||||||
\(444\) | 293953. | − | 3.92253e6i | 0.00335837 | − | 0.0448144i | ||||
\(445\) | −1.11567e7 | − | 2.84268e7i | −0.126606 | − | 0.322588i | ||||
\(446\) | 1.29254e7 | + | 5.66298e7i | 0.145693 | + | 0.638323i | ||||
\(447\) | −5.40120e7 | − | 1.66605e7i | −0.604739 | − | 0.186537i | ||||
\(448\) | 3.62414e7 | + | 5.31563e7i | 0.403061 | + | 0.591182i | ||||
\(449\) | −1.13348e7 | + | 7.52017e7i | −0.125221 | + | 0.830784i | 0.834739 | + | 0.550646i | \(0.185619\pi\) |
−0.959960 | + | 0.280139i | \(0.909620\pi\) | |||||||
\(450\) | 2.72175e7 | + | 1.06821e7i | 0.298683 | + | 0.117224i | ||||
\(451\) | −1.71335e7 | − | 8.25106e6i | −0.186774 | − | 0.0899457i | ||||
\(452\) | 1.30739e7 | − | 2.71481e7i | 0.141576 | − | 0.293985i | ||||
\(453\) | −2.20510e7 | + | 5.61851e7i | −0.237211 | + | 0.604403i | ||||
\(454\) | 1.79502e7 | + | 2.70555e6i | 0.191823 | + | 0.0289127i | ||||
\(455\) | 2.46382e7 | − | 1.67980e7i | 0.261562 | − | 0.178330i | ||||
\(456\) | 6.15966e6 | − | 1.99691e7i | 0.0649624 | − | 0.210603i | ||||
\(457\) | −1.62492e8 | + | 3.70876e7i | −1.70248 | + | 0.388580i | −0.959716 | − | 0.280973i | \(-0.909343\pi\) |
−0.742765 | + | 0.669553i | \(0.766486\pi\) | |||||||
\(458\) | 5.64094e6 | − | 2.21390e6i | 0.0587158 | − | 0.0230442i | ||||
\(459\) | 6.33822e7 | + | 4.74984e6i | 0.655434 | + | 0.0491180i | ||||
\(460\) | −190715. | + | 205542.i | −0.00195934 | + | 0.00211167i | ||||
\(461\) | 1.15895e8 | + | 7.90157e7i | 1.18294 | + | 0.806512i | 0.984805 | − | 0.173664i | \(-0.0555606\pi\) |
0.198130 | + | 0.980176i | \(0.436513\pi\) | |||||||
\(462\) | 1.56815e7 | − | 1.25056e7i | 0.159024 | − | 0.126817i | ||||
\(463\) | 6.32295e7 | + | 6.81452e7i | 0.637055 | + | 0.686582i | 0.966228 | − | 0.257688i | \(-0.0829606\pi\) |
−0.329174 | + | 0.944269i | \(0.606770\pi\) | |||||||
\(464\) | 5.40292e6 | + | 3.58460e7i | 0.0540847 | + | 0.358829i | ||||
\(465\) | −1.23348e6 | + | 5.40422e6i | −0.0122680 | + | 0.0537495i | ||||
\(466\) | 1.52057e7 | − | 2.63371e7i | 0.150262 | − | 0.260262i | ||||
\(467\) | 1.06453e8 | − | 6.14605e7i | 1.04522 | − | 0.603456i | 0.123910 | − | 0.992293i | \(-0.460457\pi\) |
0.921306 | + | 0.388838i | \(0.127123\pi\) | |||||||
\(468\) | 2.10922e7 | − | 6.50607e6i | 0.205771 | − | 0.0634718i | ||||
\(469\) | 2.78277e7 | + | 2.21919e7i | 0.269749 | + | 0.215117i | ||||
\(470\) | 1.43467e6 | + | 1.91444e7i | 0.0138184 | + | 0.184394i | ||||
\(471\) | 1.03963e8 | − | 5.00659e7i | 0.994983 | − | 0.479159i | ||||
\(472\) | 8.15301e7i | 0.775339i | ||||||||
\(473\) | 9.40584e6 | − | 3.05831e7i | 0.0888821 | − | 0.289000i | ||||
\(474\) | 1.29146e6 | 0.0121268 | ||||||||
\(475\) | 6.23750e6 | + | 1.29523e7i | 0.0582009 | + | 0.120855i | ||||
\(476\) | 3.43293e7 | − | 2.57262e6i | 0.318305 | − | 0.0238537i | ||||
\(477\) | −2.84094e7 | + | 3.56243e7i | −0.261762 | + | 0.328240i | ||||
\(478\) | −9.64377e6 | − | 3.12643e7i | −0.0883005 | − | 0.286263i | ||||
\(479\) | −9.51310e7 | − | 1.64772e8i | −0.865597 | − | 1.49926i | −0.866454 | − | 0.499258i | \(-0.833606\pi\) |
0.000857036 | − | 1.00000i | \(-0.499727\pi\) | |||||||
\(480\) | 3.87335e7 | + | 2.23628e7i | 0.350238 | + | 0.202210i | ||||
\(481\) | −9.94669e6 | − | 2.27027e6i | −0.0893806 | − | 0.0204005i | ||||
\(482\) | −1.53101e8 | + | 2.30762e7i | −1.36721 | + | 0.206074i | ||||
\(483\) | −1.17297e6 | + | 1.08836e6i | −0.0104099 | + | 0.00965899i | ||||
\(484\) | −2.62335e7 | − | 3.28957e7i | −0.231377 | − | 0.290137i | ||||
\(485\) | −2.69388e7 | + | 3.95120e7i | −0.236131 | + | 0.346341i | ||||
\(486\) | 6.08456e7 | + | 5.64565e7i | 0.530054 | + | 0.491819i | ||||
\(487\) | 1.46865e7 | − | 1.95978e8i | 0.127155 | − | 1.69676i | −0.460510 | − | 0.887654i | \(-0.652334\pi\) |
0.587665 | − | 0.809105i | \(-0.300047\pi\) | |||||||
\(488\) | 4.24877e7 | + | 1.08257e8i | 0.365598 | + | 0.931527i | ||||
\(489\) | 4.06056e7 | + | 1.77905e8i | 0.347264 | + | 1.52146i | ||||
\(490\) | −1.85846e7 | − | 5.73260e6i | −0.157967 | − | 0.0487263i | ||||
\(491\) | −4.29043e7 | − | 6.29290e7i | −0.362456 | − | 0.531626i | 0.601085 | − | 0.799185i | \(-0.294735\pi\) |
−0.963541 | + | 0.267559i | \(0.913783\pi\) | |||||||
\(492\) | 6.11658e6 | − | 4.05808e7i | 0.0513586 | − | 0.340742i | ||||
\(493\) | 1.04779e8 | + | 4.11227e7i | 0.874447 | + | 0.343195i | ||||
\(494\) | −1.41618e7 | − | 6.81997e6i | −0.117473 | − | 0.0565720i | ||||
\(495\) | 3.55405e6 | − | 7.38006e6i | 0.0293027 | − | 0.0608477i | ||||
\(496\) | −1.95298e6 | + | 4.97610e6i | −0.0160049 | + | 0.0407797i | ||||
\(497\) | −1.20739e8 | − | 1.81985e7i | −0.983510 | − | 0.148240i | ||||
\(498\) | 1.01333e8 | − | 6.90873e7i | 0.820466 | − | 0.559385i | ||||
\(499\) | 3.87360e7 | − | 1.25579e8i | 0.311755 | − | 1.01068i | −0.655140 | − | 0.755508i | \(-0.727390\pi\) |
0.966894 | − | 0.255176i | \(-0.0821336\pi\) | |||||||
\(500\) | −3.91633e7 | + | 8.93878e6i | −0.313307 | + | 0.0715102i | ||||
\(501\) | 3.41384e6 | − | 1.33983e6i | 0.0271475 | − | 0.0106546i | ||||
\(502\) | −1.69758e8 | − | 1.27216e7i | −1.34190 | − | 0.100561i | ||||
\(503\) | 9.51789e7 | − | 1.02578e8i | 0.747889 | − | 0.806032i | −0.238382 | − | 0.971172i | \(-0.576617\pi\) |
0.986270 | + | 0.165139i | \(0.0528074\pi\) | |||||||
\(504\) | 4.18797e7 | + | 2.85531e7i | 0.327124 | + | 0.223029i | ||||
\(505\) | −9.95961e6 | + | 7.94252e6i | −0.0773336 | + | 0.0616715i | ||||
\(506\) | 332720. | + | 358587.i | 0.00256819 | + | 0.00276786i | ||||
\(507\) | −1.22546e6 | − | 8.13042e6i | −0.00940322 | − | 0.0623863i | ||||
\(508\) | −1.34619e7 | + | 5.89804e7i | −0.102687 | + | 0.449900i | ||||
\(509\) | −7.86375e7 | + | 1.36204e8i | −0.596316 | + | 1.03285i | 0.397044 | + | 0.917800i | \(0.370036\pi\) |
−0.993360 | + | 0.115050i | \(0.963297\pi\) | |||||||
\(510\) | −5.19288e7 | + | 2.99811e7i | −0.391469 | + | 0.226015i | ||||
\(511\) | 1.24191e8 | − | 3.83079e7i | 0.930739 | − | 0.287095i | ||||
\(512\) | 8.20031e7 | + | 6.53953e7i | 0.610971 | + | 0.487233i | ||||
\(513\) | 997162. | + | 1.33062e7i | 0.00738607 | + | 0.0985603i | ||||
\(514\) | 1.10616e8 | − | 5.32699e7i | 0.814570 | − | 0.392276i | ||||
\(515\) | 1.67689e7i | 0.122767i | ||||||||
\(516\) | 6.90508e7 | − | 57299.1i | 0.502597 | − | 0.000417060i | ||||
\(517\) | −2.31250e7 | −0.167344 | ||||||||
\(518\) | −2.94788e6 | − | 6.12133e6i | −0.0212090 | − | 0.0440410i | ||||
\(519\) | −2.43015e8 | + | 1.82114e7i | −1.73832 | + | 0.130269i | ||||
\(520\) | 4.22972e7 | − | 5.30390e7i | 0.300817 | − | 0.377212i | ||||
\(521\) | 1.23273e7 | + | 3.99641e7i | 0.0871674 | + | 0.282590i | 0.988653 | − | 0.150220i | \(-0.0479983\pi\) |
−0.901485 | + | 0.432810i | \(0.857522\pi\) | |||||||
\(522\) | 2.40303e7 | + | 4.16218e7i | 0.168946 | + | 0.292623i | ||||
\(523\) | 2.78872e7 | + | 1.61007e7i | 0.194939 | + | 0.112548i | 0.594293 | − | 0.804249i | \(-0.297432\pi\) |
−0.399354 | + | 0.916797i | \(0.630765\pi\) | |||||||
\(524\) | 8.00329e7 | + | 1.82670e7i | 0.556256 | + | 0.126962i | ||||
\(525\) | −1.01534e8 | + | 1.53038e7i | −0.701671 | + | 0.105760i | ||||
\(526\) | 1.19125e8 | − | 1.10532e8i | 0.818551 | − | 0.759504i | ||||
\(527\) | 1.03489e7 | + | 1.29770e7i | 0.0707067 | + | 0.0886633i | ||||
\(528\) | 1.31037e7 | − | 1.92195e7i | 0.0890207 | − | 0.130569i | ||||
\(529\) | 1.08489e8 | + | 1.00663e8i | 0.732859 | + | 0.679993i | ||||
\(530\) | −3.03489e6 | + | 4.04978e7i | −0.0203852 | + | 0.272022i | ||||
\(531\) | 2.01312e7 | + | 5.12936e7i | 0.134458 | + | 0.342594i | ||||
\(532\) | 1.60819e6 | + | 7.04596e6i | 0.0106808 | + | 0.0467956i | ||||
\(533\) | −1.01715e8 | − | 3.13751e7i | −0.671746 | − | 0.207206i | ||||
\(534\) | −6.47666e7 | − | 9.49951e7i | −0.425331 | − | 0.623846i | ||||
\(535\) | −1.45437e7 | + | 9.64911e7i | −0.0949759 | + | 0.630124i | ||||
\(536\) | 7.53764e7 | + | 2.95830e7i | 0.489487 | + | 0.192109i | ||||
\(537\) | −3.17722e8 | − | 1.53007e8i | −2.05175 | − | 0.988070i | ||||
\(538\) | 8.51314e7 | − | 1.76777e8i | 0.546692 | − | 1.13522i | ||||
\(539\) | 8.55879e6 | − | 2.18075e7i | 0.0546571 | − | 0.139264i | ||||
\(540\) | −1.65141e7 | − | 2.48910e6i | −0.104875 | − | 0.0158074i | ||||
\(541\) | −2.00427e8 | + | 1.36649e8i | −1.26580 | + | 0.863006i | −0.995024 | − | 0.0996367i | \(-0.968232\pi\) |
−0.270774 | + | 0.962643i | \(0.587280\pi\) | |||||||
\(542\) | 6.24017e7 | − | 2.02301e8i | 0.391921 | − | 1.27058i | ||||
\(543\) | −1.07411e8 | + | 2.45160e7i | −0.670890 | + | 0.153126i | ||||
\(544\) | 1.24666e8 | − | 4.89279e7i | 0.774376 | − | 0.303920i | ||||
\(545\) | −1.16257e8 | − | 8.71224e6i | −0.718173 | − | 0.0538196i | ||||
\(546\) | 7.63625e7 | − | 8.22992e7i | 0.469140 | − | 0.505612i | ||||
\(547\) | −1.60785e8 | − | 1.09622e8i | −0.982392 | − | 0.669784i | −0.0382315 | − | 0.999269i | \(-0.512172\pi\) |
−0.944161 | + | 0.329485i | \(0.893125\pi\) | |||||||
\(548\) | −2.78104e6 | + | 2.21780e6i | −0.0168992 | + | 0.0134766i | ||||
\(549\) | 5.34611e7 | + | 5.76174e7i | 0.323088 | + | 0.348206i | ||||
\(550\) | 4.67849e6 | + | 3.10397e7i | 0.0281201 | + | 0.186565i | ||||
\(551\) | −5.25825e6 | + | 2.30379e7i | −0.0314330 | + | 0.137717i | ||||
\(552\) | −1.82013e6 | + | 3.15257e6i | −0.0108215 | + | 0.0187433i | ||||
\(553\) | −1.33381e6 | + | 770074.i | −0.00788710 | + | 0.00455362i | ||||
\(554\) | 1.83030e8 | − | 5.64572e7i | 1.07645 | − | 0.332040i | ||||
\(555\) | −6.38815e6 | − | 5.09438e6i | −0.0373677 | − | 0.0297997i | ||||
\(556\) | 6.26822e6 | + | 8.36436e7i | 0.0364687 | + | 0.486641i | ||||
\(557\) | −2.37408e8 | + | 1.14330e8i | −1.37382 | + | 0.661596i | −0.967672 | − | 0.252211i | \(-0.918842\pi\) |
−0.406147 | + | 0.913808i | \(0.633128\pi\) | |||||||
\(558\) | 7.08711e6i | 0.0407912i | ||||||||
\(559\) | 2.65463e7 | − | 1.77121e8i | 0.151974 | − | 1.01399i | ||||
\(560\) | 2.30301e7 | 0.131139 | ||||||||
\(561\) | −3.13383e7 | − | 6.50746e7i | −0.177495 | − | 0.368572i | ||||
\(562\) | −1.65879e8 | + | 1.24309e7i | −0.934507 | + | 0.0700316i | ||||
\(563\) | −9.70356e7 | + | 1.21679e8i | −0.543759 | + | 0.681852i | −0.975463 | − | 0.220163i | \(-0.929341\pi\) |
0.431704 | + | 0.902015i | \(0.357912\pi\) | |||||||
\(564\) | −1.47097e7 | − | 4.76878e7i | −0.0819913 | − | 0.265809i | ||||
\(565\) | −3.12954e7 | − | 5.42052e7i | −0.173514 | − | 0.300535i | ||||
\(566\) | −6.43210e7 | − | 3.71357e7i | −0.354734 | − | 0.204806i | ||||
\(567\) | −1.57869e8 | − | 3.60325e7i | −0.866057 | − | 0.197672i | ||||
\(568\) | −2.74680e8 | + | 4.14014e7i | −1.49893 | + | 0.225928i | ||||
\(569\) | 1.11937e8 | − | 1.03863e8i | 0.607629 | − | 0.563798i | −0.315191 | − | 0.949028i | \(-0.602069\pi\) |
0.922820 | + | 0.385231i | \(0.125878\pi\) | |||||||
\(570\) | −7.84863e6 | − | 9.84187e6i | −0.0423808 | − | 0.0531438i | ||||
\(571\) | −2.18322e7 | + | 3.20219e7i | −0.117270 | + | 0.172004i | −0.880386 | − | 0.474258i | \(-0.842716\pi\) |
0.763115 | + | 0.646262i | \(0.223669\pi\) | |||||||
\(572\) | 1.73712e7 | + | 1.61181e7i | 0.0928202 | + | 0.0861246i | ||||
\(573\) | −6.22412e6 | + | 8.30551e7i | −0.0330837 | + | 0.441471i | ||||
\(574\) | −2.58971e7 | − | 6.59848e7i | −0.136936 | − | 0.348906i | ||||
\(575\) | −557245. | − | 2.44145e6i | −0.00293118 | − | 0.0128423i | ||||
\(576\) | 9.45251e7 | + | 2.91571e7i | 0.494629 | + | 0.152573i | ||||
\(577\) | −1.83701e8 | − | 2.69439e8i | −0.956276 | − | 1.40260i | −0.915001 | − | 0.403451i | \(-0.867811\pi\) |
−0.0412745 | − | 0.999148i | \(-0.513142\pi\) | |||||||
\(578\) | −4.62453e6 | + | 3.06817e7i | −0.0239488 | + | 0.158890i | ||||
\(579\) | 2.21414e8 | + | 8.68986e7i | 1.14069 | + | 0.447690i | ||||
\(580\) | −2.66467e7 | − | 1.28324e7i | −0.136571 | − | 0.0657692i | ||||
\(581\) | −6.34599e7 | + | 1.31776e8i | −0.323572 | + | 0.671904i | ||||
\(582\) | −6.57778e7 | + | 1.67599e8i | −0.333665 | + | 0.850165i | ||||
\(583\) | −4.83720e7 | − | 7.29090e6i | −0.244111 | − | 0.0367939i | ||||
\(584\) | 2.44294e8 | − | 1.66557e8i | 1.22652 | − | 0.836225i | ||||
\(585\) | 1.35144e7 | − | 4.38128e7i | 0.0675042 | − | 0.218843i | ||||
\(586\) | −5.99812e7 | + | 1.36903e7i | −0.298073 | + | 0.0680332i | ||||
\(587\) | 2.43537e8 | − | 9.55811e7i | 1.20407 | − | 0.472561i | 0.323383 | − | 0.946268i | \(-0.395180\pi\) |
0.880682 | + | 0.473707i | \(0.157084\pi\) | |||||||
\(588\) | 5.04151e7 | + | 3.77809e6i | 0.247987 | + | 0.0185840i | ||||
\(589\) | −2.37011e6 | + | 2.55437e6i | −0.0115991 | + | 0.0125008i | ||||
\(590\) | 4.05782e7 | + | 2.76657e7i | 0.197577 | + | 0.134706i | ||||
\(591\) | 2.91999e8 | − | 2.32862e8i | 1.41455 | − | 1.12807i | ||||
\(592\) | −5.35943e6 | − | 5.77609e6i | −0.0258317 | − | 0.0278400i | ||||
\(593\) | 3.70948e7 | + | 2.46108e8i | 0.177889 | + | 1.18022i | 0.882392 | + | 0.470516i | \(0.155932\pi\) |
−0.704503 | + | 0.709701i | \(0.748830\pi\) | |||||||
\(594\) | −6.48335e6 | + | 2.84054e7i | −0.0309343 | + | 0.135532i | ||||
\(595\) | 3.57545e7 | − | 6.19286e7i | 0.169738 | − | 0.293995i | ||||
\(596\) | 3.85131e7 | − | 2.22356e7i | 0.181916 | − | 0.105029i | ||||
\(597\) | 3.07132e8 | − | 9.47375e7i | 1.44345 | − | 0.445245i | ||||
\(598\) | 2.14072e6 | + | 1.70717e6i | 0.0100105 | + | 0.00798312i | ||||
\(599\) | 1.62322e7 | + | 2.16604e8i | 0.0755263 | + | 1.00783i | 0.898278 | + | 0.439428i | \(0.144819\pi\) |
−0.822752 | + | 0.568401i | \(0.807562\pi\) | |||||||
\(600\) | −2.10465e8 | + | 1.01354e8i | −0.974373 | + | 0.469233i | ||||
\(601\) | − | 2.16600e7i | − | 0.0997778i | −0.998755 | − | 0.0498889i | \(-0.984113\pi\) | ||
0.998755 | − | 0.0498889i | \(-0.0158867\pi\) | |||||||
\(602\) | 1.03239e8 | − | 5.97196e7i | 0.473212 | − | 0.273733i | ||||
\(603\) | 5.47266e7 | 0.249601 | ||||||||
\(604\) | −2.06042e7 | − | 4.27851e7i | −0.0935072 | − | 0.194170i | ||||
\(605\) | −8.71545e7 | + | 6.53133e6i | −0.393572 | + | 0.0294941i | ||||
\(606\) | −2.99031e7 | + | 3.74973e7i | −0.134369 | + | 0.168493i | ||||
\(607\) | 8.56879e7 | + | 2.77793e8i | 0.383136 | + | 1.24210i | 0.917803 | + | 0.397035i | \(0.129961\pi\) |
−0.534667 | + | 0.845063i | \(0.679563\pi\) | |||||||
\(608\) | 1.40577e7 | + | 2.43487e7i | 0.0625466 | + | 0.108334i | ||||
\(609\) | −1.46168e8 | − | 8.43902e7i | −0.647144 | − | 0.373629i | ||||
\(610\) | 6.82977e7 | + | 1.55885e7i | 0.300896 | + | 0.0686775i | ||||
\(611\) | −1.27994e8 | + | 1.92920e7i | −0.561133 | + | 0.0845773i | ||||
\(612\) | 3.88016e7 | − | 3.60026e7i | 0.169276 | − | 0.157065i | ||||
\(613\) | 1.49469e8 | + | 1.87428e8i | 0.648887 | + | 0.813679i | 0.992083 | − | 0.125585i | \(-0.0400808\pi\) |
−0.343196 | + | 0.939264i | \(0.611509\pi\) | |||||||
\(614\) | −1.42716e8 | + | 2.09325e8i | −0.616547 | + | 0.904308i | ||||
\(615\) | −6.24904e7 | − | 5.79826e7i | −0.268651 | − | 0.249271i | ||||
\(616\) | −4.06661e6 | + | 5.42651e7i | −0.0173976 | + | 0.232155i | ||||
\(617\) | 3.83993e7 | + | 9.78399e7i | 0.163481 | + | 0.416543i | 0.989016 | − | 0.147808i | \(-0.0472217\pi\) |
−0.825535 | + | 0.564351i | \(0.809126\pi\) | |||||||
\(618\) | 1.40486e7 | + | 6.15509e7i | 0.0595206 | + | 0.260777i | ||||
\(619\) | 2.35615e8 | + | 7.26775e7i | 0.993414 | + | 0.306428i | 0.748513 | − | 0.663120i | \(-0.230768\pi\) |
0.244901 | + | 0.969548i | \(0.421244\pi\) | |||||||
\(620\) | −2.45679e6 | − | 3.60345e6i | −0.0103084 | − | 0.0151197i | ||||
\(621\) | 346432. | − | 2.29842e6i | 0.00144658 | − | 0.00959744i | ||||
\(622\) | −1.35797e8 | − | 5.32963e7i | −0.564311 | − | 0.221476i | ||||
\(623\) | 1.23534e8 | + | 5.94911e7i | 0.510886 | + | 0.246030i | ||||
\(624\) | 5.64934e7 | − | 1.17310e8i | 0.232511 | − | 0.482814i | ||||
\(625\) | 4.18793e7 | − | 1.06707e8i | 0.171538 | − | 0.437071i | ||||
\(626\) | 3.45897e8 | + | 5.21356e7i | 1.41001 | + | 0.212526i | ||||
\(627\) | 1.25284e7 | − | 8.54168e6i | 0.0508266 | − | 0.0346530i | ||||
\(628\) | −2.67597e7 | + | 8.67530e7i | −0.108045 | + | 0.350272i | ||||
\(629\) | −2.38526e7 | + | 5.44421e6i | −0.0958483 | + | 0.0218767i | ||||
\(630\) | 2.84222e7 | − | 1.11549e7i | 0.113667 | − | 0.0446112i | ||||
\(631\) | 6.40203e7 | + | 4.79766e6i | 0.254818 | + | 0.0190960i | 0.201527 | − | 0.979483i | \(-0.435410\pi\) |
0.0532913 | + | 0.998579i | \(0.483029\pi\) | |||||||
\(632\) | −2.38320e6 | + | 2.56848e6i | −0.00944083 | + | 0.0101748i | ||||
\(633\) | 2.45923e8 | + | 1.67668e8i | 0.969591 | + | 0.661056i | ||||
\(634\) | 7.00894e7 | − | 5.58945e7i | 0.275033 | − | 0.219331i | ||||
\(635\) | 8.54739e7 | + | 9.21190e7i | 0.333820 | + | 0.359773i | ||||
\(636\) | −1.57342e7 | − | 1.04389e8i | −0.0611607 | − | 0.405775i | ||||
\(637\) | 2.91791e7 | − | 1.27842e8i | 0.112889 | − | 0.494601i | ||||
\(638\) | −2.57988e7 | + | 4.46848e7i | −0.0993429 | + | 0.172067i | ||||
\(639\) | −1.62589e8 | + | 9.38707e7i | −0.623143 | + | 0.359772i | ||||
\(640\) | 1.92116e6 | − | 592599.i | 0.00732863 | − | 0.00226058i | ||||
\(641\) | 3.69376e8 | + | 2.94567e8i | 1.40247 | + | 1.11843i | 0.976946 | + | 0.213488i | \(0.0684824\pi\) |
0.425526 | + | 0.904946i | \(0.360089\pi\) | |||||||
\(642\) | 2.74549e7 | + | 3.66360e8i | 0.103756 | + | 1.38453i | ||||
\(643\) | 2.18714e8 | − | 1.05327e8i | 0.822702 | − | 0.396193i | 0.0253292 | − | 0.999679i | \(-0.491937\pi\) |
0.797373 | + | 0.603487i | \(0.206222\pi\) | |||||||
\(644\) | − | 1.25894e6i | − | 0.00471355i | ||||||
\(645\) | 8.07002e7 | − | 1.18577e8i | 0.300743 | − | 0.441896i | ||||
\(646\) | −3.76935e7 | −0.139820 | ||||||||
\(647\) | −1.50974e8 | − | 3.13500e8i | −0.557428 | − | 1.15751i | −0.969212 | − | 0.246229i | \(-0.920809\pi\) |
0.411784 | − | 0.911281i | \(-0.364906\pi\) | |||||||
\(648\) | −3.67356e8 | + | 2.75295e7i | −1.35009 | + | 0.101175i | ||||
\(649\) | −3.68842e7 | + | 4.62513e7i | −0.134929 | + | 0.169196i | ||||
\(650\) | 5.17898e7 | + | 1.67898e8i | 0.188584 | + | 0.611373i | ||||
\(651\) | −1.24443e7 | − | 2.15542e7i | −0.0451054 | − | 0.0781249i | ||||
\(652\) | −1.24336e8 | − | 7.17856e7i | −0.448596 | − | 0.258997i | ||||
\(653\) | −3.23308e8 | − | 7.37929e7i | −1.16112 | − | 0.265018i | −0.401794 | − | 0.915730i | \(-0.631613\pi\) |
−0.759325 | + | 0.650712i | \(0.774470\pi\) | |||||||
\(654\) | −4.34025e8 | + | 6.54187e7i | −1.55161 | + | 0.233867i | ||||
\(655\) | 1.25000e8 | − | 1.15983e8i | 0.444823 | − | 0.412735i | ||||
\(656\) | −5.12561e7 | − | 6.42732e7i | −0.181566 | − | 0.227676i | ||||
\(657\) | 1.12568e8 | − | 1.65107e8i | 0.396935 | − | 0.582197i | ||||
\(658\) | −6.31877e7 | − | 5.86296e7i | −0.221797 | − | 0.205797i | ||||
\(659\) | 4.42729e6 | − | 5.90781e7i | 0.0154697 | − | 0.206429i | −0.984113 | − | 0.177543i | \(-0.943185\pi\) |
0.999583 | − | 0.0288857i | \(-0.00919588\pi\) | |||||||
\(660\) | 6.93346e6 | + | 1.76662e7i | 0.0241167 | + | 0.0614484i | ||||
\(661\) | 8.00106e7 | + | 3.50549e8i | 0.277040 | + | 1.21379i | 0.901515 | + | 0.432748i | \(0.142456\pi\) |
−0.624474 | + | 0.781045i | \(0.714687\pi\) | |||||||
\(662\) | 1.54353e8 | + | 4.76117e7i | 0.532037 | + | 0.164112i | ||||
\(663\) | −2.27742e8 | − | 3.34037e8i | −0.781453 | − | 1.14618i | ||||
\(664\) | −4.95924e7 | + | 3.29024e8i | −0.169399 | + | 1.12389i | ||||
\(665\) | 1.39746e7 | + | 5.48461e6i | 0.0475196 | + | 0.0186501i | ||||
\(666\) | −9.41196e6 | − | 4.53256e6i | −0.0318609 | − | 0.0153434i | ||||
\(667\) | 1.78600e6 | − | 3.70867e6i | 0.00601872 | − | 0.0124980i | ||||
\(668\) | −1.05415e6 | + | 2.68593e6i | −0.00353650 | + | 0.00901085i | ||||
\(669\) | −3.10142e8 | − | 4.67464e7i | −1.03582 | − | 0.156124i | ||||
\(670\) | 4.03013e7 | − | 2.74770e7i | 0.133997 | − | 0.0913575i | ||||
\(671\) | −2.48725e7 | + | 8.06345e7i | −0.0823287 | + | 0.266903i | ||||
\(672\) | −1.95780e8 | + | 4.46856e7i | −0.645151 | + | 0.147252i | ||||
\(673\) | 1.85131e8 | − | 7.26584e7i | 0.607342 | − | 0.238364i | −0.0416835 | − | 0.999131i | \(-0.513272\pi\) |
0.649025 | + | 0.760767i | \(0.275177\pi\) | |||||||
\(674\) | −1.12059e8 | − | 8.39764e6i | −0.365987 | − | 0.0274269i | ||||
\(675\) | 1.01453e8 | − | 1.09340e8i | 0.329877 | − | 0.355523i | ||||
\(676\) | 5.34501e6 | + | 3.64416e6i | 0.0173025 | + | 0.0117966i | ||||
\(677\) | 7.92654e7 | − | 6.32120e7i | 0.255457 | − | 0.203720i | −0.487385 | − | 0.873187i | \(-0.662049\pi\) |
0.742841 | + | 0.669467i | \(0.233478\pi\) | |||||||
\(678\) | −1.60283e8 | − | 1.72744e8i | −0.514278 | − | 0.554260i | ||||
\(679\) | −3.20017e7 | − | 2.12318e8i | −0.102227 | − | 0.678229i | ||||
\(680\) | 3.62002e7 | − | 1.58603e8i | 0.115129 | − | 0.504413i | ||||
\(681\) | −4.90098e7 | + | 8.48874e7i | −0.155182 | + | 0.268783i | ||||
\(682\) | −6.58929e6 | + | 3.80433e6i | −0.0207723 | + | 0.0119929i | ||||
\(683\) | −1.72203e8 | + | 5.31175e7i | −0.540477 | + | 0.166715i | −0.552961 | − | 0.833207i | \(-0.686502\pi\) |
0.0124840 | + | 0.999922i | \(0.496026\pi\) | |||||||
\(684\) | 8.68790e6 | + | 6.92837e6i | 0.0271485 | + | 0.0216502i | ||||
\(685\) | 552165. | + | 7.36813e6i | 0.00171790 | + | 0.0229238i | ||||
\(686\) | 2.37683e8 | − | 1.14462e8i | 0.736249 | − | 0.354559i | ||||
\(687\) | 3.27210e7i | 0.100915i | ||||||||
\(688\) | 9.39976e7 | − | 1.01474e8i | 0.288637 | − | 0.311594i | ||||
\(689\) | −2.73816e8 | −0.837145 | ||||||||
\(690\) | 951428. | + | 1.97566e6i | 0.00289620 | + | 0.00601402i | ||||
\(691\) | −3.31711e8 | + | 2.48583e7i | −1.00537 | + | 0.0753420i | −0.567225 | − | 0.823563i | \(-0.691983\pi\) |
−0.438144 | + | 0.898905i | \(0.644364\pi\) | |||||||
\(692\) | 1.19545e8 | − | 1.49904e8i | 0.360754 | − | 0.452372i | ||||
\(693\) | 1.08406e7 | + | 3.51443e7i | 0.0325726 | + | 0.105598i | ||||
\(694\) | −1.73802e8 | − | 3.01034e8i | −0.519968 | − | 0.900611i | ||||
\(695\) | 1.50890e8 | + | 8.71161e7i | 0.449474 | + | 0.259504i | ||||
\(696\) | −3.74347e8 | − | 8.54423e7i | −1.11032 | − | 0.253422i | ||||
\(697\) | −2.52408e8 | + | 3.80444e7i | −0.745426 | + | 0.112355i | ||||
\(698\) | −4.54642e7 | + | 4.21846e7i | −0.133691 | + | 0.124048i | ||||
\(699\) | 1.02384e8 | + | 1.28386e8i | 0.299779 | + | 0.375911i | ||||
\(700\) | 4.55089e7 | − | 6.67493e7i | 0.132679 | − | 0.194604i | ||||
\(701\) | −2.25220e8 | − | 2.08973e8i | −0.653811 | − | 0.606648i | 0.281888 | − | 0.959447i | \(-0.409039\pi\) |
−0.935699 | + | 0.352799i | \(0.885230\pi\) | |||||||
\(702\) | −1.21874e7 | + | 1.62629e8i | −0.0352289 | + | 0.470097i | ||||
\(703\) | −1.87650e6 | − | 4.78125e6i | −0.00540111 | − | 0.0137618i | ||||
\(704\) | 2.36316e7 | + | 1.03537e8i | 0.0677291 | + | 0.296740i | ||||
\(705\) | −9.90575e7 | − | 3.05552e7i | −0.282696 | − | 0.0872002i | ||||
\(706\) | −6.90886e7 | − | 1.01334e8i | −0.196332 | − | 0.287967i | ||||
\(707\) | 8.52470e6 | − | 5.65577e7i | 0.0241224 | − | 0.160042i | ||||
\(708\) | −1.18840e8 | − | 4.66414e7i | −0.334861 | − | 0.131423i | ||||
\(709\) | 4.36522e8 | + | 2.10218e8i | 1.22481 | + | 0.589835i | 0.930646 | − | 0.365921i | \(-0.119246\pi\) |
0.294159 | + | 0.955756i | \(0.404960\pi\) | |||||||
\(710\) | −7.26019e7 | + | 1.50759e8i | −0.202849 | + | 0.421220i | ||||
\(711\) | −865157. | + | 2.20438e6i | −0.00240705 | + | 0.00613308i | ||||
\(712\) | 3.08447e8 | + | 4.64908e7i | 0.854555 | + | 0.128803i | ||||
\(713\) | 501526. | − | 341934.i | 0.00138364 | − | 0.000943353i | ||||
\(714\) | 7.93560e7 | − | 2.57266e8i | 0.218014 | − | 0.706786i | ||||
\(715\) | 4.79897e7 | − | 1.09533e7i | 0.131289 | − | 0.0299660i | ||||
\(716\) | 2.58274e8 | − | 1.01365e8i | 0.703625 | − | 0.276152i | ||||
\(717\) | 1.76171e8 | + | 1.32022e7i | 0.477945 | + | 0.0358170i | ||||
\(718\) | 3.89092e7 | − | 4.19341e7i | 0.105118 | − | 0.113291i | ||||
\(719\) | 2.63222e8 | + | 1.79462e8i | 0.708168 | + | 0.482821i | 0.863054 | − | 0.505112i | \(-0.168549\pi\) |
−0.154886 | + | 0.987932i | \(0.549501\pi\) | |||||||
\(720\) | 2.76849e7 | − | 2.20780e7i | 0.0741730 | − | 0.0591510i | ||||
\(721\) | −5.12110e7 | − | 5.51924e7i | −0.136634 | − | 0.147256i | ||||
\(722\) | 4.19646e7 | + | 2.78417e8i | 0.111499 | + | 0.739749i | ||||
\(723\) | 1.86034e8 | − | 8.15068e8i | 0.492240 | − | 2.15665i | ||||
\(724\) | 4.33411e7 | − | 7.50690e7i | 0.114205 | − | 0.197809i | ||||
\(725\) | 2.28757e8 | − | 1.32073e8i | 0.600289 | − | 0.346577i | ||||
\(726\) | −3.14433e8 | + | 9.69897e7i | −0.821709 | + | 0.253464i | ||||
\(727\) | 3.85352e8 | + | 3.07308e8i | 1.00289 | + | 0.799781i | 0.979806 | − | 0.199953i | \(-0.0640788\pi\) |
0.0230878 | + | 0.999733i | \(0.492650\pi\) | |||||||
\(728\) | 2.27624e7 | + | 3.03744e8i | 0.0589963 | + | 0.787251i | ||||
\(729\) | 3.24430e7 | − | 1.56237e7i | 0.0837410 | − | 0.0403275i | ||||
\(730\) | − | 1.78105e8i | − | 0.457833i | ||||||
\(731\) | −1.26934e8 | − | 4.10301e8i | −0.324957 | − | 1.05039i | ||||
\(732\) | −1.82104e8 | −0.464287 | ||||||||
\(733\) | 2.68454e8 | + | 5.57451e8i | 0.681645 | + | 1.41545i | 0.898379 | + | 0.439220i | \(0.144745\pi\) |
−0.216734 | + | 0.976231i | \(0.569540\pi\) | |||||||
\(734\) | 1.02719e8 | − | 7.69775e6i | 0.259755 | − | 0.0194660i | ||||
\(735\) | 6.54765e7 | − | 8.21050e7i | 0.164901 | − | 0.206780i | ||||
\(736\) | −1.44359e6 | − | 4.68001e6i | −0.00362085 | − | 0.0117385i | ||||
\(737\) | 2.93770e7 | + | 5.08825e7i | 0.0733846 | + | 0.127106i | ||||
\(738\) | −9.43882e7 | − | 5.44951e7i | −0.234827 | − | 0.135578i | ||||
\(739\) | −5.26805e8 | − | 1.20240e8i | −1.30532 | − | 0.297931i | −0.487357 | − | 0.873203i | \(-0.662039\pi\) |
−0.817962 | + | 0.575272i | \(0.804896\pi\) | |||||||
\(740\) | 6.35676e6 | − | 958127.i | 0.0156870 | − | 0.00236444i | ||||
\(741\) | 6.22171e7 | − | 5.77290e7i | 0.152917 | − | 0.141886i | ||||
\(742\) | −1.13689e8 | − | 1.42561e8i | −0.278296 | − | 0.348972i | ||||
\(743\) | −1.79592e8 | + | 2.63414e8i | −0.437846 | + | 0.642203i | −0.980214 | − | 0.197938i | \(-0.936575\pi\) |
0.542368 | + | 0.840141i | \(0.317528\pi\) | |||||||
\(744\) | −4.15065e7 | − | 3.85124e7i | −0.100785 | − | 0.0935151i | ||||
\(745\) | 6.90325e6 | − | 9.21174e7i | 0.0166949 | − | 0.222778i | ||||
\(746\) | 9.07353e7 | + | 2.31190e8i | 0.218555 | + | 0.556868i | ||||
\(747\) | 5.00416e7 | + | 2.19246e8i | 0.120052 | + | 0.525982i | ||||
\(748\) | 5.43022e7 | + | 1.67500e7i | 0.129752 | + | 0.0400230i | ||||
\(749\) | −2.46809e8 | − | 3.62003e8i | −0.587376 | − | 0.861522i | ||||
\(750\) | −4.68225e7 | + | 3.10647e8i | −0.110987 | + | 0.736348i | ||||
\(751\) | −5.60970e7 | − | 2.20164e7i | −0.132440 | − | 0.0519789i | 0.298195 | − | 0.954505i | \(-0.403615\pi\) |
−0.430636 | + | 0.902526i | \(0.641711\pi\) | |||||||
\(752\) | −9.00681e7 | − | 4.33745e7i | −0.211796 | − | 0.101996i | ||||
\(753\) | 3.98828e8 | − | 8.28175e8i | 0.934116 | − | 1.93971i | ||||
\(754\) | −1.05515e8 | + | 2.68848e8i | −0.246150 | + | 0.627180i | ||||
\(755\) | −9.75403e7 | − | 1.47018e7i | −0.226644 | − | 0.0341610i | ||||
\(756\) | 6.19554e7 | − | 4.22405e7i | 0.143388 | − | 0.0977606i | ||||
\(757\) | −8.99361e7 | + | 2.91566e8i | −0.207322 | + | 0.672123i | 0.790868 | + | 0.611987i | \(0.209630\pi\) |
−0.998190 | + | 0.0601357i | \(0.980847\pi\) | |||||||
\(758\) | −2.27926e8 | + | 5.20226e7i | −0.523343 | + | 0.119450i | ||||
\(759\) | −2.45877e6 | + | 964995.i | −0.00562331 | + | 0.00220699i | ||||
\(760\) | 3.40573e7 | + | 2.55224e6i | 0.0775836 | + | 0.00581409i | ||||
\(761\) | −2.46283e8 | + | 2.65430e8i | −0.558831 | + | 0.602276i | −0.947757 | − | 0.318993i | \(-0.896655\pi\) |
0.388927 | + | 0.921269i | \(0.372846\pi\) | |||||||
\(762\) | 3.90911e8 | + | 2.66519e8i | 0.883514 | + | 0.602370i | ||||
\(763\) | 4.09250e8 | − | 3.26366e8i | 0.921329 | − | 0.734735i | ||||
\(764\) | −4.45711e7 | − | 4.80362e7i | −0.0999478 | − | 0.107718i | ||||
\(765\) | −1.63872e7 | − | 1.08722e8i | −0.0366032 | − | 0.242847i | ||||
\(766\) | 8.44347e7 | − | 3.69932e8i | 0.187860 | − | 0.823069i | ||||
\(767\) | −1.65565e8 | + | 2.86766e8i | −0.366928 | + | 0.635539i | ||||
\(768\) | −4.79391e8 | + | 2.76776e8i | −1.05829 | + | 0.611006i | ||||
\(769\) | −5.27625e8 | + | 1.62751e8i | −1.16024 | + | 0.357885i | −0.814340 | − | 0.580388i | \(-0.802901\pi\) |
−0.345896 | + | 0.938273i | \(0.612425\pi\) | |||||||
\(770\) | 2.56282e7 | + | 2.04378e7i | 0.0561367 | + | 0.0447675i | ||||
\(771\) | 4.95416e7 | + | 6.61086e8i | 0.108095 | + | 1.44243i | ||||
\(772\) | −1.68607e8 | + | 8.11969e7i | −0.366458 | + | 0.176477i | ||||
\(773\) | − | 6.85694e8i | − | 1.48454i | −0.670101 | − | 0.742270i | \(-0.733749\pi\) | ||
0.670101 | − | 0.742270i | \(-0.266251\pi\) | |||||||
\(774\) | 6.68553e7 | − | 1.70761e8i | 0.144183 | − | 0.368270i | ||||
\(775\) | 3.89514e7 | 0.0836793 | ||||||||
\(776\) | −2.11942e8 | − | 4.40102e8i | −0.453557 | − | 0.941820i | ||||
\(777\) | 3.65836e7 | − | 2.74156e6i | 0.0779872 | − | 0.00584433i | ||||
\(778\) | 5.62010e7 | − | 7.04738e7i | 0.119345 | − | 0.149654i | ||||
\(779\) | −1.57953e7 | − | 5.12072e7i | −0.0334131 | − | 0.108323i | ||||
\(780\) | 5.31139e7 | + | 9.19960e7i | 0.111924 | + | 0.193859i | ||||
\(781\) | −1.74554e8 | − | 1.00779e8i | −0.366417 | − | 0.211551i | ||||
\(782\) | 6.40143e6 | + | 1.46109e6i | 0.0133862 | + | 0.00305531i | ||||
\(783\) | 2.42437e8 | − | 3.65415e7i | 0.505026 | − | 0.0761203i | ||||
\(784\) | 7.42384e7 | − | 6.88832e7i | 0.154057 | − | 0.142944i | ||||
\(785\) | 1.17579e8 | + | 1.47439e8i | 0.243064 | + | 0.304793i | ||||
\(786\) | 3.61651e8 | − | 5.30444e8i | 0.744769 | − | 1.09238i | ||||
\(787\) | −3.85729e8 | − | 3.57904e8i | −0.791330 | − | 0.734247i | 0.176921 | − | 0.984225i | \(-0.443386\pi\) |
−0.968252 | + | 0.249978i | \(0.919577\pi\) | |||||||
\(788\) | −2.19592e7 | + | 2.93025e8i | −0.0448784 | + | 0.598861i | ||||
\(789\) | 3.20577e8 | + | 8.16818e8i | 0.652682 | + | 1.66301i | ||||
\(790\) | 469658. | + | 2.05771e6i | 0.000952578 | + | 0.00417352i | ||||
\(791\) | 2.68543e8 | + | 8.28347e7i | 0.542607 | + | 0.167372i | ||||
\(792\) | 4.71331e7 | + | 6.91315e7i | 0.0948747 | + | 0.139156i | ||||
\(793\) | −7.03969e7 | + | 4.67053e8i | −0.141167 | + | 0.936583i | ||||
\(794\) | −2.14559e7 | − | 8.42082e6i | −0.0428633 | − | 0.0168226i | ||||
\(795\) | −1.97571e8 | − | 9.51453e7i | −0.393208 | − | 0.189359i | ||||
\(796\) | −1.09720e8 | + | 2.27836e8i | −0.217544 | + | 0.451734i | ||||
\(797\) | −4.77737e7 | + | 1.21725e8i | −0.0943656 | + | 0.240440i | −0.970261 | − | 0.242062i | \(-0.922176\pi\) |
0.875895 | + | 0.482501i | \(0.160272\pi\) | |||||||
\(798\) | 5.58891e7 | + | 8.42393e6i | 0.109981 | + | 0.0165770i | ||||
\(799\) | −2.56467e8 | + | 1.74856e8i | −0.502795 | + | 0.342800i | ||||
\(800\) | 9.26360e7 | − | 3.00319e8i | 0.180930 | − | 0.586560i | ||||
\(801\) | 2.05535e8 | − | 4.69119e7i | 0.399933 | − | 0.0912821i | ||||
\(802\) | 4.67161e8 | − | 1.83347e8i | 0.905614 | − | 0.355427i | ||||
\(803\) | 2.13936e8 | + | 1.60323e7i | 0.413178 | + | 0.0309634i | ||||
\(804\) | −8.62421e7 | + | 9.29469e7i | −0.165940 | + | 0.178841i | ||||
\(805\) | −2.16068e6 | − | 1.47313e6i | −0.00414193 | − | 0.00282392i | ||||
\(806\) | −3.32972e7 | + | 2.65536e7i | −0.0635920 | + | 0.0507130i | ||||
\(807\) | 7.20612e8 | + | 7.76636e8i | 1.37114 | + | 1.47774i | ||||
\(808\) | −1.93936e7 | − | 1.28668e8i | −0.0367642 | − | 0.243914i | ||||
\(809\) | 1.24010e8 | − | 5.43323e8i | 0.234213 | − | 1.02615i | −0.711891 | − | 0.702290i | \(-0.752161\pi\) |
0.946104 | − | 0.323863i | \(-0.104982\pi\) | |||||||
\(810\) | −1.10954e8 | + | 1.92177e8i | −0.208779 | + | 0.361616i | ||||
\(811\) | −5.06928e8 | + | 2.92675e8i | −0.950351 | + | 0.548685i | −0.893190 | − | 0.449679i | \(-0.851538\pi\) |
−0.0571612 | + | 0.998365i | \(0.518205\pi\) | |||||||
\(812\) | 1.26893e8 | − | 3.91413e7i | 0.237012 | − | 0.0731084i | ||||
\(813\) | 8.93746e8 | + | 7.12739e8i | 1.66319 | + | 1.32635i | ||||
\(814\) | −838117. | − | 1.11839e7i | −0.00155393 | − | 0.0207358i | ||||
\(815\) | −2.68693e8 | + | 1.29396e8i | −0.496345 | + | 0.239027i | ||||
\(816\) | − | 3.12235e8i | − | 0.574660i | ||||||
\(817\) | 8.12032e7 | − | 3.91884e7i | 0.148904 | − | 0.0718608i | ||||
\(818\) | 4.08682e8 | 0.746665 | ||||||||
\(819\) | 8.93205e7 | + | 1.85476e8i | 0.162592 | + | 0.337626i | ||||
\(820\) | 6.68828e7 | − | 5.01217e6i | 0.121303 | − | 0.00909043i | ||||
\(821\) | −6.09257e7 | + | 7.63984e7i | −0.110096 | + | 0.138056i | −0.833826 | − | 0.552027i | \(-0.813855\pi\) |
0.723730 | + | 0.690083i | \(0.242426\pi\) | |||||||
\(822\) | 8.19961e6 | + | 2.65825e7i | 0.0147631 | + | 0.0478608i | ||||
\(823\) | −9.71037e7 | − | 1.68189e8i | −0.174195 | − | 0.301715i | 0.765687 | − | 0.643213i | \(-0.222399\pi\) |
−0.939882 | + | 0.341498i | \(0.889066\pi\) | |||||||
\(824\) | −1.48339e8 | − | 8.56434e7i | −0.265139 | − | 0.153078i | ||||
\(825\) | −1.65247e8 | − | 3.77166e7i | −0.294288 | − | 0.0671694i | ||||
\(826\) | −2.18047e8 | + | 3.28653e7i | −0.386910 | + | 0.0583172i | ||||
\(827\) | −3.52245e8 | + | 3.26836e8i | −0.622771 | + | 0.577847i | −0.927144 | − | 0.374706i | \(-0.877744\pi\) |
0.304373 | + | 0.952553i | \(0.401553\pi\) | |||||||
\(828\) | −1.20689e6 | − | 1.51340e6i | −0.00212607 | − | 0.00266601i | ||||
\(829\) | −2.43793e8 | + | 3.57579e8i | −0.427916 | + | 0.627637i | −0.978280 | − | 0.207287i | \(-0.933537\pi\) |
0.550364 | + | 0.834925i | \(0.314489\pi\) | |||||||
\(830\) | 1.46930e8 | + | 1.36331e8i | 0.256966 | + | 0.238429i | ||||
\(831\) | −7.72894e7 | + | 1.03136e9i | −0.134684 | + | 1.79724i | ||||
\(832\) | 2.17174e8 | + | 5.53350e8i | 0.377083 | + | 0.960793i | ||||
\(833\) | −6.99728e7 | − | 3.06571e8i | −0.121058 | − | 0.530391i | ||||
\(834\) | 6.26831e8 | + | 1.93352e8i | 1.08057 | + | 0.333311i | ||||
\(835\) | 3.37629e6 | + | 4.95210e6i | 0.00579936 | + | 0.00850609i | ||||
\(836\) | −1.77807e6 | + | 1.17967e7i | −0.00304320 | + | 0.0201903i | ||||
\(837\) | 3.36548e7 | + | 1.32085e7i | 0.0573945 | + | 0.0225257i | ||||
\(838\) | −3.31006e8 | − | 1.59404e8i | −0.562475 | − | 0.270874i | ||||
\(839\) | 1.78333e8 | − | 3.70311e8i | 0.301957 | − | 0.627020i | −0.693685 | − | 0.720278i | \(-0.744014\pi\) |
0.995642 | + | 0.0932587i | \(0.0297284\pi\) | |||||||
\(840\) | −8.91204e7 | + | 2.27075e8i | −0.150362 | + | 0.383117i | ||||
\(841\) | −1.58842e8 | − | 2.39416e7i | −0.267041 | − | 0.0402500i | ||||
\(842\) | −7.05627e7 | + | 4.81088e7i | −0.118206 | + | 0.0805914i | ||||
\(843\) | 2.64749e8 | − | 8.58297e8i | 0.441929 | − | 1.43270i | ||||
\(844\) | −2.28307e8 | + | 5.21095e7i | −0.379744 | + | 0.0866741i | ||||
\(845\) | 1.25087e7 | − | 4.90931e6i | 0.0207321 | − | 0.00813674i | ||||
\(846\) | −1.32165e8 | − | 9.90438e6i | −0.218275 | − | 0.0163575i | ||||
\(847\) | 2.66911e8 | − | 2.87661e8i | 0.439254 | − | 0.473403i | ||||
\(848\) | −1.74726e8 | − | 1.19126e8i | −0.286530 | − | 0.195353i | ||||
\(849\) | 3.13546e8 | − | 2.50045e8i | 0.512364 | − | 0.408596i | ||||
\(850\) | 2.86589e8 | + | 3.08869e8i | 0.466662 | + | 0.502942i | ||||
\(851\) | 133352. | + | 884730.i | 0.000216376 | + | 0.00143556i | ||||
\(852\) | 9.67904e7 | − | 4.24066e8i | 0.156500 | − | 0.685670i | ||||
\(853\) | −5.63636e8 | + | 9.76246e8i | −0.908137 | + | 1.57294i | −0.0914880 | + | 0.995806i | \(0.529162\pi\) |
−0.816649 | + | 0.577134i | \(0.804171\pi\) | |||||||
\(854\) | −2.72399e8 | + | 1.57269e8i | −0.437352 | + | 0.252505i | ||||
\(855\) | 2.20569e7 | − | 6.80366e6i | 0.0352896 | − | 0.0108854i | ||||
\(856\) | −7.79290e8 | − | 6.21463e8i | −1.24245 | − | 0.990818i | ||||
\(857\) | −4.77047e7 | − | 6.36574e8i | −0.0757911 | − | 1.01136i | −0.897373 | − | 0.441272i | \(-0.854527\pi\) |
0.821582 | − | 0.570090i | \(-0.193092\pi\) | |||||||
\(858\) | 1.66972e8 | − | 8.04094e7i | 0.264351 | − | 0.127305i | ||||
\(859\) | − | 3.00288e8i | − | 0.473760i | −0.971539 | − | 0.236880i | \(-0.923875\pi\) | ||
0.971539 | − | 0.236880i | \(-0.0761248\pi\) | |||||||
\(860\) | 2.52027e7 | + | 1.09999e8i | 0.0396234 | + | 0.172940i | ||||
\(861\) | 3.82754e8 | 0.599667 | ||||||||
\(862\) | 1.78746e8 | + | 3.71169e8i | 0.279070 | + | 0.579496i | ||||
\(863\) | 4.42018e8 | − | 3.31247e7i | 0.687714 | − | 0.0515371i | 0.273710 | − | 0.961812i | \(-0.411749\pi\) |
0.414004 | + | 0.910275i | \(0.364130\pi\) | |||||||
\(864\) | 1.81878e8 | − | 2.28068e8i | 0.281994 | − | 0.353609i | ||||
\(865\) | −1.17393e8 | − | 3.80578e8i | −0.181382 | − | 0.588025i | ||||
\(866\) | 1.02260e7 | + | 1.77120e7i | 0.0157454 | + | 0.0272718i | ||||
\(867\) | −1.45096e8 | − | 8.37711e7i | −0.222637 | − | 0.128540i | ||||
\(868\) | 1.90909e7 | + | 4.35737e6i | 0.0291922 | + | 0.00666293i | ||||
\(869\) | −2.51395e6 | + | 378917.i | −0.00383087 | + | 0.000577411i | ||||
\(870\) | −1.69553e8 | + | 1.57322e8i | −0.257483 | + | 0.238909i | ||||
\(871\) | 2.05047e8 | + | 2.57121e8i | 0.310312 | + | 0.389119i | ||||
\(872\) | 6.70826e8 | − | 9.83921e8i | 1.01172 | − | 1.48392i | ||||
\(873\) | −2.42010e8 | − | 2.24552e8i | −0.363739 | − | 0.337500i | ||||
\(874\) | −103012. | + | 1.37460e6i | −0.000154295 | + | 0.00205893i | ||||
\(875\) | −1.36876e8 | − | 3.48753e8i | −0.204316 | − | 0.520588i | ||||
\(876\) | 1.03023e8 | + | 4.51372e8i | 0.153257 | + | 0.671463i | ||||
\(877\) | 1.17631e9 | + | 3.62842e8i | 1.74390 | + | 0.537922i | 0.992534 | − | 0.121965i | \(-0.0389196\pi\) |
0.751365 | + | 0.659887i | \(0.229396\pi\) | |||||||
\(878\) | −2.91162e8 | − | 4.27056e8i | −0.430181 | − | 0.630960i | ||||
\(879\) | 4.95129e7 | − | 3.28497e8i | 0.0729041 | − | 0.483687i | ||||
\(880\) | 3.53883e7 | + | 1.38889e7i | 0.0519292 | + | 0.0203807i | ||||
\(881\) | −1.15724e9 | − | 5.57297e8i | −1.69237 | − | 0.815002i | −0.995175 | − | 0.0981199i | \(-0.968717\pi\) |
−0.697194 | − | 0.716882i | \(-0.745569\pi\) | |||||||
\(882\) | 5.82557e7 | − | 1.20969e8i | 0.0849049 | − | 0.176307i | ||||
\(883\) | 4.64269e8 | − | 1.18294e9i | 0.674353 | − | 1.71822i | −0.0212266 | − | 0.999775i | \(-0.506757\pi\) |
0.695580 | − | 0.718449i | \(-0.255148\pi\) | |||||||
\(884\) | 3.14530e8 | + | 4.74078e7i | 0.455308 | + | 0.0686267i | ||||
\(885\) | −2.19108e8 | + | 1.49385e8i | −0.316103 | + | 0.215515i | ||||
\(886\) | −1.31228e8 | + | 4.25429e8i | −0.188679 | + | 0.611682i | ||||
\(887\) | −1.16794e9 | + | 2.66574e8i | −1.67359 | + | 0.381985i | −0.950975 | − | 0.309269i | \(-0.899916\pi\) |
−0.722612 | + | 0.691254i | \(0.757058\pi\) | |||||||
\(888\) | 7.76914e7 | − | 3.04916e7i | 0.110952 | − | 0.0435453i | ||||
\(889\) | −5.62651e8 | − | 4.21649e7i | −0.800818 | − | 0.0600130i | ||||
\(890\) | 1.27805e8 | − | 1.37741e8i | 0.181291 | − | 0.195385i | ||||
\(891\) | −2.20852e8 | − | 1.50574e8i | −0.312225 | − | 0.212872i | ||||
\(892\) | 1.92932e8 | − | 1.53858e8i | 0.271838 | − | 0.216783i | ||||
\(893\) | −4.43232e7 | − | 4.77691e7i | −0.0622410 | − | 0.0670799i | ||||
\(894\) | −5.18353e7 | − | 3.43905e8i | −0.0725459 | − | 0.481311i | ||||
\(895\) | 1.28245e8 | − | 5.61877e8i | 0.178884 | − | 0.783740i | ||||
\(896\) | −4.51346e6 | + | 7.81755e6i | −0.00627460 | + | 0.0108679i | ||||
\(897\) | −1.28039e7 | + | 7.39236e6i | −0.0177405 | + | 0.0102425i | ||||
\(898\) | −4.47156e8 | + | 1.37929e8i | −0.617490 | + | 0.190470i | ||||
\(899\) | 5.00575e7 | + | 3.99195e7i | 0.0688954 | + | 0.0549422i | ||||
\(900\) | −9.28262e6 | − | 1.23868e8i | −0.0127334 | − | 0.169915i | ||||
\(901\) | −5.91597e8 | + | 2.84898e8i | −0.808819 | + | 0.389507i | ||||
\(902\) | − | 1.17011e8i | − | 0.159443i | ||||||
\(903\) | 9.65124e7 | + | 6.36732e8i | 0.131075 | + | 0.864756i | ||||
\(904\) | 6.39338e8 | 0.865416 | ||||||||
\(905\) | −7.81237e7 | − | 1.62226e8i | −0.105399 | − | 0.218864i | ||||
\(906\) | −3.70343e8 | + | 2.77534e7i | −0.497989 | + | 0.0373191i | ||||
\(907\) | 6.42500e8 | − | 8.05670e8i | 0.861096 | − | 1.07978i | −0.134942 | − | 0.990853i | \(-0.543085\pi\) |
0.996038 | − | 0.0889264i | \(-0.0283436\pi\) | |||||||
\(908\) | −2.27314e7 | − | 7.36934e7i | −0.0303647 | − | 0.0984398i | ||||
\(909\) | −4.39718e7 | − | 7.61613e7i | −0.0585440 | − | 0.101401i | ||||
\(910\) | 1.58900e8 | + | 9.17408e7i | 0.210862 | + | 0.121741i | ||||
\(911\) | −1.38433e9 | − | 3.15963e8i | −1.83098 | − | 0.417909i | −0.838981 | − | 0.544161i | \(-0.816848\pi\) |
−0.991998 | + | 0.126252i | \(0.959705\pi\) | |||||||
\(912\) | 6.48172e7 | − | 9.76962e6i | 0.0854488 | − | 0.0128793i | ||||
\(913\) | −1.76984e8 | + | 1.64217e8i | −0.232553 | + | 0.215777i | ||||
\(914\) | −6.39407e8 | − | 8.01791e8i | −0.837411 | − | 1.05008i | ||||
\(915\) | −2.13086e8 | + | 3.12540e8i | −0.278158 | + | 0.407983i | ||||
\(916\) | −1.88718e7 | − | 1.75105e7i | −0.0245543 | − | 0.0227830i | ||||
\(917\) | −5.72153e7 | + | 7.63485e8i | −0.0742001 | + | 0.990131i | ||||
\(918\) | 1.42880e8 | + | 3.64052e8i | 0.184690 | + | 0.470582i | ||||
\(919\) | 3.02249e8 | + | 1.32424e9i | 0.389420 | + | 1.70616i | 0.666661 | + | 0.745361i | \(0.267723\pi\) |
−0.277240 | + | 0.960801i | \(0.589420\pi\) | |||||||
\(920\) | −5.68498e6 | − | 1.75358e6i | −0.00730071 | − | 0.00225197i | ||||
\(921\) | −7.70615e8 | − | 1.13028e9i | −0.986412 | − | 1.44680i | ||||
\(922\) | −1.28634e8 | + | 8.53434e8i | −0.164121 | + | 1.08887i | ||||
\(923\) | −1.05021e9 | − | 4.12177e8i | −1.33558 | − | 0.524178i | ||||
\(924\) | −7.67719e7 | − | 3.69714e7i | −0.0973164 | − | 0.0468651i | ||||
\(925\) | −2.49114e7 | + | 5.17290e7i | −0.0314755 | + | 0.0653595i | ||||
\(926\) | −2.08972e8 | + | 5.32452e8i | −0.263182 | + | 0.670576i | ||||
\(927\) | −1.14472e8 | − | 1.72539e7i | −0.143701 | − | 0.0216595i | ||||
\(928\) | 4.26832e8 | − | 2.91009e8i | 0.534088 | − | 0.364135i | ||||
\(929\) | 1.03002e8 | − | 3.33923e8i | 0.128469 | − | 0.416485i | −0.868372 | − | 0.495913i | \(-0.834833\pi\) |
0.996841 | + | 0.0794286i | \(0.0253096\pi\) | |||||||
\(930\) | −3.32524e7 | + | 7.58964e6i | −0.0413403 | + | 0.00943566i | ||||
\(931\) | 6.14520e7 | − | 2.41181e7i | 0.0761530 | − | 0.0298878i | ||||
\(932\) | −1.28837e8 | − | 9.65498e6i | −0.159145 | − | 0.0119262i | ||||
\(933\) | 5.35777e8 | − | 5.77431e8i | 0.659689 | − | 0.710976i | ||||
\(934\) | 6.24915e8 | + | 4.26060e8i | 0.766974 | + | 0.522914i | ||||
\(935\) | 9.22882e7 | − | 7.35974e7i | 0.112905 | − | 0.0900384i | ||||
\(936\) | 3.18549e8 | + | 3.43314e8i | 0.388462 | + | 0.418663i | ||||
\(937\) | −8.85209e7 | − | 5.87298e8i | −0.107604 | − | 0.713904i | −0.975958 | − | 0.217959i | \(-0.930060\pi\) |
0.868354 | − | 0.495944i | \(-0.165178\pi\) | |||||||
\(938\) | −4.87332e7 | + | 2.13514e8i | −0.0590496 | + | 0.258713i | ||||
\(939\) | −9.44411e8 | + | 1.63577e9i | −1.14068 | + | 1.97572i | ||||
\(940\) | 7.06327e7 | − | 4.07798e7i | 0.0850398 | − | 0.0490978i | ||||
\(941\) | −1.06975e9 | + | 3.29974e8i | −1.28385 | + | 0.396014i | −0.860267 | − | 0.509844i | \(-0.829703\pi\) |
−0.423580 | + | 0.905859i | \(0.639227\pi\) | |||||||
\(942\) | 5.55100e8 | + | 4.42678e8i | 0.664078 | + | 0.529584i | ||||
\(943\) | 697591. | + | 9.30871e6i | 0.000831890 | + | 0.0111008i | ||||
\(944\) | −2.30410e8 | + | 1.10959e8i | −0.273895 | + | 0.131901i | ||||
\(945\) | − | 1.55759e8i | − | 0.184569i | ||||||
\(946\) | 1.94654e8 | − | 2.95046e7i | 0.229927 | − | 0.0348511i | ||||
\(947\) | 1.15987e9 | 1.36571 | 0.682854 | − | 0.730555i | \(-0.260739\pi\) | ||||
0.682854 | + | 0.730555i | \(0.260739\pi\) | |||||||
\(948\) | −2.38052e6 | − | 4.94319e6i | −0.00279413 | − | 0.00580206i | ||||
\(949\) | 1.19749e9 | − | 8.97391e7i | 1.40111 | − | 0.104999i | ||||
\(950\) | −5.51514e7 | + | 6.91576e7i | −0.0643258 | + | 0.0806620i | ||||
\(951\) | 1.42681e8 | + | 4.62561e8i | 0.165892 | + | 0.537809i | ||||
\(952\) | 3.65217e8 | + | 6.32574e8i | 0.423292 | + | 0.733163i | ||||
\(953\) | 1.17861e9 | + | 6.80469e8i | 1.36173 | + | 0.786194i | 0.989854 | − | 0.142089i | \(-0.0453821\pi\) |
0.371874 | + | 0.928283i | \(0.378715\pi\) | |||||||
\(954\) | −2.73335e8 | − | 6.23869e7i | −0.314811 | − | 0.0718536i | ||||
\(955\) | −1.34597e8 | + | 2.02873e7i | −0.154535 | + | 0.0232923i | ||||
\(956\) | −1.01892e8 | + | 9.45415e7i | −0.116618 | + | 0.108205i | ||||
\(957\) | −1.73710e8 | − | 2.17825e8i | −0.198193 | − | 0.248526i | ||||
\(958\) | 6.59473e8 | − | 9.67269e8i | 0.750067 | − | 1.10015i | ||||
\(959\) | −2.43192e7 | − | 2.25649e7i | −0.0275736 | − | 0.0255846i | ||||
\(960\) | −3.55762e7 | + | 4.74732e8i | −0.0402111 | + | 0.536580i | ||||
\(961\) | −3.20792e8 | − | 8.17365e8i | −0.361454 | − | 0.920971i | ||||
\(962\) | −1.39690e7 | − | 6.12024e7i | −0.0156907 | − | 0.0687453i | ||||
\(963\) | −6.43730e8 | − | 1.98565e8i | −0.720817 | − | 0.222343i | ||||
\(964\) | 3.70534e8 | + | 5.43474e8i | 0.413616 | + | 0.606663i | ||||
\(965\) | −5.79369e7 | + | 3.84386e8i | −0.0644723 | + | 0.427746i | ||||
\(966\) | −9.16504e6 | − | 3.59701e6i | −0.0101672 | − | 0.00399034i | ||||
\(967\) | 6.18011e8 | + | 2.97618e8i | 0.683466 | + | 0.329140i | 0.743195 | − | 0.669075i | \(-0.233309\pi\) |
−0.0597292 | + | 0.998215i | \(0.519024\pi\) | |||||||
\(968\) | 3.87347e8 | − | 8.04334e8i | 0.427045 | − | 0.886769i | ||||
\(969\) | 7.43586e7 | − | 1.89463e8i | 0.0817259 | − | 0.208234i | ||||
\(970\) | −2.90961e8 | − | 4.38553e7i | −0.318801 | − | 0.0480515i | ||||
\(971\) | 3.75539e6 | − | 2.56038e6i | 0.00410202 | − | 0.00279671i | −0.561267 | − | 0.827635i | \(-0.689686\pi\) |
0.565369 | + | 0.824838i | \(0.308734\pi\) | |||||||
\(972\) | 1.03938e8 | − | 3.36958e8i | 0.113181 | − | 0.366925i | ||||
\(973\) | −7.62679e8 | + | 1.74077e8i | −0.827948 | + | 0.188974i | ||||
\(974\) | 1.12565e9 | − | 4.41785e8i | 1.21822 | − | 0.478117i | ||||
\(975\) | −9.46091e8 | − | 7.08997e7i | −1.02075 | − | 0.0764946i | ||||
\(976\) | −2.48117e8 | + | 2.67407e8i | −0.266875 | + | 0.287622i | ||||
\(977\) | −7.35711e8 | − | 5.01599e8i | −0.788903 | − | 0.537865i | 0.100528 | − | 0.994934i | \(-0.467947\pi\) |
−0.889431 | + | 0.457069i | \(0.848899\pi\) | |||||||
\(978\) | −8.77845e8 | + | 7.00058e8i | −0.938429 | + | 0.748372i | ||||
\(979\) | 1.53947e8 | + | 1.65915e8i | 0.164067 | + | 0.176823i | ||||
\(980\) | 1.23145e7 | + | 8.17015e7i | 0.0130840 | + | 0.0868064i | ||||
\(981\) | 1.79094e8 | − | 7.84660e8i | 0.189702 | − | 0.831141i | ||||
\(982\) | 2.34318e8 | − | 4.05850e8i | 0.247440 | − | 0.428579i | ||||
\(983\) | 7.69362e8 | − | 4.44192e8i | 0.809973 | − | 0.467638i | −0.0369738 | − | 0.999316i | \(-0.511772\pi\) |
0.846946 | + | 0.531678i | \(0.178438\pi\) | |||||||
\(984\) | 8.32076e8 | − | 2.56661e8i | 0.873329 | − | 0.269386i | ||||
\(985\) | 4.77214e8 | + | 3.80566e8i | 0.499350 | + | 0.398218i | ||||
\(986\) | 5.17569e7 | + | 6.90648e8i | 0.0539930 | + | 0.720487i | ||||
\(987\) | 4.19347e8 | − | 2.01947e8i | 0.436137 | − | 0.210032i | ||||
\(988\) | 6.67770e7i | 0.0692398i | ||||||||
\(989\) | −1.53097e7 | + | 3.50770e6i | −0.0158262 | + | 0.00362605i | ||||
\(990\) | 5.04011e7 | 0.0519439 | ||||||||
\(991\) | 1.01135e8 | + | 2.10010e8i | 0.103916 | + | 0.215784i | 0.946443 | − | 0.322870i | \(-0.104648\pi\) |
−0.842527 | + | 0.538653i | \(0.818933\pi\) | |||||||
\(992\) | 7.59652e7 | − | 5.69280e6i | 0.0778179 | − | 0.00583165i | ||||
\(993\) | −5.43811e8 | + | 6.81917e8i | −0.555393 | + | 0.696440i | ||||
\(994\) | −2.21451e8 | − | 7.17925e8i | −0.225485 | − | 0.731005i | ||||
\(995\) | 2.62641e8 | + | 4.54907e8i | 0.266620 | + | 0.461800i | ||||
\(996\) | −4.51224e8 | − | 2.60514e8i | −0.456682 | − | 0.263666i | ||||
\(997\) | 6.12843e8 | + | 1.39877e8i | 0.618392 | + | 0.141144i | 0.520230 | − | 0.854026i | \(-0.325846\pi\) |
0.0981625 | + | 0.995170i | \(0.468704\pi\) | |||||||
\(998\) | 7.99586e8 | − | 1.20518e8i | 0.804402 | − | 0.121244i | ||||
\(999\) | −3.90653e7 | + | 3.62473e7i | −0.0391828 | + | 0.0363563i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.7.h.a.29.14 | yes | 252 | |
43.3 | odd | 42 | inner | 43.7.h.a.3.14 | ✓ | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.3.14 | ✓ | 252 | 43.3 | odd | 42 | inner | |
43.7.h.a.29.14 | yes | 252 | 1.1 | even | 1 | trivial |