Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(9,43)]
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([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), 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: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.17 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.6.g.a.9.17 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 6.32555 | − | 7.93199i | 1.11821 | − | 1.40219i | 0.213090 | − | 0.977033i | \(-0.431647\pi\) |
0.905119 | − | 0.425158i | \(-0.139781\pi\) | |||||||
\(3\) | 2.21950 | − | 0.334535i | 0.142381 | − | 0.0214604i | −0.0774651 | − | 0.996995i | \(-0.524683\pi\) |
0.219846 | + | 0.975535i | \(0.429445\pi\) | |||||||
\(4\) | −15.7832 | − | 69.1506i | −0.493224 | − | 2.16096i | ||||
\(5\) | 53.6893 | − | 36.6047i | 0.960423 | − | 0.654805i | 0.0218044 | − | 0.999762i | \(-0.493059\pi\) |
0.938618 | + | 0.344957i | \(0.112107\pi\) | |||||||
\(6\) | 11.3860 | − | 19.7211i | 0.129120 | − | 0.223642i | ||||
\(7\) | 51.6195 | + | 89.4076i | 0.398170 | + | 0.689651i | 0.993500 | − | 0.113830i | \(-0.0363121\pi\) |
−0.595330 | + | 0.803481i | \(0.702979\pi\) | |||||||
\(8\) | −355.837 | − | 171.362i | −1.96574 | − | 0.946651i | ||||
\(9\) | −227.390 | + | 70.1405i | −0.935761 | + | 0.288644i | ||||
\(10\) | 49.2659 | − | 657.407i | 0.155792 | − | 2.07890i | ||||
\(11\) | 20.3695 | − | 89.2448i | 0.0507574 | − | 0.222383i | −0.943188 | − | 0.332260i | \(-0.892189\pi\) |
0.993945 | + | 0.109878i | \(0.0350459\pi\) | |||||||
\(12\) | −58.1640 | − | 148.200i | −0.116601 | − | 0.297094i | ||||
\(13\) | 17.7788 | + | 237.241i | 0.0291772 | + | 0.389343i | 0.992606 | + | 0.121379i | \(0.0387317\pi\) |
−0.963429 | + | 0.267964i | \(0.913649\pi\) | |||||||
\(14\) | 1035.70 | + | 156.107i | 1.41226 | + | 0.212864i | ||||
\(15\) | 106.918 | − | 99.2050i | 0.122693 | − | 0.113843i | ||||
\(16\) | −1565.15 | + | 753.738i | −1.52847 | + | 0.736072i | ||||
\(17\) | −325.466 | − | 221.899i | −0.273139 | − | 0.186223i | 0.419002 | − | 0.907985i | \(-0.362380\pi\) |
−0.692141 | + | 0.721762i | \(0.743332\pi\) | |||||||
\(18\) | −882.012 | + | 2247.33i | −0.641643 | + | 1.63488i | ||||
\(19\) | 1621.60 | + | 500.198i | 1.03053 | + | 0.317876i | 0.763497 | − | 0.645812i | \(-0.223481\pi\) |
0.267032 | + | 0.963688i | \(0.413957\pi\) | |||||||
\(20\) | −3378.63 | − | 3134.91i | −1.88871 | − | 1.75247i | ||||
\(21\) | 144.479 | + | 181.171i | 0.0714920 | + | 0.0896481i | ||||
\(22\) | −579.040 | − | 726.093i | −0.255066 | − | 0.319842i | ||||
\(23\) | 1673.07 | + | 1552.38i | 0.659467 | + | 0.611896i | 0.937213 | − | 0.348758i | \(-0.113397\pi\) |
−0.277745 | + | 0.960655i | \(0.589587\pi\) | |||||||
\(24\) | −847.106 | − | 261.298i | −0.300199 | − | 0.0925992i | ||||
\(25\) | 400.941 | − | 1021.58i | 0.128301 | − | 0.326906i | ||||
\(26\) | 1994.26 | + | 1359.66i | 0.578559 | + | 0.394455i | ||||
\(27\) | −972.642 | + | 468.400i | −0.256770 | + | 0.123654i | ||||
\(28\) | 5367.87 | − | 4980.65i | 1.29392 | − | 1.20058i | ||||
\(29\) | 8257.74 | + | 1244.65i | 1.82333 | + | 0.274823i | 0.969387 | − | 0.245536i | \(-0.0789640\pi\) |
0.853947 | + | 0.520360i | \(0.174202\pi\) | |||||||
\(30\) | −110.581 | − | 1475.59i | −0.0224324 | − | 0.299339i | ||||
\(31\) | −3376.13 | − | 8602.24i | −0.630979 | − | 1.60771i | −0.784898 | − | 0.619625i | \(-0.787285\pi\) |
0.153918 | − | 0.988084i | \(-0.450811\pi\) | |||||||
\(32\) | −1109.51 | + | 4861.07i | −0.191538 | + | 0.839184i | ||||
\(33\) | 15.3546 | − | 204.893i | 0.00245445 | − | 0.0327523i | ||||
\(34\) | −3818.85 | + | 1177.96i | −0.566546 | + | 0.174756i | ||||
\(35\) | 6044.15 | + | 2910.71i | 0.833998 | + | 0.401632i | ||||
\(36\) | 8439.19 | + | 14617.1i | 1.08529 | + | 1.87977i | ||||
\(37\) | −7700.94 | + | 13338.4i | −0.924782 | + | 1.60177i | −0.132870 | + | 0.991133i | \(0.542419\pi\) |
−0.791912 | + | 0.610636i | \(0.790914\pi\) | |||||||
\(38\) | 14225.1 | − | 9698.49i | 1.59807 | − | 1.08955i | ||||
\(39\) | 118.826 | + | 520.609i | 0.0125097 | + | 0.0548088i | ||||
\(40\) | −25377.3 | + | 3825.01i | −2.50781 | + | 0.377992i | ||||
\(41\) | −3536.56 | + | 4434.70i | −0.328565 | + | 0.412007i | −0.918486 | − | 0.395454i | \(-0.870587\pi\) |
0.589921 | + | 0.807461i | \(0.299159\pi\) | |||||||
\(42\) | 2350.96 | 0.205647 | ||||||||
\(43\) | −8795.47 | − | 8345.55i | −0.725417 | − | 0.688310i | ||||
\(44\) | −6492.83 | −0.505595 | ||||||||
\(45\) | −9640.93 | + | 12089.3i | −0.709721 | + | 0.889962i | ||||
\(46\) | 22896.5 | − | 3451.09i | 1.59542 | − | 0.240471i | ||||
\(47\) | 2559.75 | + | 11215.0i | 0.169026 | + | 0.740549i | 0.986389 | + | 0.164427i | \(0.0525775\pi\) |
−0.817364 | + | 0.576122i | \(0.804565\pi\) | |||||||
\(48\) | −3221.70 | + | 2196.52i | −0.201828 | + | 0.137604i | ||||
\(49\) | 3074.36 | − | 5324.94i | 0.182921 | − | 0.316829i | ||||
\(50\) | −5567.00 | − | 9642.32i | −0.314917 | − | 0.545452i | ||||
\(51\) | −796.603 | − | 383.624i | −0.0428861 | − | 0.0206529i | ||||
\(52\) | 16124.8 | − | 4973.84i | 0.826962 | − | 0.255084i | ||||
\(53\) | 767.090 | − | 10236.1i | 0.0375108 | − | 0.500547i | −0.946531 | − | 0.322612i | \(-0.895439\pi\) |
0.984042 | − | 0.177936i | \(-0.0569418\pi\) | |||||||
\(54\) | −2437.15 | + | 10677.9i | −0.113736 | + | 0.498310i | ||||
\(55\) | −2173.16 | − | 5537.11i | −0.0968689 | − | 0.246818i | ||||
\(56\) | −3047.06 | − | 40660.2i | −0.129841 | − | 1.73260i | ||||
\(57\) | 3766.47 | + | 567.704i | 0.153549 | + | 0.0231438i | ||||
\(58\) | 62107.3 | − | 57627.2i | 2.42422 | − | 2.24935i | ||||
\(59\) | −24967.8 | + | 12023.8i | −0.933791 | + | 0.449690i | −0.837975 | − | 0.545709i | \(-0.816260\pi\) |
−0.0958163 | + | 0.995399i | \(0.530546\pi\) | |||||||
\(60\) | −8547.59 | − | 5827.65i | −0.306525 | − | 0.208985i | ||||
\(61\) | −7680.19 | + | 19568.8i | −0.264270 | + | 0.673348i | −0.999992 | − | 0.00393486i | \(-0.998747\pi\) |
0.735723 | + | 0.677283i | \(0.236843\pi\) | |||||||
\(62\) | −89588.7 | − | 27634.5i | −2.95988 | − | 0.913002i | ||||
\(63\) | −18008.8 | − | 16709.8i | −0.571656 | − | 0.530419i | ||||
\(64\) | −3120.12 | − | 3912.51i | −0.0952186 | − | 0.119400i | ||||
\(65\) | 9638.68 | + | 12086.5i | 0.282966 | + | 0.354828i | ||||
\(66\) | −1528.08 | − | 1417.85i | −0.0431804 | − | 0.0400656i | ||||
\(67\) | −50242.1 | − | 15497.6i | −1.36735 | − | 0.421773i | −0.477745 | − | 0.878498i | \(-0.658546\pi\) |
−0.889608 | + | 0.456726i | \(0.849022\pi\) | |||||||
\(68\) | −10207.6 | + | 26008.4i | −0.267701 | + | 0.682090i | ||||
\(69\) | 4232.69 | + | 2885.80i | 0.107027 | + | 0.0729698i | ||||
\(70\) | 61320.3 | − | 29530.3i | 1.49575 | − | 0.720315i | ||||
\(71\) | −33932.4 | + | 31484.6i | −0.798856 | + | 0.741230i | −0.969761 | − | 0.244058i | \(-0.921521\pi\) |
0.170905 | + | 0.985288i | \(0.445331\pi\) | |||||||
\(72\) | 92933.2 | + | 14007.4i | 2.11271 | + | 0.318440i | ||||
\(73\) | 438.520 | + | 5851.64i | 0.00963124 | + | 0.128520i | 0.999947 | − | 0.0103148i | \(-0.00328337\pi\) |
−0.990316 | + | 0.138835i | \(0.955664\pi\) | |||||||
\(74\) | 57087.5 | + | 145457.i | 1.21189 | + | 3.08783i | ||||
\(75\) | 548.132 | − | 2401.52i | 0.0112521 | − | 0.0492985i | ||||
\(76\) | 8994.96 | − | 120029.i | 0.178635 | − | 2.38371i | ||||
\(77\) | 9030.63 | − | 2785.58i | 0.173577 | − | 0.0535413i | ||||
\(78\) | 4881.10 | + | 2350.61i | 0.0908408 | + | 0.0437466i | ||||
\(79\) | 33115.0 | + | 57356.9i | 0.596976 | + | 1.03399i | 0.993265 | + | 0.115867i | \(0.0369647\pi\) |
−0.396288 | + | 0.918126i | \(0.629702\pi\) | |||||||
\(80\) | −56441.6 | + | 97759.7i | −0.985994 | + | 1.70779i | ||||
\(81\) | 45775.0 | − | 31208.8i | 0.775203 | − | 0.528525i | ||||
\(82\) | 12805.3 | + | 56103.8i | 0.210308 | + | 0.921420i | ||||
\(83\) | 15506.1 | − | 2337.18i | 0.247064 | − | 0.0372388i | −0.0243429 | − | 0.999704i | \(-0.507749\pi\) |
0.271406 | + | 0.962465i | \(0.412511\pi\) | |||||||
\(84\) | 10247.8 | − | 12850.3i | 0.158464 | − | 0.198708i | ||||
\(85\) | −25596.6 | −0.384268 | ||||||||
\(86\) | −121833. | + | 16975.3i | −1.77631 | + | 0.247498i | ||||
\(87\) | 18744.4 | 0.265506 | ||||||||
\(88\) | −22541.4 | + | 28266.1i | −0.310295 | + | 0.389098i | ||||
\(89\) | −103789. | + | 15643.6i | −1.38891 | + | 0.209345i | −0.800556 | − | 0.599257i | \(-0.795463\pi\) |
−0.588356 | + | 0.808602i | \(0.700225\pi\) | |||||||
\(90\) | 34908.3 | + | 152943.i | 0.454279 | + | 1.99033i | ||||
\(91\) | −20293.4 | + | 13835.8i | −0.256893 | + | 0.175147i | ||||
\(92\) | 80941.6 | − | 140195.i | 0.997016 | − | 1.72688i | ||||
\(93\) | −10371.1 | − | 17963.2i | −0.124341 | − | 0.215366i | ||||
\(94\) | 105149. | + | 50637.0i | 1.22740 | + | 0.591083i | ||||
\(95\) | 105372. | − | 32503.0i | 1.19789 | − | 0.369500i | ||||
\(96\) | −836.349 | + | 11160.3i | −0.00926210 | + | 0.123594i | ||||
\(97\) | 32132.4 | − | 140781.i | 0.346748 | − | 1.51920i | −0.437766 | − | 0.899089i | \(-0.644230\pi\) |
0.784514 | − | 0.620112i | \(-0.212913\pi\) | |||||||
\(98\) | −22790.4 | − | 58069.0i | −0.239710 | − | 0.610772i | ||||
\(99\) | 1627.85 | + | 21722.1i | 0.0166927 | + | 0.222748i | ||||
\(100\) | −76971.1 | − | 11601.5i | −0.769711 | − | 0.116015i | ||||
\(101\) | −37253.3 | + | 34566.0i | −0.363380 | + | 0.337167i | −0.840640 | − | 0.541595i | \(-0.817821\pi\) |
0.477260 | + | 0.878762i | \(0.341630\pi\) | |||||||
\(102\) | −8081.85 | + | 3892.01i | −0.0769149 | + | 0.0370403i | ||||
\(103\) | −26289.7 | − | 17924.0i | −0.244170 | − | 0.166472i | 0.435052 | − | 0.900405i | \(-0.356730\pi\) |
−0.679222 | + | 0.733933i | \(0.737682\pi\) | |||||||
\(104\) | 34327.8 | − | 87465.9i | 0.311217 | − | 0.792968i | ||||
\(105\) | 14388.7 | + | 4438.33i | 0.127365 | + | 0.0392868i | ||||
\(106\) | −76340.4 | − | 70833.6i | −0.659918 | − | 0.612314i | ||||
\(107\) | −23881.6 | − | 29946.6i | −0.201653 | − | 0.252865i | 0.670714 | − | 0.741716i | \(-0.265988\pi\) |
−0.872367 | + | 0.488851i | \(0.837416\pi\) | |||||||
\(108\) | 47741.5 | + | 59865.9i | 0.393855 | + | 0.493879i | ||||
\(109\) | 49554.3 | + | 45979.7i | 0.399498 | + | 0.370680i | 0.854183 | − | 0.519972i | \(-0.174058\pi\) |
−0.454685 | + | 0.890652i | \(0.650248\pi\) | |||||||
\(110\) | −57666.7 | − | 17787.8i | −0.454405 | − | 0.140165i | ||||
\(111\) | −12630.0 | + | 32180.8i | −0.0972965 | + | 0.247907i | ||||
\(112\) | −148182. | − | 101029.i | −1.11622 | − | 0.761029i | ||||
\(113\) | 229841. | − | 110686.i | 1.69329 | − | 0.815446i | 0.698264 | − | 0.715840i | \(-0.253956\pi\) |
0.995027 | − | 0.0996062i | \(-0.0317583\pi\) | |||||||
\(114\) | 28328.0 | − | 26284.6i | 0.204152 | − | 0.189426i | ||||
\(115\) | 146650. | + | 22103.9i | 1.03404 | + | 0.155857i | ||||
\(116\) | −44264.8 | − | 590673.i | −0.305431 | − | 4.07570i | ||||
\(117\) | −20682.9 | − | 52699.3i | −0.139684 | − | 0.355910i | ||||
\(118\) | −62561.9 | + | 274101.i | −0.413623 | + | 1.81220i | ||||
\(119\) | 3039.06 | − | 40553.4i | 0.0196730 | − | 0.262519i | ||||
\(120\) | −55045.2 | + | 16979.2i | −0.348953 | + | 0.107638i | ||||
\(121\) | 137552. | + | 66241.7i | 0.854091 | + | 0.411309i | ||||
\(122\) | 106638. | + | 184703.i | 0.648653 | + | 1.12350i | ||||
\(123\) | −6365.81 | + | 11025.9i | −0.0379394 | + | 0.0657130i | ||||
\(124\) | −541564. | + | 369232.i | −3.16298 | + | 2.15648i | ||||
\(125\) | 29317.4 | + | 128448.i | 0.167823 | + | 0.735279i | ||||
\(126\) | −246457. | + | 37147.5i | −1.38298 | + | 0.208451i | ||||
\(127\) | 32936.4 | − | 41301.0i | 0.181204 | − | 0.227222i | −0.682931 | − | 0.730483i | \(-0.739295\pi\) |
0.864135 | + | 0.503261i | \(0.167866\pi\) | |||||||
\(128\) | −210325. | −1.13466 | ||||||||
\(129\) | −22313.4 | − | 15580.5i | −0.118057 | − | 0.0824343i | ||||
\(130\) | 156840. | 0.813952 | ||||||||
\(131\) | 115853. | − | 145275.i | 0.589832 | − | 0.739625i | −0.393923 | − | 0.919143i | \(-0.628882\pi\) |
0.983755 | + | 0.179518i | \(0.0574538\pi\) | |||||||
\(132\) | −14410.8 | + | 2172.08i | −0.0719869 | + | 0.0108503i | ||||
\(133\) | 38984.8 | + | 170803.i | 0.191102 | + | 0.837274i | ||||
\(134\) | −440736. | + | 300488.i | −2.12039 | + | 1.44566i | ||||
\(135\) | −35074.8 | + | 60751.3i | −0.165638 | + | 0.286894i | ||||
\(136\) | 77787.8 | + | 134732.i | 0.360632 | + | 0.624633i | ||||
\(137\) | −172309. | − | 82979.4i | −0.784342 | − | 0.377719i | −0.00154696 | − | 0.999999i | \(-0.500492\pi\) |
−0.782795 | + | 0.622280i | \(0.786207\pi\) | |||||||
\(138\) | 49664.2 | − | 15319.4i | 0.221996 | − | 0.0684768i | ||||
\(139\) | 14730.4 | − | 196563.i | 0.0646661 | − | 0.862909i | −0.866701 | − | 0.498828i | \(-0.833764\pi\) |
0.931367 | − | 0.364081i | \(-0.118617\pi\) | |||||||
\(140\) | 105881. | − | 463897.i | 0.456562 | − | 2.00033i | ||||
\(141\) | 9433.15 | + | 24035.3i | 0.0399585 | + | 0.101813i | ||||
\(142\) | 35094.9 | + | 468309.i | 0.146057 | + | 1.94900i | ||||
\(143\) | 21534.7 | + | 3245.84i | 0.0880641 | + | 0.0132735i | ||||
\(144\) | 303033. | − | 281173.i | 1.21782 | − | 1.12997i | ||||
\(145\) | 488912. | − | 235448.i | 1.93113 | − | 0.929982i | ||||
\(146\) | 49189.0 | + | 33536.5i | 0.190979 | + | 0.130207i | ||||
\(147\) | 5042.15 | − | 12847.2i | 0.0192452 | − | 0.0490359i | ||||
\(148\) | 1.04390e6 | + | 322002.i | 3.91748 | + | 1.20838i | ||||
\(149\) | −105128. | − | 97544.6i | −0.387930 | − | 0.359946i | 0.461965 | − | 0.886898i | \(-0.347144\pi\) |
−0.849895 | + | 0.526952i | \(0.823335\pi\) | |||||||
\(150\) | −15581.6 | − | 19538.7i | −0.0565437 | − | 0.0709036i | ||||
\(151\) | −121549. | − | 152418.i | −0.433821 | − | 0.543994i | 0.516082 | − | 0.856539i | \(-0.327390\pi\) |
−0.949903 | + | 0.312545i | \(0.898819\pi\) | |||||||
\(152\) | −491311. | − | 455870.i | −1.72483 | − | 1.60041i | ||||
\(153\) | 89571.8 | + | 27629.2i | 0.309345 | + | 0.0954202i | ||||
\(154\) | 35028.5 | − | 89251.1i | 0.119020 | − | 0.303258i | ||||
\(155\) | −496145. | − | 338266.i | −1.65874 | − | 1.13091i | ||||
\(156\) | 34125.0 | − | 16433.7i | 0.112269 | − | 0.0540660i | ||||
\(157\) | −300683. | + | 278993.i | −0.973553 | + | 0.903325i | −0.995339 | − | 0.0964378i | \(-0.969255\pi\) |
0.0217864 | + | 0.999763i | \(0.493065\pi\) | |||||||
\(158\) | 664425. | + | 100146.i | 2.11740 | + | 0.319147i | ||||
\(159\) | −1721.79 | − | 22975.6i | −0.00540115 | − | 0.0720733i | ||||
\(160\) | 118370. | + | 301601.i | 0.365544 | + | 0.931392i | ||||
\(161\) | −52431.6 | + | 229718.i | −0.159415 | + | 0.698441i | ||||
\(162\) | 42003.6 | − | 560499.i | 0.125747 | − | 1.67798i | ||||
\(163\) | −544437. | + | 167937.i | −1.60501 | + | 0.495081i | −0.962520 | − | 0.271211i | \(-0.912576\pi\) |
−0.642493 | + | 0.766292i | \(0.722100\pi\) | |||||||
\(164\) | 362480. | + | 174561.i | 1.05239 | + | 0.506802i | ||||
\(165\) | −6675.67 | − | 11562.6i | −0.0190891 | − | 0.0330633i | ||||
\(166\) | 79546.4 | − | 137778.i | 0.224053 | − | 0.388071i | ||||
\(167\) | −231757. | + | 158009.i | −0.643044 | + | 0.438420i | −0.840441 | − | 0.541904i | \(-0.817704\pi\) |
0.197396 | + | 0.980324i | \(0.436751\pi\) | |||||||
\(168\) | −20365.2 | − | 89225.7i | −0.0556692 | − | 0.243903i | ||||
\(169\) | 311179. | − | 46902.6i | 0.838094 | − | 0.126322i | ||||
\(170\) | −161912. | + | 203032.i | −0.429692 | + | 0.538817i | ||||
\(171\) | −403820. | −1.05608 | ||||||||
\(172\) | −438279. | + | 739931.i | −1.12961 | + | 1.90709i | ||||
\(173\) | 447700. | 1.13729 | 0.568646 | − | 0.822582i | \(-0.307467\pi\) | ||||
0.568646 | + | 0.822582i | \(0.307467\pi\) | |||||||
\(174\) | 118569. | − | 148680.i | 0.296891 | − | 0.372289i | ||||
\(175\) | 112033. | − | 16886.3i | 0.276537 | − | 0.0416812i | ||||
\(176\) | 35385.8 | + | 155035.i | 0.0861087 | + | 0.377267i | ||||
\(177\) | −51393.5 | + | 35039.5i | −0.123303 | + | 0.0840668i | ||||
\(178\) | −532435. | + | 922204.i | −1.25955 | + | 2.18161i | ||||
\(179\) | −164076. | − | 284188.i | −0.382747 | − | 0.662938i | 0.608707 | − | 0.793395i | \(-0.291689\pi\) |
−0.991454 | + | 0.130458i | \(0.958355\pi\) | |||||||
\(180\) | 988150. | + | 475868.i | 2.27322 | + | 1.09472i | ||||
\(181\) | 157920. | − | 48711.9i | 0.358296 | − | 0.110520i | −0.110381 | − | 0.993889i | \(-0.535207\pi\) |
0.468677 | + | 0.883370i | \(0.344731\pi\) | |||||||
\(182\) | −18621.5 | + | 248487.i | −0.0416712 | + | 0.556063i | ||||
\(183\) | −10499.7 | + | 46002.2i | −0.0231766 | + | 0.101543i | ||||
\(184\) | −329320. | − | 839094.i | −0.717090 | − | 1.82712i | ||||
\(185\) | 74791.3 | + | 998021.i | 0.160665 | + | 2.14393i | ||||
\(186\) | −208087. | − | 31364.0i | −0.441024 | − | 0.0664736i | ||||
\(187\) | −26432.9 | + | 24526.2i | −0.0552766 | + | 0.0512892i | ||||
\(188\) | 735122. | − | 354016.i | 1.51693 | − | 0.730514i | ||||
\(189\) | −92085.7 | − | 62783.0i | −0.187516 | − | 0.127846i | ||||
\(190\) | 408723. | − | 1.04141e6i | 0.821383 | − | 2.09285i | ||||
\(191\) | −357272. | − | 110204.i | −0.708624 | − | 0.218581i | −0.0805671 | − | 0.996749i | \(-0.525673\pi\) |
−0.628056 | + | 0.778168i | \(0.716149\pi\) | |||||||
\(192\) | −8233.97 | − | 7640.01i | −0.0161197 | − | 0.0149569i | ||||
\(193\) | −90081.9 | − | 112959.i | −0.174078 | − | 0.218287i | 0.687137 | − | 0.726528i | \(-0.258867\pi\) |
−0.861215 | + | 0.508241i | \(0.830296\pi\) | |||||||
\(194\) | −913419. | − | 1.14539e6i | −1.74247 | − | 2.18499i | ||||
\(195\) | 25436.4 | + | 23601.5i | 0.0479037 | + | 0.0444481i | ||||
\(196\) | −416746. | − | 128549.i | −0.774875 | − | 0.239017i | ||||
\(197\) | 28298.2 | − | 72102.6i | 0.0519509 | − | 0.132369i | −0.902542 | − | 0.430601i | \(-0.858302\pi\) |
0.954493 | + | 0.298232i | \(0.0963969\pi\) | |||||||
\(198\) | 182596. | + | 124492.i | 0.331001 | + | 0.225673i | ||||
\(199\) | 631823. | − | 304270.i | 1.13100 | − | 0.544661i | 0.227726 | − | 0.973725i | \(-0.426871\pi\) |
0.903274 | + | 0.429064i | \(0.141157\pi\) | |||||||
\(200\) | −317730. | + | 294810.i | −0.561673 | + | 0.521156i | ||||
\(201\) | −116697. | − | 17589.2i | −0.203736 | − | 0.0307083i | ||||
\(202\) | 38529.6 | + | 514141.i | 0.0664378 | + | 0.886551i | ||||
\(203\) | 314979. | + | 802553.i | 0.536465 | + | 1.36689i | ||||
\(204\) | −13954.9 | + | 61140.4i | −0.0234775 | + | 0.102862i | ||||
\(205\) | −27544.1 | + | 367551.i | −0.0457766 | + | 0.610847i | ||||
\(206\) | −308469. | + | 95150.2i | −0.506459 | + | 0.156222i | ||||
\(207\) | −489323. | − | 235645.i | −0.793724 | − | 0.382237i | ||||
\(208\) | −206644. | − | 357919.i | −0.331181 | − | 0.573622i | ||||
\(209\) | 77671.4 | − | 134531.i | 0.122997 | − | 0.213037i | ||||
\(210\) | 126221. | − | 86056.2i | 0.197508 | − | 0.134658i | ||||
\(211\) | −153653. | − | 673200.i | −0.237594 | − | 1.04097i | −0.943164 | − | 0.332328i | \(-0.892166\pi\) |
0.705569 | − | 0.708641i | \(-0.250691\pi\) | |||||||
\(212\) | −719940. | + | 108514.i | −1.10016 | + | 0.165823i | ||||
\(213\) | −64780.0 | + | 81231.6i | −0.0978345 | + | 0.122681i | ||||
\(214\) | −388601. | −0.580055 | ||||||||
\(215\) | −777709. | − | 126111.i | −1.14742 | − | 0.186061i | ||||
\(216\) | 426368. | 0.621799 | ||||||||
\(217\) | 594831. | − | 745895.i | 0.857521 | − | 1.07530i | ||||
\(218\) | 678168. | − | 102217.i | 0.966487 | − | 0.145675i | ||||
\(219\) | 2930.87 | + | 12841.0i | 0.00412940 | + | 0.0180921i | ||||
\(220\) | −348595. | + | 237668.i | −0.485585 | + | 0.331066i | ||||
\(221\) | 46857.2 | − | 81159.1i | 0.0645351 | − | 0.111778i | ||||
\(222\) | 175366. | + | 303742.i | 0.238815 | + | 0.413640i | ||||
\(223\) | −262616. | − | 126469.i | −0.353637 | − | 0.170303i | 0.248627 | − | 0.968599i | \(-0.420021\pi\) |
−0.602265 | + | 0.798296i | \(0.705735\pi\) | |||||||
\(224\) | −491889. | + | 151728.i | −0.655009 | + | 0.202043i | ||||
\(225\) | −19515.7 | + | 260420.i | −0.0256997 | + | 0.342939i | ||||
\(226\) | 575914. | − | 2.52324e6i | 0.750044 | − | 3.28616i | ||||
\(227\) | 307495. | + | 783485.i | 0.396071 | + | 1.00917i | 0.980288 | + | 0.197576i | \(0.0633068\pi\) |
−0.584216 | + | 0.811598i | \(0.698598\pi\) | |||||||
\(228\) | −20189.8 | − | 269414.i | −0.0257214 | − | 0.343228i | ||||
\(229\) | 1.17208e6 | + | 176662.i | 1.47696 | + | 0.222615i | 0.837595 | − | 0.546292i | \(-0.183961\pi\) |
0.639361 | + | 0.768907i | \(0.279199\pi\) | |||||||
\(230\) | 1.10297e6 | − | 1.02341e6i | 1.37481 | − | 1.27564i | ||||
\(231\) | 19111.6 | − | 9203.65i | 0.0235649 | − | 0.0113483i | ||||
\(232\) | −2.72512e6 | − | 1.85796e6i | −3.32404 | − | 2.26629i | ||||
\(233\) | −179092. | + | 456320.i | −0.216116 | + | 0.550655i | −0.997283 | − | 0.0736675i | \(-0.976530\pi\) |
0.781167 | + | 0.624322i | \(0.214625\pi\) | |||||||
\(234\) | −548841. | − | 169295.i | −0.655250 | − | 0.202118i | ||||
\(235\) | 547952. | + | 508425.i | 0.647251 | + | 0.600561i | ||||
\(236\) | 1.22553e6 | + | 1.53676e6i | 1.43233 | + | 1.79608i | ||||
\(237\) | 92686.5 | + | 116225.i | 0.107188 | + | 0.134409i | ||||
\(238\) | −302445. | − | 280628.i | −0.346102 | − | 0.321136i | ||||
\(239\) | −1.07299e6 | − | 330974.i | −1.21507 | − | 0.374799i | −0.380022 | − | 0.924978i | \(-0.624083\pi\) |
−0.835047 | + | 0.550179i | \(0.814560\pi\) | |||||||
\(240\) | −92567.8 | + | 235859.i | −0.103737 | + | 0.264316i | ||||
\(241\) | 1.26903e6 | + | 865211.i | 1.40744 | + | 0.959576i | 0.998903 | + | 0.0468342i | \(0.0149133\pi\) |
0.408537 | + | 0.912742i | \(0.366039\pi\) | |||||||
\(242\) | 1.39552e6 | − | 672047.i | 1.53179 | − | 0.737669i | ||||
\(243\) | 283459. | − | 263012.i | 0.307946 | − | 0.285732i | ||||
\(244\) | 1.47441e6 | + | 222232.i | 1.58542 | + | 0.238964i | ||||
\(245\) | −29858.1 | − | 398428.i | −0.0317795 | − | 0.424068i | ||||
\(246\) | 47190.1 | + | 120238.i | 0.0497179 | + | 0.126679i | ||||
\(247\) | −89837.5 | + | 393604.i | −0.0936948 | + | 0.410504i | ||||
\(248\) | −272746. | + | 3.63954e6i | −0.281597 | + | 3.75766i | ||||
\(249\) | 33634.0 | − | 10374.7i | 0.0343779 | − | 0.0106042i | ||||
\(250\) | 1.20430e6 | + | 579959.i | 1.21866 | + | 0.586877i | ||||
\(251\) | 697803. | + | 1.20863e6i | 0.699115 | + | 1.21090i | 0.968774 | + | 0.247947i | \(0.0797559\pi\) |
−0.269658 | + | 0.962956i | \(0.586911\pi\) | |||||||
\(252\) | −871254. | + | 1.50906e6i | −0.864258 | + | 1.49694i | ||||
\(253\) | 172621. | − | 117691.i | 0.169548 | − | 0.115596i | ||||
\(254\) | −119258. | − | 522502.i | −0.115985 | − | 0.508164i | ||||
\(255\) | −56811.5 | + | 8562.96i | −0.0547124 | + | 0.00824657i | ||||
\(256\) | −1.23058e6 | + | 1.54310e6i | −1.17357 | + | 1.47161i | ||||
\(257\) | −688445. | −0.650184 | −0.325092 | − | 0.945682i | \(-0.605395\pi\) | ||||
−0.325092 | + | 0.945682i | \(0.605395\pi\) | |||||||
\(258\) | −264729. | + | 78434.1i | −0.247601 | + | 0.0733594i | ||||
\(259\) | −1.59007e6 | −1.47288 | ||||||||
\(260\) | 683662. | − | 857285.i | 0.627203 | − | 0.786487i | ||||
\(261\) | −1.96503e6 | + | 296180.i | −1.78553 | + | 0.269126i | ||||
\(262\) | −419485. | − | 1.83788e6i | −0.377540 | − | 1.65411i | ||||
\(263\) | 814368. | − | 555226.i | 0.725991 | − | 0.494972i | −0.143048 | − | 0.989716i | \(-0.545690\pi\) |
0.869039 | + | 0.494744i | \(0.164738\pi\) | |||||||
\(264\) | −40574.6 | + | 70277.3i | −0.0358298 | + | 0.0620591i | ||||
\(265\) | −333505. | − | 577648.i | −0.291735 | − | 0.505300i | ||||
\(266\) | 1.60141e6 | + | 771198.i | 1.38771 | + | 0.668285i | ||||
\(267\) | −225125. | + | 69441.9i | −0.193262 | + | 0.0596134i | ||||
\(268\) | −278691. | + | 3.71887e6i | −0.237021 | + | 3.16282i | ||||
\(269\) | −67466.2 | + | 295589.i | −0.0568467 | + | 0.249062i | −0.995365 | − | 0.0961673i | \(-0.969342\pi\) |
0.938518 | + | 0.345229i | \(0.112199\pi\) | |||||||
\(270\) | 260011. | + | 662498.i | 0.217062 | + | 0.553064i | ||||
\(271\) | −115858. | − | 1.54602e6i | −0.0958305 | − | 1.27877i | −0.813162 | − | 0.582038i | \(-0.802256\pi\) |
0.717331 | − | 0.696732i | \(-0.245363\pi\) | |||||||
\(272\) | 676658. | + | 101990.i | 0.554558 | + | 0.0835861i | ||||
\(273\) | −40412.6 | + | 37497.5i | −0.0328179 | + | 0.0304506i | ||||
\(274\) | −1.74814e6 | + | 841859.i | −1.40669 | + | 0.677428i | ||||
\(275\) | −83003.8 | − | 56591.1i | −0.0661861 | − | 0.0451249i | ||||
\(276\) | 132749. | − | 338240.i | 0.104896 | − | 0.267271i | ||||
\(277\) | 1.85353e6 | + | 571738.i | 1.45144 | + | 0.447711i | 0.917475 | − | 0.397794i | \(-0.130224\pi\) |
0.533968 | + | 0.845505i | \(0.320700\pi\) | |||||||
\(278\) | −1.46596e6 | − | 1.36021e6i | −1.13765 | − | 1.05559i | ||||
\(279\) | 1.37106e6 | + | 1.71926e6i | 1.05450 | + | 1.32230i | ||||
\(280\) | −1.65195e6 | − | 2.07148e6i | −1.25922 | − | 1.57901i | ||||
\(281\) | 28348.0 | + | 26303.1i | 0.0214169 | + | 0.0198720i | 0.690809 | − | 0.723038i | \(-0.257255\pi\) |
−0.669392 | + | 0.742910i | \(0.733445\pi\) | |||||||
\(282\) | 250317. | + | 77212.7i | 0.187443 | + | 0.0578184i | ||||
\(283\) | 950409. | − | 2.42160e6i | 0.705414 | − | 1.79737i | 0.110026 | − | 0.993929i | \(-0.464907\pi\) |
0.595388 | − | 0.803438i | \(-0.296998\pi\) | |||||||
\(284\) | 2.71274e6 | + | 1.84952e6i | 1.99578 | + | 1.36070i | ||||
\(285\) | 223000. | − | 107391.i | 0.162627 | − | 0.0783170i | ||||
\(286\) | 161965. | − | 150281.i | 0.117086 | − | 0.108640i | ||||
\(287\) | −579051. | − | 87277.9i | −0.414966 | − | 0.0625460i | ||||
\(288\) | −88667.1 | − | 1.18318e6i | −0.0629914 | − | 0.840562i | ||||
\(289\) | −462043. | − | 1.17727e6i | −0.325415 | − | 0.829144i | ||||
\(290\) | 1.22507e6 | − | 5.36738e6i | 0.855394 | − | 3.74772i | ||||
\(291\) | 24221.4 | − | 323213.i | 0.0167675 | − | 0.223746i | ||||
\(292\) | 397723. | − | 122681.i | 0.272976 | − | 0.0842018i | ||||
\(293\) | −247590. | − | 119233.i | −0.168486 | − | 0.0811385i | 0.347740 | − | 0.937591i | \(-0.386949\pi\) |
−0.516226 | + | 0.856452i | \(0.672663\pi\) | |||||||
\(294\) | −70009.3 | − | 121260.i | −0.0472376 | − | 0.0818178i | ||||
\(295\) | −900372. | + | 1.55949e6i | −0.602375 | + | 1.04334i | ||||
\(296\) | 5.02598e6 | − | 3.42665e6i | 3.33420 | − | 2.27322i | ||||
\(297\) | 21990.0 | + | 96344.3i | 0.0144655 | + | 0.0633775i | ||||
\(298\) | −1.43872e6 | + | 216851.i | −0.938500 | + | 0.141456i | ||||
\(299\) | −338543. | + | 424520.i | −0.218996 | + | 0.274612i | ||||
\(300\) | −174718. | −0.112082 | ||||||||
\(301\) | 292138. | − | 1.21717e6i | 0.185854 | − | 0.774349i | ||||
\(302\) | −1.97785e6 | −1.24789 | ||||||||
\(303\) | −71120.0 | + | 89181.6i | −0.0445026 | + | 0.0558044i | ||||
\(304\) | −2.91507e6 | + | 439377.i | −1.80911 | + | 0.272680i | ||||
\(305\) | 303967. | + | 1.33177e6i | 0.187101 | + | 0.819744i | ||||
\(306\) | 785745. | − | 535712.i | 0.479709 | − | 0.327060i | ||||
\(307\) | 201901. | − | 349703.i | 0.122262 | − | 0.211765i | −0.798397 | − | 0.602131i | \(-0.794318\pi\) |
0.920660 | + | 0.390367i | \(0.127652\pi\) | |||||||
\(308\) | −335157. | − | 580508.i | −0.201313 | − | 0.348684i | ||||
\(309\) | −64346.0 | − | 30987.4i | −0.0383377 | − | 0.0184624i | ||||
\(310\) | −5.82151e6 | + | 1.79570e6i | −3.44058 | + | 1.06128i | ||||
\(311\) | 33891.4 | − | 452249.i | 0.0198696 | − | 0.265141i | −0.978418 | − | 0.206637i | \(-0.933748\pi\) |
0.998287 | − | 0.0585036i | \(-0.0186329\pi\) | |||||||
\(312\) | 46930.1 | − | 205614.i | 0.0272938 | − | 0.119582i | ||||
\(313\) | 322151. | + | 820827.i | 0.185865 | + | 0.473577i | 0.993187 | − | 0.116535i | \(-0.0371788\pi\) |
−0.807321 | + | 0.590112i | \(0.799084\pi\) | |||||||
\(314\) | 310984. | + | 4.14979e6i | 0.177998 | + | 2.37521i | ||||
\(315\) | −1.57854e6 | − | 237926.i | −0.896352 | − | 0.135103i | ||||
\(316\) | 3.44360e6 | − | 3.19520e6i | 1.93997 | − | 1.80003i | ||||
\(317\) | −152158. | + | 73275.4i | −0.0850446 | + | 0.0409553i | −0.475923 | − | 0.879487i | \(-0.657886\pi\) |
0.390878 | + | 0.920443i | \(0.372171\pi\) | |||||||
\(318\) | −193134. | − | 131676.i | −0.107100 | − | 0.0730196i | ||||
\(319\) | 279285. | − | 711608.i | 0.153664 | − | 0.391529i | ||||
\(320\) | −310733. | − | 95848.6i | −0.169634 | − | 0.0523252i | ||||
\(321\) | −63023.4 | − | 58477.2i | −0.0341381 | − | 0.0316755i | ||||
\(322\) | 1.49046e6 | + | 1.86898e6i | 0.801088 | + | 1.00453i | ||||
\(323\) | −416783. | − | 522629.i | −0.222281 | − | 0.278732i | ||||
\(324\) | −2.88059e6 | − | 2.67279e6i | −1.52447 | − | 1.41450i | ||||
\(325\) | 249490. | + | 76957.3i | 0.131022 | + | 0.0404149i | ||||
\(326\) | −2.11179e6 | + | 5.38076e6i | −1.10054 | + | 2.80414i | ||||
\(327\) | 125367. | + | 85474.0i | 0.0648358 | + | 0.0442043i | ||||
\(328\) | 2.01838e6 | − | 971999.i | 1.03590 | − | 0.498863i | ||||
\(329\) | −870571. | + | 807772.i | −0.443419 | + | 0.411433i | ||||
\(330\) | −133942. | − | 20188.5i | −0.0677066 | − | 0.0102051i | ||||
\(331\) | −18902.1 | − | 252230.i | −0.00948285 | − | 0.126540i | 0.990453 | − | 0.137849i | \(-0.0440190\pi\) |
−0.999936 | + | 0.0113096i | \(0.996400\pi\) | |||||||
\(332\) | −406353. | − | 1.03537e6i | −0.202329 | − | 0.515526i | ||||
\(333\) | 815553. | − | 3.57317e6i | 0.403034 | − | 1.76581i | ||||
\(334\) | −212662. | + | 2.83778e6i | −0.104310 | + | 1.39192i | ||||
\(335\) | −3.26475e6 | + | 1.00704e6i | −1.58942 | + | 0.490270i | ||||
\(336\) | −362688. | − | 174661.i | −0.175261 | − | 0.0844012i | ||||
\(337\) | 227602. | + | 394219.i | 0.109170 | + | 0.189087i | 0.915434 | − | 0.402468i | \(-0.131847\pi\) |
−0.806264 | + | 0.591555i | \(0.798514\pi\) | |||||||
\(338\) | 1.59634e6 | − | 2.76495e6i | 0.760037 | − | 1.31642i | ||||
\(339\) | 473103. | − | 322556.i | 0.223592 | − | 0.152443i | ||||
\(340\) | 403995. | + | 1.77002e6i | 0.189530 | + | 0.830387i | ||||
\(341\) | −836476. | + | 126078.i | −0.389554 | + | 0.0587158i | ||||
\(342\) | −2.55438e6 | + | 3.20309e6i | −1.18092 | + | 1.48083i | ||||
\(343\) | 2.36992e6 | 1.08768 | ||||||||
\(344\) | 1.69964e6 | + | 4.47687e6i | 0.774393 | + | 2.03975i | ||||
\(345\) | 332884. | 0.150572 | ||||||||
\(346\) | 2.83195e6 | − | 3.55115e6i | 1.27173 | − | 1.59470i | ||||
\(347\) | −688897. | + | 103835.i | −0.307136 | + | 0.0462933i | −0.300802 | − | 0.953687i | \(-0.597254\pi\) |
−0.00633413 | + | 0.999980i | \(0.502016\pi\) | |||||||
\(348\) | −295846. | − | 1.29619e6i | −0.130954 | − | 0.573746i | ||||
\(349\) | 1.84323e6 | − | 1.25670e6i | 0.810059 | − | 0.552289i | −0.0859630 | − | 0.996298i | \(-0.527397\pi\) |
0.896022 | + | 0.444009i | \(0.146444\pi\) | |||||||
\(350\) | 574731. | − | 995463.i | 0.250781 | − | 0.434365i | ||||
\(351\) | −128416. | − | 222423.i | −0.0556355 | − | 0.0963635i | ||||
\(352\) | 411225. | + | 198036.i | 0.176898 | + | 0.0851897i | ||||
\(353\) | −3.24161e6 | + | 999905.i | −1.38460 | + | 0.427093i | −0.895472 | − | 0.445119i | \(-0.853161\pi\) |
−0.489129 | + | 0.872211i | \(0.662685\pi\) | |||||||
\(354\) | −47159.2 | + | 629296.i | −0.0200013 | + | 0.266899i | ||||
\(355\) | −669318. | + | 2.93247e6i | −0.281878 | + | 1.23499i | ||||
\(356\) | 2.71988e6 | + | 6.93014e6i | 1.13743 | + | 2.89813i | ||||
\(357\) | −6821.37 | − | 91024.8i | −0.00283270 | − | 0.0377998i | ||||
\(358\) | −3.29204e6 | − | 496196.i | −1.35756 | − | 0.204619i | ||||
\(359\) | 2.72186e6 | − | 2.52552e6i | 1.11463 | − | 1.03422i | 0.115464 | − | 0.993312i | \(-0.463164\pi\) |
0.999163 | − | 0.0409113i | \(-0.0130261\pi\) | |||||||
\(360\) | 5.50225e6 | − | 2.64975e6i | 2.23761 | − | 1.07758i | ||||
\(361\) | 333544. | + | 227407.i | 0.134706 | + | 0.0918407i | ||||
\(362\) | 612550. | − | 1.56075e6i | 0.245680 | − | 0.625982i | ||||
\(363\) | 327457. | + | 101007.i | 0.130433 | + | 0.0402333i | ||||
\(364\) | 1.27705e6 | + | 1.18493e6i | 0.505190 | + | 0.468748i | ||||
\(365\) | 237741. | + | 298118.i | 0.0934056 | + | 0.117127i | ||||
\(366\) | 298472. | + | 374272.i | 0.116467 | + | 0.146044i | ||||
\(367\) | −1.01122e6 | − | 938277.i | −0.391905 | − | 0.363635i | 0.459469 | − | 0.888194i | \(-0.348040\pi\) |
−0.851374 | + | 0.524559i | \(0.824230\pi\) | |||||||
\(368\) | −3.78869e6 | − | 1.16866e6i | −1.45838 | − | 0.449850i | ||||
\(369\) | 493125. | − | 1.25646e6i | 0.188535 | − | 0.480378i | ||||
\(370\) | 8.38938e6 | + | 5.71978e6i | 3.18585 | + | 2.17208i | ||||
\(371\) | 954783. | − | 459799.i | 0.360139 | − | 0.173434i | ||||
\(372\) | −1.07848e6 | + | 1.00068e6i | −0.404068 | + | 0.374920i | ||||
\(373\) | −405564. | − | 61129.0i | −0.150934 | − | 0.0227497i | 0.0731405 | − | 0.997322i | \(-0.476698\pi\) |
−0.224075 | + | 0.974572i | \(0.571936\pi\) | |||||||
\(374\) | 27338.5 | + | 364807.i | 0.0101064 | + | 0.134860i | ||||
\(375\) | 108040. | + | 275282.i | 0.0396741 | + | 0.101088i | ||||
\(376\) | 1.01097e6 | − | 4.42935e6i | 0.368781 | − | 1.61574i | ||||
\(377\) | −148471. | + | 1.98121e6i | −0.0538007 | + | 0.717921i | ||||
\(378\) | −1.08049e6 | + | 333286.i | −0.388946 | + | 0.119974i | ||||
\(379\) | −2.60603e6 | − | 1.25500e6i | −0.931925 | − | 0.448791i | −0.0946112 | − | 0.995514i | \(-0.530161\pi\) |
−0.837314 | + | 0.546723i | \(0.815875\pi\) | |||||||
\(380\) | −3.91071e6 | − | 6.77355e6i | −1.38930 | − | 2.40634i | ||||
\(381\) | 59285.6 | − | 102686.i | 0.0209236 | − | 0.0362408i | ||||
\(382\) | −3.13408e6 | + | 2.13678e6i | −1.09888 | + | 0.749205i | ||||
\(383\) | −461621. | − | 2.02249e6i | −0.160801 | − | 0.704515i | −0.989465 | − | 0.144769i | \(-0.953756\pi\) |
0.828665 | − | 0.559746i | \(-0.189101\pi\) | |||||||
\(384\) | −466816. | + | 70361.2i | −0.161554 | + | 0.0243503i | ||||
\(385\) | 382882. | − | 480119.i | 0.131648 | − | 0.165081i | ||||
\(386\) | −1.46581e6 | −0.500736 | ||||||||
\(387\) | 2.58536e6 | + | 1.28078e6i | 0.877494 | + | 0.434706i | ||||
\(388\) | −1.02423e7 | −3.45395 | ||||||||
\(389\) | 1.80809e6 | − | 2.26727e6i | 0.605822 | − | 0.759677i | −0.380450 | − | 0.924801i | \(-0.624231\pi\) |
0.986273 | + | 0.165124i | \(0.0528025\pi\) | |||||||
\(390\) | 348106. | − | 52468.6i | 0.115891 | − | 0.0174678i | ||||
\(391\) | −200055. | − | 876497.i | −0.0661770 | − | 0.289940i | ||||
\(392\) | −2.00646e6 | + | 1.36798e6i | −0.659502 | + | 0.449641i | ||||
\(393\) | 208535. | − | 361194.i | 0.0681080 | − | 0.117966i | ||||
\(394\) | −392915. | − | 680549.i | −0.127514 | − | 0.220861i | ||||
\(395\) | 3.87745e6 | + | 1.86728e6i | 1.25041 | + | 0.602168i | ||||
\(396\) | 1.47640e6 | − | 455410.i | 0.473116 | − | 0.145937i | ||||
\(397\) | −241719. | + | 3.22552e6i | −0.0769724 | + | 1.02712i | 0.816306 | + | 0.577620i | \(0.196019\pi\) |
−0.893278 | + | 0.449505i | \(0.851601\pi\) | |||||||
\(398\) | 1.58316e6 | − | 6.93628e6i | 0.500977 | − | 2.19492i | ||||
\(399\) | 143666. | + | 366056.i | 0.0451775 | + | 0.115111i | ||||
\(400\) | 142470. | + | 1.90114e6i | 0.0445220 | + | 0.594105i | ||||
\(401\) | 2.96258e6 | + | 446537.i | 0.920046 | + | 0.138675i | 0.591954 | − | 0.805971i | \(-0.298357\pi\) |
0.328091 | + | 0.944646i | \(0.393595\pi\) | |||||||
\(402\) | −877687. | + | 814375.i | −0.270879 | + | 0.251339i | ||||
\(403\) | 1.98078e6 | − | 953895.i | 0.607540 | − | 0.292576i | ||||
\(404\) | 2.97823e6 | + | 2.03053e6i | 0.907832 | + | 0.618949i | ||||
\(405\) | 1.31523e6 | − | 3.35116e6i | 0.398442 | − | 1.01521i | ||||
\(406\) | 8.35825e6 | + | 2.57818e6i | 2.51652 | + | 0.776244i | ||||
\(407\) | 1.03352e6 | + | 958966.i | 0.309266 | + | 0.286957i | ||||
\(408\) | 217722. | + | 273015.i | 0.0647519 | + | 0.0811964i | ||||
\(409\) | 1.21318e6 | + | 1.52128e6i | 0.358606 | + | 0.449677i | 0.928107 | − | 0.372313i | \(-0.121435\pi\) |
−0.569502 | + | 0.821990i | \(0.692864\pi\) | |||||||
\(410\) | 2.74117e6 | + | 2.54344e6i | 0.805336 | + | 0.747242i | ||||
\(411\) | −410198. | − | 126529.i | −0.119781 | − | 0.0369476i | ||||
\(412\) | −824521. | + | 2.10084e6i | −0.239309 | + | 0.609749i | ||||
\(413\) | −2.36385e6 | − | 1.61164e6i | −0.681937 | − | 0.464937i | ||||
\(414\) | −4.96437e6 | + | 2.39072e6i | −1.42352 | + | 0.685531i | ||||
\(415\) | 746962. | − | 693079.i | 0.212901 | − | 0.197543i | ||||
\(416\) | −1.17297e6 | − | 176797.i | −0.332319 | − | 0.0500890i | ||||
\(417\) | −33063.3 | − | 441199.i | −0.00931120 | − | 0.124249i | ||||
\(418\) | −575782. | − | 1.46707e6i | −0.161182 | − | 0.410686i | ||||
\(419\) | −851662. | + | 3.73137e6i | −0.236991 | + | 1.03833i | 0.706704 | + | 0.707510i | \(0.250181\pi\) |
−0.943695 | + | 0.330817i | \(0.892676\pi\) | |||||||
\(420\) | 79813.6 | − | 1.06504e6i | 0.0220777 | − | 0.294606i | ||||
\(421\) | 2.05105e6 | − | 632667.i | 0.563991 | − | 0.173968i | 0.000367308 | − | 1.00000i | \(-0.499883\pi\) |
0.563624 | + | 0.826032i | \(0.309407\pi\) | |||||||
\(422\) | −6.31175e6 | − | 3.03958e6i | −1.72532 | − | 0.830869i | ||||
\(423\) | −1.36868e6 | − | 2.37063e6i | −0.371923 | − | 0.644189i | ||||
\(424\) | −2.02704e6 | + | 3.51094e6i | −0.547580 | + | 0.948437i | ||||
\(425\) | −357180. | + | 243521.i | −0.0959213 | + | 0.0653981i | ||||
\(426\) | 234559. | + | 1.02767e6i | 0.0626221 | + | 0.274365i | ||||
\(427\) | −2.14605e6 | + | 323464.i | −0.569599 | + | 0.0858533i | ||||
\(428\) | −1.69390e6 | + | 2.12408e6i | −0.446970 | + | 0.560482i | ||||
\(429\) | 48882.1 | 0.0128235 | ||||||||
\(430\) | −5.91974e6 | + | 5.37105e6i | −1.54394 | + | 1.40084i | ||||
\(431\) | 3.19023e6 | 0.827235 | 0.413618 | − | 0.910451i | \(-0.364265\pi\) | ||||
0.413618 | + | 0.910451i | \(0.364265\pi\) | |||||||
\(432\) | 1.16928e6 | − | 1.46623e6i | 0.301447 | − | 0.378002i | ||||
\(433\) | −2.61410e6 | + | 394012.i | −0.670042 | + | 0.100993i | −0.475248 | − | 0.879852i | \(-0.657642\pi\) |
−0.194794 | + | 0.980844i | \(0.562404\pi\) | |||||||
\(434\) | −2.15379e6 | − | 9.43639e6i | −0.548883 | − | 2.40481i | ||||
\(435\) | 1.00637e6 | − | 686134.i | 0.254998 | − | 0.173854i | ||||
\(436\) | 2.39740e6 | − | 4.15241e6i | 0.603982 | − | 1.04613i | ||||
\(437\) | 1.93655e6 | + | 3.35420e6i | 0.485093 | + | 0.840206i | ||||
\(438\) | 120394. | + | 57978.7i | 0.0299861 | + | 0.0144405i | ||||
\(439\) | −1.12289e6 | + | 346367.i | −0.278085 | + | 0.0857778i | −0.430661 | − | 0.902514i | \(-0.641719\pi\) |
0.152576 | + | 0.988292i | \(0.451243\pi\) | |||||||
\(440\) | −175562. | + | 2.34271e6i | −0.0432312 | + | 0.576881i | ||||
\(441\) | −325584. | + | 1.42648e6i | −0.0797198 | + | 0.349275i | ||||
\(442\) | −347355. | − | 885046.i | −0.0845703 | − | 0.215482i | ||||
\(443\) | 6860.19 | + | 91542.9i | 0.00166084 | + | 0.0221623i | 0.997973 | − | 0.0636443i | \(-0.0202723\pi\) |
−0.996312 | + | 0.0858066i | \(0.972653\pi\) | |||||||
\(444\) | 2.42466e6 | + | 365459.i | 0.583706 | + | 0.0879795i | ||||
\(445\) | −4.99971e6 | + | 4.63905e6i | −1.19686 | + | 1.11053i | ||||
\(446\) | −2.66434e6 | + | 1.28308e6i | −0.634238 | + | 0.305433i | ||||
\(447\) | −265964. | − | 181331.i | −0.0629584 | − | 0.0429243i | ||||
\(448\) | 188749. | − | 480924.i | 0.0444313 | − | 0.113209i | ||||
\(449\) | 924643. | + | 285215.i | 0.216450 | + | 0.0667661i | 0.401084 | − | 0.916041i | \(-0.368634\pi\) |
−0.184633 | + | 0.982807i | \(0.559110\pi\) | |||||||
\(450\) | 1.94220e6 | + | 1.80209e6i | 0.452128 | + | 0.419514i | ||||
\(451\) | 323736. | + | 405952.i | 0.0749462 | + | 0.0939796i | ||||
\(452\) | −1.12816e7 | − | 1.41467e7i | −2.59732 | − | 3.25693i | ||||
\(453\) | −320768. | − | 297629.i | −0.0734421 | − | 0.0681443i | ||||
\(454\) | 8.15967e6 | + | 2.51692e6i | 1.85794 | + | 0.573100i | ||||
\(455\) | −583083. | + | 1.48567e6i | −0.132039 | + | 0.336430i | ||||
\(456\) | −1.24297e6 | − | 847441.i | −0.279929 | − | 0.190852i | ||||
\(457\) | −3.95586e6 | + | 1.90504e6i | −0.886033 | + | 0.426691i | −0.820824 | − | 0.571181i | \(-0.806486\pi\) |
−0.0652088 | + | 0.997872i | \(0.520771\pi\) | |||||||
\(458\) | 8.81531e6 | − | 8.17941e6i | 1.96369 | − | 1.82204i | ||||
\(459\) | 420499. | + | 63380.0i | 0.0931608 | + | 0.0140417i | ||||
\(460\) | −786103. | − | 1.04898e7i | −0.173215 | − | 2.31139i | ||||
\(461\) | 1.09655e6 | + | 2.79395e6i | 0.240312 | + | 0.612304i | 0.999244 | − | 0.0388649i | \(-0.0123742\pi\) |
−0.758933 | + | 0.651169i | \(0.774279\pi\) | |||||||
\(462\) | 47888.0 | − | 209811.i | 0.0104381 | − | 0.0457323i | ||||
\(463\) | −319415. | + | 4.26230e6i | −0.0692473 | + | 0.924041i | 0.849092 | + | 0.528246i | \(0.177150\pi\) |
−0.918339 | + | 0.395795i | \(0.870469\pi\) | |||||||
\(464\) | −1.38628e7 | + | 4.27610e6i | −2.98920 | + | 0.922047i | ||||
\(465\) | −1.21435e6 | − | 584802.i | −0.260443 | − | 0.125423i | ||||
\(466\) | 2.48667e6 | + | 4.30703e6i | 0.530460 | + | 0.918783i | ||||
\(467\) | 2.77011e6 | − | 4.79797e6i | 0.587766 | − | 1.01804i | −0.406759 | − | 0.913536i | \(-0.633341\pi\) |
0.994524 | − | 0.104505i | \(-0.0333257\pi\) | |||||||
\(468\) | −3.31775e6 | + | 2.26200e6i | −0.700210 | + | 0.477395i | ||||
\(469\) | −1.20786e6 | − | 5.29200e6i | −0.253563 | − | 1.11093i | ||||
\(470\) | 7.49892e6 | − | 1.13028e6i | 1.56586 | − | 0.236016i | ||||
\(471\) | −574031. | + | 719813.i | −0.119229 | + | 0.149509i | ||||
\(472\) | 1.09449e7 | 2.26129 | ||||||||
\(473\) | −923957. | + | 614955.i | −0.189889 | + | 0.126383i | ||||
\(474\) | 1.50819e6 | 0.308326 | ||||||||
\(475\) | 1.16116e6 | − | 1.45605e6i | 0.236134 | − | 0.296102i | ||||
\(476\) | −2.85226e6 | + | 429909.i | −0.576994 | + | 0.0869679i | ||||
\(477\) | 543537. | + | 2.38139e6i | 0.109379 | + | 0.479220i | ||||
\(478\) | −9.41252e6 | + | 6.41735e6i | −1.88424 | + | 1.28465i | ||||
\(479\) | −537588. | + | 931131.i | −0.107056 | + | 0.185426i | −0.914576 | − | 0.404413i | \(-0.867476\pi\) |
0.807520 | + | 0.589840i | \(0.200809\pi\) | |||||||
\(480\) | 363617. | + | 629803.i | 0.0720346 | + | 0.124768i | ||||
\(481\) | −3.30134e6 | − | 1.58984e6i | −0.650620 | − | 0.313322i | ||||
\(482\) | 1.48902e7 | − | 4.59301e6i | 2.91932 | − | 0.900491i | ||||
\(483\) | −39523.0 | + | 527398.i | −0.00770872 | + | 0.102866i | ||||
\(484\) | 2.40964e6 | − | 1.05573e7i | 0.467562 | − | 2.04852i | ||||
\(485\) | −3.42809e6 | − | 8.73463e6i | −0.661756 | − | 1.68613i | ||||
\(486\) | −293170. | − | 3.91209e6i | −0.0563027 | − | 0.751307i | ||||
\(487\) | 4.18642e6 | + | 631001.i | 0.799872 | + | 0.120561i | 0.536244 | − | 0.844063i | \(-0.319843\pi\) |
0.263628 | + | 0.964624i | \(0.415081\pi\) | |||||||
\(488\) | 6.08625e6 | − | 5.64721e6i | 1.15691 | − | 1.07346i | ||||
\(489\) | −1.15219e6 | + | 554868.i | −0.217898 | + | 0.104934i | ||||
\(490\) | −3.34920e6 | − | 2.28344e6i | −0.630160 | − | 0.429636i | ||||
\(491\) | −2.16952e6 | + | 5.52785e6i | −0.406125 | + | 1.03479i | 0.570777 | + | 0.821105i | \(0.306642\pi\) |
−0.976903 | + | 0.213685i | \(0.931453\pi\) | |||||||
\(492\) | 862921. | + | 266176.i | 0.160716 | + | 0.0495742i | ||||
\(493\) | −2.41143e6 | − | 2.23748e6i | −0.446845 | − | 0.414611i | ||||
\(494\) | 2.55379e6 | + | 3.20235e6i | 0.470834 | + | 0.590407i | ||||
\(495\) | 882530. | + | 1.10666e6i | 0.161889 | + | 0.203002i | ||||
\(496\) | 1.17680e7 | + | 1.09191e7i | 2.14782 | + | 1.99289i | ||||
\(497\) | −4.56654e6 | − | 1.40859e6i | −0.829270 | − | 0.255796i | ||||
\(498\) | 130461. | − | 332410.i | 0.0235726 | − | 0.0600621i | ||||
\(499\) | −4.19751e6 | − | 2.86181e6i | −0.754641 | − | 0.514505i | 0.123829 | − | 0.992304i | \(-0.460483\pi\) |
−0.878470 | + | 0.477798i | \(0.841435\pi\) | |||||||
\(500\) | 8.41954e6 | − | 4.05464e6i | 1.50613 | − | 0.725315i | ||||
\(501\) | −461523. | + | 428231.i | −0.0821484 | + | 0.0762226i | ||||
\(502\) | 1.40008e7 | + | 2.11029e6i | 2.47967 | + | 0.373751i | ||||
\(503\) | 638076. | + | 8.51454e6i | 0.112448 | + | 1.50052i | 0.713131 | + | 0.701030i | \(0.247276\pi\) |
−0.600683 | + | 0.799487i | \(0.705105\pi\) | |||||||
\(504\) | 3.54479e6 | + | 9.03199e6i | 0.621605 | + | 1.58382i | ||||
\(505\) | −734823. | + | 3.21947e6i | −0.128219 | + | 0.561766i | ||||
\(506\) | 158399. | − | 2.11369e6i | 0.0275028 | − | 0.366999i | ||||
\(507\) | 674969. | − | 208200.i | 0.116618 | − | 0.0359718i | ||||
\(508\) | −3.37583e6 | − | 1.62571e6i | −0.580391 | − | 0.279502i | ||||
\(509\) | −4.14350e6 | − | 7.17676e6i | −0.708881 | − | 1.22782i | −0.965273 | − | 0.261245i | \(-0.915867\pi\) |
0.256392 | − | 0.966573i | \(-0.417466\pi\) | |||||||
\(510\) | −291443. | + | 504793.i | −0.0496167 | + | 0.0859386i | ||||
\(511\) | −500545. | + | 341266.i | −0.0847990 | + | 0.0578150i | ||||
\(512\) | 2.95808e6 | + | 1.29602e7i | 0.498695 | + | 2.18492i | ||||
\(513\) | −1.81153e6 | + | 273044.i | −0.303915 | + | 0.0458078i | ||||
\(514\) | −4.35479e6 | + | 5.46073e6i | −0.727042 | + | 0.911682i | ||||
\(515\) | −2.06758e6 | −0.343513 | ||||||||
\(516\) | −725227. | + | 1.78889e6i | −0.119908 | + | 0.295774i | ||||
\(517\) | 1.05302e6 | 0.173265 | ||||||||
\(518\) | −1.00581e7 | + | 1.26124e7i | −1.64699 | + | 2.06526i | ||||
\(519\) | 993669. | − | 149772.i | 0.161929 | − | 0.0244068i | ||||
\(520\) | −1.35863e6 | − | 5.95254e6i | −0.220340 | − | 0.965370i | ||||
\(521\) | −7.85448e6 | + | 5.35509e6i | −1.26772 | + | 0.864316i | −0.995203 | − | 0.0978352i | \(-0.968808\pi\) |
−0.272516 | + | 0.962151i | \(0.587856\pi\) | |||||||
\(522\) | −1.00806e7 | + | 1.74601e7i | −1.61923 | + | 2.80459i | ||||
\(523\) | 2.40579e6 | + | 4.16694e6i | 0.384594 | + | 0.666137i | 0.991713 | − | 0.128475i | \(-0.0410081\pi\) |
−0.607119 | + | 0.794611i | \(0.707675\pi\) | |||||||
\(524\) | −1.18744e7 | − | 5.71839e6i | −1.88922 | − | 0.909799i | ||||
\(525\) | 243009. | − | 74958.3i | 0.0384790 | − | 0.0118692i | ||||
\(526\) | 747273. | − | 9.97166e6i | 0.117765 | − | 1.57146i | ||||
\(527\) | −810012. | + | 3.54890e6i | −0.127047 | + | 0.556630i | ||||
\(528\) | 130403. | + | 332262.i | 0.0203565 | + | 0.0518676i | ||||
\(529\) | −91717.6 | − | 1.22389e6i | −0.0142499 | − | 0.190152i | ||||
\(530\) | −6.69150e6 | − | 1.00858e6i | −1.03475 | − | 0.155963i | ||||
\(531\) | 4.83406e6 | − | 4.48535e6i | 0.744005 | − | 0.690336i | ||||
\(532\) | 1.11959e7 | − | 5.39164e6i | 1.71506 | − | 0.825927i | ||||
\(533\) | −1.11497e6 | − | 760174.i | −0.169999 | − | 0.115903i | ||||
\(534\) | −873228. | + | 2.22495e6i | −0.132518 | + | 0.337650i | ||||
\(535\) | −2.37838e6 | − | 733632.i | −0.359249 | − | 0.110814i | ||||
\(536\) | 1.52223e7 | + | 1.41242e7i | 2.28859 | + | 2.12350i | ||||
\(537\) | −459237. | − | 575864.i | −0.0687228 | − | 0.0861756i | ||||
\(538\) | 1.91784e6 | + | 2.40490e6i | 0.285665 | + | 0.358213i | ||||
\(539\) | −412600. | − | 382837.i | −0.0611727 | − | 0.0567600i | ||||
\(540\) | 4.75458e6 | + | 1.46659e6i | 0.701662 | + | 0.216434i | ||||
\(541\) | 116501. | − | 296839.i | 0.0171134 | − | 0.0436042i | −0.922062 | − | 0.387043i | \(-0.873497\pi\) |
0.939175 | + | 0.343439i | \(0.111592\pi\) | |||||||
\(542\) | −1.29959e7 | − | 8.86045e6i | −1.90024 | − | 1.29556i | ||||
\(543\) | 334208. | − | 160946.i | 0.0486426 | − | 0.0234250i | ||||
\(544\) | 1.43977e6 | − | 1.33591e6i | 0.208592 | − | 0.193545i | ||||
\(545\) | 4.34361e6 | + | 654693.i | 0.626411 | + | 0.0944162i | ||||
\(546\) | 41797.2 | + | 557744.i | 0.00600019 | + | 0.0800670i | ||||
\(547\) | −1.07221e6 | − | 2.73195e6i | −0.153219 | − | 0.390395i | 0.833569 | − | 0.552416i | \(-0.186294\pi\) |
−0.986787 | + | 0.162021i | \(0.948199\pi\) | |||||||
\(548\) | −3.01850e6 | + | 1.32249e7i | −0.429378 | + | 1.88123i | ||||
\(549\) | 373832. | − | 4.98844e6i | 0.0529353 | − | 0.706373i | ||||
\(550\) | −973924. | + | 300416.i | −0.137284 | + | 0.0423464i | ||||
\(551\) | 1.27682e7 | + | 6.14884e6i | 1.79164 | + | 0.862808i | ||||
\(552\) | −1.01163e6 | − | 1.75220e6i | −0.141310 | − | 0.244757i | ||||
\(553\) | −3.41876e6 | + | 5.92146e6i | −0.475396 | + | 0.823410i | ||||
\(554\) | 1.62596e7 | − | 1.10856e7i | 2.25079 | − | 1.53456i | ||||
\(555\) | 499872. | + | 2.19008e6i | 0.0688853 | + | 0.301806i | ||||
\(556\) | −1.38249e7 | + | 2.08377e6i | −1.89660 | + | 0.285867i | ||||
\(557\) | −3.73031e6 | + | 4.67766e6i | −0.509456 | + | 0.638837i | −0.968333 | − | 0.249662i | \(-0.919680\pi\) |
0.458877 | + | 0.888500i | \(0.348252\pi\) | |||||||
\(558\) | 2.23099e7 | 3.03327 | ||||||||
\(559\) | 1.82354e6 | − | 2.23502e6i | 0.246823 | − | 0.302519i | ||||
\(560\) | −1.16539e7 | −1.57037 | ||||||||
\(561\) | −50462.9 | + | 63278.5i | −0.00676963 | + | 0.00848885i | ||||
\(562\) | 387952. | − | 58474.4i | 0.0518128 | − | 0.00780953i | ||||
\(563\) | 1.43975e6 | + | 6.30795e6i | 0.191433 | + | 0.838721i | 0.975842 | + | 0.218477i | \(0.0701090\pi\) |
−0.784410 | + | 0.620243i | \(0.787034\pi\) | |||||||
\(564\) | 1.51317e6 | − | 1.03166e6i | 0.200304 | − | 0.136565i | ||||
\(565\) | 8.28839e6 | − | 1.43559e7i | 1.09232 | − | 1.89195i | ||||
\(566\) | −1.31963e7 | − | 2.28566e7i | −1.73145 | − | 2.99896i | ||||
\(567\) | 5.15319e6 | + | 2.48164e6i | 0.673160 | + | 0.324177i | ||||
\(568\) | 1.74697e7 | − | 5.38868e6i | 2.27203 | − | 0.700828i | ||||
\(569\) | 253906. | − | 3.38814e6i | 0.0328770 | − | 0.438713i | −0.956340 | − | 0.292256i | \(-0.905594\pi\) |
0.989217 | − | 0.146457i | \(-0.0467870\pi\) | |||||||
\(570\) | 558772. | − | 2.44814e6i | 0.0720356 | − | 0.315609i | ||||
\(571\) | −3.42699e6 | − | 8.73183e6i | −0.439868 | − | 1.12077i | −0.963235 | − | 0.268659i | \(-0.913420\pi\) |
0.523367 | − | 0.852107i | \(-0.324676\pi\) | |||||||
\(572\) | −115435. | − | 1.54037e6i | −0.0147518 | − | 0.196850i | ||||
\(573\) | −829831. | − | 125077.i | −0.105585 | − | 0.0159144i | ||||
\(574\) | −4.35510e6 | + | 4.04094e6i | −0.551720 | + | 0.511921i | ||||
\(575\) | 2.25668e6 | − | 1.08676e6i | 0.284643 | − | 0.137077i | ||||
\(576\) | 983910. | + | 670818.i | 0.123566 | + | 0.0842459i | ||||
\(577\) | −4.45862e6 | + | 1.13604e7i | −0.557521 | + | 1.42054i | 0.322939 | + | 0.946420i | \(0.395329\pi\) |
−0.880460 | + | 0.474121i | \(0.842766\pi\) | |||||||
\(578\) | −1.22607e7 | − | 3.78194e6i | −1.52650 | − | 0.470863i | ||||
\(579\) | −237725. | − | 220577.i | −0.0294699 | − | 0.0273441i | ||||
\(580\) | −2.39980e7 | − | 3.00925e7i | −2.96213 | − | 3.71439i | ||||
\(581\) | 1.00938e6 | + | 1.26572e6i | 0.124055 | + | 0.155560i | ||||
\(582\) | −2.41050e6 | − | 2.23662e6i | −0.294985 | − | 0.273706i | ||||
\(583\) | −897895. | − | 276964.i | −0.109409 | − | 0.0337483i | ||||
\(584\) | 846708. | − | 2.15738e6i | 0.102731 | − | 0.261754i | ||||
\(585\) | −3.03950e6 | − | 2.07229e6i | −0.367208 | − | 0.250358i | ||||
\(586\) | −2.51189e6 | + | 1.20966e6i | −0.302174 | + | 0.145519i | ||||
\(587\) | −5.80254e6 | + | 5.38397e6i | −0.695061 | + | 0.644922i | −0.946408 | − | 0.322975i | \(-0.895317\pi\) |
0.251347 | + | 0.967897i | \(0.419127\pi\) | |||||||
\(588\) | −967971. | − | 145898.i | −0.115457 | − | 0.0174023i | ||||
\(589\) | −1.17192e6 | − | 1.56381e7i | −0.139190 | − | 1.85736i | ||||
\(590\) | 6.67451e6 | + | 1.70064e7i | 0.789385 | + | 2.01132i | ||||
\(591\) | 38686.9 | − | 169498.i | 0.00455612 | − | 0.0199617i | ||||
\(592\) | 1.99948e6 | − | 2.66812e7i | 0.234483 | − | 3.12896i | ||||
\(593\) | 308353. | − | 95114.3i | 0.0360090 | − | 0.0111073i | −0.276698 | − | 0.960957i | \(-0.589240\pi\) |
0.312707 | + | 0.949850i | \(0.398764\pi\) | |||||||
\(594\) | 903300. | + | 435007.i | 0.105043 | + | 0.0505859i | ||||
\(595\) | −1.32128e6 | − | 2.28853e6i | −0.153004 | − | 0.265011i | ||||
\(596\) | −5.08602e6 | + | 8.80924e6i | −0.586492 | + | 1.01583i | ||||
\(597\) | 1.30054e6 | − | 886693.i | 0.149344 | − | 0.101821i | ||||
\(598\) | 1.22581e6 | + | 5.37064e6i | 0.140175 | + | 0.614148i | ||||
\(599\) | 283304. | − | 42701.2i | 0.0322616 | − | 0.00486265i | −0.132892 | − | 0.991131i | \(-0.542426\pi\) |
0.165153 | + | 0.986268i | \(0.447188\pi\) | |||||||
\(600\) | −606576. | + | 760622.i | −0.0687871 | + | 0.0862563i | ||||
\(601\) | −1.03167e6 | −0.116508 | −0.0582538 | − | 0.998302i | \(-0.518553\pi\) | ||||
−0.0582538 | + | 0.998302i | \(0.518553\pi\) | |||||||
\(602\) | −7.80668e6 | − | 1.00165e7i | −0.877961 | − | 1.12649i | ||||
\(603\) | 1.25116e7 | 1.40126 | ||||||||
\(604\) | −8.62137e6 | + | 1.08109e7i | −0.961577 | + | 1.20578i | ||||
\(605\) | 9.80984e6 | − | 1.47859e6i | 1.08962 | − | 0.164233i | ||||
\(606\) | 257515. | + | 1.12824e6i | 0.0284853 | + | 0.124802i | ||||
\(607\) | −1.03224e7 | + | 7.03767e6i | −1.13712 | + | 0.775277i | −0.977298 | − | 0.211868i | \(-0.932045\pi\) |
−0.159824 | + | 0.987145i | \(0.551093\pi\) | |||||||
\(608\) | −4.23068e6 | + | 7.32775e6i | −0.464142 | + | 0.803918i | ||||
\(609\) | 967577. | + | 1.67589e6i | 0.105716 | + | 0.183106i | ||||
\(610\) | 1.24863e7 | + | 6.01309e6i | 1.35866 | + | 0.654294i | ||||
\(611\) | −2.61515e6 | + | 806666.i | −0.283396 | + | 0.0874160i | ||||
\(612\) | 496851. | − | 6.63002e6i | 0.0536226 | − | 0.715544i | ||||
\(613\) | 1.58402e6 | − | 6.94005e6i | 0.170259 | − | 0.745953i | −0.815633 | − | 0.578569i | \(-0.803611\pi\) |
0.985892 | − | 0.167383i | \(-0.0535317\pi\) | |||||||
\(614\) | −1.49670e6 | − | 3.81354e6i | −0.160219 | − | 0.408232i | ||||
\(615\) | 61824.6 | + | 824991.i | 0.00659133 | + | 0.0879552i | ||||
\(616\) | −3.69078e6 | − | 556295.i | −0.391891 | − | 0.0590681i | ||||
\(617\) | 320850. | − | 297705.i | 0.0339304 | − | 0.0314828i | −0.663025 | − | 0.748597i | \(-0.730728\pi\) |
0.696956 | + | 0.717114i | \(0.254537\pi\) | |||||||
\(618\) | −652816. | + | 314379.i | −0.0687574 | + | 0.0331118i | ||||
\(619\) | 5.67299e6 | + | 3.86778e6i | 0.595093 | + | 0.405728i | 0.823071 | − | 0.567939i | \(-0.192259\pi\) |
−0.227977 | + | 0.973666i | \(0.573211\pi\) | |||||||
\(620\) | −1.55605e7 | + | 3.96476e7i | −1.62572 | + | 4.14227i | ||||
\(621\) | −2.35443e6 | − | 726244.i | −0.244994 | − | 0.0755708i | ||||
\(622\) | −3.37285e6 | − | 3.12955e6i | −0.349559 | − | 0.324344i | ||||
\(623\) | −6.75617e6 | − | 8.47197e6i | −0.697398 | − | 0.874509i | ||||
\(624\) | −578383. | − | 725269.i | −0.0594640 | − | 0.0745655i | ||||
\(625\) | 8.78984e6 | + | 8.15578e6i | 0.900080 | + | 0.835152i | ||||
\(626\) | 8.54856e6 | + | 2.63688e6i | 0.871881 | + | 0.268940i | ||||
\(627\) | 127386. | − | 324574.i | 0.0129406 | − | 0.0329720i | ||||
\(628\) | 2.40383e7 | + | 1.63890e7i | 2.43223 | + | 1.65826i | ||||
\(629\) | 5.46617e6 | − | 2.63237e6i | 0.550880 | − | 0.265290i | ||||
\(630\) | −1.18723e7 | + | 1.10159e7i | −1.19175 | + | 1.10578i | ||||
\(631\) | 9.53006e6 | + | 1.43643e6i | 0.952845 | + | 0.143618i | 0.607025 | − | 0.794683i | \(-0.292363\pi\) |
0.345820 | + | 0.938301i | \(0.387601\pi\) | |||||||
\(632\) | −1.95475e6 | − | 2.60844e7i | −0.194670 | − | 2.59769i | ||||
\(633\) | −566242. | − | 1.44276e6i | −0.0561685 | − | 0.143115i | ||||
\(634\) | −381263. | + | 1.67042e6i | −0.0376705 | + | 0.165045i | ||||
\(635\) | 256522. | − | 3.42305e6i | 0.0252459 | − | 0.336883i | ||||
\(636\) | −1.56160e6 | + | 481691.i | −0.153083 | + | 0.0472200i | ||||
\(637\) | 1.31796e6 | + | 634694.i | 0.128692 | + | 0.0619749i | ||||
\(638\) | −3.87783e6 | − | 6.71660e6i | −0.377170 | − | 0.653277i | ||||
\(639\) | 5.50753e6 | − | 9.53932e6i | 0.533586 | − | 0.924199i | ||||
\(640\) | −1.12922e7 | + | 7.69889e6i | −1.08975 | + | 0.742982i | ||||
\(641\) | 418314. | + | 1.83275e6i | 0.0402121 | + | 0.176181i | 0.991046 | − | 0.133520i | \(-0.0426281\pi\) |
−0.950834 | + | 0.309701i | \(0.899771\pi\) | |||||||
\(642\) | −862498. | + | 130001.i | −0.0825887 | + | 0.0124482i | ||||
\(643\) | 1.10384e7 | − | 1.38417e7i | 1.05288 | − | 1.32027i | 0.107534 | − | 0.994201i | \(-0.465704\pi\) |
0.945346 | − | 0.326069i | \(-0.105724\pi\) | |||||||
\(644\) | 1.67127e7 | 1.58793 | ||||||||
\(645\) | −1.76831e6 | − | 19731.5i | −0.167363 | − | 0.00186750i | ||||
\(646\) | −6.78186e6 | −0.639393 | ||||||||
\(647\) | −1.78691e6 | + | 2.24072e6i | −0.167820 | + | 0.210439i | −0.858629 | − | 0.512598i | \(-0.828683\pi\) |
0.690809 | + | 0.723037i | \(0.257255\pi\) | |||||||
\(648\) | −2.16364e7 | + | 3.26117e6i | −2.02418 | + | 0.305096i | ||||
\(649\) | 564484. | + | 2.47316e6i | 0.0526065 | + | 0.230484i | ||||
\(650\) | 2.18858e6 | − | 1.49215e6i | 0.203179 | − | 0.138525i | ||||
\(651\) | 1.07070e6 | − | 1.85450e6i | 0.0990181 | − | 0.171504i | ||||
\(652\) | 2.02059e7 | + | 3.49976e7i | 1.86148 | + | 3.22418i | ||||
\(653\) | 1.35163e7 | + | 6.50913e6i | 1.24044 | + | 0.597365i | 0.934933 | − | 0.354824i | \(-0.115459\pi\) |
0.305508 | + | 0.952189i | \(0.401174\pi\) | |||||||
\(654\) | 1.47100e6 | − | 453742.i | 0.134483 | − | 0.0414825i | ||||
\(655\) | 902307. | − | 1.20404e7i | 0.0821771 | − | 1.09658i | ||||
\(656\) | 2.19265e6 | − | 9.60663e6i | 0.198934 | − | 0.871588i | ||||
\(657\) | −510152. | − | 1.29985e6i | −0.0461090 | − | 0.117484i | ||||
\(658\) | 900397. | + | 1.20150e7i | 0.0810717 | + | 1.08183i | ||||
\(659\) | −9.51352e6 | − | 1.43393e6i | −0.853351 | − | 0.128622i | −0.292222 | − | 0.956350i | \(-0.594395\pi\) |
−0.561129 | + | 0.827728i | \(0.689633\pi\) | |||||||
\(660\) | −694198. | + | 644121.i | −0.0620331 | + | 0.0575583i | ||||
\(661\) | −1.89007e7 | + | 9.10209e6i | −1.68257 | + | 0.810284i | −0.685996 | + | 0.727605i | \(0.740633\pi\) |
−0.996576 | + | 0.0826785i | \(0.973653\pi\) | |||||||
\(662\) | −2.12025e6 | − | 1.44556e6i | −0.188037 | − | 0.128201i | ||||
\(663\) | 76848.8 | − | 195808.i | 0.00678975 | − | 0.0173000i | ||||
\(664\) | −5.91816e6 | − | 1.82551e6i | −0.520915 | − | 0.160681i | ||||
\(665\) | 8.34527e6 | + | 7.74328e6i | 0.731790 | + | 0.679002i | ||||
\(666\) | −2.31835e7 | − | 2.90712e7i | −2.02532 | − | 2.53967i | ||||
\(667\) | 1.18836e7 | + | 1.49015e7i | 1.03427 | + | 1.29693i | ||||
\(668\) | 1.45843e7 | + | 1.35322e7i | 1.26457 | + | 1.17335i | ||||
\(669\) | −625183. | − | 192843.i | −0.0540059 | − | 0.0166586i | ||||
\(670\) | −1.26635e7 | + | 3.22660e7i | −1.08985 | + | 2.77689i | ||||
\(671\) | 1.58997e6 | + | 1.08402e6i | 0.136327 | + | 0.0929465i | ||||
\(672\) | −1.04099e6 | + | 501313.i | −0.0889247 | + | 0.0428239i | ||||
\(673\) | 8.43740e6 | − | 7.82877e6i | 0.718077 | − | 0.666278i | −0.233965 | − | 0.972245i | \(-0.575170\pi\) |
0.952042 | + | 0.305967i | \(0.0989796\pi\) | |||||||
\(674\) | 4.56665e6 | + | 688311.i | 0.387211 | + | 0.0583627i | ||||
\(675\) | 88536.2 | + | 1.18143e6i | 0.00747931 | + | 0.0998044i | ||||
\(676\) | −8.15473e6 | − | 2.07779e7i | −0.686346 | − | 1.74878i | ||||
\(677\) | −3.34032e6 | + | 1.46349e7i | −0.280102 | + | 1.22721i | 0.617559 | + | 0.786524i | \(0.288122\pi\) |
−0.897662 | + | 0.440685i | \(0.854736\pi\) | |||||||
\(678\) | 434125. | − | 5.79299e6i | 0.0362694 | − | 0.483982i | ||||
\(679\) | 1.42456e7 | − | 4.39417e6i | 1.18578 | − | 0.365765i | ||||
\(680\) | 9.10821e6 | + | 4.38628e6i | 0.755372 | + | 0.363768i | ||||
\(681\) | 944588. | + | 1.63607e6i | 0.0780503 | + | 0.135187i | ||||
\(682\) | −4.29112e6 | + | 7.43243e6i | −0.353272 | + | 0.611885i | ||||
\(683\) | 1.31434e7 | − | 8.96102e6i | 1.07809 | − | 0.735031i | 0.112125 | − | 0.993694i | \(-0.464234\pi\) |
0.965968 | + | 0.258663i | \(0.0832820\pi\) | |||||||
\(684\) | 6.37356e6 | + | 2.79244e7i | 0.520885 | + | 2.28215i | ||||
\(685\) | −1.22886e7 | + | 1.85220e6i | −1.00063 | + | 0.150821i | ||||
\(686\) | 1.49911e7 | − | 1.87982e7i | 1.21625 | − | 1.52513i | ||||
\(687\) | 2.66052e6 | 0.215068 | ||||||||
\(688\) | 2.00566e7 | + | 6.43259e6i | 1.61542 | + | 0.518101i | ||||
\(689\) | 2.44207e6 | 0.195979 | ||||||||
\(690\) | 2.10567e6 | − | 2.64043e6i | 0.168371 | − | 0.211131i | ||||
\(691\) | −2.23263e7 | + | 3.36515e6i | −1.77878 | + | 0.268108i | −0.954529 | − | 0.298118i | \(-0.903641\pi\) |
−0.824250 | + | 0.566226i | \(0.808403\pi\) | |||||||
\(692\) | −7.06613e6 | − | 3.09588e7i | −0.560940 | − | 2.45764i | ||||
\(693\) | −1.85809e6 | + | 1.26683e6i | −0.146972 | + | 0.100204i | ||||
\(694\) | −3.53404e6 | + | 6.12114e6i | −0.278530 | + | 0.482429i | ||||
\(695\) | −6.40427e6 | − | 1.10925e7i | −0.502930 | − | 0.871101i | ||||
\(696\) | −6.66996e6 | − | 3.21208e6i | −0.521915 | − | 0.251341i | ||||
\(697\) | 2.13508e6 | − | 658586.i | 0.166469 | − | 0.0513488i | ||||
\(698\) | 1.69137e6 | − | 2.25698e7i | 0.131402 | − | 1.75343i | ||||
\(699\) | −244840. | + | 1.07271e6i | −0.0189535 | + | 0.0830406i | ||||
\(700\) | −2.93594e6 | − | 7.48066e6i | −0.226466 | − | 0.577025i | ||||
\(701\) | −1.80965e6 | − | 2.41481e7i | −0.139091 | − | 1.85604i | −0.434500 | − | 0.900672i | \(-0.643075\pi\) |
0.295409 | − | 0.955371i | \(-0.404544\pi\) | |||||||
\(702\) | −2.57656e6 | − | 388354.i | −0.197332 | − | 0.0297430i | ||||
\(703\) | −1.91597e7 | + | 1.77776e7i | −1.46218 | + | 1.35670i | ||||
\(704\) | −412727. | + | 198759.i | −0.0313856 | + | 0.0151145i | ||||
\(705\) | 1.38626e6 | + | 945139.i | 0.105044 | + | 0.0716181i | ||||
\(706\) | −1.25737e7 | + | 3.20374e7i | −0.949408 | + | 2.41905i | ||||
\(707\) | −5.01345e6 | − | 1.54645e6i | −0.377215 | − | 0.116355i | ||||
\(708\) | 3.23415e6 | + | 3.00086e6i | 0.242481 | + | 0.224989i | ||||
\(709\) | 7.01541e6 | + | 8.79705e6i | 0.524128 | + | 0.657236i | 0.971480 | − | 0.237122i | \(-0.0762041\pi\) |
−0.447351 | + | 0.894358i | \(0.647633\pi\) | |||||||
\(710\) | 1.90265e7 | + | 2.38585e7i | 1.41649 | + | 1.77622i | ||||
\(711\) | −1.15531e7 | − | 1.07197e7i | −0.857083 | − | 0.795257i | ||||
\(712\) | 3.96126e7 | + | 1.22189e7i | 2.92842 | + | 0.903297i | ||||
\(713\) | 7.70544e6 | − | 1.96331e7i | 0.567641 | − | 1.44633i | ||||
\(714\) | −765157. | − | 521675.i | −0.0561700 | − | 0.0382961i | ||||
\(715\) | 1.27500e6 | − | 614006.i | 0.0932704 | − | 0.0449166i | ||||
\(716\) | −1.70621e7 | + | 1.58313e7i | −1.24380 | + | 1.15408i | ||||
\(717\) | −2.49222e6 | − | 375642.i | −0.181046 | − | 0.0272883i | ||||
\(718\) | −2.81511e6 | − | 3.75650e7i | −0.203791 | − | 2.71940i | ||||
\(719\) | −5.67471e6 | − | 1.44589e7i | −0.409375 | − | 1.04307i | −0.975743 | − | 0.218919i | \(-0.929747\pi\) |
0.566368 | − | 0.824153i | \(-0.308348\pi\) | |||||||
\(720\) | 5.97733e6 | − | 2.61884e7i | 0.429711 | − | 1.88269i | ||||
\(721\) | 245481. | − | 3.27572e6i | 0.0175865 | − | 0.234676i | ||||
\(722\) | 3.91364e6 | − | 1.20720e6i | 0.279407 | − | 0.0861857i | ||||
\(723\) | 3.10605e6 | + | 1.49580e6i | 0.220985 | + | 0.106421i | ||||
\(724\) | −5.86094e6 | − | 1.01515e7i | −0.415548 | − | 0.719750i | ||||
\(725\) | 4.58238e6 | − | 7.93692e6i | 0.323777 | − | 0.560799i | ||||
\(726\) | 2.87253e6 | − | 1.95846e6i | 0.202266 | − | 0.137903i | ||||
\(727\) | −750726. | − | 3.28915e6i | −0.0526800 | − | 0.230806i | 0.941734 | − | 0.336360i | \(-0.109196\pi\) |
−0.994414 | + | 0.105553i | \(0.966339\pi\) | |||||||
\(728\) | 9.59210e6 | − | 1.44578e6i | 0.670788 | − | 0.101105i | ||||
\(729\) | −7.85264e6 | + | 9.84690e6i | −0.547264 | + | 0.686247i | ||||
\(730\) | 3.86852e6 | 0.268681 | ||||||||
\(731\) | 1.01076e6 | + | 4.66790e6i | 0.0699605 | + | 0.323093i | ||||
\(732\) | 3.34680e6 | 0.230862 | ||||||||
\(733\) | −3.98214e6 | + | 4.99344e6i | −0.273751 | + | 0.343273i | −0.899635 | − | 0.436643i | \(-0.856167\pi\) |
0.625883 | + | 0.779917i | \(0.284739\pi\) | |||||||
\(734\) | −1.38389e7 | + | 2.08588e6i | −0.948118 | + | 0.142906i | ||||
\(735\) | −199558. | − | 874322.i | −0.0136255 | − | 0.0596971i | ||||
\(736\) | −9.40250e6 | + | 6.41052e6i | −0.639807 | + | 0.436213i | ||||
\(737\) | −2.40649e6 | + | 4.16817e6i | −0.163198 | + | 0.282668i | ||||
\(738\) | −6.84695e6 | − | 1.18593e7i | −0.462761 | − | 0.801525i | ||||
\(739\) | 2.47560e6 | + | 1.19218e6i | 0.166751 | + | 0.0803031i | 0.515397 | − | 0.856951i | \(-0.327644\pi\) |
−0.348646 | + | 0.937254i | \(0.613359\pi\) | |||||||
\(740\) | 6.78333e7 | − | 2.09238e7i | 4.55369 | − | 1.40463i | ||||
\(741\) | −67719.7 | + | 903656.i | −0.00453074 | + | 0.0604585i | ||||
\(742\) | 2.39240e6 | − | 1.04818e7i | 0.159523 | − | 0.698918i | ||||
\(743\) | 7.91587e6 | + | 2.01693e7i | 0.526050 | + | 1.34035i | 0.909082 | + | 0.416618i | \(0.136785\pi\) |
−0.383032 | + | 0.923735i | \(0.625120\pi\) | |||||||
\(744\) | 612196. | + | 8.16918e6i | 0.0405469 | + | 0.541061i | ||||
\(745\) | −9.21485e6 | − | 1.38891e6i | −0.608271 | − | 0.0916822i | ||||
\(746\) | −3.05029e6 | + | 2.83026e6i | −0.200675 | + | 0.186200i | ||||
\(747\) | −3.36201e6 | + | 1.61906e6i | −0.220444 | + | 0.106160i | ||||
\(748\) | 2.11319e6 | + | 1.44075e6i | 0.138097 | + | 0.0941532i | ||||
\(749\) | 1.44470e6 | − | 3.68103e6i | 0.0940962 | − | 0.239753i | ||||
\(750\) | 2.86695e6 | + | 884337.i | 0.186109 | + | 0.0574069i | ||||
\(751\) | −2.84077e6 | − | 2.63585e6i | −0.183796 | − | 0.170538i | 0.582909 | − | 0.812538i | \(-0.301914\pi\) |
−0.766705 | + | 0.642000i | \(0.778105\pi\) | |||||||
\(752\) | −1.24596e7 | − | 1.56238e7i | −0.803448 | − | 1.00749i | ||||
\(753\) | 1.95310e6 | + | 2.44911e6i | 0.125527 | + | 0.157406i | ||||
\(754\) | 1.47757e7 | + | 1.37099e7i | 0.946501 | + | 0.878224i | ||||
\(755\) | −1.21051e7 | − | 3.73394e6i | −0.772862 | − | 0.238396i | ||||
\(756\) | −2.88808e6 | + | 7.35870e6i | −0.183783 | + | 0.468270i | ||||
\(757\) | −2.01813e7 | − | 1.37594e7i | −1.28000 | − | 0.872689i | −0.283723 | − | 0.958906i | \(-0.591570\pi\) |
−0.996276 | + | 0.0862179i | \(0.972522\pi\) | |||||||
\(758\) | −2.64392e7 | + | 1.27324e7i | −1.67138 | + | 0.804893i | ||||
\(759\) | 343760. | − | 318963.i | 0.0216597 | − | 0.0200972i | ||||
\(760\) | −4.30651e7 | − | 6.49102e6i | −2.70453 | − | 0.407642i | ||||
\(761\) | 2.13865e6 | + | 2.85383e7i | 0.133868 | + | 1.78635i | 0.510390 | + | 0.859943i | \(0.329501\pi\) |
−0.376522 | + | 0.926408i | \(0.622880\pi\) | |||||||
\(762\) | −439488. | − | 1.11980e6i | −0.0274195 | − | 0.0698637i | ||||
\(763\) | −1.55296e6 | + | 6.80397e6i | −0.0965717 | + | 0.423108i | ||||
\(764\) | −1.98177e6 | + | 2.64449e7i | −0.122835 | + | 1.63911i | ||||
\(765\) | 5.82040e6 | − | 1.79536e6i | 0.359583 | − | 0.110917i | ||||
\(766\) | −1.89624e7 | − | 9.13181e6i | −1.16767 | − | 0.562322i | ||||
\(767\) | −3.29645e6 | − | 5.70962e6i | −0.202329 | − | 0.350444i | ||||
\(768\) | −2.21504e6 | + | 3.83657e6i | −0.135512 | + | 0.234714i | ||||
\(769\) | −1.60600e7 | + | 1.09495e7i | −0.979332 | + | 0.667697i | −0.943400 | − | 0.331657i | \(-0.892392\pi\) |
−0.0359316 | + | 0.999354i | \(0.511440\pi\) | |||||||
\(770\) | −1.38636e6 | − | 6.07404e6i | −0.0842653 | − | 0.369191i | ||||
\(771\) | −1.52800e6 | + | 230309.i | −0.0925737 | + | 0.0139532i | ||||
\(772\) | −6.38941e6 | + | 8.01207e6i | −0.385849 | + | 0.483840i | ||||
\(773\) | 4.10525e6 | 0.247111 | 0.123555 | − | 0.992338i | \(-0.460570\pi\) | ||||
0.123555 | + | 0.992338i | \(0.460570\pi\) | |||||||
\(774\) | 2.65129e7 | − | 1.24054e7i | 1.59076 | − | 0.744321i | ||||
\(775\) | −1.01415e7 | −0.606525 | ||||||||
\(776\) | −3.55584e7 | + | 4.45889e7i | −2.11977 | + | 2.65811i | ||||
\(777\) | −3.52916e6 | + | 531936.i | −0.209710 | + | 0.0316087i | ||||
\(778\) | −6.54681e6 | − | 2.86834e7i | −0.387776 | − | 1.69896i | ||||
\(779\) | −7.95311e6 | + | 5.42234e6i | −0.469563 | + | 0.320142i | ||||
\(780\) | 1.23059e6 | − | 2.13145e6i | 0.0724232 | − | 0.125441i | ||||
\(781\) | 2.11865e6 | + | 3.66962e6i | 0.124289 | + | 0.215275i | ||||
\(782\) | −8.21782e6 | − | 3.95749e6i | −0.480551 | − | 0.231421i | ||||
\(783\) | −8.61482e6 | + | 2.65732e6i | −0.502160 | + | 0.154896i | ||||
\(784\) | −798228. | + | 1.06516e7i | −0.0463807 | + | 0.618907i | ||||
\(785\) | −5.93098e6 | + | 2.59853e7i | −0.343520 | + | 1.50506i | ||||
\(786\) | −1.54588e6 | − | 3.93884e6i | −0.0892525 | − | 0.227412i | ||||
\(787\) | 1.65759e6 | + | 2.21190e7i | 0.0953980 | + | 1.27300i | 0.815347 | + | 0.578972i | \(0.196546\pi\) |
−0.719949 | + | 0.694027i | \(0.755835\pi\) | |||||||
\(788\) | −5.43258e6 | − | 818829.i | −0.311667 | − | 0.0469762i | ||||
\(789\) | 1.62174e6 | − | 1.50476e6i | 0.0927448 | − | 0.0860546i | ||||
\(790\) | 3.93383e7 | − | 1.89443e7i | 2.24258 | − | 1.07997i | ||||
\(791\) | 2.17604e7 | + | 1.48360e7i | 1.23659 | + | 0.843093i | ||||
\(792\) | 3.14310e6 | − | 8.00848e6i | 0.178051 | − | 0.453667i | ||||
\(793\) | −4.77907e6 | − | 1.47415e6i | −0.269874 | − | 0.0832451i | ||||
\(794\) | 2.40558e7 | + | 2.23205e7i | 1.35415 | + | 1.25647i | ||||
\(795\) | −933458. | − | 1.17052e6i | −0.0523814 | − | 0.0656842i | ||||
\(796\) | −3.10126e7 | − | 3.88886e7i | −1.73483 | − | 2.17540i | ||||
\(797\) | 3.57221e6 | + | 3.31453e6i | 0.199201 | + | 0.184832i | 0.773466 | − | 0.633838i | \(-0.218521\pi\) |
−0.574265 | + | 0.818670i | \(0.694712\pi\) | |||||||
\(798\) | 3.81232e6 | + | 1.17594e6i | 0.211925 | + | 0.0653701i | ||||
\(799\) | 1.65548e6 | − | 4.21810e6i | 0.0917397 | − | 0.233749i | ||||
\(800\) | 4.52113e6 | + | 3.08246e6i | 0.249760 | + | 0.170283i | ||||
\(801\) | 2.25032e7 | − | 1.08370e7i | 1.23926 | − | 0.596798i | ||||
\(802\) | 2.22819e7 | − | 2.06746e7i | 1.22325 | − | 1.13501i | ||||
\(803\) | 531161. | + | 80059.6i | 0.0290695 | + | 0.00438152i | ||||
\(804\) | 625540. | + | 8.34726e6i | 0.0341283 | + | 0.455411i | ||||
\(805\) | 5.59374e6 | + | 1.42526e7i | 0.304237 | + | 0.775184i | ||||
\(806\) | 4.96326e6 | − | 2.17455e7i | 0.269110 | − | 1.17905i | ||||
\(807\) | −50856.1 | + | 678628.i | −0.00274890 | + | 0.0366816i | ||||
\(808\) | 1.91794e7 | − | 5.91606e6i | 1.03349 | − | 0.318790i | ||||
\(809\) | −1.93400e7 | − | 9.31366e6i | −1.03893 | − | 0.500321i | −0.164958 | − | 0.986301i | \(-0.552749\pi\) |
−0.873970 | + | 0.485979i | \(0.838463\pi\) | |||||||
\(810\) | −1.82618e7 | − | 3.16303e7i | −0.977981 | − | 1.69391i | ||||
\(811\) | 1.43470e7 | − | 2.48497e7i | 0.765963 | − | 1.32669i | −0.173773 | − | 0.984786i | \(-0.555596\pi\) |
0.939736 | − | 0.341901i | \(-0.111071\pi\) | |||||||
\(812\) | 5.05257e7 | − | 3.44478e7i | 2.68919 | − | 1.83346i | ||||
\(813\) | −774346. | − | 3.39263e6i | −0.0410874 | − | 0.180016i | ||||
\(814\) | 1.41441e7 | − | 2.13188e6i | 0.748193 | − | 0.112772i | ||||
\(815\) | −2.30831e7 | + | 2.89453e7i | −1.21731 | + | 1.52646i | ||||
\(816\) | 1.53596e6 | 0.0807522 | ||||||||
\(817\) | −1.00883e7 | − | 1.79326e7i | −0.528766 | − | 0.939916i | ||||
\(818\) | 1.97408e7 | 1.03153 | ||||||||
\(819\) | 3.64407e6 | − | 4.56952e6i | 0.189835 | − | 0.238046i | ||||
\(820\) | 2.58511e7 | − | 3.89642e6i | 1.34259 | − | 0.202363i | ||||
\(821\) | −5.89685e6 | − | 2.58358e7i | −0.305325 | − | 1.33772i | −0.861967 | − | 0.506964i | \(-0.830768\pi\) |
0.556643 | − | 0.830752i | \(-0.312089\pi\) | |||||||
\(822\) | −3.59835e6 | + | 2.45332e6i | −0.185748 | + | 0.126641i | ||||
\(823\) | 9.41317e6 | − | 1.63041e7i | 0.484436 | − | 0.839068i | −0.515404 | − | 0.856947i | \(-0.672358\pi\) |
0.999840 | + | 0.0178796i | \(0.00569156\pi\) | |||||||
\(824\) | 6.28335e6 | + | 1.08831e7i | 0.322384 | + | 0.558385i | ||||
\(825\) | −203158. | − | 97835.9i | −0.0103920 | − | 0.00500453i | ||||
\(826\) | −2.77361e7 | + | 8.55547e6i | −1.41448 | + | 0.436308i | ||||
\(827\) | 872398. | − | 1.16413e7i | 0.0443558 | − | 0.591888i | −0.930100 | − | 0.367307i | \(-0.880280\pi\) |
0.974456 | − | 0.224580i | \(-0.0721012\pi\) | |||||||
\(828\) | −8.57196e6 | + | 3.75562e7i | −0.434514 | + | 1.90373i | ||||
\(829\) | −188674. | − | 480733.i | −0.00953510 | − | 0.0242950i | 0.926027 | − | 0.377457i | \(-0.123202\pi\) |
−0.935562 | + | 0.353162i | \(0.885106\pi\) | |||||||
\(830\) | −772553. | − | 1.03090e7i | −0.0389254 | − | 0.519423i | ||||
\(831\) | 4.30517e6 | + | 648900.i | 0.216266 | + | 0.0325968i | ||||
\(832\) | 872737. | − | 809782.i | 0.0437094 | − | 0.0405564i | ||||
\(833\) | −2.18220e6 | + | 1.05089e6i | −0.108964 | + | 0.0524741i | ||||
\(834\) | −3.70872e6 | − | 2.52857e6i | −0.184633 | − | 0.125881i | ||||
\(835\) | −6.65897e6 | + | 1.69668e7i | −0.330515 | + | 0.842137i | ||||
\(836\) | −1.05288e7 | − | 3.24770e6i | −0.521030 | − | 0.160716i | ||||
\(837\) | 7.31305e6 | + | 6.78552e6i | 0.360815 | + | 0.334788i | ||||
\(838\) | 2.42100e7 | + | 3.03584e7i | 1.19093 | + | 1.49337i | ||||
\(839\) | −1.11695e7 | − | 1.40061e7i | −0.547808 | − | 0.686929i | 0.428444 | − | 0.903568i | \(-0.359062\pi\) |
−0.976252 | + | 0.216639i | \(0.930490\pi\) | |||||||
\(840\) | −4.35947e6 | − | 4.04500e6i | −0.213175 | − | 0.197797i | ||||
\(841\) | 4.70413e7 | + | 1.45103e7i | 2.29345 | + | 0.707435i | ||||
\(842\) | 7.95574e6 | − | 2.02709e7i | 0.386723 | − | 0.985355i | ||||
\(843\) | 71717.5 | + | 48896.2i | 0.00347581 | + | 0.00236977i | ||||
\(844\) | −4.41270e7 | + | 2.12505e7i | −2.13230 | + | 1.02686i | ||||
\(845\) | 1.49901e7 | − | 1.39088e7i | 0.722208 | − | 0.670111i | ||||
\(846\) | −2.74615e7 | − | 4.13915e6i | −1.31916 | − | 0.198832i | ||||
\(847\) | 1.17787e6 | + | 1.57176e7i | 0.0564142 | + | 0.752795i | ||||
\(848\) | 6.51473e6 | + | 1.65993e7i | 0.311105 | + | 0.792683i | ||||
\(849\) | 1.29932e6 | − | 5.69268e6i | 0.0618652 | − | 0.271049i | ||||
\(850\) | −327753. | + | 4.37356e6i | −0.0155596 | + | 0.207629i | ||||
\(851\) | −3.35904e7 | + | 1.03613e7i | −1.58998 | + | 0.490444i | ||||
\(852\) | 6.63965e6 | + | 3.19749e6i | 0.313362 | + | 0.150907i | ||||
\(853\) | −1.55031e7 | − | 2.68521e7i | −0.729533 | − | 1.26359i | −0.957081 | − | 0.289821i | \(-0.906404\pi\) |
0.227548 | − | 0.973767i | \(-0.426929\pi\) | |||||||
\(854\) | −1.10092e7 | + | 1.90685e7i | −0.516549 | + | 0.894688i | ||||
\(855\) | −2.16808e7 | + | 1.47817e7i | −1.01429 | + | 0.691528i | ||||
\(856\) | 3.36626e6 | + | 1.47485e7i | 0.157023 | + | 0.687962i | ||||
\(857\) | −6.70495e6 | + | 1.01061e6i | −0.311848 | + | 0.0470036i | −0.303102 | − | 0.952958i | \(-0.598022\pi\) |
−0.00874645 | + | 0.999962i | \(0.502784\pi\) | |||||||
\(858\) | 309206. | − | 387732.i | 0.0143393 | − | 0.0179810i | ||||
\(859\) | 2.71278e7 | 1.25439 | 0.627193 | − | 0.778864i | \(-0.284204\pi\) | ||||
0.627193 | + | 0.778864i | \(0.284204\pi\) | |||||||
\(860\) | 3.55407e6 | + | 5.57695e7i | 0.163863 | + | 2.57129i | ||||
\(861\) | −1.31440e6 | −0.0604254 | ||||||||
\(862\) | 2.01800e7 | − | 2.53049e7i | 0.925022 | − | 1.15994i | ||||
\(863\) | 2.66645e7 | − | 4.01903e6i | 1.21873 | − | 0.183694i | 0.491985 | − | 0.870604i | \(-0.336271\pi\) |
0.726742 | + | 0.686910i | \(0.241033\pi\) | |||||||
\(864\) | −1.19777e6 | − | 5.24778e6i | −0.0545870 | − | 0.239161i | ||||
\(865\) | 2.40367e7 | − | 1.63879e7i | 1.09228 | − | 0.744705i | ||||
\(866\) | −1.34103e7 | + | 2.32273e7i | −0.607637 | + | 1.05246i | ||||
\(867\) | −1.41934e6 | − | 2.45837e6i | −0.0641267 | − | 0.111071i | ||||
\(868\) | −6.09674e7 | − | 2.93604e7i | −2.74662 | − | 1.32270i | ||||
\(869\) | 5.79334e6 | − | 1.78701e6i | 0.260243 | − | 0.0802745i | ||||
\(870\) | 923460. | − | 1.23227e7i | 0.0413638 | − | 0.551961i | ||||
\(871\) | 2.78344e6 | − | 1.21950e7i | 0.124319 | − | 0.544675i | ||||
\(872\) | −9.75408e6 | − | 2.48530e7i | −0.434405 | − | 1.10685i | ||||
\(873\) | 2.56788e6 | + | 3.42660e7i | 0.114035 | + | 1.52170i | ||||
\(874\) | 3.88552e7 | + | 5.85648e6i | 1.72056 | + | 0.259333i | ||||
\(875\) | −9.97087e6 | + | 9.25162e6i | −0.440264 | + | 0.408505i | ||||
\(876\) | 841704. | − | 405343.i | 0.0370595 | − | 0.0178469i | ||||
\(877\) | 1.33101e7 | + | 9.07467e6i | 0.584362 | + | 0.398412i | 0.819103 | − | 0.573647i | \(-0.194472\pi\) |
−0.234741 | + | 0.972058i | \(0.575424\pi\) | |||||||
\(878\) | −4.35554e6 | + | 1.10977e7i | −0.190680 | + | 0.485845i | ||||
\(879\) | −589412. | − | 181810.i | −0.0257304 | − | 0.00793678i | ||||
\(880\) | 7.57486e6 | + | 7.02844e6i | 0.329737 | + | 0.305951i | ||||
\(881\) | 2.75075e7 | + | 3.44933e7i | 1.19402 | + | 1.49725i | 0.822440 | + | 0.568852i | \(0.192612\pi\) |
0.371579 | + | 0.928401i | \(0.378816\pi\) | |||||||
\(882\) | 9.25529e6 | + | 1.16058e7i | 0.400607 | + | 0.502345i | ||||
\(883\) | 1.52283e7 | + | 1.41298e7i | 0.657280 | + | 0.609867i | 0.936629 | − | 0.350323i | \(-0.113928\pi\) |
−0.279349 | + | 0.960190i | \(0.590119\pi\) | |||||||
\(884\) | −6.35175e6 | − | 1.95926e6i | −0.273378 | − | 0.0843258i | ||||
\(885\) | −1.47667e6 | + | 3.76249e6i | −0.0633760 | + | 0.161479i | ||||
\(886\) | 769512. | + | 524644.i | 0.0329330 | + | 0.0224533i | ||||
\(887\) | −2.43185e7 | + | 1.17112e7i | −1.03783 | + | 0.499794i | −0.873609 | − | 0.486629i | \(-0.838227\pi\) |
−0.164225 | + | 0.986423i | \(0.552512\pi\) | |||||||
\(888\) | 1.00088e7 | − | 9.28681e6i | 0.425941 | − | 0.395216i | ||||
\(889\) | 5.39278e6 | + | 812831.i | 0.228854 | + | 0.0344942i | ||||
\(890\) | 5.17099e6 | + | 6.90021e7i | 0.218826 | + | 2.92003i | ||||
\(891\) | −1.85281e6 | − | 4.72089e6i | −0.0781875 | − | 0.199218i | ||||
\(892\) | −4.60050e6 | + | 2.01561e7i | −0.193594 | + | 0.848193i | ||||
\(893\) | −1.45882e6 | + | 1.94666e7i | −0.0612172 | + | 0.816886i | ||||
\(894\) | −3.12068e6 | + | 962602.i | −0.130589 | + | 0.0402813i | ||||
\(895\) | −1.92117e7 | − | 9.25188e6i | −0.801694 | − | 0.386076i | ||||
\(896\) | −1.08569e7 | − | 1.88047e7i | −0.451788 | − | 0.782520i | ||||
\(897\) | −609379. | + | 1.05547e6i | −0.0252875 | + | 0.0437993i | ||||
\(898\) | 8.11119e6 | − | 5.53012e6i | 0.335656 | − | 0.228846i | ||||
\(899\) | −1.71724e7 | − | 7.52372e7i | −0.708650 | − | 3.10480i | ||||
\(900\) | 1.83162e7 | − | 2.76072e6i | 0.753753 | − | 0.113610i | ||||
\(901\) | −2.52104e6 | + | 3.16129e6i | −0.103459 | + | 0.129733i | ||||
\(902\) | 5.26781e6 | 0.215583 | ||||||||
\(903\) | 241211. | − | 2.79924e6i | 0.00984415 | − | 0.114241i | ||||
\(904\) | −1.00753e8 | −4.10051 | ||||||||
\(905\) | 6.69554e6 | − | 8.39594e6i | 0.271746 | − | 0.340759i | ||||
\(906\) | −4.38982e6 | + | 661659.i | −0.177675 | + | 0.0267802i | ||||
\(907\) | 4.07831e6 | + | 1.78682e7i | 0.164612 | + | 0.721212i | 0.988092 | + | 0.153866i | \(0.0491726\pi\) |
−0.823480 | + | 0.567346i | \(0.807970\pi\) | |||||||
\(908\) | 4.93252e7 | − | 3.36294e7i | 1.98543 | − | 1.35364i | ||||
\(909\) | 6.04654e6 | − | 1.04729e7i | 0.242715 | − | 0.420396i | ||||
\(910\) | 8.09601e6 | + | 1.40227e7i | 0.324091 | + | 0.561343i | ||||
\(911\) | 1.12956e6 | + | 543967.i | 0.0450934 | + | 0.0217158i | 0.456295 | − | 0.889829i | \(-0.349176\pi\) |
−0.411201 | + | 0.911545i | \(0.634891\pi\) | |||||||
\(912\) | −6.32301e6 | + | 1.95039e6i | −0.251731 | + | 0.0776487i | ||||
\(913\) | 107272. | − | 1.43145e6i | 0.00425903 | − | 0.0568328i | ||||
\(914\) | −9.91221e6 | + | 4.34282e7i | −0.392469 | + | 1.71952i | ||||
\(915\) | 1.12018e6 | + | 2.85416e6i | 0.0442317 | + | 0.112701i | ||||
\(916\) | −6.28280e6 | − | 8.38381e7i | −0.247408 | − | 3.30144i | ||||
\(917\) | 1.89689e7 | + | 2.85910e6i | 0.744936 | + | 0.112281i | ||||
\(918\) | 3.16262e6 | − | 2.93448e6i | 0.123862 | − | 0.114928i | ||||
\(919\) | −3.95382e6 | + | 1.90406e6i | −0.154429 | + | 0.0743689i | −0.509502 | − | 0.860470i | \(-0.670170\pi\) |
0.355073 | + | 0.934839i | \(0.384456\pi\) | |||||||
\(920\) | −4.83957e7 | − | 3.29957e7i | −1.88511 | − | 1.28525i | ||||
\(921\) | 331131. | − | 843708.i | 0.0128632 | − | 0.0327750i | ||||
\(922\) | 2.90979e7 | + | 8.97550e6i | 1.12729 | + | 0.347721i | ||||
\(923\) | −8.07273e6 | − | 7.49040e6i | −0.311901 | − | 0.289402i | ||||
\(924\) | −938079. | − | 1.17631e6i | −0.0361459 | − | 0.0453256i | ||||
\(925\) | 1.05387e7 | + | 1.32151e7i | 0.404977 | + | 0.507826i | ||||
\(926\) | 3.17880e7 | + | 2.94950e7i | 1.21825 | + | 1.13037i | ||||
\(927\) | 7.23520e6 | + | 2.23177e6i | 0.276536 | + | 0.0853000i | ||||
\(928\) | −1.52124e7 | + | 3.87605e7i | −0.579866 | + | 1.47747i | ||||
\(929\) | 3.59865e7 | + | 2.45352e7i | 1.36805 | + | 0.932717i | 0.999996 | + | 0.00291101i | \(0.000926605\pi\) |
0.368049 | + | 0.929806i | \(0.380026\pi\) | |||||||
\(930\) | −1.23201e7 | + | 5.93304e6i | −0.467096 | + | 0.224942i | ||||
\(931\) | 7.64891e6 | − | 7.09715e6i | 0.289218 | − | 0.268355i | ||||
\(932\) | 3.43814e7 | + | 5.18217e6i | 1.29654 | + | 0.195421i | ||||
\(933\) | −76071.4 | − | 1.01510e6i | −0.00286100 | − | 0.0381774i | ||||
\(934\) | −2.05350e7 | − | 5.23222e7i | −0.770241 | − | 1.96254i | ||||
\(935\) | −521391. | + | 2.28436e6i | −0.0195045 | + | 0.0854547i | ||||
\(936\) | −1.67090e6 | + | 2.22966e7i | −0.0623392 | + | 0.831859i | ||||
\(937\) | −1.24430e6 | + | 383814.i | −0.0462993 | + | 0.0142814i | −0.317818 | − | 0.948152i | \(-0.602950\pi\) |
0.271519 | + | 0.962433i | \(0.412474\pi\) | |||||||
\(938\) | −4.96165e7 | − | 2.38940e7i | −1.84128 | − | 0.886712i | ||||
\(939\) | 989608. | + | 1.71405e6i | 0.0366268 | + | 0.0634395i | ||||
\(940\) | 2.65095e7 | − | 4.59158e7i | 0.978547 | − | 1.69489i | ||||
\(941\) | 1.03293e7 | − | 7.04239e6i | 0.380274 | − | 0.259266i | −0.358064 | − | 0.933697i | \(-0.616563\pi\) |
0.738338 | + | 0.674431i | \(0.235611\pi\) | |||||||
\(942\) | 2.07848e6 | + | 9.10642e6i | 0.0763165 | + | 0.334365i | ||||
\(943\) | −1.28012e7 | + | 1.92947e6i | −0.468783 | + | 0.0706577i | ||||
\(944\) | 3.00156e7 | − | 3.76383e7i | 1.09627 | − | 1.37468i | ||||
\(945\) | −7.24217e6 | −0.263809 | ||||||||
\(946\) | −966720. | + | 1.12187e7i | −0.0351215 | + | 0.407583i | ||||
\(947\) | −1.49230e7 | −0.540732 | −0.270366 | − | 0.962758i | \(-0.587145\pi\) | ||||
−0.270366 | + | 0.962758i | \(0.587145\pi\) | |||||||
\(948\) | 6.57416e6 | − | 8.24373e6i | 0.237585 | − | 0.297922i | ||||
\(949\) | −1.38045e6 | + | 208070.i | −0.0497573 | + | 0.00749970i | ||||
\(950\) | −4.20438e6 | − | 1.84206e7i | −0.151145 | − | 0.662208i | ||||
\(951\) | −313201. | + | 213537.i | −0.0112298 | + | 0.00765634i | ||||
\(952\) | −8.03073e6 | + | 1.39096e7i | −0.287186 | + | 0.497420i | ||||
\(953\) | −9.94119e6 | − | 1.72186e7i | −0.354573 | − | 0.614139i | 0.632472 | − | 0.774584i | \(-0.282041\pi\) |
−0.987045 | + | 0.160445i | \(0.948707\pi\) | |||||||
\(954\) | 2.23273e7 | + | 1.07523e7i | 0.794266 | + | 0.382498i | ||||
\(955\) | −2.32157e7 | + | 7.16108e6i | −0.823707 | + | 0.254080i | ||||
\(956\) | −5.95183e6 | + | 7.94217e7i | −0.210623 | + | 2.81057i | ||||
\(957\) | 381815. | − | 1.67284e6i | 0.0134764 | − | 0.0590439i | ||||
\(958\) | 3.98517e6 | + | 1.01541e7i | 0.140292 | + | 0.357459i | ||||
\(959\) | −1.47549e6 | − | 1.96890e7i | −0.0518072 | − | 0.691318i | ||||
\(960\) | −721736. | − | 108784.i | −0.0252755 | − | 0.00380968i | ||||
\(961\) | −4.16137e7 | + | 3.86118e7i | −1.45354 | + | 1.34869i | ||||
\(962\) | −3.34934e7 | + | 1.61296e7i | −1.16687 | + | 0.561933i | ||||
\(963\) | 7.53092e6 | + | 5.13449e6i | 0.261687 | + | 0.178415i | ||||
\(964\) | 3.98005e7 | − | 1.01410e8i | 1.37942 | − | 3.51470i | ||||
\(965\) | −8.97127e6 | − | 2.76727e6i | −0.310124 | − | 0.0956606i | ||||
\(966\) | 3.93331e6 | + | 3.64958e6i | 0.135617 | + | 0.125834i | ||||
\(967\) | −2.85606e7 | − | 3.58139e7i | −0.982203 | − | 1.23164i | −0.972790 | − | 0.231688i | \(-0.925575\pi\) |
−0.00941244 | − | 0.999956i | \(-0.502996\pi\) | |||||||
\(968\) | −3.75949e7 | − | 4.71425e7i | −1.28956 | − | 1.61705i | ||||
\(969\) | −1.09989e6 | − | 1.02054e6i | −0.0376303 | − | 0.0349158i | ||||
\(970\) | −9.09675e7 | − | 2.80598e7i | −3.10425 | − | 0.957535i | ||||
\(971\) | 6.20520e6 | − | 1.58106e7i | 0.211207 | − | 0.538146i | −0.785534 | − | 0.618819i | \(-0.787612\pi\) |
0.996741 | + | 0.0806726i | \(0.0257068\pi\) | |||||||
\(972\) | −2.26613e7 | − | 1.54502e7i | −0.769341 | − | 0.524528i | ||||
\(973\) | 1.83346e7 | − | 8.82947e6i | 0.620854 | − | 0.298987i | ||||
\(974\) | 3.14865e7 | − | 2.92152e7i | 1.06347 | − | 0.986759i | ||||
\(975\) | 579486. | + | 87343.5i | 0.0195223 | + | 0.00294252i | ||||
\(976\) | −2.72908e6 | − | 3.64170e7i | −0.0917047 | − | 1.22371i | ||||
\(977\) | 542960. | + | 1.38344e6i | 0.0181983 | + | 0.0463685i | 0.939684 | − | 0.342043i | \(-0.111119\pi\) |
−0.921486 | + | 0.388412i | \(0.873024\pi\) | |||||||
\(978\) | −2.88706e6 | + | 1.26490e7i | −0.0965181 | + | 0.422873i | ||||
\(979\) | −718016. | + | 9.58125e6i | −0.0239429 | + | 0.319496i | ||||
\(980\) | −2.70803e7 | + | 8.35317e6i | −0.900717 | + | 0.277835i | ||||
\(981\) | −1.44932e7 | − | 6.97955e6i | −0.480830 | − | 0.231555i | ||||
\(982\) | 3.01234e7 | + | 5.21753e7i | 0.996840 | + | 1.72658i | ||||
\(983\) | −1.80440e7 | + | 3.12531e7i | −0.595592 | + | 1.03160i | 0.397871 | + | 0.917441i | \(0.369749\pi\) |
−0.993463 | + | 0.114154i | \(0.963584\pi\) | |||||||
\(984\) | 4.15461e6 | − | 2.83257e6i | 0.136786 | − | 0.0932594i | ||||
\(985\) | −1.11999e6 | − | 4.90698e6i | −0.0367809 | − | 0.161148i | ||||
\(986\) | −3.30012e7 | + | 4.97413e6i | −1.08103 | + | 0.162939i | ||||
\(987\) | −1.66200e6 | + | 2.08408e6i | −0.0543048 | + | 0.0680961i | ||||
\(988\) | 2.86359e7 | 0.933293 | ||||||||
\(989\) | −1.75995e6 | − | 2.76165e7i | −0.0572148 | − | 0.897798i | ||||
\(990\) | 1.43605e7 | 0.465673 | ||||||||
\(991\) | 2.77059e7 | − | 3.47422e7i | 0.896167 | − | 1.12376i | −0.0955643 | − | 0.995423i | \(-0.530466\pi\) |
0.991731 | − | 0.128334i | \(-0.0409630\pi\) | |||||||
\(992\) | 4.55620e7 | − | 6.86736e6i | 1.47002 | − | 0.221570i | ||||
\(993\) | −126333. | − | 553501.i | −0.00406578 | − | 0.0178133i | ||||
\(994\) | −4.00588e7 | + | 2.73116e7i | −1.28597 | + | 0.876761i | ||||
\(995\) | 2.27844e7 | − | 3.94637e7i | 0.729591 | − | 1.26369i | ||||
\(996\) | −1.24827e6 | − | 2.16206e6i | −0.0398712 | − | 0.0690590i | ||||
\(997\) | 2.45273e7 | + | 1.18117e7i | 0.781470 | + | 0.376336i | 0.781693 | − | 0.623664i | \(-0.214357\pi\) |
−0.000222389 | 1.00000i | \(0.500071\pi\) | ||||||||
\(998\) | −4.92514e7 | + | 1.51920e7i | −1.56528 | + | 0.482825i | ||||
\(999\) | 1.24255e6 | − | 1.65806e7i | 0.0393911 | − | 0.525638i |
(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 | 43.6.g.a.24.17 | yes | 204 | |
43.9 | even | 21 | inner | 43.6.g.a.9.17 | ✓ | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.g.a.9.17 | ✓ | 204 | 43.9 | even | 21 | inner | |
43.6.g.a.24.17 | yes | 204 | 1.1 | even | 1 | trivial |