Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,6,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.1891703058\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Character | \(\chi\) | \(=\) | 76.31 |
Dual form | 76.6.f.a.27.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.64509 | − | 0.364630i | −0.997920 | − | 0.0644580i | ||||
\(3\) | 2.01363 | + | 3.48771i | 0.129174 | + | 0.223737i | 0.923357 | − | 0.383943i | \(-0.125434\pi\) |
−0.794183 | + | 0.607679i | \(0.792101\pi\) | |||||||
\(4\) | 31.7341 | + | 4.11673i | 0.991690 | + | 0.128648i | ||||
\(5\) | 54.6845 | + | 94.7163i | 0.978225 | + | 1.69434i | 0.668852 | + | 0.743395i | \(0.266786\pi\) |
0.309373 | + | 0.950941i | \(0.399881\pi\) | |||||||
\(6\) | −10.0954 | − | 20.4227i | −0.114484 | − | 0.231598i | ||||
\(7\) | 177.092i | 1.36601i | 0.730413 | + | 0.683006i | \(0.239328\pi\) | ||||
−0.730413 | + | 0.683006i | \(0.760672\pi\) | |||||||
\(8\) | −177.641 | − | 34.8105i | −0.981336 | − | 0.192303i | ||||
\(9\) | 113.391 | − | 196.398i | 0.466628 | − | 0.808223i | ||||
\(10\) | −274.162 | − | 554.621i | −0.866978 | − | 1.75387i | ||||
\(11\) | − | 61.3620i | − | 0.152904i | −0.997073 | − | 0.0764518i | \(-0.975641\pi\) | ||
0.997073 | − | 0.0764518i | \(-0.0243591\pi\) | |||||||
\(12\) | 49.5428 | + | 118.969i | 0.0993178 | + | 0.238496i | ||||
\(13\) | 252.490 | + | 145.775i | 0.414368 | + | 0.239235i | 0.692665 | − | 0.721260i | \(-0.256437\pi\) |
−0.278297 | + | 0.960495i | \(0.589770\pi\) | |||||||
\(14\) | 64.5731 | − | 999.702i | 0.0880505 | − | 1.36317i | ||||
\(15\) | −220.229 | + | 381.447i | −0.252723 | + | 0.437730i | ||||
\(16\) | 990.105 | + | 261.282i | 0.966899 | + | 0.255158i | ||||
\(17\) | 269.971 | + | 467.603i | 0.226566 | + | 0.392424i | 0.956788 | − | 0.290786i | \(-0.0939168\pi\) |
−0.730222 | + | 0.683210i | \(0.760583\pi\) | |||||||
\(18\) | −711.713 | + | 1067.34i | −0.517754 | + | 0.776465i | ||||
\(19\) | −1472.04 | − | 556.059i | −0.935481 | − | 0.353376i | ||||
\(20\) | 1345.44 | + | 3230.86i | 0.752124 | + | 1.80610i | ||||
\(21\) | −617.647 | + | 356.598i | −0.305627 | + | 0.176454i | ||||
\(22\) | −22.3744 | + | 346.394i | −0.00985587 | + | 0.152586i | ||||
\(23\) | −2540.20 | − | 1466.59i | −1.00126 | − | 0.578080i | −0.0926422 | − | 0.995699i | \(-0.529531\pi\) |
−0.908622 | + | 0.417619i | \(0.862865\pi\) | |||||||
\(24\) | −236.294 | − | 689.655i | −0.0837383 | − | 0.244401i | ||||
\(25\) | −4418.28 | + | 7652.69i | −1.41385 | + | 2.44886i | ||||
\(26\) | −1372.18 | − | 914.980i | −0.398085 | − | 0.265447i | ||||
\(27\) | 1891.93 | 0.499455 | ||||||||
\(28\) | −729.042 | + | 5619.86i | −0.175735 | + | 1.35466i | ||||
\(29\) | 3743.38 | + | 2161.24i | 0.826549 | + | 0.477208i | 0.852670 | − | 0.522451i | \(-0.174982\pi\) |
−0.0261207 | + | 0.999659i | \(0.508315\pi\) | |||||||
\(30\) | 1382.30 | − | 2073.00i | 0.280413 | − | 0.420530i | ||||
\(31\) | 5976.45 | 1.11696 | 0.558482 | − | 0.829516i | \(-0.311384\pi\) | ||||
0.558482 | + | 0.829516i | \(0.311384\pi\) | |||||||
\(32\) | −5493.96 | − | 1835.98i | −0.948442 | − | 0.316952i | ||||
\(33\) | 214.013 | − | 123.560i | 0.0342102 | − | 0.0197513i | ||||
\(34\) | −1353.51 | − | 2738.10i | −0.200800 | − | 0.406212i | ||||
\(35\) | −16773.5 | + | 9684.20i | −2.31448 | + | 1.33627i | ||||
\(36\) | 4406.87 | − | 5765.72i | 0.566727 | − | 0.741476i | ||||
\(37\) | 2104.57i | 0.252732i | 0.991984 | + | 0.126366i | \(0.0403313\pi\) | ||||
−0.991984 | + | 0.126366i | \(0.959669\pi\) | |||||||
\(38\) | 8107.03 | + | 3675.75i | 0.910758 | + | 0.412940i | ||||
\(39\) | 1174.15i | 0.123612i | ||||||||
\(40\) | −6417.06 | − | 18729.1i | −0.634142 | − | 1.85083i | ||||
\(41\) | 8334.82 | − | 4812.11i | 0.774349 | − | 0.447071i | −0.0600749 | − | 0.998194i | \(-0.519134\pi\) |
0.834424 | + | 0.551123i | \(0.185801\pi\) | |||||||
\(42\) | 3616.70 | − | 1787.82i | 0.316365 | − | 0.156387i | ||||
\(43\) | −16202.5 | + | 9354.53i | −1.33632 | + | 0.771526i | −0.986260 | − | 0.165200i | \(-0.947173\pi\) |
−0.350063 | + | 0.936726i | \(0.613840\pi\) | |||||||
\(44\) | 252.611 | − | 1947.27i | 0.0196707 | − | 0.151633i | ||||
\(45\) | 24802.8 | 1.82587 | ||||||||
\(46\) | 13804.9 | + | 9205.25i | 0.961920 | + | 0.641418i | ||||
\(47\) | 1389.93 | + | 802.479i | 0.0917804 | + | 0.0529894i | 0.545188 | − | 0.838314i | \(-0.316458\pi\) |
−0.453407 | + | 0.891303i | \(0.649792\pi\) | |||||||
\(48\) | 1082.43 | + | 3979.32i | 0.0678105 | + | 0.249291i | ||||
\(49\) | −14554.7 | −0.865989 | ||||||||
\(50\) | 27732.0 | − | 41589.1i | 1.56876 | − | 2.35263i | ||||
\(51\) | −1087.24 | + | 1883.16i | −0.0585331 | + | 0.101382i | ||||
\(52\) | 7412.42 | + | 5665.48i | 0.380147 | + | 0.290555i | ||||
\(53\) | −17327.4 | − | 10004.0i | −0.847312 | − | 0.489196i | 0.0124308 | − | 0.999923i | \(-0.496043\pi\) |
−0.859743 | + | 0.510727i | \(0.829376\pi\) | |||||||
\(54\) | −10680.1 | − | 689.854i | −0.498416 | − | 0.0321939i | ||||
\(55\) | 5811.98 | − | 3355.55i | 0.259070 | − | 0.149574i | ||||
\(56\) | 6164.68 | − | 31458.8i | 0.262688 | − | 1.34052i | ||||
\(57\) | −1024.77 | − | 6253.74i | −0.0417771 | − | 0.254949i | ||||
\(58\) | −20343.6 | − | 13565.3i | −0.794070 | − | 0.529494i | ||||
\(59\) | −17573.1 | − | 30437.5i | −0.657230 | − | 1.13836i | −0.981330 | − | 0.192333i | \(-0.938395\pi\) |
0.324099 | − | 0.946023i | \(-0.394939\pi\) | |||||||
\(60\) | −8559.07 | + | 11198.3i | −0.306937 | + | 0.401580i | ||||
\(61\) | 6467.16 | − | 11201.4i | 0.222530 | − | 0.385433i | −0.733045 | − | 0.680180i | \(-0.761902\pi\) |
0.955576 | + | 0.294746i | \(0.0952351\pi\) | |||||||
\(62\) | −33737.6 | − | 2179.19i | −1.11464 | − | 0.0719973i | ||||
\(63\) | 34780.6 | + | 20080.6i | 1.10404 | + | 0.637419i | ||||
\(64\) | 30344.5 | + | 12367.5i | 0.926039 | + | 0.377427i | ||||
\(65\) | 31886.6i | 0.936104i | ||||||||
\(66\) | −1253.18 | + | 619.474i | −0.0354122 | + | 0.0175051i | ||||
\(67\) | −2566.32 | + | 4445.01i | −0.0698433 | + | 0.120972i | −0.898832 | − | 0.438293i | \(-0.855583\pi\) |
0.828989 | + | 0.559265i | \(0.188917\pi\) | |||||||
\(68\) | 6642.28 | + | 15950.4i | 0.174199 | + | 0.418310i | ||||
\(69\) | − | 11812.7i | − | 0.298693i | ||||||
\(70\) | 98219.2 | − | 48552.0i | 2.39580 | − | 1.18430i | ||||
\(71\) | −19654.5 | − | 34042.5i | −0.462717 | − | 0.801449i | 0.536378 | − | 0.843978i | \(-0.319792\pi\) |
−0.999095 | + | 0.0425285i | \(0.986459\pi\) | |||||||
\(72\) | −26979.5 | + | 30941.1i | −0.613342 | + | 0.703404i | ||||
\(73\) | 25575.8 | + | 44298.5i | 0.561722 | + | 0.972931i | 0.997346 | + | 0.0728028i | \(0.0231944\pi\) |
−0.435624 | + | 0.900129i | \(0.643472\pi\) | |||||||
\(74\) | 767.390 | − | 11880.5i | 0.0162906 | − | 0.252206i | ||||
\(75\) | −35587.1 | −0.730533 | ||||||||
\(76\) | −44424.7 | − | 23706.0i | −0.882247 | − | 0.470787i | ||||
\(77\) | 10866.7 | 0.208868 | ||||||||
\(78\) | 428.130 | − | 6628.18i | 0.00796781 | − | 0.123355i | ||||
\(79\) | 43513.7 | + | 75368.0i | 0.784438 | + | 1.35869i | 0.929334 | + | 0.369240i | \(0.120382\pi\) |
−0.144896 | + | 0.989447i | \(0.546285\pi\) | |||||||
\(80\) | 29395.7 | + | 108067.i | 0.513522 | + | 1.88785i | ||||
\(81\) | −23744.3 | − | 41126.3i | −0.402111 | − | 0.696477i | ||||
\(82\) | −48805.5 | + | 24125.7i | −0.801556 | + | 0.396228i | ||||
\(83\) | 32951.6i | 0.525026i | 0.964928 | + | 0.262513i | \(0.0845513\pi\) | ||||
−0.964928 | + | 0.262513i | \(0.915449\pi\) | |||||||
\(84\) | −21068.5 | + | 8773.64i | −0.325788 | + | 0.135669i | ||||
\(85\) | −29526.4 | + | 51141.3i | −0.443265 | + | 0.767758i | ||||
\(86\) | 94875.6 | − | 46899.2i | 1.38327 | − | 0.683785i | ||||
\(87\) | 17407.8i | 0.246572i | ||||||||
\(88\) | −2136.04 | + | 10900.4i | −0.0294038 | + | 0.150050i | ||||
\(89\) | −41492.7 | − | 23955.8i | −0.555261 | − | 0.320580i | 0.195980 | − | 0.980608i | \(-0.437211\pi\) |
−0.751241 | + | 0.660028i | \(0.770544\pi\) | |||||||
\(90\) | −140014. | − | 9043.84i | −1.82207 | − | 0.117692i | ||||
\(91\) | −25815.7 | + | 44714.0i | −0.326798 | + | 0.566031i | ||||
\(92\) | −74573.5 | − | 56998.1i | −0.918575 | − | 0.702087i | ||||
\(93\) | 12034.4 | + | 20844.1i | 0.144283 | + | 0.249906i | ||||
\(94\) | −7553.70 | − | 5036.88i | −0.0881739 | − | 0.0587952i | ||||
\(95\) | −27829.8 | − | 169834.i | −0.316374 | − | 1.93070i | ||||
\(96\) | −4659.44 | − | 22858.3i | −0.0516007 | − | 0.253143i | ||||
\(97\) | 77714.5 | − | 44868.5i | 0.838635 | − | 0.484186i | −0.0181653 | − | 0.999835i | \(-0.505783\pi\) |
0.856800 | + | 0.515649i | \(0.172449\pi\) | |||||||
\(98\) | 82162.5 | + | 5307.07i | 0.864188 | + | 0.0558200i | ||||
\(99\) | −12051.4 | − | 6957.88i | −0.123580 | − | 0.0713491i | ||||
\(100\) | −171714. | + | 224662.i | −1.71714 | + | 2.24662i | ||||
\(101\) | −16924.1 | + | 29313.3i | −0.165083 | + | 0.285931i | −0.936685 | − | 0.350174i | \(-0.886122\pi\) |
0.771602 | + | 0.636106i | \(0.219456\pi\) | |||||||
\(102\) | 6824.24 | − | 10234.2i | 0.0649462 | − | 0.0973985i | ||||
\(103\) | 207497. | 1.92716 | 0.963581 | − | 0.267417i | \(-0.0861700\pi\) | ||||
0.963581 | + | 0.267417i | \(0.0861700\pi\) | |||||||
\(104\) | −39778.0 | − | 34684.9i | −0.360628 | − | 0.314454i | ||||
\(105\) | −67551.4 | − | 39000.8i | −0.597944 | − | 0.345223i | ||||
\(106\) | 94166.9 | + | 62791.4i | 0.814018 | + | 0.542795i | ||||
\(107\) | 23059.0 | 0.194706 | 0.0973532 | − | 0.995250i | \(-0.468962\pi\) | ||||
0.0973532 | + | 0.995250i | \(0.468962\pi\) | |||||||
\(108\) | 60038.7 | + | 7788.58i | 0.495304 | + | 0.0642538i | ||||
\(109\) | 70405.5 | − | 40648.6i | 0.567597 | − | 0.327702i | −0.188592 | − | 0.982056i | \(-0.560392\pi\) |
0.756189 | + | 0.654353i | \(0.227059\pi\) | |||||||
\(110\) | −34032.7 | + | 16823.2i | −0.268173 | + | 0.132564i | ||||
\(111\) | −7340.15 | + | 4237.84i | −0.0565454 | + | 0.0326465i | ||||
\(112\) | −46271.0 | + | 175340.i | −0.348549 | + | 1.32080i | ||||
\(113\) | 64217.9i | 0.473107i | 0.971618 | + | 0.236554i | \(0.0760179\pi\) | ||||
−0.971618 | + | 0.236554i | \(0.923982\pi\) | |||||||
\(114\) | 3504.61 | + | 35676.6i | 0.0252568 | + | 0.257111i | ||||
\(115\) | − | 320798.i | − | 2.26197i | ||||||
\(116\) | 109895. | + | 83995.5i | 0.758289 | + | 0.579577i | ||||
\(117\) | 57260.0 | − | 33059.1i | 0.386711 | − | 0.223268i | ||||
\(118\) | 88103.2 | + | 178230.i | 0.582487 | + | 1.17835i | ||||
\(119\) | −82808.9 | + | 47809.8i | −0.536056 | + | 0.309492i | ||||
\(120\) | 52400.0 | − | 60094.3i | 0.332183 | − | 0.380961i | ||||
\(121\) | 157286. | 0.976620 | ||||||||
\(122\) | −40592.1 | + | 60875.0i | −0.246912 | + | 0.370288i | ||||
\(123\) | 33566.5 | + | 19379.6i | 0.200052 | + | 0.115500i | ||||
\(124\) | 189657. | + | 24603.5i | 1.10768 | + | 0.143695i | ||||
\(125\) | −624667. | −3.57580 | ||||||||
\(126\) | −189018. | − | 126039.i | −1.06066 | − | 0.707258i | ||||
\(127\) | 10299.4 | − | 17839.1i | 0.0566636 | − | 0.0981442i | −0.836302 | − | 0.548269i | \(-0.815287\pi\) |
0.892966 | + | 0.450125i | \(0.148620\pi\) | |||||||
\(128\) | −166788. | − | 80880.3i | −0.899785 | − | 0.436333i | ||||
\(129\) | −65251.8 | − | 37673.1i | −0.345238 | − | 0.199323i | ||||
\(130\) | 11626.8 | − | 180002.i | 0.0603394 | − | 0.934158i | ||||
\(131\) | 62079.5 | − | 35841.6i | 0.316060 | − | 0.182477i | −0.333575 | − | 0.942724i | \(-0.608255\pi\) |
0.649635 | + | 0.760246i | \(0.274922\pi\) | |||||||
\(132\) | 7300.17 | − | 3040.04i | 0.0364669 | − | 0.0151861i | ||||
\(133\) | 98473.8 | − | 260687.i | 0.482716 | − | 1.27788i | ||||
\(134\) | 16107.9 | − | 24156.7i | 0.0774957 | − | 0.116219i | ||||
\(135\) | 103459. | + | 179197.i | 0.488579 | + | 0.846244i | ||||
\(136\) | −31680.3 | − | 92463.2i | −0.146873 | − | 0.428669i | ||||
\(137\) | 164184. | − | 284376.i | 0.747361 | − | 1.29447i | −0.201722 | − | 0.979443i | \(-0.564654\pi\) |
0.949083 | − | 0.315025i | \(-0.102013\pi\) | |||||||
\(138\) | −4307.24 | + | 66683.5i | −0.0192532 | + | 0.298072i | ||||
\(139\) | 288464. | + | 166545.i | 1.26635 | + | 0.731129i | 0.974296 | − | 0.225272i | \(-0.0723272\pi\) |
0.292056 | + | 0.956401i | \(0.405661\pi\) | |||||||
\(140\) | −572160. | + | 238267.i | −2.46716 | + | 1.02741i | ||||
\(141\) | 6463.59i | 0.0273795i | ||||||||
\(142\) | 98538.3 | + | 199340.i | 0.410095 | + | 0.829608i | ||||
\(143\) | 8945.06 | − | 15493.3i | 0.0365800 | − | 0.0633583i | ||||
\(144\) | 163584. | − | 164828.i | 0.657407 | − | 0.662407i | ||||
\(145\) | 472745.i | 1.86727i | ||||||||
\(146\) | −128225. | − | 259395.i | −0.497841 | − | 1.00712i | ||||
\(147\) | −29307.8 | − | 50762.5i | −0.111864 | − | 0.193754i | ||||
\(148\) | −8663.97 | + | 66786.7i | −0.0325134 | + | 0.250632i | ||||
\(149\) | −1980.69 | − | 3430.66i | −0.00730890 | − | 0.0126594i | 0.862348 | − | 0.506316i | \(-0.168993\pi\) |
−0.869657 | + | 0.493657i | \(0.835660\pi\) | |||||||
\(150\) | 200893. | + | 12976.1i | 0.729014 | + | 0.0470887i | ||||
\(151\) | −275213. | −0.982260 | −0.491130 | − | 0.871086i | \(-0.663416\pi\) | ||||
−0.491130 | + | 0.871086i | \(0.663416\pi\) | |||||||
\(152\) | 242137. | + | 150021.i | 0.850066 | + | 0.526676i | ||||
\(153\) | 122449. | 0.422888 | ||||||||
\(154\) | −61343.7 | − | 3962.34i | −0.208434 | − | 0.0134632i | ||||
\(155\) | 326819. | + | 566067.i | 1.09264 | + | 1.89251i | ||||
\(156\) | −4833.66 | + | 37260.6i | −0.0159025 | + | 0.122585i | ||||
\(157\) | 206589. | + | 357822.i | 0.668894 | + | 1.15856i | 0.978214 | + | 0.207600i | \(0.0665654\pi\) |
−0.309320 | + | 0.950958i | \(0.600101\pi\) | |||||||
\(158\) | −218158. | − | 441326.i | −0.695229 | − | 1.40642i | ||||
\(159\) | − | 80577.2i | − | 0.252767i | ||||||
\(160\) | −126537. | − | 620767.i | −0.390767 | − | 1.91703i | ||||
\(161\) | 259721. | − | 449850.i | 0.789665 | − | 1.36774i | ||||
\(162\) | 119043. | + | 240819.i | 0.356381 | + | 0.720948i | ||||
\(163\) | − | 58659.1i | − | 0.172928i | −0.996255 | − | 0.0864642i | \(-0.972443\pi\) | ||
0.996255 | − | 0.0864642i | \(-0.0275568\pi\) | |||||||
\(164\) | 284308. | − | 118396.i | 0.825429 | − | 0.343737i | ||||
\(165\) | 23406.4 | + | 13513.7i | 0.0669305 | + | 0.0386424i | ||||
\(166\) | 12015.1 | − | 186015.i | 0.0338422 | − | 0.523934i | ||||
\(167\) | 296161. | − | 512966.i | 0.821744 | − | 1.42330i | −0.0826383 | − | 0.996580i | \(-0.526335\pi\) |
0.904382 | − | 0.426723i | \(-0.140332\pi\) | |||||||
\(168\) | 122133. | − | 41845.8i | 0.333855 | − | 0.114388i | ||||
\(169\) | −143146. | − | 247936.i | −0.385533 | − | 0.667763i | ||||
\(170\) | 185327. | − | 277931.i | 0.491831 | − | 0.737589i | ||||
\(171\) | −276124. | + | 226054.i | −0.722128 | + | 0.591183i | ||||
\(172\) | −552682. | + | 230156.i | −1.42447 | + | 0.593200i | ||||
\(173\) | −39293.7 | + | 22686.2i | −0.0998176 | + | 0.0576297i | −0.549078 | − | 0.835771i | \(-0.685021\pi\) |
0.449260 | + | 0.893401i | \(0.351688\pi\) | |||||||
\(174\) | 6347.38 | − | 98268.3i | 0.0158936 | − | 0.246060i | ||||
\(175\) | −1.35523e6 | − | 782444.i | −3.34517 | − | 1.93134i | ||||
\(176\) | 16032.8 | − | 60754.8i | 0.0390146 | − | 0.147842i | ||||
\(177\) | 70771.4 | − | 122580.i | 0.169795 | − | 0.294093i | ||||
\(178\) | 225495. | + | 150362.i | 0.533442 | + | 0.355704i | ||||
\(179\) | 345370. | 0.805660 | 0.402830 | − | 0.915275i | \(-0.368027\pi\) | ||||
0.402830 | + | 0.915275i | \(0.368027\pi\) | |||||||
\(180\) | 787095. | + | 102107.i | 1.81070 | + | 0.234894i | ||||
\(181\) | −553203. | − | 319392.i | −1.25513 | − | 0.724648i | −0.283004 | − | 0.959119i | \(-0.591331\pi\) |
−0.972123 | + | 0.234470i | \(0.924664\pi\) | |||||||
\(182\) | 162036. | − | 243002.i | 0.362604 | − | 0.543789i | ||||
\(183\) | 52089.9 | 0.114981 | ||||||||
\(184\) | 400191. | + | 348951.i | 0.871410 | + | 0.759837i | ||||
\(185\) | −199337. | + | 115088.i | −0.428213 | + | 0.247229i | ||||
\(186\) | −60334.7 | − | 122055.i | −0.127875 | − | 0.258687i | ||||
\(187\) | 28693.1 | − | 16566.0i | 0.0600030 | − | 0.0346428i | ||||
\(188\) | 40804.7 | + | 31187.9i | 0.0842007 | + | 0.0643565i | ||||
\(189\) | 335047.i | 0.682261i | ||||||||
\(190\) | 95175.2 | + | 968875.i | 0.191267 | + | 1.94708i | ||||
\(191\) | 571829.i | 1.13418i | 0.823655 | + | 0.567091i | \(0.191931\pi\) | ||||
−0.823655 | + | 0.567091i | \(0.808069\pi\) | |||||||
\(192\) | 17968.1 | + | 130736.i | 0.0351763 | + | 0.255943i | ||||
\(193\) | −595146. | + | 343607.i | −1.15009 | + | 0.664002i | −0.948908 | − | 0.315553i | \(-0.897810\pi\) |
−0.201177 | + | 0.979555i | \(0.564477\pi\) | |||||||
\(194\) | −455066. | + | 224950.i | −0.868100 | + | 0.429122i | ||||
\(195\) | −111211. | + | 64207.7i | −0.209441 | + | 0.120921i | ||||
\(196\) | −461880. | − | 59917.8i | −0.858793 | − | 0.111408i | ||||
\(197\) | 833534. | 1.53023 | 0.765117 | − | 0.643891i | \(-0.222681\pi\) | ||||
0.765117 | + | 0.643891i | \(0.222681\pi\) | |||||||
\(198\) | 65494.2 | + | 43672.1i | 0.118724 | + | 0.0791665i | ||||
\(199\) | 425483. | + | 245653.i | 0.761640 | + | 0.439733i | 0.829884 | − | 0.557936i | \(-0.188406\pi\) |
−0.0682444 | + | 0.997669i | \(0.521740\pi\) | |||||||
\(200\) | 1.05126e6 | − | 1.20563e6i | 1.85838 | − | 2.13127i | ||||
\(201\) | −20670.5 | −0.0360879 | ||||||||
\(202\) | 106226. | − | 159305.i | 0.183170 | − | 0.274696i | ||||
\(203\) | −382739. | + | 662923.i | −0.651872 | + | 1.12908i | ||||
\(204\) | −42255.2 | + | 55284.5i | −0.0710893 | + | 0.0930096i | ||||
\(205\) | 911570. | + | 526295.i | 1.51498 | + | 0.874671i | ||||
\(206\) | −1.17134e6 | − | 75659.5i | −1.92315 | − | 0.124221i | ||||
\(207\) | −576070. | + | 332594.i | −0.934436 | + | 0.539497i | ||||
\(208\) | 211903. | + | 210304.i | 0.339609 | + | 0.337046i | ||||
\(209\) | −34120.9 | + | 90327.3i | −0.0540325 | + | 0.143039i | ||||
\(210\) | 367113. | + | 244794.i | 0.574449 | + | 0.383048i | ||||
\(211\) | 169744. | + | 294006.i | 0.262476 | + | 0.454621i | 0.966899 | − | 0.255159i | \(-0.0821277\pi\) |
−0.704423 | + | 0.709780i | \(0.748794\pi\) | |||||||
\(212\) | −508685. | − | 388799.i | −0.777337 | − | 0.594136i | ||||
\(213\) | 79153.7 | − | 137098.i | 0.119542 | − | 0.207054i | ||||
\(214\) | −130170. | − | 8407.98i | −0.194302 | − | 0.0125504i | ||||
\(215\) | −1.77205e6 | − | 1.02309e6i | −2.61445 | − | 1.50945i | ||||
\(216\) | −336084. | − | 65859.1i | −0.490133 | − | 0.0960465i | ||||
\(217\) | 1.05838e6i | 1.52579i | ||||||||
\(218\) | −412267. | + | 203793.i | −0.587540 | + | 0.290435i | ||||
\(219\) | −103000. | + | 178402.i | −0.145120 | + | 0.251356i | ||||
\(220\) | 198252. | − | 82558.9i | 0.276160 | − | 0.115002i | ||||
\(221\) | 157420.i | 0.216810i | ||||||||
\(222\) | 42981.0 | − | 21246.5i | 0.0585321 | − | 0.0289338i | ||||
\(223\) | 75210.3 | + | 130268.i | 0.101278 | + | 0.175419i | 0.912211 | − | 0.409720i | \(-0.134374\pi\) |
−0.810933 | + | 0.585138i | \(0.801040\pi\) | |||||||
\(224\) | 325138. | − | 972938.i | 0.432960 | − | 1.29558i | ||||
\(225\) | 1.00198e6 | + | 1.73549e6i | 1.31948 | + | 2.28541i | ||||
\(226\) | 23415.7 | − | 362516.i | 0.0304956 | − | 0.472124i | ||||
\(227\) | 1.30617e6 | 1.68243 | 0.841213 | − | 0.540703i | \(-0.181842\pi\) | ||||
0.841213 | + | 0.540703i | \(0.181842\pi\) | |||||||
\(228\) | −6775.10 | − | 202676.i | −0.00863135 | − | 0.258205i | ||||
\(229\) | −375776. | −0.473522 | −0.236761 | − | 0.971568i | \(-0.576086\pi\) | ||||
−0.236761 | + | 0.971568i | \(0.576086\pi\) | |||||||
\(230\) | −116972. | + | 1.81093e6i | −0.145802 | + | 2.25727i | ||||
\(231\) | 21881.6 | + | 37900.0i | 0.0269805 | + | 0.0467315i | ||||
\(232\) | −589742. | − | 514233.i | −0.719353 | − | 0.627249i | ||||
\(233\) | −158635. | − | 274764.i | −0.191430 | − | 0.331566i | 0.754295 | − | 0.656536i | \(-0.227979\pi\) |
−0.945724 | + | 0.324970i | \(0.894646\pi\) | |||||||
\(234\) | −335292. | + | 165743.i | −0.400298 | + | 0.197877i | ||||
\(235\) | 175533.i | 0.207342i | ||||||||
\(236\) | −432363. | − | 1.03825e6i | −0.505322 | − | 1.21345i | ||||
\(237\) | −175241. | + | 303527.i | −0.202659 | + | 0.351015i | ||||
\(238\) | 484897. | − | 239696.i | 0.554890 | − | 0.274295i | ||||
\(239\) | 672989.i | 0.762102i | 0.924554 | + | 0.381051i | \(0.124438\pi\) | ||||
−0.924554 | + | 0.381051i | \(0.875562\pi\) | |||||||
\(240\) | −317715. | + | 320131.i | −0.356048 | + | 0.358756i | ||||
\(241\) | −1.00505e6 | − | 580265.i | −1.11466 | − | 0.643552i | −0.174631 | − | 0.984634i | \(-0.555873\pi\) |
−0.940033 | + | 0.341082i | \(0.889207\pi\) | |||||||
\(242\) | −887892. | − | 57351.0i | −0.974590 | − | 0.0629510i | ||||
\(243\) | 325494. | − | 563772.i | 0.353612 | − | 0.612474i | ||||
\(244\) | 251343. | − | 328844.i | 0.270266 | − | 0.353603i | ||||
\(245\) | −795915. | − | 1.37857e6i | −0.847133 | − | 1.46728i | ||||
\(246\) | −182420. | − | 121639.i | −0.192191 | − | 0.128155i | ||||
\(247\) | −290615. | − | 354986.i | −0.303093 | − | 0.370228i | ||||
\(248\) | −1.06166e6 | − | 208044.i | −1.09612 | − | 0.214795i | ||||
\(249\) | −114926. | + | 66352.3i | −0.117468 | + | 0.0678200i | ||||
\(250\) | 3.52630e6 | + | 227772.i | 3.56837 | + | 0.230489i | ||||
\(251\) | −50440.9 | − | 29122.1i | −0.0505357 | − | 0.0291768i | 0.474519 | − | 0.880245i | \(-0.342622\pi\) |
−0.525055 | + | 0.851068i | \(0.675955\pi\) | |||||||
\(252\) | 1.02106e6 | + | 780422.i | 1.01287 | + | 0.774156i | ||||
\(253\) | −89992.7 | + | 155872.i | −0.0883906 | + | 0.153097i | ||||
\(254\) | −64645.9 | + | 96948.1i | −0.0628719 | + | 0.0942877i | ||||
\(255\) | −237821. | −0.229034 | ||||||||
\(256\) | 912040. | + | 517393.i | 0.869789 | + | 0.493424i | ||||
\(257\) | 220465. | + | 127285.i | 0.208212 | + | 0.120211i | 0.600480 | − | 0.799640i | \(-0.294976\pi\) |
−0.392268 | + | 0.919851i | \(0.628309\pi\) | |||||||
\(258\) | 354615. | + | 236461.i | 0.331672 | + | 0.221162i | ||||
\(259\) | −372704. | −0.345235 | ||||||||
\(260\) | −131268. | + | 1.01189e6i | −0.120428 | + | 0.928325i | ||||
\(261\) | 848927. | − | 490128.i | 0.771382 | − | 0.445357i | ||||
\(262\) | −363513. | + | 179693.i | −0.327165 | + | 0.161725i | ||||
\(263\) | 1.47513e6 | − | 851669.i | 1.31505 | − | 0.759244i | 0.332122 | − | 0.943236i | \(-0.392235\pi\) |
0.982928 | + | 0.183992i | \(0.0589021\pi\) | |||||||
\(264\) | −42318.6 | + | 14499.5i | −0.0373699 | + | 0.0128039i | ||||
\(265\) | − | 2.18825e6i | − | 1.91418i | ||||||
\(266\) | −650948. | + | 1.43569e6i | −0.564082 | + | 1.24411i | ||||
\(267\) | − | 192953.i | − | 0.165643i | ||||||
\(268\) | −99738.9 | + | 130493.i | −0.0848257 | + | 0.110982i | ||||
\(269\) | −322613. | + | 186261.i | −0.271832 | + | 0.156942i | −0.629720 | − | 0.776822i | \(-0.716830\pi\) |
0.357888 | + | 0.933765i | \(0.383497\pi\) | |||||||
\(270\) | −518696. | − | 1.04931e6i | −0.433016 | − | 0.875977i | ||||
\(271\) | 312244. | − | 180274.i | 0.258268 | − | 0.149111i | −0.365276 | − | 0.930899i | \(-0.619025\pi\) |
0.623544 | + | 0.781788i | \(0.285692\pi\) | |||||||
\(272\) | 145123. | + | 533515.i | 0.118936 | + | 0.437244i | ||||
\(273\) | −207933. | −0.168856 | ||||||||
\(274\) | −1.03053e6 | + | 1.54546e6i | −0.829246 | + | 1.24360i | ||||
\(275\) | 469584. | + | 271115.i | 0.374440 | + | 0.216183i | ||||
\(276\) | 48629.6 | − | 374864.i | 0.0384262 | − | 0.296211i | ||||
\(277\) | 1.15217e6 | 0.902226 | 0.451113 | − | 0.892467i | \(-0.351027\pi\) | ||||
0.451113 | + | 0.892467i | \(0.351027\pi\) | |||||||
\(278\) | −1.56768e6 | − | 1.04534e6i | −1.21659 | − | 0.811235i | ||||
\(279\) | 677674. | − | 1.17377e6i | 0.521207 | − | 0.902757i | ||||
\(280\) | 3.31677e6 | − | 1.13641e6i | 2.52825 | − | 0.866245i | ||||
\(281\) | −1.60778e6 | − | 928253.i | −1.21468 | − | 0.701295i | −0.250904 | − | 0.968012i | \(-0.580728\pi\) |
−0.963775 | + | 0.266717i | \(0.914061\pi\) | |||||||
\(282\) | 2356.82 | − | 36487.5i | 0.00176483 | − | 0.0273226i | ||||
\(283\) | −893708. | + | 515982.i | −0.663330 | + | 0.382974i | −0.793544 | − | 0.608512i | \(-0.791767\pi\) |
0.130215 | + | 0.991486i | \(0.458433\pi\) | |||||||
\(284\) | −483572. | − | 1.16122e6i | −0.355767 | − | 0.854317i | ||||
\(285\) | 536292. | − | 439045.i | 0.391101 | − | 0.320182i | ||||
\(286\) | −56145.0 | + | 84199.4i | −0.0405878 | + | 0.0608687i | ||||
\(287\) | 852188. | + | 1.47603e6i | 0.610704 | + | 1.05777i | ||||
\(288\) | −983547. | + | 870821.i | −0.698737 | + | 0.618654i | ||||
\(289\) | 564160. | − | 977154.i | 0.397336 | − | 0.688206i | ||||
\(290\) | 172377. | − | 2.66869e6i | 0.120360 | − | 1.86339i | ||||
\(291\) | 312977. | + | 180697.i | 0.216660 | + | 0.125089i | ||||
\(292\) | 629259. | + | 1.51106e6i | 0.431889 | + | 1.03711i | ||||
\(293\) | 573532.i | 0.390291i | 0.980774 | + | 0.195145i | \(0.0625179\pi\) | ||||
−0.980774 | + | 0.195145i | \(0.937482\pi\) | |||||||
\(294\) | 146935. | + | 297246.i | 0.0991421 | + | 0.200561i | ||||
\(295\) | 1.92195e6 | − | 3.32891e6i | 1.28584 | − | 2.22714i | ||||
\(296\) | 73261.3 | − | 373858.i | 0.0486010 | − | 0.248015i | ||||
\(297\) | − | 116093.i | − | 0.0763684i | ||||||
\(298\) | 9930.28 | + | 20088.6i | 0.00647770 | + | 0.0131042i | ||||
\(299\) | −427584. | − | 740597.i | −0.276594 | − | 0.479076i | ||||
\(300\) | −1.12933e6 | − | 146503.i | −0.724463 | − | 0.0939816i | ||||
\(301\) | −1.65661e6 | − | 2.86934e6i | −1.05391 | − | 1.82543i | ||||
\(302\) | 1.55360e6 | + | 100351.i | 0.980217 | + | 0.0633145i | ||||
\(303\) | −136315. | −0.0852978 | ||||||||
\(304\) | −1.31218e6 | − | 935174.i | −0.814350 | − | 0.580374i | ||||
\(305\) | 1.41461e6 | 0.870738 | ||||||||
\(306\) | −691234. | − | 44648.4i | −0.422009 | − | 0.0272585i | ||||
\(307\) | 392332. | + | 679539.i | 0.237579 | + | 0.411499i | 0.960019 | − | 0.279935i | \(-0.0903128\pi\) |
−0.722440 | + | 0.691433i | \(0.756980\pi\) | |||||||
\(308\) | 344846. | + | 44735.5i | 0.207133 | + | 0.0268705i | ||||
\(309\) | 417822. | + | 723689.i | 0.248940 | + | 0.431177i | ||||
\(310\) | −1.63852e6 | − | 3.31467e6i | −0.968383 | − | 1.95901i | ||||
\(311\) | − | 590840.i | − | 0.346393i | −0.984887 | − | 0.173196i | \(-0.944590\pi\) | ||
0.984887 | − | 0.173196i | \(-0.0554095\pi\) | |||||||
\(312\) | 40872.8 | − | 208577.i | 0.0237710 | − | 0.121305i | ||||
\(313\) | 171100. | − | 296353.i | 0.0987161 | − | 0.170981i | −0.812437 | − | 0.583048i | \(-0.801860\pi\) |
0.911153 | + | 0.412067i | \(0.135193\pi\) | |||||||
\(314\) | −1.03574e6 | − | 2.09527e6i | −0.592825 | − | 1.19926i | ||||
\(315\) | 4.39239e6i | 2.49416i | ||||||||
\(316\) | 1.07060e6 | + | 2.57087e6i | 0.603128 | + | 1.44831i | ||||
\(317\) | 1.40964e6 | + | 813857.i | 0.787881 | + | 0.454883i | 0.839216 | − | 0.543798i | \(-0.183014\pi\) |
−0.0513352 | + | 0.998681i | \(0.516348\pi\) | |||||||
\(318\) | −29380.9 | + | 454866.i | −0.0162928 | + | 0.252241i | ||||
\(319\) | 132618. | − | 229701.i | 0.0729669 | − | 0.126382i | ||||
\(320\) | 487963. | + | 3.55043e6i | 0.266386 | + | 1.93823i | ||||
\(321\) | 46432.2 | + | 80423.0i | 0.0251511 | + | 0.0435630i | ||||
\(322\) | −1.63018e6 | + | 2.44474e6i | −0.876184 | + | 1.31399i | ||||
\(323\) | −137392. | − | 838450.i | −0.0732751 | − | 0.447168i | ||||
\(324\) | −584197. | − | 1.40285e6i | −0.309169 | − | 0.742420i | ||||
\(325\) | −2.23114e6 | + | 1.28815e6i | −1.17171 | + | 0.676486i | ||||
\(326\) | −21388.8 | + | 331136.i | −0.0111466 | + | 0.172569i | ||||
\(327\) | 283541. | + | 163703.i | 0.146638 | + | 0.0846615i | ||||
\(328\) | −1.64812e6 | + | 564687.i | −0.845869 | + | 0.289817i | ||||
\(329\) | −142113. | + | 246147.i | −0.0723842 | + | 0.125373i | ||||
\(330\) | −127204. | − | 84820.6i | −0.0643005 | − | 0.0428762i | ||||
\(331\) | 1.63245e6 | 0.818972 | 0.409486 | − | 0.912316i | \(-0.365708\pi\) | ||||
0.409486 | + | 0.912316i | \(0.365708\pi\) | |||||||
\(332\) | −135653. | + | 1.04569e6i | −0.0675435 | + | 0.520663i | ||||
\(333\) | 413335. | + | 238639.i | 0.204264 | + | 0.117932i | ||||
\(334\) | −1.85890e6 | + | 2.78775e6i | −0.911779 | + | 1.36737i | ||||
\(335\) | −561352. | −0.273290 | ||||||||
\(336\) | −704708. | + | 191690.i | −0.340534 | + | 0.0926300i | ||||
\(337\) | −2.53284e6 | + | 1.46234e6i | −1.21488 | + | 0.701410i | −0.963818 | − | 0.266561i | \(-0.914113\pi\) |
−0.251060 | + | 0.967971i | \(0.580779\pi\) | |||||||
\(338\) | 717666. | + | 1.45181e6i | 0.341689 | + | 0.691225i | ||||
\(339\) | −223973. | + | 129311.i | −0.105852 | + | 0.0611134i | ||||
\(340\) | −1.14753e6 | + | 1.50137e6i | −0.538352 | + | 0.704353i | ||||
\(341\) | − | 366727.i | − | 0.170788i | ||||||
\(342\) | 1.64117e6 | − | 1.17541e6i | 0.758733 | − | 0.543406i | ||||
\(343\) | 398868.i | 0.183060i | ||||||||
\(344\) | 3.20386e6 | − | 1.09773e6i | 1.45975 | − | 0.500148i | ||||
\(345\) | 1.11885e6 | − | 645969.i | 0.506086 | − | 0.292189i | ||||
\(346\) | 230088. | − | 113738.i | 0.103325 | − | 0.0510758i | ||||
\(347\) | −2.73564e6 | + | 1.57942e6i | −1.21965 | + | 0.704164i | −0.964843 | − | 0.262828i | \(-0.915345\pi\) |
−0.254806 | + | 0.966992i | \(0.582012\pi\) | |||||||
\(348\) | −71663.1 | + | 552419.i | −0.0317210 | + | 0.244524i | ||||
\(349\) | −1.02170e6 | −0.449016 | −0.224508 | − | 0.974472i | \(-0.572077\pi\) | ||||
−0.224508 | + | 0.974472i | \(0.572077\pi\) | |||||||
\(350\) | 7.36510e6 | + | 4.91112e6i | 3.21373 | + | 2.14294i | ||||
\(351\) | 477694. | + | 275797.i | 0.206958 | + | 0.119487i | ||||
\(352\) | −112659. | + | 337121.i | −0.0484631 | + | 0.145020i | ||||
\(353\) | −384733. | −0.164332 | −0.0821661 | − | 0.996619i | \(-0.526184\pi\) | ||||
−0.0821661 | + | 0.996619i | \(0.526184\pi\) | |||||||
\(354\) | −444207. | + | 666167.i | −0.188398 | + | 0.282537i | ||||
\(355\) | 2.14959e6 | − | 3.72319e6i | 0.905283 | − | 1.56800i | ||||
\(356\) | −1.21811e6 | − | 931032.i | −0.509405 | − | 0.389349i | ||||
\(357\) | −333493. | − | 192542.i | −0.138489 | − | 0.0799569i | ||||
\(358\) | −1.94964e6 | − | 125932.i | −0.803984 | − | 0.0519312i | ||||
\(359\) | 942762. | − | 544304.i | 0.386070 | − | 0.222897i | −0.294386 | − | 0.955687i | \(-0.595115\pi\) |
0.680456 | + | 0.732789i | \(0.261782\pi\) | |||||||
\(360\) | −4.40599e6 | − | 863399.i | −1.79179 | − | 0.351120i | ||||
\(361\) | 1.85770e6 | + | 1.63708e6i | 0.750251 | + | 0.661153i | ||||
\(362\) | 3.00642e6 | + | 2.00471e6i | 1.20581 | + | 0.804044i | ||||
\(363\) | 316715. | + | 548567.i | 0.126154 | + | 0.218506i | ||||
\(364\) | −1.00331e6 | + | 1.31268e6i | −0.396902 | + | 0.519286i | ||||
\(365\) | −2.79719e6 | + | 4.84488e6i | −1.09898 | + | 1.90349i | ||||
\(366\) | −294052. | − | 18993.5i | −0.114742 | − | 0.00741144i | ||||
\(367\) | −2.60609e6 | − | 1.50463e6i | −1.01001 | − | 0.583127i | −0.0988127 | − | 0.995106i | \(-0.531504\pi\) |
−0.911193 | + | 0.411979i | \(0.864838\pi\) | |||||||
\(368\) | −2.13188e6 | − | 2.11578e6i | −0.820620 | − | 0.814426i | ||||
\(369\) | − | 2.18259e6i | − | 0.834462i | ||||||
\(370\) | 1.16724e6 | − | 576995.i | 0.443258 | − | 0.219113i | ||||
\(371\) | 1.77163e6 | − | 3.06855e6i | 0.668248 | − | 1.15744i | ||||
\(372\) | 296090. | + | 711012.i | 0.110934 | + | 0.266391i | ||||
\(373\) | − | 1.47256e6i | − | 0.548027i | −0.961726 | − | 0.274014i | \(-0.911649\pi\) | ||
0.961726 | − | 0.274014i | \(-0.0883514\pi\) | |||||||
\(374\) | −168015. | + | 83054.0i | −0.0621113 | + | 0.0307030i | ||||
\(375\) | −1.25785e6 | − | 2.17866e6i | −0.461903 | − | 0.800039i | ||||
\(376\) | −218974. | − | 190937.i | −0.0798773 | − | 0.0696500i | ||||
\(377\) | 630110. | + | 1.09138e6i | 0.228330 | + | 0.395479i | ||||
\(378\) | 122168. | − | 1.89137e6i | 0.0439772 | − | 0.680842i | ||||
\(379\) | −2.47021e6 | −0.883357 | −0.441679 | − | 0.897173i | \(-0.645617\pi\) | ||||
−0.441679 | + | 0.897173i | \(0.645617\pi\) | |||||||
\(380\) | −183992. | − | 5.50409e6i | −0.0653643 | − | 1.95536i | ||||
\(381\) | 82957.0 | 0.0292779 | ||||||||
\(382\) | 208506. | − | 3.22803e6i | 0.0731071 | − | 1.13182i | ||||
\(383\) | −1.72934e6 | − | 2.99530e6i | −0.602396 | − | 1.04338i | −0.992457 | − | 0.122592i | \(-0.960879\pi\) |
0.390061 | − | 0.920789i | \(-0.372454\pi\) | |||||||
\(384\) | −53761.4 | − | 744570.i | −0.0186056 | − | 0.257678i | ||||
\(385\) | 594242. | + | 1.02926e6i | 0.204320 | + | 0.353893i | ||||
\(386\) | 3.48494e6 | − | 1.72269e6i | 1.19049 | − | 0.588489i | ||||
\(387\) | 4.24286e6i | 1.44006i | ||||||||
\(388\) | 2.65091e6 | − | 1.10393e6i | 0.893955 | − | 0.372274i | ||||
\(389\) | −777923. | + | 1.34740e6i | −0.260653 | + | 0.451464i | −0.966416 | − | 0.256984i | \(-0.917271\pi\) |
0.705763 | + | 0.708448i | \(0.250604\pi\) | |||||||
\(390\) | 651209. | − | 321908.i | 0.216800 | − | 0.107169i | ||||
\(391\) | − | 1.58374e6i | − | 0.523893i | ||||||
\(392\) | 2.58550e6 | + | 506656.i | 0.849826 | + | 0.166532i | ||||
\(393\) | 250010. | + | 144344.i | 0.0816538 | + | 0.0471429i | ||||
\(394\) | −4.70538e6 | − | 303931.i | −1.52705 | − | 0.0986359i | ||||
\(395\) | −4.75905e6 | + | 8.24292e6i | −1.53471 | + | 2.65820i | ||||
\(396\) | −353796. | − | 270414.i | −0.113374 | − | 0.0866546i | ||||
\(397\) | 958527. | + | 1.66022e6i | 0.305231 | + | 0.528675i | 0.977313 | − | 0.211802i | \(-0.0679331\pi\) |
−0.672082 | + | 0.740477i | \(0.734600\pi\) | |||||||
\(398\) | −2.31232e6 | − | 1.54188e6i | −0.731712 | − | 0.487912i | ||||
\(399\) | 1.10749e6 | − | 181479.i | 0.348263 | − | 0.0570681i | ||||
\(400\) | −6.37407e6 | + | 6.42255e6i | −1.99190 | + | 2.00705i | ||||
\(401\) | 1.73728e6 | − | 1.00302e6i | 0.539520 | − | 0.311492i | −0.205364 | − | 0.978686i | \(-0.565838\pi\) |
0.744885 | + | 0.667193i | \(0.232505\pi\) | |||||||
\(402\) | 116687. | + | 7537.09i | 0.0360128 | + | 0.00232615i | ||||
\(403\) | 1.50900e6 | + | 871219.i | 0.462834 | + | 0.267217i | ||||
\(404\) | −657745. | + | 860560.i | −0.200495 | + | 0.262318i | ||||
\(405\) | 2.59688e6 | − | 4.49794e6i | 0.786711 | − | 1.36262i | ||||
\(406\) | 2.40232e6 | − | 3.60270e6i | 0.723295 | − | 1.08471i | ||||
\(407\) | 129141. | 0.0386436 | ||||||||
\(408\) | 258693. | − | 296679.i | 0.0769367 | − | 0.0882339i | ||||
\(409\) | 5.69490e6 | + | 3.28795e6i | 1.68336 | + | 0.971890i | 0.959399 | + | 0.282052i | \(0.0910149\pi\) |
0.723963 | + | 0.689838i | \(0.242318\pi\) | |||||||
\(410\) | −4.95399e6 | − | 3.30337e6i | −1.45545 | − | 0.970505i | ||||
\(411\) | 1.32243e6 | 0.386160 | ||||||||
\(412\) | 6.58472e6 | + | 854209.i | 1.91115 | + | 0.247925i | ||||
\(413\) | 5.39024e6 | − | 3.11206e6i | 1.55501 | − | 0.897785i | ||||
\(414\) | 3.37324e6 | − | 1.66747e6i | 0.967267 | − | 0.478143i | ||||
\(415\) | −3.12105e6 | + | 1.80194e6i | −0.889571 | + | 0.513594i | ||||
\(416\) | −1.11953e6 | − | 1.26445e6i | −0.317178 | − | 0.358235i | ||||
\(417\) | 1.34144e6i | 0.377773i | ||||||||
\(418\) | 225552. | − | 497464.i | 0.0631401 | − | 0.139258i | ||||
\(419\) | 5.78950e6i | 1.61104i | 0.592569 | + | 0.805520i | \(0.298114\pi\) | ||||
−0.592569 | + | 0.805520i | \(0.701886\pi\) | |||||||
\(420\) | −1.98312e6 | − | 1.51575e6i | −0.548563 | − | 0.419279i | ||||
\(421\) | −4.26798e6 | + | 2.46412e6i | −1.17359 | + | 0.677574i | −0.954523 | − | 0.298136i | \(-0.903635\pi\) |
−0.219068 | + | 0.975709i | \(0.570302\pi\) | |||||||
\(422\) | −851019. | − | 1.72158e6i | −0.232626 | − | 0.470595i | ||||
\(423\) | 315211. | − | 181987.i | 0.0856546 | − | 0.0494527i | ||||
\(424\) | 2.72981e6 | + | 2.38029e6i | 0.737424 | + | 0.643006i | ||||
\(425\) | −4.77123e6 | −1.28132 | ||||||||
\(426\) | −496820. | + | 745070.i | −0.132640 | + | 0.198917i | ||||
\(427\) | 1.98369e6 | + | 1.14528e6i | 0.526507 | + | 0.303979i | ||||
\(428\) | 731755. | + | 94927.6i | 0.193089 | + | 0.0250486i | ||||
\(429\) | 72048.2 | 0.0189008 | ||||||||
\(430\) | 9.63034e6 | + | 6.42160e6i | 2.51172 | + | 1.67484i | ||||
\(431\) | −616672. | + | 1.06811e6i | −0.159905 | + | 0.276963i | −0.934834 | − | 0.355085i | \(-0.884452\pi\) |
0.774930 | + | 0.632048i | \(0.217785\pi\) | |||||||
\(432\) | 1.87321e6 | + | 494327.i | 0.482922 | + | 0.127440i | ||||
\(433\) | −3.34659e6 | − | 1.93216e6i | −0.857794 | − | 0.495248i | 0.00547864 | − | 0.999985i | \(-0.498256\pi\) |
−0.863273 | + | 0.504737i | \(0.831589\pi\) | |||||||
\(434\) | 385918. | − | 5.97467e6i | 0.0983492 | − | 1.52261i | ||||
\(435\) | −1.64880e6 | + | 951934.i | −0.417777 | + | 0.241203i | ||||
\(436\) | 2.40159e6 | − | 1.00011e6i | 0.605039 | − | 0.251959i | ||||
\(437\) | 2.92377e6 | + | 3.57137e6i | 0.732385 | + | 0.894606i | ||||
\(438\) | 646497. | − | 969537.i | 0.161020 | − | 0.241479i | ||||
\(439\) | −1.84789e6 | − | 3.20063e6i | −0.457629 | − | 0.792637i | 0.541206 | − | 0.840890i | \(-0.317968\pi\) |
−0.998835 | + | 0.0482528i | \(0.984635\pi\) | |||||||
\(440\) | −1.14925e6 | + | 393764.i | −0.282998 | + | 0.0969626i | ||||
\(441\) | −1.65036e6 | + | 2.85851e6i | −0.404095 | + | 0.699913i | ||||
\(442\) | 57400.1 | − | 888651.i | 0.0139752 | − | 0.216359i | ||||
\(443\) | −479466. | − | 276820.i | −0.116078 | − | 0.0670174i | 0.440837 | − | 0.897587i | \(-0.354682\pi\) |
−0.556915 | + | 0.830570i | \(0.688015\pi\) | |||||||
\(444\) | −250379. | + | 104266.i | −0.0602754 | + | 0.0251008i | ||||
\(445\) | − | 5.24005e6i | − | 1.25440i | ||||||
\(446\) | −377069. | − | 762798.i | −0.0897602 | − | 0.181582i | ||||
\(447\) | 7976.77 | − | 13816.2i | 0.00188825 | − | 0.00327054i | ||||
\(448\) | −2.19020e6 | + | 5.37377e6i | −0.515570 | + | 1.26498i | ||||
\(449\) | − | 6.58290e6i | − | 1.54100i | −0.637443 | − | 0.770498i | \(-0.720008\pi\) | ||
0.637443 | − | 0.770498i | \(-0.279992\pi\) | |||||||
\(450\) | −5.02347e6 | − | 1.01623e7i | −1.16943 | − | 2.36571i | ||||
\(451\) | −295281. | − | 511441.i | −0.0683587 | − | 0.118401i | ||||
\(452\) | −264368. | + | 2.03790e6i | −0.0608643 | + | 0.469176i | ||||
\(453\) | −554177. | − | 959863.i | −0.126883 | − | 0.219768i | ||||
\(454\) | −7.37347e6 | − | 476270.i | −1.67893 | − | 0.108446i | ||||
\(455\) | −5.64686e6 | −1.27873 | ||||||||
\(456\) | −35655.5 | + | 1.14659e6i | −0.00802997 | + | 0.258224i | ||||
\(457\) | −2.13565e6 | −0.478344 | −0.239172 | − | 0.970977i | \(-0.576876\pi\) | ||||
−0.239172 | + | 0.970977i | \(0.576876\pi\) | |||||||
\(458\) | 2.12129e6 | + | 137019.i | 0.472537 | + | 0.0305223i | ||||
\(459\) | 510766. | + | 884673.i | 0.113159 | + | 0.195998i | ||||
\(460\) | 1.32064e6 | − | 1.01802e7i | 0.290998 | − | 2.24317i | ||||
\(461\) | −2008.12 | − | 3478.17i | −0.000440086 | − | 0.000762252i | 0.865805 | − | 0.500381i | \(-0.166807\pi\) |
−0.866245 | + | 0.499619i | \(0.833473\pi\) | |||||||
\(462\) | −109704. | − | 221928.i | −0.0239121 | − | 0.0483734i | ||||
\(463\) | − | 3.03840e6i | − | 0.658708i | −0.944207 | − | 0.329354i | \(-0.893169\pi\) | ||
0.944207 | − | 0.329354i | \(-0.106831\pi\) | |||||||
\(464\) | 3.14164e6 | + | 3.11793e6i | 0.677426 | + | 0.672313i | ||||
\(465\) | −1.31619e6 | + | 2.27970e6i | −0.282283 | + | 0.488929i | ||||
\(466\) | 795322. | + | 1.60891e6i | 0.169659 | + | 0.343215i | ||||
\(467\) | − | 1.68405e6i | − | 0.357325i | −0.983910 | − | 0.178663i | \(-0.942823\pi\) | ||
0.983910 | − | 0.178663i | \(-0.0571771\pi\) | |||||||
\(468\) | 1.95319e6 | − | 813375.i | 0.412221 | − | 0.171663i | ||||
\(469\) | −787176. | − | 454476.i | −0.165249 | − | 0.0954068i | ||||
\(470\) | 64004.4 | − | 990897.i | 0.0133649 | − | 0.206911i | ||||
\(471\) | −831987. | + | 1.44104e6i | −0.172808 | + | 0.299312i | ||||
\(472\) | 2.06215e6 | + | 6.01866e6i | 0.426054 | + | 1.24350i | ||||
\(473\) | 574013. | + | 994219.i | 0.117969 | + | 0.204329i | ||||
\(474\) | 1.09993e6 | − | 1.64954e6i | 0.224863 | − | 0.337222i | ||||
\(475\) | 1.07592e7 | − | 8.80822e6i | 2.18800 | − | 1.79124i | ||||
\(476\) | −2.82469e6 | + | 1.17630e6i | −0.571417 | + | 0.237958i | ||||
\(477\) | −3.92953e6 | + | 2.26871e6i | −0.790759 | + | 0.456545i | ||||
\(478\) | 245392. | − | 3.79908e6i | 0.0491236 | − | 0.760517i | ||||
\(479\) | 2.91226e6 | + | 1.68139e6i | 0.579951 | + | 0.334835i | 0.761114 | − | 0.648618i | \(-0.224653\pi\) |
−0.181163 | + | 0.983453i | \(0.557986\pi\) | |||||||
\(480\) | 1.91026e6 | − | 1.69132e6i | 0.378433 | − | 0.335060i | ||||
\(481\) | −306795. | + | 531384.i | −0.0604624 | + | 0.104724i | ||||
\(482\) | 5.46200e6 | + | 3.64212e6i | 1.07086 | + | 0.714062i | ||||
\(483\) | 2.09193e6 | 0.408018 | ||||||||
\(484\) | 4.99132e6 | + | 647504.i | 0.968505 | + | 0.125640i | ||||
\(485\) | 8.49955e6 | + | 4.90722e6i | 1.64075 | + | 0.947286i | ||||
\(486\) | −2.04301e6 | + | 3.06386e6i | −0.392356 | + | 0.588408i | ||||
\(487\) | −6.83855e6 | −1.30660 | −0.653299 | − | 0.757100i | \(-0.726615\pi\) | ||||
−0.653299 | + | 0.757100i | \(0.726615\pi\) | |||||||
\(488\) | −1.53876e6 | + | 1.76471e6i | −0.292497 | + | 0.335446i | ||||
\(489\) | 204586. | − | 118118.i | 0.0386904 | − | 0.0223379i | ||||
\(490\) | 3.99035e6 | + | 8.07234e6i | 0.750793 | + | 1.51883i | ||||
\(491\) | 126727. | − | 73165.8i | 0.0237228 | − | 0.0136963i | −0.488092 | − | 0.872792i | \(-0.662307\pi\) |
0.511814 | + | 0.859096i | \(0.328974\pi\) | |||||||
\(492\) | 985422. | + | 753179.i | 0.183531 | + | 0.140277i | ||||
\(493\) | 2.33389e6i | 0.432477i | ||||||||
\(494\) | 1.51111e6 | + | 2.10990e6i | 0.278599 | + | 0.388995i | ||||
\(495\) | − | 1.52195e6i | − | 0.279182i | ||||||
\(496\) | 5.91732e6 | + | 1.56154e6i | 1.07999 | + | 0.285002i | ||||
\(497\) | 6.02867e6 | − | 3.48065e6i | 1.09479 | − | 0.632077i | ||||
\(498\) | 672959. | − | 332659.i | 0.121595 | − | 0.0601072i | ||||
\(499\) | 7.67261e6 | − | 4.42978e6i | 1.37940 | − | 0.796400i | 0.387317 | − | 0.921947i | \(-0.373402\pi\) |
0.992088 | + | 0.125547i | \(0.0400686\pi\) | |||||||
\(500\) | −1.98233e7 | − | 2.57159e6i | −3.54609 | − | 0.460020i | ||||
\(501\) | 2.38544e6 | 0.424593 | ||||||||
\(502\) | 274125. | + | 182789.i | 0.0485500 | + | 0.0323736i | ||||
\(503\) | −6.90915e6 | − | 3.98900e6i | −1.21760 | − | 0.702982i | −0.253196 | − | 0.967415i | \(-0.581482\pi\) |
−0.964404 | + | 0.264433i | \(0.914815\pi\) | |||||||
\(504\) | −5.47944e6 | − | 4.77786e6i | −0.960859 | − | 0.837833i | ||||
\(505\) | −3.70193e6 | −0.645952 | ||||||||
\(506\) | 564853. | − | 847097.i | 0.0980751 | − | 0.147081i | ||||
\(507\) | 576485. | − | 998501.i | 0.0996020 | − | 0.172516i | ||||
\(508\) | 400282. | − | 523709.i | 0.0688188 | − | 0.0900390i | ||||
\(509\) | −5.80531e6 | − | 3.35170e6i | −0.993187 | − | 0.573417i | −0.0869614 | − | 0.996212i | \(-0.527716\pi\) |
−0.906225 | + | 0.422795i | \(0.861049\pi\) | |||||||
\(510\) | 1.34252e6 | + | 86716.7i | 0.228558 | + | 0.0147631i | ||||
\(511\) | −7.84493e6 | + | 4.52927e6i | −1.32904 | + | 0.767319i | ||||
\(512\) | −4.95989e6 | − | 3.25328e6i | −0.836175 | − | 0.548463i | ||||
\(513\) | −2.78500e6 | − | 1.05203e6i | −0.467230 | − | 0.176495i | ||||
\(514\) | −1.19813e6 | − | 798925.i | −0.200031 | − | 0.133382i | ||||
\(515\) | 1.13468e7 | + | 1.96533e7i | 1.88520 | + | 3.26526i | ||||
\(516\) | −1.91562e6 | − | 1.46415e6i | −0.316726 | − | 0.242081i | ||||
\(517\) | 49241.7 | − | 85289.2i | 0.00810228 | − | 0.0140336i | ||||
\(518\) | 2.10395e6 | + | 135899.i | 0.344517 | + | 0.0222532i | ||||
\(519\) | −158246. | − | 91363.3i | −0.0257878 | − | 0.0148886i | ||||
\(520\) | 1.10999e6 | − | 5.66435e6i | 0.180015 | − | 0.918632i | ||||
\(521\) | − | 3.34161e6i | − | 0.539339i | −0.962953 | − | 0.269670i | \(-0.913086\pi\) | ||
0.962953 | − | 0.269670i | \(-0.0869145\pi\) | |||||||
\(522\) | −4.97099e6 | + | 2.45728e6i | −0.798484 | + | 0.394709i | ||||
\(523\) | 3.20091e6 | − | 5.54413e6i | 0.511704 | − | 0.886297i | −0.488204 | − | 0.872730i | \(-0.662348\pi\) |
0.999908 | − | 0.0135678i | \(-0.00431890\pi\) | |||||||
\(524\) | 2.11759e6 | − | 881836.i | 0.336909 | − | 0.140301i | ||||
\(525\) | − | 6.30221e6i | − | 0.997917i | ||||||
\(526\) | −8.63781e6 | + | 4.26987e6i | −1.36125 | + | 0.672900i | ||||
\(527\) | 1.61347e6 | + | 2.79461e6i | 0.253066 | + | 0.438323i | ||||
\(528\) | 244179. | − | 66420.1i | 0.0381175 | − | 0.0103685i | ||||
\(529\) | 1.08358e6 | + | 1.87682e6i | 0.168354 | + | 0.291597i | ||||
\(530\) | −797900. | + | 1.23529e7i | −0.123384 | + | 1.91020i | ||||
\(531\) | −7.97048e6 | −1.22673 | ||||||||
\(532\) | 4.19815e6 | − | 7.86726e6i | 0.643101 | − | 1.20516i | ||||
\(533\) | 2.80595e6 | 0.427820 | ||||||||
\(534\) | −70356.4 | + | 1.08924e6i | −0.0106770 | + | 0.165299i | ||||
\(535\) | 1.26097e6 | + | 2.18406e6i | 0.190467 | + | 0.329898i | ||||
\(536\) | 610617. | − | 700279.i | 0.0918030 | − | 0.105283i | ||||
\(537\) | 695447. | + | 1.20455e6i | 0.104071 | + | 0.180256i | ||||
\(538\) | 1.88909e6 | − | 933824.i | 0.281383 | − | 0.139094i | ||||
\(539\) | 893105.i | 0.132413i | ||||||||
\(540\) | 2.54548e6 | + | 6.11256e6i | 0.375652 | + | 0.902067i | ||||
\(541\) | 2.09132e6 | − | 3.62228e6i | 0.307205 | − | 0.532094i | −0.670545 | − | 0.741869i | \(-0.733940\pi\) |
0.977750 | + | 0.209775i | \(0.0672730\pi\) | |||||||
\(542\) | −1.82838e6 | + | 903811.i | −0.267343 | + | 0.132154i | ||||
\(543\) | − | 2.57255e6i | − | 0.374424i | ||||||
\(544\) | −624699. | − | 3.06466e6i | −0.0905052 | − | 0.444001i | ||||
\(545\) | 7.70017e6 | + | 4.44569e6i | 1.11048 | + | 0.641133i | ||||
\(546\) | 1.17380e6 | + | 75818.5i | 0.168505 | + | 0.0108841i | ||||
\(547\) | 239528. | − | 414875.i | 0.0342286 | − | 0.0592856i | −0.848404 | − | 0.529350i | \(-0.822436\pi\) |
0.882632 | + | 0.470064i | \(0.155769\pi\) | |||||||
\(548\) | 6.38094e6 | − | 8.34850e6i | 0.907681 | − | 1.18756i | ||||
\(549\) | −1.46663e6 | − | 2.54028e6i | −0.207677 | − | 0.359708i | ||||
\(550\) | −2.55199e6 | − | 1.70169e6i | −0.359726 | − | 0.239869i | ||||
\(551\) | −4.30862e6 | − | 5.26297e6i | −0.604587 | − | 0.738502i | ||||
\(552\) | −411205. | + | 2.09841e6i | −0.0574395 | + | 0.293118i | ||||
\(553\) | −1.33471e7 | + | 7.70595e6i | −1.85598 | + | 1.07155i | ||||
\(554\) | −6.50408e6 | − | 420114.i | −0.900350 | − | 0.0581557i | ||||
\(555\) | −802784. | − | 463487.i | −0.110628 | − | 0.0638713i | ||||
\(556\) | 8.46852e6 | + | 6.47267e6i | 1.16177 | + | 0.887967i | ||||
\(557\) | 1.93826e6 | − | 3.35717e6i | 0.264712 | − | 0.458495i | −0.702776 | − | 0.711411i | \(-0.748056\pi\) |
0.967488 | + | 0.252916i | \(0.0813897\pi\) | |||||||
\(558\) | −4.25352e6 | + | 6.37891e6i | −0.578313 | + | 0.867283i | ||||
\(559\) | −5.45463e6 | −0.738305 | ||||||||
\(560\) | −1.91379e7 | + | 5.20576e6i | −2.57883 | + | 0.701478i | ||||
\(561\) | 115555. | + | 66715.4i | 0.0155017 | + | 0.00894992i | ||||
\(562\) | 8.73761e6 | + | 5.82632e6i | 1.16695 | + | 0.778132i | ||||
\(563\) | 6.98110e6 | 0.928224 | 0.464112 | − | 0.885777i | \(-0.346374\pi\) | ||||
0.464112 | + | 0.885777i | \(0.346374\pi\) | |||||||
\(564\) | −26608.9 | + | 205116.i | −0.00352232 | + | 0.0271520i | ||||
\(565\) | −6.08248e6 | + | 3.51172e6i | −0.801603 | + | 0.462806i | ||||
\(566\) | 5.23320e6 | − | 2.58689e6i | 0.686636 | − | 0.339420i | ||||
\(567\) | 7.28314e6 | − | 4.20493e6i | 0.951396 | − | 0.549289i | ||||
\(568\) | 2.30639e6 | + | 6.73152e6i | 0.299960 | + | 0.875472i | ||||
\(569\) | 1.45003e6i | 0.187757i | 0.995584 | + | 0.0938787i | \(0.0299266\pi\) | ||||
−0.995584 | + | 0.0938787i | \(0.970073\pi\) | |||||||
\(570\) | −3.18751e6 | + | 2.28290e6i | −0.410926 | + | 0.294306i | ||||
\(571\) | 2.09836e6i | 0.269334i | 0.990891 | + | 0.134667i | \(0.0429964\pi\) | ||||
−0.990891 | + | 0.134667i | \(0.957004\pi\) | |||||||
\(572\) | 347645. | − | 454841.i | 0.0444269 | − | 0.0581259i | ||||
\(573\) | −1.99437e6 | + | 1.15145e6i | −0.253758 | + | 0.146507i | ||||
\(574\) | −4.27247e6 | − | 8.64307e6i | −0.541252 | − | 1.09493i | ||||
\(575\) | 2.24467e7 | − | 1.29596e7i | 2.83128 | − | 1.63464i | ||||
\(576\) | 5.86974e6 | − | 4.55724e6i | 0.737161 | − | 0.572328i | ||||
\(577\) | 9.52681e6 | 1.19126 | 0.595632 | − | 0.803257i | \(-0.296902\pi\) | ||||
0.595632 | + | 0.803257i | \(0.296902\pi\) | |||||||
\(578\) | −3.54103e6 | + | 5.31041e6i | −0.440870 | + | 0.661163i | ||||
\(579\) | −2.39681e6 | − | 1.38380e6i | −0.297123 | − | 0.171544i | ||||
\(580\) | −1.94617e6 | + | 1.50021e7i | −0.240220 | + | 1.85175i | ||||
\(581\) | −5.83547e6 | −0.717192 | ||||||||
\(582\) | −1.70089e6 | − | 1.13417e6i | −0.208147 | − | 0.138794i | ||||
\(583\) | −613864. | + | 1.06324e6i | −0.0747999 | + | 0.129557i | ||||
\(584\) | −3.00124e6 | − | 8.75953e6i | −0.364141 | − | 1.06279i | ||||
\(585\) | 6.26246e6 | + | 3.61563e6i | 0.756581 | + | 0.436812i | ||||
\(586\) | 209127. | − | 3.23764e6i | 0.0251574 | − | 0.389479i | ||||
\(587\) | −6.05280e6 | + | 3.49458e6i | −0.725038 | + | 0.418601i | −0.816604 | − | 0.577198i | \(-0.804146\pi\) |
0.0915661 | + | 0.995799i | \(0.470813\pi\) | |||||||
\(588\) | −721079. | − | 1.73155e6i | −0.0860082 | − | 0.206535i | ||||
\(589\) | −8.79757e6 | − | 3.32326e6i | −1.04490 | − | 0.394708i | ||||
\(590\) | −1.20634e7 | + | 1.80912e7i | −1.42672 | + | 2.13962i | ||||
\(591\) | 1.67843e6 | + | 2.90713e6i | 0.197667 | + | 0.342370i | ||||
\(592\) | −549887. | + | 2.08375e6i | −0.0644865 | + | 0.244366i | ||||
\(593\) | −13576.3 | + | 23514.8i | −0.00158542 | + | 0.00274602i | −0.866817 | − | 0.498626i | \(-0.833838\pi\) |
0.865232 | + | 0.501372i | \(0.167171\pi\) | |||||||
\(594\) | −42330.9 | + | 655354.i | −0.00492256 | + | 0.0762096i | ||||
\(595\) | −9.05672e6 | − | 5.22890e6i | −1.04877 | − | 0.605506i | ||||
\(596\) | −48732.4 | − | 117023.i | −0.00561956 | − | 0.0134945i | ||||
\(597\) | 1.97862e6i | 0.227209i | ||||||||
\(598\) | 2.14371e6 | + | 4.33665e6i | 0.245139 | + | 0.495908i | ||||
\(599\) | 670686. | − | 1.16166e6i | 0.0763752 | − | 0.132286i | −0.825308 | − | 0.564682i | \(-0.808999\pi\) |
0.901683 | + | 0.432397i | \(0.142332\pi\) | |||||||
\(600\) | 6.32173e6 | + | 1.23881e6i | 0.716898 | + | 0.140484i | ||||
\(601\) | − | 1.09584e6i | − | 0.123754i | −0.998084 | − | 0.0618771i | \(-0.980291\pi\) | ||
0.998084 | − | 0.0618771i | \(-0.0197087\pi\) | |||||||
\(602\) | 8.30549e6 | + | 1.68017e7i | 0.934059 | + | 1.88957i | ||||
\(603\) | 581994. | + | 1.00804e6i | 0.0651816 | + | 0.112898i | ||||
\(604\) | −8.73363e6 | − | 1.13298e6i | −0.974098 | − | 0.126366i | ||||
\(605\) | 8.60108e6 | + | 1.48975e7i | 0.955355 | + | 1.65472i | ||||
\(606\) | 769512. | + | 49704.6i | 0.0851204 | + | 0.00549813i | ||||
\(607\) | 7.00239e6 | 0.771391 | 0.385695 | − | 0.922626i | \(-0.373962\pi\) | ||||
0.385695 | + | 0.922626i | \(0.373962\pi\) | |||||||
\(608\) | 7.06641e6 | + | 5.75760e6i | 0.775246 | + | 0.631659i | ||||
\(609\) | −3.08278e6 | −0.336821 | ||||||||
\(610\) | −7.98561e6 | − | 515809.i | −0.868928 | − | 0.0561261i | ||||
\(611\) | 233963. | + | 405236.i | 0.0253539 | + | 0.0439142i | ||||
\(612\) | 3.88580e6 | + | 504089.i | 0.419374 | + | 0.0544037i | ||||
\(613\) | 1.08004e6 | + | 1.87068e6i | 0.116088 | + | 0.201071i | 0.918214 | − | 0.396084i | \(-0.129631\pi\) |
−0.802126 | + | 0.597155i | \(0.796298\pi\) | |||||||
\(614\) | −1.96697e6 | − | 3.97912e6i | −0.210560 | − | 0.425957i | ||||
\(615\) | 4.23906e6i | 0.451941i | ||||||||
\(616\) | −1.93038e6 | − | 378277.i | −0.204970 | − | 0.0401660i | ||||
\(617\) | 930657. | − | 1.61195e6i | 0.0984185 | − | 0.170466i | −0.812612 | − | 0.582806i | \(-0.801955\pi\) |
0.911030 | + | 0.412340i | \(0.135288\pi\) | |||||||
\(618\) | −2.09476e6 | − | 4.23764e6i | −0.220630 | − | 0.446326i | ||||
\(619\) | − | 6.22804e6i | − | 0.653318i | −0.945142 | − | 0.326659i | \(-0.894077\pi\) | ||
0.945142 | − | 0.326659i | \(-0.105923\pi\) | |||||||
\(620\) | 8.04096e6 | + | 1.93091e7i | 0.840096 | + | 2.01735i | ||||
\(621\) | −4.80589e6 | − | 2.77468e6i | −0.500086 | − | 0.288725i | ||||
\(622\) | −215438. | + | 3.33534e6i | −0.0223278 | + | 0.345672i | ||||
\(623\) | 4.24240e6 | − | 7.34805e6i | 0.437916 | − | 0.758493i | ||||
\(624\) | −306784. | + | 1.16253e6i | −0.0315407 | + | 0.119521i | ||||
\(625\) | −2.03525e7 | − | 3.52515e7i | −2.08409 | − | 3.60976i | ||||
\(626\) | −1.07393e6 | + | 1.61055e6i | −0.109532 | + | 0.164263i | ||||
\(627\) | −383742. | + | 62881.9i | −0.0389826 | + | 0.00638788i | ||||
\(628\) | 5.08284e6 | + | 1.22056e7i | 0.514290 | + | 1.23498i | ||||
\(629\) | −984106. | + | 568174.i | −0.0991780 | + | 0.0572604i | ||||
\(630\) | 1.60159e6 | − | 2.47954e7i | 0.160769 | − | 2.48897i | ||||
\(631\) | 3.43366e6 | + | 1.98242e6i | 0.343308 | + | 0.198209i | 0.661734 | − | 0.749739i | \(-0.269821\pi\) |
−0.318426 | + | 0.947948i | \(0.603154\pi\) | |||||||
\(632\) | −5.10621e6 | − | 1.49032e7i | −0.508518 | − | 1.48418i | ||||
\(633\) | −683605. | + | 1.18404e6i | −0.0678103 | + | 0.117451i | ||||
\(634\) | −7.66080e6 | − | 5.10829e6i | −0.756921 | − | 0.504722i | ||||
\(635\) | 2.25288e6 | 0.221719 | ||||||||
\(636\) | 331715. | − | 2.55705e6i | 0.0325179 | − | 0.250666i | ||||
\(637\) | −3.67491e6 | − | 2.12171e6i | −0.358838 | − | 0.207175i | ||||
\(638\) | −832397. | + | 1.24833e6i | −0.0809615 | + | 0.121416i | ||||
\(639\) | −8.91452e6 | −0.863666 | ||||||||
\(640\) | −1.46001e6 | − | 2.02204e7i | −0.140898 | − | 1.95137i | ||||
\(641\) | 2.02946e6 | − | 1.17171e6i | 0.195090 | − | 0.112636i | −0.399273 | − | 0.916832i | \(-0.630737\pi\) |
0.594363 | + | 0.804197i | \(0.297404\pi\) | |||||||
\(642\) | −232790. | − | 470926.i | −0.0222908 | − | 0.0450936i | ||||
\(643\) | 3.81707e6 | − | 2.20379e6i | 0.364085 | − | 0.210205i | −0.306786 | − | 0.951778i | \(-0.599254\pi\) |
0.670871 | + | 0.741574i | \(0.265920\pi\) | |||||||
\(644\) | 1.00939e7 | − | 1.32064e7i | 0.959060 | − | 1.25479i | ||||
\(645\) | − | 8.24054e6i | − | 0.779931i | ||||||
\(646\) | 469869. | + | 4.78322e6i | 0.0442992 | + | 0.450961i | ||||
\(647\) | − | 2.24473e6i | − | 0.210816i | −0.994429 | − | 0.105408i | \(-0.966385\pi\) | ||
0.994429 | − | 0.105408i | \(-0.0336149\pi\) | |||||||
\(648\) | 2.78632e6 | + | 8.13225e6i | 0.260671 | + | 0.760805i | ||||
\(649\) | −1.86770e6 | + | 1.07832e6i | −0.174059 | + | 0.100493i | ||||
\(650\) | 1.30647e7 | − | 6.45819e6i | 1.21288 | − | 0.599553i | ||||
\(651\) | −3.69134e6 | + | 2.13119e6i | −0.341375 | + | 0.197093i | ||||
\(652\) | 241484. | − | 1.86149e6i | 0.0222469 | − | 0.171491i | ||||
\(653\) | −5.15559e6 | −0.473146 | −0.236573 | − | 0.971614i | \(-0.576024\pi\) | ||||
−0.236573 | + | 0.971614i | \(0.576024\pi\) | |||||||
\(654\) | −1.54092e6 | − | 1.02750e6i | −0.140876 | − | 0.0939375i | ||||
\(655\) | 6.78957e6 | + | 3.91996e6i | 0.618356 | + | 0.357008i | ||||
\(656\) | 9.50966e6 | − | 2.58676e6i | 0.862791 | − | 0.234691i | ||||
\(657\) | 1.16002e7 | 1.04846 | ||||||||
\(658\) | 891993. | − | 1.33770e6i | 0.0803150 | − | 0.120447i | ||||
\(659\) | −9.66959e6 | + | 1.67482e7i | −0.867351 | + | 1.50230i | −0.00265631 | + | 0.999996i | \(0.500846\pi\) |
−0.864694 | + | 0.502299i | \(0.832488\pi\) | |||||||
\(660\) | 687148. | + | 525202.i | 0.0614031 | + | 0.0469317i | ||||
\(661\) | −5.15993e6 | − | 2.97909e6i | −0.459347 | − | 0.265204i | 0.252423 | − | 0.967617i | \(-0.418773\pi\) |
−0.711769 | + | 0.702413i | \(0.752106\pi\) | |||||||
\(662\) | −9.21531e6 | − | 595239.i | −0.817269 | − | 0.0527893i | ||||
\(663\) | −549036. | + | 316986.i | −0.0485084 | + | 0.0280064i | ||||
\(664\) | 1.14706e6 | − | 5.85354e6i | 0.100964 | − | 0.515227i | ||||
\(665\) | 3.00763e7 | − | 4.92844e6i | 2.63736 | − | 0.432171i | ||||
\(666\) | −2.24630e6 | − | 1.49785e6i | −0.196237 | − | 0.130853i | ||||
\(667\) | −6.33929e6 | − | 1.09800e7i | −0.551729 | − | 0.955623i | ||||
\(668\) | 1.15101e7 | − | 1.50593e7i | 0.998021 | − | 1.30576i | ||||
\(669\) | −302891. | + | 524623.i | −0.0261651 | + | 0.0453192i | ||||
\(670\) | 3.16888e6 | + | 204686.i | 0.272722 | + | 0.0176157i | ||||
\(671\) | −687343. | − | 396838.i | −0.0589342 | − | 0.0340257i | ||||
\(672\) | 4.04803e6 | − | 825151.i | 0.345797 | − | 0.0704872i | ||||
\(673\) | 7.93595e6i | 0.675400i | 0.941254 | + | 0.337700i | \(0.109649\pi\) | ||||
−0.941254 | + | 0.337700i | \(0.890351\pi\) | |||||||
\(674\) | 1.48313e7 | − | 7.33147e6i | 1.25756 | − | 0.621643i | ||||
\(675\) | −8.35908e6 | + | 1.44784e7i | −0.706154 | + | 1.22309i | ||||
\(676\) | −3.52191e6 | − | 8.45730e6i | −0.296423 | − | 0.711812i | ||||
\(677\) | 1.37549e6i | 0.115341i | 0.998336 | + | 0.0576707i | \(0.0183673\pi\) | ||||
−0.998336 | + | 0.0576707i | \(0.981633\pi\) | |||||||
\(678\) | 1.31150e6 | − | 648305.i | 0.109571 | − | 0.0541633i | ||||
\(679\) | 7.94586e6 | + | 1.37626e7i | 0.661404 | + | 1.14559i | ||||
\(680\) | 7.02535e6 | − | 8.05694e6i | 0.582634 | − | 0.668187i | ||||
\(681\) | 2.63015e6 | + | 4.55555e6i | 0.217327 | + | 0.376421i | ||||
\(682\) | −133720. | + | 2.07021e6i | −0.0110087 | + | 0.170433i | ||||
\(683\) | −1.35393e7 | −1.11057 | −0.555285 | − | 0.831660i | \(-0.687391\pi\) | ||||
−0.555285 | + | 0.831660i | \(0.687391\pi\) | |||||||
\(684\) | −9.69316e6 | + | 6.03688e6i | −0.792182 | + | 0.493370i | ||||
\(685\) | 3.59133e7 | 2.92435 | ||||||||
\(686\) | 145439. | − | 2.25165e6i | 0.0117997 | − | 0.182679i | ||||
\(687\) | −756674. | − | 1.31060e6i | −0.0611669 | − | 0.105944i | ||||
\(688\) | −1.84864e7 | + | 5.02854e6i | −1.48895 | + | 0.405015i | ||||
\(689\) | −2.91666e6 | − | 5.05181e6i | −0.234066 | − | 0.405414i | ||||
\(690\) | −6.55155e6 | + | 3.23859e6i | −0.523868 | + | 0.258960i | ||||
\(691\) | − | 2.13347e7i | − | 1.69977i | −0.526966 | − | 0.849887i | \(-0.676670\pi\) | ||
0.526966 | − | 0.849887i | \(-0.323330\pi\) | |||||||
\(692\) | −1.34034e6 | + | 558164.i | −0.106402 | + | 0.0443095i | ||||
\(693\) | 1.23219e6 | − | 2.13421e6i | 0.0974638 | − | 0.168812i | ||||
\(694\) | 1.60188e7 | − | 7.91848e6i | 1.26250 | − | 0.624084i | ||||
\(695\) | 3.64296e7i | 2.86083i | ||||||||
\(696\) | 605973. | − | 3.09233e6i | 0.0474166 | − | 0.241970i | ||||
\(697\) | 4.50032e6 | + | 2.59826e6i | 0.350882 | + | 0.202582i | ||||
\(698\) | 5.76761e6 | + | 372544.i | 0.448082 | + | 0.0289427i | ||||
\(699\) | 638864. | − | 1.10655e6i | 0.0494556 | − | 0.0856597i | ||||
\(700\) | −3.97859e7 | − | 3.04093e7i | −3.06891 | − | 2.34564i | ||||
\(701\) | 7.00091e6 | + | 1.21259e7i | 0.538096 | + | 0.932010i | 0.999007 | + | 0.0445630i | \(0.0141895\pi\) |
−0.460911 | + | 0.887447i | \(0.652477\pi\) | |||||||
\(702\) | −2.59606e6 | − | 1.73108e6i | −0.198826 | − | 0.132579i | ||||
\(703\) | 1.17027e6 | − | 3.09801e6i | 0.0893093 | − | 0.236426i | ||||
\(704\) | 758897. | − | 1.86200e6i | 0.0577100 | − | 0.141595i | ||||
\(705\) | −612207. | + | 353458.i | −0.0463901 | + | 0.0267833i | ||||
\(706\) | 2.17185e6 | + | 140285.i | 0.163991 | + | 0.0105925i | ||||
\(707\) | −5.19117e6 | − | 2.99712e6i | −0.390586 | − | 0.225505i | ||||
\(708\) | 2.75049e6 | − | 3.59860e6i | 0.206218 | − | 0.269806i | ||||
\(709\) | 7.01897e6 | − | 1.21572e7i | 0.524394 | − | 0.908277i | −0.475203 | − | 0.879876i | \(-0.657625\pi\) |
0.999597 | − | 0.0284008i | \(-0.00904146\pi\) | |||||||
\(710\) | −1.34922e7 | + | 2.02340e7i | −1.00447 | + | 1.50638i | ||||
\(711\) | 1.97362e7 | 1.46416 | ||||||||
\(712\) | 6.53689e6 | + | 5.69992e6i | 0.483249 | + | 0.421375i | ||||
\(713\) | −1.51814e7 | − | 8.76499e6i | −1.11838 | − | 0.645695i | ||||
\(714\) | 1.81239e6 | + | 1.20852e6i | 0.133048 | + | 0.0887174i | ||||
\(715\) | 1.95662e6 | 0.143134 | ||||||||
\(716\) | 1.09600e7 | + | 1.42180e6i | 0.798965 | + | 0.103646i | ||||
\(717\) | −2.34719e6 | + | 1.35515e6i | −0.170510 | + | 0.0984441i | ||||
\(718\) | −5.52044e6 | + | 2.72888e6i | −0.399634 | + | 0.197549i | ||||
\(719\) | 1.11491e7 | − | 6.43693e6i | 0.804299 | − | 0.464362i | −0.0406733 | − | 0.999172i | \(-0.512950\pi\) |
0.844972 | + | 0.534810i | \(0.179617\pi\) | |||||||
\(720\) | 2.45574e7 | + | 6.48052e6i | 1.76543 | + | 0.465885i | ||||
\(721\) | 3.67461e7i | 2.63253i | ||||||||
\(722\) | −9.88993e6 | − | 9.91884e6i | −0.706074 | − | 0.708138i | ||||
\(723\) | − | 4.67375e6i | − | 0.332522i | ||||||
\(724\) | −1.62405e7 | − | 1.24130e7i | −1.15147 | − | 0.880096i | ||||
\(725\) | −3.30786e7 | + | 1.90979e7i | −2.33723 | + | 1.34940i | ||||
\(726\) | −1.58786e6 | − | 3.21219e6i | −0.111808 | − | 0.226183i | ||||
\(727\) | −1.92785e7 | + | 1.11305e7i | −1.35281 | + | 0.781046i | −0.988642 | − | 0.150287i | \(-0.951980\pi\) |
−0.364169 | + | 0.931333i | \(0.618647\pi\) | |||||||
\(728\) | 6.14243e6 | − | 7.04438e6i | 0.429548 | − | 0.492622i | ||||
\(729\) | −8.91801e6 | −0.621512 | ||||||||
\(730\) | 1.75570e7 | − | 2.63299e7i | 1.21939 | − | 1.82870i | ||||
\(731\) | −8.74842e6 | − | 5.05090e6i | −0.605530 | − | 0.349603i | ||||
\(732\) | 1.65302e6 | + | 214440.i | 0.114025 | + | 0.0147920i | ||||
\(733\) | −2.32106e7 | −1.59561 | −0.797804 | − | 0.602917i | \(-0.794005\pi\) | ||||
−0.797804 | + | 0.602917i | \(0.794005\pi\) | |||||||
\(734\) | 1.41630e7 | + | 9.44401e6i | 0.970319 | + | 0.647018i | ||||
\(735\) | 3.20536e6 | − | 5.55184e6i | 0.218856 | − | 0.379069i | ||||
\(736\) | 1.12632e7 | + | 1.27211e7i | 0.766417 | + | 0.865628i | ||||
\(737\) | 272754. | + | 157475.i | 0.0184971 | + | 0.0106793i | ||||
\(738\) | −795838. | + | 1.23209e7i | −0.0537878 | + | 0.832727i | ||||
\(739\) | −1.66903e7 | + | 9.63613e6i | −1.12422 | + | 0.649070i | −0.942475 | − | 0.334275i | \(-0.891508\pi\) |
−0.181747 | + | 0.983345i | \(0.558175\pi\) | |||||||
\(740\) | −6.79958e6 | + | 2.83158e6i | −0.456460 | + | 0.190086i | ||||
\(741\) | 652897. | − | 1.72839e6i | 0.0436816 | − | 0.115637i | ||||
\(742\) | −1.11199e7 | + | 1.66762e7i | −0.741464 | + | 1.11196i | ||||
\(743\) | −8.35960e6 | − | 1.44792e7i | −0.555538 | − | 0.962219i | −0.997861 | − | 0.0653639i | \(-0.979179\pi\) |
0.442324 | − | 0.896855i | \(-0.354154\pi\) | |||||||
\(744\) | −1.41220e6 | − | 4.12169e6i | −0.0935327 | − | 0.272988i | ||||
\(745\) | 216626. | − | 375208.i | 0.0142995 | − | 0.0247675i | ||||
\(746\) | −536941. | + | 8.31276e6i | −0.0353248 | + | 0.546888i | ||||
\(747\) | 6.47163e6 | + | 3.73640e6i | 0.424338 | + | 0.244992i | ||||
\(748\) | 978746. | − | 407584.i | 0.0639611 | − | 0.0266356i | ||||
\(749\) | 4.08356e6i | 0.265971i | ||||||||
\(750\) | 6.30627e6 | + | 1.27574e7i | 0.409373 | + | 0.828148i | ||||
\(751\) | 1.00966e7 | − | 1.74878e7i | 0.653242 | − | 1.13145i | −0.329090 | − | 0.944299i | \(-0.606742\pi\) |
0.982332 | − | 0.187149i | \(-0.0599248\pi\) | |||||||
\(752\) | 1.16651e6 | + | 1.15770e6i | 0.0752217 | + | 0.0746539i | ||||
\(753\) | − | 234564.i | − | 0.0150756i | ||||||
\(754\) | −3.15908e6 | − | 6.39071e6i | −0.202363 | − | 0.409375i | ||||
\(755\) | −1.50499e7 | − | 2.60671e7i | −0.960871 | − | 1.66428i | ||||
\(756\) | −1.37930e6 | + | 1.06324e7i | −0.0877715 | + | 0.676592i | ||||
\(757\) | 6.17824e6 | + | 1.07010e7i | 0.391855 | + | 0.678713i | 0.992694 | − | 0.120657i | \(-0.0385002\pi\) |
−0.600839 | + | 0.799370i | \(0.705167\pi\) | |||||||
\(758\) | 1.39446e7 | + | 900713.i | 0.881520 | + | 0.0569395i | ||||
\(759\) | −724848. | −0.0456712 | ||||||||
\(760\) | −968301. | + | 3.11382e7i | −0.0608102 | + | 1.95551i | ||||
\(761\) | 9.76295e6 | 0.611110 | 0.305555 | − | 0.952174i | \(-0.401158\pi\) | ||||
0.305555 | + | 0.952174i | \(0.401158\pi\) | |||||||
\(762\) | −468300. | − | 30248.6i | −0.0292171 | − | 0.00188720i | ||||
\(763\) | 7.19856e6 | + | 1.24683e7i | 0.447645 | + | 0.775344i | ||||
\(764\) | −2.35407e6 | + | 1.81465e7i | −0.145910 | + | 1.12476i | ||||
\(765\) | 6.69604e6 | + | 1.15979e7i | 0.413680 | + | 0.716514i | ||||
\(766\) | 8.67008e6 | + | 1.75393e7i | 0.533889 | + | 1.08004i | ||||
\(767\) | − | 1.02469e7i | − | 0.628931i | ||||||
\(768\) | 31995.7 | + | 4.22277e6i | 0.00195744 | + | 0.258342i | ||||
\(769\) | 9.21316e6 | − | 1.59577e7i | 0.561814 | − | 0.973091i | −0.435524 | − | 0.900177i | \(-0.643437\pi\) |
0.997338 | − | 0.0729135i | \(-0.0232297\pi\) | |||||||
\(770\) | −2.97925e6 | − | 6.02693e6i | −0.181084 | − | 0.366327i | ||||
\(771\) | 1.02522e6i | 0.0621129i | ||||||||
\(772\) | −2.03009e7 | + | 8.45401e6i | −1.22595 | + | 0.510528i | ||||
\(773\) | −7.40351e6 | − | 4.27442e6i | −0.445645 | − | 0.257293i | 0.260344 | − | 0.965516i | \(-0.416164\pi\) |
−0.705989 | + | 0.708223i | \(0.749497\pi\) | |||||||
\(774\) | 1.54707e6 | − | 2.39513e7i | 0.0928236 | − | 1.43707i | ||||
\(775\) | −2.64057e7 | + | 4.57359e7i | −1.57922 | + | 2.73529i | ||||
\(776\) | −1.53672e7 | + | 5.26519e6i | −0.916092 | + | 0.313877i | ||||
\(777\) | −750488. | − | 1.29988e6i | −0.0445955 | − | 0.0772417i | ||||
\(778\) | 4.88275e6 | − | 7.32255e6i | 0.289211 | − | 0.433724i | ||||
\(779\) | −1.49450e7 | + | 2.44896e6i | −0.882373 | + | 0.144590i | ||||
\(780\) | −3.79351e6 | + | 1.57975e6i | −0.223257 | + | 0.0929718i | ||||
\(781\) | −2.08892e6 | + | 1.20604e6i | −0.122545 | + | 0.0707511i | ||||
\(782\) | −577480. | + | 8.94037e6i | −0.0337691 | + | 0.522804i | ||||
\(783\) | 7.08221e6 | + | 4.08892e6i | 0.412824 | + | 0.238344i | ||||
\(784\) | −1.44107e7 | − | 3.80287e6i | −0.837325 | − | 0.220964i | ||||
\(785\) | −2.25944e7 | + | 3.91346e7i | −1.30866 | + | 2.26666i | ||||
\(786\) | −1.35870e6 | − | 905994.i | −0.0784453 | − | 0.0523081i | ||||
\(787\) | −2.21755e7 | −1.27625 | −0.638126 | − | 0.769932i | \(-0.720290\pi\) | ||||
−0.638126 | + | 0.769932i | \(0.720290\pi\) | |||||||
\(788\) | 2.64515e7 | + | 3.43144e6i | 1.51752 | + | 0.196862i | ||||
\(789\) | 5.94075e6 | + | 3.42989e6i | 0.339742 | + | 0.196150i | ||||
\(790\) | 2.98709e7 | − | 4.47967e7i | 1.70287 | − | 2.55375i | ||||
\(791\) | −1.13725e7 | −0.646270 | ||||||||
\(792\) | 1.89861e6 | + | 1.65552e6i | 0.107553 | + | 0.0937823i | ||||
\(793\) | 3.26579e6 | − | 1.88550e6i | 0.184419 | − | 0.106474i | ||||
\(794\) | −4.80561e6 | − | 9.72159e6i | −0.270519 | − | 0.547250i | ||||
\(795\) | 7.63198e6 | − | 4.40632e6i | 0.428271 | − | 0.247263i | ||||
\(796\) | 1.24910e7 | + | 9.54717e6i | 0.698740 | + | 0.534062i | ||||
\(797\) | − | 1.80645e7i | − | 1.00735i | −0.863894 | − | 0.503674i | \(-0.831981\pi\) | ||
0.863894 | − | 0.503674i | \(-0.168019\pi\) | |||||||
\(798\) | −6.31805e6 | + | 620640.i | −0.351217 | + | 0.0345010i | ||||
\(799\) | 866584.i | 0.0480224i | ||||||||
\(800\) | 3.83240e7 | − | 3.39317e7i | 2.11712 | − | 1.87448i | ||||
\(801\) | −9.40977e6 | + | 5.43274e6i | −0.518201 | + | 0.299183i | ||||
\(802\) | −1.01728e7 | + | 5.02866e6i | −0.558477 | + | 0.276068i | ||||
\(803\) | 2.71825e6 | − | 1.56938e6i | 0.148765 | − | 0.0858894i | ||||
\(804\) | −655960. | − | 85095.1i | −0.0357880 | − | 0.00464263i | ||||
\(805\) | 5.68109e7 | 3.08988 | ||||||||
\(806\) | −8.20074e6 | − | 5.46833e6i | −0.444647 | − | 0.296495i | ||||
\(807\) | −1.29925e6 | − | 750120.i | −0.0702276 | − | 0.0405459i | ||||
\(808\) | 4.02681e6 | − | 4.61811e6i | 0.216987 | − | 0.248849i | ||||
\(809\) | −2.67213e7 | −1.43544 | −0.717721 | − | 0.696331i | \(-0.754815\pi\) | ||||
−0.717721 | + | 0.696331i | \(0.754815\pi\) | |||||||
\(810\) | −1.62997e7 | + | 2.44444e7i | −0.872907 | + | 1.30908i | ||||
\(811\) | 1.18737e7 | − | 2.05658e7i | 0.633918 | − | 1.09798i | −0.352825 | − | 0.935689i | \(-0.614779\pi\) |
0.986743 | − | 0.162290i | \(-0.0518879\pi\) | |||||||
\(812\) | −1.48749e7 | + | 1.94616e7i | −0.791709 | + | 1.03583i | ||||
\(813\) | 1.25749e6 | + | 726012.i | 0.0667233 | + | 0.0385227i | ||||
\(814\) | −729012. | − | 47088.6i | −0.0385633 | − | 0.00249089i | ||||
\(815\) | 5.55597e6 | − | 3.20774e6i | 0.292999 | − | 0.169163i | ||||
\(816\) | −1.56852e6 | + | 1.58045e6i | −0.0824641 | + | 0.0830913i | ||||
\(817\) | 2.90524e7 | − | 4.76067e6i | 1.52274 | − | 0.249524i | ||||
\(818\) | −3.09493e7 | − | 2.06373e7i | −1.61722 | − | 1.07838i | ||||
\(819\) | 5.85451e6 | + | 1.01403e7i | 0.304986 | + | 0.528252i | ||||
\(820\) | 2.67612e7 | + | 2.04542e7i | 1.38986 | + | 1.06230i | ||||
\(821\) | 4.68020e6 | − | 8.10634e6i | 0.242330 | − | 0.419727i | −0.719048 | − | 0.694961i | \(-0.755422\pi\) |
0.961377 | + | 0.275233i | \(0.0887551\pi\) | |||||||
\(822\) | −7.46522e6 | − | 482196.i | −0.385357 | − | 0.0248911i | ||||
\(823\) | 3.96039e6 | + | 2.28653e6i | 0.203816 | + | 0.117673i | 0.598434 | − | 0.801172i | \(-0.295790\pi\) |
−0.394618 | + | 0.918845i | \(0.629123\pi\) | |||||||
\(824\) | −3.68599e7 | − | 7.22307e6i | −1.89119 | − | 0.370599i | ||||
\(825\) | 2.18370e6i | 0.111701i | ||||||||
\(826\) | −3.15631e7 | + | 1.56024e7i | −1.60964 | + | 0.795685i | ||||
\(827\) | −7.49273e6 | + | 1.29778e7i | −0.380957 | + | 0.659838i | −0.991199 | − | 0.132377i | \(-0.957739\pi\) |
0.610242 | + | 0.792215i | \(0.291072\pi\) | |||||||
\(828\) | −1.96503e7 | + | 8.18305e6i | −0.996076 | + | 0.414800i | ||||
\(829\) | 5.06167e6i | 0.255804i | 0.991787 | + | 0.127902i | \(0.0408243\pi\) | ||||
−0.991787 | + | 0.127902i | \(0.959176\pi\) | |||||||
\(830\) | 1.82757e7 | − | 9.03408e6i | 0.920826 | − | 0.455186i | ||||
\(831\) | 2.32004e6 | + | 4.01842e6i | 0.116545 | + | 0.201861i | ||||
\(832\) | 5.85879e6 | + | 7.54615e6i | 0.293427 | + | 0.377935i | ||||
\(833\) | −3.92934e6 | − | 6.80582e6i | −0.196204 | − | 0.339835i | ||||
\(834\) | 489128. | − | 7.57254e6i | 0.0243505 | − | 0.376987i | ||||
\(835\) | 6.47816e7 | 3.21540 | ||||||||
\(836\) | −1.45465e6 | + | 2.72599e6i | −0.0719851 | + | 0.134899i | ||||
\(837\) | 1.13070e7 | 0.557873 | ||||||||
\(838\) | 2.11102e6 | − | 3.26823e7i | 0.103844 | − | 1.60769i | ||||
\(839\) | 1.30260e7 | + | 2.25616e7i | 0.638859 | + | 1.10654i | 0.985683 | + | 0.168607i | \(0.0539268\pi\) |
−0.346824 | + | 0.937930i | \(0.612740\pi\) | |||||||
\(840\) | 1.06422e7 | + | 9.27963e6i | 0.520397 | + | 0.453766i | ||||
\(841\) | −913661. | − | 1.58251e6i | −0.0445446 | − | 0.0771535i | ||||
\(842\) | 2.49916e7 | − | 1.23539e7i | 1.21483 | − | 0.600517i | ||||
\(843\) | − | 7.47664e6i | − | 0.362358i | ||||||
\(844\) | 4.17634e6 | + | 1.00288e7i | 0.201809 | + | 0.484611i | ||||
\(845\) | 1.56557e7 | − | 2.71164e7i | 0.754276 | − | 1.30644i | ||||
\(846\) | −1.84575e6 | + | 912399.i | −0.0886641 | + | 0.0438287i | ||||
\(847\) | 2.78541e7i | 1.33408i | ||||||||
\(848\) | −1.45421e7 | − | 1.44323e7i | −0.694444 | − | 0.689202i | ||||
\(849\) | −3.59919e6 | − | 2.07800e6i | −0.171371 | − | 0.0989408i | ||||
\(850\) | 2.69340e7 | + | 1.73973e6i | 1.27866 | + | 0.0825914i | ||||
\(851\) | 3.08654e6 | − | 5.34605e6i | 0.146099 | − | 0.253051i | ||||
\(852\) | 3.07627e6 | − | 4.02483e6i | 0.145186 | − | 0.189954i | ||||
\(853\) | −1.77268e7 | − | 3.07038e7i | −0.834178 | − | 1.44484i | −0.894698 | − | 0.446671i | \(-0.852609\pi\) |
0.0605207 | − | 0.998167i | \(-0.480724\pi\) | |||||||
\(854\) | −1.07805e7 | − | 7.18854e6i | −0.505818 | − | 0.337284i | ||||
\(855\) | −3.65107e7 | − | 1.37918e7i | −1.70807 | − | 0.645218i | ||||
\(856\) | −4.09621e6 | − | 802695.i | −0.191072 | − | 0.0374426i | ||||
\(857\) | −2.63286e7 | + | 1.52008e7i | −1.22455 | + | 0.706993i | −0.965884 | − | 0.258975i | \(-0.916615\pi\) |
−0.258663 | + | 0.965968i | \(0.583282\pi\) | |||||||
\(858\) | −406719. | − | 26270.9i | −0.0188615 | − | 0.00121831i | ||||
\(859\) | 1.69942e7 | + | 9.81163e6i | 0.785812 | + | 0.453689i | 0.838486 | − | 0.544923i | \(-0.183441\pi\) |
−0.0526738 | + | 0.998612i | \(0.516774\pi\) | |||||||
\(860\) | −5.20226e7 | − | 3.97620e7i | −2.39854 | − | 1.83325i | ||||
\(861\) | −3.43198e6 | + | 5.94437e6i | −0.157775 | + | 0.273274i | ||||
\(862\) | 3.87063e6 | − | 5.80470e6i | 0.177424 | − | 0.266080i | ||||
\(863\) | −3.16833e6 | −0.144812 | −0.0724059 | − | 0.997375i | \(-0.523068\pi\) | ||||
−0.0724059 | + | 0.997375i | \(0.523068\pi\) | |||||||
\(864\) | −1.03942e7 | − | 3.47355e6i | −0.473704 | − | 0.158303i | ||||
\(865\) | −4.29750e6 | − | 2.48117e6i | −0.195288 | − | 0.112750i | ||||
\(866\) | 1.81873e7 | + | 1.21275e7i | 0.824088 | + | 0.549510i | ||||
\(867\) | 4.54404e6 | 0.205303 | ||||||||
\(868\) | −4.35709e6 | + | 3.35869e7i | −0.196289 | + | 1.51311i | ||||
\(869\) | 4.62473e6 | − | 2.67009e6i | 0.207748 | − | 0.119943i | ||||
\(870\) | 9.65471e6 | − | 4.77255e6i | 0.432455 | − | 0.213773i | ||||
\(871\) | −1.29594e6 | + | 748213.i | −0.0578816 | + | 0.0334180i | ||||
\(872\) | −1.39219e7 | + | 4.77000e6i | −0.620021 | + | 0.212435i | ||||
\(873\) | − | 2.03507e7i | − | 0.903739i | ||||||
\(874\) | −1.52027e7 | − | 2.12268e7i | −0.673197 | − | 0.939954i | ||||
\(875\) | − | 1.10624e8i | − | 4.88459i | ||||||
\(876\) | −4.00305e6 | + | 5.23739e6i | −0.176251 | + | 0.230598i | ||||
\(877\) | −2.54127e7 | + | 1.46721e7i | −1.11571 | + | 0.644157i | −0.940303 | − | 0.340338i | \(-0.889458\pi\) |
−0.175410 | + | 0.984495i | \(0.556125\pi\) | |||||||
\(878\) | 9.26444e6 | + | 1.87417e7i | 0.405586 | + | 0.820487i | ||||
\(879\) | −2.00031e6 | + | 1.15488e6i | −0.0873224 | + | 0.0504156i | ||||
\(880\) | 6.63122e6 | − | 1.80378e6i | 0.288660 | − | 0.0785195i | ||||
\(881\) | −1.98402e7 | −0.861206 | −0.430603 | − | 0.902541i | \(-0.641699\pi\) | ||||
−0.430603 | + | 0.902541i | \(0.641699\pi\) | |||||||
\(882\) | 1.03588e7 | − | 1.55348e7i | 0.448369 | − | 0.672410i | ||||
\(883\) | −1.22889e7 | − | 7.09503e6i | −0.530411 | − | 0.306233i | 0.210773 | − | 0.977535i | \(-0.432402\pi\) |
−0.741184 | + | 0.671302i | \(0.765735\pi\) | |||||||
\(884\) | −648057. | + | 4.99559e6i | −0.0278922 | + | 0.215009i | ||||
\(885\) | 1.54804e7 | 0.664390 | ||||||||
\(886\) | 2.60569e6 | + | 1.73750e6i | 0.111516 | + | 0.0743602i | ||||
\(887\) | −3.89916e6 | + | 6.75355e6i | −0.166404 | + | 0.288219i | −0.937153 | − | 0.348919i | \(-0.886549\pi\) |
0.770749 | + | 0.637139i | \(0.219882\pi\) | |||||||
\(888\) | 1.45143e6 | − | 497298.i | 0.0617680 | − | 0.0211633i | ||||
\(889\) | 3.15917e6 | + | 1.82395e6i | 0.134066 | + | 0.0774031i | ||||
\(890\) | −1.91068e6 | + | 2.95806e7i | −0.0808560 | + | 1.25179i | ||||
\(891\) | −2.52359e6 | + | 1.45700e6i | −0.106494 | + | 0.0614843i | ||||
\(892\) | 1.85045e6 | + | 4.44356e6i | 0.0778691 | + | 0.186990i | ||||
\(893\) | −1.59981e6 | − | 1.95417e6i | −0.0671336 | − | 0.0820036i | ||||
\(894\) | −50067.4 | + | 75085.0i | −0.00209513 | + | 0.00314202i | ||||
\(895\) | 1.88864e7 | + | 3.27121e7i | 0.788117 | + | 1.36506i | ||||
\(896\) | 1.43233e7 | − | 2.95368e7i | 0.596036 | − | 1.22912i | ||||
\(897\) | 1.72199e6 | − | 2.98258e6i | 0.0714579 | − | 0.123769i | ||||
\(898\) | −2.40032e6 | + | 3.71611e7i | −0.0993295 | + | 1.53779i | ||||
\(899\) | 2.23721e7 | + | 1.29166e7i | 0.923226 | + | 0.533025i | ||||
\(900\) | 2.46525e7 | + | 5.91989e7i | 1.01451 | + | 2.43617i | ||||
\(901\) | − | 1.08031e7i | − | 0.443341i | ||||||
\(902\) | 1.48040e6 | + | 2.99480e6i | 0.0605847 | + | 0.122561i | ||||
\(903\) | 6.67162e6 | − | 1.15556e7i | 0.272278 | − | 0.471599i | ||||
\(904\) | 2.23546e6 | − | 1.14077e7i | 0.0909799 | − | 0.464277i | ||||
\(905\) | − | 6.98631e7i | − | 2.83548i | ||||||
\(906\) | 2.77839e6 | + | 5.62058e6i | 0.112453 | + | 0.227489i | ||||
\(907\) | −2.02692e6 | − | 3.51073e6i | −0.0818123 | − | 0.141703i | 0.822216 | − | 0.569175i | \(-0.192737\pi\) |
−0.904028 | + | 0.427472i | \(0.859404\pi\) | |||||||
\(908\) | 4.14502e7 | + | 5.37717e6i | 1.66845 | + | 0.216441i | ||||
\(909\) | 3.83806e6 | + | 6.64771e6i | 0.154064 | + | 0.266847i | ||||
\(910\) | 3.18771e7 | + | 2.05901e6i | 1.27607 | + | 0.0824244i | ||||
\(911\) | 1.57962e7 | 0.630603 | 0.315301 | − | 0.948992i | \(-0.397894\pi\) | ||||
0.315301 | + | 0.948992i | \(0.397894\pi\) | |||||||
\(912\) | 619360. | − | 6.45961e6i | 0.0246579 | − | 0.257170i | ||||
\(913\) | 2.02198e6 | 0.0802784 | ||||||||
\(914\) | 1.20560e7 | + | 778722.i | 0.477349 | + | 0.0308331i | ||||
\(915\) | 2.84851e6 | + | 4.93376e6i | 0.112477 | + | 0.194816i | ||||
\(916\) | −1.19249e7 | − | 1.54697e6i | −0.469587 | − | 0.0609176i | ||||
\(917\) | 6.34727e6 | + | 1.09938e7i | 0.249266 | + | 0.431742i | ||||
\(918\) | −2.56074e6 | − | 5.18030e6i | −0.100290 | − | 0.202884i | ||||
\(919\) | − | 1.25713e7i | − | 0.491012i | −0.969395 | − | 0.245506i | \(-0.921046\pi\) | ||
0.969395 | − | 0.245506i | \(-0.0789542\pi\) | |||||||
\(920\) | −1.11671e7 | + | 5.69868e7i | −0.434983 | + | 2.21975i | ||||
\(921\) | −1.58002e6 | + | 2.73668e6i | −0.0613783 | + | 0.106310i | ||||
\(922\) | 10067.8 | + | 20366.8i | 0.000390038 | + | 0.000789034i | ||||
\(923\) | − | 1.14605e7i | − | 0.442793i | ||||||
\(924\) | 538368. | + | 1.29280e6i | 0.0207443 | + | 0.0498142i | ||||
\(925\) | −1.61056e7 | − | 9.29860e6i | −0.618905 | − | 0.357325i | ||||
\(926\) | −1.10789e6 | + | 1.71521e7i | −0.0424590 | + | 0.657338i | ||||
\(927\) | 2.35282e7 | − | 4.07520e7i | 0.899268 | − | 1.55758i | ||||
\(928\) | −1.65980e7 | − | 1.87465e7i | −0.632681 | − | 0.714580i | ||||
\(929\) | 6.00665e6 | + | 1.04038e7i | 0.228346 | + | 0.395507i | 0.957318 | − | 0.289037i | \(-0.0933350\pi\) |
−0.728972 | + | 0.684543i | \(0.760002\pi\) | |||||||
\(930\) | 8.26124e6 | − | 1.23892e7i | 0.313212 | − | 0.469717i | ||||
\(931\) | 2.14251e7 | + | 8.09326e6i | 0.810117 | + | 0.306020i | ||||
\(932\) | −3.90301e6 | − | 9.37244e6i | −0.147184 | − | 0.353438i | ||||
\(933\) | 2.06068e6 | − | 1.18973e6i | 0.0775008 | − | 0.0447451i | ||||
\(934\) | −614056. | + | 9.50664e6i | −0.0230325 | + | 0.356582i | ||||
\(935\) | 3.13813e6 | + | 1.81180e6i | 0.117393 | + | 0.0677769i | ||||
\(936\) | −1.13225e7 | + | 3.87939e6i | −0.422428 | + | 0.144735i | ||||
\(937\) | −324149. | + | 561442.i | −0.0120613 | + | 0.0208908i | −0.871993 | − | 0.489518i | \(-0.837173\pi\) |
0.859932 | + | 0.510409i | \(0.170506\pi\) | |||||||
\(938\) | 4.27797e6 | + | 2.85259e6i | 0.158756 | + | 0.105860i | ||||
\(939\) | 1.37813e6 | 0.0510064 | ||||||||
\(940\) | −722621. | + | 5.57037e6i | −0.0266742 | + | 0.205619i | ||||
\(941\) | −1.47141e7 | − | 8.49518e6i | −0.541700 | − | 0.312751i | 0.204067 | − | 0.978957i | \(-0.434584\pi\) |
−0.745768 | + | 0.666206i | \(0.767917\pi\) | |||||||
\(942\) | 5.22209e6 | − | 7.83145e6i | 0.191742 | − | 0.287551i | ||||
\(943\) | −2.82295e7 | −1.03377 | ||||||||
\(944\) | −9.44644e6 | − | 3.47278e7i | −0.345015 | − | 1.26837i | ||||
\(945\) | −3.17344e7 | + | 1.83218e7i | −1.15598 | + | 0.667405i | ||||
\(946\) | −2.87783e6 | − | 5.82176e6i | −0.104553 | − | 0.211508i | ||||
\(947\) | 2.79671e7 | − | 1.61468e7i | 1.01338 | − | 0.585074i | 0.101200 | − | 0.994866i | \(-0.467732\pi\) |
0.912179 | + | 0.409792i | \(0.134399\pi\) | |||||||
\(948\) | −6.81066e6 | + | 8.91072e6i | −0.246132 | + | 0.322027i | ||||
\(949\) | 1.49133e7i | 0.537535i | ||||||||
\(950\) | −6.39485e7 | + | 4.58001e7i | −2.29891 | + | 1.64648i | ||||
\(951\) | 6.55523e6i | 0.235037i | ||||||||
\(952\) | 1.63745e7 | − | 5.61034e6i | 0.585567 | − | 0.200630i | ||||
\(953\) | 3.91360e7 | − | 2.25952e7i | 1.39587 | − | 0.805905i | 0.401911 | − | 0.915679i | \(-0.368346\pi\) |
0.993957 | + | 0.109774i | \(0.0350127\pi\) | |||||||
\(954\) | 2.30098e7 | − | 1.13743e7i | 0.818543 | − | 0.404625i | ||||
\(955\) | −5.41615e7 | + | 3.12702e7i | −1.92169 | + | 1.10949i | ||||
\(956\) | −2.77052e6 | + | 2.13567e7i | −0.0980428 | + | 0.755769i | ||||
\(957\) | 1.06817e6 | 0.0377018 | ||||||||
\(958\) | −1.58269e7 | − | 1.05535e7i | −0.557162 | − | 0.371521i | ||||
\(959\) | 5.03608e7 | + | 2.90758e7i | 1.76826 | + | 1.02090i | ||||
\(960\) | −1.14003e7 | + | 8.85112e6i | −0.399243 | + | 0.309970i | ||||
\(961\) | 7.08886e6 | 0.247610 | ||||||||
\(962\) | 1.92564e6 | − | 2.88784e6i | 0.0670869 | − | 0.100609i | ||||
\(963\) | 2.61467e6 | − | 4.52874e6i | 0.0908555 | − | 0.157366i | ||||
\(964\) | −2.95055e7 | − | 2.25517e7i | −1.02261 | − | 0.781603i | ||||
\(965\) | −6.50904e7 | − | 3.75800e7i | −2.25008 | − | 1.29909i | ||||
\(966\) | −1.18091e7 | − | 762780.i | −0.407170 | − | 0.0263000i | ||||
\(967\) | 1.29473e7 | − | 7.47511e6i | 0.445258 | − | 0.257070i | −0.260567 | − | 0.965456i | \(-0.583910\pi\) |
0.705825 | + | 0.708386i | \(0.250576\pi\) | |||||||
\(968\) | −2.79403e7 | − | 5.47520e6i | −0.958392 | − | 0.187807i | ||||
\(969\) | 2.64761e6 | − | 2.16751e6i | 0.0905826 | − | 0.0741570i | ||||
\(970\) | −4.61914e7 | − | 3.08009e7i | −1.57628 | − | 1.05108i | ||||
\(971\) | 1.61857e6 | + | 2.80345e6i | 0.0550915 | + | 0.0954213i | 0.892256 | − | 0.451530i | \(-0.149122\pi\) |
−0.837164 | + | 0.546951i | \(0.815788\pi\) | |||||||
\(972\) | 1.26502e7 | − | 1.65508e7i | 0.429467 | − | 0.561893i | ||||
\(973\) | −2.94938e7 | + | 5.10847e7i | −0.998731 | + | 1.72985i | ||||
\(974\) | 3.86042e7 | + | 2.49354e6i | 1.30388 | + | 0.0842207i | ||||
\(975\) | −8.98540e6 | − | 5.18772e6i | −0.302709 | − | 0.174769i | ||||
\(976\) | 9.32989e6 | − | 9.40085e6i | 0.313511 | − | 0.315895i | ||||
\(977\) | − | 4.57877e7i | − | 1.53466i | −0.641253 | − | 0.767330i | \(-0.721585\pi\) | ||
0.641253 | − | 0.767330i | \(-0.278415\pi\) | |||||||
\(978\) | −1.19798e6 | + | 592187.i | −0.0400498 | + | 0.0197976i | ||||
\(979\) | −1.46998e6 | + | 2.54608e6i | −0.0490179 | + | 0.0849014i | ||||
\(980\) | −1.95825e7 | − | 4.70241e7i | −0.651331 | − | 1.56407i | ||||
\(981\) | − | 1.84367e7i | − | 0.611660i | ||||||
\(982\) | −742064. | + | 366819.i | −0.0245563 | + | 0.0121387i | ||||
\(983\) | −1.20067e7 | − | 2.07963e7i | −0.396316 | − | 0.686439i | 0.596952 | − | 0.802277i | \(-0.296378\pi\) |
−0.993268 | + | 0.115837i | \(0.963045\pi\) | |||||||
\(984\) | −5.28816e6 | − | 4.61108e6i | −0.174107 | − | 0.151815i | ||||
\(985\) | 4.55814e7 | + | 7.89493e7i | 1.49691 | + | 2.59273i | ||||
\(986\) | 851004. | − | 1.31750e7i | 0.0278766 | − | 0.431577i | ||||
\(987\) | −1.14465e6 | −0.0374008 | ||||||||
\(988\) | −7.76103e6 | − | 1.24615e7i | −0.252946 | − | 0.406144i | ||||
\(989\) | 5.48769e7 | 1.78402 | ||||||||
\(990\) | −554948. | + | 8.59155e6i | −0.0179955 | + | 0.278602i | ||||
\(991\) | 8.51586e6 | + | 1.47499e7i | 0.275451 | + | 0.477095i | 0.970249 | − | 0.242110i | \(-0.0778395\pi\) |
−0.694798 | + | 0.719205i | \(0.744506\pi\) | |||||||
\(992\) | −3.28344e7 | − | 1.09727e7i | −1.05938 | − | 0.354024i | ||||
\(993\) | 3.28715e6 | + | 5.69350e6i | 0.105790 | + | 0.183234i | ||||
\(994\) | −3.53015e7 | + | 1.74504e7i | −1.13325 | + | 0.560194i | ||||
\(995\) | 5.37336e7i | 1.72063i | ||||||||
\(996\) | −3.92021e6 | + | 1.63251e6i | −0.125216 | + | 0.0521444i | ||||
\(997\) | −1.97560e7 | + | 3.42184e7i | −0.629450 | + | 1.09024i | 0.358212 | + | 0.933640i | \(0.383387\pi\) |
−0.987662 | + | 0.156600i | \(0.949947\pi\) | |||||||
\(998\) | −4.49278e7 | + | 2.22089e7i | −1.42787 | + | 0.705830i | ||||
\(999\) | 3.98171e6i | 0.126228i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 76.6.f.a.31.2 | yes | 96 | |
4.3 | odd | 2 | inner | 76.6.f.a.31.18 | yes | 96 | |
19.8 | odd | 6 | inner | 76.6.f.a.27.18 | yes | 96 | |
76.27 | even | 6 | inner | 76.6.f.a.27.2 | ✓ | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.6.f.a.27.2 | ✓ | 96 | 76.27 | even | 6 | inner | |
76.6.f.a.27.18 | yes | 96 | 19.8 | odd | 6 | inner | |
76.6.f.a.31.2 | yes | 96 | 1.1 | even | 1 | trivial | |
76.6.f.a.31.18 | yes | 96 | 4.3 | odd | 2 | inner |