Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,7,Mod(7,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.7");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.f (of order \(22\), degree \(10\), 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: | \(15.8737317698\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 10.6 | ||
Character | \(\chi\) | \(=\) | 69.10 |
Dual form | 69.7.f.a.7.6 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{3}{22}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.37670 | − | 6.20505i | −0.672088 | − | 0.775631i | 0.312613 | − | 0.949880i | \(-0.398796\pi\) |
−0.984702 | + | 0.174249i | \(0.944250\pi\) | |||||||
\(3\) | −13.1138 | − | 8.42776i | −0.485698 | − | 0.312139i | ||||
\(4\) | −0.485518 | + | 3.37685i | −0.00758621 | + | 0.0527633i | ||||
\(5\) | −45.2350 | − | 20.6582i | −0.361880 | − | 0.165265i | 0.226173 | − | 0.974087i | \(-0.427378\pi\) |
−0.588054 | + | 0.808822i | \(0.700106\pi\) | |||||||
\(6\) | 18.2146 | + | 126.686i | 0.0843270 | + | 0.586507i | ||||
\(7\) | −13.8057 | + | 47.0180i | −0.0402499 | + | 0.137079i | −0.977167 | − | 0.212474i | \(-0.931848\pi\) |
0.936917 | + | 0.349552i | \(0.113666\pi\) | |||||||
\(8\) | −418.489 | + | 268.946i | −0.817361 | + | 0.525286i | ||||
\(9\) | 100.946 | + | 221.041i | 0.138472 | + | 0.303211i | ||||
\(10\) | 115.031 | + | 391.758i | 0.115031 | + | 0.391758i | ||||
\(11\) | 464.382 | + | 402.389i | 0.348897 | + | 0.302321i | 0.811624 | − | 0.584180i | \(-0.198584\pi\) |
−0.462727 | + | 0.886501i | \(0.653129\pi\) | |||||||
\(12\) | 34.8263 | − | 40.1917i | 0.0201541 | − | 0.0232591i | ||||
\(13\) | −2251.53 | + | 661.110i | −1.02482 | + | 0.300915i | −0.750604 | − | 0.660753i | \(-0.770237\pi\) |
−0.274218 | + | 0.961667i | \(0.588419\pi\) | |||||||
\(14\) | 365.978 | − | 167.137i | 0.133374 | − | 0.0609098i | ||||
\(15\) | 419.103 | + | 652.138i | 0.124179 | + | 0.193226i | ||||
\(16\) | 4128.41 | + | 1212.21i | 1.00791 | + | 0.295950i | ||||
\(17\) | −6777.57 | + | 974.468i | −1.37952 | + | 0.198345i | −0.791829 | − | 0.610743i | \(-0.790871\pi\) |
−0.587689 | + | 0.809087i | \(0.699962\pi\) | |||||||
\(18\) | 828.811 | − | 1814.84i | 0.142114 | − | 0.311187i | ||||
\(19\) | 12055.0 | + | 1733.24i | 1.75754 | + | 0.252696i | 0.944266 | − | 0.329184i | \(-0.106774\pi\) |
0.813274 | + | 0.581880i | \(0.197683\pi\) | |||||||
\(20\) | 91.7219 | − | 142.722i | 0.0114652 | − | 0.0178403i | ||||
\(21\) | 577.302 | − | 500.235i | 0.0623369 | − | 0.0540152i | ||||
\(22\) | − | 5045.04i | − | 0.473801i | ||||||
\(23\) | 12163.9 | + | 272.588i | 0.999749 | + | 0.0224039i | ||||
\(24\) | 7754.61 | 0.560953 | ||||||||
\(25\) | −8612.75 | − | 9939.64i | −0.551216 | − | 0.636137i | ||||
\(26\) | 16208.1 | + | 10416.3i | 0.922170 | + | 0.592642i | ||||
\(27\) | 539.088 | − | 3749.44i | 0.0273885 | − | 0.190491i | ||||
\(28\) | −152.070 | − | 69.4479i | −0.00692737 | − | 0.00316362i | ||||
\(29\) | −954.290 | − | 6637.24i | −0.0391279 | − | 0.272141i | 0.960860 | − | 0.277034i | \(-0.0893515\pi\) |
−0.999988 | + | 0.00489344i | \(0.998442\pi\) | |||||||
\(30\) | 1793.15 | − | 6106.91i | 0.0664130 | − | 0.226182i | ||||
\(31\) | 39322.2 | − | 25270.8i | 1.31993 | − | 0.848271i | 0.324704 | − | 0.945816i | \(-0.394735\pi\) |
0.995231 | + | 0.0975453i | \(0.0310991\pi\) | |||||||
\(32\) | −1449.71 | − | 3174.43i | −0.0442417 | − | 0.0968759i | ||||
\(33\) | −2698.59 | − | 9190.56i | −0.0750923 | − | 0.255741i | ||||
\(34\) | 42487.6 | + | 36815.7i | 1.08100 | + | 0.936692i | ||||
\(35\) | 1595.81 | − | 1841.66i | 0.0372200 | − | 0.0429541i | ||||
\(36\) | −795.432 | + | 233.560i | −0.0170489 | + | 0.00500600i | ||||
\(37\) | 63144.5 | − | 28837.1i | 1.24661 | − | 0.569308i | 0.320746 | − | 0.947165i | \(-0.396066\pi\) |
0.925864 | + | 0.377858i | \(0.123339\pi\) | |||||||
\(38\) | −54061.1 | − | 84120.8i | −0.985223 | − | 1.53304i | ||||
\(39\) | 35097.9 | + | 10305.7i | 0.591681 | + | 0.173733i | ||||
\(40\) | 24486.3 | − | 3520.60i | 0.382598 | − | 0.0550093i | ||||
\(41\) | −40273.6 | + | 88186.8i | −0.584344 | + | 1.27953i | 0.354456 | + | 0.935073i | \(0.384666\pi\) |
−0.938800 | + | 0.344462i | \(0.888061\pi\) | |||||||
\(42\) | −6207.96 | − | 892.570i | −0.0837918 | − | 0.0120474i | ||||
\(43\) | −56420.3 | + | 87791.7i | −0.709627 | + | 1.10420i | 0.279925 | + | 0.960022i | \(0.409691\pi\) |
−0.989552 | + | 0.144179i | \(0.953946\pi\) | |||||||
\(44\) | −1584.27 | + | 1372.78i | −0.0185982 | + | 0.0161155i | ||||
\(45\) | − | 12084.1i | − | 0.132611i | ||||||
\(46\) | −63710.5 | − | 76943.5i | −0.654542 | − | 0.790494i | ||||
\(47\) | −54685.7 | −0.526721 | −0.263360 | − | 0.964698i | \(-0.584831\pi\) | ||||
−0.263360 | + | 0.964698i | \(0.584831\pi\) | |||||||
\(48\) | −43923.1 | − | 50690.0i | −0.397164 | − | 0.458351i | ||||
\(49\) | 96952.5 | + | 62307.6i | 0.824083 | + | 0.529606i | ||||
\(50\) | −15367.7 | + | 106885.i | −0.122942 | + | 0.855080i | ||||
\(51\) | 97092.6 | + | 44340.7i | 0.731940 | + | 0.334266i | ||||
\(52\) | −1139.31 | − | 7924.07i | −0.00810274 | − | 0.0563558i | ||||
\(53\) | −5355.06 | + | 18237.7i | −0.0359697 | + | 0.122502i | −0.975521 | − | 0.219907i | \(-0.929425\pi\) |
0.939551 | + | 0.342409i | \(0.111243\pi\) | |||||||
\(54\) | −26164.0 | + | 16814.6i | −0.166158 | + | 0.106784i | ||||
\(55\) | −12693.7 | − | 27795.4i | −0.0762958 | − | 0.167064i | ||||
\(56\) | −6867.77 | − | 23389.5i | −0.0391068 | − | 0.133185i | ||||
\(57\) | −143480. | − | 124326.i | −0.774757 | − | 0.671331i | ||||
\(58\) | −36053.4 | + | 41607.9i | −0.184783 | + | 0.213251i | ||||
\(59\) | −288355. | + | 84668.7i | −1.40401 | + | 0.412256i | −0.894061 | − | 0.447946i | \(-0.852156\pi\) |
−0.509954 | + | 0.860202i | \(0.670338\pi\) | |||||||
\(60\) | −2405.65 | + | 1098.62i | −0.0111373 | + | 0.00508623i | ||||
\(61\) | 177678. | + | 276472.i | 0.782788 | + | 1.21804i | 0.971739 | + | 0.236056i | \(0.0758549\pi\) |
−0.188951 | + | 0.981986i | \(0.560509\pi\) | |||||||
\(62\) | −368230. | − | 108122.i | −1.54506 | − | 0.453670i | ||||
\(63\) | −11786.5 | + | 1694.64i | −0.0471372 | + | 0.00677730i | ||||
\(64\) | 102491. | − | 224425.i | 0.390973 | − | 0.856112i | ||||
\(65\) | 115506. | + | 16607.2i | 0.420594 | + | 0.0604723i | ||||
\(66\) | −42518.3 | + | 66159.8i | −0.147892 | + | 0.230124i | ||||
\(67\) | −51697.0 | + | 44795.7i | −0.171886 | + | 0.148940i | −0.736556 | − | 0.676377i | \(-0.763549\pi\) |
0.564669 | + | 0.825317i | \(0.309004\pi\) | |||||||
\(68\) | − | 23360.0i | − | 0.0742926i | ||||||
\(69\) | −157219. | − | 106089.i | −0.478583 | − | 0.322942i | ||||
\(70\) | −20007.8 | −0.0583317 | ||||||||
\(71\) | 69274.3 | + | 79946.8i | 0.193552 | + | 0.223371i | 0.844227 | − | 0.535985i | \(-0.180060\pi\) |
−0.650676 | + | 0.759356i | \(0.725514\pi\) | |||||||
\(72\) | −101693. | − | 65354.0i | −0.272454 | − | 0.175095i | ||||
\(73\) | −60222.4 | + | 418856.i | −0.154807 | + | 1.07670i | 0.753213 | + | 0.657776i | \(0.228503\pi\) |
−0.908020 | + | 0.418927i | \(0.862406\pi\) | |||||||
\(74\) | −518445. | − | 236766.i | −1.27940 | − | 0.584284i | ||||
\(75\) | 29177.4 | + | 202933.i | 0.0691612 | + | 0.481027i | ||||
\(76\) | −11705.8 | + | 39866.3i | −0.0266661 | + | 0.0908166i | ||||
\(77\) | −25330.6 | + | 16279.0i | −0.0554848 | + | 0.0356579i | ||||
\(78\) | −124764. | − | 273195.i | −0.262909 | − | 0.575690i | ||||
\(79\) | −28730.9 | − | 97848.4i | −0.0582731 | − | 0.198460i | 0.925212 | − | 0.379452i | \(-0.123887\pi\) |
−0.983485 | + | 0.180992i | \(0.942069\pi\) | |||||||
\(80\) | −161707. | − | 140120.i | −0.315834 | − | 0.273671i | ||||
\(81\) | −38668.9 | + | 44626.3i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 763742. | − | 224255.i | 1.38518 | − | 0.406725i | ||||
\(83\) | 387283. | − | 176866.i | 0.677320 | − | 0.309322i | −0.0468910 | − | 0.998900i | \(-0.514931\pi\) |
0.724211 | + | 0.689578i | \(0.242204\pi\) | |||||||
\(84\) | 1408.93 | + | 2192.33i | 0.00237712 | + | 0.00369887i | ||||
\(85\) | 326714. | + | 95932.0i | 0.532000 | + | 0.156209i | ||||
\(86\) | 848107. | − | 121939.i | 1.33338 | − | 0.191712i | ||||
\(87\) | −43422.6 | + | 95082.2i | −0.0659414 | + | 0.144391i | ||||
\(88\) | −302560. | − | 43501.5i | −0.443980 | − | 0.0638346i | ||||
\(89\) | 409515. | − | 637218.i | 0.580898 | − | 0.903894i | −0.419094 | − | 0.907943i | \(-0.637652\pi\) |
0.999992 | + | 0.00404833i | \(0.00128863\pi\) | |||||||
\(90\) | −74982.6 | + | 64972.8i | −0.102857 | + | 0.0891260i | ||||
\(91\) | − | 114990.i | − | 0.152593i | ||||||
\(92\) | −6826.30 | + | 40943.5i | −0.00876641 | + | 0.0525801i | ||||
\(93\) | −728641. | −0.905868 | ||||||||
\(94\) | 294029. | + | 339327.i | 0.354003 | + | 0.408541i | ||||
\(95\) | −509501. | − | 327437.i | −0.594257 | − | 0.381906i | ||||
\(96\) | −7742.00 | + | 53846.8i | −0.00875063 | + | 0.0608620i | ||||
\(97\) | 489734. | + | 223654.i | 0.536594 | + | 0.245054i | 0.665231 | − | 0.746638i | \(-0.268333\pi\) |
−0.128637 | + | 0.991692i | \(0.541060\pi\) | |||||||
\(98\) | −134663. | − | 936605.i | −0.143078 | − | 0.995126i | ||||
\(99\) | −42066.9 | + | 143267.i | −0.0433546 | + | 0.147652i | ||||
\(100\) | 37746.3 | − | 24258.1i | 0.0377463 | − | 0.0242581i | ||||
\(101\) | 537878. | + | 1.17779e6i | 0.522059 | + | 1.14315i | 0.968654 | + | 0.248414i | \(0.0799094\pi\) |
−0.446595 | + | 0.894736i | \(0.647363\pi\) | |||||||
\(102\) | −246902. | − | 840871.i | −0.232661 | − | 0.792372i | ||||
\(103\) | 1.21981e6 | + | 1.05697e6i | 1.11630 | + | 0.967276i | 0.999665 | − | 0.0258988i | \(-0.00824476\pi\) |
0.116632 | + | 0.993175i | \(0.462790\pi\) | |||||||
\(104\) | 764439. | − | 882209.i | 0.679583 | − | 0.784281i | ||||
\(105\) | −36448.2 | + | 10702.2i | −0.0314853 | + | 0.00924493i | ||||
\(106\) | 141958. | − | 64830.1i | 0.119191 | − | 0.0544326i | ||||
\(107\) | 1.19055e6 | + | 1.85254e6i | 0.971847 | + | 1.51222i | 0.854709 | + | 0.519108i | \(0.173736\pi\) |
0.117139 | + | 0.993116i | \(0.462628\pi\) | |||||||
\(108\) | 12399.6 | + | 3640.84i | 0.00984316 | + | 0.00289021i | ||||
\(109\) | −424147. | + | 60983.1i | −0.327519 | + | 0.0470901i | −0.304113 | − | 0.952636i | \(-0.598360\pi\) |
−0.0234059 | + | 0.999726i | \(0.507451\pi\) | |||||||
\(110\) | −104221. | + | 228213.i | −0.0783029 | + | 0.171459i | ||||
\(111\) | −1.07110e6 | − | 154001.i | −0.783179 | − | 0.112604i | ||||
\(112\) | −113991. | + | 177374.i | −0.0811368 | + | 0.126251i | ||||
\(113\) | −673057. | + | 583207.i | −0.466462 | + | 0.404192i | −0.856128 | − | 0.516765i | \(-0.827136\pi\) |
0.389665 | + | 0.920957i | \(0.372591\pi\) | |||||||
\(114\) | 1.55876e6i | 1.05212i | ||||||||
\(115\) | −544605. | − | 263615.i | −0.358087 | − | 0.173331i | ||||
\(116\) | 22876.3 | 0.0146559 | ||||||||
\(117\) | −373415. | − | 430944.i | −0.233149 | − | 0.269069i | ||||
\(118\) | 2.07577e6 | + | 1.33402e6i | 1.26338 | + | 0.811925i | ||||
\(119\) | 47751.8 | − | 332121.i | 0.0283366 | − | 0.197086i | ||||
\(120\) | −350780. | − | 160196.i | −0.202998 | − | 0.0927060i | ||||
\(121\) | −198386. | − | 1.37980e6i | −0.111984 | − | 0.778864i | ||||
\(122\) | 760203. | − | 2.58901e6i | 0.418649 | − | 1.42579i | ||||
\(123\) | 1.27136e6 | − | 817052.i | 0.683207 | − | 0.439071i | ||||
\(124\) | 66244.2 | + | 145054.i | 0.0347442 | + | 0.0760792i | ||||
\(125\) | 403174. | + | 1.37308e6i | 0.206425 | + | 0.703019i | ||||
\(126\) | 73887.9 | + | 64024.2i | 0.0369370 | + | 0.0320061i | ||||
\(127\) | −1.23082e6 | + | 1.42044e6i | −0.600875 | + | 0.693447i | −0.971958 | − | 0.235153i | \(-0.924441\pi\) |
0.371084 | + | 0.928599i | \(0.378986\pi\) | |||||||
\(128\) | −2.15793e6 | + | 633625.i | −1.02898 | + | 0.302136i | ||||
\(129\) | 1.47977e6 | − | 675790.i | 0.689329 | − | 0.314806i | ||||
\(130\) | −517991. | − | 806010.i | −0.235772 | − | 0.366868i | ||||
\(131\) | −2.27815e6 | − | 668926.i | −1.01337 | − | 0.297553i | −0.267440 | − | 0.963575i | \(-0.586178\pi\) |
−0.745932 | + | 0.666022i | \(0.767996\pi\) | |||||||
\(132\) | 32345.4 | − | 4650.56i | 0.0140634 | − | 0.00202201i | ||||
\(133\) | −247921. | + | 542871.i | −0.105380 | + | 0.230750i | ||||
\(134\) | 555919. | + | 79929.1i | 0.231045 | + | 0.0332193i | ||||
\(135\) | −101842. | + | 158469.i | −0.0413929 | + | 0.0644087i | ||||
\(136\) | 2.57426e6 | − | 2.23061e6i | 1.02338 | − | 0.886760i | ||||
\(137\) | − | 1.76869e6i | − | 0.687846i | −0.938998 | − | 0.343923i | \(-0.888244\pi\) | ||
0.938998 | − | 0.343923i | \(-0.111756\pi\) | |||||||
\(138\) | 187029. | + | 1.54596e6i | 0.0711658 | + | 0.588249i | ||||
\(139\) | 120772. | 0.0449699 | 0.0224849 | − | 0.999747i | \(-0.492842\pi\) | ||||
0.0224849 | + | 0.999747i | \(0.492842\pi\) | |||||||
\(140\) | 5444.21 | + | 6282.96i | 0.00198404 | + | 0.00228971i | ||||
\(141\) | 717140. | + | 460878.i | 0.255827 | + | 0.164410i | ||||
\(142\) | 123606. | − | 859701.i | 0.0431693 | − | 0.300249i | ||||
\(143\) | −1.31159e6 | − | 598985.i | −0.448530 | − | 0.204837i | ||||
\(144\) | 148798. | + | 1.03491e6i | 0.0498322 | + | 0.346591i | ||||
\(145\) | −93945.7 | + | 319950.i | −0.0308157 | + | 0.104949i | ||||
\(146\) | 2.92282e6 | − | 1.87838e6i | 0.939168 | − | 0.603567i | ||||
\(147\) | −746307. | − | 1.63418e6i | −0.234945 | − | 0.514457i | ||||
\(148\) | 66720.9 | + | 227230.i | 0.0205815 | + | 0.0700941i | ||||
\(149\) | 1.31198e6 | + | 1.13684e6i | 0.396614 | + | 0.343668i | 0.830221 | − | 0.557434i | \(-0.188214\pi\) |
−0.433607 | + | 0.901102i | \(0.642759\pi\) | |||||||
\(150\) | 1.10233e6 | − | 1.27216e6i | 0.326617 | − | 0.376936i | ||||
\(151\) | −604811. | + | 177588.i | −0.175666 | + | 0.0515803i | −0.368383 | − | 0.929674i | \(-0.620088\pi\) |
0.192716 | + | 0.981254i | \(0.438270\pi\) | |||||||
\(152\) | −5.51102e6 | + | 2.51680e6i | −1.56928 | + | 0.716667i | ||||
\(153\) | −899565. | − | 1.39975e6i | −0.251164 | − | 0.390819i | ||||
\(154\) | 237207. | + | 69650.4i | 0.0649480 | + | 0.0190705i | ||||
\(155\) | −2.30079e6 | + | 330804.i | −0.617848 | + | 0.0888331i | ||||
\(156\) | −51841.4 | + | 113517.i | −0.0136554 | + | 0.0299011i | ||||
\(157\) | −3.09152e6 | − | 444494.i | −0.798865 | − | 0.114860i | −0.269220 | − | 0.963079i | \(-0.586766\pi\) |
−0.529645 | + | 0.848219i | \(0.677675\pi\) | |||||||
\(158\) | −452677. | + | 704379.i | −0.114767 | + | 0.178581i | ||||
\(159\) | 223928. | − | 194035.i | 0.0557080 | − | 0.0482712i | ||||
\(160\) | 173544.i | 0.0423691i | ||||||||
\(161\) | −180749. | + | 568161.i | −0.0433109 | + | 0.136142i | ||||
\(162\) | 484819. | 0.114034 | ||||||||
\(163\) | −4.16579e6 | − | 4.80758e6i | −0.961911 | − | 1.11010i | −0.993863 | − | 0.110615i | \(-0.964718\pi\) |
0.0319521 | − | 0.999489i | \(-0.489828\pi\) | |||||||
\(164\) | −278240. | − | 178814.i | −0.0630795 | − | 0.0405387i | ||||
\(165\) | −67789.1 | + | 471483.i | −0.0150907 | + | 0.104958i | ||||
\(166\) | −3.17977e6 | − | 1.45215e6i | −0.695138 | − | 0.317459i | ||||
\(167\) | 1.14385e6 | + | 7.95566e6i | 0.245595 | + | 1.70815i | 0.623098 | + | 0.782144i | \(0.285874\pi\) |
−0.377503 | + | 0.926008i | \(0.623217\pi\) | |||||||
\(168\) | −107058. | + | 364606.i | −0.0225783 | + | 0.0768946i | ||||
\(169\) | 571769. | − | 367454.i | 0.118457 | − | 0.0761277i | ||||
\(170\) | −1.16138e6 | − | 2.54308e6i | −0.236390 | − | 0.517622i | ||||
\(171\) | 833782. | + | 2.83960e6i | 0.166749 | + | 0.567896i | ||||
\(172\) | −269066. | − | 233147.i | −0.0528779 | − | 0.0458189i | ||||
\(173\) | 155606. | − | 179579.i | 0.0300530 | − | 0.0346830i | −0.740524 | − | 0.672030i | \(-0.765423\pi\) |
0.770577 | + | 0.637347i | \(0.219968\pi\) | |||||||
\(174\) | 823460. | − | 241790.i | 0.156313 | − | 0.0458976i | ||||
\(175\) | 586247. | − | 267730.i | 0.109387 | − | 0.0499554i | ||||
\(176\) | 1.42938e6 | + | 2.22416e6i | 0.262186 | + | 0.407969i | ||||
\(177\) | 4.49501e6 | + | 1.31985e6i | 0.810608 | + | 0.238016i | ||||
\(178\) | −6.15581e6 | + | 885071.i | −1.09150 | + | 0.156934i | ||||
\(179\) | −1.47070e6 | + | 3.22037e6i | −0.256427 | + | 0.561497i | −0.993436 | − | 0.114386i | \(-0.963510\pi\) |
0.737010 | + | 0.675882i | \(0.236237\pi\) | |||||||
\(180\) | 40806.3 | + | 5867.06i | 0.00699697 | + | 0.00100601i | ||||
\(181\) | 67508.1 | − | 105045.i | 0.0113847 | − | 0.0177149i | −0.835515 | − | 0.549468i | \(-0.814830\pi\) |
0.846899 | + | 0.531753i | \(0.178467\pi\) | |||||||
\(182\) | −713516. | + | 618265.i | −0.118356 | + | 0.102556i | ||||
\(183\) | − | 5.12304e6i | − | 0.835940i | ||||||
\(184\) | −5.16379e6 | + | 3.15737e6i | −0.828924 | + | 0.506842i | ||||
\(185\) | −3.45207e6 | −0.545210 | ||||||||
\(186\) | 3.91769e6 | + | 4.52125e6i | 0.608823 | + | 0.702619i | ||||
\(187\) | −3.53949e6 | − | 2.27470e6i | −0.541273 | − | 0.347855i | ||||
\(188\) | 26550.9 | − | 184665.i | 0.00399581 | − | 0.0277915i | ||||
\(189\) | 168848. | + | 77110.5i | 0.0250099 | + | 0.0114216i | ||||
\(190\) | 707678. | + | 4.92201e6i | 0.103175 | + | 0.717599i | ||||
\(191\) | −1.49164e6 | + | 5.08007e6i | −0.214074 | + | 0.729070i | 0.780510 | + | 0.625143i | \(0.214959\pi\) |
−0.994585 | + | 0.103928i | \(0.966859\pi\) | |||||||
\(192\) | −3.23545e6 | + | 2.07930e6i | −0.457121 | + | 0.293774i | ||||
\(193\) | 1.05938e6 | + | 2.31972e6i | 0.147360 | + | 0.322674i | 0.968890 | − | 0.247492i | \(-0.0796063\pi\) |
−0.821530 | + | 0.570165i | \(0.806879\pi\) | |||||||
\(194\) | −1.24537e6 | − | 4.24135e6i | −0.170567 | − | 0.580897i | ||||
\(195\) | −1.37476e6 | − | 1.19124e6i | −0.185406 | − | 0.160655i | ||||
\(196\) | −257476. | + | 297143.i | −0.0341954 | + | 0.0394636i | ||||
\(197\) | 8.70987e6 | − | 2.55745e6i | 1.13923 | − | 0.334509i | 0.342904 | − | 0.939371i | \(-0.388590\pi\) |
0.796331 | + | 0.604861i | \(0.206771\pi\) | |||||||
\(198\) | 1.11516e6 | − | 509276.i | 0.143662 | − | 0.0656081i | ||||
\(199\) | 3.54271e6 | + | 5.51256e6i | 0.449548 | + | 0.699511i | 0.989875 | − | 0.141945i | \(-0.0453356\pi\) |
−0.540326 | + | 0.841456i | \(0.681699\pi\) | |||||||
\(200\) | 6.27757e6 | + | 1.84326e6i | 0.784696 | + | 0.230408i | ||||
\(201\) | 1.05547e6 | − | 151754.i | 0.129975 | − | 0.0186876i | ||||
\(202\) | 4.41623e6 | − | 9.67019e6i | 0.535793 | − | 1.17322i | ||||
\(203\) | 325244. | + | 46763.0i | 0.0388795 | + | 0.00559003i | ||||
\(204\) | −196872. | + | 306339.i | −0.0231896 | + | 0.0360837i | ||||
\(205\) | 3.64355e6 | − | 3.15716e6i | 0.422925 | − | 0.366467i | ||||
\(206\) | − | 1.32520e7i | − | 1.51593i | ||||||
\(207\) | 1.16765e6 | + | 2.71624e6i | 0.131644 | + | 0.306237i | ||||
\(208\) | −1.00967e7 | −1.12199 | ||||||||
\(209\) | 4.90067e6 | + | 5.65567e6i | 0.536805 | + | 0.619506i | ||||
\(210\) | 262379. | + | 168621.i | 0.0283316 | + | 0.0182076i | ||||
\(211\) | −782957. | + | 5.44559e6i | −0.0833471 | + | 0.579692i | 0.904760 | + | 0.425922i | \(0.140050\pi\) |
−0.988107 | + | 0.153769i | \(0.950859\pi\) | |||||||
\(212\) | −58985.9 | − | 26937.9i | −0.00619071 | − | 0.00282720i | ||||
\(213\) | −234680. | − | 1.63224e6i | −0.0242850 | − | 0.168906i | ||||
\(214\) | 5.09383e6 | − | 1.73480e7i | 0.519761 | − | 1.77014i | ||||
\(215\) | 4.36579e6 | − | 2.80572e6i | 0.439286 | − | 0.282312i | ||||
\(216\) | 782796. | + | 1.71408e6i | 0.0776761 | + | 0.170087i | ||||
\(217\) | 645312. | + | 2.19773e6i | 0.0631525 | + | 0.215078i | ||||
\(218\) | 2.65891e6 | + | 2.30396e6i | 0.256646 | + | 0.222385i | ||||
\(219\) | 4.31976e6 | − | 4.98527e6i | 0.411270 | − | 0.474631i | ||||
\(220\) | 100024. | − | 29369.6i | 0.00939366 | − | 0.00275823i | ||||
\(221\) | 1.46157e7 | − | 6.67477e6i | 1.35408 | − | 0.618386i | ||||
\(222\) | 4.80340e6 | + | 7.47424e6i | 0.439026 | + | 0.683138i | ||||
\(223\) | −4.06331e6 | − | 1.19310e6i | −0.366408 | − | 0.107587i | 0.0933451 | − | 0.995634i | \(-0.470244\pi\) |
−0.459753 | + | 0.888047i | \(0.652062\pi\) | |||||||
\(224\) | 169269. | − | 24337.3i | 0.0150603 | − | 0.00216535i | ||||
\(225\) | 1.32764e6 | − | 2.90713e6i | 0.116556 | − | 0.255222i | ||||
\(226\) | 7.23766e6 | + | 1.04062e6i | 0.627008 | + | 0.0901501i | ||||
\(227\) | 1.08564e7 | − | 1.68929e7i | 0.928129 | − | 1.44420i | 0.0324618 | − | 0.999473i | \(-0.489665\pi\) |
0.895667 | − | 0.444724i | \(-0.146698\pi\) | |||||||
\(228\) | 489491. | − | 424147.i | 0.0412991 | − | 0.0357859i | ||||
\(229\) | − | 1.16015e7i | − | 0.966068i | −0.875602 | − | 0.483034i | \(-0.839535\pi\) | ||
0.875602 | − | 0.483034i | \(-0.160465\pi\) | |||||||
\(230\) | 1.29244e6 | + | 4.79668e6i | 0.106225 | + | 0.394237i | ||||
\(231\) | 469378. | 0.0380791 | ||||||||
\(232\) | 2.18442e6 | + | 2.52096e6i | 0.174933 | + | 0.201884i | ||||
\(233\) | 1.59307e7 | + | 1.02381e7i | 1.25941 | + | 0.809375i | 0.988204 | − | 0.153146i | \(-0.0489406\pi\) |
0.271208 | + | 0.962521i | \(0.412577\pi\) | |||||||
\(234\) | −666286. | + | 4.63412e6i | −0.0520011 | + | 0.361676i | ||||
\(235\) | 2.47371e6 | + | 1.12971e6i | 0.190610 | + | 0.0870486i | ||||
\(236\) | −145912. | − | 1.01484e6i | −0.0111008 | − | 0.0772079i | ||||
\(237\) | −447870. | + | 1.52531e6i | −0.0336440 | + | 0.114581i | ||||
\(238\) | −2.31757e6 | + | 1.48941e6i | −0.171911 | + | 0.110480i | ||||
\(239\) | −5.27667e6 | − | 1.15543e7i | −0.386515 | − | 0.846349i | −0.998461 | − | 0.0554501i | \(-0.982341\pi\) |
0.611947 | − | 0.790899i | \(-0.290387\pi\) | |||||||
\(240\) | 939703. | + | 3.20034e6i | 0.0679762 | + | 0.231506i | ||||
\(241\) | −1.72467e6 | − | 1.49443e6i | −0.123212 | − | 0.106764i | 0.591075 | − | 0.806617i | \(-0.298704\pi\) |
−0.714288 | + | 0.699852i | \(0.753249\pi\) | |||||||
\(242\) | −7.49509e6 | + | 8.64980e6i | −0.528848 | + | 0.610323i | ||||
\(243\) | 883197. | − | 259330.i | 0.0615515 | − | 0.0180732i | ||||
\(244\) | −1.01987e6 | + | 465760.i | −0.0702063 | + | 0.0320621i | ||||
\(245\) | −3.09849e6 | − | 4.82135e6i | −0.210694 | − | 0.327846i | ||||
\(246\) | −1.19056e7 | − | 3.49579e6i | −0.799732 | − | 0.234823i | ||||
\(247\) | −2.82880e7 | + | 4.06721e6i | −1.87721 | + | 0.269901i | ||||
\(248\) | −9.65939e6 | + | 2.11511e7i | −0.633278 | + | 1.38669i | ||||
\(249\) | −6.56935e6 | − | 944530.i | −0.425524 | − | 0.0611812i | ||||
\(250\) | 6.35231e6 | − | 9.88438e6i | 0.406548 | − | 0.632600i | ||||
\(251\) | −3.22347e6 | + | 2.79315e6i | −0.203846 | + | 0.176634i | −0.750801 | − | 0.660528i | \(-0.770332\pi\) |
0.546955 | + | 0.837162i | \(0.315787\pi\) | |||||||
\(252\) | − | 40624.0i | − | 0.00253852i | ||||||
\(253\) | 5.53903e6 | + | 5.02122e6i | 0.342036 | + | 0.310062i | ||||
\(254\) | 1.54317e7 | 0.941700 | ||||||||
\(255\) | −3.47599e6 | − | 4.01151e6i | −0.209632 | − | 0.241928i | ||||
\(256\) | 2.25076e6 | + | 1.44648e6i | 0.134156 | + | 0.0862166i | ||||
\(257\) | −459102. | + | 3.19312e6i | −0.0270464 | + | 0.188112i | −0.998866 | − | 0.0476149i | \(-0.984838\pi\) |
0.971819 | + | 0.235727i | \(0.0757471\pi\) | |||||||
\(258\) | −1.21496e7 | − | 5.54855e6i | −0.707463 | − | 0.323087i | ||||
\(259\) | 484108. | + | 3.36704e6i | 0.0278640 | + | 0.193798i | ||||
\(260\) | −112160. | + | 381982.i | −0.00638143 | + | 0.0217331i | ||||
\(261\) | 1.37077e6 | − | 880938.i | 0.0770978 | − | 0.0495477i | ||||
\(262\) | 8.09823e6 | + | 1.77327e7i | 0.450284 | + | 0.985984i | ||||
\(263\) | −3.07788e6 | − | 1.04823e7i | −0.169194 | − | 0.576222i | −0.999812 | − | 0.0193795i | \(-0.993831\pi\) |
0.830618 | − | 0.556842i | \(-0.187987\pi\) | |||||||
\(264\) | 3.60110e6 | + | 3.12037e6i | 0.195715 | + | 0.169588i | ||||
\(265\) | 618993. | − | 714356.i | 0.0332620 | − | 0.0383864i | ||||
\(266\) | 4.70154e6 | − | 1.38050e6i | 0.249802 | − | 0.0733484i | ||||
\(267\) | −1.07406e7 | + | 4.90508e6i | −0.564282 | + | 0.257699i | ||||
\(268\) | −126169. | − | 196322.i | −0.00655461 | − | 0.0101992i | ||||
\(269\) | 1.50543e7 | + | 4.42034e6i | 0.773400 | + | 0.227091i | 0.644538 | − | 0.764572i | \(-0.277050\pi\) |
0.128861 | + | 0.991663i | \(0.458868\pi\) | |||||||
\(270\) | 1.53089e6 | − | 220108.i | 0.0777771 | − | 0.0111827i | ||||
\(271\) | −1.61204e7 | + | 3.52988e7i | −0.809970 | + | 1.77359i | −0.202432 | + | 0.979296i | \(0.564884\pi\) |
−0.607538 | + | 0.794290i | \(0.707843\pi\) | |||||||
\(272\) | −2.91619e7 | − | 4.19284e6i | −1.44913 | − | 0.208354i | ||||
\(273\) | −969105. | + | 1.50796e6i | −0.0476302 | + | 0.0741141i | ||||
\(274\) | −1.09748e7 | + | 9.50975e6i | −0.533515 | + | 0.462293i | ||||
\(275\) | − | 8.08146e6i | − | 0.388590i | ||||||
\(276\) | 434581. | − | 479396.i | 0.0206701 | − | 0.0228017i | ||||
\(277\) | −3.22593e7 | −1.51780 | −0.758901 | − | 0.651206i | \(-0.774263\pi\) | ||||
−0.758901 | + | 0.651206i | \(0.774263\pi\) | |||||||
\(278\) | −649355. | − | 749396.i | −0.0302237 | − | 0.0348800i | ||||
\(279\) | 9.55529e6 | + | 6.14081e6i | 0.439978 | + | 0.282757i | ||||
\(280\) | −172520. | + | 1.19990e6i | −0.00785894 | + | 0.0546602i | ||||
\(281\) | −1.81282e7 | − | 8.27889e6i | −0.817027 | − | 0.373124i | −0.0373475 | − | 0.999302i | \(-0.511891\pi\) |
−0.779680 | + | 0.626179i | \(0.784618\pi\) | |||||||
\(282\) | −996080. | − | 6.92789e6i | −0.0444168 | − | 0.308925i | ||||
\(283\) | 1.03782e7 | − | 3.53448e7i | 0.457891 | − | 1.55943i | −0.330223 | − | 0.943903i | \(-0.607124\pi\) |
0.788114 | − | 0.615530i | \(-0.211058\pi\) | |||||||
\(284\) | −303602. | + | 195113.i | −0.0132541 | + | 0.00851788i | ||||
\(285\) | 3.92197e6 | + | 8.58791e6i | 0.169422 | + | 0.370982i | ||||
\(286\) | 3.33533e6 | + | 1.13591e7i | 0.142574 | + | 0.485562i | ||||
\(287\) | −3.59036e6 | − | 3.11106e6i | −0.151877 | − | 0.131602i | ||||
\(288\) | 555335. | − | 640891.i | 0.0232476 | − | 0.0268291i | ||||
\(289\) | 2.18261e7 | − | 6.40871e6i | 0.904236 | − | 0.265508i | ||||
\(290\) | 2.49042e6 | − | 1.13734e6i | 0.102112 | − | 0.0466332i | ||||
\(291\) | −4.53740e6 | − | 7.06033e6i | −0.184131 | − | 0.286514i | ||||
\(292\) | −1.38517e6 | − | 406724.i | −0.0556360 | − | 0.0163362i | ||||
\(293\) | −3.95830e7 | + | 5.69118e6i | −1.57364 | + | 0.226256i | −0.873167 | − | 0.487421i | \(-0.837938\pi\) |
−0.700475 | + | 0.713677i | \(0.747029\pi\) | |||||||
\(294\) | −6.12752e6 | + | 1.34174e7i | −0.241125 | + | 0.527991i | ||||
\(295\) | 1.47929e7 | + | 2.12689e6i | 0.576217 | + | 0.0828475i | ||||
\(296\) | −1.86696e7 | + | 2.90505e7i | −0.719881 | + | 1.12016i | ||||
\(297\) | 1.75908e6 | − | 1.52425e6i | 0.0671452 | − | 0.0581817i | ||||
\(298\) | − | 1.42533e7i | − | 0.538601i | ||||||
\(299\) | −2.75678e7 | + | 7.42797e6i | −1.03131 | + | 0.277879i | ||||
\(300\) | −699441. | −0.0259052 | ||||||||
\(301\) | −3.34886e6 | − | 3.86480e6i | −0.122800 | − | 0.141719i | ||||
\(302\) | 4.35383e6 | + | 2.79804e6i | 0.158071 | + | 0.101586i | ||||
\(303\) | 2.87247e6 | − | 1.99785e7i | 0.103259 | − | 0.718181i | ||||
\(304\) | 4.76668e7 | + | 2.17687e7i | 1.69666 | + | 0.774840i | ||||
\(305\) | −2.32587e6 | − | 1.61767e7i | −0.0819757 | − | 0.570153i | ||||
\(306\) | −3.84882e6 | + | 1.31079e7i | −0.134327 | + | 0.457476i | ||||
\(307\) | 1.69562e7 | − | 1.08971e7i | 0.586022 | − | 0.376613i | −0.213776 | − | 0.976883i | \(-0.568576\pi\) |
0.799798 | + | 0.600269i | \(0.204940\pi\) | |||||||
\(308\) | −42673.3 | − | 93441.5i | −0.00146051 | − | 0.00319807i | ||||
\(309\) | −7.08849e6 | − | 2.41412e7i | −0.240258 | − | 0.818244i | ||||
\(310\) | 1.44233e7 | + | 1.24979e7i | 0.484150 | + | 0.419518i | ||||
\(311\) | 3.34731e7 | − | 3.86300e7i | 1.11279 | − | 1.28423i | 0.157844 | − | 0.987464i | \(-0.449546\pi\) |
0.954950 | − | 0.296768i | \(-0.0959087\pi\) | |||||||
\(312\) | −1.74598e7 | + | 5.12665e6i | −0.574877 | + | 0.168799i | ||||
\(313\) | −2.06765e7 | + | 9.44266e6i | −0.674287 | + | 0.307937i | −0.722972 | − | 0.690877i | \(-0.757224\pi\) |
0.0486845 | + | 0.998814i | \(0.484497\pi\) | |||||||
\(314\) | 1.38641e7 | + | 2.15730e7i | 0.447819 | + | 0.696820i | ||||
\(315\) | 568171. | + | 166830.i | 0.0181781 | + | 0.00533756i | ||||
\(316\) | 344369. | − | 49512.8i | 0.0109135 | − | 0.00156912i | ||||
\(317\) | 1.36638e7 | − | 2.99194e7i | 0.428936 | − | 0.939238i | −0.564563 | − | 0.825390i | \(-0.690955\pi\) |
0.993498 | − | 0.113848i | \(-0.0363176\pi\) | |||||||
\(318\) | −2.40799e6 | − | 346217.i | −0.0748813 | − | 0.0107663i | ||||
\(319\) | 2.22760e6 | − | 3.46621e6i | 0.0686222 | − | 0.106778i | ||||
\(320\) | −9.27239e6 | + | 8.03457e6i | −0.282971 | + | 0.245196i | ||||
\(321\) | − | 3.43276e7i | − | 1.03784i | ||||||
\(322\) | 4.49730e6 | − | 1.93328e6i | 0.134705 | − | 0.0579064i | ||||
\(323\) | −8.33924e7 | −2.47468 | ||||||||
\(324\) | −131922. | − | 152246.i | −0.00387866 | − | 0.00447621i | ||||
\(325\) | 2.59631e7 | + | 1.66855e7i | 0.756321 | + | 0.486058i | ||||
\(326\) | −7.43304e6 | + | 5.16979e7i | −0.214543 | + | 1.49218i | ||||
\(327\) | 6.07614e6 | + | 2.77488e6i | 0.173774 | + | 0.0793599i | ||||
\(328\) | −6.86349e6 | − | 4.77366e7i | −0.194502 | − | 1.35279i | ||||
\(329\) | 754975. | − | 2.57121e6i | 0.0212005 | − | 0.0722021i | ||||
\(330\) | 3.29006e6 | − | 2.11439e6i | 0.0915508 | − | 0.0588361i | ||||
\(331\) | −961940. | − | 2.10635e6i | −0.0265255 | − | 0.0580828i | 0.895906 | − | 0.444245i | \(-0.146528\pi\) |
−0.922431 | + | 0.386162i | \(0.873801\pi\) | |||||||
\(332\) | 409218. | + | 1.39367e6i | 0.0111825 | + | 0.0380842i | ||||
\(333\) | 1.27484e7 | + | 1.10465e7i | 0.345240 | + | 0.299152i | ||||
\(334\) | 4.32151e7 | − | 4.98729e7i | 1.15983 | − | 1.33852i | ||||
\(335\) | 3.26392e6 | − | 958372.i | 0.0868169 | − | 0.0254918i | ||||
\(336\) | 2.98973e6 | − | 1.36536e6i | 0.0788160 | − | 0.0359940i | ||||
\(337\) | 2.32655e7 | + | 3.62018e7i | 0.607886 | + | 0.945890i | 0.999666 | + | 0.0258306i | \(0.00822306\pi\) |
−0.391780 | + | 0.920059i | \(0.628141\pi\) | |||||||
\(338\) | −5.35430e6 | − | 1.57217e6i | −0.138661 | − | 0.0407144i | ||||
\(339\) | 1.37415e7 | − | 1.97573e6i | 0.352724 | − | 0.0507141i | ||||
\(340\) | −482574. | + | 1.05669e6i | −0.0122780 | + | 0.0268850i | ||||
\(341\) | 2.84292e7 | + | 4.08750e6i | 0.716971 | + | 0.103085i | ||||
\(342\) | 1.31369e7 | − | 2.04414e7i | 0.328408 | − | 0.511012i | ||||
\(343\) | −8.62508e6 | + | 7.47368e6i | −0.213738 | + | 0.185205i | ||||
\(344\) | − | 5.19139e7i | − | 1.27529i | ||||||
\(345\) | 4.92019e6 | + | 8.04681e6i | 0.119819 | + | 0.195960i | ||||
\(346\) | −1.95094e6 | −0.0470995 | ||||||||
\(347\) | 1.94867e6 | + | 2.24889e6i | 0.0466392 | + | 0.0538245i | 0.778590 | − | 0.627533i | \(-0.215935\pi\) |
−0.731951 | + | 0.681358i | \(0.761390\pi\) | |||||||
\(348\) | −299996. | − | 192796.i | −0.00711832 | − | 0.00457467i | ||||
\(349\) | −9.57140e6 | + | 6.65706e7i | −0.225164 | + | 1.56605i | 0.492907 | + | 0.870082i | \(0.335934\pi\) |
−0.718071 | + | 0.695970i | \(0.754975\pi\) | |||||||
\(350\) | −4.81335e6 | − | 2.19818e6i | −0.112265 | − | 0.0512696i | ||||
\(351\) | 1.26502e6 | + | 8.79839e6i | 0.0292533 | + | 0.203461i | ||||
\(352\) | 604135. | − | 2.05749e6i | 0.0138518 | − | 0.0471749i | ||||
\(353\) | −2.70961e7 | + | 1.74136e7i | −0.616002 | + | 0.395880i | −0.811103 | − | 0.584903i | \(-0.801133\pi\) |
0.195102 | + | 0.980783i | \(0.437496\pi\) | |||||||
\(354\) | −1.59786e7 | − | 3.49882e7i | −0.360188 | − | 0.788701i | ||||
\(355\) | −1.48207e6 | − | 5.04748e6i | −0.0331272 | − | 0.112821i | ||||
\(356\) | 1.95296e6 | + | 1.69225e6i | 0.0432856 | + | 0.0375072i | ||||
\(357\) | −3.42524e6 | + | 3.95294e6i | −0.0752812 | + | 0.0868791i | ||||
\(358\) | 2.78901e7 | − | 8.18926e6i | 0.607856 | − | 0.178482i | ||||
\(359\) | 2.77640e6 | − | 1.26794e6i | 0.0600066 | − | 0.0274041i | −0.385186 | − | 0.922839i | \(-0.625863\pi\) |
0.445192 | + | 0.895435i | \(0.353135\pi\) | |||||||
\(360\) | 3.24998e6 | + | 5.05707e6i | 0.0696584 | + | 0.108391i | ||||
\(361\) | 9.71779e7 | + | 2.85340e7i | 2.06560 | + | 0.606515i | ||||
\(362\) | −1.01478e6 | + | 145903.i | −0.0213917 | + | 0.00307566i | ||||
\(363\) | −9.02706e6 | + | 1.97665e7i | −0.188724 | + | 0.413247i | ||||
\(364\) | 388303. | + | 55829.5i | 0.00805130 | + | 0.00115760i | ||||
\(365\) | 1.13770e7 | − | 1.77029e7i | 0.233963 | − | 0.364054i | ||||
\(366\) | −3.17887e7 | + | 2.75451e7i | −0.648381 | + | 0.561825i | ||||
\(367\) | − | 2.29605e7i | − | 0.464497i | −0.972656 | − | 0.232249i | \(-0.925392\pi\) | ||
0.972656 | − | 0.232249i | \(-0.0746083\pi\) | |||||||
\(368\) | 4.98873e7 | + | 1.58706e7i | 1.00103 | + | 0.318457i | ||||
\(369\) | −2.35583e7 | −0.468884 | ||||||||
\(370\) | 1.85607e7 | + | 2.14202e7i | 0.366429 | + | 0.422882i | ||||
\(371\) | −783567. | − | 503568.i | −0.0153446 | − | 0.00986135i | ||||
\(372\) | 353768. | − | 2.46051e6i | 0.00687211 | − | 0.0477966i | ||||
\(373\) | −8.86191e7 | − | 4.04710e7i | −1.70766 | − | 0.779861i | −0.997090 | − | 0.0762325i | \(-0.975711\pi\) |
−0.710568 | − | 0.703629i | \(-0.751562\pi\) | |||||||
\(374\) | 4.91623e6 | + | 3.41931e7i | 0.0939760 | + | 0.653618i | ||||
\(375\) | 6.28486e6 | − | 2.14043e7i | 0.119180 | − | 0.405888i | ||||
\(376\) | 2.28854e7 | − | 1.47075e7i | 0.430521 | − | 0.276679i | ||||
\(377\) | 6.53656e6 | + | 1.43131e7i | 0.121990 | + | 0.267121i | ||||
\(378\) | −429374. | − | 1.46231e6i | −0.00794987 | − | 0.0270748i | ||||
\(379\) | 6.87697e7 | + | 5.95892e7i | 1.26322 | + | 1.09459i | 0.991211 | + | 0.132293i | \(0.0422338\pi\) |
0.272010 | + | 0.962294i | \(0.412312\pi\) | |||||||
\(380\) | 1.35308e6 | − | 1.56153e6i | 0.0246588 | − | 0.0284577i | ||||
\(381\) | 2.81120e7 | − | 8.25442e6i | 0.508296 | − | 0.149249i | ||||
\(382\) | 3.95422e7 | − | 1.80583e7i | 0.709367 | − | 0.323957i | ||||
\(383\) | 3.65150e6 | + | 5.68184e6i | 0.0649942 | + | 0.101133i | 0.872230 | − | 0.489097i | \(-0.162674\pi\) |
−0.807235 | + | 0.590230i | \(0.799037\pi\) | |||||||
\(384\) | 3.36388e7 | + | 9.87724e6i | 0.594083 | + | 0.174438i | ||||
\(385\) | 1.48213e6 | − | 213098.i | 0.0259719 | − | 0.00373419i | ||||
\(386\) | 8.69799e6 | − | 1.90460e7i | 0.151237 | − | 0.331162i | ||||
\(387\) | −2.51009e7 | − | 3.60897e6i | −0.433069 | − | 0.0622659i | ||||
\(388\) | −993021. | + | 1.54517e6i | −0.0170006 | + | 0.0264534i | ||||
\(389\) | 4.38990e7 | − | 3.80387e7i | 0.745771 | − | 0.646214i | −0.196715 | − | 0.980461i | \(-0.563027\pi\) |
0.942486 | + | 0.334247i | \(0.108482\pi\) | |||||||
\(390\) | 1.49354e7i | 0.251781i | ||||||||
\(391\) | −8.27076e7 | + | 1.00059e7i | −1.38362 | + | 0.167388i | ||||
\(392\) | −5.73310e7 | −0.951768 | ||||||||
\(393\) | 2.42378e7 | + | 2.79719e7i | 0.399315 | + | 0.460834i | ||||
\(394\) | −6.26995e7 | − | 4.02945e7i | −1.02512 | − | 0.658806i | ||||
\(395\) | −721725. | + | 5.01971e6i | −0.0117106 | + | 0.0814492i | ||||
\(396\) | −463366. | − | 211612.i | −0.00746171 | − | 0.00340765i | ||||
\(397\) | 9.60529e6 | + | 6.68062e7i | 0.153511 | + | 1.06769i | 0.910275 | + | 0.414003i | \(0.135870\pi\) |
−0.756765 | + | 0.653688i | \(0.773221\pi\) | |||||||
\(398\) | 1.51576e7 | − | 5.16221e7i | 0.240426 | − | 0.818816i | ||||
\(399\) | 7.82638e6 | − | 5.02971e6i | 0.123209 | − | 0.0791816i | ||||
\(400\) | −2.35080e7 | − | 5.14754e7i | −0.367313 | − | 0.804303i | ||||
\(401\) | 7.01328e6 | + | 2.38851e7i | 0.108765 | + | 0.370419i | 0.995830 | − | 0.0912246i | \(-0.0290781\pi\) |
−0.887066 | + | 0.461643i | \(0.847260\pi\) | |||||||
\(402\) | −6.61662e6 | − | 5.73333e6i | −0.101849 | − | 0.0882529i | ||||
\(403\) | −7.18284e7 | + | 8.28944e7i | −1.09744 | + | 1.26651i | ||||
\(404\) | −4.23837e6 | + | 1.24450e6i | −0.0642768 | + | 0.0188734i | ||||
\(405\) | 2.67108e6 | − | 1.21984e6i | 0.0402089 | − | 0.0183628i | ||||
\(406\) | −1.45857e6 | − | 2.26958e6i | −0.0217947 | − | 0.0339132i | ||||
\(407\) | 4.09269e7 | + | 1.20172e7i | 0.607052 | + | 0.178246i | ||||
\(408\) | −5.25574e7 | + | 7.55662e6i | −0.773844 | + | 0.111262i | ||||
\(409\) | 2.97101e7 | − | 6.50561e7i | 0.434245 | − | 0.950864i | −0.558374 | − | 0.829589i | \(-0.688575\pi\) |
0.992619 | − | 0.121275i | \(-0.0386982\pi\) | |||||||
\(410\) | −3.91806e7 | − | 5.63332e6i | −0.568486 | − | 0.0817359i | ||||
\(411\) | −1.49061e7 | + | 2.31944e7i | −0.214704 | + | 0.334085i | ||||
\(412\) | −4.16146e6 | + | 3.60593e6i | −0.0595051 | + | 0.0515615i | ||||
\(413\) | − | 1.47268e7i | − | 0.209054i | ||||||
\(414\) | 1.05763e7 | − | 2.18497e7i | 0.149051 | − | 0.307925i | ||||
\(415\) | −2.11725e7 | −0.296229 | ||||||||
\(416\) | 5.36272e6 | + | 6.18891e6i | 0.0744913 | + | 0.0859675i | ||||
\(417\) | −1.58378e6 | − | 1.01784e6i | −0.0218418 | − | 0.0140369i | ||||
\(418\) | 8.74428e6 | − | 6.08178e7i | 0.119728 | − | 0.832725i | ||||
\(419\) | 2.70036e7 | + | 1.23321e7i | 0.367096 | + | 0.167647i | 0.590418 | − | 0.807097i | \(-0.298963\pi\) |
−0.223322 | + | 0.974745i | \(0.571690\pi\) | |||||||
\(420\) | −18443.3 | − | 128276.i | −0.000248938 | − | 0.00173140i | ||||
\(421\) | −7.57553e6 | + | 2.57999e7i | −0.101524 | + | 0.345757i | −0.994552 | − | 0.104243i | \(-0.966758\pi\) |
0.893028 | + | 0.450000i | \(0.148576\pi\) | |||||||
\(422\) | 3.79998e7 | − | 2.44210e7i | 0.505644 | − | 0.324957i | ||||
\(423\) | −5.52029e6 | − | 1.20878e7i | −0.0729359 | − | 0.159707i | ||||
\(424\) | −2.66392e6 | − | 9.07248e6i | −0.0349481 | − | 0.119022i | ||||
\(425\) | 6.80594e7 | + | 5.89738e7i | 0.886587 | + | 0.768232i | ||||
\(426\) | −8.86630e6 | + | 1.02323e7i | −0.114687 | + | 0.132356i | ||||
\(427\) | −1.54521e7 | + | 4.53716e6i | −0.198475 | + | 0.0582774i | ||||
\(428\) | −6.83378e6 | + | 3.12088e6i | −0.0871625 | + | 0.0398058i | ||||
\(429\) | 1.21519e7 | + | 1.89088e7i | 0.153913 | + | 0.239493i | ||||
\(430\) | −4.08832e7 | − | 1.20044e7i | −0.514209 | − | 0.150985i | ||||
\(431\) | −1.14751e8 | + | 1.64987e7i | −1.43326 | + | 0.206072i | −0.814800 | − | 0.579742i | \(-0.803153\pi\) |
−0.618463 | + | 0.785814i | \(0.712244\pi\) | |||||||
\(432\) | 6.77069e6 | − | 1.48257e7i | 0.0839811 | − | 0.183893i | ||||
\(433\) | 5.16021e6 | + | 741926.i | 0.0635629 | + | 0.00913897i | 0.174023 | − | 0.984742i | \(-0.444323\pi\) |
−0.110460 | + | 0.993881i | \(0.535232\pi\) | |||||||
\(434\) | 1.01674e7 | − | 1.58207e7i | 0.124377 | − | 0.193534i | ||||
\(435\) | 3.92845e6 | − | 3.40402e6i | 0.0477258 | − | 0.0413546i | ||||
\(436\) | − | 1.46189e6i | − | 0.0176382i | ||||||
\(437\) | 1.46164e8 | + | 2.43691e7i | 1.75144 | + | 0.292008i | ||||
\(438\) | −5.41599e7 | −0.644549 | ||||||||
\(439\) | 2.28971e7 | + | 2.64247e7i | 0.270637 | + | 0.312332i | 0.874757 | − | 0.484562i | \(-0.161021\pi\) |
−0.604120 | + | 0.796893i | \(0.706475\pi\) | |||||||
\(440\) | 1.27876e7 | + | 8.21812e6i | 0.150118 | + | 0.0964749i | ||||
\(441\) | −3.98555e6 | + | 2.77201e7i | −0.0464700 | + | 0.323206i | ||||
\(442\) | −1.20002e8 | − | 5.48029e7i | −1.38970 | − | 0.634653i | ||||
\(443\) | −1.78122e7 | − | 1.23887e8i | −0.204884 | − | 1.42500i | −0.789532 | − | 0.613710i | \(-0.789677\pi\) |
0.584648 | − | 0.811287i | \(-0.301233\pi\) | |||||||
\(444\) | 1.04008e6 | − | 3.54217e6i | 0.0118827 | − | 0.0404688i | ||||
\(445\) | −3.16882e7 | + | 2.03647e7i | −0.359598 | + | 0.231099i | ||||
\(446\) | 1.44440e7 | + | 3.16280e7i | 0.162811 | + | 0.356506i | ||||
\(447\) | −7.62411e6 | − | 2.59653e7i | −0.0853624 | − | 0.290718i | ||||
\(448\) | 9.13702e6 | + | 7.91727e6i | 0.101618 | + | 0.0880524i | ||||
\(449\) | 3.70757e7 | − | 4.27876e7i | 0.409591 | − | 0.472693i | −0.513047 | − | 0.858361i | \(-0.671483\pi\) |
0.922638 | + | 0.385668i | \(0.126029\pi\) | |||||||
\(450\) | −2.51772e7 | + | 7.39271e6i | −0.276293 | + | 0.0811271i | ||||
\(451\) | −5.41877e7 | + | 2.47467e7i | −0.590706 | + | 0.269766i | ||||
\(452\) | −1.64262e6 | − | 2.55597e6i | −0.0177878 | − | 0.0276784i | ||||
\(453\) | 9.42807e6 | + | 2.76833e6i | 0.101421 | + | 0.0297799i | ||||
\(454\) | −1.63193e8 | + | 2.34636e7i | −1.74395 | + | 0.250742i | ||||
\(455\) | −2.37547e6 | + | 5.20156e6i | −0.0252183 | + | 0.0552204i | ||||
\(456\) | 9.34816e7 | + | 1.34406e7i | 0.985897 | + | 0.141751i | ||||
\(457\) | 2.08694e7 | − | 3.24734e7i | 0.218656 | − | 0.340235i | −0.714546 | − | 0.699589i | \(-0.753367\pi\) |
0.933201 | + | 0.359354i | \(0.117003\pi\) | |||||||
\(458\) | −7.19879e7 | + | 6.23779e7i | −0.749313 | + | 0.649283i | ||||
\(459\) | 2.59374e7i | 0.268218i | ||||||||
\(460\) | 1.15460e6 | − | 1.71106e6i | 0.0118620 | − | 0.0175789i | ||||
\(461\) | −1.69673e7 | −0.173185 | −0.0865927 | − | 0.996244i | \(-0.527598\pi\) | ||||
−0.0865927 | + | 0.996244i | \(0.527598\pi\) | |||||||
\(462\) | −2.52370e6 | − | 2.91251e6i | −0.0255925 | − | 0.0295353i | ||||
\(463\) | −2.86714e7 | − | 1.84260e7i | −0.288873 | − | 0.185647i | 0.388176 | − | 0.921585i | \(-0.373105\pi\) |
−0.677049 | + | 0.735938i | \(0.736742\pi\) | |||||||
\(464\) | 4.10603e6 | − | 2.85580e7i | 0.0411025 | − | 0.285874i | ||||
\(465\) | 3.29601e7 | + | 1.50524e7i | 0.327816 | + | 0.149708i | ||||
\(466\) | −2.21272e7 | − | 1.53898e8i | −0.218659 | − | 1.52081i | ||||
\(467\) | −8.58162e6 | + | 2.92263e7i | −0.0842595 | + | 0.286961i | −0.990834 | − | 0.135084i | \(-0.956870\pi\) |
0.906575 | + | 0.422045i | \(0.138688\pi\) | |||||||
\(468\) | 1.63653e6 | − | 1.05174e6i | 0.0159657 | − | 0.0102605i | ||||
\(469\) | −1.39249e6 | − | 3.04913e6i | −0.0134981 | − | 0.0295568i | ||||
\(470\) | −6.29053e6 | − | 2.14236e7i | −0.0605890 | − | 0.206347i | ||||
\(471\) | 3.67957e7 | + | 3.18836e7i | 0.352155 | + | 0.305144i | ||||
\(472\) | 9.79020e7 | − | 1.12985e8i | 0.931034 | − | 1.07447i | ||||
\(473\) | −6.15270e7 | + | 1.80660e7i | −0.581410 | + | 0.170717i | ||||
\(474\) | 1.18727e7 | − | 5.42206e6i | 0.111484 | − | 0.0509131i | ||||
\(475\) | −8.65986e7 | − | 1.34750e8i | −0.808035 | − | 1.25733i | ||||
\(476\) | 1.09834e6 | + | 322501.i | 0.0101839 | + | 0.00299027i | ||||
\(477\) | −4.57184e6 | + | 657331.i | −0.0421246 | + | 0.00605660i | ||||
\(478\) | −4.33238e7 | + | 9.48660e7i | −0.396683 | + | 0.868614i | ||||
\(479\) | 1.39180e7 | + | 2.00111e6i | 0.126640 | + | 0.0182081i | 0.205343 | − | 0.978690i | \(-0.434169\pi\) |
−0.0787032 | + | 0.996898i | \(0.525078\pi\) | |||||||
\(480\) | 1.46258e6 | − | 2.27583e6i | 0.0132250 | − | 0.0205786i | ||||
\(481\) | −1.23108e8 | + | 1.06673e8i | −1.10624 | + | 0.958562i | ||||
\(482\) | 1.87368e7i | 0.167322i | ||||||||
\(483\) | 7.15863e6 | − | 5.92747e6i | 0.0635314 | − | 0.0526051i | ||||
\(484\) | 4.75571e6 | 0.0419449 | ||||||||
\(485\) | −1.75329e7 | − | 2.02340e7i | −0.153684 | − | 0.177361i | ||||
\(486\) | −6.35784e6 | − | 4.08594e6i | −0.0553861 | − | 0.0355945i | ||||
\(487\) | −3.09096e7 | + | 2.14981e8i | −0.267613 | + | 1.86129i | 0.203314 | + | 0.979114i | \(0.434829\pi\) |
−0.470926 | + | 0.882173i | \(0.656080\pi\) | |||||||
\(488\) | −1.48713e8 | − | 6.79148e7i | −1.27964 | − | 0.584393i | ||||
\(489\) | 1.41124e7 | + | 9.81542e7i | 0.120691 | + | 0.839426i | ||||
\(490\) | −1.32570e7 | + | 4.51493e7i | −0.112683 | + | 0.383762i | ||||
\(491\) | 1.47090e8 | − | 9.45288e7i | 1.24262 | − | 0.798582i | 0.256810 | − | 0.966462i | \(-0.417328\pi\) |
0.985807 | + | 0.167880i | \(0.0536921\pi\) | |||||||
\(492\) | 2.14180e6 | + | 4.68988e6i | 0.0179839 | + | 0.0393791i | ||||
\(493\) | 1.29355e7 | + | 4.40544e7i | 0.107955 | + | 0.367662i | ||||
\(494\) | 1.77334e8 | + | 1.53660e8i | 1.47099 | + | 1.27462i | ||||
\(495\) | 4.86252e6 | − | 5.61165e6i | 0.0400909 | − | 0.0462674i | ||||
\(496\) | 1.92972e8 | − | 5.66616e7i | 1.58143 | − | 0.464348i | ||||
\(497\) | −4.71532e6 | + | 2.15341e6i | −0.0384098 | + | 0.0175412i | ||||
\(498\) | 2.94606e7 | + | 4.58416e7i | 0.238536 | + | 0.371169i | ||||
\(499\) | 4.71548e7 | + | 1.38459e7i | 0.379511 | + | 0.111434i | 0.465924 | − | 0.884825i | \(-0.345722\pi\) |
−0.0864126 | + | 0.996259i | \(0.527540\pi\) | |||||||
\(500\) | −4.83245e6 | + | 694801.i | −0.0386596 | + | 0.00555841i | ||||
\(501\) | 5.20480e7 | − | 1.13969e8i | 0.413896 | − | 0.906306i | ||||
\(502\) | 3.46633e7 | + | 4.98382e6i | 0.274005 | + | 0.0393960i | ||||
\(503\) | −9.06661e7 | + | 1.41079e8i | −0.712428 | + | 1.10856i | 0.276622 | + | 0.960979i | \(0.410785\pi\) |
−0.989050 | + | 0.147580i | \(0.952851\pi\) | |||||||
\(504\) | 4.47675e6 | − | 3.87913e6i | 0.0349681 | − | 0.0303000i | ||||
\(505\) | − | 6.43889e7i | − | 0.499962i | ||||||
\(506\) | 1.37522e6 | − | 6.13676e7i | 0.0106150 | − | 0.473683i | ||||
\(507\) | −1.05949e7 | −0.0812968 | ||||||||
\(508\) | −4.19904e6 | − | 4.84595e6i | −0.0320301 | − | 0.0369648i | ||||
\(509\) | −6.83845e7 | − | 4.39481e7i | −0.518567 | − | 0.333263i | 0.255038 | − | 0.966931i | \(-0.417912\pi\) |
−0.773605 | + | 0.633668i | \(0.781548\pi\) | |||||||
\(510\) | −6.20222e6 | + | 4.31374e7i | −0.0467559 | + | 0.325195i | ||||
\(511\) | −1.88623e7 | − | 8.61414e6i | −0.141362 | − | 0.0645579i | ||||
\(512\) | 1.73583e7 | + | 1.20730e8i | 0.129329 | + | 0.899505i | ||||
\(513\) | 1.29974e7 | − | 4.42650e7i | 0.0962728 | − | 0.327875i | ||||
\(514\) | 2.22819e7 | − | 1.43197e7i | 0.164083 | − | 0.105450i | ||||
\(515\) | −3.33430e7 | − | 7.30110e7i | −0.244109 | − | 0.534523i | ||||
\(516\) | 1.56359e6 | + | 5.32508e6i | 0.0113808 | + | 0.0387594i | ||||
\(517\) | −2.53950e7 | − | 2.20049e7i | −0.183771 | − | 0.159239i | ||||
\(518\) | 1.82898e7 | − | 2.11075e7i | 0.131589 | − | 0.151862i | ||||
\(519\) | −3.55404e6 | + | 1.04356e6i | −0.0254226 | + | 0.00746476i | ||||
\(520\) | −5.28042e7 | + | 2.41149e7i | −0.375542 | + | 0.171504i | ||||
\(521\) | 1.16629e8 | + | 1.81479e8i | 0.824699 | + | 1.28326i | 0.956427 | + | 0.291970i | \(0.0943108\pi\) |
−0.131729 | + | 0.991286i | \(0.542053\pi\) | |||||||
\(522\) | −1.28365e7 | − | 3.76913e6i | −0.0902473 | − | 0.0264990i | ||||
\(523\) | −8.62375e7 | + | 1.23991e7i | −0.602825 | + | 0.0866731i | −0.436968 | − | 0.899477i | \(-0.643948\pi\) |
−0.165856 | + | 0.986150i | \(0.553039\pi\) | |||||||
\(524\) | 3.36494e6 | − | 7.36820e6i | 0.0233875 | − | 0.0512115i | ||||
\(525\) | −9.94431e6 | − | 1.42978e6i | −0.0687222 | − | 0.00988076i | ||||
\(526\) | −4.84944e7 | + | 7.54587e7i | −0.333222 | + | 0.518504i | ||||
\(527\) | −2.41883e8 | + | 2.09593e8i | −1.65262 | + | 1.43201i | ||||
\(528\) | − | 4.12137e7i | − | 0.279988i | ||||||
\(529\) | 1.47887e8 | + | 6.63149e6i | 0.998996 | + | 0.0447965i | ||||
\(530\) | −7.76076e6 | −0.0521286 | ||||||||
\(531\) | −4.78235e7 | − | 5.51912e7i | −0.319417 | − | 0.368626i | ||||
\(532\) | −1.71282e6 | − | 1.10077e6i | −0.0113757 | − | 0.00731072i | ||||
\(533\) | 3.23761e7 | − | 2.25181e8i | 0.213817 | − | 1.48713i | ||||
\(534\) | 8.81855e7 | + | 4.02729e7i | 0.579126 | + | 0.264478i | ||||
\(535\) | −1.55848e7 | − | 1.08394e8i | −0.101774 | − | 0.707857i | ||||
\(536\) | 9.58698e6 | − | 3.26502e7i | 0.0622569 | − | 0.212027i | ||||
\(537\) | 4.64270e7 | − | 2.98368e7i | 0.299811 | − | 0.192677i | ||||
\(538\) | −5.35141e7 | − | 1.17180e8i | −0.343654 | − | 0.752498i | ||||
\(539\) | 1.99511e7 | + | 6.79472e7i | 0.127409 | + | 0.433915i | ||||
\(540\) | −485681. | − | 420845.i | −0.00308440 | − | 0.00267264i | ||||
\(541\) | 7.64340e7 | − | 8.82095e7i | 0.482719 | − | 0.557088i | −0.461186 | − | 0.887303i | \(-0.652576\pi\) |
0.943906 | + | 0.330215i | \(0.107121\pi\) | |||||||
\(542\) | 3.05706e8 | − | 8.97633e7i | 1.92002 | − | 0.563769i | ||||
\(543\) | −1.77058e6 | + | 808598.i | −0.0110590 | + | 0.00505049i | ||||
\(544\) | 1.29189e7 | + | 2.01022e7i | 0.0802471 | + | 0.124867i | ||||
\(545\) | 2.04461e7 | + | 6.00351e6i | 0.126305 | + | 0.0370865i | ||||
\(546\) | 1.45675e7 | − | 2.09449e6i | 0.0894969 | − | 0.0128677i | ||||
\(547\) | 6.79128e7 | − | 1.48708e8i | 0.414944 | − | 0.908601i | −0.580590 | − | 0.814196i | \(-0.697178\pi\) |
0.995534 | − | 0.0944048i | \(-0.0300948\pi\) | |||||||
\(548\) | 5.97262e6 | + | 858732.i | 0.0362930 | + | 0.00521815i | ||||
\(549\) | −4.31758e7 | + | 6.71828e7i | −0.260929 | + | 0.406014i | ||||
\(550\) | −5.01459e7 | + | 4.34516e7i | −0.301403 | + | 0.261167i | ||||
\(551\) | − | 8.16657e7i | − | 0.488185i | ||||||
\(552\) | 9.43267e7 | + | 2.11381e6i | 0.560812 | + | 0.0125675i | ||||
\(553\) | 4.99728e6 | 0.0295501 | ||||||||
\(554\) | 1.73449e8 | + | 2.00170e8i | 1.02010 | + | 1.17725i | ||||
\(555\) | 4.52699e7 | + | 2.90932e7i | 0.264808 | + | 0.170181i | ||||
\(556\) | −58636.9 | + | 407829.i | −0.000341151 | + | 0.00237276i | ||||
\(557\) | 2.63139e8 | + | 1.20172e8i | 1.52272 | + | 0.695402i | 0.988677 | − | 0.150057i | \(-0.0479456\pi\) |
0.534041 | + | 0.845459i | \(0.320673\pi\) | |||||||
\(558\) | −1.32719e7 | − | 9.23083e7i | −0.0763892 | − | 0.531298i | ||||
\(559\) | 6.89923e7 | − | 2.34966e8i | 0.394971 | − | 1.34515i | ||||
\(560\) | 8.82063e6 | − | 5.66867e6i | 0.0502268 | − | 0.0322788i | ||||
\(561\) | 2.72458e7 | + | 5.96600e7i | 0.154316 | + | 0.337905i | ||||
\(562\) | 4.60993e7 | + | 1.57000e8i | 0.259708 | + | 0.884484i | ||||
\(563\) | −1.02371e8 | − | 8.87048e7i | −0.573655 | − | 0.497075i | 0.319037 | − | 0.947742i | \(-0.396641\pi\) |
−0.892692 | + | 0.450667i | \(0.851186\pi\) | |||||||
\(564\) | −1.90450e6 | + | 2.19791e6i | −0.0106156 | + | 0.0122510i | ||||
\(565\) | 4.24938e7 | − | 1.24773e7i | 0.235602 | − | 0.0691791i | ||||
\(566\) | −2.75117e8 | + | 1.25642e8i | −1.51729 | + | 0.692922i | ||||
\(567\) | −1.56438e6 | − | 2.43423e6i | −0.00858211 | − | 0.0133540i | ||||
\(568\) | −5.04919e7 | − | 1.48258e7i | −0.275535 | − | 0.0809044i | ||||
\(569\) | −8.10551e7 | + | 1.16540e7i | −0.439991 | + | 0.0632611i | −0.358751 | − | 0.933433i | \(-0.616797\pi\) |
−0.0812402 | + | 0.996695i | \(0.525888\pi\) | |||||||
\(570\) | 3.22011e7 | − | 7.05106e7i | 0.173879 | − | 0.380741i | ||||
\(571\) | −1.12488e8 | − | 1.61733e7i | −0.604222 | − | 0.0868740i | −0.166587 | − | 0.986027i | \(-0.553275\pi\) |
−0.437635 | + | 0.899153i | \(0.644184\pi\) | |||||||
\(572\) | 2.65949e6 | − | 4.13824e6i | 0.0142105 | − | 0.0221120i | ||||
\(573\) | 6.23748e7 | − | 5.40480e7i | 0.331547 | − | 0.287287i | ||||
\(574\) | 3.90056e7i | 0.206249i | ||||||||
\(575\) | −1.02056e8 | − | 1.23253e8i | −0.536826 | − | 0.648327i | ||||
\(576\) | 5.99530e7 | 0.313721 | ||||||||
\(577\) | 1.84395e8 | + | 2.12804e8i | 0.959893 | + | 1.10778i | 0.994112 | + | 0.108361i | \(0.0345602\pi\) |
−0.0342189 | + | 0.999414i | \(0.510894\pi\) | |||||||
\(578\) | −1.57119e8 | − | 1.00974e8i | −0.813662 | − | 0.522909i | ||||
\(579\) | 5.65748e6 | − | 3.93486e7i | 0.0291466 | − | 0.202719i | ||||
\(580\) | −1.03481e6 | − | 472581.i | −0.00530367 | − | 0.00242210i | ||||
\(581\) | 2.96917e6 | + | 2.06510e7i | 0.0151393 | + | 0.105296i | ||||
\(582\) | −1.94134e7 | + | 6.61161e7i | −0.0984767 | + | 0.335381i | ||||
\(583\) | −9.82543e6 | + | 6.31442e6i | −0.0495845 | + | 0.0318660i | ||||
\(584\) | −8.74474e7 | − | 1.91483e8i | −0.439044 | − | 0.961373i | ||||
\(585\) | 7.98894e6 | + | 2.72078e7i | 0.0399045 | + | 0.135902i | ||||
\(586\) | 2.48140e8 | + | 2.15015e8i | 1.23312 | + | 1.06850i | ||||
\(587\) | −4.72359e7 | + | 5.45132e7i | −0.233538 | + | 0.269518i | −0.860407 | − | 0.509607i | \(-0.829791\pi\) |
0.626869 | + | 0.779125i | \(0.284336\pi\) | |||||||
\(588\) | 5.88074e6 | − | 1.72674e6i | 0.0289268 | − | 0.00849367i | ||||
\(589\) | 5.17828e8 | − | 2.36484e8i | 2.53419 | − | 1.15733i | ||||
\(590\) | −6.63394e7 | − | 1.03226e8i | −0.323009 | − | 0.502613i | ||||
\(591\) | −1.35773e8 | − | 3.98667e7i | −0.657737 | − | 0.193129i | ||||
\(592\) | 2.95643e8 | − | 4.25071e7i | 1.42496 | − | 0.204878i | ||||
\(593\) | 1.09279e8 | − | 2.39287e8i | 0.524048 | − | 1.14750i | −0.443836 | − | 0.896108i | \(-0.646383\pi\) |
0.967884 | − | 0.251397i | \(-0.0808899\pi\) | |||||||
\(594\) | −1.89161e7 | − | 2.71972e6i | −0.0902550 | − | 0.0129767i | ||||
\(595\) | −9.02105e6 | + | 1.40370e7i | −0.0428259 | + | 0.0666384i | ||||
\(596\) | −4.47591e6 | + | 3.87840e6i | −0.0211419 | + | 0.0183195i | ||||
\(597\) | − | 1.02148e8i | − | 0.480073i | ||||||
\(598\) | 1.94315e8 | + | 1.31121e8i | 0.908661 | + | 0.613154i | ||||
\(599\) | −1.78073e8 | −0.828546 | −0.414273 | − | 0.910153i | \(-0.635964\pi\) | ||||
−0.414273 | + | 0.910153i | \(0.635964\pi\) | |||||||
\(600\) | −6.67885e7 | − | 7.70781e7i | −0.309206 | − | 0.356843i | ||||
\(601\) | −1.22480e8 | − | 7.87129e7i | −0.564210 | − | 0.362596i | 0.227232 | − | 0.973841i | \(-0.427033\pi\) |
−0.791441 | + | 0.611245i | \(0.790669\pi\) | |||||||
\(602\) | −5.97539e6 | + | 4.15597e7i | −0.0273890 | + | 0.190495i | ||||
\(603\) | −1.51203e7 | − | 6.90520e6i | −0.0689617 | − | 0.0314937i | ||||
\(604\) | −306043. | − | 2.12858e6i | −0.00138890 | − | 0.00966003i | ||||
\(605\) | −1.95302e7 | + | 6.65138e7i | −0.0881944 | + | 0.300363i | ||||
\(606\) | −1.39412e8 | + | 8.95944e7i | −0.626443 | + | 0.402590i | ||||
\(607\) | −4.81025e7 | − | 1.05330e8i | −0.215081 | − | 0.470961i | 0.771083 | − | 0.636734i | \(-0.219715\pi\) |
−0.986164 | + | 0.165773i | \(0.946988\pi\) | |||||||
\(608\) | −1.19742e7 | − | 4.07803e7i | −0.0532764 | − | 0.181443i | ||||
\(609\) | −3.87109e6 | − | 3.35432e6i | −0.0171388 | − | 0.0148509i | ||||
\(610\) | −8.78720e7 | + | 1.01410e8i | −0.387134 | + | 0.446776i | ||||
\(611\) | 1.23127e8 | − | 3.61533e7i | 0.539795 | − | 0.158498i | ||||
\(612\) | 5.16350e6 | − | 2.35809e6i | 0.0225263 | − | 0.0102874i | ||||
\(613\) | −1.76808e8 | − | 2.75119e8i | −0.767575 | − | 1.19437i | −0.976305 | − | 0.216397i | \(-0.930569\pi\) |
0.208730 | − | 0.977973i | \(-0.433067\pi\) | |||||||
\(614\) | −1.58786e8 | − | 4.66236e7i | −0.685971 | − | 0.201419i | ||||
\(615\) | −7.43887e7 | + | 1.06955e7i | −0.319802 | + | 0.0459807i | ||||
\(616\) | 6.22240e6 | − | 1.36252e7i | 0.0266205 | − | 0.0582907i | ||||
\(617\) | 1.21705e8 | + | 1.74985e7i | 0.518145 | + | 0.0744980i | 0.396426 | − | 0.918067i | \(-0.370250\pi\) |
0.121719 | + | 0.992565i | \(0.461159\pi\) | |||||||
\(618\) | −1.11684e8 | + | 1.73784e8i | −0.473181 | + | 0.736284i | ||||
\(619\) | −2.20970e8 | + | 1.91472e8i | −0.931670 | + | 0.807297i | −0.981500 | − | 0.191461i | \(-0.938678\pi\) |
0.0498298 | + | 0.998758i | \(0.484132\pi\) | |||||||
\(620\) | − | 7.93003e6i | − | 0.0332736i | ||||||
\(621\) | 7.57949e6 | − | 4.54610e7i | 0.0316494 | − | 0.189830i | ||||
\(622\) | −4.19676e8 | −1.74399 | ||||||||
\(623\) | 2.43070e7 | + | 2.80518e7i | 0.100524 | + | 0.116010i | ||||
\(624\) | 1.32406e8 | + | 8.50922e7i | 0.544947 | + | 0.350216i | ||||
\(625\) | −1.91180e7 | + | 1.32968e8i | −0.0783072 | + | 0.544639i | ||||
\(626\) | 1.69764e8 | + | 7.75286e7i | 0.692026 | + | 0.316038i | ||||
\(627\) | −1.66020e7 | − | 1.15469e8i | −0.0673530 | − | 0.468451i | ||||
\(628\) | 3.00198e6 | − | 1.02238e7i | 0.0121207 | − | 0.0412794i | ||||
\(629\) | −3.99866e8 | + | 2.56978e8i | −1.60680 | + | 1.03263i | ||||
\(630\) | −2.01970e6 | − | 4.42253e6i | −0.00807728 | − | 0.0176868i | ||||
\(631\) | 2.76196e7 | + | 9.40638e7i | 0.109933 | + | 0.374399i | 0.996021 | − | 0.0891191i | \(-0.0284052\pi\) |
−0.886088 | + | 0.463518i | \(0.846587\pi\) | |||||||
\(632\) | 3.83395e7 | + | 3.32214e7i | 0.151878 | + | 0.131603i | ||||
\(633\) | 5.61616e7 | − | 6.48140e7i | 0.221426 | − | 0.255539i | ||||
\(634\) | −2.59118e8 | + | 7.60838e7i | −1.01678 | + | 0.298555i | ||||
\(635\) | 8.50200e7 | − | 3.88273e7i | 0.332047 | − | 0.151641i | ||||
\(636\) | 546505. | + | 850379.i | 0.00212433 | + | 0.00330553i | ||||
\(637\) | −2.59484e8 | − | 7.61914e7i | −1.00390 | − | 0.294773i | ||||
\(638\) | −3.34851e7 | + | 4.81443e6i | −0.128941 | + | 0.0185389i | ||||
\(639\) | −1.06785e7 | + | 2.33827e7i | −0.0409269 | + | 0.0896174i | ||||
\(640\) | 1.10704e8 | + | 1.59168e7i | 0.422301 | + | 0.0607177i | ||||
\(641\) | −1.12474e8 | + | 1.75013e8i | −0.427049 | + | 0.664502i | −0.986387 | − | 0.164438i | \(-0.947419\pi\) |
0.559338 | + | 0.828940i | \(0.311055\pi\) | |||||||
\(642\) | −2.13004e8 | + | 1.84569e8i | −0.804977 | + | 0.697517i | ||||
\(643\) | 3.60625e8i | 1.35651i | 0.734827 | + | 0.678255i | \(0.237264\pi\) | ||||
−0.734827 | + | 0.678255i | \(0.762736\pi\) | |||||||
\(644\) | −1.83084e6 | − | 886213.i | −0.00685475 | − | 0.00331803i | ||||
\(645\) | −8.08983e7 | −0.301481 | ||||||||
\(646\) | 4.48376e8 | + | 5.17454e8i | 1.66320 | + | 1.91944i | ||||
\(647\) | 1.99153e8 | + | 1.27988e8i | 0.735315 | + | 0.472559i | 0.853934 | − | 0.520381i | \(-0.174210\pi\) |
−0.118619 | + | 0.992940i | \(0.537847\pi\) | |||||||
\(648\) | 4.18042e6 | − | 2.90754e7i | 0.0153637 | − | 0.106857i | ||||
\(649\) | −1.67977e8 | − | 7.67123e7i | −0.614490 | − | 0.280628i | ||||
\(650\) | −3.60618e7 | − | 2.50815e8i | −0.131313 | − | 0.913300i | ||||
\(651\) | 1.00594e7 | − | 3.42592e7i | 0.0364611 | − | 0.124175i | ||||
\(652\) | 1.82570e7 | − | 1.17331e7i | 0.0658700 | − | 0.0423321i | ||||
\(653\) | −8.90224e7 | − | 1.94932e8i | −0.319713 | − | 0.700073i | 0.679730 | − | 0.733463i | \(-0.262097\pi\) |
−0.999442 | + | 0.0333895i | \(0.989370\pi\) | |||||||
\(654\) | −1.54514e7 | − | 5.26225e7i | −0.0552374 | − | 0.188121i | ||||
\(655\) | 8.92335e7 | + | 7.73213e7i | 0.317544 | + | 0.275154i | ||||
\(656\) | −2.73167e8 | + | 3.15251e8i | −0.967646 | + | 1.11672i | ||||
\(657\) | −9.86633e7 | + | 2.89702e7i | −0.347904 | + | 0.102154i | ||||
\(658\) | −2.00138e7 | + | 9.13998e6i | −0.0702508 | + | 0.0320824i | ||||
\(659\) | −2.02033e8 | − | 3.14369e8i | −0.705937 | − | 1.09846i | −0.990192 | − | 0.139711i | \(-0.955383\pi\) |
0.284255 | − | 0.958749i | \(-0.408254\pi\) | |||||||
\(660\) | −1.55922e6 | − | 457827.i | −0.00542343 | − | 0.00159246i | ||||
\(661\) | 1.29884e7 | − | 1.86746e6i | 0.0449731 | − | 0.00646615i | −0.119792 | − | 0.992799i | \(-0.538223\pi\) |
0.164765 | + | 0.986333i | \(0.447314\pi\) | |||||||
\(662\) | −7.89796e6 | + | 1.72941e7i | −0.0272233 | + | 0.0596108i | ||||
\(663\) | −2.47921e8 | − | 3.56457e7i | −0.850694 | − | 0.122311i | ||||
\(664\) | −1.14506e8 | + | 1.78175e8i | −0.391133 | + | 0.608614i | ||||
\(665\) | 2.24294e7 | − | 1.94352e7i | 0.0762699 | − | 0.0660883i | ||||
\(666\) | − | 1.38498e8i | − | 0.468836i | ||||||
\(667\) | −9.79871e6 | − | 8.09951e7i | −0.0330211 | − | 0.272949i | ||||
\(668\) | −2.74204e7 | −0.0919908 | ||||||||
\(669\) | 4.32305e7 | + | 4.98907e7i | 0.144382 | + | 0.166625i | ||||
\(670\) | −2.34959e7 | − | 1.50999e7i | −0.0781208 | − | 0.0502052i | ||||
\(671\) | −2.87390e7 | + | 1.99884e8i | −0.0951272 | + | 0.661624i | ||||
\(672\) | −2.42488e6 | − | 1.10741e6i | −0.00799066 | − | 0.00364921i | ||||
\(673\) | −2.42695e7 | − | 1.68798e8i | −0.0796189 | − | 0.553762i | −0.990117 | − | 0.140247i | \(-0.955210\pi\) |
0.910498 | − | 0.413514i | \(-0.135699\pi\) | |||||||
\(674\) | 9.95423e7 | − | 3.39010e8i | 0.325108 | − | 1.10722i | ||||
\(675\) | −4.19111e7 | + | 2.69346e7i | −0.136276 | + | 0.0875790i | ||||
\(676\) | 963232. | + | 2.10918e6i | 0.00311811 | + | 0.00682770i | ||||
\(677\) | 4.77017e7 | + | 1.62457e8i | 0.153733 | + | 0.523567i | 0.999957 | − | 0.00926012i | \(-0.00294763\pi\) |
−0.846224 | + | 0.532828i | \(0.821129\pi\) | |||||||
\(678\) | −8.61435e7 | − | 7.46437e7i | −0.276397 | − | 0.239499i | ||||
\(679\) | −1.72769e7 | + | 1.99386e7i | −0.0551895 | + | 0.0636921i | ||||
\(680\) | −1.62527e8 | + | 4.77222e7i | −0.516890 | + | 0.151773i | ||||
\(681\) | −2.84738e8 | + | 1.30036e8i | −0.901581 | + | 0.411738i | ||||
\(682\) | −1.27492e8 | − | 1.98382e8i | −0.401912 | − | 0.625387i | ||||
\(683\) | 6.71011e7 | + | 1.97027e7i | 0.210605 | + | 0.0618391i | 0.385333 | − | 0.922778i | \(-0.374087\pi\) |
−0.174728 | + | 0.984617i | \(0.555905\pi\) | |||||||
\(684\) | −9.99372e6 | + | 1.43688e6i | −0.0312291 | + | 0.00449006i | ||||
\(685\) | −3.65380e7 | + | 8.00070e7i | −0.113677 | + | 0.248918i | ||||
\(686\) | 9.27490e7 | + | 1.33353e7i | 0.287301 | + | 0.0413076i | ||||
\(687\) | −9.77746e7 | + | 1.52140e8i | −0.301548 | + | 0.469217i | ||||
\(688\) | −3.39348e8 | + | 2.94047e8i | −1.04203 | + | 0.902925i | ||||
\(689\) | − | 4.46030e7i | − | 0.136366i | ||||||
\(690\) | 2.34765e7 | − | 7.37953e7i | 0.0714637 | − | 0.224637i | ||||
\(691\) | 4.31407e8 | 1.30753 | 0.653767 | − | 0.756696i | \(-0.273188\pi\) | ||||
0.653767 | + | 0.756696i | \(0.273188\pi\) | |||||||
\(692\) | 530861. | + | 612647.i | 0.00160200 | + | 0.00184881i | ||||
\(693\) | −6.15534e6 | − | 3.95580e6i | −0.0184949 | − | 0.0118860i | ||||
\(694\) | 3.47702e6 | − | 2.41832e7i | 0.0104023 | − | 0.0723495i | ||||
\(695\) | −5.46312e6 | − | 2.49493e6i | −0.0162737 | − | 0.00743196i | ||||
\(696\) | −7.40015e6 | − | 5.14692e7i | −0.0219489 | − | 0.152658i | ||||
\(697\) | 1.87022e8 | − | 6.36938e8i | 0.552324 | − | 1.88104i | ||||
\(698\) | 4.64536e8 | − | 2.98539e8i | 1.36601 | − | 0.877880i | ||||
\(699\) | −1.22629e8 | − | 2.68520e8i | −0.359056 | − | 0.786223i | ||||
\(700\) | 619451. | + | 2.10965e6i | 0.00180598 | + | 0.00615060i | ||||
\(701\) | 3.08046e8 | + | 2.66923e8i | 0.894254 | + | 0.774875i | 0.975080 | − | 0.221853i | \(-0.0712104\pi\) |
−0.0808262 | + | 0.996728i | \(0.525756\pi\) | |||||||
\(702\) | 4.77928e7 | − | 5.51558e7i | 0.138150 | − | 0.159434i | ||||
\(703\) | 8.11187e8 | − | 2.38186e8i | 2.33483 | − | 0.685567i | ||||
\(704\) | 1.37901e8 | − | 6.29773e7i | 0.395230 | − | 0.180495i | ||||
\(705\) | −2.29190e7 | − | 3.56626e7i | −0.0654075 | − | 0.101776i | ||||
\(706\) | 2.53740e8 | + | 7.45047e7i | 0.721065 | + | 0.211724i | ||||
\(707\) | −6.28030e7 | + | 9.02971e6i | −0.177714 | + | 0.0255515i | ||||
\(708\) | −6.63936e6 | + | 1.45382e7i | −0.0187080 | + | 0.0409647i | ||||
\(709\) | −6.91630e7 | − | 9.94414e6i | −0.194060 | − | 0.0279016i | 0.0445996 | − | 0.999005i | \(-0.485799\pi\) |
−0.238659 | + | 0.971103i | \(0.576708\pi\) | |||||||
\(710\) | −2.33512e7 | + | 3.63351e7i | −0.0652429 | + | 0.101520i | ||||
\(711\) | 1.87282e7 | − | 1.62281e7i | 0.0521060 | − | 0.0451501i | ||||
\(712\) | 3.76806e8i | 1.04395i | ||||||||
\(713\) | 4.85201e8 | − | 2.96674e8i | 1.33861 | − | 0.818486i | ||||
\(714\) | 4.29447e7 | 0.117982 | ||||||||
\(715\) | 4.69561e7 | + | 5.41902e7i | 0.128462 | + | 0.148253i | ||||
\(716\) | −1.01607e7 | − | 6.52986e6i | −0.0276811 | − | 0.0177896i | ||||
\(717\) | −2.81793e7 | + | 1.95992e8i | −0.0764493 | + | 0.531716i | ||||
\(718\) | −2.27955e7 | − | 1.04104e7i | −0.0615852 | − | 0.0281250i | ||||
\(719\) | 2.16685e7 | + | 1.50708e8i | 0.0582965 | + | 0.405461i | 0.997986 | + | 0.0634326i | \(0.0202048\pi\) |
−0.939690 | + | 0.342028i | \(0.888886\pi\) | |||||||
\(720\) | 1.46485e7 | − | 4.98883e7i | 0.0392461 | − | 0.133660i | ||||
\(721\) | −6.65368e7 | + | 4.27606e7i | −0.177524 | + | 0.114088i | ||||
\(722\) | −3.45442e8 | − | 7.56413e8i | −0.917833 | − | 2.00977i | ||||
\(723\) | 1.00223e7 | + | 3.41329e7i | 0.0265188 | + | 0.0903146i | ||||
\(724\) | 321944. | + | 278966.i | 0.000848329 | + | 0.000735081i | ||||
\(725\) | −5.77527e7 | + | 6.66501e7i | −0.151551 | + | 0.174899i | ||||
\(726\) | 1.71188e8 | − | 5.02653e7i | 0.447366 | − | 0.131359i | ||||
\(727\) | −5.55569e7 | + | 2.53720e7i | −0.144589 | + | 0.0660315i | −0.486395 | − | 0.873739i | \(-0.661689\pi\) |
0.341807 | + | 0.939770i | \(0.388961\pi\) | |||||||
\(728\) | 3.09260e7 | + | 4.81219e7i | 0.0801549 | + | 0.124724i | ||||
\(729\) | −1.37677e7 | − | 4.04255e6i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | −1.71018e8 | + | 2.45886e7i | −0.439615 | + | 0.0632071i | ||||
\(731\) | 2.96843e8 | − | 6.49994e8i | 0.759931 | − | 1.66402i | ||||
\(732\) | 1.72997e7 | + | 2.48733e6i | 0.0441069 | + | 0.00634162i | ||||
\(733\) | 2.06086e8 | − | 3.20676e8i | 0.523283 | − | 0.814244i | −0.474537 | − | 0.880235i | \(-0.657385\pi\) |
0.997820 | + | 0.0659914i | \(0.0210210\pi\) | |||||||
\(734\) | −1.42471e8 | + | 1.23452e8i | −0.360279 | + | 0.312183i | ||||
\(735\) | 8.93398e7i | 0.225000i | ||||||||
\(736\) | −1.67689e7 | − | 3.90087e7i | −0.0420602 | − | 0.0978427i | ||||
\(737\) | −4.20325e7 | −0.104998 | ||||||||
\(738\) | 1.26666e8 | + | 1.46180e8i | 0.315131 | + | 0.363681i | ||||
\(739\) | −1.21515e8 | − | 7.80927e7i | −0.301089 | − | 0.193498i | 0.381369 | − | 0.924423i | \(-0.375453\pi\) |
−0.682458 | + | 0.730925i | \(0.739089\pi\) | |||||||
\(740\) | 1.67604e6 | − | 1.16571e7i | 0.00413608 | − | 0.0287671i | ||||
\(741\) | 4.05242e8 | + | 1.85068e8i | 0.996002 | + | 0.454859i | ||||
\(742\) | 1.08835e6 | + | 7.56961e6i | 0.00266413 | + | 0.0185294i | ||||
\(743\) | −3.84244e7 | + | 1.30861e8i | −0.0936786 | + | 0.319040i | −0.992979 | − | 0.118292i | \(-0.962258\pi\) |
0.899300 | + | 0.437332i | \(0.144076\pi\) | |||||||
\(744\) | 3.04928e8 | − | 1.95965e8i | 0.740421 | − | 0.475840i | ||||
\(745\) | −3.58625e7 | − | 7.85279e7i | −0.0867305 | − | 0.189913i | ||||
\(746\) | 2.25354e8 | + | 7.67486e8i | 0.542812 | + | 1.84865i | ||||
\(747\) | 7.81892e7 | + | 6.77513e7i | 0.187579 | + | 0.162538i | ||||
\(748\) | 9.39979e6 | − | 1.08479e7i | 0.0224602 | − | 0.0259204i | ||||
\(749\) | −1.03539e8 | + | 3.04018e7i | −0.246410 | + | 0.0723526i | ||||
\(750\) | −1.66606e8 | + | 7.60865e7i | −0.394919 | + | 0.180353i | ||||
\(751\) | 7.84986e7 | + | 1.22146e8i | 0.185328 | + | 0.288377i | 0.921469 | − | 0.388452i | \(-0.126990\pi\) |
−0.736140 | + | 0.676829i | \(0.763354\pi\) | |||||||
\(752\) | −2.25765e8 | − | 6.62906e7i | −0.530889 | − | 0.155883i | ||||
\(753\) | 6.58120e7 | − | 9.46234e6i | 0.154142 | − | 0.0221622i | ||||
\(754\) | 5.36681e7 | − | 1.17517e8i | 0.125199 | − | 0.274149i | ||||
\(755\) | 3.10273e7 | + | 4.46105e6i | 0.0720947 | + | 0.0103656i | ||||
\(756\) | −342369. | + | 532737.i | −0.000792373 | + | 0.00123296i | ||||
\(757\) | 3.21859e8 | − | 2.78892e8i | 0.741956 | − | 0.642908i | −0.199557 | − | 0.979886i | \(-0.563950\pi\) |
0.941513 | + | 0.336978i | \(0.109405\pi\) | |||||||
\(758\) | − | 7.47113e8i | − | 1.71545i | ||||||
\(759\) | −3.03203e7 | − | 1.12529e8i | −0.0693439 | − | 0.257359i | ||||
\(760\) | 3.01284e8 | 0.686333 | ||||||||
\(761\) | 1.24054e8 | + | 1.43166e8i | 0.281487 | + | 0.324853i | 0.878832 | − | 0.477131i | \(-0.158323\pi\) |
−0.597345 | + | 0.801984i | \(0.703778\pi\) | |||||||
\(762\) | −2.02369e8 | − | 1.30055e8i | −0.457382 | − | 0.293941i | ||||
\(763\) | 2.98835e6 | − | 2.07844e7i | 0.00672756 | − | 0.0467912i | ||||
\(764\) | −1.64304e7 | − | 7.50352e6i | −0.0368441 | − | 0.0168261i | ||||
\(765\) | 1.17756e7 | + | 8.19011e7i | 0.0263026 | + | 0.182939i | ||||
\(766\) | 1.56231e7 | − | 5.32073e7i | 0.0347600 | − | 0.118382i | ||||
\(767\) | 5.93266e8 | − | 3.81269e8i | 1.31481 | − | 0.844978i | ||||
\(768\) | −1.73256e7 | − | 3.79377e7i | −0.0382476 | − | 0.0837505i | ||||
\(769\) | 2.44449e8 | + | 8.32517e8i | 0.537538 | + | 1.83069i | 0.556474 | + | 0.830865i | \(0.312154\pi\) |
−0.0189358 | + | 0.999821i | \(0.506028\pi\) | |||||||
\(770\) | −9.29124e6 | − | 8.05090e6i | −0.0203517 | − | 0.0176349i | ||||
\(771\) | 3.29315e7 | − | 3.80049e7i | 0.0718535 | − | 0.0829233i | ||||
\(772\) | −8.34769e6 | + | 2.45110e6i | −0.0181432 | + | 0.00532733i | ||||
\(773\) | −7.68533e8 | + | 3.50977e8i | −1.66389 | + | 0.759872i | −0.663961 | + | 0.747767i | \(0.731126\pi\) |
−0.999927 | + | 0.0121046i | \(0.996147\pi\) | |||||||
\(774\) | 1.12566e8 | + | 1.75157e8i | 0.242765 | + | 0.377750i | ||||
\(775\) | −5.89855e8 | − | 1.73197e8i | −1.26719 | − | 0.372079i | ||||
\(776\) | −2.65099e8 | + | 3.81155e7i | −0.567314 | + | 0.0815674i | ||||
\(777\) | 2.20281e7 | − | 4.82348e7i | 0.0469585 | − | 0.102825i | ||||
\(778\) | −4.72063e8 | − | 6.78725e7i | −1.00245 | − | 0.144130i | ||||
\(779\) | −6.38346e8 | + | 9.93285e8i | −1.35034 | + | 2.10117i | ||||
\(780\) | 4.69010e6 | − | 4.06399e6i | 0.00988321 | − | 0.00856385i | ||||
\(781\) | 6.50010e7i | 0.136448i | ||||||||
\(782\) | 5.06782e8 | + | 4.59406e8i | 1.05974 | + | 0.960675i | ||||
\(783\) | −2.54004e7 | −0.0529120 | ||||||||
\(784\) | 3.24730e8 | + | 3.74758e8i | 0.673867 | + | 0.777684i | ||||
\(785\) | 1.30663e8 | + | 8.39719e7i | 0.270111 | + | 0.173590i | ||||
\(786\) | 4.32475e7 | − | 3.00793e8i | 0.0890623 | − | 0.619442i | ||||
\(787\) | 7.13851e8 | + | 3.26005e8i | 1.46448 | + | 0.668805i | 0.978704 | − | 0.205278i | \(-0.0658099\pi\) |
0.485776 | + | 0.874084i | \(0.338537\pi\) | |||||||
\(788\) | 4.40732e6 | + | 3.06536e7i | 0.00900734 | + | 0.0626474i | ||||
\(789\) | −4.79795e7 | + | 1.63403e8i | −0.0976842 | + | 0.332682i | ||||
\(790\) | 3.50280e7 | − | 2.25111e7i | 0.0710451 | − | 0.0456579i | ||||
\(791\) | −1.81292e7 | − | 3.96974e7i | −0.0366310 | − | 0.0802107i | ||||
\(792\) | −2.09265e7 | − | 7.12692e7i | −0.0421232 | − | 0.143459i | ||||
\(793\) | −5.82827e8 | − | 5.05022e8i | −1.16875 | − | 1.01272i | ||||
\(794\) | 3.62891e8 | − | 4.18799e8i | 0.724961 | − | 0.836650i | ||||
\(795\) | −1.41378e7 | + | 4.15123e6i | −0.0281372 | + | 0.00826182i | ||||
\(796\) | −2.03351e7 | + | 9.28675e6i | −0.0403188 | + | 0.0184130i | ||||
\(797\) | 8.82375e7 | + | 1.37300e8i | 0.174292 | + | 0.271204i | 0.917399 | − | 0.397969i | \(-0.130285\pi\) |
−0.743107 | + | 0.669173i | \(0.766648\pi\) | |||||||
\(798\) | −7.32898e7 | − | 2.15198e7i | −0.144223 | − | 0.0423477i | ||||
\(799\) | 3.70636e8 | − | 5.32894e7i | 0.726620 | − | 0.104472i | ||||
\(800\) | −1.90667e7 | + | 4.17502e7i | −0.0372396 | + | 0.0815433i | ||||
\(801\) | 1.82190e8 | + | 2.61949e7i | 0.354508 | + | 0.0509706i | ||||
\(802\) | 1.10500e8 | − | 1.71941e8i | 0.214209 | − | 0.333315i | ||||
\(803\) | −1.96509e8 | + | 1.70276e8i | −0.379521 | + | 0.328857i | ||||
\(804\) | 3.63786e6i | 0.00699967i | ||||||||
\(805\) | 1.99133e7 | − | 2.19668e7i | 0.0381730 | − | 0.0421095i | ||||
\(806\) | 9.00564e8 | 1.71992 | ||||||||
\(807\) | −1.60166e8 | − | 1.84842e8i | −0.304755 | − | 0.351706i | ||||
\(808\) | −5.41858e8 | − | 3.48231e8i | −1.02719 | − | 0.660136i | ||||
\(809\) | −1.65752e7 | + | 1.15283e8i | −0.0313049 | + | 0.217731i | −0.999469 | − | 0.0325862i | \(-0.989626\pi\) |
0.968164 | + | 0.250317i | \(0.0805348\pi\) | |||||||
\(810\) | −2.19308e7 | − | 1.00155e7i | −0.0412667 | − | 0.0188459i | ||||
\(811\) | −8.79390e7 | − | 6.11629e8i | −0.164861 | − | 1.14664i | −0.889309 | − | 0.457307i | \(-0.848814\pi\) |
0.724448 | − | 0.689330i | \(-0.242095\pi\) | |||||||
\(812\) | −315823. | + | 1.07560e6i | −0.000589897 | + | 0.00200900i | ||||
\(813\) | 5.08891e8 | − | 3.27044e8i | 0.947007 | − | 0.608604i | ||||
\(814\) | −1.45484e8 | − | 3.18566e8i | −0.269739 | − | 0.590645i | ||||
\(815\) | 8.91241e7 | + | 3.03529e8i | 0.164635 | + | 0.560696i | ||||
\(816\) | 3.47088e8 | + | 3.00753e8i | 0.638806 | + | 0.553529i | ||||
\(817\) | −8.32310e8 | + | 9.60536e8i | −1.52623 | + | 1.76136i | ||||
\(818\) | −5.63419e8 | + | 1.65435e8i | −1.02937 | + | 0.302250i | ||||
\(819\) | 2.54174e7 | − | 1.16077e7i | 0.0462678 | − | 0.0211298i | ||||
\(820\) | 8.89223e6 | + | 1.38366e7i | 0.0161276 | + | 0.0250950i | ||||
\(821\) | −3.61146e8 | − | 1.06042e8i | −0.652610 | − | 0.191624i | −0.0613649 | − | 0.998115i | \(-0.519545\pi\) |
−0.591245 | + | 0.806492i | \(0.701364\pi\) | |||||||
\(822\) | 2.24068e8 | − | 3.22161e7i | 0.403427 | − | 0.0580040i | ||||
\(823\) | 1.89574e8 | − | 4.15109e8i | 0.340079 | − | 0.744669i | −0.659899 | − | 0.751354i | \(-0.729401\pi\) |
0.999978 | + | 0.00668585i | \(0.00212819\pi\) | |||||||
\(824\) | −7.94744e8 | − | 1.14267e8i | −1.42051 | − | 0.204239i | ||||
\(825\) | −6.81086e7 | + | 1.05979e8i | −0.121294 | + | 0.188738i | ||||
\(826\) | −9.13804e7 | + | 7.91816e7i | −0.162148 | + | 0.140502i | ||||
\(827\) | 9.71096e8i | 1.71690i | 0.512896 | + | 0.858451i | \(0.328573\pi\) | ||||
−0.512896 | + | 0.858451i | \(0.671427\pi\) | |||||||
\(828\) | −9.73925e6 | + | 2.62418e6i | −0.0171567 | + | 0.00462278i | ||||
\(829\) | −6.81970e8 | −1.19702 | −0.598510 | − | 0.801115i | \(-0.704240\pi\) | ||||
−0.598510 | + | 0.801115i | \(0.704240\pi\) | |||||||
\(830\) | 1.13838e8 | + | 1.31376e8i | 0.199092 | + | 0.229764i | ||||
\(831\) | 4.23043e8 | + | 2.71873e8i | 0.737193 | + | 0.473765i | ||||
\(832\) | −8.23932e7 | + | 5.73057e8i | −0.143061 | + | 0.995012i | ||||
\(833\) | −7.17820e8 | − | 3.27817e8i | −1.24188 | − | 0.567148i | ||||
\(834\) | 2.19982e6 | + | 1.53001e7i | 0.00379218 | + | 0.0263752i | ||||
\(835\) | 1.12607e8 | − | 3.83504e8i | 0.193422 | − | 0.658735i | ||||
\(836\) | −2.14777e7 | + | 1.38029e7i | −0.0367595 | + | 0.0236239i | ||||
\(837\) | −7.35533e7 | − | 1.61059e8i | −0.125437 | − | 0.274669i | ||||
\(838\) | −6.86690e7 | − | 2.33865e8i | −0.116689 | − | 0.397405i | ||||
\(839\) | −5.86373e8 | − | 5.08095e8i | −0.992860 | − | 0.860318i | −0.00266269 | − | 0.999996i | \(-0.500848\pi\) |
−0.990197 | + | 0.139679i | \(0.955393\pi\) | |||||||
\(840\) | 1.23749e7 | − | 1.42813e7i | 0.0208786 | − | 0.0240952i | ||||
\(841\) | 5.27587e8 | − | 1.54913e8i | 0.886964 | − | 0.260436i | ||||
\(842\) | 2.00821e8 | − | 9.17118e7i | 0.336413 | − | 0.153635i | ||||
\(843\) | 1.67958e8 | + | 2.61348e8i | 0.280362 | + | 0.436252i | ||||
\(844\) | −1.80088e7 | − | 5.28786e6i | −0.0299541 | − | 0.00879533i | ||||
\(845\) | −3.34549e7 | + | 4.81009e6i | −0.0554485 | + | 0.00797230i | ||||
\(846\) | −4.53241e7 | + | 9.92460e7i | −0.0748546 | + | 0.163909i | ||||
\(847\) | 6.76145e7 | + | 9.72149e6i | 0.111273 | + | 0.0159986i | ||||
\(848\) | −4.42158e7 | + | 6.88011e7i | −0.0725087 | + | 0.112826i | ||||
\(849\) | −4.33976e8 | + | 3.76042e8i | −0.709157 | + | 0.614488i | ||||
\(850\) | − | 7.39396e8i | − | 1.20398i | ||||||
\(851\) | 7.75947e8 | − | 3.33561e8i | 1.25905 | − | 0.541236i | ||||
\(852\) | 5.62576e6 | 0.00909625 | ||||||||
\(853\) | 5.92105e8 | + | 6.83326e8i | 0.954008 | + | 1.10098i | 0.994803 | + | 0.101816i | \(0.0324654\pi\) |
−0.0407954 | + | 0.999168i | \(0.512989\pi\) | |||||||
\(854\) | 1.11235e8 | + | 7.14863e7i | 0.178594 | + | 0.114776i | ||||
\(855\) | 2.09447e7 | − | 1.45674e8i | 0.0335102 | − | 0.233068i | ||||
\(856\) | −9.96467e8 | − | 4.55071e8i | −1.58870 | − | 0.725535i | ||||
\(857\) | 9.34068e7 | + | 6.49659e8i | 0.148401 | + | 1.03215i | 0.918838 | + | 0.394635i | \(0.129129\pi\) |
−0.770437 | + | 0.637516i | \(0.779962\pi\) | |||||||
\(858\) | 5.19926e7 | − | 1.77070e8i | 0.0823151 | − | 0.280339i | ||||
\(859\) | −7.76456e8 | + | 4.98998e8i | −1.22500 | + | 0.787262i | −0.983106 | − | 0.183040i | \(-0.941406\pi\) |
−0.241898 | + | 0.970302i | \(0.577770\pi\) | |||||||
\(860\) | 7.35484e6 | + | 1.61048e7i | 0.0115632 | + | 0.0253199i | ||||
\(861\) | 2.08641e7 | + | 7.10567e7i | 0.0326882 | + | 0.111326i | ||||
\(862\) | 7.19359e8 | + | 6.23329e8i | 1.12311 | + | 0.973185i | ||||
\(863\) | 8.67717e7 | − | 1.00140e8i | 0.135004 | − | 0.155803i | −0.684222 | − | 0.729274i | \(-0.739858\pi\) |
0.819226 | + | 0.573471i | \(0.194404\pi\) | |||||||
\(864\) | −1.26838e7 | + | 3.72431e6i | −0.0196657 | + | 0.00577437i | ||||
\(865\) | −1.07486e7 | + | 4.90873e6i | −0.0166075 | + | 0.00758439i | ||||
\(866\) | −2.31412e7 | − | 3.60085e7i | −0.0356314 | − | 0.0554436i | ||||
\(867\) | −3.40234e8 | − | 9.99019e7i | −0.522061 | − | 0.153291i | ||||
\(868\) | −7.73471e6 | + | 1.11208e6i | −0.0118273 | + | 0.00170051i | ||||
\(869\) | 2.60310e7 | − | 5.70000e7i | 0.0396673 | − | 0.0868592i | ||||
\(870\) | −4.22442e7 | − | 6.07380e6i | −0.0641518 | − | 0.00922364i | ||||
\(871\) | 8.67827e7 | − | 1.35037e8i | 0.131335 | − | 0.204360i | ||||
\(872\) | 1.61099e8 | − | 1.39593e8i | 0.242965 | − | 0.210531i | ||||
\(873\) | 1.30828e8i | 0.196634i | ||||||||
\(874\) | −6.34667e8 | − | 1.03798e9i | −0.950630 | − | 1.55472i | ||||
\(875\) | −7.01257e7 | −0.104677 | ||||||||
\(876\) | 1.47372e7 | + | 1.70076e7i | 0.0219231 | + | 0.0253006i | ||||
\(877\) | −9.01681e8 | − | 5.79475e8i | −1.33676 | − | 0.859085i | −0.340074 | − | 0.940399i | \(-0.610452\pi\) |
−0.996689 | + | 0.0813135i | \(0.974089\pi\) | |||||||
\(878\) | 4.08553e7 | − | 2.84155e8i | 0.0603622 | − | 0.419829i | ||||
\(879\) | 5.67049e8 | + | 2.58963e8i | 0.834938 | + | 0.381303i | ||||
\(880\) | −1.87110e7 | − | 1.30138e8i | −0.0274568 | − | 0.190966i | ||||
\(881\) | 1.48546e8 | − | 5.05903e8i | 0.217237 | − | 0.739843i | −0.776698 | − | 0.629874i | \(-0.783107\pi\) |
0.993935 | − | 0.109969i | \(-0.0350751\pi\) | |||||||
\(882\) | 1.93434e8 | − | 1.24312e8i | 0.281921 | − | 0.181179i | ||||
\(883\) | −3.86950e7 | − | 8.47303e7i | −0.0562047 | − | 0.123071i | 0.879446 | − | 0.475999i | \(-0.157913\pi\) |
−0.935651 | + | 0.352928i | \(0.885186\pi\) | |||||||
\(884\) | 1.54435e7 | + | 5.25957e7i | 0.0223557 | + | 0.0761366i | ||||
\(885\) | −1.76066e8 | − | 1.52562e8i | −0.254007 | − | 0.220099i | ||||
\(886\) | −6.72952e8 | + | 7.76628e8i | −0.967572 | + | 1.11664i | ||||
\(887\) | 6.31416e8 | − | 1.85401e8i | 0.904784 | − | 0.265668i | 0.203940 | − | 0.978983i | \(-0.434625\pi\) |
0.700844 | + | 0.713315i | \(0.252807\pi\) | |||||||
\(888\) | 4.89661e8 | − | 2.23621e8i | 0.699289 | − | 0.319355i | ||||
\(889\) | −4.97940e7 | − | 7.74810e7i | −0.0708715 | − | 0.110278i | ||||
\(890\) | 2.96742e8 | + | 8.71313e7i | 0.420929 | + | 0.123596i | ||||
\(891\) | −3.59142e7 | + | 5.16369e6i | −0.0507731 | + | 0.00730007i | ||||
\(892\) | 6.00171e6 | − | 1.31419e7i | 0.00845630 | − | 0.0185167i | ||||
\(893\) | −6.59234e8 | − | 9.47836e7i | −0.925732 | − | 0.133100i | ||||
\(894\) | −1.20124e8 | + | 1.86916e8i | −0.168119 | + | 0.261598i | ||||
\(895\) | 1.33054e8 | − | 1.15292e8i | 0.185592 | − | 0.160816i | ||||
\(896\) | − | 1.10209e8i | − | 0.153212i | ||||||
\(897\) | 4.24120e8 | + | 1.34925e8i | 0.587641 | + | 0.186946i | ||||
\(898\) | −4.64844e8 | −0.641916 | ||||||||
\(899\) | −2.05253e8 | − | 2.36875e8i | −0.282495 | − | 0.326017i | ||||
\(900\) | 9.17235e6 | + | 5.89471e6i | 0.0125821 | + | 0.00808603i | ||||
\(901\) | 1.85223e7 | − | 1.28825e8i | 0.0253233 | − | 0.176128i | ||||
\(902\) | 4.44906e8 | + | 2.03182e8i | 0.606245 | + | 0.276863i | ||||
\(903\) | 1.13449e7 | + | 7.89057e7i | 0.0154077 | + | 0.107163i | ||||
\(904\) | 1.24815e8 | − | 4.25082e8i | 0.168952 | − | 0.575397i | ||||
\(905\) | −5.22376e6 | + | 3.35711e6i | −0.00704754 | + | 0.00452918i | ||||
\(906\) | −3.35143e7 | − | 7.33861e7i | −0.0450657 | − | 0.0986800i | ||||
\(907\) | −7.05027e7 | − | 2.40110e8i | −0.0944896 | − | 0.321802i | 0.898661 | − | 0.438644i | \(-0.144541\pi\) |
−0.993151 | + | 0.116842i | \(0.962723\pi\) | |||||||
\(908\) | 5.17738e7 | + | 4.48622e7i | 0.0691596 | + | 0.0599271i | ||||
\(909\) | −2.06043e8 | + | 2.37786e8i | −0.274325 | + | 0.316588i | ||||
\(910\) | 4.50482e7 | − | 1.32273e7i | 0.0597796 | − | 0.0175529i | ||||
\(911\) | 5.15921e7 | − | 2.35613e7i | 0.0682382 | − | 0.0311634i | −0.381004 | − | 0.924574i | \(-0.624421\pi\) |
0.449242 | + | 0.893410i | \(0.351694\pi\) | |||||||
\(912\) | −4.41634e8 | − | 6.87196e8i | −0.582208 | − | 0.905933i | ||||
\(913\) | 2.51016e8 | + | 7.37050e7i | 0.329829 | + | 0.0968466i | ||||
\(914\) | −3.13707e8 | + | 4.51043e7i | −0.410853 | + | 0.0590717i | ||||
\(915\) | −1.05833e8 | + | 2.31741e8i | −0.138152 | + | 0.302510i | ||||
\(916\) | 3.91765e7 | + | 5.63273e6i | 0.0509729 | + | 0.00732880i | ||||
\(917\) | 6.29030e7 | − | 9.78791e7i | 0.0815762 | − | 0.126935i | ||||
\(918\) | 1.60943e8 | − | 1.39458e8i | 0.208039 | − | 0.180266i | ||||
\(919\) | 7.73088e8i | 0.996052i | 0.867162 | + | 0.498026i | \(0.165942\pi\) | ||||
−0.867162 | + | 0.498026i | \(0.834058\pi\) | |||||||
\(920\) | 2.98810e8 | − | 3.61497e7i | 0.383735 | − | 0.0464238i | ||||
\(921\) | −3.14199e8 | −0.402185 | ||||||||
\(922\) | 9.12284e7 | + | 1.05283e8i | 0.116396 | + | 0.134328i | ||||
\(923\) | −2.08827e8 | − | 1.34205e8i | −0.265572 | − | 0.170673i | ||||
\(924\) | −227891. | + | 1.58502e6i | −0.000288876 | + | 0.00200918i | ||||
\(925\) | −8.30479e8 | − | 3.79267e8i | −1.04931 | − | 0.479203i | ||||
\(926\) | 3.98236e7 | + | 2.76979e8i | 0.0501542 | + | 0.348830i | ||||
\(927\) | −1.10499e8 | + | 3.76324e8i | −0.138713 | + | 0.472413i | ||||
\(928\) | −1.96860e7 | + | 1.26514e7i | −0.0246328 | + | 0.0158305i | ||||
\(929\) | −4.54782e7 | − | 9.95834e7i | −0.0567226 | − | 0.124205i | 0.879148 | − | 0.476548i | \(-0.158112\pi\) |
−0.935871 | + | 0.352343i | \(0.885385\pi\) | |||||||
\(930\) | −8.38161e7 | − | 2.85451e8i | −0.104203 | − | 0.354881i | ||||
\(931\) | 1.06077e9 | + | 9.19159e8i | 1.31453 | + | 1.13905i | ||||
\(932\) | −4.23070e7 | + | 4.88249e7i | −0.0522594 | + | 0.0603106i | ||||
\(933\) | −7.64525e8 | + | 2.24485e8i | −0.941340 | + | 0.276402i | ||||
\(934\) | 2.27492e8 | − | 1.03892e8i | 0.279206 | − | 0.127509i | ||||
\(935\) | 1.13118e8 | + | 1.76015e8i | 0.138388 | + | 0.215336i | ||||
\(936\) | 2.72171e8 | + | 7.99166e7i | 0.331905 | + | 0.0974562i | ||||
\(937\) | −1.20405e9 | + | 1.73116e8i | −1.46361 | + | 0.210435i | −0.827631 | − | 0.561272i | \(-0.810312\pi\) |
−0.635977 | + | 0.771708i | \(0.719403\pi\) | |||||||
\(938\) | −1.14330e7 | + | 2.50347e7i | −0.0138532 | + | 0.0303343i | ||||
\(939\) | 3.50730e8 | + | 5.04273e7i | 0.423619 | + | 0.0609072i | ||||
\(940\) | −5.01588e6 | + | 7.80485e6i | −0.00603897 | + | 0.00939683i | ||||
\(941\) | 5.42415e8 | − | 4.70005e8i | 0.650973 | − | 0.564071i | −0.265528 | − | 0.964103i | \(-0.585546\pi\) |
0.916501 | + | 0.400032i | \(0.131001\pi\) | |||||||
\(942\) | − | 3.99748e8i | − | 0.478226i | ||||||
\(943\) | −5.13924e8 | + | 1.06172e9i | −0.612864 | + | 1.26612i | ||||
\(944\) | −1.29309e9 | −1.53713 | ||||||||
\(945\) | −6.04491e6 | − | 6.97619e6i | −0.00716299 | − | 0.00826653i | ||||
\(946\) | 4.42913e8 | + | 2.84643e8i | 0.523172 | + | 0.336222i | ||||
\(947\) | 4.74487e7 | − | 3.30013e8i | 0.0558695 | − | 0.388581i | −0.942631 | − | 0.333837i | \(-0.891657\pi\) |
0.998500 | − | 0.0547441i | \(-0.0174343\pi\) | |||||||
\(948\) | −4.93328e6 | − | 2.25295e6i | −0.00579043 | − | 0.00264440i | ||||
\(949\) | −1.41317e8 | − | 9.82882e8i | −0.165347 | − | 1.15001i | ||||
\(950\) | −3.70515e8 | + | 1.26186e9i | −0.432151 | + | 1.47177i | ||||
\(951\) | −4.31338e8 | + | 2.77204e8i | −0.501506 | + | 0.322298i | ||||
\(952\) | 6.93391e7 | + | 1.51831e8i | 0.0803651 | + | 0.175975i | ||||
\(953\) | 4.69179e7 | + | 1.59788e8i | 0.0542076 | + | 0.184614i | 0.982146 | − | 0.188119i | \(-0.0602390\pi\) |
−0.927939 | + | 0.372733i | \(0.878421\pi\) | |||||||
\(954\) | 2.86602e7 | + | 2.48342e7i | 0.0330091 | + | 0.0286026i | ||||
\(955\) | 1.72419e8 | − | 1.98983e8i | 0.197959 | − | 0.228457i | ||||
\(956\) | 4.15790e7 | − | 1.22087e7i | 0.0475883 | − | 0.0139732i | ||||
\(957\) | −5.84247e7 | + | 2.66817e7i | −0.0666593 | + | 0.0304423i | ||||
\(958\) | −6.24162e7 | − | 9.71216e7i | −0.0709906 | − | 0.110464i | ||||
\(959\) | 8.31604e7 | + | 2.44181e7i | 0.0942889 | + | 0.0276857i | ||||
\(960\) | 1.89310e8 | − | 2.72187e7i | 0.213974 | − | 0.0307648i | ||||
\(961\) | 5.38936e8 | − | 1.18011e9i | 0.607250 | − | 1.32969i | ||||
\(962\) | 1.32383e9 | + | 1.90337e8i | 1.48698 | + | 0.213796i | ||||
\(963\) | −2.89305e8 | + | 4.50167e8i | −0.323949 | + | 0.504075i | ||||
\(964\) | 5.88384e6 | − | 5.09837e6i | 0.00656795 | − | 0.00569116i | ||||
\(965\) | − | 1.26817e8i | − | 0.141123i | ||||||
\(966\) | −7.52700e7 | − | 1.25494e7i | −0.0835008 | − | 0.0139217i | ||||
\(967\) | 8.81022e6 | 0.00974333 | 0.00487166 | − | 0.999988i | \(-0.498449\pi\) | ||||
0.00487166 | + | 0.999988i | \(0.498449\pi\) | |||||||
\(968\) | 4.54116e8 | + | 5.24078e8i | 0.500657 | + | 0.577789i | ||||
\(969\) | 1.09359e9 | + | 7.02811e8i | 1.20195 | + | 0.772444i | ||||
\(970\) | −3.12840e7 | + | 2.17585e8i | −0.0342773 | + | 0.238404i | ||||
\(971\) | 2.68488e8 | + | 1.22615e8i | 0.293270 | + | 0.133932i | 0.556617 | − | 0.830769i | \(-0.312099\pi\) |
−0.263347 | + | 0.964701i | \(0.584826\pi\) | |||||||
\(972\) | 446911. | + | 3.10833e6i | 0.000486656 | + | 0.00338477i | ||||
\(973\) | −1.66734e6 | + | 5.67845e6i | −0.00181003 | + | 0.00616441i | ||||
\(974\) | 1.50016e9 | − | 9.64094e8i | 1.62353 | − | 1.04338i | ||||
\(975\) | −1.99855e8 | − | 4.37621e8i | −0.215626 | − | 0.472155i | ||||
\(976\) | 3.98385e8 | + | 1.35678e9i | 0.428503 | + | 1.45935i | ||||
\(977\) | 3.46386e8 | + | 3.00145e8i | 0.371429 | + | 0.321845i | 0.820495 | − | 0.571653i | \(-0.193698\pi\) |
−0.449066 | + | 0.893499i | \(0.648243\pi\) | |||||||
\(978\) | 5.33173e8 | − | 6.15314e8i | 0.569969 | − | 0.657780i | ||||
\(979\) | 4.46581e8 | − | 1.31128e8i | 0.475940 | − | 0.139748i | ||||
\(980\) | 1.77853e7 | − | 8.12229e6i | 0.0188966 | − | 0.00862979i | ||||
\(981\) | −5.62956e7 | − | 8.75976e7i | −0.0596303 | − | 0.0927866i | ||||
\(982\) | −1.37741e9 | − | 4.04445e8i | −1.45455 | − | 0.427095i | ||||
\(983\) | −2.03641e8 | + | 2.92792e7i | −0.214390 | + | 0.0308247i | −0.248673 | − | 0.968588i | \(-0.579994\pi\) |
0.0342827 | + | 0.999412i | \(0.489085\pi\) | |||||||
\(984\) | −3.12306e8 | + | 6.83854e8i | −0.327789 | + | 0.717758i | ||||
\(985\) | −4.46824e8 | − | 6.42435e7i | −0.467549 | − | 0.0672235i | ||||
\(986\) | 2.03809e8 | − | 3.17133e8i | 0.212615 | − | 0.330835i | ||||
\(987\) | −3.15702e7 | + | 2.73557e7i | −0.0328341 | + | 0.0284509i | ||||
\(988\) | − | 9.74991e7i | − | 0.101095i | ||||||
\(989\) | −7.10225e8 | + | 1.05251e9i | −0.734187 | + | 1.08803i | ||||
\(990\) | −6.09649e7 | −0.0628311 | ||||||||
\(991\) | 5.35994e8 | + | 6.18570e8i | 0.550730 | + | 0.635576i | 0.961053 | − | 0.276364i | \(-0.0891296\pi\) |
−0.410323 | + | 0.911940i | \(0.634584\pi\) | |||||||
\(992\) | −1.37226e8 | − | 8.81900e7i | −0.140573 | − | 0.0903409i | ||||
\(993\) | −5.13711e6 | + | 3.57294e7i | −0.00524652 | + | 0.0364903i | ||||
\(994\) | 3.87149e7 | + | 1.76805e7i | 0.0394202 | + | 0.0180026i | ||||
\(995\) | −4.63752e7 | − | 3.22547e8i | −0.0470779 | − | 0.327434i | ||||
\(996\) | 6.37907e6 | − | 2.17251e7i | 0.00645624 | − | 0.0219879i | ||||
\(997\) | 1.19728e7 | − | 7.69446e6i | 0.0120812 | − | 0.00776412i | −0.534586 | − | 0.845114i | \(-0.679533\pi\) |
0.546667 | + | 0.837350i | \(0.315896\pi\) | |||||||
\(998\) | −1.67623e8 | − | 3.67043e8i | −0.168633 | − | 0.369254i | ||||
\(999\) | −7.40826e7 | − | 2.52302e8i | −0.0743053 | − | 0.253061i |
(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 | 69.7.f.a.10.6 | yes | 240 | |
23.7 | odd | 22 | inner | 69.7.f.a.7.6 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.7.f.a.7.6 | ✓ | 240 | 23.7 | odd | 22 | inner | |
69.7.f.a.10.6 | yes | 240 | 1.1 | even | 1 | trivial |