Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,5,Mod(7,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.h (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: | \(14.2650549056\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 7.8 | ||
Character | \(\chi\) | \(=\) | 138.7 |
Dual form | 138.5.h.a.79.8 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.85223 | + | 2.13758i | −0.463056 | + | 0.534396i | ||||
\(3\) | 4.37128 | − | 2.80925i | 0.485698 | − | 0.312139i | ||||
\(4\) | −1.13852 | − | 7.91857i | −0.0711574 | − | 0.494911i | ||||
\(5\) | 43.6718 | − | 19.9442i | 1.74687 | − | 0.797769i | 0.757415 | − | 0.652934i | \(-0.226462\pi\) |
0.989456 | − | 0.144835i | \(-0.0462650\pi\) | |||||||
\(6\) | −2.09159 | + | 14.5473i | −0.0580998 | + | 0.404093i | ||||
\(7\) | −0.290384 | − | 0.988957i | −0.00592620 | − | 0.0201828i | 0.956477 | − | 0.291808i | \(-0.0942570\pi\) |
−0.962403 | + | 0.271626i | \(0.912439\pi\) | |||||||
\(8\) | 19.0354 | + | 12.2333i | 0.297428 | + | 0.191145i | ||||
\(9\) | 11.2162 | − | 24.5601i | 0.138472 | − | 0.303211i | ||||
\(10\) | −38.2575 | + | 130.293i | −0.382575 | + | 1.30293i | ||||
\(11\) | 97.5081 | − | 84.4913i | 0.805852 | − | 0.698275i | −0.151101 | − | 0.988518i | \(-0.548282\pi\) |
0.956953 | + | 0.290243i | \(0.0937363\pi\) | |||||||
\(12\) | −27.2220 | − | 31.4159i | −0.189042 | − | 0.218166i | ||||
\(13\) | −28.6351 | − | 8.40802i | −0.169438 | − | 0.0497516i | 0.195913 | − | 0.980621i | \(-0.437233\pi\) |
−0.365351 | + | 0.930870i | \(0.619051\pi\) | |||||||
\(14\) | 2.65183 | + | 1.21105i | 0.0135298 | + | 0.00617884i | ||||
\(15\) | 134.873 | − | 209.867i | 0.599436 | − | 0.932741i | ||||
\(16\) | −61.4076 | + | 18.0309i | −0.239873 | + | 0.0704331i | ||||
\(17\) | −479.269 | − | 68.9085i | −1.65837 | − | 0.238438i | −0.751465 | − | 0.659773i | \(-0.770653\pi\) |
−0.906905 | + | 0.421335i | \(0.861562\pi\) | |||||||
\(18\) | 31.7242 | + | 69.4664i | 0.0979143 | + | 0.214402i | ||||
\(19\) | −258.631 | + | 37.1855i | −0.716429 | + | 0.103007i | −0.490883 | − | 0.871226i | \(-0.663326\pi\) |
−0.225546 | + | 0.974233i | \(0.572417\pi\) | |||||||
\(20\) | −207.651 | − | 323.111i | −0.519127 | − | 0.807778i | ||||
\(21\) | −4.04758 | − | 3.50725i | −0.00917819 | − | 0.00795294i | ||||
\(22\) | 364.929i | 0.753985i | ||||||||
\(23\) | 527.280 | − | 42.6289i | 0.996748 | − | 0.0805840i | ||||
\(24\) | 117.576 | 0.204124 | ||||||||
\(25\) | 1100.16 | − | 1269.66i | 1.76026 | − | 2.03145i | ||||
\(26\) | 71.0115 | − | 45.6363i | 0.105047 | − | 0.0675093i | ||||
\(27\) | −19.9662 | − | 138.868i | −0.0273885 | − | 0.190491i | ||||
\(28\) | −7.50052 | + | 3.42537i | −0.00956699 | + | 0.00436910i | ||||
\(29\) | −35.5450 | + | 247.221i | −0.0422651 | + | 0.293961i | 0.957715 | + | 0.287717i | \(0.0928964\pi\) |
−0.999981 | + | 0.00624317i | \(0.998013\pi\) | |||||||
\(30\) | 198.792 | + | 677.023i | 0.220880 | + | 0.752248i | ||||
\(31\) | −117.324 | − | 75.3998i | −0.122086 | − | 0.0784598i | 0.478173 | − | 0.878266i | \(-0.341299\pi\) |
−0.600259 | + | 0.799806i | \(0.704936\pi\) | |||||||
\(32\) | 75.1981 | − | 164.661i | 0.0734357 | − | 0.160802i | ||||
\(33\) | 188.878 | − | 643.260i | 0.173442 | − | 0.590689i | ||||
\(34\) | 1035.01 | − | 896.843i | 0.895339 | − | 0.775816i | ||||
\(35\) | −32.4056 | − | 37.3980i | −0.0264535 | − | 0.0305290i | ||||
\(36\) | −207.250 | − | 60.8542i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 2344.23 | + | 1070.57i | 1.71237 | + | 0.782012i | 0.996483 | + | 0.0837917i | \(0.0267031\pi\) |
0.715883 | + | 0.698220i | \(0.246024\pi\) | |||||||
\(38\) | 399.556 | − | 621.721i | 0.276701 | − | 0.430555i | ||||
\(39\) | −148.792 | + | 43.6893i | −0.0978253 | + | 0.0287241i | ||||
\(40\) | 1075.29 | + | 154.604i | 0.672058 | + | 0.0966274i | ||||
\(41\) | 1039.67 | + | 2276.56i | 0.618482 | + | 1.35429i | 0.916618 | + | 0.399764i | \(0.130908\pi\) |
−0.298136 | + | 0.954523i | \(0.596365\pi\) | |||||||
\(42\) | 14.9941 | − | 2.15582i | 0.00850004 | − | 0.00122212i | ||||
\(43\) | −1486.88 | − | 2313.64i | −0.804156 | − | 1.25129i | −0.964461 | − | 0.264224i | \(-0.914884\pi\) |
0.160305 | − | 0.987068i | \(-0.448752\pi\) | |||||||
\(44\) | −780.065 | − | 675.930i | −0.402926 | − | 0.349138i | ||||
\(45\) | − | 1296.28i | − | 0.640138i | ||||||
\(46\) | −885.518 | + | 1206.06i | −0.418487 | + | 0.569973i | ||||
\(47\) | 70.8451 | 0.0320711 | 0.0160356 | − | 0.999871i | \(-0.494896\pi\) | ||||
0.0160356 | + | 0.999871i | \(0.494896\pi\) | |||||||
\(48\) | −217.776 | + | 251.327i | −0.0945210 | + | 0.109083i | ||||
\(49\) | 2018.96 | − | 1297.50i | 0.840881 | − | 0.540402i | ||||
\(50\) | 676.243 | + | 4703.38i | 0.270497 | + | 1.88135i | ||||
\(51\) | −2288.60 | + | 1045.17i | −0.879893 | + | 0.401834i | ||||
\(52\) | −33.9779 | + | 236.322i | −0.0125658 | + | 0.0873970i | ||||
\(53\) | 86.3704 | + | 294.151i | 0.0307477 | + | 0.104717i | 0.973437 | − | 0.228954i | \(-0.0735306\pi\) |
−0.942689 | + | 0.333671i | \(0.891712\pi\) | |||||||
\(54\) | 333.824 | + | 214.536i | 0.114480 | + | 0.0735719i | ||||
\(55\) | 2573.24 | − | 5634.61i | 0.850657 | − | 1.86268i | ||||
\(56\) | 6.57064 | − | 22.3775i | 0.00209523 | − | 0.00713570i | ||||
\(57\) | −1026.08 | + | 889.107i | −0.315816 | + | 0.273656i | ||||
\(58\) | −462.618 | − | 533.889i | −0.137520 | − | 0.158707i | ||||
\(59\) | −4320.25 | − | 1268.54i | −1.24109 | − | 0.364418i | −0.405667 | − | 0.914021i | \(-0.632961\pi\) |
−0.835426 | + | 0.549603i | \(0.814779\pi\) | |||||||
\(60\) | −1815.40 | − | 829.066i | −0.504278 | − | 0.230296i | ||||
\(61\) | 1403.22 | − | 2183.45i | 0.377107 | − | 0.586790i | −0.599880 | − | 0.800090i | \(-0.704785\pi\) |
0.976987 | + | 0.213300i | \(0.0684212\pi\) | |||||||
\(62\) | 378.485 | − | 111.133i | 0.0984612 | − | 0.0289108i | ||||
\(63\) | −27.5459 | − | 3.96050i | −0.00694025 | − | 0.000997857i | ||||
\(64\) | 212.692 | + | 465.732i | 0.0519269 | + | 0.113704i | ||||
\(65\) | −1418.24 | + | 203.911i | −0.335677 | + | 0.0482631i | ||||
\(66\) | 1025.18 | + | 1595.21i | 0.235348 | + | 0.366209i | ||||
\(67\) | 2673.90 | + | 2316.95i | 0.595657 | + | 0.516140i | 0.899694 | − | 0.436521i | \(-0.143789\pi\) |
−0.304038 | + | 0.952660i | \(0.598335\pi\) | |||||||
\(68\) | 3873.58i | 0.837712i | ||||||||
\(69\) | 2185.13 | − | 1667.60i | 0.458965 | − | 0.350263i | ||||
\(70\) | 139.964 | 0.0285640 | ||||||||
\(71\) | −4844.91 | + | 5591.33i | −0.961101 | + | 1.10917i | 0.0328625 | + | 0.999460i | \(0.489538\pi\) |
−0.993964 | + | 0.109710i | \(0.965008\pi\) | |||||||
\(72\) | 513.956 | − | 330.299i | 0.0991427 | − | 0.0637151i | ||||
\(73\) | −535.590 | − | 3725.11i | −0.100505 | − | 0.699027i | −0.976312 | − | 0.216366i | \(-0.930580\pi\) |
0.875807 | − | 0.482661i | \(-0.160330\pi\) | |||||||
\(74\) | −6630.48 | + | 3028.04i | −1.21083 | + | 0.552966i | ||||
\(75\) | 1242.34 | − | 8640.65i | 0.220860 | − | 1.53612i | ||||
\(76\) | 588.912 | + | 2005.65i | 0.101958 | + | 0.347239i | ||||
\(77\) | −111.873 | − | 71.8964i | −0.0188688 | − | 0.0121262i | ||||
\(78\) | 182.207 | − | 398.978i | 0.0299486 | − | 0.0655783i | ||||
\(79\) | −2923.47 | + | 9956.42i | −0.468430 | + | 1.59533i | 0.299040 | + | 0.954240i | \(0.403333\pi\) |
−0.767470 | + | 0.641085i | \(0.778485\pi\) | |||||||
\(80\) | −2322.16 | + | 2012.17i | −0.362838 | + | 0.314401i | ||||
\(81\) | −477.393 | − | 550.941i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −6792.03 | − | 1994.32i | −1.01012 | − | 0.296597i | ||||
\(83\) | 2451.63 | + | 1119.62i | 0.355875 | + | 0.162523i | 0.585327 | − | 0.810797i | \(-0.300966\pi\) |
−0.229452 | + | 0.973320i | \(0.573693\pi\) | |||||||
\(84\) | −23.1642 | + | 36.0441i | −0.00328290 | + | 0.00510829i | ||||
\(85\) | −22304.8 | + | 6549.29i | −3.08718 | + | 0.906477i | ||||
\(86\) | 7699.64 | + | 1107.04i | 1.04105 | + | 0.149681i | ||||
\(87\) | 539.128 | + | 1180.53i | 0.0712285 | + | 0.155969i | ||||
\(88\) | 2889.71 | − | 415.478i | 0.373155 | − | 0.0536516i | ||||
\(89\) | −953.129 | − | 1483.10i | −0.120329 | − | 0.187236i | 0.775863 | − | 0.630901i | \(-0.217315\pi\) |
−0.896193 | + | 0.443665i | \(0.853678\pi\) | |||||||
\(90\) | 2770.90 | + | 2401.00i | 0.342087 | + | 0.296420i | ||||
\(91\) | 30.7604i | 0.00371458i | ||||||||
\(92\) | −937.878 | − | 4126.77i | −0.110808 | − | 0.487567i | ||||
\(93\) | −724.675 | −0.0837872 | ||||||||
\(94\) | −131.221 | + | 151.437i | −0.0148507 | + | 0.0171387i | ||||
\(95\) | −10553.2 | + | 6782.15i | −1.16933 | + | 0.751484i | ||||
\(96\) | −133.862 | − | 931.030i | −0.0145249 | − | 0.101023i | ||||
\(97\) | −4395.61 | + | 2007.41i | −0.467170 | + | 0.213350i | −0.635070 | − | 0.772455i | \(-0.719029\pi\) |
0.167900 | + | 0.985804i | \(0.446302\pi\) | |||||||
\(98\) | −966.040 | + | 6718.96i | −0.100587 | + | 0.699600i | ||||
\(99\) | −981.440 | − | 3342.48i | −0.100137 | − | 0.341034i | ||||
\(100\) | −11306.4 | − | 7266.19i | −1.13064 | − | 0.726619i | ||||
\(101\) | 1689.99 | − | 3700.57i | 0.165669 | − | 0.362765i | −0.808530 | − | 0.588455i | \(-0.799736\pi\) |
0.974199 | + | 0.225690i | \(0.0724636\pi\) | |||||||
\(102\) | 2004.87 | − | 6827.96i | 0.192702 | − | 0.656282i | ||||
\(103\) | −3703.17 | + | 3208.81i | −0.349059 | + | 0.302462i | −0.811689 | − | 0.584090i | \(-0.801451\pi\) |
0.462630 | + | 0.886552i | \(0.346906\pi\) | |||||||
\(104\) | −442.222 | − | 510.352i | −0.0408859 | − | 0.0471849i | ||||
\(105\) | −246.714 | − | 72.4419i | −0.0223777 | − | 0.00657069i | ||||
\(106\) | −788.749 | − | 360.209i | −0.0701983 | − | 0.0320585i | ||||
\(107\) | 154.840 | − | 240.935i | 0.0135243 | − | 0.0210442i | −0.834426 | − | 0.551121i | \(-0.814200\pi\) |
0.847950 | + | 0.530076i | \(0.177837\pi\) | |||||||
\(108\) | −1076.91 | + | 316.208i | −0.0923273 | + | 0.0271097i | ||||
\(109\) | 20740.8 | + | 2982.08i | 1.74572 | + | 0.250996i | 0.939968 | − | 0.341263i | \(-0.110855\pi\) |
0.805748 | + | 0.592259i | \(0.201764\pi\) | |||||||
\(110\) | 7278.22 | + | 15937.1i | 0.601506 | + | 1.31711i | ||||
\(111\) | 13254.8 | − | 1905.75i | 1.07579 | − | 0.154675i | ||||
\(112\) | 35.6635 | + | 55.4936i | 0.00284308 | + | 0.00442391i | ||||
\(113\) | 9424.28 | + | 8166.19i | 0.738060 | + | 0.639532i | 0.940512 | − | 0.339760i | \(-0.110346\pi\) |
−0.202453 | + | 0.979292i | \(0.564891\pi\) | |||||||
\(114\) | − | 3840.17i | − | 0.295489i | ||||||
\(115\) | 22177.0 | − | 12377.9i | 1.67690 | − | 0.935944i | ||||
\(116\) | 1998.10 | 0.148492 | ||||||||
\(117\) | −527.678 | + | 608.973i | −0.0385476 | + | 0.0444863i | ||||
\(118\) | 10713.7 | − | 6885.26i | 0.769440 | − | 0.494489i | ||||
\(119\) | 71.0245 | + | 493.986i | 0.00501550 | + | 0.0348836i | ||||
\(120\) | 5134.73 | − | 2344.95i | 0.356578 | − | 0.162844i | ||||
\(121\) | 285.428 | − | 1985.20i | 0.0194951 | − | 0.135592i | ||||
\(122\) | 2068.22 | + | 7043.73i | 0.138956 | + | 0.473241i | ||||
\(123\) | 10940.1 | + | 7030.78i | 0.723121 | + | 0.464722i | ||||
\(124\) | −463.483 | + | 1014.89i | −0.0301433 | + | 0.0660046i | ||||
\(125\) | 14269.9 | − | 48599.0i | 0.913276 | − | 3.11033i | ||||
\(126\) | 59.4870 | − | 51.5458i | 0.00374698 | − | 0.00324678i | ||||
\(127\) | 9266.78 | + | 10694.4i | 0.574542 | + | 0.663056i | 0.966422 | − | 0.256960i | \(-0.0827208\pi\) |
−0.391880 | + | 0.920016i | \(0.628175\pi\) | |||||||
\(128\) | −1389.49 | − | 407.992i | −0.0848080 | − | 0.0249019i | ||||
\(129\) | −12999.2 | − | 5936.53i | −0.781154 | − | 0.356741i | ||||
\(130\) | 2191.01 | − | 3409.29i | 0.129646 | − | 0.201733i | ||||
\(131\) | −15144.7 | + | 4446.89i | −0.882508 | + | 0.259128i | −0.691427 | − | 0.722446i | \(-0.743018\pi\) |
−0.191081 | + | 0.981574i | \(0.561199\pi\) | |||||||
\(132\) | −5308.74 | − | 763.282i | −0.304680 | − | 0.0438064i | ||||
\(133\) | 111.877 | + | 244.977i | 0.00632467 | + | 0.0138491i | ||||
\(134\) | −9905.35 | + | 1424.17i | −0.551645 | + | 0.0793146i | ||||
\(135\) | −3641.58 | − | 5666.40i | −0.199812 | − | 0.310914i | ||||
\(136\) | −8280.10 | − | 7174.74i | −0.447670 | − | 0.387908i | ||||
\(137\) | 31843.0i | 1.69657i | 0.529536 | + | 0.848287i | \(0.322366\pi\) | ||||
−0.529536 | + | 0.848287i | \(0.677634\pi\) | |||||||
\(138\) | −482.717 | + | 7759.68i | −0.0253474 | + | 0.407461i | ||||
\(139\) | −4575.12 | −0.236795 | −0.118398 | − | 0.992966i | \(-0.537776\pi\) | ||||
−0.118398 | + | 0.992966i | \(0.537776\pi\) | |||||||
\(140\) | −259.245 | + | 299.184i | −0.0132268 | + | 0.0152645i | ||||
\(141\) | 309.684 | − | 199.022i | 0.0155769 | − | 0.0100107i | ||||
\(142\) | −2978.05 | − | 20712.8i | −0.147691 | − | 1.02722i | ||||
\(143\) | −3502.56 | + | 1599.56i | −0.171283 | + | 0.0782221i | ||||
\(144\) | −245.920 | + | 1710.41i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | 3378.32 | + | 11505.5i | 0.160681 | + | 0.547229i | ||||
\(146\) | 8954.77 | + | 5754.88i | 0.420096 | + | 0.269979i | ||||
\(147\) | 5180.41 | − | 11343.5i | 0.239734 | − | 0.524944i | ||||
\(148\) | 5808.47 | − | 19781.8i | 0.265178 | − | 0.903115i | ||||
\(149\) | −8914.90 | + | 7724.81i | −0.401554 | + | 0.347949i | −0.832105 | − | 0.554618i | \(-0.812865\pi\) |
0.430551 | + | 0.902566i | \(0.358319\pi\) | |||||||
\(150\) | 16169.0 | + | 18660.0i | 0.718623 | + | 0.829335i | ||||
\(151\) | −1756.33 | − | 515.704i | −0.0770285 | − | 0.0226176i | 0.242991 | − | 0.970028i | \(-0.421871\pi\) |
−0.320020 | + | 0.947411i | \(0.603690\pi\) | |||||||
\(152\) | −5378.04 | − | 2456.07i | −0.232775 | − | 0.106305i | ||||
\(153\) | −7067.98 | + | 10998.0i | −0.301934 | + | 0.469819i | ||||
\(154\) | 360.899 | − | 105.969i | 0.0152175 | − | 0.00446827i | ||||
\(155\) | −6627.56 | − | 952.899i | −0.275861 | − | 0.0396628i | ||||
\(156\) | 515.360 | + | 1128.48i | 0.0211769 | + | 0.0463708i | ||||
\(157\) | 11103.9 | − | 1596.50i | 0.450481 | − | 0.0647694i | 0.0866595 | − | 0.996238i | \(-0.472381\pi\) |
0.363822 | + | 0.931469i | \(0.381472\pi\) | |||||||
\(158\) | −15867.8 | − | 24690.7i | −0.635625 | − | 0.989052i | ||||
\(159\) | 1203.89 | + | 1043.18i | 0.0476204 | + | 0.0412633i | ||||
\(160\) | − | 8690.80i | − | 0.339485i | ||||||
\(161\) | −195.272 | − | 509.078i | −0.00753334 | − | 0.0196396i | ||||
\(162\) | 2061.92 | 0.0785674 | ||||||||
\(163\) | 6269.33 | − | 7235.20i | 0.235964 | − | 0.272317i | −0.625401 | − | 0.780304i | \(-0.715065\pi\) |
0.861365 | + | 0.507986i | \(0.169610\pi\) | |||||||
\(164\) | 16843.4 | − | 10824.6i | 0.626242 | − | 0.402461i | ||||
\(165\) | −4580.68 | − | 31859.3i | −0.168253 | − | 1.17022i | ||||
\(166\) | −6934.25 | + | 3166.76i | −0.251642 | + | 0.114921i | ||||
\(167\) | −6191.45 | + | 43062.5i | −0.222003 | + | 1.54407i | 0.508443 | + | 0.861096i | \(0.330221\pi\) |
−0.730446 | + | 0.682971i | \(0.760688\pi\) | |||||||
\(168\) | −34.1420 | − | 116.277i | −0.00120968 | − | 0.00411980i | ||||
\(169\) | −23277.8 | − | 14959.7i | −0.815019 | − | 0.523781i | ||||
\(170\) | 27314.0 | − | 59809.2i | 0.945120 | − | 2.06952i | ||||
\(171\) | −1987.58 | + | 6769.07i | −0.0679723 | + | 0.231492i | ||||
\(172\) | −16627.9 | + | 14408.1i | −0.562056 | + | 0.487024i | ||||
\(173\) | 18146.2 | + | 20941.8i | 0.606307 | + | 0.699715i | 0.973047 | − | 0.230608i | \(-0.0740716\pi\) |
−0.366740 | + | 0.930323i | \(0.619526\pi\) | |||||||
\(174\) | −3522.06 | − | 1034.17i | −0.116332 | − | 0.0341581i | ||||
\(175\) | −1575.10 | − | 719.326i | −0.0514320 | − | 0.0234882i | ||||
\(176\) | −4464.28 | + | 6946.56i | −0.144121 | + | 0.224256i | ||||
\(177\) | −22448.7 | + | 6591.52i | −0.716545 | + | 0.210397i | ||||
\(178\) | 4935.66 | + | 709.640i | 0.155778 | + | 0.0223974i | ||||
\(179\) | −15916.2 | − | 34851.6i | −0.496745 | − | 1.08772i | −0.977514 | − | 0.210872i | \(-0.932370\pi\) |
0.480768 | − | 0.876848i | \(-0.340358\pi\) | |||||||
\(180\) | −10264.7 | + | 1475.84i | −0.316811 | + | 0.0455506i | ||||
\(181\) | 9434.60 | + | 14680.5i | 0.287983 | + | 0.448110i | 0.954859 | − | 0.297058i | \(-0.0960056\pi\) |
−0.666877 | + | 0.745168i | \(0.732369\pi\) | |||||||
\(182\) | −65.7529 | − | 56.9752i | −0.00198505 | − | 0.00172006i | ||||
\(183\) | − | 13486.4i | − | 0.402713i | ||||||
\(184\) | 10558.5 | + | 5638.91i | 0.311864 | + | 0.166556i | ||||
\(185\) | 123728. | 3.61515 | ||||||||
\(186\) | 1342.26 | − | 1549.05i | 0.0387982 | − | 0.0447755i | ||||
\(187\) | −52554.8 | + | 33774.9i | −1.50290 | + | 0.965853i | ||||
\(188\) | −80.6585 | − | 560.992i | −0.00228210 | − | 0.0158723i | ||||
\(189\) | −131.537 | + | 60.0708i | −0.00368234 | + | 0.00168167i | ||||
\(190\) | 5049.56 | − | 35120.5i | 0.139877 | − | 0.972866i | ||||
\(191\) | 3376.03 | + | 11497.7i | 0.0925422 | + | 0.315170i | 0.992735 | − | 0.120322i | \(-0.0383927\pi\) |
−0.900193 | + | 0.435492i | \(0.856575\pi\) | |||||||
\(192\) | 2238.10 | + | 1438.34i | 0.0607122 | + | 0.0390174i | ||||
\(193\) | 9685.18 | − | 21207.6i | 0.260012 | − | 0.569347i | −0.733934 | − | 0.679221i | \(-0.762318\pi\) |
0.993945 | + | 0.109875i | \(0.0350449\pi\) | |||||||
\(194\) | 3850.66 | − | 13114.1i | 0.102313 | − | 0.348447i | ||||
\(195\) | −5626.67 | + | 4875.54i | −0.147973 | + | 0.128219i | ||||
\(196\) | −12573.0 | − | 14510.0i | −0.327285 | − | 0.377708i | ||||
\(197\) | −55886.2 | − | 16409.7i | −1.44003 | − | 0.422831i | −0.533799 | − | 0.845611i | \(-0.679236\pi\) |
−0.906232 | + | 0.422780i | \(0.861054\pi\) | |||||||
\(198\) | 8962.67 | + | 4093.11i | 0.228616 | + | 0.104406i | ||||
\(199\) | −15250.4 | + | 23730.1i | −0.385102 | + | 0.599230i | −0.978641 | − | 0.205574i | \(-0.934094\pi\) |
0.593539 | + | 0.804805i | \(0.297730\pi\) | |||||||
\(200\) | 36474.1 | − | 10709.8i | 0.911853 | − | 0.267744i | ||||
\(201\) | 18197.3 | + | 2616.37i | 0.450417 | + | 0.0647601i | ||||
\(202\) | 4780.02 | + | 10466.8i | 0.117146 | + | 0.256514i | ||||
\(203\) | 254.812 | − | 36.6365i | 0.00618342 | − | 0.000889041i | ||||
\(204\) | 10881.9 | + | 16932.5i | 0.261483 | + | 0.406875i | ||||
\(205\) | 90808.3 | + | 78685.8i | 2.16082 | + | 1.87236i | ||||
\(206\) | − | 13859.3i | − | 0.326592i | ||||||
\(207\) | 4867.11 | − | 13428.2i | 0.113587 | − | 0.313383i | ||||
\(208\) | 1910.01 | 0.0441479 | ||||||||
\(209\) | −22076.8 | + | 25477.9i | −0.505409 | + | 0.583273i | ||||
\(210\) | 611.821 | − | 393.194i | 0.0138735 | − | 0.00891595i | ||||
\(211\) | 7866.25 | + | 54711.0i | 0.176686 | + | 1.22888i | 0.864365 | + | 0.502865i | \(0.167721\pi\) |
−0.687679 | + | 0.726015i | \(0.741370\pi\) | |||||||
\(212\) | 2230.92 | − | 1018.83i | 0.0496377 | − | 0.0226688i | ||||
\(213\) | −5471.03 | + | 38051.8i | −0.120590 | + | 0.838719i | ||||
\(214\) | 228.221 | + | 777.249i | 0.00498343 | + | 0.0169720i | ||||
\(215\) | −111079. | − | 71385.9i | −2.40300 | − | 1.54431i | ||||
\(216\) | 1318.75 | − | 2887.66i | 0.0282654 | − | 0.0618926i | ||||
\(217\) | −40.4981 | + | 137.924i | −0.000860032 | + | 0.00292900i | ||||
\(218\) | −44791.2 | + | 38811.8i | −0.942496 | + | 0.816678i | ||||
\(219\) | −12806.0 | − | 14778.9i | −0.267009 | − | 0.308144i | ||||
\(220\) | −47547.7 | − | 13961.3i | −0.982391 | − | 0.288456i | ||||
\(221\) | 13144.5 | + | 6002.90i | 0.269129 | + | 0.122907i | ||||
\(222\) | −20477.2 | + | 31863.1i | −0.415494 | + | 0.646521i | ||||
\(223\) | −19233.0 | + | 5647.31i | −0.386755 | + | 0.113562i | −0.469329 | − | 0.883023i | \(-0.655504\pi\) |
0.0825737 | + | 0.996585i | \(0.473686\pi\) | |||||||
\(224\) | −184.679 | − | 26.5528i | −0.00368062 | − | 0.000529194i | ||||
\(225\) | −18843.2 | − | 41260.8i | −0.372211 | − | 0.815028i | ||||
\(226\) | −34911.8 | + | 5019.56i | −0.683527 | + | 0.0982763i | ||||
\(227\) | −35157.2 | − | 54705.6i | −0.682279 | − | 1.06165i | −0.993776 | − | 0.111400i | \(-0.964467\pi\) |
0.311497 | − | 0.950247i | \(-0.399170\pi\) | |||||||
\(228\) | 8208.68 | + | 7112.86i | 0.157908 | + | 0.136828i | ||||
\(229\) | − | 9449.87i | − | 0.180200i | −0.995933 | − | 0.0901000i | \(-0.971281\pi\) | ||
0.995933 | − | 0.0901000i | \(-0.0287187\pi\) | |||||||
\(230\) | −14618.2 | + | 70331.8i | −0.276336 | + | 1.32952i | ||||
\(231\) | −691.004 | −0.0129496 | ||||||||
\(232\) | −3700.94 | + | 4271.11i | −0.0687600 | + | 0.0793533i | ||||
\(233\) | 67884.5 | − | 43626.7i | 1.25043 | − | 0.803601i | 0.263484 | − | 0.964664i | \(-0.415128\pi\) |
0.986944 | + | 0.161062i | \(0.0514920\pi\) | |||||||
\(234\) | −324.351 | − | 2255.91i | −0.00592357 | − | 0.0411994i | ||||
\(235\) | 3093.93 | − | 1412.95i | 0.0560241 | − | 0.0255853i | ||||
\(236\) | −5126.33 | + | 35654.4i | −0.0920413 | + | 0.640161i | ||||
\(237\) | 15190.8 | + | 51735.1i | 0.270448 | + | 0.921061i | ||||
\(238\) | −1187.49 | − | 763.154i | −0.0209641 | − | 0.0134728i | ||||
\(239\) | −12335.1 | + | 27010.0i | −0.215946 | + | 0.472856i | −0.986342 | − | 0.164710i | \(-0.947331\pi\) |
0.770396 | + | 0.637566i | \(0.220059\pi\) | |||||||
\(240\) | −4498.15 | + | 15319.3i | −0.0780929 | + | 0.265960i | ||||
\(241\) | −34955.0 | + | 30288.7i | −0.601831 | + | 0.521490i | −0.901627 | − | 0.432513i | \(-0.857627\pi\) |
0.299796 | + | 0.954003i | \(0.403081\pi\) | |||||||
\(242\) | 3714.85 | + | 4287.16i | 0.0634322 | + | 0.0732047i | ||||
\(243\) | −3634.55 | − | 1067.20i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | −18887.4 | − | 8625.57i | −0.317243 | − | 0.144880i | ||||
\(245\) | 62293.6 | − | 96930.8i | 1.03780 | − | 1.61484i | ||||
\(246\) | −35292.4 | + | 10362.8i | −0.583191 | + | 0.171240i | ||||
\(247\) | 7718.57 | + | 1109.76i | 0.126515 | + | 0.0181901i | ||||
\(248\) | −1310.93 | − | 2870.53i | −0.0213145 | − | 0.0466723i | ||||
\(249\) | 13862.0 | − | 1993.06i | 0.223578 | − | 0.0321456i | ||||
\(250\) | 77453.1 | + | 120519.i | 1.23925 | + | 1.92831i | ||||
\(251\) | −16003.2 | − | 13866.8i | −0.254014 | − | 0.220105i | 0.518540 | − | 0.855053i | \(-0.326476\pi\) |
−0.772554 | + | 0.634949i | \(0.781021\pi\) | |||||||
\(252\) | 222.633i | 0.00350581i | ||||||||
\(253\) | 47812.3 | − | 48707.2i | 0.746962 | − | 0.760943i | ||||
\(254\) | −40024.4 | −0.620380 | ||||||||
\(255\) | −79102.1 | + | 91288.7i | −1.21649 | + | 1.40390i | ||||
\(256\) | 3445.77 | − | 2214.46i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 4791.53 | + | 33325.9i | 0.0725451 | + | 0.504563i | 0.993404 | + | 0.114667i | \(0.0365800\pi\) |
−0.920859 | + | 0.389896i | \(0.872511\pi\) | |||||||
\(258\) | 36767.2 | − | 16791.0i | 0.552359 | − | 0.252254i | ||||
\(259\) | 378.025 | − | 2629.22i | 0.00563535 | − | 0.0391947i | ||||
\(260\) | 3229.38 | + | 10998.2i | 0.0477718 | + | 0.162696i | ||||
\(261\) | 5673.08 | + | 3645.87i | 0.0832794 | + | 0.0535204i | ||||
\(262\) | 18545.8 | − | 40609.7i | 0.270174 | − | 0.591599i | ||||
\(263\) | −23422.9 | + | 79771.1i | −0.338633 | + | 1.15328i | 0.597569 | + | 0.801817i | \(0.296133\pi\) |
−0.936202 | + | 0.351461i | \(0.885685\pi\) | |||||||
\(264\) | 11464.6 | − | 9934.10i | 0.164494 | − | 0.142535i | ||||
\(265\) | 9638.55 | + | 11123.5i | 0.137252 | + | 0.158398i | ||||
\(266\) | −730.880 | − | 214.606i | −0.0103296 | − | 0.00303304i | ||||
\(267\) | −8332.79 | − | 3805.46i | −0.116888 | − | 0.0533807i | ||||
\(268\) | 15302.6 | − | 23811.4i | 0.213058 | − | 0.331524i | ||||
\(269\) | 51956.3 | − | 15255.8i | 0.718016 | − | 0.210828i | 0.0977396 | − | 0.995212i | \(-0.468839\pi\) |
0.620276 | + | 0.784384i | \(0.287021\pi\) | |||||||
\(270\) | 18857.4 | + | 2711.29i | 0.258675 | + | 0.0371919i | ||||
\(271\) | 21226.7 | + | 46480.1i | 0.289031 | + | 0.632890i | 0.997330 | − | 0.0730224i | \(-0.0232645\pi\) |
−0.708299 | + | 0.705912i | \(0.750537\pi\) | |||||||
\(272\) | 30673.2 | − | 4410.14i | 0.414593 | − | 0.0596094i | ||||
\(273\) | 86.4138 | + | 134.462i | 0.00115946 | + | 0.00180416i | ||||
\(274\) | −68067.1 | − | 58980.4i | −0.906642 | − | 0.785610i | ||||
\(275\) | − | 216756.i | − | 2.86619i | ||||||
\(276\) | −15692.9 | − | 15404.5i | −0.206008 | − | 0.202223i | ||||
\(277\) | 18672.2 | 0.243353 | 0.121676 | − | 0.992570i | \(-0.461173\pi\) | ||||
0.121676 | + | 0.992570i | \(0.461173\pi\) | |||||||
\(278\) | 8474.15 | − | 9779.69i | 0.109650 | − | 0.126542i | ||||
\(279\) | −3167.76 | + | 2035.80i | −0.0406953 | + | 0.0261533i | ||||
\(280\) | −159.351 | − | 1108.31i | −0.00203254 | − | 0.0141366i | ||||
\(281\) | −86945.0 | + | 39706.4i | −1.10111 | + | 0.502861i | −0.881241 | − | 0.472667i | \(-0.843291\pi\) |
−0.219872 | + | 0.975529i | \(0.570564\pi\) | |||||||
\(282\) | −148.179 | + | 1030.61i | −0.00186333 | + | 0.0129597i | ||||
\(283\) | −43801.6 | − | 149174.i | −0.546911 | − | 1.86261i | −0.504322 | − | 0.863516i | \(-0.668257\pi\) |
−0.0425896 | − | 0.999093i | \(-0.513561\pi\) | |||||||
\(284\) | 49791.3 | + | 31998.9i | 0.617330 | + | 0.396734i | ||||
\(285\) | −27078.4 | + | 59293.4i | −0.333375 | + | 0.729989i | ||||
\(286\) | 3068.33 | − | 10449.8i | 0.0375119 | − | 0.127754i | ||||
\(287\) | 1949.51 | − | 1689.26i | 0.0236681 | − | 0.0205085i | ||||
\(288\) | −3200.65 | − | 3693.74i | −0.0385880 | − | 0.0445330i | ||||
\(289\) | 144813. | + | 42520.8i | 1.73385 | + | 0.509103i | ||||
\(290\) | −30851.3 | − | 14089.3i | −0.366841 | − | 0.167531i | ||||
\(291\) | −13575.1 | + | 21123.3i | −0.160309 | + | 0.249446i | ||||
\(292\) | −28887.8 | + | 8482.22i | −0.338804 | + | 0.0994819i | ||||
\(293\) | −96973.2 | − | 13942.6i | −1.12958 | − | 0.162409i | −0.447916 | − | 0.894075i | \(-0.647834\pi\) |
−0.681663 | + | 0.731667i | \(0.738743\pi\) | |||||||
\(294\) | 14652.4 | + | 32084.3i | 0.169517 | + | 0.371191i | ||||
\(295\) | −213973. | + | 30764.6i | −2.45875 | + | 0.353515i | ||||
\(296\) | 31526.7 | + | 49056.5i | 0.359828 | + | 0.559903i | ||||
\(297\) | −13680.0 | − | 11853.8i | −0.155086 | − | 0.134383i | ||||
\(298\) | − | 33364.4i | − | 0.375709i | ||||||
\(299\) | −15457.1 | − | 3212.69i | −0.172896 | − | 0.0359358i | ||||
\(300\) | −69836.1 | −0.775956 | ||||||||
\(301\) | −1856.32 | + | 2142.31i | −0.0204890 | + | 0.0236455i | ||||
\(302\) | 4355.47 | − | 2799.09i | 0.0477553 | − | 0.0306905i | ||||
\(303\) | −3008.39 | − | 20923.8i | −0.0327680 | − | 0.227906i | ||||
\(304\) | 15211.4 | − | 6946.81i | 0.164597 | − | 0.0751689i | ||||
\(305\) | 17733.8 | − | 123341.i | 0.190634 | − | 1.32589i | ||||
\(306\) | −10417.6 | − | 35479.1i | −0.111257 | − | 0.378905i | ||||
\(307\) | −14159.8 | − | 9099.94i | −0.150238 | − | 0.0965521i | 0.463362 | − | 0.886169i | \(-0.346643\pi\) |
−0.613600 | + | 0.789617i | \(0.710279\pi\) | |||||||
\(308\) | −441.948 | + | 967.730i | −0.00465875 | + | 0.0102012i | ||||
\(309\) | −7173.23 | + | 24429.8i | −0.0751273 | + | 0.255860i | ||||
\(310\) | 14312.6 | − | 12402.0i | 0.148935 | − | 0.129053i | ||||
\(311\) | 18948.9 | + | 21868.2i | 0.195913 | + | 0.226096i | 0.845203 | − | 0.534445i | \(-0.179479\pi\) |
−0.649290 | + | 0.760541i | \(0.724934\pi\) | |||||||
\(312\) | −3366.78 | − | 988.577i | −0.0345864 | − | 0.0101555i | ||||
\(313\) | 68612.0 | + | 31334.0i | 0.700344 | + | 0.319836i | 0.733572 | − | 0.679612i | \(-0.237852\pi\) |
−0.0332285 | + | 0.999448i | \(0.510579\pi\) | |||||||
\(314\) | −17154.3 | + | 26692.6i | −0.173986 | + | 0.270727i | ||||
\(315\) | −1281.97 | + | 376.419i | −0.0129198 | + | 0.00379359i | ||||
\(316\) | 82169.1 | + | 11814.1i | 0.822876 | + | 0.118312i | ||||
\(317\) | −11537.5 | − | 25263.7i | −0.114814 | − | 0.251407i | 0.843498 | − | 0.537133i | \(-0.180493\pi\) |
−0.958311 | + | 0.285726i | \(0.907765\pi\) | |||||||
\(318\) | −4459.76 | + | 641.217i | −0.0441019 | + | 0.00634090i | ||||
\(319\) | 17422.1 | + | 27109.3i | 0.171206 | + | 0.266401i | ||||
\(320\) | 18577.3 | + | 16097.3i | 0.181419 | + | 0.157200i | ||||
\(321\) | − | 1488.18i | − | 0.0144426i | ||||||
\(322\) | 1449.88 | + | 525.518i | 0.0139837 | + | 0.00506846i | ||||
\(323\) | 126516. | 1.21267 | ||||||||
\(324\) | −3819.15 | + | 4407.53i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | −42178.5 | + | 27106.5i | −0.399323 | + | 0.256629i | ||||
\(326\) | 3853.61 | + | 26802.4i | 0.0362604 | + | 0.252197i | ||||
\(327\) | 99041.5 | − | 45230.7i | 0.926236 | − | 0.422998i | ||||
\(328\) | −8059.31 | + | 56053.7i | −0.0749118 | + | 0.521023i | ||||
\(329\) | −20.5723 | − | 70.0628i | −0.000190060 | − | 0.000647285i | ||||
\(330\) | 76586.4 | + | 49219.1i | 0.703273 | + | 0.451966i | ||||
\(331\) | 15792.8 | − | 34581.3i | 0.144146 | − | 0.315636i | −0.823764 | − | 0.566933i | \(-0.808130\pi\) |
0.967910 | + | 0.251297i | \(0.0808572\pi\) | |||||||
\(332\) | 6074.57 | − | 20688.1i | 0.0551111 | − | 0.187691i | ||||
\(333\) | 52586.7 | − | 45566.7i | 0.474229 | − | 0.410921i | ||||
\(334\) | −80581.6 | − | 92996.2i | −0.722342 | − | 0.833628i | ||||
\(335\) | 162984. | + | 47856.4i | 1.45230 | + | 0.426432i | ||||
\(336\) | 311.791 | + | 142.390i | 0.00276175 | + | 0.00126125i | ||||
\(337\) | 30234.0 | − | 47045.0i | 0.266217 | − | 0.414241i | −0.682250 | − | 0.731119i | \(-0.738998\pi\) |
0.948466 | + | 0.316878i | \(0.102635\pi\) | |||||||
\(338\) | 75093.3 | − | 22049.4i | 0.657306 | − | 0.193003i | ||||
\(339\) | 64137.1 | + | 9221.52i | 0.558097 | + | 0.0802423i | ||||
\(340\) | 77255.5 | + | 169166.i | 0.668300 | + | 1.46337i | ||||
\(341\) | −17810.7 | + | 2560.79i | −0.153170 | + | 0.0220225i | ||||
\(342\) | −10788.0 | − | 16786.5i | −0.0922335 | − | 0.143518i | ||||
\(343\) | −3739.72 | − | 3240.49i | −0.0317871 | − | 0.0275437i | ||||
\(344\) | − | 62230.5i | − | 0.525880i | ||||||
\(345\) | 62169.5 | − | 116408.i | 0.522323 | − | 0.978013i | ||||
\(346\) | −78375.5 | −0.654679 | ||||||||
\(347\) | 57267.0 | − | 66089.6i | 0.475604 | − | 0.548876i | −0.466358 | − | 0.884596i | \(-0.654434\pi\) |
0.941962 | + | 0.335720i | \(0.108980\pi\) | |||||||
\(348\) | 8734.28 | − | 5613.18i | 0.0721221 | − | 0.0463501i | ||||
\(349\) | −28926.5 | − | 201188.i | −0.237489 | − | 1.65178i | −0.664323 | − | 0.747445i | \(-0.731280\pi\) |
0.426834 | − | 0.904330i | \(-0.359629\pi\) | |||||||
\(350\) | 4455.07 | − | 2034.56i | 0.0363679 | − | 0.0166087i | ||||
\(351\) | −595.871 | + | 4144.37i | −0.00483658 | + | 0.0336391i | ||||
\(352\) | −6579.99 | − | 22409.4i | −0.0531055 | − | 0.180861i | ||||
\(353\) | 47380.6 | + | 30449.6i | 0.380234 | + | 0.244362i | 0.716771 | − | 0.697309i | \(-0.245619\pi\) |
−0.336537 | + | 0.941670i | \(0.609256\pi\) | |||||||
\(354\) | 27490.1 | − | 60194.8i | 0.219366 | − | 0.480344i | ||||
\(355\) | −100071. | + | 340811.i | −0.794058 | + | 2.70431i | ||||
\(356\) | −10658.9 | + | 9235.96i | −0.0841029 | + | 0.0728756i | ||||
\(357\) | 1698.20 | + | 1959.83i | 0.0133246 | + | 0.0153774i | ||||
\(358\) | 103979. | + | 30530.9i | 0.811294 | + | 0.238217i | ||||
\(359\) | 104812. | + | 47865.8i | 0.813243 | + | 0.371395i | 0.778221 | − | 0.627991i | \(-0.216123\pi\) |
0.0350221 | + | 0.999387i | \(0.488850\pi\) | |||||||
\(360\) | 15857.8 | − | 24675.2i | 0.122359 | − | 0.190395i | ||||
\(361\) | −59534.9 | + | 17481.0i | −0.456833 | + | 0.134138i | ||||
\(362\) | −48855.9 | − | 7024.41i | −0.372820 | − | 0.0536035i | ||||
\(363\) | −4329.23 | − | 9479.70i | −0.0328547 | − | 0.0719418i | ||||
\(364\) | 243.579 | − | 35.0213i | 0.00183838 | − | 0.000264320i | ||||
\(365\) | −97684.7 | − | 152000.i | −0.733231 | − | 1.14093i | ||||
\(366\) | 28828.4 | + | 24979.9i | 0.215208 | + | 0.186479i | ||||
\(367\) | − | 201284.i | − | 1.49443i | −0.664581 | − | 0.747217i | \(-0.731390\pi\) | ||
0.664581 | − | 0.747217i | \(-0.268610\pi\) | |||||||
\(368\) | −31610.3 | + | 12125.1i | −0.233417 | + | 0.0895340i | ||||
\(369\) | 67573.5 | 0.496277 | ||||||||
\(370\) | −229173. | + | 264480.i | −1.67402 | + | 1.93192i | ||||
\(371\) | 265.822 | − | 170.833i | 0.00193127 | − | 0.00124115i | ||||
\(372\) | 825.056 | + | 5738.39i | 0.00596208 | + | 0.0414672i | ||||
\(373\) | 164888. | − | 75301.6i | 1.18514 | − | 0.541236i | 0.277395 | − | 0.960756i | \(-0.410529\pi\) |
0.907746 | + | 0.419520i | \(0.137802\pi\) | |||||||
\(374\) | 25146.7 | − | 174899.i | 0.179778 | − | 1.25039i | ||||
\(375\) | −74148.8 | − | 252528.i | −0.527280 | − | 1.79575i | ||||
\(376\) | 1348.56 | + | 866.670i | 0.00953885 | + | 0.00613025i | ||||
\(377\) | 3096.47 | − | 6780.32i | 0.0217863 | − | 0.0477054i | ||||
\(378\) | 115.229 | − | 392.435i | 0.000806454 | − | 0.00274653i | ||||
\(379\) | 38940.6 | − | 33742.3i | 0.271097 | − | 0.234907i | −0.508693 | − | 0.860948i | \(-0.669871\pi\) |
0.779790 | + | 0.626041i | \(0.215326\pi\) | |||||||
\(380\) | 65720.0 | + | 75844.9i | 0.455124 | + | 0.525242i | ||||
\(381\) | 70551.1 | + | 20715.7i | 0.486020 | + | 0.142708i | ||||
\(382\) | −30830.5 | − | 14079.8i | −0.211278 | − | 0.0964872i | ||||
\(383\) | 121497. | − | 189053.i | 0.828261 | − | 1.28880i | −0.126662 | − | 0.991946i | \(-0.540426\pi\) |
0.954923 | − | 0.296854i | \(-0.0959373\pi\) | |||||||
\(384\) | −7220.02 | + | 2119.99i | −0.0489639 | + | 0.0143771i | ||||
\(385\) | −6319.61 | − | 908.623i | −0.0426353 | − | 0.00613003i | ||||
\(386\) | 27393.8 | + | 59984.1i | 0.183856 | + | 0.402589i | ||||
\(387\) | −73500.3 | + | 10567.7i | −0.490758 | + | 0.0705603i | ||||
\(388\) | 20900.3 | + | 32521.5i | 0.138832 | + | 0.216026i | ||||
\(389\) | 54322.6 | + | 47070.8i | 0.358989 | + | 0.311066i | 0.815617 | − | 0.578592i | \(-0.196398\pi\) |
−0.456628 | + | 0.889658i | \(0.650943\pi\) | |||||||
\(390\) | − | 21058.1i | − | 0.138449i | ||||||
\(391\) | −255646. | − | 15903.3i | −1.67219 | − | 0.104024i | ||||
\(392\) | 54304.4 | 0.353397 | ||||||||
\(393\) | −53709.4 | + | 61984.0i | −0.347748 | + | 0.401323i | ||||
\(394\) | 138591. | − | 89066.9i | 0.892775 | − | 0.573752i | ||||
\(395\) | 70900.1 | + | 493121.i | 0.454415 | + | 3.16052i | ||||
\(396\) | −25350.3 | + | 11577.1i | −0.161656 | + | 0.0738259i | ||||
\(397\) | −4531.10 | + | 31514.5i | −0.0287490 | + | 0.199954i | −0.999134 | − | 0.0416102i | \(-0.986751\pi\) |
0.970385 | + | 0.241564i | \(0.0776603\pi\) | |||||||
\(398\) | −22477.9 | − | 76552.6i | −0.141902 | − | 0.483274i | ||||
\(399\) | 1177.25 | + | 756.571i | 0.00739473 | + | 0.00475230i | ||||
\(400\) | −44665.3 | + | 97803.3i | −0.279158 | + | 0.611271i | ||||
\(401\) | −79658.5 | + | 271292.i | −0.495386 | + | 1.68713i | 0.209501 | + | 0.977808i | \(0.432816\pi\) |
−0.704887 | + | 0.709320i | \(0.749002\pi\) | |||||||
\(402\) | −39298.2 | + | 34052.1i | −0.243176 | + | 0.210713i | ||||
\(403\) | 2725.63 | + | 3145.55i | 0.0167825 | + | 0.0193681i | ||||
\(404\) | −31227.3 | − | 9169.16i | −0.191325 | − | 0.0561781i | ||||
\(405\) | −31836.7 | − | 14539.3i | −0.194097 | − | 0.0886410i | ||||
\(406\) | −393.657 | + | 612.542i | −0.00238817 | + | 0.00371607i | ||||
\(407\) | 319036. | − | 93677.3i | 1.92597 | − | 0.565517i | ||||
\(408\) | −56350.3 | − | 8101.95i | −0.338513 | − | 0.0486709i | ||||
\(409\) | −132229. | − | 289541.i | −0.790461 | − | 1.73087i | −0.675327 | − | 0.737518i | \(-0.735998\pi\) |
−0.115134 | − | 0.993350i | \(-0.536730\pi\) | |||||||
\(410\) | −336395. | + | 48366.3i | −2.00116 | + | 0.287723i | ||||
\(411\) | 89455.0 | + | 139195.i | 0.529567 | + | 0.824023i | ||||
\(412\) | 29625.4 | + | 25670.5i | 0.174530 | + | 0.151231i | ||||
\(413\) | 4640.90i | 0.0272083i | ||||||||
\(414\) | 19688.8 | + | 35275.8i | 0.114873 | + | 0.205815i | ||||
\(415\) | 129397. | 0.751324 | ||||||||
\(416\) | −3537.78 | + | 4082.81i | −0.0204430 | + | 0.0235924i | ||||
\(417\) | −19999.1 | + | 12852.7i | −0.115011 | + | 0.0739130i | ||||
\(418\) | −13570.1 | − | 94381.8i | −0.0776656 | − | 0.540176i | ||||
\(419\) | −123997. | + | 56627.4i | −0.706288 | + | 0.322551i | −0.735976 | − | 0.677008i | \(-0.763276\pi\) |
0.0296871 | + | 0.999559i | \(0.490549\pi\) | |||||||
\(420\) | −292.747 | + | 2036.10i | −0.00165956 | + | 0.0115425i | ||||
\(421\) | −39709.6 | − | 135239.i | −0.224043 | − | 0.763021i | −0.992406 | − | 0.123006i | \(-0.960747\pi\) |
0.768363 | − | 0.640014i | \(-0.221072\pi\) | |||||||
\(422\) | −131519. | − | 84522.3i | −0.738524 | − | 0.474620i | ||||
\(423\) | 794.613 | − | 1739.96i | 0.00444094 | − | 0.00972431i | ||||
\(424\) | −1954.34 | + | 6655.87i | −0.0108710 | + | 0.0370231i | ||||
\(425\) | −614764. | + | 532696.i | −3.40354 | + | 2.94918i | ||||
\(426\) | −71205.4 | − | 82175.4i | −0.392368 | − | 0.452817i | ||||
\(427\) | −2566.81 | − | 753.682i | −0.0140779 | − | 0.00413364i | ||||
\(428\) | −2084.15 | − | 951.800i | −0.0113774 | − | 0.00519587i | ||||
\(429\) | −10817.1 | + | 16831.7i | −0.0587754 | + | 0.0914563i | ||||
\(430\) | 358336. | − | 105217.i | 1.93800 | − | 0.569048i | ||||
\(431\) | −323819. | − | 46558.2i | −1.74320 | − | 0.250635i | −0.804156 | − | 0.594419i | \(-0.797382\pi\) |
−0.939049 | + | 0.343784i | \(0.888291\pi\) | |||||||
\(432\) | 3729.99 | + | 8167.54i | 0.0199867 | + | 0.0437647i | ||||
\(433\) | 79464.5 | − | 11425.3i | 0.423836 | − | 0.0609384i | 0.0729029 | − | 0.997339i | \(-0.476774\pi\) |
0.350933 | + | 0.936401i | \(0.385865\pi\) | |||||||
\(434\) | −219.812 | − | 342.034i | −0.00116700 | − | 0.00181589i | ||||
\(435\) | 47089.4 | + | 40803.2i | 0.248854 | + | 0.215633i | ||||
\(436\) | − | 167633.i | − | 0.881834i | ||||||
\(437\) | −134786. | + | 30632.3i | −0.705798 | + | 0.160405i | ||||
\(438\) | 55310.8 | 0.288311 | ||||||||
\(439\) | −86954.8 | + | 100351.i | −0.451195 | + | 0.520707i | −0.935086 | − | 0.354422i | \(-0.884678\pi\) |
0.483891 | + | 0.875128i | \(0.339223\pi\) | |||||||
\(440\) | 117912. | − | 75777.7i | 0.609052 | − | 0.391414i | ||||
\(441\) | −9221.76 | − | 64138.8i | −0.0474173 | − | 0.329794i | ||||
\(442\) | −37178.3 | + | 16978.8i | −0.190303 | + | 0.0869084i | ||||
\(443\) | −388.661 | + | 2703.20i | −0.00198045 | + | 0.0137743i | −0.990788 | − | 0.135424i | \(-0.956760\pi\) |
0.988807 | + | 0.149199i | \(0.0476694\pi\) | |||||||
\(444\) | −30181.7 | − | 102789.i | −0.153101 | − | 0.521413i | ||||
\(445\) | −71204.1 | − | 45760.1i | −0.359571 | − | 0.231082i | ||||
\(446\) | 23552.2 | − | 51572.1i | 0.118403 | − | 0.259266i | ||||
\(447\) | −17268.6 | + | 58811.5i | −0.0864256 | + | 0.294339i | ||||
\(448\) | 398.826 | − | 345.585i | 0.00198714 | − | 0.00172186i | ||||
\(449\) | 149434. | + | 172456.i | 0.741235 | + | 0.855430i | 0.993688 | − | 0.112179i | \(-0.0357829\pi\) |
−0.252454 | + | 0.967609i | \(0.581237\pi\) | |||||||
\(450\) | 123100. | + | 36145.5i | 0.607902 | + | 0.178496i | ||||
\(451\) | 293725. | + | 134140.i | 1.44407 | + | 0.659485i | ||||
\(452\) | 53934.8 | − | 83924.2i | 0.263993 | − | 0.410781i | ||||
\(453\) | −9126.14 | + | 2679.68i | −0.0444724 | + | 0.0130583i | ||||
\(454\) | 182057. | + | 26175.8i | 0.883273 | + | 0.126996i | ||||
\(455\) | 613.493 | + | 1343.36i | 0.00296337 | + | 0.00648889i | ||||
\(456\) | −30408.7 | + | 4372.10i | −0.146240 | + | 0.0210262i | ||||
\(457\) | 82351.8 | + | 128142.i | 0.394313 | + | 0.613563i | 0.980478 | − | 0.196629i | \(-0.0629994\pi\) |
−0.586165 | + | 0.810192i | \(0.699363\pi\) | |||||||
\(458\) | 20199.9 | + | 17503.3i | 0.0962981 | + | 0.0834428i | ||||
\(459\) | 67931.0i | 0.322435i | ||||||||
\(460\) | −123264. | − | 161518.i | −0.582533 | − | 0.763317i | ||||
\(461\) | 90582.3 | 0.426228 | 0.213114 | − | 0.977027i | \(-0.431639\pi\) | ||||
0.213114 | + | 0.977027i | \(0.431639\pi\) | |||||||
\(462\) | 1279.90 | − | 1477.08i | 0.00599640 | − | 0.00692021i | ||||
\(463\) | 253175. | − | 162706.i | 1.18102 | − | 0.758999i | 0.205450 | − | 0.978668i | \(-0.434134\pi\) |
0.975574 | + | 0.219669i | \(0.0704977\pi\) | |||||||
\(464\) | −2274.88 | − | 15822.1i | −0.0105663 | − | 0.0734901i | ||||
\(465\) | −31647.8 | + | 14453.1i | −0.146365 | + | 0.0668428i | ||||
\(466\) | −32481.7 | + | 225915.i | −0.149578 | + | 1.04034i | ||||
\(467\) | 115223. | + | 392414.i | 0.528331 | + | 1.79933i | 0.597676 | + | 0.801738i | \(0.296091\pi\) |
−0.0693449 | + | 0.997593i | \(0.522091\pi\) | |||||||
\(468\) | 5422.97 | + | 3485.13i | 0.0247597 | + | 0.0159121i | ||||
\(469\) | 1514.91 | − | 3317.18i | 0.00688716 | − | 0.0150808i | ||||
\(470\) | −2710.36 | + | 9230.64i | −0.0122696 | + | 0.0417865i | ||||
\(471\) | 44053.4 | − | 38172.5i | 0.198581 | − | 0.172071i | ||||
\(472\) | −66719.2 | − | 76998.0i | −0.299479 | − | 0.345617i | ||||
\(473\) | −340466. | − | 99969.7i | −1.52178 | − | 0.446834i | ||||
\(474\) | −138725. | − | 63353.5i | −0.617444 | − | 0.281977i | ||||
\(475\) | −237323. | + | 369282.i | −1.05185 | + | 1.63671i | ||||
\(476\) | 3830.80 | − | 1124.83i | 0.0169074 | − | 0.00496445i | ||||
\(477\) | 8193.10 | + | 1177.99i | 0.0360091 | + | 0.00517732i | ||||
\(478\) | −34888.8 | − | 76395.8i | −0.152697 | − | 0.334360i | ||||
\(479\) | −188640. | + | 27122.3i | −0.822170 | + | 0.118210i | −0.540546 | − | 0.841315i | \(-0.681782\pi\) |
−0.281624 | + | 0.959525i | \(0.590873\pi\) | |||||||
\(480\) | −24414.7 | − | 37989.9i | −0.105966 | − | 0.164887i | ||||
\(481\) | −58125.8 | − | 50366.3i | −0.251234 | − | 0.217696i | ||||
\(482\) | − | 130821.i | − | 0.563095i | ||||||
\(483\) | −2283.72 | − | 1676.76i | −0.00978922 | − | 0.00718746i | ||||
\(484\) | −16044.9 | −0.0684930 | ||||||||
\(485\) | −151928. | + | 175334.i | −0.645883 | + | 0.745388i | ||||
\(486\) | 9013.25 | − | 5792.46i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | −52435.1 | − | 364694.i | −0.221088 | − | 1.53770i | −0.733936 | − | 0.679219i | \(-0.762319\pi\) |
0.512849 | − | 0.858479i | \(-0.328590\pi\) | |||||||
\(488\) | 53421.5 | − | 24396.8i | 0.224324 | − | 0.102446i | ||||
\(489\) | 7079.53 | − | 49239.2i | 0.0296065 | − | 0.205918i | ||||
\(490\) | 91815.7 | + | 312696.i | 0.382406 | + | 1.30236i | ||||
\(491\) | 197844. | + | 127146.i | 0.820652 | + | 0.527401i | 0.882295 | − | 0.470697i | \(-0.155998\pi\) |
−0.0616427 | + | 0.998098i | \(0.519634\pi\) | |||||||
\(492\) | 43218.2 | − | 94634.7i | 0.178540 | − | 0.390949i | ||||
\(493\) | 34071.2 | − | 116036.i | 0.140183 | − | 0.477418i | ||||
\(494\) | −16668.7 | + | 14443.5i | −0.0683044 | + | 0.0591861i | ||||
\(495\) | −109524. | − | 126398.i | −0.446992 | − | 0.515857i | ||||
\(496\) | 8564.13 | + | 2514.66i | 0.0348113 | + | 0.0102215i | ||||
\(497\) | 6936.47 | + | 3167.78i | 0.0280818 | + | 0.0128245i | ||||
\(498\) | −21415.3 | + | 33322.9i | −0.0863506 | + | 0.134364i | ||||
\(499\) | −259585. | + | 76220.9i | −1.04250 | + | 0.306107i | −0.757785 | − | 0.652504i | \(-0.773718\pi\) |
−0.284719 | + | 0.958611i | \(0.591900\pi\) | |||||||
\(500\) | −401081. | − | 57666.7i | −1.60432 | − | 0.230667i | ||||
\(501\) | 93908.8 | + | 205632.i | 0.374137 | + | 0.819246i | ||||
\(502\) | 59283.0 | − | 8523.60i | 0.235246 | − | 0.0338233i | ||||
\(503\) | −181205. | − | 281960.i | −0.716199 | − | 1.11443i | −0.988354 | − | 0.152174i | \(-0.951373\pi\) |
0.272155 | − | 0.962253i | \(-0.412264\pi\) | |||||||
\(504\) | −475.896 | − | 412.366i | −0.00187349 | − | 0.00162339i | ||||
\(505\) | − | 195316.i | − | 0.765870i | ||||||
\(506\) | 15556.5 | + | 192419.i | 0.0607591 | + | 0.751533i | ||||
\(507\) | −143779. | −0.559346 | ||||||||
\(508\) | 74134.3 | − | 85555.5i | 0.287271 | − | 0.331528i | ||||
\(509\) | 535.016 | − | 343.834i | 0.00206505 | − | 0.00132713i | −0.539608 | − | 0.841916i | \(-0.681427\pi\) |
0.541673 | + | 0.840589i | \(0.317791\pi\) | |||||||
\(510\) | −48622.2 | − | 338175.i | −0.186937 | − | 1.30017i | ||||
\(511\) | −3528.45 | + | 1611.39i | −0.0135127 | + | 0.00617105i | ||||
\(512\) | −1648.75 | + | 11467.3i | −0.00628949 | + | 0.0437443i | ||||
\(513\) | 10327.8 | + | 35173.1i | 0.0392438 | + | 0.133652i | ||||
\(514\) | −80111.8 | − | 51484.7i | −0.303229 | − | 0.194873i | ||||
\(515\) | −97726.6 | + | 213991.i | −0.368467 | + | 0.806830i | ||||
\(516\) | −32209.0 | + | 109694.i | −0.120970 | + | 0.411986i | ||||
\(517\) | 6907.97 | − | 5985.79i | 0.0258446 | − | 0.0223945i | ||||
\(518\) | 4919.99 | + | 5677.97i | 0.0183360 | + | 0.0211609i | ||||
\(519\) | 138153. | + | 40565.3i | 0.512890 | + | 0.150598i | ||||
\(520\) | −29491.2 | − | 13468.2i | −0.109065 | − | 0.0498083i | ||||
\(521\) | −200890. | + | 312591.i | −0.740086 | + | 1.15160i | 0.243279 | + | 0.969956i | \(0.421777\pi\) |
−0.983365 | + | 0.181640i | \(0.941859\pi\) | |||||||
\(522\) | −18301.2 | + | 5373.71i | −0.0671642 | + | 0.0197212i | ||||
\(523\) | −444281. | − | 63878.0i | −1.62426 | − | 0.233533i | −0.730770 | − | 0.682624i | \(-0.760839\pi\) |
−0.893486 | + | 0.449091i | \(0.851748\pi\) | |||||||
\(524\) | 52455.6 | + | 114862.i | 0.191042 | + | 0.418324i | ||||
\(525\) | −8905.99 | + | 1280.49i | −0.0323120 | + | 0.00464576i | ||||
\(526\) | −127133. | − | 197823.i | −0.459501 | − | 0.714997i | ||||
\(527\) | 51034.3 | + | 44221.5i | 0.183756 | + | 0.159225i | ||||
\(528\) | 42906.7i | 0.153906i | ||||||||
\(529\) | 276207. | − | 44954.7i | 0.987012 | − | 0.160644i | ||||
\(530\) | −41630.1 | −0.148203 | ||||||||
\(531\) | −79612.1 | + | 91877.3i | −0.282352 | + | 0.325851i | ||||
\(532\) | 1812.49 | − | 1164.82i | 0.00640402 | − | 0.00411561i | ||||
\(533\) | −10629.7 | − | 73930.9i | −0.0374167 | − | 0.260239i | ||||
\(534\) | 23568.7 | − | 10763.5i | 0.0826520 | − | 0.0377459i | ||||
\(535\) | 1956.86 | − | 13610.2i | 0.00683677 | − | 0.0475508i | ||||
\(536\) | 22554.8 | + | 76814.7i | 0.0785073 | + | 0.267371i | ||||
\(537\) | −167481. | − | 107634.i | −0.580788 | − | 0.373250i | ||||
\(538\) | −63624.4 | + | 139318.i | −0.219816 | + | 0.481330i | ||||
\(539\) | 87236.8 | − | 297101.i | 0.300277 | − | 1.02265i | ||||
\(540\) | −40723.8 | + | 35287.4i | −0.139656 | + | 0.121013i | ||||
\(541\) | 204689. | + | 236224.i | 0.699360 | + | 0.807104i | 0.988666 | − | 0.150132i | \(-0.0479700\pi\) |
−0.289306 | + | 0.957237i | \(0.593425\pi\) | |||||||
\(542\) | −138672. | − | 40717.7i | −0.472051 | − | 0.138607i | ||||
\(543\) | 82482.6 | + | 37668.5i | 0.279745 | + | 0.127755i | ||||
\(544\) | −47386.7 | + | 73735.1i | −0.160125 | + | 0.249159i | ||||
\(545\) | 965265. | − | 283427.i | 3.24978 | − | 0.954220i | ||||
\(546\) | −447.482 | − | 64.3382i | −0.00150103 | − | 0.000215816i | ||||
\(547\) | −76186.2 | − | 166824.i | −0.254625 | − | 0.557552i | 0.738548 | − | 0.674201i | \(-0.235512\pi\) |
−0.993173 | + | 0.116649i | \(0.962785\pi\) | |||||||
\(548\) | 252151. | − | 36253.9i | 0.839653 | − | 0.120724i | ||||
\(549\) | −37886.8 | − | 58953.1i | −0.125702 | − | 0.195597i | ||||
\(550\) | 463334. | + | 401481.i | 1.53168 | + | 1.32721i | ||||
\(551\) | − | 65260.7i | − | 0.214955i | ||||||
\(552\) | 61995.2 | − | 5012.12i | 0.203460 | − | 0.0164491i | ||||
\(553\) | 10695.4 | 0.0349741 | ||||||||
\(554\) | −34585.2 | + | 39913.4i | −0.112686 | + | 0.130047i | ||||
\(555\) | 540852. | − | 347584.i | 1.75587 | − | 1.12843i | ||||
\(556\) | 5208.86 | + | 36228.4i | 0.0168497 | + | 0.117192i | ||||
\(557\) | 182237. | − | 83224.8i | 0.587389 | − | 0.268252i | −0.0994720 | − | 0.995040i | \(-0.531715\pi\) |
0.686861 | + | 0.726789i | \(0.258988\pi\) | |||||||
\(558\) | 1515.73 | − | 10542.1i | 0.00486802 | − | 0.0338578i | ||||
\(559\) | 23124.0 | + | 78752.9i | 0.0740011 | + | 0.252025i | ||||
\(560\) | 2664.27 | + | 1712.22i | 0.00849574 | + | 0.00545988i | ||||
\(561\) | −134850. | + | 295279.i | −0.428473 | + | 0.938226i | ||||
\(562\) | 76165.9 | − | 259397.i | 0.241150 | − | 0.821283i | ||||
\(563\) | 45108.0 | − | 39086.3i | 0.142311 | − | 0.123313i | −0.580796 | − | 0.814049i | \(-0.697259\pi\) |
0.723107 | + | 0.690736i | \(0.242713\pi\) | |||||||
\(564\) | −1928.55 | − | 2225.66i | −0.00606279 | − | 0.00699683i | ||||
\(565\) | 574443. | + | 168672.i | 1.79949 | + | 0.528379i | ||||
\(566\) | 400003. | + | 182675.i | 1.24862 | + | 0.570226i | ||||
\(567\) | −406.230 | + | 632.106i | −0.00126359 | + | 0.00196618i | ||||
\(568\) | −160625. | + | 47163.8i | −0.497871 | + | 0.146188i | ||||
\(569\) | 467793. | + | 67258.4i | 1.44487 | + | 0.207741i | 0.819720 | − | 0.572764i | \(-0.194129\pi\) |
0.625150 | + | 0.780505i | \(0.285038\pi\) | |||||||
\(570\) | −76589.2 | − | 167707.i | −0.235732 | − | 0.516180i | ||||
\(571\) | −242585. | + | 34878.5i | −0.744032 | + | 0.106976i | −0.503897 | − | 0.863764i | \(-0.668101\pi\) |
−0.240135 | + | 0.970739i | \(0.577192\pi\) | |||||||
\(572\) | 16654.0 | + | 25914.1i | 0.0509010 | + | 0.0792035i | ||||
\(573\) | 47057.5 | + | 40775.6i | 0.143324 | + | 0.124191i | ||||
\(574\) | 7296.14i | 0.0221447i | ||||||||
\(575\) | 525969. | − | 716362.i | 1.59083 | − | 2.16669i | ||||
\(576\) | 13824.0 | 0.0416667 | ||||||||
\(577\) | −144046. | + | 166238.i | −0.432663 | + | 0.499320i | −0.929653 | − | 0.368436i | \(-0.879893\pi\) |
0.496990 | + | 0.867756i | \(0.334439\pi\) | |||||||
\(578\) | −359117. | + | 230791.i | −1.07493 | + | 0.690816i | ||||
\(579\) | −17240.8 | − | 119912.i | −0.0514281 | − | 0.357690i | ||||
\(580\) | 87260.7 | − | 39850.6i | 0.259396 | − | 0.118462i | ||||
\(581\) | 395.343 | − | 2749.67i | 0.00117118 | − | 0.00814571i | ||||
\(582\) | −20008.6 | − | 68143.1i | −0.0590706 | − | 0.201176i | ||||
\(583\) | 33275.0 | + | 21384.5i | 0.0978995 | + | 0.0629162i | ||||
\(584\) | 35375.3 | − | 77461.1i | 0.103723 | − | 0.227121i | ||||
\(585\) | −10899.1 | + | 37119.1i | −0.0318479 | + | 0.108464i | ||||
\(586\) | 209420. | − | 181463.i | 0.609850 | − | 0.528438i | ||||
\(587\) | −94656.4 | − | 109239.i | −0.274710 | − | 0.317032i | 0.601584 | − | 0.798810i | \(-0.294537\pi\) |
−0.876293 | + | 0.481778i | \(0.839991\pi\) | |||||||
\(588\) | −95722.4 | − | 28106.6i | −0.276859 | − | 0.0812932i | ||||
\(589\) | 33147.5 | + | 15138.0i | 0.0955477 | + | 0.0436352i | ||||
\(590\) | 330564. | − | 514367.i | 0.949623 | − | 1.47764i | ||||
\(591\) | −290393. | + | 85267.1i | −0.831402 | + | 0.244122i | ||||
\(592\) | −163257. | − | 23472.8i | −0.465830 | − | 0.0669763i | ||||
\(593\) | 124282. | + | 272140.i | 0.353426 | + | 0.773896i | 0.999940 | + | 0.0109928i | \(0.00349920\pi\) |
−0.646513 | + | 0.762903i | \(0.723774\pi\) | |||||||
\(594\) | 50676.9 | − | 7286.24i | 0.143627 | − | 0.0206505i | ||||
\(595\) | 12953.9 | + | 20156.7i | 0.0365905 | + | 0.0569359i | ||||
\(596\) | 71319.2 | + | 61798.4i | 0.200777 | + | 0.173974i | ||||
\(597\) | 146573.i | 0.411250i | ||||||||
\(598\) | 35497.5 | − | 27090.2i | 0.0992647 | − | 0.0757548i | ||||
\(599\) | −478840. | −1.33456 | −0.667278 | − | 0.744809i | \(-0.732541\pi\) | ||||
−0.667278 | + | 0.744809i | \(0.732541\pi\) | |||||||
\(600\) | 129352. | − | 149280.i | 0.359312 | − | 0.414668i | ||||
\(601\) | −8590.41 | + | 5520.72i | −0.0237829 | + | 0.0152843i | −0.552478 | − | 0.833527i | \(-0.686318\pi\) |
0.528695 | + | 0.848812i | \(0.322681\pi\) | |||||||
\(602\) | −1141.04 | − | 7936.08i | −0.00314852 | − | 0.0218984i | ||||
\(603\) | 86895.5 | − | 39683.8i | 0.238981 | − | 0.109139i | ||||
\(604\) | −2084.03 | + | 14494.7i | −0.00571255 | + | 0.0397316i | ||||
\(605\) | −27128.1 | − | 92389.7i | −0.0741153 | − | 0.252414i | ||||
\(606\) | 50298.7 | + | 32325.0i | 0.136966 | + | 0.0880224i | ||||
\(607\) | 219927. | − | 481572.i | 0.596898 | − | 1.30702i | −0.334285 | − | 0.942472i | \(-0.608495\pi\) |
0.931183 | − | 0.364553i | \(-0.118778\pi\) | |||||||
\(608\) | −13325.6 | + | 45382.7i | −0.0360478 | + | 0.122767i | ||||
\(609\) | 1010.94 | − | 875.981i | 0.00272577 | − | 0.00236189i | ||||
\(610\) | 230805. | + | 266363.i | 0.620276 | + | 0.715836i | ||||
\(611\) | −2028.65 | − | 595.667i | −0.00543408 | − | 0.00159559i | ||||
\(612\) | 95135.4 | + | 43446.9i | 0.254003 | + | 0.115999i | ||||
\(613\) | −155923. | + | 242621.i | −0.414943 | + | 0.645664i | −0.984316 | − | 0.176415i | \(-0.943550\pi\) |
0.569373 | + | 0.822080i | \(0.307186\pi\) | |||||||
\(614\) | 45679.0 | − | 13412.6i | 0.121166 | − | 0.0355775i | ||||
\(615\) | 617997. | + | 88854.6i | 1.63394 | + | 0.234925i | ||||
\(616\) | −1250.02 | − | 2737.15i | −0.00329423 | − | 0.00721336i | ||||
\(617\) | −520305. | + | 74808.6i | −1.36675 | + | 0.196508i | −0.786327 | − | 0.617810i | \(-0.788020\pi\) |
−0.580418 | + | 0.814319i | \(0.697111\pi\) | |||||||
\(618\) | −38934.2 | − | 60582.8i | −0.101942 | − | 0.158625i | ||||
\(619\) | 560712. | + | 485859.i | 1.46338 | + | 1.26803i | 0.895607 | + | 0.444847i | \(0.146742\pi\) |
0.567777 | + | 0.823182i | \(0.307804\pi\) | |||||||
\(620\) | 53565.7i | 0.139349i | ||||||||
\(621\) | −16447.6 | − | 72371.2i | −0.0426500 | − | 0.187665i | ||||
\(622\) | −81842.9 | −0.211544 | ||||||||
\(623\) | −1189.95 | + | 1373.27i | −0.00306585 | + | 0.00353818i | ||||
\(624\) | 8349.21 | − | 5365.71i | 0.0214425 | − | 0.0137803i | ||||
\(625\) | −196645. | − | 1.36770e6i | −0.503411 | − | 3.50130i | ||||
\(626\) | −194064. | + | 88626.0i | −0.495218 | + | 0.226158i | ||||
\(627\) | −24929.8 | + | 173390.i | −0.0634137 | + | 0.441052i | ||||
\(628\) | −25284.0 | − | 86109.5i | −0.0641102 | − | 0.218339i | ||||
\(629\) | −1.04975e6 | − | 674630.i | −2.65328 | − | 1.70516i | ||||
\(630\) | 1569.86 | − | 3437.52i | 0.00395531 | − | 0.00866092i | ||||
\(631\) | 176841. | − | 602264.i | 0.444144 | − | 1.51261i | −0.368374 | − | 0.929678i | \(-0.620085\pi\) |
0.812518 | − | 0.582937i | \(-0.198096\pi\) | |||||||
\(632\) | −177449. | + | 153761.i | −0.444263 | + | 0.384956i | ||||
\(633\) | 188082. | + | 217059.i | 0.469398 | + | 0.541714i | ||||
\(634\) | 75373.2 | + | 22131.6i | 0.187516 | + | 0.0550597i | ||||
\(635\) | 617989. | + | 282226.i | 1.53262 | + | 0.699922i | ||||
\(636\) | 6889.83 | − | 10720.8i | 0.0170331 | − | 0.0265041i | ||||
\(637\) | −68722.4 | + | 20178.7i | −0.169363 | + | 0.0497296i | ||||
\(638\) | −90217.9 | − | 12971.4i | −0.221642 | − | 0.0318673i | ||||
\(639\) | 82981.8 | + | 181705.i | 0.203227 | + | 0.445005i | ||||
\(640\) | −68818.7 | + | 9894.64i | −0.168015 | + | 0.0241568i | ||||
\(641\) | 130115. | + | 202462.i | 0.316672 | + | 0.492751i | 0.962703 | − | 0.270560i | \(-0.0872087\pi\) |
−0.646031 | + | 0.763311i | \(0.723572\pi\) | |||||||
\(642\) | 3181.11 | + | 2756.45i | 0.00771806 | + | 0.00668774i | ||||
\(643\) | 113232.i | 0.273871i | 0.990580 | + | 0.136935i | \(0.0437253\pi\) | ||||
−0.990580 | + | 0.136935i | \(0.956275\pi\) | |||||||
\(644\) | −3808.85 | + | 2125.87i | −0.00918380 | + | 0.00512583i | ||||
\(645\) | −686097. | −1.64917 | ||||||||
\(646\) | −234336. | + | 270439.i | −0.561532 | + | 0.648043i | ||||
\(647\) | 497928. | − | 319999.i | 1.18948 | − | 0.764434i | 0.212376 | − | 0.977188i | \(-0.431880\pi\) |
0.977106 | + | 0.212754i | \(0.0682434\pi\) | |||||||
\(648\) | −2347.54 | − | 16327.5i | −0.00559065 | − | 0.0388839i | ||||
\(649\) | −528439. | + | 241330.i | −1.25460 | + | 0.572957i | ||||
\(650\) | 20181.8 | − | 140367.i | 0.0477675 | − | 0.332231i | ||||
\(651\) | 210.434 | + | 716.673i | 0.000496540 | + | 0.00169106i | ||||
\(652\) | −64430.2 | − | 41406.8i | −0.151563 | − | 0.0974039i | ||||
\(653\) | 166471. | − | 364520.i | 0.390401 | − | 0.854860i | −0.607753 | − | 0.794126i | \(-0.707929\pi\) |
0.998154 | − | 0.0607333i | \(-0.0193439\pi\) | |||||||
\(654\) | −86762.8 | + | 295487.i | −0.202851 | + | 0.690848i | ||||
\(655\) | −572707. | + | 496253.i | −1.33490 | + | 1.15670i | ||||
\(656\) | −104892. | − | 121052.i | −0.243744 | − | 0.281296i | ||||
\(657\) | −97496.3 | − | 28627.5i | −0.225869 | − | 0.0663213i | ||||
\(658\) | 187.869 | + | 85.7971i | 0.000433915 | + | 0.000198162i | ||||
\(659\) | −100757. | + | 156782.i | −0.232010 | + | 0.361014i | −0.937665 | − | 0.347541i | \(-0.887017\pi\) |
0.705655 | + | 0.708556i | \(0.250653\pi\) | |||||||
\(660\) | −247065. | + | 72544.9i | −0.567184 | + | 0.166540i | ||||
\(661\) | −560482. | − | 80585.2i | −1.28280 | − | 0.184439i | −0.533007 | − | 0.846111i | \(-0.678938\pi\) |
−0.749793 | + | 0.661672i | \(0.769847\pi\) | |||||||
\(662\) | 44668.7 | + | 97810.8i | 0.101927 | + | 0.223188i | ||||
\(663\) | 74322.1 | − | 10685.9i | 0.169079 | − | 0.0243099i | ||||
\(664\) | 32971.0 | + | 51303.9i | 0.0747818 | + | 0.116363i | ||||
\(665\) | 9771.74 | + | 8467.26i | 0.0220968 | + | 0.0191470i | ||||
\(666\) | 196808.i | 0.443705i | ||||||||
\(667\) | −8203.39 | + | 131870.i | −0.0184392 | + | 0.296410i | ||||
\(668\) | 348042. | 0.779972 | ||||||||
\(669\) | −68208.0 | + | 78716.2i | −0.152399 | + | 0.175878i | ||||
\(670\) | −404180. | + | 259751.i | −0.900378 | + | 0.578638i | ||||
\(671\) | −47657.2 | − | 331463.i | −0.105848 | − | 0.736191i | ||||
\(672\) | −881.877 | + | 402.740i | −0.00195285 | + | 0.000891838i | ||||
\(673\) | 66638.8 | − | 463483.i | 0.147129 | − | 1.02330i | −0.773761 | − | 0.633478i | \(-0.781627\pi\) |
0.920889 | − | 0.389824i | \(-0.127464\pi\) | |||||||
\(674\) | 44562.4 | + | 151765.i | 0.0980954 | + | 0.334082i | ||||
\(675\) | −198281. | − | 127427.i | −0.435184 | − | 0.279676i | ||||
\(676\) | −91957.4 | + | 201359.i | −0.201230 | + | 0.440633i | ||||
\(677\) | 228261. | − | 777385.i | 0.498028 | − | 1.69613i | −0.199778 | − | 0.979841i | \(-0.564022\pi\) |
0.697806 | − | 0.716287i | \(-0.254160\pi\) | |||||||
\(678\) | −138508. | + | 120018.i | −0.301312 | + | 0.261088i | ||||
\(679\) | 3261.65 | + | 3764.15i | 0.00707454 | + | 0.00816445i | ||||
\(680\) | −504701. | − | 148194.i | −1.09148 | − | 0.320488i | ||||
\(681\) | −307364. | − | 140368.i | −0.662763 | − | 0.302674i | ||||
\(682\) | 27515.6 | − | 42815.0i | 0.0591575 | − | 0.0920508i | ||||
\(683\) | −332660. | + | 97677.7i | −0.713113 | + | 0.209389i | −0.618114 | − | 0.786088i | \(-0.712103\pi\) |
−0.0949992 | + | 0.995477i | \(0.530285\pi\) | |||||||
\(684\) | 55864.3 | + | 8032.07i | 0.119405 | + | 0.0171678i | ||||
\(685\) | 635084. | + | 1.39064e6i | 1.35347 | + | 2.96370i | ||||
\(686\) | 13853.6 | − | 1991.85i | 0.0294385 | − | 0.00423261i | ||||
\(687\) | −26547.1 | − | 41308.1i | −0.0562475 | − | 0.0875228i | ||||
\(688\) | 133023. | + | 115265.i | 0.281028 | + | 0.243512i | ||||
\(689\) | − | 9149.23i | − | 0.0192729i | ||||||
\(690\) | 133680. | + | 348506.i | 0.280781 | + | 0.732002i | ||||
\(691\) | 784967. | 1.64398 | 0.821988 | − | 0.569505i | \(-0.192865\pi\) | ||||
0.821988 | + | 0.569505i | \(0.192865\pi\) | |||||||
\(692\) | 145169. | − | 167534.i | 0.303153 | − | 0.349858i | ||||
\(693\) | −3020.57 | + | 1941.20i | −0.00628960 | + | 0.00404208i | ||||
\(694\) | 35200.6 | + | 244826.i | 0.0730855 | + | 0.508321i | ||||
\(695\) | −199803. | + | 91247.2i | −0.413650 | + | 0.188908i | ||||
\(696\) | −4179.22 | + | 29067.1i | −0.00862734 | + | 0.0600044i | ||||
\(697\) | −341407. | − | 1.16272e6i | −0.702759 | − | 2.39338i | ||||
\(698\) | 483634. | + | 310813.i | 0.992673 | + | 0.637952i | ||||
\(699\) | 174184. | − | 381409.i | 0.356495 | − | 0.780615i | ||||
\(700\) | −3902.75 | + | 13291.5i | −0.00796479 | + | 0.0271256i | ||||
\(701\) | −345358. | + | 299255.i | −0.702804 | + | 0.608983i | −0.931167 | − | 0.364593i | \(-0.881208\pi\) |
0.228363 | + | 0.973576i | \(0.426663\pi\) | |||||||
\(702\) | −7755.26 | − | 8950.04i | −0.0157370 | − | 0.0181615i | ||||
\(703\) | −646100. | − | 189712.i | −1.30734 | − | 0.383870i | ||||
\(704\) | 60089.5 | + | 27442.0i | 0.121242 | + | 0.0553694i | ||||
\(705\) | 9555.11 | − | 14868.0i | 0.0192246 | − | 0.0299141i | ||||
\(706\) | −152848. | + | 44880.3i | −0.306656 | + | 0.0900422i | ||||
\(707\) | −4150.45 | − | 596.745i | −0.00830341 | − | 0.00119385i | ||||
\(708\) | 77753.6 | + | 170257.i | 0.155115 | + | 0.339655i | ||||
\(709\) | −244043. | + | 35088.1i | −0.485483 | + | 0.0698019i | −0.380711 | − | 0.924694i | \(-0.624321\pi\) |
−0.104773 | + | 0.994496i | \(0.533411\pi\) | |||||||
\(710\) | −543157. | − | 845169.i | −1.07748 | − | 1.67659i | ||||
\(711\) | 211740. | + | 183474.i | 0.418855 | + | 0.362940i | ||||
\(712\) | − | 39891.3i | − | 0.0786897i | ||||||
\(713\) | −65077.0 | − | 34755.4i | −0.128011 | − | 0.0683665i | ||||
\(714\) | −7334.75 | −0.0143876 | ||||||||
\(715\) | −121061. | + | 139712.i | −0.236805 | + | 0.273288i | ||||
\(716\) | −257854. | + | 165713.i | −0.502977 | + | 0.323244i | ||||
\(717\) | 21957.9 | + | 152721.i | 0.0427123 | + | 0.297070i | ||||
\(718\) | −296452. | + | 135385.i | −0.575049 | + | 0.262616i | ||||
\(719\) | 115955. | − | 806484.i | 0.224301 | − | 1.56005i | −0.497201 | − | 0.867635i | \(-0.665639\pi\) |
0.721502 | − | 0.692412i | \(-0.243452\pi\) | |||||||
\(720\) | 23373.1 | + | 79601.4i | 0.0450869 | + | 0.153552i | ||||
\(721\) | 4248.72 | + | 2730.49i | 0.00817312 | + | 0.00525254i | ||||
\(722\) | 72905.0 | − | 159640.i | 0.139857 | − | 0.306243i | ||||
\(723\) | −67709.5 | + | 230598.i | −0.129531 | + | 0.441142i | ||||
\(724\) | 105507. | − | 91422.6i | 0.201282 | − | 0.174412i | ||||
\(725\) | 274780. | + | 317113.i | 0.522768 | + | 0.603306i | ||||
\(726\) | 28282.3 | + | 8304.45i | 0.0536590 | + | 0.0157557i | ||||
\(727\) | 837399. | + | 382427.i | 1.58440 | + | 0.723569i | 0.996358 | − | 0.0852648i | \(-0.0271736\pi\) |
0.588037 | + | 0.808834i | \(0.299901\pi\) | |||||||
\(728\) | −376.302 | + | 585.537i | −0.000710024 | + | 0.00110482i | ||||
\(729\) | −18885.7 | + | 5545.34i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 505847. | + | 72729.9i | 0.949235 | + | 0.136479i | ||||
\(731\) | 553189. | + | 1.21131e6i | 1.03523 | + | 2.26685i | ||||
\(732\) | −106793. | + | 15354.6i | −0.199307 | + | 0.0286560i | ||||
\(733\) | −7351.92 | − | 11439.8i | −0.0136834 | − | 0.0212917i | 0.834344 | − | 0.551243i | \(-0.185846\pi\) |
−0.848028 | + | 0.529952i | \(0.822210\pi\) | |||||||
\(734\) | 430261. | + | 372823.i | 0.798619 | + | 0.692007i | ||||
\(735\) | − | 598710.i | − | 1.10826i | ||||||
\(736\) | 32631.1 | − | 90028.0i | 0.0602388 | − | 0.166197i | ||||
\(737\) | 456489. | 0.840419 | ||||||||
\(738\) | −125161. | + | 144444.i | −0.229804 | + | 0.265208i | ||||
\(739\) | 351337. | − | 225791.i | 0.643333 | − | 0.413445i | −0.177892 | − | 0.984050i | \(-0.556928\pi\) |
0.821224 | + | 0.570605i | \(0.193291\pi\) | |||||||
\(740\) | −140867. | − | 979752.i | −0.257245 | − | 1.78918i | ||||
\(741\) | 36857.6 | − | 16832.3i | 0.0671261 | − | 0.0306554i | ||||
\(742\) | −127.192 | + | 884.638i | −0.000231021 | + | 0.00160678i | ||||
\(743\) | 69401.2 | + | 236359.i | 0.125716 | + | 0.428148i | 0.998165 | − | 0.0605569i | \(-0.0192877\pi\) |
−0.872449 | + | 0.488705i | \(0.837469\pi\) | |||||||
\(744\) | −13794.5 | − | 8865.17i | −0.0249207 | − | 0.0160155i | ||||
\(745\) | −235264. | + | 515157.i | −0.423880 | + | 0.928168i | ||||
\(746\) | −144446. | + | 491936.i | −0.259553 | + | 0.883957i | ||||
\(747\) | 54995.9 | − | 47654.2i | 0.0985573 | − | 0.0854004i | ||||
\(748\) | 327284. | + | 377705.i | 0.584953 | + | 0.675072i | ||||
\(749\) | −283.238 | − | 83.1661i | −0.000504879 | − | 0.000148246i | ||||
\(750\) | 677139. | + | 309239.i | 1.20380 | + | 0.549758i | ||||
\(751\) | −436582. | + | 679335.i | −0.774081 | + | 1.20449i | 0.200332 | + | 0.979728i | \(0.435798\pi\) |
−0.974413 | + | 0.224765i | \(0.927839\pi\) | |||||||
\(752\) | −4350.42 | + | 1277.40i | −0.00769300 | + | 0.00225887i | ||||
\(753\) | −108910. | − | 15658.9i | −0.192078 | − | 0.0276166i | ||||
\(754\) | 8758.14 | + | 19177.6i | 0.0154053 | + | 0.0337328i | ||||
\(755\) | −86987.2 | + | 12506.9i | −0.152602 | + | 0.0219409i | ||||
\(756\) | 625.432 | + | 973.191i | 0.00109430 | + | 0.00170276i | ||||
\(757\) | −813249. | − | 704685.i | −1.41916 | − | 1.22971i | −0.934959 | − | 0.354755i | \(-0.884564\pi\) |
−0.484203 | − | 0.874956i | \(-0.660890\pi\) | |||||||
\(758\) | 145737.i | 0.253648i | ||||||||
\(759\) | 72170.1 | − | 347230.i | 0.125278 | − | 0.602744i | ||||
\(760\) | −283853. | −0.491435 | ||||||||
\(761\) | −154258. | + | 178023.i | −0.266366 | + | 0.307403i | −0.873138 | − | 0.487473i | \(-0.837919\pi\) |
0.606772 | + | 0.794876i | \(0.292464\pi\) | |||||||
\(762\) | −174958. | + | 112439.i | −0.301317 | + | 0.193645i | ||||
\(763\) | −3073.66 | − | 21377.8i | −0.00527967 | − | 0.0367209i | ||||
\(764\) | 87201.7 | − | 39823.7i | 0.149396 | − | 0.0682268i | ||||
\(765\) | −89324.7 | + | 621267.i | −0.152633 | + | 1.06159i | ||||
\(766\) | 179076. | + | 609878.i | 0.305197 | + | 1.03941i | ||||
\(767\) | 113045. | + | 72649.4i | 0.192158 | + | 0.123493i | ||||
\(768\) | 8841.46 | − | 19360.1i | 0.0149900 | − | 0.0328235i | ||||
\(769\) | 2150.79 | − | 7324.92i | 0.00363702 | − | 0.0123865i | −0.957654 | − | 0.287920i | \(-0.907036\pi\) |
0.961291 | + | 0.275533i | \(0.0888545\pi\) | |||||||
\(770\) | 13647.6 | − | 11825.7i | 0.0230184 | − | 0.0199456i | ||||
\(771\) | 114566. | + | 132216.i | 0.192729 | + | 0.222421i | ||||
\(772\) | −178961. | − | 52547.6i | −0.300278 | − | 0.0881694i | ||||
\(773\) | −695983. | − | 317845.i | −1.16477 | − | 0.531932i | −0.263274 | − | 0.964721i | \(-0.584802\pi\) |
−0.901495 | + | 0.432789i | \(0.857530\pi\) | |||||||
\(774\) | 113550. | − | 176687.i | 0.189541 | − | 0.294932i | ||||
\(775\) | −224808. | + | 66009.5i | −0.374290 | + | 0.109901i | ||||
\(776\) | −108229. | − | 15561.0i | −0.179730 | − | 0.0258413i | ||||
\(777\) | −5733.69 | − | 12555.0i | −0.00949713 | − | 0.0207958i | ||||
\(778\) | −201235. | + | 28933.3i | −0.332464 | + | 0.0478011i | ||||
\(779\) | −353545. | − | 550127.i | −0.582599 | − | 0.906542i | ||||
\(780\) | 45013.3 | + | 39004.3i | 0.0739864 | + | 0.0641096i | ||||
\(781\) | 954552.i | 1.56494i | ||||||||
\(782\) | 507509. | − | 517008.i | 0.829909 | − | 0.845443i | ||||
\(783\) | 35040.8 | 0.0571545 | ||||||||
\(784\) | −100584. | + | 116080.i | −0.163643 | + | 0.188854i | ||||
\(785\) | 453087. | − | 291181.i | 0.735261 | − | 0.472524i | ||||
\(786\) | −33013.9 | − | 229617.i | −0.0534382 | − | 0.371671i | ||||
\(787\) | −492019. | + | 224697.i | −0.794387 | + | 0.362784i | −0.770913 | − | 0.636940i | \(-0.780200\pi\) |
−0.0234735 | + | 0.999724i | \(0.507473\pi\) | |||||||
\(788\) | −66313.6 | + | 461221.i | −0.106795 | + | 0.742774i | ||||
\(789\) | 121709. | + | 414503.i | 0.195510 | + | 0.665846i | ||||
\(790\) | −1.18541e6 | − | 761816.i | −1.89939 | − | 1.22066i | ||||
\(791\) | 5339.35 | − | 11691.5i | 0.00853366 | − | 0.0186861i | ||||
\(792\) | 22207.5 | − | 75631.6i | 0.0354037 | − | 0.120574i | ||||
\(793\) | −58539.6 | + | 50724.9i | −0.0930901 | + | 0.0806631i | ||||
\(794\) | −58972.2 | − | 68057.6i | −0.0935419 | − | 0.107953i | ||||
\(795\) | 73381.5 | + | 21546.8i | 0.116105 | + | 0.0340916i | ||||
\(796\) | 205272. | + | 93744.4i | 0.323968 | + | 0.147951i | ||||
\(797\) | 235885. | − | 367044.i | 0.371350 | − | 0.577832i | −0.604410 | − | 0.796673i | \(-0.706591\pi\) |
0.975761 | + | 0.218841i | \(0.0702275\pi\) | |||||||
\(798\) | −3797.76 | + | 1115.12i | −0.00596379 | + | 0.00175113i | ||||
\(799\) | −33953.9 | − | 4881.83i | −0.0531858 | − | 0.00764696i | ||||
\(800\) | −126332. | − | 276630.i | −0.197395 | − | 0.432234i | ||||
\(801\) | −47115.5 | + | 6774.18i | −0.0734342 | + | 0.0105583i | ||||
\(802\) | −432363. | − | 672771.i | −0.672203 | − | 1.04597i | ||||
\(803\) | −366964. | − | 317976.i | −0.569105 | − | 0.493132i | ||||
\(804\) | − | 147075.i | − | 0.227524i | ||||||
\(805\) | −18681.0 | − | 18337.8i | −0.0288276 | − | 0.0282980i | ||||
\(806\) | −11772.3 | −0.0181215 | ||||||||
\(807\) | 184258. | − | 212646.i | 0.282931 | − | 0.326520i | ||||
\(808\) | 77439.9 | − | 49767.6i | 0.118616 | − | 0.0762296i | ||||
\(809\) | 94570.4 | + | 657752.i | 0.144497 | + | 1.00500i | 0.925033 | + | 0.379887i | \(0.124037\pi\) |
−0.780536 | + | 0.625111i | \(0.785054\pi\) | |||||||
\(810\) | 90047.8 | − | 41123.5i | 0.137247 | − | 0.0626787i | ||||
\(811\) | −49086.1 | + | 341401.i | −0.0746306 | + | 0.519067i | 0.917875 | + | 0.396869i | \(0.129903\pi\) |
−0.992506 | + | 0.122198i | \(0.961006\pi\) | |||||||
\(812\) | −580.218 | − | 1976.04i | −0.000879992 | − | 0.00299698i | ||||
\(813\) | 223362. | + | 143546.i | 0.337932 | + | 0.217175i | ||||
\(814\) | −390683. | + | 855477.i | −0.589625 | + | 1.29110i | ||||
\(815\) | 129492. | − | 441011.i | 0.194953 | − | 0.663948i | ||||
\(816\) | 121692. | − | 105447.i | 0.182760 | − | 0.158363i | ||||
\(817\) | 470588. | + | 543088.i | 0.705012 | + | 0.813628i | ||||
\(818\) | 863837. | + | 253645.i | 1.29100 | + | 0.379071i | ||||
\(819\) | 755.478 | + | 345.015i | 0.00112630 | + | 0.000514364i | ||||
\(820\) | 519693. | − | 808657.i | 0.772892 | − | 1.20264i | ||||
\(821\) | −295983. | + | 86908.6i | −0.439118 | + | 0.128937i | −0.493816 | − | 0.869566i | \(-0.664398\pi\) |
0.0546984 | + | 0.998503i | \(0.482580\pi\) | |||||||
\(822\) | −463231. | − | 66602.6i | −0.685574 | − | 0.0985706i | ||||
\(823\) | 219430. | + | 480484.i | 0.323963 | + | 0.709380i | 0.999612 | − | 0.0278432i | \(-0.00886390\pi\) |
−0.675649 | + | 0.737223i | \(0.736137\pi\) | |||||||
\(824\) | −109746. | + | 15779.0i | −0.161634 | + | 0.0232395i | ||||
\(825\) | −608922. | − | 947501.i | −0.894651 | − | 1.39210i | ||||
\(826\) | −9920.31 | − | 8596.00i | −0.0145400 | − | 0.0125990i | ||||
\(827\) | − | 191705.i | − | 0.280299i | −0.990130 | − | 0.140149i | \(-0.955242\pi\) | ||
0.990130 | − | 0.140149i | \(-0.0447583\pi\) | |||||||
\(828\) | −111873. | − | 23252.3i | −0.163179 | − | 0.0339161i | ||||
\(829\) | −800291. | −1.16450 | −0.582249 | − | 0.813010i | \(-0.697827\pi\) | ||||
−0.582249 | + | 0.813010i | \(0.697827\pi\) | |||||||
\(830\) | −239672. | + | 276596.i | −0.347905 | + | 0.401504i | ||||
\(831\) | 81621.5 | − | 52455.0i | 0.118196 | − | 0.0759599i | ||||
\(832\) | −2174.59 | − | 15124.6i | −0.00314145 | − | 0.0218493i | ||||
\(833\) | −1.05703e6 | + | 482730.i | −1.52334 | + | 0.695688i | ||||
\(834\) | 9569.28 | − | 66555.8i | 0.0137577 | − | 0.0956872i | ||||
\(835\) | 588456. | + | 2.00410e6i | 0.843997 | + | 2.87439i | ||||
\(836\) | 226884. | + | 145809.i | 0.324632 | + | 0.208628i | ||||
\(837\) | −8128.11 | + | 17798.1i | −0.0116022 | + | 0.0254052i | ||||
\(838\) | 108624. | − | 369940.i | 0.154682 | − | 0.526797i | ||||
\(839\) | 1.02581e6 | − | 888868.i | 1.45728 | − | 1.26274i | 0.554813 | − | 0.831975i | \(-0.312790\pi\) |
0.902465 | − | 0.430763i | \(-0.141756\pi\) | |||||||
\(840\) | −3810.10 | − | 4397.09i | −0.00539980 | − | 0.00623170i | ||||
\(841\) | 618776. | + | 181689.i | 0.874867 | + | 0.256884i | ||||
\(842\) | 362635. | + | 165610.i | 0.511499 | + | 0.233594i | ||||
\(843\) | −268516. | + | 417818.i | −0.377846 | + | 0.587939i | ||||
\(844\) | 424277. | − | 124579.i | 0.595613 | − | 0.174888i | ||||
\(845\) | −1.31494e6 | − | 189060.i | −1.84159 | − | 0.264781i | ||||
\(846\) | 2247.51 | + | 4921.35i | 0.00314022 | + | 0.00687612i | ||||
\(847\) | −2046.16 | + | 294.193i | −0.00285215 | + | 0.000410077i | ||||
\(848\) | −10607.6 | − | 16505.7i | −0.0147511 | − | 0.0229532i | ||||
\(849\) | −610538. | − | 529034.i | −0.847027 | − | 0.733953i | ||||
\(850\) | − | 2.30078e6i | − | 3.18447i | ||||||
\(851\) | 1.28170e6 | + | 464560.i | 1.76982 | + | 0.641479i | ||||
\(852\) | 307545. | 0.423672 | ||||||||
\(853\) | 613930. | − | 708512.i | 0.843763 | − | 0.973754i | −0.156139 | − | 0.987735i | \(-0.549905\pi\) |
0.999902 | + | 0.0139807i | \(0.00445033\pi\) | |||||||
\(854\) | 6365.36 | − | 4090.77i | 0.00872785 | − | 0.00560905i | ||||
\(855\) | 48202.8 | + | 335258.i | 0.0659387 | + | 0.458613i | ||||
\(856\) | 5894.87 | − | 2692.10i | 0.00804501 | − | 0.00367403i | ||||
\(857\) | 109284. | − | 760090.i | 0.148798 | − | 1.03491i | −0.769394 | − | 0.638775i | \(-0.779441\pi\) |
0.918191 | − | 0.396137i | \(-0.129649\pi\) | |||||||
\(858\) | −15943.5 | − | 54298.5i | −0.0216575 | − | 0.0737587i | ||||
\(859\) | −581288. | − | 373571.i | −0.787781 | − | 0.506276i | 0.0838269 | − | 0.996480i | \(-0.473286\pi\) |
−0.871607 | + | 0.490204i | \(0.836922\pi\) | |||||||
\(860\) | −438809. | + | 960858.i | −0.593306 | + | 1.29916i | ||||
\(861\) | 3776.31 | − | 12860.9i | 0.00509402 | − | 0.0173487i | ||||
\(862\) | 699309. | − | 605955.i | 0.941140 | − | 0.815503i | ||||
\(863\) | −328729. | − | 379374.i | −0.441384 | − | 0.509384i | 0.490848 | − | 0.871245i | \(-0.336687\pi\) |
−0.932232 | + | 0.361861i | \(0.882142\pi\) | |||||||
\(864\) | −24367.6 | − | 7154.97i | −0.0326426 | − | 0.00958474i | ||||
\(865\) | 1.21014e6 | + | 552653.i | 1.61735 | + | 0.738619i | ||||
\(866\) | −122764. | + | 191024.i | −0.163695 | + | 0.254714i | ||||
\(867\) | 752468. | − | 220945.i | 1.00104 | − | 0.293931i | ||||
\(868\) | 1138.27 | + | 163.658i | 0.00151079 | + | 0.000217219i | ||||
\(869\) | 556169. | + | 1.21784e6i | 0.736490 | + | 1.61269i | ||||
\(870\) | −174440. | + | 25080.7i | −0.230467 | + | 0.0331361i | ||||
\(871\) | −57086.5 | − | 88828.3i | −0.0752483 | − | 0.117089i | ||||
\(872\) | 358329. | + | 310494.i | 0.471248 | + | 0.408339i | ||||
\(873\) | 130472.i | 0.171194i | ||||||||
\(874\) | 184174. | − | 344853.i | 0.241105 | − | 0.451452i | ||||
\(875\) | −52206.1 | −0.0681875 | ||||||||
\(876\) | −102448. | + | 118231.i | −0.133504 | + | 0.154072i | ||||
\(877\) | 290349. | − | 186596.i | 0.377503 | − | 0.242607i | −0.338105 | − | 0.941108i | \(-0.609786\pi\) |
0.715608 | + | 0.698502i | \(0.246150\pi\) | |||||||
\(878\) | −53449.0 | − | 371746.i | −0.0693347 | − | 0.482233i | ||||
\(879\) | −463066. | + | 211475.i | −0.599328 | + | 0.273704i | ||||
\(880\) | −56419.3 | + | 392405.i | −0.0728556 | + | 0.506722i | ||||
\(881\) | −303167. | − | 1.03249e6i | −0.390598 | − | 1.33025i | −0.886843 | − | 0.462071i | \(-0.847106\pi\) |
0.496245 | − | 0.868183i | \(-0.334712\pi\) | |||||||
\(882\) | 154183. | + | 99087.2i | 0.198198 | + | 0.127374i | ||||
\(883\) | 578880. | − | 1.26757e6i | 0.742449 | − | 1.62574i | −0.0370335 | − | 0.999314i | \(-0.511791\pi\) |
0.779483 | − | 0.626423i | \(-0.215482\pi\) | |||||||
\(884\) | 32569.1 | − | 110920.i | 0.0416775 | − | 0.141940i | ||||
\(885\) | −848909. | + | 735584.i | −1.08386 | + | 0.939174i | ||||
\(886\) | −5058.42 | − | 5837.73i | −0.00644388 | − | 0.00743663i | ||||
\(887\) | 516399. | + | 151629.i | 0.656355 | + | 0.192723i | 0.592918 | − | 0.805263i | \(-0.297976\pi\) |
0.0634365 | + | 0.997986i | \(0.479794\pi\) | |||||||
\(888\) | 275624. | + | 125873.i | 0.349535 | + | 0.159627i | ||||
\(889\) | 7885.41 | − | 12269.9i | 0.00997748 | − | 0.0155253i | ||||
\(890\) | 229702. | − | 67446.6i | 0.289991 | − | 0.0851491i | ||||
\(891\) | −93099.5 | − | 13385.7i | −0.117271 | − | 0.0168611i | ||||
\(892\) | 66615.7 | + | 145868.i | 0.0837234 | + | 0.183329i | ||||
\(893\) | −18322.7 | + | 2634.41i | −0.0229767 | + | 0.00330355i | ||||
\(894\) | −93729.1 | − | 145845.i | −0.117273 | − | 0.182481i | ||||
\(895\) | −1.39018e6 | − | 1.20460e6i | −1.73550 | − | 1.50382i | ||||
\(896\) | 1492.62i | 0.00185924i | ||||||||
\(897\) | −76592.7 | + | 29379.3i | −0.0951924 | + | 0.0365138i | ||||
\(898\) | −645423. | −0.800372 | ||||||||
\(899\) | 22810.7 | − | 26325.0i | 0.0282240 | − | 0.0325723i | ||||
\(900\) | −305273. | + | 196187.i | −0.376880 | + | 0.242206i | ||||
\(901\) | −21125.2 | − | 146929.i | −0.0260226 | − | 0.180991i | ||||
\(902\) | −830781. | + | 379405.i | −1.02111 | + | 0.466326i | ||||
\(903\) | −2096.22 | + | 14579.5i | −0.00257076 | + | 0.0178800i | ||||
\(904\) | 79495.5 | + | 270737.i | 0.0972760 | + | 0.331292i | ||||
\(905\) | 704818. | + | 452959.i | 0.860557 | + | 0.553046i | ||||
\(906\) | 11175.6 | − | 24471.2i | 0.0136149 | − | 0.0298126i | ||||
\(907\) | −49647.3 | + | 169083.i | −0.0603505 | + | 0.205535i | −0.984149 | − | 0.177345i | \(-0.943249\pi\) |
0.923798 | + | 0.382879i | \(0.125067\pi\) | |||||||
\(908\) | −393163. | + | 340678.i | −0.476871 | + | 0.413211i | ||||
\(909\) | −71930.9 | − | 83012.7i | −0.0870538 | − | 0.100465i | ||||
\(910\) | −4007.87 | − | 1176.82i | −0.00483984 | − | 0.00142111i | ||||
\(911\) | −1.14254e6 | − | 521780.i | −1.37668 | − | 0.628710i | −0.416771 | − | 0.909011i | \(-0.636838\pi\) |
−0.959912 | + | 0.280301i | \(0.909566\pi\) | |||||||
\(912\) | 46978.0 | − | 73099.1i | 0.0564813 | − | 0.0878866i | ||||
\(913\) | 333652. | − | 97968.9i | 0.400269 | − | 0.117529i | ||||
\(914\) | −426448. | − | 61314.0i | −0.510474 | − | 0.0733951i | ||||
\(915\) | −268977. | − | 588977.i | −0.321272 | − | 0.703487i | ||||
\(916\) | −74829.5 | + | 10758.9i | −0.0891830 | + | 0.0128226i | ||||
\(917\) | 8795.57 | + | 13686.2i | 0.0104598 | + | 0.0162758i | ||||
\(918\) | −145208. | − | 125824.i | −0.172308 | − | 0.149306i | ||||
\(919\) | − | 804105.i | − | 0.952099i | −0.879419 | − | 0.476049i | \(-0.842068\pi\) | ||
0.879419 | − | 0.476049i | \(-0.157932\pi\) | |||||||
\(920\) | 573571. | + | 35680.9i | 0.677659 | + | 0.0421560i | ||||
\(921\) | −87460.4 | −0.103108 | ||||||||
\(922\) | −167779. | + | 193627.i | −0.197368 | + | 0.227774i | ||||
\(923\) | 185746. | − | 119372.i | 0.218030 | − | 0.140120i | ||||
\(924\) | 786.721 | + | 5471.76i | 0.000921460 | + | 0.00640890i | ||||
\(925\) | 3.93829e6 | − | 1.79856e6i | 4.60283 | − | 2.10204i | ||||
\(926\) | −121140. | + | 842551.i | −0.141276 | + | 0.982594i | ||||
\(927\) | 37273.2 | + | 126941.i | 0.0433748 | + | 0.147721i | ||||
\(928\) | 38034.7 | + | 24443.4i | 0.0441656 | + | 0.0283835i | ||||
\(929\) | −377047. | + | 825619.i | −0.436882 | + | 0.956639i | 0.555278 | + | 0.831665i | \(0.312612\pi\) |
−0.992160 | + | 0.124974i | \(0.960115\pi\) | |||||||
\(930\) | 27724.3 | − | 94420.3i | 0.0320549 | − | 0.109169i | ||||
\(931\) | −473916. | + | 410650.i | −0.546767 | + | 0.473776i | ||||
\(932\) | −422749. | − | 487878.i | −0.486688 | − | 0.561668i | ||||
\(933\) | 144265. | + | 42359.9i | 0.165728 | + | 0.0486622i | ||||
\(934\) | −1.05224e6 | − | 480541.i | −1.20620 | − | 0.550854i | ||||
\(935\) | −1.62155e6 | + | 2.52317e6i | −1.85484 | + | 2.88618i | ||||
\(936\) | −17494.3 | + | 5136.80i | −0.0199685 | + | 0.00586328i | ||||
\(937\) | 989584. | + | 142281.i | 1.12713 | + | 0.162057i | 0.680560 | − | 0.732693i | \(-0.261737\pi\) |
0.446569 | + | 0.894749i | \(0.352646\pi\) | |||||||
\(938\) | 4284.80 | + | 9382.41i | 0.00486996 | + | 0.0106637i | ||||
\(939\) | 387947. | − | 55778.4i | 0.439989 | − | 0.0632608i | ||||
\(940\) | −14711.0 | − | 22890.8i | −0.0166490 | − | 0.0259063i | ||||
\(941\) | 1.01813e6 | + | 882217.i | 1.14981 | + | 0.996314i | 0.999971 | + | 0.00760275i | \(0.00242005\pi\) |
0.149836 | + | 0.988711i | \(0.452125\pi\) | |||||||
\(942\) | 164872.i | 0.185799i | ||||||||
\(943\) | 645243. | + | 1.15606e6i | 0.725605 | + | 1.30004i | ||||
\(944\) | 288169. | 0.323372 | ||||||||
\(945\) | −4546.37 | + | 5246.80i | −0.00509098 | + | 0.00587531i | ||||
\(946\) | 844313. | − | 542607.i | 0.943455 | − | 0.606322i | ||||
\(947\) | −136293. | − | 947940.i | −0.151976 | − | 1.05701i | −0.912903 | − | 0.408177i | \(-0.866165\pi\) |
0.760927 | − | 0.648837i | \(-0.224744\pi\) | |||||||
\(948\) | 392373. | − | 179191.i | 0.436599 | − | 0.199388i | ||||
\(949\) | −15984.1 | + | 111172.i | −0.0177483 | + | 0.123442i | ||||
\(950\) | −349795. | − | 1.19129e6i | −0.387584 | − | 1.31999i | ||||
\(951\) | −121406. | − | 78022.7i | −0.134239 | − | 0.0862701i | ||||
\(952\) | −4691.11 | + | 10272.1i | −0.00517609 | + | 0.0113340i | ||||
\(953\) | −70744.0 | + | 240932.i | −0.0778940 | + | 0.265283i | −0.989228 | − | 0.146386i | \(-0.953236\pi\) |
0.911334 | + | 0.411669i | \(0.135054\pi\) | |||||||
\(954\) | −17693.5 | + | 15331.5i | −0.0194410 | + | 0.0168457i | ||||
\(955\) | 376750. | + | 434793.i | 0.413092 | + | 0.476733i | ||||
\(956\) | 227924. | + | 66924.6i | 0.249388 | + | 0.0732268i | ||||
\(957\) | 152314. | + | 69559.3i | 0.166309 | + | 0.0759506i | ||||
\(958\) | 291427. | − | 453469.i | 0.317540 | − | 0.494102i | ||||
\(959\) | 31491.4 | − | 9246.70i | 0.0342416 | − | 0.0100542i | ||||
\(960\) | 126428. | + | 18177.6i | 0.137183 | + | 0.0197240i | ||||
\(961\) | −375565. | − | 822372.i | −0.406666 | − | 0.890474i | ||||
\(962\) | 215324. | − | 30958.9i | 0.232671 | − | 0.0334531i | ||||
\(963\) | −4180.67 | − | 6505.25i | −0.00450810 | − | 0.00701474i | ||||
\(964\) | 279640. | + | 242309.i | 0.300916 | + | 0.260745i | ||||
\(965\) | − | 1.11934e6i | − | 1.20200i | ||||||
\(966\) | 7814.16 | − | 1775.90i | 0.00837391 | − | 0.00190311i | ||||
\(967\) | 234469. | 0.250745 | 0.125372 | − | 0.992110i | \(-0.459987\pi\) | ||||
0.125372 | + | 0.992110i | \(0.459987\pi\) | |||||||
\(968\) | 29718.8 | − | 34297.3i | 0.0317161 | − | 0.0366023i | ||||
\(969\) | 553038. | − | 355416.i | 0.588989 | − | 0.378520i | ||||
\(970\) | −93386.3 | − | 649516.i | −0.0992521 | − | 0.690314i | ||||
\(971\) | 681861. | − | 311395.i | 0.723198 | − | 0.330274i | −0.0195826 | − | 0.999808i | \(-0.506234\pi\) |
0.742781 | + | 0.669535i | \(0.233506\pi\) | |||||||
\(972\) | −4312.70 | + | 29995.5i | −0.00456475 | + | 0.0317485i | ||||
\(973\) | 1328.54 | + | 4524.60i | 0.00140330 | + | 0.00477919i | ||||
\(974\) | 876686. | + | 563412.i | 0.924115 | + | 0.593893i | ||||
\(975\) | −108225. | + | 236980.i | −0.113846 | + | 0.249289i | ||||
\(976\) | −46798.6 | + | 159381.i | −0.0491284 | + | 0.167316i | ||||
\(977\) | −608331. | + | 527121.i | −0.637310 | + | 0.552232i | −0.912458 | − | 0.409170i | \(-0.865818\pi\) |
0.275149 | + | 0.961402i | \(0.411273\pi\) | |||||||
\(978\) | 92140.0 | + | 106335.i | 0.0963320 | + | 0.111173i | ||||
\(979\) | −218247. | − | 64083.0i | −0.227710 | − | 0.0668617i | ||||
\(980\) | −838476. | − | 382919.i | −0.873049 | − | 0.398708i | ||||
\(981\) | 305874. | − | 475949.i | 0.317837 | − | 0.494564i | ||||
\(982\) | −638237. | + | 187403.i | −0.661849 | + | 0.194336i | ||||
\(983\) | −1.76688e6 | − | 254040.i | −1.82853 | − | 0.262902i | −0.859728 | − | 0.510753i | \(-0.829367\pi\) |
−0.968798 | + | 0.247850i | \(0.920276\pi\) | |||||||
\(984\) | 122240. | + | 267667.i | 0.126247 | + | 0.276443i | ||||
\(985\) | −2.76793e6 | + | 397968.i | −2.85287 | + | 0.410181i | ||||
\(986\) | 184929. | + | 287755.i | 0.190218 | + | 0.295984i | ||||
\(987\) | −286.751 | − | 248.471i | −0.000294355 | − | 0.000255060i | ||||
\(988\) | − | 62383.5i | − | 0.0639081i | ||||||
\(989\) | −882632. | − | 1.15655e6i | −0.902375 | − | 1.18242i | ||||
\(990\) | 473050. | 0.482654 | ||||||||
\(991\) | −359256. | + | 414603.i | −0.365811 | + | 0.422168i | −0.908578 | − | 0.417715i | \(-0.862831\pi\) |
0.542767 | + | 0.839883i | \(0.317377\pi\) | |||||||
\(992\) | −21238.0 | + | 13648.8i | −0.0215819 | + | 0.0138699i | ||||
\(993\) | −28113.1 | − | 195531.i | −0.0285108 | − | 0.198297i | ||||
\(994\) | −19619.3 | + | 8959.83i | −0.0198569 | + | 0.00906832i | ||||
\(995\) | −192734. | + | 1.34049e6i | −0.194676 | + | 1.35400i | ||||
\(996\) | −31564.4 | − | 107498.i | −0.0318184 | − | 0.108364i | ||||
\(997\) | 550110. | + | 353534.i | 0.553426 | + | 0.355665i | 0.787270 | − | 0.616609i | \(-0.211494\pi\) |
−0.233844 | + | 0.972274i | \(0.575130\pi\) | |||||||
\(998\) | 317881. | − | 696062.i | 0.319156 | − | 0.698854i | ||||
\(999\) | 101863. | − | 346914.i | 0.102067 | − | 0.347609i |
(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 | 138.5.h.a.7.8 | ✓ | 160 | |
23.10 | odd | 22 | inner | 138.5.h.a.79.8 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.5.h.a.7.8 | ✓ | 160 | 1.1 | even | 1 | trivial | |
138.5.h.a.79.8 | yes | 160 | 23.10 | odd | 22 | inner |