Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,3,Mod(119,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.64580135835\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.11 | ||
Character | \(\chi\) | \(=\) | 354.119 |
Dual form | 354.3.b.a.119.31 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.41421i | − | 0.707107i | ||||||
\(3\) | −0.0106251 | + | 2.99998i | −0.00354170 | + | 0.999994i | ||||
\(4\) | −2.00000 | −0.500000 | ||||||||
\(5\) | − | 7.50817i | − | 1.50163i | −0.660510 | − | 0.750817i | \(-0.729660\pi\) | ||
0.660510 | − | 0.750817i | \(-0.270340\pi\) | |||||||
\(6\) | 4.24261 | + | 0.0150262i | 0.707102 | + | 0.00250436i | ||||
\(7\) | 12.9231 | 1.84615 | 0.923077 | − | 0.384614i | \(-0.125665\pi\) | ||||
0.923077 | + | 0.384614i | \(0.125665\pi\) | |||||||
\(8\) | 2.82843i | 0.353553i | ||||||||
\(9\) | −8.99977 | − | 0.0637503i | −0.999975 | − | 0.00708336i | ||||
\(10\) | −10.6182 | −1.06182 | ||||||||
\(11\) | − | 2.19665i | − | 0.199695i | −0.995003 | − | 0.0998477i | \(-0.968164\pi\) | ||
0.995003 | − | 0.0998477i | \(-0.0318355\pi\) | |||||||
\(12\) | 0.0212502 | − | 5.99996i | 0.00177085 | − | 0.499997i | ||||
\(13\) | −19.0586 | −1.46605 | −0.733024 | − | 0.680202i | \(-0.761892\pi\) | ||||
−0.733024 | + | 0.680202i | \(0.761892\pi\) | |||||||
\(14\) | − | 18.2760i | − | 1.30543i | ||||||
\(15\) | 22.5244 | + | 0.0797751i | 1.50162 | + | 0.00531834i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | − | 11.7264i | − | 0.689786i | −0.938642 | − | 0.344893i | \(-0.887915\pi\) | ||
0.938642 | − | 0.344893i | \(-0.112085\pi\) | |||||||
\(18\) | −0.0901565 | + | 12.7276i | −0.00500869 | + | 0.707089i | ||||
\(19\) | 28.8841 | 1.52022 | 0.760108 | − | 0.649797i | \(-0.225146\pi\) | ||||
0.760108 | + | 0.649797i | \(0.225146\pi\) | |||||||
\(20\) | 15.0163i | 0.750817i | ||||||||
\(21\) | −0.137309 | + | 38.7690i | −0.00653853 | + | 1.84614i | ||||
\(22\) | −3.10653 | −0.141206 | ||||||||
\(23\) | − | 23.9709i | − | 1.04221i | −0.853492 | − | 0.521105i | \(-0.825520\pi\) | ||
0.853492 | − | 0.521105i | \(-0.174480\pi\) | |||||||
\(24\) | −8.48523 | − | 0.0300524i | −0.353551 | − | 0.00125218i | ||||
\(25\) | −31.3726 | −1.25490 | ||||||||
\(26\) | 26.9530i | 1.03665i | ||||||||
\(27\) | 0.286873 | − | 26.9985i | 0.0106249 | − | 0.999944i | ||||
\(28\) | −25.8462 | −0.923077 | ||||||||
\(29\) | − | 19.1785i | − | 0.661329i | −0.943748 | − | 0.330664i | \(-0.892727\pi\) | ||
0.943748 | − | 0.330664i | \(-0.107273\pi\) | |||||||
\(30\) | 0.112819 | − | 31.8543i | 0.00376064 | − | 1.06181i | ||||
\(31\) | 13.9695 | 0.450629 | 0.225314 | − | 0.974286i | \(-0.427659\pi\) | ||||
0.225314 | + | 0.974286i | \(0.427659\pi\) | |||||||
\(32\) | − | 5.65685i | − | 0.176777i | ||||||
\(33\) | 6.58990 | + | 0.0233396i | 0.199694 | + | 0.000707262i | ||||
\(34\) | −16.5836 | −0.487752 | ||||||||
\(35\) | − | 97.0287i | − | 2.77225i | ||||||
\(36\) | 17.9995 | + | 0.127501i | 0.499987 | + | 0.00354168i | ||||
\(37\) | 16.2845 | 0.440123 | 0.220061 | − | 0.975486i | \(-0.429374\pi\) | ||||
0.220061 | + | 0.975486i | \(0.429374\pi\) | |||||||
\(38\) | − | 40.8483i | − | 1.07495i | ||||||
\(39\) | 0.202500 | − | 57.1755i | 0.00519231 | − | 1.46604i | ||||
\(40\) | 21.2363 | 0.530908 | ||||||||
\(41\) | − | 51.4083i | − | 1.25386i | −0.779075 | − | 0.626930i | \(-0.784311\pi\) | ||
0.779075 | − | 0.626930i | \(-0.215689\pi\) | |||||||
\(42\) | 54.8277 | + | 0.194185i | 1.30542 | + | 0.00462344i | ||||
\(43\) | −16.7861 | −0.390375 | −0.195187 | − | 0.980766i | \(-0.562532\pi\) | ||||
−0.195187 | + | 0.980766i | \(0.562532\pi\) | |||||||
\(44\) | 4.39330i | 0.0998477i | ||||||||
\(45\) | −0.478648 | + | 67.5718i | −0.0106366 | + | 1.50160i | ||||
\(46\) | −33.8999 | −0.736954 | ||||||||
\(47\) | 28.3472i | 0.603132i | 0.953445 | + | 0.301566i | \(0.0975094\pi\) | ||||
−0.953445 | + | 0.301566i | \(0.902491\pi\) | |||||||
\(48\) | −0.0425004 | + | 11.9999i | −0.000885426 | + | 0.249998i | ||||
\(49\) | 118.006 | 2.40829 | ||||||||
\(50\) | 44.3676i | 0.887351i | ||||||||
\(51\) | 35.1789 | + | 0.124594i | 0.689782 | + | 0.00244302i | ||||
\(52\) | 38.1173 | 0.733024 | ||||||||
\(53\) | − | 60.4539i | − | 1.14064i | −0.821423 | − | 0.570320i | \(-0.806819\pi\) | ||
0.821423 | − | 0.570320i | \(-0.193181\pi\) | |||||||
\(54\) | −38.1816 | − | 0.405700i | −0.707067 | − | 0.00751296i | ||||
\(55\) | −16.4928 | −0.299869 | ||||||||
\(56\) | 36.5520i | 0.652714i | ||||||||
\(57\) | −0.306897 | + | 86.6517i | −0.00538415 | + | 1.52021i | ||||
\(58\) | −27.1226 | −0.467630 | ||||||||
\(59\) | − | 7.68115i | − | 0.130189i | ||||||
\(60\) | −45.0487 | − | 0.159550i | −0.750812 | − | 0.00265917i | ||||
\(61\) | −93.2370 | −1.52848 | −0.764238 | − | 0.644935i | \(-0.776885\pi\) | ||||
−0.764238 | + | 0.644935i | \(0.776885\pi\) | |||||||
\(62\) | − | 19.7558i | − | 0.318643i | ||||||
\(63\) | −116.305 | − | 0.823850i | −1.84611 | − | 0.0130770i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 143.095i | 2.20147i | ||||||||
\(66\) | 0.0330072 | − | 9.31953i | 0.000500110 | − | 0.141205i | ||||
\(67\) | 64.6402 | 0.964779 | 0.482390 | − | 0.875957i | \(-0.339769\pi\) | ||||
0.482390 | + | 0.875957i | \(0.339769\pi\) | |||||||
\(68\) | 23.4527i | 0.344893i | ||||||||
\(69\) | 71.9121 | + | 0.254693i | 1.04220 | + | 0.00369120i | ||||
\(70\) | −137.219 | −1.96028 | ||||||||
\(71\) | 105.907i | 1.49165i | 0.666144 | + | 0.745823i | \(0.267944\pi\) | ||||
−0.666144 | + | 0.745823i | \(0.732056\pi\) | |||||||
\(72\) | 0.180313 | − | 25.4552i | 0.00250435 | − | 0.353545i | ||||
\(73\) | 94.2704 | 1.29138 | 0.645688 | − | 0.763602i | \(-0.276571\pi\) | ||||
0.645688 | + | 0.763602i | \(0.276571\pi\) | |||||||
\(74\) | − | 23.0298i | − | 0.311214i | ||||||
\(75\) | 0.333337 | − | 94.1172i | 0.00444450 | − | 1.25490i | ||||
\(76\) | −57.7682 | −0.760108 | ||||||||
\(77\) | − | 28.3875i | − | 0.368669i | ||||||
\(78\) | −80.8584 | − | 0.286378i | −1.03665 | − | 0.00367152i | ||||
\(79\) | −40.9804 | −0.518740 | −0.259370 | − | 0.965778i | \(-0.583515\pi\) | ||||
−0.259370 | + | 0.965778i | \(0.583515\pi\) | |||||||
\(80\) | − | 30.0327i | − | 0.375408i | ||||||
\(81\) | 80.9919 | + | 1.14748i | 0.999900 | + | 0.0141664i | ||||
\(82\) | −72.7023 | −0.886613 | ||||||||
\(83\) | 138.310i | 1.66639i | 0.552982 | + | 0.833193i | \(0.313490\pi\) | ||||
−0.552982 | + | 0.833193i | \(0.686510\pi\) | |||||||
\(84\) | 0.274618 | − | 77.5380i | 0.00326927 | − | 0.923072i | ||||
\(85\) | −88.0435 | −1.03581 | ||||||||
\(86\) | 23.7392i | 0.276037i | ||||||||
\(87\) | 57.5353 | + | 0.203774i | 0.661325 | + | 0.00234223i | ||||
\(88\) | 6.21306 | 0.0706030 | ||||||||
\(89\) | 0.634392i | 0.00712799i | 0.999994 | + | 0.00356400i | \(0.00113446\pi\) | ||||
−0.999994 | + | 0.00356400i | \(0.998866\pi\) | |||||||
\(90\) | 95.5610 | + | 0.676910i | 1.06179 | + | 0.00752122i | ||||
\(91\) | −246.296 | −2.70655 | ||||||||
\(92\) | 47.9417i | 0.521105i | ||||||||
\(93\) | −0.148427 | + | 41.9082i | −0.00159599 | + | 0.450626i | ||||
\(94\) | 40.0890 | 0.426479 | ||||||||
\(95\) | − | 216.867i | − | 2.28281i | ||||||
\(96\) | 16.9705 | + | 0.0601047i | 0.176776 | + | 0.000626091i | ||||
\(97\) | −151.068 | −1.55740 | −0.778699 | − | 0.627397i | \(-0.784120\pi\) | ||||
−0.778699 | + | 0.627397i | \(0.784120\pi\) | |||||||
\(98\) | − | 166.886i | − | 1.70292i | ||||||
\(99\) | −0.140037 | + | 19.7693i | −0.00141451 | + | 0.199690i | ||||
\(100\) | 62.7452 | 0.627452 | ||||||||
\(101\) | 76.1666i | 0.754125i | 0.926188 | + | 0.377062i | \(0.123066\pi\) | ||||
−0.926188 | + | 0.377062i | \(0.876934\pi\) | |||||||
\(102\) | 0.176202 | − | 49.7504i | 0.00172747 | − | 0.487749i | ||||
\(103\) | 140.882 | 1.36779 | 0.683893 | − | 0.729582i | \(-0.260285\pi\) | ||||
0.683893 | + | 0.729582i | \(0.260285\pi\) | |||||||
\(104\) | − | 53.9060i | − | 0.518327i | ||||||
\(105\) | 291.084 | + | 1.03094i | 2.77223 | + | 0.00981848i | ||||
\(106\) | −85.4947 | −0.806554 | ||||||||
\(107\) | 144.259i | 1.34822i | 0.738633 | + | 0.674108i | \(0.235472\pi\) | ||||
−0.738633 | + | 0.674108i | \(0.764528\pi\) | |||||||
\(108\) | −0.573746 | + | 53.9970i | −0.00531247 | + | 0.499972i | ||||
\(109\) | −116.101 | −1.06515 | −0.532574 | − | 0.846383i | \(-0.678775\pi\) | ||||
−0.532574 | + | 0.846383i | \(0.678775\pi\) | |||||||
\(110\) | 23.3244i | 0.212040i | ||||||||
\(111\) | −0.173025 | + | 48.8533i | −0.00155879 | + | 0.440120i | ||||
\(112\) | 51.6923 | 0.461539 | ||||||||
\(113\) | 149.135i | 1.31978i | 0.751363 | + | 0.659889i | \(0.229397\pi\) | ||||
−0.751363 | + | 0.659889i | \(0.770603\pi\) | |||||||
\(114\) | 122.544 | + | 0.434017i | 1.07495 | + | 0.00380717i | ||||
\(115\) | −179.977 | −1.56502 | ||||||||
\(116\) | 38.3571i | 0.330664i | ||||||||
\(117\) | 171.523 | + | 1.21499i | 1.46601 | + | 0.0103846i | ||||
\(118\) | −10.8628 | −0.0920575 | ||||||||
\(119\) | − | 151.541i | − | 1.27345i | ||||||
\(120\) | −0.225638 | + | 63.7085i | −0.00188032 | + | 0.530904i | ||||
\(121\) | 116.175 | 0.960122 | ||||||||
\(122\) | 131.857i | 1.08080i | ||||||||
\(123\) | 154.224 | + | 0.546219i | 1.25385 | + | 0.00444080i | ||||
\(124\) | −27.9390 | −0.225314 | ||||||||
\(125\) | 47.8466i | 0.382773i | ||||||||
\(126\) | −1.16510 | + | 164.480i | −0.00924682 | + | 1.30540i | ||||
\(127\) | 13.4749 | 0.106101 | 0.0530507 | − | 0.998592i | \(-0.483105\pi\) | ||||
0.0530507 | + | 0.998592i | \(0.483105\pi\) | |||||||
\(128\) | 11.3137i | 0.0883883i | ||||||||
\(129\) | 0.178354 | − | 50.3581i | 0.00138259 | − | 0.390373i | ||||
\(130\) | 202.368 | 1.55667 | ||||||||
\(131\) | 126.704i | 0.967204i | 0.875288 | + | 0.483602i | \(0.160672\pi\) | ||||
−0.875288 | + | 0.483602i | \(0.839328\pi\) | |||||||
\(132\) | −13.1798 | − | 0.0466793i | −0.0998470 | − | 0.000353631i | ||||
\(133\) | 373.272 | 2.80655 | ||||||||
\(134\) | − | 91.4151i | − | 0.682202i | ||||||
\(135\) | −202.709 | − | 2.15389i | −1.50155 | − | 0.0159548i | ||||
\(136\) | 33.1672 | 0.243876 | ||||||||
\(137\) | 116.940i | 0.853578i | 0.904351 | + | 0.426789i | \(0.140355\pi\) | ||||
−0.904351 | + | 0.426789i | \(0.859645\pi\) | |||||||
\(138\) | 0.360190 | − | 101.699i | 0.00261007 | − | 0.736950i | ||||
\(139\) | 16.8055 | 0.120903 | 0.0604515 | − | 0.998171i | \(-0.480746\pi\) | ||||
0.0604515 | + | 0.998171i | \(0.480746\pi\) | |||||||
\(140\) | 194.057i | 1.38612i | ||||||||
\(141\) | −85.0411 | − | 0.301192i | −0.603129 | − | 0.00213612i | ||||
\(142\) | 149.775 | 1.05475 | ||||||||
\(143\) | 41.8651i | 0.292763i | ||||||||
\(144\) | −35.9991 | − | 0.255001i | −0.249994 | − | 0.00177084i | ||||
\(145\) | −143.996 | −0.993074 | ||||||||
\(146\) | − | 133.318i | − | 0.913140i | ||||||
\(147\) | −1.25383 | + | 354.016i | −0.00852944 | + | 2.40827i | ||||
\(148\) | −32.5691 | −0.220061 | ||||||||
\(149\) | − | 72.3524i | − | 0.485587i | −0.970078 | − | 0.242793i | \(-0.921936\pi\) | ||
0.970078 | − | 0.242793i | \(-0.0780637\pi\) | |||||||
\(150\) | −133.102 | − | 0.471410i | −0.887346 | − | 0.00314274i | ||||
\(151\) | 66.6573 | 0.441439 | 0.220720 | − | 0.975337i | \(-0.429159\pi\) | ||||
0.220720 | + | 0.975337i | \(0.429159\pi\) | |||||||
\(152\) | 81.6965i | 0.537477i | ||||||||
\(153\) | −0.747559 | + | 105.535i | −0.00488600 | + | 0.689769i | ||||
\(154\) | −40.1460 | −0.260688 | ||||||||
\(155\) | − | 104.885i | − | 0.676679i | ||||||
\(156\) | −0.405000 | + | 114.351i | −0.00259616 | + | 0.733020i | ||||
\(157\) | −121.141 | −0.771601 | −0.385801 | − | 0.922582i | \(-0.626075\pi\) | ||||
−0.385801 | + | 0.922582i | \(0.626075\pi\) | |||||||
\(158\) | 57.9551i | 0.366804i | ||||||||
\(159\) | 181.361 | + | 0.642329i | 1.14063 | + | 0.00403981i | ||||
\(160\) | −42.4726 | −0.265454 | ||||||||
\(161\) | − | 309.777i | − | 1.92408i | ||||||
\(162\) | 1.62278 | − | 114.540i | 0.0100171 | − | 0.707036i | ||||
\(163\) | 72.3521 | 0.443878 | 0.221939 | − | 0.975061i | \(-0.428761\pi\) | ||||
0.221939 | + | 0.975061i | \(0.428761\pi\) | |||||||
\(164\) | 102.817i | 0.626930i | ||||||||
\(165\) | 0.175238 | − | 49.4781i | 0.00106205 | − | 0.299867i | ||||
\(166\) | 195.600 | 1.17831 | ||||||||
\(167\) | − | 268.069i | − | 1.60521i | −0.596514 | − | 0.802603i | \(-0.703448\pi\) | ||
0.596514 | − | 0.802603i | \(-0.296552\pi\) | |||||||
\(168\) | −109.655 | − | 0.388369i | −0.652710 | − | 0.00231172i | ||||
\(169\) | 194.232 | 1.14930 | ||||||||
\(170\) | 124.512i | 0.732425i | ||||||||
\(171\) | −259.950 | − | 1.84137i | −1.52018 | − | 0.0107682i | ||||
\(172\) | 33.5722 | 0.195187 | ||||||||
\(173\) | − | 150.824i | − | 0.871814i | −0.899992 | − | 0.435907i | \(-0.856428\pi\) | ||
0.899992 | − | 0.435907i | \(-0.143572\pi\) | |||||||
\(174\) | 0.288180 | − | 81.3671i | 0.00165621 | − | 0.467627i | ||||
\(175\) | −405.431 | −2.31675 | ||||||||
\(176\) | − | 8.78659i | − | 0.0499238i | ||||||
\(177\) | 23.0433 | + | 0.0816130i | 0.130188 | + | 0.000461091i | ||||
\(178\) | 0.897165 | 0.00504025 | ||||||||
\(179\) | − | 58.3060i | − | 0.325732i | −0.986648 | − | 0.162866i | \(-0.947926\pi\) | ||
0.986648 | − | 0.162866i | \(-0.0520738\pi\) | |||||||
\(180\) | 0.957296 | − | 135.144i | 0.00531831 | − | 0.750798i | ||||
\(181\) | −228.982 | −1.26510 | −0.632548 | − | 0.774521i | \(-0.717991\pi\) | ||||
−0.632548 | + | 0.774521i | \(0.717991\pi\) | |||||||
\(182\) | 348.316i | 1.91382i | ||||||||
\(183\) | 0.990653 | − | 279.709i | 0.00541341 | − | 1.52847i | ||||
\(184\) | 67.7998 | 0.368477 | ||||||||
\(185\) | − | 122.267i | − | 0.660904i | ||||||
\(186\) | 59.2672 | + | 0.209908i | 0.318641 | + | 0.00112854i | ||||
\(187\) | −25.7587 | −0.137747 | ||||||||
\(188\) | − | 56.6945i | − | 0.301566i | ||||||
\(189\) | 3.70729 | − | 348.904i | 0.0196153 | − | 1.84605i | ||||
\(190\) | −306.696 | −1.61419 | ||||||||
\(191\) | 104.974i | 0.549600i | 0.961501 | + | 0.274800i | \(0.0886116\pi\) | ||||
−0.961501 | + | 0.274800i | \(0.911388\pi\) | |||||||
\(192\) | 0.0850009 | − | 23.9998i | 0.000442713 | − | 0.124999i | ||||
\(193\) | 279.592 | 1.44866 | 0.724332 | − | 0.689451i | \(-0.242148\pi\) | ||||
0.724332 | + | 0.689451i | \(0.242148\pi\) | |||||||
\(194\) | 213.642i | 1.10125i | ||||||||
\(195\) | −429.284 | − | 1.52041i | −2.20145 | − | 0.00779695i | ||||
\(196\) | −236.012 | −1.20414 | ||||||||
\(197\) | 13.7619i | 0.0698575i | 0.999390 | + | 0.0349288i | \(0.0111204\pi\) | ||||
−0.999390 | + | 0.0349288i | \(0.988880\pi\) | |||||||
\(198\) | 27.9581 | + | 0.198042i | 0.141202 | + | 0.00100021i | ||||
\(199\) | 199.148 | 1.00074 | 0.500372 | − | 0.865810i | \(-0.333196\pi\) | ||||
0.500372 | + | 0.865810i | \(0.333196\pi\) | |||||||
\(200\) | − | 88.7351i | − | 0.443676i | ||||||
\(201\) | −0.686809 | + | 193.919i | −0.00341696 | + | 0.964773i | ||||
\(202\) | 107.716 | 0.533247 | ||||||||
\(203\) | − | 247.846i | − | 1.22092i | ||||||
\(204\) | −70.3577 | − | 0.249188i | −0.344891 | − | 0.00122151i | ||||
\(205\) | −385.982 | −1.88284 | ||||||||
\(206\) | − | 199.237i | − | 0.967171i | ||||||
\(207\) | −1.52815 | + | 215.732i | −0.00738236 | + | 1.04218i | ||||
\(208\) | −76.2345 | −0.366512 | ||||||||
\(209\) | − | 63.4482i | − | 0.303580i | ||||||
\(210\) | 1.45797 | − | 411.655i | 0.00694272 | − | 1.96026i | ||||
\(211\) | −32.1189 | −0.152222 | −0.0761110 | − | 0.997099i | \(-0.524250\pi\) | ||||
−0.0761110 | + | 0.997099i | \(0.524250\pi\) | |||||||
\(212\) | 120.908i | 0.570320i | ||||||||
\(213\) | −317.719 | − | 1.12527i | −1.49164 | − | 0.00528297i | ||||
\(214\) | 204.013 | 0.953333 | ||||||||
\(215\) | 126.033i | 0.586200i | ||||||||
\(216\) | 76.3632 | + | 0.811400i | 0.353533 | + | 0.00375648i | ||||
\(217\) | 180.529 | 0.831930 | ||||||||
\(218\) | 164.192i | 0.753174i | ||||||||
\(219\) | −1.00163 | + | 282.809i | −0.00457367 | + | 1.29137i | ||||
\(220\) | 32.9856 | 0.149935 | ||||||||
\(221\) | 223.488i | 1.01126i | ||||||||
\(222\) | 69.0891 | + | 0.244694i | 0.311212 | + | 0.00110223i | ||||
\(223\) | −404.525 | −1.81402 | −0.907008 | − | 0.421114i | \(-0.861639\pi\) | ||||
−0.907008 | + | 0.421114i | \(0.861639\pi\) | |||||||
\(224\) | − | 73.1040i | − | 0.326357i | ||||||
\(225\) | 282.346 | + | 2.00001i | 1.25487 | + | 0.00888894i | ||||
\(226\) | 210.908 | 0.933223 | ||||||||
\(227\) | 261.677i | 1.15276i | 0.817181 | + | 0.576381i | \(0.195535\pi\) | ||||
−0.817181 | + | 0.576381i | \(0.804465\pi\) | |||||||
\(228\) | 0.613793 | − | 173.303i | 0.00269208 | − | 0.760103i | ||||
\(229\) | 164.947 | 0.720290 | 0.360145 | − | 0.932896i | \(-0.382727\pi\) | ||||
0.360145 | + | 0.932896i | \(0.382727\pi\) | |||||||
\(230\) | 254.526i | 1.10664i | ||||||||
\(231\) | 85.1619 | + | 0.301620i | 0.368666 | + | 0.00130571i | ||||
\(232\) | 54.2451 | 0.233815 | ||||||||
\(233\) | − | 137.098i | − | 0.588405i | −0.955743 | − | 0.294203i | \(-0.904946\pi\) | ||
0.955743 | − | 0.294203i | \(-0.0950541\pi\) | |||||||
\(234\) | 1.71826 | − | 242.571i | 0.00734299 | − | 1.03663i | ||||
\(235\) | 212.836 | 0.905684 | ||||||||
\(236\) | 15.3623i | 0.0650945i | ||||||||
\(237\) | 0.435422 | − | 122.940i | 0.00183722 | − | 0.518736i | ||||
\(238\) | −214.311 | −0.900466 | ||||||||
\(239\) | 216.462i | 0.905698i | 0.891587 | + | 0.452849i | \(0.149592\pi\) | ||||
−0.891587 | + | 0.452849i | \(0.850408\pi\) | |||||||
\(240\) | 90.0975 | + | 0.319101i | 0.375406 | + | 0.00132959i | ||||
\(241\) | 74.4340 | 0.308855 | 0.154427 | − | 0.988004i | \(-0.450647\pi\) | ||||
0.154427 | + | 0.988004i | \(0.450647\pi\) | |||||||
\(242\) | − | 164.296i | − | 0.678909i | ||||||
\(243\) | −4.30295 | + | 242.962i | −0.0177076 | + | 0.999843i | ||||
\(244\) | 186.474 | 0.764238 | ||||||||
\(245\) | − | 886.010i | − | 3.61637i | ||||||
\(246\) | 0.772470 | − | 218.106i | 0.00314012 | − | 0.886608i | ||||
\(247\) | −550.491 | −2.22871 | ||||||||
\(248\) | 39.5117i | 0.159321i | ||||||||
\(249\) | −414.928 | − | 1.46956i | −1.66638 | − | 0.00590185i | ||||
\(250\) | 67.6653 | 0.270661 | ||||||||
\(251\) | 66.5781i | 0.265251i | 0.991166 | + | 0.132626i | \(0.0423408\pi\) | ||||
−0.991166 | + | 0.132626i | \(0.957659\pi\) | |||||||
\(252\) | 232.610 | + | 1.64770i | 0.923054 | + | 0.00653849i | ||||
\(253\) | −52.6555 | −0.208125 | ||||||||
\(254\) | − | 19.0564i | − | 0.0750251i | ||||||
\(255\) | 0.935472 | − | 264.129i | 0.00366852 | − | 1.03580i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | − | 140.258i | − | 0.545751i | −0.962049 | − | 0.272876i | \(-0.912025\pi\) | ||
0.962049 | − | 0.272876i | \(-0.0879747\pi\) | |||||||
\(258\) | −71.2170 | − | 0.252231i | −0.276035 | − | 0.000977641i | ||||
\(259\) | 210.447 | 0.812535 | ||||||||
\(260\) | − | 286.191i | − | 1.10073i | ||||||
\(261\) | −1.22264 | + | 172.603i | −0.00468443 | + | 0.661312i | ||||
\(262\) | 179.186 | 0.683917 | ||||||||
\(263\) | 45.4756i | 0.172911i | 0.996256 | + | 0.0864556i | \(0.0275541\pi\) | ||||
−0.996256 | + | 0.0864556i | \(0.972446\pi\) | |||||||
\(264\) | −0.0660145 | + | 18.6391i | −0.000250055 | + | 0.0706025i | ||||
\(265\) | −453.898 | −1.71282 | ||||||||
\(266\) | − | 527.886i | − | 1.98453i | ||||||
\(267\) | −1.90316 | − | 0.00674048i | −0.00712795 | − | 2.52452e-5i | ||||
\(268\) | −129.280 | −0.482390 | ||||||||
\(269\) | 178.303i | 0.662836i | 0.943484 | + | 0.331418i | \(0.107527\pi\) | ||||
−0.943484 | + | 0.331418i | \(0.892473\pi\) | |||||||
\(270\) | −3.04606 | + | 286.674i | −0.0112817 | + | 1.06176i | ||||
\(271\) | 365.293 | 1.34794 | 0.673972 | − | 0.738757i | \(-0.264587\pi\) | ||||
0.673972 | + | 0.738757i | \(0.264587\pi\) | |||||||
\(272\) | − | 46.9054i | − | 0.172446i | ||||||
\(273\) | 2.61693 | − | 738.884i | 0.00958581 | − | 2.70654i | ||||
\(274\) | 165.378 | 0.603571 | ||||||||
\(275\) | 68.9146i | 0.250599i | ||||||||
\(276\) | −143.824 | − | 0.509386i | −0.521102 | − | 0.00184560i | ||||
\(277\) | 199.538 | 0.720355 | 0.360177 | − | 0.932884i | \(-0.382716\pi\) | ||||
0.360177 | + | 0.932884i | \(0.382716\pi\) | |||||||
\(278\) | − | 23.7666i | − | 0.0854913i | ||||||
\(279\) | −125.722 | − | 0.890559i | −0.450617 | − | 0.00319197i | ||||
\(280\) | 274.439 | 0.980138 | ||||||||
\(281\) | 363.223i | 1.29261i | 0.763080 | + | 0.646304i | \(0.223686\pi\) | ||||
−0.763080 | + | 0.646304i | \(0.776314\pi\) | |||||||
\(282\) | −0.425950 | + | 120.266i | −0.00151046 | + | 0.426476i | ||||
\(283\) | 161.026 | 0.568995 | 0.284498 | − | 0.958677i | \(-0.408173\pi\) | ||||
0.284498 | + | 0.958677i | \(0.408173\pi\) | |||||||
\(284\) | − | 211.814i | − | 0.745823i | ||||||
\(285\) | 650.596 | + | 2.30423i | 2.28279 | + | 0.00808503i | ||||
\(286\) | 59.2062 | 0.207015 | ||||||||
\(287\) | − | 664.354i | − | 2.31482i | ||||||
\(288\) | −0.360626 | + | 50.9104i | −0.00125217 | + | 0.176772i | ||||
\(289\) | 151.493 | 0.524196 | ||||||||
\(290\) | 203.641i | 0.702209i | ||||||||
\(291\) | 1.60511 | − | 453.200i | 0.00551584 | − | 1.55739i | ||||
\(292\) | −188.541 | −0.645688 | ||||||||
\(293\) | 277.782i | 0.948063i | 0.880508 | + | 0.474032i | \(0.157202\pi\) | ||||
−0.880508 | + | 0.474032i | \(0.842798\pi\) | |||||||
\(294\) | 500.654 | + | 1.77318i | 1.70291 | + | 0.00603123i | ||||
\(295\) | −57.6713 | −0.195496 | ||||||||
\(296\) | 46.0597i | 0.155607i | ||||||||
\(297\) | −59.3062 | − | 0.630160i | −0.199684 | − | 0.00212175i | ||||
\(298\) | −102.322 | −0.343362 | ||||||||
\(299\) | 456.852i | 1.52793i | ||||||||
\(300\) | −0.666675 | + | 188.234i | −0.00222225 | + | 0.627448i | ||||
\(301\) | −216.928 | −0.720693 | ||||||||
\(302\) | − | 94.2676i | − | 0.312145i | ||||||
\(303\) | −228.498 | − | 0.809279i | −0.754120 | − | 0.00267089i | ||||
\(304\) | 115.536 | 0.380054 | ||||||||
\(305\) | 700.039i | 2.29521i | ||||||||
\(306\) | 149.248 | + | 1.05721i | 0.487740 | + | 0.00345493i | ||||
\(307\) | −14.9349 | −0.0486479 | −0.0243239 | − | 0.999704i | \(-0.507743\pi\) | ||||
−0.0243239 | + | 0.999704i | \(0.507743\pi\) | |||||||
\(308\) | 56.7750i | 0.184334i | ||||||||
\(309\) | −1.49689 | + | 422.643i | −0.00484429 | + | 1.36778i | ||||
\(310\) | −148.330 | −0.478485 | ||||||||
\(311\) | 69.1784i | 0.222439i | 0.993796 | + | 0.111219i | \(0.0354756\pi\) | ||||
−0.993796 | + | 0.111219i | \(0.964524\pi\) | |||||||
\(312\) | 161.717 | + | 0.572757i | 0.518323 | + | 0.00183576i | ||||
\(313\) | −63.2371 | −0.202036 | −0.101018 | − | 0.994885i | \(-0.532210\pi\) | ||||
−0.101018 | + | 0.994885i | \(0.532210\pi\) | |||||||
\(314\) | 171.320i | 0.545604i | ||||||||
\(315\) | −6.18561 | + | 873.236i | −0.0196368 | + | 2.77218i | ||||
\(316\) | 81.9608 | 0.259370 | ||||||||
\(317\) | − | 186.102i | − | 0.587072i | −0.955948 | − | 0.293536i | \(-0.905168\pi\) | ||
0.955948 | − | 0.293536i | \(-0.0948320\pi\) | |||||||
\(318\) | 0.908391 | − | 256.483i | 0.00285658 | − | 0.806549i | ||||
\(319\) | −42.1285 | −0.132064 | ||||||||
\(320\) | 60.0654i | 0.187704i | ||||||||
\(321\) | −432.775 | − | 1.53277i | −1.34821 | − | 0.00477498i | ||||
\(322\) | −438.091 | −1.36053 | ||||||||
\(323\) | − | 338.705i | − | 1.04862i | ||||||
\(324\) | −161.984 | − | 2.29495i | −0.499950 | − | 0.00708319i | ||||
\(325\) | 597.919 | 1.83975 | ||||||||
\(326\) | − | 102.321i | − | 0.313869i | ||||||
\(327\) | 1.23359 | − | 348.301i | 0.00377244 | − | 1.06514i | ||||
\(328\) | 145.405 | 0.443307 | ||||||||
\(329\) | 366.334i | 1.11348i | ||||||||
\(330\) | −69.9726 | − | 0.247824i | −0.212038 | − | 0.000750981i | ||||
\(331\) | −282.768 | −0.854283 | −0.427141 | − | 0.904185i | \(-0.640479\pi\) | ||||
−0.427141 | + | 0.904185i | \(0.640479\pi\) | |||||||
\(332\) | − | 276.620i | − | 0.833193i | ||||||
\(333\) | −146.557 | − | 1.03814i | −0.440112 | − | 0.00311755i | ||||
\(334\) | −379.107 | −1.13505 | ||||||||
\(335\) | − | 485.330i | − | 1.44875i | ||||||
\(336\) | −0.549237 | + | 155.076i | −0.00163463 | + | 0.461536i | ||||
\(337\) | −96.1512 | −0.285315 | −0.142658 | − | 0.989772i | \(-0.545565\pi\) | ||||
−0.142658 | + | 0.989772i | \(0.545565\pi\) | |||||||
\(338\) | − | 274.685i | − | 0.812677i | ||||||
\(339\) | −447.402 | − | 1.58457i | −1.31977 | − | 0.00467426i | ||||
\(340\) | 176.087 | 0.517903 | ||||||||
\(341\) | − | 30.6861i | − | 0.0899885i | ||||||
\(342\) | −2.60409 | + | 367.625i | −0.00761429 | + | 1.07493i | ||||
\(343\) | 891.772 | 2.59992 | ||||||||
\(344\) | − | 47.4783i | − | 0.138018i | ||||||
\(345\) | 1.91228 | − | 539.928i | 0.00554283 | − | 1.56501i | ||||
\(346\) | −213.297 | −0.616465 | ||||||||
\(347\) | − | 432.510i | − | 1.24643i | −0.782052 | − | 0.623213i | \(-0.785827\pi\) | ||
0.782052 | − | 0.623213i | \(-0.214173\pi\) | |||||||
\(348\) | −115.071 | − | 0.407548i | −0.330662 | − | 0.00117112i | ||||
\(349\) | 417.105 | 1.19514 | 0.597571 | − | 0.801816i | \(-0.296132\pi\) | ||||
0.597571 | + | 0.801816i | \(0.296132\pi\) | |||||||
\(350\) | 573.366i | 1.63819i | ||||||||
\(351\) | −5.46741 | + | 514.554i | −0.0155767 | + | 1.46597i | ||||
\(352\) | −12.4261 | −0.0353015 | ||||||||
\(353\) | 297.336i | 0.842313i | 0.906988 | + | 0.421156i | \(0.138376\pi\) | ||||
−0.906988 | + | 0.421156i | \(0.861624\pi\) | |||||||
\(354\) | 0.115418 | − | 32.5881i | 0.000326040 | − | 0.0920569i | ||||
\(355\) | 795.167 | 2.23991 | ||||||||
\(356\) | − | 1.26878i | − | 0.00356400i | ||||||
\(357\) | 454.619 | + | 1.61014i | 1.27344 | + | 0.00451019i | ||||
\(358\) | −82.4571 | −0.230327 | ||||||||
\(359\) | − | 127.896i | − | 0.356256i | −0.984007 | − | 0.178128i | \(-0.942996\pi\) | ||
0.984007 | − | 0.178128i | \(-0.0570040\pi\) | |||||||
\(360\) | −191.122 | − | 1.35382i | −0.530894 | − | 0.00376061i | ||||
\(361\) | 473.291 | 1.31105 | ||||||||
\(362\) | 323.830i | 0.894558i | ||||||||
\(363\) | −1.23437 | + | 348.522i | −0.00340047 | + | 0.960116i | ||||
\(364\) | 492.593 | 1.35328 | ||||||||
\(365\) | − | 707.798i | − | 1.93917i | ||||||
\(366\) | −395.569 | − | 1.40100i | −1.08079 | − | 0.00382786i | ||||
\(367\) | 363.706 | 0.991024 | 0.495512 | − | 0.868601i | \(-0.334981\pi\) | ||||
0.495512 | + | 0.868601i | \(0.334981\pi\) | |||||||
\(368\) | − | 95.8834i | − | 0.260553i | ||||||
\(369\) | −3.27729 | + | 462.663i | −0.00888155 | + | 1.25383i | ||||
\(370\) | −172.912 | −0.467329 | ||||||||
\(371\) | − | 781.251i | − | 2.10580i | ||||||
\(372\) | 0.296855 | − | 83.8164i | 0.000797997 | − | 0.225313i | ||||
\(373\) | −400.551 | −1.07386 | −0.536932 | − | 0.843626i | \(-0.680417\pi\) | ||||
−0.536932 | + | 0.843626i | \(0.680417\pi\) | |||||||
\(374\) | 36.4283i | 0.0974018i | ||||||||
\(375\) | −143.539 | − | 0.508375i | −0.382770 | − | 0.00135567i | ||||
\(376\) | −80.1781 | −0.213240 | ||||||||
\(377\) | 365.517i | 0.969541i | ||||||||
\(378\) | −493.424 | − | 5.24289i | −1.30535 | − | 0.0138701i | ||||
\(379\) | −671.306 | −1.77126 | −0.885628 | − | 0.464395i | \(-0.846272\pi\) | ||||
−0.885628 | + | 0.464395i | \(0.846272\pi\) | |||||||
\(380\) | 433.733i | 1.14140i | ||||||||
\(381\) | −0.143172 | + | 40.4244i | −0.000375780 | + | 0.106101i | ||||
\(382\) | 148.455 | 0.388626 | ||||||||
\(383\) | − | 279.173i | − | 0.728912i | −0.931221 | − | 0.364456i | \(-0.881255\pi\) | ||
0.931221 | − | 0.364456i | \(-0.118745\pi\) | |||||||
\(384\) | −33.9409 | − | 0.120209i | −0.0883878 | − | 0.000313045i | ||||
\(385\) | −213.138 | −0.553605 | ||||||||
\(386\) | − | 395.403i | − | 1.02436i | ||||||
\(387\) | 151.071 | + | 1.07012i | 0.390365 | + | 0.00276517i | ||||
\(388\) | 302.135 | 0.778699 | ||||||||
\(389\) | − | 188.868i | − | 0.485521i | −0.970086 | − | 0.242760i | \(-0.921947\pi\) | ||
0.970086 | − | 0.242760i | \(-0.0780528\pi\) | |||||||
\(390\) | −2.15018 | + | 607.099i | −0.00551328 | + | 1.55666i | ||||
\(391\) | −281.091 | −0.718902 | ||||||||
\(392\) | 333.772i | 0.851458i | ||||||||
\(393\) | −380.109 | − | 1.34624i | −0.967198 | − | 0.00342555i | ||||
\(394\) | 19.4623 | 0.0493967 | ||||||||
\(395\) | 307.688i | 0.778957i | ||||||||
\(396\) | 0.280074 | − | 39.5387i | 0.000707257 | − | 0.0998452i | ||||
\(397\) | 477.092 | 1.20174 | 0.600872 | − | 0.799345i | \(-0.294820\pi\) | ||||
0.600872 | + | 0.799345i | \(0.294820\pi\) | |||||||
\(398\) | − | 281.638i | − | 0.707633i | ||||||
\(399\) | −3.96605 | + | 1119.81i | −0.00993998 | + | 2.80654i | ||||
\(400\) | −125.490 | −0.313726 | ||||||||
\(401\) | 704.134i | 1.75594i | 0.478711 | + | 0.877972i | \(0.341104\pi\) | ||||
−0.478711 | + | 0.877972i | \(0.658896\pi\) | |||||||
\(402\) | 274.243 | + | 0.971295i | 0.682198 | + | 0.00241616i | ||||
\(403\) | −266.239 | −0.660644 | ||||||||
\(404\) | − | 152.333i | − | 0.377062i | ||||||
\(405\) | 8.61544 | − | 608.101i | 0.0212727 | − | 1.50148i | ||||
\(406\) | −350.507 | −0.863318 | ||||||||
\(407\) | − | 35.7714i | − | 0.0878905i | ||||||
\(408\) | −0.352405 | + | 99.5008i | −0.000863737 | + | 0.243875i | ||||
\(409\) | 704.331 | 1.72208 | 0.861040 | − | 0.508537i | \(-0.169814\pi\) | ||||
0.861040 | + | 0.508537i | \(0.169814\pi\) | |||||||
\(410\) | 545.861i | 1.33137i | ||||||||
\(411\) | −350.818 | − | 1.24250i | −0.853573 | − | 0.00302312i | ||||
\(412\) | −281.764 | −0.683893 | ||||||||
\(413\) | − | 99.2641i | − | 0.240349i | ||||||
\(414\) | 305.091 | + | 2.16113i | 0.736936 | + | 0.00522012i | ||||
\(415\) | 1038.46 | 2.50230 | ||||||||
\(416\) | 107.812i | 0.259163i | ||||||||
\(417\) | −0.178560 | + | 50.4162i | −0.000428202 | + | 0.120902i | ||||
\(418\) | −89.7293 | −0.214663 | ||||||||
\(419\) | − | 59.8368i | − | 0.142809i | −0.997447 | − | 0.0714043i | \(-0.977252\pi\) | ||
0.997447 | − | 0.0714043i | \(-0.0227480\pi\) | |||||||
\(420\) | −582.169 | − | 2.06188i | −1.38612 | − | 0.00490924i | ||||
\(421\) | −363.449 | −0.863300 | −0.431650 | − | 0.902041i | \(-0.642068\pi\) | ||||
−0.431650 | + | 0.902041i | \(0.642068\pi\) | |||||||
\(422\) | 45.4229i | 0.107637i | ||||||||
\(423\) | 1.80714 | − | 255.119i | 0.00427221 | − | 0.603117i | ||||
\(424\) | 170.989 | 0.403277 | ||||||||
\(425\) | 367.886i | 0.865615i | ||||||||
\(426\) | −1.59138 | + | 449.322i | −0.00373562 | + | 1.05475i | ||||
\(427\) | −1204.91 | −2.82180 | ||||||||
\(428\) | − | 288.518i | − | 0.674108i | ||||||
\(429\) | −125.595 | − | 0.444822i | −0.292761 | − | 0.00103688i | ||||
\(430\) | 178.238 | 0.414506 | ||||||||
\(431\) | 566.168i | 1.31362i | 0.754058 | + | 0.656808i | \(0.228094\pi\) | ||||
−0.754058 | + | 0.656808i | \(0.771906\pi\) | |||||||
\(432\) | 1.14749 | − | 107.994i | 0.00265623 | − | 0.249986i | ||||
\(433\) | 264.588 | 0.611057 | 0.305529 | − | 0.952183i | \(-0.401167\pi\) | ||||
0.305529 | + | 0.952183i | \(0.401167\pi\) | |||||||
\(434\) | − | 255.306i | − | 0.588264i | ||||||
\(435\) | 1.52997 | − | 431.984i | 0.00351717 | − | 0.993068i | ||||
\(436\) | 232.202 | 0.532574 | ||||||||
\(437\) | − | 692.376i | − | 1.58439i | ||||||
\(438\) | 399.953 | + | 1.41652i | 0.913134 | + | 0.00323407i | ||||
\(439\) | −713.977 | −1.62637 | −0.813186 | − | 0.582004i | \(-0.802269\pi\) | ||||
−0.813186 | + | 0.582004i | \(0.802269\pi\) | |||||||
\(440\) | − | 46.6487i | − | 0.106020i | ||||||
\(441\) | −1062.03 | − | 7.52292i | −2.40823 | − | 0.0170588i | ||||
\(442\) | 316.060 | 0.715069 | ||||||||
\(443\) | − | 506.059i | − | 1.14235i | −0.820830 | − | 0.571173i | \(-0.806489\pi\) | ||
0.820830 | − | 0.571173i | \(-0.193511\pi\) | |||||||
\(444\) | 0.346050 | − | 97.7067i | 0.000779393 | − | 0.220060i | ||||
\(445\) | 4.76312 | 0.0107036 | ||||||||
\(446\) | 572.085i | 1.28270i | ||||||||
\(447\) | 217.056 | + | 0.768752i | 0.485584 | + | 0.00171980i | ||||
\(448\) | −103.385 | −0.230769 | ||||||||
\(449\) | − | 692.436i | − | 1.54217i | −0.636729 | − | 0.771087i | \(-0.719713\pi\) | ||
0.636729 | − | 0.771087i | \(-0.280287\pi\) | |||||||
\(450\) | 2.82844 | − | 399.298i | 0.00628543 | − | 0.887329i | ||||
\(451\) | −112.926 | −0.250390 | ||||||||
\(452\) | − | 298.270i | − | 0.659889i | ||||||
\(453\) | −0.708241 | + | 199.971i | −0.00156345 | + | 0.441436i | ||||
\(454\) | 370.067 | 0.815125 | ||||||||
\(455\) | 1849.23i | 4.06425i | ||||||||
\(456\) | −245.088 | − | 0.868035i | −0.537474 | − | 0.00190359i | ||||
\(457\) | 496.172 | 1.08572 | 0.542858 | − | 0.839824i | \(-0.317342\pi\) | ||||
0.542858 | + | 0.839824i | \(0.317342\pi\) | |||||||
\(458\) | − | 233.270i | − | 0.509322i | ||||||
\(459\) | −316.594 | − | 3.36398i | −0.689747 | − | 0.00732893i | ||||
\(460\) | 359.954 | 0.782510 | ||||||||
\(461\) | − | 158.881i | − | 0.344644i | −0.985041 | − | 0.172322i | \(-0.944873\pi\) | ||
0.985041 | − | 0.172322i | \(-0.0551269\pi\) | |||||||
\(462\) | 0.426555 | − | 120.437i | 0.000923280 | − | 0.260686i | ||||
\(463\) | −711.082 | −1.53581 | −0.767907 | − | 0.640562i | \(-0.778702\pi\) | ||||
−0.767907 | + | 0.640562i | \(0.778702\pi\) | |||||||
\(464\) | − | 76.7142i | − | 0.165332i | ||||||
\(465\) | 314.654 | + | 1.11442i | 0.676675 | + | 0.00239660i | ||||
\(466\) | −193.886 | −0.416065 | ||||||||
\(467\) | − | 262.223i | − | 0.561505i | −0.959780 | − | 0.280752i | \(-0.909416\pi\) | ||
0.959780 | − | 0.280752i | \(-0.0905839\pi\) | |||||||
\(468\) | −343.047 | − | 2.42999i | −0.733006 | − | 0.00519228i | ||||
\(469\) | 835.351 | 1.78113 | ||||||||
\(470\) | − | 300.995i | − | 0.640415i | ||||||
\(471\) | 1.28714 | − | 363.422i | 0.00273278 | − | 0.771596i | ||||
\(472\) | 21.7256 | 0.0460287 | ||||||||
\(473\) | 36.8732i | 0.0779561i | ||||||||
\(474\) | −173.864 | − | 0.615779i | −0.366802 | − | 0.00129911i | ||||
\(475\) | −906.169 | −1.90772 | ||||||||
\(476\) | 303.081i | 0.636726i | ||||||||
\(477\) | −3.85395 | + | 544.072i | −0.00807957 | + | 1.14061i | ||||
\(478\) | 306.123 | 0.640425 | ||||||||
\(479\) | 489.115i | 1.02112i | 0.859843 | + | 0.510559i | \(0.170561\pi\) | ||||
−0.859843 | + | 0.510559i | \(0.829439\pi\) | |||||||
\(480\) | 0.451276 | − | 127.417i | 0.000940159 | − | 0.265452i | ||||
\(481\) | −310.361 | −0.645242 | ||||||||
\(482\) | − | 105.266i | − | 0.218393i | ||||||
\(483\) | 929.326 | + | 3.29142i | 1.92407 | + | 0.00681453i | ||||
\(484\) | −232.349 | −0.480061 | ||||||||
\(485\) | 1134.24i | 2.33864i | ||||||||
\(486\) | 343.600 | + | 6.08530i | 0.706996 | + | 0.0125212i | ||||
\(487\) | −401.202 | −0.823822 | −0.411911 | − | 0.911224i | \(-0.635139\pi\) | ||||
−0.411911 | + | 0.911224i | \(0.635139\pi\) | |||||||
\(488\) | − | 263.714i | − | 0.540398i | ||||||
\(489\) | −0.768749 | + | 217.055i | −0.00157208 | + | 0.443875i | ||||
\(490\) | −1253.01 | −2.55716 | ||||||||
\(491\) | 136.281i | 0.277558i | 0.990323 | + | 0.138779i | \(0.0443178\pi\) | ||||
−0.990323 | + | 0.138779i | \(0.955682\pi\) | |||||||
\(492\) | −308.448 | − | 1.09244i | −0.626926 | − | 0.00222040i | ||||
\(493\) | −224.894 | −0.456175 | ||||||||
\(494\) | 778.512i | 1.57594i | ||||||||
\(495\) | 148.432 | + | 1.05142i | 0.299862 | + | 0.00212408i | ||||
\(496\) | 55.8780 | 0.112657 | ||||||||
\(497\) | 1368.64i | 2.75381i | ||||||||
\(498\) | −2.07827 | + | 586.796i | −0.00417324 | + | 1.17831i | ||||
\(499\) | −674.766 | −1.35224 | −0.676119 | − | 0.736793i | \(-0.736339\pi\) | ||||
−0.676119 | + | 0.736793i | \(0.736339\pi\) | |||||||
\(500\) | − | 95.6932i | − | 0.191386i | ||||||
\(501\) | 804.203 | + | 2.84827i | 1.60520 | + | 0.00568516i | ||||
\(502\) | 94.1557 | 0.187561 | ||||||||
\(503\) | − | 233.749i | − | 0.464710i | −0.972631 | − | 0.232355i | \(-0.925357\pi\) | ||
0.972631 | − | 0.232355i | \(-0.0746431\pi\) | |||||||
\(504\) | 2.33020 | − | 328.960i | 0.00462341 | − | 0.652698i | ||||
\(505\) | 571.872 | 1.13242 | ||||||||
\(506\) | 74.4662i | 0.147166i | ||||||||
\(507\) | −2.06373 | + | 582.691i | −0.00407048 | + | 1.14929i | ||||
\(508\) | −26.9498 | −0.0530507 | ||||||||
\(509\) | 152.006i | 0.298636i | 0.988789 | + | 0.149318i | \(0.0477078\pi\) | ||||
−0.988789 | + | 0.149318i | \(0.952292\pi\) | |||||||
\(510\) | −373.535 | − | 1.32296i | −0.732421 | − | 0.00259403i | ||||
\(511\) | 1218.26 | 2.38408 | ||||||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 8.28607 | − | 779.826i | 0.0161522 | − | 1.52013i | ||||
\(514\) | −198.355 | −0.385904 | ||||||||
\(515\) | − | 1057.77i | − | 2.05391i | ||||||
\(516\) | −0.356709 | + | 100.716i | −0.000691296 | + | 0.195186i | ||||
\(517\) | 62.2689 | 0.120443 | ||||||||
\(518\) | − | 297.616i | − | 0.574549i | ||||||
\(519\) | 452.469 | + | 1.60252i | 0.871808 | + | 0.00308771i | ||||
\(520\) | −404.735 | −0.778337 | ||||||||
\(521\) | − | 403.689i | − | 0.774835i | −0.921904 | − | 0.387417i | \(-0.873367\pi\) | ||
0.921904 | − | 0.387417i | \(-0.126633\pi\) | |||||||
\(522\) | 244.097 | + | 1.72907i | 0.467618 | + | 0.00331239i | ||||
\(523\) | 334.786 | 0.640126 | 0.320063 | − | 0.947396i | \(-0.396296\pi\) | ||||
0.320063 | + | 0.947396i | \(0.396296\pi\) | |||||||
\(524\) | − | 253.408i | − | 0.483602i | ||||||
\(525\) | 4.30775 | − | 1216.28i | 0.00820523 | − | 2.31673i | ||||
\(526\) | 64.3123 | 0.122267 | ||||||||
\(527\) | − | 163.811i | − | 0.310837i | ||||||
\(528\) | 26.3596 | + | 0.0933585i | 0.0499235 | + | 0.000176815i | ||||
\(529\) | −45.6017 | −0.0862037 | ||||||||
\(530\) | 641.909i | 1.21115i | ||||||||
\(531\) | −0.489675 | + | 69.1286i | −0.000922175 | + | 0.130186i | ||||
\(532\) | −746.543 | −1.40328 | ||||||||
\(533\) | 979.772i | 1.83822i | ||||||||
\(534\) | −0.00953248 | + | 2.69148i | −1.78511e−5 | + | 0.00504022i | ||||
\(535\) | 1083.12 | 2.02453 | ||||||||
\(536\) | 182.830i | 0.341101i | ||||||||
\(537\) | 174.917 | + | 0.619508i | 0.325730 | + | 0.00115365i | ||||
\(538\) | 252.158 | 0.468696 | ||||||||
\(539\) | − | 259.218i | − | 0.480924i | ||||||
\(540\) | 405.418 | + | 4.30778i | 0.750775 | + | 0.00797738i | ||||
\(541\) | −56.3974 | −0.104247 | −0.0521233 | − | 0.998641i | \(-0.516599\pi\) | ||||
−0.0521233 | + | 0.998641i | \(0.516599\pi\) | |||||||
\(542\) | − | 516.602i | − | 0.953141i | ||||||
\(543\) | 2.43296 | − | 686.943i | 0.00448059 | − | 1.26509i | ||||
\(544\) | −66.3343 | −0.121938 | ||||||||
\(545\) | 871.707i | 1.59946i | ||||||||
\(546\) | −1044.94 | − | 3.70089i | −1.91381 | − | 0.00677819i | ||||
\(547\) | −214.407 | −0.391969 | −0.195984 | − | 0.980607i | \(-0.562790\pi\) | ||||
−0.195984 | + | 0.980607i | \(0.562790\pi\) | |||||||
\(548\) | − | 233.880i | − | 0.426789i | ||||||
\(549\) | 839.112 | + | 5.94388i | 1.52844 | + | 0.0108267i | ||||
\(550\) | 97.4599 | 0.177200 | ||||||||
\(551\) | − | 553.955i | − | 1.00536i | ||||||
\(552\) | −0.720380 | + | 203.398i | −0.00130504 | + | 0.368475i | ||||
\(553\) | −529.593 | −0.957674 | ||||||||
\(554\) | − | 282.190i | − | 0.509368i | ||||||
\(555\) | 366.799 | + | 1.29910i | 0.660899 | + | 0.00234072i | ||||
\(556\) | −33.6110 | −0.0604515 | ||||||||
\(557\) | − | 703.324i | − | 1.26270i | −0.775498 | − | 0.631350i | \(-0.782501\pi\) | ||
0.775498 | − | 0.631350i | \(-0.217499\pi\) | |||||||
\(558\) | −1.25944 | + | 177.798i | −0.00225706 | + | 0.318635i | ||||
\(559\) | 319.921 | 0.572309 | ||||||||
\(560\) | − | 388.115i | − | 0.693062i | ||||||
\(561\) | 0.273689 | − | 77.2756i | 0.000487859 | − | 0.137746i | ||||
\(562\) | 513.675 | 0.914012 | ||||||||
\(563\) | − | 874.719i | − | 1.55367i | −0.629701 | − | 0.776837i | \(-0.716823\pi\) | ||
0.629701 | − | 0.776837i | \(-0.283177\pi\) | |||||||
\(564\) | 170.082 | + | 0.602385i | 0.301564 | + | 0.00106806i | ||||
\(565\) | 1119.73 | 1.98182 | ||||||||
\(566\) | − | 227.725i | − | 0.402340i | ||||||
\(567\) | 1046.66 | + | 14.8289i | 1.84597 | + | 0.0261533i | ||||
\(568\) | −299.550 | −0.527376 | ||||||||
\(569\) | − | 670.048i | − | 1.17759i | −0.808283 | − | 0.588794i | \(-0.799603\pi\) | ||
0.808283 | − | 0.588794i | \(-0.200397\pi\) | |||||||
\(570\) | 3.25868 | − | 920.081i | 0.00571698 | − | 1.61418i | ||||
\(571\) | 346.784 | 0.607328 | 0.303664 | − | 0.952779i | \(-0.401790\pi\) | ||||
0.303664 | + | 0.952779i | \(0.401790\pi\) | |||||||
\(572\) | − | 83.7303i | − | 0.146382i | ||||||
\(573\) | −314.919 | − | 1.11536i | −0.549596 | − | 0.00194652i | ||||
\(574\) | −939.538 | −1.63683 | ||||||||
\(575\) | 752.028i | 1.30787i | ||||||||
\(576\) | 71.9982 | + | 0.510002i | 0.124997 | + | 0.000885420i | ||||
\(577\) | −187.303 | −0.324616 | −0.162308 | − | 0.986740i | \(-0.551894\pi\) | ||||
−0.162308 | + | 0.986740i | \(0.551894\pi\) | |||||||
\(578\) | − | 214.243i | − | 0.370662i | ||||||
\(579\) | −2.97070 | + | 838.772i | −0.00513074 | + | 1.44866i | ||||
\(580\) | 287.991 | 0.496537 | ||||||||
\(581\) | 1787.39i | 3.07641i | ||||||||
\(582\) | −640.922 | − | 2.26997i | −1.10124 | − | 0.00390029i | ||||
\(583\) | −132.796 | −0.227780 | ||||||||
\(584\) | 266.637i | 0.456570i | ||||||||
\(585\) | 9.12237 | − | 1287.83i | 0.0155938 | − | 2.20141i | ||||
\(586\) | 392.844 | 0.670382 | ||||||||
\(587\) | − | 352.589i | − | 0.600662i | −0.953835 | − | 0.300331i | \(-0.902903\pi\) | ||
0.953835 | − | 0.300331i | \(-0.0970972\pi\) | |||||||
\(588\) | 2.50766 | − | 708.032i | 0.00426472 | − | 1.20414i | ||||
\(589\) | 403.496 | 0.685053 | ||||||||
\(590\) | 81.5596i | 0.138237i | ||||||||
\(591\) | −41.2855 | − | 0.146222i | −0.0698571 | − | 0.000247415i | ||||
\(592\) | 65.1382 | 0.110031 | ||||||||
\(593\) | − | 39.5486i | − | 0.0666924i | −0.999444 | − | 0.0333462i | \(-0.989384\pi\) | ||
0.999444 | − | 0.0333462i | \(-0.0106164\pi\) | |||||||
\(594\) | −0.891180 | + | 83.8716i | −0.00150030 | + | 0.141198i | ||||
\(595\) | −1137.79 | −1.91226 | ||||||||
\(596\) | 144.705i | 0.242793i | ||||||||
\(597\) | −2.11597 | + | 597.441i | −0.00354434 | + | 1.00074i | ||||
\(598\) | 646.086 | 1.08041 | ||||||||
\(599\) | − | 322.101i | − | 0.537732i | −0.963178 | − | 0.268866i | \(-0.913351\pi\) | ||
0.963178 | − | 0.268866i | \(-0.0866489\pi\) | |||||||
\(600\) | 266.204 | + | 0.942821i | 0.443673 | + | 0.00157137i | ||||
\(601\) | 441.088 | 0.733923 | 0.366962 | − | 0.930236i | \(-0.380398\pi\) | ||||
0.366962 | + | 0.930236i | \(0.380398\pi\) | |||||||
\(602\) | 306.783i | 0.509607i | ||||||||
\(603\) | −581.747 | − | 4.12083i | −0.964755 | − | 0.00683388i | ||||
\(604\) | −133.315 | −0.220720 | ||||||||
\(605\) | − | 872.260i | − | 1.44175i | ||||||
\(606\) | −1.14449 | + | 323.146i | −0.00188860 | + | 0.533244i | ||||
\(607\) | 606.955 | 0.999926 | 0.499963 | − | 0.866047i | \(-0.333347\pi\) | ||||
0.499963 | + | 0.866047i | \(0.333347\pi\) | |||||||
\(608\) | − | 163.393i | − | 0.268739i | ||||||
\(609\) | 743.533 | + | 2.63339i | 1.22091 | + | 0.00432412i | ||||
\(610\) | 990.005 | 1.62296 | ||||||||
\(611\) | − | 540.259i | − | 0.884222i | ||||||
\(612\) | 1.49512 | − | 211.069i | 0.00244300 | − | 0.344884i | ||||
\(613\) | −1095.08 | −1.78643 | −0.893217 | − | 0.449625i | \(-0.851558\pi\) | ||||
−0.893217 | + | 0.449625i | \(0.851558\pi\) | |||||||
\(614\) | 21.1211i | 0.0343992i | ||||||||
\(615\) | 4.10110 | − | 1157.94i | 0.00666846 | − | 1.88283i | ||||
\(616\) | 80.2919 | 0.130344 | ||||||||
\(617\) | 118.476i | 0.192020i | 0.995380 | + | 0.0960101i | \(0.0306081\pi\) | ||||
−0.995380 | + | 0.0960101i | \(0.969392\pi\) | |||||||
\(618\) | 597.708 | + | 2.11692i | 0.967165 | + | 0.00342543i | ||||
\(619\) | 762.475 | 1.23178 | 0.615892 | − | 0.787830i | \(-0.288796\pi\) | ||||
0.615892 | + | 0.787830i | \(0.288796\pi\) | |||||||
\(620\) | 209.771i | 0.338340i | ||||||||
\(621\) | −647.176 | − | 6.87659i | −1.04215 | − | 0.0110734i | ||||
\(622\) | 97.8331 | 0.157288 | ||||||||
\(623\) | 8.19830i | 0.0131594i | ||||||||
\(624\) | 0.810000 | − | 228.702i | 0.00129808 | − | 0.366510i | ||||
\(625\) | −425.075 | −0.680120 | ||||||||
\(626\) | 89.4308i | 0.142861i | ||||||||
\(627\) | 190.343 | + | 0.674144i | 0.303578 | + | 0.00107519i | ||||
\(628\) | 242.283 | 0.385801 | ||||||||
\(629\) | − | 190.958i | − | 0.303591i | ||||||
\(630\) | 1234.94 | + | 8.74777i | 1.96023 | + | 0.0138853i | ||||
\(631\) | 5.90167 | 0.00935288 | 0.00467644 | − | 0.999989i | \(-0.498511\pi\) | ||||
0.00467644 | + | 0.999989i | \(0.498511\pi\) | |||||||
\(632\) | − | 115.910i | − | 0.183402i | ||||||
\(633\) | 0.341266 | − | 96.3560i | 0.000539125 | − | 0.152221i | ||||
\(634\) | −263.188 | −0.415122 | ||||||||
\(635\) | − | 101.172i | − | 0.159326i | ||||||
\(636\) | −362.721 | − | 1.28466i | −0.570316 | − | 0.00201990i | ||||
\(637\) | −2249.04 | −3.53067 | ||||||||
\(638\) | 59.5787i | 0.0933836i | ||||||||
\(639\) | 6.75159 | − | 953.138i | 0.0105659 | − | 1.49161i | ||||
\(640\) | 84.9452 | 0.132727 | ||||||||
\(641\) | 787.284i | 1.22821i | 0.789223 | + | 0.614106i | \(0.210483\pi\) | ||||
−0.789223 | + | 0.614106i | \(0.789517\pi\) | |||||||
\(642\) | −2.16766 | + | 612.036i | −0.00337642 | + | 0.953327i | ||||
\(643\) | −243.449 | −0.378614 | −0.189307 | − | 0.981918i | \(-0.560624\pi\) | ||||
−0.189307 | + | 0.981918i | \(0.560624\pi\) | |||||||
\(644\) | 619.555i | 0.962041i | ||||||||
\(645\) | −378.097 | − | 1.33912i | −0.586197 | − | 0.00207615i | ||||
\(646\) | −479.002 | −0.741488 | ||||||||
\(647\) | 194.459i | 0.300555i | 0.988644 | + | 0.150277i | \(0.0480167\pi\) | ||||
−0.988644 | + | 0.150277i | \(0.951983\pi\) | |||||||
\(648\) | −3.24555 | + | 229.080i | −0.00500857 | + | 0.353518i | ||||
\(649\) | −16.8728 | −0.0259981 | ||||||||
\(650\) | − | 845.585i | − | 1.30090i | ||||||
\(651\) | −1.91814 | + | 541.583i | −0.00294645 | + | 0.831925i | ||||
\(652\) | −144.704 | −0.221939 | ||||||||
\(653\) | 140.394i | 0.214998i | 0.994205 | + | 0.107499i | \(0.0342843\pi\) | ||||
−0.994205 | + | 0.107499i | \(0.965716\pi\) | |||||||
\(654\) | −492.573 | − | 1.74456i | −0.753169 | − | 0.00266752i | ||||
\(655\) | 951.313 | 1.45239 | ||||||||
\(656\) | − | 205.633i | − | 0.313465i | ||||||
\(657\) | −848.412 | − | 6.00976i | −1.29134 | − | 0.00914728i | ||||
\(658\) | 518.074 | 0.787346 | ||||||||
\(659\) | 1031.45i | 1.56518i | 0.622539 | + | 0.782589i | \(0.286101\pi\) | ||||
−0.622539 | + | 0.782589i | \(0.713899\pi\) | |||||||
\(660\) | −0.350476 | + | 98.9562i | −0.000531024 | + | 0.149934i | ||||
\(661\) | −170.596 | −0.258087 | −0.129044 | − | 0.991639i | \(-0.541191\pi\) | ||||
−0.129044 | + | 0.991639i | \(0.541191\pi\) | |||||||
\(662\) | 399.894i | 0.604069i | ||||||||
\(663\) | −670.461 | − | 2.37459i | −1.01125 | − | 0.00358158i | ||||
\(664\) | −391.200 | −0.589157 | ||||||||
\(665\) | − | 2802.59i | − | 4.21442i | ||||||
\(666\) | −1.46816 | + | 207.263i | −0.00220444 | + | 0.311206i | ||||
\(667\) | −459.726 | −0.689244 | ||||||||
\(668\) | 536.139i | 0.802603i | ||||||||
\(669\) | 4.29813 | − | 1213.57i | 0.00642471 | − | 1.81400i | ||||
\(670\) | −686.360 | −1.02442 | ||||||||
\(671\) | 204.809i | 0.305229i | ||||||||
\(672\) | 219.311 | + | 0.776738i | 0.326355 | + | 0.00115586i | ||||
\(673\) | −1263.06 | −1.87676 | −0.938382 | − | 0.345601i | \(-0.887675\pi\) | ||||
−0.938382 | + | 0.345601i | \(0.887675\pi\) | |||||||
\(674\) | 135.978i | 0.201748i | ||||||||
\(675\) | −8.99996 | + | 847.013i | −0.0133333 | + | 1.25483i | ||||
\(676\) | −388.463 | −0.574650 | ||||||||
\(677\) | − | 721.845i | − | 1.06624i | −0.846040 | − | 0.533120i | \(-0.821019\pi\) | ||
0.846040 | − | 0.533120i | \(-0.178981\pi\) | |||||||
\(678\) | −2.24093 | + | 632.721i | −0.00330520 | + | 0.933218i | ||||
\(679\) | −1952.26 | −2.87520 | ||||||||
\(680\) | − | 249.025i | − | 0.366213i | ||||||
\(681\) | −785.026 | − | 2.78035i | −1.15275 | − | 0.00408274i | ||||
\(682\) | −43.3966 | −0.0636314 | ||||||||
\(683\) | − | 75.9237i | − | 0.111162i | −0.998454 | − | 0.0555811i | \(-0.982299\pi\) | ||
0.998454 | − | 0.0555811i | \(-0.0177011\pi\) | |||||||
\(684\) | 519.901 | + | 3.68274i | 0.760089 | + | 0.00538412i | ||||
\(685\) | 878.007 | 1.28176 | ||||||||
\(686\) | − | 1261.16i | − | 1.83842i | ||||||
\(687\) | −1.75257 | + | 494.836i | −0.00255106 | + | 0.720286i | ||||
\(688\) | −67.1445 | −0.0975937 | ||||||||
\(689\) | 1152.17i | 1.67223i | ||||||||
\(690\) | −763.574 | − | 2.70437i | −1.10663 | − | 0.00391938i | ||||
\(691\) | 527.280 | 0.763069 | 0.381534 | − | 0.924355i | \(-0.375396\pi\) | ||||
0.381534 | + | 0.924355i | \(0.375396\pi\) | |||||||
\(692\) | 301.648i | 0.435907i | ||||||||
\(693\) | −1.80971 | + | 255.481i | −0.00261141 | + | 0.368659i | ||||
\(694\) | −611.661 | −0.881356 | ||||||||
\(695\) | − | 126.179i | − | 0.181552i | ||||||
\(696\) | −0.576360 | + | 162.734i | −0.000828104 | + | 0.233814i | ||||
\(697\) | −602.832 | −0.864895 | ||||||||
\(698\) | − | 589.875i | − | 0.845094i | ||||||
\(699\) | 411.293 | + | 1.45669i | 0.588402 | + | 0.00208396i | ||||
\(700\) | 810.862 | 1.15837 | ||||||||
\(701\) | − | 577.533i | − | 0.823871i | −0.911213 | − | 0.411935i | \(-0.864853\pi\) | ||
0.911213 | − | 0.411935i | \(-0.135147\pi\) | |||||||
\(702\) | 727.689 | + | 7.73209i | 1.03659 | + | 0.0110144i | ||||
\(703\) | 470.364 | 0.669082 | ||||||||
\(704\) | 17.5732i | 0.0249619i | ||||||||
\(705\) | −2.26140 | + | 638.503i | −0.00320766 | + | 0.905678i | ||||
\(706\) | 420.497 | 0.595605 | ||||||||
\(707\) | 984.308i | 1.39223i | ||||||||
\(708\) | −46.0866 | − | 0.163226i | −0.0650940 | − | 0.000230545i | ||||
\(709\) | 948.220 | 1.33741 | 0.668703 | − | 0.743530i | \(-0.266850\pi\) | ||||
0.668703 | + | 0.743530i | \(0.266850\pi\) | |||||||
\(710\) | − | 1124.54i | − | 1.58385i | ||||||
\(711\) | 368.815 | + | 2.61251i | 0.518727 | + | 0.00367442i | ||||
\(712\) | −1.79433 | −0.00252013 | ||||||||
\(713\) | − | 334.861i | − | 0.469650i | ||||||
\(714\) | 2.27708 | − | 642.929i | 0.00318918 | − | 0.900461i | ||||
\(715\) | 314.330 | 0.439623 | ||||||||
\(716\) | 116.612i | 0.162866i | ||||||||
\(717\) | −649.381 | − | 2.29993i | −0.905692 | − | 0.00320771i | ||||
\(718\) | −180.872 | −0.251911 | ||||||||
\(719\) | − | 587.492i | − | 0.817097i | −0.912737 | − | 0.408548i | \(-0.866035\pi\) | ||
0.912737 | − | 0.408548i | \(-0.133965\pi\) | |||||||
\(720\) | −1.91459 | + | 270.287i | −0.00265915 | + | 0.375399i | ||||
\(721\) | 1820.63 | 2.52515 | ||||||||
\(722\) | − | 669.334i | − | 0.927056i | ||||||
\(723\) | −0.790869 | + | 223.301i | −0.00109387 | + | 0.308853i | ||||
\(724\) | 457.965 | 0.632548 | ||||||||
\(725\) | 601.681i | 0.829905i | ||||||||
\(726\) | 492.885 | + | 1.74566i | 0.678904 | + | 0.00240449i | ||||
\(727\) | 439.224 | 0.604159 | 0.302080 | − | 0.953283i | \(-0.402319\pi\) | ||||
0.302080 | + | 0.953283i | \(0.402319\pi\) | |||||||
\(728\) | − | 696.631i | − | 0.956911i | ||||||
\(729\) | −728.835 | − | 15.4903i | −0.999774 | − | 0.0212487i | ||||
\(730\) | −1000.98 | −1.37120 | ||||||||
\(731\) | 196.840i | 0.269275i | ||||||||
\(732\) | −1.98131 | + | 559.418i | −0.00270670 | + | 0.764233i | ||||
\(733\) | −640.682 | −0.874055 | −0.437027 | − | 0.899448i | \(-0.643969\pi\) | ||||
−0.437027 | + | 0.899448i | \(0.643969\pi\) | |||||||
\(734\) | − | 514.357i | − | 0.700760i | ||||||
\(735\) | 2658.01 | + | 9.41395i | 3.61634 | + | 0.0128081i | ||||
\(736\) | −135.600 | −0.184239 | ||||||||
\(737\) | − | 141.992i | − | 0.192662i | ||||||
\(738\) | 654.304 | + | 4.63479i | 0.886591 | + | 0.00628020i | ||||
\(739\) | −564.856 | −0.764352 | −0.382176 | − | 0.924090i | \(-0.624825\pi\) | ||||
−0.382176 | + | 0.924090i | \(0.624825\pi\) | |||||||
\(740\) | 244.534i | 0.330452i | ||||||||
\(741\) | 5.84903 | − | 1651.46i | 0.00789343 | − | 2.22870i | ||||
\(742\) | −1104.86 | −1.48902 | ||||||||
\(743\) | 551.619i | 0.742421i | 0.928549 | + | 0.371210i | \(0.121057\pi\) | ||||
−0.928549 | + | 0.371210i | \(0.878943\pi\) | |||||||
\(744\) | −118.534 | − | 0.419816i | −0.159320 | − | 0.000564269i | ||||
\(745\) | −543.234 | −0.729173 | ||||||||
\(746\) | 566.465i | 0.759336i | ||||||||
\(747\) | 8.81731 | − | 1244.76i | 0.0118036 | − | 1.66635i | ||||
\(748\) | 51.5174 | 0.0688735 | ||||||||
\(749\) | 1864.27i | 2.48902i | ||||||||
\(750\) | −0.718951 | + | 202.995i | −0.000958602 | + | 0.270659i | ||||
\(751\) | 732.037 | 0.974750 | 0.487375 | − | 0.873193i | \(-0.337954\pi\) | ||||
0.487375 | + | 0.873193i | \(0.337954\pi\) | |||||||
\(752\) | 113.389i | 0.150783i | ||||||||
\(753\) | −199.733 | − | 0.707400i | −0.265250 | − | 0.000939442i | ||||
\(754\) | 516.919 | 0.685569 | ||||||||
\(755\) | − | 500.474i | − | 0.662880i | ||||||
\(756\) | −7.41457 | + | 697.807i | −0.00980764 | + | 0.923025i | ||||
\(757\) | −1207.08 | −1.59456 | −0.797278 | − | 0.603612i | \(-0.793727\pi\) | ||||
−0.797278 | + | 0.603612i | \(0.793727\pi\) | |||||||
\(758\) | 949.370i | 1.25247i | ||||||||
\(759\) | 0.559471 | − | 157.966i | 0.000737116 | − | 0.208123i | ||||
\(760\) | 613.392 | 0.807094 | ||||||||
\(761\) | − | 725.256i | − | 0.953031i | −0.879166 | − | 0.476515i | \(-0.841900\pi\) | ||
0.879166 | − | 0.476515i | \(-0.158100\pi\) | |||||||
\(762\) | 57.1687 | + | 0.202476i | 0.0750246 | + | 0.000265717i | ||||
\(763\) | −1500.39 | −1.96643 | ||||||||
\(764\) | − | 209.947i | − | 0.274800i | ||||||
\(765\) | 792.372 | + | 5.61280i | 1.03578 | + | 0.00733699i | ||||
\(766\) | −394.811 | −0.515419 | ||||||||
\(767\) | 146.392i | 0.190863i | ||||||||
\(768\) | −0.170002 | + | 47.9997i | −0.000221356 | + | 0.0624996i | ||||
\(769\) | −1078.17 | −1.40205 | −0.701024 | − | 0.713138i | \(-0.747273\pi\) | ||||
−0.701024 | + | 0.713138i | \(0.747273\pi\) | |||||||
\(770\) | 301.423i | 0.391458i | ||||||||
\(771\) | 420.771 | + | 1.49026i | 0.545748 | + | 0.00193289i | ||||
\(772\) | −559.185 | −0.724332 | ||||||||
\(773\) | 777.291i | 1.00555i | 0.864417 | + | 0.502776i | \(0.167688\pi\) | ||||
−0.864417 | + | 0.502776i | \(0.832312\pi\) | |||||||
\(774\) | 1.51338 | − | 213.647i | 0.00195527 | − | 0.276030i | ||||
\(775\) | −438.259 | −0.565496 | ||||||||
\(776\) | − | 427.284i | − | 0.550624i | ||||||
\(777\) | −2.23602 | + | 631.336i | −0.00287776 | + | 0.812530i | ||||
\(778\) | −267.099 | −0.343315 | ||||||||
\(779\) | − | 1484.88i | − | 1.90614i | ||||||
\(780\) | 858.567 | + | 3.04081i | 1.10073 | + | 0.00389847i | ||||
\(781\) | 232.640 | 0.297875 | ||||||||
\(782\) | 397.522i | 0.508341i | ||||||||
\(783\) | −517.791 | − | 5.50181i | −0.661292 | − | 0.00702658i | ||||
\(784\) | 472.024 | 0.602072 | ||||||||
\(785\) | 909.550i | 1.15866i | ||||||||
\(786\) | −1.90387 | + | 537.555i | −0.00242223 | + | 0.683912i | ||||
\(787\) | 563.232 | 0.715669 | 0.357835 | − | 0.933785i | \(-0.383515\pi\) | ||||
0.357835 | + | 0.933785i | \(0.383515\pi\) | |||||||
\(788\) | − | 27.5239i | − | 0.0349288i | ||||||
\(789\) | −136.426 | − | 0.483184i | −0.172910 | − | 0.000612400i | ||||
\(790\) | 435.136 | 0.550806 | ||||||||
\(791\) | 1927.28i | 2.43651i | ||||||||
\(792\) | −55.9161 | − | 0.396084i | −0.0706012 | − | 0.000500106i | ||||
\(793\) | 1776.97 | 2.24082 | ||||||||
\(794\) | − | 674.710i | − | 0.849761i | ||||||
\(795\) | 4.82272 | − | 1361.69i | 0.00606631 | − | 1.71281i | ||||
\(796\) | −398.296 | −0.500372 | ||||||||
\(797\) | − | 126.154i | − | 0.158286i | −0.996863 | − | 0.0791431i | \(-0.974782\pi\) | ||
0.996863 | − | 0.0791431i | \(-0.0252184\pi\) | |||||||
\(798\) | 1583.65 | + | 5.60884i | 1.98452 | + | 0.00702863i | ||||
\(799\) | 332.410 | 0.416032 | ||||||||
\(800\) | 177.470i | 0.221838i | ||||||||
\(801\) | 0.0404426 | − | 5.70938i | 5.04902e−5 | − | 0.00712782i | ||||
\(802\) | 995.796 | 1.24164 | ||||||||
\(803\) | − | 207.079i | − | 0.257882i | ||||||
\(804\) | 1.37362 | − | 387.839i | 0.00170848 | − | 0.482387i | ||||
\(805\) | −2325.86 | −2.88927 | ||||||||
\(806\) | 376.519i | 0.467146i | ||||||||
\(807\) | −534.906 | − | 1.89449i | −0.662832 | − | 0.00234757i | ||||
\(808\) | −215.432 | −0.266623 | ||||||||
\(809\) | 673.002i | 0.831894i | 0.909389 | + | 0.415947i | \(0.136550\pi\) | ||||
−0.909389 | + | 0.415947i | \(0.863450\pi\) | |||||||
\(810\) | −859.984 | − | 12.1841i | −1.06171 | − | 0.0150421i | ||||
\(811\) | −299.040 | −0.368730 | −0.184365 | − | 0.982858i | \(-0.559023\pi\) | ||||
−0.184365 | + | 0.982858i | \(0.559023\pi\) | |||||||
\(812\) | 495.692i | 0.610458i | ||||||||
\(813\) | −3.88128 | + | 1095.87i | −0.00477402 | + | 1.34794i | ||||
\(814\) | −50.5884 | −0.0621480 | ||||||||
\(815\) | − | 543.232i | − | 0.666542i | ||||||
\(816\) | 140.715 | + | 0.498375i | 0.172445 | + | 0.000610754i | ||||
\(817\) | −484.852 | −0.593454 | ||||||||
\(818\) | − | 996.074i | − | 1.21769i | ||||||
\(819\) | 2216.61 | + | 15.7015i | 2.70649 | + | 0.0191715i | ||||
\(820\) | 771.964 | 0.941420 | ||||||||
\(821\) | 1344.49i | 1.63763i | 0.574058 | + | 0.818815i | \(0.305368\pi\) | ||||
−0.574058 | + | 0.818815i | \(0.694632\pi\) | |||||||
\(822\) | −1.75716 | + | 496.132i | −0.00213767 | + | 0.603567i | ||||
\(823\) | 1010.36 | 1.22766 | 0.613830 | − | 0.789438i | \(-0.289628\pi\) | ||||
0.613830 | + | 0.789438i | \(0.289628\pi\) | |||||||
\(824\) | 398.474i | 0.483585i | ||||||||
\(825\) | −206.742 | − | 0.732225i | −0.250597 | − | 0.000887546i | ||||
\(826\) | −140.381 | −0.169952 | ||||||||
\(827\) | 1373.59i | 1.66093i | 0.557071 | + | 0.830465i | \(0.311925\pi\) | ||||
−0.557071 | + | 0.830465i | \(0.688075\pi\) | |||||||
\(828\) | 3.05630 | − | 431.465i | 0.00369118 | − | 0.521092i | ||||
\(829\) | −910.735 | −1.09859 | −0.549297 | − | 0.835627i | \(-0.685104\pi\) | ||||
−0.549297 | + | 0.835627i | \(0.685104\pi\) | |||||||
\(830\) | − | 1468.60i | − | 1.76940i | ||||||
\(831\) | −2.12012 | + | 598.611i | −0.00255128 | + | 0.720350i | ||||
\(832\) | 152.469 | 0.183256 | ||||||||
\(833\) | − | 1383.78i | − | 1.66120i | ||||||
\(834\) | 71.2993 | + | 0.252523i | 0.0854908 | + | 0.000302785i | ||||
\(835\) | −2012.71 | −2.41043 | ||||||||
\(836\) | 126.896i | 0.151790i | ||||||||
\(837\) | 4.00747 | − | 377.155i | 0.00478790 | − | 0.450603i | ||||
\(838\) | −84.6220 | −0.100981 | ||||||||
\(839\) | − | 432.645i | − | 0.515667i | −0.966189 | − | 0.257834i | \(-0.916991\pi\) | ||
0.966189 | − | 0.257834i | \(-0.0830087\pi\) | |||||||
\(840\) | −2.91594 | + | 823.311i | −0.00347136 | + | 0.980132i | ||||
\(841\) | 473.184 | 0.562644 | ||||||||
\(842\) | 513.995i | 0.610445i | ||||||||
\(843\) | −1089.66 | − | 3.85928i | −1.29260 | − | 0.00457804i | ||||
\(844\) | 64.2377 | 0.0761110 | ||||||||
\(845\) | − | 1458.32i | − | 1.72583i | ||||||
\(846\) | −360.792 | − | 2.55569i | −0.426468 | − | 0.00302091i | ||||
\(847\) | 1501.34 | 1.77253 | ||||||||
\(848\) | − | 241.816i | − | 0.285160i | ||||||
\(849\) | −1.71092 | + | 483.074i | −0.00201521 | + | 0.568992i | ||||
\(850\) | 520.270 | 0.612082 | ||||||||
\(851\) | − | 390.355i | − | 0.458701i | ||||||
\(852\) | 635.437 | + | 2.25054i | 0.745818 | + | 0.00264148i | ||||
\(853\) | 1097.56 | 1.28671 | 0.643354 | − | 0.765569i | \(-0.277542\pi\) | ||||
0.643354 | + | 0.765569i | \(0.277542\pi\) | |||||||
\(854\) | 1704.00i | 1.99532i | ||||||||
\(855\) | −13.8253 | + | 1951.75i | −0.0161699 | + | 2.28275i | ||||
\(856\) | −408.026 | −0.476666 | ||||||||
\(857\) | − | 1560.92i | − | 1.82137i | −0.413097 | − | 0.910687i | \(-0.635553\pi\) | ||
0.413097 | − | 0.910687i | \(-0.364447\pi\) | |||||||
\(858\) | −0.629073 | + | 177.618i | −0.000733185 | + | 0.207013i | ||||
\(859\) | 477.978 | 0.556435 | 0.278218 | − | 0.960518i | \(-0.410256\pi\) | ||||
0.278218 | + | 0.960518i | \(0.410256\pi\) | |||||||
\(860\) | − | 252.066i | − | 0.293100i | ||||||
\(861\) | 1993.05 | + | 7.05883i | 2.31481 | + | 0.00819841i | ||||
\(862\) | 800.683 | 0.928867 | ||||||||
\(863\) | − | 338.587i | − | 0.392337i | −0.980570 | − | 0.196168i | \(-0.937150\pi\) | ||
0.980570 | − | 0.196168i | \(-0.0628499\pi\) | |||||||
\(864\) | −152.726 | − | 1.62280i | −0.176767 | − | 0.00187824i | ||||
\(865\) | −1132.41 | −1.30915 | ||||||||
\(866\) | − | 374.183i | − | 0.432083i | ||||||
\(867\) | −1.60962 | + | 454.475i | −0.00185655 | + | 0.524192i | ||||
\(868\) | −361.058 | −0.415965 | ||||||||
\(869\) | 90.0196i | 0.103590i | ||||||||
\(870\) | −610.918 | − | 2.16371i | −0.702205 | − | 0.00248702i | ||||
\(871\) | −1231.95 | −1.41441 | ||||||||
\(872\) | − | 328.384i | − | 0.376587i | ||||||
\(873\) | 1359.57 | + | 9.63060i | 1.55736 | + | 0.0110316i | ||||
\(874\) | −979.168 | −1.12033 | ||||||||
\(875\) | 618.326i | 0.706658i | ||||||||
\(876\) | 2.00327 | − | 565.619i | 0.00228683 | − | 0.645683i | ||||
\(877\) | 750.832 | 0.856137 | 0.428069 | − | 0.903746i | \(-0.359194\pi\) | ||||
0.428069 | + | 0.903746i | \(0.359194\pi\) | |||||||
\(878\) | 1009.72i | 1.15002i | ||||||||
\(879\) | −833.342 | − | 2.95147i | −0.948057 | − | 0.00335776i | ||||
\(880\) | −65.9712 | −0.0749673 | ||||||||
\(881\) | 883.079i | 1.00236i | 0.865343 | + | 0.501180i | \(0.167100\pi\) | ||||
−0.865343 | + | 0.501180i | \(0.832900\pi\) | |||||||
\(882\) | −10.6390 | + | 1501.93i | −0.0120624 | + | 1.70287i | ||||
\(883\) | 666.129 | 0.754392 | 0.377196 | − | 0.926133i | \(-0.376888\pi\) | ||||
0.377196 | + | 0.926133i | \(0.376888\pi\) | |||||||
\(884\) | − | 446.977i | − | 0.505630i | ||||||
\(885\) | 0.612764 | − | 173.013i | 0.000692389 | − | 0.195495i | ||||
\(886\) | −715.675 | −0.807760 | ||||||||
\(887\) | − | 496.494i | − | 0.559746i | −0.960037 | − | 0.279873i | \(-0.909708\pi\) | ||
0.960037 | − | 0.279873i | \(-0.0902923\pi\) | |||||||
\(888\) | −138.178 | − | 0.489389i | −0.155606 | − | 0.000551114i | ||||
\(889\) | 174.137 | 0.195880 | ||||||||
\(890\) | − | 6.73607i | − | 0.00756862i | ||||||
\(891\) | 2.52060 | − | 177.911i | 0.00282896 | − | 0.199675i | ||||
\(892\) | 809.051 | 0.907008 | ||||||||
\(893\) | 818.784i | 0.916891i | ||||||||
\(894\) | 1.08718 | − | 306.963i | 0.00121608 | − | 0.343359i | ||||
\(895\) | −437.771 | −0.489130 | ||||||||
\(896\) | 146.208i | 0.163179i | ||||||||
\(897\) | −1370.55 | − | 4.85410i | −1.52792 | − | 0.00541148i | ||||
\(898\) | −979.253 | −1.09048 | ||||||||
\(899\) | − | 267.914i | − | 0.298014i | ||||||
\(900\) | −564.693 | − | 4.00002i | −0.627436 | − | 0.00444447i | ||||
\(901\) | −708.904 | −0.786797 | ||||||||
\(902\) | 159.701i | 0.177053i | ||||||||
\(903\) | 2.30489 | − | 650.781i | 0.00255248 | − | 0.720688i | ||||
\(904\) | −421.817 | −0.466612 | ||||||||
\(905\) | 1719.24i | 1.89971i | ||||||||
\(906\) | 282.801 | + | 1.00160i | 0.312143 | + | 0.00110552i | ||||
\(907\) | −320.344 | −0.353191 | −0.176595 | − | 0.984284i | \(-0.556508\pi\) | ||||
−0.176595 | + | 0.984284i | \(0.556508\pi\) | |||||||
\(908\) | − | 523.354i | − | 0.576381i | ||||||
\(909\) | 4.85564 | − | 685.482i | 0.00534174 | − | 0.754106i | ||||
\(910\) | 2615.21 | 2.87386 | ||||||||
\(911\) | 1661.63i | 1.82396i | 0.410237 | + | 0.911979i | \(0.365446\pi\) | ||||
−0.410237 | + | 0.911979i | \(0.634554\pi\) | |||||||
\(912\) | −1.22759 | + | 346.607i | −0.00134604 | + | 0.380051i | ||||
\(913\) | 303.819 | 0.332770 | ||||||||
\(914\) | − | 701.694i | − | 0.767717i | ||||||
\(915\) | −2100.10 | − | 7.43799i | −2.29520 | − | 0.00812895i | ||||
\(916\) | −329.893 | −0.360145 | ||||||||
\(917\) | 1637.40i | 1.78561i | ||||||||
\(918\) | −4.75738 | + | 447.731i | −0.00518233 | + | 0.487725i | ||||
\(919\) | −626.910 | −0.682165 | −0.341083 | − | 0.940033i | \(-0.610794\pi\) | ||||
−0.341083 | + | 0.940033i | \(0.610794\pi\) | |||||||
\(920\) | − | 509.052i | − | 0.553318i | ||||||
\(921\) | 0.158685 | − | 44.8044i | 0.000172296 | − | 0.0486476i | ||||
\(922\) | −224.691 | −0.243700 | ||||||||
\(923\) | − | 2018.44i | − | 2.18683i | ||||||
\(924\) | −170.324 | − | 0.603240i | −0.184333 | − | 0.000652857i | ||||
\(925\) | −510.889 | −0.552312 | ||||||||
\(926\) | 1005.62i | 1.08598i | ||||||||
\(927\) | −1267.91 | − | 8.98126i | −1.36775 | − | 0.00968853i | ||||
\(928\) | −108.490 | −0.116908 | ||||||||
\(929\) | − | 287.291i | − | 0.309247i | −0.987973 | − | 0.154624i | \(-0.950583\pi\) | ||
0.987973 | − | 0.154624i | \(-0.0494165\pi\) | |||||||
\(930\) | 1.57602 | − | 444.988i | 0.00169465 | − | 0.478482i | ||||
\(931\) | 3408.50 | 3.66112 | ||||||||
\(932\) | 274.197i | 0.294203i | ||||||||
\(933\) | −207.534 | − | 0.735029i | −0.222437 | − | 0.000787812i | ||||
\(934\) | −370.839 | −0.397044 | ||||||||
\(935\) | 193.401i | 0.206846i | ||||||||
\(936\) | −3.43652 | + | 485.141i | −0.00367150 | + | 0.518314i | ||||
\(937\) | −527.510 | −0.562978 | −0.281489 | − | 0.959565i | \(-0.590828\pi\) | ||||
−0.281489 | + | 0.959565i | \(0.590828\pi\) | |||||||
\(938\) | − | 1181.36i | − | 1.25945i | ||||||
\(939\) | 0.671901 | − | 189.710i | 0.000715550 | − | 0.202034i | ||||
\(940\) | −425.672 | −0.452842 | ||||||||
\(941\) | − | 529.853i | − | 0.563074i | −0.959550 | − | 0.281537i | \(-0.909156\pi\) | ||
0.959550 | − | 0.281537i | \(-0.0908443\pi\) | |||||||
\(942\) | −513.956 | − | 1.82029i | −0.545601 | − | 0.00193237i | ||||
\(943\) | −1232.30 | −1.30679 | ||||||||
\(944\) | − | 30.7246i | − | 0.0325472i | ||||||
\(945\) | −2619.63 | − | 27.8349i | −2.77209 | − | 0.0294550i | ||||
\(946\) | 52.1466 | 0.0551233 | ||||||||
\(947\) | − | 1331.27i | − | 1.40577i | −0.711303 | − | 0.702886i | \(-0.751894\pi\) | ||
0.711303 | − | 0.702886i | \(-0.248106\pi\) | |||||||
\(948\) | −0.870843 | + | 245.881i | −0.000918611 | + | 0.259368i | ||||
\(949\) | −1796.66 | −1.89322 | ||||||||
\(950\) | 1281.52i | 1.34896i | ||||||||
\(951\) | 558.302 | + | 1.97735i | 0.587068 | + | 0.00207923i | ||||
\(952\) | 428.622 | 0.450233 | ||||||||
\(953\) | 364.136i | 0.382094i | 0.981581 | + | 0.191047i | \(0.0611883\pi\) | ||||
−0.981581 | + | 0.191047i | \(0.938812\pi\) | |||||||
\(954\) | 769.433 | + | 5.45031i | 0.806534 | + | 0.00571312i | ||||
\(955\) | 788.159 | 0.825297 | ||||||||
\(956\) | − | 432.924i | − | 0.452849i | ||||||
\(957\) | 0.447620 | − | 126.385i | 0.000467733 | − | 0.132063i | ||||
\(958\) | 691.714 | 0.722039 | ||||||||
\(959\) | 1511.23i | 1.57584i | ||||||||
\(960\) | −180.195 | − | 0.638201i | −0.187703 | − | 0.000664793i | ||||
\(961\) | −765.853 | −0.796934 | ||||||||
\(962\) | 438.917i | 0.456255i | ||||||||
\(963\) | 9.19656 | − | 1298.30i | 0.00954990 | − | 1.34818i | ||||
\(964\) | −148.868 | −0.154427 | ||||||||
\(965\) | − | 2099.23i | − | 2.17536i | ||||||
\(966\) | 4.65477 | − | 1314.27i | 0.00481860 | − | 1.36052i | ||||
\(967\) | 812.882 | 0.840623 | 0.420311 | − | 0.907380i | \(-0.361921\pi\) | ||||
0.420311 | + | 0.907380i | \(0.361921\pi\) | |||||||
\(968\) | 328.592i | 0.339454i | ||||||||
\(969\) | 1016.11 | + | 3.59878i | 1.04862 | + | 0.00371391i | ||||
\(970\) | 1604.06 | 1.65367 | ||||||||
\(971\) | 1126.28i | 1.15991i | 0.814647 | + | 0.579957i | \(0.196931\pi\) | ||||
−0.814647 | + | 0.579957i | \(0.803069\pi\) | |||||||
\(972\) | 8.60591 | − | 485.924i | 0.00885381 | − | 0.499922i | ||||
\(973\) | 217.179 | 0.223206 | ||||||||
\(974\) | 567.385i | 0.582530i | ||||||||
\(975\) | −6.35296 | + | 1793.75i | −0.00651585 | + | 1.83974i | ||||
\(976\) | −372.948 | −0.382119 | ||||||||
\(977\) | 1672.42i | 1.71179i | 0.517147 | + | 0.855897i | \(0.326994\pi\) | ||||
−0.517147 | + | 0.855897i | \(0.673006\pi\) | |||||||
\(978\) | 306.962 | + | 1.08718i | 0.313867 | + | 0.00111163i | ||||
\(979\) | 1.39354 | 0.00142343 | ||||||||
\(980\) | 1772.02i | 1.80818i | ||||||||
\(981\) | 1044.88 | + | 7.40148i | 1.06512 | + | 0.00754483i | ||||
\(982\) | 192.731 | 0.196263 | ||||||||
\(983\) | 679.772i | 0.691528i | 0.938321 | + | 0.345764i | \(0.112380\pi\) | ||||
−0.938321 | + | 0.345764i | \(0.887620\pi\) | |||||||
\(984\) | −1.54494 | + | 436.211i | −0.00157006 | + | 0.443304i | ||||
\(985\) | 103.327 | 0.104900 | ||||||||
\(986\) | 318.049i | 0.322565i | ||||||||
\(987\) | −1098.99 | − | 3.89234i | −1.11347 | − | 0.00394360i | ||||
\(988\) | 1100.98 | 1.11436 | ||||||||
\(989\) | 402.378i | 0.406853i | ||||||||
\(990\) | 1.48693 | − | 209.914i | 0.00150195 | − | 0.212034i | ||||
\(991\) | −988.923 | −0.997904 | −0.498952 | − | 0.866630i | \(-0.666282\pi\) | ||||
−0.498952 | + | 0.866630i | \(0.666282\pi\) | |||||||
\(992\) | − | 79.0234i | − | 0.0796607i | ||||||
\(993\) | 3.00444 | − | 848.297i | 0.00302562 | − | 0.854277i | ||||
\(994\) | 1935.55 | 1.94724 | ||||||||
\(995\) | − | 1495.24i | − | 1.50275i | ||||||
\(996\) | 829.855 | + | 2.93912i | 0.833188 | + | 0.00295092i | ||||
\(997\) | 437.052 | 0.438367 | 0.219183 | − | 0.975684i | \(-0.429661\pi\) | ||||
0.219183 | + | 0.975684i | \(0.429661\pi\) | |||||||
\(998\) | 954.264i | 0.956176i | ||||||||
\(999\) | 4.67160 | − | 439.658i | 0.00467628 | − | 0.440098i |
(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 | 354.3.b.a.119.11 | ✓ | 40 | |
3.2 | odd | 2 | inner | 354.3.b.a.119.31 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.3.b.a.119.11 | ✓ | 40 | 1.1 | even | 1 | trivial | |
354.3.b.a.119.31 | yes | 40 | 3.2 | odd | 2 | inner |