Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(16,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bl (of order \(15\), degree \(8\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 126.1 | ||
Character | \(\chi\) | \(=\) | 403.126 |
Dual form | 403.2.bl.b.16.1 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.44344 | + | 1.08789i | −1.72777 | + | 0.769253i | −0.731609 | + | 0.681724i | \(0.761230\pi\) |
−0.996162 | + | 0.0875291i | \(0.972103\pi\) | |||||||
\(3\) | −0.216774 | − | 2.06246i | −0.125154 | − | 1.19076i | −0.859192 | − | 0.511654i | \(-0.829033\pi\) |
0.734037 | − | 0.679109i | \(-0.237634\pi\) | |||||||
\(4\) | 3.44862 | − | 3.83009i | 1.72431 | − | 1.91504i | ||||
\(5\) | −2.87099 | −1.28395 | −0.641974 | − | 0.766727i | \(-0.721884\pi\) | ||||
−0.641974 | + | 0.766727i | \(0.721884\pi\) | |||||||
\(6\) | 2.77340 | + | 4.80367i | 1.13224 | + | 1.96109i | ||||
\(7\) | 2.21936 | − | 2.46485i | 0.838839 | − | 0.931625i | −0.159616 | − | 0.987179i | \(-0.551026\pi\) |
0.998456 | + | 0.0555537i | \(0.0176924\pi\) | |||||||
\(8\) | −2.60675 | + | 8.02276i | −0.921626 | + | 2.83647i | ||||
\(9\) | −1.27232 | + | 0.270439i | −0.424105 | + | 0.0901464i | ||||
\(10\) | 7.01509 | − | 3.12332i | 2.21837 | − | 0.987681i | ||||
\(11\) | 3.29131 | + | 0.699590i | 0.992369 | + | 0.210934i | 0.675360 | − | 0.737488i | \(-0.263988\pi\) |
0.317009 | + | 0.948423i | \(0.397322\pi\) | |||||||
\(12\) | −8.64698 | − | 6.28240i | −2.49617 | − | 1.81357i | ||||
\(13\) | 3.57419 | − | 0.474524i | 0.991302 | − | 0.131609i | ||||
\(14\) | −2.74139 | + | 8.43712i | −0.732666 | + | 2.25492i | ||||
\(15\) | 0.622355 | + | 5.92132i | 0.160691 | + | 1.52888i | ||||
\(16\) | −1.28097 | − | 12.1877i | −0.320244 | − | 3.04691i | ||||
\(17\) | 5.58366 | − | 1.18684i | 1.35424 | − | 0.287852i | 0.527076 | − | 0.849818i | \(-0.323288\pi\) |
0.827160 | + | 0.561967i | \(0.189955\pi\) | |||||||
\(18\) | 2.81462 | − | 2.04494i | 0.663412 | − | 0.481997i | ||||
\(19\) | −0.0720284 | + | 0.685305i | −0.0165245 | + | 0.157220i | −0.999672 | − | 0.0255916i | \(-0.991853\pi\) |
0.983148 | + | 0.182811i | \(0.0585197\pi\) | |||||||
\(20\) | −9.90098 | + | 10.9962i | −2.21393 | + | 2.45881i | ||||
\(21\) | −5.56476 | − | 4.04303i | −1.21433 | − | 0.882262i | ||||
\(22\) | −8.80320 | + | 1.87118i | −1.87685 | + | 0.398936i | ||||
\(23\) | −5.71945 | − | 6.35209i | −1.19259 | − | 1.32450i | −0.933469 | − | 0.358657i | \(-0.883235\pi\) |
−0.259118 | − | 0.965846i | \(-0.583432\pi\) | |||||||
\(24\) | 17.1117 | + | 3.63721i | 3.49291 | + | 0.742442i | ||||
\(25\) | 3.24261 | 0.648521 | ||||||||
\(26\) | −8.21708 | + | 5.04779i | −1.61150 | + | 0.989953i | ||||
\(27\) | −1.08896 | − | 3.35149i | −0.209571 | − | 0.644994i | ||||
\(28\) | −1.78684 | − | 17.0007i | −0.337682 | − | 3.21283i | ||||
\(29\) | −0.973563 | + | 0.433458i | −0.180786 | + | 0.0804912i | −0.495134 | − | 0.868817i | \(-0.664881\pi\) |
0.314348 | + | 0.949308i | \(0.398214\pi\) | |||||||
\(30\) | −7.96242 | − | 13.7913i | −1.45373 | − | 2.51794i | ||||
\(31\) | −5.49165 | + | 0.917494i | −0.986329 | + | 0.164787i | ||||
\(32\) | 7.95316 | + | 13.7753i | 1.40593 | + | 2.43515i | ||||
\(33\) | 0.729409 | − | 6.93986i | 0.126974 | − | 1.20808i | ||||
\(34\) | −12.3522 | + | 8.97437i | −2.11838 | + | 1.53909i | ||||
\(35\) | −6.37177 | + | 7.07657i | −1.07703 | + | 1.19616i | ||||
\(36\) | −3.35194 | + | 5.80572i | −0.558656 | + | 0.967621i | ||||
\(37\) | −3.42469 | + | 5.93174i | −0.563016 | + | 0.975172i | 0.434215 | + | 0.900809i | \(0.357026\pi\) |
−0.997231 | + | 0.0743631i | \(0.976308\pi\) | |||||||
\(38\) | −0.569538 | − | 1.75286i | −0.0923913 | − | 0.284351i | ||||
\(39\) | −1.75348 | − | 7.26877i | −0.280781 | − | 1.16393i | ||||
\(40\) | 7.48397 | − | 23.0333i | 1.18332 | − | 3.64188i | ||||
\(41\) | 6.37189 | − | 2.83695i | 0.995121 | − | 0.443057i | 0.156445 | − | 0.987687i | \(-0.449997\pi\) |
0.838676 | + | 0.544630i | \(0.183330\pi\) | |||||||
\(42\) | 17.9955 | + | 3.82506i | 2.77677 | + | 0.590220i | ||||
\(43\) | 0.641770 | − | 6.10603i | 0.0978690 | − | 0.931161i | −0.829876 | − | 0.557947i | \(-0.811589\pi\) |
0.927745 | − | 0.373214i | \(-0.121744\pi\) | |||||||
\(44\) | 14.0300 | − | 10.1934i | 2.11510 | − | 1.53671i | ||||
\(45\) | 3.65281 | − | 0.776429i | 0.544529 | − | 0.115743i | ||||
\(46\) | 20.8855 | + | 9.29882i | 3.07940 | + | 1.37104i | ||||
\(47\) | 4.86584 | − | 3.53524i | 0.709756 | − | 0.515668i | −0.173339 | − | 0.984862i | \(-0.555456\pi\) |
0.883095 | + | 0.469194i | \(0.155456\pi\) | |||||||
\(48\) | −24.8589 | + | 5.28392i | −3.58807 | + | 0.762668i | ||||
\(49\) | −0.418223 | − | 3.97912i | −0.0597461 | − | 0.568446i | ||||
\(50\) | −7.92311 | + | 3.52759i | −1.12050 | + | 0.498877i | ||||
\(51\) | −3.65821 | − | 11.2588i | −0.512251 | − | 1.57655i | ||||
\(52\) | 10.5086 | − | 15.3259i | 1.45728 | − | 2.12532i | ||||
\(53\) | 0.595899 | − | 1.83399i | 0.0818530 | − | 0.251918i | −0.901752 | − | 0.432254i | \(-0.857718\pi\) |
0.983605 | + | 0.180336i | \(0.0577185\pi\) | |||||||
\(54\) | 6.30686 | + | 7.00448i | 0.858255 | + | 0.953189i | ||||
\(55\) | −9.44934 | − | 2.00852i | −1.27415 | − | 0.270829i | ||||
\(56\) | 13.9896 | + | 24.2306i | 1.86943 | + | 3.23796i | ||||
\(57\) | 1.42903 | 0.189279 | ||||||||
\(58\) | 1.90729 | − | 2.11826i | 0.250439 | − | 0.278141i | ||||
\(59\) | −9.89702 | − | 4.40644i | −1.28848 | − | 0.573669i | −0.355866 | − | 0.934537i | \(-0.615814\pi\) |
−0.932617 | + | 0.360868i | \(0.882481\pi\) | |||||||
\(60\) | 24.8254 | + | 18.0367i | 3.20495 | + | 2.32853i | ||||
\(61\) | 5.35189 | + | 9.26974i | 0.685239 | + | 1.18687i | 0.973362 | + | 0.229275i | \(0.0736356\pi\) |
−0.288122 | + | 0.957594i | \(0.593031\pi\) | |||||||
\(62\) | 12.4204 | − | 8.21614i | 1.57739 | − | 1.04345i | ||||
\(63\) | −2.15714 | + | 3.73627i | −0.271774 | + | 0.470726i | ||||
\(64\) | −14.5904 | − | 10.6005i | −1.82379 | − | 1.32506i | ||||
\(65\) | −10.2615 | + | 1.36236i | −1.27278 | + | 0.168979i | ||||
\(66\) | 5.76753 | + | 17.7506i | 0.709934 | + | 2.18495i | ||||
\(67\) | −1.34091 | + | 2.32252i | −0.163818 | + | 0.283741i | −0.936235 | − | 0.351375i | \(-0.885714\pi\) |
0.772417 | + | 0.635116i | \(0.219048\pi\) | |||||||
\(68\) | 14.7102 | − | 25.4789i | 1.78388 | − | 3.08977i | ||||
\(69\) | −11.8611 | + | 13.1731i | −1.42791 | + | 1.58586i | ||||
\(70\) | 7.87051 | − | 24.2229i | 0.940705 | − | 2.89519i | ||||
\(71\) | −1.08741 | + | 0.231136i | −0.129052 | + | 0.0274308i | −0.271985 | − | 0.962302i | \(-0.587680\pi\) |
0.142933 | + | 0.989732i | \(0.454347\pi\) | |||||||
\(72\) | 1.14695 | − | 10.9125i | 0.135169 | − | 1.28605i | ||||
\(73\) | −0.0340146 | − | 0.104686i | −0.00398111 | − | 0.0122526i | 0.949046 | − | 0.315137i | \(-0.102050\pi\) |
−0.953027 | + | 0.302884i | \(0.902050\pi\) | |||||||
\(74\) | 1.91495 | − | 18.2195i | 0.222608 | − | 2.11798i | ||||
\(75\) | −0.702911 | − | 6.68775i | −0.0811652 | − | 0.772235i | ||||
\(76\) | 2.37638 | + | 2.63923i | 0.272589 | + | 0.302741i | ||||
\(77\) | 9.02900 | − | 6.55995i | 1.02895 | − | 0.747576i | ||||
\(78\) | 12.1921 | + | 15.8532i | 1.38049 | + | 1.79502i | ||||
\(79\) | −1.57712 | + | 4.85386i | −0.177439 | + | 0.546102i | −0.999736 | − | 0.0229562i | \(-0.992692\pi\) |
0.822297 | + | 0.569058i | \(0.192692\pi\) | |||||||
\(80\) | 3.67767 | + | 34.9907i | 0.411176 | + | 3.91208i | ||||
\(81\) | −10.2411 | + | 4.55964i | −1.13790 | + | 0.506626i | ||||
\(82\) | −12.4830 | + | 13.8638i | −1.37852 | + | 1.53100i | ||||
\(83\) | 0.383457 | + | 0.278598i | 0.0420899 | + | 0.0305801i | 0.608631 | − | 0.793453i | \(-0.291719\pi\) |
−0.566541 | + | 0.824033i | \(0.691719\pi\) | |||||||
\(84\) | −34.6759 | + | 7.37059i | −3.78345 | + | 0.804198i | ||||
\(85\) | −16.0306 | + | 3.40742i | −1.73877 | + | 0.369586i | ||||
\(86\) | 5.07456 | + | 15.6179i | 0.547204 | + | 1.68412i | ||||
\(87\) | 1.10503 | + | 1.91398i | 0.118472 | + | 0.205200i | ||||
\(88\) | −14.1923 | + | 24.5818i | −1.51290 | + | 2.62042i | ||||
\(89\) | −12.1201 | − | 2.57620i | −1.28473 | − | 0.273077i | −0.485568 | − | 0.874199i | \(-0.661387\pi\) |
−0.799158 | + | 0.601122i | \(0.794721\pi\) | |||||||
\(90\) | −8.08075 | + | 5.87101i | −0.851786 | + | 0.618859i | ||||
\(91\) | 6.76278 | − | 9.86298i | 0.708932 | − | 1.03392i | ||||
\(92\) | −44.0533 | −4.59287 | ||||||||
\(93\) | 3.08274 | + | 11.1274i | 0.319665 | + | 1.15386i | ||||
\(94\) | −8.04343 | + | 13.9316i | −0.829617 | + | 1.43694i | ||||
\(95\) | 0.206793 | − | 1.96751i | 0.0212165 | − | 0.201862i | ||||
\(96\) | 26.6870 | − | 19.3892i | 2.72373 | − | 1.97890i | ||||
\(97\) | 10.2433 | − | 11.3764i | 1.04005 | − | 1.15510i | 0.0523715 | − | 0.998628i | \(-0.483322\pi\) |
0.987683 | − | 0.156470i | \(-0.0500113\pi\) | |||||||
\(98\) | 5.35074 | + | 9.26776i | 0.540507 | + | 0.936185i | ||||
\(99\) | −4.37679 | −0.439884 | ||||||||
\(100\) | 11.1825 | − | 12.4195i | 1.11825 | − | 1.24195i | ||||
\(101\) | 7.14169 | + | 7.93166i | 0.710625 | + | 0.789229i | 0.985030 | − | 0.172385i | \(-0.0551474\pi\) |
−0.274404 | + | 0.961614i | \(0.588481\pi\) | |||||||
\(102\) | 21.1869 | + | 23.5305i | 2.09782 | + | 2.32986i | ||||
\(103\) | −10.6025 | − | 7.70314i | −1.04469 | − | 0.759013i | −0.0734962 | − | 0.997295i | \(-0.523416\pi\) |
−0.971196 | + | 0.238282i | \(0.923416\pi\) | |||||||
\(104\) | −5.51003 | + | 29.9118i | −0.540303 | + | 2.93310i | ||||
\(105\) | 15.9764 | + | 11.6075i | 1.55914 | + | 1.13278i | ||||
\(106\) | 0.539133 | + | 5.12951i | 0.0523652 | + | 0.498222i | ||||
\(107\) | −0.571022 | − | 0.634184i | −0.0552028 | − | 0.0613089i | 0.714911 | − | 0.699216i | \(-0.246467\pi\) |
−0.770114 | + | 0.637907i | \(0.779801\pi\) | |||||||
\(108\) | −16.5919 | − | 7.38719i | −1.59656 | − | 0.710833i | ||||
\(109\) | −1.37705 | + | 1.00049i | −0.131898 | + | 0.0958292i | −0.651778 | − | 0.758410i | \(-0.725977\pi\) |
0.519880 | + | 0.854239i | \(0.325977\pi\) | |||||||
\(110\) | 25.2739 | − | 5.37214i | 2.40977 | − | 0.512213i | ||||
\(111\) | 12.9764 | + | 5.77745i | 1.23166 | + | 0.548372i | ||||
\(112\) | −32.8837 | − | 23.8914i | −3.10721 | − | 2.25752i | ||||
\(113\) | 2.32721 | − | 2.58463i | 0.218926 | − | 0.243142i | −0.623671 | − | 0.781687i | \(-0.714359\pi\) |
0.842596 | + | 0.538546i | \(0.181026\pi\) | |||||||
\(114\) | −3.49174 | + | 1.55462i | −0.327032 | + | 0.145604i | ||||
\(115\) | 16.4205 | + | 18.2368i | 1.53122 | + | 1.70059i | ||||
\(116\) | −1.69727 | + | 5.22367i | −0.157588 | + | 0.485005i | ||||
\(117\) | −4.41917 | + | 1.57035i | −0.408552 | + | 0.145178i | ||||
\(118\) | 28.9765 | 2.66750 | ||||||||
\(119\) | 9.46676 | − | 16.3969i | 0.867816 | − | 1.50310i | ||||
\(120\) | −49.1276 | − | 10.4424i | −4.48472 | − | 0.953256i | ||||
\(121\) | 0.294322 | + | 0.131041i | 0.0267566 | + | 0.0119128i | ||||
\(122\) | −23.1615 | − | 16.8278i | −2.09694 | − | 1.52352i | ||||
\(123\) | −7.23235 | − | 12.5268i | −0.652119 | − | 1.12950i | ||||
\(124\) | −15.4246 | + | 24.1976i | −1.38517 | + | 2.17301i | ||||
\(125\) | 5.04547 | 0.451280 | ||||||||
\(126\) | 1.20618 | − | 11.4761i | 0.107455 | − | 1.02237i | ||||
\(127\) | −0.471893 | − | 4.48976i | −0.0418738 | − | 0.398402i | −0.995305 | − | 0.0967909i | \(-0.969142\pi\) |
0.953431 | − | 0.301611i | \(-0.0975245\pi\) | |||||||
\(128\) | 16.0653 | + | 3.41479i | 1.41999 | + | 0.301828i | ||||
\(129\) | −12.7326 | −1.12104 | ||||||||
\(130\) | 23.5912 | − | 14.4922i | 2.06908 | − | 1.27105i | ||||
\(131\) | 4.70155 | + | 14.4699i | 0.410777 | + | 1.26424i | 0.915974 | + | 0.401237i | \(0.131420\pi\) |
−0.505198 | + | 0.863004i | \(0.668580\pi\) | |||||||
\(132\) | −24.0648 | − | 26.7267i | −2.09457 | − | 2.32626i | ||||
\(133\) | 1.52932 | + | 1.69848i | 0.132608 | + | 0.147277i | ||||
\(134\) | 0.749781 | − | 7.13369i | 0.0647712 | − | 0.616257i | ||||
\(135\) | 3.12641 | + | 9.62210i | 0.269079 | + | 0.828139i | ||||
\(136\) | −5.03346 | + | 47.8901i | −0.431615 | + | 4.10654i | ||||
\(137\) | 2.13495 | + | 0.950540i | 0.182401 | + | 0.0812101i | 0.495905 | − | 0.868377i | \(-0.334836\pi\) |
−0.313504 | + | 0.949587i | \(0.601503\pi\) | |||||||
\(138\) | 14.6510 | − | 45.0913i | 1.24718 | − | 3.83842i | ||||
\(139\) | 0.729924 | + | 0.324983i | 0.0619113 | + | 0.0275647i | 0.437459 | − | 0.899238i | \(-0.355879\pi\) |
−0.375547 | + | 0.926803i | \(0.622545\pi\) | |||||||
\(140\) | 5.13002 | + | 48.8088i | 0.433565 | + | 4.12510i | ||||
\(141\) | −8.34609 | − | 9.26927i | −0.702867 | − | 0.780613i | ||||
\(142\) | 2.40556 | − | 1.74774i | 0.201870 | − | 0.146667i | ||||
\(143\) | 12.0958 | + | 0.938661i | 1.01150 | + | 0.0784948i | ||||
\(144\) | 4.92582 | + | 15.1601i | 0.410485 | + | 1.26334i | ||||
\(145\) | 2.79509 | − | 1.24446i | 0.232120 | − | 0.103346i | ||||
\(146\) | 0.196999 | + | 0.218790i | 0.0163038 | + | 0.0181072i | ||||
\(147\) | −8.11613 | + | 1.72514i | −0.669407 | + | 0.142287i | ||||
\(148\) | 10.9086 | + | 33.5732i | 0.896681 | + | 2.75970i | ||||
\(149\) | −0.693899 | − | 1.20187i | −0.0568464 | − | 0.0984609i | 0.836202 | − | 0.548422i | \(-0.184771\pi\) |
−0.893048 | + | 0.449961i | \(0.851438\pi\) | |||||||
\(150\) | 8.99305 | + | 15.5764i | 0.734279 | + | 1.27181i | ||||
\(151\) | −1.36247 | − | 4.19325i | −0.110876 | − | 0.341241i | 0.880189 | − | 0.474624i | \(-0.157416\pi\) |
−0.991065 | + | 0.133383i | \(0.957416\pi\) | |||||||
\(152\) | −5.31027 | − | 2.36429i | −0.430720 | − | 0.191769i | ||||
\(153\) | −6.78321 | + | 3.02008i | −0.548390 | + | 0.244159i | ||||
\(154\) | −14.9253 | + | 25.8514i | −1.20271 | + | 2.08316i | ||||
\(155\) | 15.7665 | − | 2.63412i | 1.26639 | − | 0.211577i | ||||
\(156\) | −33.8871 | − | 18.3513i | −2.71314 | − | 1.46928i | ||||
\(157\) | 5.09236 | + | 3.69981i | 0.406414 | + | 0.295277i | 0.772149 | − | 0.635442i | \(-0.219182\pi\) |
−0.365734 | + | 0.930719i | \(0.619182\pi\) | |||||||
\(158\) | −1.42688 | − | 13.5758i | −0.113516 | − | 1.08004i | ||||
\(159\) | −3.91171 | − | 0.831459i | −0.310219 | − | 0.0659390i | ||||
\(160\) | −22.8335 | − | 39.5487i | −1.80514 | − | 3.12660i | ||||
\(161\) | −28.3505 | −2.23433 | ||||||||
\(162\) | 20.0631 | − | 22.2824i | 1.57631 | − | 1.75067i | ||||
\(163\) | 15.8058 | − | 3.35963i | 1.23801 | − | 0.263147i | 0.458021 | − | 0.888941i | \(-0.348558\pi\) |
0.779988 | + | 0.625794i | \(0.215225\pi\) | |||||||
\(164\) | 11.1085 | − | 34.1884i | 0.867428 | − | 2.66967i | ||||
\(165\) | −2.09413 | + | 19.9243i | −0.163028 | + | 1.55111i | ||||
\(166\) | −1.24004 | − | 0.263578i | −0.0962455 | − | 0.0204576i | ||||
\(167\) | −18.3153 | + | 8.15449i | −1.41728 | + | 0.631014i | −0.965331 | − | 0.261030i | \(-0.915938\pi\) |
−0.451949 | + | 0.892044i | \(0.649271\pi\) | |||||||
\(168\) | 46.9422 | − | 34.1055i | 3.62167 | − | 2.63130i | ||||
\(169\) | 12.5497 | − | 3.39208i | 0.965358 | − | 0.260929i | ||||
\(170\) | 35.4630 | − | 25.7654i | 2.71989 | − | 1.97611i | ||||
\(171\) | −0.0936903 | − | 0.891404i | −0.00716468 | − | 0.0681673i | ||||
\(172\) | −21.1734 | − | 23.5154i | −1.61446 | − | 1.79304i | ||||
\(173\) | −9.16661 | − | 4.08124i | −0.696925 | − | 0.310291i | 0.0275225 | − | 0.999621i | \(-0.491238\pi\) |
−0.724447 | + | 0.689330i | \(0.757905\pi\) | |||||||
\(174\) | −4.78227 | − | 3.47452i | −0.362543 | − | 0.263403i | ||||
\(175\) | 7.19651 | − | 7.99254i | 0.544005 | − | 0.604179i | ||||
\(176\) | 4.31028 | − | 41.0096i | 0.324899 | − | 3.09121i | ||||
\(177\) | −6.94270 | + | 21.3674i | −0.521845 | + | 1.60607i | ||||
\(178\) | 32.4173 | − | 6.89051i | 2.42978 | − | 0.516465i | ||||
\(179\) | 15.3683 | + | 3.26664i | 1.14868 | + | 0.244160i | 0.742639 | − | 0.669692i | \(-0.233574\pi\) |
0.406046 | + | 0.913853i | \(0.366907\pi\) | |||||||
\(180\) | 9.62339 | − | 16.6682i | 0.717285 | − | 1.24237i | ||||
\(181\) | 10.5304 | 0.782721 | 0.391360 | − | 0.920237i | \(-0.372005\pi\) | ||||
0.391360 | + | 0.920237i | \(0.372005\pi\) | |||||||
\(182\) | −5.79462 | + | 31.4567i | −0.429526 | + | 2.33173i | ||||
\(183\) | 17.9583 | − | 13.0475i | 1.32752 | − | 0.964499i | ||||
\(184\) | 65.8705 | − | 29.3274i | 4.85604 | − | 2.16205i | ||||
\(185\) | 9.83227 | − | 17.0300i | 0.722883 | − | 1.25207i | ||||
\(186\) | −19.6379 | − | 23.8355i | −1.43992 | − | 1.74770i | ||||
\(187\) | 19.2079 | 1.40462 | ||||||||
\(188\) | 3.24019 | − | 30.8283i | 0.236315 | − | 2.24839i | ||||
\(189\) | −10.6777 | − | 4.75402i | −0.776689 | − | 0.345804i | ||||
\(190\) | 1.63514 | + | 5.03244i | 0.118626 | + | 0.365092i | ||||
\(191\) | −5.20871 | − | 9.02175i | −0.376889 | − | 0.652791i | 0.613719 | − | 0.789525i | \(-0.289673\pi\) |
−0.990608 | + | 0.136734i | \(0.956340\pi\) | |||||||
\(192\) | −18.7004 | + | 32.3900i | −1.34958 | + | 2.33754i | ||||
\(193\) | −15.9922 | − | 3.39925i | −1.15114 | − | 0.244683i | −0.407466 | − | 0.913221i | \(-0.633587\pi\) |
−0.743679 | + | 0.668537i | \(0.766921\pi\) | |||||||
\(194\) | −12.6527 | + | 38.9411i | −0.908413 | + | 2.79581i | ||||
\(195\) | 5.03422 | + | 20.8686i | 0.360508 | + | 1.49443i | ||||
\(196\) | −16.6827 | − | 12.1207i | −1.19162 | − | 0.865762i | ||||
\(197\) | −1.29058 | − | 0.274321i | −0.0919499 | − | 0.0195446i | 0.161707 | − | 0.986839i | \(-0.448300\pi\) |
−0.253657 | + | 0.967294i | \(0.581633\pi\) | |||||||
\(198\) | 10.6944 | − | 4.76146i | 0.760019 | − | 0.338382i | ||||
\(199\) | 13.1460 | + | 5.85299i | 0.931898 | + | 0.414908i | 0.815803 | − | 0.578330i | \(-0.196296\pi\) |
0.116095 | + | 0.993238i | \(0.462962\pi\) | |||||||
\(200\) | −8.45267 | + | 26.0146i | −0.597694 | + | 1.83951i | ||||
\(201\) | 5.08078 | + | 2.26211i | 0.358371 | + | 0.159557i | ||||
\(202\) | −26.0790 | − | 11.6111i | −1.83491 | − | 0.816957i | ||||
\(203\) | −1.09228 | + | 3.36169i | −0.0766629 | + | 0.235944i | ||||
\(204\) | −55.7380 | − | 24.8161i | −3.90244 | − | 1.73748i | ||||
\(205\) | −18.2936 | + | 8.14486i | −1.27768 | + | 0.568861i | ||||
\(206\) | 34.2866 | + | 7.28785i | 2.38886 | + | 0.507768i | ||||
\(207\) | 8.99480 | + | 6.53511i | 0.625182 | + | 0.454221i | ||||
\(208\) | −10.3618 | − | 42.9531i | −0.718460 | − | 2.97826i | ||||
\(209\) | −0.716501 | + | 2.20516i | −0.0495614 | + | 0.152534i | ||||
\(210\) | −51.6650 | − | 10.9817i | −3.56522 | − | 0.757811i | ||||
\(211\) | 9.35711 | − | 16.2070i | 0.644170 | − | 1.11574i | −0.340323 | − | 0.940309i | \(-0.610536\pi\) |
0.984493 | − | 0.175426i | \(-0.0561304\pi\) | |||||||
\(212\) | −4.96930 | − | 8.60708i | −0.341293 | − | 0.591137i | ||||
\(213\) | 0.712430 | + | 2.19263i | 0.0488149 | + | 0.150237i | ||||
\(214\) | 2.08518 | + | 0.928381i | 0.142540 | + | 0.0634628i | ||||
\(215\) | −1.84252 | + | 17.5304i | −0.125659 | + | 1.19556i | ||||
\(216\) | 29.7268 | 2.02265 | ||||||||
\(217\) | −9.92646 | + | 15.5723i | −0.673852 | + | 1.05712i | ||||
\(218\) | 2.27632 | − | 3.94270i | 0.154172 | − | 0.267034i | ||||
\(219\) | −0.208538 | + | 0.0928470i | −0.0140917 | + | 0.00627402i | ||||
\(220\) | −40.2800 | + | 29.2652i | −2.71568 | + | 1.97306i | ||||
\(221\) | 19.3939 | − | 6.89158i | 1.30457 | − | 0.463578i | ||||
\(222\) | −37.9922 | −2.54987 | ||||||||
\(223\) | −2.26757 | + | 3.92755i | −0.151848 | + | 0.263008i | −0.931907 | − | 0.362698i | \(-0.881856\pi\) |
0.780059 | + | 0.625706i | \(0.215189\pi\) | |||||||
\(224\) | 51.6049 | + | 10.9690i | 3.44800 | + | 0.732895i | ||||
\(225\) | −4.12562 | + | 0.876928i | −0.275041 | + | 0.0584619i | ||||
\(226\) | −2.87461 | + | 8.84713i | −0.191216 | + | 0.588502i | ||||
\(227\) | −2.91715 | + | 27.7549i | −0.193618 | + | 1.84216i | 0.278277 | + | 0.960501i | \(0.410237\pi\) |
−0.471896 | + | 0.881654i | \(0.656430\pi\) | |||||||
\(228\) | 4.92818 | − | 5.47330i | 0.326377 | − | 0.362478i | ||||
\(229\) | −23.6783 | − | 17.2033i | −1.56471 | − | 1.13683i | −0.932013 | − | 0.362425i | \(-0.881949\pi\) |
−0.632695 | − | 0.774401i | \(-0.718051\pi\) | |||||||
\(230\) | −59.9621 | − | 26.6968i | −3.95378 | − | 1.76034i | ||||
\(231\) | −15.4869 | − | 17.1999i | −1.01896 | − | 1.13167i | ||||
\(232\) | −0.939693 | − | 8.94058i | −0.0616939 | − | 0.586978i | ||||
\(233\) | 10.2319 | − | 7.43389i | 0.670312 | − | 0.487010i | −0.199818 | − | 0.979833i | \(-0.564035\pi\) |
0.870130 | + | 0.492823i | \(0.164035\pi\) | |||||||
\(234\) | 9.08960 | − | 8.64460i | 0.594206 | − | 0.565116i | ||||
\(235\) | −13.9698 | + | 10.1497i | −0.911289 | + | 0.662091i | ||||
\(236\) | −51.0081 | + | 22.7103i | −3.32035 | + | 1.47831i | ||||
\(237\) | 10.3528 | + | 2.20055i | 0.672486 | + | 0.142941i | ||||
\(238\) | −5.29343 | + | 50.3636i | −0.343122 | + | 3.26459i | ||||
\(239\) | 3.13660 | − | 9.65346i | 0.202890 | − | 0.624430i | −0.796904 | − | 0.604106i | \(-0.793530\pi\) |
0.999793 | − | 0.0203241i | \(-0.00646981\pi\) | |||||||
\(240\) | 71.3697 | − | 15.1701i | 4.60690 | − | 0.979226i | ||||
\(241\) | −4.11173 | + | 4.56654i | −0.264860 | + | 0.294157i | −0.860875 | − | 0.508817i | \(-0.830083\pi\) |
0.596015 | + | 0.802973i | \(0.296750\pi\) | |||||||
\(242\) | −0.861716 | −0.0553932 | ||||||||
\(243\) | 6.33814 | + | 10.9780i | 0.406592 | + | 0.704238i | ||||
\(244\) | 53.9606 | + | 11.4697i | 3.45447 | + | 0.734270i | ||||
\(245\) | 1.20071 | + | 11.4240i | 0.0767108 | + | 0.729855i | ||||
\(246\) | 31.2996 | + | 22.7405i | 1.99559 | + | 1.44988i | ||||
\(247\) | 0.0677503 | + | 2.48359i | 0.00431085 | + | 0.158027i | ||||
\(248\) | 6.95454 | − | 46.4498i | 0.441614 | − | 2.94957i | ||||
\(249\) | 0.491474 | − | 0.851258i | 0.0311459 | − | 0.0539463i | ||||
\(250\) | −12.3283 | + | 5.48891i | −0.779709 | + | 0.347149i | ||||
\(251\) | 20.3703 | + | 9.06943i | 1.28576 | + | 0.572457i | 0.931857 | − | 0.362825i | \(-0.118188\pi\) |
0.353903 | + | 0.935282i | \(0.384854\pi\) | |||||||
\(252\) | 6.87108 | + | 21.1470i | 0.432837 | + | 1.33214i | ||||
\(253\) | −14.3806 | − | 24.9080i | −0.904103 | − | 1.56595i | ||||
\(254\) | 6.03740 | + | 10.4571i | 0.378820 | + | 0.656136i | ||||
\(255\) | 10.5027 | + | 32.3240i | 0.657704 | + | 2.02420i | ||||
\(256\) | −7.68843 | + | 1.63423i | −0.480527 | + | 0.102139i | ||||
\(257\) | 17.9882 | + | 19.9779i | 1.12207 | + | 1.24619i | 0.966028 | + | 0.258437i | \(0.0832074\pi\) |
0.156044 | + | 0.987750i | \(0.450126\pi\) | |||||||
\(258\) | 31.1113 | − | 13.8516i | 1.93690 | − | 0.862365i | ||||
\(259\) | 7.02022 | + | 21.6060i | 0.436215 | + | 1.34253i | ||||
\(260\) | −30.1700 | + | 44.0006i | −1.87107 | + | 2.72880i | ||||
\(261\) | 1.12146 | − | 0.814786i | 0.0694164 | − | 0.0504340i | ||||
\(262\) | −27.2296 | − | 30.2415i | −1.68225 | − | 1.86833i | ||||
\(263\) | 0.170953 | + | 1.62651i | 0.0105414 | + | 0.100295i | 0.998527 | − | 0.0542480i | \(-0.0172762\pi\) |
−0.987986 | + | 0.154543i | \(0.950609\pi\) | |||||||
\(264\) | 53.7755 | + | 23.9424i | 3.30965 | + | 1.47355i | ||||
\(265\) | −1.71082 | + | 5.26537i | −0.105095 | + | 0.323449i | ||||
\(266\) | −5.58454 | − | 2.48640i | −0.342410 | − | 0.152451i | ||||
\(267\) | −2.68601 | + | 25.5557i | −0.164381 | + | 1.56398i | ||||
\(268\) | 4.27116 | + | 13.1453i | 0.260903 | + | 0.802976i | ||||
\(269\) | −1.39748 | + | 13.2961i | −0.0852057 | + | 0.810678i | 0.865568 | + | 0.500791i | \(0.166958\pi\) |
−0.950774 | + | 0.309886i | \(0.899709\pi\) | |||||||
\(270\) | −18.1070 | − | 20.1098i | −1.10195 | − | 1.22384i | ||||
\(271\) | −10.1576 | − | 11.2812i | −0.617031 | − | 0.685282i | 0.350925 | − | 0.936404i | \(-0.385867\pi\) |
−0.967956 | + | 0.251122i | \(0.919201\pi\) | |||||||
\(272\) | −21.6173 | − | 66.5314i | −1.31074 | − | 4.03406i | ||||
\(273\) | −21.8080 | − | 11.8100i | −1.31988 | − | 0.714771i | ||||
\(274\) | −6.25069 | −0.377618 | ||||||||
\(275\) | 10.6724 | + | 2.26850i | 0.643572 | + | 0.136795i | ||||
\(276\) | 9.54958 | + | 90.8582i | 0.574817 | + | 5.46902i | ||||
\(277\) | −0.417566 | + | 3.97288i | −0.0250891 | + | 0.238707i | 0.974790 | + | 0.223126i | \(0.0716263\pi\) |
−0.999879 | + | 0.0155805i | \(0.995040\pi\) | |||||||
\(278\) | −2.13707 | −0.128173 | ||||||||
\(279\) | 6.73899 | − | 2.65250i | 0.403453 | − | 0.158801i | ||||
\(280\) | −40.1640 | − | 69.5660i | −2.40026 | − | 4.15736i | ||||
\(281\) | 1.95590 | + | 1.42104i | 0.116679 | + | 0.0847724i | 0.644595 | − | 0.764525i | \(-0.277026\pi\) |
−0.527915 | + | 0.849297i | \(0.677026\pi\) | |||||||
\(282\) | 30.4771 | + | 13.5693i | 1.81488 | + | 0.808038i | ||||
\(283\) | 2.89336 | + | 0.615002i | 0.171992 | + | 0.0365581i | 0.293103 | − | 0.956081i | \(-0.405312\pi\) |
−0.121110 | + | 0.992639i | \(0.538646\pi\) | |||||||
\(284\) | −2.86479 | + | 4.96197i | −0.169994 | + | 0.294439i | ||||
\(285\) | −4.10273 | −0.243025 | ||||||||
\(286\) | −30.5764 | + | 10.8653i | −1.80802 | + | 0.642477i | ||||
\(287\) | 7.14887 | − | 22.0019i | 0.421984 | − | 1.29873i | ||||
\(288\) | −13.8443 | − | 15.3757i | −0.815784 | − | 0.906020i | ||||
\(289\) | 14.2384 | − | 6.33932i | 0.837550 | − | 0.372901i | ||||
\(290\) | −5.47581 | + | 6.08150i | −0.321551 | + | 0.357118i | ||||
\(291\) | −25.6839 | − | 18.6604i | −1.50561 | − | 1.09389i | ||||
\(292\) | −0.518261 | − | 0.230745i | −0.0303289 | − | 0.0135033i | ||||
\(293\) | −2.67781 | + | 0.569186i | −0.156439 | + | 0.0332522i | −0.285465 | − | 0.958389i | \(-0.592148\pi\) |
0.129026 | + | 0.991641i | \(0.458815\pi\) | |||||||
\(294\) | 17.9545 | − | 13.0447i | 1.04713 | − | 0.760783i | ||||
\(295\) | 28.4143 | + | 12.6509i | 1.65434 | + | 0.736561i | ||||
\(296\) | −38.6616 | − | 42.9381i | −2.24716 | − | 2.49572i | ||||
\(297\) | −1.23946 | − | 11.7926i | −0.0719205 | − | 0.684278i | ||||
\(298\) | 3.00300 | + | 2.18181i | 0.173959 | + | 0.126389i | ||||
\(299\) | −23.4566 | − | 19.9896i | −1.35653 | − | 1.15603i | ||||
\(300\) | −28.0387 | − | 20.3713i | −1.61882 | − | 1.17614i | ||||
\(301\) | −13.6261 | − | 15.1334i | −0.785397 | − | 0.872272i | ||||
\(302\) | 7.89089 | + | 8.76372i | 0.454070 | + | 0.504295i | ||||
\(303\) | 14.8106 | − | 16.4488i | 0.850847 | − | 0.944962i | ||||
\(304\) | 8.44452 | 0.484327 | ||||||||
\(305\) | −15.3652 | − | 26.6134i | −0.879811 | − | 1.52388i | ||||
\(306\) | 13.2888 | − | 14.7588i | 0.759672 | − | 0.843702i | ||||
\(307\) | 23.2740 | − | 16.9096i | 1.32832 | − | 0.965081i | 0.328532 | − | 0.944493i | \(-0.393446\pi\) |
0.999788 | − | 0.0205880i | \(-0.00655382\pi\) | |||||||
\(308\) | 6.01245 | − | 57.2046i | 0.342591 | − | 3.25954i | ||||
\(309\) | −13.5891 | + | 23.5370i | −0.773057 | + | 1.33897i | ||||
\(310\) | −35.6588 | + | 23.5885i | −2.02528 | + | 1.33974i | ||||
\(311\) | 13.4780 | 0.764266 | 0.382133 | − | 0.924107i | \(-0.375190\pi\) | ||||
0.382133 | + | 0.924107i | \(0.375190\pi\) | |||||||
\(312\) | 62.8864 | + | 4.88015i | 3.56024 | + | 0.276284i | ||||
\(313\) | −25.5527 | + | 18.5651i | −1.44432 | + | 1.04936i | −0.457206 | + | 0.889361i | \(0.651150\pi\) |
−0.987117 | + | 0.160001i | \(0.948850\pi\) | |||||||
\(314\) | −16.4678 | − | 3.50035i | −0.929334 | − | 0.197536i | ||||
\(315\) | 6.19313 | − | 10.7268i | 0.348943 | − | 0.604387i | ||||
\(316\) | 13.1518 | + | 22.7796i | 0.739848 | + | 1.28145i | ||||
\(317\) | 2.97575 | + | 9.15842i | 0.167135 | + | 0.514388i | 0.999187 | − | 0.0403090i | \(-0.0128342\pi\) |
−0.832052 | + | 0.554697i | \(0.812834\pi\) | |||||||
\(318\) | 10.4625 | − | 2.22388i | 0.586711 | − | 0.124709i | ||||
\(319\) | −3.50755 | + | 0.745552i | −0.196385 | + | 0.0417429i | ||||
\(320\) | 41.8888 | + | 30.4340i | 2.34166 | + | 1.70131i | ||||
\(321\) | −1.18420 | + | 1.31519i | −0.0660955 | + | 0.0734065i | ||||
\(322\) | 69.2726 | − | 30.8421i | 3.86041 | − | 1.71877i | ||||
\(323\) | 0.411167 | + | 3.91199i | 0.0228779 | + | 0.217669i | ||||
\(324\) | −17.8540 | + | 54.9488i | −0.991886 | + | 3.05271i | ||||
\(325\) | 11.5897 | − | 1.53869i | 0.642880 | − | 0.0853514i | ||||
\(326\) | −34.9657 | + | 25.4040i | −1.93657 | + | 1.40700i | ||||
\(327\) | 2.36197 | + | 2.62324i | 0.130617 | + | 0.145065i | ||||
\(328\) | 6.15021 | + | 58.5153i | 0.339588 | + | 3.23097i | ||||
\(329\) | 2.08522 | − | 19.8395i | 0.114962 | − | 1.09379i | ||||
\(330\) | −16.5585 | − | 50.9620i | −0.911518 | − | 2.80536i | ||||
\(331\) | −1.02277 | + | 9.73103i | −0.0562167 | + | 0.534866i | 0.929782 | + | 0.368111i | \(0.119995\pi\) |
−0.985998 | + | 0.166755i | \(0.946671\pi\) | |||||||
\(332\) | 2.38945 | − | 0.507894i | 0.131138 | − | 0.0278743i | ||||
\(333\) | 2.75312 | − | 8.47322i | 0.150870 | − | 0.464330i | ||||
\(334\) | 35.8811 | − | 39.8500i | 1.96333 | − | 2.18049i | ||||
\(335\) | 3.84974 | − | 6.66794i | 0.210334 | − | 0.364308i | ||||
\(336\) | −42.1468 | + | 73.0003i | −2.29929 | + | 3.98250i | ||||
\(337\) | −4.88137 | − | 15.0233i | −0.265905 | − | 0.818372i | −0.991483 | − | 0.130233i | \(-0.958428\pi\) |
0.725578 | − | 0.688140i | \(-0.241572\pi\) | |||||||
\(338\) | −26.9741 | + | 21.9410i | −1.46720 | + | 1.19343i | ||||
\(339\) | −5.83518 | − | 4.23951i | −0.316924 | − | 0.230258i | ||||
\(340\) | −42.2330 | + | 73.1496i | −2.29040 | + | 3.96710i | ||||
\(341\) | −18.7166 | − | 0.822145i | −1.01356 | − | 0.0445217i | ||||
\(342\) | 1.19867 | + | 2.07616i | 0.0648169 | + | 0.112266i | ||||
\(343\) | 8.04721 | + | 5.84664i | 0.434508 | + | 0.315689i | ||||
\(344\) | 47.3143 | + | 21.0657i | 2.55102 | + | 1.13579i | ||||
\(345\) | 34.0532 | − | 37.8199i | 1.83336 | − | 2.03616i | ||||
\(346\) | 26.8380 | 1.44282 | ||||||||
\(347\) | −10.1456 | − | 17.5726i | −0.544642 | − | 0.943347i | −0.998629 | − | 0.0523391i | \(-0.983332\pi\) |
0.453988 | − | 0.891008i | \(-0.350001\pi\) | |||||||
\(348\) | 11.1415 | + | 2.36821i | 0.597249 | + | 0.126949i | ||||
\(349\) | 5.11907 | + | 5.68530i | 0.274017 | + | 0.304327i | 0.864409 | − | 0.502790i | \(-0.167693\pi\) |
−0.590391 | + | 0.807117i | \(0.701026\pi\) | |||||||
\(350\) | −8.88924 | + | 27.3583i | −0.475150 | + | 1.46236i | ||||
\(351\) | −5.48253 | − | 11.4621i | −0.292636 | − | 0.611802i | ||||
\(352\) | 16.5393 | + | 50.9027i | 0.881548 | + | 2.71312i | ||||
\(353\) | 30.1822 | − | 13.4380i | 1.60644 | − | 0.715232i | 0.609453 | − | 0.792822i | \(-0.291389\pi\) |
0.996985 | + | 0.0775896i | \(0.0247224\pi\) | |||||||
\(354\) | −6.28133 | − | 59.7629i | −0.333849 | − | 3.17636i | ||||
\(355\) | 3.12194 | − | 0.663589i | 0.165696 | − | 0.0352197i | ||||
\(356\) | −51.6647 | + | 37.5366i | −2.73822 | + | 1.98944i | ||||
\(357\) | −35.8701 | − | 15.9704i | −1.89845 | − | 0.845244i | ||||
\(358\) | −41.1053 | + | 8.73721i | −2.17248 | + | 0.461776i | ||||
\(359\) | 18.6128 | − | 13.5230i | 0.982348 | − | 0.713717i | 0.0241155 | − | 0.999709i | \(-0.492323\pi\) |
0.958232 | + | 0.285992i | \(0.0923231\pi\) | |||||||
\(360\) | −3.29287 | + | 31.3296i | −0.173550 | + | 1.65121i | ||||
\(361\) | 18.1204 | + | 3.85160i | 0.953703 | + | 0.202716i | ||||
\(362\) | −25.7305 | + | 11.4559i | −1.35236 | + | 0.602111i | ||||
\(363\) | 0.206465 | − | 0.635435i | 0.0108366 | − | 0.0333517i | ||||
\(364\) | −14.4537 | − | 59.9157i | −0.757582 | − | 3.14044i | ||||
\(365\) | 0.0976557 | + | 0.300553i | 0.00511153 | + | 0.0157317i | ||||
\(366\) | −29.6859 | + | 51.4174i | −1.55171 | + | 2.68763i | ||||
\(367\) | −4.37258 | + | 7.57353i | −0.228247 | + | 0.395335i | −0.957289 | − | 0.289134i | \(-0.906633\pi\) |
0.729042 | + | 0.684469i | \(0.239966\pi\) | |||||||
\(368\) | −70.0906 | + | 77.8435i | −3.65373 | + | 4.05787i | ||||
\(369\) | −7.33983 | + | 5.33270i | −0.382097 | + | 0.277609i | ||||
\(370\) | −5.49781 | + | 52.3081i | −0.285817 | + | 2.71937i | ||||
\(371\) | −3.19799 | − | 5.53908i | −0.166031 | − | 0.287575i | ||||
\(372\) | 53.2502 | + | 26.5672i | 2.76089 | + | 1.37744i | ||||
\(373\) | 11.5086 | + | 19.9335i | 0.595893 | + | 1.03212i | 0.993420 | + | 0.114527i | \(0.0365351\pi\) |
−0.397527 | + | 0.917590i | \(0.630132\pi\) | |||||||
\(374\) | −46.9332 | + | 20.8960i | −2.42686 | + | 1.08051i | ||||
\(375\) | −1.09372 | − | 10.4061i | −0.0564796 | − | 0.537368i | ||||
\(376\) | 15.6783 | + | 48.2530i | 0.808549 | + | 2.48846i | ||||
\(377\) | −3.27401 | + | 2.01124i | −0.168620 | + | 0.103584i | ||||
\(378\) | 31.2622 | 1.60795 | ||||||||
\(379\) | −15.7746 | − | 3.35300i | −0.810288 | − | 0.172232i | −0.215905 | − | 0.976414i | \(-0.569270\pi\) |
−0.594383 | + | 0.804182i | \(0.702604\pi\) | |||||||
\(380\) | −6.82256 | − | 7.57722i | −0.349990 | − | 0.388703i | ||||
\(381\) | −9.15768 | + | 1.94652i | −0.469162 | + | 0.0997234i | ||||
\(382\) | 22.5418 | + | 16.3776i | 1.15334 | + | 0.837951i | ||||
\(383\) | 5.00203 | − | 5.55532i | 0.255592 | − | 0.283864i | −0.601669 | − | 0.798745i | \(-0.705497\pi\) |
0.857261 | + | 0.514882i | \(0.172164\pi\) | |||||||
\(384\) | 3.56034 | − | 33.8744i | 0.181688 | − | 1.72865i | ||||
\(385\) | −25.9222 | + | 18.8336i | −1.32112 | + | 0.959848i | ||||
\(386\) | 42.7740 | − | 9.09189i | 2.17714 | − | 0.462765i | ||||
\(387\) | 0.834776 | + | 7.94237i | 0.0424341 | + | 0.403733i | ||||
\(388\) | −8.24709 | − | 78.4658i | −0.418682 | − | 3.98350i | ||||
\(389\) | −2.07201 | + | 6.37701i | −0.105055 | + | 0.323327i | −0.989743 | − | 0.142856i | \(-0.954371\pi\) |
0.884688 | + | 0.466183i | \(0.154371\pi\) | |||||||
\(390\) | −35.0035 | − | 45.5144i | −1.77247 | − | 2.30471i | ||||
\(391\) | −39.4744 | − | 28.6798i | −1.99630 | − | 1.45040i | ||||
\(392\) | 33.0137 | + | 7.01729i | 1.66745 | + | 0.354427i | ||||
\(393\) | 28.8244 | − | 12.8335i | 1.45400 | − | 0.647363i | ||||
\(394\) | 3.45188 | − | 0.733719i | 0.173903 | − | 0.0369642i | ||||
\(395\) | 4.52789 | − | 13.9354i | 0.227823 | − | 0.701167i | ||||
\(396\) | −15.0939 | + | 16.7635i | −0.758497 | + | 0.842397i | ||||
\(397\) | 4.17780 | + | 7.23616i | 0.209678 | + | 0.363172i | 0.951613 | − | 0.307299i | \(-0.0994252\pi\) |
−0.741935 | + | 0.670471i | \(0.766092\pi\) | |||||||
\(398\) | −38.4889 | −1.92928 | ||||||||
\(399\) | 3.17153 | − | 3.52234i | 0.158775 | − | 0.176338i | ||||
\(400\) | −4.15369 | − | 39.5198i | −0.207685 | − | 1.97599i | ||||
\(401\) | 21.2689 | − | 9.46950i | 1.06212 | − | 0.472884i | 0.200105 | − | 0.979774i | \(-0.435872\pi\) |
0.862011 | + | 0.506890i | \(0.169205\pi\) | |||||||
\(402\) | −14.8755 | −0.741922 | ||||||||
\(403\) | −19.1928 | + | 5.88521i | −0.956062 | + | 0.293163i | ||||
\(404\) | 55.0079 | 2.73675 | ||||||||
\(405\) | 29.4022 | − | 13.0907i | 1.46101 | − | 0.650482i | ||||
\(406\) | −0.988227 | − | 9.40235i | −0.0490449 | − | 0.466631i | ||||
\(407\) | −15.4215 | + | 17.1273i | −0.764417 | + | 0.848971i | ||||
\(408\) | 99.8627 | 4.94394 | ||||||||
\(409\) | 9.35216 | + | 16.1984i | 0.462434 | + | 0.800960i | 0.999082 | − | 0.0428468i | \(-0.0136427\pi\) |
−0.536647 | + | 0.843807i | \(0.680309\pi\) | |||||||
\(410\) | 35.8387 | − | 39.8029i | 1.76995 | − | 1.96572i | ||||
\(411\) | 1.49765 | − | 4.60930i | 0.0738738 | − | 0.227360i | ||||
\(412\) | −66.0676 | + | 14.0431i | −3.25492 | + | 0.691854i | ||||
\(413\) | −32.8263 | + | 14.6152i | −1.61527 | + | 0.719167i | ||||
\(414\) | −29.0877 | − | 6.18278i | −1.42958 | − | 0.303867i | ||||
\(415\) | −1.10090 | − | 0.799852i | −0.0540412 | − | 0.0392632i | ||||
\(416\) | 34.9628 | + | 45.4615i | 1.71419 | + | 2.22893i | ||||
\(417\) | 0.512037 | − | 1.57589i | 0.0250746 | − | 0.0771715i | ||||
\(418\) | −0.648246 | − | 6.16765i | −0.0317068 | − | 0.301670i | ||||
\(419\) | 1.41942 | + | 13.5049i | 0.0693433 | + | 0.659757i | 0.972890 | + | 0.231268i | \(0.0742874\pi\) |
−0.903547 | + | 0.428489i | \(0.859046\pi\) | |||||||
\(420\) | 99.5543 | − | 21.1609i | 4.85775 | − | 1.03255i | ||||
\(421\) | −29.5661 | + | 21.4810i | −1.44096 | + | 1.04692i | −0.453121 | + | 0.891449i | \(0.649689\pi\) |
−0.987840 | + | 0.155471i | \(0.950311\pi\) | |||||||
\(422\) | −5.23212 | + | 49.7803i | −0.254695 | + | 2.42327i | ||||
\(423\) | −5.23482 | + | 5.81386i | −0.254526 | + | 0.282680i | ||||
\(424\) | 13.1603 | + | 9.56151i | 0.639120 | + | 0.464348i | ||||
\(425\) | 18.1056 | − | 3.84846i | 0.878251 | − | 0.186678i | ||||
\(426\) | −4.12612 | − | 4.58252i | −0.199911 | − | 0.222024i | ||||
\(427\) | 34.7263 | + | 7.38130i | 1.68052 | + | 0.357206i | ||||
\(428\) | −4.39822 | −0.212596 | ||||||||
\(429\) | −0.686086 | − | 25.1505i | −0.0331245 | − | 1.21428i | ||||
\(430\) | −14.5690 | − | 44.8388i | −0.702581 | − | 2.16232i | ||||
\(431\) | 1.30087 | + | 12.3770i | 0.0626609 | + | 0.596179i | 0.980128 | + | 0.198367i | \(0.0635637\pi\) |
−0.917467 | + | 0.397812i | \(0.869770\pi\) | |||||||
\(432\) | −39.4518 | + | 17.5651i | −1.89813 | + | 0.845101i | ||||
\(433\) | 0.720399 | + | 1.24777i | 0.0346202 | + | 0.0599639i | 0.882816 | − | 0.469718i | \(-0.155645\pi\) |
−0.848196 | + | 0.529682i | \(0.822311\pi\) | |||||||
\(434\) | 7.31373 | − | 48.8489i | 0.351070 | − | 2.34482i | ||||
\(435\) | −3.17255 | − | 5.49501i | −0.152112 | − | 0.263466i | ||||
\(436\) | −0.916985 | + | 8.72453i | −0.0439156 | + | 0.417829i | ||||
\(437\) | 4.76508 | − | 3.46203i | 0.227945 | − | 0.165612i | ||||
\(438\) | 0.408542 | − | 0.453732i | 0.0195209 | − | 0.0216801i | ||||
\(439\) | 7.43263 | − | 12.8737i | 0.354740 | − | 0.614428i | −0.632333 | − | 0.774696i | \(-0.717903\pi\) |
0.987073 | + | 0.160269i | \(0.0512360\pi\) | |||||||
\(440\) | 40.7460 | − | 70.5741i | 1.94249 | − | 3.36449i | ||||
\(441\) | 1.60822 | + | 4.94960i | 0.0765820 | + | 0.235695i | ||||
\(442\) | −39.8904 | + | 37.9375i | −1.89739 | + | 1.80450i | ||||
\(443\) | 1.11279 | − | 3.42482i | 0.0528703 | − | 0.162718i | −0.921135 | − | 0.389243i | \(-0.872737\pi\) |
0.974005 | + | 0.226525i | \(0.0727366\pi\) | |||||||
\(444\) | 66.8788 | − | 29.7763i | 3.17393 | − | 1.41312i | ||||
\(445\) | 34.7967 | + | 7.39626i | 1.64952 | + | 0.350616i | ||||
\(446\) | 1.26793 | − | 12.0636i | 0.0600385 | − | 0.571228i | ||||
\(447\) | −2.32839 | + | 1.69167i | −0.110129 | + | 0.0800134i | ||||
\(448\) | −58.5099 | + | 12.4367i | −2.76433 | + | 0.587577i | ||||
\(449\) | 12.7637 | + | 5.68276i | 0.602355 | + | 0.268186i | 0.685175 | − | 0.728379i | \(-0.259726\pi\) |
−0.0828194 | + | 0.996565i | \(0.526392\pi\) | |||||||
\(450\) | 9.12670 | − | 6.63093i | 0.430237 | − | 0.312585i | ||||
\(451\) | 22.9566 | − | 4.87957i | 1.08098 | − | 0.229770i | ||||
\(452\) | −1.87368 | − | 17.8268i | −0.0881303 | − | 0.838504i | ||||
\(453\) | −8.35306 | + | 3.71902i | −0.392461 | + | 0.174735i | ||||
\(454\) | −23.0663 | − | 70.9908i | −1.08256 | − | 3.33176i | ||||
\(455\) | −19.4159 | + | 28.3165i | −0.910232 | + | 1.32750i | ||||
\(456\) | −3.72512 | + | 11.4648i | −0.174445 | + | 0.536886i | ||||
\(457\) | 18.7374 | + | 20.8100i | 0.876498 | + | 0.973450i | 0.999821 | − | 0.0189170i | \(-0.00602183\pi\) |
−0.123323 | + | 0.992367i | \(0.539355\pi\) | |||||||
\(458\) | 76.5718 | + | 16.2758i | 3.57796 | + | 0.760520i | ||||
\(459\) | −10.0581 | − | 17.4211i | −0.469472 | − | 0.813149i | ||||
\(460\) | 126.477 | 5.89701 | ||||||||
\(461\) | 0.825591 | − | 0.916911i | 0.0384516 | − | 0.0427048i | −0.723612 | − | 0.690207i | \(-0.757520\pi\) |
0.762064 | + | 0.647502i | \(0.224186\pi\) | |||||||
\(462\) | 56.5529 | + | 25.1790i | 2.63108 | + | 1.17143i | ||||
\(463\) | −10.5784 | − | 7.68563i | −0.491618 | − | 0.357182i | 0.314188 | − | 0.949361i | \(-0.398268\pi\) |
−0.805806 | + | 0.592179i | \(0.798268\pi\) | |||||||
\(464\) | 6.52995 | + | 11.3102i | 0.303145 | + | 0.525063i | ||||
\(465\) | −8.85053 | − | 31.9468i | −0.410433 | − | 1.48150i | ||||
\(466\) | −16.9137 | + | 29.2954i | −0.783512 | + | 1.35708i | ||||
\(467\) | −32.6590 | − | 23.7282i | −1.51128 | − | 1.09801i | −0.965606 | − | 0.260009i | \(-0.916274\pi\) |
−0.545672 | − | 0.837999i | \(-0.683726\pi\) | |||||||
\(468\) | −9.22550 | + | 22.3413i | −0.426449 | + | 1.03273i | ||||
\(469\) | 2.74870 | + | 8.45964i | 0.126923 | + | 0.390630i | ||||
\(470\) | 23.0926 | − | 39.9976i | 1.06518 | − | 1.84495i | ||||
\(471\) | 6.52684 | − | 11.3048i | 0.300741 | − | 0.520898i | ||||
\(472\) | 61.1509 | − | 67.9149i | 2.81470 | − | 3.12604i | ||||
\(473\) | 6.38399 | − | 19.6479i | 0.293536 | − | 0.903411i | ||||
\(474\) | −27.6903 | + | 5.88576i | −1.27186 | + | 0.270342i | ||||
\(475\) | −0.233560 | + | 2.22217i | −0.0107165 | + | 0.101960i | ||||
\(476\) | −30.1543 | − | 92.8052i | −1.38212 | − | 4.25372i | ||||
\(477\) | −0.262190 | + | 2.49457i | −0.0120048 | + | 0.114218i | ||||
\(478\) | 2.83780 | + | 26.9999i | 0.129798 | + | 1.23495i | ||||
\(479\) | 16.3035 | + | 18.1069i | 0.744928 | + | 0.827326i | 0.989835 | − | 0.142221i | \(-0.0454242\pi\) |
−0.244907 | + | 0.969546i | \(0.578758\pi\) | |||||||
\(480\) | −76.6181 | + | 55.6663i | −3.49712 | + | 2.54081i | ||||
\(481\) | −9.42574 | + | 22.8263i | −0.429777 | + | 1.04079i | ||||
\(482\) | 5.07887 | − | 15.6312i | 0.231336 | − | 0.711980i | ||||
\(483\) | 6.14563 | + | 58.4718i | 0.279636 | + | 2.66056i | ||||
\(484\) | 1.51690 | − | 0.675369i | 0.0689502 | − | 0.0306986i | ||||
\(485\) | −29.4086 | + | 32.6615i | −1.33538 | + | 1.48308i | ||||
\(486\) | −27.4297 | − | 19.9288i | −1.24423 | − | 0.903990i | ||||
\(487\) | 13.6919 | − | 2.91031i | 0.620441 | − | 0.131879i | 0.113042 | − | 0.993590i | \(-0.463941\pi\) |
0.507399 | + | 0.861711i | \(0.330607\pi\) | |||||||
\(488\) | −88.3199 | + | 18.7730i | −3.99806 | + | 0.849813i | ||||
\(489\) | −10.3554 | − | 31.8707i | −0.468288 | − | 1.44124i | ||||
\(490\) | −15.3619 | − | 26.6077i | −0.693982 | − | 1.20201i | ||||
\(491\) | 8.19549 | − | 14.1950i | 0.369857 | − | 0.640612i | −0.619686 | − | 0.784850i | \(-0.712740\pi\) |
0.989543 | + | 0.144238i | \(0.0460732\pi\) | |||||||
\(492\) | −72.9204 | − | 15.4997i | −3.28750 | − | 0.698781i | ||||
\(493\) | −4.92160 | + | 3.57575i | −0.221658 | + | 0.161044i | ||||
\(494\) | −2.86741 | − | 5.99479i | −0.129011 | − | 0.269718i | ||||
\(495\) | 12.5657 | 0.564788 | ||||||||
\(496\) | 18.2168 | + | 65.7550i | 0.817956 | + | 2.95249i | ||||
\(497\) | −1.84364 | + | 3.19327i | −0.0826984 | + | 0.143238i | ||||
\(498\) | −0.274812 | + | 2.61466i | −0.0123146 | + | 0.117166i | ||||
\(499\) | 10.9380 | − | 7.94694i | 0.489653 | − | 0.355754i | −0.315398 | − | 0.948960i | \(-0.602138\pi\) |
0.805051 | + | 0.593206i | \(0.202138\pi\) | |||||||
\(500\) | 17.3999 | − | 19.3246i | 0.778148 | − | 0.864221i | ||||
\(501\) | 20.7886 | + | 36.0069i | 0.928766 | + | 1.60867i | ||||
\(502\) | −59.6400 | −2.66186 | ||||||||
\(503\) | −23.8977 | + | 26.5411i | −1.06555 | + | 1.18341i | −0.0831611 | + | 0.996536i | \(0.526502\pi\) |
−0.982384 | + | 0.186872i | \(0.940165\pi\) | |||||||
\(504\) | −24.3521 | − | 27.0457i | −1.08473 | − | 1.20471i | ||||
\(505\) | −20.5038 | − | 22.7717i | −0.912405 | − | 1.01333i | ||||
\(506\) | 62.2353 | + | 45.2166i | 2.76670 | + | 2.01012i | ||||
\(507\) | −9.71646 | − | 25.1479i | −0.431523 | − | 1.11686i | ||||
\(508\) | −18.8236 | − | 13.6761i | −0.835161 | − | 0.606780i | ||||
\(509\) | 0.935736 | + | 8.90293i | 0.0414757 | + | 0.394615i | 0.995491 | + | 0.0948570i | \(0.0302394\pi\) |
−0.954015 | + | 0.299758i | \(0.903094\pi\) | |||||||
\(510\) | −60.8275 | − | 67.5558i | −2.69349 | − | 2.99142i | ||||
\(511\) | −0.333526 | − | 0.148496i | −0.0147543 | − | 0.00656905i | ||||
\(512\) | −9.56665 | + | 6.95058i | −0.422790 | + | 0.307175i | ||||
\(513\) | 2.37523 | − | 0.504870i | 0.104869 | − | 0.0222906i | ||||
\(514\) | −65.6867 | − | 29.2456i | −2.89732 | − | 1.28997i | ||||
\(515\) | 30.4396 | + | 22.1157i | 1.34133 | + | 0.974533i | ||||
\(516\) | −43.9099 | + | 48.7669i | −1.93302 | + | 2.14684i | ||||
\(517\) | 18.4882 | − | 8.23149i | 0.813112 | − | 0.362021i | ||||
\(518\) | −40.6584 | − | 45.1557i | −1.78643 | − | 1.98403i | ||||
\(519\) | −6.43032 | + | 19.7905i | −0.282260 | + | 0.868706i | ||||
\(520\) | 15.8193 | − | 85.8767i | 0.693721 | − | 3.76594i | ||||
\(521\) | −11.9399 | −0.523095 | −0.261547 | − | 0.965191i | \(-0.584233\pi\) | ||||
−0.261547 | + | 0.965191i | \(0.584233\pi\) | |||||||
\(522\) | −1.85381 | + | 3.21090i | −0.0811392 | + | 0.140537i | ||||
\(523\) | 6.78367 | + | 1.44191i | 0.296629 | + | 0.0630505i | 0.353822 | − | 0.935313i | \(-0.384882\pi\) |
−0.0571930 | + | 0.998363i | \(0.518215\pi\) | |||||||
\(524\) | 71.6348 | + | 31.8939i | 3.12938 | + | 1.39329i | ||||
\(525\) | −18.0443 | − | 13.1100i | −0.787518 | − | 0.572166i | ||||
\(526\) | −2.18718 | − | 3.78830i | −0.0953654 | − | 0.165178i | ||||
\(527\) | −29.5746 | + | 11.6407i | −1.28829 | + | 0.507077i | ||||
\(528\) | −85.5150 | −3.72156 | ||||||||
\(529\) | −5.23282 | + | 49.7869i | −0.227514 | + | 2.16465i | ||||
\(530\) | −1.54785 | − | 14.7268i | −0.0672342 | − | 0.639691i | ||||
\(531\) | 13.7838 | + | 2.92984i | 0.598167 | + | 0.127144i | ||||
\(532\) | 11.7793 | 0.510699 | ||||||||
\(533\) | 21.4281 | − | 13.1634i | 0.928155 | − | 0.570170i | ||||
\(534\) | −21.2386 | − | 65.3657i | −0.919085 | − | 2.82865i | ||||
\(535\) | 1.63940 | + | 1.82074i | 0.0708775 | + | 0.0787174i | ||||
\(536\) | −15.1376 | − | 16.8120i | −0.653845 | − | 0.726168i | ||||
\(537\) | 3.40588 | − | 32.4048i | 0.146974 | − | 1.39837i | ||||
\(538\) | −11.0500 | − | 34.0085i | −0.476401 | − | 1.46621i | ||||
\(539\) | 1.40725 | − | 13.3891i | 0.0606147 | − | 0.576711i | ||||
\(540\) | 47.6353 | + | 21.2086i | 2.04990 | + | 0.912672i | ||||
\(541\) | −6.43577 | + | 19.8073i | −0.276695 | + | 0.851581i | 0.712071 | + | 0.702108i | \(0.247758\pi\) |
−0.988766 | + | 0.149473i | \(0.952242\pi\) | |||||||
\(542\) | 37.0921 | + | 16.5145i | 1.59324 | + | 0.709358i | ||||
\(543\) | −2.28272 | − | 21.7186i | −0.0979608 | − | 0.932035i | ||||
\(544\) | 60.7568 | + | 67.4773i | 2.60493 | + | 2.89306i | ||||
\(545\) | 3.95351 | − | 2.87239i | 0.169350 | − | 0.123040i | ||||
\(546\) | 66.1344 | + | 5.13220i | 2.83029 | + | 0.219638i | ||||
\(547\) | 14.3630 | + | 44.2048i | 0.614118 | + | 1.89006i | 0.413948 | + | 0.910300i | \(0.364149\pi\) |
0.200170 | + | 0.979761i | \(0.435851\pi\) | |||||||
\(548\) | 11.0033 | − | 4.89898i | 0.470037 | − | 0.209274i | ||||
\(549\) | −9.31620 | − | 10.3467i | −0.397606 | − | 0.441586i | ||||
\(550\) | −28.5453 | + | 6.06749i | −1.21718 | + | 0.258719i | ||||
\(551\) | −0.226927 | − | 0.698409i | −0.00966740 | − | 0.0297532i | ||||
\(552\) | −74.7657 | − | 129.498i | −3.18224 | − | 5.51180i | ||||
\(553\) | 8.46385 | + | 14.6598i | 0.359920 | + | 0.623399i | ||||
\(554\) | −3.30175 | − | 10.1617i | −0.140278 | − | 0.431731i | ||||
\(555\) | −37.2551 | − | 16.5870i | −1.58139 | − | 0.704080i | ||||
\(556\) | 3.76194 | − | 1.67493i | 0.159542 | − | 0.0710327i | ||||
\(557\) | 8.29570 | − | 14.3686i | 0.351500 | − | 0.608816i | −0.635012 | − | 0.772502i | \(-0.719005\pi\) |
0.986513 | + | 0.163686i | \(0.0523383\pi\) | |||||||
\(558\) | −13.5807 | + | 13.8125i | −0.574916 | + | 0.584729i | ||||
\(559\) | −0.603652 | − | 22.1286i | −0.0255318 | − | 0.935942i | ||||
\(560\) | 94.4088 | + | 68.5920i | 3.98950 | + | 2.89854i | ||||
\(561\) | −4.16376 | − | 39.6155i | −0.175794 | − | 1.67257i | ||||
\(562\) | −6.32506 | − | 1.34443i | −0.266806 | − | 0.0567114i | ||||
\(563\) | 11.8399 | + | 20.5072i | 0.498990 | + | 0.864276i | 0.999999 | − | 0.00116562i | \(-0.000371027\pi\) |
−0.501009 | + | 0.865442i | \(0.667038\pi\) | |||||||
\(564\) | −64.2846 | −2.70687 | ||||||||
\(565\) | −6.68141 | + | 7.42046i | −0.281089 | + | 0.312181i | ||||
\(566\) | −7.73880 | + | 1.64493i | −0.325286 | + | 0.0691416i | ||||
\(567\) | −11.4899 | + | 35.3623i | −0.482531 | + | 1.48508i | ||||
\(568\) | 0.980258 | − | 9.32653i | 0.0411307 | − | 0.391332i | ||||
\(569\) | 15.6821 | + | 3.33333i | 0.657427 | + | 0.139740i | 0.524533 | − | 0.851390i | \(-0.324240\pi\) |
0.132893 | + | 0.991130i | \(0.457573\pi\) | |||||||
\(570\) | 10.0248 | − | 4.46332i | 0.419891 | − | 0.186948i | ||||
\(571\) | 9.30999 | − | 6.76410i | 0.389611 | − | 0.283069i | −0.375685 | − | 0.926747i | \(-0.622593\pi\) |
0.765296 | + | 0.643679i | \(0.222593\pi\) | |||||||
\(572\) | 45.3089 | − | 43.0907i | 1.89446 | − | 1.80171i | ||||
\(573\) | −17.4779 | + | 12.6984i | −0.730150 | + | 0.530485i | ||||
\(574\) | 6.46786 | + | 61.5375i | 0.269963 | + | 2.56853i | ||||
\(575\) | −18.5459 | − | 20.5973i | −0.773418 | − | 0.858968i | ||||
\(576\) | 21.4303 | + | 9.54141i | 0.892931 | + | 0.397559i | ||||
\(577\) | 3.90551 | + | 2.83752i | 0.162588 | + | 0.118127i | 0.666104 | − | 0.745859i | \(-0.267961\pi\) |
−0.503516 | + | 0.863986i | \(0.667961\pi\) | |||||||
\(578\) | −27.8941 | + | 30.9795i | −1.16024 | + | 1.28858i | ||||
\(579\) | −3.54413 | + | 33.7202i | −0.147289 | + | 1.40136i | ||||
\(580\) | 4.87286 | − | 14.9971i | 0.202334 | − | 0.622721i | ||||
\(581\) | 1.53773 | − | 0.326855i | 0.0637958 | − | 0.0135602i | ||||
\(582\) | 83.0574 | + | 17.6544i | 3.44284 | + | 0.731798i | ||||
\(583\) | 3.24433 | − | 5.61935i | 0.134367 | − | 0.232730i | ||||
\(584\) | 0.928540 | 0.0384232 | ||||||||
\(585\) | 12.6874 | − | 4.50845i | 0.524560 | − | 0.186402i | ||||
\(586\) | 5.92385 | − | 4.30393i | 0.244712 | − | 0.177794i | ||||
\(587\) | −29.8048 | + | 13.2700i | −1.23018 | + | 0.547710i | −0.915818 | − | 0.401594i | \(-0.868456\pi\) |
−0.314359 | + | 0.949304i | \(0.601790\pi\) | |||||||
\(588\) | −21.3821 | + | 37.0348i | −0.881781 | + | 1.52729i | ||||
\(589\) | −0.233208 | − | 3.82954i | −0.00960916 | − | 0.157793i | ||||
\(590\) | −83.1913 | −3.42493 | ||||||||
\(591\) | −0.286013 | + | 2.72123i | −0.0117650 | + | 0.111937i | ||||
\(592\) | 76.6809 | + | 34.1406i | 3.15157 | + | 1.40317i | ||||
\(593\) | −7.54965 | − | 23.2354i | −0.310027 | − | 0.954165i | −0.977753 | − | 0.209758i | \(-0.932732\pi\) |
0.667726 | − | 0.744407i | \(-0.267268\pi\) | |||||||
\(594\) | 15.8576 | + | 27.4662i | 0.650645 | + | 1.12695i | ||||
\(595\) | −27.1790 | + | 47.0754i | −1.11423 | + | 1.92990i | ||||
\(596\) | −6.99626 | − | 1.48710i | −0.286578 | − | 0.0609140i | ||||
\(597\) | 9.22186 | − | 28.3820i | 0.377426 | − | 1.16160i | ||||
\(598\) | 79.0612 | + | 23.3251i | 3.23305 | + | 0.953833i | ||||
\(599\) | −7.99423 | − | 5.80814i | −0.326635 | − | 0.237314i | 0.412366 | − | 0.911018i | \(-0.364702\pi\) |
−0.739002 | + | 0.673704i | \(0.764702\pi\) | |||||||
\(600\) | 55.4865 | + | 11.7940i | 2.26523 | + | 0.481489i | ||||
\(601\) | 7.85478 | − | 3.49717i | 0.320403 | − | 0.142653i | −0.240232 | − | 0.970715i | \(-0.577224\pi\) |
0.560635 | + | 0.828063i | \(0.310557\pi\) | |||||||
\(602\) | 49.7580 | + | 22.1537i | 2.02798 | + | 0.902917i | ||||
\(603\) | 1.07796 | − | 3.31761i | 0.0438978 | − | 0.135104i | ||||
\(604\) | −20.7591 | − | 9.24256i | −0.844677 | − | 0.376074i | ||||
\(605\) | −0.844998 | − | 0.376217i | −0.0343540 | − | 0.0152954i | ||||
\(606\) | −18.2943 | + | 56.3040i | −0.743155 | + | 2.28719i | ||||
\(607\) | 28.5228 | + | 12.6992i | 1.15770 | + | 0.515443i | 0.893517 | − | 0.449029i | \(-0.148230\pi\) |
0.264186 | + | 0.964472i | \(0.414897\pi\) | |||||||
\(608\) | −10.0131 | + | 4.45813i | −0.406085 | + | 0.180801i | ||||
\(609\) | 7.17013 | + | 1.52406i | 0.290548 | + | 0.0617579i | ||||
\(610\) | 66.4964 | + | 48.3125i | 2.69236 | + | 1.95611i | ||||
\(611\) | 15.7139 | − | 14.9446i | 0.635716 | − | 0.604593i | ||||
\(612\) | −11.8256 | + | 36.3954i | −0.478021 | + | 1.47120i | ||||
\(613\) | −26.1460 | − | 5.55751i | −1.05603 | − | 0.224466i | −0.352997 | − | 0.935624i | \(-0.614837\pi\) |
−0.703032 | + | 0.711158i | \(0.748171\pi\) | |||||||
\(614\) | −38.4729 | + | 66.6371i | −1.55264 | + | 2.68925i | ||||
\(615\) | 20.7640 | + | 35.9644i | 0.837287 | + | 1.45022i | ||||
\(616\) | 29.0925 | + | 89.5376i | 1.17217 | + | 3.60757i | ||||
\(617\) | −32.4599 | − | 14.4521i | −1.30679 | − | 0.581819i | −0.369129 | − | 0.929378i | \(-0.620344\pi\) |
−0.937658 | + | 0.347559i | \(0.887011\pi\) | |||||||
\(618\) | 7.59848 | − | 72.2947i | 0.305656 | − | 2.90812i | ||||
\(619\) | 35.1651 | 1.41340 | 0.706702 | − | 0.707512i | \(-0.250182\pi\) | ||||
0.706702 | + | 0.707512i | \(0.250182\pi\) | |||||||
\(620\) | 44.2838 | − | 69.4711i | 1.77848 | − | 2.79003i | ||||
\(621\) | −15.0607 | + | 26.0859i | −0.604364 | + | 1.04679i | ||||
\(622\) | −32.9326 | + | 14.6625i | −1.32048 | + | 0.587914i | ||||
\(623\) | −33.2488 | + | 24.1566i | −1.33208 | + | 0.967816i | ||||
\(624\) | −86.3430 | + | 30.6819i | −3.45649 | + | 1.22826i | ||||
\(625\) | −30.6985 | −1.22794 | ||||||||
\(626\) | 42.2396 | − | 73.1611i | 1.68823 | − | 2.92411i | ||||
\(627\) | 4.70338 | + | 0.999735i | 0.187835 | + | 0.0399256i | ||||
\(628\) | 31.7322 | − | 6.74489i | 1.26625 | − | 0.269151i | ||||
\(629\) | −12.0823 | + | 37.1854i | −0.481751 | + | 1.48268i | ||||
\(630\) | −3.46294 | + | 32.9477i | −0.137967 | + | 1.31267i | ||||
\(631\) | 27.1628 | − | 30.1674i | 1.08133 | − | 1.20094i | 0.102834 | − | 0.994698i | \(-0.467209\pi\) |
0.978500 | − | 0.206245i | \(-0.0661245\pi\) | |||||||
\(632\) | −34.8302 | − | 25.3056i | −1.38547 | − | 1.00660i | ||||
\(633\) | −35.4547 | − | 15.7854i | −1.40920 | − | 0.627415i | ||||
\(634\) | −17.2344 | − | 19.1407i | −0.684465 | − | 0.760176i | ||||
\(635\) | 1.35480 | + | 12.8901i | 0.0537637 | + | 0.511527i | ||||
\(636\) | −16.6746 | + | 12.1148i | −0.661190 | + | 0.480382i | ||||
\(637\) | −3.38300 | − | 14.0237i | −0.134039 | − | 0.555638i | ||||
\(638\) | 7.75939 | − | 5.63753i | 0.307197 | − | 0.223192i | ||||
\(639\) | 1.32102 | − | 0.588156i | 0.0522587 | − | 0.0232671i | ||||
\(640\) | −46.1235 | − | 9.80385i | −1.82319 | − | 0.387531i | ||||
\(641\) | 2.24085 | − | 21.3202i | 0.0885081 | − | 0.842099i | −0.856741 | − | 0.515748i | \(-0.827514\pi\) |
0.945249 | − | 0.326351i | \(-0.105819\pi\) | |||||||
\(642\) | 1.46274 | − | 4.50185i | 0.0577297 | − | 0.177674i | ||||
\(643\) | −7.59012 | + | 1.61333i | −0.299325 | + | 0.0636235i | −0.355126 | − | 0.934818i | \(-0.615562\pi\) |
0.0558010 | + | 0.998442i | \(0.482229\pi\) | |||||||
\(644\) | −97.7701 | + | 108.585i | −3.85268 | + | 4.27884i | ||||
\(645\) | 36.5552 | 1.43936 | ||||||||
\(646\) | −5.26047 | − | 9.11140i | −0.206970 | − | 0.358483i | ||||
\(647\) | −20.2591 | − | 4.30620i | −0.796467 | − | 0.169294i | −0.208333 | − | 0.978058i | \(-0.566804\pi\) |
−0.588134 | + | 0.808764i | \(0.700137\pi\) | |||||||
\(648\) | −9.88483 | − | 94.0478i | −0.388313 | − | 3.69455i | ||||
\(649\) | −29.4915 | − | 21.4268i | −1.15764 | − | 0.841077i | ||||
\(650\) | −26.6447 | + | 16.3680i | −1.04509 | + | 0.642005i | ||||
\(651\) | 34.2691 | + | 17.0973i | 1.34311 | + | 0.670095i | ||||
\(652\) | 41.6407 | − | 72.1238i | 1.63078 | − | 2.82459i | ||||
\(653\) | −17.2435 | + | 7.67728i | −0.674789 | + | 0.300435i | −0.715375 | − | 0.698741i | \(-0.753744\pi\) |
0.0405864 | + | 0.999176i | \(0.487077\pi\) | |||||||
\(654\) | −8.62512 | − | 3.84015i | −0.337269 | − | 0.150162i | ||||
\(655\) | −13.4981 | − | 41.5430i | −0.527416 | − | 1.62322i | ||||
\(656\) | −42.7379 | − | 74.0243i | −1.66864 | − | 2.89016i | ||||
\(657\) | 0.0715886 | + | 0.123995i | 0.00279294 | + | 0.00483751i | ||||
\(658\) | 16.4881 | + | 50.7452i | 0.642773 | + | 1.97825i | ||||
\(659\) | 2.90119 | − | 0.616666i | 0.113014 | − | 0.0240219i | −0.151057 | − | 0.988525i | \(-0.548268\pi\) |
0.264072 | + | 0.964503i | \(0.414934\pi\) | |||||||
\(660\) | 69.0899 | + | 76.7321i | 2.68932 | + | 2.98679i | ||||
\(661\) | −5.68495 | + | 2.53110i | −0.221119 | + | 0.0984484i | −0.514306 | − | 0.857606i | \(-0.671951\pi\) |
0.293188 | + | 0.956055i | \(0.405284\pi\) | |||||||
\(662\) | −8.08720 | − | 24.8898i | −0.314318 | − | 0.967371i | ||||
\(663\) | −18.4177 | − | 38.5052i | −0.715284 | − | 1.49542i | ||||
\(664\) | −3.23470 | + | 2.35015i | −0.125531 | + | 0.0912034i | ||||
\(665\) | −4.39066 | − | 4.87632i | −0.170262 | − | 0.189095i | ||||
\(666\) | 2.49085 | + | 23.6989i | 0.0965186 | + | 0.918313i | ||||
\(667\) | 8.32161 | + | 3.70502i | 0.322214 | + | 0.143459i | ||||
\(668\) | −31.9302 | + | 98.2709i | −1.23541 | + | 3.80222i | ||||
\(669\) | 8.59198 | + | 3.82539i | 0.332185 | + | 0.147898i | ||||
\(670\) | −2.15262 | + | 20.4808i | −0.0831628 | + | 0.791241i | ||||
\(671\) | 11.1297 | + | 34.2538i | 0.429658 | + | 1.32235i | ||||
\(672\) | 11.4365 | − | 108.811i | 0.441172 | − | 4.19747i | ||||
\(673\) | −17.6984 | − | 19.6561i | −0.682223 | − | 0.757686i | 0.298218 | − | 0.954498i | \(-0.403608\pi\) |
−0.980441 | + | 0.196812i | \(0.936941\pi\) | |||||||
\(674\) | 28.2710 | + | 31.3982i | 1.08896 | + | 1.20941i | ||||
\(675\) | −3.53108 | − | 10.8676i | −0.135911 | − | 0.418292i | ||||
\(676\) | 30.2871 | − | 59.7642i | 1.16489 | − | 2.29862i | ||||
\(677\) | −7.80121 | −0.299825 | −0.149912 | − | 0.988699i | \(-0.547899\pi\) | ||||
−0.149912 | + | 0.988699i | \(0.547899\pi\) | |||||||
\(678\) | 18.8700 | + | 4.01095i | 0.724698 | + | 0.154039i | ||||
\(679\) | −5.30741 | − | 50.4966i | −0.203680 | − | 1.93788i | ||||
\(680\) | 14.4510 | − | 137.492i | 0.554171 | − | 5.27259i | ||||
\(681\) | 57.8757 | 2.21780 | ||||||||
\(682\) | 46.6273 | − | 18.3527i | 1.78545 | − | 0.702762i | ||||
\(683\) | −15.8262 | − | 27.4117i | −0.605572 | − | 1.04888i | −0.991961 | − | 0.126545i | \(-0.959611\pi\) |
0.386389 | − | 0.922336i | \(-0.373722\pi\) | |||||||
\(684\) | −3.73725 | − | 2.71527i | −0.142898 | − | 0.103821i | ||||
\(685\) | −6.12942 | − | 2.72899i | −0.234193 | − | 0.104270i | ||||
\(686\) | −26.0233 | − | 5.53143i | −0.993575 | − | 0.211191i | ||||
\(687\) | −30.3483 | + | 52.5649i | −1.15786 | + | 2.00547i | ||||
\(688\) | −75.2403 | −2.86851 | ||||||||
\(689\) | 1.25958 | − | 6.83779i | 0.0479863 | − | 0.260499i | ||||
\(690\) | −42.0630 | + | 129.457i | −1.60131 | + | 4.92833i | ||||
\(691\) | −15.3630 | − | 17.0623i | −0.584435 | − | 0.649081i | 0.376317 | − | 0.926491i | \(-0.377190\pi\) |
−0.960751 | + | 0.277411i | \(0.910524\pi\) | |||||||
\(692\) | −47.2437 | + | 21.0342i | −1.79594 | + | 0.799602i | ||||
\(693\) | −9.71367 | + | 10.7881i | −0.368992 | + | 0.409807i | ||||
\(694\) | 43.9071 | + | 31.9003i | 1.66669 | + | 1.21092i | ||||
\(695\) | −2.09561 | − | 0.933024i | −0.0794909 | − | 0.0353916i | ||||
\(696\) | −18.2359 | + | 3.87616i | −0.691230 | + | 0.146926i | ||||
\(697\) | 32.2114 | − | 23.4030i | 1.22009 | − | 0.886450i | ||||
\(698\) | −18.6931 | − | 8.32270i | −0.707544 | − | 0.315019i | ||||
\(699\) | −17.5501 | − | 19.4914i | −0.663806 | − | 0.737232i | ||||
\(700\) | −5.79403 | − | 55.1265i | −0.218994 | − | 2.08359i | ||||
\(701\) | −9.11515 | − | 6.62255i | −0.344275 | − | 0.250130i | 0.402189 | − | 0.915557i | \(-0.368250\pi\) |
−0.746463 | + | 0.665427i | \(0.768250\pi\) | |||||||
\(702\) | 25.8657 | + | 22.0426i | 0.976238 | + | 0.831943i | ||||
\(703\) | −3.81837 | − | 2.77421i | −0.144013 | − | 0.104631i | ||||
\(704\) | −40.6054 | − | 45.0969i | −1.53037 | − | 1.69965i | ||||
\(705\) | 23.9616 | + | 26.6120i | 0.902445 | + | 1.00227i | ||||
\(706\) | −59.1294 | + | 65.6698i | −2.22536 | + | 2.47152i | ||||
\(707\) | 35.4003 | 1.33137 | ||||||||
\(708\) | 57.8963 | + | 100.279i | 2.17588 | + | 3.76873i | ||||
\(709\) | 17.4215 | − | 19.3486i | 0.654280 | − | 0.726651i | −0.321134 | − | 0.947034i | \(-0.604064\pi\) |
0.975413 | + | 0.220383i | \(0.0707306\pi\) | |||||||
\(710\) | −6.90636 | + | 5.01777i | −0.259191 | + | 0.188313i | ||||
\(711\) | 0.693915 | − | 6.60216i | 0.0260239 | − | 0.247600i | ||||
\(712\) | 52.2623 | − | 90.5210i | 1.95861 | − | 3.39242i | ||||
\(713\) | 37.2372 | + | 29.6359i | 1.39454 | + | 1.10987i | ||||
\(714\) | 105.020 | 3.93029 | ||||||||
\(715\) | −34.7268 | − | 2.69489i | −1.29871 | − | 0.100783i | ||||
\(716\) | 65.5112 | − | 47.5967i | 2.44827 | − | 1.77877i | ||||
\(717\) | −20.5898 | − | 4.37650i | −0.768941 | − | 0.163444i | ||||
\(718\) | −30.7678 | + | 53.2913i | −1.14824 | + | 1.98881i | ||||
\(719\) | 15.6918 | + | 27.1791i | 0.585207 | + | 1.01361i | 0.994850 | + | 0.101362i | \(0.0323201\pi\) |
−0.409643 | + | 0.912246i | \(0.634347\pi\) | |||||||
\(720\) | −14.1420 | − | 43.5246i | −0.527042 | − | 1.62207i | ||||
\(721\) | −42.5178 | + | 9.03743i | −1.58344 | + | 0.336572i | ||||
\(722\) | −48.4661 | + | 10.3018i | −1.80372 | + | 0.383392i | ||||
\(723\) | 10.3096 | + | 7.49038i | 0.383419 | + | 0.278570i | ||||
\(724\) | 36.3155 | − | 40.3325i | 1.34966 | − | 1.49894i | ||||
\(725\) | −3.15688 | + | 1.40553i | −0.117244 | + | 0.0522002i | ||||
\(726\) | 0.186797 | + | 1.77726i | 0.00693270 | + | 0.0659602i | ||||
\(727\) | −8.62989 | + | 26.5601i | −0.320065 | + | 0.985058i | 0.653554 | + | 0.756879i | \(0.273277\pi\) |
−0.973619 | + | 0.228179i | \(0.926723\pi\) | |||||||
\(728\) | 61.4994 | + | 79.9665i | 2.27932 | + | 2.96376i | ||||
\(729\) | −5.94023 | + | 4.31583i | −0.220009 | + | 0.159846i | ||||
\(730\) | −0.565584 | − | 0.628145i | −0.0209332 | − | 0.0232487i | ||||
\(731\) | −3.66348 | − | 34.8557i | −0.135499 | − | 1.28918i | ||||
\(732\) | 11.9585 | − | 113.778i | 0.442000 | − | 4.20535i | ||||
\(733\) | 11.5251 | + | 35.4706i | 0.425689 | + | 1.31014i | 0.902333 | + | 0.431039i | \(0.141853\pi\) |
−0.476644 | + | 0.879096i | \(0.658147\pi\) | |||||||
\(734\) | 2.44497 | − | 23.2623i | 0.0902455 | − | 0.858628i | ||||
\(735\) | 23.3014 | − | 4.95286i | 0.859484 | − | 0.182689i | ||||
\(736\) | 42.0141 | − | 129.306i | 1.54866 | − | 4.76629i | ||||
\(737\) | −6.03816 | + | 6.70606i | −0.222418 | + | 0.247021i | ||||
\(738\) | 12.1330 | − | 21.0150i | 0.446623 | − | 0.773574i | ||||
\(739\) | −2.01137 | + | 3.48379i | −0.0739894 | + | 0.128153i | −0.900646 | − | 0.434553i | \(-0.856906\pi\) |
0.826657 | + | 0.562706i | \(0.190240\pi\) | |||||||
\(740\) | −31.3185 | − | 96.3885i | −1.15129 | − | 3.54331i | ||||
\(741\) | 5.10762 | − | 0.678108i | 0.187633 | − | 0.0249109i | ||||
\(742\) | 13.8400 | + | 10.0553i | 0.508082 | + | 0.369143i | ||||
\(743\) | 21.5858 | − | 37.3877i | 0.791905 | − | 1.37162i | −0.132881 | − | 0.991132i | \(-0.542423\pi\) |
0.924786 | − | 0.380488i | \(-0.124244\pi\) | |||||||
\(744\) | −97.3086 | − | 4.27437i | −3.56751 | − | 0.156706i | ||||
\(745\) | 1.99218 | + | 3.45056i | 0.0729878 | + | 0.126419i | ||||
\(746\) | −49.8060 | − | 36.1862i | −1.82353 | − | 1.32487i | ||||
\(747\) | −0.563222 | − | 0.250763i | −0.0206072 | − | 0.00917493i | ||||
\(748\) | 66.2407 | − | 73.5678i | 2.42200 | − | 2.68990i | ||||
\(749\) | −2.83047 | −0.103423 | ||||||||
\(750\) | 13.9931 | + | 24.2368i | 0.510956 | + | 0.885002i | ||||
\(751\) | −15.5994 | − | 3.31576i | −0.569231 | − | 0.120994i | −0.0857001 | − | 0.996321i | \(-0.527313\pi\) |
−0.483531 | + | 0.875327i | \(0.660646\pi\) | |||||||
\(752\) | −49.3193 | − | 54.7746i | −1.79849 | − | 1.99743i | ||||
\(753\) | 14.2896 | − | 43.9789i | 0.520743 | − | 1.60268i | ||||
\(754\) | 5.81184 | − | 8.47610i | 0.211655 | − | 0.308681i | ||||
\(755\) | 3.91164 | + | 12.0388i | 0.142359 | + | 0.438136i | ||||
\(756\) | −55.0317 | + | 24.5017i | −2.00149 | + | 0.891119i | ||||
\(757\) | 1.66385 | + | 15.8305i | 0.0604736 | + | 0.575368i | 0.982241 | + | 0.187624i | \(0.0600788\pi\) |
−0.921767 | + | 0.387744i | \(0.873255\pi\) | |||||||
\(758\) | 42.1920 | − | 8.96818i | 1.53248 | − | 0.325739i | ||||
\(759\) | −48.2545 | + | 35.0589i | −1.75153 | + | 1.27256i | ||||
\(760\) | 15.2458 | + | 6.78785i | 0.553022 | + | 0.246221i | ||||
\(761\) | 29.3251 | − | 6.23323i | 1.06303 | − | 0.225955i | 0.356979 | − | 0.934113i | \(-0.383807\pi\) |
0.706054 | + | 0.708158i | \(0.250474\pi\) | |||||||
\(762\) | 20.2586 | − | 14.7187i | 0.733892 | − | 0.533204i | ||||
\(763\) | −0.590125 | + | 5.61466i | −0.0213640 | + | 0.203264i | ||||
\(764\) | −52.5170 | − | 11.1628i | −1.90000 | − | 0.403857i | ||||
\(765\) | 19.4746 | − | 8.67063i | 0.704104 | − | 0.313487i | ||||
\(766\) | −6.17859 | + | 19.0157i | −0.223241 | + | 0.687067i | ||||
\(767\) | −37.4648 | − | 11.0531i | −1.35278 | − | 0.399103i | ||||
\(768\) | 5.03718 | + | 15.5028i | 0.181764 | + | 0.559411i | ||||
\(769\) | −19.1193 | + | 33.1156i | −0.689460 | + | 1.19418i | 0.282552 | + | 0.959252i | \(0.408819\pi\) |
−0.972013 | + | 0.234928i | \(0.924514\pi\) | |||||||
\(770\) | 42.8504 | − | 74.2191i | 1.54422 | − | 2.67467i | ||||
\(771\) | 37.3043 | − | 41.4306i | 1.34348 | − | 1.49209i | ||||
\(772\) | −68.1705 | + | 49.5288i | −2.45351 | + | 1.78258i | ||||
\(773\) | −3.86703 | + | 36.7923i | −0.139087 | + | 1.32333i | 0.672935 | + | 0.739701i | \(0.265033\pi\) |
−0.812023 | + | 0.583626i | \(0.801633\pi\) | |||||||
\(774\) | −10.6801 | − | 18.4985i | −0.383889 | − | 0.664916i | ||||
\(775\) | −17.8073 | + | 2.97507i | −0.639655 | + | 0.106868i | ||||
\(776\) | 64.5681 | + | 111.835i | 2.31786 | + | 4.01465i | ||||
\(777\) | 43.0398 | − | 19.1626i | 1.54404 | − | 0.687453i | ||||
\(778\) | −1.87463 | − | 17.8359i | −0.0672088 | − | 0.639449i | ||||
\(779\) | 1.48522 | + | 4.57102i | 0.0532134 | + | 0.163774i | ||||
\(780\) | 97.2896 | + | 52.6864i | 3.48353 | + | 1.88648i | ||||
\(781\) | −3.74070 | −0.133853 | ||||||||
\(782\) | 127.654 | + | 27.1336i | 4.56488 | + | 0.970296i | ||||
\(783\) | 2.51291 | + | 2.79086i | 0.0898039 | + | 0.0997374i | ||||
\(784\) | −47.9604 | + | 10.1943i | −1.71287 | + | 0.364082i | ||||
\(785\) | −14.6201 | − | 10.6221i | −0.521815 | − | 0.379121i | ||||
\(786\) | −56.4693 | + | 62.7155i | −2.01419 | + | 2.23699i | ||||
\(787\) | −4.46905 | + | 42.5202i | −0.159305 | + | 1.51568i | 0.564360 | + | 0.825529i | \(0.309123\pi\) |
−0.723664 | + | 0.690152i | \(0.757543\pi\) | |||||||
\(788\) | −5.50139 | + | 3.99699i | −0.195979 | + | 0.142387i | ||||
\(789\) | 3.31756 | − | 0.705169i | 0.118108 | − | 0.0251047i | ||||
\(790\) | 4.09656 | + | 38.9761i | 0.145749 | + | 1.38671i | ||||
\(791\) | −1.20580 | − | 11.4725i | −0.0428734 | − | 0.407914i | ||||
\(792\) | 11.4092 | − | 35.1139i | 0.405408 | − | 1.24772i | ||||
\(793\) | 23.5274 | + | 30.5922i | 0.835482 | + | 1.08636i | ||||
\(794\) | −18.0803 | − | 13.1361i | −0.641647 | − | 0.466184i | ||||
\(795\) | 11.2305 | + | 2.38711i | 0.398304 | + | 0.0846622i | ||||
\(796\) | 67.7532 | − | 30.1657i | 2.40145 | − | 1.06919i | ||||
\(797\) | 45.2590 | − | 9.62010i | 1.60316 | − | 0.340761i | 0.682424 | − | 0.730957i | \(-0.260926\pi\) |
0.920732 | + | 0.390195i | \(0.127593\pi\) | |||||||
\(798\) | −3.91752 | + | 12.0569i | −0.138679 | + | 0.426809i | ||||
\(799\) | 22.9734 | − | 25.5146i | 0.812741 | − | 0.902640i | ||||
\(800\) | 25.7890 | + | 44.6678i | 0.911778 | + | 1.57925i | ||||
\(801\) | 16.1173 | 0.569476 | ||||||||
\(802\) | −41.6673 | + | 46.2763i | −1.47133 | + | 1.63407i | ||||
\(803\) | −0.0387153 | − | 0.368351i | −0.00136623 | − | 0.0129988i | ||||
\(804\) | 26.1858 | − | 11.6587i | 0.923501 | − | 0.411169i | ||||
\(805\) | 81.3940 | 2.86876 | ||||||||
\(806\) | 40.4940 | − | 35.2598i | 1.42634 | − | 1.24197i | ||||
\(807\) | 27.7256 | 0.975989 | ||||||||
\(808\) | −82.2504 | + | 36.6202i | −2.89356 | + | 1.28830i | ||||
\(809\) | −3.64253 | − | 34.6563i | −0.128064 | − | 1.21845i | −0.850110 | − | 0.526606i | \(-0.823464\pi\) |
0.722045 | − | 0.691846i | \(-0.243202\pi\) | |||||||
\(810\) | −57.6012 | + | 63.9726i | −2.02390 | + | 2.24777i | ||||
\(811\) | 11.4128 | 0.400757 | 0.200379 | − | 0.979719i | \(-0.435783\pi\) | ||||
0.200379 | + | 0.979719i | \(0.435783\pi\) | |||||||
\(812\) | 9.10869 | + | 15.7767i | 0.319652 | + | 0.553654i | ||||
\(813\) | −21.0651 | + | 23.3951i | −0.738785 | + | 0.820503i | ||||
\(814\) | 19.0489 | − | 58.6265i | 0.667664 | − | 2.05486i | ||||
\(815\) | −45.3785 | + | 9.64549i | −1.58954 | + | 0.337867i | ||||
\(816\) | −132.532 | + | 59.0072i | −4.63956 | + | 2.06567i | ||||
\(817\) | 4.13827 | + | 0.879616i | 0.144780 | + | 0.0307739i | ||||
\(818\) | −40.4735 | − | 29.4057i | −1.41512 | − | 1.02815i | ||||
\(819\) | −5.93706 | + | 14.3777i | −0.207458 | + | 0.502399i | ||||
\(820\) | −31.8924 | + | 98.1548i | −1.11373 | + | 3.42771i | ||||
\(821\) | 0.552122 | + | 5.25309i | 0.0192692 | + | 0.183334i | 0.999923 | − | 0.0124165i | \(-0.00395240\pi\) |
−0.980654 | + | 0.195750i | \(0.937286\pi\) | |||||||
\(822\) | 1.35498 | + | 12.8918i | 0.0472605 | + | 0.449654i | ||||
\(823\) | 3.92892 | − | 0.835117i | 0.136953 | − | 0.0291104i | −0.138925 | − | 0.990303i | \(-0.544365\pi\) |
0.275878 | + | 0.961193i | \(0.411031\pi\) | |||||||
\(824\) | 89.4385 | − | 64.9808i | 3.11574 | − | 2.26372i | ||||
\(825\) | 2.36519 | − | 22.5032i | 0.0823452 | − | 0.783462i | ||||
\(826\) | 64.3092 | − | 71.4226i | 2.23760 | − | 2.48511i | ||||
\(827\) | 42.4791 | + | 30.8629i | 1.47714 | + | 1.07321i | 0.978463 | + | 0.206420i | \(0.0661813\pi\) |
0.498679 | + | 0.866787i | \(0.333819\pi\) | |||||||
\(828\) | 56.0497 | − | 11.9137i | 1.94786 | − | 0.414031i | ||||
\(829\) | −20.6568 | − | 22.9417i | −0.717440 | − | 0.796798i | 0.268610 | − | 0.963249i | \(-0.413436\pi\) |
−0.986050 | + | 0.166451i | \(0.946769\pi\) | |||||||
\(830\) | 3.56014 | + | 0.756730i | 0.123574 | + | 0.0262665i | ||||
\(831\) | 8.28442 | 0.287383 | ||||||||
\(832\) | −57.1789 | − | 30.9648i | −1.98232 | − | 1.07351i | ||||
\(833\) | −7.05781 | − | 21.7217i | −0.244538 | − | 0.752612i | ||||
\(834\) | 0.463260 | + | 4.40762i | 0.0160414 | + | 0.152623i | ||||
\(835\) | 52.5831 | − | 23.4115i | 1.81971 | − | 0.810188i | ||||
\(836\) | 5.97502 | + | 10.3490i | 0.206650 | + | 0.357929i | ||||
\(837\) | 9.05518 | + | 17.4061i | 0.312993 | + | 0.601642i | ||||
\(838\) | −18.1601 | − | 31.4542i | −0.627330 | − | 1.08657i | ||||
\(839\) | 5.38491 | − | 51.2340i | 0.185908 | − | 1.76879i | −0.361926 | − | 0.932207i | \(-0.617881\pi\) |
0.547833 | − | 0.836587i | \(-0.315453\pi\) | |||||||
\(840\) | −134.771 | + | 97.9167i | −4.65003 | + | 3.37845i | ||||
\(841\) | −18.6448 | + | 20.7072i | −0.642926 | + | 0.714041i | ||||
\(842\) | 48.8739 | − | 84.6521i | 1.68431 | − | 2.91730i | ||||
\(843\) | 2.50686 | − | 4.34201i | 0.0863409 | − | 0.149547i | ||||
\(844\) | −29.8050 | − | 91.7304i | −1.02593 | − | 3.15749i | ||||
\(845\) | −36.0300 | + | 9.73863i | −1.23947 | + | 0.335019i | ||||
\(846\) | 6.46613 | − | 19.9007i | 0.222310 | − | 0.684200i | ||||
\(847\) | 0.976203 | − | 0.434634i | 0.0335427 | − | 0.0149342i | ||||
\(848\) | −23.1154 | − | 4.91332i | −0.793784 | − | 0.168724i | ||||
\(849\) | 0.641216 | − | 6.10076i | 0.0220065 | − | 0.209378i | ||||
\(850\) | −40.0532 | + | 29.1004i | −1.37381 | + | 0.998134i | ||||
\(851\) | 57.2663 | − | 12.1723i | 1.96306 | − | 0.417262i | ||||
\(852\) | 10.8549 | + | 4.83290i | 0.371882 | + | 0.165573i | ||||
\(853\) | 11.5889 | − | 8.41981i | 0.396795 | − | 0.288289i | −0.371439 | − | 0.928457i | \(-0.621136\pi\) |
0.768234 | + | 0.640169i | \(0.221136\pi\) | |||||||
\(854\) | −92.8815 | + | 19.7426i | −3.17834 | + | 0.675577i | ||||
\(855\) | 0.268984 | + | 2.55921i | 0.00919907 | + | 0.0875233i | ||||
\(856\) | 6.57642 | − | 2.92801i | 0.224777 | − | 0.100077i | ||||
\(857\) | 3.78748 | + | 11.6567i | 0.129378 | + | 0.398184i | 0.994673 | − | 0.103078i | \(-0.0328692\pi\) |
−0.865295 | + | 0.501262i | \(0.832869\pi\) | |||||||
\(858\) | 29.0374 | + | 60.7073i | 0.991319 | + | 2.07251i | ||||
\(859\) | −1.10727 | + | 3.40783i | −0.0377796 | + | 0.116274i | −0.968168 | − | 0.250302i | \(-0.919470\pi\) |
0.930388 | + | 0.366576i | \(0.119470\pi\) | |||||||
\(860\) | 60.7887 | + | 67.5127i | 2.07288 | + | 2.30216i | ||||
\(861\) | −46.9279 | − | 9.97483i | −1.59930 | − | 0.339941i | ||||
\(862\) | −16.6434 | − | 28.8272i | −0.566876 | − | 0.981859i | ||||
\(863\) | 0.183382 | 0.00624241 | 0.00312120 | − | 0.999995i | \(-0.499006\pi\) | ||||
0.00312120 | + | 0.999995i | \(0.499006\pi\) | |||||||
\(864\) | 37.5070 | − | 41.6557i | 1.27601 | − | 1.41716i | ||||
\(865\) | 26.3173 | + | 11.7172i | 0.894815 | + | 0.398397i | ||||
\(866\) | −3.11768 | − | 2.26513i | −0.105943 | − | 0.0769722i | ||||
\(867\) | −16.1611 | − | 27.9919i | −0.548860 | − | 0.950654i | ||||
\(868\) | 25.4107 | + | 91.7223i | 0.862496 | + | 3.11326i | ||||
\(869\) | −8.58650 | + | 14.8723i | −0.291277 | + | 0.504507i | ||||
\(870\) | 13.7299 | + | 9.97534i | 0.465486 | + | 0.338196i | ||||
\(871\) | −3.69056 | + | 8.93742i | −0.125050 | + | 0.302833i | ||||
\(872\) | −4.43703 | − | 13.6558i | −0.150257 | − | 0.462443i | ||||
\(873\) | −9.95616 | + | 17.2446i | −0.336965 | + | 0.583640i | ||||
\(874\) | −7.87687 | + | 13.6431i | −0.266439 | + | 0.461486i | ||||
\(875\) | 11.1977 | − | 12.4363i | 0.378552 | − | 0.420424i | ||||
\(876\) | −0.363557 | + | 1.11891i | −0.0122834 | + | 0.0378045i | ||||
\(877\) | 9.10118 | − | 1.93452i | 0.307325 | − | 0.0653239i | −0.0516677 | − | 0.998664i | \(-0.516454\pi\) |
0.358993 | + | 0.933340i | \(0.383120\pi\) | |||||||
\(878\) | −4.15603 | + | 39.5419i | −0.140259 | + | 1.33448i | ||||
\(879\) | 1.75440 | + | 5.39949i | 0.0591745 | + | 0.182120i | ||||
\(880\) | −12.3748 | + | 117.738i | −0.417154 | + | 3.96895i | ||||
\(881\) | 0.425978 | + | 4.05291i | 0.0143515 | + | 0.136546i | 0.999351 | − | 0.0360089i | \(-0.0114645\pi\) |
−0.985000 | + | 0.172555i | \(0.944798\pi\) | |||||||
\(882\) | −9.31420 | − | 10.3445i | −0.313626 | − | 0.348316i | ||||
\(883\) | 1.31547 | − | 0.955744i | 0.0442690 | − | 0.0321633i | −0.565431 | − | 0.824796i | \(-0.691290\pi\) |
0.609700 | + | 0.792632i | \(0.291290\pi\) | |||||||
\(884\) | 40.4868 | − | 98.0466i | 1.36172 | − | 3.29766i | ||||
\(885\) | 19.9325 | − | 61.3458i | 0.670022 | − | 2.06212i | ||||
\(886\) | 1.00678 | + | 9.57892i | 0.0338236 | + | 0.321810i | ||||
\(887\) | 20.9044 | − | 9.30726i | 0.701903 | − | 0.312507i | −0.0245744 | − | 0.999698i | \(-0.507823\pi\) |
0.726477 | + | 0.687191i | \(0.241156\pi\) | |||||||
\(888\) | −80.1773 | + | 89.0459i | −2.69057 | + | 2.98819i | ||||
\(889\) | −12.1139 | − | 8.80126i | −0.406287 | − | 0.295185i | ||||
\(890\) | −93.0698 | + | 19.7826i | −3.11971 | + | 0.663114i | ||||
\(891\) | −36.8966 | + | 7.84262i | −1.23608 | + | 0.262738i | ||||
\(892\) | 7.22285 | + | 22.2297i | 0.241839 | + | 0.744304i | ||||
\(893\) | 2.07224 | + | 3.58922i | 0.0693448 | + | 0.120109i | ||||
\(894\) | 3.84892 | − | 6.66653i | 0.128727 | − | 0.222962i | ||||
\(895\) | −44.1224 | − | 9.37851i | −1.47485 | − | 0.313489i | ||||
\(896\) | 44.0717 | − | 32.0200i | 1.47233 | − | 1.06971i | ||||
\(897\) | −36.1429 | + | 52.7116i | −1.20678 | + | 1.75999i | ||||
\(898\) | −37.3695 | −1.24704 | ||||||||
\(899\) | 4.94877 | − | 3.27364i | 0.165051 | − | 0.109182i | ||||
\(900\) | −10.8690 | + | 18.8257i | −0.362300 | + | 0.627523i | ||||
\(901\) | 1.15064 | − | 10.9476i | 0.0383334 | − | 0.364718i | ||||
\(902\) | −50.7845 | + | 36.8971i | −1.69094 | + | 1.22854i | ||||
\(903\) | −28.2582 | + | 31.3839i | −0.940373 | + | 1.04439i | ||||
\(904\) | 14.6694 | + | 25.4082i | 0.487897 | + | 0.845063i | ||||
\(905\) | −30.2328 | −1.00497 | ||||||||
\(906\) | 16.3643 | − | 18.1744i | 0.543668 | − | 0.603804i | ||||
\(907\) | −14.0943 | − | 15.6533i | −0.467993 | − | 0.519759i | 0.462227 | − | 0.886762i | \(-0.347051\pi\) |
−0.930220 | + | 0.367003i | \(0.880384\pi\) | |||||||
\(908\) | 96.2433 | + | 106.889i | 3.19395 | + | 3.54724i | ||||
\(909\) | −11.2315 | − | 8.16018i | −0.372526 | − | 0.270656i | ||||
\(910\) | 16.6363 | − | 90.3121i | 0.551488 | − | 2.99382i | ||||
\(911\) | 5.02834 | + | 3.65330i | 0.166596 | + | 0.121039i | 0.667959 | − | 0.744198i | \(-0.267168\pi\) |
−0.501363 | + | 0.865237i | \(0.667168\pi\) | |||||||
\(912\) | −1.83055 | − | 17.4165i | −0.0606155 | − | 0.576718i | ||||
\(913\) | 1.06717 | + | 1.18522i | 0.0353183 | + | 0.0392249i | ||||
\(914\) | −68.4226 | − | 30.4637i | −2.26322 | − | 1.00765i | ||||
\(915\) | −51.5583 | + | 37.4593i | −1.70446 | + | 1.23837i | ||||
\(916\) | −147.548 | + | 31.3622i | −4.87512 | + | 1.03624i | ||||
\(917\) | 46.1005 | + | 20.5253i | 1.52237 | + | 0.677805i | ||||
\(918\) | 43.5286 | + | 31.6254i | 1.43666 | + | 1.04379i | ||||
\(919\) | 39.5958 | − | 43.9756i | 1.30615 | − | 1.45062i | 0.491247 | − | 0.871020i | \(-0.336541\pi\) |
0.814900 | − | 0.579602i | \(-0.196792\pi\) | |||||||
\(920\) | −189.114 | + | 84.1989i | −6.23490 | + | 2.77595i | ||||
\(921\) | −39.9206 | − | 44.3363i | −1.31543 | − | 1.46093i | ||||
\(922\) | −1.01978 | + | 3.13857i | −0.0335847 | + | 0.103363i | ||||
\(923\) | −3.77692 | + | 1.34212i | −0.124319 | + | 0.0441766i | ||||
\(924\) | −119.286 | −3.92421 | ||||||||
\(925\) | −11.1049 | + | 19.2343i | −0.365128 | + | 0.632420i | ||||
\(926\) | 34.2087 | + | 7.27128i | 1.12417 | + | 0.238949i | ||||
\(927\) | 15.5729 | + | 6.93351i | 0.511482 | + | 0.227726i | ||||
\(928\) | −13.7139 | − | 9.96374i | −0.450181 | − | 0.327076i | ||||
\(929\) | 29.6779 | + | 51.4036i | 0.973700 | + | 1.68650i | 0.684160 | + | 0.729332i | \(0.260169\pi\) |
0.289539 | + | 0.957166i | \(0.406498\pi\) | |||||||
\(930\) | 56.3802 | + | 68.4316i | 1.84878 | + | 2.24396i | ||||
\(931\) | 2.75704 | 0.0903582 | ||||||||
\(932\) | 6.81345 | − | 64.8256i | 0.223182 | − | 2.12343i | ||||
\(933\) | −2.92167 | − | 27.7978i | −0.0956511 | − | 0.910060i | ||||
\(934\) | 105.614 | + | 22.4489i | 3.45579 | + | 0.734551i | ||||
\(935\) | −55.1457 | −1.80346 | ||||||||
\(936\) | −1.07882 | − | 39.5474i | −0.0352624 | − | 1.29265i | ||||
\(937\) | 9.96787 | + | 30.6779i | 0.325636 | + | 1.00220i | 0.971153 | + | 0.238458i | \(0.0766421\pi\) |
−0.645517 | + | 0.763746i | \(0.723358\pi\) | |||||||
\(938\) | −15.9194 | − | 17.6803i | −0.519788 | − | 0.577283i | ||||
\(939\) | 43.8290 | + | 48.6770i | 1.43030 | + | 1.58851i | ||||
\(940\) | −9.30255 | + | 88.5079i | −0.303416 | + | 2.88681i | ||||
\(941\) | −6.46302 | − | 19.8911i | −0.210688 | − | 0.648432i | −0.999432 | − | 0.0337093i | \(-0.989268\pi\) |
0.788743 | − | 0.614723i | \(-0.210732\pi\) | |||||||
\(942\) | −3.64954 | + | 34.7231i | −0.118909 | + | 1.13134i | ||||
\(943\) | −54.4642 | − | 24.2490i | −1.77360 | − | 0.789657i | ||||
\(944\) | −41.0263 | + | 126.266i | −1.33529 | + | 4.10961i | ||||
\(945\) | 30.6557 | + | 13.6488i | 0.997229 | + | 0.443995i | ||||
\(946\) | 5.77584 | + | 54.9535i | 0.187789 | + | 1.78669i | ||||
\(947\) | 18.4605 | + | 20.5025i | 0.599887 | + | 0.666242i | 0.964244 | − | 0.265017i | \(-0.0853777\pi\) |
−0.364357 | + | 0.931260i | \(0.618711\pi\) | |||||||
\(948\) | 44.1312 | − | 32.0632i | 1.43331 | − | 1.04136i | ||||
\(949\) | −0.171251 | − | 0.358028i | −0.00555903 | − | 0.0116221i | ||||
\(950\) | −1.84679 | − | 5.68383i | −0.0599177 | − | 0.184408i | ||||
\(951\) | 18.2438 | − | 8.12267i | 0.591597 | − | 0.263396i | ||||
\(952\) | 106.871 | + | 118.692i | 3.46371 | + | 3.84684i | ||||
\(953\) | −13.0976 | + | 2.78399i | −0.424274 | + | 0.0901823i | −0.415100 | − | 0.909776i | \(-0.636254\pi\) |
−0.00917402 | + | 0.999958i | \(0.502920\pi\) | |||||||
\(954\) | −2.07317 | − | 6.38056i | −0.0671213 | − | 0.206578i | ||||
\(955\) | 14.9542 | + | 25.9014i | 0.483906 | + | 0.838150i | ||||
\(956\) | −26.1566 | − | 45.3046i | −0.845966 | − | 1.46526i | ||||
\(957\) | 2.29802 | + | 7.07257i | 0.0742843 | + | 0.228624i | ||||
\(958\) | −59.5350 | − | 26.5067i | −1.92349 | − | 0.856392i | ||||
\(959\) | 7.08116 | − | 3.15273i | 0.228662 | − | 0.101807i | ||||
\(960\) | 53.6886 | − | 92.9914i | 1.73279 | − | 3.00128i | ||||
\(961\) | 29.3164 | − | 10.0771i | 0.945691 | − | 0.325068i | ||||
\(962\) | −1.80121 | − | 66.0287i | −0.0580734 | − | 2.12885i | ||||
\(963\) | 0.898029 | + | 0.652456i | 0.0289386 | + | 0.0210251i | ||||
\(964\) | 3.31042 | + | 31.4966i | 0.106622 | + | 1.01444i | ||||
\(965\) | 45.9135 | + | 9.75922i | 1.47801 | + | 0.314161i | ||||
\(966\) | −78.6272 | − | 136.186i | −2.52979 | − | 4.38172i | ||||
\(967\) | −11.1590 | −0.358849 | −0.179425 | − | 0.983772i | \(-0.557424\pi\) | ||||
−0.179425 | + | 0.983772i | \(0.557424\pi\) | |||||||
\(968\) | −1.81853 | + | 2.01969i | −0.0584499 | + | 0.0649152i | ||||
\(969\) | 7.97921 | − | 1.69603i | 0.256329 | − | 0.0544844i | ||||
\(970\) | 36.3259 | − | 111.800i | 1.16636 | − | 3.58967i | ||||
\(971\) | −4.21541 | + | 40.1070i | −0.135279 | + | 1.28709i | 0.690596 | + | 0.723241i | \(0.257348\pi\) |
−0.825875 | + | 0.563853i | \(0.809318\pi\) | |||||||
\(972\) | 63.9045 | + | 13.5833i | 2.04974 | + | 0.435685i | ||||
\(973\) | 2.42100 | − | 1.07790i | 0.0776136 | − | 0.0345558i | ||||
\(974\) | −30.2893 | + | 22.0065i | −0.970531 | + | 0.705132i | ||||
\(975\) | −5.68584 | − | 23.5697i | −0.182092 | − | 0.754836i | ||||
\(976\) | 106.121 | − | 77.1013i | 3.39684 | − | 2.46795i | ||||
\(977\) | −4.44399 | − | 42.2818i | −0.142176 | − | 1.35271i | −0.800207 | − | 0.599723i | \(-0.795277\pi\) |
0.658031 | − | 0.752991i | \(-0.271389\pi\) | |||||||
\(978\) | 59.9745 | + | 66.6085i | 1.91777 | + | 2.12990i | ||||
\(979\) | −38.0887 | − | 16.9582i | −1.21732 | − | 0.541986i | ||||
\(980\) | 47.8959 | + | 34.7984i | 1.52998 | + | 1.11159i | ||||
\(981\) | 1.48147 | − | 1.64534i | 0.0472998 | − | 0.0525318i | ||||
\(982\) | −4.58259 | + | 43.6004i | −0.146236 | + | 1.39134i | ||||
\(983\) | 2.37117 | − | 7.29770i | 0.0756284 | − | 0.232760i | −0.906095 | − | 0.423075i | \(-0.860951\pi\) |
0.981723 | + | 0.190314i | \(0.0609507\pi\) | |||||||
\(984\) | 119.352 | − | 25.3691i | 3.80482 | − | 0.808739i | ||||
\(985\) | 3.70524 | + | 0.787574i | 0.118059 | + | 0.0250942i | ||||
\(986\) | 8.13560 | − | 14.0913i | 0.259090 | − | 0.448757i | ||||
\(987\) | −41.3703 | −1.31683 | ||||||||
\(988\) | 9.74600 | + | 8.30547i | 0.310061 | + | 0.264232i | ||||
\(989\) | −42.4566 | + | 30.8466i | −1.35004 | + | 0.980864i | ||||
\(990\) | −30.7036 | + | 13.6701i | −0.975824 | + | 0.434465i | ||||
\(991\) | −13.2335 | + | 22.9212i | −0.420377 | + | 0.728114i | −0.995976 | − | 0.0896176i | \(-0.971436\pi\) |
0.575599 | + | 0.817732i | \(0.304769\pi\) | |||||||
\(992\) | −56.3147 | − | 68.3520i | −1.78799 | − | 2.17018i | ||||
\(993\) | 20.2916 | 0.643935 | ||||||||
\(994\) | 1.03089 | − | 9.80823i | 0.0326977 | − | 0.311098i | ||||
\(995\) | −37.7422 | − | 16.8039i | −1.19651 | − | 0.532720i | ||||
\(996\) | −1.56548 | − | 4.81806i | −0.0496042 | − | 0.152666i | ||||
\(997\) | −0.916481 | − | 1.58739i | −0.0290252 | − | 0.0502732i | 0.851148 | − | 0.524926i | \(-0.175907\pi\) |
−0.880173 | + | 0.474653i | \(0.842574\pi\) | |||||||
\(998\) | −18.0810 | + | 31.3172i | −0.572344 | + | 0.991329i | ||||
\(999\) | 23.6095 | + | 5.01836i | 0.746972 | + | 0.158774i |
(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 | 403.2.bl.b.126.1 | yes | 280 | |
13.3 | even | 3 | inner | 403.2.bl.b.250.35 | yes | 280 | |
31.16 | even | 5 | inner | 403.2.bl.b.295.35 | yes | 280 | |
403.16 | even | 15 | inner | 403.2.bl.b.16.1 | ✓ | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bl.b.16.1 | ✓ | 280 | 403.16 | even | 15 | inner | |
403.2.bl.b.126.1 | yes | 280 | 1.1 | even | 1 | trivial | |
403.2.bl.b.250.35 | yes | 280 | 13.3 | even | 3 | inner | |
403.2.bl.b.295.35 | yes | 280 | 31.16 | even | 5 | inner |