Newspace parameters
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.k (of order \(6\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 12.0.2346760387617129.1 |
Defining polynomial: |
\( x^{12} - 3 x^{11} + x^{10} + 10 x^{9} - 15 x^{8} - 10 x^{7} + 45 x^{6} - 20 x^{5} - 60 x^{4} + 80 x^{3} + 16 x^{2} - 96 x + 64 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Root | \(1.32725 - 0.488273i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 91.4 |
Dual form | 91.2.k.b.23.6 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.58860i | − | 1.83042i | −0.402981 | − | 0.915209i | \(-0.632026\pi\) | ||
0.402981 | − | 0.915209i | \(-0.367974\pi\) | |||||||
\(3\) | −0.259233 | − | 0.449005i | −0.149668 | − | 0.259233i | 0.781437 | − | 0.623985i | \(-0.214487\pi\) |
−0.931105 | + | 0.364752i | \(0.881154\pi\) | |||||||
\(4\) | −4.70085 | −2.35043 | ||||||||
\(5\) | −1.39608 | + | 0.806027i | −0.624346 | + | 0.360466i | −0.778559 | − | 0.627571i | \(-0.784049\pi\) |
0.154213 | + | 0.988038i | \(0.450716\pi\) | |||||||
\(6\) | −1.16229 | + | 0.671051i | −0.474504 | + | 0.273955i | ||||
\(7\) | 1.06153 | − | 2.42346i | 0.401219 | − | 0.915982i | ||||
\(8\) | 6.99143i | 2.47184i | ||||||||
\(9\) | 1.36560 | − | 2.36528i | 0.455199 | − | 0.788428i | ||||
\(10\) | 2.08648 | + | 3.61389i | 0.659803 | + | 1.14281i | ||||
\(11\) | 2.34256 | − | 1.35248i | 0.706309 | − | 0.407788i | −0.103384 | − | 0.994642i | \(-0.532967\pi\) |
0.809693 | + | 0.586854i | \(0.199634\pi\) | |||||||
\(12\) | 1.21862 | + | 2.11070i | 0.351784 | + | 0.609308i | ||||
\(13\) | 2.36840 | + | 2.71858i | 0.656876 | + | 0.753998i | ||||
\(14\) | −6.27337 | − | 2.74787i | −1.67663 | − | 0.734398i | ||||
\(15\) | 0.723819 | + | 0.417897i | 0.186889 | + | 0.107901i | ||||
\(16\) | 8.69632 | 2.17408 | ||||||||
\(17\) | −3.12661 | −0.758314 | −0.379157 | − | 0.925332i | \(-0.623786\pi\) | ||||
−0.379157 | + | 0.925332i | \(0.623786\pi\) | |||||||
\(18\) | −6.12277 | − | 3.53498i | −1.44315 | − | 0.833204i | ||||
\(19\) | 3.18828 | + | 1.84075i | 0.731441 | + | 0.422297i | 0.818949 | − | 0.573866i | \(-0.194557\pi\) |
−0.0875083 | + | 0.996164i | \(0.527890\pi\) | |||||||
\(20\) | 6.56276 | − | 3.78901i | 1.46748 | − | 0.847249i | ||||
\(21\) | −1.36333 | + | 0.151611i | −0.297502 | + | 0.0330842i | ||||
\(22\) | −3.50103 | − | 6.06396i | −0.746421 | − | 1.29284i | ||||
\(23\) | −1.98604 | −0.414117 | −0.207059 | − | 0.978329i | \(-0.566389\pi\) | ||||
−0.207059 | + | 0.978329i | \(0.566389\pi\) | |||||||
\(24\) | 3.13918 | − | 1.81241i | 0.640783 | − | 0.369956i | ||||
\(25\) | −1.20064 | + | 2.07957i | −0.240128 | + | 0.415914i | ||||
\(26\) | 7.03732 | − | 6.13084i | 1.38013 | − | 1.20236i | ||||
\(27\) | −2.97143 | −0.571852 | ||||||||
\(28\) | −4.99008 | + | 11.3923i | −0.943036 | + | 2.15295i | ||||
\(29\) | 2.68636 | − | 4.65290i | 0.498844 | − | 0.864023i | −0.501155 | − | 0.865357i | \(-0.667092\pi\) |
0.999999 | + | 0.00133469i | \(0.000424845\pi\) | |||||||
\(30\) | 1.08177 | − | 1.87368i | 0.197503 | − | 0.342086i | ||||
\(31\) | 9.07425 | + | 5.23902i | 1.62978 | + | 0.940956i | 0.984156 | + | 0.177303i | \(0.0567372\pi\) |
0.645627 | + | 0.763653i | \(0.276596\pi\) | |||||||
\(32\) | − | 8.52843i | − | 1.50763i | ||||||
\(33\) | −1.21454 | − | 0.701214i | −0.211424 | − | 0.122066i | ||||
\(34\) | 8.09354i | 1.38803i | ||||||||
\(35\) | 0.471400 | + | 4.23896i | 0.0796811 | + | 0.716515i | ||||
\(36\) | −6.41947 | + | 11.1188i | −1.06991 | + | 1.85314i | ||||
\(37\) | 5.95346i | 0.978743i | 0.872075 | + | 0.489371i | \(0.162774\pi\) | ||||
−0.872075 | + | 0.489371i | \(0.837226\pi\) | |||||||
\(38\) | 4.76497 | − | 8.25317i | 0.772981 | − | 1.33884i | ||||
\(39\) | 0.606687 | − | 1.76817i | 0.0971477 | − | 0.283134i | ||||
\(40\) | −5.63528 | − | 9.76059i | −0.891016 | − | 1.54329i | ||||
\(41\) | −6.66970 | − | 3.85075i | −1.04163 | − | 0.601386i | −0.121337 | − | 0.992611i | \(-0.538718\pi\) |
−0.920295 | + | 0.391225i | \(0.872051\pi\) | |||||||
\(42\) | 0.392460 | + | 3.52911i | 0.0605579 | + | 0.544554i | ||||
\(43\) | −1.67800 | − | 2.90638i | −0.255892 | − | 0.443219i | 0.709245 | − | 0.704962i | \(-0.249036\pi\) |
−0.965138 | + | 0.261743i | \(0.915703\pi\) | |||||||
\(44\) | −11.0120 | + | 6.35780i | −1.66013 | + | 0.958475i | ||||
\(45\) | 4.40283i | 0.656335i | ||||||||
\(46\) | 5.14106i | 0.758008i | ||||||||
\(47\) | 0.913730 | − | 0.527542i | 0.133281 | − | 0.0769500i | −0.431877 | − | 0.901933i | \(-0.642148\pi\) |
0.565158 | + | 0.824983i | \(0.308815\pi\) | |||||||
\(48\) | −2.25437 | − | 3.90469i | −0.325390 | − | 0.563593i | ||||
\(49\) | −4.74633 | − | 5.14513i | −0.678046 | − | 0.735019i | ||||
\(50\) | 5.38318 | + | 3.10798i | 0.761297 | + | 0.439535i | ||||
\(51\) | 0.810520 | + | 1.40386i | 0.113495 | + | 0.196580i | ||||
\(52\) | −11.1335 | − | 12.7796i | −1.54394 | − | 1.77222i | ||||
\(53\) | −3.63284 | + | 6.29226i | −0.499009 | + | 0.864308i | −0.999999 | − | 0.00114437i | \(-0.999636\pi\) |
0.500991 | + | 0.865453i | \(0.332969\pi\) | |||||||
\(54\) | 7.69184i | 1.04673i | ||||||||
\(55\) | −2.18027 | + | 3.77633i | −0.293987 | + | 0.509201i | ||||
\(56\) | 16.9435 | + | 7.42158i | 2.26416 | + | 0.991751i | ||||
\(57\) | − | 1.90873i | − | 0.252818i | ||||||
\(58\) | −12.0445 | − | 6.95390i | −1.58152 | − | 0.913092i | ||||
\(59\) | 11.4241i | 1.48729i | 0.668577 | + | 0.743643i | \(0.266904\pi\) | ||||
−0.668577 | + | 0.743643i | \(0.733096\pi\) | |||||||
\(60\) | −3.40257 | − | 1.96447i | −0.439270 | − | 0.253613i | ||||
\(61\) | 1.46254 | − | 2.53319i | 0.187259 | − | 0.324341i | −0.757077 | − | 0.653326i | \(-0.773373\pi\) |
0.944335 | + | 0.328985i | \(0.106706\pi\) | |||||||
\(62\) | 13.5617 | − | 23.4896i | 1.72234 | − | 2.98318i | ||||
\(63\) | −4.28255 | − | 5.82028i | −0.539551 | − | 0.733286i | ||||
\(64\) | −4.68406 | −0.585507 | ||||||||
\(65\) | −5.49772 | − | 1.88636i | −0.681909 | − | 0.233974i | ||||
\(66\) | −1.81516 | + | 3.14395i | −0.223431 | + | 0.386994i | ||||
\(67\) | 11.7622 | − | 6.79091i | 1.43698 | − | 0.829642i | 0.439343 | − | 0.898320i | \(-0.355211\pi\) |
0.997639 | + | 0.0686778i | \(0.0218780\pi\) | |||||||
\(68\) | 14.6977 | 1.78236 | ||||||||
\(69\) | 0.514846 | + | 0.891740i | 0.0619802 | + | 0.107353i | ||||
\(70\) | 10.9730 | − | 1.22027i | 1.31152 | − | 0.145850i | ||||
\(71\) | 1.17009 | − | 0.675554i | 0.138865 | − | 0.0801736i | −0.428958 | − | 0.903324i | \(-0.641119\pi\) |
0.567823 | + | 0.823151i | \(0.307786\pi\) | |||||||
\(72\) | 16.5367 | + | 9.54747i | 1.94887 | + | 1.12518i | ||||
\(73\) | −7.88374 | − | 4.55168i | −0.922721 | − | 0.532733i | −0.0382192 | − | 0.999269i | \(-0.512169\pi\) |
−0.884502 | + | 0.466536i | \(0.845502\pi\) | |||||||
\(74\) | 15.4111 | 1.79151 | ||||||||
\(75\) | 1.24498 | 0.143758 | ||||||||
\(76\) | −14.9876 | − | 8.65311i | −1.71920 | − | 0.992579i | ||||
\(77\) | −0.790989 | − | 7.11280i | −0.0901416 | − | 0.810578i | ||||
\(78\) | −4.57708 | − | 1.57047i | −0.518252 | − | 0.177821i | ||||
\(79\) | 3.10289 | + | 5.37436i | 0.349102 | + | 0.604663i | 0.986090 | − | 0.166211i | \(-0.0531532\pi\) |
−0.636988 | + | 0.770874i | \(0.719820\pi\) | |||||||
\(80\) | −12.1407 | + | 7.00946i | −1.35738 | + | 0.783682i | ||||
\(81\) | −3.32650 | − | 5.76166i | −0.369611 | − | 0.640185i | ||||
\(82\) | −9.96806 | + | 17.2652i | −1.10079 | + | 1.90662i | ||||
\(83\) | 2.69672i | 0.296003i | 0.988987 | + | 0.148002i | \(0.0472841\pi\) | ||||
−0.988987 | + | 0.148002i | \(0.952716\pi\) | |||||||
\(84\) | 6.40880 | − | 0.712700i | 0.699258 | − | 0.0777620i | ||||
\(85\) | 4.36499 | − | 2.52013i | 0.473450 | − | 0.273346i | ||||
\(86\) | −7.52346 | + | 4.34367i | −0.811275 | + | 0.468390i | ||||
\(87\) | −2.78557 | −0.298644 | ||||||||
\(88\) | 9.45576 | + | 16.3779i | 1.00799 | + | 1.74589i | ||||
\(89\) | 1.75988i | 0.186546i | 0.995641 | + | 0.0932732i | \(0.0297330\pi\) | ||||
−0.995641 | + | 0.0932732i | \(0.970267\pi\) | |||||||
\(90\) | 11.3972 | 1.20137 | ||||||||
\(91\) | 9.10249 | − | 2.85388i | 0.954200 | − | 0.299168i | ||||
\(92\) | 9.33607 | 0.973353 | ||||||||
\(93\) | − | 5.43251i | − | 0.563325i | ||||||
\(94\) | −1.36560 | − | 2.36528i | −0.140851 | − | 0.243960i | ||||
\(95\) | −5.93478 | −0.608896 | ||||||||
\(96\) | −3.82930 | + | 2.21085i | −0.390827 | + | 0.225644i | ||||
\(97\) | −13.4078 | + | 7.74102i | −1.36136 | + | 0.785981i | −0.989805 | − | 0.142430i | \(-0.954509\pi\) |
−0.371555 | + | 0.928411i | \(0.621175\pi\) | |||||||
\(98\) | −13.3187 | + | 12.2863i | −1.34539 | + | 1.24111i | ||||
\(99\) | − | 7.38776i | − | 0.742498i | ||||||
\(100\) | 5.64404 | − | 9.77576i | 0.564404 | − | 0.977576i | ||||
\(101\) | −0.639651 | − | 1.10791i | −0.0636477 | − | 0.110241i | 0.832446 | − | 0.554107i | \(-0.186940\pi\) |
−0.896093 | + | 0.443866i | \(0.853607\pi\) | |||||||
\(102\) | 3.63404 | − | 2.09811i | 0.359823 | − | 0.207744i | ||||
\(103\) | −5.73367 | − | 9.93101i | −0.564956 | − | 0.978532i | −0.997054 | − | 0.0767054i | \(-0.975560\pi\) |
0.432098 | − | 0.901827i | \(-0.357773\pi\) | |||||||
\(104\) | −19.0068 | + | 16.5585i | −1.86377 | + | 1.62370i | ||||
\(105\) | 1.78111 | − | 1.31054i | 0.173819 | − | 0.127896i | ||||
\(106\) | 16.2881 | + | 9.40397i | 1.58204 | + | 0.913394i | ||||
\(107\) | −5.13525 | −0.496444 | −0.248222 | − | 0.968703i | \(-0.579846\pi\) | ||||
−0.248222 | + | 0.968703i | \(0.579846\pi\) | |||||||
\(108\) | 13.9682 | 1.34410 | ||||||||
\(109\) | 1.49635 | + | 0.863916i | 0.143324 | + | 0.0827481i | 0.569947 | − | 0.821681i | \(-0.306964\pi\) |
−0.426623 | + | 0.904429i | \(0.640297\pi\) | |||||||
\(110\) | 9.77542 | + | 5.64384i | 0.932050 | + | 0.538119i | ||||
\(111\) | 2.67313 | − | 1.54333i | 0.253722 | − | 0.146487i | ||||
\(112\) | 9.23136 | − | 21.0752i | 0.872282 | − | 1.99142i | ||||
\(113\) | 4.29556 | + | 7.44014i | 0.404093 | + | 0.699909i | 0.994215 | − | 0.107404i | \(-0.0342540\pi\) |
−0.590123 | + | 0.807314i | \(0.700921\pi\) | |||||||
\(114\) | −4.94095 | −0.462762 | ||||||||
\(115\) | 2.77267 | − | 1.60080i | 0.258552 | − | 0.149275i | ||||
\(116\) | −12.6282 | + | 21.8726i | −1.17250 | + | 2.03082i | ||||
\(117\) | 9.66449 | − | 1.88945i | 0.893482 | − | 0.174680i | ||||
\(118\) | 29.5723 | 2.72235 | ||||||||
\(119\) | −3.31897 | + | 7.57721i | −0.304250 | + | 0.694602i | ||||
\(120\) | −2.92170 | + | 5.06053i | −0.266714 | + | 0.461961i | ||||
\(121\) | −1.84160 | + | 3.18975i | −0.167419 | + | 0.289977i | ||||
\(122\) | −6.55741 | − | 3.78592i | −0.593680 | − | 0.342761i | ||||
\(123\) | 3.99297i | 0.360034i | ||||||||
\(124\) | −42.6567 | − | 24.6279i | −3.83069 | − | 2.21165i | ||||
\(125\) | − | 11.9313i | − | 1.06716i | ||||||
\(126\) | −15.0664 | + | 11.0858i | −1.34222 | + | 0.987603i | ||||
\(127\) | −1.56206 | + | 2.70556i | −0.138610 | + | 0.240080i | −0.926971 | − | 0.375133i | \(-0.877597\pi\) |
0.788361 | + | 0.615214i | \(0.210930\pi\) | |||||||
\(128\) | − | 4.93170i | − | 0.435904i | ||||||
\(129\) | −0.869985 | + | 1.50686i | −0.0765979 | + | 0.132671i | ||||
\(130\) | −4.88303 | + | 14.2314i | −0.428270 | + | 1.24818i | ||||
\(131\) | −5.10460 | − | 8.84142i | −0.445991 | − | 0.772479i | 0.552130 | − | 0.833758i | \(-0.313815\pi\) |
−0.998121 | + | 0.0612793i | \(0.980482\pi\) | |||||||
\(132\) | 5.70937 | + | 3.29630i | 0.496936 | + | 0.286906i | ||||
\(133\) | 7.84543 | − | 5.77266i | 0.680285 | − | 0.500553i | ||||
\(134\) | −17.5790 | − | 30.4476i | −1.51859 | − | 2.63028i | ||||
\(135\) | 4.14835 | − | 2.39505i | 0.357033 | − | 0.206133i | ||||
\(136\) | − | 21.8595i | − | 1.87443i | ||||||
\(137\) | − | 9.99261i | − | 0.853726i | −0.904316 | − | 0.426863i | \(-0.859619\pi\) | ||
0.904316 | − | 0.426863i | \(-0.140381\pi\) | |||||||
\(138\) | 2.30836 | − | 1.33273i | 0.196501 | − | 0.113450i | ||||
\(139\) | 0.832100 | + | 1.44124i | 0.0705778 | + | 0.122244i | 0.899155 | − | 0.437631i | \(-0.144182\pi\) |
−0.828577 | + | 0.559875i | \(0.810849\pi\) | |||||||
\(140\) | −2.21598 | − | 19.9267i | −0.187285 | − | 1.68412i | ||||
\(141\) | −0.473738 | − | 0.273513i | −0.0398959 | − | 0.0230339i | ||||
\(142\) | −1.74874 | − | 3.02891i | −0.146751 | − | 0.254180i | ||||
\(143\) | 9.22495 | + | 3.16523i | 0.771429 | + | 0.264690i | ||||
\(144\) | 11.8757 | − | 20.5692i | 0.989638 | − | 1.71410i | ||||
\(145\) | 8.66110i | 0.719265i | ||||||||
\(146\) | −11.7825 | + | 20.4078i | −0.975124 | + | 1.68897i | ||||
\(147\) | −1.07978 | + | 3.46491i | −0.0890591 | + | 0.285781i | ||||
\(148\) | − | 27.9863i | − | 2.30046i | ||||||
\(149\) | 17.1456 | + | 9.89902i | 1.40462 | + | 0.810959i | 0.994863 | − | 0.101234i | \(-0.0322792\pi\) |
0.409760 | + | 0.912193i | \(0.365613\pi\) | |||||||
\(150\) | − | 3.22276i | − | 0.263138i | ||||||
\(151\) | −6.52544 | − | 3.76746i | −0.531033 | − | 0.306592i | 0.210404 | − | 0.977614i | \(-0.432522\pi\) |
−0.741437 | + | 0.671023i | \(0.765855\pi\) | |||||||
\(152\) | −12.8695 | + | 22.2906i | −1.04385 | + | 1.80801i | ||||
\(153\) | −4.26968 | + | 7.39531i | −0.345183 | + | 0.597875i | ||||
\(154\) | −18.4122 | + | 2.04755i | −1.48370 | + | 0.164997i | ||||
\(155\) | −16.8912 | −1.35673 | ||||||||
\(156\) | −2.85195 | + | 8.31190i | −0.228339 | + | 0.665485i | ||||
\(157\) | −7.00223 | + | 12.1282i | −0.558839 | + | 0.967938i | 0.438755 | + | 0.898607i | \(0.355420\pi\) |
−0.997594 | + | 0.0693309i | \(0.977914\pi\) | |||||||
\(158\) | 13.9121 | − | 8.03214i | 1.10679 | − | 0.639003i | ||||
\(159\) | 3.76700 | 0.298743 | ||||||||
\(160\) | 6.87414 | + | 11.9064i | 0.543448 | + | 0.941280i | ||||
\(161\) | −2.10823 | + | 4.81308i | −0.166152 | + | 0.379324i | ||||
\(162\) | −14.9146 | + | 8.61097i | −1.17181 | + | 0.676542i | ||||
\(163\) | 6.20936 | + | 3.58498i | 0.486355 | + | 0.280797i | 0.723061 | − | 0.690784i | \(-0.242735\pi\) |
−0.236706 | + | 0.971581i | \(0.576068\pi\) | |||||||
\(164\) | 31.3533 | + | 18.1018i | 2.44828 | + | 1.41351i | ||||
\(165\) | 2.26079 | 0.176002 | ||||||||
\(166\) | 6.98072 | 0.541809 | ||||||||
\(167\) | 15.5716 | + | 8.99027i | 1.20497 | + | 0.695688i | 0.961656 | − | 0.274260i | \(-0.0884328\pi\) |
0.243312 | + | 0.969948i | \(0.421766\pi\) | |||||||
\(168\) | −1.05998 | − | 9.53161i | −0.0817790 | − | 0.735380i | ||||
\(169\) | −1.78135 | + | 12.8774i | −0.137027 | + | 0.990567i | ||||
\(170\) | −6.52361 | − | 11.2992i | −0.500338 | − | 0.866611i | ||||
\(171\) | 8.70780 | − | 5.02745i | 0.665902 | − | 0.384459i | ||||
\(172\) | 7.88803 | + | 13.6625i | 0.601456 | + | 1.04175i | ||||
\(173\) | −6.40579 | + | 11.0952i | −0.487023 | + | 0.843549i | −0.999889 | − | 0.0149198i | \(-0.995251\pi\) |
0.512865 | + | 0.858469i | \(0.328584\pi\) | |||||||
\(174\) | 7.21072i | 0.546643i | ||||||||
\(175\) | 3.76525 | + | 5.11723i | 0.284626 | + | 0.386826i | ||||
\(176\) | 20.3717 | − | 11.7616i | 1.53557 | − | 0.886562i | ||||
\(177\) | 5.12945 | − | 2.96149i | 0.385553 | − | 0.222599i | ||||
\(178\) | 4.55561 | 0.341458 | ||||||||
\(179\) | 0.920110 | + | 1.59368i | 0.0687723 | + | 0.119117i | 0.898361 | − | 0.439258i | \(-0.144758\pi\) |
−0.829589 | + | 0.558375i | \(0.811425\pi\) | |||||||
\(180\) | − | 20.6971i | − | 1.54267i | ||||||
\(181\) | −3.29928 | −0.245234 | −0.122617 | − | 0.992454i | \(-0.539129\pi\) | ||||
−0.122617 | + | 0.992454i | \(0.539129\pi\) | |||||||
\(182\) | −7.38757 | − | 23.5627i | −0.547603 | − | 1.74658i | ||||
\(183\) | −1.51655 | −0.112107 | ||||||||
\(184\) | − | 13.8852i | − | 1.02363i | ||||||
\(185\) | −4.79865 | − | 8.31150i | −0.352804 | − | 0.611074i | ||||
\(186\) | −14.0626 | −1.03112 | ||||||||
\(187\) | −7.32427 | + | 4.22867i | −0.535604 | + | 0.309231i | ||||
\(188\) | −4.29531 | + | 2.47990i | −0.313268 | + | 0.180865i | ||||
\(189\) | −3.15425 | + | 7.20114i | −0.229438 | + | 0.523806i | ||||
\(190\) | 15.3628i | 1.11453i | ||||||||
\(191\) | −2.44807 | + | 4.24018i | −0.177136 | + | 0.306809i | −0.940898 | − | 0.338689i | \(-0.890017\pi\) |
0.763762 | + | 0.645498i | \(0.223350\pi\) | |||||||
\(192\) | 1.21426 | + | 2.10316i | 0.0876318 | + | 0.151783i | ||||
\(193\) | 2.61462 | − | 1.50955i | 0.188204 | − | 0.108660i | −0.402937 | − | 0.915228i | \(-0.632011\pi\) |
0.591142 | + | 0.806568i | \(0.298677\pi\) | |||||||
\(194\) | 20.0384 | + | 34.7075i | 1.43867 | + | 2.49186i | ||||
\(195\) | 0.578207 | + | 2.95751i | 0.0414063 | + | 0.211792i | ||||
\(196\) | 22.3118 | + | 24.1865i | 1.59370 | + | 1.72761i | ||||
\(197\) | 4.02694 | + | 2.32496i | 0.286908 | + | 0.165646i | 0.636546 | − | 0.771238i | \(-0.280362\pi\) |
−0.349639 | + | 0.936885i | \(0.613696\pi\) | |||||||
\(198\) | −19.1240 | −1.35908 | ||||||||
\(199\) | −0.410721 | −0.0291152 | −0.0145576 | − | 0.999894i | \(-0.504634\pi\) | ||||
−0.0145576 | + | 0.999894i | \(0.504634\pi\) | |||||||
\(200\) | −14.5392 | − | 8.39420i | −1.02808 | − | 0.593560i | ||||
\(201\) | −6.09830 | − | 3.52085i | −0.430141 | − | 0.248342i | ||||
\(202\) | −2.86793 | + | 1.65580i | −0.201787 | + | 0.116502i | ||||
\(203\) | −8.42450 | − | 11.4495i | −0.591284 | − | 0.803594i | ||||
\(204\) | −3.81013 | − | 6.59934i | −0.266763 | − | 0.462047i | ||||
\(205\) | 12.4152 | 0.867118 | ||||||||
\(206\) | −25.7074 | + | 14.8422i | −1.79112 | + | 1.03410i | ||||
\(207\) | −2.71213 | + | 4.69754i | −0.188506 | + | 0.326502i | ||||
\(208\) | 20.5964 | + | 23.6416i | 1.42810 | + | 1.63925i | ||||
\(209\) | 9.95831 | 0.688831 | ||||||||
\(210\) | −3.39246 | − | 4.61059i | −0.234102 | − | 0.318161i | ||||
\(211\) | 3.75800 | − | 6.50905i | 0.258711 | − | 0.448101i | −0.707186 | − | 0.707028i | \(-0.750035\pi\) |
0.965897 | + | 0.258927i | \(0.0833688\pi\) | |||||||
\(212\) | 17.0774 | − | 29.5790i | 1.17288 | − | 2.03149i | ||||
\(213\) | −0.606654 | − | 0.350252i | −0.0415672 | − | 0.0239989i | ||||
\(214\) | 13.2931i | 0.908699i | ||||||||
\(215\) | 4.68524 | + | 2.70502i | 0.319531 | + | 0.184481i | ||||
\(216\) | − | 20.7745i | − | 1.41353i | ||||||
\(217\) | 22.3291 | − | 16.4297i | 1.51580 | − | 1.11532i | ||||
\(218\) | 2.23633 | − | 3.87344i | 0.151464 | − | 0.262343i | ||||
\(219\) | 4.71978i | 0.318933i | ||||||||
\(220\) | 10.2491 | − | 17.7520i | 0.690996 | − | 1.19684i | ||||
\(221\) | −7.40506 | − | 8.49993i | −0.498118 | − | 0.571767i | ||||
\(222\) | −3.99507 | − | 6.91967i | −0.268132 | − | 0.464418i | ||||
\(223\) | −19.5544 | − | 11.2897i | −1.30946 | − | 0.756016i | −0.327452 | − | 0.944868i | \(-0.606190\pi\) |
−0.982006 | + | 0.188852i | \(0.939523\pi\) | |||||||
\(224\) | −20.6683 | − | 9.05315i | −1.38096 | − | 0.604889i | ||||
\(225\) | 3.27918 | + | 5.67971i | 0.218612 | + | 0.378648i | ||||
\(226\) | 19.2595 | − | 11.1195i | 1.28113 | − | 0.739658i | ||||
\(227\) | − | 13.6717i | − | 0.907424i | −0.891148 | − | 0.453712i | \(-0.850099\pi\) | ||
0.891148 | − | 0.453712i | \(-0.149901\pi\) | |||||||
\(228\) | 8.97268i | 0.594230i | ||||||||
\(229\) | 6.86832 | − | 3.96543i | 0.453872 | − | 0.262043i | −0.255592 | − | 0.966785i | \(-0.582270\pi\) |
0.709464 | + | 0.704742i | \(0.248937\pi\) | |||||||
\(230\) | −4.14383 | − | 7.17733i | −0.273236 | − | 0.473259i | ||||
\(231\) | −2.98863 | + | 2.19903i | −0.196637 | + | 0.144685i | ||||
\(232\) | 32.5305 | + | 18.7815i | 2.13573 | + | 1.23306i | ||||
\(233\) | −3.28585 | − | 5.69127i | −0.215263 | − | 0.372847i | 0.738091 | − | 0.674702i | \(-0.235728\pi\) |
−0.953354 | + | 0.301854i | \(0.902394\pi\) | |||||||
\(234\) | −4.89104 | − | 25.0175i | −0.319738 | − | 1.63545i | ||||
\(235\) | −0.850427 | + | 1.47298i | −0.0554757 | + | 0.0960868i | ||||
\(236\) | − | 53.7028i | − | 3.49576i | ||||||
\(237\) | 1.60874 | − | 2.78642i | 0.104499 | − | 0.180998i | ||||
\(238\) | 19.6144 | + | 8.59150i | 1.27141 | + | 0.556904i | ||||
\(239\) | 9.39284i | 0.607572i | 0.952740 | + | 0.303786i | \(0.0982508\pi\) | ||||
−0.952740 | + | 0.303786i | \(0.901749\pi\) | |||||||
\(240\) | 6.29456 | + | 3.63417i | 0.406312 | + | 0.234584i | ||||
\(241\) | − | 10.0858i | − | 0.649686i | −0.945768 | − | 0.324843i | \(-0.894689\pi\) | ||
0.945768 | − | 0.324843i | \(-0.105311\pi\) | |||||||
\(242\) | 8.25699 | + | 4.76718i | 0.530780 | + | 0.306446i | ||||
\(243\) | −6.18182 | + | 10.7072i | −0.396564 | + | 0.686869i | ||||
\(244\) | −6.87517 | + | 11.9081i | −0.440137 | + | 0.762340i | ||||
\(245\) | 10.7734 | + | 3.35735i | 0.688285 | + | 0.214493i | ||||
\(246\) | 10.3362 | 0.659012 | ||||||||
\(247\) | 2.54689 | + | 13.0272i | 0.162054 | + | 0.828902i | ||||
\(248\) | −36.6282 | + | 63.4420i | −2.32590 | + | 4.02857i | ||||
\(249\) | 1.21084 | − | 0.699078i | 0.0767337 | − | 0.0443022i | ||||
\(250\) | −30.8853 | −1.95336 | ||||||||
\(251\) | −5.17427 | − | 8.96209i | −0.326597 | − | 0.565682i | 0.655237 | − | 0.755423i | \(-0.272569\pi\) |
−0.981834 | + | 0.189741i | \(0.939235\pi\) | |||||||
\(252\) | 20.1317 | + | 27.3603i | 1.26818 | + | 1.72354i | ||||
\(253\) | −4.65242 | + | 2.68607i | −0.292495 | + | 0.168872i | ||||
\(254\) | 7.00363 | + | 4.04355i | 0.439447 | + | 0.253715i | ||||
\(255\) | −2.26310 | − | 1.30660i | −0.141721 | − | 0.0818225i | ||||
\(256\) | −22.1343 | −1.38339 | ||||||||
\(257\) | −7.98658 | −0.498189 | −0.249095 | − | 0.968479i | \(-0.580133\pi\) | ||||
−0.249095 | + | 0.968479i | \(0.580133\pi\) | |||||||
\(258\) | 3.90065 | + | 2.25204i | 0.242844 | + | 0.140206i | ||||
\(259\) | 14.4280 | + | 6.31975i | 0.896511 | + | 0.392690i | ||||
\(260\) | 25.8440 | + | 8.86749i | 1.60278 | + | 0.549939i | ||||
\(261\) | −7.33696 | − | 12.7080i | −0.454146 | − | 0.786604i | ||||
\(262\) | −22.8869 | + | 13.2138i | −1.41396 | + | 0.816349i | ||||
\(263\) | −2.52967 | − | 4.38152i | −0.155986 | − | 0.270176i | 0.777431 | − | 0.628968i | \(-0.216522\pi\) |
−0.933418 | + | 0.358792i | \(0.883189\pi\) | |||||||
\(264\) | 4.90249 | − | 8.49136i | 0.301727 | − | 0.522607i | ||||
\(265\) | − | 11.7127i | − | 0.719503i | ||||||
\(266\) | −14.9431 | − | 20.3087i | −0.916220 | − | 1.24521i | ||||
\(267\) | 0.790192 | − | 0.456218i | 0.0483590 | − | 0.0279201i | ||||
\(268\) | −55.2924 | + | 31.9231i | −3.37752 | + | 1.95001i | ||||
\(269\) | 13.8902 | 0.846902 | 0.423451 | − | 0.905919i | \(-0.360819\pi\) | ||||
0.423451 | + | 0.905919i | \(0.360819\pi\) | |||||||
\(270\) | −6.19983 | − | 10.7384i | −0.377310 | − | 0.653519i | ||||
\(271\) | − | 8.32721i | − | 0.505842i | −0.967487 | − | 0.252921i | \(-0.918609\pi\) | ||
0.967487 | − | 0.252921i | \(-0.0813913\pi\) | |||||||
\(272\) | −27.1900 | −1.64863 | ||||||||
\(273\) | −3.64107 | − | 3.34724i | −0.220368 | − | 0.202584i | ||||
\(274\) | −25.8669 | −1.56267 | ||||||||
\(275\) | 6.49537i | 0.391685i | ||||||||
\(276\) | −2.42022 | − | 4.19194i | −0.145680 | − | 0.252325i | ||||
\(277\) | 23.2116 | 1.39465 | 0.697325 | − | 0.716755i | \(-0.254374\pi\) | ||||
0.697325 | + | 0.716755i | \(0.254374\pi\) | |||||||
\(278\) | 3.73080 | − | 2.15398i | 0.223758 | − | 0.129187i | ||||
\(279\) | 24.7835 | − | 14.3088i | 1.48375 | − | 0.856644i | ||||
\(280\) | −29.6364 | + | 3.29576i | −1.77111 | + | 0.196959i | ||||
\(281\) | 27.1595i | 1.62020i | 0.586292 | + | 0.810100i | \(0.300587\pi\) | ||||
−0.586292 | + | 0.810100i | \(0.699413\pi\) | |||||||
\(282\) | −0.708015 | + | 1.22632i | −0.0421617 | + | 0.0730262i | ||||
\(283\) | −8.07563 | − | 13.9874i | −0.480046 | − | 0.831464i | 0.519692 | − | 0.854354i | \(-0.326047\pi\) |
−0.999738 | + | 0.0228894i | \(0.992713\pi\) | |||||||
\(284\) | −5.50044 | + | 3.17568i | −0.326391 | + | 0.188442i | ||||
\(285\) | 1.53849 | + | 2.66474i | 0.0911323 | + | 0.157846i | ||||
\(286\) | 8.19351 | − | 23.8797i | 0.484493 | − | 1.41204i | ||||
\(287\) | −16.4122 | + | 12.0761i | −0.968782 | + | 0.712828i | ||||
\(288\) | −20.1721 | − | 11.6464i | −1.18865 | − | 0.686270i | ||||
\(289\) | −7.22433 | −0.424960 | ||||||||
\(290\) | 22.4201 | 1.31656 | ||||||||
\(291\) | 6.95151 | + | 4.01345i | 0.407504 | + | 0.235273i | ||||
\(292\) | 37.0603 | + | 21.3968i | 2.16879 | + | 1.25215i | ||||
\(293\) | −12.6831 | + | 7.32260i | −0.740956 | + | 0.427791i | −0.822417 | − | 0.568885i | \(-0.807375\pi\) |
0.0814609 | + | 0.996677i | \(0.474041\pi\) | |||||||
\(294\) | 8.96927 | + | 2.79513i | 0.523098 | + | 0.163015i | ||||
\(295\) | −9.20810 | − | 15.9489i | −0.536116 | − | 0.928580i | ||||
\(296\) | −41.6232 | −2.41930 | ||||||||
\(297\) | −6.96075 | + | 4.01879i | −0.403904 | + | 0.233194i | ||||
\(298\) | 25.6246 | − | 44.3831i | 1.48439 | − | 2.57104i | ||||
\(299\) | −4.70373 | − | 5.39920i | −0.272024 | − | 0.312244i | ||||
\(300\) | −5.85248 | −0.337893 | ||||||||
\(301\) | −8.82474 | + | 0.981368i | −0.508649 | + | 0.0565651i | ||||
\(302\) | −9.75246 | + | 16.8918i | −0.561191 | + | 0.972011i | ||||
\(303\) | −0.331637 | + | 0.574412i | −0.0190521 | + | 0.0329991i | ||||
\(304\) | 27.7263 | + | 16.0078i | 1.59021 | + | 0.918108i | ||||
\(305\) | 4.71537i | 0.270001i | ||||||||
\(306\) | 19.1435 | + | 11.0525i | 1.09436 | + | 0.631830i | ||||
\(307\) | − | 8.97844i | − | 0.512427i | −0.966620 | − | 0.256213i | \(-0.917525\pi\) | ||
0.966620 | − | 0.256213i | \(-0.0824750\pi\) | |||||||
\(308\) | 3.71832 | + | 33.4362i | 0.211871 | + | 1.90521i | ||||
\(309\) | −2.97271 | + | 5.14889i | −0.169112 | + | 0.292910i | ||||
\(310\) | 43.7245i | 2.48338i | ||||||||
\(311\) | 6.09080 | − | 10.5496i | 0.345378 | − | 0.598212i | −0.640045 | − | 0.768338i | \(-0.721084\pi\) |
0.985422 | + | 0.170126i | \(0.0544175\pi\) | |||||||
\(312\) | 12.3620 | + | 4.24161i | 0.699862 | + | 0.240134i | ||||
\(313\) | −6.56198 | − | 11.3657i | −0.370905 | − | 0.642427i | 0.618800 | − | 0.785549i | \(-0.287619\pi\) |
−0.989705 | + | 0.143122i | \(0.954286\pi\) | |||||||
\(314\) | 31.3951 | + | 18.1260i | 1.77173 | + | 1.02291i | ||||
\(315\) | 10.6701 | + | 4.67372i | 0.601191 | + | 0.263334i | ||||
\(316\) | −14.5862 | − | 25.2641i | −0.820540 | − | 1.42122i | ||||
\(317\) | 14.4761 | − | 8.35775i | 0.813056 | − | 0.469418i | −0.0349599 | − | 0.999389i | \(-0.511130\pi\) |
0.848016 | + | 0.529971i | \(0.177797\pi\) | |||||||
\(318\) | − | 9.75127i | − | 0.546824i | ||||||
\(319\) | − | 14.5330i | − | 0.813689i | ||||||
\(320\) | 6.53932 | − | 3.77548i | 0.365559 | − | 0.211056i | ||||
\(321\) | 1.33123 | + | 2.30575i | 0.0743018 | + | 0.128695i | ||||
\(322\) | 12.4592 | + | 5.45737i | 0.694321 | + | 0.304127i | ||||
\(323\) | −9.96849 | − | 5.75531i | −0.554661 | − | 0.320234i | ||||
\(324\) | 15.6374 | + | 27.0847i | 0.868743 | + | 1.50471i | ||||
\(325\) | −8.49708 | + | 1.66122i | −0.471333 | + | 0.0921480i | ||||
\(326\) | 9.28007 | − | 16.0736i | 0.513976 | − | 0.890232i | ||||
\(327\) | − | 0.895821i | − | 0.0495390i | ||||||
\(328\) | 26.9223 | − | 46.6307i | 1.48653 | − | 2.57475i | ||||
\(329\) | −0.308530 | − | 2.77439i | −0.0170098 | − | 0.152957i | ||||
\(330\) | − | 5.85228i | − | 0.322157i | ||||||
\(331\) | −3.43522 | − | 1.98332i | −0.188817 | − | 0.109013i | 0.402612 | − | 0.915371i | \(-0.368102\pi\) |
−0.591428 | + | 0.806357i | \(0.701436\pi\) | |||||||
\(332\) | − | 12.6769i | − | 0.695733i | ||||||
\(333\) | 14.0816 | + | 8.13002i | 0.771668 | + | 0.445523i | ||||
\(334\) | 23.2722 | − | 40.3087i | 1.27340 | − | 2.20559i | ||||
\(335\) | −10.9473 | + | 18.9613i | −0.598116 | + | 1.03597i | ||||
\(336\) | −11.8559 | + | 1.31846i | −0.646794 | + | 0.0719276i | ||||
\(337\) | −13.7032 | −0.746461 | −0.373230 | − | 0.927739i | \(-0.621750\pi\) | ||||
−0.373230 | + | 0.927739i | \(0.621750\pi\) | |||||||
\(338\) | 33.3344 | + | 4.61121i | 1.81315 | + | 0.250817i | ||||
\(339\) | 2.22710 | − | 3.85746i | 0.120960 | − | 0.209508i | ||||
\(340\) | −20.5192 | + | 11.8468i | −1.11281 | + | 0.642481i | ||||
\(341\) | 28.3426 | 1.53484 | ||||||||
\(342\) | −13.0141 | − | 22.5410i | −0.703720 | − | 1.21888i | ||||
\(343\) | −17.5074 | + | 6.04084i | −0.945309 | + | 0.326175i | ||||
\(344\) | 20.3197 | − | 11.7316i | 1.09557 | − | 0.632526i | ||||
\(345\) | −1.43753 | − | 0.829960i | −0.0773942 | − | 0.0446835i | ||||
\(346\) | 28.7209 | + | 16.5820i | 1.54405 | + | 0.891456i | ||||
\(347\) | −26.3979 | −1.41711 | −0.708556 | − | 0.705655i | \(-0.750653\pi\) | ||||
−0.708556 | + | 0.705655i | \(0.750653\pi\) | |||||||
\(348\) | 13.0945 | 0.701941 | ||||||||
\(349\) | −4.23507 | − | 2.44512i | −0.226698 | − | 0.130884i | 0.382350 | − | 0.924018i | \(-0.375115\pi\) |
−0.609048 | + | 0.793133i | \(0.708448\pi\) | |||||||
\(350\) | 13.2465 | − | 9.74673i | 0.708053 | − | 0.520984i | ||||
\(351\) | −7.03753 | − | 8.07806i | −0.375636 | − | 0.431175i | ||||
\(352\) | −11.5345 | − | 19.9784i | −0.614792 | − | 1.06485i | ||||
\(353\) | −11.7413 | + | 6.77886i | −0.624928 | + | 0.360802i | −0.778785 | − | 0.627291i | \(-0.784164\pi\) |
0.153857 | + | 0.988093i | \(0.450830\pi\) | |||||||
\(354\) | −7.66612 | − | 13.2781i | −0.407450 | − | 0.705724i | ||||
\(355\) | −1.08903 | + | 1.88626i | −0.0577997 | + | 0.100112i | ||||
\(356\) | − | 8.27291i | − | 0.438464i | ||||||
\(357\) | 4.26259 | − | 0.474028i | 0.225600 | − | 0.0250882i | ||||
\(358\) | 4.12540 | − | 2.38180i | 0.218034 | − | 0.125882i | ||||
\(359\) | 7.43541 | − | 4.29284i | 0.392426 | − | 0.226567i | −0.290785 | − | 0.956789i | \(-0.593916\pi\) |
0.683211 | + | 0.730221i | \(0.260583\pi\) | |||||||
\(360\) | −30.7821 | −1.62236 | ||||||||
\(361\) | −2.72326 | − | 4.71683i | −0.143330 | − | 0.248254i | ||||
\(362\) | 8.54053i | 0.448880i | ||||||||
\(363\) | 1.90962 | 0.100229 | ||||||||
\(364\) | −42.7895 | + | 13.4157i | −2.24278 | + | 0.703173i | ||||
\(365\) | 14.6751 | 0.768130 | ||||||||
\(366\) | 3.92574i | 0.205202i | ||||||||
\(367\) | 0.831612 | + | 1.44039i | 0.0434098 | + | 0.0751880i | 0.886914 | − | 0.461935i | \(-0.152845\pi\) |
−0.843504 | + | 0.537123i | \(0.819511\pi\) | |||||||
\(368\) | −17.2712 | −0.900324 | ||||||||
\(369\) | −18.2162 | + | 10.5171i | −0.948299 | + | 0.547501i | ||||
\(370\) | −21.5152 | + | 12.4218i | −1.11852 | + | 0.645778i | ||||
\(371\) | 11.3927 | + | 15.4834i | 0.591479 | + | 0.803860i | ||||
\(372\) | 25.5374i | 1.32405i | ||||||||
\(373\) | −6.98174 | + | 12.0927i | −0.361501 | + | 0.626138i | −0.988208 | − | 0.153117i | \(-0.951069\pi\) |
0.626707 | + | 0.779255i | \(0.284402\pi\) | |||||||
\(374\) | 10.9463 | + | 18.9596i | 0.566022 | + | 0.980378i | ||||
\(375\) | −5.35719 | + | 3.09298i | −0.276644 | + | 0.159721i | ||||
\(376\) | 3.68828 | + | 6.38828i | 0.190208 | + | 0.329450i | ||||
\(377\) | 19.0117 | − | 3.71687i | 0.979150 | − | 0.191429i | ||||
\(378\) | 18.6409 | + | 8.16509i | 0.958783 | + | 0.419967i | ||||
\(379\) | −27.3454 | − | 15.7879i | −1.40464 | − | 0.810969i | −0.409775 | − | 0.912187i | \(-0.634393\pi\) |
−0.994864 | + | 0.101218i | \(0.967726\pi\) | |||||||
\(380\) | 27.8985 | 1.43116 | ||||||||
\(381\) | 1.61975 | 0.0829822 | ||||||||
\(382\) | 10.9761 | + | 6.33707i | 0.561588 | + | 0.324233i | ||||
\(383\) | −27.6333 | − | 15.9541i | −1.41200 | − | 0.815217i | −0.416420 | − | 0.909172i | \(-0.636716\pi\) |
−0.995576 | + | 0.0939554i | \(0.970049\pi\) | |||||||
\(384\) | −2.21435 | + | 1.27846i | −0.113001 | + | 0.0652410i | ||||
\(385\) | 6.83739 | + | 9.29247i | 0.348466 | + | 0.473588i | ||||
\(386\) | −3.90762 | − | 6.76820i | −0.198893 | − | 0.344492i | ||||
\(387\) | −9.16588 | −0.465928 | ||||||||
\(388\) | 63.0283 | − | 36.3894i | 3.19978 | − | 1.84739i | ||||
\(389\) | −12.7075 | + | 22.0100i | −0.644296 | + | 1.11595i | 0.340168 | + | 0.940365i | \(0.389516\pi\) |
−0.984464 | + | 0.175589i | \(0.943817\pi\) | |||||||
\(390\) | 7.65581 | − | 1.49675i | 0.387667 | − | 0.0757908i | ||||
\(391\) | 6.20956 | 0.314031 | ||||||||
\(392\) | 35.9718 | − | 33.1836i | 1.81685 | − | 1.67603i | ||||
\(393\) | −2.64656 | + | 4.58398i | −0.133501 | + | 0.231231i | ||||
\(394\) | 6.01838 | − | 10.4241i | 0.303202 | − | 0.525161i | ||||
\(395\) | −8.66376 | − | 5.00203i | −0.435921 | − | 0.251679i | ||||
\(396\) | 34.7288i | 1.74519i | ||||||||
\(397\) | −3.60178 | − | 2.07949i | −0.180768 | − | 0.104366i | 0.406885 | − | 0.913479i | \(-0.366615\pi\) |
−0.587653 | + | 0.809113i | \(0.699948\pi\) | |||||||
\(398\) | 1.06319i | 0.0532930i | ||||||||
\(399\) | −4.62574 | − | 2.02617i | −0.231577 | − | 0.101435i | ||||
\(400\) | −10.4412 | + | 18.0846i | −0.522058 | + | 0.904231i | ||||
\(401\) | − | 19.6013i | − | 0.978844i | −0.872047 | − | 0.489422i | \(-0.837208\pi\) | ||
0.872047 | − | 0.489422i | \(-0.162792\pi\) | |||||||
\(402\) | −9.11409 | + | 15.7861i | −0.454569 | + | 0.787337i | ||||
\(403\) | 7.24877 | + | 37.0772i | 0.361087 | + | 1.84695i | ||||
\(404\) | 3.00691 | + | 5.20811i | 0.149599 | + | 0.259113i | ||||
\(405\) | 9.28811 | + | 5.36249i | 0.461530 | + | 0.266464i | ||||
\(406\) | −29.6381 | + | 21.8077i | −1.47091 | + | 1.08230i | ||||
\(407\) | 8.05193 | + | 13.9463i | 0.399119 | + | 0.691295i | ||||
\(408\) | −9.81500 | + | 5.66669i | −0.485915 | + | 0.280543i | ||||
\(409\) | 17.6337i | 0.871930i | 0.899964 | + | 0.435965i | \(0.143593\pi\) | ||||
−0.899964 | + | 0.435965i | \(0.856407\pi\) | |||||||
\(410\) | − | 32.1381i | − | 1.58719i | ||||||
\(411\) | −4.48673 | + | 2.59041i | −0.221314 | + | 0.127776i | ||||
\(412\) | 26.9532 | + | 46.6842i | 1.32789 | + | 2.29997i | ||||
\(413\) | 27.6858 | + | 12.1269i | 1.36233 | + | 0.596727i | ||||
\(414\) | 12.1601 | + | 7.02061i | 0.597634 | + | 0.345044i | ||||
\(415\) | −2.17363 | − | 3.76483i | −0.106699 | − | 0.184808i | ||||
\(416\) | 23.1852 | − | 20.1987i | 1.13675 | − | 0.990324i | ||||
\(417\) | 0.431416 | − | 0.747234i | 0.0211265 | − | 0.0365922i | ||||
\(418\) | − | 25.7781i | − | 1.26085i | ||||||
\(419\) | −14.9455 | + | 25.8864i | −0.730137 | + | 1.26463i | 0.226688 | + | 0.973968i | \(0.427210\pi\) |
−0.956824 | + | 0.290666i | \(0.906123\pi\) | |||||||
\(420\) | −8.37274 | + | 6.16065i | −0.408548 | + | 0.300609i | ||||
\(421\) | 12.8528i | 0.626407i | 0.949686 | + | 0.313203i | \(0.101402\pi\) | ||||
−0.949686 | + | 0.313203i | \(0.898598\pi\) | |||||||
\(422\) | −16.8493 | − | 9.72796i | −0.820212 | − | 0.473550i | ||||
\(423\) | − | 2.88164i | − | 0.140110i | ||||||
\(424\) | −43.9919 | − | 25.3987i | −2.13644 | − | 1.23347i | ||||
\(425\) | 3.75393 | − | 6.50200i | 0.182093 | − | 0.315394i | ||||
\(426\) | −0.906662 | + | 1.57038i | −0.0439279 | + | 0.0760854i | ||||
\(427\) | −4.58656 | − | 6.23344i | −0.221959 | − | 0.301657i | ||||
\(428\) | 24.1401 | 1.16685 | ||||||||
\(429\) | −0.970207 | − | 4.96257i | −0.0468421 | − | 0.239595i | ||||
\(430\) | 7.00223 | − | 12.1282i | 0.337677 | − | 0.584874i | ||||
\(431\) | 7.76876 | − | 4.48530i | 0.374208 | − | 0.216049i | −0.301087 | − | 0.953597i | \(-0.597350\pi\) |
0.675295 | + | 0.737547i | \(0.264016\pi\) | |||||||
\(432\) | −25.8405 | −1.24325 | ||||||||
\(433\) | −1.72531 | − | 2.98833i | −0.0829132 | − | 0.143610i | 0.821587 | − | 0.570083i | \(-0.193089\pi\) |
−0.904500 | + | 0.426473i | \(0.859756\pi\) | |||||||
\(434\) | −42.5300 | − | 57.8012i | −2.04151 | − | 2.77454i | ||||
\(435\) | 3.88887 | − | 2.24524i | 0.186457 | − | 0.107651i | ||||
\(436\) | −7.03410 | − | 4.06114i | −0.336872 | − | 0.194493i | ||||
\(437\) | −6.33204 | − | 3.65580i | −0.302902 | − | 0.174881i | ||||
\(438\) | 12.2176 | 0.583780 | ||||||||
\(439\) | 38.5144 | 1.83819 | 0.919096 | − | 0.394034i | \(-0.128921\pi\) | ||||
0.919096 | + | 0.394034i | \(0.128921\pi\) | |||||||
\(440\) | −26.4020 | − | 15.2432i | −1.25867 | − | 0.726691i | ||||
\(441\) | −18.6513 | + | 4.20023i | −0.888155 | + | 0.200011i | ||||
\(442\) | −22.0029 | + | 19.1687i | −1.04657 | + | 0.911764i | ||||
\(443\) | 7.51997 | + | 13.0250i | 0.357284 | + | 0.618835i | 0.987506 | − | 0.157580i | \(-0.0503693\pi\) |
−0.630222 | + | 0.776415i | \(0.717036\pi\) | |||||||
\(444\) | −12.5660 | + | 7.25498i | −0.596356 | + | 0.344306i | ||||
\(445\) | −1.41851 | − | 2.45693i | −0.0672437 | − | 0.116469i | ||||
\(446\) | −29.2246 | + | 50.6185i | −1.38382 | + | 2.39685i | ||||
\(447\) | − | 10.2646i | − | 0.485499i | ||||||
\(448\) | −4.97225 | + | 11.3516i | −0.234917 | + | 0.536314i | ||||
\(449\) | 33.7087 | − | 19.4617i | 1.59081 | − | 0.918456i | 0.597646 | − | 0.801760i | \(-0.296103\pi\) |
0.993168 | − | 0.116696i | \(-0.0372304\pi\) | |||||||
\(450\) | 14.7025 | − | 8.48850i | 0.693083 | − | 0.400152i | ||||
\(451\) | −20.8322 | −0.980952 | ||||||||
\(452\) | −20.1928 | − | 34.9750i | −0.949790 | − | 1.64509i | ||||
\(453\) | 3.90660i | 0.183548i | ||||||||
\(454\) | −35.3906 | −1.66097 | ||||||||
\(455\) | −10.4075 | + | 11.3211i | −0.487911 | + | 0.530741i | ||||
\(456\) | 13.3448 | 0.624927 | ||||||||
\(457\) | − | 13.9396i | − | 0.652069i | −0.945358 | − | 0.326034i | \(-0.894287\pi\) | ||
0.945358 | − | 0.326034i | \(-0.105713\pi\) | |||||||
\(458\) | −10.2649 | − | 17.7793i | −0.479648 | − | 0.830774i | ||||
\(459\) | 9.29049 | 0.433643 | ||||||||
\(460\) | −13.0339 | + | 7.52512i | −0.607709 | + | 0.350861i | ||||
\(461\) | 32.4443 | − | 18.7317i | 1.51108 | − | 0.872424i | 0.511167 | − | 0.859481i | \(-0.329213\pi\) |
0.999916 | − | 0.0129430i | \(-0.00412001\pi\) | |||||||
\(462\) | 5.69241 | + | 7.73637i | 0.264835 | + | 0.359928i | ||||
\(463\) | − | 6.75275i | − | 0.313827i | −0.987612 | − | 0.156913i | \(-0.949846\pi\) | ||
0.987612 | − | 0.156913i | \(-0.0501544\pi\) | |||||||
\(464\) | 23.3614 | − | 40.4631i | 1.08453 | − | 1.87845i | ||||
\(465\) | 4.37875 | + | 7.58421i | 0.203059 | + | 0.351709i | ||||
\(466\) | −14.7324 | + | 8.50576i | −0.682466 | + | 0.394022i | ||||
\(467\) | 2.52516 | + | 4.37371i | 0.116851 | + | 0.202391i | 0.918518 | − | 0.395379i | \(-0.129387\pi\) |
−0.801667 | + | 0.597770i | \(0.796053\pi\) | |||||||
\(468\) | −45.4314 | + | 8.88205i | −2.10006 | + | 0.410573i | ||||
\(469\) | −3.97162 | − | 35.7140i | −0.183393 | − | 1.64912i | ||||
\(470\) | 3.81296 | + | 2.20141i | 0.175879 | + | 0.101544i | ||||
\(471\) | 7.26084 | 0.334562 | ||||||||
\(472\) | −79.8705 | −3.67634 | ||||||||
\(473\) | −7.86163 | − | 4.53892i | −0.361478 | − | 0.208700i | ||||
\(474\) | −7.21294 | − | 4.16439i | −0.331301 | − | 0.191277i | ||||
\(475\) | −7.65595 | + | 4.42017i | −0.351279 | + | 0.202811i | ||||
\(476\) | 15.6020 | − | 35.6194i | 0.715117 | − | 1.63261i | ||||
\(477\) | 9.92198 | + | 17.1854i | 0.454296 | + | 0.786864i | ||||
\(478\) | 24.3143 | 1.11211 | ||||||||
\(479\) | 8.18670 | − | 4.72659i | 0.374060 | − | 0.215964i | −0.301171 | − | 0.953570i | \(-0.597377\pi\) |
0.675231 | + | 0.737607i | \(0.264044\pi\) | |||||||
\(480\) | 3.56401 | − | 6.17304i | 0.162674 | − | 0.281759i | ||||
\(481\) | −16.1850 | + | 14.1002i | −0.737971 | + | 0.642913i | ||||
\(482\) | −26.1082 | −1.18920 | ||||||||
\(483\) | 2.70762 | − | 0.301105i | 0.123201 | − | 0.0137007i | ||||
\(484\) | 8.65711 | − | 14.9946i | 0.393505 | − | 0.681571i | ||||
\(485\) | 12.4789 | − | 21.6142i | 0.566639 | − | 0.981448i | ||||
\(486\) | 27.7167 | + | 16.0023i | 1.25726 | + | 0.725877i | ||||
\(487\) | − | 39.9996i | − | 1.81255i | −0.422684 | − | 0.906277i | \(-0.638912\pi\) | ||
0.422684 | − | 0.906277i | \(-0.361088\pi\) | |||||||
\(488\) | 17.7106 | + | 10.2252i | 0.801721 | + | 0.462874i | ||||
\(489\) | − | 3.71737i | − | 0.168105i | ||||||
\(490\) | 8.69084 | − | 27.8879i | 0.392612 | − | 1.25985i | ||||
\(491\) | −3.38049 | + | 5.85517i | −0.152559 | + | 0.264240i | −0.932168 | − | 0.362027i | \(-0.882085\pi\) |
0.779608 | + | 0.626267i | \(0.215418\pi\) | |||||||
\(492\) | − | 18.7704i | − | 0.846233i | ||||||
\(493\) | −8.39918 | + | 14.5478i | −0.378280 | + | 0.655200i | ||||
\(494\) | 33.7223 | − | 6.59287i | 1.51724 | − | 0.296627i | ||||
\(495\) | 5.95473 | + | 10.3139i | 0.267645 | + | 0.463575i | ||||
\(496\) | 78.9125 | + | 45.5602i | 3.54328 | + | 2.04571i | ||||
\(497\) | −0.395094 | − | 3.55280i | −0.0177224 | − | 0.159365i | ||||
\(498\) | −1.80963 | − | 3.13438i | −0.0810916 | − | 0.140455i | ||||
\(499\) | −9.83591 | + | 5.67877i | −0.440316 | + | 0.254217i | −0.703732 | − | 0.710466i | \(-0.748484\pi\) |
0.263416 | + | 0.964682i | \(0.415151\pi\) | |||||||
\(500\) | 56.0871i | 2.50829i | ||||||||
\(501\) | − | 9.32230i | − | 0.416490i | ||||||
\(502\) | −23.1993 | + | 13.3941i | −1.03543 | + | 0.597808i | ||||
\(503\) | 6.96423 | + | 12.0624i | 0.310520 | + | 0.537836i | 0.978475 | − | 0.206365i | \(-0.0661635\pi\) |
−0.667955 | + | 0.744202i | \(0.732830\pi\) | |||||||
\(504\) | 40.6921 | − | 29.9412i | 1.81257 | − | 1.33369i | ||||
\(505\) | 1.78601 | + | 1.03115i | 0.0794763 | + | 0.0458857i | ||||
\(506\) | 6.95317 | + | 12.0432i | 0.309106 | + | 0.535388i | ||||
\(507\) | 6.24379 | − | 2.53840i | 0.277296 | − | 0.112734i | ||||
\(508\) | 7.34301 | − | 12.7185i | 0.325793 | − | 0.564290i | ||||
\(509\) | 19.8149i | 0.878281i | 0.898418 | + | 0.439141i | \(0.144717\pi\) | ||||
−0.898418 | + | 0.439141i | \(0.855283\pi\) | |||||||
\(510\) | −3.38227 | + | 5.85826i | −0.149769 | + | 0.259408i | ||||
\(511\) | −19.3996 | + | 14.2742i | −0.858188 | + | 0.631453i | ||||
\(512\) | 47.4335i | 2.09628i | ||||||||
\(513\) | −9.47373 | − | 5.46966i | −0.418276 | − | 0.241491i | ||||
\(514\) | 20.6741i | 0.911894i | ||||||||
\(515\) | 16.0093 | + | 9.24299i | 0.705455 | + | 0.407295i | ||||
\(516\) | 4.08967 | − | 7.08352i | 0.180038 | − | 0.311835i | ||||
\(517\) | 1.42698 | − | 2.47160i | 0.0627585 | − | 0.108701i | ||||
\(518\) | 16.3593 | − | 37.3483i | 0.718787 | − | 1.64099i | ||||
\(519\) | 6.64237 | 0.291568 | ||||||||
\(520\) | 13.1883 | − | 38.4370i | 0.578347 | − | 1.68557i | ||||
\(521\) | 15.5476 | − | 26.9292i | 0.681151 | − | 1.17979i | −0.293479 | − | 0.955966i | \(-0.594813\pi\) |
0.974630 | − | 0.223823i | \(-0.0718537\pi\) | |||||||
\(522\) | −32.8959 | + | 18.9924i | −1.43981 | + | 0.831277i | ||||
\(523\) | 22.7202 | 0.993485 | 0.496742 | − | 0.867898i | \(-0.334529\pi\) | ||||
0.496742 | + | 0.867898i | \(0.334529\pi\) | |||||||
\(524\) | 23.9960 | + | 41.5622i | 1.04827 | + | 1.81565i | ||||
\(525\) | 1.32158 | − | 3.01717i | 0.0576786 | − | 0.131680i | ||||
\(526\) | −11.3420 | + | 6.54831i | −0.494535 | + | 0.285520i | ||||
\(527\) | −28.3716 | − | 16.3804i | −1.23589 | − | 0.713540i | ||||
\(528\) | −10.5620 | − | 6.09798i | −0.459652 | − | 0.265380i | ||||
\(529\) | −19.0557 | −0.828507 | ||||||||
\(530\) | −30.3194 | −1.31699 | ||||||||
\(531\) | 27.0211 | + | 15.6007i | 1.17262 | + | 0.677011i | ||||
\(532\) | −36.8802 | + | 27.1364i | −1.59896 | + | 1.17651i | ||||
\(533\) | −5.32794 | − | 27.2522i | −0.230779 | − | 1.18043i | ||||
\(534\) | −1.18097 | − | 2.04549i | −0.0511054 | − | 0.0885171i | ||||
\(535\) | 7.16922 | − | 4.13915i | 0.309952 | − | 0.178951i | ||||
\(536\) | 47.4782 | + | 82.2346i | 2.05074 | + | 3.55199i | ||||
\(537\) | 0.477046 | − | 0.826267i | 0.0205860 | − | 0.0356561i | ||||
\(538\) | − | 35.9563i | − | 1.55018i | ||||||
\(539\) | −18.0772 | − | 5.63349i | −0.778642 | − | 0.242651i | ||||
\(540\) | −19.5008 | + | 11.2588i | −0.839180 | + | 0.484501i | ||||
\(541\) | 1.81754 | − | 1.04936i | 0.0781423 | − | 0.0451155i | −0.460420 | − | 0.887701i | \(-0.652301\pi\) |
0.538562 | + | 0.842586i | \(0.318968\pi\) | |||||||
\(542\) | −21.5558 | −0.925902 | ||||||||
\(543\) | 0.855283 | + | 1.48139i | 0.0367037 | + | 0.0635727i | ||||
\(544\) | 26.6650i | 1.14325i | ||||||||
\(545\) | −2.78536 | −0.119312 | ||||||||
\(546\) | −8.66467 | + | 9.42528i | −0.370813 | + | 0.403365i | ||||
\(547\) | 25.3770 | 1.08504 | 0.542521 | − | 0.840042i | \(-0.317470\pi\) | ||||
0.542521 | + | 0.840042i | \(0.317470\pi\) | |||||||
\(548\) | 46.9738i | 2.00662i | ||||||||
\(549\) | −3.99447 | − | 6.91862i | −0.170480 | − | 0.295280i | ||||
\(550\) | 16.8139 | 0.716948 | ||||||||
\(551\) | 17.1297 | − | 9.88983i | 0.729749 | − | 0.421321i | ||||
\(552\) | −6.23454 | + | 3.59951i | −0.265360 | + | 0.153205i | ||||
\(553\) | 16.3184 | − | 1.81471i | 0.693927 | − | 0.0771692i | ||||
\(554\) | − | 60.0855i | − | 2.55279i | ||||||
\(555\) | −2.48794 | + | 4.30923i | −0.105607 | + | 0.182917i | ||||
\(556\) | −3.91158 | − | 6.77506i | −0.165888 | − | 0.287327i | ||||
\(557\) | −38.3219 | + | 22.1252i | −1.62375 | + | 0.937473i | −0.637846 | + | 0.770164i | \(0.720174\pi\) |
−0.985904 | + | 0.167309i | \(0.946492\pi\) | |||||||
\(558\) | −37.0397 | − | 64.1547i | −1.56802 | − | 2.71588i | ||||
\(559\) | 3.92705 | − | 11.4452i | 0.166097 | − | 0.484082i | ||||
\(560\) | 4.09944 | + | 36.8634i | 0.173233 | + | 1.55776i | ||||
\(561\) | 3.79738 | + | 2.19242i | 0.160326 | + | 0.0925641i | ||||
\(562\) | 70.3051 | 2.96564 | ||||||||
\(563\) | 38.8907 | 1.63905 | 0.819523 | − | 0.573046i | \(-0.194238\pi\) | ||||
0.819523 | + | 0.573046i | \(0.194238\pi\) | |||||||
\(564\) | 2.22697 | + | 1.28574i | 0.0937725 | + | 0.0541396i | ||||
\(565\) | −11.9939 | − | 6.92468i | −0.504587 | − | 0.291324i | ||||
\(566\) | −36.2078 | + | 20.9046i | −1.52193 | + | 0.878685i | ||||
\(567\) | −17.4943 | + | 1.94548i | −0.734693 | + | 0.0817026i | ||||
\(568\) | 4.72309 | + | 8.18063i | 0.198177 | + | 0.343252i | ||||
\(569\) | −46.1579 | −1.93504 | −0.967520 | − | 0.252796i | \(-0.918650\pi\) | ||||
−0.967520 | + | 0.252796i | \(0.918650\pi\) | |||||||
\(570\) | 6.89796 | − | 3.98254i | 0.288924 | − | 0.166810i | ||||
\(571\) | 10.5684 | − | 18.3050i | 0.442274 | − | 0.766041i | −0.555584 | − | 0.831461i | \(-0.687505\pi\) |
0.997858 | + | 0.0654194i | \(0.0208385\pi\) | |||||||
\(572\) | −43.3651 | − | 14.8793i | −1.81319 | − | 0.622134i | ||||
\(573\) | 2.53848 | 0.106047 | ||||||||
\(574\) | 31.2601 | + | 42.4846i | 1.30477 | + | 1.77327i | ||||
\(575\) | 2.38452 | − | 4.13011i | 0.0994413 | − | 0.172237i | ||||
\(576\) | −6.39653 | + | 11.0791i | −0.266522 | + | 0.461630i | ||||
\(577\) | 21.9368 | + | 12.6652i | 0.913239 | + | 0.527259i | 0.881472 | − | 0.472237i | \(-0.156553\pi\) |
0.0317671 | + | 0.999495i | \(0.489887\pi\) | |||||||
\(578\) | 18.7009i | 0.777855i | ||||||||
\(579\) | −1.35559 | − | 0.782650i | −0.0563364 | − | 0.0325258i | ||||
\(580\) | − | 40.7146i | − | 1.69058i | ||||||
\(581\) | 6.53539 | + | 2.86263i | 0.271133 | + | 0.118762i | ||||
\(582\) | 10.3892 | − | 17.9947i | 0.430647 | − | 0.745903i | ||||
\(583\) | 19.6533i | 0.813958i | ||||||||
\(584\) | 31.8227 | − | 55.1186i | 1.31683 | − | 2.28082i | ||||
\(585\) | −11.9694 | + | 10.4277i | −0.494876 | + | 0.431131i | ||||
\(586\) | 18.9553 | + | 32.8315i | 0.783036 | + | 1.35626i | ||||
\(587\) | 3.08554 | + | 1.78144i | 0.127354 | + | 0.0735278i | 0.562324 | − | 0.826917i | \(-0.309908\pi\) |
−0.434970 | + | 0.900445i | \(0.643241\pi\) | |||||||
\(588\) | 5.07591 | − | 16.2880i | 0.209327 | − | 0.671707i | ||||
\(589\) | 19.2875 | + | 33.4069i | 0.794727 | + | 1.37651i | ||||
\(590\) | −41.2853 | + | 23.8361i | −1.69969 | + | 0.981316i | ||||
\(591\) | − | 2.41082i | − | 0.0991679i | ||||||
\(592\) | 51.7732i | 2.12786i | ||||||||
\(593\) | 21.9568 | − | 12.6768i | 0.901659 | − | 0.520573i | 0.0239212 | − | 0.999714i | \(-0.492385\pi\) |
0.877738 | + | 0.479141i | \(0.159052\pi\) | |||||||
\(594\) | 10.4030 | + | 18.0186i | 0.426842 | + | 0.739312i | ||||
\(595\) | −1.47388 | − | 13.2536i | −0.0604233 | − | 0.543343i | ||||
\(596\) | −80.5990 | − | 46.5338i | −3.30146 | − | 1.90610i | ||||
\(597\) | 0.106472 | + | 0.184415i | 0.00435762 | + | 0.00754762i | ||||
\(598\) | −13.9764 | + | 12.1761i | −0.571537 | + | 0.497917i | ||||
\(599\) | −5.46078 | + | 9.45835i | −0.223122 | + | 0.386458i | −0.955754 | − | 0.294166i | \(-0.904958\pi\) |
0.732633 | + | 0.680624i | \(0.238291\pi\) | |||||||
\(600\) | 8.70421i | 0.355348i | ||||||||
\(601\) | −12.1282 | + | 21.0067i | −0.494720 | + | 0.856880i | −0.999981 | − | 0.00608649i | \(-0.998063\pi\) |
0.505262 | + | 0.862966i | \(0.331396\pi\) | |||||||
\(602\) | 2.54037 | + | 22.8437i | 0.103538 | + | 0.931040i | ||||
\(603\) | − | 37.0946i | − | 1.51061i | ||||||
\(604\) | 30.6751 | + | 17.7103i | 1.24815 | + | 0.720621i | ||||
\(605\) | − | 5.93753i | − | 0.241395i | ||||||
\(606\) | 1.48692 | + | 0.858476i | 0.0604022 | + | 0.0348732i | ||||
\(607\) | 4.92724 | − | 8.53422i | 0.199990 | − | 0.346393i | −0.748535 | − | 0.663096i | \(-0.769242\pi\) |
0.948525 | + | 0.316702i | \(0.102576\pi\) | |||||||
\(608\) | 15.6987 | − | 27.1910i | 0.636667 | − | 1.10274i | ||||
\(609\) | −2.95695 | + | 6.75071i | −0.119822 | + | 0.273553i | ||||
\(610\) | 12.2062 | 0.494215 | ||||||||
\(611\) | 3.59825 | + | 1.23462i | 0.145569 | + | 0.0499472i | ||||
\(612\) | 20.0712 | − | 34.7643i | 0.811328 | − | 1.40526i | ||||
\(613\) | −3.18428 | + | 1.83844i | −0.128612 | + | 0.0742540i | −0.562926 | − | 0.826508i | \(-0.690324\pi\) |
0.434314 | + | 0.900762i | \(0.356991\pi\) | |||||||
\(614\) | −23.2416 | −0.937955 | ||||||||
\(615\) | −3.21844 | − | 5.57450i | −0.129780 | − | 0.224785i | ||||
\(616\) | 49.7286 | − | 5.53015i | 2.00362 | − | 0.222816i | ||||
\(617\) | 16.2352 | − | 9.37341i | 0.653605 | − | 0.377359i | −0.136231 | − | 0.990677i | \(-0.543499\pi\) |
0.789836 | + | 0.613318i | \(0.210166\pi\) | |||||||
\(618\) | 13.3284 | + | 7.69517i | 0.536148 | + | 0.309545i | ||||
\(619\) | 13.7650 | + | 7.94725i | 0.553264 | + | 0.319427i | 0.750437 | − | 0.660942i | \(-0.229843\pi\) |
−0.197174 | + | 0.980369i | \(0.563176\pi\) | |||||||
\(620\) | 79.4029 | 3.18890 | ||||||||
\(621\) | 5.90137 | 0.236814 | ||||||||
\(622\) | −27.3086 | − | 15.7667i | −1.09498 | − | 0.632185i | ||||
\(623\) | 4.26499 | + | 1.86815i | 0.170873 | + | 0.0748460i | ||||
\(624\) | 5.27594 | − | 15.3765i | 0.211207 | − | 0.615555i | ||||
\(625\) | 3.61371 | + | 6.25913i | 0.144549 | + | 0.250365i | ||||
\(626\) | −29.4212 | + | 16.9864i | −1.17591 | + | 0.678911i | ||||
\(627\) | −2.58152 | − | 4.47133i | −0.103096 | − | 0.178568i | ||||
\(628\) | 32.9165 | − | 57.0130i | 1.31351 | − | 2.27507i | ||||
\(629\) | − | 18.6141i | − | 0.742194i | ||||||
\(630\) | 12.0984 | − | 27.6206i | 0.482011 | − | 1.10043i | ||||
\(631\) | −17.0998 | + | 9.87255i | −0.680731 | + | 0.393020i | −0.800130 | − | 0.599826i | \(-0.795236\pi\) |
0.119400 | + | 0.992846i | \(0.461903\pi\) | |||||||
\(632\) | −37.5745 | + | 21.6936i | −1.49463 | + | 0.862927i | ||||
\(633\) | −3.89679 | −0.154883 | ||||||||
\(634\) | −21.6349 | − | 37.4727i | −0.859231 | − | 1.48823i | ||||
\(635\) | − | 5.03624i | − | 0.199857i | ||||||
\(636\) | −17.7081 | −0.702173 | ||||||||
\(637\) | 2.74625 | − | 25.0890i | 0.108811 | − | 0.994063i | ||||
\(638\) | −37.6200 | −1.48939 | ||||||||
\(639\) | − | 3.69014i | − | 0.145980i | ||||||
\(640\) | 3.97508 | + | 6.88504i | 0.157129 | + | 0.272155i | ||||
\(641\) | 29.7786 | 1.17618 | 0.588092 | − | 0.808794i | \(-0.299879\pi\) | ||||
0.588092 | + | 0.808794i | \(0.299879\pi\) | |||||||
\(642\) | 5.96867 | − | 3.44601i | 0.235565 | − | 0.136003i | ||||
\(643\) | 10.0220 | − | 5.78623i | 0.395231 | − | 0.228187i | −0.289193 | − | 0.957271i | \(-0.593387\pi\) |
0.684424 | + | 0.729084i | \(0.260054\pi\) | |||||||
\(644\) | 9.91048 | − | 22.6256i | 0.390528 | − | 0.891574i | ||||
\(645\) | − | 2.80493i | − | 0.110444i | ||||||
\(646\) | −14.8982 | + | 25.8044i | −0.586162 | + | 1.01526i | ||||
\(647\) | 12.7533 | + | 22.0893i | 0.501382 | + | 0.868420i | 0.999999 | + | 0.00159698i | \(0.000508335\pi\) |
−0.498616 | + | 0.866823i | \(0.666158\pi\) | |||||||
\(648\) | 40.2823 | − | 23.2570i | 1.58244 | − | 0.913620i | ||||
\(649\) | 15.4508 | + | 26.7616i | 0.606497 | + | 1.05048i | ||||
\(650\) | 4.30024 | + | 21.9956i | 0.168669 | + | 0.862737i | ||||
\(651\) | −13.1655 | − | 5.76675i | −0.515995 | − | 0.226017i | ||||
\(652\) | −29.1893 | − | 16.8524i | −1.14314 | − | 0.659993i | ||||
\(653\) | −44.8293 | −1.75430 | −0.877152 | − | 0.480212i | \(-0.840560\pi\) | ||||
−0.877152 | + | 0.480212i | \(0.840560\pi\) | |||||||
\(654\) | −2.31892 | −0.0906771 | ||||||||
\(655\) | 14.2529 | + | 8.22889i | 0.556905 | + | 0.321529i | ||||
\(656\) | −58.0018 | − | 33.4874i | −2.26459 | − | 1.30746i | ||||
\(657\) | −21.5320 | + | 12.4315i | −0.840043 | + | 0.484999i | ||||
\(658\) | −7.18179 | + | 0.798661i | −0.279975 | + | 0.0311350i | ||||
\(659\) | −20.5867 | − | 35.6572i | −0.801944 | − | 1.38901i | −0.918335 | − | 0.395805i | \(-0.870466\pi\) |
0.116390 | − | 0.993204i | \(-0.462868\pi\) | |||||||
\(660\) | −10.6276 | −0.413680 | ||||||||
\(661\) | −18.9606 | + | 10.9469i | −0.737481 | + | 0.425785i | −0.821153 | − | 0.570709i | \(-0.806669\pi\) |
0.0836719 | + | 0.996493i | \(0.473335\pi\) | |||||||
\(662\) | −5.13404 | + | 8.89241i | −0.199540 | + | 0.345613i | ||||
\(663\) | −1.89687 | + | 5.52837i | −0.0736684 | + | 0.214704i | ||||
\(664\) | −18.8539 | −0.731673 | ||||||||
\(665\) | −6.29993 | + | 14.3827i | −0.244301 | + | 0.557738i | ||||
\(666\) | 21.0454 | − | 36.4517i | 0.815492 | − | 1.41247i | ||||
\(667\) | −5.33520 | + | 9.24084i | −0.206580 | + | 0.357807i | ||||
\(668\) | −73.1999 | − | 42.2620i | −2.83219 | − | 1.63516i | ||||
\(669\) | 11.7067i | 0.452606i | ||||||||
\(670\) | 49.0832 | + | 28.3382i | 1.89625 | + | 1.09480i | ||||
\(671\) | − | 7.91219i | − | 0.305447i | ||||||
\(672\) | 1.29300 | + | 11.6270i | 0.0498786 | + | 0.448523i | ||||
\(673\) | 17.8344 | − | 30.8901i | 0.687466 | − | 1.19073i | −0.285189 | − | 0.958471i | \(-0.592056\pi\) |
0.972655 | − | 0.232254i | \(-0.0746102\pi\) | |||||||
\(674\) | 35.4721i | 1.36633i | ||||||||
\(675\) | 3.56762 | − | 6.17930i | 0.137318 | − | 0.237841i | ||||
\(676\) | 8.37388 | − | 60.5347i | 0.322072 | − | 2.32826i | ||||
\(677\) | −1.27766 | − | 2.21297i | −0.0491044 | − | 0.0850514i | 0.840428 | − | 0.541923i | \(-0.182303\pi\) |
−0.889533 | + | 0.456871i | \(0.848970\pi\) | |||||||
\(678\) | −9.98541 | − | 5.76508i | −0.383488 | − | 0.221407i | ||||
\(679\) | 4.52729 | + | 40.7107i | 0.173741 | + | 1.56233i | ||||
\(680\) | 17.6193 | + | 30.5175i | 0.675670 | + | 1.17029i | ||||
\(681\) | −6.13867 | + | 3.54416i | −0.235234 | + | 0.135813i | ||||
\(682\) | − | 73.3678i | − | 2.80940i | ||||||
\(683\) | 35.7399i | 1.36755i | 0.729693 | + | 0.683775i | \(0.239663\pi\) | ||||
−0.729693 | + | 0.683775i | \(0.760337\pi\) | |||||||
\(684\) | −40.9341 | + | 23.6333i | −1.56515 | + | 0.903642i | ||||
\(685\) | 8.05431 | + | 13.9505i | 0.307739 | + | 0.533020i | ||||
\(686\) | 15.6373 | + | 45.3196i | 0.597036 | + | 1.73031i | ||||
\(687\) | −3.56099 | − | 2.05594i | −0.135860 | − | 0.0784390i | ||||
\(688\) | −14.5924 | − | 25.2748i | −0.556330 | − | 0.963592i | ||||
\(689\) | −25.7100 | + | 5.02643i | −0.979474 | + | 0.191492i | ||||
\(690\) | −2.14843 | + | 3.72120i | −0.0817895 | + | 0.141664i | ||||
\(691\) | 26.0292i | 0.990197i | 0.868837 | + | 0.495099i | \(0.164868\pi\) | ||||
−0.868837 | + | 0.495099i | \(0.835132\pi\) | |||||||
\(692\) | 30.1127 | − | 52.1567i | 1.14471 | − | 1.98270i | ||||
\(693\) | −17.9039 | − | 7.84230i | −0.680115 | − | 0.297904i | ||||
\(694\) | 68.3335i | 2.59391i | ||||||||
\(695\) | −2.32336 | − | 1.34139i | −0.0881299 | − | 0.0508818i | ||||
\(696\) | − | 19.4751i | − | 0.738202i | ||||||
\(697\) | 20.8535 | + | 12.0398i | 0.789884 | + | 0.456040i | ||||
\(698\) | −6.32944 | + | 10.9629i | −0.239573 | + | 0.414952i | ||||
\(699\) | −1.70360 | + | 2.95073i | −0.0644362 | + | 0.111607i | ||||
\(700\) | −17.6999 | − | 24.0553i | −0.668993 | − | 0.909206i | ||||
\(701\) | −1.12731 | −0.0425779 | −0.0212890 | − | 0.999773i | \(-0.506777\pi\) | ||||
−0.0212890 | + | 0.999773i | \(0.506777\pi\) | |||||||
\(702\) | −20.9109 | + | 18.2174i | −0.789230 | + | 0.687570i | ||||
\(703\) | −10.9588 | + | 18.9813i | −0.413321 | + | 0.715892i | ||||
\(704\) | −10.9727 | + | 6.33509i | −0.413549 | + | 0.238763i | ||||
\(705\) | 0.881834 | 0.0332118 | ||||||||
\(706\) | 17.5478 | + | 30.3936i | 0.660419 | + | 1.14388i | ||||
\(707\) | −3.36398 | + | 0.374096i | −0.126515 | + | 0.0140693i | ||||
\(708\) | −24.1128 | + | 13.9215i | −0.906215 | + | 0.523203i | ||||
\(709\) | −5.23972 | − | 3.02515i | −0.196782 | − | 0.113612i | 0.398372 | − | 0.917224i | \(-0.369575\pi\) |
−0.595153 | + | 0.803612i | \(0.702909\pi\) | |||||||
\(710\) | 4.88276 | + | 2.81906i | 0.183247 | + | 0.105798i | ||||
\(711\) | 16.9492 | 0.635644 | ||||||||
\(712\) | −12.3040 | −0.461114 | ||||||||
\(713\) | −18.0218 | − | 10.4049i | −0.674922 | − | 0.389666i | ||||
\(714\) | −1.22707 | − | 11.0341i | −0.0459219 | − | 0.412942i | ||||
\(715\) | −15.4300 | + | 3.01664i | −0.577050 | + | 0.112816i | ||||
\(716\) | −4.32530 | − | 7.49164i | −0.161644 | − | 0.279976i | ||||
\(717\) | 4.21743 | − | 2.43493i | 0.157503 | − | 0.0909342i | ||||
\(718\) | −11.1124 | − | 19.2473i | −0.414713 | − | 0.718304i | ||||
\(719\) | 23.5589 | − | 40.8052i | 0.878597 | − | 1.52178i | 0.0257170 | − | 0.999669i | \(-0.491813\pi\) |
0.852880 | − | 0.522106i | \(-0.174854\pi\) | |||||||
\(720\) | 38.2884i | 1.42692i | ||||||||
\(721\) | −30.1539 | + | 3.35331i | −1.12299 | + | 0.124884i | ||||
\(722\) | −12.2100 | + | 7.04944i | −0.454409 | + | 0.262353i | ||||
\(723\) | −4.52859 | + | 2.61458i | −0.168420 | + | 0.0972374i | ||||
\(724\) | 15.5095 | 0.576404 | ||||||||
\(725\) | 6.45070 | + | 11.1729i | 0.239573 | + | 0.414953i | ||||
\(726\) | − | 4.94324i | − | 0.183461i | ||||||
\(727\) | 17.9215 | 0.664671 | 0.332335 | − | 0.943161i | \(-0.392163\pi\) | ||||
0.332335 | + | 0.943161i | \(0.392163\pi\) | |||||||
\(728\) | 19.9527 | + | 63.6394i | 0.739498 | + | 2.35863i | ||||
\(729\) | −13.5489 | −0.501810 | ||||||||
\(730\) | − | 37.9880i | − | 1.40600i | ||||||
\(731\) | 5.24644 | + | 9.08711i | 0.194047 | + | 0.336099i | ||||
\(732\) | 7.12908 | 0.263498 | ||||||||
\(733\) | −39.2037 | + | 22.6343i | −1.44802 | + | 0.836016i | −0.998364 | − | 0.0571848i | \(-0.981788\pi\) |
−0.449658 | + | 0.893201i | \(0.648454\pi\) | |||||||
\(734\) | 3.72861 | − | 2.15271i | 0.137625 | − | 0.0794581i | ||||
\(735\) | −1.28535 | − | 5.70762i | −0.0474107 | − | 0.210529i | ||||
\(736\) | 16.9378i | 0.624335i | ||||||||
\(737\) | 18.3691 | − | 31.8163i | 0.676635 | − | 1.17197i | ||||
\(738\) | 27.2247 | + | 47.1546i | 1.00215 | + | 1.73578i | ||||
\(739\) | 16.6808 | − | 9.63066i | 0.613613 | − | 0.354270i | −0.160765 | − | 0.986993i | \(-0.551396\pi\) |
0.774378 | + | 0.632723i | \(0.218063\pi\) | |||||||
\(740\) | 22.5577 | + | 39.0712i | 0.829239 | + | 1.43628i | ||||
\(741\) | 5.18905 | − | 4.52065i | 0.190624 | − | 0.166070i | ||||
\(742\) | 40.0804 | − | 29.4911i | 1.47140 | − | 1.08265i | ||||
\(743\) | 30.2115 | + | 17.4426i | 1.10835 | + | 0.639908i | 0.938402 | − | 0.345545i | \(-0.112306\pi\) |
0.169951 | + | 0.985453i | \(0.445639\pi\) | |||||||
\(744\) | 37.9810 | 1.39245 | ||||||||
\(745\) | −31.9155 | −1.16929 | ||||||||
\(746\) | 31.3032 | + | 18.0729i | 1.14609 | + | 0.661697i | ||||
\(747\) | 6.37850 | + | 3.68263i | 0.233377 | + | 0.134740i | ||||
\(748\) | 34.4303 | − | 19.8784i | 1.25890 | − | 0.726825i | ||||
\(749\) | −5.45120 | + | 12.4451i | −0.199183 | + | 0.454733i | ||||
\(750\) | 8.00648 | + | 13.8676i | 0.292355 | + | 0.506374i | ||||
\(751\) | 24.9668 | 0.911051 | 0.455526 | − | 0.890223i | \(-0.349451\pi\) | ||||
0.455526 | + | 0.890223i | \(0.349451\pi\) | |||||||
\(752\) | 7.94609 | − | 4.58767i | 0.289764 | − | 0.167295i | ||||
\(753\) | −2.68268 | + | 4.64654i | −0.0977623 | + | 0.169329i | ||||
\(754\) | −9.62150 | − | 49.2136i | −0.350394 | − | 1.79225i | ||||
\(755\) | 12.1467 | 0.442064 | ||||||||
\(756\) | 14.8277 | − | 33.8515i | 0.539277 | − | 1.23117i | ||||
\(757\) | 5.30243 | − | 9.18408i | 0.192720 | − | 0.333801i | −0.753431 | − | 0.657527i | \(-0.771602\pi\) |
0.946151 | + | 0.323726i | \(0.104936\pi\) | |||||||
\(758\) | −40.8685 | + | 70.7863i | −1.48441 | + | 2.57108i | ||||
\(759\) | 2.41212 | + | 1.39264i | 0.0875543 | + | 0.0505495i | ||||
\(760\) | − | 41.4926i | − | 1.50510i | ||||||
\(761\) | 28.2660 | + | 16.3194i | 1.02464 | + | 0.591578i | 0.915446 | − | 0.402442i | \(-0.131838\pi\) |
0.109198 | + | 0.994020i | \(0.465172\pi\) | |||||||
\(762\) | − | 4.19288i | − | 0.151892i | ||||||
\(763\) | 3.68208 | − | 2.70927i | 0.133300 | − | 0.0980820i | ||||
\(764\) | 11.5080 | − | 19.9325i | 0.416345 | − | 0.721131i | ||||
\(765\) | − | 13.7659i | − | 0.497708i | ||||||
\(766\) | −41.2988 | + | 71.5316i | −1.49219 | + | 2.58454i | ||||
\(767\) | −31.0572 | + | 27.0568i | −1.12141 | + | 0.976963i | ||||
\(768\) | 5.73794 | + | 9.93841i | 0.207050 | + | 0.358621i | ||||
\(769\) | −45.1851 | − | 26.0876i | −1.62942 | − | 0.940744i | −0.984267 | − | 0.176686i | \(-0.943462\pi\) |
−0.645148 | − | 0.764057i | \(-0.723204\pi\) | |||||||
\(770\) | 24.0545 | − | 17.6993i | 0.866864 | − | 0.637837i | ||||
\(771\) | 2.07039 | + | 3.58601i | 0.0745631 | + | 0.129147i | ||||
\(772\) | −12.2909 | + | 7.09618i | −0.442360 | + | 0.255397i | ||||
\(773\) | 35.7057i | 1.28425i | 0.766602 |