Properties

Label 105.2.x.a.2.3
Level 105
Weight 2
Character 105.2
Analytic conductor 0.838
Analytic rank 0
Dimension 48
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.3
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.391246 - 1.46015i) q^{2} +(-0.879005 - 1.49243i) q^{3} +(-0.246919 + 0.142558i) q^{4} +(1.82416 - 1.29322i) q^{5} +(-1.83527 + 1.86739i) q^{6} +(-1.17707 + 2.36949i) q^{7} +(-1.83305 - 1.83305i) q^{8} +(-1.45470 + 2.62371i) q^{9} +O(q^{10})\) \(q+(-0.391246 - 1.46015i) q^{2} +(-0.879005 - 1.49243i) q^{3} +(-0.246919 + 0.142558i) q^{4} +(1.82416 - 1.29322i) q^{5} +(-1.83527 + 1.86739i) q^{6} +(-1.17707 + 2.36949i) q^{7} +(-1.83305 - 1.83305i) q^{8} +(-1.45470 + 2.62371i) q^{9} +(-2.60200 - 2.15759i) q^{10} +(-0.791646 + 0.457057i) q^{11} +(0.429801 + 0.243199i) q^{12} +(3.07974 - 3.07974i) q^{13} +(3.92035 + 0.791646i) q^{14} +(-3.53350 - 1.58569i) q^{15} +(-2.24447 + 3.88754i) q^{16} +(1.16230 + 0.311437i) q^{17} +(4.40016 + 1.09756i) q^{18} +(5.95337 + 3.43718i) q^{19} +(-0.266060 + 0.579371i) q^{20} +(4.57096 - 0.326101i) q^{21} +(0.977102 + 0.977102i) q^{22} +(-1.88814 + 0.505926i) q^{23} +(-1.12444 + 4.34696i) q^{24} +(1.65515 - 4.71810i) q^{25} +(-5.70182 - 3.29195i) q^{26} +(5.19439 - 0.135217i) q^{27} +(-0.0471508 - 0.752874i) q^{28} +2.72261 q^{29} +(-0.932876 + 5.77984i) q^{30} +(-2.31688 - 4.01295i) q^{31} +(1.54656 + 0.414399i) q^{32} +(1.37799 + 0.779722i) q^{33} -1.81898i q^{34} +(0.917115 + 5.84456i) q^{35} +(-0.0148398 - 0.855222i) q^{36} +(-0.774982 + 0.207656i) q^{37} +(2.68957 - 10.0376i) q^{38} +(-7.30340 - 1.88919i) q^{39} +(-5.71432 - 0.973238i) q^{40} +0.922837i q^{41} +(-2.26453 - 6.54671i) q^{42} +(-4.80893 + 4.80893i) q^{43} +(0.130315 - 0.225712i) q^{44} +(0.739433 + 6.66733i) q^{45} +(1.47746 + 2.55903i) q^{46} +(2.71272 + 10.1240i) q^{47} +(7.77478 - 0.0674490i) q^{48} +(-4.22901 - 5.57813i) q^{49} +(-7.53672 - 0.570823i) q^{50} +(-0.556868 - 2.00840i) q^{51} +(-0.321402 + 1.19949i) q^{52} +(-2.85459 + 10.6535i) q^{53} +(-2.22972 - 7.53170i) q^{54} +(-0.853015 + 1.85752i) q^{55} +(6.50102 - 2.18577i) q^{56} +(-0.103291 - 11.9063i) q^{57} +(-1.06521 - 3.97543i) q^{58} +(-4.94023 - 8.55672i) q^{59} +(1.09854 - 0.112194i) q^{60} +(0.533944 - 0.924818i) q^{61} +(-4.95304 + 4.95304i) q^{62} +(-4.50458 - 6.53519i) q^{63} +6.55754i q^{64} +(1.63516 - 9.60074i) q^{65} +(0.599379 - 2.31713i) q^{66} +(-1.83132 + 6.83458i) q^{67} +(-0.331391 + 0.0887959i) q^{68} +(2.41475 + 2.37321i) q^{69} +(8.17513 - 3.62579i) q^{70} +0.557759i q^{71} +(7.47592 - 2.14285i) q^{72} +(2.10543 + 0.564147i) q^{73} +(0.606418 + 1.05035i) q^{74} +(-8.49632 + 1.67705i) q^{75} -1.96000 q^{76} +(-0.151170 - 2.41379i) q^{77} +(0.0989269 + 11.4032i) q^{78} +(2.62503 + 1.51556i) q^{79} +(0.933173 + 9.99411i) q^{80} +(-4.76770 - 7.63342i) q^{81} +(1.34748 - 0.361057i) q^{82} +(-2.38102 - 2.38102i) q^{83} +(-1.08217 + 0.732149i) q^{84} +(2.52298 - 0.934999i) q^{85} +(8.90325 + 5.14029i) q^{86} +(-2.39319 - 4.06331i) q^{87} +(2.28893 + 0.613318i) q^{88} +(-5.64725 + 9.78132i) q^{89} +(9.44601 - 3.68825i) q^{90} +(3.67235 + 10.9225i) q^{91} +(0.394093 - 0.394093i) q^{92} +(-3.95250 + 6.98518i) q^{93} +(13.7213 - 7.92197i) q^{94} +(15.3050 - 1.42906i) q^{95} +(-0.740971 - 2.67239i) q^{96} +(-1.58805 - 1.58805i) q^{97} +(-6.49033 + 8.35741i) q^{98} +(-0.0475780 - 2.74193i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} + O(q^{10}) \) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} - 8q^{10} - 10q^{12} - 16q^{13} + 4q^{15} - 8q^{16} + 14q^{18} - 28q^{21} - 8q^{22} + 4q^{25} + 40q^{27} - 60q^{28} + 40q^{30} - 24q^{31} - 4q^{33} + 8q^{36} + 4q^{37} - 16q^{40} + 14q^{42} + 16q^{43} + 40q^{45} - 32q^{46} + 44q^{48} + 8q^{51} + 36q^{52} - 40q^{55} - 88q^{57} + 56q^{58} - 50q^{60} - 8q^{61} + 44q^{63} + 76q^{66} + 12q^{67} + 140q^{70} - 34q^{72} + 52q^{73} + 6q^{75} + 64q^{76} - 120q^{78} + 20q^{81} + 104q^{82} - 24q^{85} - 46q^{87} - 84q^{90} + 72q^{91} - 44q^{93} + 12q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.391246 1.46015i −0.276653 1.03248i −0.954726 0.297488i \(-0.903851\pi\)
0.678072 0.734995i \(-0.262816\pi\)
\(3\) −0.879005 1.49243i −0.507494 0.861655i
\(4\) −0.246919 + 0.142558i −0.123459 + 0.0712792i
\(5\) 1.82416 1.29322i 0.815791 0.578347i
\(6\) −1.83527 + 1.86739i −0.749245 + 0.762359i
\(7\) −1.17707 + 2.36949i −0.444891 + 0.895585i
\(8\) −1.83305 1.83305i −0.648080 0.648080i
\(9\) −1.45470 + 2.62371i −0.484900 + 0.874570i
\(10\) −2.60200 2.15759i −0.822825 0.682289i
\(11\) −0.791646 + 0.457057i −0.238690 + 0.137808i −0.614575 0.788859i \(-0.710672\pi\)
0.375884 + 0.926667i \(0.377339\pi\)
\(12\) 0.429801 + 0.243199i 0.124073 + 0.0702055i
\(13\) 3.07974 3.07974i 0.854166 0.854166i −0.136477 0.990643i \(-0.543578\pi\)
0.990643 + 0.136477i \(0.0435781\pi\)
\(14\) 3.92035 + 0.791646i 1.04776 + 0.211576i
\(15\) −3.53350 1.58569i −0.912345 0.409423i
\(16\) −2.24447 + 3.88754i −0.561118 + 0.971885i
\(17\) 1.16230 + 0.311437i 0.281899 + 0.0755345i 0.396998 0.917819i \(-0.370052\pi\)
−0.115099 + 0.993354i \(0.536719\pi\)
\(18\) 4.40016 + 1.09756i 1.03713 + 0.258698i
\(19\) 5.95337 + 3.43718i 1.36580 + 0.788543i 0.990388 0.138316i \(-0.0441690\pi\)
0.375409 + 0.926859i \(0.377502\pi\)
\(20\) −0.266060 + 0.579371i −0.0594928 + 0.129551i
\(21\) 4.57096 0.326101i 0.997465 0.0711610i
\(22\) 0.977102 + 0.977102i 0.208319 + 0.208319i
\(23\) −1.88814 + 0.505926i −0.393705 + 0.105493i −0.450240 0.892908i \(-0.648661\pi\)
0.0565348 + 0.998401i \(0.481995\pi\)
\(24\) −1.12444 + 4.34696i −0.229525 + 0.887318i
\(25\) 1.65515 4.71810i 0.331029 0.943621i
\(26\) −5.70182 3.29195i −1.11822 0.645604i
\(27\) 5.19439 0.135217i 0.999661 0.0260225i
\(28\) −0.0471508 0.752874i −0.00891066 0.142280i
\(29\) 2.72261 0.505576 0.252788 0.967522i \(-0.418652\pi\)
0.252788 + 0.967522i \(0.418652\pi\)
\(30\) −0.932876 + 5.77984i −0.170319 + 1.05525i
\(31\) −2.31688 4.01295i −0.416123 0.720747i 0.579422 0.815028i \(-0.303278\pi\)
−0.995546 + 0.0942806i \(0.969945\pi\)
\(32\) 1.54656 + 0.414399i 0.273395 + 0.0732561i
\(33\) 1.37799 + 0.779722i 0.239877 + 0.135732i
\(34\) 1.81898i 0.311952i
\(35\) 0.917115 + 5.84456i 0.155021 + 0.987911i
\(36\) −0.0148398 0.855222i −0.00247330 0.142537i
\(37\) −0.774982 + 0.207656i −0.127406 + 0.0341384i −0.321959 0.946754i \(-0.604341\pi\)
0.194552 + 0.980892i \(0.437675\pi\)
\(38\) 2.68957 10.0376i 0.436306 1.62832i
\(39\) −7.30340 1.88919i −1.16948 0.302513i
\(40\) −5.71432 0.973238i −0.903513 0.153882i
\(41\) 0.922837i 0.144123i 0.997400 + 0.0720615i \(0.0229578\pi\)
−0.997400 + 0.0720615i \(0.977042\pi\)
\(42\) −2.26453 6.54671i −0.349424 1.01018i
\(43\) −4.80893 + 4.80893i −0.733355 + 0.733355i −0.971283 0.237928i \(-0.923532\pi\)
0.237928 + 0.971283i \(0.423532\pi\)
\(44\) 0.130315 0.225712i 0.0196457 0.0340273i
\(45\) 0.739433 + 6.66733i 0.110228 + 0.993906i
\(46\) 1.47746 + 2.55903i 0.217839 + 0.377309i
\(47\) 2.71272 + 10.1240i 0.395691 + 1.47674i 0.820600 + 0.571503i \(0.193640\pi\)
−0.424909 + 0.905236i \(0.639694\pi\)
\(48\) 7.77478 0.0674490i 1.12219 0.00973542i
\(49\) −4.22901 5.57813i −0.604144 0.796875i
\(50\) −7.53672 0.570823i −1.06585 0.0807265i
\(51\) −0.556868 2.00840i −0.0779771 0.281233i
\(52\) −0.321402 + 1.19949i −0.0445704 + 0.166339i
\(53\) −2.85459 + 10.6535i −0.392107 + 1.46336i 0.434544 + 0.900651i \(0.356910\pi\)
−0.826651 + 0.562714i \(0.809757\pi\)
\(54\) −2.22972 7.53170i −0.303427 1.02493i
\(55\) −0.853015 + 1.85752i −0.115021 + 0.250468i
\(56\) 6.50102 2.18577i 0.868736 0.292086i
\(57\) −0.103291 11.9063i −0.0136813 1.57703i
\(58\) −1.06521 3.97543i −0.139869 0.521999i
\(59\) −4.94023 8.55672i −0.643163 1.11399i −0.984723 0.174130i \(-0.944289\pi\)
0.341560 0.939860i \(-0.389045\pi\)
\(60\) 1.09854 0.112194i 0.141821 0.0144842i
\(61\) 0.533944 0.924818i 0.0683645 0.118411i −0.829817 0.558036i \(-0.811555\pi\)
0.898182 + 0.439625i \(0.144889\pi\)
\(62\) −4.95304 + 4.95304i −0.629037 + 0.629037i
\(63\) −4.50458 6.53519i −0.567524 0.823357i
\(64\) 6.55754i 0.819693i
\(65\) 1.63516 9.60074i 0.202816 1.19082i
\(66\) 0.599379 2.31713i 0.0737785 0.285220i
\(67\) −1.83132 + 6.83458i −0.223732 + 0.834977i 0.759177 + 0.650884i \(0.225602\pi\)
−0.982909 + 0.184093i \(0.941065\pi\)
\(68\) −0.331391 + 0.0887959i −0.0401870 + 0.0107681i
\(69\) 2.41475 + 2.37321i 0.290701 + 0.285701i
\(70\) 8.17513 3.62579i 0.977115 0.433365i
\(71\) 0.557759i 0.0661938i 0.999452 + 0.0330969i \(0.0105370\pi\)
−0.999452 + 0.0330969i \(0.989463\pi\)
\(72\) 7.47592 2.14285i 0.881045 0.252537i
\(73\) 2.10543 + 0.564147i 0.246421 + 0.0660284i 0.379915 0.925021i \(-0.375953\pi\)
−0.133494 + 0.991050i \(0.542620\pi\)
\(74\) 0.606418 + 1.05035i 0.0704946 + 0.122100i
\(75\) −8.49632 + 1.67705i −0.981071 + 0.193649i
\(76\) −1.96000 −0.224827
\(77\) −0.151170 2.41379i −0.0172275 0.275077i
\(78\) 0.0989269 + 11.4032i 0.0112013 + 1.29116i
\(79\) 2.62503 + 1.51556i 0.295339 + 0.170514i 0.640347 0.768086i \(-0.278790\pi\)
−0.345008 + 0.938600i \(0.612124\pi\)
\(80\) 0.933173 + 9.99411i 0.104332 + 1.11738i
\(81\) −4.76770 7.63342i −0.529745 0.848157i
\(82\) 1.34748 0.361057i 0.148805 0.0398720i
\(83\) −2.38102 2.38102i −0.261351 0.261351i 0.564252 0.825603i \(-0.309165\pi\)
−0.825603 + 0.564252i \(0.809165\pi\)
\(84\) −1.08217 + 0.732149i −0.118074 + 0.0798840i
\(85\) 2.52298 0.934999i 0.273655 0.101415i
\(86\) 8.90325 + 5.14029i 0.960062 + 0.554292i
\(87\) −2.39319 4.06331i −0.256577 0.435632i
\(88\) 2.28893 + 0.613318i 0.244001 + 0.0653799i
\(89\) −5.64725 + 9.78132i −0.598607 + 1.03682i 0.394420 + 0.918930i \(0.370946\pi\)
−0.993027 + 0.117888i \(0.962388\pi\)
\(90\) 9.44601 3.68825i 0.995697 0.388776i
\(91\) 3.67235 + 10.9225i 0.384967 + 1.14499i
\(92\) 0.394093 0.394093i 0.0410871 0.0410871i
\(93\) −3.95250 + 6.98518i −0.409855 + 0.724330i
\(94\) 13.7213 7.92197i 1.41524 0.817089i
\(95\) 15.3050 1.42906i 1.57026 0.146618i
\(96\) −0.740971 2.67239i −0.0756250 0.272750i
\(97\) −1.58805 1.58805i −0.161242 0.161242i 0.621875 0.783117i \(-0.286371\pi\)
−0.783117 + 0.621875i \(0.786371\pi\)
\(98\) −6.49033 + 8.35741i −0.655622 + 0.844226i
\(99\) −0.0475780 2.74193i −0.00478177 0.275574i
\(100\) 0.263919 + 1.40094i 0.0263919 + 0.140094i
\(101\) −4.02299 + 2.32267i −0.400302 + 0.231114i −0.686614 0.727022i \(-0.740904\pi\)
0.286312 + 0.958136i \(0.407571\pi\)
\(102\) −2.71470 + 1.59889i −0.268795 + 0.158314i
\(103\) −2.72555 10.1719i −0.268556 1.00227i −0.960037 0.279871i \(-0.909708\pi\)
0.691481 0.722395i \(-0.256959\pi\)
\(104\) −11.2906 −1.10714
\(105\) 7.91645 6.50613i 0.772567 0.634933i
\(106\) 16.6725 1.61938
\(107\) −1.63757 6.11150i −0.158310 0.590821i −0.998799 0.0489927i \(-0.984399\pi\)
0.840489 0.541829i \(-0.182268\pi\)
\(108\) −1.26332 + 0.773892i −0.121563 + 0.0744678i
\(109\) 7.46435 4.30954i 0.714955 0.412779i −0.0979381 0.995193i \(-0.531225\pi\)
0.812893 + 0.582413i \(0.197891\pi\)
\(110\) 3.04600 + 0.518783i 0.290425 + 0.0494640i
\(111\) 0.991125 + 0.974076i 0.0940734 + 0.0924552i
\(112\) −6.56960 9.89417i −0.620769 0.934911i
\(113\) 7.44178 + 7.44178i 0.700064 + 0.700064i 0.964424 0.264360i \(-0.0851608\pi\)
−0.264360 + 0.964424i \(0.585161\pi\)
\(114\) −17.3446 + 4.80912i −1.62447 + 0.450415i
\(115\) −2.79001 + 3.36468i −0.260169 + 0.313758i
\(116\) −0.672263 + 0.388131i −0.0624181 + 0.0360371i
\(117\) 3.60025 + 12.5604i 0.332843 + 1.16121i
\(118\) −10.5613 + 10.5613i −0.972243 + 0.972243i
\(119\) −2.10605 + 2.38747i −0.193062 + 0.218859i
\(120\) 3.57043 + 9.38371i 0.325934 + 0.856611i
\(121\) −5.08220 + 8.80262i −0.462018 + 0.800239i
\(122\) −1.55928 0.417807i −0.141170 0.0378265i
\(123\) 1.37727 0.811179i 0.124184 0.0731415i
\(124\) 1.14416 + 0.660581i 0.102749 + 0.0593219i
\(125\) −3.08230 10.7471i −0.275690 0.961247i
\(126\) −7.77997 + 9.13424i −0.693095 + 0.813743i
\(127\) −4.42895 4.42895i −0.393006 0.393006i 0.482752 0.875757i \(-0.339637\pi\)
−0.875757 + 0.482752i \(0.839637\pi\)
\(128\) 12.6681 3.39441i 1.11971 0.300027i
\(129\) 11.4041 + 2.94992i 1.00407 + 0.259726i
\(130\) −14.6583 + 1.36868i −1.28562 + 0.120041i
\(131\) −7.37260 4.25658i −0.644147 0.371899i 0.142063 0.989858i \(-0.454626\pi\)
−0.786210 + 0.617959i \(0.787960\pi\)
\(132\) −0.451407 + 0.00391611i −0.0392899 + 0.000340854i
\(133\) −15.1519 + 10.0607i −1.31384 + 0.872371i
\(134\) 10.6960 0.923996
\(135\) 9.30056 6.96417i 0.800464 0.599380i
\(136\) −1.55967 2.70143i −0.133740 0.231645i
\(137\) −9.98048 2.67426i −0.852690 0.228478i −0.194102 0.980981i \(-0.562179\pi\)
−0.658588 + 0.752504i \(0.728846\pi\)
\(138\) 2.52049 4.45441i 0.214558 0.379184i
\(139\) 3.03547i 0.257465i −0.991679 0.128733i \(-0.958909\pi\)
0.991679 0.128733i \(-0.0410909\pi\)
\(140\) −1.05964 1.31239i −0.0895563 0.110917i
\(141\) 12.7249 12.9476i 1.07163 1.09039i
\(142\) 0.814412 0.218221i 0.0683440 0.0183127i
\(143\) −1.03045 + 3.84568i −0.0861703 + 0.321592i
\(144\) −6.93474 11.5440i −0.577895 0.962003i
\(145\) 4.96649 3.52095i 0.412444 0.292399i
\(146\) 3.29496i 0.272693i
\(147\) −4.60765 + 11.2147i −0.380033 + 0.924973i
\(148\) 0.161754 0.161754i 0.0132961 0.0132961i
\(149\) 6.44006 11.1545i 0.527590 0.913813i −0.471892 0.881656i \(-0.656429\pi\)
0.999483 0.0321573i \(-0.0102377\pi\)
\(150\) 5.77290 + 11.7498i 0.471355 + 0.959366i
\(151\) −5.94939 10.3046i −0.484154 0.838580i 0.515680 0.856781i \(-0.327539\pi\)
−0.999834 + 0.0182013i \(0.994206\pi\)
\(152\) −4.61230 17.2133i −0.374107 1.39619i
\(153\) −2.50791 + 2.59648i −0.202753 + 0.209913i
\(154\) −3.46536 + 1.16512i −0.279246 + 0.0938879i
\(155\) −9.41600 4.32404i −0.756312 0.347315i
\(156\) 2.07267 0.574686i 0.165946 0.0460117i
\(157\) −3.60080 + 13.4384i −0.287375 + 1.07250i 0.659711 + 0.751520i \(0.270679\pi\)
−0.947086 + 0.320980i \(0.895988\pi\)
\(158\) 1.18592 4.42591i 0.0943466 0.352106i
\(159\) 18.4087 5.10417i 1.45991 0.404787i
\(160\) 3.35709 1.24411i 0.265401 0.0983558i
\(161\) 1.02369 5.06945i 0.0806780 0.399529i
\(162\) −9.28060 + 9.94811i −0.729153 + 0.781598i
\(163\) −6.23594 23.2728i −0.488436 1.82287i −0.564061 0.825733i \(-0.690762\pi\)
0.0756252 0.997136i \(-0.475905\pi\)
\(164\) −0.131558 0.227866i −0.0102730 0.0177933i
\(165\) 3.52203 0.359706i 0.274190 0.0280031i
\(166\) −2.54508 + 4.40821i −0.197537 + 0.342144i
\(167\) 4.98846 4.98846i 0.386018 0.386018i −0.487246 0.873265i \(-0.661999\pi\)
0.873265 + 0.487246i \(0.161999\pi\)
\(168\) −8.97654 7.78103i −0.692555 0.600319i
\(169\) 5.96958i 0.459199i
\(170\) −2.35235 3.31812i −0.180417 0.254488i
\(171\) −17.6785 + 10.6199i −1.35191 + 0.812120i
\(172\) 0.501860 1.87297i 0.0382665 0.142813i
\(173\) 23.2450 6.22848i 1.76728 0.473543i 0.779112 0.626885i \(-0.215670\pi\)
0.988173 + 0.153342i \(0.0490037\pi\)
\(174\) −4.99672 + 5.08418i −0.378800 + 0.385430i
\(175\) 9.23129 + 9.47540i 0.697820 + 0.716273i
\(176\) 4.10341i 0.309306i
\(177\) −8.42783 + 14.8943i −0.633474 + 1.11953i
\(178\) 16.4917 + 4.41893i 1.23610 + 0.331213i
\(179\) 2.55927 + 4.43279i 0.191289 + 0.331322i 0.945678 0.325106i \(-0.105400\pi\)
−0.754389 + 0.656428i \(0.772067\pi\)
\(180\) −1.13306 1.54087i −0.0844536 0.114850i
\(181\) −1.77024 −0.131581 −0.0657906 0.997833i \(-0.520957\pi\)
−0.0657906 + 0.997833i \(0.520957\pi\)
\(182\) 14.5117 9.63558i 1.07568 0.714237i
\(183\) −1.84957 + 0.0160456i −0.136724 + 0.00118613i
\(184\) 4.38844 + 2.53367i 0.323520 + 0.186784i
\(185\) −1.14515 + 1.38102i −0.0841930 + 0.101535i
\(186\) 11.7458 + 3.03832i 0.861246 + 0.222781i
\(187\) −1.06247 + 0.284689i −0.0776957 + 0.0208185i
\(188\) −2.11309 2.11309i −0.154113 0.154113i
\(189\) −5.79378 + 12.4672i −0.421435 + 0.906859i
\(190\) −8.07466 21.7885i −0.585797 1.58070i
\(191\) 7.94932 + 4.58954i 0.575193 + 0.332088i 0.759221 0.650833i \(-0.225580\pi\)
−0.184028 + 0.982921i \(0.558914\pi\)
\(192\) 9.78668 5.76412i 0.706293 0.415989i
\(193\) 6.85235 + 1.83608i 0.493243 + 0.132164i 0.496862 0.867829i \(-0.334485\pi\)
−0.00361952 + 0.999993i \(0.501152\pi\)
\(194\) −1.69748 + 2.94012i −0.121872 + 0.211088i
\(195\) −15.7657 + 5.99874i −1.12901 + 0.429579i
\(196\) 1.83943 + 0.774462i 0.131388 + 0.0553187i
\(197\) −12.5538 + 12.5538i −0.894420 + 0.894420i −0.994935 0.100516i \(-0.967951\pi\)
0.100516 + 0.994935i \(0.467951\pi\)
\(198\) −3.98502 + 1.14224i −0.283203 + 0.0811756i
\(199\) −14.9099 + 8.60825i −1.05694 + 0.610222i −0.924583 0.380980i \(-0.875587\pi\)
−0.132353 + 0.991203i \(0.542253\pi\)
\(200\) −11.6825 + 5.61455i −0.826075 + 0.397008i
\(201\) 11.8099 3.27452i 0.833005 0.230967i
\(202\) 4.96543 + 4.96543i 0.349367 + 0.349367i
\(203\) −3.20471 + 6.45121i −0.224926 + 0.452786i
\(204\) 0.423816 + 0.416526i 0.0296731 + 0.0291626i
\(205\) 1.19343 + 1.68341i 0.0833531 + 0.117574i
\(206\) −13.7861 + 7.95943i −0.960526 + 0.554560i
\(207\) 1.41928 5.68991i 0.0986465 0.395476i
\(208\) 5.06022 + 18.8850i 0.350863 + 1.30944i
\(209\) −6.28395 −0.434670
\(210\) −12.5972 9.01372i −0.869291 0.622006i
\(211\) −9.75343 −0.671454 −0.335727 0.941959i \(-0.608982\pi\)
−0.335727 + 0.941959i \(0.608982\pi\)
\(212\) −0.813891 3.03748i −0.0558982 0.208615i
\(213\) 0.832416 0.490273i 0.0570362 0.0335929i
\(214\) −8.28303 + 4.78221i −0.566216 + 0.326905i
\(215\) −2.55325 + 14.9913i −0.174131 + 1.02240i
\(216\) −9.76943 9.27371i −0.664725 0.630996i
\(217\) 12.2358 0.766300i 0.830620 0.0520198i
\(218\) −9.21299 9.21299i −0.623982 0.623982i
\(219\) −1.00873 3.63809i −0.0681636 0.245839i
\(220\) −0.0541804 0.580261i −0.00365284 0.0391212i
\(221\) 4.53872 2.62043i 0.305307 0.176269i
\(222\) 1.03452 1.82830i 0.0694328 0.122707i
\(223\) 9.17286 9.17286i 0.614260 0.614260i −0.329793 0.944053i \(-0.606979\pi\)
0.944053 + 0.329793i \(0.106979\pi\)
\(224\) −2.80232 + 3.17678i −0.187238 + 0.212258i
\(225\) 9.97119 + 11.2060i 0.664746 + 0.747069i
\(226\) 7.95456 13.7777i 0.529129 0.916479i
\(227\) 23.2222 + 6.22238i 1.54131 + 0.412994i 0.926690 0.375826i \(-0.122641\pi\)
0.614624 + 0.788820i \(0.289308\pi\)
\(228\) 1.72285 + 2.92516i 0.114098 + 0.193723i
\(229\) −2.82056 1.62845i −0.186388 0.107611i 0.403903 0.914802i \(-0.367653\pi\)
−0.590290 + 0.807191i \(0.700987\pi\)
\(230\) 6.00453 + 2.75741i 0.395927 + 0.181818i
\(231\) −3.46954 + 2.34735i −0.228279 + 0.154444i
\(232\) −4.99068 4.99068i −0.327654 0.327654i
\(233\) −16.1105 + 4.31679i −1.05543 + 0.282802i −0.744495 0.667628i \(-0.767310\pi\)
−0.310938 + 0.950430i \(0.600643\pi\)
\(234\) 16.9316 10.1711i 1.10685 0.664908i
\(235\) 18.0411 + 14.9597i 1.17687 + 0.975864i
\(236\) 2.43967 + 1.40854i 0.158809 + 0.0916883i
\(237\) −0.0455445 5.24987i −0.00295843 0.341016i
\(238\) 4.31006 + 2.14107i 0.279380 + 0.138785i
\(239\) 15.1824 0.982070 0.491035 0.871140i \(-0.336619\pi\)
0.491035 + 0.871140i \(0.336619\pi\)
\(240\) 14.0953 10.1776i 0.909845 0.656959i
\(241\) −0.0593822 0.102853i −0.00382515 0.00662535i 0.864106 0.503309i \(-0.167884\pi\)
−0.867932 + 0.496684i \(0.834551\pi\)
\(242\) 14.8416 + 3.97678i 0.954052 + 0.255637i
\(243\) −7.20151 + 13.8253i −0.461977 + 0.886892i
\(244\) 0.304473i 0.0194919i
\(245\) −14.9282 4.70637i −0.953725 0.300679i
\(246\) −1.72330 1.69365i −0.109873 0.107983i
\(247\) 28.9204 7.74921i 1.84016 0.493070i
\(248\) −3.10898 + 11.6029i −0.197420 + 0.736783i
\(249\) −1.46058 + 5.64643i −0.0925603 + 0.357828i
\(250\) −14.4864 + 8.70538i −0.916201 + 0.550577i
\(251\) 16.8255i 1.06202i 0.847367 + 0.531008i \(0.178187\pi\)
−0.847367 + 0.531008i \(0.821813\pi\)
\(252\) 2.04391 + 0.971495i 0.128754 + 0.0611984i
\(253\) 1.26350 1.26350i 0.0794358 0.0794358i
\(254\) −4.73413 + 8.19975i −0.297046 + 0.514498i
\(255\) −3.61313 2.94350i −0.226263 0.184329i
\(256\) −3.35517 5.81133i −0.209698 0.363208i
\(257\) −3.60198 13.4428i −0.224686 0.838538i −0.982530 0.186103i \(-0.940414\pi\)
0.757845 0.652435i \(-0.226252\pi\)
\(258\) −0.154472 17.8058i −0.00961699 1.10854i
\(259\) 0.420170 2.08074i 0.0261081 0.129291i
\(260\) 0.964916 + 2.60371i 0.0598416 + 0.161475i
\(261\) −3.96058 + 7.14334i −0.245154 + 0.442162i
\(262\) −3.33074 + 12.4305i −0.205774 + 0.767958i
\(263\) 5.56707 20.7766i 0.343280 1.28114i −0.551328 0.834288i \(-0.685879\pi\)
0.894608 0.446851i \(-0.147455\pi\)
\(264\) −1.09665 3.95518i −0.0674942 0.243425i
\(265\) 8.57007 + 23.1253i 0.526455 + 1.42057i
\(266\) 20.6182 + 18.1879i 1.26419 + 1.11517i
\(267\) 19.5619 0.169706i 1.19717 0.0103859i
\(268\) −0.522141 1.94866i −0.0318948 0.119033i
\(269\) −9.44119 16.3526i −0.575639 0.997036i −0.995972 0.0896663i \(-0.971420\pi\)
0.420333 0.907370i \(-0.361913\pi\)
\(270\) −13.8076 10.8555i −0.840301 0.660646i
\(271\) 1.85591 3.21453i 0.112739 0.195269i −0.804135 0.594447i \(-0.797371\pi\)
0.916874 + 0.399178i \(0.130704\pi\)
\(272\) −3.81947 + 3.81947i −0.231589 + 0.231589i
\(273\) 13.0731 15.0817i 0.791217 0.912784i
\(274\) 15.6193i 0.943597i
\(275\) 0.846153 + 4.49157i 0.0510249 + 0.270852i
\(276\) −0.934567 0.241747i −0.0562543 0.0145515i
\(277\) 1.95709 7.30397i 0.117590 0.438853i −0.881877 0.471479i \(-0.843720\pi\)
0.999468 + 0.0326260i \(0.0103870\pi\)
\(278\) −4.43225 + 1.18762i −0.265829 + 0.0712286i
\(279\) 13.8992 0.241178i 0.832122 0.0144390i
\(280\) 9.03224 12.3945i 0.539780 0.740712i
\(281\) 12.0546i 0.719117i −0.933122 0.359559i \(-0.882927\pi\)
0.933122 0.359559i \(-0.117073\pi\)
\(282\) −23.8841 13.5146i −1.42227 0.804781i
\(283\) 23.1952 + 6.21514i 1.37881 + 0.369452i 0.870690 0.491833i \(-0.163673\pi\)
0.508123 + 0.861285i \(0.330340\pi\)
\(284\) −0.0795132 0.137721i −0.00471824 0.00817224i
\(285\) −15.5859 21.5854i −0.923230 1.27861i
\(286\) 6.01844 0.355878
\(287\) −2.18666 1.08625i −0.129074 0.0641190i
\(288\) −3.33704 + 3.45489i −0.196637 + 0.203581i
\(289\) −13.4685 7.77604i −0.792264 0.457414i
\(290\) −7.08424 5.87427i −0.416001 0.344949i
\(291\) −0.974151 + 3.76596i −0.0571058 + 0.220765i
\(292\) −0.600292 + 0.160848i −0.0351295 + 0.00941291i
\(293\) −12.2498 12.2498i −0.715644 0.715644i 0.252066 0.967710i \(-0.418890\pi\)
−0.967710 + 0.252066i \(0.918890\pi\)
\(294\) 18.1779 + 2.34016i 1.06016 + 0.136481i
\(295\) −20.0775 9.22004i −1.16896 0.536812i
\(296\) 1.80122 + 1.03994i 0.104694 + 0.0604450i
\(297\) −4.05032 + 2.48118i −0.235023 + 0.143973i
\(298\) −18.8069 5.03930i −1.08946 0.291919i
\(299\) −4.25687 + 7.37311i −0.246181 + 0.426398i
\(300\) 1.85882 1.62532i 0.107319 0.0938377i
\(301\) −5.73428 17.0552i −0.330518 0.983045i
\(302\) −12.7187 + 12.7187i −0.731877 + 0.731877i
\(303\) 7.00265 + 3.96239i 0.402292 + 0.227633i
\(304\) −26.7243 + 15.4293i −1.53275 + 0.884931i
\(305\) −0.221995 2.37753i −0.0127114 0.136137i
\(306\) 4.77247 + 2.64607i 0.272824 + 0.151266i
\(307\) −12.5028 12.5028i −0.713571 0.713571i 0.253709 0.967280i \(-0.418349\pi\)
−0.967280 + 0.253709i \(0.918349\pi\)
\(308\) 0.381433 + 0.574459i 0.0217342 + 0.0327328i
\(309\) −12.7851 + 13.0088i −0.727317 + 0.740047i
\(310\) −2.62977 + 15.4406i −0.149361 + 0.876965i
\(311\) 20.2993 11.7198i 1.15107 0.664569i 0.201920 0.979402i \(-0.435282\pi\)
0.949147 + 0.314833i \(0.101949\pi\)
\(312\) 9.92451 + 16.8505i 0.561865 + 0.953970i
\(313\) −2.74353 10.2390i −0.155073 0.578742i −0.999099 0.0424390i \(-0.986487\pi\)
0.844026 0.536303i \(-0.180179\pi\)
\(314\) 21.0309 1.18684
\(315\) −16.6686 6.09584i −0.939167 0.343461i
\(316\) −0.864226 −0.0486165
\(317\) 5.31686 + 19.8428i 0.298625 + 1.11448i 0.938296 + 0.345834i \(0.112404\pi\)
−0.639671 + 0.768649i \(0.720929\pi\)
\(318\) −14.6552 24.8826i −0.821824 1.39535i
\(319\) −2.15535 + 1.24439i −0.120676 + 0.0696724i
\(320\) 8.48037 + 11.9620i 0.474067 + 0.668698i
\(321\) −7.68156 + 7.81601i −0.428743 + 0.436247i
\(322\) −7.80269 + 0.488665i −0.434827 + 0.0272322i
\(323\) 5.84912 + 5.84912i 0.325454 + 0.325454i
\(324\) 2.26544 + 1.20516i 0.125858 + 0.0669531i
\(325\) −9.43311 19.6279i −0.523255 1.08876i
\(326\) −31.5421 + 18.2108i −1.74695 + 1.00860i
\(327\) −12.9929 7.35191i −0.718509 0.406562i
\(328\) 1.69160 1.69160i 0.0934032 0.0934032i
\(329\) −27.1819 5.48891i −1.49858 0.302613i
\(330\) −1.90321 5.00196i −0.104768 0.275349i
\(331\) −15.9659 + 27.6537i −0.877564 + 1.51998i −0.0235570 + 0.999722i \(0.507499\pi\)
−0.854007 + 0.520262i \(0.825834\pi\)
\(332\) 0.927351 + 0.248483i 0.0508950 + 0.0136373i
\(333\) 0.582537 2.33540i 0.0319228 0.127979i
\(334\) −9.23562 5.33219i −0.505351 0.291764i
\(335\) 5.49802 + 14.8357i 0.300389 + 0.810561i
\(336\) −8.99165 + 18.5017i −0.490535 + 1.00935i
\(337\) 9.40161 + 9.40161i 0.512139 + 0.512139i 0.915181 0.403043i \(-0.132047\pi\)
−0.403043 + 0.915181i \(0.632047\pi\)
\(338\) −8.71650 + 2.33558i −0.474115 + 0.127039i
\(339\) 4.56498 17.6477i 0.247936 0.958492i
\(340\) −0.489678 + 0.590541i −0.0265565 + 0.0320266i
\(341\) 3.66830 + 2.11789i 0.198649 + 0.114690i
\(342\) 22.4233 + 21.6584i 1.21251 + 1.17115i
\(343\) 18.1952 3.45475i 0.982448 0.186539i
\(344\) 17.6300 0.950546
\(345\) 7.47399 + 1.20632i 0.402386 + 0.0649458i
\(346\) −18.1891 31.5044i −0.977850 1.69369i
\(347\) −15.5354 4.16271i −0.833986 0.223466i −0.183534 0.983013i \(-0.558754\pi\)
−0.650452 + 0.759547i \(0.725421\pi\)
\(348\) 1.17018 + 0.662137i 0.0627284 + 0.0354943i
\(349\) 9.21013i 0.493007i −0.969142 0.246503i \(-0.920718\pi\)
0.969142 0.246503i \(-0.0792817\pi\)
\(350\) 10.2238 17.1863i 0.546486 0.918647i
\(351\) 15.5809 16.4138i 0.831649 0.876104i
\(352\) −1.41373 + 0.378808i −0.0753521 + 0.0201905i
\(353\) 2.70409 10.0918i 0.143924 0.537133i −0.855876 0.517180i \(-0.826982\pi\)
0.999801 0.0199530i \(-0.00635166\pi\)
\(354\) 25.0454 + 6.47855i 1.33115 + 0.344331i
\(355\) 0.721307 + 1.01744i 0.0382830 + 0.0540003i
\(356\) 3.22025i 0.170673i
\(357\) 5.41437 + 1.04454i 0.286559 + 0.0552828i
\(358\) 5.47124 5.47124i 0.289164 0.289164i
\(359\) 0.770883 1.33521i 0.0406857 0.0704697i −0.844965 0.534821i \(-0.820379\pi\)
0.885651 + 0.464351i \(0.153712\pi\)
\(360\) 10.8661 13.5769i 0.572694 0.715568i
\(361\) 14.1284 + 24.4711i 0.743601 + 1.28795i
\(362\) 0.692602 + 2.58482i 0.0364023 + 0.135855i
\(363\) 17.6046 0.152726i 0.924001 0.00801603i
\(364\) −2.46387 2.17344i −0.129142 0.113919i
\(365\) 4.57021 1.69369i 0.239216 0.0886517i
\(366\) 0.747066 + 2.69437i 0.0390497 + 0.140837i
\(367\) 4.15004 15.4881i 0.216630 0.808475i −0.768956 0.639301i \(-0.779224\pi\)
0.985586 0.169173i \(-0.0541097\pi\)
\(368\) 2.27107 8.47576i 0.118388 0.441830i
\(369\) −2.42126 1.34245i −0.126046 0.0698852i
\(370\) 2.46454 + 1.13177i 0.128125 + 0.0588379i
\(371\) −21.8833 19.3038i −1.13612 1.00220i
\(372\) −0.0198512 2.28823i −0.00102924 0.118639i
\(373\) 7.26294 + 27.1057i 0.376061 + 1.40348i 0.851789 + 0.523885i \(0.175518\pi\)
−0.475728 + 0.879592i \(0.657815\pi\)
\(374\) 0.831378 + 1.43999i 0.0429895 + 0.0744600i
\(375\) −13.3299 + 14.0469i −0.688352 + 0.725376i
\(376\) 13.5853 23.5304i 0.700606 1.21349i
\(377\) 8.38493 8.38493i 0.431846 0.431846i
\(378\) 20.4709 + 3.58203i 1.05291 + 0.184240i
\(379\) 18.6208i 0.956485i 0.878228 + 0.478243i \(0.158726\pi\)
−0.878228 + 0.478243i \(0.841274\pi\)
\(380\) −3.57535 + 2.53471i −0.183412 + 0.130028i
\(381\) −2.71683 + 10.5030i −0.139187 + 0.538083i
\(382\) 3.59129 13.4029i 0.183746 0.685750i
\(383\) −15.6655 + 4.19755i −0.800469 + 0.214485i −0.635790 0.771862i \(-0.719326\pi\)
−0.164679 + 0.986347i \(0.552659\pi\)
\(384\) −16.2013 15.9226i −0.826768 0.812546i
\(385\) −3.39733 4.20765i −0.173144 0.214442i
\(386\) 10.7238i 0.545828i
\(387\) −5.62169 19.6128i −0.285767 0.996974i
\(388\) 0.618510 + 0.165729i 0.0314001 + 0.00841362i
\(389\) 16.7445 + 29.0023i 0.848980 + 1.47048i 0.882120 + 0.471025i \(0.156116\pi\)
−0.0331402 + 0.999451i \(0.510551\pi\)
\(390\) 14.9274 + 20.6734i 0.755877 + 1.04684i
\(391\) −2.35215 −0.118953
\(392\) −2.47300 + 17.9769i −0.124906 + 0.907973i
\(393\) 0.127915 + 14.7447i 0.00645246 + 0.743769i
\(394\) 23.2420 + 13.4188i 1.17092 + 0.676029i
\(395\) 6.74845 0.630119i 0.339552 0.0317047i
\(396\) 0.402633 + 0.670251i 0.0202331 + 0.0336814i
\(397\) −10.2680 + 2.75129i −0.515335 + 0.138084i −0.507108 0.861883i \(-0.669285\pi\)
−0.00822688 + 0.999966i \(0.502619\pi\)
\(398\) 18.4028 + 18.4028i 0.922449 + 0.922449i
\(399\) 28.3335 + 13.7698i 1.41845 + 0.689353i
\(400\) 14.6269 + 17.0241i 0.731344 + 0.851204i
\(401\) −33.3226 19.2388i −1.66405 0.960741i −0.970749 0.240096i \(-0.922821\pi\)
−0.693304 0.720646i \(-0.743845\pi\)
\(402\) −9.40187 15.9631i −0.468922 0.796166i
\(403\) −19.4942 5.22346i −0.971076 0.260199i
\(404\) 0.662233 1.14702i 0.0329473 0.0570664i
\(405\) −18.5688 7.75890i −0.922690 0.385543i
\(406\) 10.6736 + 2.15535i 0.529721 + 0.106968i
\(407\) 0.518601 0.518601i 0.0257061 0.0257061i
\(408\) −2.66073 + 4.70226i −0.131726 + 0.232797i
\(409\) 0.838832 0.484300i 0.0414776 0.0239471i −0.479118 0.877751i \(-0.659043\pi\)
0.520595 + 0.853804i \(0.325710\pi\)
\(410\) 1.99110 2.40122i 0.0983335 0.118588i
\(411\) 4.78175 + 17.2459i 0.235866 + 0.850676i
\(412\) 2.12308 + 2.12308i 0.104597 + 0.104597i
\(413\) 26.0901 1.63396i 1.28381 0.0804021i
\(414\) −8.86342 + 0.153798i −0.435613 + 0.00755876i
\(415\) −7.42255 1.26418i −0.364359 0.0620560i
\(416\) 6.03923 3.48675i 0.296098 0.170952i
\(417\) −4.53023 + 2.66820i −0.221846 + 0.130662i
\(418\) 2.45857 + 9.17553i 0.120253 + 0.448790i
\(419\) 24.3482 1.18949 0.594743 0.803916i \(-0.297254\pi\)
0.594743 + 0.803916i \(0.297254\pi\)
\(420\) −1.02722 + 2.73504i −0.0501230 + 0.133456i
\(421\) 1.75923 0.0857395 0.0428698 0.999081i \(-0.486350\pi\)
0.0428698 + 0.999081i \(0.486350\pi\)
\(422\) 3.81600 + 14.2415i 0.185760 + 0.693265i
\(423\) −30.5087 7.61000i −1.48338 0.370011i
\(424\) 24.7609 14.2957i 1.20249 0.694261i
\(425\) 3.39316 4.96837i 0.164593 0.241001i
\(426\) −1.04155 1.02364i −0.0504634 0.0495954i
\(427\) 1.56286 + 2.35375i 0.0756322 + 0.113906i
\(428\) 1.27559 + 1.27559i 0.0616581 + 0.0616581i
\(429\) 6.64518 1.84250i 0.320832 0.0889569i
\(430\) 22.8885 2.13716i 1.10378 0.103063i
\(431\) 18.5687 10.7206i 0.894422 0.516395i 0.0190357 0.999819i \(-0.493940\pi\)
0.875386 + 0.483424i \(0.160607\pi\)
\(432\) −11.1330 + 20.4969i −0.535637 + 0.986157i
\(433\) −26.8036 + 26.8036i −1.28810 + 1.28810i −0.352161 + 0.935940i \(0.614553\pi\)
−0.935940 + 0.352161i \(0.885447\pi\)
\(434\) −5.90612 17.5663i −0.283503 0.843209i
\(435\) −9.62034 4.31721i −0.461260 0.206994i
\(436\) −1.22872 + 2.12821i −0.0588452 + 0.101923i
\(437\) −12.9798 3.47792i −0.620907 0.166371i
\(438\) −4.91750 + 2.89629i −0.234967 + 0.138390i
\(439\) 2.05458 + 1.18621i 0.0980598 + 0.0566149i 0.548228 0.836329i \(-0.315303\pi\)
−0.450168 + 0.892944i \(0.648636\pi\)
\(440\) 4.96855 1.84131i 0.236866 0.0877810i
\(441\) 20.7873 2.98119i 0.989872 0.141961i
\(442\) −5.60198 5.60198i −0.266459 0.266459i
\(443\) −21.0154 + 5.63107i −0.998473 + 0.267540i −0.720806 0.693137i \(-0.756228\pi\)
−0.277668 + 0.960677i \(0.589561\pi\)
\(444\) −0.383590 0.0992242i −0.0182044 0.00470897i
\(445\) 2.34793 + 25.1459i 0.111303 + 1.19203i
\(446\) −16.9826 9.80492i −0.804150 0.464276i
\(447\) −22.3082 + 0.193531i −1.05514 + 0.00915372i
\(448\) −15.5381 7.71870i −0.734104 0.364674i
\(449\) −28.8886 −1.36334 −0.681669 0.731661i \(-0.738746\pi\)
−0.681669 + 0.731661i \(0.738746\pi\)
\(450\) 12.4613 18.9438i 0.587433 0.893018i
\(451\) −0.421789 0.730561i −0.0198613 0.0344008i
\(452\) −2.89840 0.776625i −0.136329 0.0365293i
\(453\) −10.1494 + 17.9369i −0.476861 + 0.842748i
\(454\) 36.3425i 1.70564i
\(455\) 20.8242 + 15.1752i 0.976253 + 0.711427i
\(456\) −21.6355 + 22.0141i −1.01317 + 1.03091i
\(457\) 1.89885 0.508794i 0.0888242 0.0238004i −0.214133 0.976804i \(-0.568693\pi\)
0.302957 + 0.953004i \(0.402026\pi\)
\(458\) −1.27425 + 4.75557i −0.0595419 + 0.222213i
\(459\) 6.07954 + 1.46056i 0.283769 + 0.0681732i
\(460\) 0.209240 1.22854i 0.00975586 0.0572810i
\(461\) 17.4281i 0.811709i 0.913938 + 0.405854i \(0.133026\pi\)
−0.913938 + 0.405854i \(0.866974\pi\)
\(462\) 4.78493 + 4.14766i 0.222615 + 0.192967i
\(463\) 14.8405 14.8405i 0.689698 0.689698i −0.272467 0.962165i \(-0.587840\pi\)
0.962165 + 0.272467i \(0.0878395\pi\)
\(464\) −6.11082 + 10.5843i −0.283688 + 0.491362i
\(465\) 1.82339 + 17.8536i 0.0845579 + 0.827940i
\(466\) 12.6063 + 21.8348i 0.583977 + 1.01148i
\(467\) −3.26272 12.1766i −0.150981 0.563468i −0.999416 0.0341687i \(-0.989122\pi\)
0.848435 0.529299i \(-0.177545\pi\)
\(468\) −2.67956 2.58816i −0.123863 0.119638i
\(469\) −14.0389 12.3841i −0.648257 0.571845i
\(470\) 14.7849 32.1956i 0.681978 1.48507i
\(471\) 23.2210 6.43846i 1.06997 0.296669i
\(472\) −6.62921 + 24.7405i −0.305134 + 1.13878i
\(473\) 1.60902 6.00493i 0.0739827 0.276107i
\(474\) −7.64779 + 2.12050i −0.351275 + 0.0973976i
\(475\) 26.0707 22.3996i 1.19620 1.02776i
\(476\) 0.179669 0.889748i 0.00823512 0.0407815i
\(477\) −23.7990 22.9872i −1.08968 1.05251i
\(478\) −5.94008 22.1687i −0.271693 1.01397i
\(479\) 5.14393 + 8.90955i 0.235032 + 0.407088i 0.959282 0.282450i \(-0.0911471\pi\)
−0.724250 + 0.689538i \(0.757814\pi\)
\(480\) −4.80765 3.91663i −0.219438 0.178769i
\(481\) −1.74722 + 3.02627i −0.0796662 + 0.137986i
\(482\) −0.126948 + 0.126948i −0.00578232 + 0.00578232i
\(483\) −8.46564 + 2.92829i −0.385200 + 0.133242i
\(484\) 2.89804i 0.131729i
\(485\) −4.95057 0.843160i −0.224794 0.0382859i
\(486\) 23.0046 + 5.10621i 1.04351 + 0.231622i
\(487\) 4.82573 18.0099i 0.218675 0.816105i −0.766166 0.642643i \(-0.777838\pi\)
0.984841 0.173462i \(-0.0554954\pi\)
\(488\) −2.67398 + 0.716491i −0.121045 + 0.0324340i
\(489\) −29.2517 + 29.7637i −1.32281 + 1.34596i
\(490\) −1.03142 + 23.6387i −0.0465947 + 1.06789i
\(491\) 24.6940i 1.11442i 0.830370 + 0.557212i \(0.188129\pi\)
−0.830370 + 0.557212i \(0.811871\pi\)
\(492\) −0.224433 + 0.396637i −0.0101182 + 0.0178818i
\(493\) 3.16448 + 0.847921i 0.142521 + 0.0381884i
\(494\) −22.6300 39.1964i −1.01817 1.76353i
\(495\) −3.63272 4.94020i −0.163279 0.222046i
\(496\) 20.8007 0.933977
\(497\) −1.32161 0.656522i −0.0592821 0.0294490i
\(498\) 8.81609 0.0764827i 0.395058 0.00342727i
\(499\) −11.1524 6.43883i −0.499249 0.288242i 0.229154 0.973390i \(-0.426404\pi\)
−0.728403 + 0.685148i \(0.759737\pi\)
\(500\) 2.29316 + 2.21424i 0.102553 + 0.0990239i
\(501\) −11.8298 3.06005i −0.528517 0.136713i
\(502\) 24.5678 6.58292i 1.09651 0.293810i
\(503\) −2.81929 2.81929i −0.125706 0.125706i 0.641455 0.767161i \(-0.278331\pi\)
−0.767161 + 0.641455i \(0.778331\pi\)
\(504\) −3.72221 + 20.2364i −0.165801 + 0.901402i
\(505\) −4.33485 + 9.43955i −0.192898 + 0.420055i
\(506\) −2.33925 1.35057i −0.103992 0.0600400i
\(507\) −8.90919 + 5.24729i −0.395671 + 0.233041i
\(508\) 1.72497 + 0.462205i 0.0765333 + 0.0205070i
\(509\) 20.2795 35.1250i 0.898871 1.55689i 0.0699315 0.997552i \(-0.477722\pi\)
0.828939 0.559338i \(-0.188945\pi\)
\(510\) −2.88433 + 6.42736i −0.127720 + 0.284608i
\(511\) −3.81498 + 4.32475i −0.168765 + 0.191316i
\(512\) 11.3747 11.3747i 0.502695 0.502695i
\(513\) 31.3889 + 17.0491i 1.38585 + 0.752735i
\(514\) −18.2192 + 10.5189i −0.803616 + 0.463968i
\(515\) −18.1264 15.0304i −0.798743 0.662321i
\(516\) −3.23641 + 0.897357i −0.142475 + 0.0395040i
\(517\) −6.77477 6.77477i −0.297954 0.297954i
\(518\) −3.20259 + 0.200571i −0.140714 + 0.00881258i
\(519\) −29.7281 29.2167i −1.30492 1.28247i
\(520\) −20.5959 + 14.6013i −0.903191 + 0.640309i
\(521\) 13.7175 7.91980i 0.600974 0.346973i −0.168451 0.985710i \(-0.553876\pi\)
0.769425 + 0.638738i \(0.220543\pi\)
\(522\) 11.9799 + 2.98824i 0.524347 + 0.130792i
\(523\) 3.48603 + 13.0100i 0.152433 + 0.568889i 0.999311 + 0.0371021i \(0.0118127\pi\)
−0.846878 + 0.531787i \(0.821521\pi\)
\(524\) 2.42724 0.106035
\(525\) 6.02703 22.1060i 0.263041 0.964785i
\(526\) −32.5151 −1.41772
\(527\) −1.44312 5.38580i −0.0628633 0.234609i
\(528\) −6.12405 + 3.60692i −0.266515 + 0.156971i
\(529\) −16.6095 + 9.58948i −0.722151 + 0.416934i
\(530\) 30.4134 21.5613i 1.32107 0.936562i
\(531\) 29.6369 0.514259i 1.28613 0.0223170i
\(532\) 2.30706 4.64420i 0.100024 0.201352i
\(533\) 2.84210 + 2.84210i 0.123105 + 0.123105i
\(534\) −7.90133 28.4970i −0.341924 1.23318i
\(535\) −10.8907 9.03063i −0.470848 0.390428i
\(536\) 15.8850 9.17122i 0.686128 0.396136i
\(537\) 4.36602 7.71598i 0.188408 0.332969i
\(538\) −20.1835 + 20.1835i −0.870171 + 0.870171i
\(539\) 5.89740 + 2.48301i 0.254019 + 0.106951i
\(540\) −1.30368 + 3.04546i −0.0561014 + 0.131056i
\(541\) 15.9766 27.6722i 0.686887 1.18972i −0.285953 0.958244i \(-0.592310\pi\)
0.972840 0.231479i \(-0.0743565\pi\)
\(542\) −5.41983 1.45224i −0.232801 0.0623790i
\(543\) 1.55605 + 2.64197i 0.0667766 + 0.113378i
\(544\) 1.66850 + 0.963310i 0.0715364 + 0.0413016i
\(545\) 8.04299 17.5144i 0.344524 0.750234i
\(546\) −27.1363 13.1880i −1.16133 0.564394i
\(547\) 24.7307 + 24.7307i 1.05741 + 1.05741i 0.998249 + 0.0591593i \(0.0188420\pi\)
0.0591593 + 0.998249i \(0.481158\pi\)
\(548\) 2.84560 0.762477i 0.121558 0.0325714i
\(549\) 1.64973 + 2.74625i 0.0704086 + 0.117207i
\(550\) 6.22731 2.99282i 0.265534 0.127614i
\(551\) 16.2087 + 9.35811i 0.690515 + 0.398669i
\(552\) −0.0761397 8.77655i −0.00324072 0.373555i
\(553\) −6.68097 + 4.43608i −0.284104 + 0.188641i
\(554\) −11.4306 −0.485640
\(555\) 3.06767 + 0.495128i 0.130215 + 0.0210170i
\(556\) 0.432732 + 0.749514i 0.0183519 + 0.0317865i
\(557\) −3.74061 1.00229i −0.158495 0.0424686i 0.178699 0.983904i \(-0.442811\pi\)
−0.337194 + 0.941435i \(0.609478\pi\)
\(558\) −5.79016 20.2005i −0.245117 0.855157i
\(559\) 29.6205i 1.25281i
\(560\) −24.7794 9.55263i −1.04712 0.403672i
\(561\) 1.35880 + 1.33542i 0.0573685 + 0.0563817i
\(562\) −17.6016 + 4.71632i −0.742477 + 0.198946i
\(563\) −9.46140 + 35.3104i −0.398751 + 1.48816i 0.416547 + 0.909114i \(0.363240\pi\)
−0.815297 + 0.579043i \(0.803426\pi\)
\(564\) −1.29622 + 5.01105i −0.0545807 + 0.211003i
\(565\) 23.1989 + 3.95114i 0.975986 + 0.166226i
\(566\) 36.3002i 1.52581i
\(567\) 23.6993 2.31196i 0.995275 0.0970934i
\(568\) 1.02240 1.02240i 0.0428989 0.0428989i
\(569\) −8.11965 + 14.0636i −0.340393 + 0.589579i −0.984506 0.175352i \(-0.943894\pi\)
0.644112 + 0.764931i \(0.277227\pi\)
\(570\) −25.4201 + 31.2030i −1.06473 + 1.30695i
\(571\) −20.1402 34.8839i −0.842843 1.45985i −0.887481 0.460844i \(-0.847547\pi\)
0.0446382 0.999003i \(-0.485786\pi\)
\(572\) −0.293798 1.09647i −0.0122843 0.0458457i
\(573\) −0.137921 15.8980i −0.00576174 0.664151i
\(574\) −0.730561 + 3.61784i −0.0304930 + 0.151006i
\(575\) −0.738139 + 9.74583i −0.0307825 + 0.406429i
\(576\) −17.2051 9.53925i −0.716879 0.397469i
\(577\) 4.47305 16.6936i 0.186215 0.694965i −0.808152 0.588974i \(-0.799532\pi\)
0.994367 0.105991i \(-0.0338014\pi\)
\(578\) −6.08469 + 22.7084i −0.253090 + 0.944544i
\(579\) −3.28303 11.8406i −0.136438 0.492078i
\(580\) −0.724378 + 1.57740i −0.0300781 + 0.0654980i
\(581\) 8.44443 2.83918i 0.350334 0.117789i
\(582\) 5.88001 0.0510111i 0.243734 0.00211448i
\(583\) −2.60942 9.73848i −0.108071 0.403327i
\(584\) −2.82524 4.89345i −0.116909 0.202492i
\(585\) 22.8109 + 18.2564i 0.943114 + 0.754808i
\(586\) −13.0939 + 22.6793i −0.540905 + 0.936875i
\(587\) −0.596922 + 0.596922i −0.0246376 + 0.0246376i −0.719318 0.694681i \(-0.755546\pi\)
0.694681 + 0.719318i \(0.255546\pi\)
\(588\) −0.461037 3.42598i −0.0190128 0.141285i
\(589\) 31.8541i 1.31253i
\(590\) −5.60740 + 32.9236i −0.230853 + 1.35544i
\(591\) 29.7705 + 7.70081i 1.22459 + 0.316769i
\(592\) 0.932155 3.47885i 0.0383113 0.142980i
\(593\) 9.06443 2.42881i 0.372232 0.0997391i −0.0678534 0.997695i \(-0.521615\pi\)
0.440085 + 0.897956i \(0.354948\pi\)
\(594\) 5.20757 + 4.94333i 0.213669 + 0.202827i
\(595\) −0.754250 + 7.07874i −0.0309212 + 0.290200i
\(596\) 3.67234i 0.150425i
\(597\) 25.9531 + 14.6853i 1.06219 + 0.601030i
\(598\) 12.4313 + 3.33097i 0.508355 + 0.136213i
\(599\) −3.14342 5.44456i −0.128437 0.222459i 0.794634 0.607088i \(-0.207663\pi\)
−0.923071 + 0.384629i \(0.874329\pi\)
\(600\) 18.6483 + 12.5001i 0.761313 + 0.510313i
\(601\) 9.39584 0.383264 0.191632 0.981467i \(-0.438622\pi\)
0.191632 + 0.981467i \(0.438622\pi\)
\(602\) −22.6597 + 15.0457i −0.923539 + 0.613217i
\(603\) −15.2679 14.7471i −0.621759 0.600549i
\(604\) 2.93803 + 1.69627i 0.119547 + 0.0690203i
\(605\) 2.11300 + 22.6298i 0.0859057 + 0.920034i
\(606\) 3.04592 11.7752i 0.123732 0.478335i
\(607\) −13.6778 + 3.66495i −0.555164 + 0.148756i −0.525484 0.850804i \(-0.676116\pi\)
−0.0296803 + 0.999559i \(0.509449\pi\)
\(608\) 7.78287 + 7.78287i 0.315637 + 0.315637i
\(609\) 12.4449 0.887845i 0.504295 0.0359773i
\(610\) −3.38470 + 1.25435i −0.137042 + 0.0507870i
\(611\) 39.5338 + 22.8248i 1.59937 + 0.923395i
\(612\) 0.249099 0.998644i 0.0100692 0.0403678i
\(613\) 4.19289 + 1.12348i 0.169349 + 0.0453770i 0.342497 0.939519i \(-0.388727\pi\)
−0.173148 + 0.984896i \(0.555394\pi\)
\(614\) −13.3643 + 23.1476i −0.539339 + 0.934162i
\(615\) 1.46333 3.26084i 0.0590072 0.131490i
\(616\) −4.14749 + 4.70170i −0.167107 + 0.189437i
\(617\) −3.80377 + 3.80377i −0.153134 + 0.153134i −0.779516 0.626382i \(-0.784535\pi\)
0.626382 + 0.779516i \(0.284535\pi\)
\(618\) 23.9970 + 13.5785i 0.965301 + 0.546206i
\(619\) 18.8856 10.9036i 0.759075 0.438252i −0.0698884 0.997555i \(-0.522264\pi\)
0.828964 + 0.559303i \(0.188931\pi\)
\(620\) 2.94141 0.274647i 0.118130 0.0110301i
\(621\) −9.73934 + 2.88329i −0.390826 + 0.115702i
\(622\) −25.0547 25.0547i −1.00460 1.00460i
\(623\) −16.5296 24.8944i −0.662243 0.997375i
\(624\) 23.7366 24.1520i 0.950224 0.966855i
\(625\) −19.5210 15.6183i −0.780839 0.624732i
\(626\) −13.8771 + 8.01194i −0.554640 + 0.320221i
\(627\) 5.52363 + 9.37837i 0.220592 + 0.374536i
\(628\) −1.02665 3.83151i −0.0409678 0.152894i
\(629\) −0.965431 −0.0384943
\(630\) −2.37933 + 26.7236i −0.0947948 + 1.06469i
\(631\) 8.91815 0.355026 0.177513 0.984118i \(-0.443195\pi\)
0.177513 + 0.984118i \(0.443195\pi\)
\(632\) −2.03371 7.58991i −0.0808967 0.301911i
\(633\) 8.57332 + 14.5563i 0.340759 + 0.578562i
\(634\) 26.8933 15.5268i 1.06807 0.616650i
\(635\) −13.8067 2.35151i −0.547904 0.0933167i
\(636\) −3.81782 + 3.88464i −0.151386 + 0.154036i
\(637\) −30.2034 4.15494i −1.19670 0.164625i
\(638\) 2.66027 + 2.66027i 0.105321 + 0.105321i
\(639\) −1.46340 0.811371i −0.0578911 0.0320973i
\(640\) 18.7190 22.5747i 0.739933 0.892343i
\(641\) −33.8421 + 19.5388i −1.33668 + 0.771735i −0.986314 0.164876i \(-0.947278\pi\)
−0.350370 + 0.936611i \(0.613944\pi\)
\(642\) 14.4179 + 8.15826i 0.569031 + 0.321981i
\(643\) 10.9666 10.9666i 0.432481 0.432481i −0.456991 0.889471i \(-0.651073\pi\)
0.889471 + 0.456991i \(0.151073\pi\)
\(644\) 0.469926 + 1.39768i 0.0185177 + 0.0550762i
\(645\) 24.6178 9.36688i 0.969325 0.368821i
\(646\) 6.25216 10.8291i 0.245988 0.426064i
\(647\) 13.9465 + 3.73697i 0.548295 + 0.146915i 0.522324 0.852747i \(-0.325065\pi\)
0.0259718 + 0.999663i \(0.491732\pi\)
\(648\) −5.25299 + 22.7318i −0.206357 + 0.892991i
\(649\) 7.82182 + 4.51593i 0.307033 + 0.177266i
\(650\) −24.9691 + 21.4531i −0.979369 + 0.841461i
\(651\) −11.8990 17.5875i −0.466358 0.689308i
\(652\) 4.85751 + 4.85751i 0.190235 + 0.190235i
\(653\) 16.9064 4.53005i 0.661597 0.177274i 0.0876304 0.996153i \(-0.472071\pi\)
0.573967 + 0.818879i \(0.305404\pi\)
\(654\) −5.65148 + 21.8480i −0.220990 + 0.854325i
\(655\) −18.9535 + 1.76974i −0.740576 + 0.0691493i
\(656\) −3.58756 2.07128i −0.140071 0.0808699i
\(657\) −4.54292 + 4.70336i −0.177236 + 0.183496i
\(658\) 2.62017 + 41.8372i 0.102145 + 1.63098i
\(659\) −7.49888 −0.292115 −0.146057 0.989276i \(-0.546658\pi\)
−0.146057 + 0.989276i \(0.546658\pi\)
\(660\) −0.818375 + 0.590913i −0.0318552 + 0.0230013i
\(661\) 12.8552 + 22.2658i 0.500008 + 0.866038i 1.00000 8.71032e-6i \(2.77258e-6\pi\)
−0.499992 + 0.866030i \(0.666664\pi\)
\(662\) 46.6252 + 12.4932i 1.81214 + 0.485561i
\(663\) −7.90037 4.47035i −0.306825 0.173614i
\(664\) 8.72904i 0.338752i
\(665\) −14.6289 + 37.9471i −0.567284 + 1.47153i
\(666\) −3.63796 + 0.0631259i −0.140968 + 0.00244608i
\(667\) −5.14068 + 1.37744i −0.199048 + 0.0533347i
\(668\) −0.520595 + 1.94289i −0.0201424 + 0.0751726i
\(669\) −21.7528 5.62686i −0.841014 0.217547i
\(670\) 19.5113 13.8324i 0.753787 0.534391i
\(671\) 0.976172i 0.0376847i
\(672\) 7.20439 + 1.38987i 0.277915 + 0.0536153i
\(673\) 9.04384 9.04384i 0.348614 0.348614i −0.510979 0.859593i \(-0.670717\pi\)
0.859593 + 0.510979i \(0.170717\pi\)
\(674\) 10.0494 17.4061i 0.387090 0.670459i
\(675\) 7.95951 24.7315i 0.306362 0.951915i
\(676\) 0.851014 + 1.47400i 0.0327313 + 0.0566923i
\(677\) 8.83924 + 32.9885i 0.339719 + 1.26785i 0.898661 + 0.438643i \(0.144541\pi\)
−0.558942 + 0.829207i \(0.688792\pi\)
\(678\) −27.5544 + 0.239044i −1.05822 + 0.00918042i
\(679\) 5.63213 1.89363i 0.216141 0.0726708i
\(680\) −6.33864 2.91084i −0.243076 0.111626i
\(681\) −11.1260 40.1271i −0.426349 1.53767i
\(682\) 1.65724 6.18489i 0.0634588 0.236832i
\(683\) 6.18479 23.0820i 0.236654 0.883206i −0.740742 0.671790i \(-0.765526\pi\)
0.977396 0.211416i \(-0.0678076\pi\)
\(684\) 2.85121 5.14246i 0.109019 0.196627i
\(685\) −21.6644 + 8.02870i −0.827756 + 0.306761i
\(686\) −12.1633 25.2161i −0.464396 0.962754i
\(687\) 0.0489368 + 5.64091i 0.00186706 + 0.215214i
\(688\) −7.90140 29.4884i −0.301238 1.12424i
\(689\) 24.0185 + 41.6012i 0.915031 + 1.58488i
\(690\) −1.16277 11.3851i −0.0442658 0.433424i
\(691\) −10.0976 + 17.4895i −0.384129 + 0.665332i −0.991648 0.128974i \(-0.958832\pi\)
0.607519 + 0.794305i \(0.292165\pi\)
\(692\) −4.85170 + 4.85170i −0.184434 + 0.184434i
\(693\) 6.55299 + 3.11471i 0.248928 + 0.118318i
\(694\) 24.3128i 0.922899i
\(695\) −3.92554 5.53720i −0.148904 0.210038i
\(696\) −3.06141 + 11.8351i −0.116042 + 0.448607i
\(697\) −0.287405 + 1.07261i −0.0108863 + 0.0406281i
\(698\) −13.4482 + 3.60343i −0.509021 + 0.136392i
\(699\) 20.6037 + 20.2493i 0.779304 + 0.765899i
\(700\) −3.63018 1.02365i −0.137208 0.0386905i
\(701\) 49.4540i 1.86785i 0.357467 + 0.933926i \(0.383640\pi\)
−0.357467 + 0.933926i \(0.616360\pi\)
\(702\) −30.0626 16.3287i −1.13464 0.616287i
\(703\) −5.32750 1.42750i −0.200931 0.0538392i
\(704\) −2.99717 5.19126i −0.112960 0.195653i
\(705\) 6.46813 40.0747i 0.243604 1.50930i
\(706\) −15.7936 −0.594398
\(707\) −0.768217 12.2664i −0.0288918 0.461325i
\(708\) −0.0423283 4.87915i −0.00159080 0.183370i
\(709\) 33.9663 + 19.6105i 1.27563 + 0.736486i 0.976042 0.217582i \(-0.0698170\pi\)
0.299589 + 0.954068i \(0.403150\pi\)
\(710\) 1.20341 1.45129i 0.0451633 0.0544659i
\(711\) −7.79503 + 4.68264i −0.292337 + 0.175613i
\(712\) 28.2813 7.57795i 1.05989 0.283996i
\(713\) 6.40485 + 6.40485i 0.239864 + 0.239864i
\(714\) −0.593170 8.31448i −0.0221988 0.311162i
\(715\) 3.09362 + 8.34775i 0.115695 + 0.312188i
\(716\) −1.26386 0.729692i −0.0472328 0.0272699i
\(717\) −13.3454 22.6587i −0.498395 0.846206i
\(718\) −2.25121 0.603211i −0.0840145 0.0225116i
\(719\) 0.965960 1.67309i 0.0360242 0.0623958i −0.847451 0.530873i \(-0.821864\pi\)
0.883475 + 0.468478i \(0.155197\pi\)
\(720\) −27.5791 12.0900i −1.02781 0.450569i
\(721\) 27.3104 + 5.51486i 1.01709 + 0.205384i
\(722\) 30.2039 30.2039i 1.12407 1.12407i
\(723\) −0.101304 + 0.179032i −0.00376753 + 0.00665828i
\(724\) 0.437106 0.252363i 0.0162449 0.00937901i
\(725\) 4.50632 12.8456i 0.167360 0.477072i
\(726\) −7.11074 25.6456i −0.263904 0.951798i
\(727\) 15.8726 + 15.8726i 0.588684 + 0.588684i 0.937275 0.348591i \(-0.113340\pi\)
−0.348591 + 0.937275i \(0.613340\pi\)
\(728\) 13.2899 26.7530i 0.492555 0.991534i
\(729\) 26.9634 1.40474i 0.998646 0.0520273i
\(730\) −4.26112 6.01055i −0.157711 0.222460i
\(731\) −7.08709 + 4.09173i −0.262125 + 0.151338i
\(732\) 0.454405 0.267633i 0.0167953 0.00989201i
\(733\) −11.2567 42.0106i −0.415776 1.55170i −0.783277 0.621673i \(-0.786453\pi\)
0.367502 0.930023i \(-0.380213\pi\)
\(734\) −24.2387 −0.894668
\(735\) 6.09801 + 26.4162i 0.224928 + 0.974375i
\(736\) −3.12978 −0.115365
\(737\) −1.67404 6.24759i −0.0616640 0.230133i
\(738\) −1.01287 + 4.06063i −0.0372844 + 0.149474i
\(739\) −23.4387 + 13.5324i −0.862208 + 0.497796i −0.864751 0.502201i \(-0.832524\pi\)
0.00254291 + 0.999997i \(0.499191\pi\)
\(740\) 0.0858818 0.504251i 0.00315708 0.0185366i
\(741\) −36.9864 36.3502i −1.35873 1.33536i
\(742\) −19.6247 + 39.5054i −0.720447 + 1.45029i
\(743\) 2.20467 + 2.20467i 0.0808816 + 0.0808816i 0.746390 0.665509i \(-0.231785\pi\)
−0.665509 + 0.746390i \(0.731785\pi\)
\(744\) 20.0493 5.55905i 0.735043 0.203805i
\(745\) −2.67755 28.6761i −0.0980980 1.05061i
\(746\) 36.7368 21.2100i 1.34503 0.776553i
\(747\) 9.71076 2.78343i 0.355298 0.101840i
\(748\) 0.221760 0.221760i 0.00810833 0.00810833i
\(749\) 16.4087 + 3.31346i 0.599561 + 0.121071i
\(750\) 25.7258 + 13.9679i 0.939374 + 0.510035i
\(751\) −11.9640 + 20.7223i −0.436574 + 0.756168i −0.997423 0.0717501i \(-0.977142\pi\)
0.560849 + 0.827918i \(0.310475\pi\)
\(752\) −45.4461 12.1773i −1.65725 0.444059i
\(753\) 25.1109 14.7897i 0.915092 0.538967i
\(754\) −15.5238 8.96270i −0.565345 0.326402i
\(755\) −24.1789 11.1035i −0.879959 0.404096i
\(756\) −0.346721 3.90435i −0.0126101 0.142000i
\(757\) 34.0440 + 34.0440i 1.23735 + 1.23735i 0.961081 + 0.276268i \(0.0890977\pi\)
0.276268 + 0.961081i \(0.410902\pi\)
\(758\) 27.1892 7.28531i 0.987555 0.264615i
\(759\) −2.99632 0.775066i −0.108759 0.0281331i
\(760\) −30.6743 25.4352i −1.11267 0.922631i
\(761\) −5.74841