Properties

Label 300.2.n.a.71.51
Level $300$
Weight $2$
Character 300.71
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 71.51
Character \(\chi\) \(=\) 300.71
Dual form 300.2.n.a.131.51

$q$-expansion

\(f(q)\) \(=\) \(q+(1.35693 - 0.398416i) q^{2} +(-1.70033 + 0.329973i) q^{3} +(1.68253 - 1.08125i) q^{4} +(0.213026 + 2.22590i) q^{5} +(-2.17576 + 1.12519i) q^{6} +2.98896i q^{7} +(1.85229 - 2.13752i) q^{8} +(2.78224 - 1.12213i) q^{9} +O(q^{10})\) \(q+(1.35693 - 0.398416i) q^{2} +(-1.70033 + 0.329973i) q^{3} +(1.68253 - 1.08125i) q^{4} +(0.213026 + 2.22590i) q^{5} +(-2.17576 + 1.12519i) q^{6} +2.98896i q^{7} +(1.85229 - 2.13752i) q^{8} +(2.78224 - 1.12213i) q^{9} +(1.17589 + 2.93552i) q^{10} +(0.156859 - 0.482761i) q^{11} +(-2.50407 + 2.39366i) q^{12} +(0.990938 + 3.04979i) q^{13} +(1.19085 + 4.05582i) q^{14} +(-1.09670 - 3.71446i) q^{15} +(1.66181 - 3.63846i) q^{16} +(-1.17100 - 1.61174i) q^{17} +(3.32823 - 2.63114i) q^{18} +(3.79428 + 5.22238i) q^{19} +(2.76517 + 3.51481i) q^{20} +(-0.986279 - 5.08222i) q^{21} +(0.0205069 - 0.717569i) q^{22} +(0.913467 - 2.81136i) q^{23} +(-2.44418 + 4.24570i) q^{24} +(-4.90924 + 0.948350i) q^{25} +(2.55972 + 3.74356i) q^{26} +(-4.36044 + 2.82605i) q^{27} +(3.23181 + 5.02902i) q^{28} +(5.48364 - 7.54758i) q^{29} +(-2.96805 - 4.60333i) q^{30} +(-4.51797 - 6.21846i) q^{31} +(0.805350 - 5.59923i) q^{32} +(-0.107413 + 0.872612i) q^{33} +(-2.23110 - 1.72048i) q^{34} +(-6.65313 + 0.636728i) q^{35} +(3.46790 - 4.89629i) q^{36} +(-1.55457 - 4.78449i) q^{37} +(7.22926 + 5.57472i) q^{38} +(-2.69127 - 4.85867i) q^{39} +(5.15250 + 3.66767i) q^{40} +(-7.57344 + 2.46076i) q^{41} +(-3.36315 - 6.50328i) q^{42} +6.65952i q^{43} +(-0.258064 - 0.981863i) q^{44} +(3.09043 + 5.95393i) q^{45} +(0.119422 - 4.17877i) q^{46} +(-1.98597 - 1.44289i) q^{47} +(-1.62504 + 6.73493i) q^{48} -1.93391 q^{49} +(-6.28367 + 3.24276i) q^{50} +(2.52291 + 2.35409i) q^{51} +(4.96486 + 4.05992i) q^{52} +(-5.87637 + 8.08813i) q^{53} +(-4.79088 + 5.57202i) q^{54} +(1.10799 + 0.246310i) q^{55} +(6.38898 + 5.53644i) q^{56} +(-8.17478 - 7.62776i) q^{57} +(4.43385 - 12.4263i) q^{58} +(-1.00139 - 3.08196i) q^{59} +(-5.86148 - 5.06389i) q^{60} +(3.34688 - 10.3006i) q^{61} +(-8.60811 - 6.63799i) q^{62} +(3.35400 + 8.31600i) q^{63} +(-1.13802 - 7.91864i) q^{64} +(-6.57743 + 2.85541i) q^{65} +(0.201910 + 1.22687i) q^{66} +(2.33526 + 3.21421i) q^{67} +(-3.71292 - 1.44566i) q^{68} +(-0.625520 + 5.08166i) q^{69} +(-8.77416 + 3.51471i) q^{70} +(-5.52037 - 4.01078i) q^{71} +(2.75495 - 8.02560i) q^{72} +(1.85520 - 5.70971i) q^{73} +(-4.01567 - 5.87286i) q^{74} +(8.03439 - 3.23242i) q^{75} +(12.0307 + 4.68426i) q^{76} +(1.44296 + 0.468845i) q^{77} +(-5.58764 - 5.52064i) q^{78} +(4.47691 - 6.16194i) q^{79} +(8.45284 + 2.92394i) q^{80} +(6.48167 - 6.24404i) q^{81} +(-9.29624 + 6.35646i) q^{82} +(9.94426 - 7.22493i) q^{83} +(-7.15458 - 7.48458i) q^{84} +(3.33811 - 2.94986i) q^{85} +(2.65326 + 9.03652i) q^{86} +(-6.83349 + 14.6428i) q^{87} +(-0.741366 - 1.22951i) q^{88} +(0.844556 + 0.274413i) q^{89} +(6.56564 + 6.84780i) q^{90} +(-9.11572 + 2.96188i) q^{91} +(-1.50284 - 5.71788i) q^{92} +(9.73396 + 9.08261i) q^{93} +(-3.26970 - 1.16666i) q^{94} +(-10.8162 + 9.55819i) q^{95} +(0.478237 + 9.78628i) q^{96} +(4.04517 + 2.93899i) q^{97} +(-2.62419 + 0.770500i) q^{98} +(-0.105301 - 1.51917i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.35693 0.398416i 0.959496 0.281722i
\(3\) −1.70033 + 0.329973i −0.981685 + 0.190510i
\(4\) 1.68253 1.08125i 0.841265 0.540623i
\(5\) 0.213026 + 2.22590i 0.0952683 + 0.995452i
\(6\) −2.17576 + 1.12519i −0.888252 + 0.459356i
\(7\) 2.98896i 1.12972i 0.825186 + 0.564861i \(0.191070\pi\)
−0.825186 + 0.564861i \(0.808930\pi\)
\(8\) 1.85229 2.13752i 0.654885 0.755729i
\(9\) 2.78224 1.12213i 0.927412 0.374042i
\(10\) 1.17589 + 2.93552i 0.371851 + 0.928293i
\(11\) 0.156859 0.482761i 0.0472947 0.145558i −0.924620 0.380890i \(-0.875618\pi\)
0.971915 + 0.235332i \(0.0756177\pi\)
\(12\) −2.50407 + 2.39366i −0.722863 + 0.690991i
\(13\) 0.990938 + 3.04979i 0.274837 + 0.845860i 0.989263 + 0.146149i \(0.0466880\pi\)
−0.714426 + 0.699711i \(0.753312\pi\)
\(14\) 1.19085 + 4.05582i 0.318268 + 1.08396i
\(15\) −1.09670 3.71446i −0.283167 0.959071i
\(16\) 1.66181 3.63846i 0.415453 0.909614i
\(17\) −1.17100 1.61174i −0.284008 0.390904i 0.643048 0.765826i \(-0.277669\pi\)
−0.927056 + 0.374922i \(0.877669\pi\)
\(18\) 3.32823 2.63114i 0.784472 0.620165i
\(19\) 3.79428 + 5.22238i 0.870468 + 1.19810i 0.978971 + 0.204001i \(0.0653945\pi\)
−0.108502 + 0.994096i \(0.534606\pi\)
\(20\) 2.76517 + 3.51481i 0.618310 + 0.785934i
\(21\) −0.986279 5.08222i −0.215224 1.10903i
\(22\) 0.0205069 0.717569i 0.00437209 0.152986i
\(23\) 0.913467 2.81136i 0.190471 0.586210i −0.809529 0.587080i \(-0.800277\pi\)
1.00000 0.000870877i \(0.000277209\pi\)
\(24\) −2.44418 + 4.24570i −0.498917 + 0.866650i
\(25\) −4.90924 + 0.948350i −0.981848 + 0.189670i
\(26\) 2.55972 + 3.74356i 0.502003 + 0.734172i
\(27\) −4.36044 + 2.82605i −0.839168 + 0.543873i
\(28\) 3.23181 + 5.02902i 0.610754 + 0.950396i
\(29\) 5.48364 7.54758i 1.01829 1.40155i 0.104888 0.994484i \(-0.466552\pi\)
0.913398 0.407067i \(-0.133448\pi\)
\(30\) −2.96805 4.60333i −0.541889 0.840450i
\(31\) −4.51797 6.21846i −0.811452 1.11687i −0.991098 0.133136i \(-0.957495\pi\)
0.179646 0.983731i \(-0.442505\pi\)
\(32\) 0.805350 5.59923i 0.142367 0.989814i
\(33\) −0.107413 + 0.872612i −0.0186982 + 0.151902i
\(34\) −2.23110 1.72048i −0.382631 0.295059i
\(35\) −6.65313 + 0.636728i −1.12458 + 0.107627i
\(36\) 3.46790 4.89629i 0.577983 0.816049i
\(37\) −1.55457 4.78449i −0.255570 0.786565i −0.993717 0.111924i \(-0.964299\pi\)
0.738146 0.674641i \(-0.235701\pi\)
\(38\) 7.22926 + 5.57472i 1.17274 + 0.904339i
\(39\) −2.69127 4.85867i −0.430948 0.778009i
\(40\) 5.15250 + 3.66767i 0.814681 + 0.579909i
\(41\) −7.57344 + 2.46076i −1.18277 + 0.384306i −0.833396 0.552676i \(-0.813607\pi\)
−0.349376 + 0.936982i \(0.613607\pi\)
\(42\) −3.36315 6.50328i −0.518945 1.00348i
\(43\) 6.65952i 1.01557i 0.861485 + 0.507784i \(0.169535\pi\)
−0.861485 + 0.507784i \(0.830465\pi\)
\(44\) −0.258064 0.981863i −0.0389047 0.148021i
\(45\) 3.09043 + 5.95393i 0.460694 + 0.887559i
\(46\) 0.119422 4.17877i 0.0176078 0.616126i
\(47\) −1.98597 1.44289i −0.289684 0.210467i 0.433447 0.901179i \(-0.357297\pi\)
−0.723130 + 0.690712i \(0.757297\pi\)
\(48\) −1.62504 + 6.73493i −0.234554 + 0.972103i
\(49\) −1.93391 −0.276273
\(50\) −6.28367 + 3.24276i −0.888645 + 0.458596i
\(51\) 2.52291 + 2.35409i 0.353278 + 0.329638i
\(52\) 4.96486 + 4.05992i 0.688502 + 0.563010i
\(53\) −5.87637 + 8.08813i −0.807181 + 1.11099i 0.184571 + 0.982819i \(0.440911\pi\)
−0.991752 + 0.128171i \(0.959089\pi\)
\(54\) −4.79088 + 5.57202i −0.651957 + 0.758256i
\(55\) 1.10799 + 0.246310i 0.149402 + 0.0332125i
\(56\) 6.38898 + 5.53644i 0.853764 + 0.739838i
\(57\) −8.17478 7.62776i −1.08278 1.01032i
\(58\) 4.43385 12.4263i 0.582193 1.63166i
\(59\) −1.00139 3.08196i −0.130370 0.401237i 0.864471 0.502682i \(-0.167653\pi\)
−0.994841 + 0.101445i \(0.967653\pi\)
\(60\) −5.86148 5.06389i −0.756714 0.653746i
\(61\) 3.34688 10.3006i 0.428524 1.31886i −0.471056 0.882103i \(-0.656127\pi\)
0.899580 0.436757i \(-0.143873\pi\)
\(62\) −8.60811 6.63799i −1.09323 0.843026i
\(63\) 3.35400 + 8.31600i 0.422564 + 1.04772i
\(64\) −1.13802 7.91864i −0.142252 0.989830i
\(65\) −6.57743 + 2.85541i −0.815830 + 0.354170i
\(66\) 0.201910 + 1.22687i 0.0248534 + 0.151017i
\(67\) 2.33526 + 3.21421i 0.285298 + 0.392678i 0.927480 0.373874i \(-0.121971\pi\)
−0.642182 + 0.766552i \(0.721971\pi\)
\(68\) −3.71292 1.44566i −0.450258 0.175312i
\(69\) −0.625520 + 5.08166i −0.0753037 + 0.611760i
\(70\) −8.77416 + 3.51471i −1.04871 + 0.420088i
\(71\) −5.52037 4.01078i −0.655147 0.475992i 0.209873 0.977729i \(-0.432695\pi\)
−0.865021 + 0.501736i \(0.832695\pi\)
\(72\) 2.75495 8.02560i 0.324673 0.945826i
\(73\) 1.85520 5.70971i 0.217134 0.668270i −0.781861 0.623453i \(-0.785729\pi\)
0.998995 0.0448176i \(-0.0142707\pi\)
\(74\) −4.01567 5.87286i −0.466812 0.682706i
\(75\) 8.03439 3.23242i 0.927732 0.373248i
\(76\) 12.0307 + 4.68426i 1.38001 + 0.537322i
\(77\) 1.44296 + 0.468845i 0.164440 + 0.0534299i
\(78\) −5.58764 5.52064i −0.632676 0.625089i
\(79\) 4.47691 6.16194i 0.503692 0.693272i −0.479148 0.877734i \(-0.659054\pi\)
0.982840 + 0.184462i \(0.0590543\pi\)
\(80\) 8.45284 + 2.92394i 0.945057 + 0.326906i
\(81\) 6.48167 6.24404i 0.720185 0.693782i
\(82\) −9.29624 + 6.35646i −1.02660 + 0.701954i
\(83\) 9.94426 7.22493i 1.09152 0.793039i 0.111868 0.993723i \(-0.464317\pi\)
0.979656 + 0.200684i \(0.0643166\pi\)
\(84\) −7.15458 7.48458i −0.780628 0.816635i
\(85\) 3.33811 2.94986i 0.362069 0.319957i
\(86\) 2.65326 + 9.03652i 0.286108 + 0.974433i
\(87\) −6.83349 + 14.6428i −0.732627 + 1.56988i
\(88\) −0.741366 1.22951i −0.0790298 0.131066i
\(89\) 0.844556 + 0.274413i 0.0895228 + 0.0290877i 0.353436 0.935459i \(-0.385013\pi\)
−0.263913 + 0.964546i \(0.585013\pi\)
\(90\) 6.56564 + 6.84780i 0.692079 + 0.721822i
\(91\) −9.11572 + 2.96188i −0.955588 + 0.310489i
\(92\) −1.50284 5.71788i −0.156682 0.596131i
\(93\) 9.73396 + 9.08261i 1.00937 + 0.941823i
\(94\) −3.26970 1.16666i −0.337244 0.120332i
\(95\) −10.8162 + 9.55819i −1.10972 + 0.980650i
\(96\) 0.478237 + 9.78628i 0.0488099 + 0.998808i
\(97\) 4.04517 + 2.93899i 0.410725 + 0.298409i 0.773895 0.633314i \(-0.218306\pi\)
−0.363170 + 0.931723i \(0.618306\pi\)
\(98\) −2.62419 + 0.770500i −0.265083 + 0.0778323i
\(99\) −0.105301 1.51917i −0.0105832 0.152682i
\(100\) −7.23454 + 6.90372i −0.723454 + 0.690372i
\(101\) 2.42189i 0.240987i 0.992714 + 0.120494i \(0.0384477\pi\)
−0.992714 + 0.120494i \(0.961552\pi\)
\(102\) 4.36132 + 2.18917i 0.431835 + 0.216760i
\(103\) 7.55183 10.3942i 0.744103 1.02417i −0.254269 0.967134i \(-0.581835\pi\)
0.998372 0.0570369i \(-0.0181653\pi\)
\(104\) 8.35451 + 3.53096i 0.819227 + 0.346239i
\(105\) 11.1024 3.27800i 1.08348 0.319900i
\(106\) −4.75140 + 13.3163i −0.461497 + 1.29339i
\(107\) 10.1786 0.983999 0.491999 0.870596i \(-0.336266\pi\)
0.491999 + 0.870596i \(0.336266\pi\)
\(108\) −4.28092 + 9.46962i −0.411932 + 0.911215i
\(109\) 2.83464 + 8.72414i 0.271510 + 0.835621i 0.990122 + 0.140210i \(0.0447777\pi\)
−0.718612 + 0.695411i \(0.755222\pi\)
\(110\) 1.60160 0.107215i 0.152707 0.0102225i
\(111\) 4.22204 + 7.62223i 0.400738 + 0.723470i
\(112\) 10.8752 + 4.96710i 1.02761 + 0.469347i
\(113\) 0.0222921 0.00724314i 0.00209706 0.000681377i −0.307968 0.951397i \(-0.599649\pi\)
0.310065 + 0.950715i \(0.399649\pi\)
\(114\) −14.1316 7.09339i −1.32355 0.664357i
\(115\) 6.45240 + 1.43439i 0.601689 + 0.133758i
\(116\) 1.06559 18.6282i 0.0989379 1.72958i
\(117\) 6.17928 + 7.37328i 0.571274 + 0.681660i
\(118\) −2.58672 3.78304i −0.238127 0.348257i
\(119\) 4.81743 3.50006i 0.441613 0.320850i
\(120\) −9.97117 4.53605i −0.910239 0.414083i
\(121\) 8.69073 + 6.31419i 0.790067 + 0.574017i
\(122\) 0.437553 15.3107i 0.0396142 1.38617i
\(123\) 12.0653 6.68313i 1.08790 0.602598i
\(124\) −14.3253 5.57770i −1.28645 0.500892i
\(125\) −3.15673 10.7254i −0.282346 0.959313i
\(126\) 7.86437 + 9.94797i 0.700614 + 0.886235i
\(127\) 3.88750 + 1.26312i 0.344959 + 0.112084i 0.476372 0.879244i \(-0.341951\pi\)
−0.131413 + 0.991328i \(0.541951\pi\)
\(128\) −4.69912 10.2917i −0.415348 0.909663i
\(129\) −2.19746 11.3234i −0.193476 0.996968i
\(130\) −7.78749 + 6.49515i −0.683008 + 0.569663i
\(131\) −8.81645 + 6.40552i −0.770296 + 0.559653i −0.902051 0.431629i \(-0.857939\pi\)
0.131755 + 0.991282i \(0.457939\pi\)
\(132\) 0.762783 + 1.58434i 0.0663917 + 0.137899i
\(133\) −15.6095 + 11.3410i −1.35352 + 0.983388i
\(134\) 4.44938 + 3.43106i 0.384368 + 0.296399i
\(135\) −7.21938 9.10388i −0.621345 0.783537i
\(136\) −5.61415 0.482379i −0.481410 0.0413637i
\(137\) −19.3739 + 6.29497i −1.65523 + 0.537816i −0.979863 0.199670i \(-0.936013\pi\)
−0.675363 + 0.737485i \(0.736013\pi\)
\(138\) 1.17583 + 7.14468i 0.100093 + 0.608196i
\(139\) 1.20074 + 0.390143i 0.101845 + 0.0330915i 0.359496 0.933147i \(-0.382949\pi\)
−0.257651 + 0.966238i \(0.582949\pi\)
\(140\) −10.5056 + 8.26498i −0.887888 + 0.698519i
\(141\) 3.85292 + 1.79807i 0.324474 + 0.151425i
\(142\) −9.08873 3.24296i −0.762709 0.272143i
\(143\) 1.62776 0.136120
\(144\) 0.540748 11.9878i 0.0450624 0.998984i
\(145\) 17.9683 + 10.5982i 1.49219 + 0.880131i
\(146\) 0.242539 8.48682i 0.0200727 0.702374i
\(147\) 3.28828 0.638139i 0.271213 0.0526328i
\(148\) −7.78882 6.36916i −0.640237 0.523542i
\(149\) 16.5478i 1.35565i 0.735223 + 0.677825i \(0.237077\pi\)
−0.735223 + 0.677825i \(0.762923\pi\)
\(150\) 9.61428 7.58721i 0.785002 0.619493i
\(151\) 17.4934i 1.42359i −0.702386 0.711796i \(-0.747882\pi\)
0.702386 0.711796i \(-0.252118\pi\)
\(152\) 18.1911 + 1.56302i 1.47549 + 0.126777i
\(153\) −5.06656 3.17023i −0.409607 0.256298i
\(154\) 2.14479 + 0.0612944i 0.172832 + 0.00493924i
\(155\) 12.8792 11.3812i 1.03448 0.914163i
\(156\) −9.78156 5.26493i −0.783151 0.421532i
\(157\) −18.0026 −1.43677 −0.718383 0.695648i \(-0.755117\pi\)
−0.718383 + 0.695648i \(0.755117\pi\)
\(158\) 3.61985 10.1450i 0.287980 0.807093i
\(159\) 7.32289 15.6915i 0.580743 1.24442i
\(160\) 12.6349 + 0.599843i 0.998875 + 0.0474217i
\(161\) 8.40306 + 2.73032i 0.662254 + 0.215179i
\(162\) 6.30746 11.0551i 0.495561 0.868573i
\(163\) −13.4419 + 4.36753i −1.05285 + 0.342091i −0.783786 0.621031i \(-0.786714\pi\)
−0.269063 + 0.963123i \(0.586714\pi\)
\(164\) −10.0819 + 12.3291i −0.787260 + 0.962737i
\(165\) −1.96523 0.0532008i −0.152993 0.00414168i
\(166\) 10.6152 13.7657i 0.823896 1.06842i
\(167\) −4.88039 + 3.54581i −0.377656 + 0.274383i −0.760378 0.649480i \(-0.774986\pi\)
0.382723 + 0.923863i \(0.374986\pi\)
\(168\) −12.6902 7.30557i −0.979074 0.563637i
\(169\) 2.19794 1.59690i 0.169072 0.122838i
\(170\) 3.35432 5.33271i 0.257264 0.409000i
\(171\) 16.4168 + 10.2722i 1.25542 + 0.785537i
\(172\) 7.20058 + 11.2048i 0.549039 + 0.854361i
\(173\) 7.94663 + 2.58202i 0.604171 + 0.196307i 0.595100 0.803652i \(-0.297112\pi\)
0.00907135 + 0.999959i \(0.497112\pi\)
\(174\) −3.43865 + 22.5919i −0.260683 + 1.71269i
\(175\) −2.83458 14.6735i −0.214274 1.10922i
\(176\) −1.49584 1.37298i −0.112753 0.103493i
\(177\) 2.71965 + 4.90991i 0.204422 + 0.369051i
\(178\) 1.25534 + 0.0358753i 0.0940914 + 0.00268897i
\(179\) 1.06871 + 0.776461i 0.0798790 + 0.0580355i 0.627008 0.779013i \(-0.284279\pi\)
−0.547129 + 0.837048i \(0.684279\pi\)
\(180\) 11.6374 + 6.67615i 0.867400 + 0.497611i
\(181\) −6.20779 + 4.51023i −0.461422 + 0.335242i −0.794089 0.607802i \(-0.792051\pi\)
0.332667 + 0.943044i \(0.392051\pi\)
\(182\) −11.1894 + 7.65092i −0.829411 + 0.567124i
\(183\) −2.29186 + 18.6188i −0.169419 + 1.37634i
\(184\) −4.31735 7.16003i −0.318279 0.527844i
\(185\) 10.3186 4.47954i 0.758639 0.329343i
\(186\) 16.8270 + 8.44632i 1.23381 + 0.619314i
\(187\) −0.961765 + 0.312496i −0.0703312 + 0.0228520i
\(188\) −4.90158 0.280386i −0.357484 0.0204493i
\(189\) −8.44695 13.0332i −0.614426 0.948027i
\(190\) −10.8687 + 17.2792i −0.788500 + 1.25356i
\(191\) 0.848076 + 2.61011i 0.0613646 + 0.188861i 0.977039 0.213060i \(-0.0683428\pi\)
−0.915675 + 0.401920i \(0.868343\pi\)
\(192\) 4.54794 + 13.0888i 0.328220 + 0.944601i
\(193\) −17.1604 −1.23523 −0.617615 0.786481i \(-0.711901\pi\)
−0.617615 + 0.786481i \(0.711901\pi\)
\(194\) 6.65997 + 2.37635i 0.478158 + 0.170612i
\(195\) 10.2416 7.02552i 0.733415 0.503108i
\(196\) −3.25386 + 2.09103i −0.232419 + 0.149360i
\(197\) −0.629999 + 0.867119i −0.0448856 + 0.0617797i −0.830870 0.556467i \(-0.812157\pi\)
0.785984 + 0.618246i \(0.212157\pi\)
\(198\) −0.748148 2.01946i −0.0531686 0.143517i
\(199\) 9.23149i 0.654403i 0.944955 + 0.327202i \(0.106106\pi\)
−0.944955 + 0.327202i \(0.893894\pi\)
\(200\) −7.06623 + 12.2502i −0.499658 + 0.866223i
\(201\) −5.03132 4.69464i −0.354882 0.331134i
\(202\) 0.964919 + 3.28634i 0.0678914 + 0.231226i
\(203\) 22.5595 + 16.3904i 1.58336 + 1.15038i
\(204\) 6.79021 + 1.23294i 0.475410 + 0.0863228i
\(205\) −7.09074 16.3335i −0.495239 1.14078i
\(206\) 6.10610 17.1130i 0.425432 1.19232i
\(207\) −0.613223 8.84690i −0.0426220 0.614902i
\(208\) 12.7433 + 1.46270i 0.883589 + 0.101420i
\(209\) 3.11633 1.01256i 0.215561 0.0700401i
\(210\) 13.7592 8.87140i 0.949475 0.612185i
\(211\) −13.6811 4.44526i −0.941847 0.306025i −0.202449 0.979293i \(-0.564890\pi\)
−0.739398 + 0.673268i \(0.764890\pi\)
\(212\) −1.14191 + 19.9623i −0.0784267 + 1.37102i
\(213\) 10.7099 + 4.99808i 0.733830 + 0.342462i
\(214\) 13.8116 4.05530i 0.944143 0.277214i
\(215\) −14.8234 + 1.41865i −1.01095 + 0.0967514i
\(216\) −2.03608 + 14.5552i −0.138538 + 0.990357i
\(217\) 18.5867 13.5041i 1.26175 0.916715i
\(218\) 7.32225 + 10.7087i 0.495926 + 0.725285i
\(219\) −1.27039 + 10.3205i −0.0858451 + 0.697398i
\(220\) 2.13055 0.783588i 0.143642 0.0528295i
\(221\) 3.75508 5.16843i 0.252594 0.347666i
\(222\) 8.76584 + 8.66072i 0.588324 + 0.581270i
\(223\) −14.1688 4.60371i −0.948811 0.308287i −0.206579 0.978430i \(-0.566233\pi\)
−0.742232 + 0.670143i \(0.766233\pi\)
\(224\) 16.7359 + 2.40716i 1.11822 + 0.160835i
\(225\) −12.5945 + 8.14732i −0.839633 + 0.543155i
\(226\) 0.0273631 0.0187100i 0.00182016 0.00124457i
\(227\) 1.61850 4.98124i 0.107424 0.330617i −0.882868 0.469622i \(-0.844390\pi\)
0.990292 + 0.139005i \(0.0443903\pi\)
\(228\) −22.0018 3.99498i −1.45710 0.264574i
\(229\) 21.1540 + 15.3693i 1.39790 + 1.01563i 0.994946 + 0.100409i \(0.0320150\pi\)
0.402950 + 0.915222i \(0.367985\pi\)
\(230\) 9.32695 0.624366i 0.615001 0.0411695i
\(231\) −2.60821 0.321054i −0.171607 0.0211238i
\(232\) −5.97583 25.7017i −0.392332 1.68740i
\(233\) −1.58640 2.18350i −0.103929 0.143046i 0.753885 0.657007i \(-0.228178\pi\)
−0.857814 + 0.513961i \(0.828178\pi\)
\(234\) 11.3225 + 7.54313i 0.740174 + 0.493110i
\(235\) 2.78867 4.72794i 0.181912 0.308417i
\(236\) −5.01722 4.10274i −0.326593 0.267065i
\(237\) −5.57894 + 11.9546i −0.362391 + 0.776533i
\(238\) 5.14244 6.66869i 0.333335 0.432267i
\(239\) 0.294092 0.905123i 0.0190232 0.0585475i −0.941094 0.338144i \(-0.890201\pi\)
0.960118 + 0.279597i \(0.0902008\pi\)
\(240\) −15.3374 2.18245i −0.990027 0.140876i
\(241\) 7.33014 + 22.5599i 0.472176 + 1.45321i 0.849729 + 0.527220i \(0.176766\pi\)
−0.377552 + 0.925988i \(0.623234\pi\)
\(242\) 14.3084 + 5.10540i 0.919779 + 0.328188i
\(243\) −8.96060 + 12.7557i −0.574823 + 0.818278i
\(244\) −5.50629 20.9499i −0.352504 1.34118i
\(245\) −0.411974 4.30469i −0.0263201 0.275016i
\(246\) 13.7092 13.8756i 0.874066 0.884675i
\(247\) −12.1673 + 16.7468i −0.774186 + 1.06558i
\(248\) −21.6607 1.86113i −1.37546 0.118182i
\(249\) −14.5245 + 15.5661i −0.920451 + 0.986461i
\(250\) −8.55665 13.2960i −0.541170 0.840913i
\(251\) −12.6221 −0.796697 −0.398349 0.917234i \(-0.630417\pi\)
−0.398349 + 0.917234i \(0.630417\pi\)
\(252\) 14.6348 + 10.3654i 0.921909 + 0.652961i
\(253\) −1.21393 0.881973i −0.0763193 0.0554492i
\(254\) 5.77832 + 0.165134i 0.362564 + 0.0103615i
\(255\) −4.70251 + 6.11722i −0.294482 + 0.383075i
\(256\) −10.4767 12.0929i −0.654797 0.755805i
\(257\) 11.0570i 0.689715i 0.938655 + 0.344858i \(0.112073\pi\)
−0.938655 + 0.344858i \(0.887927\pi\)
\(258\) −7.49322 14.4895i −0.466508 0.902080i
\(259\) 14.3007 4.64657i 0.888600 0.288724i
\(260\) −7.97932 + 11.9161i −0.494857 + 0.739008i
\(261\) 6.78744 27.1525i 0.420132 1.68070i
\(262\) −9.41126 + 12.2045i −0.581429 + 0.753995i
\(263\) −2.15888 6.64435i −0.133122 0.409708i 0.862171 0.506617i \(-0.169104\pi\)
−0.995293 + 0.0969093i \(0.969104\pi\)
\(264\) 1.66627 + 1.84593i 0.102552 + 0.113609i
\(265\) −19.2552 11.3572i −1.18284 0.697668i
\(266\) −16.6626 + 21.6080i −1.02165 + 1.32487i
\(267\) −1.52657 0.187911i −0.0934247 0.0115000i
\(268\) 7.40450 + 2.88301i 0.452302 + 0.176108i
\(269\) −3.02101 4.15807i −0.184194 0.253522i 0.706927 0.707286i \(-0.250081\pi\)
−0.891122 + 0.453764i \(0.850081\pi\)
\(270\) −13.4233 9.47703i −0.816918 0.576754i
\(271\) −4.40658 + 6.06514i −0.267681 + 0.368431i −0.921605 0.388129i \(-0.873122\pi\)
0.653924 + 0.756560i \(0.273122\pi\)
\(272\) −7.81021 + 1.58221i −0.473564 + 0.0959356i
\(273\) 14.5224 8.04411i 0.878935 0.486852i
\(274\) −23.7811 + 16.2607i −1.43667 + 0.982346i
\(275\) −0.312230 + 2.51875i −0.0188282 + 0.151886i
\(276\) 4.44207 + 9.22639i 0.267381 + 0.555363i
\(277\) 5.01166 15.4243i 0.301121 0.926756i −0.679975 0.733235i \(-0.738009\pi\)
0.981096 0.193520i \(-0.0619906\pi\)
\(278\) 1.78476 + 0.0510053i 0.107043 + 0.00305909i
\(279\) −19.5480 12.2315i −1.17031 0.732279i
\(280\) −10.9625 + 15.4006i −0.655136 + 0.920364i
\(281\) −10.3360 14.2262i −0.616591 0.848665i 0.380508 0.924778i \(-0.375749\pi\)
−0.997099 + 0.0761127i \(0.975749\pi\)
\(282\) 5.94453 + 0.904800i 0.353992 + 0.0538801i
\(283\) 2.60961 + 3.59182i 0.155125 + 0.213512i 0.879505 0.475889i \(-0.157874\pi\)
−0.724380 + 0.689401i \(0.757874\pi\)
\(284\) −13.6248 0.779385i −0.808485 0.0462480i
\(285\) 15.2372 19.8211i 0.902571 1.17410i
\(286\) 2.20876 0.648525i 0.130607 0.0383481i
\(287\) −7.35512 22.6367i −0.434159 1.33620i
\(288\) −4.04237 16.4821i −0.238199 0.971216i
\(289\) 4.02682 12.3933i 0.236872 0.729017i
\(290\) 28.6043 + 7.22217i 1.67970 + 0.424100i
\(291\) −7.84791 3.66245i −0.460053 0.214697i
\(292\) −3.05217 11.6127i −0.178615 0.679580i
\(293\) 18.3468i 1.07183i −0.844271 0.535916i \(-0.819966\pi\)
0.844271 0.535916i \(-0.180034\pi\)
\(294\) 4.20773 2.17602i 0.245400 0.126908i
\(295\) 6.64680 2.88553i 0.386992 0.168002i
\(296\) −13.1065 5.53933i −0.761799 0.321967i
\(297\) 0.680333 + 2.54834i 0.0394769 + 0.147870i
\(298\) 6.59291 + 22.4543i 0.381917 + 1.30074i
\(299\) 9.47926 0.548200
\(300\) 10.0231 14.1258i 0.578681 0.815554i
\(301\) −19.9051 −1.14731
\(302\) −6.96965 23.7374i −0.401058 1.36593i
\(303\) −0.799159 4.11801i −0.0459105 0.236573i
\(304\) 25.3068 5.12671i 1.45145 0.294037i
\(305\) 23.6411 + 5.25550i 1.35369 + 0.300929i
\(306\) −8.13804 2.28319i −0.465221 0.130521i
\(307\) 8.77470i 0.500798i 0.968143 + 0.250399i \(0.0805619\pi\)
−0.968143 + 0.250399i \(0.919438\pi\)
\(308\) 2.93475 0.771346i 0.167223 0.0439515i
\(309\) −9.41078 + 20.1655i −0.535360 + 1.14717i
\(310\) 12.9417 20.5748i 0.735041 1.16857i
\(311\) −6.60385 + 20.3245i −0.374470 + 1.15250i 0.569366 + 0.822084i \(0.307189\pi\)
−0.943836 + 0.330415i \(0.892811\pi\)
\(312\) −15.3705 3.24702i −0.870186 0.183827i
\(313\) −1.61770 4.97877i −0.0914378 0.281417i 0.894871 0.446325i \(-0.147267\pi\)
−0.986309 + 0.164908i \(0.947267\pi\)
\(314\) −24.4283 + 7.17253i −1.37857 + 0.404769i
\(315\) −17.7961 + 9.23718i −1.00270 + 0.520456i
\(316\) 0.869963 15.2083i 0.0489393 0.855533i
\(317\) −15.1706 20.8805i −0.852064 1.17277i −0.983404 0.181428i \(-0.941928\pi\)
0.131340 0.991337i \(-0.458072\pi\)
\(318\) 3.68492 24.2099i 0.206640 1.35762i
\(319\) −2.78352 3.83119i −0.155847 0.214506i
\(320\) 17.3837 4.21999i 0.971776 0.235904i
\(321\) −17.3069 + 3.35865i −0.965977 + 0.187462i
\(322\) 12.4902 + 0.356948i 0.696051 + 0.0198919i
\(323\) 3.97402 12.2308i 0.221120 0.680538i
\(324\) 4.15426 17.5141i 0.230792 0.973003i
\(325\) −7.75702 14.0324i −0.430282 0.778378i
\(326\) −16.4996 + 11.2819i −0.913830 + 0.624847i
\(327\) −7.69856 13.8985i −0.425731 0.768591i
\(328\) −8.76830 + 20.7465i −0.484148 + 1.14553i
\(329\) 4.31275 5.93599i 0.237770 0.327262i
\(330\) −2.68788 + 0.710787i −0.147963 + 0.0391276i
\(331\) 19.6816 + 27.0895i 1.08180 + 1.48897i 0.857523 + 0.514446i \(0.172003\pi\)
0.224279 + 0.974525i \(0.427997\pi\)
\(332\) 8.91959 22.9083i 0.489526 1.25726i
\(333\) −9.69399 11.5671i −0.531227 0.633875i
\(334\) −5.20965 + 6.75584i −0.285059 + 0.369663i
\(335\) −6.65703 + 5.88276i −0.363713 + 0.321410i
\(336\) −20.1305 4.85718i −1.09821 0.264981i
\(337\) −3.27098 10.0670i −0.178182 0.548386i 0.821583 0.570089i \(-0.193091\pi\)
−0.999764 + 0.0217027i \(0.993091\pi\)
\(338\) 2.34623 3.04257i 0.127618 0.165494i
\(339\) −0.0355138 + 0.0196715i −0.00192885 + 0.00106841i
\(340\) 2.42694 8.57254i 0.131620 0.464911i
\(341\) −3.71071 + 1.20568i −0.200946 + 0.0652915i
\(342\) 26.3690 + 7.39803i 1.42587 + 0.400040i
\(343\) 15.1424i 0.817611i
\(344\) 14.2349 + 12.3354i 0.767494 + 0.665080i
\(345\) −11.4445 0.309815i −0.616152 0.0166799i
\(346\) 11.8118 + 0.337560i 0.635004 + 0.0181473i
\(347\) 16.2065 + 11.7747i 0.870010 + 0.632100i 0.930590 0.366064i \(-0.119295\pi\)
−0.0605794 + 0.998163i \(0.519295\pi\)
\(348\) 4.33495 + 32.0257i 0.232378 + 1.71676i
\(349\) 3.03093 0.162242 0.0811208 0.996704i \(-0.474150\pi\)
0.0811208 + 0.996704i \(0.474150\pi\)
\(350\) −9.69251 18.7817i −0.518086 1.00392i
\(351\) −12.9398 10.4980i −0.690675 0.560342i
\(352\) −2.57677 1.26708i −0.137342 0.0675356i
\(353\) 6.60252 9.08758i 0.351417 0.483683i −0.596316 0.802750i \(-0.703369\pi\)
0.947732 + 0.319067i \(0.103369\pi\)
\(354\) 5.64657 + 5.57886i 0.300112 + 0.296513i
\(355\) 7.75161 13.1422i 0.411413 0.697514i
\(356\) 1.71770 0.451465i 0.0910379 0.0239276i
\(357\) −7.03628 + 7.54088i −0.372399 + 0.399106i
\(358\) 1.75952 + 0.627816i 0.0929934 + 0.0331811i
\(359\) 10.7390 + 33.0513i 0.566784 + 1.74438i 0.662590 + 0.748982i \(0.269457\pi\)
−0.0958057 + 0.995400i \(0.530543\pi\)
\(360\) 18.4510 + 4.42256i 0.972455 + 0.233089i
\(361\) −7.00537 + 21.5603i −0.368704 + 1.13475i
\(362\) −6.62661 + 8.59335i −0.348287 + 0.451657i
\(363\) −16.8606 7.86848i −0.884953 0.412988i
\(364\) −12.1350 + 14.8398i −0.636045 + 0.777816i
\(365\) 13.1044 + 2.91316i 0.685917 + 0.152482i
\(366\) 4.30814 + 26.1776i 0.225190 + 1.36832i
\(367\) −15.5056 21.3417i −0.809388 1.11403i −0.991418 0.130734i \(-0.958267\pi\)
0.182030 0.983293i \(-0.441733\pi\)
\(368\) −8.71101 7.99557i −0.454093 0.416798i
\(369\) −18.3098 + 15.3448i −0.953170 + 0.798817i
\(370\) 12.2169 10.1895i 0.635128 0.529729i
\(371\) −24.1751 17.5643i −1.25511 0.911891i
\(372\) 26.1982 + 4.75695i 1.35831 + 0.246636i
\(373\) 3.23200 9.94707i 0.167347 0.515040i −0.831855 0.554993i \(-0.812721\pi\)
0.999202 + 0.0399532i \(0.0127209\pi\)
\(374\) −1.18055 + 0.807219i −0.0610446 + 0.0417403i
\(375\) 8.90658 + 17.1951i 0.459934 + 0.887953i
\(376\) −6.76282 + 1.57240i −0.348766 + 0.0810903i
\(377\) 28.4525 + 9.24478i 1.46538 + 0.476130i
\(378\) −16.6546 14.3198i −0.856619 0.736530i
\(379\) −18.8604 + 25.9591i −0.968794 + 1.33343i −0.0261403 + 0.999658i \(0.508322\pi\)
−0.942654 + 0.333772i \(0.891678\pi\)
\(380\) −7.86384 + 27.7769i −0.403406 + 1.42493i
\(381\) −7.02682 0.864956i −0.359995 0.0443130i
\(382\) 2.19069 + 3.20385i 0.112085 + 0.163923i
\(383\) −15.2162 + 11.0552i −0.777510 + 0.564894i −0.904231 0.427044i \(-0.859555\pi\)
0.126721 + 0.991938i \(0.459555\pi\)
\(384\) 11.3860 + 15.9486i 0.581041 + 0.813874i
\(385\) −0.736213 + 3.31175i −0.0375209 + 0.168782i
\(386\) −23.2854 + 6.83696i −1.18520 + 0.347992i
\(387\) 7.47282 + 18.5284i 0.379865 + 0.941849i
\(388\) 9.98390 + 0.571112i 0.506856 + 0.0289938i
\(389\) −7.28604 2.36738i −0.369417 0.120031i 0.118425 0.992963i \(-0.462216\pi\)
−0.487841 + 0.872932i \(0.662216\pi\)
\(390\) 11.0981 13.6136i 0.561972 0.689349i
\(391\) −5.60084 + 1.81982i −0.283247 + 0.0920325i
\(392\) −3.58217 + 4.13378i −0.180927 + 0.208787i
\(393\) 12.8772 13.8007i 0.649569 0.696153i
\(394\) −0.509392 + 1.42762i −0.0256628 + 0.0719226i
\(395\) 14.6695 + 8.65248i 0.738104 + 0.435354i
\(396\) −1.81977 2.44219i −0.0914469 0.122725i
\(397\) 8.39731 + 6.10100i 0.421449 + 0.306201i 0.778221 0.627991i \(-0.216123\pi\)
−0.356772 + 0.934192i \(0.616123\pi\)
\(398\) 3.67797 + 12.5265i 0.184360 + 0.627897i
\(399\) 22.7991 24.4341i 1.14138 1.22324i
\(400\) −4.70771 + 19.4380i −0.235386 + 0.971902i
\(401\) 14.7168i 0.734920i 0.930039 + 0.367460i \(0.119773\pi\)
−0.930039 + 0.367460i \(0.880227\pi\)
\(402\) −8.69757 4.36576i −0.433795 0.217744i
\(403\) 14.4880 19.9410i 0.721697 0.993331i
\(404\) 2.61866 + 4.07490i 0.130283 + 0.202734i
\(405\) 15.2794 + 13.0974i 0.759237 + 0.650814i
\(406\) 37.1418 + 13.2526i 1.84332 + 0.657717i
\(407\) −2.55361 −0.126578
\(408\) 9.70508 1.03232i 0.480473 0.0511073i
\(409\) 5.80522 + 17.8666i 0.287050 + 0.883448i 0.985777 + 0.168060i \(0.0537501\pi\)
−0.698727 + 0.715388i \(0.746250\pi\)
\(410\) −16.1292 19.3384i −0.796563 0.955054i
\(411\) 30.8649 17.0964i 1.52245 0.843303i
\(412\) 1.46749 25.6539i 0.0722980 1.26388i
\(413\) 9.21186 2.99312i 0.453286 0.147282i
\(414\) −4.35684 11.7603i −0.214127 0.577988i
\(415\) 18.2003 + 20.5958i 0.893419 + 1.01101i
\(416\) 17.8746 3.09234i 0.876372 0.151614i
\(417\) −2.17038 0.267160i −0.106284 0.0130829i
\(418\) 3.82523 2.61557i 0.187098 0.127932i
\(419\) −10.5612 + 7.67319i −0.515951 + 0.374860i −0.815076 0.579354i \(-0.803305\pi\)
0.299126 + 0.954214i \(0.403305\pi\)
\(420\) 15.1358 17.5198i 0.738551 0.854877i
\(421\) −11.6637 8.47418i −0.568454 0.413006i 0.266089 0.963948i \(-0.414268\pi\)
−0.834543 + 0.550942i \(0.814268\pi\)
\(422\) −20.3354 0.581151i −0.989912 0.0282900i
\(423\) −7.14454 1.78596i −0.347380 0.0868361i
\(424\) 6.40381 + 27.5425i 0.310996 + 1.33758i
\(425\) 7.27719 + 6.80189i 0.352995 + 0.329940i
\(426\) 16.5239 + 2.51506i 0.800586 + 0.121855i
\(427\) 30.7882 + 10.0037i 1.48995 + 0.484113i
\(428\) 17.1257 11.0055i 0.827804 0.531972i
\(429\) −2.76773 + 0.537117i −0.133627 + 0.0259323i
\(430\) −19.5492 + 7.83090i −0.942744 + 0.377639i
\(431\) 25.9758 18.8725i 1.25121 0.909058i 0.252919 0.967488i \(-0.418609\pi\)
0.998292 + 0.0584300i \(0.0186094\pi\)
\(432\) 3.03621 + 20.5616i 0.146080 + 0.989273i
\(433\) −8.00368 + 5.81502i −0.384632 + 0.279452i −0.763252 0.646100i \(-0.776399\pi\)
0.378620 + 0.925552i \(0.376399\pi\)
\(434\) 19.8407 25.7293i 0.952385 1.23505i
\(435\) −34.0491 12.0913i −1.63253 0.579735i
\(436\) 14.2023 + 11.6137i 0.680168 + 0.556194i
\(437\) 18.1480 5.89663i 0.868135 0.282074i
\(438\) 2.38803 + 14.5104i 0.114104 + 0.693335i
\(439\) −28.1130 9.13448i −1.34176 0.435965i −0.451848 0.892095i \(-0.649235\pi\)
−0.889913 + 0.456130i \(0.849235\pi\)
\(440\) 2.57882 1.91212i 0.122941 0.0911568i
\(441\) −5.38060 + 2.17009i −0.256219 + 0.103338i
\(442\) 3.03621 8.50929i 0.144418 0.404745i
\(443\) −20.7980 −0.988141 −0.494070 0.869422i \(-0.664492\pi\)
−0.494070 + 0.869422i \(0.664492\pi\)
\(444\) 15.3452 + 8.25957i 0.728252 + 0.391982i
\(445\) −0.430902 + 1.93835i −0.0204267 + 0.0918867i
\(446\) −21.0603 0.601866i −0.997232 0.0284992i
\(447\) −5.46034 28.1367i −0.258265 1.33082i
\(448\) 23.6685 3.40149i 1.11823 0.160705i
\(449\) 17.2012i 0.811775i 0.913923 + 0.405887i \(0.133037\pi\)
−0.913923 + 0.405887i \(0.866963\pi\)
\(450\) −13.8439 + 16.0732i −0.652605 + 0.757698i
\(451\) 4.04216i 0.190338i
\(452\) 0.0296755 0.0362900i 0.00139582 0.00170694i
\(453\) 5.77236 + 29.7445i 0.271209 + 1.39752i
\(454\) 0.211595 7.40405i 0.00993064 0.347489i
\(455\) −8.53473 19.6597i −0.400114 0.921661i
\(456\) −31.4466 + 3.34494i −1.47262 + 0.156641i
\(457\) 40.7418 1.90582 0.952911 0.303251i \(-0.0980722\pi\)
0.952911 + 0.303251i \(0.0980722\pi\)
\(458\) 34.8279 + 12.4270i 1.62740 + 0.580675i
\(459\) 9.66090 + 3.71860i 0.450932 + 0.173569i
\(460\) 12.4073 4.56323i 0.578492 0.212761i
\(461\) −23.8627 7.75346i −1.11140 0.361115i −0.304918 0.952379i \(-0.598629\pi\)
−0.806478 + 0.591264i \(0.798629\pi\)
\(462\) −3.66707 + 0.603503i −0.170608 + 0.0280775i
\(463\) 32.0961 10.4287i 1.49163 0.484661i 0.554068 0.832471i \(-0.313075\pi\)
0.937565 + 0.347811i \(0.113075\pi\)
\(464\) −18.3488 32.4947i −0.851820 1.50853i
\(465\) −18.1434 + 23.6016i −0.841378 + 1.09450i
\(466\) −3.02258 2.33081i −0.140018 0.107973i
\(467\) 0.168014 0.122069i 0.00777476 0.00564869i −0.583891 0.811832i \(-0.698470\pi\)
0.591666 + 0.806183i \(0.298470\pi\)
\(468\) 18.3692 + 5.72446i 0.849114 + 0.264613i
\(469\) −9.60716 + 6.98001i −0.443618 + 0.322307i
\(470\) 1.90034 7.52654i 0.0876563 0.347173i
\(471\) 30.6104 5.94038i 1.41045 0.273718i
\(472\) −8.44262 3.56820i −0.388603 0.164240i
\(473\) 3.21496 + 1.04460i 0.147824 + 0.0480309i
\(474\) −2.80735 + 18.4443i −0.128946 + 0.847174i
\(475\) −23.5797 22.0396i −1.08191 1.01125i
\(476\) 4.32103 11.0978i 0.198054 0.508666i
\(477\) −7.27354 + 29.0971i −0.333033 + 1.33226i
\(478\) 0.0384481 1.34536i 0.00175858 0.0615354i
\(479\) −23.2172 16.8683i −1.06082 0.770732i −0.0865819 0.996245i \(-0.527594\pi\)
−0.974240 + 0.225512i \(0.927594\pi\)
\(480\) −21.6814 + 3.14924i −0.989615 + 0.143743i
\(481\) 13.0512 9.48226i 0.595084 0.432354i
\(482\) 18.9347 + 27.6918i 0.862453 + 1.26133i
\(483\) −15.1889 1.86966i −0.691119 0.0850723i
\(484\) 21.4496 + 1.22699i 0.974982 + 0.0557722i
\(485\) −5.68016 + 9.63022i −0.257923 + 0.437286i
\(486\) −7.07685 + 20.8787i −0.321013 + 0.947075i
\(487\) 24.4182 7.93394i 1.10649 0.359521i 0.301895 0.953341i \(-0.402381\pi\)
0.804598 + 0.593820i \(0.202381\pi\)
\(488\) −15.8184 26.2338i −0.716067 1.18755i
\(489\) 21.4144 11.8617i 0.968395 0.536405i
\(490\) −2.27408 5.67703i −0.102732 0.256462i
\(491\) 2.30527 + 7.09489i 0.104035 + 0.320188i 0.989503 0.144513i \(-0.0461617\pi\)
−0.885467 + 0.464701i \(0.846162\pi\)
\(492\) 13.0742 24.2902i 0.589431 1.09509i
\(493\) −18.5860 −0.837073
\(494\) −9.83798 + 27.5720i −0.442632 + 1.24052i
\(495\) 3.35909 0.558014i 0.150980 0.0250808i
\(496\) −30.1336 + 6.10454i −1.35304 + 0.274102i
\(497\) 11.9881 16.5002i 0.537739 0.740135i
\(498\) −13.5070 + 26.9089i −0.605261 + 1.20582i
\(499\) 4.53248i 0.202902i −0.994841 0.101451i \(-0.967652\pi\)
0.994841 0.101451i \(-0.0323485\pi\)
\(500\) −16.9081 14.6327i −0.756154 0.654393i
\(501\) 7.12824 7.63944i 0.318466 0.341305i
\(502\) −17.1273 + 5.02883i −0.764428 + 0.224447i
\(503\) 17.7509 + 12.8968i 0.791475 + 0.575040i 0.908401 0.418100i \(-0.137304\pi\)
−0.116926 + 0.993141i \(0.537304\pi\)
\(504\) 23.9882 + 8.23443i 1.06852 + 0.366791i
\(505\) −5.39088 + 0.515926i −0.239891 + 0.0229584i
\(506\) −1.99862 0.713128i −0.0888493 0.0317024i
\(507\) −3.21029 + 3.44051i −0.142574 + 0.152798i
\(508\) 7.90658 2.07810i 0.350798 0.0922006i
\(509\) 32.9222 10.6971i 1.45925 0.474139i 0.531409 0.847115i \(-0.321663\pi\)
0.927841 + 0.372976i \(0.121663\pi\)
\(510\) −3.94379 + 10.1742i −0.174634 + 0.450521i
\(511\) 17.0661 + 5.54512i 0.754960 + 0.245301i
\(512\) −19.0342 12.2351i −0.841202 0.540721i
\(513\) −31.3035 12.0491i −1.38208 0.531980i
\(514\) 4.40527 + 15.0036i 0.194308 + 0.661779i
\(515\) 24.7452 + 14.5954i 1.09040 + 0.643148i
\(516\) −15.9407 16.6759i −0.701748 0.734116i
\(517\) −1.00809 + 0.732420i −0.0443357 + 0.0322118i
\(518\) 17.5538 12.0027i 0.771268 0.527368i
\(519\) −14.3639 1.76810i −0.630505 0.0776110i
\(520\) −6.07982 + 19.3485i −0.266618 + 0.848487i
\(521\) 7.91587 10.8953i 0.346801 0.477330i −0.599612 0.800291i \(-0.704678\pi\)
0.946412 + 0.322961i \(0.104678\pi\)
\(522\) −1.60789 39.5483i −0.0703752 1.73098i
\(523\) −27.3658 8.89170i −1.19662 0.388807i −0.358107 0.933681i \(-0.616578\pi\)
−0.838518 + 0.544874i \(0.816578\pi\)
\(524\) −7.90799 + 20.3102i −0.345462 + 0.887257i
\(525\) 9.66160 + 24.0145i 0.421667 + 1.04808i
\(526\) −5.57667 8.15580i −0.243154 0.355610i
\(527\) −4.73199 + 14.5636i −0.206129 + 0.634399i
\(528\) 2.99646 + 1.84094i 0.130404 + 0.0801165i
\(529\) 11.5381 + 8.38289i 0.501655 + 0.364473i
\(530\) −30.6528 7.73941i −1.33147 0.336178i
\(531\) −6.24444 7.45105i −0.270986 0.323348i
\(532\) −14.0011 + 35.9593i −0.607024 + 1.55903i
\(533\) −15.0096 20.6590i −0.650139 0.894839i
\(534\) −2.14632 + 0.353227i −0.0928804 + 0.0152856i
\(535\) 2.16830 + 22.6564i 0.0937439 + 0.979523i
\(536\) 11.1960 + 0.961987i 0.483595 + 0.0415515i
\(537\) −2.07337 0.967595i −0.0894723 0.0417548i
\(538\) −5.75595 4.43860i −0.248157 0.191361i
\(539\) −0.303351 + 0.933618i −0.0130662 + 0.0402138i
\(540\) −21.9904 7.51162i −0.946314 0.323249i
\(541\) 5.41300 + 16.6595i 0.232723 + 0.716248i 0.997415 + 0.0718523i \(0.0228910\pi\)
−0.764692 + 0.644396i \(0.777109\pi\)
\(542\) −3.56299 + 9.98564i −0.153043 + 0.428920i
\(543\) 9.06704 9.71727i 0.389104 0.417008i
\(544\) −9.96755 + 5.25866i −0.427355 + 0.225463i
\(545\) −18.8152 + 8.16810i −0.805954 + 0.349883i
\(546\) 16.5010 16.7013i 0.706177 0.714748i
\(547\) 14.3672 19.7747i 0.614296 0.845506i −0.382626 0.923903i \(-0.624980\pi\)
0.996922 + 0.0783972i \(0.0249802\pi\)
\(548\) −25.7908 + 31.5395i −1.10173 + 1.34730i
\(549\) −2.24680 32.4144i −0.0958913 1.38341i
\(550\) 0.579833 + 3.54217i 0.0247242 + 0.151039i
\(551\) 60.2228 2.56558
\(552\) 9.70352 + 10.7498i 0.413009 + 0.457541i
\(553\) 18.4178 + 13.3813i 0.783205 + 0.569032i
\(554\) 0.655198 22.9264i 0.0278367 0.974051i
\(555\) −16.0669 + 11.0216i −0.682002 + 0.467839i
\(556\) 2.44212 0.641865i 0.103569 0.0272211i
\(557\) 26.5626i 1.12549i 0.826629 + 0.562747i \(0.190256\pi\)
−0.826629 + 0.562747i \(0.809744\pi\)
\(558\) −31.3985 8.80907i −1.32920 0.372918i
\(559\) −20.3102 + 6.59917i −0.859028 + 0.279115i
\(560\) −8.73955 + 25.2653i −0.369314 + 1.06765i
\(561\) 1.53220 0.848704i 0.0646896 0.0358323i
\(562\) −19.6931 15.1860i −0.830705 0.640583i
\(563\) −10.5948 32.6074i −0.446517 1.37424i −0.880811 0.473468i \(-0.843002\pi\)
0.434294 0.900771i \(-0.356998\pi\)
\(564\) 8.42681 1.14064i 0.354833 0.0480296i
\(565\) 0.0208713 + 0.0480769i 0.000878061 + 0.00202261i
\(566\) 4.97210 + 3.83415i 0.208993 + 0.161161i
\(567\) 18.6632 + 19.3735i 0.783781 + 0.813609i
\(568\) −18.7985 + 4.37077i −0.788767 + 0.183394i
\(569\) −25.8136 35.5294i −1.08216 1.48947i −0.857118 0.515120i \(-0.827748\pi\)
−0.225044 0.974349i \(-0.572252\pi\)
\(570\) 12.7787 32.9666i 0.535243 1.38082i
\(571\) −15.6298 + 21.5126i −0.654088 + 0.900274i −0.999268 0.0382621i \(-0.987818\pi\)
0.345180 + 0.938536i \(0.387818\pi\)
\(572\) 2.73875 1.76001i 0.114513 0.0735897i
\(573\) −2.30327 4.15820i −0.0962206 0.173711i
\(574\) −18.9992 27.7861i −0.793013 1.15977i
\(575\) −1.81827 + 14.6679i −0.0758273 + 0.611695i
\(576\) −12.0519 20.7545i −0.502164 0.864772i
\(577\) −1.68893 + 5.19800i −0.0703111 + 0.216395i −0.980037 0.198813i \(-0.936291\pi\)
0.909726 + 0.415208i \(0.136291\pi\)
\(578\) 0.526446 18.4212i 0.0218973 0.766221i
\(579\) 29.1783 5.66246i 1.21261 0.235324i
\(580\) 41.6915 1.59639i 1.73114 0.0662866i
\(581\) 21.5950 + 29.7230i 0.895914 + 1.23312i
\(582\) −12.1083 1.84297i −0.501904 0.0763934i
\(583\) 2.98288 + 4.10558i 0.123538 + 0.170036i
\(584\) −8.76826 14.5416i −0.362833 0.601735i
\(585\) −15.0958 + 15.3251i −0.624136 + 0.633616i
\(586\) −7.30966 24.8954i −0.301959 1.02842i
\(587\) −0.188624 0.580524i −0.00778534 0.0239608i 0.947088 0.320973i \(-0.104010\pi\)
−0.954874 + 0.297012i \(0.904010\pi\)
\(588\) 4.84265 4.62913i 0.199708 0.190902i
\(589\) 15.3327 47.1892i 0.631773 1.94440i
\(590\) 7.86962 6.56365i 0.323987 0.270221i
\(591\) 0.785079 1.68227i 0.0322938 0.0691994i
\(592\) −19.9916 2.29467i −0.821648 0.0943105i
\(593\) 13.3297i 0.547387i 0.961817 + 0.273694i \(0.0882454\pi\)
−0.961817 + 0.273694i \(0.911755\pi\)
\(594\) 1.93847 + 3.18687i 0.0795362 + 0.130759i
\(595\) 8.81702 + 9.97749i 0.361463 + 0.409037i
\(596\) 17.8923 + 27.8422i 0.732896 + 1.14046i
\(597\) −3.04615 15.6966i −0.124670 0.642418i
\(598\) 12.8627 3.77669i 0.525996 0.154440i
\(599\) 42.0107 1.71651 0.858256 0.513223i \(-0.171548\pi\)
0.858256 + 0.513223i \(0.171548\pi\)
\(600\) 7.97267 23.1611i 0.325483 0.945548i
\(601\) −7.12499 −0.290635 −0.145317 0.989385i \(-0.546420\pi\)
−0.145317 + 0.989385i \(0.546420\pi\)
\(602\) −27.0098 + 7.93049i −1.10084 + 0.323223i
\(603\) 10.1040 + 6.32223i 0.411467 + 0.257461i
\(604\) −18.9147 29.4332i −0.769627 1.19762i
\(605\) −12.2034 + 20.6898i −0.496138 + 0.841159i
\(606\) −2.72508 5.26946i −0.110699 0.214057i
\(607\) 10.0744i 0.408909i 0.978876 + 0.204454i \(0.0655420\pi\)
−0.978876 + 0.204454i \(0.934458\pi\)
\(608\) 32.2971 17.0392i 1.30982 0.691032i
\(609\) −43.7669 20.4251i −1.77352 0.827665i
\(610\) 34.1733 2.28763i 1.38363 0.0926235i
\(611\) 2.43255 7.48661i 0.0984104 0.302876i
\(612\) −11.9524 + 0.144194i −0.483148 + 0.00582868i
\(613\) 5.36954 + 16.5257i 0.216874 + 0.667468i 0.999015 + 0.0443676i \(0.0141273\pi\)
−0.782142 + 0.623101i \(0.785873\pi\)
\(614\) 3.49598 + 11.9067i 0.141086 + 0.480514i
\(615\) 17.4462 + 25.4325i 0.703499 + 1.02554i
\(616\) 3.67495 2.21592i 0.148068 0.0892818i
\(617\) 2.96741 + 4.08429i 0.119464 + 0.164427i 0.864561 0.502529i \(-0.167597\pi\)
−0.745097 + 0.666956i \(0.767597\pi\)
\(618\) −4.73556 + 31.1126i −0.190492 + 1.25153i
\(619\) 23.7563 + 32.6977i 0.954846 + 1.31423i 0.949341 + 0.314248i \(0.101752\pi\)
0.00550513 + 0.999985i \(0.498248\pi\)
\(620\) 9.36372 33.0749i 0.376056 1.32832i
\(621\) 3.96192 + 14.8403i 0.158986 + 0.595520i
\(622\) −0.863353 + 30.2101i −0.0346173 + 1.21131i
\(623\) −0.820211 + 2.52435i −0.0328610 + 0.101136i
\(624\) −22.1504 + 1.71787i −0.886728 + 0.0687699i
\(625\) 23.2013 9.31135i 0.928051 0.372454i
\(626\) −4.17873 6.11134i −0.167016 0.244258i
\(627\) −4.96467 + 2.74999i −0.198270 + 0.109824i
\(628\) −30.2899 + 19.4653i −1.20870 + 0.776749i
\(629\) −5.89093 + 8.10818i −0.234887 + 0.323294i
\(630\) −20.4678 + 19.6245i −0.815458 + 0.781857i
\(631\) −6.69397 9.21346i −0.266483 0.366782i 0.654716 0.755875i \(-0.272788\pi\)
−0.921198 + 0.389093i \(0.872788\pi\)
\(632\) −4.87874 20.9832i −0.194066 0.834667i
\(633\) 24.7292 + 3.04401i 0.982898 + 0.120988i
\(634\) −28.9046 22.2892i −1.14795 0.885218i
\(635\) −1.98345 + 8.92225i −0.0787106 + 0.354069i
\(636\) −4.64541 34.3193i −0.184202 1.36085i
\(637\) −1.91639 5.89803i −0.0759300 0.233688i
\(638\) −5.30346 4.08967i −0.209966 0.161912i
\(639\) −19.8596 4.96439i −0.785633 0.196388i
\(640\) 21.9071 12.6522i 0.865956 0.500121i
\(641\) 28.9775 9.41538i 1.14454 0.371885i 0.325459 0.945556i \(-0.394481\pi\)
0.819086 + 0.573671i \(0.194481\pi\)
\(642\) −22.1461 + 11.4528i −0.874039 + 0.452006i
\(643\) 42.3873i 1.67159i −0.549040 0.835796i \(-0.685007\pi\)
0.549040 0.835796i \(-0.314993\pi\)
\(644\) 17.0906 4.49193i 0.673462 0.177007i
\(645\) 24.7366 7.30351i 0.974001 0.287575i
\(646\) 0.519543 18.1796i 0.0204411 0.715268i
\(647\) −16.2344 11.7950i −0.638240 0.463709i 0.221005 0.975273i \(-0.429066\pi\)
−0.859245 + 0.511564i \(0.829066\pi\)
\(648\) −1.34083 25.4205i −0.0526729 0.998612i
\(649\) −1.64493 −0.0645690
\(650\) −16.1165 15.9505i −0.632141 0.625630i
\(651\) −27.1476 + 29.0945i −1.06400 + 1.14030i
\(652\) −17.8940 + 21.8825i −0.700783 + 0.856984i
\(653\) −17.7577 + 24.4414i −0.694914 + 0.956467i 0.305077 + 0.952328i \(0.401318\pi\)
−0.999991 + 0.00413964i \(0.998682\pi\)
\(654\) −15.9838 15.7922i −0.625017 0.617522i
\(655\) −16.1362 18.2600i −0.630492 0.713476i
\(656\) −3.63228 + 31.6450i −0.141817 + 1.23553i
\(657\) −1.24542 17.9675i −0.0485884 0.700979i
\(658\) 3.48712 9.77301i 0.135942 0.380992i
\(659\) 12.9115 + 39.7376i 0.502961 + 1.54796i 0.804171 + 0.594398i \(0.202610\pi\)
−0.301210 + 0.953558i \(0.597390\pi\)
\(660\) −3.36408 + 2.03538i −0.130947 + 0.0792271i
\(661\) −5.75491 + 17.7118i −0.223840 + 0.688909i 0.774567 + 0.632492i \(0.217968\pi\)
−0.998407 + 0.0564175i \(0.982032\pi\)
\(662\) 37.4995 + 28.9171i 1.45746 + 1.12389i
\(663\) −4.67943 + 10.0271i −0.181734 + 0.389420i
\(664\) 2.97623 34.6388i 0.115500 1.34425i
\(665\) −28.5691 32.3293i −1.10786 1.25368i
\(666\) −17.7626 11.8336i −0.688287 0.458542i
\(667\) −16.2099 22.3110i −0.627648 0.863884i
\(668\) −4.37750 + 11.2428i −0.169371 + 0.434998i
\(669\) 25.6107 + 3.15251i 0.990166 + 0.121883i
\(670\) −6.68936 + 10.6348i −0.258432 + 0.410857i
\(671\) −4.44776 3.23148i −0.171704 0.124750i
\(672\) −29.2508 + 1.42943i −1.12838 + 0.0551417i
\(673\) 4.33127 13.3303i 0.166958 0.513844i −0.832217 0.554450i \(-0.812929\pi\)
0.999175 + 0.0406055i \(0.0129287\pi\)
\(674\) −8.44936 12.3571i −0.325457 0.475977i
\(675\) 18.7264 18.0090i 0.720779 0.693165i
\(676\) 1.97146 5.06334i 0.0758254 0.194744i
\(677\) −11.7522 3.81852i −0.451673 0.146758i 0.0743417 0.997233i \(-0.476314\pi\)
−0.526015 + 0.850475i \(0.676314\pi\)
\(678\) −0.0403524 + 0.0408422i −0.00154973 + 0.00156853i
\(679\) −8.78454 + 12.0909i −0.337120 + 0.464005i
\(680\) −0.122235 12.5993i −0.00468752 0.483161i
\(681\) −1.10831 + 9.00382i −0.0424706 + 0.345027i
\(682\) −4.55482 + 3.11444i −0.174413 + 0.119258i
\(683\) −38.1930 + 27.7488i −1.46141 + 1.06178i −0.478422 + 0.878130i \(0.658791\pi\)
−0.982992 + 0.183650i \(0.941209\pi\)
\(684\) 38.7285 0.467219i 1.48082 0.0178646i
\(685\) −18.1391 41.7834i −0.693060 1.59646i
\(686\) 6.03295 + 20.5472i 0.230339 + 0.784494i
\(687\) −41.0402 19.1526i −1.56578 0.730716i
\(688\) 24.2304 + 11.0669i 0.923775 + 0.421921i
\(689\) −30.4902 9.90688i −1.16159 0.377422i
\(690\) −15.6529 + 4.13927i −0.595894 + 0.157579i
\(691\) 32.2512 10.4791i 1.22690 0.398642i 0.377307 0.926088i \(-0.376850\pi\)
0.849589 + 0.527446i \(0.176850\pi\)
\(692\) 16.1622 4.24794i 0.614396 0.161483i
\(693\) 4.54075 0.314742i 0.172489 0.0119561i
\(694\) 26.6823 + 9.52056i 1.01285 + 0.361396i
\(695\) −0.612630 + 2.75583i −0.0232384 + 0.104534i
\(696\) 18.6418 + 41.7296i 0.706614 + 1.58175i
\(697\) 12.8346 + 9.32485i 0.486144 + 0.353204i
\(698\) 4.11276 1.20757i 0.155670 0.0457071i
\(699\) 3.41791 + 3.18919i 0.129277 + 0.120626i
\(700\) −20.6350 21.6238i −0.779929 0.817303i
\(701\) 14.8993i 0.562739i −0.959600 0.281369i \(-0.909211\pi\)
0.959600 0.281369i \(-0.0907886\pi\)
\(702\) −21.7410 9.08968i −0.820561 0.343068i
\(703\) 19.0879 26.2723i 0.719915 0.990878i
\(704\) −4.00132 0.692718i −0.150806 0.0261078i
\(705\) −3.18155 + 8.95924i −0.119824 + 0.337424i
\(706\) 5.33853 14.9618i 0.200918 0.563094i
\(707\) −7.23894 −0.272248
\(708\) 9.88472 + 5.32045i 0.371490 + 0.199955i
\(709\) −3.08619 9.49831i −0.115904 0.356717i 0.876230 0.481893i \(-0.160050\pi\)
−0.992135 + 0.125176i \(0.960050\pi\)
\(710\) 5.28236 20.9214i 0.198243 0.785166i
\(711\) 5.54134 22.1676i 0.207817 0.831350i
\(712\) 2.15093 1.29697i 0.0806095 0.0486058i
\(713\) −21.6094 + 7.02130i −0.809277 + 0.262950i
\(714\) −6.54335 + 13.0358i −0.244879 + 0.487854i
\(715\) 0.346756 + 3.62323i 0.0129679 + 0.135501i
\(716\) 2.63768 + 0.150884i 0.0985747 + 0.00563879i
\(717\) −0.201387 + 1.63605i −0.00752094 + 0.0610994i
\(718\) 27.7403 + 40.5698i 1.03526 + 1.51405i
\(719\) −9.18586 + 6.67392i −0.342575 + 0.248895i −0.745747 0.666229i \(-0.767907\pi\)
0.403173 + 0.915124i \(0.367907\pi\)
\(720\) 26.7988 1.35007i 0.998733 0.0503141i
\(721\) 31.0679 + 22.5721i 1.15703 + 0.840630i
\(722\) −0.915847 + 32.0470i −0.0340843 + 1.19266i
\(723\) −19.9078 35.9404i −0.740379 1.33664i
\(724\) −5.56813 + 14.3007i −0.206938 + 0.531483i
\(725\) −19.7628 + 42.2533i −0.733970 + 1.56925i
\(726\) −26.0136 3.95947i −0.965457 0.146950i
\(727\) −9.35927 3.04101i −0.347116 0.112785i 0.130270 0.991479i \(-0.458416\pi\)
−0.477386 + 0.878694i \(0.658416\pi\)
\(728\) −10.5539 + 24.9713i −0.391154 + 0.925500i
\(729\) 11.0269 24.6456i 0.408404 0.912801i
\(730\) 18.9425 1.26805i 0.701092 0.0469326i
\(731\) 10.7334 7.79827i 0.396989 0.288429i
\(732\) 16.2754 + 33.8048i 0.601557 + 1.24946i
\(733\) −14.8246 + 10.7707i −0.547557 + 0.397824i −0.826884 0.562372i \(-0.809889\pi\)
0.279327 + 0.960196i \(0.409889\pi\)
\(734\) −29.5430 22.7815i −1.09045 0.840881i
\(735\) 2.12092 + 7.18344i 0.0782314 + 0.264965i
\(736\) −15.0058 7.37885i −0.553122 0.271988i
\(737\) 1.91800 0.623197i 0.0706505 0.0229558i
\(738\) −18.7316 + 28.1167i −0.689519 + 1.03499i
\(739\) −8.91682 2.89725i −0.328011 0.106577i 0.140382 0.990097i \(-0.455167\pi\)
−0.468393 + 0.883520i \(0.655167\pi\)
\(740\) 12.5179 18.6939i 0.460166 0.687202i
\(741\) 15.1624 32.4900i 0.557004 1.19355i
\(742\) −39.8019 14.2018i −1.46117 0.521363i
\(743\) −13.3660 −0.490352 −0.245176 0.969479i \(-0.578846\pi\)
−0.245176 + 0.969479i \(0.578846\pi\)
\(744\) 37.4445 3.98292i 1.37278 0.146021i
\(745\) −36.8337 + 3.52512i −1.34948 + 0.129150i
\(746\) 0.422535 14.7852i 0.0154701 0.541324i
\(747\) 19.5600 31.2602i 0.715662 1.14375i
\(748\) −1.28031 + 1.56569i −0.0468129 + 0.0572473i
\(749\) 30.4234i 1.11165i
\(750\) 18.9364 + 19.7841i 0.691461 + 0.722414i
\(751\) 6.02152i 0.219728i −0.993947 0.109864i \(-0.964958\pi\)
0.993947 0.109864i \(-0.0350416\pi\)
\(752\) −8.55021 + 4.82805i −0.311794 + 0.176061i
\(753\) 21.4616 4.16494i 0.782106 0.151779i
\(754\) 42.2914 + 1.20862i 1.54016 + 0.0440152i
\(755\) 38.9385 3.72656i 1.41712 0.135623i
\(756\) −28.3044 12.7955i −1.02942 0.465369i
\(757\) −28.1075 −1.02159 −0.510793 0.859704i \(-0.670648\pi\)
−0.510793 + 0.859704i \(0.670648\pi\)
\(758\) −15.2498 + 42.7390i −0.553897 + 1.55235i
\(759\) 2.35511 + 1.09908i 0.0854851 + 0.0398940i
\(760\) 0.396070 + 40.8245i 0.0143670 + 1.48086i
\(761\) 24.0839 + 7.82533i 0.873040 + 0.283668i 0.711064 0.703127i \(-0.248213\pi\)
0.161975 + 0.986795i \(0.448213\pi\)
\(762\) −9.87953 + 1.62591i −0.357898 + 0.0589004i
\(763\) −26.0761 + 8.47265i −0.944020 + 0.306731i
\(764\) 4.24908 + 3.47461i 0.153726 + 0.125707i
\(765\) 5.97729 11.9530i 0.216109 0.432161i
\(766\) −16.2427 + 21.0635i −0.586874 + 0.761056i
\(767\) 8.40702 6.10806i 0.303560 0.220549i
\(768\) 21.8042 + 17.1048i 0.786793 + 0.617217i
\(769\) 1.97124 1.43219i 0.0710848 0.0516461i −0.551675 0.834059i \(-0.686011\pi\)
0.622760 + 0.782413i \(0.286011\pi\)
\(770\) 0.320462 + 4.78714i 0.0115486 + 0.172517i
\(771\) −3.64851 18.8005i −0.131398 0.677083i
\(772\) −28.8728 + 18.5546i −1.03916 + 0.667794i
\(773\) 30.0829 + 9.77453i 1.08201 + 0.351565i 0.795153 0.606409i \(-0.207391\pi\)
0.286854 + 0.957974i \(0.407391\pi\)