Properties

Label 804.2.bd.a.23.7
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.7
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39851 - 0.210199i) q^{2} +(1.49247 + 0.878932i) q^{3} +(1.91163 + 0.587929i) q^{4} +(1.84970 - 0.844728i) q^{5} +(-1.90248 - 1.54291i) q^{6} +(-2.22048 - 2.32877i) q^{7} +(-2.54985 - 1.22405i) q^{8} +(1.45496 + 2.62357i) q^{9} +O(q^{10})\) \(q+(-1.39851 - 0.210199i) q^{2} +(1.49247 + 0.878932i) q^{3} +(1.91163 + 0.587929i) q^{4} +(1.84970 - 0.844728i) q^{5} +(-1.90248 - 1.54291i) q^{6} +(-2.22048 - 2.32877i) q^{7} +(-2.54985 - 1.22405i) q^{8} +(1.45496 + 2.62357i) q^{9} +(-2.76437 + 0.792551i) q^{10} +(-5.66494 - 0.540936i) q^{11} +(2.33631 + 2.55766i) q^{12} +(1.43368 + 0.276319i) q^{13} +(2.61584 + 3.72354i) q^{14} +(3.50308 + 0.365022i) q^{15} +(3.30868 + 2.24781i) q^{16} +(2.25848 - 4.38084i) q^{17} +(-1.48330 - 3.97490i) q^{18} +(5.85505 - 6.14060i) q^{19} +(4.03258 - 0.527319i) q^{20} +(-1.26718 - 5.42728i) q^{21} +(7.80874 + 1.94727i) q^{22} +(7.14970 - 2.86231i) q^{23} +(-2.72973 - 4.06800i) q^{24} +(-0.566495 + 0.653770i) q^{25} +(-1.94693 - 0.687792i) q^{26} +(-0.134447 + 5.19441i) q^{27} +(-2.87559 - 5.75724i) q^{28} +(0.448574 + 0.258984i) q^{29} +(-4.82235 - 1.24683i) q^{30} +(-1.08647 - 5.63715i) q^{31} +(-4.15472 - 3.83905i) q^{32} +(-7.97933 - 5.78643i) q^{33} +(-4.07935 + 5.65190i) q^{34} +(-6.07439 - 2.43182i) q^{35} +(1.23887 + 5.87071i) q^{36} +(3.45141 + 5.97802i) q^{37} +(-9.47907 + 7.35694i) q^{38} +(1.89687 + 1.67251i) q^{39} +(-5.75042 - 0.110187i) q^{40} +(9.17731 - 0.437169i) q^{41} +(0.631343 + 7.85644i) q^{42} +(-0.737434 - 1.14747i) q^{43} +(-10.5113 - 4.36466i) q^{44} +(4.90743 + 3.62375i) q^{45} +(-10.6005 + 2.50009i) q^{46} +(5.37460 + 4.22663i) q^{47} +(2.96245 + 6.26290i) q^{48} +(-0.159575 + 3.34990i) q^{49} +(0.929668 - 0.795224i) q^{50} +(7.22119 - 4.55324i) q^{51} +(2.57821 + 1.37112i) q^{52} +(0.952628 - 1.48232i) q^{53} +(1.27989 - 7.23615i) q^{54} +(-10.9354 + 3.78476i) q^{55} +(2.81135 + 8.65597i) q^{56} +(14.1357 - 4.01850i) q^{57} +(-0.572894 - 0.456480i) q^{58} +(-2.95889 - 3.41474i) q^{59} +(6.48200 + 2.75735i) q^{60} +(-5.41073 + 0.516663i) q^{61} +(0.334512 + 8.11196i) q^{62} +(2.87898 - 9.21383i) q^{63} +(5.00342 + 6.24226i) q^{64} +(2.88529 - 0.699963i) q^{65} +(9.94283 + 9.76960i) q^{66} +(-8.01598 + 1.65653i) q^{67} +(6.89301 - 7.04673i) q^{68} +(13.1865 + 2.01218i) q^{69} +(7.98389 + 4.67774i) q^{70} +(-4.77831 + 2.46339i) q^{71} +(-0.498555 - 8.47062i) q^{72} +(-11.5692 + 1.10473i) q^{73} +(-3.57024 - 9.08577i) q^{74} +(-1.42010 + 0.477825i) q^{75} +(14.8029 - 8.29622i) q^{76} +(11.3192 + 14.3935i) q^{77} +(-2.30122 - 2.73773i) q^{78} +(-8.67557 + 3.00264i) q^{79} +(8.01883 + 1.36283i) q^{80} +(-4.76619 + 7.63436i) q^{81} +(-12.9264 - 1.31768i) q^{82} +(3.55301 - 4.98951i) q^{83} +(0.768481 - 11.1200i) q^{84} +(0.476884 - 10.0110i) q^{85} +(0.790108 + 1.75975i) q^{86} +(0.441855 + 0.780793i) q^{87} +(13.7826 + 8.31345i) q^{88} +(-3.47539 + 0.499686i) q^{89} +(-6.10135 - 6.09938i) q^{90} +(-2.53997 - 3.95227i) q^{91} +(15.3504 - 1.26816i) q^{92} +(3.33314 - 9.36824i) q^{93} +(-6.62797 - 7.04070i) q^{94} +(5.64293 - 16.3042i) q^{95} +(-2.82654 - 9.38140i) q^{96} +(-3.99232 - 6.91491i) q^{97} +(0.927313 - 4.65131i) q^{98} +(-6.82307 - 15.6494i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39851 0.210199i −0.988892 0.148633i
\(3\) 1.49247 + 0.878932i 0.861680 + 0.507451i
\(4\) 1.91163 + 0.587929i 0.955816 + 0.293965i
\(5\) 1.84970 0.844728i 0.827209 0.377774i 0.0436161 0.999048i \(-0.486112\pi\)
0.783593 + 0.621275i \(0.213385\pi\)
\(6\) −1.90248 1.54291i −0.776685 0.629889i
\(7\) −2.22048 2.32877i −0.839262 0.880193i 0.154918 0.987927i \(-0.450489\pi\)
−0.994180 + 0.107735i \(0.965640\pi\)
\(8\) −2.54985 1.22405i −0.901507 0.432766i
\(9\) 1.45496 + 2.62357i 0.484986 + 0.874522i
\(10\) −2.76437 + 0.792551i −0.874170 + 0.250627i
\(11\) −5.66494 0.540936i −1.70804 0.163098i −0.805181 0.593029i \(-0.797932\pi\)
−0.902862 + 0.429930i \(0.858538\pi\)
\(12\) 2.33631 + 2.55766i 0.674435 + 0.738334i
\(13\) 1.43368 + 0.276319i 0.397631 + 0.0766372i 0.384147 0.923272i \(-0.374496\pi\)
0.0134843 + 0.999909i \(0.495708\pi\)
\(14\) 2.61584 + 3.72354i 0.699114 + 0.995158i
\(15\) 3.50308 + 0.365022i 0.904491 + 0.0942482i
\(16\) 3.30868 + 2.24781i 0.827170 + 0.561952i
\(17\) 2.25848 4.38084i 0.547762 1.06251i −0.438717 0.898625i \(-0.644567\pi\)
0.986479 0.163885i \(-0.0524027\pi\)
\(18\) −1.48330 3.97490i −0.349616 0.936893i
\(19\) 5.85505 6.14060i 1.34324 1.40875i 0.505349 0.862915i \(-0.331364\pi\)
0.837892 0.545836i \(-0.183788\pi\)
\(20\) 4.03258 0.527319i 0.901712 0.117912i
\(21\) −1.26718 5.42728i −0.276521 1.18433i
\(22\) 7.80874 + 1.94727i 1.66483 + 0.415159i
\(23\) 7.14970 2.86231i 1.49081 0.596832i 0.523866 0.851801i \(-0.324489\pi\)
0.966949 + 0.254969i \(0.0820651\pi\)
\(24\) −2.72973 4.06800i −0.557203 0.830376i
\(25\) −0.566495 + 0.653770i −0.113299 + 0.130754i
\(26\) −1.94693 0.687792i −0.381824 0.134887i
\(27\) −0.134447 + 5.19441i −0.0258743 + 0.999665i
\(28\) −2.87559 5.75724i −0.543435 1.08802i
\(29\) 0.448574 + 0.258984i 0.0832980 + 0.0480921i 0.541070 0.840977i \(-0.318019\pi\)
−0.457772 + 0.889069i \(0.651353\pi\)
\(30\) −4.82235 1.24683i −0.880436 0.227639i
\(31\) −1.08647 5.63715i −0.195136 1.01246i −0.938944 0.344069i \(-0.888194\pi\)
0.743808 0.668393i \(1.76698\pi\)
\(32\) −4.15472 3.83905i −0.734457 0.678655i
\(33\) −7.97933 5.78643i −1.38902 1.00729i
\(34\) −4.07935 + 5.65190i −0.699602 + 0.969293i
\(35\) −6.07439 2.43182i −1.02676 0.411052i
\(36\) 1.23887 + 5.87071i 0.206479 + 0.978451i
\(37\) 3.45141 + 5.97802i 0.567408 + 0.982780i 0.996821 + 0.0796718i \(0.0253872\pi\)
−0.429413 + 0.903108i \(0.641279\pi\)
\(38\) −9.47907 + 7.35694i −1.53771 + 1.19345i
\(39\) 1.89687 + 1.67251i 0.303741 + 0.267815i
\(40\) −5.75042 0.110187i −0.909222 0.0174221i
\(41\) 9.17731 0.437169i 1.43326 0.0682744i 0.683481 0.729968i \(-0.260465\pi\)
0.749774 + 0.661694i \(0.230162\pi\)
\(42\) 0.631343 + 7.85644i 0.0974183 + 1.21227i
\(43\) −0.737434 1.14747i −0.112458 0.174988i 0.780462 0.625203i \(-0.214984\pi\)
−0.892920 + 0.450215i \(0.851347\pi\)
\(44\) −10.5113 4.36466i −1.58463 0.657997i
\(45\) 4.90743 + 3.62375i 0.731556 + 0.540197i
\(46\) −10.6005 + 2.50009i −1.56296 + 0.368618i
\(47\) 5.37460 + 4.22663i 0.783966 + 0.616517i 0.927797 0.373085i \(-0.121700\pi\)
−0.143832 + 0.989602i \(0.545942\pi\)
\(48\) 2.96245 + 6.26290i 0.427592 + 0.903972i
\(49\) −0.159575 + 3.34990i −0.0227965 + 0.478557i
\(50\) 0.929668 0.795224i 0.131475 0.112462i
\(51\) 7.22119 4.55324i 1.01117 0.637582i
\(52\) 2.57821 + 1.37112i 0.357534 + 0.190141i
\(53\) 0.952628 1.48232i 0.130854 0.203612i −0.769644 0.638473i \(-0.779566\pi\)
0.900497 + 0.434861i \(0.143203\pi\)
\(54\) 1.27989 7.23615i 0.174170 0.984716i
\(55\) −10.9354 + 3.78476i −1.47452 + 0.510337i
\(56\) 2.81135 + 8.65597i 0.375683 + 1.15670i
\(57\) 14.1357 4.01850i 1.87232 0.532263i
\(58\) −0.572894 0.456480i −0.0752247 0.0599388i
\(59\) −2.95889 3.41474i −0.385215 0.444562i 0.529714 0.848176i \(-0.322299\pi\)
−0.914929 + 0.403614i \(0.867754\pi\)
\(60\) 6.48200 + 2.75735i 0.836822 + 0.355972i
\(61\) −5.41073 + 0.516663i −0.692774 + 0.0661519i −0.435503 0.900187i \(-0.643429\pi\)
−0.257271 + 0.966339i \(0.582823\pi\)
\(62\) 0.334512 + 8.11196i 0.0424830 + 1.03022i
\(63\) 2.87898 9.21383i 0.362717 1.16083i
\(64\) 5.00342 + 6.24226i 0.625428 + 0.780282i
\(65\) 2.88529 0.699963i 0.357876 0.0868197i
\(66\) 9.94283 + 9.76960i 1.22388 + 1.20255i
\(67\) −8.01598 + 1.65653i −0.979308 + 0.202377i
\(68\) 6.89301 7.04673i 0.835901 0.854542i
\(69\) 13.1865 + 2.01218i 1.58747 + 0.242238i
\(70\) 7.98389 + 4.67774i 0.954258 + 0.559097i
\(71\) −4.77831 + 2.46339i −0.567081 + 0.292351i −0.717827 0.696222i \(-0.754863\pi\)
0.150745 + 0.988573i \(0.451833\pi\)
\(72\) −0.498555 8.47062i −0.0587552 0.998272i
\(73\) −11.5692 + 1.10473i −1.35407 + 0.129298i −0.746723 0.665135i \(-0.768374\pi\)
−0.607351 + 0.794433i \(0.707768\pi\)
\(74\) −3.57024 9.08577i −0.415032 1.05620i
\(75\) −1.42010 + 0.477825i −0.163979 + 0.0551744i
\(76\) 14.8029 8.29622i 1.69801 0.951642i
\(77\) 11.3192 + 14.3935i 1.28994 + 1.64029i
\(78\) −2.30122 2.73773i −0.260561 0.309987i
\(79\) −8.67557 + 3.00264i −0.976078 + 0.337824i −0.768114 0.640313i \(-0.778805\pi\)
−0.207964 + 0.978137i \(0.566684\pi\)
\(80\) 8.01883 + 1.36283i 0.896533 + 0.152369i
\(81\) −4.76619 + 7.63436i −0.529577 + 0.848262i
\(82\) −12.9264 1.31768i −1.42748 0.145513i
\(83\) 3.55301 4.98951i 0.389994 0.547670i −0.572172 0.820134i \(-0.693899\pi\)
0.962166 + 0.272464i \(0.0878385\pi\)
\(84\) 0.768481 11.1200i 0.0838481 1.21329i
\(85\) 0.476884 10.0110i 0.0517253 1.08585i
\(86\) 0.790108 + 1.75975i 0.0851996 + 0.189759i
\(87\) 0.441855 + 0.780793i 0.0473719 + 0.0837098i
\(88\) 13.7826 + 8.31345i 1.46923 + 0.886217i
\(89\) −3.47539 + 0.499686i −0.368391 + 0.0529666i −0.324024 0.946049i \(-0.605036\pi\)
−0.0443664 + 0.999015i \(0.514127\pi\)
\(90\) −6.10135 6.09938i −0.643139 0.642931i
\(91\) −2.53997 3.95227i −0.266261 0.414311i
\(92\) 15.3504 1.26816i 1.60039 0.132215i
\(93\) 3.33314 9.36824i 0.345631 0.971441i
\(94\) −6.62797 7.04070i −0.683623 0.726193i
\(95\) 5.64293 16.3042i 0.578952 1.67277i
\(96\) −2.82654 9.38140i −0.288482 0.957485i
\(97\) −3.99232 6.91491i −0.405359 0.702102i 0.589004 0.808130i \(-0.299520\pi\)
−0.994363 + 0.106028i \(0.966187\pi\)
\(98\) 0.927313 4.65131i 0.0936728 0.469853i
\(99\) −6.82307 15.6494i −0.685744 1.57282i
\(100\) −1.46730 + 0.916709i −0.146730 + 0.0916709i
\(101\) 0.607243 + 0.147316i 0.0604230 + 0.0146585i 0.265856 0.964013i \(-0.414345\pi\)
−0.205434 + 0.978671i \(0.565860\pi\)
\(102\) −11.0560 + 4.84985i −1.09470 + 0.480206i
\(103\) 2.17947 + 11.3082i 0.214750 + 1.11423i 0.915959 + 0.401271i \(0.131432\pi\)
−0.701210 + 0.712955i \(0.747356\pi\)
\(104\) −3.31744 2.45946i −0.325301 0.241170i
\(105\) −6.92846 8.96839i −0.676149 0.875226i
\(106\) −1.64384 + 1.87279i −0.159664 + 0.181901i
\(107\) −2.43948 + 5.34171i −0.235833 + 0.516402i −0.990134 0.140127i \(-0.955249\pi\)
0.754301 + 0.656529i \(0.227976\pi\)
\(108\) −3.31096 + 9.85076i −0.318597 + 0.947890i
\(109\) 5.81307 6.70864i 0.556791 0.642571i −0.405661 0.914024i \(-0.632959\pi\)
0.962452 + 0.271452i \(0.0875040\pi\)
\(110\) 16.0887 2.99441i 1.53400 0.285506i
\(111\) −0.103128 + 11.9556i −0.00978851 + 1.13477i
\(112\) −2.11222 12.6964i −0.199586 1.19969i
\(113\) 8.22996 5.86053i 0.774209 0.551312i −0.123268 0.992373i \(-0.539337\pi\)
0.897477 + 0.441062i \(0.145398\pi\)
\(114\) −20.6135 + 2.64858i −1.93063 + 0.248062i
\(115\) 10.8069 11.3339i 1.00775 1.05690i
\(116\) 0.705244 + 0.758812i 0.0654802 + 0.0704539i
\(117\) 1.36100 + 4.16339i 0.125825 + 0.384905i
\(118\) 3.42025 + 5.39749i 0.314860 + 0.496880i
\(119\) −15.2169 + 4.46808i −1.39493 + 0.409588i
\(120\) −8.48551 5.21868i −0.774618 0.476398i
\(121\) 20.9977 + 4.04698i 1.90888 + 0.367907i
\(122\) 7.67554 + 0.414777i 0.694911 + 0.0375522i
\(123\) 14.0811 + 7.41377i 1.26965 + 0.668477i
\(124\) 1.23731 11.4149i 0.111114 1.02509i
\(125\) −3.36004 + 11.4432i −0.300531 + 1.02351i
\(126\) −5.96301 + 12.2804i −0.531227 + 1.09403i
\(127\) 13.5546 + 14.2157i 1.20278 + 1.26144i 0.956333 + 0.292280i \(0.0944140\pi\)
0.246445 + 0.969157i \(0.420738\pi\)
\(128\) −5.68520 9.78154i −0.502505 0.864574i
\(129\) −0.0920538 2.36072i −0.00810489 0.207850i
\(130\) −4.18222 + 0.372417i −0.366805 + 0.0326631i
\(131\) −0.784231 + 5.45445i −0.0685186 + 0.476557i 0.926454 + 0.376408i \(0.122841\pi\)
−0.994972 + 0.100149i \(0.968068\pi\)
\(132\) −11.8515 15.7528i −1.03154 1.37111i
\(133\) −27.3011 −2.36730
\(134\) 11.5586 0.631708i 0.998510 0.0545713i
\(135\) 4.13918 + 9.72165i 0.356244 + 0.836707i
\(136\) −11.1211 + 8.40599i −0.953629 + 0.720807i
\(137\) 7.34569 + 1.05615i 0.627585 + 0.0902331i 0.448766 0.893649i \(-0.351864\pi\)
0.178818 + 0.983882i \(0.442773\pi\)
\(138\) −18.0184 5.58583i −1.53383 0.475498i
\(139\) −1.27718 + 0.583270i −0.108329 + 0.0494723i −0.468843 0.883282i \(-0.655329\pi\)
0.360513 + 0.932754i \(0.382602\pi\)
\(140\) −10.1823 8.22005i −0.860558 0.694721i
\(141\) 4.30653 + 11.0320i 0.362675 + 0.929065i
\(142\) 7.20030 2.44067i 0.604235 0.204816i
\(143\) −7.97224 2.34086i −0.666672 0.195753i
\(144\) −1.08329 + 11.9510i −0.0902739 + 0.995917i
\(145\) 1.04850 + 0.100119i 0.0870728 + 0.00831445i
\(146\) 16.4118 + 0.886875i 1.35825 + 0.0733983i
\(147\) −3.18249 + 4.85938i −0.262488 + 0.400795i
\(148\) 3.08318 + 13.4570i 0.253436 + 1.10616i
\(149\) 0.332902 + 1.13376i 0.0272724 + 0.0928812i 0.972005 0.234962i \(-0.0754965\pi\)
−0.944732 + 0.327843i \(0.893678\pi\)
\(150\) 2.08645 0.369737i 0.170358 0.0301889i
\(151\) 2.31190 4.48446i 0.188140 0.364941i −0.775834 0.630937i \(-0.782671\pi\)
0.963974 + 0.265996i \(0.0857009\pi\)
\(152\) −22.4459 + 8.49074i −1.82060 + 0.688690i
\(153\) 14.7794 0.448670i 1.19485 0.0362728i
\(154\) −12.8044 22.5086i −1.03181 1.81380i
\(155\) −6.77150 9.50924i −0.543900 0.763801i
\(156\) 2.64279 + 4.31244i 0.211593 + 0.345272i
\(157\) 4.84348 1.93904i 0.386552 0.154752i −0.170243 0.985402i \(-0.554455\pi\)
0.556795 + 0.830650i \(0.312031\pi\)
\(158\) 12.7640 2.37561i 1.01545 0.188994i
\(159\) 2.72463 1.37503i 0.216077 0.109047i
\(160\) −10.9279 3.59148i −0.863927 0.283931i
\(161\) −22.5414 10.2943i −1.77651 0.811306i
\(162\) 8.27028 9.67484i 0.649775 0.760127i
\(163\) −4.18475 2.41607i −0.327775 0.189241i 0.327078 0.944997i \(-0.393936\pi\)
−0.654853 + 0.755756i \(0.727269\pi\)
\(164\) 17.8007 + 4.55990i 1.39000 + 0.356069i
\(165\) −19.6473 3.96277i −1.52954 0.308501i
\(166\) −6.01770 + 6.23101i −0.467064 + 0.483620i
\(167\) −5.10148 + 21.0286i −0.394764 + 1.62724i 0.334069 + 0.942549i \(0.391578\pi\)
−0.728833 + 0.684691i \(0.759937\pi\)
\(168\) −3.41213 + 15.3898i −0.263252 + 1.18735i
\(169\) −10.0897 4.03931i −0.776130 0.310716i
\(170\) −2.77123 + 13.9002i −0.212544 + 1.06610i
\(171\) 24.6291 + 6.42679i 1.88344 + 0.491469i
\(172\) −0.735072 2.62710i −0.0560487 0.200315i
\(173\) −19.5295 6.75924i −1.48480 0.513896i −0.540038 0.841641i \(-0.681590\pi\)
−0.944766 + 0.327745i \(0.893711\pi\)
\(174\) −0.453815 1.18482i −0.0344036 0.0898210i
\(175\) 2.78037 0.132445i 0.210176 0.0100119i
\(176\) −17.5275 14.5235i −1.32119 1.09475i
\(177\) −1.41474 7.69708i −0.106339 0.578548i
\(178\) 4.96539 + 0.0317114i 0.372171 + 0.00237687i
\(179\) −2.21807 15.4270i −0.165787 1.15307i −0.887476 0.460854i \(-0.847543\pi\)
0.721689 0.692217i \(1.75663\pi\)
\(180\) 7.25069 + 9.81251i 0.540434 + 0.731381i
\(181\) 17.3850 + 13.6717i 1.29222 + 1.01621i 0.998173 + 0.0604211i \(0.0192444\pi\)
0.294046 + 0.955791i \(0.404998\pi\)
\(182\) 2.72140 + 6.06117i 0.201723 + 0.449284i
\(183\) −8.52949 3.98456i −0.630518 0.294547i
\(184\) −21.7342 1.45312i −1.60227 0.107125i
\(185\) 11.4339 + 8.14201i 0.840634 + 0.598613i
\(186\) −6.63061 + 12.4009i −0.486180 + 0.909279i
\(187\) −15.1639 + 23.5955i −1.10890 + 1.72547i
\(188\) 7.78930 + 11.2396i 0.568093 + 0.819735i
\(189\) 12.3951 11.2210i 0.901613 0.816207i
\(190\) −11.3188 + 21.6153i −0.821151 + 1.56814i
\(191\) 0.474577 0.373211i 0.0343392 0.0270046i −0.600842 0.799368i \(-0.705168\pi\)
0.635181 + 0.772363i \(0.280925\pi\)
\(192\) 1.98097 + 13.7141i 0.142964 + 0.989728i
\(193\) 12.1170 + 13.9837i 0.872199 + 1.00657i 0.999891 + 0.0147574i \(0.00469760\pi\)
−0.127692 + 0.991814i \(0.540757\pi\)
\(194\) 4.12978 + 10.5097i 0.296501 + 0.754554i
\(195\) 4.92143 + 1.49129i 0.352431 + 0.106794i
\(196\) −2.27455 + 6.30996i −0.162468 + 0.450711i
\(197\) 2.01220 + 3.90313i 0.143363 + 0.278086i 0.949574 0.313542i \(-0.101516\pi\)
−0.806211 + 0.591628i \(0.798485\pi\)
\(198\) 6.25261 + 23.3199i 0.444354 + 1.65728i
\(199\) −13.4671 + 3.26709i −0.954658 + 0.231598i −0.682690 0.730708i \(-0.739190\pi\)
−0.271969 + 0.962306i \(0.587675\pi\)
\(200\) 2.24472 0.973597i 0.158726 0.0688437i
\(201\) −13.4196 4.57317i −0.946547 0.322567i
\(202\) −0.818267 0.333664i −0.0575731 0.0234765i
\(203\) −0.392933 1.61969i −0.0275785 0.113680i
\(204\) 16.4812 4.45858i 1.15392 0.312163i
\(205\) 16.6059 8.56096i 1.15981 0.597923i
\(206\) −0.671033 16.2726i −0.0467531 1.13377i
\(207\) 17.9120 + 14.5932i 1.24497 + 1.01429i
\(208\) 4.12247 + 4.13689i 0.285842 + 0.286842i
\(209\) −36.4902 + 31.6189i −2.52408 + 2.18713i
\(210\) 7.80434 + 13.9987i 0.538551 + 0.966002i
\(211\) −13.2015 16.7870i −0.908827 1.15567i −0.987318 0.158752i \(-0.949253\pi\)
0.0784917 0.996915i \(1.52501\pi\)
\(212\) 2.69257 2.27357i 0.184927 0.156149i
\(213\) −9.29666 0.523262i −0.636997 0.0358533i
\(214\) 4.53444 6.95763i 0.309968 0.475614i
\(215\) −2.33333 1.49954i −0.159132 0.102268i
\(216\) 6.70102 13.0804i 0.455947 0.890007i
\(217\) −10.7151 + 15.0473i −0.727392 + 1.02148i
\(218\) −9.53976 + 8.16017i −0.646114 + 0.552676i
\(219\) −18.2377 8.51978i −1.23239 0.575713i
\(220\) −23.1296 + 0.805861i −1.55939 + 0.0543311i
\(221\) 4.44845 5.65667i 0.299235 0.380509i
\(222\) 2.65728 16.6983i 0.178345 1.12071i
\(223\) 0.304532 0.0437851i 0.0203930 0.00293207i −0.132111 0.991235i \(-0.542175\pi\)
0.152504 + 0.988303i \(0.451266\pi\)
\(224\) 0.285178 + 18.1999i 0.0190542 + 1.21603i
\(225\) −2.53944 0.535029i −0.169296 0.0356686i
\(226\) −12.7415 + 6.46604i −0.847553 + 0.430115i
\(227\) 0.0230040 + 0.482914i 0.00152683 + 0.0320521i 0.999502 0.0315497i \(-0.0100443\pi\)
−0.997975 + 0.0636019i \(0.979741\pi\)
\(228\) 29.3848 + 0.628888i 1.94606 + 0.0416492i
\(229\) −0.537916 + 1.55421i −0.0355465 + 0.102705i −0.961378 0.275232i \(-0.911245\pi\)
0.925831 + 0.377937i \(0.123366\pi\)
\(230\) −17.4959 + 13.5790i −1.15364 + 0.895371i
\(231\) 4.24267 + 31.4307i 0.279147 + 2.06799i
\(232\) −0.826785 1.20944i −0.0542811 0.0794039i
\(233\) −1.32069 + 3.29893i −0.0865215 + 0.216120i −0.965318 0.261076i \(-0.915923\pi\)
0.878797 + 0.477196i \(0.158347\pi\)
\(234\) −1.02823 6.10860i −0.0672175 0.399332i
\(235\) 13.5117 + 3.27791i 0.881407 + 0.213827i
\(236\) −3.64869 8.26736i −0.237509 0.538159i
\(237\) −15.5872 3.14386i −1.01250 0.204216i
\(238\) 22.2201 3.05006i 1.44031 0.197706i
\(239\) −6.31836 + 10.9437i −0.408701 + 0.707891i −0.994744 0.102389i \(-0.967351\pi\)
0.586044 + 0.810280i \(0.300685\pi\)
\(240\) 10.7701 + 9.08200i 0.695205 + 0.586240i
\(241\) 9.02787 19.7683i 0.581536 1.27339i −0.358887 0.933381i \(-0.616844\pi\)
0.940423 0.340006i \(-0.110429\pi\)
\(242\) −28.5147 10.0734i −1.83300 0.647544i
\(243\) −13.8235 + 7.20492i −0.886778 + 0.462196i
\(244\) −10.6471 2.19346i −0.681611 0.140422i
\(245\) 2.53459 + 6.33109i 0.161929 + 0.404478i
\(246\) −18.1342 13.3280i −1.15619 0.849764i
\(247\) 10.0910 7.18580i 0.642077 0.457221i
\(248\) −4.12980 + 15.7038i −0.262242 + 0.997190i
\(249\) 9.68822 4.32386i 0.613966 0.274013i
\(250\) 7.10439 15.2971i 0.449321 0.967477i
\(251\) 11.1395 + 5.74280i 0.703117 + 0.362482i 0.772419 0.635114i \(-0.219047\pi\)
−0.0693015 + 0.997596i \(0.522077\pi\)
\(252\) 10.9206 15.9208i 0.687935 1.00292i
\(253\) −42.0509 + 12.3473i −2.64372 + 0.776266i
\(254\) −15.9681 22.7299i −1.00193 1.42620i
\(255\) 9.51074 14.5220i 0.595586 0.909406i
\(256\) 5.89470 + 14.8746i 0.368419 + 0.929660i
\(257\) −0.995080 + 10.4210i −0.0620714 + 0.650041i 0.909882 + 0.414867i \(0.136172\pi\)
−0.971953 + 0.235174i \(0.924434\pi\)
\(258\) −0.367485 + 3.32083i −0.0228786 + 0.206746i
\(259\) 6.25765 21.3116i 0.388832 1.32424i
\(260\) 5.92714 + 0.358273i 0.367585 + 0.0222191i
\(261\) −0.0268058 + 1.55367i −0.00165924 + 0.0961700i
\(262\) 2.24327 7.46322i 0.138590 0.461080i
\(263\) 8.51102 + 18.6365i 0.524812 + 1.14918i 0.967585 + 0.252545i \(0.0812675\pi\)
−0.442773 + 0.896634i \(0.646005\pi\)
\(264\) 13.2632 + 24.5216i 0.816294 + 1.50920i
\(265\) 0.509917 3.54655i 0.0313239 0.217863i
\(266\) 38.1807 + 5.73866i 2.34101 + 0.351860i
\(267\) −5.62612 2.30886i −0.344313 0.141300i
\(268\) −16.2975 1.54616i −0.995530 0.0944467i
\(269\) 2.47340i 0.150806i −0.997153 0.0754030i \(-0.975976\pi\)
0.997153 0.0754030i \(-0.0240243\pi\)
\(270\) −3.74518 14.4658i −0.227924 0.880363i
\(271\) 12.3379 + 1.77392i 0.749475 + 0.107758i 0.506459 0.862264i \(-0.330954\pi\)
0.243016 + 0.970022i \(0.421863\pi\)
\(272\) 17.3199 9.41816i 1.05017 0.571060i
\(273\) −0.317064 8.13113i −0.0191896 0.492118i
\(274\) −10.0510 3.02109i −0.607202 0.182511i
\(275\) 3.56281 3.39713i 0.214845 0.204855i
\(276\) 24.0247 + 11.5993i 1.44612 + 0.698194i
\(277\) −11.0134 3.23382i −0.661729 0.194301i −0.0664124 0.997792i \(-0.521155\pi\)
−0.595317 + 0.803491i \(0.702973\pi\)
\(278\) 1.90875 0.547243i 0.114479 0.0328215i
\(279\) 13.2087 11.0523i 0.790782 0.661681i
\(280\) 12.5121 + 13.6361i 0.747740 + 0.814912i
\(281\) 4.86034 25.2178i 0.289943 1.50437i −0.486220 0.873837i \(-0.661625\pi\)
0.776163 0.630532i \(-0.217163\pi\)
\(282\) −3.70378 16.3336i −0.220557 0.972651i
\(283\) 0.715648 + 2.43727i 0.0425409 + 0.144881i 0.978025 0.208488i \(-0.0668542\pi\)
−0.935484 + 0.353369i \(0.885036\pi\)
\(284\) −10.5827 + 1.89979i −0.627966 + 0.112732i
\(285\) 22.7522 19.3738i 1.34772 1.14761i
\(286\) 10.6572 + 4.94946i 0.630172 + 0.292668i
\(287\) −21.3961 20.4011i −1.26297 1.20424i
\(288\) 4.02707 16.4858i 0.237298 0.971437i
\(289\) −4.23008 5.94031i −0.248828 0.349430i
\(290\) −1.44528 0.360410i −0.0848698 0.0211640i
\(291\) 0.119291 13.8293i 0.00699296 0.810688i
\(292\) −22.7656 4.69005i −1.33226 0.274465i
\(293\) −4.49121 3.89166i −0.262379 0.227353i 0.513729 0.857952i \(-0.328264\pi\)
−0.776108 + 0.630599i \(0.782809\pi\)
\(294\) 5.47217 6.12691i 0.319144 0.357329i
\(295\) −8.35758 3.81678i −0.486597 0.222221i
\(296\) −1.48320 19.4677i −0.0862090 1.13154i
\(297\) 3.57148 29.3533i 0.207238 1.70325i
\(298\) −0.227250 1.65554i −0.0131642 0.0959031i
\(299\) 11.0413 2.12803i 0.638534 0.123067i
\(300\) −2.99563 + 0.0785076i −0.172953 + 0.00453264i
\(301\) −1.03474 + 4.26525i −0.0596413 + 0.245845i
\(302\) −4.17584 + 5.78559i −0.240292 + 0.332923i
\(303\) 0.776814 + 0.753590i 0.0446268 + 0.0432926i
\(304\) 33.1754 7.15623i 1.90274 0.410438i
\(305\) −9.57177 + 5.52627i −0.548078 + 0.316433i
\(306\) −20.7634 2.47916i −1.18697 0.141724i
\(307\) 23.2959 + 8.06280i 1.32957 + 0.460168i 0.897238 0.441546i \(-0.145570\pi\)
0.432331 + 0.901715i \(0.357691\pi\)
\(308\) 13.1757 + 34.1699i 0.750757 + 1.94701i
\(309\) −6.68630 + 18.7927i −0.380370 + 1.06908i
\(310\) 7.47114 + 14.7221i 0.424332 + 0.836158i
\(311\) −17.7601 + 11.4137i −1.00708 + 0.647212i −0.936636 0.350304i \(-0.886078\pi\)
−0.0704453 + 0.997516i \(0.522442\pi\)
\(312\) −2.78949 6.58648i −0.157924 0.372886i
\(313\) 2.12693 + 14.7931i 0.120221 + 0.836158i 0.957304 + 0.289082i \(0.0933500\pi\)
−0.837083 + 0.547076i \(0.815741\pi\)
\(314\) −7.18122 + 1.69366i −0.405260 + 0.0955787i
\(315\) −2.45795 19.4747i −0.138490 1.09728i
\(316\) −18.3498 + 0.639330i −1.03226 + 0.0359651i
\(317\) −12.2495 0.583517i −0.688002 0.0327736i −0.299330 0.954150i \(-0.596763\pi\)
−0.388672 + 0.921376i \(0.627066\pi\)
\(318\) −4.09944 + 1.35027i −0.229885 + 0.0757192i
\(319\) −2.40105 1.70978i −0.134433 0.0957292i
\(320\) 14.5278 + 7.31974i 0.812130 + 0.409186i
\(321\) −8.33585 + 5.82823i −0.465262 + 0.325300i
\(322\) 29.3604 + 19.1348i 1.63619 + 1.06634i
\(323\) −13.6775 39.5185i −0.761036 2.19887i
\(324\) −13.5997 + 11.7919i −0.755537 + 0.655106i
\(325\) −0.992822 + 0.780764i −0.0550719 + 0.0433090i
\(326\) 5.34454 + 4.25851i 0.296007 + 0.235857i
\(327\) 14.5723 4.90318i 0.805850 0.271147i
\(328\) −23.9358 10.1187i −1.32164 0.558714i
\(329\) −2.09132 21.9013i −0.115298 1.20746i
\(330\) 26.6439 + 9.67180i 1.46670 + 0.532415i
\(331\) 15.8307 + 30.7073i 0.870134 + 1.68783i 0.714065 + 0.700079i \(0.246852\pi\)
0.156069 + 0.987746i \(0.450118\pi\)
\(332\) 9.72554 7.44919i 0.533758 0.408827i
\(333\) −10.6621 + 17.7528i −0.584277 + 0.972846i
\(334\) 11.5546 28.3362i 0.632241 1.55049i
\(335\) −13.4278 + 9.83539i −0.733639 + 0.537365i
\(336\) 8.00681 20.8055i 0.436807 1.13503i
\(337\) 4.10410 + 16.9173i 0.223565 + 0.921546i 0.967414 + 0.253199i \(0.0814827\pi\)
−0.743850 + 0.668347i \(0.767002\pi\)
\(338\) 13.2614 + 7.76983i 0.721327 + 0.422623i
\(339\) 17.4340 1.51311i 0.946885 0.0821811i
\(340\) 6.79740 18.8570i 0.368641 1.02267i
\(341\) 3.10546 + 32.5218i 0.168170 + 1.76116i
\(342\) −33.0931 14.1649i −1.78947 0.765952i
\(343\) −8.86703 + 7.68333i −0.478775 + 0.414861i
\(344\) 0.475787 + 3.82852i 0.0256527 + 0.206420i
\(345\) 26.0908 7.41710i 1.40468 0.399323i
\(346\) 25.8914 + 13.5579i 1.39193 + 0.728879i
\(347\) 3.94132 + 11.3877i 0.211581 + 0.611324i 0.999993 0.00382431i \(-0.00121732\pi\)
−0.788411 + 0.615148i \(0.789096\pi\)
\(348\) 0.385614 + 1.75237i 0.0206711 + 0.0939368i
\(349\) −7.49675 4.81787i −0.401292 0.257895i 0.324392 0.945923i \(-0.394840\pi\)
−0.725684 + 0.688028i \(0.758477\pi\)
\(350\) −3.91620 0.399206i −0.209330 0.0213385i
\(351\) −1.62807 + 7.40998i −0.0869000 + 0.395515i
\(352\) 21.4595 + 23.9954i 1.14380 + 1.27896i
\(353\) −7.19692 0.342832i −0.383054 0.0182471i −0.144828 0.989457i \(-0.546263\pi\)
−0.238226 + 0.971210i \(0.576566\pi\)
\(354\) 0.360606 + 11.0618i 0.0191660 + 0.587927i
\(355\) −6.75753 + 8.59289i −0.358652 + 0.456063i
\(356\) −6.93745 1.08807i −0.367684 0.0576675i
\(357\) −26.6379 6.70611i −1.40983 0.354925i
\(358\) −0.140765 + 22.0410i −0.00743965 + 1.16490i
\(359\) 21.4789 13.8036i 1.13361 0.728529i 0.167302 0.985906i \(-0.446495\pi\)
0.966311 + 0.257377i \(0.0828582\pi\)
\(360\) −8.07754 15.2469i −0.425724 0.803584i
\(361\) −2.52130 52.9286i −0.132700 2.78572i
\(362\) −21.4393 22.7743i −1.12682 1.19699i
\(363\) 27.7815 + 24.4956i 1.45815 + 1.28568i
\(364\) −2.53184 9.04862i −0.132704 0.474276i
\(365\) −20.4663 + 11.8162i −1.07126 + 0.618491i
\(366\) 11.0910 + 7.36532i 0.579735 + 0.384991i
\(367\) −1.13100 + 2.82510i −0.0590376 + 0.147469i −0.954954 0.296754i \(-0.904096\pi\)
0.895916 + 0.444223i \(0.146520\pi\)
\(368\) 30.0900 + 6.60071i 1.56855 + 0.344086i
\(369\) 14.4995 + 23.4412i 0.754816 + 1.22030i
\(370\) −14.2789 13.7900i −0.742323 0.716910i
\(371\) −5.56727 + 1.07300i −0.289038 + 0.0557076i
\(372\) 11.8796 15.9490i 0.615929 0.826916i
\(373\) −8.60362 + 14.9019i −0.445479 + 0.771592i −0.998085 0.0618504i \(-0.980300\pi\)
0.552607 + 0.833442i \(0.313633\pi\)
\(374\) 26.1666 29.8110i 1.35304 1.54149i
\(375\) −15.0726 + 14.1255i −0.778345 + 0.729437i
\(376\) −8.53080 17.3560i −0.439943 0.895068i
\(377\) 0.571549 + 0.495250i 0.0294363 + 0.0255067i
\(378\) −19.6933 + 13.0872i −1.01291 + 0.673131i
\(379\) −2.06654 5.16196i −0.106151 0.265152i 0.865777 0.500429i \(-0.166824\pi\)
−0.971928 + 0.235277i \(0.924400\pi\)
\(380\) 20.3729 27.8499i 1.04511 1.42867i
\(381\) 7.73531 + 33.1301i 0.396292 + 1.69731i
\(382\) −0.742147 + 0.422182i −0.0379715 + 0.0216007i
\(383\) 7.70467 + 7.34638i 0.393690 + 0.375383i 0.860909 0.508759i \(-0.169896\pi\)
−0.467219 + 0.884142i \(0.654744\pi\)
\(384\) 0.112297 19.5956i 0.00573062 0.999984i
\(385\) 33.0956 + 17.0620i 1.68671 + 0.869558i
\(386\) −14.0063 22.1033i −0.712901 1.12503i
\(387\) 1.93753 3.60423i 0.0984900 0.183213i
\(388\) −3.56638 15.5660i −0.181055 0.790242i
\(389\) 1.95545 10.1458i 0.0991454 0.514415i −0.898071 0.439851i \(-0.855031\pi\)
0.997216 0.0745642i \(-0.0237566\pi\)
\(390\) −6.56918 3.12006i −0.332643 0.157990i
\(391\) 3.60814 37.7862i 0.182472 1.91093i
\(392\) 4.50732 8.34640i 0.227654 0.421557i
\(393\) −5.96453 + 7.45133i −0.300871 + 0.375870i
\(394\) −1.99364 5.88151i −0.100438 0.296306i
\(395\) −13.5107 + 12.8825i −0.679799 + 0.648187i
\(396\) −3.84247 33.9273i −0.193092 1.70491i
\(397\) −4.73575 10.3698i −0.237681 0.520448i 0.752775 0.658277i \(-0.228715\pi\)
−0.990456 + 0.137830i \(0.955987\pi\)
\(398\) 19.5206 1.73826i 0.978477 0.0871311i
\(399\) −40.7461 23.9958i −2.03986 1.20129i
\(400\) −3.34390 + 0.889742i −0.167195 + 0.0444871i
\(401\) 20.0619i 1.00184i −0.865493 0.500921i \(-0.832995\pi\)
0.865493 0.500921i \(-0.167005\pi\)
\(402\) 17.8061 + 9.21640i 0.888089 + 0.459672i
\(403\) 8.38209i 0.417542i
\(404\) 1.07421 + 0.638629i 0.0534442 + 0.0317730i
\(405\) −2.36705 + 18.1474i −0.117620 + 0.901750i
\(406\) 0.209061 + 2.34774i 0.0103755 + 0.116517i
\(407\) −16.3183 35.7321i −0.808868 1.77117i
\(408\) −23.9863 + 2.77101i −1.18750 + 0.137185i
\(409\) 1.59871 1.52436i 0.0790509 0.0753749i −0.649524 0.760341i \(-0.725032\pi\)
0.728575 + 0.684966i \(0.240183\pi\)
\(410\) −25.0230 + 8.48199i −1.23580 + 0.418895i
\(411\) 10.0350 + 8.03264i 0.494988 + 0.396221i
\(412\) −2.48206 + 22.8984i −0.122282 + 1.12812i
\(413\) −1.38200 + 14.4729i −0.0680037 + 0.712167i
\(414\) −21.9825 24.1737i −1.08038 1.18807i
\(415\) 2.35722 12.2304i 0.115711 0.600367i
\(416\) −4.89573 6.65200i −0.240033 0.326141i
\(417\) −2.41882 0.252041i −0.118450 0.0123425i
\(418\) 57.6780 36.5490i 2.82112 1.78767i
\(419\) 16.7784 + 8.64989i 0.819681 + 0.422575i 0.816447 0.577420i \(-0.195940\pi\)
0.00323340 + 0.999995i \(0.498971\pi\)
\(420\) −7.97189 21.2177i −0.388989 1.03532i
\(421\) 19.2921 + 18.3950i 0.940242 + 0.896519i 0.994785 0.101993i \(-0.0325219\pi\)
−0.0545435 + 0.998511i \(0.517370\pi\)
\(422\) 14.9337 + 26.2517i 0.726961 + 1.27791i
\(423\) −3.26903 + 20.2502i −0.158945 + 0.984597i
\(424\) −4.24348 + 2.61362i −0.206082 + 0.126929i
\(425\) 1.58465 + 3.95825i 0.0768666 + 0.192004i
\(426\) 12.8914 + 2.68593i 0.624592 + 0.130134i
\(427\) 13.2176 + 11.4531i 0.639645 + 0.554255i
\(428\) −7.80393 + 8.77714i −0.377217 + 0.424259i
\(429\) −9.84091 10.5007i −0.475123 0.506980i
\(430\) 2.94797 + 2.58758i 0.142164 + 0.124784i
\(431\) −7.73695 + 13.4008i −0.372676 + 0.645493i −0.989976 0.141234i \(-0.954893\pi\)
0.617301 + 0.786727i \(0.288226\pi\)
\(432\) −12.1209 + 16.8844i −0.583167 + 0.812352i
\(433\) 5.19845 1.00192i 0.249822 0.0481492i −0.0628029 0.998026i \(-0.520004\pi\)
0.312625 + 0.949877i \(0.398792\pi\)
\(434\) 18.1481 18.7914i 0.871138 0.902018i
\(435\) 1.47685 + 1.07098i 0.0708098 + 0.0513496i
\(436\) 15.0567 9.40678i 0.721083 0.450503i
\(437\) 24.2856 60.6624i 1.16174 2.90188i
\(438\) 23.7147 + 15.7485i 1.13313 + 0.752493i
\(439\) 11.8766 6.85696i 0.566839 0.327265i −0.189047 0.981968i \(-0.560540\pi\)
0.755886 + 0.654703i \(0.227206\pi\)
\(440\) 32.5162 + 3.73481i 1.55015 + 0.178050i
\(441\) −9.02085 + 4.45531i −0.429564 + 0.212157i
\(442\) −7.41021 + 6.97581i −0.352468 + 0.331806i
\(443\) 0.133818 + 2.80919i 0.00635789 + 0.133469i 0.999815 + 0.0192587i \(0.00613062\pi\)
−0.993457 + 0.114210i \(0.963566\pi\)
\(444\) −7.22619 + 22.7941i −0.342940 + 1.08176i
\(445\) −6.00632 + 3.86003i −0.284727 + 0.182983i
\(446\) −0.435093 0.00277872i −0.0206023 0.000131576i
\(447\) −0.499650 + 1.98470i −0.0236326 + 0.0938733i
\(448\) 3.42679 25.5126i 0.161900 1.20536i
\(449\) 10.6208 13.5055i 0.501228 0.637363i −0.467941 0.883760i \(-0.655004\pi\)
0.969169 + 0.246397i \(0.0792465\pi\)
\(450\) 3.43895 + 1.28203i 0.162114 + 0.0604354i
\(451\) −52.2254 2.48780i −2.45920 0.117146i
\(452\) 19.1782 6.36454i 0.902068 0.299363i
\(453\) 7.39199 4.66094i 0.347306 0.218990i
\(454\) 0.0693369 0.680193i 0.00325414 0.0319231i
\(455\) −8.03677 5.16492i −0.376770 0.242135i
\(456\) −40.9626 7.05617i −1.91825 0.330436i
\(457\) 2.99366 + 8.64960i 0.140037 + 0.404611i 0.993111 0.117180i \(-0.0373853\pi\)
−0.853073 + 0.521791i \(0.825264\pi\)
\(458\) 1.07897 2.06050i 0.0504170 0.0962807i
\(459\) 22.4523 + 12.3205i 1.04798 + 0.575071i
\(460\) 27.3224 15.3126i 1.27391 0.713956i
\(461\) −10.8035 + 9.36128i −0.503169 + 0.435998i −0.869095 0.494646i \(-0.835298\pi\)
0.365926 + 0.930644i \(0.380752\pi\)
\(462\) 0.673311 44.8478i 0.0313253 2.08651i
\(463\) −3.16336 33.1282i −0.147014 1.53960i −0.704675 0.709530i \(-0.748907\pi\)
0.557661 0.830069i \(1.68830\pi\)
\(464\) 0.902039 + 1.86520i 0.0418761 + 0.0865899i
\(465\) −1.74832 20.1440i −0.0810762 0.934155i
\(466\) 2.54043 4.33597i 0.117683 0.200860i
\(467\) 1.93089 + 7.95924i 0.0893509 + 0.368310i 0.998879 0.0473325i \(-0.0150720\pi\)
−0.909528 + 0.415642i \(0.863557\pi\)
\(468\) 0.153961 + 8.75904i 0.00711686 + 0.404887i
\(469\) 21.6570 + 14.9891i 1.00003 + 0.692132i
\(470\) −18.2072 7.42432i −0.839835 0.342458i
\(471\) 8.93306 + 1.36313i 0.411613 + 0.0628095i
\(472\) 3.36492 + 12.3289i 0.154883 + 0.567483i
\(473\) 3.55681 + 6.89925i 0.163542 + 0.317228i
\(474\) 21.1379 + 7.67312i 0.970897 + 0.352438i
\(475\) 0.697684 + 7.30648i 0.0320120 + 0.335244i
\(476\) −31.7160 0.405124i −1.45370 0.0185688i
\(477\) 5.27500 + 0.342571i 0.241525 + 0.0156853i
\(478\) 11.1366 13.9767i 0.509377 0.639281i
\(479\) 1.59842 1.25701i 0.0730336 0.0574343i −0.580975 0.813922i \(-0.697329\pi\)
0.654008 + 0.756487i \(0.273086\pi\)
\(480\) −13.1530 14.9651i −0.600348 0.683059i
\(481\) 3.29638 + 9.52426i 0.150302 + 0.434269i
\(482\) −16.7808 + 25.7484i −0.764344 + 1.17281i
\(483\) −24.5945 35.1764i −1.11909 1.60058i
\(484\) 37.7606 + 20.0815i 1.71639 + 0.912796i
\(485\) −13.2258 9.41805i −0.600552 0.427651i
\(486\) 20.8467 7.17043i 0.945625 0.325257i
\(487\) 39.6421 + 1.88838i 1.79635 + 0.0855708i 0.918996 0.394267i \(-0.129002\pi\)
0.877357 + 0.479838i \(0.159305\pi\)
\(488\) 14.4290 + 5.30558i 0.653168 + 0.240172i
\(489\) −4.12207 7.28402i −0.186407 0.329395i
\(490\) −2.21384 9.38683i −0.100011 0.424054i
\(491\) 2.28477 + 15.8909i 0.103110 + 0.717146i 0.974145 + 0.225925i \(0.0725404\pi\)
−0.871035 + 0.491222i \(0.836551\pi\)
\(492\) 22.5592 + 22.4511i 1.01705 + 1.01217i
\(493\) 2.14766 1.38022i 0.0967259 0.0621620i
\(494\) −15.6228 + 7.92824i −0.702904 + 0.356709i
\(495\) −25.8401 23.1830i −1.16142 1.04200i
\(496\) 9.07646 21.0937i 0.407545 0.947135i
\(497\) 16.3468 + 5.65769i 0.733255 + 0.253782i
\(498\) −14.4579 + 4.01048i −0.647874 + 0.179714i
\(499\) −7.35848 + 4.24842i −0.329411 + 0.190185i −0.655579 0.755126i \(-0.727576\pi\)
0.326169 + 0.945312i \(0.394242\pi\)
\(500\) −13.1510 + 19.8998i −0.588129 + 0.889946i
\(501\) −26.0965 + 26.9008i −1.16591 + 1.20184i
\(502\) −14.3715 10.3728i −0.641430 0.462962i
\(503\) 4.34876 17.9258i 0.193902 0.799273i −0.788887 0.614538i \(-0.789342\pi\)
0.982788 0.184735i \(-0.0591426\pi\)
\(504\) −18.6191 + 19.9699i −0.829361 + 0.889528i
\(505\) 1.24766 0.240466i 0.0555200 0.0107006i
\(506\) 61.4038 8.42864i 2.72973 0.374699i
\(507\) −11.5083 14.8967i −0.511103 0.661586i
\(508\) 17.5536 + 35.1443i 0.778817 + 1.55928i
\(509\) −4.42668 2.02160i −0.196209 0.0896057i 0.314887 0.949129i \(-0.398033\pi\)
−0.511096 + 0.859523i \(0.670761\pi\)
\(510\) −16.3533 + 18.3100i −0.724138 + 0.810781i
\(511\) 28.2619 + 24.4890i 1.25023 + 1.08333i
\(512\) −5.11715 22.0412i −0.226148 0.974093i
\(513\) 31.1096 + 31.2391i 1.37352 + 1.37924i
\(514\) 3.58210 14.3646i 0.158000 0.633595i
\(515\) 13.5837 + 19.0756i 0.598568 + 0.840571i
\(516\) 1.21197 4.56696i 0.0533538 0.201049i
\(517\) −28.1604 26.8509i −1.23849 1.18090i
\(518\) −13.2310 + 28.4890i −0.581338 + 1.25174i
\(519\) −23.2064 27.2531i −1.01865 1.19628i
\(520\) −8.21382 1.74693i −0.360200 0.0766077i
\(521\) 7.88088 + 26.8398i 0.345267 + 1.17587i 0.930893 + 0.365291i \(0.119031\pi\)
−0.585626 + 0.810582i \(0.699151\pi\)
\(522\) 0.364069 2.16719i 0.0159349 0.0948551i
\(523\) −6.95116 + 36.0660i −0.303953 + 1.57706i 0.433179 + 0.901308i \(0.357392\pi\)
−0.737132 + 0.675749i \(0.763820\pi\)
\(524\) −4.70599 + 9.96582i −0.205582 + 0.435359i
\(525\) 4.26604 + 2.24609i 0.186185 + 0.0980272i
\(526\) −7.98532 27.8523i −0.348177 1.21442i
\(527\) −27.1493 7.97174i −1.18264 0.347255i
\(528\) −13.3942 37.0814i −0.582910 1.61376i
\(529\) 26.2795 25.0574i 1.14259 1.08945i
\(530\) −1.45860 + 4.85268i −0.0633577 + 0.210787i
\(531\) 4.65374 12.7312i 0.201955 0.552485i
\(532\) −52.1896 16.0511i −2.26271 0.695903i
\(533\) 13.2781 + 1.90911i 0.575140 + 0.0826926i
\(534\) 7.38284 + 4.41156i 0.319487 + 0.190907i
\(535\) 11.9412i 0.516264i
\(536\) 22.4672 + 5.58804i 0.970434 + 0.241367i
\(537\) 10.2489 24.9740i 0.442272 1.07771i
\(538\) −0.519907 + 3.45906i −0.0224148 + 0.149131i
\(539\) 2.71607 18.8907i 0.116989 0.813678i
\(540\) 2.19694 + 21.0178i 0.0945414 + 0.904461i
\(541\) 7.56711 + 16.5697i 0.325335 + 0.712385i 0.999661 0.0260492i \(-0.00829265\pi\)
−0.674325 + 0.738435i \(0.735565\pi\)
\(542\) −16.8818 5.07426i −0.725133 0.217958i
\(543\) 13.9302 + 35.6850i 0.597801 + 1.53139i
\(544\) −26.2016 + 9.53072i −1.12339 + 0.408626i
\(545\) 5.08544 17.3194i 0.217836 0.741882i
\(546\) −1.26574 + 11.4381i −0.0541687 + 0.489504i
\(547\) 1.42212 14.8932i 0.0608056 0.636785i −0.912778 0.408455i \(-0.866068\pi\)
0.973584 0.228330i \(-0.0733264\pi\)
\(548\) 13.4213 + 6.33772i 0.573330 + 0.270734i
\(549\) −9.22789 13.4437i −0.393837 0.573763i
\(550\) −5.69668 + 4.00201i −0.242907 + 0.170646i
\(551\) 4.21674 1.23815i 0.179639 0.0527468i
\(552\) −31.1606 21.2716i −1.32628 0.905381i
\(553\) 26.2564 + 13.5361i 1.11654 + 0.575614i
\(554\) 14.7225 + 6.83751i 0.625499 + 0.290498i
\(555\) 9.90846 + 22.2013i 0.420591 + 0.942393i
\(556\) −2.78443 + 0.364105i −0.118086 + 0.0154415i
\(557\) −30.1986 + 21.5043i −1.27955 + 0.911167i −0.998817 0.0486181i \(-0.984518\pi\)
−0.280737 + 0.959785i \(0.590579\pi\)
\(558\) −20.7956 + 12.6802i −0.880346 + 0.536795i
\(559\) −0.740177 1.84887i −0.0313061 0.0781990i
\(560\) −14.6319 21.7002i −0.618312 0.916999i
\(561\) −43.3706 + 21.8877i −1.83111 + 0.924097i
\(562\) −12.0980 + 34.2456i −0.510322 + 1.44456i
\(563\) −5.95535 + 13.0404i −0.250988 + 0.549588i −0.992627 0.121212i \(-0.961322\pi\)
0.741638 + 0.670800i \(0.234049\pi\)
\(564\) 1.74644 + 23.6211i 0.0735384 + 0.994629i
\(565\) 10.2724 17.7923i 0.432162 0.748526i
\(566\) −0.488525 3.55897i −0.0205342 0.149595i
\(567\) 28.3619 5.85256i 1.19109 0.245784i
\(568\) 15.1993 0.432394i 0.637747 0.0181428i
\(569\) −2.44552 0.593276i −0.102521 0.0248714i 0.184170 0.982894i \(-0.441040\pi\)
−0.286691 + 0.958023i \(0.592555\pi\)
\(570\) −35.8914 + 22.3119i −1.50332 + 0.934541i
\(571\) 12.3375 30.8177i 0.516310 1.28968i −0.409714 0.912214i \(-0.634372\pi\)
0.926024 0.377465i \(-0.123204\pi\)
\(572\) −13.8637 9.16198i −0.579672 0.383082i
\(573\) 1.03632 0.139888i 0.0432929 0.00584389i
\(574\) 25.6342 + 33.0285i 1.06995 + 1.37858i
\(575\) −2.17898 + 6.29574i −0.0908697 + 0.262551i
\(576\) −9.09719 + 22.2090i −0.379050 + 0.925376i
\(577\) −0.558775 11.7301i −0.0232621 0.488331i −0.980197 0.198027i \(-0.936547\pi\)
0.956934 0.290304i \(-0.0937565\pi\)
\(578\) 4.66714 + 9.19672i 0.194127 + 0.382533i
\(579\) 5.79353 + 31.5204i 0.240771 + 1.30994i
\(580\) 1.94548 + 0.807832i 0.0807815 + 0.0335434i
\(581\) −19.5088 + 2.80494i −0.809362 + 0.116369i
\(582\) −3.07374 + 19.3153i −0.127410 + 0.800644i
\(583\) −6.19842 + 7.88194i −0.256712 + 0.326436i
\(584\) 30.8520 + 11.3444i 1.27666 + 0.469433i
\(585\) 6.03437 + 6.55132i 0.249490 + 0.270864i
\(586\) 5.46296 + 6.38655i 0.225673 + 0.263826i
\(587\) −26.8138 + 37.6547i −1.10672 + 1.55418i −0.309091 + 0.951033i \(0.600025\pi\)
−0.797633 + 0.603143i \(0.793915\pi\)
\(588\) −8.94073 + 7.41827i −0.368710 + 0.305924i
\(589\) −40.9769 26.3342i −1.68842 1.08508i
\(590\) 10.8858 + 7.09454i 0.448163 + 0.292078i
\(591\) −0.427423 + 7.59390i −0.0175818 + 0.312372i
\(592\) −2.01784 + 27.5375i −0.0829327 + 1.13178i
\(593\) −2.36364 3.00562i −0.0970632 0.123426i 0.735095 0.677964i \(-0.237137\pi\)
−0.832158 + 0.554538i \(0.812895\pi\)
\(594\) −11.1648 + 40.3000i −0.458096 + 1.65353i
\(595\) −24.3723 + 21.1187i −0.999167 + 0.865783i
\(596\) −0.0301845 + 2.36305i −0.00123640 + 0.0967945i
\(597\) −22.9709 6.96063i −0.940135 0.284880i
\(598\) −15.8886 + 0.655196i −0.649734 + 0.0267930i
\(599\) 23.4174 12.0725i 0.956808 0.493269i 0.0922139 0.995739i \(-0.470606\pi\)
0.864595 + 0.502470i \(0.167575\pi\)
\(600\) 4.20591 + 0.519887i 0.171706 + 0.0212243i
\(601\) −0.888753 3.66349i −0.0362530 0.149437i 0.950808 0.309779i \(-0.100255\pi\)
−0.987061 + 0.160343i \(0.948740\pi\)
\(602\) 2.34364 5.74747i 0.0955195 0.234249i
\(603\) −16.0089 18.6203i −0.651934 0.758276i
\(604\) 7.05605 7.21341i 0.287107 0.293510i
\(605\) 42.2580 10.2517i 1.71803 0.416790i
\(606\) −0.927975 1.21719i −0.0376964 0.0494448i
\(607\) −17.2190 33.4002i −0.698898 1.35567i −0.924398 0.381430i \(-0.875432\pi\)
0.225500 0.974243i \(1.57240\pi\)
\(608\) −47.9002 + 3.03459i −1.94261 + 0.123069i
\(609\) 0.837157 2.76271i 0.0339233 0.111951i
\(610\) 14.5478 5.71653i 0.589023 0.231456i
\(611\) 6.53755 + 7.54474i 0.264481 + 0.305228i
\(612\) 28.5166 + 7.83157i 1.15272 + 0.316572i
\(613\) 14.1915 11.1603i 0.573190 0.450761i −0.289013 0.957325i \(-0.593327\pi\)
0.862202 + 0.506564i \(0.169085\pi\)
\(614\) −30.8847 16.1727i −1.24640 0.652675i
\(615\) 32.3084 + 1.81848i 1.30280 + 0.0733281i
\(616\) −11.2438 50.5563i −0.453027 2.03697i
\(617\) 5.68504 8.84610i 0.228871 0.356130i −0.707757 0.706456i \(-0.750293\pi\)
0.936628 + 0.350326i \(0.113929\pi\)
\(618\) 13.3010 24.8763i 0.535047 1.00067i
\(619\) −1.40200 0.998358i −0.0563510 0.0401274i 0.551534 0.834152i \(-0.314043\pi\)
−0.607885 + 0.794025i \(0.707982\pi\)
\(620\) −7.35386 22.1593i −0.295338 0.889941i
\(621\) 13.9067 + 37.5233i 0.558059 + 1.50576i
\(622\) 27.2367 12.2290i 1.09209 0.490337i
\(623\) 8.88069 + 6.98385i 0.355797 + 0.279802i
\(624\) 2.51664 + 9.79758i 0.100746 + 0.392217i
\(625\) 2.83582 + 19.7235i 0.113433 + 0.788941i
\(626\) 0.134981 21.1354i 0.00539492 0.844739i
\(627\) −82.2515 + 15.1181i −3.28481 + 0.603757i
\(628\) 10.3990 0.859103i 0.414964 0.0342819i
\(629\) 33.9837 1.61884i 1.35502 0.0645475i
\(630\) −0.656125 + 27.7522i −0.0261406 + 1.10567i
\(631\) −5.97722 2.06874i −0.237949 0.0823551i 0.205491 0.978659i \(-0.434121\pi\)
−0.443440 + 0.896304i \(0.646242\pi\)
\(632\) 25.7967 + 2.96302i 1.02614 + 0.117862i
\(633\) −4.94820 36.6574i −0.196673 1.45700i
\(634\) 17.0084 + 3.39089i 0.675489 + 0.134670i
\(635\) 37.0803 + 14.8447i 1.47149 + 0.589094i
\(636\) 6.01691 1.02666i 0.238586 0.0407096i
\(637\) −1.15442 + 4.75859i −0.0457398 + 0.188542i
\(638\) 2.99848 + 2.89583i 0.118711 + 0.114647i
\(639\) −13.4151 8.95208i −0.530694 0.354139i
\(640\) −18.7786 13.2904i −0.742290 0.525350i
\(641\) 5.57700 + 3.21988i 0.220278 + 0.127178i 0.606079 0.795404i \(-0.292742\pi\)
−0.385801 + 0.922582i \(0.626075\pi\)
\(642\) 12.8828 6.39861i 0.508444 0.252533i
\(643\) 13.3989 + 6.11909i 0.528402 + 0.241313i 0.661708 0.749762i \(-0.269832\pi\)
−0.133306 + 0.991075i \(0.542559\pi\)
\(644\) −37.0386 32.9317i −1.45952 1.29769i
\(645\) −2.16444 4.28886i −0.0852247 0.168874i
\(646\) 10.8213 + 58.1418i 0.425757 + 2.28756i
\(647\) −3.43100 + 1.37356i −0.134886 + 0.0540004i −0.438124 0.898915i \(-0.644357\pi\)
0.303237 + 0.952915i \(0.401933\pi\)
\(648\) 21.4979 13.6324i 0.844516 0.535531i
\(649\) 14.9148 + 20.9449i 0.585457 + 0.822159i
\(650\) 1.55258 0.883212i 0.0608973 0.0346424i
\(651\) −29.2177 + 13.0399i −1.14513 + 0.511072i
\(652\) −6.57923 7.07897i −0.257662 0.277234i
\(653\) −12.6537 + 24.5448i −0.495179 + 0.960513i 0.500329 + 0.865835i \(0.333212\pi\)
−0.995508 + 0.0946780i \(0.969818\pi\)
\(654\) −21.4101 + 3.79404i −0.837200 + 0.148359i
\(655\) 3.15693 + 10.7515i 0.123352 + 0.420097i
\(656\) 31.3474 + 19.1824i 1.22391 + 0.748947i
\(657\) −19.7311 28.7453i −0.769782 1.12146i
\(658\) −1.67892 + 31.0687i −0.0654510 + 1.21119i
\(659\) −28.0120 2.67482i −1.09119 0.104196i −0.466089 0.884738i \(-0.654337\pi\)
−0.625104 + 0.780542i \(0.714943\pi\)
\(660\) −35.2286 19.1266i −1.37127 0.744501i
\(661\) −29.6486 8.70561i −1.15320 0.338609i −0.351411 0.936221i \(-0.614298\pi\)
−0.801785 + 0.597612i \(0.796116\pi\)
\(662\) −15.6847 46.2719i −0.609602 1.79841i
\(663\) 11.6110 4.53254i 0.450935 0.176029i
\(664\) −15.1670 + 8.37343i −0.588595 + 0.324952i
\(665\) −50.4987 + 23.0620i −1.95825 + 0.894305i
\(666\) 18.6426 22.5862i 0.722385 0.875197i
\(667\) 3.94846 + 0.567703i 0.152885 + 0.0219815i
\(668\) −22.1155 + 37.1996i −0.855673 + 1.43930i
\(669\) 0.492990 + 0.202315i 0.0190601 + 0.00782194i
\(670\) 20.8462 10.9323i 0.805361 0.422353i
\(671\) 30.9310 1.19408
\(672\) −15.5709 + 27.4136i −0.600659 + 1.05750i
\(673\) 3.17845 22.1066i 0.122520 0.852148i −0.832164 0.554529i \(-0.812899\pi\)
0.954685 0.297619i \(-0.0961924\pi\)
\(674\) −2.18359 24.5216i −0.0841089 0.944539i
\(675\) −3.31979 3.03051i −0.127779 0.116644i
\(676\) −16.9130 13.6537i −0.650499 0.525142i
\(677\) 23.2576 + 24.3919i 0.893863 + 0.937457i 0.998370 0.0570675i \(-0.0181750\pi\)
−0.104507 + 0.994524i \(0.533327\pi\)
\(678\) −24.6996 1.54852i −0.948582 0.0594704i
\(679\) −7.23836 + 24.6516i −0.277783 + 0.946042i
\(680\) −13.4699 + 24.9428i −0.516548 + 0.956514i
\(681\) −0.390116 + 0.740956i −0.0149493 + 0.0283935i
\(682\) 2.49307 46.1347i 0.0954644 1.76659i
\(683\) −16.6703 3.21294i −0.637871 0.122940i −0.139945 0.990159i \(-0.544693\pi\)
−0.497926 + 0.867220i \(0.665905\pi\)
\(684\) 43.3033 + 26.7659i 1.65574 + 1.02342i
\(685\) 14.4794 4.25155i 0.553231 0.162443i
\(686\) 14.0156 8.88133i 0.535119 0.339091i
\(687\) −2.16887 + 1.84682i −0.0827475 + 0.0704607i
\(688\) 0.139362 5.45422i 0.00531311 0.207940i
\(689\) 1.77536 1.86194i 0.0676357 0.0709343i
\(690\) −38.0471 + 4.88859i −1.44843 + 0.186105i
\(691\) −5.37916 + 3.83048i −0.204633 + 0.145718i −0.677779 0.735265i \(-0.737058\pi\)
0.473146 + 0.880984i \(0.343118\pi\)
\(692\) −33.3594 24.4032i −1.26813 0.927670i
\(693\) −21.2933 + 50.6385i −0.808867 + 1.92360i
\(694\) −3.11827 16.7542i −0.118368 0.635982i
\(695\) −1.86970 + 2.15774i −0.0709216 + 0.0818479i
\(696\) −0.170937 2.53175i −0.00647934 0.0959658i
\(697\) 18.8116 41.1917i 0.712541 1.56025i
\(698\) 9.47153 + 8.31363i 0.358503 + 0.314675i
\(699\) −4.87064 + 3.76277i −0.184224 + 0.142321i
\(700\) 5.39292 + 1.38147i 0.203833 + 0.0522148i
\(701\) 1.73978 + 9.02683i 0.0657106 + 0.340939i 0.999873 0.0159081i \(-0.00506392\pi\)
−0.934163 + 0.356847i \(0.883852\pi\)
\(702\) 3.83444 10.0207i 0.144721 0.378206i
\(703\) 56.9168 + 13.8079i 2.14666 + 0.520774i
\(704\) −24.9674 38.0685i −0.940996 1.43476i
\(705\) 17.2848 + 16.7681i 0.650985 + 0.631522i
\(706\) 9.99287 + 1.99224i 0.376087 + 0.0749789i
\(707\) −1.00531 1.74124i −0.0378084 0.0654861i
\(708\) 1.82087 15.5458i 0.0684324 0.584246i
\(709\) −13.4006 + 38.7185i −0.503270 + 1.45410i 0.352038 + 0.935986i \(0.385489\pi\)
−0.855309 + 0.518119i \(0.826633\pi\)
\(710\) 11.2567 10.5968i 0.422455 0.397690i
\(711\) −20.5002 18.3922i −0.768819 0.689762i
\(712\) 9.47335 + 2.97992i 0.355029 + 0.111677i
\(713\) −23.9032 37.1941i −0.895182 1.39293i
\(714\) 35.8437 + 14.9778i 1.34142 + 0.560530i
\(715\) −16.7236 + 2.40449i −0.625427 + 0.0899229i
\(716\) 4.82987 30.7949i 0.180501 1.15086i
\(717\) −19.0488 + 10.7798i −0.711390 + 0.402580i
\(718\) −32.9399 + 14.7896i −1.22930 + 0.551944i
\(719\) −0.285267 + 5.98848i −0.0106386 + 0.223333i 0.987287 + 0.158950i \(0.0508109\pi\)
−0.997925 + 0.0643827i \(0.979492\pi\)
\(720\) 8.09159 + 23.0208i 0.301556 + 0.857935i
\(721\) 21.4947 30.1850i 0.800503 1.12415i
\(722\) −7.59950 + 74.5509i −0.282824 + 2.77450i
\(723\) 30.8488 21.5688i 1.14728 0.802151i
\(724\) 25.1958 + 36.3565i 0.936394 + 1.35118i
\(725\) −0.423431 + 0.146551i −0.0157258 + 0.00544276i
\(726\) −33.7037 40.0968i −1.25086 1.48813i
\(727\) 18.5892 + 23.6381i 0.689437 + 0.876690i 0.997201 0.0747726i \(-0.0238231\pi\)
−0.307764 + 0.951463i \(0.599581\pi\)
\(728\) 1.63877 + 13.1867i 0.0607369 + 0.488733i
\(729\) −26.9638 1.39675i −0.998661 0.0517314i
\(730\) 31.1060 12.2231i 1.15129 0.452396i
\(731\) −6.69237 + 0.639044i −0.247526 + 0.0236359i
\(732\) −13.9626 12.6318i −0.516073 0.466883i
\(733\) −36.0483 + 18.5842i −1.33148 + 0.686423i −0.969345 0.245704i \(-0.920981\pi\)
−0.362131 + 0.932127i \(0.617951\pi\)
\(734\) 2.17554 3.71318i 0.0803006 0.137056i
\(735\) −1.78179 + 11.6767i −0.0657223 + 0.430702i
\(736\) −40.6935 15.5560i −1.49998 0.573402i
\(737\) 46.3061 5.04799i 1.70571 0.185945i
\(738\) −15.3504 35.8304i −0.565055 1.31894i
\(739\) 25.7650 6.25053i 0.947782 0.229930i 0.268063 0.963401i \(-0.413617\pi\)
0.679720 + 0.733472i \(0.262101\pi\)
\(740\) 17.0704 + 22.2868i 0.627520 + 0.819280i
\(741\) 21.3764 1.85528i 0.785283 0.0681555i
\(742\) 8.01140 0.330365i 0.294108 0.0121281i
\(743\) 18.9524 1.80973i 0.695294 0.0663926i 0.258576 0.965991i \(-0.416747\pi\)
0.436718 + 0.899598i \(0.356141\pi\)
\(744\) −19.9661 + 19.8076i −0.731995 + 0.726184i
\(745\) 1.57349 + 1.81590i 0.0576480 + 0.0665294i
\(746\) 15.1646 19.0319i 0.555215 0.696808i
\(747\) 18.2598 + 2.06204i 0.668091 + 0.0754459i
\(748\) −42.8603 + 36.1906i −1.56713 + 1.32326i
\(749\) 17.8564 6.18016i 0.652459 0.225818i
\(750\) 24.0483