Properties

Label 576.2.bl.a.347.11
Level $576$
Weight $2$
Character 576.347
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 347.11
Character \(\chi\) \(=\) 576.347
Dual form 576.2.bl.a.83.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33110 - 0.477678i) q^{2} +(0.934604 - 1.45826i) q^{3} +(1.54365 + 1.27167i) q^{4} +(1.57302 - 1.79369i) q^{5} +(-1.94063 + 1.49464i) q^{6} +(-0.379595 - 2.88331i) q^{7} +(-1.44729 - 2.43009i) q^{8} +(-1.25303 - 2.72579i) q^{9} +O(q^{10})\) \(q+(-1.33110 - 0.477678i) q^{2} +(0.934604 - 1.45826i) q^{3} +(1.54365 + 1.27167i) q^{4} +(1.57302 - 1.79369i) q^{5} +(-1.94063 + 1.49464i) q^{6} +(-0.379595 - 2.88331i) q^{7} +(-1.44729 - 2.43009i) q^{8} +(-1.25303 - 2.72579i) q^{9} +(-2.95066 + 1.63618i) q^{10} +(4.15967 + 2.05132i) q^{11} +(3.29713 - 1.06252i) q^{12} +(-4.81605 - 1.63483i) q^{13} +(-0.872016 + 4.01929i) q^{14} +(-1.14551 - 3.97026i) q^{15} +(0.765691 + 3.92603i) q^{16} +(0.291199 + 0.291199i) q^{17} +(0.365856 + 4.22684i) q^{18} +(-1.13368 - 5.69939i) q^{19} +(4.70918 - 0.768450i) q^{20} +(-4.55938 - 2.14121i) q^{21} +(-4.55706 - 4.71750i) q^{22} +(-1.09286 + 8.30109i) q^{23} +(-4.89634 - 0.160644i) q^{24} +(-0.0902886 - 0.685810i) q^{25} +(5.62971 + 4.47664i) q^{26} +(-5.14599 - 0.720293i) q^{27} +(3.08067 - 4.93353i) q^{28} +(5.91340 + 0.387584i) q^{29} +(-0.371727 + 5.83200i) q^{30} +(-1.09637 + 1.89897i) q^{31} +(0.856170 - 5.59169i) q^{32} +(6.87901 - 4.14870i) q^{33} +(-0.248515 - 0.526714i) q^{34} +(-5.76888 - 3.85464i) q^{35} +(1.53208 - 5.80110i) q^{36} +(7.87307 + 1.56605i) q^{37} +(-1.21344 + 8.12798i) q^{38} +(-6.88510 + 5.49512i) q^{39} +(-6.63546 - 1.22659i) q^{40} +(8.57820 + 1.12934i) q^{41} +(5.04617 + 5.02807i) q^{42} +(0.566293 + 0.279265i) q^{43} +(3.81245 + 8.45627i) q^{44} +(-6.86026 - 2.04018i) q^{45} +(5.41995 - 10.5275i) q^{46} +(-12.3323 - 3.30442i) q^{47} +(6.44078 + 2.55271i) q^{48} +(-1.40790 + 0.377246i) q^{49} +(-0.207414 + 0.956009i) q^{50} +(0.696799 - 0.152487i) q^{51} +(-5.35531 - 8.64804i) q^{52} +(-5.24476 - 7.84934i) q^{53} +(6.50575 + 3.41691i) q^{54} +(10.2227 - 4.23438i) q^{55} +(-6.45732 + 5.09545i) q^{56} +(-9.37072 - 3.67348i) q^{57} +(-7.68617 - 3.34061i) q^{58} +(5.10921 + 4.48066i) q^{59} +(3.28062 - 7.58540i) q^{60} +(-8.57651 - 0.562134i) q^{61} +(2.36647 - 2.00400i) q^{62} +(-7.38364 + 4.64757i) q^{63} +(-3.81068 + 7.03411i) q^{64} +(-10.5081 + 6.06687i) q^{65} +(-11.1384 + 2.23637i) q^{66} +(-8.63986 + 4.26071i) q^{67} +(0.0791982 + 0.819819i) q^{68} +(11.0837 + 9.35190i) q^{69} +(5.83766 + 7.88657i) q^{70} +(1.92635 - 4.65062i) q^{71} +(-4.81041 + 6.98999i) q^{72} +(-2.14885 - 5.18777i) q^{73} +(-9.73176 - 5.84536i) q^{74} +(-1.08447 - 0.509297i) q^{75} +(5.49776 - 10.2395i) q^{76} +(4.33561 - 12.7723i) q^{77} +(11.7896 - 4.02568i) q^{78} +(-6.60645 - 1.77019i) q^{79} +(8.24653 + 4.80233i) q^{80} +(-5.85983 + 6.83098i) q^{81} +(-10.8790 - 5.60089i) q^{82} +(7.35606 + 8.38798i) q^{83} +(-4.31515 - 9.10331i) q^{84} +(0.980384 - 0.0642577i) q^{85} +(-0.620393 - 0.642234i) q^{86} +(6.09188 - 8.26102i) q^{87} +(-1.03537 - 13.0773i) q^{88} +(3.09356 - 7.46852i) q^{89} +(8.15714 + 5.99268i) q^{90} +(-2.88557 + 14.5067i) q^{91} +(-12.2433 + 11.4242i) q^{92} +(1.74451 + 3.37357i) q^{93} +(14.8370 + 10.2894i) q^{94} +(-12.0062 - 6.93181i) q^{95} +(-7.35394 - 6.47453i) q^{96} +(12.4101 - 7.16499i) q^{97} +(2.05426 + 0.170372i) q^{98} +(0.379278 - 13.9088i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{9}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33110 0.477678i −0.941229 0.337770i
\(3\) 0.934604 1.45826i 0.539594 0.841925i
\(4\) 1.54365 + 1.27167i 0.771823 + 0.635837i
\(5\) 1.57302 1.79369i 0.703478 0.802163i −0.284183 0.958770i \(-0.591722\pi\)
0.987661 + 0.156607i \(0.0500557\pi\)
\(6\) −1.94063 + 1.49464i −0.792258 + 0.610186i
\(7\) −0.379595 2.88331i −0.143473 1.08979i −0.900020 0.435849i \(-0.856448\pi\)
0.756547 0.653940i \(-0.226885\pi\)
\(8\) −1.44729 2.43009i −0.511696 0.859167i
\(9\) −1.25303 2.72579i −0.417677 0.908596i
\(10\) −2.95066 + 1.63618i −0.933080 + 0.517405i
\(11\) 4.15967 + 2.05132i 1.25419 + 0.618497i 0.943298 0.331948i \(-0.107706\pi\)
0.310891 + 0.950446i \(0.399373\pi\)
\(12\) 3.29713 1.06252i 0.951799 0.306724i
\(13\) −4.81605 1.63483i −1.33573 0.453420i −0.439993 0.898001i \(-0.645019\pi\)
−0.895738 + 0.444582i \(0.853352\pi\)
\(14\) −0.872016 + 4.01929i −0.233056 + 1.07420i
\(15\) −1.14551 3.97026i −0.295769 1.02512i
\(16\) 0.765691 + 3.92603i 0.191423 + 0.981508i
\(17\) 0.291199 + 0.291199i 0.0706261 + 0.0706261i 0.741538 0.670911i \(-0.234097\pi\)
−0.670911 + 0.741538i \(0.734097\pi\)
\(18\) 0.365856 + 4.22684i 0.0862332 + 0.996275i
\(19\) −1.13368 5.69939i −0.260084 1.30753i −0.861158 0.508337i \(-0.830261\pi\)
0.601075 0.799193i \(-0.294739\pi\)
\(20\) 4.70918 0.768450i 1.05301 0.171831i
\(21\) −4.55938 2.14121i −0.994938 0.467250i
\(22\) −4.55706 4.71750i −0.971569 1.00577i
\(23\) −1.09286 + 8.30109i −0.227877 + 1.73090i 0.369758 + 0.929128i \(0.379440\pi\)
−0.597635 + 0.801768i \(0.703893\pi\)
\(24\) −4.89634 0.160644i −0.999462 0.0327913i
\(25\) −0.0902886 0.685810i −0.0180577 0.137162i
\(26\) 5.62971 + 4.47664i 1.10408 + 0.877941i
\(27\) −5.14599 0.720293i −0.990346 0.138620i
\(28\) 3.08067 4.93353i 0.582192 0.932350i
\(29\) 5.91340 + 0.387584i 1.09809 + 0.0719726i 0.603658 0.797244i \(-0.293709\pi\)
0.494432 + 0.869216i \(0.335376\pi\)
\(30\) −0.371727 + 5.83200i −0.0678677 + 1.06477i
\(31\) −1.09637 + 1.89897i −0.196914 + 0.341064i −0.947526 0.319678i \(-0.896425\pi\)
0.750613 + 0.660743i \(0.229758\pi\)
\(32\) 0.856170 5.59169i 0.151351 0.988480i
\(33\) 6.87901 4.14870i 1.19748 0.722196i
\(34\) −0.248515 0.526714i −0.0426200 0.0903307i
\(35\) −5.76888 3.85464i −0.975118 0.651553i
\(36\) 1.53208 5.80110i 0.255346 0.966850i
\(37\) 7.87307 + 1.56605i 1.29432 + 0.257457i 0.793754 0.608239i \(-0.208124\pi\)
0.500570 + 0.865696i \(0.333124\pi\)
\(38\) −1.21344 + 8.12798i −0.196845 + 1.31853i
\(39\) −6.88510 + 5.49512i −1.10250 + 0.879923i
\(40\) −6.63546 1.22659i −1.04916 0.193941i
\(41\) 8.57820 + 1.12934i 1.33969 + 0.176374i 0.766075 0.642752i \(-0.222207\pi\)
0.573615 + 0.819125i \(0.305541\pi\)
\(42\) 5.04617 + 5.02807i 0.778642 + 0.775849i
\(43\) 0.566293 + 0.279265i 0.0863588 + 0.0425874i 0.484955 0.874539i \(-0.338836\pi\)
−0.398596 + 0.917126i \(0.630503\pi\)
\(44\) 3.81245 + 8.45627i 0.574749 + 1.27483i
\(45\) −6.86026 2.04018i −1.02267 0.304132i
\(46\) 5.41995 10.5275i 0.799128 1.55220i
\(47\) −12.3323 3.30442i −1.79885 0.482000i −0.805050 0.593207i \(-0.797861\pi\)
−0.993797 + 0.111208i \(0.964528\pi\)
\(48\) 6.44078 + 2.55271i 0.929647 + 0.368452i
\(49\) −1.40790 + 0.377246i −0.201129 + 0.0538923i
\(50\) −0.207414 + 0.956009i −0.0293327 + 0.135200i
\(51\) 0.696799 0.152487i 0.0975714 0.0213525i
\(52\) −5.35531 8.64804i −0.742648 1.19927i
\(53\) −5.24476 7.84934i −0.720424 1.07819i −0.993235 0.116123i \(-0.962953\pi\)
0.272811 0.962068i \(-0.412047\pi\)
\(54\) 6.50575 + 3.41691i 0.885320 + 0.464982i
\(55\) 10.2227 4.23438i 1.37843 0.570964i
\(56\) −6.45732 + 5.09545i −0.862895 + 0.680908i
\(57\) −9.37072 3.67348i −1.24118 0.486564i
\(58\) −7.68617 3.34061i −1.00924 0.438644i
\(59\) 5.10921 + 4.48066i 0.665162 + 0.583332i 0.923908 0.382614i \(-0.124976\pi\)
−0.258746 + 0.965945i \(0.583309\pi\)
\(60\) 3.28062 7.58540i 0.423527 0.979270i
\(61\) −8.57651 0.562134i −1.09811 0.0719739i −0.494442 0.869211i \(-0.664628\pi\)
−0.603667 + 0.797237i \(0.706294\pi\)
\(62\) 2.36647 2.00400i 0.300542 0.254508i
\(63\) −7.38364 + 4.64757i −0.930252 + 0.585538i
\(64\) −3.81068 + 7.03411i −0.476334 + 0.879264i
\(65\) −10.5081 + 6.06687i −1.30337 + 0.752503i
\(66\) −11.1384 + 2.23637i −1.37104 + 0.275279i
\(67\) −8.63986 + 4.26071i −1.05553 + 0.520528i −0.885369 0.464889i \(-0.846094\pi\)
−0.170158 + 0.985417i \(0.554428\pi\)
\(68\) 0.0791982 + 0.819819i 0.00960419 + 0.0994176i
\(69\) 11.0837 + 9.35190i 1.33432 + 1.12584i
\(70\) 5.83766 + 7.88657i 0.697734 + 0.942626i
\(71\) 1.92635 4.65062i 0.228615 0.551926i −0.767394 0.641176i \(-0.778447\pi\)
0.996009 + 0.0892495i \(0.0284469\pi\)
\(72\) −4.81041 + 6.98999i −0.566912 + 0.823779i
\(73\) −2.14885 5.18777i −0.251503 0.607183i 0.746822 0.665024i \(-0.231579\pi\)
−0.998326 + 0.0578405i \(0.981579\pi\)
\(74\) −9.73176 5.84536i −1.13129 0.679509i
\(75\) −1.08447 0.509297i −0.125224 0.0588085i
\(76\) 5.49776 10.2395i 0.630637 1.17455i
\(77\) 4.33561 12.7723i 0.494089 1.45554i
\(78\) 11.7896 4.02568i 1.33491 0.455819i
\(79\) −6.60645 1.77019i −0.743283 0.199162i −0.132746 0.991150i \(-0.542380\pi\)
−0.610537 + 0.791988i \(0.709046\pi\)
\(80\) 8.24653 + 4.80233i 0.921990 + 0.536917i
\(81\) −5.85983 + 6.83098i −0.651093 + 0.758998i
\(82\) −10.8790 5.60089i −1.20138 0.618514i
\(83\) 7.35606 + 8.38798i 0.807432 + 0.920700i 0.998141 0.0609465i \(-0.0194119\pi\)
−0.190709 + 0.981647i \(0.561079\pi\)
\(84\) −4.31515 9.10331i −0.470822 0.993252i
\(85\) 0.980384 0.0642577i 0.106338 0.00696973i
\(86\) −0.620393 0.642234i −0.0668986 0.0692539i
\(87\) 6.09188 8.26102i 0.653118 0.885674i
\(88\) −1.03537 13.0773i −0.110371 1.39404i
\(89\) 3.09356 7.46852i 0.327917 0.791661i −0.670830 0.741611i \(-0.734062\pi\)
0.998747 0.0500500i \(-0.0159381\pi\)
\(90\) 8.15714 + 5.99268i 0.859838 + 0.631684i
\(91\) −2.88557 + 14.5067i −0.302490 + 1.52072i
\(92\) −12.2433 + 11.4242i −1.27645 + 1.19105i
\(93\) 1.74451 + 3.37357i 0.180897 + 0.349823i
\(94\) 14.8370 + 10.2894i 1.53032 + 1.06127i
\(95\) −12.0062 6.93181i −1.23181 0.711188i
\(96\) −7.35394 6.47453i −0.750558 0.660804i
\(97\) 12.4101 7.16499i 1.26006 0.727495i 0.286972 0.957939i \(-0.407351\pi\)
0.973085 + 0.230444i \(0.0740180\pi\)
\(98\) 2.05426 + 0.170372i 0.207511 + 0.0172102i
\(99\) 0.379278 13.9088i 0.0381189 1.39788i
\(100\) 0.732753 1.17347i 0.0732753 0.117347i
\(101\) 10.6604 3.61872i 1.06075 0.360076i 0.264087 0.964499i \(-0.414929\pi\)
0.796664 + 0.604423i \(0.206596\pi\)
\(102\) −1.00035 0.129870i −0.0990492 0.0128591i
\(103\) 2.02016 + 2.63273i 0.199053 + 0.259410i 0.882205 0.470865i \(-0.156058\pi\)
−0.683152 + 0.730276i \(0.739392\pi\)
\(104\) 2.99746 + 14.0695i 0.293925 + 1.37963i
\(105\) −11.0127 + 4.80994i −1.07473 + 0.469402i
\(106\) 3.23184 + 12.9536i 0.313904 + 1.25816i
\(107\) 0.271524 + 0.406365i 0.0262493 + 0.0392848i 0.844362 0.535773i \(-0.179980\pi\)
−0.818113 + 0.575058i \(0.804980\pi\)
\(108\) −7.02761 7.65589i −0.676232 0.736689i
\(109\) 13.4513 2.67563i 1.28840 0.256279i 0.497093 0.867697i \(-0.334401\pi\)
0.791308 + 0.611418i \(0.209401\pi\)
\(110\) −15.6301 + 0.753216i −1.49027 + 0.0718163i
\(111\) 9.64191 10.0173i 0.915169 0.950802i
\(112\) 11.0293 3.69802i 1.04217 0.349430i
\(113\) 0.402951 + 1.50383i 0.0379064 + 0.141469i 0.982286 0.187390i \(-0.0600027\pi\)
−0.944379 + 0.328859i \(0.893336\pi\)
\(114\) 10.7186 + 9.36595i 1.00389 + 0.877201i
\(115\) 13.1705 + 15.0181i 1.22815 + 1.40044i
\(116\) 8.63531 + 8.11821i 0.801769 + 0.753756i
\(117\) 1.57846 + 15.1760i 0.145928 + 1.40302i
\(118\) −4.66055 8.40475i −0.429038 0.773720i
\(119\) 0.729079 0.950154i 0.0668346 0.0871005i
\(120\) −7.99021 + 8.52983i −0.729403 + 0.778663i
\(121\) 6.39857 + 8.33879i 0.581689 + 0.758071i
\(122\) 11.1477 + 4.84507i 1.00926 + 0.438652i
\(123\) 9.66409 11.4537i 0.871382 1.03275i
\(124\) −4.10727 + 1.53711i −0.368844 + 0.138036i
\(125\) 8.54617 + 5.71037i 0.764393 + 0.510751i
\(126\) 12.0484 2.65936i 1.07336 0.236915i
\(127\) 12.4458i 1.10439i −0.833716 0.552193i \(-0.813791\pi\)
0.833716 0.552193i \(-0.186209\pi\)
\(128\) 8.43243 7.54282i 0.745328 0.666698i
\(129\) 0.936499 0.564798i 0.0824541 0.0497277i
\(130\) 16.8854 3.05610i 1.48095 0.268038i
\(131\) 6.95671 + 14.1068i 0.607811 + 1.23252i 0.955523 + 0.294917i \(0.0952920\pi\)
−0.347712 + 0.937601i \(0.613041\pi\)
\(132\) 15.8945 + 2.34373i 1.38344 + 0.203995i
\(133\) −16.0028 + 5.43221i −1.38762 + 0.471032i
\(134\) 13.5358 1.54435i 1.16931 0.133411i
\(135\) −9.38674 + 8.09727i −0.807882 + 0.696902i
\(136\) 0.286189 1.12909i 0.0245405 0.0968187i
\(137\) 6.30930 + 4.84130i 0.539040 + 0.413620i 0.842076 0.539359i \(-0.181333\pi\)
−0.303036 + 0.952979i \(0.598000\pi\)
\(138\) −10.2863 17.7428i −0.875631 1.51036i
\(139\) 5.19350 0.340400i 0.440507 0.0288723i 0.156463 0.987684i \(-0.449991\pi\)
0.284043 + 0.958811i \(0.408324\pi\)
\(140\) −4.00326 13.2863i −0.338337 1.12290i
\(141\) −16.3445 + 14.8953i −1.37645 + 1.25441i
\(142\) −4.78566 + 5.27025i −0.401603 + 0.442270i
\(143\) −16.6796 16.6796i −1.39482 1.39482i
\(144\) 9.74209 7.00654i 0.811841 0.583879i
\(145\) 9.99712 9.99712i 0.830216 0.830216i
\(146\) 0.382239 + 7.93190i 0.0316343 + 0.656448i
\(147\) −0.765708 + 2.40566i −0.0631546 + 0.198415i
\(148\) 10.1617 + 12.4294i 0.835289 + 1.02169i
\(149\) 0.127983 + 1.95264i 0.0104847 + 0.159966i 0.999891 + 0.0147904i \(0.00470811\pi\)
−0.989406 + 0.145176i \(0.953625\pi\)
\(150\) 1.20026 + 1.19595i 0.0980007 + 0.0976491i
\(151\) −5.20507 + 6.78338i −0.423583 + 0.552024i −0.955584 0.294720i \(-0.904774\pi\)
0.532001 + 0.846744i \(0.321440\pi\)
\(152\) −12.2093 + 11.0036i −0.990302 + 0.892513i
\(153\) 0.428866 1.15863i 0.0346717 0.0936695i
\(154\) −11.8722 + 14.9302i −0.956687 + 1.20311i
\(155\) 1.68154 + 4.95366i 0.135065 + 0.397888i
\(156\) −17.6162 0.273076i −1.41042 0.0218636i
\(157\) −7.14935 + 3.52567i −0.570580 + 0.281379i −0.704606 0.709599i \(-0.748876\pi\)
0.134026 + 0.990978i \(0.457210\pi\)
\(158\) 7.94825 + 5.51206i 0.632329 + 0.438516i
\(159\) −16.3481 + 0.312186i −1.29649 + 0.0247579i
\(160\) −8.68298 10.3316i −0.686450 0.816782i
\(161\) 24.3494 1.91900
\(162\) 11.0630 6.29360i 0.869194 0.494472i
\(163\) 1.21771 1.82243i 0.0953784 0.142744i −0.780712 0.624892i \(-0.785143\pi\)
0.876090 + 0.482148i \(0.160143\pi\)
\(164\) 11.8056 + 12.6520i 0.921859 + 0.987954i
\(165\) 3.37936 18.8648i 0.263083 1.46862i
\(166\) −5.78488 14.6791i −0.448994 1.13932i
\(167\) 3.23549 2.48268i 0.250370 0.192116i −0.475950 0.879472i \(-0.657896\pi\)
0.726320 + 0.687357i \(0.241229\pi\)
\(168\) 1.39544 + 14.1787i 0.107661 + 1.09391i
\(169\) 10.2081 + 7.83292i 0.785235 + 0.602532i
\(170\) −1.33568 0.382775i −0.102442 0.0293575i
\(171\) −14.1148 + 10.2317i −1.07938 + 0.782435i
\(172\) 0.519022 + 1.15123i 0.0395751 + 0.0877801i
\(173\) −3.22674 + 2.82977i −0.245324 + 0.215144i −0.773174 0.634194i \(-0.781332\pi\)
0.527849 + 0.849338i \(0.322999\pi\)
\(174\) −12.0550 + 8.08627i −0.913888 + 0.613018i
\(175\) −1.94313 + 0.520660i −0.146887 + 0.0393582i
\(176\) −4.86854 + 17.9017i −0.366980 + 1.34939i
\(177\) 11.3090 3.26290i 0.850039 0.245255i
\(178\) −7.68538 + 8.46361i −0.576044 + 0.634374i
\(179\) 0.293958 + 1.47783i 0.0219715 + 0.110458i 0.990215 0.139552i \(-0.0445661\pi\)
−0.968243 + 0.250010i \(0.919566\pi\)
\(180\) −7.99538 11.8733i −0.595940 0.884986i
\(181\) 0.102733 0.0686443i 0.00763612 0.00510229i −0.551746 0.834012i \(-0.686038\pi\)
0.559382 + 0.828910i \(0.311038\pi\)
\(182\) 10.7705 17.9315i 0.798364 1.32917i
\(183\) −8.83537 + 11.9814i −0.653130 + 0.885689i
\(184\) 21.7541 9.35837i 1.60373 0.689908i
\(185\) 15.1935 11.6584i 1.11705 0.857143i
\(186\) −0.710634 5.32387i −0.0521062 0.390365i
\(187\) 0.613949 + 1.80864i 0.0448964 + 0.132261i
\(188\) −14.8345 20.7835i −1.08192 1.51579i
\(189\) −0.123436 + 15.1109i −0.00897866 + 1.09916i
\(190\) 12.6703 + 14.9620i 0.919201 + 1.08546i
\(191\) −0.492101 0.852344i −0.0356072 0.0616735i 0.847673 0.530520i \(-0.178003\pi\)
−0.883280 + 0.468846i \(0.844670\pi\)
\(192\) 6.69608 + 12.1311i 0.483248 + 0.875484i
\(193\) −2.86907 + 4.96937i −0.206520 + 0.357703i −0.950616 0.310369i \(-0.899547\pi\)
0.744096 + 0.668073i \(0.232881\pi\)
\(194\) −19.9417 + 3.60926i −1.43173 + 0.259130i
\(195\) −0.973882 + 20.9937i −0.0697412 + 1.50339i
\(196\) −2.65303 1.20806i −0.189502 0.0862897i
\(197\) −2.71079 0.539210i −0.193136 0.0384171i 0.0975745 0.995228i \(-0.468892\pi\)
−0.290710 + 0.956811i \(0.593892\pi\)
\(198\) −7.14877 + 18.3327i −0.508041 + 1.30285i
\(199\) 10.2768 + 4.25681i 0.728506 + 0.301757i 0.715938 0.698164i \(-0.245999\pi\)
0.0125681 + 0.999921i \(0.495999\pi\)
\(200\) −1.53591 + 1.21198i −0.108605 + 0.0856998i
\(201\) −1.86164 + 16.5812i −0.131310 + 1.16955i
\(202\) −15.9186 0.275372i −1.12003 0.0193751i
\(203\) −1.12717 17.1973i −0.0791118 1.20701i
\(204\) 1.26953 + 0.650715i 0.0888846 + 0.0455591i
\(205\) 15.5194 13.6102i 1.08392 0.950574i
\(206\) −1.43144 4.46941i −0.0997331 0.311399i
\(207\) 23.9964 7.42261i 1.66786 0.515907i
\(208\) 2.73078 20.1597i 0.189346 1.39783i
\(209\) 6.97556 26.0331i 0.482509 1.80075i
\(210\) 16.9566 1.14199i 1.17011 0.0788050i
\(211\) −4.60044 1.56164i −0.316707 0.107508i 0.158559 0.987349i \(-0.449315\pi\)
−0.475267 + 0.879842i \(0.657648\pi\)
\(212\) 1.88574 18.7862i 0.129513 1.29024i
\(213\) −4.98142 7.15560i −0.341321 0.490293i
\(214\) −0.167314 0.670613i −0.0114374 0.0458422i
\(215\) 1.39171 0.576463i 0.0949135 0.0393145i
\(216\) 5.69738 + 13.5477i 0.387658 + 0.921803i
\(217\) 5.89148 + 2.44033i 0.399940 + 0.165660i
\(218\) −19.1831 2.86387i −1.29924 0.193966i
\(219\) −9.57343 1.71494i −0.646913 0.115885i
\(220\) 21.1650 + 6.46356i 1.42694 + 0.435773i
\(221\) −0.926368 1.87849i −0.0623142 0.126361i
\(222\) −17.6194 + 8.72831i −1.18254 + 0.585806i
\(223\) 9.46953 + 16.4017i 0.634126 + 1.09834i 0.986700 + 0.162555i \(0.0519734\pi\)
−0.352573 + 0.935784i \(0.614693\pi\)
\(224\) −16.4476 0.346028i −1.09895 0.0231199i
\(225\) −1.75624 + 1.10545i −0.117082 + 0.0736965i
\(226\) 0.181981 2.19423i 0.0121052 0.145958i
\(227\) 0.365334 5.57391i 0.0242480 0.369954i −0.968440 0.249246i \(-0.919817\pi\)
0.992688 0.120707i \(-0.0385162\pi\)
\(228\) −9.79361 17.5870i −0.648598 1.16473i
\(229\) 6.69237 7.63118i 0.442244 0.504283i −0.487177 0.873303i \(-0.661973\pi\)
0.929421 + 0.369020i \(0.120307\pi\)
\(230\) −10.3574 26.2818i −0.682947 1.73297i
\(231\) −14.5732 18.2595i −0.958847 1.20139i
\(232\) −7.61656 14.9310i −0.500052 0.980270i
\(233\) 2.49185 + 6.01586i 0.163246 + 0.394112i 0.984243 0.176821i \(-0.0565815\pi\)
−0.820996 + 0.570933i \(0.806582\pi\)
\(234\) 5.14817 20.9548i 0.336546 1.36986i
\(235\) −25.3261 + 16.9223i −1.65209 + 1.10389i
\(236\) 2.18888 + 13.4138i 0.142484 + 0.873164i
\(237\) −8.75581 + 7.97947i −0.568751 + 0.518322i
\(238\) −1.42434 + 0.916484i −0.0923265 + 0.0594068i
\(239\) −4.82455 18.0054i −0.312074 1.16468i −0.926683 0.375844i \(-0.877353\pi\)
0.614609 0.788832i \(-0.289314\pi\)
\(240\) 14.7103 7.53729i 0.949544 0.486530i
\(241\) 3.05759 11.4111i 0.196957 0.735052i −0.794795 0.606878i \(-0.792422\pi\)
0.991752 0.128174i \(-0.0409116\pi\)
\(242\) −4.53388 14.1562i −0.291449 0.909995i
\(243\) 4.48471 + 14.9294i 0.287694 + 0.957722i
\(244\) −12.5242 11.7743i −0.801783 0.753769i
\(245\) −1.53800 + 3.11875i −0.0982592 + 0.199250i
\(246\) −18.3351 + 10.6297i −1.16900 + 0.677726i
\(247\) −3.85767 + 29.3019i −0.245457 + 1.86443i
\(248\) 6.20143 0.0840894i 0.393791 0.00533968i
\(249\) 19.1068 2.88759i 1.21085 0.182993i
\(250\) −8.64808 11.6834i −0.546952 0.738922i
\(251\) −3.75900 + 18.8978i −0.237266 + 1.19282i 0.659979 + 0.751284i \(0.270565\pi\)
−0.897245 + 0.441533i \(0.854435\pi\)
\(252\) −17.3079 2.21539i −1.09030 0.139556i
\(253\) −21.5741 + 32.2880i −1.35636 + 2.02993i
\(254\) −5.94509 + 16.5666i −0.373028 + 1.03948i
\(255\) 0.822566 1.48971i 0.0515111 0.0932891i
\(256\) −14.8274 + 6.01225i −0.926715 + 0.375766i
\(257\) 24.5602 + 14.1799i 1.53202 + 0.884515i 0.999268 + 0.0382465i \(0.0121772\pi\)
0.532757 + 0.846269i \(0.321156\pi\)
\(258\) −1.51636 + 0.304457i −0.0944047 + 0.0189547i
\(259\) 1.52683 23.2950i 0.0948727 1.44748i
\(260\) −23.9359 3.99781i −1.48444 0.247934i
\(261\) −6.35319 16.6043i −0.393252 1.02778i
\(262\) −2.52155 22.1006i −0.155782 1.36538i
\(263\) 10.5191 1.38486i 0.648633 0.0853942i 0.200971 0.979597i \(-0.435590\pi\)
0.447662 + 0.894203i \(0.352257\pi\)
\(264\) −20.0377 10.7122i −1.23323 0.659291i
\(265\) −22.3294 2.93973i −1.37169 0.180586i
\(266\) 23.8961 + 0.413372i 1.46516 + 0.0253455i
\(267\) −7.99977 11.4913i −0.489578 0.703257i
\(268\) −18.7551 4.41006i −1.14565 0.269387i
\(269\) −2.93284 + 0.583379i −0.178819 + 0.0355692i −0.283687 0.958917i \(-0.591558\pi\)
0.104869 + 0.994486i \(0.466558\pi\)
\(270\) 16.3626 6.29442i 0.995794 0.383066i
\(271\) −5.44701 + 5.44701i −0.330882 + 0.330882i −0.852922 0.522039i \(-0.825171\pi\)
0.522039 + 0.852922i \(0.325171\pi\)
\(272\) −0.920288 + 1.36622i −0.0558006 + 0.0828395i
\(273\) 18.4577 + 17.7659i 1.11711 + 1.07524i
\(274\) −6.08572 9.45806i −0.367652 0.571383i
\(275\) 1.03125 3.03796i 0.0621865 0.183196i
\(276\) 5.21680 + 28.5309i 0.314014 + 1.71736i
\(277\) −7.64004 + 15.4925i −0.459045 + 0.930852i 0.537132 + 0.843498i \(0.319508\pi\)
−0.996177 + 0.0873537i \(0.972159\pi\)
\(278\) −7.07566 2.02772i −0.424370 0.121614i
\(279\) 6.54996 + 0.609006i 0.392136 + 0.0364603i
\(280\) −1.01786 + 19.5977i −0.0608286 + 1.17119i
\(281\) −22.9561 + 3.02223i −1.36945 + 0.180291i −0.779120 0.626874i \(-0.784334\pi\)
−0.590325 + 0.807165i \(0.701001\pi\)
\(282\) 28.8713 12.0197i 1.71926 0.715763i
\(283\) 15.7286 + 13.7936i 0.934970 + 0.819946i 0.983875 0.178857i \(-0.0572400\pi\)
−0.0489054 + 0.998803i \(0.515573\pi\)
\(284\) 8.88767 4.72922i 0.527386 0.280628i
\(285\) −21.3294 + 11.0297i −1.26345 + 0.653343i
\(286\) 14.2347 + 30.1697i 0.841717 + 1.78397i
\(287\) 25.1623i 1.48528i
\(288\) −16.3146 + 4.67281i −0.961345 + 0.275348i
\(289\) 16.8304i 0.990024i
\(290\) −18.0826 + 8.53174i −1.06184 + 0.501001i
\(291\) 1.15016 24.7936i 0.0674234 1.45343i
\(292\) 3.28010 10.7407i 0.191953 0.628553i
\(293\) 6.94176 + 6.08776i 0.405542 + 0.355651i 0.837684 0.546155i \(-0.183909\pi\)
−0.432142 + 0.901805i \(0.642242\pi\)
\(294\) 2.16836 2.83640i 0.126462 0.165422i
\(295\) 16.0738 2.11616i 0.935854 0.123207i
\(296\) −7.58901 21.3988i −0.441102 1.24378i
\(297\) −19.9281 13.5523i −1.15634 0.786382i
\(298\) 0.762375 2.66029i 0.0441632 0.154106i
\(299\) 18.8341 38.1918i 1.08920 2.20869i
\(300\) −1.02638 2.16527i −0.0592582 0.125012i
\(301\) 0.590244 1.73880i 0.0340211 0.100223i
\(302\) 10.1687 6.54300i 0.585145 0.376507i
\(303\) 4.68624 18.9277i 0.269217 1.08737i
\(304\) 21.5079 8.81483i 1.23356 0.505565i
\(305\) −14.4993 + 14.4993i −0.830230 + 0.830230i
\(306\) −1.12431 + 1.33739i −0.0642727 + 0.0764534i
\(307\) 4.04751 0.805100i 0.231004 0.0459495i −0.0782309 0.996935i \(-0.524927\pi\)
0.309235 + 0.950986i \(0.399927\pi\)
\(308\) 22.9348 14.2024i 1.30683 0.809259i
\(309\) 5.72725 0.485359i 0.325812 0.0276111i
\(310\) 0.127959 7.39705i 0.00726761 0.420124i
\(311\) −31.9156 4.20177i −1.80977 0.238261i −0.851545 0.524281i \(-0.824334\pi\)
−0.958223 + 0.286021i \(0.907667\pi\)
\(312\) 23.3184 + 8.77835i 1.32014 + 0.496976i
\(313\) −12.9000 + 1.69831i −0.729148 + 0.0959942i −0.485955 0.873984i \(-0.661528\pi\)
−0.243193 + 0.969978i \(0.578195\pi\)
\(314\) 11.2006 1.27792i 0.632088 0.0721174i
\(315\) −3.27835 + 20.5547i −0.184714 + 1.15813i
\(316\) −7.94691 11.1338i −0.447049 0.626325i
\(317\) −0.823970 + 12.5714i −0.0462788 + 0.706077i 0.910181 + 0.414212i \(0.135943\pi\)
−0.956459 + 0.291866i \(0.905724\pi\)
\(318\) 21.9101 + 7.39360i 1.22866 + 0.414613i
\(319\) 23.8027 + 13.7425i 1.33270 + 0.769433i
\(320\) 6.62274 + 17.9000i 0.370222 + 1.00064i
\(321\) 0.846353 0.0161620i 0.0472388 0.000902077i
\(322\) −32.4115 11.6312i −1.80622 0.648182i
\(323\) 1.32953 1.98978i 0.0739770 0.110714i
\(324\) −17.7323 + 3.09283i −0.985128 + 0.171824i
\(325\) −0.686347 + 3.45050i −0.0380717 + 0.191399i
\(326\) −2.49143 + 1.84416i −0.137987 + 0.102139i
\(327\) 8.66989 22.1161i 0.479446 1.22302i
\(328\) −9.67078 22.4803i −0.533980 1.24127i
\(329\) −4.84640 + 36.8121i −0.267191 + 2.02952i
\(330\) −13.5096 + 23.4967i −0.743678 + 1.29345i
\(331\) −10.4276 + 21.1450i −0.573152 + 1.16224i 0.396566 + 0.918006i \(0.370202\pi\)
−0.969717 + 0.244230i \(0.921465\pi\)
\(332\) 0.688384 + 22.3026i 0.0377800 + 1.22401i
\(333\) −5.59647 23.4226i −0.306684 1.28355i
\(334\) −5.49268 + 1.75917i −0.300546 + 0.0962574i
\(335\) −5.94832 + 22.1994i −0.324991 + 1.21288i
\(336\) 4.91537 19.5398i 0.268155 1.06598i
\(337\) −4.35968 16.2706i −0.237487 0.886314i −0.977012 0.213185i \(-0.931616\pi\)
0.739525 0.673129i \(-0.235050\pi\)
\(338\) −9.84631 15.3025i −0.535569 0.832349i
\(339\) 2.56958 + 0.817883i 0.139560 + 0.0444213i
\(340\) 1.59508 + 1.14754i 0.0865054 + 0.0622339i
\(341\) −8.45593 + 5.65007i −0.457914 + 0.305968i
\(342\) 23.6756 6.87703i 1.28023 0.371867i
\(343\) −6.16826 14.8915i −0.333055 0.804066i
\(344\) −0.140954 1.78032i −0.00759974 0.0959884i
\(345\) 34.2094 5.17001i 1.84177 0.278344i
\(346\) 5.64683 2.22536i 0.303575 0.119636i
\(347\) −0.850335 + 0.969621i −0.0456484 + 0.0520520i −0.774213 0.632925i \(-0.781854\pi\)
0.728565 + 0.684977i \(0.240188\pi\)
\(348\) 19.9090 5.00520i 1.06724 0.268307i
\(349\) 1.17051 17.8586i 0.0626561 0.955948i −0.844608 0.535386i \(-0.820166\pi\)
0.907264 0.420562i \(-0.138167\pi\)
\(350\) 2.83520 + 0.235141i 0.151548 + 0.0125688i
\(351\) 23.6058 + 11.8818i 1.25998 + 0.634202i
\(352\) 15.0318 21.5033i 0.801195 1.14613i
\(353\) −5.39054 9.33669i −0.286910 0.496942i 0.686161 0.727450i \(-0.259295\pi\)
−0.973070 + 0.230508i \(0.925961\pi\)
\(354\) −16.6121 1.05884i −0.882921 0.0562767i
\(355\) −5.31157 10.7708i −0.281909 0.571655i
\(356\) 14.2729 7.59475i 0.756461 0.402521i
\(357\) −0.704169 1.95120i −0.0372686 0.103269i
\(358\) 0.314639 2.10755i 0.0166292 0.111388i
\(359\) −14.0915 5.83688i −0.743720 0.308059i −0.0215434 0.999768i \(-0.506858\pi\)
−0.722176 + 0.691709i \(0.756858\pi\)
\(360\) 4.97100 + 19.6238i 0.261995 + 1.03427i
\(361\) −13.6441 + 5.65157i −0.718110 + 0.297451i
\(362\) −0.169538 + 0.0422988i −0.00891074 + 0.00222318i
\(363\) 18.1402 1.53731i 0.952115 0.0806876i
\(364\) −22.9021 + 18.7238i −1.20040 + 0.981392i
\(365\) −12.6854 4.30613i −0.663987 0.225393i
\(366\) 17.4840 11.7279i 0.913903 0.613029i
\(367\) 5.45621 20.3629i 0.284812 1.06293i −0.664165 0.747586i \(-0.731213\pi\)
0.948977 0.315346i \(-0.102121\pi\)
\(368\) −33.4271 + 2.06547i −1.74251 + 0.107670i
\(369\) −7.67039 24.7974i −0.399305 1.29090i
\(370\) −25.7931 + 8.26087i −1.34092 + 0.429462i
\(371\) −20.6412 + 18.1018i −1.07164 + 0.939801i
\(372\) −1.59717 + 7.42605i −0.0828095 + 0.385023i
\(373\) 0.983259 + 15.0016i 0.0509112 + 0.776755i 0.944632 + 0.328132i \(0.106419\pi\)
−0.893721 + 0.448624i \(0.851914\pi\)
\(374\) 0.0467194 2.70074i 0.00241580 0.139652i
\(375\) 16.3145 7.12558i 0.842476 0.367964i
\(376\) 9.81839 + 34.7510i 0.506345 + 1.79215i
\(377\) −27.8456 11.5340i −1.43412 0.594032i
\(378\) 7.38245 20.0551i 0.379712 1.03152i
\(379\) 15.5580 + 3.09468i 0.799162 + 0.158963i 0.577746 0.816216i \(-0.303932\pi\)
0.221416 + 0.975180i \(0.428932\pi\)
\(380\) −9.71840 25.9683i −0.498543 1.33214i
\(381\) −18.1492 11.6319i −0.929811 0.595921i
\(382\) 0.247889 + 1.36962i 0.0126831 + 0.0700759i
\(383\) −5.99419 + 10.3822i −0.306289 + 0.530508i −0.977547 0.210716i \(-0.932421\pi\)
0.671259 + 0.741223i \(0.265754\pi\)
\(384\) −3.11839 19.3462i −0.159135 0.987257i
\(385\) −16.0895 27.8679i −0.819998 1.42028i
\(386\) 6.19278 5.24423i 0.315204 0.266925i
\(387\) 0.0516345 1.89352i 0.00262473 0.0962530i
\(388\) 28.2684 + 4.72142i 1.43511 + 0.239694i
\(389\) 2.82712 + 8.32844i 0.143341 + 0.422269i 0.994763 0.102213i \(-0.0325924\pi\)
−0.851422 + 0.524482i \(0.824259\pi\)
\(390\) 11.3246 27.4795i 0.573442 1.39148i
\(391\) −2.73551 + 2.09903i −0.138341 + 0.106152i
\(392\) 2.95439 + 2.87534i 0.149219 + 0.145227i
\(393\) 27.0731 + 3.03961i 1.36566 + 0.153328i
\(394\) 3.35076 + 2.01263i 0.168809 + 0.101395i
\(395\) −13.5673 + 9.06536i −0.682644 + 0.456128i
\(396\) 18.2729 20.9879i 0.918246 1.05468i
\(397\) 2.72211 + 13.6849i 0.136619 + 0.686828i 0.987008 + 0.160673i \(0.0513666\pi\)
−0.850389 + 0.526154i \(0.823633\pi\)
\(398\) −11.6461 10.5753i −0.583766 0.530090i
\(399\) −7.03470 + 28.4131i −0.352175 + 1.42243i
\(400\) 2.62338 0.879594i 0.131169 0.0439797i
\(401\) −8.87578 + 2.37826i −0.443235 + 0.118765i −0.473532 0.880776i \(-0.657021\pi\)
0.0302971 + 0.999541i \(0.490355\pi\)
\(402\) 10.3985 21.1820i 0.518631 1.05646i
\(403\) 8.38464 7.35313i 0.417669 0.366286i
\(404\) 21.0577 + 7.97054i 1.04766 + 0.396549i
\(405\) 3.03501 + 21.2560i 0.150811 + 1.05622i
\(406\) −6.71439 + 23.4297i −0.333230 + 1.16280i
\(407\) 29.5369 + 22.6645i 1.46409 + 1.12344i
\(408\) −1.37903 1.47259i −0.0682722 0.0729041i
\(409\) −1.75855 + 1.34938i −0.0869546 + 0.0667226i −0.651324 0.758800i \(-0.725786\pi\)
0.564369 + 0.825522i \(0.309119\pi\)
\(410\) −27.1591 + 10.7032i −1.34129 + 0.528592i
\(411\) 12.9566 4.67589i 0.639100 0.230645i
\(412\) −0.229553 + 6.63299i −0.0113093 + 0.326784i
\(413\) 10.9797 16.4323i 0.540275 0.808579i
\(414\) −35.4872 1.58233i −1.74410 0.0777673i
\(415\) 26.6167 1.30656
\(416\) −13.2648 + 25.5301i −0.650360 + 1.25172i
\(417\) 4.35747 7.89159i 0.213386 0.386453i
\(418\) −21.7206 + 31.3206i −1.06239 + 1.53194i
\(419\) −10.1989 + 5.02957i −0.498251 + 0.245710i −0.674009 0.738723i \(-0.735429\pi\)
0.175758 + 0.984433i \(0.443762\pi\)
\(420\) −23.1164 6.57967i −1.12796 0.321055i
\(421\) 8.42748 + 24.8265i 0.410730 + 1.20997i 0.933835 + 0.357703i \(0.116440\pi\)
−0.523105 + 0.852268i \(0.675227\pi\)
\(422\) 5.37767 + 4.27622i 0.261781 + 0.208163i
\(423\) 6.44555 + 37.7557i 0.313393 + 1.83574i
\(424\) −11.4839 + 24.1056i −0.557707 + 1.17067i
\(425\) 0.173415 0.225999i 0.00841187 0.0109626i
\(426\) 3.21269 + 11.9043i 0.155655 + 0.576766i
\(427\) 1.63479 + 24.9421i 0.0791131 + 1.20703i
\(428\) −0.0976260 + 0.972575i −0.00471893 + 0.0470112i
\(429\) −39.9120 + 8.73434i −1.92697 + 0.421698i
\(430\) −2.12786 + 0.102542i −0.102615 + 0.00494501i
\(431\) −11.7011 + 11.7011i −0.563620 + 0.563620i −0.930334 0.366713i \(-0.880483\pi\)
0.366713 + 0.930334i \(0.380483\pi\)
\(432\) −1.11234 20.7548i −0.0535176 0.998567i
\(433\) 4.81140 + 4.81140i 0.231221 + 0.231221i 0.813202 0.581981i \(-0.197722\pi\)
−0.581981 + 0.813202i \(0.697722\pi\)
\(434\) −6.67645 6.06255i −0.320480 0.291012i
\(435\) −5.23502 23.9217i −0.251000 1.14696i
\(436\) 24.1666 + 12.9754i 1.15737 + 0.621411i
\(437\) 48.5501 3.18214i 2.32246 0.152222i
\(438\) 11.9240 + 6.85578i 0.569750 + 0.327582i
\(439\) −0.492635 0.378012i −0.0235122 0.0180415i 0.596938 0.802287i \(-0.296384\pi\)
−0.620451 + 0.784245i \(0.713050\pi\)
\(440\) −25.0852 18.7137i −1.19589 0.892140i
\(441\) 2.79243 + 3.36494i 0.132973 + 0.160235i
\(442\) 0.335774 + 2.94296i 0.0159711 + 0.139982i
\(443\) −23.8312 + 8.08959i −1.13225 + 0.384348i −0.823794 0.566890i \(-0.808146\pi\)
−0.308459 + 0.951238i \(0.599813\pi\)
\(444\) 27.6225 3.20184i 1.31090 0.151953i
\(445\) −8.52996 17.2970i −0.404359 0.819959i
\(446\) −4.77014 26.3557i −0.225872 1.24798i
\(447\) 2.96706 + 1.63831i 0.140337 + 0.0774895i
\(448\) 21.7280 + 8.31724i 1.02655 + 0.392953i
\(449\) 18.9006i 0.891974i −0.895039 0.445987i \(-0.852853\pi\)
0.895039 0.445987i \(-0.147147\pi\)
\(450\) 2.86577 0.632543i 0.135094 0.0298184i
\(451\) 33.3659 + 22.2944i 1.57114 + 1.04980i
\(452\) −1.29037 + 2.83381i −0.0606940 + 0.133291i
\(453\) 5.02723 + 13.9301i 0.236200 + 0.654493i
\(454\) −3.14883 + 7.24492i −0.147782 + 0.340021i
\(455\) 21.4815 + 27.9952i 1.00707 + 1.31244i
\(456\) 4.63531 + 28.0883i 0.217068 + 1.31535i
\(457\) 2.52358 3.28879i 0.118048 0.153843i −0.730592 0.682815i \(-0.760756\pi\)
0.848639 + 0.528972i \(0.177422\pi\)
\(458\) −12.5535 + 6.96106i −0.586584 + 0.325269i
\(459\) −1.28876 1.70825i −0.0601541 0.0797345i
\(460\) 1.23250 + 39.9311i 0.0574656 + 1.86180i
\(461\) −2.22218 2.53392i −0.103497 0.118016i 0.697772 0.716320i \(-0.254175\pi\)
−0.801269 + 0.598304i \(0.795842\pi\)
\(462\) 10.6762 + 31.2665i 0.496703 + 1.45465i
\(463\) 1.81809 + 6.78522i 0.0844940 + 0.315336i 0.995218 0.0976799i \(-0.0311421\pi\)
−0.910724 + 0.413016i \(0.864475\pi\)
\(464\) 3.00616 + 23.5129i 0.139558 + 1.09156i
\(465\) 8.79529 + 2.17759i 0.407872 + 0.100983i
\(466\) −0.443253 9.19800i −0.0205333 0.426089i
\(467\) 30.9381 6.15398i 1.43165 0.284772i 0.582457 0.812861i \(-0.302091\pi\)
0.849189 + 0.528089i \(0.177091\pi\)
\(468\) −16.8624 + 25.4337i −0.779463 + 1.17567i
\(469\) 15.5646 + 23.2940i 0.718706 + 1.07562i
\(470\) 41.7949 10.4276i 1.92786 0.480989i
\(471\) −1.54048 + 13.7207i −0.0709815 + 0.632216i
\(472\) 3.49387 18.9007i 0.160818 0.869974i
\(473\) 1.78273 + 2.32330i 0.0819700 + 0.106825i
\(474\) 15.4665 6.43900i 0.710398 0.295753i
\(475\) −3.80634 + 1.29208i −0.174647 + 0.0592846i
\(476\) 2.33373 0.539552i 0.106966 0.0247303i
\(477\) −14.8238 + 24.1316i −0.678735 + 1.10491i
\(478\) −2.17887 + 26.2716i −0.0996591 + 1.20164i
\(479\) 8.87603 5.12458i 0.405556 0.234148i −0.283322 0.959025i \(-0.591437\pi\)
0.688879 + 0.724877i \(0.258103\pi\)
\(480\) −23.1812 + 3.00610i −1.05807 + 0.137209i
\(481\) −35.3568 20.4133i −1.61213 0.930766i
\(482\) −9.52078 + 13.7287i −0.433659 + 0.625326i
\(483\) 22.7571 35.5078i 1.03548 1.61566i
\(484\) −0.727077 + 21.0090i −0.0330489 + 0.954956i
\(485\) 6.66965 33.5306i 0.302853 1.52255i
\(486\) 1.16187 22.0148i 0.0527034 0.998610i
\(487\) 4.15186 10.0235i 0.188139 0.454208i −0.801462 0.598045i \(-0.795944\pi\)
0.989601 + 0.143838i \(0.0459443\pi\)
\(488\) 11.0467 + 21.6553i 0.500060 + 0.980287i
\(489\) −1.51950 3.47899i −0.0687141 0.157325i
\(490\) 3.53699 3.41670i 0.159785 0.154351i
\(491\) −28.4232 + 1.86295i −1.28272 + 0.0840738i −0.691464 0.722411i \(-0.743034\pi\)
−0.591255 + 0.806485i \(0.701367\pi\)
\(492\) 29.4834 5.39095i 1.32921 0.243043i
\(493\) 1.60911 + 1.83484i 0.0724707 + 0.0826370i
\(494\) 19.1318 37.1610i 0.860781 1.67195i
\(495\) −24.3514 22.5591i −1.09451 1.01396i
\(496\) −8.29488 2.85036i −0.372451 0.127985i
\(497\) −14.1404 3.78891i −0.634283 0.169956i
\(498\) −26.8124 5.28326i −1.20149 0.236748i
\(499\) −9.06022 + 26.6906i −0.405591 + 1.19483i 0.531895 + 0.846810i \(0.321480\pi\)
−0.937486 + 0.348023i \(0.886853\pi\)
\(500\) 5.93054 + 19.6827i 0.265222 + 0.880239i
\(501\) −0.596482 7.03850i −0.0266489 0.314457i
\(502\) 14.0307 23.3592i 0.626219 1.04257i
\(503\) −2.33867 5.64605i −0.104276 0.251745i 0.863127 0.504987i \(-0.168503\pi\)
−0.967403 + 0.253243i \(0.918503\pi\)
\(504\) 21.9803 + 11.2165i 0.979081 + 0.499624i
\(505\) 10.2782 24.8138i 0.457375 1.10420i
\(506\) 44.1406 32.6730i 1.96229 1.45249i
\(507\) 20.9629 7.56530i 0.930995 0.335987i
\(508\) 15.8270 19.2119i 0.702210 0.852392i
\(509\) −19.1791 + 9.45811i −0.850101 + 0.419223i −0.814514 0.580143i \(-0.802997\pi\)
−0.0355863 + 0.999367i \(0.511330\pi\)
\(510\) −1.80652 + 1.59003i −0.0799940 + 0.0704075i
\(511\) −14.1423 + 8.16504i −0.625617 + 0.361200i
\(512\) 22.6087 0.920152i 0.999173 0.0406654i
\(513\) 1.72867 + 30.1456i 0.0763226 + 1.33096i
\(514\) −25.9187 30.6067i −1.14322 1.35000i
\(515\) 7.90007 + 0.517798i 0.348118 + 0.0228169i
\(516\) 2.16386 + 0.319072i 0.0952588 + 0.0140464i
\(517\) −44.5198 39.0428i −1.95798 1.71710i
\(518\) −13.1599 + 30.2785i −0.578211 + 1.33036i
\(519\) 1.11081 + 7.35013i 0.0487594 + 0.322635i
\(520\) 29.9514 + 16.7552i 1.31346 + 0.734762i
\(521\) 6.97296 2.88830i 0.305491 0.126539i −0.224671 0.974435i \(-0.572131\pi\)
0.530163 + 0.847896i \(0.322131\pi\)
\(522\) 0.525198 + 25.1368i 0.0229873 + 1.10021i
\(523\) −17.8240 26.6754i −0.779387 1.16643i −0.982314 0.187241i \(-0.940045\pi\)
0.202927 0.979194i \(-0.434955\pi\)
\(524\) −7.20056 + 30.6226i −0.314558 + 1.33775i
\(525\) −1.05680 + 3.32019i −0.0461226 + 0.144905i
\(526\) −14.6634 3.18134i −0.639356 0.138713i
\(527\) −0.872238 + 0.233716i −0.0379953 + 0.0101808i
\(528\) 21.5551 + 23.8306i 0.938066 + 1.03709i
\(529\) −45.4974 12.1910i −1.97815 0.530043i
\(530\) 28.3184 + 14.5793i 1.23007 + 0.633286i
\(531\) 5.81133 19.5410i 0.252190 0.848008i
\(532\) −31.6106 11.9649i −1.37049 0.518744i
\(533\) −39.4667 19.4628i −1.70949 0.843029i
\(534\) 5.15932 + 19.1174i 0.223266 + 0.827290i
\(535\) 1.15601 + 0.152191i 0.0499786 + 0.00657980i
\(536\) 22.8583 + 14.8291i 0.987329 + 0.640521i
\(537\) 2.42979 + 0.952518i 0.104853 + 0.0411042i
\(538\) 4.18257 + 0.624421i 0.180323 + 0.0269207i
\(539\) −6.63026 1.31884i −0.285585 0.0568065i
\(540\) −24.7869 + 0.562446i −1.06666 + 0.0242038i
\(541\) 2.73360 + 1.82653i 0.117527 + 0.0785287i 0.612944 0.790126i \(-0.289985\pi\)
−0.495418 + 0.868655i \(0.664985\pi\)
\(542\) 9.85243 4.64859i 0.423198 0.199674i
\(543\) −0.00408594 0.213967i −0.000175344 0.00918221i
\(544\) 1.87761 1.37898i 0.0805019 0.0591232i
\(545\) 16.3600 28.3363i 0.700784 1.21379i
\(546\) −16.0826 32.4651i −0.688271 1.38938i
\(547\) 31.9455 + 2.09382i 1.36589 + 0.0895253i 0.730631 0.682772i \(-0.239226\pi\)
0.635261 + 0.772298i \(0.280893\pi\)
\(548\) 3.58278 + 15.4966i 0.153049 + 0.661983i
\(549\) 9.21436 + 24.0821i 0.393259 + 1.02780i
\(550\) −2.82386 + 3.55121i −0.120410 + 0.151424i
\(551\) −4.49490 34.1421i −0.191489 1.45450i
\(552\) 6.68453 40.4694i 0.284513 1.72249i
\(553\) −2.59624 + 19.7204i −0.110403 + 0.838596i
\(554\) 17.5701 16.9725i 0.746480 0.721093i
\(555\) −2.80102 33.0521i −0.118897 1.40298i
\(556\) 8.44980 + 6.07898i 0.358351 + 0.257806i
\(557\) −0.907617 4.56290i −0.0384570 0.193336i 0.956781 0.290809i \(-0.0939243\pi\)
−0.995238 + 0.0974723i \(0.968924\pi\)
\(558\) −8.42773 3.93942i −0.356774 0.166769i
\(559\) −2.27074 2.27074i −0.0960422 0.0960422i
\(560\) 10.7163 25.6002i 0.452845 1.08181i
\(561\) 3.21126 + 0.795063i 0.135579 + 0.0335676i
\(562\) 32.0005 + 6.94275i 1.34986 + 0.292862i
\(563\) 11.7351 + 3.98352i 0.494575 + 0.167886i 0.557573 0.830128i \(-0.311733\pi\)
−0.0629979 + 0.998014i \(0.520066\pi\)
\(564\) −44.1721 + 2.20822i −1.85998 + 0.0929827i
\(565\) 3.33126 + 1.64280i 0.140147 + 0.0691130i
\(566\) −14.3474 25.8739i −0.603067 1.08756i
\(567\) 21.9202 + 14.3027i 0.920562 + 0.600657i
\(568\) −14.0894 + 2.04961i −0.591178 + 0.0859998i
\(569\) 4.47221 + 33.9698i 0.187485 + 1.42409i 0.783638 + 0.621217i \(0.213362\pi\)
−0.596154 + 0.802870i \(0.703305\pi\)
\(570\) 33.6602 4.49300i 1.40987 0.188191i
\(571\) 21.5131 24.5310i 0.900295 1.02659i −0.0992081 0.995067i \(-0.531631\pi\)
0.999503 0.0315229i \(-0.0100357\pi\)
\(572\) −4.53640 46.9585i −0.189677 1.96343i
\(573\) −1.70286 0.0789943i −0.0711379 0.00330004i
\(574\) −12.0195 + 33.4935i −0.501684 + 1.39799i
\(575\) 5.79164 0.241528
\(576\) 23.9484 + 1.57314i 0.997849 + 0.0655474i
\(577\) −46.1278 −1.92032 −0.960162 0.279442i \(-0.909850\pi\)
−0.960162 + 0.279442i \(0.909850\pi\)
\(578\) −8.03952 + 22.4029i −0.334400 + 0.931839i
\(579\) 4.56518 + 8.82824i 0.189723 + 0.366889i
\(580\) 28.1451 2.71894i 1.16866 0.112898i
\(581\) 21.3928 24.3938i 0.887523 1.01203i
\(582\) −13.3743 + 32.4533i −0.554384 + 1.34523i
\(583\) −5.71496 43.4094i −0.236689 1.79783i
\(584\) −9.49674 + 12.7301i −0.392978 + 0.526777i
\(585\) 29.7040 + 21.0410i 1.22811 + 0.869937i
\(586\) −6.33217 11.4193i −0.261580 0.471728i
\(587\) 25.8912 + 12.7681i 1.06864 + 0.526997i 0.889551 0.456835i \(-0.151017\pi\)
0.179093 + 0.983832i \(0.442684\pi\)
\(588\) −4.24119 + 2.73975i −0.174904 + 0.112986i
\(589\) 12.0659 + 4.09581i 0.497166 + 0.168765i
\(590\) −22.4067 4.86130i −0.922468 0.200137i
\(591\) −3.31982 + 3.44908i −0.136559 + 0.141876i
\(592\) −0.120028 + 32.1090i −0.00493313 + 1.31967i
\(593\) −4.07635 4.07635i −0.167395 0.167395i 0.618438 0.785834i \(-0.287766\pi\)
−0.785834 + 0.618438i \(0.787766\pi\)
\(594\) 20.0526 + 27.5586i 0.822768 + 1.13074i
\(595\) −0.557424 2.80236i −0.0228521 0.114885i
\(596\) −2.28556 + 3.17693i −0.0936201 + 0.130132i
\(597\) 15.8123 11.0079i 0.647154 0.450521i
\(598\) −43.3134 + 41.8404i −1.77122 + 1.71098i
\(599\) −4.35238 + 33.0596i −0.177834 + 1.35078i 0.636901 + 0.770946i \(0.280216\pi\)
−0.814734 + 0.579835i \(0.803117\pi\)
\(600\) 0.331913 + 3.37247i 0.0135503 + 0.137680i
\(601\) −5.15988 39.1932i −0.210476 1.59872i −0.691740 0.722147i \(-0.743156\pi\)
0.481264 0.876576i \(-0.340178\pi\)
\(602\) −1.61626 + 2.03257i −0.0658739 + 0.0828415i
\(603\) 22.4398 + 18.2116i 0.913819 + 0.741635i
\(604\) −16.6610 + 3.85199i −0.677928 + 0.156735i
\(605\) 25.0223 + 1.64005i 1.01730 + 0.0666775i
\(606\) −15.2792 + 22.9561i −0.620675 + 0.932529i
\(607\) 10.7975 18.7018i 0.438257 0.759084i −0.559298 0.828967i \(-0.688929\pi\)
0.997555 + 0.0698829i \(0.0222626\pi\)
\(608\) −32.8398 + 1.45953i −1.33183 + 0.0591918i
\(609\) −26.1315 14.4289i −1.05890 0.584690i
\(610\) 26.2261 12.3740i 1.06186 0.501010i
\(611\) 53.9906 + 36.0754i 2.18423 + 1.45945i
\(612\) 2.13541 1.24313i 0.0863190 0.0502507i
\(613\) 15.0591 + 2.99544i 0.608231 + 0.120985i 0.489590 0.871953i \(-0.337146\pi\)
0.118640 + 0.992937i \(0.462146\pi\)
\(614\) −5.77222 0.861741i −0.232948 0.0347770i
\(615\) −5.34260 35.3514i −0.215435 1.42551i
\(616\) −37.3127 + 7.94936i −1.50337 + 0.320289i
\(617\) −8.55030 1.12567i −0.344222 0.0453177i −0.0435666 0.999051i \(-0.513872\pi\)
−0.300655 + 0.953733i \(0.597205\pi\)
\(618\) −7.85538 2.08972i −0.315990 0.0840610i
\(619\) −18.6006 9.17281i −0.747622 0.368686i 0.0282299 0.999601i \(-0.491013\pi\)
−0.775852 + 0.630915i \(0.782680\pi\)
\(620\) −3.70374 + 9.78508i −0.148746 + 0.392978i
\(621\) 11.6030 41.9301i 0.465614 1.68260i
\(622\) 40.4757 + 20.8384i 1.62293 + 0.835543i
\(623\) −22.7083 6.08468i −0.909791 0.243778i
\(624\) −26.8459 22.8235i −1.07469 0.913673i
\(625\) 27.0268 7.24180i 1.08107 0.289672i
\(626\) 17.9824 + 3.90141i 0.718719 + 0.155932i
\(627\) −31.4436 34.5028i −1.25574 1.37791i
\(628\) −15.5196 3.64925i −0.619298 0.145621i
\(629\) 1.83660 + 2.74866i 0.0732299 + 0.109596i
\(630\) 14.1824 25.7943i 0.565038 1.02767i
\(631\) −25.9712 + 10.7576i −1.03390 + 0.428254i −0.834117 0.551587i \(-0.814022\pi\)
−0.199779 + 0.979841i \(0.564022\pi\)
\(632\) 5.25975 + 18.6162i 0.209222 + 0.740515i
\(633\) −6.57686 + 5.24911i −0.261407 + 0.208633i
\(634\) 7.10185 16.3401i 0.282050 0.648949i
\(635\) −22.3239 19.5776i −0.885898 0.776911i
\(636\) −25.6328 20.3076i −1.01640 0.805249i
\(637\) 7.39725 + 0.484841i 0.293090 + 0.0192101i
\(638\) −25.1193 29.6627i −0.994482 1.17436i
\(639\) −15.0904 + 0.576544i −0.596965 + 0.0228077i
\(640\) −0.265072 26.9902i −0.0104779 1.06688i
\(641\) 2.38780 1.37860i 0.0943124 0.0544513i −0.452102 0.891966i \(-0.649326\pi\)
0.546414 + 0.837515i \(0.315992\pi\)
\(642\) −1.13430 0.382771i −0.0447672 0.0151068i
\(643\) −10.4730 + 5.16469i −0.413013 + 0.203675i −0.636911 0.770937i \(-0.719788\pi\)
0.223898 + 0.974612i \(0.428122\pi\)
\(644\) 37.5869 + 30.9646i 1.48113 + 1.22017i
\(645\) 0.460062 2.56823i 0.0181149 0.101124i
\(646\) −2.72021 + 2.01351i −0.107025 + 0.0792204i
\(647\) 0.924974 2.23308i 0.0363645 0.0877916i −0.904654 0.426147i \(-0.859871\pi\)
0.941018 + 0.338355i \(0.109871\pi\)
\(648\) 25.0808 + 4.35347i 0.985267 + 0.171021i
\(649\) 12.0614 + 29.1187i 0.473450 + 1.14301i
\(650\) 2.56182 4.26510i 0.100483 0.167291i
\(651\) 9.06483 6.31055i 0.355279 0.247330i
\(652\) 4.19725 1.26466i 0.164377 0.0495279i
\(653\) 6.41204 18.8893i 0.250923 0.739194i −0.746361 0.665541i \(-0.768201\pi\)
0.997284 0.0736531i \(-0.0234658\pi\)
\(654\) −22.1049 + 25.2973i −0.864369 + 0.989203i
\(655\) 36.2463 + 9.71217i 1.41626 + 0.379486i
\(656\) 2.13442 + 34.5430i 0.0833350 + 1.34868i
\(657\) −11.4482 + 12.3577i −0.446637 + 0.482121i
\(658\) 24.0354 46.6855i 0.936997 1.81999i
\(659\) −16.7846 19.1391i −0.653833 0.745554i 0.326000 0.945370i \(-0.394299\pi\)
−0.979834 + 0.199816i \(0.935966\pi\)
\(660\) 29.2064 24.8231i 1.13686 0.966240i
\(661\) 23.7254 1.55504i 0.922810 0.0604842i 0.403414 0.915018i \(-0.367823\pi\)
0.519396 + 0.854533i \(0.326157\pi\)
\(662\) 23.9807 23.1651i 0.932035 0.900337i
\(663\) −3.60511 0.404760i −0.140011 0.0157196i
\(664\) 9.73716 30.0158i 0.377875 1.16484i
\(665\) −15.4290 + 37.2490i −0.598312 + 1.44445i
\(666\) −3.73903 + 33.8511i −0.144884 + 1.31170i
\(667\) −9.67988 + 48.6640i −0.374806 + 1.88428i
\(668\) 8.15162 + 0.282109i 0.315395 + 0.0109151i
\(669\) 32.7682 + 1.52009i 1.26689 + 0.0587702i
\(670\) 18.5220 26.7082i 0.715567 1.03183i
\(671\) −34.5223 19.9315i −1.33272 0.769446i
\(672\) −15.8766 + 23.6614i −0.612452 + 0.912758i
\(673\) −10.0080 + 5.77814i −0.385781 + 0.222731i −0.680331 0.732905i \(-0.738164\pi\)
0.294549 + 0.955636i \(0.404830\pi\)
\(674\) −1.96893 + 23.7402i −0.0758402 + 0.914440i
\(675\) −0.0293599 + 3.59420i −0.00113006 + 0.138341i
\(676\) 5.79672 + 25.0726i 0.222951 + 0.964330i
\(677\) −10.5747 + 3.58964i −0.406420 + 0.137961i −0.517161 0.855888i \(-0.673011\pi\)
0.110741 + 0.993849i \(0.464678\pi\)
\(678\) −3.02967 2.31611i −0.116354 0.0889498i
\(679\) −25.3697 33.0624i −0.973600 1.26882i
\(680\) −1.57506 2.28942i −0.0604007 0.0877953i
\(681\) −7.78676 5.74215i −0.298389 0.220040i
\(682\) 13.9546 3.48159i 0.534349 0.133317i
\(683\) 19.3997 + 29.0338i 0.742311 + 1.11095i 0.989857 + 0.142070i \(0.0453759\pi\)
−0.247546 + 0.968876i \(0.579624\pi\)
\(684\) −34.7996 2.15532i −1.33060 0.0824108i
\(685\) 18.6085 3.70146i 0.710993 0.141425i
\(686\) 1.09722 + 22.7685i 0.0418919 + 0.869306i
\(687\) −4.87351 16.8913i −0.185936 0.644445i
\(688\) −0.662796 + 2.43711i −0.0252689 + 0.0929140i
\(689\) 12.4267 + 46.3771i 0.473420 + 1.76683i
\(690\) −48.0057 9.45928i −1.82754 0.360109i
\(691\) −28.8800 32.9313i −1.09865 1.25277i −0.965144 0.261718i \(-0.915711\pi\)
−0.133503 0.991048i \(-0.542622\pi\)
\(692\) −8.57949 + 0.264812i −0.326143 + 0.0100666i
\(693\) −40.2472 + 4.18611i −1.52887 + 0.159017i
\(694\) 1.59505 0.884475i 0.0605472 0.0335742i
\(695\) 7.55892 9.85098i 0.286726 0.373669i
\(696\) −28.8918 2.84770i −1.09514 0.107942i
\(697\) 2.16910 + 2.82683i 0.0821605 + 0.107074i
\(698\) −10.0887 + 23.2124i −0.381864 + 0.878603i
\(699\) 11.1016 + 1.98869i 0.419900 + 0.0752191i
\(700\) −3.66161 1.66731i −0.138396 0.0630185i
\(701\) −29.1875 19.5025i −1.10240 0.736598i −0.135249 0.990812i \(-0.543183\pi\)
−0.967148 + 0.254214i \(0.918183\pi\)
\(702\) −25.7459 27.0918i −0.971718 1.02251i
\(703\) 46.6471i 1.75933i
\(704\) −30.2804 + 21.4427i −1.14124 + 0.808152i
\(705\) 1.00727 + 52.7476i 0.0379361 + 1.98659i
\(706\) 2.71541 + 15.0030i 0.102196 + 0.564645i
\(707\) −14.4805 29.3636i −0.544597 1.10433i
\(708\) 21.6065 + 9.34464i 0.812022 + 0.351193i
\(709\) −9.83192 + 3.33749i −0.369246 + 0.125342i −0.499894 0.866087i \(-0.666628\pi\)
0.130648 + 0.991429i \(0.458294\pi\)
\(710\) 1.92525 + 16.8742i 0.0722532 + 0.633278i
\(711\) 3.45291 + 20.2259i 0.129494 + 0.758529i
\(712\) −22.6265 + 3.29151i −0.847963 + 0.123355i
\(713\) −14.5653 11.1763i −0.545475 0.418558i
\(714\) 0.00527108 + 2.93361i 0.000197265 + 0.109788i
\(715\) −56.1555 + 3.68063i −2.10010 + 0.137648i
\(716\) −1.42555 + 2.65506i −0.0532752 + 0.0992244i
\(717\) −30.7656 9.79254i −1.14896 0.365709i
\(718\) 15.9690 + 14.5007i 0.595957 + 0.541160i
\(719\) 20.0508 + 20.0508i 0.747768 + 0.747768i 0.974060 0.226292i \(-0.0726602\pi\)
−0.226292 + 0.974060i \(0.572660\pi\)
\(720\) 2.75698 28.4958i 0.102746 1.06197i
\(721\) 6.82413 6.82413i 0.254144 0.254144i
\(722\) 20.8613 1.00531i 0.776376 0.0374136i
\(723\) −13.7827 15.1236i −0.512582 0.562452i
\(724\) 0.245877 + 0.0246809i 0.00913796 + 0.000917259i
\(725\) −0.268103 4.09046i −0.00995709 0.151916i
\(726\) −24.8808 6.61889i −0.923412 0.245650i
\(727\) 7.63093 9.94482i 0.283015 0.368833i −0.630114 0.776503i \(-0.716992\pi\)
0.913129 + 0.407670i \(0.133659\pi\)
\(728\) 39.4289 13.9833i 1.46133 0.518256i
\(729\) 25.9624 + 7.41323i 0.961569 + 0.274564i
\(730\) 14.8286 + 11.7914i 0.548832 + 0.436421i
\(731\) 0.0835823 + 0.246225i 0.00309140 + 0.00910697i
\(732\) −28.8751 + 7.25930i −1.06725 + 0.268312i
\(733\) −12.6681 + 6.24720i −0.467906 + 0.230746i −0.660929 0.750449i \(-0.729838\pi\)
0.193023 + 0.981194i \(0.438171\pi\)
\(734\) −16.9897 + 24.4987i −0.627099 + 0.904262i
\(735\) 3.11053 + 5.15760i 0.114733 + 0.190241i
\(736\) 45.4814 + 13.2181i 1.67647 + 0.487224i
\(737\) −44.6791 −1.64578
\(738\) −1.63515 + 36.6718i −0.0601908 + 1.34991i
\(739\) −27.9709 + 41.8614i −1.02893 + 1.53990i −0.200583 + 0.979677i \(0.564284\pi\)
−0.828343 + 0.560221i \(0.810716\pi\)
\(740\) 38.2791 + 1.32476i 1.40717 + 0.0486990i
\(741\) 39.1243 + 33.0111i 1.43727 + 1.21269i
\(742\) 36.1223 14.2355i 1.32609 0.522601i
\(743\) −6.26904 + 4.81040i −0.229989 + 0.176477i −0.717327 0.696737i \(-0.754635\pi\)
0.487338 + 0.873213i \(0.337968\pi\)
\(744\) 5.67325 9.12187i 0.207992 0.334424i
\(745\) 3.70374 + 2.84198i 0.135695 + 0.104122i
\(746\) 5.85714 20.4383i 0.214445 0.748301i
\(747\) 13.6465 30.5614i 0.499299 1.11818i
\(748\) −1.35227 + 3.57264i −0.0494441 + 0.130629i
\(749\) 1.06861 0.937143i 0.0390460 0.0342425i
\(750\) −25.1199 + 1.69178i −0.917250 + 0.0617751i
\(751\) −25.6026 + 6.86021i −0.934254 + 0.250333i −0.693668 0.720295i \(-0.744006\pi\)
−0.240586 + 0.970628i \(0.577340\pi\)
\(752\) 3.53056 50.9470i 0.128746 1.85785i
\(753\) 24.0446 + 23.1435i 0.876236 + 0.843397i
\(754\) 31.5556 + 28.6541i 1.14919 + 1.04352i
\(755\) 3.97958 + 20.0067i 0.144832 + 0.728118i
\(756\) −19.4067 + 23.1689i −0.705814 + 0.842645i
\(757\) −36.0676 + 24.0996i −1.31090 + 0.875916i −0.997285 0.0736341i \(-0.976540\pi\)
−0.313616 + 0.949550i \(0.601540\pi\)
\(758\) −19.2310 11.5511i −0.698501 0.419553i
\(759\) 26.9209 + 61.6372i 0.977167 + 2.23729i
\(760\) 0.531657 + 39.2086i 0.0192852 + 1.42225i
\(761\) −17.0172 + 13.0577i −0.616872 + 0.473343i −0.869308 0.494271i \(-0.835435\pi\)
0.252436 + 0.967614i \(0.418768\pi\)
\(762\) 18.6021 + 24.1527i 0.673881 + 0.874960i
\(763\) −12.8207 37.7686i −0.464141 1.36732i
\(764\) 0.324274 1.94151i 0.0117318 0.0702414i
\(765\) −1.40360 2.59180i −0.0507474 0.0937067i
\(766\) 12.9382 10.9565i 0.467477 0.395874i
\(767\) −17.2811 29.9317i −0.623984 1.08077i
\(768\) −5.09038 + 27.2413i −0.183683 + 0.982986i
\(769\) −5.45975 + 9.45656i −0.196884 + 0.341012i −0.947516 0.319707i \(-0.896415\pi\)
0.750633 + 0.660720i \(0.229749\pi\)
\(770\) 8.10486 + 44.7805i 0.292079 + 1.61378i
\(771\) 43.6320 &minus