Properties

Label 588.2.x.b.55.7
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.7
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.b.139.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08805 - 0.903405i) q^{2} +(0.900969 + 0.433884i) q^{3} +(0.367718 + 1.96591i) q^{4} +(1.27172 - 2.64076i) q^{5} +(-0.588329 - 1.28603i) q^{6} +(-0.874558 - 2.49703i) q^{7} +(1.37591 - 2.47121i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-1.08805 - 0.903405i) q^{2} +(0.900969 + 0.433884i) q^{3} +(0.367718 + 1.96591i) q^{4} +(1.27172 - 2.64076i) q^{5} +(-0.588329 - 1.28603i) q^{6} +(-0.874558 - 2.49703i) q^{7} +(1.37591 - 2.47121i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-3.76938 + 1.72441i) q^{10} +(-1.95132 - 1.55612i) q^{11} +(-0.521672 + 1.93077i) q^{12} +(-3.49717 - 2.78890i) q^{13} +(-1.30426 + 3.50698i) q^{14} +(2.29157 - 1.82746i) q^{15} +(-3.72957 + 1.44580i) q^{16} +(5.34571 + 1.22012i) q^{17} +(0.0279209 - 1.41394i) q^{18} -7.28045 q^{19} +(5.65913 + 1.52903i) q^{20} +(0.295470 - 2.62920i) q^{21} +(0.717326 + 3.45598i) q^{22} +(-3.25083 + 0.741980i) q^{23} +(2.31187 - 1.62949i) q^{24} +(-2.23890 - 2.80749i) q^{25} +(1.28560 + 6.19384i) q^{26} +(0.222521 + 0.974928i) q^{27} +(4.58733 - 2.63750i) q^{28} +(-1.00322 + 4.39538i) q^{29} +(-4.14429 - 0.0818368i) q^{30} +6.47786 q^{31} +(5.36411 + 1.79621i) q^{32} +(-1.08290 - 2.24867i) q^{33} +(-4.71414 - 6.15690i) q^{34} +(-7.70626 - 0.866030i) q^{35} +(-1.30774 + 1.51322i) q^{36} +(1.08965 - 4.77409i) q^{37} +(7.92152 + 6.57720i) q^{38} +(-1.94079 - 4.03008i) q^{39} +(-4.77609 - 6.77616i) q^{40} +(2.30273 - 4.78166i) q^{41} +(-2.69672 + 2.59378i) q^{42} +(-1.48288 - 3.07923i) q^{43} +(2.34166 - 4.40832i) q^{44} +(2.85754 - 0.652215i) q^{45} +(4.20738 + 2.12950i) q^{46} +(6.44969 - 8.08765i) q^{47} +(-3.98753 - 0.315581i) q^{48} +(-5.47030 + 4.36759i) q^{49} +(-0.100261 + 5.07733i) q^{50} +(4.28692 + 3.41871i) q^{51} +(4.19675 - 7.90064i) q^{52} +(-0.947901 - 4.15302i) q^{53} +(0.638640 - 1.26180i) q^{54} +(-6.59090 + 3.17401i) q^{55} +(-7.37399 - 1.27448i) q^{56} +(-6.55946 - 3.15887i) q^{57} +(5.06236 - 3.87610i) q^{58} +(-0.703091 + 0.338591i) q^{59} +(4.43527 + 3.83302i) q^{60} +(-3.66617 - 0.836780i) q^{61} +(-7.04825 - 5.85213i) q^{62} +(1.40698 - 2.24063i) q^{63} +(-4.21373 - 6.80033i) q^{64} +(-11.8123 + 5.68849i) q^{65} +(-0.853204 + 3.42496i) q^{66} +14.6844i q^{67} +(-0.432934 + 10.9578i) q^{68} +(-3.25083 - 0.741980i) q^{69} +(7.60244 + 7.90416i) q^{70} +(13.1266 - 2.99607i) q^{71} +(2.78994 - 0.465040i) q^{72} +(3.46197 - 2.76083i) q^{73} +(-5.49854 + 4.21006i) q^{74} +(-0.799054 - 3.50088i) q^{75} +(-2.67715 - 14.3127i) q^{76} +(-2.17914 + 6.23342i) q^{77} +(-1.52912 + 6.13826i) q^{78} -4.35536i q^{79} +(-0.924975 + 11.6876i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-6.82527 + 3.12240i) q^{82} +(4.48263 + 5.62105i) q^{83} +(5.27741 - 0.385938i) q^{84} +(10.0203 - 12.5651i) q^{85} +(-1.16834 + 4.69001i) q^{86} +(-2.81095 + 3.52482i) q^{87} +(-6.53035 + 2.68102i) q^{88} +(-9.07749 + 7.23906i) q^{89} +(-3.69837 - 1.87187i) q^{90} +(-3.90549 + 11.1716i) q^{91} +(-2.65405 - 6.11798i) q^{92} +(5.83635 + 2.81064i) q^{93} +(-14.3240 + 2.97311i) q^{94} +(-9.25873 + 19.2259i) q^{95} +(4.05355 + 3.94573i) q^{96} -17.2322i q^{97} +(9.89768 + 0.189723i) q^{98} -2.49583i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08805 0.903405i −0.769370 0.638804i
\(3\) 0.900969 + 0.433884i 0.520175 + 0.250503i
\(4\) 0.367718 + 1.96591i 0.183859 + 0.982953i
\(5\) 1.27172 2.64076i 0.568733 1.18099i −0.396121 0.918198i \(-0.629644\pi\)
0.964854 0.262787i \(-0.0846417\pi\)
\(6\) −0.588329 1.28603i −0.240184 0.525019i
\(7\) −0.874558 2.49703i −0.330552 0.943788i
\(8\) 1.37591 2.47121i 0.486459 0.873704i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −3.76938 + 1.72441i −1.19198 + 0.545305i
\(11\) −1.95132 1.55612i −0.588345 0.469189i 0.283500 0.958972i \(-0.408505\pi\)
−0.871844 + 0.489783i \(0.837076\pi\)
\(12\) −0.521672 + 1.93077i −0.150594 + 0.557364i
\(13\) −3.49717 2.78890i −0.969942 0.773503i 0.00407202 0.999992i \(-0.498704\pi\)
−0.974014 + 0.226489i \(0.927275\pi\)
\(14\) −1.30426 + 3.50698i −0.348579 + 0.937279i
\(15\) 2.29157 1.82746i 0.591680 0.471849i
\(16\) −3.72957 + 1.44580i −0.932392 + 0.361449i
\(17\) 5.34571 + 1.22012i 1.29652 + 0.295923i 0.814463 0.580215i \(-0.197031\pi\)
0.482060 + 0.876138i \(0.339889\pi\)
\(18\) 0.0279209 1.41394i 0.00658101 0.333268i
\(19\) −7.28045 −1.67025 −0.835125 0.550060i \(-0.814605\pi\)
−0.835125 + 0.550060i \(0.814605\pi\)
\(20\) 5.65913 + 1.52903i 1.26542 + 0.341902i
\(21\) 0.295470 2.62920i 0.0644769 0.573739i
\(22\) 0.717326 + 3.45598i 0.152935 + 0.736817i
\(23\) −3.25083 + 0.741980i −0.677844 + 0.154714i −0.547564 0.836764i \(-0.684445\pi\)
−0.130280 + 0.991477i \(0.541588\pi\)
\(24\) 2.31187 1.62949i 0.471909 0.332619i
\(25\) −2.23890 2.80749i −0.447780 0.561498i
\(26\) 1.28560 + 6.19384i 0.252127 + 1.21471i
\(27\) 0.222521 + 0.974928i 0.0428242 + 0.187625i
\(28\) 4.58733 2.63750i 0.866924 0.498441i
\(29\) −1.00322 + 4.39538i −0.186293 + 0.816202i 0.792256 + 0.610188i \(0.208906\pi\)
−0.978549 + 0.206013i \(0.933951\pi\)
\(30\) −4.14429 0.0818368i −0.756640 0.0149413i
\(31\) 6.47786 1.16346 0.581729 0.813383i \(-0.302377\pi\)
0.581729 + 0.813383i \(0.302377\pi\)
\(32\) 5.36411 + 1.79621i 0.948249 + 0.317528i
\(33\) −1.08290 2.24867i −0.188509 0.391442i
\(34\) −4.71414 6.15690i −0.808469 1.05590i
\(35\) −7.70626 0.866030i −1.30260 0.146386i
\(36\) −1.30774 + 1.51322i −0.217956 + 0.252203i
\(37\) 1.08965 4.77409i 0.179138 0.784855i −0.802891 0.596126i \(-0.796706\pi\)
0.982029 0.188729i \(-0.0604369\pi\)
\(38\) 7.92152 + 6.57720i 1.28504 + 1.06696i
\(39\) −1.94079 4.03008i −0.310774 0.645330i
\(40\) −4.77609 6.77616i −0.755166 1.07140i
\(41\) 2.30273 4.78166i 0.359626 0.746770i −0.640144 0.768255i \(-0.721125\pi\)
0.999769 + 0.0214851i \(0.00683946\pi\)
\(42\) −2.69672 + 2.59378i −0.416113 + 0.400229i
\(43\) −1.48288 3.07923i −0.226137 0.469579i 0.756770 0.653682i \(-0.226776\pi\)
−0.982907 + 0.184103i \(0.941062\pi\)
\(44\) 2.34166 4.40832i 0.353018 0.664580i
\(45\) 2.85754 0.652215i 0.425977 0.0972264i
\(46\) 4.20738 + 2.12950i 0.620345 + 0.313978i
\(47\) 6.44969 8.08765i 0.940783 1.17971i −0.0427694 0.999085i \(-0.513618\pi\)
0.983553 0.180620i \(-0.0578105\pi\)
\(48\) −3.98753 0.315581i −0.575551 0.0455501i
\(49\) −5.47030 + 4.36759i −0.781471 + 0.623942i
\(50\) −0.100261 + 5.07733i −0.0141791 + 0.718043i
\(51\) 4.28692 + 3.41871i 0.600289 + 0.478715i
\(52\) 4.19675 7.90064i 0.581984 1.09562i
\(53\) −0.947901 4.15302i −0.130204 0.570462i −0.997372 0.0724463i \(-0.976919\pi\)
0.867168 0.498016i \(-0.165938\pi\)
\(54\) 0.638640 1.26180i 0.0869080 0.171709i
\(55\) −6.59090 + 3.17401i −0.888716 + 0.427983i
\(56\) −7.37399 1.27448i −0.985391 0.170309i
\(57\) −6.55946 3.15887i −0.868822 0.418402i
\(58\) 5.06236 3.87610i 0.664721 0.508956i
\(59\) −0.703091 + 0.338591i −0.0915347 + 0.0440808i −0.479091 0.877765i \(-0.659034\pi\)
0.387556 + 0.921846i \(0.373319\pi\)
\(60\) 4.43527 + 3.83302i 0.572591 + 0.494840i
\(61\) −3.66617 0.836780i −0.469405 0.107139i −0.0187261 0.999825i \(-0.505961\pi\)
−0.450679 + 0.892686i \(0.648818\pi\)
\(62\) −7.04825 5.85213i −0.895129 0.743221i
\(63\) 1.40698 2.24063i 0.177262 0.282293i
\(64\) −4.21373 6.80033i −0.526716 0.850041i
\(65\) −11.8123 + 5.68849i −1.46513 + 0.705571i
\(66\) −0.853204 + 3.42496i −0.105022 + 0.421584i
\(67\) 14.6844i 1.79399i 0.442045 + 0.896993i \(0.354253\pi\)
−0.442045 + 0.896993i \(0.645747\pi\)
\(68\) −0.432934 + 10.9578i −0.0525010 + 1.32883i
\(69\) −3.25083 0.741980i −0.391354 0.0893239i
\(70\) 7.60244 + 7.90416i 0.908665 + 0.944728i
\(71\) 13.1266 2.99607i 1.55785 0.355568i 0.645100 0.764098i \(-0.276816\pi\)
0.912745 + 0.408530i \(0.133958\pi\)
\(72\) 2.78994 0.465040i 0.328797 0.0548055i
\(73\) 3.46197 2.76083i 0.405193 0.323131i −0.399596 0.916691i \(-0.630850\pi\)
0.804789 + 0.593561i \(0.202278\pi\)
\(74\) −5.49854 + 4.21006i −0.639192 + 0.489410i
\(75\) −0.799054 3.50088i −0.0922668 0.404247i
\(76\) −2.67715 14.3127i −0.307090 1.64178i
\(77\) −2.17914 + 6.23342i −0.248337 + 0.710364i
\(78\) −1.52912 + 6.13826i −0.173139 + 0.695021i
\(79\) 4.35536i 0.490017i −0.969521 0.245008i \(-0.921209\pi\)
0.969521 0.245008i \(-0.0787907\pi\)
\(80\) −0.924975 + 11.6876i −0.103415 + 1.30671i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −6.82527 + 3.12240i −0.753725 + 0.344812i
\(83\) 4.48263 + 5.62105i 0.492033 + 0.616990i 0.964411 0.264406i \(-0.0851759\pi\)
−0.472378 + 0.881396i \(0.656604\pi\)
\(84\) 5.27741 0.385938i 0.575813 0.0421093i
\(85\) 10.0203 12.5651i 1.08686 1.36287i
\(86\) −1.16834 + 4.69001i −0.125986 + 0.505737i
\(87\) −2.81095 + 3.52482i −0.301366 + 0.377901i
\(88\) −6.53035 + 2.68102i −0.696138 + 0.285798i
\(89\) −9.07749 + 7.23906i −0.962212 + 0.767338i −0.972571 0.232608i \(-0.925274\pi\)
0.0103586 + 0.999946i \(0.496703\pi\)
\(90\) −3.69837 1.87187i −0.389842 0.197313i
\(91\) −3.90549 + 11.1716i −0.409406 + 1.17110i
\(92\) −2.65405 6.11798i −0.276704 0.637844i
\(93\) 5.83635 + 2.81064i 0.605201 + 0.291449i
\(94\) −14.3240 + 2.97311i −1.47741 + 0.306653i
\(95\) −9.25873 + 19.2259i −0.949926 + 1.97254i
\(96\) 4.05355 + 3.94573i 0.413713 + 0.402709i
\(97\) 17.2322i 1.74966i −0.484426 0.874832i \(-0.660971\pi\)
0.484426 0.874832i \(-0.339029\pi\)
\(98\) 9.89768 + 0.189723i 0.999816 + 0.0191649i
\(99\) 2.49583i 0.250840i
\(100\) 4.69598 5.43383i 0.469598 0.543383i
\(101\) 4.93220 10.2418i 0.490773 1.01910i −0.497651 0.867378i \(-0.665804\pi\)
0.988423 0.151722i \(-0.0484819\pi\)
\(102\) −1.57592 7.59256i −0.156039 0.751776i
\(103\) 6.73290 + 3.24239i 0.663412 + 0.319483i 0.735114 0.677944i \(-0.237129\pi\)
−0.0717015 + 0.997426i \(0.522843\pi\)
\(104\) −11.7038 + 4.80495i −1.14765 + 0.471164i
\(105\) −6.56734 4.12389i −0.640907 0.402450i
\(106\) −2.72050 + 5.37505i −0.264238 + 0.522071i
\(107\) 7.36488 5.87329i 0.711990 0.567793i −0.199111 0.979977i \(-0.563805\pi\)
0.911101 + 0.412184i \(0.135234\pi\)
\(108\) −1.83479 + 0.795953i −0.176553 + 0.0765907i
\(109\) 1.58427 1.98662i 0.151746 0.190283i −0.700148 0.713998i \(-0.746883\pi\)
0.851894 + 0.523714i \(0.175454\pi\)
\(110\) 10.0387 + 2.50076i 0.957149 + 0.238438i
\(111\) 3.05314 3.82852i 0.289792 0.363387i
\(112\) 6.87192 + 8.04840i 0.649335 + 0.760502i
\(113\) 6.06945 + 7.61085i 0.570966 + 0.715969i 0.980542 0.196307i \(-0.0628949\pi\)
−0.409576 + 0.912276i \(0.634324\pi\)
\(114\) 4.28330 + 9.36287i 0.401168 + 0.876913i
\(115\) −2.17476 + 9.52826i −0.202798 + 0.888515i
\(116\) −9.00980 0.355970i −0.836539 0.0330510i
\(117\) 4.47305i 0.413534i
\(118\) 1.07089 + 0.266772i 0.0985830 + 0.0245583i
\(119\) −1.62845 14.4154i −0.149280 1.32146i
\(120\) −1.36305 8.17737i −0.124428 0.746489i
\(121\) −1.06161 4.65122i −0.0965100 0.422838i
\(122\) 3.23304 + 4.22250i 0.292706 + 0.382287i
\(123\) 4.14937 3.30901i 0.374136 0.298364i
\(124\) 2.38202 + 12.7349i 0.213912 + 1.14362i
\(125\) 4.02652 0.919026i 0.360143 0.0822002i
\(126\) −3.55506 + 1.16685i −0.316710 + 0.103951i
\(127\) 0.682949 + 0.155879i 0.0606019 + 0.0138320i 0.252714 0.967541i \(-0.418677\pi\)
−0.192112 + 0.981373i \(0.561534\pi\)
\(128\) −1.55870 + 11.2058i −0.137771 + 0.990464i
\(129\) 3.41769i 0.300911i
\(130\) 17.9914 + 4.48189i 1.57795 + 0.393088i
\(131\) 9.22237 4.44126i 0.805762 0.388035i 0.0147928 0.999891i \(-0.495291\pi\)
0.790969 + 0.611856i \(0.209577\pi\)
\(132\) 4.02246 2.95575i 0.350110 0.257265i
\(133\) 6.36718 + 18.1795i 0.552104 + 1.57636i
\(134\) 13.2660 15.9774i 1.14601 1.38024i
\(135\) 2.85754 + 0.652215i 0.245938 + 0.0561337i
\(136\) 10.3704 11.5316i 0.889254 0.988823i
\(137\) 7.59347 3.65682i 0.648754 0.312423i −0.0804108 0.996762i \(-0.525623\pi\)
0.729164 + 0.684338i \(0.239909\pi\)
\(138\) 2.86676 + 3.74413i 0.244035 + 0.318721i
\(139\) 7.45733 + 3.59126i 0.632522 + 0.304607i 0.722535 0.691334i \(-0.242977\pi\)
−0.0900132 + 0.995941i \(0.528691\pi\)
\(140\) −1.13119 15.4682i −0.0956033 1.30730i
\(141\) 9.32007 4.48831i 0.784891 0.377984i
\(142\) −16.9891 8.59879i −1.42570 0.721595i
\(143\) 2.48422 + 10.8841i 0.207741 + 0.910172i
\(144\) −3.45572 2.01445i −0.287976 0.167871i
\(145\) 10.3313 + 8.23897i 0.857972 + 0.684210i
\(146\) −6.26096 0.123634i −0.518160 0.0102321i
\(147\) −6.82359 + 1.56159i −0.562801 + 0.128798i
\(148\) 9.78609 + 0.386640i 0.804412 + 0.0317816i
\(149\) 1.32204 1.65779i 0.108306 0.135811i −0.724724 0.689039i \(-0.758033\pi\)
0.833030 + 0.553228i \(0.186604\pi\)
\(150\) −2.29330 + 4.53102i −0.187247 + 0.369956i
\(151\) −3.07067 + 0.700861i −0.249888 + 0.0570353i −0.345630 0.938371i \(-0.612335\pi\)
0.0957421 + 0.995406i \(0.469478\pi\)
\(152\) −10.0173 + 17.9915i −0.812508 + 1.45930i
\(153\) 2.37906 + 4.94017i 0.192336 + 0.399389i
\(154\) 8.00233 4.81364i 0.644846 0.387894i
\(155\) 8.23805 17.1065i 0.661696 1.37403i
\(156\) 7.20910 5.29733i 0.577190 0.424126i
\(157\) 10.1007 + 20.9743i 0.806124 + 1.67393i 0.736576 + 0.676355i \(0.236442\pi\)
0.0695484 + 0.997579i \(0.477844\pi\)
\(158\) −3.93466 + 4.73887i −0.313025 + 0.377004i
\(159\) 0.947901 4.15302i 0.0751734 0.329356i
\(160\) 11.5650 11.8811i 0.914296 0.939280i
\(161\) 4.69578 + 7.46850i 0.370080 + 0.588600i
\(162\) 1.12287 0.859746i 0.0882210 0.0675481i
\(163\) 3.61608 + 7.50887i 0.283233 + 0.588140i 0.993243 0.116052i \(-0.0370238\pi\)
−0.710010 + 0.704192i \(0.751310\pi\)
\(164\) 10.2470 + 2.76864i 0.800160 + 0.216195i
\(165\) −7.31534 −0.569499
\(166\) 0.200739 10.1656i 0.0155804 0.789006i
\(167\) −2.15137 + 9.42579i −0.166478 + 0.729389i 0.820908 + 0.571060i \(0.193468\pi\)
−0.987386 + 0.158329i \(0.949389\pi\)
\(168\) −6.09076 4.34772i −0.469912 0.335434i
\(169\) 1.55947 + 6.83250i 0.119960 + 0.525577i
\(170\) −22.2540 + 4.61906i −1.70680 + 0.354266i
\(171\) −4.53929 5.69209i −0.347128 0.435285i
\(172\) 5.50820 4.04749i 0.419996 0.308618i
\(173\) 15.1049 3.44759i 1.14840 0.262116i 0.394371 0.918952i \(-0.370963\pi\)
0.754034 + 0.656836i \(0.228106\pi\)
\(174\) 6.24281 1.29576i 0.473266 0.0982316i
\(175\) −5.05233 + 8.04591i −0.381921 + 0.608213i
\(176\) 9.52741 + 2.98246i 0.718156 + 0.224811i
\(177\) −0.780373 −0.0586564
\(178\) 16.4166 + 0.324176i 1.23048 + 0.0242980i
\(179\) −5.64571 1.28860i −0.421980 0.0963142i 0.00625745 0.999980i \(-0.498008\pi\)
−0.428237 + 0.903666i \(0.640865\pi\)
\(180\) 2.33296 + 5.37782i 0.173889 + 0.400839i
\(181\) −19.8543 + 15.8332i −1.47576 + 1.17688i −0.531771 + 0.846888i \(0.678473\pi\)
−0.943985 + 0.329987i \(0.892955\pi\)
\(182\) 14.3419 8.62705i 1.06309 0.639480i
\(183\) −2.94004 2.34461i −0.217334 0.173318i
\(184\) −2.63927 + 9.05437i −0.194569 + 0.667497i
\(185\) −11.2215 8.94884i −0.825021 0.657932i
\(186\) −3.81111 8.33071i −0.279444 0.610837i
\(187\) −8.53251 10.6994i −0.623959 0.782420i
\(188\) 18.2712 + 9.70550i 1.33257 + 0.707846i
\(189\) 2.23981 1.40827i 0.162923 0.102437i
\(190\) 27.4428 12.5545i 1.99091 0.910796i
\(191\) 4.99919 10.3809i 0.361728 0.751137i −0.638095 0.769958i \(-0.720277\pi\)
0.999823 + 0.0188214i \(0.00599138\pi\)
\(192\) −0.845885 7.95515i −0.0610465 0.574114i
\(193\) −14.4093 6.93913i −1.03720 0.499490i −0.163801 0.986493i \(-0.552376\pi\)
−0.873400 + 0.487004i \(0.838090\pi\)
\(194\) −15.5677 + 18.7495i −1.11769 + 1.34614i
\(195\) −13.1106 −0.938872
\(196\) −10.5978 9.14804i −0.756986 0.653432i
\(197\) −13.8777 −0.988748 −0.494374 0.869249i \(-0.664603\pi\)
−0.494374 + 0.869249i \(0.664603\pi\)
\(198\) −2.25475 + 2.71559i −0.160238 + 0.192989i
\(199\) 11.7453 + 5.65624i 0.832602 + 0.400960i 0.801090 0.598543i \(-0.204254\pi\)
0.0315117 + 0.999503i \(0.489968\pi\)
\(200\) −10.0184 + 1.66992i −0.708409 + 0.118081i
\(201\) −6.37132 + 13.2302i −0.449399 + 0.933186i
\(202\) −14.6190 + 6.68787i −1.02859 + 0.470557i
\(203\) 11.8528 1.33896i 0.831901 0.0939763i
\(204\) −5.14448 + 9.68480i −0.360185 + 0.678072i
\(205\) −9.69880 12.1619i −0.677394 0.849425i
\(206\) −4.39656 9.61043i −0.306323 0.669591i
\(207\) −2.60696 2.07898i −0.181196 0.144499i
\(208\) 17.0751 + 5.34520i 1.18395 + 0.370623i
\(209\) 14.2065 + 11.3293i 0.982683 + 0.783663i
\(210\) 3.42007 + 10.4200i 0.236007 + 0.719047i
\(211\) −10.4070 + 8.29928i −0.716446 + 0.571346i −0.912416 0.409263i \(-0.865786\pi\)
0.195971 + 0.980610i \(0.437214\pi\)
\(212\) 7.81589 3.39062i 0.536798 0.232869i
\(213\) 13.1266 + 2.99607i 0.899422 + 0.205287i
\(214\) −13.3193 0.263015i −0.910491 0.0179794i
\(215\) −10.0173 −0.683177
\(216\) 2.71542 + 0.791521i 0.184761 + 0.0538562i
\(217\) −5.66526 16.1754i −0.384583 1.09806i
\(218\) −3.51850 + 0.730303i −0.238303 + 0.0494623i
\(219\) 4.31701 0.985329i 0.291716 0.0665824i
\(220\) −8.66339 11.7899i −0.584086 0.794878i
\(221\) −15.2921 19.1756i −1.02866 1.28989i
\(222\) −6.78069 + 1.40741i −0.455090 + 0.0944590i
\(223\) 1.91447 + 8.38784i 0.128202 + 0.561691i 0.997702 + 0.0677573i \(0.0215844\pi\)
−0.869499 + 0.493934i \(0.835558\pi\)
\(224\) −0.206043 14.9652i −0.0137668 0.999905i
\(225\) 0.799054 3.50088i 0.0532702 0.233392i
\(226\) 0.271800 13.7642i 0.0180798 0.915580i
\(227\) −13.9706 −0.927260 −0.463630 0.886029i \(-0.653453\pi\)
−0.463630 + 0.886029i \(0.653453\pi\)
\(228\) 3.79801 14.0568i 0.251529 0.930938i
\(229\) 11.6783 + 24.2503i 0.771727 + 1.60251i 0.797856 + 0.602849i \(0.205968\pi\)
−0.0261289 + 0.999659i \(0.508318\pi\)
\(230\) 10.9741 8.40256i 0.723613 0.554048i
\(231\) −4.66792 + 4.67062i −0.307127 + 0.307304i
\(232\) 9.48156 + 8.52682i 0.622495 + 0.559813i
\(233\) −6.37683 + 27.9387i −0.417760 + 1.83033i 0.127216 + 0.991875i \(0.459396\pi\)
−0.544976 + 0.838452i \(0.683461\pi\)
\(234\) −4.04098 + 4.86692i −0.264167 + 0.318160i
\(235\) −13.1553 27.3174i −0.858160 1.78199i
\(236\) −0.924177 1.25771i −0.0601588 0.0818696i
\(237\) 1.88972 3.92405i 0.122751 0.254894i
\(238\) −11.2511 + 17.1559i −0.729303 + 1.11205i
\(239\) −6.24817 12.9745i −0.404160 0.839248i −0.999364 0.0356723i \(-0.988643\pi\)
0.595203 0.803575i \(-0.297072\pi\)
\(240\) −5.90442 + 10.1288i −0.381128 + 0.653811i
\(241\) −11.7181 + 2.67457i −0.754827 + 0.172284i −0.582584 0.812770i \(-0.697958\pi\)
−0.172243 + 0.985055i \(0.555101\pi\)
\(242\) −3.04685 + 6.01983i −0.195859 + 0.386970i
\(243\) −0.623490 + 0.781831i −0.0399969 + 0.0501545i
\(244\) 0.296913 7.51505i 0.0190079 0.481102i
\(245\) 4.57707 + 20.0001i 0.292418 + 1.27776i
\(246\) −7.50411 0.148183i −0.478445 0.00944779i
\(247\) 25.4610 + 20.3045i 1.62005 + 1.29194i
\(248\) 8.91297 16.0081i 0.565974 1.01652i
\(249\) 1.59983 + 7.00933i 0.101385 + 0.444198i
\(250\) −5.21132 2.63763i −0.329593 0.166818i
\(251\) 9.99970 4.81560i 0.631175 0.303958i −0.0908081 0.995868i \(-0.528945\pi\)
0.721983 + 0.691910i \(0.243231\pi\)
\(252\) 4.92223 + 1.94206i 0.310072 + 0.122339i
\(253\) 7.49801 + 3.61085i 0.471396 + 0.227012i
\(254\) −0.602263 0.786584i −0.0377893 0.0493547i
\(255\) 14.4798 6.97309i 0.906759 0.436672i
\(256\) 11.8193 10.7844i 0.738709 0.674025i
\(257\) 17.9243 + 4.09110i 1.11809 + 0.255196i 0.741346 0.671123i \(-0.234188\pi\)
0.376741 + 0.926319i \(0.377045\pi\)
\(258\) −3.08756 + 3.71863i −0.192223 + 0.231512i
\(259\) −12.8740 + 1.45432i −0.799951 + 0.0903671i
\(260\) −15.5266 21.1301i −0.962920 1.31043i
\(261\) −4.06194 + 1.95613i −0.251428 + 0.121081i
\(262\) −14.0467 3.49921i −0.867807 0.216182i
\(263\) 25.4171i 1.56729i −0.621210 0.783644i \(-0.713359\pi\)
0.621210 0.783644i \(-0.286641\pi\)
\(264\) −7.04689 0.417897i −0.433706 0.0257198i
\(265\) −12.1726 2.77832i −0.747758 0.170671i
\(266\) 9.49562 25.5324i 0.582214 1.56549i
\(267\) −11.3194 + 2.58359i −0.692739 + 0.158113i
\(268\) −28.8681 + 5.39972i −1.76340 + 0.329840i
\(269\) −4.55357 + 3.63135i −0.277636 + 0.221407i −0.752401 0.658705i \(-0.771104\pi\)
0.474765 + 0.880113i \(0.342533\pi\)
\(270\) −2.51994 3.29116i −0.153359 0.200294i
\(271\) 2.69161 + 11.7927i 0.163504 + 0.716357i 0.988500 + 0.151219i \(0.0483199\pi\)
−0.824997 + 0.565138i \(0.808823\pi\)
\(272\) −21.7012 + 3.17828i −1.31583 + 0.192711i
\(273\) −8.36590 + 8.37074i −0.506327 + 0.506620i
\(274\) −11.5657 2.88116i −0.698709 0.174057i
\(275\) 8.96231i 0.540448i
\(276\) 0.263276 6.66366i 0.0158473 0.401105i
\(277\) −0.561145 + 2.45854i −0.0337160 + 0.147719i −0.988984 0.148022i \(-0.952709\pi\)
0.955268 + 0.295741i \(0.0955666\pi\)
\(278\) −4.86960 10.6445i −0.292059 0.638413i
\(279\) 4.03888 + 5.06459i 0.241801 + 0.303209i
\(280\) −12.7433 + 17.8522i −0.761557 + 1.06687i
\(281\) 13.5510 16.9924i 0.808385 1.01368i −0.191099 0.981571i \(-0.561205\pi\)
0.999484 0.0321123i \(-0.0102234\pi\)
\(282\) −14.1955 3.53628i −0.845329 0.210583i
\(283\) −17.4901 + 21.9318i −1.03968 + 1.30371i −0.0881619 + 0.996106i \(0.528099\pi\)
−0.951514 + 0.307606i \(0.900472\pi\)
\(284\) 10.7169 + 24.7040i 0.635930 + 1.46591i
\(285\) −16.6837 + 13.3048i −0.988254 + 0.788107i
\(286\) 7.12977 14.0867i 0.421592 0.832965i
\(287\) −13.9538 1.56813i −0.823667 0.0925639i
\(288\) 1.94013 + 5.31374i 0.114324 + 0.313115i
\(289\) 11.7714 + 5.66880i 0.692435 + 0.333459i
\(290\) −3.79792 18.2978i −0.223021 1.07449i
\(291\) 7.47677 15.5257i 0.438296 0.910131i
\(292\) 6.70056 + 5.79070i 0.392121 + 0.338875i
\(293\) 8.92189i 0.521222i 0.965444 + 0.260611i \(0.0839241\pi\)
−0.965444 + 0.260611i \(0.916076\pi\)
\(294\) 8.83518 + 4.46538i 0.515278 + 0.260426i
\(295\) 2.28729i 0.133171i
\(296\) −10.2985 9.26149i −0.598588 0.538313i
\(297\) 1.08290 2.24867i 0.0628362 0.130481i
\(298\) −2.93611 + 0.609421i −0.170084 + 0.0353028i
\(299\) 13.4380 + 6.47141i 0.777141 + 0.374251i
\(300\) 6.58858 2.85820i 0.380392 0.165018i
\(301\) −6.39207 + 6.39577i −0.368433 + 0.368646i
\(302\) 3.97422 + 2.01149i 0.228690 + 0.115748i
\(303\) 8.88752 7.08756i 0.510575 0.407170i
\(304\) 27.1529 10.5261i 1.55733 0.603711i
\(305\) −6.87210 + 8.61734i −0.393495 + 0.493428i
\(306\) 1.87443 7.52443i 0.107154 0.430143i
\(307\) 10.5011 13.1680i 0.599330 0.751536i −0.385943 0.922522i \(-0.626124\pi\)
0.985273 + 0.170987i \(0.0546955\pi\)
\(308\) −13.0556 1.99185i −0.743913 0.113496i
\(309\) 4.65931 + 5.84259i 0.265059 + 0.332373i
\(310\) −24.4175 + 11.1705i −1.38682 + 0.634440i
\(311\) −1.40393 + 6.15101i −0.0796094 + 0.348792i −0.999008 0.0445360i \(-0.985819\pi\)
0.919398 + 0.393328i \(0.128676\pi\)
\(312\) −12.6295 0.748960i −0.715006 0.0424015i
\(313\) 16.1541i 0.913084i −0.889702 0.456542i \(-0.849088\pi\)
0.889702 0.456542i \(-0.150912\pi\)
\(314\) 7.95822 31.9462i 0.449108 1.80283i
\(315\) −4.12768 6.56496i −0.232569 0.369893i
\(316\) 8.56224 1.60155i 0.481663 0.0900940i
\(317\) −1.56187 6.84298i −0.0877231 0.384340i 0.911939 0.410325i \(-0.134585\pi\)
−0.999662 + 0.0259852i \(0.991728\pi\)
\(318\) −4.78323 + 3.66237i −0.268230 + 0.205376i
\(319\) 8.79736 7.01566i 0.492557 0.392801i
\(320\) −23.3168 + 2.47931i −1.30345 + 0.138598i
\(321\) 9.18385 2.09615i 0.512593 0.116996i
\(322\) 1.63782 12.3683i 0.0912724 0.689260i
\(323\) −38.9191 8.88304i −2.16552 0.494266i
\(324\) −1.99844 0.0789567i −0.111024 0.00438648i
\(325\) 16.0624i 0.890979i
\(326\) 2.84907 11.4368i 0.157795 0.633428i
\(327\) 2.28934 1.10249i 0.126601 0.0609678i
\(328\) −8.64812 12.2697i −0.477513 0.677479i
\(329\) −25.8357 9.03193i −1.42437 0.497946i
\(330\) 7.95948 + 6.60872i 0.438155 + 0.363798i
\(331\) −4.57450 1.04410i −0.251437 0.0573890i 0.0949443 0.995483i \(-0.469733\pi\)
−0.346382 + 0.938094i \(0.612590\pi\)
\(332\) −9.40210 + 10.8794i −0.516007 + 0.597084i
\(333\) 4.41192 2.12467i 0.241772 0.116431i
\(334\) 10.8561 8.31219i 0.594020 0.454823i
\(335\) 38.7780 + 18.6745i 2.11867 + 1.02030i
\(336\) 2.69931 + 10.2330i 0.147260 + 0.558254i
\(337\) 1.64264 0.791052i 0.0894801 0.0430914i −0.388608 0.921403i \(-0.627044\pi\)
0.478089 + 0.878312i \(0.341330\pi\)
\(338\) 4.47573 8.84296i 0.243448 0.480994i
\(339\) 2.16616 + 9.49058i 0.117650 + 0.515457i
\(340\) 28.3864 + 15.0786i 1.53947 + 0.817752i
\(341\) −12.6404 10.0804i −0.684514 0.545882i
\(342\) −0.203276 + 10.2941i −0.0109919 + 0.556641i
\(343\) 15.6901 + 9.83977i 0.847185 + 0.531298i
\(344\) −9.64974 0.572252i −0.520279 0.0308538i
\(345\) −6.09355 + 7.64107i −0.328066 + 0.411382i
\(346\) −19.5495 9.89468i −1.05099 0.531941i
\(347\) −30.8453 + 7.04023i −1.65586 + 0.377939i −0.945429 0.325828i \(-0.894357\pi\)
−0.710431 + 0.703767i \(0.751500\pi\)
\(348\) −7.96310 4.22993i −0.426867 0.226748i
\(349\) −13.7905 28.6362i −0.738188 1.53286i −0.842727 0.538342i \(-0.819051\pi\)
0.104539 0.994521i \(-0.466663\pi\)
\(350\) 12.7659 4.19007i 0.682367 0.223968i
\(351\) 1.94079 4.03008i 0.103591 0.215110i
\(352\) −7.67196 11.8522i −0.408917 0.631724i
\(353\) 3.04474 + 6.32247i 0.162055 + 0.336511i 0.966146 0.257995i \(-0.0830619\pi\)
−0.804091 + 0.594506i \(0.797348\pi\)
\(354\) 0.849087 + 0.704993i 0.0451284 + 0.0374699i
\(355\) 8.78156 38.4745i 0.466077 2.04202i
\(356\) −17.5693 15.1836i −0.931169 0.804727i
\(357\) 4.78744 13.6944i 0.253378 0.724786i
\(358\) 4.97870 + 6.50242i 0.263133 + 0.343664i
\(359\) −7.42021 15.4082i −0.391624 0.813215i −0.999811 0.0194220i \(-0.993817\pi\)
0.608187 0.793793i \(-0.291897\pi\)
\(360\) 2.31997 7.95896i 0.122273 0.419474i
\(361\) 34.0050 1.78974
\(362\) 35.9063 + 0.709038i 1.88719 + 0.0372662i
\(363\) 1.06161 4.65122i 0.0557201 0.244126i
\(364\) −23.3984 3.56982i −1.22641 0.187109i
\(365\) −2.88802 12.6533i −0.151166 0.662302i
\(366\) 1.08079 + 5.20711i 0.0564939 + 0.272180i
\(367\) −6.94494 8.70868i −0.362523 0.454589i 0.566801 0.823855i \(-0.308181\pi\)
−0.929324 + 0.369265i \(0.879609\pi\)
\(368\) 11.0514 7.46730i 0.576096 0.389260i
\(369\) 5.17418 1.18097i 0.269357 0.0614790i
\(370\) 4.12515 + 19.8744i 0.214456 + 1.03322i
\(371\) −9.54122 + 5.99900i −0.495356 + 0.311452i
\(372\) −3.37932 + 12.5072i −0.175209 + 0.648470i
\(373\) 10.7500 0.556615 0.278307 0.960492i \(-0.410227\pi\)
0.278307 + 0.960492i \(0.410227\pi\)
\(374\) −0.382099 + 19.3499i −0.0197579 + 1.00056i
\(375\) 4.02652 + 0.919026i 0.207928 + 0.0474583i
\(376\) −11.1121 27.0664i −0.573060 1.39584i
\(377\) 15.7667 12.5735i 0.812027 0.647570i
\(378\) −3.70928 0.491186i −0.190785 0.0252639i
\(379\) −15.5187 12.3757i −0.797141 0.635699i 0.137817 0.990458i \(-0.455991\pi\)
−0.934958 + 0.354759i \(0.884563\pi\)
\(380\) −41.2010 11.1321i −2.11357 0.571063i
\(381\) 0.547682 + 0.436762i 0.0280586 + 0.0223760i
\(382\) −14.8176 + 6.77869i −0.758132 + 0.346828i
\(383\) 13.1118 + 16.4417i 0.669983 + 0.840132i 0.994389 0.105786i \(-0.0337358\pi\)
−0.324406 + 0.945918i \(0.605164\pi\)
\(384\) −6.26636 + 9.41980i −0.319779 + 0.480702i
\(385\) 13.6897 + 13.6818i 0.697692 + 0.697289i
\(386\) 9.40918 + 20.5675i 0.478915 + 1.04686i
\(387\) 1.48288 3.07923i 0.0753791 0.156526i
\(388\) 33.8769 6.33659i 1.71984 0.321691i
\(389\) −23.1359 11.1417i −1.17304 0.564905i −0.257163 0.966368i \(-0.582788\pi\)
−0.915875 + 0.401463i \(0.868502\pi\)
\(390\) 14.2651 + 11.8442i 0.722340 + 0.599755i
\(391\) −18.2833 −0.924625
\(392\) 3.26657 + 19.5277i 0.164987 + 0.986296i
\(393\) 10.2361 0.516341
\(394\) 15.0997 + 12.5372i 0.760713 + 0.631616i
\(395\) −11.5015 5.53882i −0.578703 0.278689i
\(396\) 4.90657 0.917761i 0.246564 0.0461192i
\(397\) 6.75066 14.0179i 0.338806 0.703538i −0.660057 0.751216i \(-0.729468\pi\)
0.998863 + 0.0476781i \(0.0151822\pi\)
\(398\) −7.66963 16.7650i −0.384444 0.840356i
\(399\) −2.15116 + 19.1418i −0.107692 + 0.958287i
\(400\) 12.4092 + 7.23373i 0.620459 + 0.361687i
\(401\) 10.7061 + 13.4250i 0.534635 + 0.670411i 0.973644 0.228072i \(-0.0732420\pi\)
−0.439010 + 0.898482i \(0.644671\pi\)
\(402\) 18.8846 8.63926i 0.941876 0.430887i
\(403\) −22.6542 18.0661i −1.12849 0.899937i
\(404\) 21.9481 + 5.93014i 1.09196 + 0.295036i
\(405\) 2.29157 + 1.82746i 0.113869 + 0.0908075i
\(406\) −14.1060 9.25099i −0.700071 0.459119i
\(407\) −9.55534 + 7.62013i −0.473640 + 0.377716i
\(408\) 14.3468 5.89003i 0.710271 0.291600i
\(409\) 14.0391 + 3.20433i 0.694189 + 0.158444i 0.555035 0.831827i \(-0.312705\pi\)
0.139153 + 0.990271i \(0.455562\pi\)
\(410\) −0.434328 + 21.9948i −0.0214499 + 1.08624i
\(411\) 8.42811 0.415728
\(412\) −3.89843 + 14.4285i −0.192062 + 0.710843i
\(413\) 1.46037 + 1.45952i 0.0718599 + 0.0718183i
\(414\) 0.958348 + 4.61719i 0.0471002 + 0.226922i
\(415\) 20.5445 4.68915i 1.00849 0.230182i
\(416\) −13.7498 21.2416i −0.674138 1.04146i
\(417\) 5.16063 + 6.47123i 0.252717 + 0.316897i
\(418\) −5.22246 25.1611i −0.255439 1.23067i
\(419\) −2.27135 9.95143i −0.110963 0.486159i −0.999619 0.0275863i \(-0.991218\pi\)
0.888657 0.458573i \(-0.151639\pi\)
\(420\) 5.69224 14.4272i 0.277753 0.703975i
\(421\) −8.29517 + 36.3435i −0.404282 + 1.77127i 0.205452 + 0.978667i \(0.434134\pi\)
−0.609733 + 0.792607i \(0.708723\pi\)
\(422\) 18.8210 + 0.371655i 0.916190 + 0.0180919i
\(423\) 10.3445 0.502967
\(424\) −11.5672 3.37174i −0.561754 0.163746i
\(425\) −8.54301 17.7397i −0.414397 0.860504i
\(426\) −11.5758 15.1186i −0.560850 0.732496i
\(427\) 1.11682 + 9.88635i 0.0540466 + 0.478434i
\(428\) 14.2545 + 12.3189i 0.689019 + 0.595458i
\(429\) −2.48422 + 10.8841i −0.119939 + 0.525488i
\(430\) 10.8994 + 9.04972i 0.525616 + 0.436416i
\(431\) 4.10912 + 8.53268i 0.197930 + 0.411005i 0.976184 0.216944i \(-0.0696089\pi\)
−0.778255 + 0.627949i \(0.783895\pi\)
\(432\) −2.23945 3.31434i −0.107746 0.159461i
\(433\) 3.46340 7.19183i 0.166440 0.345617i −0.801021 0.598637i \(-0.795709\pi\)
0.967461 + 0.253019i \(0.0814236\pi\)
\(434\) −8.44883 + 22.7177i −0.405557 + 1.09048i
\(435\) 5.73346 + 11.9057i 0.274899 + 0.570833i
\(436\) 4.48807 + 2.38402i 0.214940 + 0.114174i
\(437\) 23.6675 5.40195i 1.13217 0.258410i
\(438\) −5.58728 2.82792i −0.266971 0.135123i
\(439\) −6.69486 + 8.39509i −0.319528 + 0.400676i −0.915492 0.402335i \(-0.868199\pi\)
0.595964 + 0.803011i \(0.296770\pi\)
\(440\) −1.22487 + 20.6546i −0.0583933 + 0.984671i
\(441\) −6.82539 1.55370i −0.325019 0.0739857i
\(442\) −0.684803 + 34.6790i −0.0325727 + 1.64951i
\(443\) −8.11699 6.47308i −0.385650 0.307545i 0.411405 0.911453i \(-0.365038\pi\)
−0.797055 + 0.603907i \(0.793610\pi\)
\(444\) 8.64920 + 4.59438i 0.410473 + 0.218039i
\(445\) 7.57257 + 33.1776i 0.358974 + 1.57277i
\(446\) 5.49457 10.8560i 0.260176 0.514044i
\(447\) 1.91041 0.920003i 0.0903591 0.0435146i
\(448\) −13.2955 + 16.4691i −0.628152 + 0.778091i
\(449\) 14.7531 + 7.10474i 0.696244 + 0.335293i 0.748309 0.663350i \(-0.230866\pi\)
−0.0520652 + 0.998644i \(0.516580\pi\)
\(450\) −4.03213 + 3.08728i −0.190076 + 0.145536i
\(451\) −11.9342 + 5.74722i −0.561960 + 0.270626i
\(452\) −12.7304 + 14.7306i −0.598786 + 0.692870i
\(453\) −3.07067 0.700861i −0.144273 0.0329293i
\(454\) 15.2007 + 12.6211i 0.713406 + 0.592338i
\(455\) 24.5348 + 24.5207i 1.15021 + 1.14955i
\(456\) −16.8315 + 11.8635i −0.788206 + 0.555557i
\(457\) −4.52788 + 2.18051i −0.211806 + 0.102000i −0.536779 0.843723i \(-0.680359\pi\)
0.324973 + 0.945723i \(0.394645\pi\)
\(458\) 9.20122 36.9359i 0.429945 1.72590i
\(459\) 5.48318i 0.255933i
\(460\) −19.5314 0.771668i −0.910654 0.0359792i
\(461\) 10.2809 + 2.34655i 0.478829 + 0.109290i 0.455122 0.890429i \(-0.349596\pi\)
0.0237077 + 0.999719i \(0.492453\pi\)
\(462\) 9.29841 0.864857i 0.432601 0.0402368i
\(463\) 13.1106 2.99242i 0.609303 0.139070i 0.0932741 0.995640i \(-0.470267\pi\)
0.516029 + 0.856571i \(0.327410\pi\)
\(464\) −2.61326 17.8433i −0.121318 0.828355i
\(465\) 14.8445 11.8381i 0.688395 0.548977i
\(466\) 32.1783 24.6379i 1.49063 1.14133i
\(467\) 6.63835 + 29.0845i 0.307186 + 1.34587i 0.859031 + 0.511924i \(0.171067\pi\)
−0.551845 + 0.833947i \(0.686076\pi\)
\(468\) 8.79360 1.64482i 0.406484 0.0760319i
\(469\) 36.6674 12.8424i 1.69314 0.593005i
\(470\) −10.3649 + 41.6073i −0.478099 + 1.91920i
\(471\) 23.2797i 1.07267i
\(472\) −0.130664 + 2.20336i −0.00601430 + 0.101418i
\(473\) −1.89810 + 8.31611i −0.0872747 + 0.382375i
\(474\) −5.60112 + 2.56239i −0.257268 + 0.117694i
\(475\) 16.3002 + 20.4398i 0.747904 + 0.937842i
\(476\) 27.7406 8.50220i 1.27149 0.389697i
\(477\) 2.65596 3.33047i 0.121608 0.152492i
\(478\) −4.92285 + 19.7615i −0.225166 + 0.903871i
\(479\) −19.4550 + 24.3958i −0.888920 + 1.11467i 0.103844 + 0.994594i \(0.466886\pi\)
−0.992765 + 0.120077i \(0.961686\pi\)
\(480\) 15.5747 5.68658i 0.710886 0.259556i
\(481\) −17.1252 + 13.6569i −0.780841 + 0.622700i
\(482\) 15.1661 + 7.67609i 0.690797 + 0.349636i
\(483\) 0.990293 + 8.76631i 0.0450599 + 0.398881i
\(484\) 8.75348 3.79736i 0.397885 0.172607i
\(485\) −45.5062 21.9146i −2.06633 0.995091i
\(486\) 1.38470 0.287410i 0.0628113 0.0130372i
\(487\) 1.41544 2.93920i 0.0641399 0.133188i −0.866434 0.499291i \(-0.833594\pi\)
0.930574 + 0.366103i \(0.119308\pi\)
\(488\) −7.11219 + 7.90854i −0.321954 + 0.358003i
\(489\) 8.33422i 0.376886i
\(490\) 13.0881 25.8961i 0.591262 1.16987i
\(491\) 40.1412i 1.81155i −0.423761 0.905774i \(-0.639290\pi\)
0.423761 0.905774i \(-0.360710\pi\)
\(492\) 8.03100 + 6.94049i 0.362066 + 0.312901i
\(493\) −10.7258 + 22.2724i −0.483066 + 1.00310i
\(494\) −9.35975 45.0940i −0.421115 2.02887i
\(495\) −6.59090 3.17401i −0.296239 0.142661i
\(496\) −24.1596 + 9.36566i −1.08480 + 0.420531i
\(497\) −18.9613 30.1573i −0.850529 1.35274i
\(498\) 4.59156 9.07182i 0.205753 0.406518i
\(499\) 5.70824 4.55217i 0.255536 0.203783i −0.487340 0.873212i \(-0.662033\pi\)
0.742876 + 0.669429i \(0.233461\pi\)
\(500\) 3.28734 + 7.57781i 0.147014 + 0.338890i
\(501\) −6.02802 + 7.55889i −0.269312 + 0.337706i
\(502\) −15.2306 3.79415i −0.679777 0.169341i
\(503\) −4.31375 + 5.40927i −0.192341 + 0.241187i −0.868645 0.495435i \(-0.835009\pi\)
0.676305 + 0.736622i \(0.263580\pi\)
\(504\) −3.60118 6.55984i −0.160409 0.292199i
\(505\) −20.7738 26.0496i −0.924424 1.15919i
\(506\) −4.89617 10.7025i −0.217661 0.475786i
\(507\) −1.55947 + 6.83250i −0.0692587 + 0.303442i
\(508\) −0.0553101 + 1.39993i −0.00245399 + 0.0621119i
\(509\) 17.0705i 0.756637i −0.925676 0.378318i \(-0.876502\pi\)
0.925676 0.378318i \(-0.123498\pi\)
\(510\) −22.0543 5.49401i −0.976581 0.243279i
\(511\) −9.92157 6.23013i −0.438904 0.275605i
\(512\) −22.6027 + 1.05633i −0.998910 + 0.0466837i
\(513\) −1.62005 7.09791i −0.0715271 0.313381i
\(514\) −15.8067 20.6442i −0.697202 0.910578i
\(515\) 17.1248 13.6566i 0.754609 0.601780i
\(516\) 6.71886 1.25675i 0.295781 0.0553252i
\(517\) −25.1708 + 5.74507i −1.10701 + 0.252668i
\(518\) 15.3214 + 10.0481i 0.673185 + 0.441486i
\(519\) 15.1049 + 3.44759i 0.663031 + 0.151333i
\(520\) −2.19522 + 37.0175i −0.0962668 + 1.62332i
\(521\) 29.1846i 1.27860i −0.768957 0.639300i \(-0.779224\pi\)
0.768957 0.639300i \(-0.220776\pi\)
\(522\) 6.18679 + 1.54121i 0.270788 + 0.0674569i
\(523\) 32.6740 15.7350i 1.42874 0.688043i 0.449974 0.893042i \(-0.351433\pi\)
0.978762 + 0.204999i \(0.0657190\pi\)
\(524\) 12.1223 + 16.4972i 0.529566 + 0.720682i
\(525\) −8.04298 + 5.05699i −0.351025 + 0.220705i
\(526\) −22.9620 + 27.6552i −1.00119 + 1.20582i
\(527\) 34.6287 + 7.90378i 1.50845 + 0.344294i
\(528\) 7.28986 + 6.82089i 0.317250 + 0.296841i
\(529\) −10.7049 + 5.15523i −0.465432 + 0.224140i
\(530\) 10.7345 + 14.0198i 0.466277 + 0.608980i
\(531\) −0.703091 0.338591i −0.0305116 0.0146936i
\(532\) −33.3978 + 19.2022i −1.44798 + 0.832521i
\(533\) −21.3886 + 10.3002i −0.926444 + 0.446152i
\(534\) 14.6502 + 7.41496i 0.633975 + 0.320877i
\(535\) −6.14388 26.9181i −0.265623 1.16377i
\(536\) 36.2882 + 20.2045i 1.56741 + 0.872700i
\(537\) −4.52751 3.61057i −0.195376 0.155807i
\(538\) 8.23510 + 0.162618i 0.355040 + 0.00701094i
\(539\) 17.4708 0.0101018i 0.752521 0.000435114i
\(540\) −0.231424 + 5.85748i −0.00995891 + 0.252066i
\(541\) 23.9490 30.0312i 1.02965 1.29114i 0.0738039 0.997273i \(-0.476486\pi\)
0.955846 0.293868i \(-0.0949425\pi\)
\(542\) 7.72499 15.2627i 0.331817 0.655590i
\(543\) −24.7579 + 5.65082i −1.06246 + 0.242500i
\(544\) 26.4833 + 16.1469i 1.13546 + 0.692291i
\(545\) −3.23143 6.71013i −0.138419 0.287430i
\(546\) 16.6647 1.55001i 0.713184 0.0663342i
\(547\) 0.408444 0.848143i 0.0174638 0.0362640i −0.892054 0.451928i \(-0.850736\pi\)
0.909518 + 0.415664i \(0.136451\pi\)
\(548\) 9.98122 + 13.5834i 0.426376 + 0.580252i
\(549\) −1.63160 3.38805i −0.0696350 0.144599i
\(550\) 8.09660 9.75147i 0.345240 0.415804i
\(551\) 7.30387 32.0004i 0.311155 1.36326i
\(552\) −6.30644 + 7.01257i −0.268420 + 0.298475i
\(553\) −10.8755 + 3.80902i −0.462472 + 0.161976i
\(554\) 2.83161 2.16808i 0.120304 0.0921128i
\(555\) −6.22746 12.9315i −0.264341 0.548910i
\(556\) −4.31788 + 15.9810i −0.183119 + 0.677744i
\(557\) 40.5079 1.71638 0.858188 0.513335i \(-0.171590\pi\)
0.858188 + 0.513335i \(0.171590\pi\)
\(558\) 0.180867 9.15929i 0.00765672 0.387744i
\(559\) −3.40179 + 14.9042i −0.143881 + 0.630382i
\(560\) 29.9931 7.91176i 1.26744 0.334333i
\(561\) −3.04522 13.3420i −0.128569 0.563298i
\(562\) −30.0953 + 6.24660i −1.26949 + 0.263497i
\(563\) 4.85749 + 6.09111i 0.204719 + 0.256709i 0.873583 0.486675i \(-0.161791\pi\)
−0.668864 + 0.743385i \(0.733219\pi\)
\(564\) 12.2507 + 16.6719i 0.515849 + 0.702015i
\(565\) 27.8171 6.34908i 1.17028 0.267108i
\(566\) 38.8434 8.06239i 1.63271 0.338887i
\(567\) 2.62903 0.296990i 0.110409 0.0124724i
\(568\) 10.6572 36.5610i 0.447166 1.53406i
\(569\) −11.3376 −0.475296 −0.237648 0.971351i \(-0.576376\pi\)
−0.237648 + 0.971351i \(0.576376\pi\)
\(570\) 30.1723 + 0.595809i 1.26378 + 0.0249557i
\(571\) 7.52953 + 1.71857i 0.315101 + 0.0719198i 0.377147 0.926154i \(-0.376905\pi\)
−0.0620456 + 0.998073i \(0.519762\pi\)
\(572\) −20.4836 + 8.88601i −0.856461 + 0.371543i
\(573\) 9.00822 7.18382i 0.376324 0.300108i
\(574\) 13.7658 + 14.3122i 0.574574 + 0.597378i
\(575\) 9.36138 + 7.46545i 0.390396 + 0.311331i
\(576\) 2.68950 7.53436i 0.112062 0.313932i
\(577\) −31.5596 25.1679i −1.31384 1.04775i −0.994993 0.0999482i \(-0.968132\pi\)
−0.318849 0.947806i \(-0.603296\pi\)
\(578\) −7.68667 16.8023i −0.319723 0.698883i
\(579\) −9.97151 12.5039i −0.414402 0.519644i
\(580\) −12.3980 + 23.3401i −0.514800 + 0.969143i
\(581\) 10.1156 16.1092i 0.419665 0.668322i
\(582\) −22.1611 + 10.1382i −0.918607 + 0.420242i
\(583\) −4.61297 + 9.57893i −0.191050 + 0.396719i
\(584\) −2.05921 12.3539i −0.0852108 0.511208i
\(585\) −11.8123 5.68849i −0.488378 0.235190i
\(586\) 8.06008 9.70749i 0.332959 0.401013i
\(587\) 27.4296 1.13214 0.566071 0.824357i \(-0.308463\pi\)
0.566071 + 0.824357i \(0.308463\pi\)
\(588\) −5.57910 12.8403i −0.230078 0.529526i
\(589\) −47.1617 −1.94326
\(590\) 2.06635 2.48869i 0.0850704 0.102458i
\(591\) −12.5034 6.02133i −0.514322 0.247684i
\(592\) 2.83842 + 19.3807i 0.116658 + 0.796542i
\(593\) −13.9414 + 28.9496i −0.572505 + 1.18882i 0.390817 + 0.920469i \(0.372193\pi\)
−0.963321 + 0.268350i \(0.913522\pi\)
\(594\) −3.20971 + 1.46837i −0.131696 + 0.0602479i
\(595\) −40.1387 14.0321i −1.64553 0.575261i
\(596\) 3.74519 + 1.98941i 0.153409 + 0.0814894i
\(597\) 8.12800 + 10.1922i 0.332657 + 0.417138i
\(598\) −8.77497 19.1812i −0.358835 0.784378i
\(599\) 3.68468 + 2.93844i 0.150552 + 0.120061i 0.695869 0.718169i \(-0.255019\pi\)
−0.545317 + 0.838230i \(0.683591\pi\)
\(600\) −9.75084 2.84228i −0.398076 0.116036i
\(601\) 20.0122 + 15.9592i 0.816316 + 0.650990i 0.939940 0.341339i \(-0.110880\pi\)
−0.123624 + 0.992329i \(0.539452\pi\)
\(602\) 12.7329 1.18430i 0.518953 0.0482686i
\(603\) −11.4807 + 9.15558i −0.467531 + 0.372844i
\(604\) −2.50697 5.77893i −0.102007 0.235141i
\(605\) −13.6328 3.11161i −0.554254 0.126505i
\(606\) −16.0730 0.317392i −0.652923 0.0128932i
\(607\) 37.4490 1.52001 0.760003 0.649919i \(-0.225197\pi\)
0.760003 + 0.649919i \(0.225197\pi\)
\(608\) −39.0531 13.0772i −1.58381 0.530351i
\(609\) 11.2599 + 3.93636i 0.456275 + 0.159509i
\(610\) 15.2622 3.16783i 0.617947 0.128262i
\(611\) −45.1114 + 10.2964i −1.82501 + 0.416547i
\(612\) −8.83709 + 6.49360i −0.357218 + 0.262488i
\(613\) −23.7731 29.8106i −0.960188 1.20404i −0.978926 0.204213i \(-0.934536\pi\)
0.0187384 0.999824i \(-0.494035\pi\)
\(614\) −23.3218 + 4.84069i −0.941190 + 0.195354i
\(615\) −3.46146 15.1657i −0.139580 0.611538i
\(616\) 12.4058 + 13.9618i 0.499842 + 0.562535i
\(617\) −3.10337 + 13.5968i −0.124937 + 0.547385i 0.873254 + 0.487265i \(0.162005\pi\)
−0.998191 + 0.0601201i \(0.980852\pi\)
\(618\) 0.208651 10.5663i 0.00839319 0.425039i
\(619\) 31.0702 1.24882 0.624409 0.781097i \(-0.285340\pi\)
0.624409 + 0.781097i \(0.285340\pi\)
\(620\) 36.6590 + 9.90487i 1.47226 + 0.397789i
\(621\) −1.44675 3.00422i −0.0580563 0.120555i
\(622\) 7.08440 5.42431i 0.284059 0.217495i
\(623\) 26.0149 + 16.3358i 1.04227 + 0.654479i
\(624\) 13.0650 + 12.2245i 0.523017 + 0.489371i
\(625\) 6.68896 29.3062i 0.267558 1.17225i
\(626\) −14.5937 + 17.5765i −0.583281 + 0.702499i
\(627\) 7.88400 + 16.3713i 0.314857 + 0.653807i
\(628\) −37.5193 + 27.5697i −1.49718 + 1.10015i
\(629\) 11.6499 24.1914i 0.464514 0.964572i
\(630\) −1.43968 + 10.8720i −0.0573582 + 0.433150i
\(631\) −10.2108 21.2030i −0.406486 0.844077i −0.999251 0.0387014i \(-0.987678\pi\)
0.592765 0.805376i \(-0.298036\pi\)
\(632\) −10.7630 5.99260i −0.428129 0.238373i
\(633\) −12.9773 + 2.96198i −0.515801 + 0.117728i
\(634\) −4.48259 + 8.85652i −0.178027 + 0.351737i
\(635\) 1.28016 1.60527i 0.0508017 0.0637033i
\(636\) 8.51301 + 0.336342i 0.337563 + 0.0133368i
\(637\) 31.3114 0.0181045i 1.24060 0.000717327i
\(638\) −15.9100 0.314172i −0.629882 0.0124382i
\(639\) 10.5267 + 8.39480i 0.416432 + 0.332093i
\(640\) 27.6097 + 18.3669i 1.09137 + 0.726014i
\(641\) 4.90706 + 21.4992i 0.193817 + 0.849169i 0.974526 + 0.224274i \(0.0720011\pi\)
−0.780709 + 0.624895i \(0.785142\pi\)
\(642\) −11.8862 6.01601i −0.469111 0.237433i
\(643\) −21.2639 + 10.2401i −0.838565 + 0.403832i −0.803320 0.595547i \(-0.796935\pi\)
−0.0352446 + 0.999379i \(0.511221\pi\)
\(644\) −12.9556 + 11.9778i −0.510524 + 0.471990i
\(645\) −9.02532 4.34636i −0.355372 0.171138i
\(646\) 34.3211 + 44.8250i 1.35035 + 1.76362i
\(647\) −26.0229 + 12.5320i −1.02307 + 0.492683i −0.868704 0.495331i \(-0.835047\pi\)
−0.154363 + 0.988014i \(0.549333\pi\)
\(648\) 2.10308 + 1.89131i 0.0826168 + 0.0742977i
\(649\) 1.89884 + 0.433399i 0.0745362 + 0.0170124i
\(650\) 14.5108 17.4767i 0.569161 0.685492i
\(651\) 1.91401 17.0316i 0.0750161 0.667521i
\(652\) −13.4320 + 9.87002i −0.526039 + 0.386540i
\(653\) 12.8301 6.17866i 0.502081 0.241790i −0.165660 0.986183i \(-0.552975\pi\)
0.667741 + 0.744393i \(0.267261\pi\)
\(654\) −3.48692 0.868638i −0.136349 0.0339664i
\(655\) 30.0021i 1.17228i
\(656\) −1.67486 + 21.1628i −0.0653924 + 0.826269i
\(657\) 4.31701 + 0.985329i 0.168423 + 0.0384413i
\(658\) 19.9511 + 33.1673i 0.777776 + 1.29300i
\(659\) −2.23896 + 0.511028i −0.0872175 + 0.0199068i −0.265907 0.963999i \(-0.585671\pi\)
0.178689 + 0.983906i \(0.442814\pi\)
\(660\) −2.68998 14.3813i −0.104707 0.559790i
\(661\) −23.5523 + 18.7823i −0.916079 + 0.730548i −0.963326 0.268335i \(-0.913527\pi\)
0.0472469 + 0.998883i \(0.484955\pi\)
\(662\) 4.03406 + 5.26867i 0.156788 + 0.204773i
\(663\) −5.45767 23.9116i −0.211958 0.928651i
\(664\) 20.0585 3.34345i 0.778420 0.129751i
\(665\) 56.1050 + 6.30509i 2.17566 + 0.244501i
\(666\) −6.71984 1.67400i −0.260388 0.0648662i
\(667\) 15.0330i 0.582080i
\(668\) −19.3213 0.763368i −0.747564 0.0295356i
\(669\) −1.91447 + 8.38784i −0.0740177 + 0.324293i
\(670\) −25.3219 55.3511i −0.978270 2.13840i
\(671\) 5.85174 + 7.33785i 0.225904 + 0.283274i
\(672\) 6.30752 13.5726i 0.243318 0.523574i
\(673\) 1.18837 1.49017i 0.0458082 0.0574417i −0.758400 0.651790i \(-0.774018\pi\)
0.804208 + 0.594348i \(0.202590\pi\)
\(674\) −2.50192 0.623260i −0.0963702 0.0240071i
\(675\) 2.23890 2.80749i 0.0861753 0.108060i
\(676\) −12.8586 + 5.57821i −0.494562 + 0.214547i
\(677\) −14.8986 + 11.8812i −0.572600 + 0.456633i −0.866482 0.499208i \(-0.833624\pi\)
0.293882 + 0.955842i \(0.405053\pi\)
\(678\) 6.21694 12.2832i 0.238760 0.471732i
\(679\) −43.0293 + 15.0706i −1.65131 + 0.578355i
\(680\) −17.2638 42.0507i −0.662038 1.61257i
\(681\) −12.5871 6.06161i −0.482337 0.232281i
\(682\) 4.64674 + 22.3873i 0.177933 + 0.857255i
\(683\) −8.95135 + 18.5877i −0.342514 + 0.711237i −0.999073 0.0430367i \(-0.986297\pi\)
0.656560 + 0.754274i \(0.272011\pi\)
\(684\) 9.52092 11.0169i 0.364042 0.421241i
\(685\) 24.7030i 0.943854i
\(686\) −8.18235 24.8807i −0.312404 0.949949i
\(687\) 26.9158i 1.02690i
\(688\) 9.98245 + 9.34027i 0.380577 + 0.356094i
\(689\) −8.26741 + 17.1675i −0.314963 + 0.654028i
\(690\) 13.5331 2.80894i 0.515196 0.106935i
\(691\) −3.12595 1.50538i −0.118917 0.0572673i 0.373479 0.927638i \(-0.378165\pi\)
−0.492396 + 0.870371i \(0.663879\pi\)
\(692\) 12.3320 + 28.4271i 0.468792 + 1.08063i
\(693\) −6.23216 + 2.18275i −0.236740 + 0.0829158i
\(694\) 39.9214 + 20.2056i 1.51540 + 0.766995i
\(695\) 18.9673 15.1259i 0.719472 0.573760i
\(696\) 4.84294 + 11.7963i 0.183571 + 0.447137i
\(697\) 18.1439 22.7517i 0.687250 0.861784i
\(698\) −10.8654 + 43.6161i −0.411260 + 1.65090i
\(699\) −17.8675 + 22.4051i −0.675810 + 0.847439i
\(700\) −17.6753 6.97379i −0.668064 0.263584i
\(701\) −14.7577 18.5056i −0.557392 0.698947i 0.420682 0.907208i \(-0.361791\pi\)
−0.978073 + 0.208261i \(0.933220\pi\)
\(702\) −5.75247 + 2.63163i −0.217113 + 0.0993244i
\(703\) −7.93317 + 34.7575i −0.299205 + 1.31090i
\(704\) −2.35984 + 19.8267i −0.0889397 + 0.747247i
\(705\) 30.3200i 1.14192i
\(706\) 2.39891 9.62981i 0.0902843 0.362423i
\(707\) −29.8876 3.35878i −1.12404 0.126320i
\(708\) −0.286957 1.53414i −0.0107845 0.0576565i
\(709\) −3.96091 17.3539i −0.148755 0.651738i −0.993232 0.116147i \(-0.962946\pi\)
0.844477 0.535592i \(-0.179911\pi\)
\(710\) −44.3129 + 33.9290i −1.66303 + 1.27333i
\(711\) 3.40516 2.71553i 0.127704 0.101840i
\(712\) 5.39937 + 32.3927i 0.202350 + 1.21397i
\(713\) −21.0584 + 4.80644i −0.788643 + 0.180003i
\(714\) −17.5806 + 10.5753i −0.657938 + 0.395769i
\(715\) 31.9015 + 7.28131i 1.19305 + 0.272306i
\(716\) 0.457230 11.5728i 0.0170875 0.432495i
\(717\) 14.4006i 0.537799i
\(718\) −5.84629 + 23.4684i −0.218182 + 0.875834i
\(719\) −16.6145 + 8.00113i −0.619617 + 0.298392i −0.717234 0.696832i \(-0.754592\pi\)
0.0976174 + 0.995224i \(0.468878\pi\)
\(720\) −9.71442 + 6.56390i −0.362035 + 0.244622i
\(721\) 2.20803 19.6479i 0.0822315 0.731726i
\(722\) −36.9992 30.7203i −1.37697 1.14329i
\(723\) −11.7181 2.67457i −0.435799 0.0994684i
\(724\) −38.4274 33.2094i −1.42814 1.23422i
\(725\) 14.5861 7.02429i 0.541714 0.260876i
\(726\) −5.35702 + 4.10171i −0.198818 + 0.152229i
\(727\) 9.62263 + 4.63402i 0.356884 + 0.171866i 0.603731 0.797188i \(-0.293680\pi\)
−0.246847 + 0.969054i \(0.579395\pi\)
\(728\) 22.2337 + 25.0224i 0.824037 + 0.927392i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −8.28870 + 16.3765i −0.306779 + 0.606121i
\(731\) −4.17000 18.2700i −0.154233 0.675739i
\(732\) 3.52817 6.64200i 0.130405 0.245495i
\(733\) 15.0741 + 12.0212i 0.556776 + 0.444014i 0.861013 0.508582i \(-0.169830\pi\)
−0.304238 + 0.952596i \(0.598402\pi\)
\(734\) −0.311005 + 15.7496i −0.0114794 + 0.581328i
\(735\) −4.55394 + 20.0054i −0.167974 + 0.737911i
\(736\) −18.7705 1.85910i −0.691891 0.0685273i
\(737\) 22.8508 28.6539i 0.841719 1.05548i
\(738\) −6.69668 3.38942i −0.246508 0.124766i
\(739\) 16.3126 3.72325i 0.600069 0.136962i 0.0883134 0.996093i \(-0.471852\pi\)
0.511756 + 0.859131i \(0.328995\pi\)
\(740\) 13.4662 25.3510i 0.495029 0.931923i
\(741\) 14.1298 + 29.3408i 0.519071 + 1.07786i
\(742\) 15.8009 + 2.09237i 0.580069 + 0.0768132i
\(743\) −1.62949 + 3.38367i −0.0597801 + 0.124135i −0.928719 0.370786i \(-0.879088\pi\)
0.868938 + 0.494920i \(0.164803\pi\)
\(744\) 14.9760 10.5556i 0.549046 0.386988i
\(745\) −2.69655 5.59945i −0.0987940 0.205148i
\(746\) −11.6966 9.71162i −0.428242 0.355568i
\(747\) −1.59983 + 7.00933i −0.0585349 + 0.256458i
\(748\) 17.8965 20.7085i 0.654361 0.757177i
\(749\) −21.1068 13.2538i −0.771225 0.484282i
\(750\) −3.55081 4.63752i −0.129657 0.169338i
\(751\) −21.1373 43.8921i −0.771312 1.60165i −0.798485 0.602015i \(-0.794365\pi\)
0.0271727 0.999631i \(-0.491350\pi\)
\(752\) −12.3614 + 39.4884i −0.450775 + 1.43999i
\(753\) 11.0988 0.404464
\(754\) −28.5140 0.563063i −1.03842 0.0205055i
\(755\) −2.05424 + 9.00022i −0.0747615 + 0.327552i
\(756\) 3.59215 + 3.88542i 0.130645 + 0.141311i
\(757\) −3.72193 16.3068i −0.135276 0.592682i −0.996436 0.0843487i \(-0.973119\pi\)
0.861161 0.508333i \(-0.169738\pi\)
\(758\) 5.70484 + 27.4851i 0.207209 + 0.998304i
\(759\) 5.18879 + 6.50653i 0.188341 + 0.236172i
\(760\) 34.7721 + 49.3335i 1.26132 + 1.78951i
\(761\) −15.0066 + 3.42515i −0.543988 + 0.124162i −0.485680 0.874137i \(-0.661428\pi\)
−0.0583085 + 0.998299i \(0.518571\pi\)
\(762\) −0.201334 0.970000i −0.00729357 0.0351394i
\(763\) −6.34618 2.21857i −0.229747 0.0803175i
\(764\) 22.2462 + 6.01068i 0.804839 + 0.217459i
\(765\) 16.0713 0.581061
\(766\) 0.587168 29.7347i 0.0212152 1.07436i
\(767\) 3.40313 + 0.776742i 0.122880 + 0.0280465i
\(768\) 15.3280 4.58818i 0.553103 0.165562i
\(769\) −29.7179 + 23.6993i −1.07166 + 0.854618i −0.989862 0.142032i \(-0.954637\pi\)
−0.0817944 + 0.996649i \(0.526065\pi\)
\(770\) −2.53492 27.2539i −0.0913522 0.982161i
\(771\) 14.3742 + 11.4630i 0.517673 + 0.412830i
\(772\) 8.34314 30.8789i