Properties

Label 731.2.k.a.35.15
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.15
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.100864 + 0.441914i) q^{2} +(0.452538 + 1.98270i) q^{3} +(1.61682 + 0.778621i) q^{4} +(-1.88332 + 2.36161i) q^{5} -0.921827 q^{6} +4.55915 q^{7} +(-1.07239 + 1.34474i) q^{8} +(-1.02340 + 0.492843i) q^{9} +O(q^{10})\) \(q+(-0.100864 + 0.441914i) q^{2} +(0.452538 + 1.98270i) q^{3} +(1.61682 + 0.778621i) q^{4} +(-1.88332 + 2.36161i) q^{5} -0.921827 q^{6} +4.55915 q^{7} +(-1.07239 + 1.34474i) q^{8} +(-1.02340 + 0.492843i) q^{9} +(-0.853668 - 1.07047i) q^{10} +(-2.36856 + 1.14064i) q^{11} +(-0.812097 + 3.55803i) q^{12} +(0.657584 - 0.824584i) q^{13} +(-0.459854 + 2.01475i) q^{14} +(-5.53463 - 2.66534i) q^{15} +(1.75166 + 2.19651i) q^{16} +(0.623490 + 0.781831i) q^{17} +(-0.114570 - 0.501964i) q^{18} +(-1.21239 - 0.583858i) q^{19} +(-4.88379 + 2.35191i) q^{20} +(2.06319 + 9.03942i) q^{21} +(-0.265161 - 1.16175i) q^{22} +(5.69941 - 2.74469i) q^{23} +(-3.15151 - 1.51769i) q^{24} +(-0.917696 - 4.02069i) q^{25} +(0.298069 + 0.373766i) q^{26} +(2.36366 + 2.96394i) q^{27} +(7.37133 + 3.54985i) q^{28} +(2.15107 - 9.42445i) q^{29} +(1.73610 - 2.17699i) q^{30} +(2.09110 - 9.16170i) q^{31} +(-4.24665 + 2.04508i) q^{32} +(-3.33340 - 4.17996i) q^{33} +(-0.408390 + 0.196670i) q^{34} +(-8.58633 + 10.7669i) q^{35} -2.03839 q^{36} -8.68787 q^{37} +(0.380302 - 0.476883i) q^{38} +(1.93248 + 0.930635i) q^{39} +(-1.15608 - 5.06514i) q^{40} +(-0.894441 + 3.91880i) q^{41} -4.20274 q^{42} +(-5.40081 - 3.71904i) q^{43} -4.71767 q^{44} +(0.763486 - 3.34505i) q^{45} +(0.638052 + 2.79549i) q^{46} +(-5.11101 - 2.46133i) q^{47} +(-3.56233 + 4.46702i) q^{48} +13.7858 q^{49} +1.86936 q^{50} +(-1.26798 + 1.59000i) q^{51} +(1.70523 - 0.821198i) q^{52} +(3.80084 + 4.76611i) q^{53} +(-1.54822 + 0.745581i) q^{54} +(1.76701 - 7.74179i) q^{55} +(-4.88919 + 6.13085i) q^{56} +(0.608960 - 2.66803i) q^{57} +(3.94783 + 1.90118i) q^{58} +(-1.79126 - 2.24617i) q^{59} +(-6.87324 - 8.61876i) q^{60} +(-1.34012 - 5.87147i) q^{61} +(3.83776 + 1.84817i) q^{62} +(-4.66583 + 2.24694i) q^{63} +(0.774906 + 3.39509i) q^{64} +(0.708904 + 3.10591i) q^{65} +(2.18340 - 1.05147i) q^{66} +(8.09069 + 3.89627i) q^{67} +(0.399322 + 1.74955i) q^{68} +(8.02109 + 10.0581i) q^{69} +(-3.89200 - 4.88041i) q^{70} +(-14.3014 - 6.88717i) q^{71} +(0.434741 - 1.90472i) q^{72} +(4.56381 - 5.72284i) q^{73} +(0.876293 - 3.83929i) q^{74} +(7.55652 - 3.63903i) q^{75} +(-1.50562 - 1.88799i) q^{76} +(-10.7986 + 5.20033i) q^{77} +(-0.606178 + 0.760124i) q^{78} -8.31172 q^{79} -8.48624 q^{80} +(-6.93160 + 8.69195i) q^{81} +(-1.64156 - 0.790532i) q^{82} +(-1.43355 - 6.28080i) q^{83} +(-3.70247 + 16.2216i) q^{84} -3.02061 q^{85} +(2.18824 - 2.01158i) q^{86} +19.6593 q^{87} +(1.00617 - 4.40830i) q^{88} +(1.18508 + 5.19217i) q^{89} +(1.40122 + 0.674790i) q^{90} +(2.99802 - 3.75940i) q^{91} +11.3520 q^{92} +19.1112 q^{93} +(1.60321 - 2.01037i) q^{94} +(3.66217 - 1.76361i) q^{95} +(-5.97655 - 7.49436i) q^{96} +(11.5809 - 5.57707i) q^{97} +(-1.39049 + 6.09214i) q^{98} +(1.86183 - 2.33466i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.100864 + 0.441914i −0.0713216 + 0.312480i −0.997988 0.0634047i \(-0.979804\pi\)
0.926666 + 0.375885i \(0.122661\pi\)
\(3\) 0.452538 + 1.98270i 0.261273 + 1.14471i 0.919872 + 0.392218i \(0.128292\pi\)
−0.658599 + 0.752494i \(0.728851\pi\)
\(4\) 1.61682 + 0.778621i 0.808412 + 0.389311i
\(5\) −1.88332 + 2.36161i −0.842246 + 1.05614i 0.155419 + 0.987849i \(0.450327\pi\)
−0.997665 + 0.0682947i \(0.978244\pi\)
\(6\) −0.921827 −0.376334
\(7\) 4.55915 1.72320 0.861598 0.507592i \(-0.169464\pi\)
0.861598 + 0.507592i \(0.169464\pi\)
\(8\) −1.07239 + 1.34474i −0.379148 + 0.475436i
\(9\) −1.02340 + 0.492843i −0.341133 + 0.164281i
\(10\) −0.853668 1.07047i −0.269954 0.338511i
\(11\) −2.36856 + 1.14064i −0.714147 + 0.343915i −0.755427 0.655232i \(-0.772571\pi\)
0.0412801 + 0.999148i \(0.486856\pi\)
\(12\) −0.812097 + 3.55803i −0.234432 + 1.02711i
\(13\) 0.657584 0.824584i 0.182381 0.228698i −0.682234 0.731134i \(-0.738991\pi\)
0.864614 + 0.502436i \(0.167563\pi\)
\(14\) −0.459854 + 2.01475i −0.122901 + 0.538465i
\(15\) −5.53463 2.66534i −1.42904 0.688188i
\(16\) 1.75166 + 2.19651i 0.437915 + 0.549128i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) −0.114570 0.501964i −0.0270044 0.118314i
\(19\) −1.21239 0.583858i −0.278142 0.133946i 0.289613 0.957144i \(-0.406474\pi\)
−0.567755 + 0.823198i \(0.692188\pi\)
\(20\) −4.88379 + 2.35191i −1.09205 + 0.525903i
\(21\) 2.06319 + 9.03942i 0.450224 + 1.97256i
\(22\) −0.265161 1.16175i −0.0565326 0.247686i
\(23\) 5.69941 2.74469i 1.18841 0.572307i 0.268058 0.963403i \(-0.413618\pi\)
0.920350 + 0.391095i \(0.127904\pi\)
\(24\) −3.15151 1.51769i −0.643299 0.309796i
\(25\) −0.917696 4.02069i −0.183539 0.804137i
\(26\) 0.298069 + 0.373766i 0.0584560 + 0.0733016i
\(27\) 2.36366 + 2.96394i 0.454887 + 0.570411i
\(28\) 7.37133 + 3.54985i 1.39305 + 0.670858i
\(29\) 2.15107 9.42445i 0.399444 1.75008i −0.230152 0.973155i \(-0.573922\pi\)
0.629596 0.776923i \(-0.283220\pi\)
\(30\) 1.73610 2.17699i 0.316966 0.397463i
\(31\) 2.09110 9.16170i 0.375572 1.64549i −0.335259 0.942126i \(-0.608824\pi\)
0.710831 0.703363i \(-0.248319\pi\)
\(32\) −4.24665 + 2.04508i −0.750709 + 0.361522i
\(33\) −3.33340 4.17996i −0.580271 0.727637i
\(34\) −0.408390 + 0.196670i −0.0700383 + 0.0337287i
\(35\) −8.58633 + 10.7669i −1.45135 + 1.81994i
\(36\) −2.03839 −0.339732
\(37\) −8.68787 −1.42828 −0.714138 0.700005i \(-0.753181\pi\)
−0.714138 + 0.700005i \(0.753181\pi\)
\(38\) 0.380302 0.476883i 0.0616931 0.0773607i
\(39\) 1.93248 + 0.930635i 0.309445 + 0.149021i
\(40\) −1.15608 5.06514i −0.182793 0.800869i
\(41\) −0.894441 + 3.91880i −0.139688 + 0.612014i 0.855815 + 0.517283i \(0.173056\pi\)
−0.995503 + 0.0947313i \(0.969801\pi\)
\(42\) −4.20274 −0.648498
\(43\) −5.40081 3.71904i −0.823616 0.567148i
\(44\) −4.71767 −0.711215
\(45\) 0.763486 3.34505i 0.113814 0.498650i
\(46\) 0.638052 + 2.79549i 0.0940756 + 0.412172i
\(47\) −5.11101 2.46133i −0.745517 0.359022i 0.0222490 0.999752i \(-0.492917\pi\)
−0.767766 + 0.640730i \(0.778632\pi\)
\(48\) −3.56233 + 4.46702i −0.514178 + 0.644759i
\(49\) 13.7858 1.96940
\(50\) 1.86936 0.264367
\(51\) −1.26798 + 1.59000i −0.177553 + 0.222645i
\(52\) 1.70523 0.821198i 0.236474 0.113880i
\(53\) 3.80084 + 4.76611i 0.522086 + 0.654675i 0.971050 0.238875i \(-0.0767785\pi\)
−0.448965 + 0.893550i \(0.648207\pi\)
\(54\) −1.54822 + 0.745581i −0.210685 + 0.101461i
\(55\) 1.76701 7.74179i 0.238264 1.04390i
\(56\) −4.88919 + 6.13085i −0.653346 + 0.819269i
\(57\) 0.608960 2.66803i 0.0806587 0.353389i
\(58\) 3.94783 + 1.90118i 0.518376 + 0.249637i
\(59\) −1.79126 2.24617i −0.233203 0.292427i 0.651437 0.758703i \(-0.274167\pi\)
−0.884639 + 0.466276i \(0.845595\pi\)
\(60\) −6.87324 8.61876i −0.887331 1.11268i
\(61\) −1.34012 5.87147i −0.171585 0.751765i −0.985346 0.170565i \(-0.945441\pi\)
0.813761 0.581200i \(-0.197416\pi\)
\(62\) 3.83776 + 1.84817i 0.487397 + 0.234718i
\(63\) −4.66583 + 2.24694i −0.587839 + 0.283088i
\(64\) 0.774906 + 3.39509i 0.0968633 + 0.424386i
\(65\) 0.708904 + 3.10591i 0.0879287 + 0.385241i
\(66\) 2.18340 1.05147i 0.268758 0.129427i
\(67\) 8.09069 + 3.89627i 0.988435 + 0.476005i 0.856998 0.515320i \(-0.172327\pi\)
0.131437 + 0.991325i \(0.458041\pi\)
\(68\) 0.399322 + 1.74955i 0.0484250 + 0.212164i
\(69\) 8.02109 + 10.0581i 0.965626 + 1.21086i
\(70\) −3.89200 4.88041i −0.465183 0.583321i
\(71\) −14.3014 6.88717i −1.69726 0.817357i −0.994359 0.106069i \(-0.966174\pi\)
−0.702901 0.711288i \(-0.748112\pi\)
\(72\) 0.434741 1.90472i 0.0512347 0.224474i
\(73\) 4.56381 5.72284i 0.534154 0.669807i −0.439393 0.898295i \(-0.644807\pi\)
0.973547 + 0.228487i \(0.0733780\pi\)
\(74\) 0.876293 3.83929i 0.101867 0.446308i
\(75\) 7.55652 3.63903i 0.872552 0.420199i
\(76\) −1.50562 1.88799i −0.172707 0.216567i
\(77\) −10.7986 + 5.20033i −1.23062 + 0.592633i
\(78\) −0.606178 + 0.760124i −0.0686362 + 0.0860671i
\(79\) −8.31172 −0.935142 −0.467571 0.883956i \(-0.654871\pi\)
−0.467571 + 0.883956i \(0.654871\pi\)
\(80\) −8.48624 −0.948791
\(81\) −6.93160 + 8.69195i −0.770178 + 0.965772i
\(82\) −1.64156 0.790532i −0.181279 0.0872996i
\(83\) −1.43355 6.28080i −0.157353 0.689407i −0.990632 0.136556i \(-0.956397\pi\)
0.833280 0.552852i \(-0.186460\pi\)
\(84\) −3.70247 + 16.2216i −0.403973 + 1.76992i
\(85\) −3.02061 −0.327631
\(86\) 2.18824 2.01158i 0.235964 0.216914i
\(87\) 19.6593 2.10770
\(88\) 1.00617 4.40830i 0.107258 0.469926i
\(89\) 1.18508 + 5.19217i 0.125618 + 0.550369i 0.998094 + 0.0617120i \(0.0196560\pi\)
−0.872476 + 0.488657i \(0.837487\pi\)
\(90\) 1.40122 + 0.674790i 0.147701 + 0.0711291i
\(91\) 2.99802 3.75940i 0.314278 0.394092i
\(92\) 11.3520 1.18353
\(93\) 19.1112 1.98174
\(94\) 1.60321 2.01037i 0.165359 0.207353i
\(95\) 3.66217 1.76361i 0.375730 0.180942i
\(96\) −5.97655 7.49436i −0.609979 0.764889i
\(97\) 11.5809 5.57707i 1.17586 0.566265i 0.259159 0.965835i \(-0.416555\pi\)
0.916703 + 0.399569i \(0.130840\pi\)
\(98\) −1.39049 + 6.09214i −0.140461 + 0.615399i
\(99\) 1.86183 2.33466i 0.187120 0.234642i
\(100\) 1.64684 7.21528i 0.164684 0.721528i
\(101\) 13.0928 + 6.30517i 1.30278 + 0.627388i 0.951144 0.308747i \(-0.0999096\pi\)
0.351641 + 0.936135i \(0.385624\pi\)
\(102\) −0.574750 0.720714i −0.0569087 0.0713613i
\(103\) 11.1104 + 13.9321i 1.09474 + 1.37277i 0.921723 + 0.387848i \(0.126781\pi\)
0.173021 + 0.984918i \(0.444647\pi\)
\(104\) 0.403661 + 1.76855i 0.0395822 + 0.173421i
\(105\) −25.2332 12.1517i −2.46251 1.18588i
\(106\) −2.48958 + 1.19892i −0.241809 + 0.116449i
\(107\) 2.99695 + 13.1305i 0.289726 + 1.26937i 0.884901 + 0.465778i \(0.154226\pi\)
−0.595175 + 0.803596i \(0.702917\pi\)
\(108\) 1.51384 + 6.63257i 0.145669 + 0.638219i
\(109\) −13.7560 + 6.62454i −1.31759 + 0.634516i −0.954770 0.297345i \(-0.903899\pi\)
−0.362815 + 0.931861i \(0.618184\pi\)
\(110\) 3.24298 + 1.56174i 0.309206 + 0.148906i
\(111\) −3.93159 17.2254i −0.373170 1.63497i
\(112\) 7.98608 + 10.0142i 0.754613 + 0.946255i
\(113\) −3.90325 4.89452i −0.367187 0.460438i 0.563574 0.826065i \(-0.309426\pi\)
−0.930761 + 0.365628i \(0.880854\pi\)
\(114\) 1.11762 + 0.538216i 0.104674 + 0.0504085i
\(115\) −4.25192 + 18.6289i −0.396494 + 1.73715i
\(116\) 10.8160 13.5628i 1.00424 1.25928i
\(117\) −0.266580 + 1.16796i −0.0246453 + 0.107978i
\(118\) 1.17329 0.565026i 0.108010 0.0520149i
\(119\) 2.84258 + 3.56448i 0.260579 + 0.326756i
\(120\) 9.51947 4.58434i 0.869005 0.418491i
\(121\) −2.54937 + 3.19681i −0.231761 + 0.290619i
\(122\) 2.72985 0.247149
\(123\) −8.17457 −0.737076
\(124\) 10.5144 13.1847i 0.944223 1.18402i
\(125\) −2.38378 1.14797i −0.213212 0.102677i
\(126\) −0.522342 2.28853i −0.0465339 0.203878i
\(127\) 0.533850 2.33895i 0.0473715 0.207548i −0.945703 0.325031i \(-0.894625\pi\)
0.993075 + 0.117483i \(0.0374825\pi\)
\(128\) −11.0053 −0.972745
\(129\) 4.92966 12.3912i 0.434033 1.09098i
\(130\) −1.44405 −0.126651
\(131\) −1.54898 + 6.78651i −0.135335 + 0.592940i 0.861090 + 0.508453i \(0.169782\pi\)
−0.996425 + 0.0844873i \(0.973075\pi\)
\(132\) −2.13492 9.35371i −0.185821 0.814136i
\(133\) −5.52748 2.66189i −0.479293 0.230815i
\(134\) −2.53787 + 3.18239i −0.219239 + 0.274917i
\(135\) −11.4512 −0.985563
\(136\) −1.71998 −0.147487
\(137\) 2.17753 2.73054i 0.186039 0.233285i −0.680062 0.733155i \(-0.738047\pi\)
0.866101 + 0.499869i \(0.166619\pi\)
\(138\) −5.25387 + 2.53013i −0.447239 + 0.215379i
\(139\) 1.11410 + 1.39704i 0.0944967 + 0.118495i 0.826832 0.562449i \(-0.190141\pi\)
−0.732335 + 0.680945i \(0.761569\pi\)
\(140\) −22.2659 + 10.7227i −1.88181 + 0.906234i
\(141\) 2.56715 11.2474i 0.216193 0.947205i
\(142\) 4.48603 5.62530i 0.376459 0.472065i
\(143\) −0.616974 + 2.70314i −0.0515940 + 0.226048i
\(144\) −2.87518 1.38462i −0.239599 0.115385i
\(145\) 18.2057 + 22.8292i 1.51190 + 1.89587i
\(146\) 2.06868 + 2.59404i 0.171205 + 0.214684i
\(147\) 6.23861 + 27.3331i 0.514552 + 2.25440i
\(148\) −14.0467 6.76456i −1.15464 0.556043i
\(149\) 15.4623 7.44626i 1.26672 0.610022i 0.324778 0.945790i \(-0.394710\pi\)
0.941945 + 0.335769i \(0.108996\pi\)
\(150\) 0.845957 + 3.70638i 0.0690721 + 0.302625i
\(151\) −4.58787 20.1008i −0.373356 1.63578i −0.717283 0.696782i \(-0.754614\pi\)
0.343927 0.938996i \(-0.388243\pi\)
\(152\) 2.08530 1.00423i 0.169140 0.0814534i
\(153\) −1.02340 0.492843i −0.0827369 0.0398440i
\(154\) −1.20891 5.29658i −0.0974167 0.426811i
\(155\) 17.6981 + 22.1928i 1.42155 + 1.78256i
\(156\) 2.39987 + 3.00934i 0.192144 + 0.240940i
\(157\) −1.57123 0.756663i −0.125398 0.0603883i 0.370133 0.928979i \(-0.379312\pi\)
−0.495531 + 0.868590i \(0.665026\pi\)
\(158\) 0.838353 3.67307i 0.0666958 0.292213i
\(159\) −7.72973 + 9.69277i −0.613007 + 0.768687i
\(160\) 3.16813 13.8805i 0.250462 1.09735i
\(161\) 25.9844 12.5134i 2.04786 0.986197i
\(162\) −3.14195 3.93987i −0.246855 0.309546i
\(163\) −4.53728 + 2.18504i −0.355387 + 0.171145i −0.603055 0.797700i \(-0.706050\pi\)
0.247668 + 0.968845i \(0.420336\pi\)
\(164\) −4.49741 + 5.63958i −0.351189 + 0.440377i
\(165\) 16.1493 1.25722
\(166\) 2.92017 0.226649
\(167\) 8.62669 10.8175i 0.667553 0.837085i −0.326589 0.945167i \(-0.605899\pi\)
0.994142 + 0.108081i \(0.0344707\pi\)
\(168\) −14.3682 6.91935i −1.10853 0.533840i
\(169\) 2.64525 + 11.5896i 0.203481 + 0.891507i
\(170\) 0.304671 1.33485i 0.0233672 0.102378i
\(171\) 1.52851 0.116888
\(172\) −5.83643 10.2182i −0.445024 0.779132i
\(173\) 8.02052 0.609789 0.304894 0.952386i \(-0.401379\pi\)
0.304894 + 0.952386i \(0.401379\pi\)
\(174\) −1.98292 + 8.68772i −0.150324 + 0.658614i
\(175\) −4.18391 18.3309i −0.316274 1.38569i
\(176\) −6.65434 3.20456i −0.501590 0.241553i
\(177\) 3.64287 4.56801i 0.273815 0.343353i
\(178\) −2.41403 −0.180939
\(179\) −22.6994 −1.69663 −0.848315 0.529492i \(-0.822382\pi\)
−0.848315 + 0.529492i \(0.822382\pi\)
\(180\) 3.83895 4.81389i 0.286138 0.358806i
\(181\) −3.17708 + 1.53000i −0.236150 + 0.113724i −0.548217 0.836336i \(-0.684693\pi\)
0.312066 + 0.950060i \(0.398979\pi\)
\(182\) 1.35894 + 1.70405i 0.100731 + 0.126313i
\(183\) 11.0349 5.31413i 0.815724 0.392832i
\(184\) −2.42111 + 10.6076i −0.178487 + 0.782001i
\(185\) 16.3620 20.5173i 1.20296 1.50846i
\(186\) −1.92763 + 8.44550i −0.141341 + 0.619254i
\(187\) −2.36856 1.14064i −0.173206 0.0834117i
\(188\) −6.34715 7.95908i −0.462914 0.580475i
\(189\) 10.7763 + 13.5130i 0.783860 + 0.982929i
\(190\) 0.409982 + 1.79625i 0.0297432 + 0.130313i
\(191\) 6.70808 + 3.23044i 0.485380 + 0.233747i 0.660536 0.750794i \(-0.270329\pi\)
−0.175157 + 0.984541i \(0.556043\pi\)
\(192\) −6.38076 + 3.07281i −0.460492 + 0.221761i
\(193\) −0.984056 4.31143i −0.0708339 0.310344i 0.927083 0.374856i \(-0.122308\pi\)
−0.997917 + 0.0645125i \(0.979451\pi\)
\(194\) 1.29649 + 5.68029i 0.0930824 + 0.407821i
\(195\) −5.83728 + 2.81109i −0.418016 + 0.201306i
\(196\) 22.2892 + 10.7339i 1.59209 + 0.766709i
\(197\) −0.227568 0.997042i −0.0162136 0.0710363i 0.966174 0.257891i \(-0.0830277\pi\)
−0.982387 + 0.186855i \(0.940171\pi\)
\(198\) 0.843926 + 1.05825i 0.0599752 + 0.0752065i
\(199\) 13.6247 + 17.0849i 0.965830 + 1.21111i 0.977447 + 0.211181i \(0.0677308\pi\)
−0.0116166 + 0.999933i \(0.503698\pi\)
\(200\) 6.39089 + 3.07769i 0.451905 + 0.217626i
\(201\) −4.06379 + 17.8046i −0.286637 + 1.25584i
\(202\) −4.10694 + 5.14994i −0.288963 + 0.362348i
\(203\) 9.80704 42.9675i 0.688320 3.01573i
\(204\) −3.28811 + 1.58347i −0.230214 + 0.110865i
\(205\) −7.57015 9.49267i −0.528723 0.662997i
\(206\) −7.27741 + 3.50462i −0.507041 + 0.244178i
\(207\) −4.48007 + 5.61783i −0.311386 + 0.390466i
\(208\) 2.96307 0.205452
\(209\) 3.53759 0.244700
\(210\) 7.91511 9.92524i 0.546195 0.684906i
\(211\) 6.70976 + 3.23125i 0.461919 + 0.222448i 0.650345 0.759639i \(-0.274624\pi\)
−0.188426 + 0.982087i \(0.560339\pi\)
\(212\) 2.43430 + 10.6654i 0.167188 + 0.732500i
\(213\) 7.18328 31.4720i 0.492190 2.15643i
\(214\) −6.10484 −0.417318
\(215\) 18.9544 5.75046i 1.29268 0.392178i
\(216\) −6.52050 −0.443664
\(217\) 9.53362 41.7695i 0.647184 2.83550i
\(218\) −1.53999 6.74714i −0.104301 0.456974i
\(219\) 13.4120 + 6.45886i 0.906297 + 0.436449i
\(220\) 8.88487 11.1413i 0.599018 0.751145i
\(221\) 1.05468 0.0709456
\(222\) 8.00871 0.537510
\(223\) −8.96273 + 11.2389i −0.600189 + 0.752613i −0.985407 0.170213i \(-0.945555\pi\)
0.385219 + 0.922825i \(0.374126\pi\)
\(224\) −19.3611 + 9.32382i −1.29362 + 0.622974i
\(225\) 2.92074 + 3.66249i 0.194716 + 0.244166i
\(226\) 2.55665 1.23122i 0.170066 0.0818995i
\(227\) 2.67997 11.7417i 0.177876 0.779326i −0.804733 0.593637i \(-0.797691\pi\)
0.982609 0.185688i \(-0.0594515\pi\)
\(228\) 3.06196 3.83958i 0.202784 0.254283i
\(229\) −2.02424 + 8.86876i −0.133765 + 0.586064i 0.862965 + 0.505264i \(0.168605\pi\)
−0.996730 + 0.0808004i \(0.974252\pi\)
\(230\) −7.80350 3.75797i −0.514548 0.247793i
\(231\) −15.1975 19.0570i −0.999921 1.25386i
\(232\) 10.3666 + 12.9993i 0.680602 + 0.853448i
\(233\) −1.68194 7.36906i −0.110188 0.482763i −0.999667 0.0257889i \(-0.991790\pi\)
0.889480 0.456974i \(-0.151067\pi\)
\(234\) −0.489251 0.235611i −0.0319833 0.0154024i
\(235\) 15.4384 7.43472i 1.00709 0.484988i
\(236\) −1.14724 5.02638i −0.0746789 0.327189i
\(237\) −3.76137 16.4796i −0.244327 1.07047i
\(238\) −1.86191 + 0.896648i −0.120690 + 0.0581211i
\(239\) 8.28129 + 3.98806i 0.535672 + 0.257966i 0.682105 0.731255i \(-0.261065\pi\)
−0.146433 + 0.989221i \(0.546779\pi\)
\(240\) −3.84035 16.8257i −0.247893 1.08609i
\(241\) 12.1403 + 15.2234i 0.782025 + 0.980628i 0.999989 + 0.00467167i \(0.00148705\pi\)
−0.217964 + 0.975957i \(0.569942\pi\)
\(242\) −1.15558 1.44905i −0.0742832 0.0931482i
\(243\) −10.1236 4.87525i −0.649426 0.312747i
\(244\) 2.40491 10.5366i 0.153958 0.674535i
\(245\) −25.9631 + 32.5567i −1.65872 + 2.07997i
\(246\) 0.824520 3.61246i 0.0525695 0.230322i
\(247\) −1.27869 + 0.615784i −0.0813610 + 0.0391814i
\(248\) 10.0776 + 12.6369i 0.639928 + 0.802444i
\(249\) 11.8042 5.68460i 0.748061 0.360247i
\(250\) 0.747740 0.937636i 0.0472912 0.0593013i
\(251\) 19.1667 1.20979 0.604895 0.796306i \(-0.293215\pi\)
0.604895 + 0.796306i \(0.293215\pi\)
\(252\) −9.29334 −0.585425
\(253\) −10.3687 + 13.0019i −0.651873 + 0.817423i
\(254\) 0.979768 + 0.471831i 0.0614761 + 0.0296053i
\(255\) −1.36694 5.98896i −0.0856012 0.375043i
\(256\) −0.439769 + 1.92675i −0.0274856 + 0.120422i
\(257\) −22.3162 −1.39205 −0.696023 0.718020i \(-0.745049\pi\)
−0.696023 + 0.718020i \(0.745049\pi\)
\(258\) 4.97861 + 3.42831i 0.309955 + 0.213437i
\(259\) −39.6093 −2.46120
\(260\) −1.27215 + 5.57367i −0.0788957 + 0.345665i
\(261\) 2.44337 + 10.7051i 0.151241 + 0.662630i
\(262\) −2.84282 1.36903i −0.175630 0.0845789i
\(263\) −4.24867 + 5.32766i −0.261984 + 0.328518i −0.895374 0.445315i \(-0.853092\pi\)
0.633390 + 0.773833i \(0.281663\pi\)
\(264\) 9.19566 0.565954
\(265\) −18.4139 −1.13116
\(266\) 1.73385 2.17418i 0.106309 0.133308i
\(267\) −9.75823 + 4.69931i −0.597194 + 0.287593i
\(268\) 10.0475 + 12.5992i 0.613748 + 0.769616i
\(269\) 3.74638 1.80416i 0.228421 0.110002i −0.316173 0.948702i \(-0.602398\pi\)
0.544594 + 0.838700i \(0.316684\pi\)
\(270\) 1.15501 5.06045i 0.0702919 0.307969i
\(271\) −1.71846 + 2.15488i −0.104389 + 0.130900i −0.831282 0.555851i \(-0.812392\pi\)
0.726893 + 0.686751i \(0.240964\pi\)
\(272\) −0.625161 + 2.73901i −0.0379059 + 0.166077i
\(273\) 8.81047 + 4.24290i 0.533234 + 0.256792i
\(274\) 0.987027 + 1.23769i 0.0596285 + 0.0747718i
\(275\) 6.75976 + 8.47647i 0.407629 + 0.511151i
\(276\) 5.13722 + 22.5076i 0.309224 + 1.35480i
\(277\) −12.2075 5.87884i −0.733480 0.353225i 0.0295719 0.999563i \(-0.490586\pi\)
−0.763052 + 0.646337i \(0.776300\pi\)
\(278\) −0.729742 + 0.351425i −0.0437670 + 0.0210771i
\(279\) 2.37525 + 10.4067i 0.142203 + 0.623030i
\(280\) −5.27076 23.0927i −0.314988 1.38005i
\(281\) −8.01018 + 3.85750i −0.477847 + 0.230119i −0.657273 0.753652i \(-0.728290\pi\)
0.179426 + 0.983771i \(0.442576\pi\)
\(282\) 4.71147 + 2.26892i 0.280564 + 0.135112i
\(283\) 5.28702 + 23.1639i 0.314281 + 1.37695i 0.847419 + 0.530925i \(0.178156\pi\)
−0.533138 + 0.846028i \(0.678987\pi\)
\(284\) −17.7603 22.2707i −1.05388 1.32152i
\(285\) 5.15397 + 6.46288i 0.305295 + 0.382828i
\(286\) −1.13232 0.545299i −0.0669557 0.0322442i
\(287\) −4.07789 + 17.8664i −0.240710 + 1.05462i
\(288\) 3.33812 4.18587i 0.196700 0.246654i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) −11.9249 + 5.74271i −0.700252 + 0.337224i
\(291\) 16.2984 + 20.4376i 0.955432 + 1.19807i
\(292\) 11.8348 5.69934i 0.692579 0.333529i
\(293\) −2.51306 + 3.15127i −0.146814 + 0.184099i −0.849801 0.527104i \(-0.823278\pi\)
0.702987 + 0.711203i \(0.251849\pi\)
\(294\) −12.7081 −0.741154
\(295\) 8.67810 0.505259
\(296\) 9.31680 11.6829i 0.541528 0.679054i
\(297\) −8.97926 4.32418i −0.521030 0.250915i
\(298\) 1.73102 + 7.58407i 0.100275 + 0.439334i
\(299\) 1.48461 6.50450i 0.0858572 0.376165i
\(300\) 15.0510 0.868969
\(301\) −24.6231 16.9556i −1.41925 0.977307i
\(302\) 9.34557 0.537777
\(303\) −6.57626 + 28.8125i −0.377796 + 1.65523i
\(304\) −0.841250 3.68576i −0.0482490 0.211393i
\(305\) 16.3900 + 7.89301i 0.938488 + 0.451952i
\(306\) 0.321018 0.402544i 0.0183514 0.0230119i
\(307\) 6.02425 0.343822 0.171911 0.985112i \(-0.445006\pi\)
0.171911 + 0.985112i \(0.445006\pi\)
\(308\) −21.5085 −1.22556
\(309\) −22.5952 + 28.3335i −1.28539 + 1.61183i
\(310\) −11.5924 + 5.58260i −0.658404 + 0.317070i
\(311\) −6.64077 8.32727i −0.376564 0.472196i 0.557049 0.830480i \(-0.311934\pi\)
−0.933613 + 0.358284i \(0.883362\pi\)
\(312\) −3.32384 + 1.60068i −0.188175 + 0.0906204i
\(313\) 1.75764 7.70071i 0.0993475 0.435270i −0.900652 0.434541i \(-0.856911\pi\)
1.00000 0.000729128i \(-0.000232089\pi\)
\(314\) 0.492860 0.618027i 0.0278137 0.0348773i
\(315\) 3.48084 15.2506i 0.196123 0.859272i
\(316\) −13.4386 6.47168i −0.755980 0.364061i
\(317\) −10.2652 12.8722i −0.576551 0.722972i 0.404969 0.914330i \(-0.367282\pi\)
−0.981520 + 0.191358i \(0.938711\pi\)
\(318\) −3.50372 4.39353i −0.196479 0.246377i
\(319\) 5.65495 + 24.7760i 0.316617 + 1.38719i
\(320\) −9.47726 4.56401i −0.529795 0.255136i
\(321\) −24.6776 + 11.8841i −1.37737 + 0.663307i
\(322\) 2.90897 + 12.7450i 0.162111 + 0.710253i
\(323\) −0.299436 1.31192i −0.0166611 0.0729970i
\(324\) −17.9749 + 8.65626i −0.998606 + 0.480903i
\(325\) −3.91885 1.88722i −0.217379 0.104684i
\(326\) −0.507951 2.22548i −0.0281328 0.123258i
\(327\) −19.3596 24.2761i −1.07059 1.34247i
\(328\) −4.31056 5.40528i −0.238011 0.298456i
\(329\) −23.3018 11.2216i −1.28467 0.618665i
\(330\) −1.62888 + 7.13659i −0.0896670 + 0.392857i
\(331\) 6.47013 8.11329i 0.355631 0.445947i −0.571547 0.820570i \(-0.693656\pi\)
0.927177 + 0.374623i \(0.122228\pi\)
\(332\) 2.57256 11.2711i 0.141188 0.618584i
\(333\) 8.89116 4.28176i 0.487232 0.234639i
\(334\) 3.91029 + 4.90335i 0.213962 + 0.268299i
\(335\) −24.4388 + 11.7691i −1.33523 + 0.643015i
\(336\) −16.2412 + 20.3658i −0.886030 + 1.11105i
\(337\) −32.5121 −1.77105 −0.885525 0.464592i \(-0.846201\pi\)
−0.885525 + 0.464592i \(0.846201\pi\)
\(338\) −5.38841 −0.293091
\(339\) 7.93799 9.95393i 0.431132 0.540623i
\(340\) −4.88379 2.35191i −0.264861 0.127550i
\(341\) 5.49729 + 24.0852i 0.297695 + 1.30429i
\(342\) −0.154172 + 0.675471i −0.00833666 + 0.0365253i
\(343\) 30.9375 1.67047
\(344\) 10.7929 3.27440i 0.581915 0.176544i
\(345\) −38.8597 −2.09213
\(346\) −0.808981 + 3.54438i −0.0434911 + 0.190547i
\(347\) −5.39503 23.6372i −0.289620 1.26891i −0.885048 0.465501i \(-0.845874\pi\)
0.595427 0.803409i \(-0.296983\pi\)
\(348\) 31.7856 + 15.3071i 1.70389 + 0.820549i
\(349\) −11.3028 + 14.1733i −0.605027 + 0.758680i −0.986152 0.165844i \(-0.946965\pi\)
0.381125 + 0.924523i \(0.375537\pi\)
\(350\) 8.52268 0.455557
\(351\) 3.99833 0.213415
\(352\) 7.72575 9.68778i 0.411784 0.516360i
\(353\) −17.9657 + 8.65184i −0.956220 + 0.460491i −0.845863 0.533401i \(-0.820914\pi\)
−0.110357 + 0.993892i \(0.535199\pi\)
\(354\) 1.65123 + 2.07058i 0.0877621 + 0.110050i
\(355\) 43.1988 20.8035i 2.29276 1.10413i
\(356\) −2.12667 + 9.31756i −0.112713 + 0.493829i
\(357\) −5.78092 + 7.24905i −0.305959 + 0.383660i
\(358\) 2.28955 10.0312i 0.121006 0.530163i
\(359\) 22.3714 + 10.7735i 1.18072 + 0.568603i 0.918120 0.396303i \(-0.129707\pi\)
0.262596 + 0.964906i \(0.415421\pi\)
\(360\) 3.67945 + 4.61389i 0.193924 + 0.243173i
\(361\) −10.7173 13.4391i −0.564068 0.707319i
\(362\) −0.355676 1.55832i −0.0186939 0.0819033i
\(363\) −7.49201 3.60796i −0.393228 0.189369i
\(364\) 7.77441 3.74396i 0.407490 0.196237i
\(365\) 4.91999 + 21.5559i 0.257524 + 1.12829i
\(366\) 1.23536 + 5.41248i 0.0645735 + 0.282915i
\(367\) −20.2396 + 9.74688i −1.05650 + 0.508783i −0.879732 0.475470i \(-0.842278\pi\)
−0.176767 + 0.984253i \(0.556564\pi\)
\(368\) 16.0122 + 7.71106i 0.834692 + 0.401967i
\(369\) −1.01598 4.45132i −0.0528900 0.231726i
\(370\) 7.41656 + 9.30007i 0.385568 + 0.483488i
\(371\) 17.3286 + 21.7294i 0.899656 + 1.12813i
\(372\) 30.8994 + 14.8804i 1.60206 + 0.771512i
\(373\) 2.12679 9.31807i 0.110121 0.482471i −0.889550 0.456837i \(-0.848982\pi\)
0.999671 0.0256345i \(-0.00816060\pi\)
\(374\) 0.742966 0.931650i 0.0384178 0.0481745i
\(375\) 1.19732 5.24581i 0.0618295 0.270893i
\(376\) 8.79084 4.23345i 0.453353 0.218323i
\(377\) −6.35674 7.97110i −0.327389 0.410533i
\(378\) −7.05854 + 3.39921i −0.363052 + 0.174837i
\(379\) −15.3721 + 19.2760i −0.789611 + 0.990141i 0.210311 + 0.977635i \(0.432552\pi\)
−0.999922 + 0.0125061i \(0.996019\pi\)
\(380\) 7.29426 0.374188
\(381\) 4.87902 0.249960
\(382\) −2.10418 + 2.63856i −0.107659 + 0.135000i
\(383\) 0.154874 + 0.0745836i 0.00791371 + 0.00381104i 0.437836 0.899055i \(-0.355745\pi\)
−0.429923 + 0.902866i \(0.641459\pi\)
\(384\) −4.98034 21.8203i −0.254152 1.11351i
\(385\) 8.05607 35.2960i 0.410576 1.79885i
\(386\) 2.00454 0.102028
\(387\) 7.36009 + 1.14431i 0.374134 + 0.0581686i
\(388\) 23.0667 1.17103
\(389\) 0.179725 0.787427i 0.00911242 0.0399241i −0.970167 0.242436i \(-0.922053\pi\)
0.979280 + 0.202512i \(0.0649106\pi\)
\(390\) −0.653487 2.86311i −0.0330906 0.144979i
\(391\) 5.69941 + 2.74469i 0.288231 + 0.138805i
\(392\) −14.7838 + 18.5383i −0.746694 + 0.936325i
\(393\) −14.1566 −0.714105
\(394\) 0.463560 0.0233538
\(395\) 15.6536 19.6290i 0.787620 0.987644i
\(396\) 4.82805 2.32507i 0.242619 0.116839i
\(397\) −7.76949 9.74263i −0.389940 0.488969i 0.547652 0.836706i \(-0.315522\pi\)
−0.937592 + 0.347737i \(0.886950\pi\)
\(398\) −8.92428 + 4.29771i −0.447334 + 0.215424i
\(399\) 2.77634 12.1639i 0.138991 0.608958i
\(400\) 7.22400 9.05861i 0.361200 0.452931i
\(401\) 3.16920 13.8852i 0.158262 0.693392i −0.832070 0.554671i \(-0.812844\pi\)
0.990332 0.138720i \(-0.0442989\pi\)
\(402\) −7.45822 3.59169i −0.371982 0.179137i
\(403\) −6.17951 7.74887i −0.307824 0.385998i
\(404\) 16.2594 + 20.3887i 0.808938 + 1.01438i
\(405\) −7.47256 32.7394i −0.371315 1.62684i
\(406\) 17.9987 + 8.66774i 0.893263 + 0.430173i
\(407\) 20.5777 9.90971i 1.02000 0.491206i
\(408\) −0.778358 3.41021i −0.0385345 0.168830i
\(409\) −0.223957 0.981220i −0.0110740 0.0485182i 0.969089 0.246711i \(-0.0793499\pi\)
−0.980163 + 0.198193i \(0.936493\pi\)
\(410\) 4.95850 2.38789i 0.244883 0.117929i
\(411\) 6.39925 + 3.08171i 0.315652 + 0.152010i
\(412\) 7.11583 + 31.1765i 0.350572 + 1.53596i
\(413\) −8.16663 10.2406i −0.401854 0.503908i
\(414\) −2.03072 2.54644i −0.0998044 0.125151i
\(415\) 17.5326 + 8.44326i 0.860642 + 0.414464i
\(416\) −1.10619 + 4.84653i −0.0542354 + 0.237621i
\(417\) −2.26573 + 2.84114i −0.110953 + 0.139131i
\(418\) −0.356816 + 1.56331i −0.0174524 + 0.0764641i
\(419\) −14.8511 + 7.15191i −0.725524 + 0.349394i −0.759922 0.650014i \(-0.774763\pi\)
0.0343983 + 0.999408i \(0.489049\pi\)
\(420\) −31.3361 39.2942i −1.52904 1.91736i
\(421\) −27.0626 + 13.0326i −1.31895 + 0.635172i −0.955100 0.296285i \(-0.904252\pi\)
−0.363850 + 0.931458i \(0.618538\pi\)
\(422\) −2.10471 + 2.63922i −0.102456 + 0.128475i
\(423\) 6.44365 0.313301
\(424\) −10.4851 −0.509204
\(425\) 2.57133 3.22434i 0.124728 0.156403i
\(426\) 13.1834 + 6.34878i 0.638737 + 0.307600i
\(427\) −6.10983 26.7689i −0.295675 1.29544i
\(428\) −5.37815 + 23.5632i −0.259963 + 1.13897i
\(429\) −5.63872 −0.272240
\(430\) 0.629394 + 8.95621i 0.0303521 + 0.431907i
\(431\) 17.1975 0.828373 0.414186 0.910192i \(-0.364066\pi\)
0.414186 + 0.910192i \(0.364066\pi\)
\(432\) −2.37000 + 10.3836i −0.114027 + 0.499583i
\(433\) −3.73750 16.3750i −0.179613 0.786934i −0.981809 0.189874i \(-0.939192\pi\)
0.802196 0.597061i \(-0.203665\pi\)
\(434\) 17.4969 + 8.42608i 0.839879 + 0.404465i
\(435\) −37.0248 + 46.4276i −1.77520 + 2.22603i
\(436\) −27.3990 −1.31218
\(437\) −8.51243 −0.407205
\(438\) −4.20704 + 5.27547i −0.201020 + 0.252072i
\(439\) 16.8986 8.13791i 0.806524 0.388401i 0.0152655 0.999883i \(-0.495141\pi\)
0.791258 + 0.611482i \(0.209426\pi\)
\(440\) 8.51574 + 10.6784i 0.405972 + 0.509073i
\(441\) −14.1084 + 6.79424i −0.671828 + 0.323535i
\(442\) −0.106379 + 0.466079i −0.00505995 + 0.0221691i
\(443\) 13.0866 16.4101i 0.621764 0.779667i −0.366828 0.930289i \(-0.619556\pi\)
0.988591 + 0.150622i \(0.0481276\pi\)
\(444\) 7.05539 30.9117i 0.334834 1.46700i
\(445\) −14.4938 6.97983i −0.687070 0.330876i
\(446\) −4.06261 5.09435i −0.192370 0.241225i
\(447\) 21.7610 + 27.2874i 1.02926 + 1.29065i
\(448\) 3.53291 + 15.4787i 0.166914 + 0.731299i
\(449\) −11.7524 5.65965i −0.554629 0.267095i 0.135505 0.990777i \(-0.456734\pi\)
−0.690134 + 0.723681i \(0.742449\pi\)
\(450\) −1.91310 + 0.921301i −0.0901845 + 0.0434305i
\(451\) −2.35140 10.3021i −0.110723 0.485109i
\(452\) −2.49989 10.9527i −0.117585 0.515173i
\(453\) 37.7776 18.1927i 1.77495 0.854770i
\(454\) 4.91852 + 2.36863i 0.230837 + 0.111165i
\(455\) 3.23200 + 14.1603i 0.151518 + 0.663845i
\(456\) 2.93475 + 3.68006i 0.137432 + 0.172335i
\(457\) 5.48721 + 6.88075i 0.256681 + 0.321868i 0.893429 0.449204i \(-0.148292\pi\)
−0.636748 + 0.771072i \(0.719721\pi\)
\(458\) −3.71506 1.78908i −0.173593 0.0835980i
\(459\) −0.843582 + 3.69597i −0.0393750 + 0.172513i
\(460\) −21.3795 + 26.8090i −0.996822 + 1.24998i
\(461\) 1.62739 7.13007i 0.0757952 0.332081i −0.922787 0.385310i \(-0.874094\pi\)
0.998582 + 0.0532297i \(0.0169516\pi\)
\(462\) 9.95445 4.79381i 0.463123 0.223028i
\(463\) −10.4269 13.0749i −0.484580 0.607644i 0.478094 0.878309i \(-0.341328\pi\)
−0.962674 + 0.270665i \(0.912756\pi\)
\(464\) 24.4689 11.7836i 1.13594 0.547040i
\(465\) −35.9925 + 45.1331i −1.66911 + 2.09300i
\(466\) 3.42614 0.158713
\(467\) −20.9837 −0.971010 −0.485505 0.874234i \(-0.661364\pi\)
−0.485505 + 0.874234i \(0.661364\pi\)
\(468\) −1.34041 + 1.68083i −0.0619607 + 0.0776962i
\(469\) 36.8866 + 17.7637i 1.70327 + 0.820250i
\(470\) 1.72833 + 7.57232i 0.0797221 + 0.349285i
\(471\) 0.789195 3.45769i 0.0363642 0.159322i
\(472\) 4.94145 0.227449
\(473\) 17.0342 + 2.64840i 0.783234 + 0.121773i
\(474\) 7.66197 0.351926
\(475\) −1.23490 + 5.41046i −0.0566612 + 0.248249i
\(476\) 1.82057 + 7.97643i 0.0834457 + 0.365599i
\(477\) −6.23872 3.00441i −0.285651 0.137562i
\(478\) −2.59766 + 3.25736i −0.118814 + 0.148988i
\(479\) −9.71425 −0.443856 −0.221928 0.975063i \(-0.571235\pi\)
−0.221928 + 0.975063i \(0.571235\pi\)
\(480\) 28.9545 1.32159
\(481\) −5.71300 + 7.16387i −0.260490 + 0.326645i
\(482\) −7.95197 + 3.82947i −0.362202 + 0.174427i
\(483\) 36.5693 + 45.8565i 1.66396 + 2.08654i
\(484\) −6.61099 + 3.18369i −0.300500 + 0.144713i
\(485\) −8.63969 + 37.8529i −0.392308 + 1.71881i
\(486\) 3.17554 3.98200i 0.144045 0.180627i
\(487\) 6.22970 27.2941i 0.282295 1.23681i −0.612548 0.790433i \(-0.709856\pi\)
0.894843 0.446381i \(-0.147287\pi\)
\(488\) 9.33272 + 4.49440i 0.422472 + 0.203452i
\(489\) −6.38557 8.00725i −0.288765 0.362100i
\(490\) −11.7685 14.7572i −0.531647 0.666665i
\(491\) 6.45611 + 28.2861i 0.291360 + 1.27653i 0.882634 + 0.470062i \(0.155768\pi\)
−0.591273 + 0.806471i \(0.701375\pi\)
\(492\) −13.2168 6.36489i −0.595861 0.286952i
\(493\) 8.70951 4.19428i 0.392256 0.188901i
\(494\) −0.143150 0.627181i −0.00644062 0.0282182i
\(495\) 2.00713 + 8.79380i 0.0902137 + 0.395252i
\(496\) 23.7867 11.4551i 1.06805 0.514347i
\(497\) −65.2020 31.3996i −2.92471 1.40847i
\(498\) 1.32149 + 5.78981i 0.0592172 + 0.259448i
\(499\) 13.0093 + 16.3131i 0.582376 + 0.730276i 0.982516 0.186178i \(-0.0596100\pi\)
−0.400140 + 0.916454i \(0.631039\pi\)
\(500\) −2.96032 3.71212i −0.132389 0.166011i
\(501\) 25.3518 + 12.2088i 1.13264 + 0.545448i
\(502\) −1.93323 + 8.47001i −0.0862841 + 0.378035i
\(503\) 11.3666 14.2532i 0.506810 0.635519i −0.460940 0.887431i \(-0.652488\pi\)
0.967750 + 0.251912i \(0.0810593\pi\)
\(504\) 1.98205 8.68391i 0.0882874 0.386812i
\(505\) −39.5483 + 19.0455i −1.75988 + 0.847512i
\(506\) −4.69990 5.89349i −0.208936 0.261998i
\(507\) −21.7816 + 10.4895i −0.967355 + 0.465854i
\(508\) 2.68430 3.36600i 0.119096 0.149342i
\(509\) −24.2242 −1.07372 −0.536860 0.843672i \(-0.680390\pi\)
−0.536860 + 0.843672i \(0.680390\pi\)
\(510\) 2.78448 0.123299
\(511\) 20.8071 26.0913i 0.920451 1.15421i
\(512\) −20.6381 9.93876i −0.912082 0.439235i
\(513\) −1.13517 4.97351i −0.0501190 0.219586i
\(514\) 2.25090 9.86183i 0.0992829 0.434987i
\(515\) −53.8266 −2.37188
\(516\) 17.6184 16.1960i 0.775608 0.712990i
\(517\) 14.9132 0.655882
\(518\) 3.99515 17.5039i 0.175537 0.769076i
\(519\) 3.62959 + 15.9023i 0.159321 + 0.698033i
\(520\) −4.93685 2.37746i −0.216495 0.104259i
\(521\) 11.3757 14.2647i 0.498380 0.624949i −0.467483 0.884002i \(-0.654839\pi\)
0.965863 + 0.259053i \(0.0834105\pi\)
\(522\) −4.97719 −0.217846
\(523\) 13.4133 0.586522 0.293261 0.956032i \(-0.405259\pi\)
0.293261 + 0.956032i \(0.405259\pi\)
\(524\) −7.78854 + 9.76652i −0.340244 + 0.426653i
\(525\) 34.4513 16.5909i 1.50358 0.724085i
\(526\) −1.92583 2.41491i −0.0839702 0.105295i
\(527\) 8.46668 4.07734i 0.368814 0.177612i
\(528\) 3.34234 14.6437i 0.145457 0.637287i
\(529\) 10.6096 13.3041i 0.461289 0.578438i
\(530\) 1.85730 8.13735i 0.0806758 0.353464i
\(531\) 2.94019 + 1.41592i 0.127593 + 0.0614457i
\(532\) −6.86435 8.60762i −0.297607 0.373188i
\(533\) 2.64321 + 3.31448i 0.114490 + 0.143566i
\(534\) −1.09244 4.78629i −0.0472744 0.207123i
\(535\) −36.6533 17.6513i −1.58466 0.763133i
\(536\) −13.9158 + 6.70152i −0.601073 + 0.289461i
\(537\) −10.2723 45.0060i −0.443284 1.94215i
\(538\) 0.419409 + 1.83755i 0.0180820 + 0.0792225i
\(539\) −32.6525 + 15.7246i −1.40644 + 0.677307i
\(540\) −18.5146 8.91615i −0.796741 0.383690i
\(541\) −6.43716 28.2031i −0.276755 1.21254i −0.901869 0.432010i \(-0.857804\pi\)
0.625113 0.780534i \(-0.285053\pi\)
\(542\) −0.778942 0.976763i −0.0334584 0.0419556i
\(543\) −4.47128 5.60681i −0.191881 0.240611i
\(544\) −4.24665 2.04508i −0.182074 0.0876821i
\(545\) 10.2624 44.9624i 0.439592 1.92598i
\(546\) −2.76366 + 3.46551i −0.118274 + 0.148310i
\(547\) −2.63309 + 11.5363i −0.112583 + 0.493258i 0.886926 + 0.461912i \(0.152837\pi\)
−0.999509 + 0.0313460i \(0.990021\pi\)
\(548\) 5.64673 2.71932i 0.241217 0.116164i
\(549\) 4.26520 + 5.34839i 0.182034 + 0.228264i
\(550\) −4.42769 + 2.13226i −0.188797 + 0.0909200i
\(551\) −8.11048 + 10.1702i −0.345518 + 0.433266i
\(552\) −22.1273 −0.941800
\(553\) −37.8944 −1.61143
\(554\) 3.82924 4.80172i 0.162689 0.204005i
\(555\) 48.0842 + 23.1561i 2.04106 + 0.982922i
\(556\) 0.713540 + 3.12622i 0.0302608 + 0.132581i
\(557\) 4.97805 21.8103i 0.210927 0.924131i −0.753012 0.658007i \(-0.771400\pi\)
0.963939 0.266124i \(-0.0857431\pi\)
\(558\) −4.83842 −0.204827
\(559\) −6.61814 + 2.00784i −0.279918 + 0.0849226i
\(560\) −38.6900 −1.63495
\(561\) 1.18968 5.21232i 0.0502283 0.220064i
\(562\) −0.896744 3.92889i −0.0378269 0.165730i
\(563\) 5.60281 + 2.69817i 0.236130 + 0.113714i 0.548207 0.836342i \(-0.315310\pi\)
−0.312077 + 0.950057i \(0.601025\pi\)
\(564\) 12.9081 16.1863i 0.543530 0.681565i
\(565\) 18.9100 0.795550
\(566\) −10.7697 −0.452686
\(567\) −31.6022 + 39.6279i −1.32717 + 1.66421i
\(568\) 24.5981 11.8458i 1.03211 0.497040i
\(569\) −7.38522 9.26078i −0.309605 0.388232i 0.602548 0.798083i \(-0.294152\pi\)
−0.912153 + 0.409851i \(0.865581\pi\)
\(570\) −3.37588 + 1.62574i −0.141400 + 0.0680948i
\(571\) −6.83563 + 29.9488i −0.286062 + 1.25332i 0.603817 + 0.797123i \(0.293646\pi\)
−0.889879 + 0.456197i \(0.849211\pi\)
\(572\) −3.10226 + 3.89011i −0.129712 + 0.162654i
\(573\) −3.36933 + 14.7620i −0.140756 + 0.616692i
\(574\) −7.48409 3.60415i −0.312380 0.150434i
\(575\) −16.2659 20.3967i −0.678333 0.850603i
\(576\) −2.46628 3.09262i −0.102762 0.128859i
\(577\) −0.0853944 0.374138i −0.00355502 0.0155755i 0.973119 0.230302i \(-0.0739713\pi\)
−0.976674 + 0.214726i \(0.931114\pi\)
\(578\) −0.408390 0.196670i −0.0169868 0.00818040i
\(579\) 8.10295 3.90218i 0.336747 0.162169i
\(580\) 11.6601 + 51.0862i 0.484159 + 2.12124i
\(581\) −6.53577 28.6351i −0.271149 1.18798i
\(582\) −10.6756 + 5.14109i −0.442517 + 0.213105i
\(583\) −14.4389 6.95342i −0.597999 0.287981i
\(584\) 2.80152 + 12.2742i 0.115928 + 0.507912i
\(585\) −2.25622 2.82921i −0.0932831 0.116973i
\(586\) −1.13911 1.42840i −0.0470564 0.0590068i
\(587\) 41.0807 + 19.7834i 1.69558 + 0.816549i 0.994648 + 0.103321i \(0.0329470\pi\)
0.700933 + 0.713227i \(0.252767\pi\)
\(588\) −11.1954 + 49.0503i −0.461691 + 2.02280i
\(589\) −7.88436 + 9.88667i −0.324869 + 0.407373i
\(590\) −0.875308 + 3.83497i −0.0360358 + 0.157883i
\(591\) 1.87385 0.902399i 0.0770799 0.0371197i
\(592\) −15.2182 19.0830i −0.625464 0.784307i
\(593\) −16.3844 + 7.89032i −0.672828 + 0.324017i −0.738916 0.673797i \(-0.764662\pi\)
0.0660888 + 0.997814i \(0.478948\pi\)
\(594\) 2.81660 3.53191i 0.115567 0.144916i
\(595\) −13.7714 −0.564573
\(596\) 30.7977 1.26152
\(597\) −27.7084 + 34.7453i −1.13403 + 1.42203i
\(598\) 2.72469 + 1.31214i 0.111421 + 0.0536574i
\(599\) 7.51779 + 32.9376i 0.307169 + 1.34579i 0.859059 + 0.511877i \(0.171050\pi\)
−0.551890 + 0.833917i \(0.686093\pi\)
\(600\) −3.21002 + 14.0640i −0.131048 + 0.574160i
\(601\) 3.78318 0.154319 0.0771595 0.997019i \(-0.475415\pi\)
0.0771595 + 0.997019i \(0.475415\pi\)
\(602\) 9.97652 9.17107i 0.406612 0.373785i
\(603\) −10.2003 −0.415386
\(604\) 8.23311 36.0716i 0.335001 1.46773i
\(605\) −2.74833 12.0412i −0.111736 0.489546i
\(606\) −12.0693 5.81228i −0.490283 0.236108i
\(607\) 19.2675 24.1607i 0.782044 0.980653i −0.217945 0.975961i \(-0.569935\pi\)
0.999989 0.00469143i \(-0.00149333\pi\)
\(608\) 6.34265 0.257228
\(609\) 89.6296 3.63198
\(610\) −5.14119 + 6.44685i −0.208161 + 0.261025i
\(611\) −5.39049 + 2.59592i −0.218076 + 0.105020i
\(612\) −1.27092 1.59368i −0.0513738 0.0644207i
\(613\) 17.1133 8.24134i 0.691200 0.332865i −0.0550934 0.998481i \(-0.517546\pi\)
0.746294 + 0.665617i \(0.231831\pi\)
\(614\) −0.607629 + 2.66220i −0.0245219 + 0.107438i
\(615\) 15.3953 19.3051i 0.620800 0.778458i
\(616\) 4.58725 20.0981i 0.184826 0.809775i
\(617\) −11.2982 5.44091i −0.454847 0.219043i 0.192410 0.981315i \(-0.438370\pi\)
−0.647257 + 0.762272i \(0.724084\pi\)
\(618\) −10.2419 12.8429i −0.411990 0.516619i
\(619\) −12.7818 16.0279i −0.513745 0.644216i 0.455523 0.890224i \(-0.349452\pi\)
−0.969268 + 0.246008i \(0.920881\pi\)
\(620\) 11.3350 + 49.6619i 0.455225 + 1.99447i
\(621\) 21.6066 + 10.4052i 0.867042 + 0.417546i
\(622\) 4.34975 2.09473i 0.174409 0.0839910i
\(623\) 5.40295 + 23.6719i 0.216465 + 0.948394i
\(624\) 1.34090 + 5.87488i 0.0536791 + 0.235183i
\(625\) 25.7788 12.4144i 1.03115 0.496577i
\(626\) 3.22577 + 1.55345i 0.128928 + 0.0620883i
\(627\) 1.60090 + 7.01398i 0.0639336 + 0.280112i
\(628\) −1.95124 2.44678i −0.0778631 0.0976372i
\(629\) −5.41680 6.79245i −0.215982 0.270833i
\(630\) 6.38835 + 3.07647i 0.254518 + 0.122569i
\(631\) 6.34332 27.7919i 0.252523 1.10638i −0.676525 0.736420i \(-0.736515\pi\)
0.929048 0.369958i \(-0.120628\pi\)
\(632\) 8.91342 11.1771i 0.354557 0.444600i
\(633\) −3.37018 + 14.7657i −0.133952 + 0.586884i
\(634\) 6.72377 3.23800i 0.267035 0.128597i
\(635\) 4.51827 + 5.66573i 0.179302 + 0.224838i
\(636\) −20.0446 + 9.65297i −0.794820 + 0.382765i
\(637\) 9.06532 11.3676i 0.359181 0.450399i
\(638\) −11.5192 −0.456050
\(639\) 18.0303 0.713268
\(640\) 20.7266 25.9903i 0.819291 1.02736i
\(641\) −23.1560 11.1513i −0.914605 0.440451i −0.0834631 0.996511i \(-0.526598\pi\)
−0.831142 + 0.556060i \(0.812312\pi\)
\(642\) −2.76267 12.1041i −0.109034 0.477709i
\(643\) 5.31329 23.2791i 0.209536 0.918036i −0.755341 0.655332i \(-0.772529\pi\)
0.964876 0.262704i \(-0.0846143\pi\)
\(644\) 51.7555 2.03945
\(645\) 19.9790 + 34.9785i 0.786672 + 1.37728i
\(646\) 0.609956 0.0239984
\(647\) 1.07392 4.70515i 0.0422202 0.184979i −0.949421 0.314007i \(-0.898329\pi\)
0.991641 + 0.129028i \(0.0411857\pi\)
\(648\) −4.25500 18.6424i −0.167152 0.732341i
\(649\) 6.80478 + 3.27701i 0.267111 + 0.128634i
\(650\) 1.22926 1.54144i 0.0482156 0.0604604i
\(651\) 87.1307 3.41492
\(652\) −9.03730 −0.353928
\(653\) −18.6773 + 23.4206i −0.730900 + 0.916519i −0.998900 0.0468997i \(-0.985066\pi\)
0.268000 + 0.963419i \(0.413637\pi\)
\(654\) 12.6807 6.10668i 0.495853 0.238790i
\(655\) −13.1099 16.4392i −0.512245 0.642334i
\(656\) −10.1745 + 4.89976i −0.397246 + 0.191303i
\(657\) −1.85014 + 8.10599i −0.0721808 + 0.316245i
\(658\) 7.30928 9.16555i 0.284945 0.357310i
\(659\) 2.26882 9.94037i 0.0883809 0.387222i −0.911320 0.411700i \(-0.864935\pi\)
0.999700 + 0.0244780i \(0.00779237\pi\)
\(660\) 26.1105 + 12.5742i 1.01635 + 0.489449i
\(661\) 9.84159 + 12.3410i 0.382793 + 0.480008i 0.935479 0.353382i \(-0.114968\pi\)
−0.552686 + 0.833390i \(0.686397\pi\)
\(662\) 2.93277 + 3.67758i 0.113985 + 0.142933i
\(663\) 0.477284 + 2.09112i 0.0185362 + 0.0812123i
\(664\) 9.98335 + 4.80773i 0.387429 + 0.186576i
\(665\) 16.6964 8.04054i 0.647457 0.311799i
\(666\) 0.995370 + 4.36100i 0.0385698 + 0.168985i
\(667\) −13.6074 59.6178i −0.526880 2.30841i
\(668\) 22.3706 10.7731i 0.865544 0.416824i
\(669\) −26.3393 12.6844i −1.01834 0.490406i
\(670\) −2.73594 11.9869i −0.105699 0.463096i
\(671\) 9.87138 + 12.3783i 0.381081 + 0.477860i
\(672\) −27.2480 34.1679i −1.05111 1.31805i
\(673\) 7.92222 + 3.81514i 0.305379 + 0.147063i 0.580297 0.814405i \(-0.302936\pi\)
−0.274918 + 0.961468i \(0.588651\pi\)
\(674\) 3.27930 14.3676i 0.126314 0.553418i
\(675\) 9.74796 12.2236i 0.375199 0.470485i
\(676\) −4.74700 + 20.7980i −0.182577 + 0.799922i
\(677\) 5.37035 2.58622i 0.206399 0.0993966i −0.327828 0.944737i \(-0.606317\pi\)
0.534228 + 0.845341i \(0.320603\pi\)
\(678\) 3.59812 + 4.51190i 0.138185 + 0.173278i
\(679\) 52.7990 25.4267i 2.02624 0.975786i
\(680\) 3.23928 4.06193i 0.124221 0.155768i
\(681\) 24.4931 0.938577
\(682\) −11.1981 −0.428796
\(683\) −14.9077 + 18.6936i −0.570427 + 0.715292i −0.980447 0.196784i \(-0.936950\pi\)
0.410020 + 0.912076i \(0.365522\pi\)
\(684\) 2.47133 + 1.19013i 0.0944938 + 0.0455058i
\(685\) 2.34747 + 10.2849i 0.0896923 + 0.392968i
\(686\) −3.12048 + 13.6717i −0.119141 + 0.521989i
\(687\) −18.5001 −0.705824
\(688\) −1.29147 18.3774i −0.0492367 0.700634i
\(689\) 6.42942 0.244942
\(690\) 3.91954 17.1726i 0.149214 0.653750i
\(691\) 8.55490 + 37.4815i 0.325444 + 1.42586i 0.827713 + 0.561151i \(0.189641\pi\)
−0.502270 + 0.864711i \(0.667502\pi\)
\(692\) 12.9678 + 6.24495i 0.492960 + 0.237397i
\(693\) 8.48833 10.6440i 0.322445 0.404333i
\(694\) 10.9898 0.417165
\(695\) −5.39746 −0.204737
\(696\) −21.0825 + 26.4366i −0.799129 + 1.00208i
\(697\) −3.62152 + 1.74403i −0.137175 + 0.0660599i
\(698\) −5.12333 6.42445i −0.193921 0.243169i
\(699\) 13.8495 6.66956i 0.523836 0.252266i
\(700\) 7.50818 32.8955i 0.283783 1.24333i
\(701\) 6.27092 7.86348i 0.236849 0.297000i −0.649174 0.760640i \(-0.724885\pi\)
0.886024 + 0.463640i \(0.153457\pi\)
\(702\) −0.403287 + 1.76692i −0.0152211 + 0.0666879i
\(703\) 10.5331 + 5.07248i 0.397264 + 0.191312i
\(704\) −5.70797 7.15757i −0.215127 0.269761i
\(705\) 21.7273 + 27.2451i 0.818296 + 1.02611i
\(706\) −2.01127 8.81197i −0.0756953 0.331643i
\(707\) 59.6921 + 28.7462i 2.24495 + 1.08111i
\(708\) 9.44663 4.54926i 0.355026 0.170972i
\(709\) −3.24207 14.2044i −0.121758 0.533458i −0.998610 0.0526980i \(-0.983218\pi\)
0.876852 0.480760i \(-0.159639\pi\)
\(710\) 4.83613 + 21.1885i 0.181497 + 0.795190i
\(711\) 8.50621 4.09637i 0.319008 0.153626i
\(712\) −8.25298 3.97442i −0.309293 0.148948i
\(713\) −13.2280 57.9556i −0.495392 2.17046i
\(714\) −2.62037 3.28584i −0.0980648 0.122969i
\(715\) −5.22180 6.54793i −0.195284 0.244879i
\(716\) −36.7009 17.6742i −1.37158 0.660516i
\(717\) −4.15952 + 18.2240i −0.155340 + 0.680590i
\(718\) −7.01742 + 8.79957i −0.261888 + 0.328397i
\(719\) 7.57086 33.1701i 0.282346 1.23704i −0.612432 0.790524i \(-0.709808\pi\)
0.894777 0.446513i \(-0.147334\pi\)
\(720\) 8.68481 4.18239i 0.323664 0.155868i
\(721\) 50.6541 + 63.5183i 1.88646 + 2.36554i
\(722\) 7.01990 3.38061i 0.261254 0.125813i
\(723\) −24.6896 + 30.9597i −0.918215 + 1.15141i
\(724\) −6.32806 −0.235181
\(725\) −39.8668 −1.48062
\(726\) 2.35008 2.94691i 0.0872197 0.109370i
\(727\) −23.8171 11.4697i −0.883326 0.425387i −0.0634875 0.997983i \(-0.520222\pi\)
−0.819838 + 0.572595i \(0.805937\pi\)
\(728\) 1.84035 + 8.06309i 0.0682079 + 0.298838i
\(729\) −2.33672 + 10.2379i −0.0865453 + 0.379180i
\(730\) −10.0221 −0.370934
\(731\) −0.459688 6.54131i −0.0170022 0.241939i
\(732\) 21.9792 0.812374
\(733\) 4.12508 18.0731i 0.152363 0.667547i −0.839831 0.542847i \(-0.817346\pi\)
0.992195 0.124699i \(-0.0397966\pi\)
\(734\) −2.26584 9.92727i −0.0836335 0.366422i
\(735\) −76.2994 36.7439i −2.81435 1.35532i
\(736\) −18.5903 + 23.3115i −0.685247 + 0.859273i
\(737\) −23.6075 −0.869593
\(738\) 2.06957 0.0761821
\(739\) 13.7530 17.2457i 0.505911 0.634392i −0.461640 0.887067i \(-0.652739\pi\)
0.967551 + 0.252675i \(0.0813103\pi\)
\(740\) 42.4297 20.4331i 1.55975 0.751135i
\(741\) −1.79957 2.25659i −0.0661089 0.0828979i
\(742\) −11.3503 + 5.46604i −0.416684 + 0.200664i
\(743\) −8.25424 + 36.1642i −0.302819 + 1.32674i 0.563033 + 0.826435i \(0.309635\pi\)
−0.865851 + 0.500301i \(0.833223\pi\)
\(744\) −20.4947 + 25.6995i −0.751371 + 0.942190i
\(745\) −11.5353 + 50.5396i −0.422622 + 1.85163i
\(746\) 3.90327 + 1.87972i 0.142909 + 0.0688213i
\(747\) 4.56254 + 5.72125i 0.166935 + 0.209330i
\(748\) −2.94142 3.68842i −0.107549 0.134862i
\(749\) 13.6635 + 59.8639i 0.499255 + 2.18738i
\(750\) 2.19743 + 1.05823i 0.0802388 + 0.0386410i
\(751\) 15.3727 7.40311i 0.560958 0.270143i −0.131845 0.991270i \(-0.542090\pi\)
0.692803 + 0.721127i \(0.256376\pi\)
\(752\) −3.54640 15.5378i −0.129324 0.566606i
\(753\) 8.67365 + 38.0017i 0.316085 + 1.38486i
\(754\) 4.16371 2.00514i 0.151633 0.0730228i
\(755\) 56.1106 + 27.0214i 2.04207 + 0.983411i
\(756\) 6.90182 + 30.2389i 0.251017 + 1.09978i
\(757\) −19.8731 24.9201i −0.722301 0.905736i 0.276165 0.961110i \(-0.410936\pi\)
−0.998466 + 0.0553739i \(0.982365\pi\)
\(758\) −6.96783 8.73739i