Properties

Label 475.2.v.b.113.40
Level $475$
Weight $2$
Character 475.113
Analytic conductor $3.793$
Analytic rank $0$
Dimension $368$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.v (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(368\)
Relative dimension: \(46\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 113.40
Character \(\chi\) \(=\) 475.113
Dual form 475.2.v.b.227.40

$q$-expansion

\(f(q)\) \(=\) \(q+(0.342643 + 2.16336i) q^{2} +(1.83797 + 0.936494i) q^{3} +(-2.66063 + 0.864490i) q^{4} +(2.23140 - 0.144412i) q^{5} +(-1.39621 + 4.29709i) q^{6} +(2.03794 - 2.03794i) q^{7} +(-0.793074 - 1.55649i) q^{8} +(0.737769 + 1.01545i) q^{9} +O(q^{10})\) \(q+(0.342643 + 2.16336i) q^{2} +(1.83797 + 0.936494i) q^{3} +(-2.66063 + 0.864490i) q^{4} +(2.23140 - 0.144412i) q^{5} +(-1.39621 + 4.29709i) q^{6} +(2.03794 - 2.03794i) q^{7} +(-0.793074 - 1.55649i) q^{8} +(0.737769 + 1.01545i) q^{9} +(1.07699 + 4.77785i) q^{10} +(-3.85460 - 2.80053i) q^{11} +(-5.69975 - 0.902752i) q^{12} +(-0.439617 + 2.77563i) q^{13} +(5.10710 + 3.71053i) q^{14} +(4.23649 + 1.82427i) q^{15} +(-1.43100 + 1.03969i) q^{16} +(3.20131 + 6.28292i) q^{17} +(-1.94400 + 1.94400i) q^{18} +(-4.19944 - 1.16820i) q^{19} +(-5.81208 + 2.31325i) q^{20} +(5.65421 - 1.83716i) q^{21} +(4.73782 - 9.29849i) q^{22} +(-0.767791 - 4.84764i) q^{23} -3.60351i q^{24} +(4.95829 - 0.644483i) q^{25} -6.15534 q^{26} +(-0.563047 - 3.55494i) q^{27} +(-3.66042 + 7.18399i) q^{28} +(1.29261 + 3.97824i) q^{29} +(-2.49495 + 9.79015i) q^{30} +(-5.55484 - 1.80488i) q^{31} +(-5.21003 - 5.21003i) q^{32} +(-4.46197 - 8.75711i) q^{33} +(-12.4953 + 9.07839i) q^{34} +(4.25316 - 4.84177i) q^{35} +(-2.84078 - 2.06394i) q^{36} +(8.85636 + 1.40271i) q^{37} +(1.08832 - 9.48520i) q^{38} +(-3.40737 + 4.68984i) q^{39} +(-1.99444 - 3.35863i) q^{40} +(-5.47309 - 7.53307i) q^{41} +(5.91183 + 11.6026i) q^{42} +(-4.90816 - 4.90816i) q^{43} +(12.6767 + 4.11891i) q^{44} +(1.79290 + 2.15934i) q^{45} +(10.2241 - 3.32202i) q^{46} +(5.61240 + 2.85966i) q^{47} +(-3.60381 + 0.570787i) q^{48} -1.30642i q^{49} +(3.09318 + 10.5058i) q^{50} +14.5458i q^{51} +(-1.22985 - 7.76497i) q^{52} +(-3.16859 - 1.61448i) q^{53} +(7.49770 - 2.43615i) q^{54} +(-9.00559 - 5.69245i) q^{55} +(-4.78829 - 1.55581i) q^{56} +(-6.62445 - 6.07987i) q^{57} +(-8.16347 + 4.15950i) q^{58} +(10.1340 - 7.36278i) q^{59} +(-12.8488 - 1.19129i) q^{60} +(-7.74658 - 5.62822i) q^{61} +(2.00128 - 12.6356i) q^{62} +(3.57296 + 0.565902i) q^{63} +(7.40663 - 10.1944i) q^{64} +(-0.580126 + 6.25703i) q^{65} +(17.4160 - 12.6534i) q^{66} +(-8.80397 + 4.48585i) q^{67} +(-13.9490 - 13.9490i) q^{68} +(3.12861 - 9.62887i) q^{69} +(11.9318 + 7.54214i) q^{70} +(3.59902 - 1.16939i) q^{71} +(0.995440 - 1.95366i) q^{72} +(0.501005 + 3.16322i) q^{73} +19.6402i q^{74} +(9.71676 + 3.45887i) q^{75} +(12.1830 - 0.522241i) q^{76} +(-13.5628 + 2.14813i) q^{77} +(-11.3133 - 5.76444i) q^{78} +(2.61894 + 8.06027i) q^{79} +(-3.04300 + 2.52661i) q^{80} +(3.45792 - 10.6424i) q^{81} +(14.4215 - 14.4215i) q^{82} +(8.18299 - 4.16944i) q^{83} +(-13.4555 + 9.77601i) q^{84} +(8.05073 + 13.5574i) q^{85} +(8.93640 - 12.2999i) q^{86} +(-1.34982 + 8.52241i) q^{87} +(-1.30203 + 8.22070i) q^{88} +(1.80948 + 1.31466i) q^{89} +(-4.05710 + 4.61858i) q^{90} +(4.76067 + 6.55250i) q^{91} +(6.23355 + 12.2340i) q^{92} +(-8.51939 - 8.51939i) q^{93} +(-4.26344 + 13.1215i) q^{94} +(-9.53934 - 2.00026i) q^{95} +(-4.69673 - 14.4550i) q^{96} +(-6.64153 + 13.0347i) q^{97} +(2.82627 - 0.447638i) q^{98} -5.98031i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 368q - 20q^{4} - 16q^{5} - 12q^{6} - 8q^{7} - 20q^{9} + O(q^{10}) \) \( 368q - 20q^{4} - 16q^{5} - 12q^{6} - 8q^{7} - 20q^{9} - 12q^{11} + 56q^{16} + 20q^{17} + 10q^{19} - 52q^{20} + 32q^{23} - 16q^{25} - 32q^{26} - 40q^{28} - 60q^{30} - 84q^{35} - 96q^{36} + 16q^{38} - 100q^{39} - 20q^{42} + 56q^{43} - 160q^{44} + 100q^{45} - 56q^{47} - 20q^{54} + 20q^{55} + 70q^{57} - 72q^{58} - 12q^{61} + 72q^{62} - 160q^{63} + 40q^{64} + 36q^{66} + 176q^{68} - 48q^{73} - 32q^{76} - 156q^{77} + 288q^{80} + 16q^{81} - 108q^{82} + 136q^{83} - 88q^{85} + 152q^{87} - 200q^{92} - 164q^{93} + 46q^{95} + 44q^{96} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{19}{20}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.342643 + 2.16336i 0.242285 + 1.52973i 0.746051 + 0.665889i \(0.231948\pi\)
−0.503766 + 0.863840i \(0.668052\pi\)
\(3\) 1.83797 + 0.936494i 1.06115 + 0.540685i 0.895299 0.445465i \(-0.146962\pi\)
0.165855 + 0.986150i \(0.446962\pi\)
\(4\) −2.66063 + 0.864490i −1.33031 + 0.432245i
\(5\) 2.23140 0.144412i 0.997912 0.0645831i
\(6\) −1.39621 + 4.29709i −0.570000 + 1.75428i
\(7\) 2.03794 2.03794i 0.770270 0.770270i −0.207883 0.978154i \(-0.566657\pi\)
0.978154 + 0.207883i \(0.0666575\pi\)
\(8\) −0.793074 1.55649i −0.280394 0.550304i
\(9\) 0.737769 + 1.01545i 0.245923 + 0.338484i
\(10\) 1.07699 + 4.77785i 0.340574 + 1.51089i
\(11\) −3.85460 2.80053i −1.16221 0.844392i −0.172151 0.985071i \(-0.555072\pi\)
−0.990055 + 0.140678i \(0.955072\pi\)
\(12\) −5.69975 0.902752i −1.64538 0.260602i
\(13\) −0.439617 + 2.77563i −0.121928 + 0.769822i 0.848636 + 0.528978i \(0.177424\pi\)
−0.970564 + 0.240845i \(0.922576\pi\)
\(14\) 5.10710 + 3.71053i 1.36493 + 0.991680i
\(15\) 4.23649 + 1.82427i 1.09386 + 0.471024i
\(16\) −1.43100 + 1.03969i −0.357751 + 0.259921i
\(17\) 3.20131 + 6.28292i 0.776431 + 1.52383i 0.850143 + 0.526552i \(0.176516\pi\)
−0.0737117 + 0.997280i \(0.523484\pi\)
\(18\) −1.94400 + 1.94400i −0.458205 + 0.458205i
\(19\) −4.19944 1.16820i −0.963418 0.268003i
\(20\) −5.81208 + 2.31325i −1.29962 + 0.517258i
\(21\) 5.65421 1.83716i 1.23385 0.400902i
\(22\) 4.73782 9.29849i 1.01011 1.98244i
\(23\) −0.767791 4.84764i −0.160096 1.01080i −0.928633 0.370999i \(-0.879015\pi\)
0.768538 0.639805i \(-0.220985\pi\)
\(24\) 3.60351i 0.735562i
\(25\) 4.95829 0.644483i 0.991658 0.128897i
\(26\) −6.15534 −1.20716
\(27\) −0.563047 3.55494i −0.108358 0.684148i
\(28\) −3.66042 + 7.18399i −0.691755 + 1.35765i
\(29\) 1.29261 + 3.97824i 0.240031 + 0.738740i 0.996414 + 0.0846108i \(0.0269647\pi\)
−0.756383 + 0.654129i \(0.773035\pi\)
\(30\) −2.49495 + 9.79015i −0.455513 + 1.78743i
\(31\) −5.55484 1.80488i −0.997678 0.324165i −0.235741 0.971816i \(-0.575752\pi\)
−0.761937 + 0.647651i \(0.775752\pi\)
\(32\) −5.21003 5.21003i −0.921011 0.921011i
\(33\) −4.46197 8.75711i −0.776730 1.52442i
\(34\) −12.4953 + 9.07839i −2.14293 + 1.55693i
\(35\) 4.25316 4.84177i 0.718916 0.818408i
\(36\) −2.84078 2.06394i −0.473463 0.343991i
\(37\) 8.85636 + 1.40271i 1.45598 + 0.230604i 0.833711 0.552202i \(-0.186212\pi\)
0.622266 + 0.782806i \(0.286212\pi\)
\(38\) 1.08832 9.48520i 0.176550 1.53870i
\(39\) −3.40737 + 4.68984i −0.545616 + 0.750976i
\(40\) −1.99444 3.35863i −0.315349 0.531047i
\(41\) −5.47309 7.53307i −0.854754 1.17647i −0.982795 0.184699i \(-0.940869\pi\)
0.128041 0.991769i \(-0.459131\pi\)
\(42\) 5.91183 + 11.6026i 0.912215 + 1.79032i
\(43\) −4.90816 4.90816i −0.748488 0.748488i 0.225707 0.974195i \(-0.427531\pi\)
−0.974195 + 0.225707i \(0.927531\pi\)
\(44\) 12.6767 + 4.11891i 1.91108 + 0.620948i
\(45\) 1.79290 + 2.15934i 0.267270 + 0.321895i
\(46\) 10.2241 3.32202i 1.50747 0.489806i
\(47\) 5.61240 + 2.85966i 0.818653 + 0.417124i 0.812575 0.582857i \(-0.198065\pi\)
0.00607810 + 0.999982i \(0.498065\pi\)
\(48\) −3.60381 + 0.570787i −0.520165 + 0.0823860i
\(49\) 1.30642i 0.186632i
\(50\) 3.09318 + 10.5058i 0.437441 + 1.48574i
\(51\) 14.5458i 2.03683i
\(52\) −1.22985 7.76497i −0.170550 1.07681i
\(53\) −3.16859 1.61448i −0.435239 0.221765i 0.222622 0.974905i \(-0.428538\pi\)
−0.657861 + 0.753140i \(0.728538\pi\)
\(54\) 7.49770 2.43615i 1.02031 0.331518i
\(55\) −9.00559 5.69245i −1.21431 0.767570i
\(56\) −4.78829 1.55581i −0.639862 0.207904i
\(57\) −6.62445 6.07987i −0.877430 0.805298i
\(58\) −8.16347 + 4.15950i −1.07192 + 0.546169i
\(59\) 10.1340 7.36278i 1.31933 0.958553i 0.319394 0.947622i \(-0.396521\pi\)
0.999940 0.0109308i \(-0.00347944\pi\)
\(60\) −12.8488 1.19129i −1.65877 0.153794i
\(61\) −7.74658 5.62822i −0.991847 0.720619i −0.0315226 0.999503i \(-0.510036\pi\)
−0.960325 + 0.278884i \(0.910036\pi\)
\(62\) 2.00128 12.6356i 0.254162 1.60472i
\(63\) 3.57296 + 0.565902i 0.450151 + 0.0712969i
\(64\) 7.40663 10.1944i 0.925829 1.27429i
\(65\) −0.580126 + 6.25703i −0.0719558 + 0.776089i
\(66\) 17.4160 12.6534i 2.14376 1.55753i
\(67\) −8.80397 + 4.48585i −1.07558 + 0.548033i −0.899758 0.436389i \(-0.856257\pi\)
−0.175818 + 0.984423i \(0.556257\pi\)
\(68\) −13.9490 13.9490i −1.69157 1.69157i
\(69\) 3.12861 9.62887i 0.376640 1.15918i
\(70\) 11.9318 + 7.54214i 1.42613 + 0.901458i
\(71\) 3.59902 1.16939i 0.427125 0.138781i −0.0875626 0.996159i \(-0.527908\pi\)
0.514688 + 0.857378i \(0.327908\pi\)
\(72\) 0.995440 1.95366i 0.117314 0.230241i
\(73\) 0.501005 + 3.16322i 0.0586382 + 0.370227i 0.999505 + 0.0314510i \(0.0100128\pi\)
−0.940867 + 0.338776i \(0.889987\pi\)
\(74\) 19.6402i 2.28312i
\(75\) 9.71676 + 3.45887i 1.12199 + 0.399396i
\(76\) 12.1830 0.522241i 1.39749 0.0599051i
\(77\) −13.5628 + 2.14813i −1.54562 + 0.244803i
\(78\) −11.3133 5.76444i −1.28098 0.652694i
\(79\) 2.61894 + 8.06027i 0.294654 + 0.906851i 0.983338 + 0.181789i \(0.0581888\pi\)
−0.688684 + 0.725062i \(0.741811\pi\)
\(80\) −3.04300 + 2.52661i −0.340218 + 0.282484i
\(81\) 3.45792 10.6424i 0.384213 1.18249i
\(82\) 14.4215 14.4215i 1.59258 1.59258i
\(83\) 8.18299 4.16944i 0.898200 0.457656i 0.0569962 0.998374i \(-0.481848\pi\)
0.841203 + 0.540719i \(0.181848\pi\)
\(84\) −13.4555 + 9.77601i −1.46812 + 1.06665i
\(85\) 8.05073 + 13.5574i 0.873224 + 1.47051i
\(86\) 8.93640 12.2999i 0.963637 1.32633i
\(87\) −1.34982 + 8.52241i −0.144716 + 0.913698i
\(88\) −1.30203 + 8.22070i −0.138797 + 0.876329i
\(89\) 1.80948 + 1.31466i 0.191804 + 0.139354i 0.679543 0.733636i \(-0.262178\pi\)
−0.487739 + 0.872990i \(0.662178\pi\)
\(90\) −4.05710 + 4.61858i −0.427656 + 0.486841i
\(91\) 4.76067 + 6.55250i 0.499054 + 0.686888i
\(92\) 6.23355 + 12.2340i 0.649892 + 1.27549i
\(93\) −8.51939 8.51939i −0.883419 0.883419i
\(94\) −4.26344 + 13.1215i −0.439740 + 1.35338i
\(95\) −9.53934 2.00026i −0.978715 0.205223i
\(96\) −4.69673 14.4550i −0.479358 1.47531i
\(97\) −6.64153 + 13.0347i −0.674345 + 1.32348i 0.259480 + 0.965748i \(0.416449\pi\)
−0.933825 + 0.357729i \(0.883551\pi\)
\(98\) 2.82627 0.447638i 0.285497 0.0452182i
\(99\) 5.98031i 0.601043i
\(100\) −12.6350 + 6.00112i −1.26350 + 0.600112i
\(101\) 0.243805 0.0242595 0.0121298 0.999926i \(-0.496139\pi\)
0.0121298 + 0.999926i \(0.496139\pi\)
\(102\) −31.4680 + 4.98403i −3.11579 + 0.493493i
\(103\) 6.31136 + 3.21580i 0.621876 + 0.316862i 0.736387 0.676560i \(-0.236530\pi\)
−0.114511 + 0.993422i \(0.536530\pi\)
\(104\) 4.66891 1.51702i 0.457824 0.148756i
\(105\) 12.3515 4.91598i 1.20538 0.479751i
\(106\) 2.40700 7.40800i 0.233789 0.719528i
\(107\) −9.95521 9.95521i −0.962407 0.962407i 0.0369119 0.999319i \(-0.488248\pi\)
−0.999319 + 0.0369119i \(0.988248\pi\)
\(108\) 4.57127 + 8.97162i 0.439870 + 0.863294i
\(109\) −2.84253 + 2.06522i −0.272265 + 0.197812i −0.715537 0.698575i \(-0.753818\pi\)
0.443271 + 0.896387i \(0.353818\pi\)
\(110\) 9.22915 21.4328i 0.879965 2.04354i
\(111\) 14.9641 + 10.8721i 1.42033 + 1.03193i
\(112\) −0.797486 + 5.03513i −0.0753553 + 0.475775i
\(113\) −1.96693 + 12.4187i −0.185033 + 1.16826i 0.703927 + 0.710272i \(0.251428\pi\)
−0.888961 + 0.457983i \(0.848572\pi\)
\(114\) 10.8831 16.4143i 1.01930 1.53734i
\(115\) −2.41331 10.7062i −0.225042 0.998354i
\(116\) −6.87829 9.46715i −0.638633 0.879003i
\(117\) −3.14286 + 1.60137i −0.290557 + 0.148046i
\(118\) 19.4007 + 19.4007i 1.78598 + 1.78598i
\(119\) 19.3283 + 6.28015i 1.77182 + 0.575700i
\(120\) −0.520390 8.04086i −0.0475049 0.734027i
\(121\) 3.61579 + 11.1282i 0.328708 + 1.01166i
\(122\) 9.52157 18.6871i 0.862043 1.69185i
\(123\) −3.00473 18.9711i −0.270927 1.71057i
\(124\) 16.3396 1.46734
\(125\) 10.9709 2.15414i 0.981263 0.192672i
\(126\) 7.92352i 0.705884i
\(127\) 2.90107 + 18.3166i 0.257428 + 1.62534i 0.690051 + 0.723761i \(0.257588\pi\)
−0.432623 + 0.901575i \(0.642412\pi\)
\(128\) 11.4619 + 5.84013i 1.01310 + 0.516199i
\(129\) −4.42461 13.6175i −0.389565 1.19896i
\(130\) −13.7350 + 0.888906i −1.20464 + 0.0779622i
\(131\) −1.74840 + 5.38103i −0.152759 + 0.470143i −0.997927 0.0643575i \(-0.979500\pi\)
0.845168 + 0.534500i \(0.179500\pi\)
\(132\) 19.4421 + 19.4421i 1.69222 + 1.69222i
\(133\) −10.9389 + 6.17751i −0.948527 + 0.535658i
\(134\) −12.7211 17.5091i −1.09894 1.51256i
\(135\) −1.76976 7.85118i −0.152317 0.675722i
\(136\) 7.24046 9.96564i 0.620864 0.854546i
\(137\) 1.59147 10.0481i 0.135968 0.858469i −0.821559 0.570124i \(-0.806895\pi\)
0.957527 0.288345i \(-0.0931049\pi\)
\(138\) 21.9028 + 3.46906i 1.86449 + 0.295306i
\(139\) 1.08167 1.48879i 0.0917462 0.126278i −0.760676 0.649131i \(-0.775133\pi\)
0.852423 + 0.522854i \(0.175133\pi\)
\(140\) −7.13042 + 16.5590i −0.602630 + 1.39949i
\(141\) 7.63739 + 10.5120i 0.643184 + 0.885267i
\(142\) 3.76300 + 7.38531i 0.315784 + 0.619762i
\(143\) 9.46780 9.46780i 0.791737 0.791737i
\(144\) −2.11150 0.686068i −0.175958 0.0571724i
\(145\) 3.45883 + 8.69037i 0.287240 + 0.721696i
\(146\) −6.67153 + 2.16771i −0.552140 + 0.179401i
\(147\) 1.22346 2.40117i 0.100909 0.198045i
\(148\) −24.7761 + 3.92415i −2.03658 + 0.322563i
\(149\) 6.76123i 0.553902i −0.960884 0.276951i \(-0.910676\pi\)
0.960884 0.276951i \(-0.0893239\pi\)
\(150\) −4.15341 + 22.2060i −0.339124 + 1.81312i
\(151\) 3.70965i 0.301887i 0.988542 + 0.150943i \(0.0482312\pi\)
−0.988542 + 0.150943i \(0.951769\pi\)
\(152\) 1.51218 + 7.46288i 0.122654 + 0.605319i
\(153\) −4.01818 + 7.88612i −0.324850 + 0.637555i
\(154\) −9.29439 28.6052i −0.748963 2.30507i
\(155\) −12.6557 3.22521i −1.01653 0.259055i
\(156\) 5.01142 15.4236i 0.401234 1.23487i
\(157\) −0.787025 + 0.787025i −0.0628114 + 0.0628114i −0.737815 0.675003i \(-0.764142\pi\)
0.675003 + 0.737815i \(0.264142\pi\)
\(158\) −16.5399 + 8.42752i −1.31585 + 0.670457i
\(159\) −4.31183 5.93473i −0.341950 0.470654i
\(160\) −12.3780 10.8733i −0.978570 0.859607i
\(161\) −11.4439 8.31451i −0.901909 0.655275i
\(162\) 24.2082 + 3.83420i 1.90197 + 0.301243i
\(163\) 13.4970 + 2.13772i 1.05717 + 0.167439i 0.660731 0.750623i \(-0.270246\pi\)
0.396437 + 0.918062i \(0.370246\pi\)
\(164\) 21.0741 + 15.3112i 1.64561 + 1.19561i
\(165\) −11.2211 18.8963i −0.873560 1.47107i
\(166\) 11.8239 + 16.2742i 0.917710 + 1.26312i
\(167\) −3.82408 + 1.94847i −0.295916 + 0.150777i −0.595645 0.803247i \(-0.703104\pi\)
0.299729 + 0.954024i \(0.403104\pi\)
\(168\) −7.34374 7.34374i −0.566582 0.566582i
\(169\) 4.85286 + 1.57679i 0.373297 + 0.121291i
\(170\) −26.5711 + 22.0620i −2.03791 + 1.69208i
\(171\) −1.91197 5.12619i −0.146212 0.392010i
\(172\) 17.3019 + 8.81573i 1.31925 + 0.672193i
\(173\) −10.4626 + 1.65711i −0.795455 + 0.125988i −0.540918 0.841075i \(-0.681923\pi\)
−0.254537 + 0.967063i \(0.581923\pi\)
\(174\) −18.8996 −1.43277
\(175\) 8.79129 11.4181i 0.664559 0.863130i
\(176\) 8.42763 0.635256
\(177\) 25.5212 4.04217i 1.91829 0.303828i
\(178\) −2.22409 + 4.36502i −0.166702 + 0.327172i
\(179\) 2.44265 + 7.51770i 0.182572 + 0.561900i 0.999898 0.0142762i \(-0.00454439\pi\)
−0.817326 + 0.576176i \(0.804544\pi\)
\(180\) −6.63696 4.19524i −0.494690 0.312695i
\(181\) −8.50748 2.76425i −0.632356 0.205465i −0.0247377 0.999694i \(-0.507875\pi\)
−0.607619 + 0.794229i \(0.707875\pi\)
\(182\) −12.5442 + 12.5442i −0.929840 + 0.929840i
\(183\) −8.96721 17.5991i −0.662875 1.30097i
\(184\) −6.93642 + 5.03960i −0.511360 + 0.371524i
\(185\) 19.9646 + 1.85104i 1.46783 + 0.136091i
\(186\) 15.5114 21.3496i 1.13735 1.56543i
\(187\) 5.25575 33.1835i 0.384339 2.42662i
\(188\) −17.4047 2.75663i −1.26936 0.201048i
\(189\) −8.39222 6.09730i −0.610444 0.443514i
\(190\) 1.05871 21.3224i 0.0768068 1.54689i
\(191\) −5.86302 + 4.25973i −0.424233 + 0.308224i −0.779339 0.626603i \(-0.784445\pi\)
0.355106 + 0.934826i \(0.384445\pi\)
\(192\) 23.1601 11.8007i 1.67144 0.851641i
\(193\) 5.89497 5.89497i 0.424329 0.424329i −0.462362 0.886691i \(-0.652998\pi\)
0.886691 + 0.462362i \(0.152998\pi\)
\(194\) −30.4746 9.90179i −2.18795 0.710907i
\(195\) −6.92593 + 10.9570i −0.495976 + 0.784645i
\(196\) 1.12939 + 3.47591i 0.0806708 + 0.248279i
\(197\) 7.19689 + 3.66700i 0.512757 + 0.261263i 0.691169 0.722693i \(-0.257096\pi\)
−0.178412 + 0.983956i \(0.557096\pi\)
\(198\) 12.9376 2.04911i 0.919434 0.145624i
\(199\) 2.37190i 0.168140i −0.996460 0.0840698i \(-0.973208\pi\)
0.996460 0.0840698i \(-0.0267919\pi\)
\(200\) −4.93542 7.20643i −0.348987 0.509572i
\(201\) −20.3824 −1.43767
\(202\) 0.0835382 + 0.527439i 0.00587772 + 0.0371105i
\(203\) 10.7417 + 5.47316i 0.753918 + 0.384140i
\(204\) −12.5747 38.7011i −0.880408 2.70962i
\(205\) −13.3005 16.0189i −0.928949 1.11881i
\(206\) −4.79439 + 14.7556i −0.334041 + 1.02807i
\(207\) 4.35610 4.35610i 0.302770 0.302770i
\(208\) −2.25669 4.42901i −0.156473 0.307096i
\(209\) 12.9156 + 16.2636i 0.893391 + 1.12498i
\(210\) 14.8672 + 25.0363i 1.02594 + 1.72767i
\(211\) −4.21148 + 5.79661i −0.289930 + 0.399055i −0.928992 0.370101i \(-0.879323\pi\)
0.639061 + 0.769156i \(0.279323\pi\)
\(212\) 9.82612 + 1.55631i 0.674861 + 0.106887i
\(213\) 7.71004 + 1.22115i 0.528283 + 0.0836718i
\(214\) 18.1257 24.9478i 1.23904 1.70540i
\(215\) −11.6609 10.2433i −0.795265 0.698586i
\(216\) −5.08671 + 3.69571i −0.346106 + 0.251461i
\(217\) −14.9987 + 7.64221i −1.01818 + 0.518787i
\(218\) −5.44180 5.44180i −0.368565 0.368565i
\(219\) −2.04150 + 6.28310i −0.137952 + 0.424573i
\(220\) 28.8816 + 7.36026i 1.94720 + 0.496228i
\(221\) −18.8464 + 6.12358i −1.26775 + 0.411916i
\(222\) −18.3929 + 36.0981i −1.23445 + 2.42275i
\(223\) −18.1279 + 2.87118i −1.21394 + 0.192269i −0.730378 0.683043i \(-0.760656\pi\)
−0.483559 + 0.875312i \(0.660656\pi\)
\(224\) −21.2355 −1.41885
\(225\) 4.31251 + 4.55942i 0.287501 + 0.303962i
\(226\) −27.5402 −1.83195
\(227\) 1.93416 + 12.2118i 0.128375 + 0.810527i 0.964904 + 0.262604i \(0.0845812\pi\)
−0.836529 + 0.547923i \(0.815419\pi\)
\(228\) 22.8812 + 10.4495i 1.51534 + 0.692034i
\(229\) −1.59929 + 0.519640i −0.105684 + 0.0343387i −0.361382 0.932418i \(-0.617695\pi\)
0.255698 + 0.966757i \(0.417695\pi\)
\(230\) 22.3344 8.88926i 1.47269 0.586140i
\(231\) −26.9397 8.75326i −1.77251 0.575922i
\(232\) 5.16697 5.16697i 0.339228 0.339228i
\(233\) −17.1730 + 8.75006i −1.12504 + 0.573235i −0.914595 0.404371i \(-0.867490\pi\)
−0.210443 + 0.977606i \(0.567490\pi\)
\(234\) −4.54122 6.25045i −0.296869 0.408605i
\(235\) 12.9365 + 5.57055i 0.843883 + 0.363382i
\(236\) −20.5977 + 28.3504i −1.34080 + 1.84545i
\(237\) −2.73485 + 17.2672i −0.177648 + 1.12162i
\(238\) −6.96354 + 43.9660i −0.451379 + 2.84989i
\(239\) −5.09458 + 7.01209i −0.329541 + 0.453574i −0.941350 0.337431i \(-0.890442\pi\)
0.611809 + 0.791005i \(0.290442\pi\)
\(240\) −7.95911 + 1.79409i −0.513758 + 0.115808i
\(241\) −1.66493 2.29158i −0.107247 0.147613i 0.752020 0.659141i \(-0.229080\pi\)
−0.859267 + 0.511527i \(0.829080\pi\)
\(242\) −22.8355 + 11.6353i −1.46792 + 0.747944i
\(243\) 8.68692 8.68692i 0.557266 0.557266i
\(244\) 25.4763 + 8.27775i 1.63095 + 0.529928i
\(245\) −0.188664 2.91516i −0.0120533 0.186242i
\(246\) 40.0118 13.0006i 2.55106 0.828890i
\(247\) 5.08863 11.1426i 0.323782 0.708984i
\(248\) 1.59612 + 10.0775i 0.101353 + 0.639920i
\(249\) 18.9448 1.20058
\(250\) 8.41927 + 22.9959i 0.532481 + 1.45439i
\(251\) 15.8555 1.00079 0.500394 0.865798i \(-0.333189\pi\)
0.500394 + 0.865798i \(0.333189\pi\)
\(252\) −9.99554 + 1.58314i −0.629660 + 0.0997283i
\(253\) −10.6165 + 20.8360i −0.667451 + 1.30995i
\(254\) −38.6315 + 12.5521i −2.42395 + 0.787590i
\(255\) 2.10060 + 32.4576i 0.131545 + 2.03257i
\(256\) −0.919191 + 2.82898i −0.0574494 + 0.176811i
\(257\) −12.9476 12.9476i −0.807648 0.807648i 0.176630 0.984277i \(-0.443480\pi\)
−0.984277 + 0.176630i \(0.943480\pi\)
\(258\) 27.9436 14.2380i 1.73970 0.886419i
\(259\) 20.9074 15.1901i 1.29912 0.943868i
\(260\) −3.86564 17.1491i −0.239737 1.06354i
\(261\) −3.08606 + 4.24760i −0.191022 + 0.262920i
\(262\) −12.2402 1.93866i −0.756203 0.119771i
\(263\) −27.6801 4.38409i −1.70683 0.270335i −0.774664 0.632374i \(-0.782081\pi\)
−0.932163 + 0.362039i \(0.882081\pi\)
\(264\) −10.0917 + 13.8901i −0.621103 + 0.854875i
\(265\) −7.30353 3.14496i −0.448652 0.193193i
\(266\) −17.1124 21.5482i −1.04923 1.32121i
\(267\) 2.09460 + 4.11088i 0.128187 + 0.251582i
\(268\) 19.5461 19.5461i 1.19397 1.19397i
\(269\) 6.80918 20.9565i 0.415163 1.27774i −0.496942 0.867784i \(-0.665544\pi\)
0.912105 0.409957i \(-0.134456\pi\)
\(270\) 16.3786 6.51879i 0.996767 0.396721i
\(271\) 4.73078 + 14.5598i 0.287374 + 0.884447i 0.985677 + 0.168645i \(0.0539390\pi\)
−0.698303 + 0.715803i \(0.746061\pi\)
\(272\) −11.1133 5.66253i −0.673846 0.343342i
\(273\) 2.61361 + 16.5017i 0.158183 + 0.998725i
\(274\) 22.2830 1.34617
\(275\) −20.9171 11.4016i −1.26135 0.687544i
\(276\) 28.3235i 1.70487i
\(277\) 13.2659 2.10111i 0.797071 0.126244i 0.255402 0.966835i \(-0.417792\pi\)
0.541670 + 0.840591i \(0.317792\pi\)
\(278\) 3.59143 + 1.82992i 0.215400 + 0.109752i
\(279\) −2.26542 6.97225i −0.135627 0.417418i
\(280\) −10.9093 2.78014i −0.651953 0.166145i
\(281\) 0.909555 + 0.295532i 0.0542595 + 0.0176300i 0.336021 0.941854i \(-0.390919\pi\)
−0.281761 + 0.959484i \(0.590919\pi\)
\(282\) −20.1243 + 20.1243i −1.19838 + 1.19838i
\(283\) 0.0520166 0.0265038i 0.00309207 0.00157549i −0.452444 0.891793i \(-0.649448\pi\)
0.455536 + 0.890217i \(0.349448\pi\)
\(284\) −8.56473 + 6.22264i −0.508223 + 0.369246i
\(285\) −15.6598 12.6100i −0.927607 0.746950i
\(286\) 23.7264 + 17.2382i 1.40297 + 1.01932i
\(287\) −26.5058 4.19811i −1.56459 0.247807i
\(288\) 1.44673 9.13432i 0.0852497 0.538245i
\(289\) −19.2344 + 26.4738i −1.13143 + 1.55728i
\(290\) −17.6153 + 10.4604i −1.03441 + 0.614256i
\(291\) −24.4139 + 17.7377i −1.43117 + 1.03981i
\(292\) −4.06756 7.98303i −0.238036 0.467172i
\(293\) 11.0134 11.0134i 0.643408 0.643408i −0.307984 0.951392i \(-0.599654\pi\)
0.951392 + 0.307984i \(0.0996542\pi\)
\(294\) 5.61382 + 1.82404i 0.327405 + 0.106380i
\(295\) 21.5497 17.8928i 1.25467 1.04176i
\(296\) −4.84044 14.8973i −0.281345 0.865890i
\(297\) −7.78540 + 15.2797i −0.451755 + 0.886618i
\(298\) 14.6270 2.31669i 0.847320 0.134202i
\(299\) 13.7928 0.797659
\(300\) −28.8428 0.802714i −1.66524 0.0463447i
\(301\) −20.0051 −1.15308
\(302\) −8.02532 + 1.27109i −0.461805 + 0.0731428i
\(303\) 0.448107 + 0.228322i 0.0257431 + 0.0131168i
\(304\) 7.22398 2.69441i 0.414324 0.154535i
\(305\) −18.0985 11.4401i −1.03632 0.655058i
\(306\) −18.4373 5.99065i −1.05399 0.342463i
\(307\) 17.5050 + 17.5050i 0.999062 + 0.999062i 1.00000 0.000937332i \(-0.000298362\pi\)
−0.000937332 1.00000i \(0.500298\pi\)
\(308\) 34.2285 17.4403i 1.95035 0.993752i
\(309\) 8.58853 + 11.8211i 0.488584 + 0.672479i
\(310\) 2.64092 28.4840i 0.149994 1.61778i
\(311\) −5.62399 4.08607i −0.318907 0.231700i 0.416802 0.908997i \(-0.363151\pi\)
−0.735709 + 0.677298i \(0.763151\pi\)
\(312\) 10.0020 + 1.58416i 0.566252 + 0.0896855i
\(313\) −2.28848 0.362460i −0.129353 0.0204875i 0.0914223 0.995812i \(-0.470859\pi\)
−0.220775 + 0.975325i \(0.570859\pi\)
\(314\) −1.97229 1.43295i −0.111303 0.0808662i
\(315\) 8.05443 + 0.746774i 0.453816 + 0.0420759i
\(316\) −13.9360 19.1813i −0.783964 1.07903i
\(317\) 12.3946 6.31538i 0.696151 0.354707i −0.0698396 0.997558i \(-0.522249\pi\)
0.765991 + 0.642851i \(0.222249\pi\)
\(318\) 11.3616 11.3616i 0.637124 0.637124i
\(319\) 6.15869 18.9545i 0.344820 1.06125i
\(320\) 15.0550 23.8173i 0.841598 1.33143i
\(321\) −8.97442 27.6204i −0.500903 1.54162i
\(322\) 14.0661 27.6063i 0.783874 1.53844i
\(323\) −6.10402 30.1245i −0.339637 1.67617i
\(324\) 31.3047i 1.73915i
\(325\) −0.390901 + 14.0457i −0.0216833 + 0.779116i
\(326\) 29.9314i 1.65775i
\(327\) −7.15857 + 1.13381i −0.395870 + 0.0626996i
\(328\) −7.38462 + 14.4931i −0.407747 + 0.800249i
\(329\) 17.2656 5.60993i 0.951882 0.309285i
\(330\) 37.0347 30.7500i 2.03869 1.69273i
\(331\) −19.8217 6.44045i −1.08950 0.353999i −0.291445 0.956588i \(-0.594136\pi\)
−0.798052 + 0.602589i \(0.794136\pi\)
\(332\) −18.1674 + 18.1674i −0.997068 + 0.997068i
\(333\) 5.10956 + 10.0281i 0.280002 + 0.549535i
\(334\) −5.52554 7.60525i −0.302344 0.416141i
\(335\) −18.9974 + 11.2811i −1.03794 + 0.616353i
\(336\) −6.18112 + 8.50759i −0.337208 + 0.464127i
\(337\) 9.38202 + 1.48597i 0.511071 + 0.0809457i 0.406644 0.913587i \(-0.366699\pi\)
0.104427 + 0.994533i \(0.466699\pi\)
\(338\) −1.74837 + 11.0388i −0.0950988 + 0.600430i
\(339\) −15.2452 + 20.9833i −0.828007 + 1.13965i
\(340\) −33.1402 29.1114i −1.79728 1.57879i
\(341\) 16.3571 + 22.5136i 0.885785 + 1.21918i
\(342\) 10.4347 5.89274i 0.564244 0.318643i
\(343\) 11.6032 + 11.6032i 0.626513 + 0.626513i
\(344\) −3.74700 + 11.5321i −0.202025 + 0.621768i
\(345\) 5.59065 21.9377i 0.300991 1.18108i
\(346\) −7.16986 22.0666i −0.385454 1.18631i
\(347\) 14.9026 + 7.59324i 0.800012 + 0.407627i 0.805675 0.592357i \(-0.201803\pi\)
−0.00566311 + 0.999984i \(0.501803\pi\)
\(348\) −3.77618 23.8419i −0.202424 1.27806i
\(349\) 4.76493i 0.255061i −0.991835 0.127530i \(-0.959295\pi\)
0.991835 0.127530i \(-0.0407050\pi\)
\(350\) 27.7139 + 15.1064i 1.48137 + 0.807472i
\(351\) 10.1147 0.539884
\(352\) 5.49173 + 34.6734i 0.292710 + 1.84810i
\(353\) 12.8576 25.2344i 0.684340 1.34309i −0.243422 0.969921i \(-0.578270\pi\)
0.927762 0.373173i \(-0.121730\pi\)
\(354\) 17.4894 + 53.8267i 0.929548 + 2.86086i
\(355\) 7.86198 3.12913i 0.417271 0.166077i
\(356\) −5.95086 1.93355i −0.315395 0.102478i
\(357\) 29.6436 + 29.6436i 1.56891 + 1.56891i
\(358\) −15.4266 + 7.86023i −0.815320 + 0.415426i
\(359\) 8.99362 + 12.3787i 0.474665 + 0.653320i 0.977469 0.211080i \(-0.0676982\pi\)
−0.502804 + 0.864401i \(0.667698\pi\)
\(360\) 1.93909 4.50315i 0.102199 0.237337i
\(361\) 16.2706 + 9.81155i 0.856349 + 0.516397i
\(362\) 3.06505 19.3519i 0.161095 1.01712i
\(363\) −3.77582 + 23.8396i −0.198179 + 1.25125i
\(364\) −18.3309 13.3182i −0.960802 0.698063i
\(365\) 1.57475 + 6.98605i 0.0824261 + 0.365667i
\(366\) 35.0008 25.4296i 1.82952 1.32922i
\(367\) −10.6003 20.8043i −0.553333 1.08598i −0.983105 0.183040i \(-0.941406\pi\)
0.429772 0.902937i \(-0.358594\pi\)
\(368\) 6.13874 + 6.13874i 0.320004 + 0.320004i
\(369\) 3.61159 11.1153i 0.188012 0.578641i
\(370\) 2.83628 + 43.8251i 0.147451 + 2.27836i
\(371\) −9.74761 + 3.16719i −0.506071 + 0.164432i
\(372\) 30.0318 + 15.3020i 1.55708 + 0.793371i
\(373\) 7.33448 1.16167i 0.379765 0.0601489i 0.0363662 0.999339i \(-0.488422\pi\)
0.343399 + 0.939190i \(0.388422\pi\)
\(374\) 73.5889 3.80519
\(375\) 22.1815 + 6.31490i 1.14545 + 0.326100i
\(376\) 11.0036i 0.567467i
\(377\) −11.6104 + 1.83890i −0.597965 + 0.0947083i
\(378\) 10.3152 20.2446i 0.530554 1.04127i
\(379\) −2.46885 7.59833i −0.126816 0.390300i 0.867411 0.497592i \(-0.165782\pi\)
−0.994228 + 0.107292i \(0.965782\pi\)
\(380\) 27.1098 2.92471i 1.39070 0.150034i
\(381\) −11.8213 + 36.3823i −0.605624 + 1.86392i
\(382\) −11.2243 11.2243i −0.574284 0.574284i
\(383\) −12.0967 23.7411i −0.618113 1.21311i −0.961729 0.274004i \(-0.911652\pi\)
0.343616 0.939110i \(-0.388348\pi\)
\(384\) 15.5974 + 21.4680i 0.795952 + 1.09553i
\(385\) −29.9538 + 6.75198i −1.52659 + 0.344113i
\(386\) 14.7728 + 10.7331i 0.751917 + 0.546300i
\(387\) 1.36291 8.60509i 0.0692808 0.437422i
\(388\) 6.40223 40.4221i 0.325024 2.05212i
\(389\) 7.48122 10.2970i 0.379313 0.522079i −0.576089 0.817387i \(-0.695422\pi\)
0.955402 + 0.295307i \(0.0954220\pi\)
\(390\) −26.0771 11.2290i −1.32046 0.568601i
\(391\) 27.9994 20.3428i 1.41599 1.02878i
\(392\) −2.03344 + 1.03609i −0.102704 + 0.0523305i
\(393\) −8.25282 + 8.25282i −0.416300 + 0.416300i
\(394\) −5.46709 + 16.8260i −0.275428 + 0.847680i
\(395\) 7.00790 + 17.6075i 0.352606 + 0.885928i
\(396\) 5.16992 + 15.9114i 0.259798 + 0.799576i
\(397\) 11.8673 + 6.04669i 0.595602 + 0.303475i 0.725683 0.688029i \(-0.241524\pi\)
−0.130081 + 0.991503i \(0.541524\pi\)
\(398\) 5.13129 0.812716i 0.257208 0.0407378i
\(399\) −25.8907 + 1.10983i −1.29616 + 0.0555612i
\(400\) −6.42528 + 6.07732i −0.321264 + 0.303866i
\(401\) 7.53916i 0.376487i 0.982122 + 0.188244i \(0.0602795\pi\)
−0.982122 + 0.188244i \(0.939721\pi\)
\(402\) −6.98390 44.0946i −0.348325 2.19924i
\(403\) 7.45168 14.6247i 0.371194 0.728510i
\(404\) −0.648674 + 0.210767i −0.0322728 + 0.0104861i
\(405\) 6.17911 24.2468i 0.307042 1.20483i
\(406\) −8.15987 + 25.1135i −0.404968 + 1.24636i
\(407\) −30.2094 30.2094i −1.49742 1.49742i
\(408\) 22.6405 11.5359i 1.12087 0.571114i
\(409\) −21.3360 + 15.5015i −1.05500 + 0.766500i −0.973156 0.230146i \(-0.926080\pi\)
−0.0818399 + 0.996645i \(0.526080\pi\)
\(410\) 30.0974 34.2627i 1.48640 1.69211i
\(411\) 12.3351 16.9778i 0.608445 0.837452i
\(412\) −19.5722 3.09993i −0.964252 0.152723i
\(413\) 5.64759 35.6575i 0.277900 1.75459i
\(414\) 10.9164 + 7.93123i 0.536512 + 0.389799i
\(415\) 17.6574 10.4854i 0.866768 0.514709i
\(416\) 16.7515 12.1707i 0.821312 0.596718i
\(417\) 3.38233 1.72338i 0.165633 0.0843944i
\(418\) −30.7587 + 33.5138i −1.50446 + 1.63921i
\(419\) −7.89707 2.56591i −0.385797 0.125353i 0.109695 0.993965i \(-0.465012\pi\)
−0.495493 + 0.868612i \(0.665012\pi\)
\(420\) −28.6129 + 23.7573i −1.39617 + 1.15924i
\(421\) 28.6590 9.31188i 1.39676 0.453833i 0.488615 0.872499i \(-0.337502\pi\)
0.908140 + 0.418666i \(0.137502\pi\)
\(422\) −13.9832 7.12480i −0.680692 0.346830i
\(423\) 1.23681 + 7.80889i 0.0601356 + 0.379681i
\(424\) 6.21229i 0.301695i
\(425\) 19.9222 + 29.0894i 0.966371 + 1.41104i
\(426\) 17.0980i 0.828403i
\(427\) −27.2571 + 4.31710i −1.31906 + 0.208919i
\(428\) 35.0933 + 17.8809i 1.69630 + 0.864307i
\(429\) 26.2681 8.53502i 1.26824 0.412075i
\(430\) 18.1644 28.7365i 0.875966 1.38580i
\(431\) 7.72669 + 2.51055i 0.372182 + 0.120929i 0.489135 0.872208i \(-0.337313\pi\)
−0.116953 + 0.993137i \(0.537313\pi\)
\(432\) 4.50174 + 4.50174i 0.216590 + 0.216590i
\(433\) 9.10745 + 17.8744i 0.437676 + 0.858988i 0.999497 + 0.0317287i \(0.0101012\pi\)
−0.561820 + 0.827259i \(0.689899\pi\)
\(434\) −21.6721 29.8291i −1.04029 1.43184i
\(435\) −1.78124 + 19.2118i −0.0854040 + 0.921137i
\(436\) 5.77756 7.95213i 0.276695 0.380838i
\(437\) −2.43871 + 21.2543i −0.116659 + 1.01673i
\(438\) −14.2921 2.26365i −0.682905 0.108162i
\(439\) −3.61300 2.62500i −0.172439 0.125284i 0.498218 0.867052i \(-0.333988\pi\)
−0.670657 + 0.741767i \(0.733988\pi\)
\(440\) −1.71818 + 18.5317i −0.0819111 + 0.883464i
\(441\) 1.32661 0.963839i 0.0631720 0.0458971i
\(442\) −19.7051 38.6735i −0.937277 1.83951i
\(443\) 21.2493 + 21.2493i 1.00958 + 1.00958i 0.999954 + 0.00963019i \(0.00306543\pi\)
0.00963019 + 0.999954i \(0.496935\pi\)
\(444\) −49.2127 15.9902i −2.33553 0.758861i
\(445\) 4.22752 + 2.67223i 0.200404 + 0.126676i
\(446\) −12.4228 38.2335i −0.588238 1.81041i
\(447\) 6.33186 12.4270i 0.299486 0.587775i
\(448\) −5.68122 35.8698i −0.268412 1.69469i
\(449\) −35.2650 −1.66426 −0.832130 0.554581i \(-0.812879\pi\)
−0.832130 + 0.554581i \(0.812879\pi\)
\(450\) −8.38604 + 10.8918i −0.395322 + 0.513444i
\(451\) 44.3646i 2.08905i
\(452\) −5.50259 34.7420i −0.258820 1.63413i
\(453\) −3.47407 + 6.81824i −0.163226 + 0.320349i
\(454\) −25.7559 + 8.36859i −1.20878 + 0.392757i
\(455\) 11.5692 + 13.9337i 0.542373 + 0.653224i
\(456\) −4.20960 + 15.1327i −0.197133 + 0.708654i
\(457\) 6.00466 6.00466i 0.280886 0.280886i −0.552576 0.833462i \(-0.686355\pi\)
0.833462 + 0.552576i \(0.186355\pi\)
\(458\) −1.67215 3.28179i −0.0781346 0.153348i
\(459\) 20.5329 14.9180i 0.958394 0.696314i
\(460\) 15.6763 + 26.3988i 0.730910 + 1.23085i
\(461\) 22.2393 + 16.1578i 1.03579 + 0.752543i 0.969459 0.245254i \(-0.0788715\pi\)
0.0663284 + 0.997798i \(0.478872\pi\)
\(462\) 9.70576 61.2797i 0.451553 2.85099i
\(463\) −17.1029 2.70884i −0.794840 0.125890i −0.254208 0.967150i \(-0.581815\pi\)
−0.540632 + 0.841259i \(0.681815\pi\)
\(464\) −5.98584 4.34897i −0.277886 0.201896i
\(465\) −20.2405 17.7799i −0.938629 0.824521i
\(466\) −24.8138 34.1532i −1.14948 1.58212i
\(467\) 9.48946 + 18.6241i 0.439120 + 0.861822i 0.999437 + 0.0335435i \(0.0106792\pi\)
−0.560317 + 0.828278i \(0.689321\pi\)
\(468\) 6.97761 6.97761i 0.322540 0.322540i
\(469\) −8.80009 + 27.0839i −0.406350 + 1.25062i
\(470\) −7.61853 + 29.8950i −0.351416 + 1.37895i
\(471\) −2.18357 + 0.709487i −0.100614 + 0.0326914i
\(472\) −19.4971 9.93429i −0.897429 0.457263i
\(473\) 5.17355 + 32.6645i 0.237880 + 1.50191i
\(474\) −38.2923 −1.75882
\(475\) −21.5749 3.08579i −0.989926 0.141586i
\(476\) −56.8546 −2.60592
\(477\) −0.698263 4.40866i −0.0319712 0.201858i
\(478\) −16.9153 8.61879i −0.773689 0.394214i
\(479\) −5.81670 + 1.88996i −0.265772 + 0.0863545i −0.438872 0.898550i \(-0.644622\pi\)
0.173100 + 0.984904i \(0.444622\pi\)
\(480\) −12.5678 31.5767i −0.573637 1.44127i
\(481\) −7.78681 + 23.9654i −0.355048 + 1.09273i
\(482\) 4.38704 4.38704i 0.199824 0.199824i
\(483\) −13.2472 25.9990i −0.602767 1.18300i
\(484\) −19.2405 26.4823i −0.874569 1.20374i
\(485\) −12.9375 + 30.0448i −0.587463 + 1.36427i
\(486\) 21.7695 + 15.8165i 0.987484 + 0.717449i
\(487\) 0.0716715 + 0.0113517i 0.00324775 + 0.000514393i 0.158058 0.987430i \(-0.449477\pi\)
−0.154810 + 0.987944i \(0.549477\pi\)
\(488\) −2.61668 + 16.5211i −0.118452 + 0.747875i
\(489\) 22.8052 + 16.5689i 1.03129 + 0.749274i
\(490\) 6.24190 1.40701i 0.281980 0.0635621i
\(491\) −0.141240 + 0.102617i −0.00637409 + 0.00463105i −0.590968 0.806695i \(-0.701254\pi\)
0.584594 + 0.811326i \(0.301254\pi\)
\(492\) 24.3948 + 47.8775i 1.09980 + 2.15848i
\(493\) −20.8569 + 20.8569i −0.939348 + 0.939348i
\(494\) 25.8490 + 7.19064i 1.16300 + 0.323522i
\(495\) −0.863629 13.3445i −0.0388173 0.599789i
\(496\) 9.82550 3.19250i 0.441178 0.143347i
\(497\) 4.95145 9.71776i 0.222103 0.435901i
\(498\) 6.49130 + 40.9844i 0.290882 + 1.83656i
\(499\) 7.22863i 0.323598i 0.986824 + 0.161799i \(0.0517296\pi\)
−0.986824 + 0.161799i \(0.948270\pi\)
\(500\) −27.3271 + 15.2155i −1.22211 + 0.680460i
\(501\) −8.85329 −0.395536
\(502\) 5.43276 + 34.3011i 0.242476 + 1.53093i
\(503\) 1.76506 3.46413i 0.0787002 0.154458i −0.848303 0.529511i \(-0.822375\pi\)
0.927003 + 0.375053i \(0.122375\pi\)
\(504\) −1.95280 6.01010i −0.0869846 0.267711i
\(505\) 0.544027 0.0352084i 0.0242089 0.00156675i
\(506\) −48.7134 15.8280i −2.16558 0.703638i
\(507\) 7.44277 + 7.44277i 0.330545 + 0.330545i
\(508\) −23.5532 46.2257i −1.04500 2.05093i
\(509\) −8.87552 + 6.44845i −0.393401 + 0.285822i −0.766848 0.641829i \(-0.778176\pi\)
0.373447 + 0.927652i \(0.378176\pi\)
\(510\) −69.4978 + 15.6657i −3.07742 + 0.693690i
\(511\) 7.46748 + 5.42544i 0.330342 + 0.240007i
\(512\) 18.9762 + 3.00553i 0.838636 + 0.132827i
\(513\) −1.78838 + 15.5865i −0.0789591 + 0.688161i
\(514\) 23.5739 32.4467i 1.03980 1.43116i
\(515\) 14.5476 + 6.26429i 0.641042 + 0.276038i
\(516\) 23.5445 + 32.4062i 1.03649 + 1.42660i
\(517\) −13.6250 26.7406i −0.599227 1.17605i
\(518\) 40.0255 + 40.0255i 1.75862 + 1.75862i
\(519\) −20.7818 6.75242i −0.912220 0.296398i
\(520\) 10.1991 4.05933i 0.447261 0.178013i
\(521\) 16.9745 5.51534i 0.743665 0.241631i 0.0874120 0.996172i \(-0.472140\pi\)
0.656253 + 0.754541i \(0.272140\pi\)
\(522\) −10.2465 5.22086i −0.448478 0.228511i
\(523\) 0.763352 0.120903i 0.0333791 0.00528672i −0.139723 0.990191i \(-0.544621\pi\)
0.173102 + 0.984904i \(0.444621\pi\)
\(524\) 15.8284i 0.691467i
\(525\) 26.8512 12.7532i 1.17188 0.556596i
\(526\) 61.3843i 2.67648i
\(527\) −6.44285 40.6786i −0.280655 1.77199i
\(528\) 15.4898 + 7.89242i 0.674105 + 0.343474i
\(529\) −1.03585 + 0.336567i −0.0450368 + 0.0146333i
\(530\) 4.30118 16.8778i 0.186831 0.733125i
\(531\) 14.9531 + 4.85856i 0.648909 + 0.210843i
\(532\) 23.7641 25.8926i 1.03030 1.12259i
\(533\) 23.3151 11.8796i 1.00989 0.514564i
\(534\) −8.17563 + 5.93994i −0.353794 + 0.257046i
\(535\) −23.6517 20.7764i −1.02255 0.898242i
\(536\) 13.9644 + 10.1457i 0.603170 + 0.438229i
\(537\) −2.55076 + 16.1049i −0.110073 + 0.694976i
\(538\) 47.6697 + 7.55013i 2.05518 + 0.325509i
\(539\) −3.65868 + 5.03575i −0.157591 + 0.216905i
\(540\) 11.4959 + 19.3591i 0.494706 + 0.833084i
\(541\) −14.3042 + 10.3926i −0.614985 + 0.446813i −0.851166 0.524896i \(-0.824104\pi\)
0.236181 + 0.971709i \(0.424104\pi\)
\(542\) −29.8773 + 15.2232i −1.28334 + 0.653894i
\(543\) −13.0478 13.0478i −0.559936 0.559936i
\(544\) 16.0553 49.4131i 0.688364 2.11857i
\(545\) −6.04459 + 5.01883i −0.258922 + 0.214983i
\(546\) −34.8035 + 11.3084i −1.48945 + 0.483953i
\(547\) −7.47867 + 14.6777i −0.319765 + 0.627574i −0.993807 0.111119i \(-0.964557\pi\)
0.674042 + 0.738693i \(0.264557\pi\)
\(548\) 4.45220 + 28.1101i 0.190189 + 1.20080i
\(549\) 12.0186i 0.512941i
\(550\) 17.4988 49.1581i 0.746149 2.09611i
\(551\) −0.780867 18.2164i −0.0332661 0.776044i
\(552\) −17.4685 + 2.76674i −0.743509 + 0.117760i
\(553\) 21.7636 + 11.0891i 0.925483 + 0.471557i
\(554\) 9.09095 + 27.9791i 0.386237 + 1.18872i
\(555\) 34.9610 + 22.0989i 1.48401 + 0.938048i
\(556\) −1.59088 + 4.89622i −0.0674682 + 0.207646i
\(557\) 22.8820 22.8820i 0.969541 0.969541i −0.0300082 0.999550i \(-0.509553\pi\)
0.999550 + 0.0300082i \(0.00955333\pi\)
\(558\) 14.3073 7.28993i 0.605676 0.308607i
\(559\) 15.7810 11.4656i 0.667464 0.484941i
\(560\) −1.05238 + 11.3505i −0.0444710 + 0.479648i
\(561\) 40.7361 56.0684i 1.71988 2.36721i
\(562\) −0.327691 + 2.06896i −0.0138228 + 0.0872738i
\(563\) 5.57089 35.1732i 0.234785 1.48237i −0.535424 0.844583i \(-0.679848\pi\)
0.770209 0.637791i \(-0.220152\pi\)
\(564\) −29.4077 21.3660i −1.23829 0.899669i
\(565\) −2.59560 + 27.9952i −0.109198 + 1.17777i
\(566\) 0.0751605 + 0.103449i 0.00315923 + 0.00434831i
\(567\) −14.6415 28.7356i −0.614886 1.20678i
\(568\) −4.67445 4.67445i −0.196135 0.196135i
\(569\) −8.63089 + 26.5631i −0.361826 + 1.11359i 0.590119 + 0.807316i \(0.299081\pi\)
−0.951945 + 0.306269i \(0.900919\pi\)
\(570\) 21.9142 38.1986i 0.917885 1.59996i
\(571\) −2.61210 8.03921i −0.109313 0.336431i 0.881406 0.472360i \(-0.156598\pi\)
−0.990718 + 0.135930i \(0.956598\pi\)
\(572\) −17.0055 + 33.3751i −0.711034 + 1.39548i
\(573\) −14.7653 + 2.33859i −0.616829 + 0.0976961i
\(574\) 58.7802i 2.45344i
\(575\) −6.93116 23.5412i −0.289049 0.981736i
\(576\) 15.8163 0.659011
\(577\) 1.85776 0.294240i 0.0773394 0.0122494i −0.117645 0.993056i \(-0.537534\pi\)
0.194984 + 0.980806i \(0.437534\pi\)
\(578\) −63.8630 32.5398i −2.65635 1.35348i
\(579\) 16.3554 5.31419i 0.679707 0.220850i
\(580\) −16.7154 20.1317i −0.694069 0.835923i
\(581\) 8.17938 25.1735i 0.339338 1.04437i
\(582\) −46.7385 46.7385i −1.93737 1.93737i
\(583\) 7.69225 + 15.0969i 0.318580 + 0.625249i
\(584\) 4.52620 3.28848i 0.187296 0.136078i
\(585\) −6.78171 + 4.02715i −0.280389 + 0.166502i
\(586\) 27.5996 + 20.0523i 1.14013 + 0.828352i
\(587\) 1.41593 8.93985i 0.0584418 0.368987i −0.941083 0.338175i \(-0.890191\pi\)
0.999525 0.0308124i \(-0.00980944\pi\)
\(588\) −1.17938 + 7.44630i −0.0486367 + 0.307080i
\(589\) 21.2188 + 14.0686i 0.874304 + 0.579687i
\(590\) 46.0925 + 40.4891i 1.89760 + 1.66691i
\(591\) 9.79357 + 13.4797i 0.402854 + 0.554480i
\(592\) −14.1319 + 7.20055i −0.580816 + 0.295941i
\(593\) −3.96168 3.96168i −0.162687 0.162687i 0.621069 0.783756i \(-0.286699\pi\)
−0.783756 + 0.621069i \(0.786699\pi\)
\(594\) −35.7232 11.6072i −1.46574 0.476248i
\(595\) 44.0361 + 11.2223i 1.80531 + 0.460069i
\(596\) 5.84502 + 17.9891i 0.239421 + 0.736863i
\(597\) 2.22127 4.35949i 0.0909106 0.178422i
\(598\) 4.72601 + 29.8389i 0.193261 + 1.22020i
\(599\) 32.9353 1.34570 0.672850 0.739779i \(-0.265070\pi\)
0.672850 + 0.739779i \(0.265070\pi\)
\(600\) −2.32240 17.8672i −0.0948115 0.729426i
\(601\) 28.7668i 1.17342i 0.809796 + 0.586711i \(0.199578\pi\)
−0.809796 + 0.586711i \(0.800422\pi\)
\(602\) −6.85462 43.2784i −0.279373 1.76389i
\(603\) −11.0505 5.63049i −0.450009 0.229291i
\(604\) −3.20696 9.86999i −0.130489 0.401604i
\(605\) 9.67532 + 24.3094i 0.393358 + 0.988318i
\(606\) −0.340403 + 1.04765i −0.0138279 + 0.0425580i
\(607\) −18.9669 18.9669i −0.769842 0.769842i 0.208236 0.978079i \(-0.433228\pi\)
−0.978079 + 0.208236i \(0.933228\pi\)
\(608\) 15.7929 + 27.9655i 0.640485 + 1.13415i
\(609\) 14.6173 + 20.1190i 0.592324 + 0.815265i
\(610\) 18.5478 43.0735i 0.750978 1.74400i
\(611\) −10.4047 + 14.3208i −0.420928 + 0.579358i
\(612\) 3.87340 24.4557i 0.156573 0.988562i
\(613\) −29.4085 4.65784i −1.18780 0.188129i −0.468904 0.883249i \(-0.655351\pi\)
−0.718893 + 0.695121i \(0.755351\pi\)
\(614\) −31.8717 + 43.8676i −1.28624 + 1.77035i
\(615\) −9.44441 41.8982i −0.380835 1.68950i
\(616\) 14.0998 + 19.4068i 0.568099 + 0.781921i
\(617\) 14.9502 + 29.3414i 0.601873 + 1.18124i 0.968064 + 0.250702i \(0.0806615\pi\)
−0.366191 + 0.930540i \(0.619338\pi\)
\(618\) −22.6305 + 22.6305i −0.910333 + 0.910333i
\(619\) −18.6903 6.07286i −0.751228 0.244089i −0.0917187 0.995785i \(-0.529236\pi\)
−0.659510 + 0.751696i \(0.729236\pi\)
\(620\) 36.4603 2.35964i 1.46428 0.0947656i
\(621\) −16.8008 + 5.45890i −0.674192 + 0.219058i
\(622\) 6.91263 13.5668i 0.277171 0.543979i
\(623\) 6.36682 1.00840i 0.255081 0.0404009i
\(624\) 10.2538i 0.410480i
\(625\) 24.1693 6.39107i 0.966771 0.255643i
\(626\) 5.07502i 0.202838i
\(627\) 8.50776 + 41.9875i 0.339767 + 1.67682i
\(628\) 1.41360 2.77435i 0.0564090 0.110709i
\(629\) 19.5388 + 60.1343i 0.779064 + 2.39771i
\(630\) 1.14425 + 17.6805i 0.0455882 + 0.704410i
\(631\) −11.3627 + 34.9707i −0.452341 + 1.39216i 0.421887 + 0.906648i \(0.361368\pi\)
−0.874228 + 0.485515i \(0.838632\pi\)
\(632\) 10.4688 10.4688i 0.416425 0.416425i
\(633\) −13.1691 + 6.70998i −0.523424 + 0.266698i
\(634\) 17.9094 + 24.6502i 0.711273 + 0.978983i
\(635\) 9.11858 + 40.4527i 0.361860 + 1.60532i
\(636\) 16.6027 + 12.0626i 0.658339 + 0.478311i
\(637\) 3.62616 + 0.574327i 0.143674 + 0.0227557i
\(638\) 43.1157 + 6.82886i 1.70697 + 0.270357i
\(639\) 3.84271 + 2.79189i 0.152015 + 0.110446i
\(640\) 26.4195 + 11.3764i 1.04432 + 0.449693i
\(641\) −19.6001 26.9772i −0.774156 1.06553i −0.995903 0.0904302i \(-0.971176\pi\)
0.221747 0.975104i \(-0.428824\pi\)
\(642\) 56.6780 28.8789i 2.23690 1.13976i
\(643\) 23.9035 + 23.9035i 0.942662 + 0.942662i 0.998443 0.0557807i \(-0.0177648\pi\)
−0.0557807 + 0.998443i \(0.517765\pi\)
\(644\) 37.6359 + 12.2286i 1.48306 + 0.481876i
\(645\) −11.8396 29.7472i −0.466184 1.17130i
\(646\) 63.0788 23.5272i 2.48180 0.925664i
\(647\) −27.8650 14.1979i −1.09548 0.558177i −0.189669 0.981848i \(-0.560741\pi\)
−0.905816 + 0.423671i \(0.860741\pi\)
\(648\) −19.3072 + 3.05796i −0.758458 + 0.120128i
\(649\) −59.6822 −2.34273
\(650\) −30.5199 + 3.96701i −1.19709 + 0.155599i
\(651\) −34.7241 −1.36094
\(652\) −37.7586 + 5.98037i −1.47874 + 0.234209i
\(653\) 13.7889 27.0622i 0.539600 1.05902i −0.446796 0.894636i \(-0.647435\pi\)
0.986396 0.164389i \(-0.0525651\pi\)
\(654\) −4.90567 15.0981i −0.191827 0.590382i
\(655\) −3.12430 + 12.2597i −0.122076 + 0.479027i
\(656\) 15.6640 + 5.08956i 0.611578 + 0.198714i
\(657\) −2.84247 + 2.84247i −0.110895 + 0.110895i
\(658\) 18.0522 + 35.4295i 0.703750 + 1.38119i
\(659\) 5.50362 3.99861i 0.214390 0.155764i −0.475407 0.879766i \(-0.657699\pi\)
0.689798 + 0.724002i \(0.257699\pi\)
\(660\) 46.1907 + 40.5754i 1.79797 + 1.57939i
\(661\) 21.9288 30.1824i 0.852931 1.17396i −0.130278 0.991477i \(-0.541587\pi\)
0.983209 0.182481i \(-0.0584129\pi\)
\(662\) 7.14128 45.0882i 0.277554 1.75240i
\(663\) −40.3739 6.39460i −1.56799 0.248346i
\(664\) −12.9794 9.43010i −0.503699 0.365959i
\(665\) −23.5170 + 15.3642i −0.911952 + 0.595798i
\(666\) −19.9436 + 14.4899i −0.772800 + 0.561472i
\(667\) 18.2926 9.32055i 0.708293 0.360893i
\(668\) 8.49002 8.49002i 0.328489 0.328489i
\(669\) −36.0075 11.6996i −1.39213 0.452331i
\(670\) −30.9145 37.2328i −1.19433 1.43843i
\(671\) 14.0980 + 43.3891i 0.544246 + 1.67502i
\(672\) −39.0302 19.8869i −1.50562 0.767154i
\(673\) −28.9140 + 4.57953i −1.11455 + 0.176528i −0.686432 0.727194i \(-0.740824\pi\)
−0.428120 + 0.903722i \(0.640824\pi\)
\(674\) 20.8059i 0.801412i
\(675\) −5.08285 17.2635i −0.195639 0.664474i
\(676\) −14.2748 −0.549029
\(677\) 0.270543 + 1.70814i 0.0103978 + 0.0656492i 0.992342 0.123523i \(-0.0394194\pi\)
−0.981944 + 0.189173i \(0.939419\pi\)
\(678\) −50.6181 25.7912i −1.94398 0.990506i
\(679\) 13.0290 + 40.0991i 0.500007 + 1.53886i
\(680\) 14.7172 23.2829i 0.564379 0.892860i
\(681\) −7.88136 + 24.2563i −0.302014 + 0.929504i
\(682\) −43.1004 + 43.1004i −1.65040 + 1.65040i
\(683\) −2.48212 4.87143i −0.0949756 0.186400i 0.838631 0.544700i \(-0.183357\pi\)
−0.933607 + 0.358300i \(0.883357\pi\)
\(684\) 9.51858 + 11.9860i 0.363952 + 0.458296i
\(685\) 2.10013 22.6512i 0.0802417 0.865458i
\(686\) −21.1262 + 29.0777i −0.806600 + 1.11019i
\(687\) −3.42608 0.542638i −0.130713 0.0207029i
\(688\) 12.1266 + 1.92066i 0.462321 + 0.0732244i
\(689\) 5.87416 8.08508i 0.223788 0.308017i
\(690\) 49.3748 + 4.57782i 1.87967 + 0.174275i
\(691\) −6.88968 + 5.00565i −0.262096 + 0.190424i −0.711071 0.703121i \(-0.751789\pi\)
0.448975 + 0.893544i \(0.351789\pi\)
\(692\) 26.4044 13.4537i 1.00375 0.511434i
\(693\) −12.1875 12.1875i −0.462966 0.462966i
\(694\) −11.3207 + 34.8415i −0.429727 + 1.32256i
\(695\) 2.19864 3.47830i 0.0833992 0.131939i
\(696\) 14.3356 4.65792i 0.543389 0.176558i
\(697\) 29.8086 58.5027i 1.12908 2.21595i
\(698\) 10.3083 1.63267i 0.390174 0.0617975i
\(699\) −39.7578 −1.50378
\(700\) −13.5195 + 37.9794i −0.510989 + 1.43549i
\(701\) 12.0068 0.453489 0.226745 0.973954i \(-0.427192\pi\)
0.226745 + 0.973954i \(0.427192\pi\)
\(702\) 3.46574 + 21.8818i 0.130806 + 0.825877i
\(703\) −35.5531 16.2366i −1.34091 0.612374i
\(704\) −57.0992 + 18.5527i −2.15201 + 0.699230i
\(705\) 18.5601 + 22.3535i 0.699015 + 0.841880i
\(706\) 58.9968 + 19.1692i 2.22037 + 0.721444i
\(707\) 0.496861 0.496861i 0.0186864 0.0186864i
\(708\) −64.4080 + 32.8175i −2.42060 + 1.23336i
\(709\) −19.1153 26.3099i −0.717890 0.988090i −0.999591 0.0285882i \(-0.990899\pi\)
0.281702 0.959502i \(-0.409101\pi\)
\(710\) 9.46330 + 15.9362i 0.355151 + 0.598073i
\(711\) −6.25264 + 8.60602i −0.234492 + 0.322751i
\(712\) 0.611216 3.85907i 0.0229063 0.144625i
\(713\) −4.48444 + 28.3136i −0.167944 + 1.06035i
\(714\) −53.9727 + 74.2871i −2.01988 + 2.78012i
\(715\) 19.7592 22.4937i 0.738951 0.841217i
\(716\) −12.9980 17.8902i −0.485757 0.668587i
\(717\) −15.9305 + 8.11699i −0.594935 + 0.303134i
\(718\) −23.6979 + 23.6979i −0.884399 + 0.884399i
\(719\) −0.135297 0.0439606i −0.00504572 0.00163945i 0.306493 0.951873i \(-0.400844\pi\)
−0.311539 + 0.950233i \(0.600844\pi\)
\(720\) −4.81068 1.22597i −0.179283 0.0456891i
\(721\) 19.4158 6.30857i 0.723082 0.234944i
\(722\) −15.6509 + 38.5612i −0.582467 + 1.43510i
\(723\) −0.914044 5.77105i −0.0339937 0.214628i
\(724\) 25.0249 0.930043
\(725\) 8.97303 + 18.8922i 0.333250 + 0.701638i
\(726\) −52.8675 −1.96210
\(727\) −23.6865 + 3.75158i −0.878485 + 0.139138i −0.579356 0.815074i \(-0.696696\pi\)
−0.299129 + 0.954213i \(0.596696\pi\)
\(728\) 6.42337 12.6066i 0.238066 0.467231i
\(729\) −7.82555 + 2.54268i −0.289835 + 0.0941732i
\(730\) −14.5738 + 5.80048i −0.539401 + 0.214685i
\(731\) 15.1251 46.5501i 0.559421 1.72172i
\(732\) 39.0727 + 39.0727i 1.44417 + 1.44417i
\(733\) −44.2510 + 22.5470i −1.63445 + 0.832793i −0.636334 + 0.771414i \(0.719550\pi\)
−0.998114 + 0.0613797i \(0.980450\pi\)
\(734\) 41.3752 30.0608i 1.52719 1.10957i
\(735\) 2.38327 5.53466i 0.0879082 0.204149i
\(736\) −21.2561 + 29.2566i −0.783512 + 1.07841i
\(737\) 46.4986 + 7.36465i 1.71280 + 0.271280i
\(738\) 25.2840 + 4.00459i 0.930716 + 0.147411i
\(739\) −15.5952 + 21.4649i −0.573678 + 0.789600i −0.992984 0.118245i \(-0.962273\pi\)
0.419306 + 0.907845i \(0.362273\pi\)
\(740\) −54.7187 + 12.3343i −2.01150 + 0.453418i
\(741\) 19.7877 15.7142i 0.726920 0.577277i
\(742\) −10.1917 20.0024i −0.374150 0.734312i
\(743\) 26.1281 26.1281i 0.958547 0.958547i −0.0406275 0.999174i \(-0.512936\pi\)
0.999174 + 0.0406275i \(0.0129357\pi\)
\(744\) −6.50388 + 20.0169i −0.238444 + 0.733855i
\(745\) −0.976405 15.0870i −0.0357727 0.552745i
\(746\) 5.02622 + 15.4691i 0.184023 + 0.566365i
\(747\) 10.2710 + 5.23335i 0.375797 + 0.191478i
\(748\) 14.7032 + 92.8325i 0.537603 + 3.39429i
\(749\) −40.5763 −1.48263
\(750\) −6.06109 + 50.1504i −0.221320 + 1.83123i
\(751\) 11.7877i 0.430138i −0.976599 0.215069i \(-0.931002\pi\)
0.976599 0.215069i \(-0.0689976\pi\)
\(752\) −11.0045 + 1.74294i −0.401294 + 0.0635587i
\(753\) 29.1419 + 14.8485i 1.06199 + 0.541111i
\(754\) −7.95643 24.4874i −0.289756 0.891778i
\(755\) 0.535719 + 8.27771i 0.0194968 + 0.301257i
\(756\) 27.5996 + 8.96766i 1.00379 + 0.326151i
\(757\) −35.9591 + 35.9591i −1.30696 + 1.30696i −0.383356 + 0.923601i \(0.625232\pi\)
−0.923601 + 0.383356i \(0.874768\pi\)
\(758\) 15.5920 7.94453i 0.566328 0.288558i
\(759\) −39.0255 + 28.3537i −1.41654 + 1.02917i
\(760\) 4.45200 + 16.4343i 0.161491 + 0.596134i
\(761\) −9.05845 6.58135i −0.328369 0.238574i 0.411369 0.911469i \(-0.365051\pi\)
−0.739738 + 0.672895i \(0.765051\pi\)
\(762\) −82.7586 13.1077i −2.99803 0.474841i
\(763\) −1.58412 + 10.0017i −0.0573489 + 0.362087i
\(764\) 11.9168 16.4021i 0.431135 0.593407i
\(765\) −7.82731 + 18.1773i −0.282997 + 0.657203i
\(766\) 47.2158 34.3043i 1.70598 1.23946i
\(767\) 15.9813 + 31.3651i 0.577051 + 1.13253i
\(768\) −4.33877 + 4.33877i −0.156562 + 0.156562i
\(769\) 20.7456 + 6.74065i 0.748105 + 0.243074i 0.658165 0.752873i \(-0.271333\pi\)
0.0899392 + 0.995947i \(0.471333\pi\)
\(770\) −24.8704 62.4874i −0.896269 2.25189i
\(771\) −11.6720 35.9226i −0.420356 1.29372i
\(772\) −10.5882 + 20.7804i −0.381076 + 0.747905i
\(773\) −8.73220 + 1.38304i −0.314075 + 0.0497447i −0.311482 0.950252i \(-0.600825\pi\)
−0.00259321 + 0.999997i \(0.500825\pi\)
\(774\)