Properties

Label 576.2.bm.a.205.77
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 205.77
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.77

$q$-expansion

\(f(q)\) \(=\) \(q+(1.11969 - 0.863881i) q^{2} +(-1.07977 + 1.35429i) q^{3} +(0.507418 - 1.93456i) q^{4} +(-1.03601 - 1.18134i) q^{5} +(-0.0390633 + 2.44918i) q^{6} +(3.17505 + 0.418003i) q^{7} +(-1.10308 - 2.60446i) q^{8} +(-0.668196 - 2.92464i) q^{9} +O(q^{10})\) \(q+(1.11969 - 0.863881i) q^{2} +(-1.07977 + 1.35429i) q^{3} +(0.507418 - 1.93456i) q^{4} +(-1.03601 - 1.18134i) q^{5} +(-0.0390633 + 2.44918i) q^{6} +(3.17505 + 0.418003i) q^{7} +(-1.10308 - 2.60446i) q^{8} +(-0.668196 - 2.92464i) q^{9} +(-2.18055 - 0.427749i) q^{10} +(1.01361 + 2.05539i) q^{11} +(2.07206 + 2.77607i) q^{12} +(-1.01576 - 2.99234i) q^{13} +(3.91618 - 2.27483i) q^{14} +(2.71853 - 0.127479i) q^{15} +(-3.48505 - 1.96326i) q^{16} +(1.39316 + 1.39316i) q^{17} +(-3.27472 - 2.69745i) q^{18} +(1.37318 - 6.90343i) q^{19} +(-2.81107 + 1.40479i) q^{20} +(-3.99442 + 3.84859i) q^{21} +(2.91054 + 1.42577i) q^{22} +(-0.00698948 - 0.0530904i) q^{23} +(4.71826 + 1.31833i) q^{24} +(0.330377 - 2.50946i) q^{25} +(-3.72237 - 2.47300i) q^{26} +(4.68230 + 2.25300i) q^{27} +(2.41973 - 5.93022i) q^{28} +(2.66685 - 0.174795i) q^{29} +(2.93379 - 2.49122i) q^{30} +(5.37141 - 3.10119i) q^{31} +(-5.59821 + 0.812428i) q^{32} +(-3.87805 - 0.846631i) q^{33} +(2.76344 + 0.356385i) q^{34} +(-2.79557 - 4.18387i) q^{35} +(-5.99695 - 0.191346i) q^{36} +(-1.25906 - 6.32974i) q^{37} +(-4.42621 - 8.91597i) q^{38} +(5.14929 + 1.85540i) q^{39} +(-1.93396 + 4.00136i) q^{40} +(1.41570 + 10.7533i) q^{41} +(-1.14779 + 7.75993i) q^{42} +(-8.12475 + 4.00668i) q^{43} +(4.49059 - 0.917941i) q^{44} +(-2.76274 + 3.81932i) q^{45} +(-0.0536899 - 0.0534068i) q^{46} +(8.22210 - 2.20311i) q^{47} +(6.42188 - 2.59990i) q^{48} +(3.14473 + 0.842627i) q^{49} +(-1.79796 - 3.09523i) q^{50} +(-3.39104 + 0.382450i) q^{51} +(-6.30429 + 0.446690i) q^{52} +(-1.48417 + 2.22122i) q^{53} +(7.18906 - 1.52229i) q^{54} +(1.37801 - 3.32681i) q^{55} +(-2.41366 - 8.73038i) q^{56} +(7.86652 + 9.31378i) q^{57} +(2.83505 - 2.49956i) q^{58} +(-2.67986 - 3.05580i) q^{59} +(1.13281 - 5.32384i) q^{60} +(0.971085 + 14.8159i) q^{61} +(3.33527 - 8.11264i) q^{62} +(-0.899048 - 9.56518i) q^{63} +(-5.56643 + 5.74586i) q^{64} +(-2.48264 + 4.30006i) q^{65} +(-5.07361 + 2.40221i) q^{66} +(-8.76956 - 4.32467i) q^{67} +(3.40207 - 1.98824i) q^{68} +(0.0794467 + 0.0478596i) q^{69} +(-6.74455 - 2.26960i) q^{70} +(0.843639 + 2.03672i) q^{71} +(-6.88003 + 4.96640i) q^{72} +(0.0877702 - 0.211896i) q^{73} +(-6.87791 - 5.99968i) q^{74} +(3.04181 + 3.15707i) q^{75} +(-12.6583 - 6.15941i) q^{76} +(2.35909 + 6.94965i) q^{77} +(7.36846 - 2.37090i) q^{78} +(2.43440 + 9.08531i) q^{79} +(1.29127 + 6.15100i) q^{80} +(-8.10703 + 3.90847i) q^{81} +(10.8747 + 10.8174i) q^{82} +(12.5833 + 11.0352i) q^{83} +(5.41849 + 9.68028i) q^{84} +(0.202472 - 3.08913i) q^{85} +(-5.63591 + 11.5051i) q^{86} +(-2.64286 + 3.80042i) q^{87} +(4.23509 - 4.90715i) q^{88} +(-12.7042 + 5.26225i) q^{89} +(0.206023 + 6.66314i) q^{90} +(-1.97429 - 9.92543i) q^{91} +(-0.106253 - 0.0134174i) q^{92} +(-1.59998 + 10.6230i) q^{93} +(7.30299 - 9.56972i) q^{94} +(-9.57793 + 5.52982i) q^{95} +(4.94451 - 8.45883i) q^{96} +(2.73344 + 1.57815i) q^{97} +(4.24905 - 1.77319i) q^{98} +(5.33398 - 4.33783i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.11969 0.863881i 0.791741 0.610856i
\(3\) −1.07977 + 1.35429i −0.623405 + 0.781899i
\(4\) 0.507418 1.93456i 0.253709 0.967281i
\(5\) −1.03601 1.18134i −0.463317 0.528312i 0.472248 0.881466i \(-0.343443\pi\)
−0.935565 + 0.353154i \(0.885109\pi\)
\(6\) −0.0390633 + 2.44918i −0.0159475 + 0.999873i
\(7\) 3.17505 + 0.418003i 1.20006 + 0.157990i 0.703936 0.710264i \(-0.251424\pi\)
0.496120 + 0.868254i \(0.334758\pi\)
\(8\) −1.10308 2.60446i −0.389998 0.920816i
\(9\) −0.668196 2.92464i −0.222732 0.974880i
\(10\) −2.18055 0.427749i −0.689550 0.135266i
\(11\) 1.01361 + 2.05539i 0.305613 + 0.619723i 0.994452 0.105192i \(-0.0335458\pi\)
−0.688838 + 0.724915i \(0.741879\pi\)
\(12\) 2.07206 + 2.77607i 0.598152 + 0.801382i
\(13\) −1.01576 2.99234i −0.281722 0.829927i −0.992026 0.126032i \(-0.959776\pi\)
0.710304 0.703895i \(-0.248557\pi\)
\(14\) 3.91618 2.27483i 1.04664 0.607974i
\(15\) 2.71853 0.127479i 0.701921 0.0329149i
\(16\) −3.48505 1.96326i −0.871264 0.490815i
\(17\) 1.39316 + 1.39316i 0.337891 + 0.337891i 0.855573 0.517682i \(-0.173205\pi\)
−0.517682 + 0.855573i \(0.673205\pi\)
\(18\) −3.27472 2.69745i −0.771858 0.635795i
\(19\) 1.37318 6.90343i 0.315028 1.58375i −0.421166 0.906984i \(-0.638379\pi\)
0.736194 0.676771i \(-0.236621\pi\)
\(20\) −2.81107 + 1.40479i −0.628574 + 0.314120i
\(21\) −3.99442 + 3.84859i −0.871653 + 0.839830i
\(22\) 2.91054 + 1.42577i 0.620528 + 0.303974i
\(23\) −0.00698948 0.0530904i −0.00145741 0.0110701i 0.990701 0.136059i \(-0.0434437\pi\)
−0.992158 + 0.124989i \(0.960110\pi\)
\(24\) 4.71826 + 1.31833i 0.963112 + 0.269102i
\(25\) 0.330377 2.50946i 0.0660754 0.501893i
\(26\) −3.72237 2.47300i −0.730017 0.484995i
\(27\) 4.68230 + 2.25300i 0.901110 + 0.433591i
\(28\) 2.41973 5.93022i 0.457286 1.12071i
\(29\) 2.66685 0.174795i 0.495221 0.0324585i 0.184253 0.982879i \(-0.441013\pi\)
0.310968 + 0.950420i \(0.399347\pi\)
\(30\) 2.93379 2.49122i 0.535634 0.454833i
\(31\) 5.37141 3.10119i 0.964735 0.556990i 0.0671076 0.997746i \(-0.478623\pi\)
0.897627 + 0.440756i \(0.145290\pi\)
\(32\) −5.59821 + 0.812428i −0.989633 + 0.143618i
\(33\) −3.87805 0.846631i −0.675082 0.147379i
\(34\) 2.76344 + 0.356385i 0.473926 + 0.0611195i
\(35\) −2.79557 4.18387i −0.472538 0.707203i
\(36\) −5.99695 0.191346i −0.999491 0.0318910i
\(37\) −1.25906 6.32974i −0.206989 1.04060i −0.934894 0.354926i \(-0.884506\pi\)
0.727905 0.685678i \(-0.240494\pi\)
\(38\) −4.42621 8.91597i −0.718026 1.44636i
\(39\) 5.14929 + 1.85540i 0.824546 + 0.297102i
\(40\) −1.93396 + 4.00136i −0.305785 + 0.632670i
\(41\) 1.41570 + 10.7533i 0.221095 + 1.67939i 0.637689 + 0.770294i \(0.279890\pi\)
−0.416594 + 0.909093i \(0.636776\pi\)
\(42\) −1.14779 + 7.75993i −0.177108 + 1.19738i
\(43\) −8.12475 + 4.00668i −1.23901 + 0.611013i −0.939326 0.343025i \(-0.888549\pi\)
−0.299686 + 0.954038i \(0.596882\pi\)
\(44\) 4.49059 0.917941i 0.676983 0.138385i
\(45\) −2.76274 + 3.81932i −0.411845 + 0.569351i
\(46\) −0.0536899 0.0534068i −0.00791614 0.00787440i
\(47\) 8.22210 2.20311i 1.19932 0.321356i 0.396755 0.917925i \(-0.370136\pi\)
0.802562 + 0.596569i \(0.203470\pi\)
\(48\) 6.42188 2.59990i 0.926918 0.375264i
\(49\) 3.14473 + 0.842627i 0.449247 + 0.120375i
\(50\) −1.79796 3.09523i −0.254270 0.437732i
\(51\) −3.39104 + 0.382450i −0.474840 + 0.0535537i
\(52\) −6.30429 + 0.446690i −0.874247 + 0.0619447i
\(53\) −1.48417 + 2.22122i −0.203867 + 0.305108i −0.919288 0.393585i \(-0.871235\pi\)
0.715422 + 0.698693i \(0.246235\pi\)
\(54\) 7.18906 1.52229i 0.978308 0.207157i
\(55\) 1.37801 3.32681i 0.185811 0.448587i
\(56\) −2.41366 8.73038i −0.322539 1.16665i
\(57\) 7.86652 + 9.31378i 1.04195 + 1.23364i
\(58\) 2.83505 2.49956i 0.372260 0.328208i
\(59\) −2.67986 3.05580i −0.348888 0.397831i 0.550605 0.834766i \(-0.314397\pi\)
−0.899493 + 0.436935i \(0.856064\pi\)
\(60\) 1.13281 5.32384i 0.146246 0.687305i
\(61\) 0.971085 + 14.8159i 0.124335 + 1.89698i 0.372149 + 0.928173i \(0.378621\pi\)
−0.247815 + 0.968807i \(0.579712\pi\)
\(62\) 3.33527 8.11264i 0.423579 1.03031i
\(63\) −0.899048 9.56518i −0.113269 1.20510i
\(64\) −5.56643 + 5.74586i −0.695803 + 0.718232i
\(65\) −2.48264 + 4.30006i −0.307934 + 0.533357i
\(66\) −5.07361 + 2.40221i −0.624518 + 0.295692i
\(67\) −8.76956 4.32467i −1.07137 0.528342i −0.180957 0.983491i \(-0.557919\pi\)
−0.890415 + 0.455149i \(0.849586\pi\)
\(68\) 3.40207 1.98824i 0.412562 0.241110i
\(69\) 0.0794467 + 0.0478596i 0.00956426 + 0.00576162i
\(70\) −6.74455 2.26960i −0.806128 0.271269i
\(71\) 0.843639 + 2.03672i 0.100122 + 0.241715i 0.966001 0.258538i \(-0.0832406\pi\)
−0.865880 + 0.500252i \(0.833241\pi\)
\(72\) −6.88003 + 4.96640i −0.810819 + 0.585296i
\(73\) 0.0877702 0.211896i 0.0102727 0.0248005i −0.918660 0.395049i \(-0.870728\pi\)
0.928933 + 0.370249i \(0.120728\pi\)
\(74\) −6.87791 5.99968i −0.799541 0.697448i
\(75\) 3.04181 + 3.15707i 0.351238 + 0.364547i
\(76\) −12.6583 6.15941i −1.45201 0.706533i
\(77\) 2.35909 + 6.94965i 0.268843 + 0.791986i
\(78\) 7.36846 2.37090i 0.834314 0.268451i
\(79\) 2.43440 + 9.08531i 0.273892 + 1.02218i 0.956581 + 0.291468i \(0.0941438\pi\)
−0.682689 + 0.730709i \(0.739190\pi\)
\(80\) 1.29127 + 6.15100i 0.144368 + 0.687702i
\(81\) −8.10703 + 3.90847i −0.900781 + 0.434274i
\(82\) 10.8747 + 10.8174i 1.20091 + 1.19458i
\(83\) 12.5833 + 11.0352i 1.38119 + 1.21127i 0.951252 + 0.308415i \(0.0997984\pi\)
0.429939 + 0.902858i \(0.358535\pi\)
\(84\) 5.41849 + 9.68028i 0.591206 + 1.05621i
\(85\) 0.202472 3.08913i 0.0219612 0.335063i
\(86\) −5.63591 + 11.5051i −0.607736 + 1.24062i
\(87\) −2.64286 + 3.80042i −0.283344 + 0.407448i
\(88\) 4.23509 4.90715i 0.451462 0.523104i
\(89\) −12.7042 + 5.26225i −1.34664 + 0.557797i −0.935355 0.353709i \(-0.884920\pi\)
−0.411286 + 0.911506i \(0.634920\pi\)
\(90\) 0.206023 + 6.66314i 0.0217168 + 0.702357i
\(91\) −1.97429 9.92543i −0.206962 1.04047i
\(92\) −0.106253 0.0134174i −0.0110777 0.00139886i
\(93\) −1.59998 + 10.6230i −0.165911 + 1.10156i
\(94\) 7.30299 9.56972i 0.753246 0.987041i
\(95\) −9.57793 + 5.52982i −0.982675 + 0.567347i
\(96\) 4.94451 8.45883i 0.504647 0.863326i
\(97\) 2.73344 + 1.57815i 0.277538 + 0.160237i 0.632309 0.774717i \(-0.282108\pi\)
−0.354770 + 0.934954i \(0.615441\pi\)
\(98\) 4.24905 1.77319i 0.429219 0.179119i
\(99\) 5.33398 4.33783i 0.536085 0.435968i
\(100\) −4.68707 1.91248i −0.468707 0.191248i
\(101\) −6.58110 2.23398i −0.654844 0.222290i −0.0258095 0.999667i \(-0.508216\pi\)
−0.629035 + 0.777377i \(0.716550\pi\)
\(102\) −3.46652 + 3.35768i −0.343237 + 0.332460i
\(103\) 6.87816 + 5.27779i 0.677725 + 0.520037i 0.889299 0.457325i \(-0.151192\pi\)
−0.211575 + 0.977362i \(0.567859\pi\)
\(104\) −6.67297 + 5.94631i −0.654338 + 0.583084i
\(105\) 8.68475 + 0.731602i 0.847544 + 0.0713971i
\(106\) 0.257056 + 3.76923i 0.0249675 + 0.366100i
\(107\) −2.01104 1.34373i −0.194415 0.129904i 0.454553 0.890720i \(-0.349799\pi\)
−0.648968 + 0.760816i \(0.724799\pi\)
\(108\) 6.73446 7.91499i 0.648024 0.761620i
\(109\) −2.24946 + 11.3088i −0.215459 + 1.08319i 0.709961 + 0.704241i \(0.248713\pi\)
−0.925420 + 0.378944i \(0.876287\pi\)
\(110\) −1.33103 4.91544i −0.126908 0.468669i
\(111\) 9.93180 + 5.12953i 0.942685 + 0.486873i
\(112\) −10.2446 7.69021i −0.968021 0.726657i
\(113\) 3.53830 + 0.948085i 0.332855 + 0.0891883i 0.421376 0.906886i \(-0.361547\pi\)
−0.0885207 + 0.996074i \(0.528214\pi\)
\(114\) 16.8541 + 3.63283i 1.57853 + 0.340245i
\(115\) −0.0554767 + 0.0632591i −0.00517323 + 0.00589894i
\(116\) 1.01506 5.24788i 0.0942455 0.487253i
\(117\) −8.07279 + 4.97021i −0.746330 + 0.459497i
\(118\) −5.64046 1.10647i −0.519247 0.101858i
\(119\) 3.84101 + 5.00570i 0.352105 + 0.458872i
\(120\) −3.33077 6.93968i −0.304056 0.633503i
\(121\) 3.49915 4.56018i 0.318105 0.414562i
\(122\) 13.8865 + 15.7503i 1.25722 + 1.42597i
\(123\) −16.0917 9.69384i −1.45094 0.874064i
\(124\) −3.27389 11.9649i −0.294004 1.07448i
\(125\) −9.83911 + 6.57429i −0.880037 + 0.588022i
\(126\) −9.26984 9.93338i −0.825823 0.884936i
\(127\) 0.389694 0.0345797 0.0172899 0.999851i \(-0.494496\pi\)
0.0172899 + 0.999851i \(0.494496\pi\)
\(128\) −1.26894 + 11.2423i −0.112159 + 0.993690i
\(129\) 3.34665 15.3295i 0.294656 1.34969i
\(130\) 0.934950 + 6.95944i 0.0820006 + 0.610384i
\(131\) −8.00179 3.94605i −0.699120 0.344768i 0.0577523 0.998331i \(-0.481607\pi\)
−0.756872 + 0.653563i \(0.773273\pi\)
\(132\) −3.60565 + 7.07273i −0.313831 + 0.615602i
\(133\) 7.24556 21.3447i 0.628269 1.85082i
\(134\) −13.5552 + 2.73357i −1.17099 + 0.236144i
\(135\) −2.18934 7.86553i −0.188428 0.676957i
\(136\) 2.09166 5.16521i 0.179359 0.442913i
\(137\) −11.0602 14.4140i −0.944940 1.23147i −0.972750 0.231856i \(-0.925520\pi\)
0.0278103 0.999613i \(-0.491147\pi\)
\(138\) 0.130301 0.0150446i 0.0110919 0.00128068i
\(139\) 17.6491 + 1.15678i 1.49697 + 0.0981169i 0.791741 0.610858i \(-0.209175\pi\)
0.705234 + 0.708974i \(0.250842\pi\)
\(140\) −9.51248 + 3.28524i −0.803951 + 0.277653i
\(141\) −5.89433 + 13.5139i −0.496392 + 1.13808i
\(142\) 2.70410 + 1.55170i 0.226923 + 0.130216i
\(143\) 5.12084 5.12084i 0.428226 0.428226i
\(144\) −3.41313 + 11.5044i −0.284427 + 0.958698i
\(145\) −2.96937 2.96937i −0.246593 0.246593i
\(146\) −0.0847775 0.313081i −0.00701623 0.0259108i
\(147\) −4.53674 + 3.34903i −0.374184 + 0.276223i
\(148\) −12.8842 0.776086i −1.05907 0.0637939i
\(149\) −0.340586 + 5.19634i −0.0279019 + 0.425701i 0.960942 + 0.276748i \(0.0892569\pi\)
−0.988844 + 0.148953i \(0.952410\pi\)
\(150\) 6.13322 + 0.907180i 0.500775 + 0.0740710i
\(151\) −5.24925 + 4.02789i −0.427178 + 0.327785i −0.799874 0.600168i \(-0.795100\pi\)
0.372696 + 0.927954i \(0.378434\pi\)
\(152\) −19.4944 + 4.03865i −1.58121 + 0.327578i
\(153\) 3.14359 5.00540i 0.254144 0.404663i
\(154\) 8.64512 + 5.74349i 0.696644 + 0.462823i
\(155\) −9.22840 3.13262i −0.741243 0.251618i
\(156\) 6.20223 9.02015i 0.496576 0.722190i
\(157\) 4.79637 9.72607i 0.382792 0.776225i −0.617152 0.786844i \(-0.711714\pi\)
0.999944 + 0.0106193i \(0.00338028\pi\)
\(158\) 10.5744 + 8.06971i 0.841255 + 0.641992i
\(159\) −1.40561 4.40840i −0.111472 0.349609i
\(160\) 6.75955 + 5.77172i 0.534389 + 0.456294i
\(161\) 0.171486i 0.0135150i
\(162\) −5.70092 + 11.3798i −0.447906 + 0.894081i
\(163\) −4.30314 6.44011i −0.337048 0.504428i 0.623770 0.781608i \(-0.285600\pi\)
−0.960818 + 0.277180i \(0.910600\pi\)
\(164\) 21.5213 + 2.71766i 1.68053 + 0.212214i
\(165\) 3.01753 + 5.45842i 0.234915 + 0.424937i
\(166\) 23.6225 + 1.48560i 1.83346 + 0.115305i
\(167\) 2.44355 + 1.87500i 0.189088 + 0.145092i 0.698967 0.715154i \(-0.253643\pi\)
−0.509880 + 0.860246i \(0.670310\pi\)
\(168\) 14.4297 + 6.15800i 1.11327 + 0.475100i
\(169\) 2.39125 1.83487i 0.183943 0.141144i
\(170\) −2.44193 3.63378i −0.187288 0.278698i
\(171\) −21.1076 + 0.596798i −1.61414 + 0.0456383i
\(172\) 3.62853 + 17.7509i 0.276673 + 1.35349i
\(173\) 9.19662 + 8.06522i 0.699206 + 0.613187i 0.933330 0.359019i \(-0.116889\pi\)
−0.234124 + 0.972207i \(0.575222\pi\)
\(174\) 0.323927 + 6.53842i 0.0245568 + 0.495676i
\(175\) 2.09793 7.82957i 0.158588 0.591860i
\(176\) 0.502793 9.15311i 0.0378994 0.689942i
\(177\) 7.03206 0.329751i 0.528562 0.0247856i
\(178\) −9.67881 + 16.8670i −0.725458 + 1.26424i
\(179\) 7.97414 + 1.58615i 0.596015 + 0.118555i 0.483874 0.875138i \(-0.339229\pi\)
0.112141 + 0.993692i \(0.464229\pi\)
\(180\) 5.98685 + 7.28268i 0.446233 + 0.542819i
\(181\) 6.89407 10.3177i 0.512432 0.766909i −0.481554 0.876417i \(-0.659927\pi\)
0.993986 + 0.109507i \(0.0349273\pi\)
\(182\) −10.7850 9.40786i −0.799437 0.697357i
\(183\) −21.1135 14.6826i −1.56076 1.08537i
\(184\) −0.130562 + 0.0767668i −0.00962514 + 0.00565932i
\(185\) −6.17319 + 8.04506i −0.453862 + 0.591484i
\(186\) 7.38554 + 13.2767i 0.541534 + 0.973494i
\(187\) −1.45137 + 4.27560i −0.106135 + 0.312663i
\(188\) −0.0900041 17.0241i −0.00656422 1.24161i
\(189\) 13.9248 + 9.11062i 1.01288 + 0.662700i
\(190\) −5.94721 + 14.4659i −0.431456 + 1.04947i
\(191\) 8.74918 15.1540i 0.633068 1.09651i −0.353853 0.935301i \(-0.615129\pi\)
0.986921 0.161205i \(-0.0515381\pi\)
\(192\) −1.77110 13.7428i −0.127818 0.991798i
\(193\) 5.29289 + 9.16755i 0.380990 + 0.659895i 0.991204 0.132342i \(-0.0422497\pi\)
−0.610214 + 0.792237i \(0.708916\pi\)
\(194\) 4.42394 0.594324i 0.317620 0.0426700i
\(195\) −3.14284 8.00528i −0.225064 0.573270i
\(196\) 3.22580 5.65610i 0.230415 0.404007i
\(197\) −0.854542 + 0.169979i −0.0608836 + 0.0121105i −0.225438 0.974257i \(-0.572381\pi\)
0.164555 + 0.986368i \(0.447381\pi\)
\(198\) 2.22504 9.46496i 0.158127 0.672645i
\(199\) 9.08760 + 21.9394i 0.644203 + 1.55524i 0.820958 + 0.570988i \(0.193440\pi\)
−0.176755 + 0.984255i \(0.556560\pi\)
\(200\) −6.90023 + 1.90769i −0.487920 + 0.134894i
\(201\) 15.3260 7.20687i 1.08101 0.508334i
\(202\) −9.29870 + 3.18392i −0.654254 + 0.224020i
\(203\) 8.54044 + 0.559770i 0.599421 + 0.0392882i
\(204\) −0.980799 + 6.75423i −0.0686696 + 0.472891i
\(205\) 11.2367 12.8130i 0.784803 0.894896i
\(206\) 12.2608 0.0324105i 0.854250 0.00225814i
\(207\) −0.150600 + 0.0559165i −0.0104674 + 0.00388647i
\(208\) −2.33476 + 12.4227i −0.161886 + 0.861358i
\(209\) 15.5811 4.17494i 1.07777 0.288786i
\(210\) 10.3563 6.68342i 0.714649 0.461200i
\(211\) 2.14139 0.726904i 0.147419 0.0500422i −0.246754 0.969078i \(-0.579364\pi\)
0.394174 + 0.919036i \(0.371031\pi\)
\(212\) 3.54399 + 3.99830i 0.243402 + 0.274605i
\(213\) −3.66925 1.05666i −0.251413 0.0724013i
\(214\) −3.41257 + 0.232733i −0.233279 + 0.0159093i
\(215\) 13.1506 + 5.44715i 0.896862 + 0.371492i
\(216\) 0.702902 14.6801i 0.0478264 0.998856i
\(217\) 18.3508 7.60115i 1.24573 0.516000i
\(218\) 7.25075 + 14.6056i 0.491083 + 0.989217i
\(219\) 0.192197 + 0.347665i 0.0129875 + 0.0234930i
\(220\) −5.73670 4.35393i −0.386768 0.293542i
\(221\) 2.75370 5.58394i 0.185234 0.375617i
\(222\) 15.5519 2.83641i 1.04377 0.190368i
\(223\) 9.89029 + 5.71016i 0.662303 + 0.382381i 0.793154 0.609021i \(-0.208438\pi\)
−0.130851 + 0.991402i \(0.541771\pi\)
\(224\) −18.1142 + 0.239430i −1.21031 + 0.0159976i
\(225\) −7.56003 + 0.710581i −0.504002 + 0.0473720i
\(226\) 4.78084 1.99511i 0.318017 0.132713i
\(227\) 12.0801 0.791773i 0.801786 0.0525518i 0.341000 0.940063i \(-0.389234\pi\)
0.460786 + 0.887511i \(0.347568\pi\)
\(228\) 22.0097 10.4923i 1.45763 0.694868i
\(229\) 0.256025 0.224528i 0.0169186 0.0148372i −0.650845 0.759211i \(-0.725585\pi\)
0.667763 + 0.744374i \(0.267252\pi\)
\(230\) −0.00746846 + 0.118756i −0.000492456 + 0.00783053i
\(231\) −11.9591 4.30913i −0.786851 0.283520i
\(232\) −3.39699 6.75289i −0.223024 0.443349i
\(233\) −25.0318 10.3685i −1.63989 0.679264i −0.643602 0.765360i \(-0.722561\pi\)
−0.996287 + 0.0860960i \(0.972561\pi\)
\(234\) −4.74536 + 12.5390i −0.310214 + 0.819703i
\(235\) −11.1208 7.43068i −0.725440 0.484724i
\(236\) −7.27144 + 3.63379i −0.473330 + 0.236540i
\(237\) −14.9327 6.51316i −0.969985 0.423075i
\(238\) 8.62508 + 2.28666i 0.559081 + 0.148222i
\(239\) −5.02362 + 18.7484i −0.324951 + 1.21273i 0.589410 + 0.807834i \(0.299360\pi\)
−0.914361 + 0.404900i \(0.867306\pi\)
\(240\) −9.72449 4.89291i −0.627713 0.315836i
\(241\) 1.34095 + 5.00450i 0.0863782 + 0.322368i 0.995572 0.0940061i \(-0.0299673\pi\)
−0.909193 + 0.416374i \(0.863301\pi\)
\(242\) −0.0214880 8.12885i −0.00138130 0.522542i
\(243\) 3.46053 15.1995i 0.221993 0.975048i
\(244\) 29.1550 + 5.63922i 1.86646 + 0.361014i
\(245\) −2.26253 4.58797i −0.144548 0.293114i
\(246\) −26.3921 + 3.04724i −1.68270 + 0.194285i
\(247\) −22.0522 + 2.90323i −1.40315 + 0.184728i
\(248\) −14.0020 10.5688i −0.889129 0.671118i
\(249\) −28.5319 + 5.12587i −1.80813 + 0.324839i
\(250\) −5.33737 + 15.8610i −0.337565 + 1.00314i
\(251\) 9.37355 1.86452i 0.591653 0.117687i 0.109822 0.993951i \(-0.464972\pi\)
0.481831 + 0.876264i \(0.339972\pi\)
\(252\) −18.9606 3.11428i −1.19441 0.196181i
\(253\) 0.102037 0.0681788i 0.00641499 0.00428636i
\(254\) 0.436337 0.336649i 0.0273782 0.0211233i
\(255\) 3.96495 + 3.60975i 0.248295 + 0.226051i
\(256\) 8.29122 + 13.6841i 0.518201 + 0.855259i
\(257\) −9.31858 16.1403i −0.581277 1.00680i −0.995328 0.0965482i \(-0.969220\pi\)
0.414051 0.910254i \(-0.364114\pi\)
\(258\) −9.49570 20.0555i −0.591176 1.24860i
\(259\) −1.35174 20.6235i −0.0839929 1.28148i
\(260\) 7.05899 + 6.98474i 0.437780 + 0.433175i
\(261\) −2.29319 7.68277i −0.141945 0.475552i
\(262\) −12.3685 + 2.49424i −0.764125 + 0.154095i
\(263\) −10.8872 1.43333i −0.671334 0.0883828i −0.212849 0.977085i \(-0.568274\pi\)
−0.458485 + 0.888702i \(0.651608\pi\)
\(264\) 2.07278 + 11.0341i 0.127571 + 0.679103i
\(265\) 4.16163 0.547889i 0.255647 0.0336566i
\(266\) −10.3265 30.1588i −0.633160 1.84915i
\(267\) 6.59099 22.8872i 0.403362 1.40067i
\(268\) −12.8162 + 14.7708i −0.782872 + 0.902273i
\(269\) −19.2185 3.82280i −1.17177 0.233080i −0.429431 0.903100i \(-0.641286\pi\)
−0.742344 + 0.670019i \(0.766286\pi\)
\(270\) −9.24627 6.91564i −0.562710 0.420872i
\(271\) 11.3484 11.3484i 0.689366 0.689366i −0.272726 0.962092i \(-0.587925\pi\)
0.962092 + 0.272726i \(0.0879252\pi\)
\(272\) −2.12011 7.59039i −0.128550 0.460235i
\(273\) 15.5737 + 8.04341i 0.942562 + 0.486809i
\(274\) −24.8360 6.58448i −1.50040 0.397783i
\(275\) 5.49279 1.86455i 0.331228 0.112437i
\(276\) 0.132900 0.129410i 0.00799964 0.00778955i
\(277\) 5.17628 2.55266i 0.311013 0.153374i −0.280083 0.959976i \(-0.590362\pi\)
0.591096 + 0.806601i \(0.298695\pi\)
\(278\) 20.7608 13.9515i 1.24515 0.836753i
\(279\) −12.6590 13.6372i −0.757875 0.816441i
\(280\) −7.81299 + 11.8961i −0.466915 + 0.710929i
\(281\) 0.0912229 0.692907i 0.00544190 0.0413354i −0.988508 0.151166i \(-0.951697\pi\)
0.993950 + 0.109830i \(0.0350307\pi\)
\(282\) 5.07462 + 20.2235i 0.302189 + 1.20429i
\(283\) −20.5023 + 17.9800i −1.21874 + 1.06880i −0.223166 + 0.974781i \(0.571639\pi\)
−0.995570 + 0.0940219i \(0.970028\pi\)
\(284\) 4.36825 0.598602i 0.259208 0.0355205i
\(285\) 2.85298 18.9422i 0.168996 1.12204i
\(286\) 1.30996 10.1576i 0.0774597 0.600629i
\(287\) 34.7341i 2.05029i
\(288\) 6.11676 + 15.8299i 0.360434 + 0.932785i
\(289\) 13.1182i 0.771659i
\(290\) −5.88996 0.759594i −0.345871 0.0446049i
\(291\) −5.08875 + 1.99782i −0.298308 + 0.117115i
\(292\) −0.365390 0.277316i −0.0213828 0.0162287i
\(293\) −18.9416 + 16.6113i −1.10658 + 0.970443i −0.999716 0.0238312i \(-0.992414\pi\)
−0.106862 + 0.994274i \(0.534080\pi\)
\(294\) −2.18659 + 7.66908i −0.127524 + 0.447270i
\(295\) −0.833580 + 6.33167i −0.0485329 + 0.368644i
\(296\) −15.0967 + 10.2614i −0.877479 + 0.596432i
\(297\) 0.115209 + 11.9076i 0.00668511 + 0.690949i
\(298\) 4.10767 + 6.11253i 0.237951 + 0.354089i
\(299\) −0.151765 + 0.0748422i −0.00877679 + 0.00432824i
\(300\) 7.65101 4.28261i 0.441731 0.247257i
\(301\) −27.4713 + 9.32524i −1.58342 + 0.537498i
\(302\) −2.39792 + 9.04473i −0.137985 + 0.520465i
\(303\) 10.1315 6.50053i 0.582041 0.373446i
\(304\) −18.3388 + 21.3629i −1.05180 + 1.22525i
\(305\) 16.4966 16.4966i 0.944591 0.944591i
\(306\) −0.804223 8.32019i −0.0459744 0.475634i
\(307\) 19.2662 + 3.83229i 1.09958 + 0.218720i 0.711347 0.702841i \(-0.248086\pi\)
0.388233 + 0.921561i \(0.373086\pi\)
\(308\) 14.6416 1.03743i 0.834280 0.0591128i
\(309\) −14.5745 + 3.61621i −0.829113 + 0.205719i
\(310\) −13.0392 + 4.46467i −0.740575 + 0.253576i
\(311\) 8.33352 1.09713i 0.472551 0.0622125i 0.109510 0.993986i \(-0.465072\pi\)
0.363041 + 0.931773i \(0.381739\pi\)
\(312\) −0.847756 15.4578i −0.0479947 0.875124i
\(313\) −17.3060 2.27837i −0.978190 0.128781i −0.375557 0.926799i \(-0.622549\pi\)
−0.602633 + 0.798018i \(0.705882\pi\)
\(314\) −3.03172 15.0337i −0.171090 0.848400i
\(315\) −10.3683 + 10.9717i −0.584189 + 0.618185i
\(316\) 18.8113 0.0994533i 1.05822 0.00559469i
\(317\) 0.942671 + 14.3824i 0.0529457 + 0.807795i 0.938936 + 0.344091i \(0.111813\pi\)
−0.885991 + 0.463703i \(0.846520\pi\)
\(318\) −5.38218 3.72177i −0.301818 0.208706i
\(319\) 3.06240 + 5.30424i 0.171462 + 0.296980i
\(320\) 12.5547 + 0.623090i 0.701829 + 0.0348318i
\(321\) 3.99127 1.27261i 0.222771 0.0710300i
\(322\) −0.148144 0.192012i −0.00825573 0.0107004i
\(323\) 11.5306 7.70453i 0.641582 0.428692i
\(324\) 3.44752 + 17.6668i 0.191529 + 0.981487i
\(325\) −7.84476 + 1.56042i −0.435149 + 0.0865565i
\(326\) −10.3817 3.49353i −0.574988 0.193489i
\(327\) −12.8865 15.2573i −0.712623 0.843731i
\(328\) 26.4450 15.5489i 1.46018 0.858545i
\(329\) 27.0265 3.55810i 1.49002 0.196165i
\(330\) 8.09413 + 3.50495i 0.445567 + 0.192941i
\(331\) −0.688429 1.39600i −0.0378395 0.0767308i 0.877132 0.480249i \(-0.159454\pi\)
−0.914972 + 0.403518i \(0.867787\pi\)
\(332\) 27.7333 18.7436i 1.52206 1.02869i
\(333\) −17.6709 + 7.91182i −0.968360 + 0.433565i
\(334\) 4.35580 0.0115142i 0.238339 0.000630030i
\(335\) 3.97643 + 14.8402i 0.217256 + 0.810809i
\(336\) 21.4765 5.57045i 1.17164 0.303893i
\(337\) 1.23117 4.59480i 0.0670662 0.250294i −0.924251 0.381785i \(-0.875310\pi\)
0.991317 + 0.131490i \(0.0419762\pi\)
\(338\) 1.09235 4.12025i 0.0594161 0.224112i
\(339\) −5.10453 + 3.76817i −0.277240 + 0.204659i
\(340\) −5.87337 1.95917i −0.318528 0.106251i
\(341\) 11.8186 + 7.89696i 0.640015 + 0.427644i
\(342\) −23.1184 + 18.9027i −1.25010 + 1.02214i
\(343\) −11.0783 4.58877i −0.598171 0.247771i
\(344\) 19.3975 + 16.7409i 1.04584 + 0.902608i
\(345\) −0.0257690 0.143437i −0.00138736 0.00772237i
\(346\) 17.2648 + 1.08577i 0.928160 + 0.0583712i
\(347\) 3.80262 3.33481i 0.204135 0.179022i −0.551174 0.834390i \(-0.685820\pi\)
0.755309 + 0.655369i \(0.227487\pi\)
\(348\) 6.01112 + 7.04117i 0.322230 + 0.377447i
\(349\) 34.0408 2.23115i 1.82216 0.119431i 0.884403 0.466724i \(-0.154566\pi\)
0.937757 + 0.347293i \(0.112899\pi\)
\(350\) −4.41479 10.5791i −0.235980 0.565475i
\(351\) 1.98565 16.2996i 0.105986 0.870007i
\(352\) −7.34423 10.6830i −0.391449 0.569406i
\(353\) 1.09456 + 0.631942i 0.0582573 + 0.0336349i 0.528846 0.848718i \(-0.322625\pi\)
−0.470588 + 0.882353i \(0.655958\pi\)
\(354\) 7.58888 6.44409i 0.403344 0.342500i
\(355\) 1.53205 3.10669i 0.0813128 0.164886i
\(356\) 3.73381 + 27.2472i 0.197892 + 1.44410i
\(357\) −10.9266 0.203166i −0.578296 0.0107527i
\(358\) 10.2988 5.11271i 0.544310 0.270215i
\(359\) −3.91572 + 1.62194i −0.206664 + 0.0856029i −0.483614 0.875281i \(-0.660676\pi\)
0.276951 + 0.960884i \(0.410676\pi\)
\(360\) 12.9948 + 2.98243i 0.684886 + 0.157188i
\(361\) −28.2180 11.6883i −1.48516 0.615172i
\(362\) −1.19404 17.5083i −0.0627576 0.920216i
\(363\) 2.39753 + 9.66281i 0.125838 + 0.507166i
\(364\) −20.2031 1.21695i −1.05893 0.0637855i
\(365\) −0.341252 + 0.115840i −0.0178620 + 0.00606332i
\(366\) −36.3247 + 1.79960i −1.89872 + 0.0940667i
\(367\) −11.5986 + 3.10782i −0.605439 + 0.162227i −0.548500 0.836151i \(-0.684801\pi\)
−0.0569395 + 0.998378i \(0.518134\pi\)
\(368\) −0.0798715 + 0.198745i −0.00416359 + 0.0103603i
\(369\) 30.5036 11.3257i 1.58795 0.589595i
\(370\) 0.0379090 + 14.3409i 0.00197079 + 0.745547i
\(371\) −5.64079 + 6.43209i −0.292855 + 0.333937i
\(372\) 19.7390 + 8.48557i 1.02342 + 0.439956i
\(373\) −24.8511 1.62883i −1.28674 0.0843376i −0.593378 0.804924i \(-0.702206\pi\)
−0.693365 + 0.720587i \(0.743873\pi\)
\(374\) 2.06853 + 6.04117i 0.106961 + 0.312381i
\(375\) 1.72049 20.4237i 0.0888458 1.05468i
\(376\) −14.8075 18.9839i −0.763641 0.979022i
\(377\) −3.23193 7.80258i −0.166453 0.401853i
\(378\) 23.4619 1.82828i 1.20675 0.0940366i
\(379\) −33.2494 + 6.61371i −1.70791 + 0.339723i −0.949907 0.312533i \(-0.898823\pi\)
−0.757998 + 0.652256i \(0.773823\pi\)
\(380\) 5.83777 + 21.3350i 0.299471 + 1.09446i
\(381\) −0.420779 + 0.527758i −0.0215572 + 0.0270379i
\(382\) −3.29490 24.5261i −0.168582 1.25486i
\(383\) −17.5382 30.3771i −0.896161 1.55220i −0.832361 0.554234i \(-0.813011\pi\)
−0.0637997 0.997963i \(-0.520322\pi\)
\(384\) −13.8552 13.8576i −0.707045 0.707169i
\(385\) 5.76587 9.98678i 0.293856 0.508974i
\(386\) 13.8461 + 5.69240i 0.704747 + 0.289736i
\(387\) 17.1470 + 21.0847i 0.871632 + 1.07180i
\(388\) 4.44002 4.48722i 0.225408 0.227804i
\(389\) −6.93521 + 20.4305i −0.351629 + 1.03587i 0.616916 + 0.787029i \(0.288382\pi\)
−0.968545 + 0.248837i \(0.919952\pi\)
\(390\) −10.4346 6.24840i −0.528378 0.316400i
\(391\) 0.0642260 0.0837010i 0.00324805 0.00423294i
\(392\) −1.27430 9.11980i −0.0643618 0.460620i
\(393\) 13.9842 6.57591i 0.705408 0.331711i
\(394\) −0.809982 + 0.928547i −0.0408063 + 0.0467795i
\(395\) 8.21079 12.2883i 0.413130 0.618293i
\(396\) −5.68525 12.5200i −0.285694 0.629154i
\(397\) 7.39425 + 1.47081i 0.371107 + 0.0738177i 0.377120 0.926164i \(-0.376914\pi\)
−0.00601382 + 0.999982i \(0.501914\pi\)
\(398\) 29.1283 + 16.7148i 1.46007 + 0.837835i
\(399\) 21.0834 + 32.8599i 1.05549 + 1.64506i
\(400\) −6.07811 + 8.09700i −0.303906 + 0.404850i
\(401\) 6.90524 25.7707i 0.344831 1.28693i −0.547978 0.836493i \(-0.684602\pi\)
0.892809 0.450435i \(-0.148731\pi\)
\(402\) 10.9345 21.3093i 0.545361 1.06281i
\(403\) −14.7359 12.9230i −0.734048 0.643743i
\(404\) −7.66115 + 11.5980i −0.381156 + 0.577021i
\(405\) 13.0162 + 5.52796i 0.646780 + 0.274687i
\(406\) 10.0462 6.75116i 0.498586 0.335054i
\(407\) 11.7339 9.00373i 0.581627 0.446298i
\(408\) 4.73666 + 8.40995i 0.234500 + 0.416354i
\(409\) 6.73906 + 5.17106i 0.333225 + 0.255693i 0.761798 0.647815i \(-0.224317\pi\)
−0.428573 + 0.903507i \(0.640984\pi\)
\(410\) 1.51272 24.0537i 0.0747078 1.18793i
\(411\) 31.4632 + 0.585020i 1.55197 + 0.0288569i
\(412\) 13.7003 10.6282i 0.674966 0.523612i
\(413\) −7.23136 10.8225i −0.355832 0.532540i
\(414\) −0.120320 + 0.192710i −0.00591341 + 0.00947116i
\(415\) 26.2977i 1.29090i
\(416\) 8.11752 + 15.9265i 0.397994 + 0.780862i
\(417\) −20.6235 + 22.6529i −1.00994 + 1.10932i
\(418\) 13.8393 18.1348i 0.676904 0.887004i
\(419\) 4.85248 9.83985i 0.237059 0.480708i −0.745537 0.666464i \(-0.767807\pi\)
0.982596 + 0.185756i \(0.0594735\pi\)
\(420\) 5.82212 16.4299i 0.284090 0.801699i
\(421\) 6.92005 + 2.34904i 0.337263 + 0.114485i 0.484933 0.874551i \(-0.338844\pi\)
−0.147670 + 0.989037i \(0.547177\pi\)
\(422\) 1.76974 2.66382i 0.0861495 0.129673i
\(423\) −11.9373 22.5746i −0.580410 1.09761i
\(424\) 7.42224 + 1.41528i 0.360456 + 0.0687321i
\(425\) 3.95636 3.03582i 0.191912 0.147259i
\(426\) −5.02126 + 1.98666i −0.243281 + 0.0962541i
\(427\) −3.10985 + 47.4471i −0.150496 + 2.29613i
\(428\) −3.61998 + 3.20865i −0.174978 + 0.155096i
\(429\) 1.40577 + 12.4644i 0.0678713 + 0.601788i
\(430\) 19.4303 5.26141i 0.937011 0.253728i
\(431\) 17.3182 + 17.3182i 0.834191 + 0.834191i 0.988087 0.153896i \(-0.0491822\pi\)
−0.153896 + 0.988087i \(0.549182\pi\)
\(432\) −11.8949 17.0444i −0.572291 0.820050i
\(433\) −7.07511 + 7.07511i −0.340008 + 0.340008i −0.856370 0.516362i \(-0.827286\pi\)
0.516362 + 0.856370i \(0.327286\pi\)
\(434\) 13.9807 24.3639i 0.671097 1.16950i
\(435\) 7.22762 0.815150i 0.346538 0.0390835i
\(436\) 20.7361 + 10.0900i 0.993081 + 0.483223i
\(437\) −0.376103 0.0246511i −0.0179915 0.00117922i
\(438\) 0.515542 + 0.223242i 0.0246336 + 0.0106669i
\(439\) 22.0111 + 28.6854i 1.05053 + 1.36908i 0.926282 + 0.376830i \(0.122986\pi\)
0.124251 + 0.992251i \(0.460347\pi\)
\(440\) −10.1846 + 0.0807681i −0.485532 + 0.00385047i
\(441\) 0.363085 9.76023i 0.0172897 0.464773i
\(442\) −1.74057 8.63116i −0.0827907 0.410542i
\(443\) 1.07489 3.16651i 0.0510694 0.150446i −0.918403 0.395646i \(-0.870521\pi\)
0.969472 + 0.245201i \(0.0788539\pi\)
\(444\) 14.9630 16.6109i 0.710110 0.788317i
\(445\) 19.3782 + 9.55626i 0.918613 + 0.453010i
\(446\) 16.0070 2.15042i 0.757952 0.101825i
\(447\) −6.66959 6.07210i −0.315461 0.287201i
\(448\) −20.0755 + 15.9166i −0.948476 + 0.751989i
\(449\) −21.8790 −1.03253 −0.516267 0.856428i \(-0.672679\pi\)
−0.516267 + 0.856428i \(0.672679\pi\)
\(450\) −7.85104 + 7.32660i −0.370102 + 0.345379i
\(451\) −20.6673 + 13.8094i −0.973184 + 0.650261i
\(452\) 3.62952 6.36399i 0.170718 0.299337i
\(453\) 0.213051 11.4582i 0.0100100 0.538353i
\(454\) 12.8420 11.3223i 0.602705 0.531384i
\(455\) −9.67994 + 12.6151i −0.453803 + 0.591407i
\(456\) 15.5800 30.7619i 0.729599 1.44056i
\(457\) 3.61335 + 4.70901i 0.169025 + 0.220278i 0.870184 0.492727i \(-0.164000\pi\)
−0.701158 + 0.713006i \(0.747333\pi\)
\(458\) 0.0927036 0.472578i 0.00433176 0.0220821i
\(459\) 3.38441 + 9.66201i 0.157971 + 0.450984i
\(460\) 0.0942287 + 0.139422i 0.00439343 + 0.00650058i
\(461\) 13.9074 15.8584i 0.647734 0.738599i −0.331023 0.943623i \(-0.607394\pi\)
0.978757 + 0.205024i \(0.0657272\pi\)
\(462\) −17.1131 + 5.50635i −0.796172 + 0.256178i
\(463\) 1.24239 + 0.332897i 0.0577387 + 0.0154710i 0.287573 0.957759i \(-0.407152\pi\)
−0.229834 + 0.973230i \(0.573818\pi\)
\(464\) −9.63728 4.62655i −0.447400 0.214782i
\(465\) 14.2070 9.11541i 0.658834 0.422717i
\(466\) −36.9851 + 10.0150i −1.71330 + 0.463935i
\(467\) 3.31453 16.6633i 0.153378 0.771085i −0.825140 0.564928i \(-0.808904\pi\)
0.978519 0.206157i \(-0.0660959\pi\)
\(468\) 5.51891 + 18.1393i 0.255112 + 0.838489i
\(469\) −26.0361 17.3967i −1.20223 0.803307i
\(470\) −18.8711 + 1.28698i −0.870458 + 0.0593641i
\(471\) 7.99294 + 16.9976i 0.368295 + 0.783207i
\(472\) −5.00260 + 10.3504i −0.230263 + 0.476415i
\(473\) −16.4706 12.6383i −0.757318 0.581110i
\(474\) −22.3466 + 5.60738i −1.02642 + 0.257556i
\(475\) −16.8702 5.72667i −0.774059 0.262758i
\(476\) 11.6328 4.89069i 0.533190 0.224164i
\(477\) 7.48798 + 2.85645i 0.342851 + 0.130788i
\(478\) 10.5715 + 25.3322i 0.483529 + 1.15867i
\(479\) 27.6833 + 15.9830i 1.26488 + 0.730280i 0.974015 0.226483i \(-0.0727229\pi\)
0.290867 + 0.956763i \(0.406056\pi\)
\(480\) −15.1153 + 2.92226i −0.689917 + 0.133382i
\(481\) −17.6619 + 10.1971i −0.805311 + 0.464947i
\(482\) 5.82474 + 4.44507i 0.265310 + 0.202467i
\(483\) 0.232242 + 0.185165i 0.0105674 + 0.00842532i
\(484\) −7.04642 9.08324i −0.320292 0.412875i
\(485\) −0.967530 4.86410i −0.0439333 0.220867i
\(486\) −9.25584 20.0082i −0.419854 0.907592i
\(487\) 26.0241 10.7795i 1.17926 0.488467i 0.295019 0.955491i \(-0.404674\pi\)
0.884244 + 0.467024i \(0.154674\pi\)
\(488\) 37.5162 18.8723i 1.69828 0.854308i
\(489\) 13.3682 + 1.12613i 0.604530 + 0.0509255i
\(490\) −6.49680 3.18254i −0.293495 0.143773i
\(491\) −1.64856 + 25.1522i −0.0743987 + 1.13510i 0.783536 + 0.621346i \(0.213414\pi\)
−0.857935 + 0.513758i \(0.828253\pi\)
\(492\) −26.9186 + 26.2116i −1.21358 + 1.18171i
\(493\) 3.95887 + 3.47184i 0.178299 + 0.156364i
\(494\) −22.1837 + 22.3012i −0.998090 + 1.00338i
\(495\) −10.6505 1.80722i −0.478705 0.0812285i
\(496\) −24.8081 + 0.262322i −1.11392 + 0.0117786i
\(497\) 1.82724 + 6.81934i 0.0819628 + 0.305889i
\(498\) −27.5188 + 30.3876i −1.23314 + 1.36170i
\(499\) 13.8330 + 40.7506i 0.619249 + 1.82425i 0.563999 + 0.825776i \(0.309262\pi\)
0.0552503 + 0.998473i \(0.482404\pi\)
\(500\) 7.72582 + 22.3703i 0.345509 + 1.00043i
\(501\) −5.17776 + 1.28470i −0.231325 + 0.0573963i
\(502\) 8.88476 10.1853i 0.396546 0.454593i
\(503\) −8.86883 + 21.4113i −0.395442 + 0.954681i 0.593291 + 0.804988i \(0.297828\pi\)
−0.988733 + 0.149693i \(0.952172\pi\)
\(504\) −23.9204 + 12.8927i −1.06550 + 0.574286i
\(505\) 4.17898 + 10.0890i 0.185962 + 0.448953i
\(506\) 0.0553513 0.164487i 0.00246066 0.00731233i
\(507\) −0.0970537 + 5.21969i −0.00431030 + 0.231814i
\(508\) 0.197737 0.753887i 0.00877318 0.0334483i
\(509\) 26.4990 + 13.0678i 1.17455 + 0.579222i 0.921556 0.388246i \(-0.126919\pi\)
0.252991 + 0.967469i \(0.418586\pi\)
\(510\) 7.55792 + 0.616562i 0.334670 + 0.0273018i
\(511\) 0.367248 0.636092i 0.0162461 0.0281390i
\(512\) 21.1051 + 8.15939i 0.932722 + 0.360597i
\(513\) 21.9831 29.2302i 0.970577 1.29054i
\(514\) −24.3772 10.0220i −1.07523 0.442050i
\(515\) −0.890952 13.5933i −0.0392600 0.598992i
\(516\) −27.9578 14.2528i −1.23077 0.627444i
\(517\) 12.8622 + 14.6665i 0.565679 + 0.645033i
\(518\) −19.3298 21.9243i −0.849304 0.963297i
\(519\) −20.8529 + 3.74630i −0.915339 + 0.164444i
\(520\) 13.9379 + 1.72263i 0.611216 + 0.0755421i
\(521\) −9.75544 + 23.5517i −0.427394 + 1.03182i 0.552717 + 0.833369i \(0.313591\pi\)
−0.980111 + 0.198451i \(0.936409\pi\)
\(522\) −9.20467 6.62129i −0.402877 0.289806i
\(523\) −15.5839 + 23.3229i −0.681436 + 1.01984i 0.316033 + 0.948748i \(0.397649\pi\)
−0.997470 + 0.0710933i \(0.977351\pi\)
\(524\) −11.6941 + 13.4777i −0.510860 + 0.588774i
\(525\) 8.33822 + 11.2953i 0.363910 + 0.492969i
\(526\) −13.4285 + 7.80037i −0.585512 + 0.340112i
\(527\) 11.8037 + 3.16279i 0.514178 + 0.137773i
\(528\) 11.8531 + 10.5642i 0.515838 + 0.459747i
\(529\) 22.2135 5.95210i 0.965805 0.258787i
\(530\) 4.18643 4.20862i 0.181847 0.182811i
\(531\) −7.14643 + 9.87950i −0.310129 + 0.428734i
\(532\) −37.6161 24.8477i −1.63087 1.07728i
\(533\) 30.7396 15.1591i 1.33148 0.656613i
\(534\) −12.3919 31.3204i −0.536251 1.35537i
\(535\) 0.496047 + 3.76785i 0.0214460 + 0.162898i
\(536\) −1.58989 + 27.6104i −0.0686730 + 1.19259i
\(537\) −10.7583 + 9.08660i −0.464257 + 0.392116i
\(538\) −24.8213 + 12.3222i −1.07012 + 0.531247i
\(539\) 1.45559 + 7.31772i 0.0626965 + 0.315197i
\(540\) −16.3273 + 0.244303i −0.702614 + 0.0105131i
\(541\) −0.297354 0.445022i −0.0127843 0.0191330i 0.825022 0.565100i \(-0.191162\pi\)
−0.837807 + 0.545967i \(0.816162\pi\)
\(542\) 2.90303 22.5104i 0.124696 0.966903i
\(543\) 6.52915 + 20.4773i 0.280193 + 0.878765i
\(544\) −8.93106 6.66737i −0.382916 0.285861i
\(545\) 15.6900 9.05863i 0.672086 0.388029i
\(546\) 24.3863 4.44767i 1.04364 0.190343i
\(547\) −11.0862 + 0.726625i −0.474010 + 0.0310682i −0.300536 0.953770i \(-0.597166\pi\)
−0.173473 + 0.984839i \(0.555499\pi\)
\(548\) −33.4969 + 14.0828i −1.43092 + 0.601587i
\(549\) 42.6823 12.7400i 1.82163 0.543730i
\(550\) 4.53948 6.83284i 0.193564 0.291353i
\(551\) 2.45537 18.6504i 0.104602 0.794534i
\(552\) 0.0370122 0.259709i 0.00157535 0.0110539i
\(553\) 3.93166 + 29.8639i 0.167191 + 1.26994i
\(554\) 3.59064 7.32988i 0.152552 0.311417i
\(555\) −4.22971 17.0471i −0.179541 0.723609i
\(556\) 11.1933 33.5562i 0.474702 1.42310i
\(557\) 2.94028 14.7818i 0.124584 0.626325i −0.867154 0.498041i \(-0.834053\pi\)
0.991737 0.128284i \(-0.0409470\pi\)
\(558\) −25.9552 4.33362i −1.09877 0.183457i
\(559\) 20.2422 + 20.2422i 0.856153 + 0.856153i
\(560\) 1.52870 + 20.0695i 0.0645993 + 0.848090i
\(561\) −4.22326 6.58224i −0.178306 0.277903i
\(562\) −0.496448 0.854648i −0.0209414 0.0360511i
\(563\) −14.5256 42.7911i −0.612182 1.80343i −0.595203 0.803575i \(-0.702928\pi\)
−0.0169795 0.999856i \(-0.505405\pi\)
\(564\) 23.1527 + 18.2602i 0.974903 + 0.768891i
\(565\) −2.54570 5.16217i −0.107098 0.217174i
\(566\) −7.42363 + 37.8437i −0.312039 + 1.59069i
\(567\) −27.3740 + 9.02081i −1.14960 + 0.378838i
\(568\) 4.37397 4.44390i 0.183528 0.186462i
\(569\) −22.0858 2.90765i −0.925885 0.121895i −0.347519 0.937673i \(-0.612976\pi\)
−0.578365 + 0.815778i \(0.696309\pi\)
\(570\) −13.1694 23.6741i −0.551604 0.991597i
\(571\) −3.83101 4.36843i −0.160323 0.182813i 0.666101 0.745861i \(-0.267962\pi\)
−0.826424 + 0.563048i \(0.809629\pi\)
\(572\) −7.30818 12.5050i −0.305570 0.522860i
\(573\) 11.0758 + 28.2118i 0.462699 + 1.17856i
\(574\) 30.0061 + 38.8915i 1.25243 + 1.62330i
\(575\) −0.135538 −0.00565231
\(576\) 20.5240 + 12.4404i 0.855168 + 0.518351i
\(577\) −45.0483 −1.87539 −0.937693 0.347464i \(-0.887043\pi\)
−0.937693 + 0.347464i \(0.887043\pi\)
\(578\) −11.3326 14.6883i −0.471373 0.610954i
\(579\) −18.1306 2.73074i −0.753483 0.113486i
\(580\) −7.25114 + 4.23772i −0.301087 + 0.175962i
\(581\) 35.3397 + 40.2972i 1.46614 + 1.67181i
\(582\) −3.97195 + 6.63303i −0.164643 + 0.274948i
\(583\) −6.06983 0.799108i −0.251387 0.0330957i
\(584\) −0.648692 + 0.00514439i −0.0268431 + 0.000212877i
\(585\) 14.2350 + 4.38754i 0.588545 + 0.181402i
\(586\) −6.85851 + 34.9628i −0.283322 + 1.44430i
\(587\) 15.8277 + 32.0954i 0.653279 + 1.32472i 0.931338 + 0.364155i \(0.118642\pi\)
−0.278060 + 0.960564i \(0.589691\pi\)
\(588\) 4.17687 + 10.4760i 0.172251 + 0.432021i
\(589\) −14.0329 41.3396i −0.578216 1.70337i
\(590\) 4.53646 + 7.80962i 0.186763 + 0.321517i
\(591\) 0.692508 1.34083i 0.0284860 0.0551546i
\(592\) −8.03903 + 24.5314i −0.330402 + 1.00823i
\(593\) −5.99521 5.99521i −0.246194 0.246194i 0.573213 0.819407i \(-0.305697\pi\)
−0.819407 + 0.573213i \(0.805697\pi\)
\(594\) 10.4158 + 13.2333i 0.427364 + 0.542970i
\(595\) 1.93412 9.72350i 0.0792914 0.398625i
\(596\) 9.87982 + 3.29560i 0.404693 + 0.134993i
\(597\) −39.5248 11.3823i −1.61764 0.465845i
\(598\) −0.105275 + 0.214907i −0.00430502 + 0.00878820i
\(599\) 0.478115 + 3.63164i 0.0195352 + 0.148385i 0.998433 0.0559677i \(-0.0178244\pi\)
−0.978897 + 0.204353i \(0.934491\pi\)
\(600\) 4.86710 11.4048i 0.198698 0.465598i
\(601\) −1.33464 + 10.1376i −0.0544411 + 0.413522i 0.942425 + 0.334417i \(0.108539\pi\)
−0.996866 + 0.0791045i \(0.974794\pi\)
\(602\) −22.7034 + 34.1733i −0.925323 + 1.39280i
\(603\) −6.78831 + 28.5375i −0.276441 + 1.16214i
\(604\) 5.12864 + 12.1988i 0.208681 + 0.496363i
\(605\) −9.01229 + 0.590697i −0.366402 + 0.0240152i
\(606\) 5.72850 16.0310i 0.232705 0.651216i
\(607\) −20.3397 + 11.7431i −0.825562 + 0.476638i −0.852331 0.523003i \(-0.824811\pi\)
0.0267690 + 0.999642i \(0.491478\pi\)
\(608\) −2.07879 + 39.7624i −0.0843062 + 1.61258i
\(609\) −9.97980 + 10.9618i −0.404402 + 0.444195i
\(610\) 4.21999 32.7222i 0.170862 1.32488i
\(611\) −14.9442 22.3655i −0.604576 0.904812i
\(612\) −8.08814 8.62130i −0.326944 0.348495i
\(613\) 6.12416 + 30.7882i 0.247352 + 1.24352i 0.882195 + 0.470884i \(0.156065\pi\)
−0.634843 + 0.772641i \(0.718935\pi\)
\(614\) 24.8828 12.3527i 1.00419 0.498516i
\(615\) 5.21944 + 29.0527i 0.210468 + 1.17152i
\(616\) 15.4978 13.8102i 0.624425 0.556428i
\(617\) −5.34539 40.6022i −0.215197 1.63458i −0.668844 0.743403i \(-0.733211\pi\)
0.453647 0.891182i \(-0.350123\pi\)
\(618\) −13.1949 + 16.6397i −0.530778 + 0.669345i
\(619\) 31.2292 15.4006i 1.25521 0.619001i 0.311648 0.950198i \(-0.399119\pi\)
0.943562 + 0.331197i \(0.107452\pi\)
\(620\) −10.7429 + 16.2634i −0.431445 + 0.653152i
\(621\) 0.0868860 0.264333i 0.00348661 0.0106073i
\(622\) 8.38319 8.42762i 0.336135 0.337917i
\(623\) −42.5361 + 11.3975i −1.70417 + 0.456631i
\(624\) −14.3029 16.5756i −0.572575 0.663554i
\(625\) 5.73553 + 1.53683i 0.229421 + 0.0614732i
\(626\) −21.3456 + 12.3992i −0.853140 + 0.495572i
\(627\) −11.1699 + 25.6092i −0.446083 + 1.02273i
\(628\) −16.3819 14.2140i −0.653710 0.567202i
\(629\) 7.06428 10.5724i 0.281671 0.421551i
\(630\) −2.13108 + 21.2419i −0.0849042 + 0.846298i
\(631\) 4.99210 12.0520i 0.198732 0.479782i −0.792825 0.609449i \(-0.791391\pi\)
0.991558 + 0.129667i \(0.0413907\pi\)
\(632\) 20.9770 16.3621i 0.834420 0.650851i
\(633\) −1.32777 + 3.68495i −0.0527741 + 0.146464i
\(634\) 13.4802 + 15.2895i 0.535366 + 0.607222i
\(635\) −0.403726 0.460362i −0.0160214 0.0182689i
\(636\) −9.24155 + 0.482338i −0.366451 + 0.0191260i
\(637\) −0.672870 10.2660i −0.0266601 0.406754i
\(638\) 8.01118 + 3.29355i 0.317166 + 0.130393i
\(639\) 5.39297 3.82827i 0.213343 0.151444i
\(640\) 14.5957 10.1481i 0.576944 0.401139i
\(641\) 4.80572 8.32375i 0.189814 0.328768i −0.755374 0.655294i \(-0.772545\pi\)
0.945188 + 0.326526i \(0.105878\pi\)
\(642\) 3.36960 4.87291i 0.132988 0.192318i
\(643\) −9.37671 4.62408i −0.369781 0.182356i 0.247898 0.968786i \(-0.420260\pi\)
−0.617679 + 0.786430i \(0.711927\pi\)
\(644\) −0.331750 0.0870151i −0.0130728 0.00342887i
\(645\) −21.5766 + 11.9280i −0.849577 + 0.469665i
\(646\) 6.25496 18.5878i 0.246098 0.731328i
\(647\) −10.4455 25.2176i −0.410654 0.991405i −0.984963 0.172767i \(-0.944729\pi\)
0.574309 0.818638i \(-0.305271\pi\)
\(648\) 19.1222 + 16.8031i 0.751189 + 0.660087i
\(649\) 3.56453 8.60553i 0.139920 0.337796i
\(650\) −7.43569 + 8.52413i −0.291652 + 0.334344i
\(651\) −9.52048 + 33.0598i −0.373137 + 1.29572i
\(652\) −14.6423 + 5.05687i −0.573436 + 0.198042i
\(653\) 11.1985 + 32.9898i 0.438233 + 1.29099i 0.911945 + 0.410312i \(0.134580\pi\)
−0.473713 + 0.880680i \(0.657086\pi\)
\(654\) −27.6094 5.95108i −1.07961 0.232706i
\(655\) 3.62830 + 13.5410i 0.141769 + 0.529090i
\(656\) 16.1778 40.2553i 0.631636 1.57171i
\(657\) −0.678367 0.115108i −0.0264656 0.00449079i
\(658\) 27.1875 27.3317i 1.05988 1.06550i
\(659\) −15.4934 13.5874i −0.603539 0.529289i 0.302135 0.953265i \(-0.402301\pi\)
−0.905673 + 0.423976i \(0.860634\pi\)
\(660\) 12.0908 3.06790i 0.470633 0.119418i
\(661\) 3.03005 46.2296i 0.117855 1.79812i −0.373983 0.927436i \(-0.622008\pi\)
0.491838 0.870687i \(-0.336325\pi\)
\(662\) −1.97680 0.968363i −0.0768306 0.0376365i
\(663\) 4.58891 + 9.75867i 0.178219 + 0.378995i
\(664\) 14.8604 44.9453i 0.576697 1.74422i
\(665\) −32.7219 + 13.5538i −1.26890 + 0.525595i
\(666\) −12.9511 + 24.1244i −0.501845 + 0.934801i
\(667\) −0.0279198 0.140362i −0.00108106 0.00543485i
\(668\) 4.86721 3.77579i 0.188318 0.146090i
\(669\) −18.4124 + 7.22865i −0.711866 + 0.279476i
\(670\) 17.2726 + 13.1813i 0.667298 + 0.509239i
\(671\) −29.4681 + 17.0134i −1.13760 + 0.656796i
\(672\) 19.2349 24.7904i 0.742002 0.956309i
\(673\) 26.8224 + 15.4859i 1.03393 + 0.596938i 0.918107 0.396332i \(-0.129717\pi\)
0.115820 + 0.993270i \(0.463051\pi\)
\(674\) −2.59083 6.20834i −0.0997949 0.239136i
\(675\) 7.20076 11.0057i 0.277157 0.423611i
\(676\) −2.33631 5.55707i −0.0898581 0.213734i
\(677\) −40.8560 13.8688i −1.57022 0.533019i −0.605402 0.795920i \(-0.706988\pi\)
−0.964823 + 0.262901i \(0.915321\pi\)
\(678\) −2.46025 + 8.62889i −0.0944852 + 0.331391i
\(679\) 8.01912 + 6.15329i 0.307746 + 0.236142i
\(680\) −8.26886 + 2.88023i −0.317096 + 0.110452i
\(681\) −11.9715 + 17.2149i −0.458747 + 0.659677i
\(682\) 20.0553 1.36774i 0.767956 0.0523736i
\(683\) 38.7469 + 25.8899i 1.48261 + 0.990648i 0.992924 + 0.118749i \(0.0378883\pi\)
0.489685 + 0.871899i \(0.337112\pi\)
\(684\) −9.55581 + 41.1367i −0.365376 + 1.57290i
\(685\) −5.56933 + 27.9989i −0.212793 + 1.06978i
\(686\) −16.3684 + 4.43231i −0.624949 + 0.169226i
\(687\) 0.0276277 + 0.589171i 0.00105406 + 0.0224783i
\(688\) 36.1814 + 1.98749i 1.37940 + 0.0757724i
\(689\) 8.15421 + 2.18492i 0.310651 + 0.0832386i
\(690\) −0.152766 0.138343i −0.00581569 0.00526665i
\(691\) 21.1463 24.1127i 0.804442 0.917290i −0.193521 0.981096i \(-0.561991\pi\)
0.997962 + 0.0638062i \(0.0203240\pi\)
\(692\) 20.2692 13.6990i 0.770519 0.520758i
\(693\) 18.7489 11.5432i 0.712211 0.438490i
\(694\) 1.37688 7.01896i 0.0522657 0.266436i
\(695\) −16.9180 22.0480i −0.641738 0.836329i
\(696\) 12.8133 + 2.69105i 0.485688 + 0.102004i
\(697\) −13.0088 + 16.9534i −0.492744 + 0.642157i
\(698\) 36.1877 31.9054i 1.36972 1.20764i
\(699\) 41.0706 22.7047i 1.55343 0.858771i
\(700\) −14.0823 8.03143i −0.532259 0.303559i
\(701\) 19.7894 13.2228i 0.747434 0.499420i −0.122572 0.992460i \(-0.539114\pi\)
0.870007 + 0.493040i \(0.164114\pi\)
\(702\) −11.8576 19.9659i −0.447536 0.753563i
\(703\) −45.4258 −1.71327
\(704\) −17.4521 5.61713i −0.657752 0.211704i
\(705\) 22.0712 7.03735i 0.831248 0.265042i
\(706\) 1.77149 0.237986i 0.0666708 0.00895674i
\(707\) −19.9615 9.84393i −0.750730 0.370219i
\(708\) 2.93027 13.7713i 0.110126 0.517556i
\(709\) 4.33325 12.7654i 0.162739 0.479413i −0.834719 0.550676i \(-0.814370\pi\)
0.997458 + 0.0712635i \(0.0227031\pi\)
\(710\) −0.968389 4.80205i −0.0363430 0.180218i
\(711\) 24.9446 13.1905i 0.935495 0.494683i
\(712\) 27.7191 + 27.2829i 1.03882 + 1.02247i
\(713\) −0.202187 0.263495i −0.00757195 0.00986795i
\(714\) −12.4099 + 9.21178i −0.464429 + 0.344742i
\(715\) −11.3547 0.744226i −0.424642 0.0278325i
\(716\) 7.11473 14.6216i 0.265890 0.546435i
\(717\) −19.9664 27.0474i −0.745659 1.01010i
\(718\) −2.98323 + 5.19879i −0.111333 + 0.194017i
\(719\) −9.83278 + 9.83278i −0.366701 + 0.366701i −0.866273 0.499572i \(-0.833491\pi\)
0.499572 + 0.866273i \(0.333491\pi\)
\(720\) 17.1266 7.88656i 0.638272 0.293915i
\(721\) 19.6323 + 19.6323i 0.731147 + 0.731147i
\(722\) −41.6927 + 11.2897i −1.55164 + 0.420160i
\(723\) −8.22545 3.58767i −0.305908 0.133427i
\(724\) −16.4621 18.5724i −0.611808 0.690237i
\(725\) 0.442425 6.75011i 0.0164313 0.250693i
\(726\) 11.0320 + 8.74818i 0.409436 + 0.324676i
\(727\) 16.3418 12.5395i 0.606083 0.465064i −0.259559 0.965727i \(-0.583577\pi\)
0.865642 + 0.500663i \(0.166911\pi\)
\(728\) −23.6726 + 16.0905i −0.877364 + 0.596354i
\(729\) 16.8479 + 21.0985i 0.623998 + 0.781426i
\(730\) −0.282026 + 0.424506i −0.0104382 + 0.0157117i
\(731\) −16.9010 5.73713i −0.625108 0.212196i
\(732\) −39.1178 + 33.3952i −1.44584 + 1.23432i
\(733\) 7.12294 14.4439i 0.263092 0.533497i −0.724740 0.689022i \(-0.758040\pi\)
0.987832 + 0.155525i \(0.0497069\pi\)
\(734\) −10.3020 + 13.4996i −0.380254 + 0.498278i
\(735\) 8.65645 + 1.88982i 0.319298 + 0.0697071i
\(736\) 0.0822607 + 0.291533i 0.00303217 + 0.0107460i
\(737\) 22.4084i 0.825422i
\(738\) 24.3705 39.0329i 0.897092 1.43682i
\(739\) 21.0806 + 31.5493i 0.775462 + 1.16056i 0.983228 + 0.182382i \(0.0583809\pi\)
−0.207766 + 0.978179i \(0.566619\pi\)
\(740\) 12.4313 + 16.0246i 0.456983 + 0.589077i
\(741\) 19.8795 32.9999i 0.730292 1.21228i
\(742\) −0.759382 + 12.0749i −0.0278778 + 0.443285i
\(743\) 5.61740 + 4.31038i 0.206082 + 0.158133i 0.706646 0.707567i \(-0.250207\pi\)
−0.500564 + 0.865700i \(0.666874\pi\)
\(744\) 29.4321 7.55094i 1.07903 0.276831i
\(745\) 6.49151 4.98111i 0.237830 0.182494i
\(746\) −29.2327 + 19.6446i −1.07029 + 0.719241i
\(747\) 23.8659 44.1752i 0.873209 1.61628i
\(748\) 7.53497 + 4.97728i 0.275506 + 0.181988i
\(749\) −5.82347 5.10705i −0.212785 0.186607i
\(750\) −15.7172 24.3546i −0.573913 0.889303i
\(751\) 1.08853 4.06245i 0.0397210 0.148241i −0.943217 0.332176i \(-0.892217\pi\)
0.982938 + 0.183935i \(0.0588838\pi\)
\(752\) −32.9797 8.46419i −1.20265 0.308657i
\(753\) −7.59618 + 14.7077i −0.276820 + 0.535980i
\(754\) −10.3593 5.94447i −0.377262 0.216485i
\(755\) 10.1966 + 2.02823i 0.371092 + 0.0738147i
\(756\) 24.6907 22.3155i 0.897993 0.811605i
\(757\) 19.3787 29.0023i 0.704331 1.05411i −0.290919 0.956748i \(-0.593961\pi\)
0.995249 0.0973576i \(-0.0310390\pi\)
\(758\) −31.5156 + 36.1288i −1.14470 + 1.31226i
\(759\) −0.0178424 + 0.211805i −0.000647638 + 0.00768802i
\(760\) 24.9674 + 18.8455i 0.905664 + 0.683598i
\(761\) −29.3493 + 38.2487i −1.06391 + 1.38652i −0.146205 + 0.989254i \(0.546706\pi\)
−0.917706 + 0.397261i \(0.869961\pi\)
\(762\) −0.0152227 + 0.954430i −0.000551462 + 0.0345753i
\(763\) −11.8692 + 34.9657i −0.429696 + 1.26584i
\(764\) −24.8769 24.6152i −0.900015 0.890548i
\(765\) −9.16988 + 1.47199i −0.331538 + 0.0532198i
\(766\) −45.8796 18.8620i −1.65770 0.681512i
\(767\) −6.42189 + 11.1230i −0.231881 + 0.401629i
\(768\) −27.4849 3.54702i −0.991775 0.127992i
\(769\) −5.14987 8.91984i −0.185709 0.321658i 0.758106 0.652131i \(-0.226125\pi\)
−0.943815 + 0.330474i \(0.892792\pi\)
\(770\) −2.17140 16.1631i −0.0782518 0.582479i
\(771\) 31.9205 + 4.80770i 1.14959 + 0.173145i
\(772\) 20.4209 5.58764i 0.734964 0.201104i