Properties

Label 390.2.bh.c.71.4
Level $390$
Weight $2$
Character 390.71
Analytic conductor $3.114$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bh (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.4
Character \(\chi\) \(=\) 390.71
Dual form 390.2.bh.c.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.888751 + 1.48665i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.707107 - 0.707107i) q^{5} +(-1.24324 - 1.20597i) q^{6} +(0.431103 - 1.60890i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.42024 + 2.64252i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.888751 + 1.48665i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.707107 - 0.707107i) q^{5} +(-1.24324 - 1.20597i) q^{6} +(0.431103 - 1.60890i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.42024 + 2.64252i) q^{9} +(0.866025 + 0.500000i) q^{10} +(0.985615 + 3.67836i) q^{11} +(1.51301 + 0.843099i) q^{12} +(2.83555 + 2.22703i) q^{13} +1.66565i q^{14} +(0.422776 - 1.67966i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.660987 + 1.14486i) q^{17} +(0.687914 - 2.92006i) q^{18} +(5.54438 + 1.48561i) q^{19} +(-0.965926 - 0.258819i) q^{20} +(2.77501 - 0.789012i) q^{21} +(-1.90406 - 3.29793i) q^{22} +(-3.32990 + 5.76756i) q^{23} +(-1.67966 - 0.422776i) q^{24} +1.00000i q^{25} +(-3.31533 - 1.41726i) q^{26} +(-5.19074 + 0.237145i) q^{27} +(-0.431103 - 1.60890i) q^{28} +(-1.32839 - 0.766948i) q^{29} +(0.0263575 + 1.73185i) q^{30} +(5.84819 - 5.84819i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-4.59246 + 4.73441i) q^{33} +(-0.934777 - 0.934777i) q^{34} +(-1.44250 + 0.832827i) q^{35} +(0.0912946 + 2.99861i) q^{36} +(-9.72471 + 2.60573i) q^{37} -5.73996 q^{38} +(-0.790720 + 6.19474i) q^{39} +1.00000 q^{40} +(4.33407 - 1.16131i) q^{41} +(-2.47624 + 1.48035i) q^{42} +(-6.30456 + 3.63994i) q^{43} +(2.69275 + 2.69275i) q^{44} +(2.87281 - 0.864281i) q^{45} +(1.72368 - 6.43288i) q^{46} +(9.18700 - 9.18700i) q^{47} +(1.73185 - 0.0263575i) q^{48} +(3.65947 + 2.11280i) q^{49} +(-0.258819 - 0.965926i) q^{50} +(-1.11455 + 2.00015i) q^{51} +(3.56917 + 0.510896i) q^{52} +0.302458i q^{53} +(4.95249 - 1.57253i) q^{54} +(1.90406 - 3.29793i) q^{55} +(0.832827 + 1.44250i) q^{56} +(2.71899 + 9.56288i) q^{57} +(1.48163 + 0.397002i) q^{58} +(-3.71613 - 0.995733i) q^{59} +(-0.473695 - 1.66602i) q^{60} +(2.23843 + 3.87708i) q^{61} +(-4.13529 + 7.16254i) q^{62} +(3.63928 + 3.42422i) q^{63} -1.00000i q^{64} +(-0.430282 - 3.57978i) q^{65} +(3.21062 - 5.76171i) q^{66} +(-0.0586497 - 0.218884i) q^{67} +(1.14486 + 0.660987i) q^{68} +(-11.5338 + 0.175536i) q^{69} +(1.17780 - 1.17780i) q^{70} +(3.95652 - 14.7659i) q^{71} +(-0.864281 - 2.87281i) q^{72} +(-0.682227 - 0.682227i) q^{73} +(8.71894 - 5.03388i) q^{74} +(-1.48665 + 0.888751i) q^{75} +(5.54438 - 1.48561i) q^{76} +6.34302 q^{77} +(-0.839539 - 6.18831i) q^{78} -8.02282 q^{79} +(-0.965926 + 0.258819i) q^{80} +(-4.96583 - 7.50604i) q^{81} +(-3.88582 + 2.24348i) q^{82} +(-8.80953 - 8.80953i) q^{83} +(2.00872 - 2.07081i) q^{84} +(0.342152 - 1.27693i) q^{85} +(5.14765 - 5.14765i) q^{86} +(-0.0404297 - 2.65648i) q^{87} +(-3.29793 - 1.90406i) q^{88} +(2.31981 + 8.65764i) q^{89} +(-2.55123 + 1.57837i) q^{90} +(4.80548 - 3.60202i) q^{91} +6.65980i q^{92} +(13.8918 + 3.49661i) q^{93} +(-6.49619 + 11.2517i) q^{94} +(-2.86998 - 4.97095i) q^{95} +(-1.66602 + 0.473695i) q^{96} +(-1.63135 - 0.437120i) q^{97} +(-4.08161 - 1.09366i) q^{98} +(-11.1200 - 2.61966i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q + 8 q^{6} - 8 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 40 q + 8 q^{6} - 8 q^{7} + 8 q^{9} + 8 q^{13} + 4 q^{15} + 20 q^{16} - 8 q^{18} - 16 q^{19} + 4 q^{21} - 8 q^{22} + 8 q^{24} - 48 q^{27} + 8 q^{28} + 36 q^{31} + 12 q^{33} + 16 q^{34} - 12 q^{36} - 64 q^{37} - 60 q^{39} + 40 q^{40} - 12 q^{42} + 8 q^{45} - 32 q^{46} + 48 q^{49} + 24 q^{52} - 28 q^{54} + 8 q^{55} - 76 q^{57} - 28 q^{58} + 4 q^{60} - 40 q^{61} + 80 q^{63} + 40 q^{66} - 28 q^{67} - 36 q^{69} + 16 q^{70} + 16 q^{72} + 8 q^{73} - 16 q^{76} - 28 q^{78} + 40 q^{79} + 12 q^{81} + 20 q^{84} + 44 q^{85} + 40 q^{87} + 12 q^{88} + 120 q^{91} - 8 q^{93} - 16 q^{94} + 4 q^{96} - 160 q^{97} - 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) 0.888751 + 1.48665i 0.513121 + 0.858316i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −0.707107 0.707107i −0.316228 0.316228i
\(6\) −1.24324 1.20597i −0.507551 0.492333i
\(7\) 0.431103 1.60890i 0.162942 0.608106i −0.835352 0.549715i \(-0.814736\pi\)
0.998294 0.0583912i \(-0.0185971\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −1.42024 + 2.64252i −0.473414 + 0.880840i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 0.985615 + 3.67836i 0.297174 + 1.10907i 0.939475 + 0.342616i \(0.111313\pi\)
−0.642301 + 0.766452i \(0.722020\pi\)
\(12\) 1.51301 + 0.843099i 0.436767 + 0.243382i
\(13\) 2.83555 + 2.22703i 0.786439 + 0.617668i
\(14\) 1.66565i 0.445165i
\(15\) 0.422776 1.67966i 0.109160 0.433687i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 0.660987 + 1.14486i 0.160313 + 0.277670i 0.934981 0.354698i \(-0.115416\pi\)
−0.774668 + 0.632368i \(0.782083\pi\)
\(18\) 0.687914 2.92006i 0.162143 0.688266i
\(19\) 5.54438 + 1.48561i 1.27197 + 0.340823i 0.830785 0.556594i \(-0.187892\pi\)
0.441183 + 0.897417i \(0.354559\pi\)
\(20\) −0.965926 0.258819i −0.215988 0.0578737i
\(21\) 2.77501 0.789012i 0.605556 0.172177i
\(22\) −1.90406 3.29793i −0.405947 0.703121i
\(23\) −3.32990 + 5.76756i −0.694333 + 1.20262i 0.276073 + 0.961137i \(0.410967\pi\)
−0.970405 + 0.241482i \(0.922366\pi\)
\(24\) −1.67966 0.422776i −0.342859 0.0862989i
\(25\) 1.00000i 0.200000i
\(26\) −3.31533 1.41726i −0.650189 0.277947i
\(27\) −5.19074 + 0.237145i −0.998958 + 0.0456385i
\(28\) −0.431103 1.60890i −0.0814708 0.304053i
\(29\) −1.32839 0.766948i −0.246677 0.142419i 0.371565 0.928407i \(-0.378821\pi\)
−0.618242 + 0.785988i \(0.712155\pi\)
\(30\) 0.0263575 + 1.73185i 0.00481221 + 0.316191i
\(31\) 5.84819 5.84819i 1.05037 1.05037i 0.0517031 0.998662i \(-0.483535\pi\)
0.998662 0.0517031i \(-0.0164650\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −4.59246 + 4.73441i −0.799445 + 0.824155i
\(34\) −0.934777 0.934777i −0.160313 0.160313i
\(35\) −1.44250 + 0.832827i −0.243827 + 0.140773i
\(36\) 0.0912946 + 2.99861i 0.0152158 + 0.499768i
\(37\) −9.72471 + 2.60573i −1.59873 + 0.428379i −0.944659 0.328052i \(-0.893608\pi\)
−0.654073 + 0.756432i \(0.726941\pi\)
\(38\) −5.73996 −0.931145
\(39\) −0.790720 + 6.19474i −0.126617 + 0.991952i
\(40\) 1.00000 0.158114
\(41\) 4.33407 1.16131i 0.676868 0.181366i 0.0960213 0.995379i \(-0.469388\pi\)
0.580847 + 0.814013i \(0.302722\pi\)
\(42\) −2.47624 + 1.48035i −0.382092 + 0.228423i
\(43\) −6.30456 + 3.63994i −0.961436 + 0.555085i −0.896615 0.442812i \(-0.853981\pi\)
−0.0648212 + 0.997897i \(0.520648\pi\)
\(44\) 2.69275 + 2.69275i 0.405947 + 0.405947i
\(45\) 2.87281 0.864281i 0.428253 0.128839i
\(46\) 1.72368 6.43288i 0.254143 0.948476i
\(47\) 9.18700 9.18700i 1.34006 1.34006i 0.444070 0.895992i \(-0.353534\pi\)
0.895992 0.444070i \(-0.146466\pi\)
\(48\) 1.73185 0.0263575i 0.249971 0.00380438i
\(49\) 3.65947 + 2.11280i 0.522782 + 0.301828i
\(50\) −0.258819 0.965926i −0.0366025 0.136603i
\(51\) −1.11455 + 2.00015i −0.156069 + 0.280077i
\(52\) 3.56917 + 0.510896i 0.494955 + 0.0708485i
\(53\) 0.302458i 0.0415458i 0.999784 + 0.0207729i \(0.00661269\pi\)
−0.999784 + 0.0207729i \(0.993387\pi\)
\(54\) 4.95249 1.57253i 0.673949 0.213994i
\(55\) 1.90406 3.29793i 0.256744 0.444693i
\(56\) 0.832827 + 1.44250i 0.111291 + 0.192762i
\(57\) 2.71899 + 9.56288i 0.360140 + 1.26663i
\(58\) 1.48163 + 0.397002i 0.194548 + 0.0521289i
\(59\) −3.71613 0.995733i −0.483798 0.129633i 0.00867240 0.999962i \(-0.497239\pi\)
−0.492471 + 0.870329i \(0.663906\pi\)
\(60\) −0.473695 1.66602i −0.0611538 0.215082i
\(61\) 2.23843 + 3.87708i 0.286602 + 0.496409i 0.972996 0.230820i \(-0.0741409\pi\)
−0.686394 + 0.727229i \(0.740808\pi\)
\(62\) −4.13529 + 7.16254i −0.525183 + 0.909643i
\(63\) 3.63928 + 3.42422i 0.458506 + 0.431412i
\(64\) 1.00000i 0.125000i
\(65\) −0.430282 3.57978i −0.0533699 0.444018i
\(66\) 3.21062 5.76171i 0.395200 0.709217i
\(67\) −0.0586497 0.218884i −0.00716520 0.0267409i 0.962251 0.272165i \(-0.0877396\pi\)
−0.969416 + 0.245424i \(0.921073\pi\)
\(68\) 1.14486 + 0.660987i 0.138835 + 0.0801564i
\(69\) −11.5338 + 0.175536i −1.38850 + 0.0211321i
\(70\) 1.17780 1.17780i 0.140773 0.140773i
\(71\) 3.95652 14.7659i 0.469553 1.75240i −0.171782 0.985135i \(-0.554953\pi\)
0.641335 0.767261i \(-0.278381\pi\)
\(72\) −0.864281 2.87281i −0.101857 0.338564i
\(73\) −0.682227 0.682227i −0.0798487 0.0798487i 0.666054 0.745903i \(-0.267982\pi\)
−0.745903 + 0.666054i \(0.767982\pi\)
\(74\) 8.71894 5.03388i 1.01356 0.585177i
\(75\) −1.48665 + 0.888751i −0.171663 + 0.102624i
\(76\) 5.54438 1.48561i 0.635984 0.170411i
\(77\) 6.34302 0.722854
\(78\) −0.839539 6.18831i −0.0950590 0.700688i
\(79\) −8.02282 −0.902638 −0.451319 0.892363i \(-0.649046\pi\)
−0.451319 + 0.892363i \(0.649046\pi\)
\(80\) −0.965926 + 0.258819i −0.107994 + 0.0289368i
\(81\) −4.96583 7.50604i −0.551758 0.834004i
\(82\) −3.88582 + 2.24348i −0.429117 + 0.247751i
\(83\) −8.80953 8.80953i −0.966972 0.966972i 0.0324997 0.999472i \(-0.489653\pi\)
−0.999472 + 0.0324997i \(0.989653\pi\)
\(84\) 2.00872 2.07081i 0.219169 0.225944i
\(85\) 0.342152 1.27693i 0.0371116 0.138502i
\(86\) 5.14765 5.14765i 0.555085 0.555085i
\(87\) −0.0404297 2.65648i −0.00433452 0.284805i
\(88\) −3.29793 1.90406i −0.351561 0.202974i
\(89\) 2.31981 + 8.65764i 0.245899 + 0.917708i 0.972929 + 0.231103i \(0.0742334\pi\)
−0.727030 + 0.686606i \(0.759100\pi\)
\(90\) −2.55123 + 1.57837i −0.268923 + 0.166375i
\(91\) 4.80548 3.60202i 0.503752 0.377595i
\(92\) 6.65980i 0.694333i
\(93\) 13.8918 + 3.49661i 1.44051 + 0.362581i
\(94\) −6.49619 + 11.2517i −0.670031 + 1.16053i
\(95\) −2.86998 4.97095i −0.294454 0.510009i
\(96\) −1.66602 + 0.473695i −0.170037 + 0.0483463i
\(97\) −1.63135 0.437120i −0.165639 0.0443828i 0.175046 0.984560i \(-0.443992\pi\)
−0.340685 + 0.940177i \(0.610659\pi\)
\(98\) −4.08161 1.09366i −0.412305 0.110477i
\(99\) −11.1200 2.61966i −1.11760 0.263286i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 3.60713 6.24773i 0.358923 0.621672i −0.628859 0.777520i \(-0.716478\pi\)
0.987781 + 0.155848i \(0.0498109\pi\)
\(102\) 0.558899 2.22047i 0.0553393 0.219859i
\(103\) 14.1200i 1.39129i −0.718387 0.695643i \(-0.755119\pi\)
0.718387 0.695643i \(-0.244881\pi\)
\(104\) −3.57978 + 0.430282i −0.351027 + 0.0421926i
\(105\) −2.52014 1.40431i −0.245941 0.137047i
\(106\) −0.0782818 0.292152i −0.00760340 0.0283763i
\(107\) 5.10228 + 2.94580i 0.493256 + 0.284781i 0.725924 0.687775i \(-0.241412\pi\)
−0.232668 + 0.972556i \(0.574746\pi\)
\(108\) −4.37674 + 2.80074i −0.421152 + 0.269502i
\(109\) 7.40188 7.40188i 0.708971 0.708971i −0.257348 0.966319i \(-0.582849\pi\)
0.966319 + 0.257348i \(0.0828485\pi\)
\(110\) −0.985615 + 3.67836i −0.0939747 + 0.350718i
\(111\) −12.5166 12.1414i −1.18803 1.15241i
\(112\) −1.17780 1.17780i −0.111291 0.111291i
\(113\) 9.89888 5.71512i 0.931208 0.537633i 0.0440148 0.999031i \(-0.485985\pi\)
0.887194 + 0.461398i \(0.152652\pi\)
\(114\) −5.10140 8.53330i −0.477790 0.799217i
\(115\) 6.43288 1.72368i 0.599869 0.160734i
\(116\) −1.53390 −0.142419
\(117\) −9.91214 + 4.33006i −0.916378 + 0.400314i
\(118\) 3.84722 0.354165
\(119\) 2.12692 0.569907i 0.194975 0.0522433i
\(120\) 0.888751 + 1.48665i 0.0811315 + 0.135712i
\(121\) −3.03264 + 1.75090i −0.275695 + 0.159173i
\(122\) −3.16562 3.16562i −0.286602 0.286602i
\(123\) 5.57837 + 5.41112i 0.502985 + 0.487904i
\(124\) 2.14059 7.98877i 0.192230 0.717413i
\(125\) 0.707107 0.707107i 0.0632456 0.0632456i
\(126\) −4.40152 2.36563i −0.392119 0.210747i
\(127\) −3.58413 2.06930i −0.318040 0.183621i 0.332478 0.943111i \(-0.392115\pi\)
−0.650519 + 0.759490i \(0.725448\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −11.0145 6.13765i −0.969772 0.540390i
\(130\) 1.34214 + 3.34644i 0.117713 + 0.293502i
\(131\) 4.18756i 0.365869i 0.983125 + 0.182935i \(0.0585597\pi\)
−0.983125 + 0.182935i \(0.941440\pi\)
\(132\) −1.60998 + 6.39635i −0.140131 + 0.556731i
\(133\) 4.78040 8.27989i 0.414513 0.717958i
\(134\) 0.113303 + 0.196246i 0.00978785 + 0.0169531i
\(135\) 3.83809 + 3.50272i 0.330330 + 0.301466i
\(136\) −1.27693 0.342152i −0.109496 0.0293393i
\(137\) −11.6063 3.10990i −0.991593 0.265697i −0.273674 0.961823i \(-0.588239\pi\)
−0.717920 + 0.696126i \(0.754906\pi\)
\(138\) 11.0953 3.15472i 0.944499 0.268547i
\(139\) −1.87876 3.25411i −0.159354 0.276010i 0.775282 0.631616i \(-0.217608\pi\)
−0.934636 + 0.355606i \(0.884275\pi\)
\(140\) −0.832827 + 1.44250i −0.0703867 + 0.121913i
\(141\) 21.8228 + 5.49287i 1.83781 + 0.462583i
\(142\) 15.2868i 1.28284i
\(143\) −5.39709 + 12.6252i −0.451327 + 1.05577i
\(144\) 1.57837 + 2.55123i 0.131531 + 0.212602i
\(145\) 0.397002 + 1.48163i 0.0329692 + 0.123043i
\(146\) 0.835555 + 0.482408i 0.0691510 + 0.0399243i
\(147\) 0.111376 + 7.31810i 0.00918616 + 0.603587i
\(148\) −7.11898 + 7.11898i −0.585177 + 0.585177i
\(149\) −0.101260 + 0.377907i −0.00829554 + 0.0309594i −0.969950 0.243306i \(-0.921768\pi\)
0.961654 + 0.274265i \(0.0884347\pi\)
\(150\) 1.20597 1.24324i 0.0984667 0.101510i
\(151\) −13.6378 13.6378i −1.10983 1.10983i −0.993172 0.116655i \(-0.962783\pi\)
−0.116655 0.993172i \(-0.537217\pi\)
\(152\) −4.97095 + 2.86998i −0.403198 + 0.232786i
\(153\) −3.96409 + 0.120689i −0.320477 + 0.00975714i
\(154\) −6.12688 + 1.64169i −0.493718 + 0.132291i
\(155\) −8.27059 −0.664310
\(156\) 2.41258 + 5.76016i 0.193161 + 0.461182i
\(157\) 15.9176 1.27036 0.635180 0.772364i \(-0.280926\pi\)
0.635180 + 0.772364i \(0.280926\pi\)
\(158\) 7.74945 2.07646i 0.616513 0.165194i
\(159\) −0.449648 + 0.268810i −0.0356594 + 0.0213180i
\(160\) 0.866025 0.500000i 0.0684653 0.0395285i
\(161\) 7.84389 + 7.84389i 0.618185 + 0.618185i
\(162\) 6.73932 + 5.96502i 0.529491 + 0.468656i
\(163\) −3.45420 + 12.8913i −0.270554 + 1.00972i 0.688208 + 0.725513i \(0.258397\pi\)
−0.958762 + 0.284209i \(0.908269\pi\)
\(164\) 3.17276 3.17276i 0.247751 0.247751i
\(165\) 6.59510 0.100373i 0.513428 0.00781401i
\(166\) 10.7894 + 6.22928i 0.837422 + 0.483486i
\(167\) 2.70988 + 10.1134i 0.209697 + 0.782599i 0.987966 + 0.154669i \(0.0494310\pi\)
−0.778270 + 0.627930i \(0.783902\pi\)
\(168\) −1.40431 + 2.52014i −0.108345 + 0.194433i
\(169\) 3.08064 + 12.6297i 0.236972 + 0.971516i
\(170\) 1.32197i 0.101391i
\(171\) −11.8001 + 12.5412i −0.902378 + 0.959050i
\(172\) −3.63994 + 6.30456i −0.277543 + 0.480718i
\(173\) −4.64852 8.05147i −0.353420 0.612142i 0.633426 0.773803i \(-0.281648\pi\)
−0.986846 + 0.161661i \(0.948315\pi\)
\(174\) 0.726600 + 2.55550i 0.0550834 + 0.193732i
\(175\) 1.60890 + 0.431103i 0.121621 + 0.0325883i
\(176\) 3.67836 + 0.985615i 0.277267 + 0.0742935i
\(177\) −1.82241 6.40953i −0.136981 0.481770i
\(178\) −4.48153 7.76223i −0.335905 0.581804i
\(179\) 7.73613 13.3994i 0.578226 1.00152i −0.417457 0.908697i \(-0.637079\pi\)
0.995683 0.0928197i \(-0.0295880\pi\)
\(180\) 2.05578 2.18489i 0.153229 0.162852i
\(181\) 22.8979i 1.70199i 0.525173 + 0.850995i \(0.324000\pi\)
−0.525173 + 0.850995i \(0.676000\pi\)
\(182\) −3.70947 + 4.72304i −0.274964 + 0.350095i
\(183\) −3.77444 + 6.77352i −0.279015 + 0.500713i
\(184\) −1.72368 6.43288i −0.127072 0.474238i
\(185\) 8.71894 + 5.03388i 0.641029 + 0.370098i
\(186\) −14.3234 + 0.217992i −1.05024 + 0.0159840i
\(187\) −3.55974 + 3.55974i −0.260314 + 0.260314i
\(188\) 3.36268 12.5497i 0.245248 0.915280i
\(189\) −1.85620 + 8.45360i −0.135019 + 0.614909i
\(190\) 4.05877 + 4.05877i 0.294454 + 0.294454i
\(191\) −6.68706 + 3.86078i −0.483859 + 0.279356i −0.722023 0.691869i \(-0.756788\pi\)
0.238164 + 0.971225i \(0.423454\pi\)
\(192\) 1.48665 0.888751i 0.107290 0.0641401i
\(193\) −6.17479 + 1.65453i −0.444471 + 0.119096i −0.474111 0.880465i \(-0.657230\pi\)
0.0296403 + 0.999561i \(0.490564\pi\)
\(194\) 1.68890 0.121256
\(195\) 4.93946 3.82122i 0.353722 0.273643i
\(196\) 4.22560 0.301828
\(197\) 14.1811 3.79982i 1.01036 0.270726i 0.284582 0.958652i \(-0.408145\pi\)
0.725781 + 0.687925i \(0.241478\pi\)
\(198\) 11.4191 0.347661i 0.811518 0.0247072i
\(199\) −2.52204 + 1.45610i −0.178782 + 0.103220i −0.586720 0.809790i \(-0.699581\pi\)
0.407938 + 0.913010i \(0.366248\pi\)
\(200\) −0.707107 0.707107i −0.0500000 0.0500000i
\(201\) 0.273278 0.281725i 0.0192755 0.0198713i
\(202\) −1.86719 + 6.96843i −0.131375 + 0.490297i
\(203\) −1.80662 + 1.80662i −0.126800 + 0.126800i
\(204\) 0.0348440 + 2.28946i 0.00243957 + 0.160294i
\(205\) −3.88582 2.24348i −0.271397 0.156691i
\(206\) 3.65453 + 13.6389i 0.254623 + 0.950266i
\(207\) −10.5116 16.9907i −0.730609 1.18093i
\(208\) 3.34644 1.34214i 0.232034 0.0930605i
\(209\) 21.8585i 1.51198i
\(210\) 2.79773 + 0.704199i 0.193062 + 0.0485944i
\(211\) 3.43660 5.95236i 0.236585 0.409777i −0.723147 0.690694i \(-0.757305\pi\)
0.959732 + 0.280917i \(0.0906384\pi\)
\(212\) 0.151229 + 0.261936i 0.0103864 + 0.0179898i
\(213\) 25.4681 7.24130i 1.74505 0.496166i
\(214\) −5.69085 1.52486i −0.389019 0.104237i
\(215\) 7.03182 + 1.88417i 0.479566 + 0.128499i
\(216\) 3.50272 3.83809i 0.238330 0.261149i
\(217\) −6.88797 11.9303i −0.467586 0.809882i
\(218\) −5.23392 + 9.06541i −0.354486 + 0.613987i
\(219\) 0.407901 1.62056i 0.0275634 0.109507i
\(220\) 3.80812i 0.256744i
\(221\) −0.675391 + 4.71835i −0.0454317 + 0.317391i
\(222\) 15.2326 + 8.48812i 1.02234 + 0.569685i
\(223\) 0.408906 + 1.52606i 0.0273824 + 0.102192i 0.978265 0.207360i \(-0.0664873\pi\)
−0.950882 + 0.309553i \(0.899821\pi\)
\(224\) 1.44250 + 0.832827i 0.0963810 + 0.0556456i
\(225\) −2.64252 1.42024i −0.176168 0.0946828i
\(226\) −8.08240 + 8.08240i −0.537633 + 0.537633i
\(227\) 1.72914 6.45324i 0.114767 0.428317i −0.884502 0.466536i \(-0.845502\pi\)
0.999269 + 0.0382192i \(0.0121685\pi\)
\(228\) 7.13616 + 6.92220i 0.472604 + 0.458434i
\(229\) 16.0756 + 16.0756i 1.06230 + 1.06230i 0.997926 + 0.0643787i \(0.0205066\pi\)
0.0643787 + 0.997926i \(0.479493\pi\)
\(230\) −5.76756 + 3.32990i −0.380302 + 0.219567i
\(231\) 5.63736 + 9.42983i 0.370911 + 0.620437i
\(232\) 1.48163 0.397002i 0.0972738 0.0260644i
\(233\) −20.9127 −1.37004 −0.685018 0.728526i \(-0.740206\pi\)
−0.685018 + 0.728526i \(0.740206\pi\)
\(234\) 8.45369 6.74797i 0.552635 0.441128i
\(235\) −12.9924 −0.847530
\(236\) −3.71613 + 0.995733i −0.241899 + 0.0648167i
\(237\) −7.13029 11.9271i −0.463162 0.774749i
\(238\) −1.90695 + 1.10098i −0.123609 + 0.0713657i
\(239\) 2.33729 + 2.33729i 0.151186 + 0.151186i 0.778648 0.627461i \(-0.215906\pi\)
−0.627461 + 0.778648i \(0.715906\pi\)
\(240\) −1.24324 1.20597i −0.0802508 0.0778447i
\(241\) 2.66309 9.93879i 0.171545 0.640214i −0.825570 0.564300i \(-0.809146\pi\)
0.997114 0.0759136i \(-0.0241873\pi\)
\(242\) 2.47614 2.47614i 0.159173 0.159173i
\(243\) 6.74544 14.0534i 0.432720 0.901528i
\(244\) 3.87708 + 2.23843i 0.248205 + 0.143301i
\(245\) −1.09366 4.08161i −0.0698717 0.260765i
\(246\) −6.78879 3.78295i −0.432837 0.241192i
\(247\) 12.4128 + 16.5600i 0.789810 + 1.05369i
\(248\) 8.27059i 0.525183i
\(249\) 5.26719 20.9262i 0.333794 1.32614i
\(250\) −0.500000 + 0.866025i −0.0316228 + 0.0547723i
\(251\) −11.4780 19.8805i −0.724485 1.25485i −0.959186 0.282777i \(-0.908744\pi\)
0.234700 0.972068i \(-0.424589\pi\)
\(252\) 4.86382 + 1.14583i 0.306392 + 0.0721803i
\(253\) −24.4972 6.56400i −1.54012 0.412675i
\(254\) 3.99758 + 1.07115i 0.250831 + 0.0672098i
\(255\) 2.20243 0.626213i 0.137922 0.0392150i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −2.27804 + 3.94568i −0.142100 + 0.246125i −0.928287 0.371864i \(-0.878719\pi\)
0.786187 + 0.617989i \(0.212052\pi\)
\(258\) 12.2277 + 3.07776i 0.761265 + 0.191613i
\(259\) 16.7694i 1.04200i
\(260\) −2.16253 2.88504i −0.134114 0.178923i
\(261\) 3.91332 2.42106i 0.242228 0.149860i
\(262\) −1.08382 4.04488i −0.0669587 0.249893i
\(263\) −12.3668 7.13996i −0.762568 0.440269i 0.0676492 0.997709i \(-0.478450\pi\)
−0.830217 + 0.557441i \(0.811783\pi\)
\(264\) −0.100373 6.59510i −0.00617751 0.405900i
\(265\) 0.213870 0.213870i 0.0131379 0.0131379i
\(266\) −2.47452 + 9.23502i −0.151722 + 0.566235i
\(267\) −10.8091 + 11.1432i −0.661508 + 0.681955i
\(268\) −0.160234 0.160234i −0.00978785 0.00978785i
\(269\) −15.2218 + 8.78829i −0.928087 + 0.535831i −0.886206 0.463291i \(-0.846668\pi\)
−0.0418811 + 0.999123i \(0.513335\pi\)
\(270\) −4.61388 2.39000i −0.280792 0.145451i
\(271\) −27.7623 + 7.43888i −1.68644 + 0.451879i −0.969467 0.245224i \(-0.921139\pi\)
−0.716971 + 0.697103i \(0.754472\pi\)
\(272\) 1.32197 0.0801564
\(273\) 9.62582 + 3.94276i 0.582581 + 0.238627i
\(274\) 12.0157 0.725897
\(275\) −3.67836 + 0.985615i −0.221814 + 0.0594348i
\(276\) −9.90078 + 5.91891i −0.595957 + 0.356277i
\(277\) 12.2976 7.10003i 0.738892 0.426600i −0.0827742 0.996568i \(-0.526378\pi\)
0.821666 + 0.569969i \(0.193045\pi\)
\(278\) 2.65697 + 2.65697i 0.159354 + 0.159354i
\(279\) 7.14811 + 23.7598i 0.427946 + 1.42246i
\(280\) 0.431103 1.60890i 0.0257633 0.0961501i
\(281\) −4.41645 + 4.41645i −0.263463 + 0.263463i −0.826460 0.562996i \(-0.809649\pi\)
0.562996 + 0.826460i \(0.309649\pi\)
\(282\) −22.5009 + 0.342447i −1.33991 + 0.0203924i
\(283\) 14.6603 + 8.46410i 0.871462 + 0.503139i 0.867834 0.496855i \(-0.165512\pi\)
0.00362808 + 0.999993i \(0.498845\pi\)
\(284\) −3.95652 14.7659i −0.234777 0.876198i
\(285\) 4.83936 8.68459i 0.286659 0.514431i
\(286\) 1.94555 13.5918i 0.115043 0.803702i
\(287\) 7.47372i 0.441160i
\(288\) −2.18489 2.05578i −0.128746 0.121138i
\(289\) 7.62619 13.2090i 0.448600 0.776997i
\(290\) −0.766948 1.32839i −0.0450368 0.0780060i
\(291\) −0.800025 2.81374i −0.0468983 0.164944i
\(292\) −0.931940 0.249713i −0.0545377 0.0146133i
\(293\) −10.8549 2.90856i −0.634149 0.169920i −0.0725974 0.997361i \(-0.523129\pi\)
−0.561552 + 0.827442i \(0.689795\pi\)
\(294\) −2.00164 7.03992i −0.116738 0.410576i
\(295\) 1.92361 + 3.33179i 0.111997 + 0.193984i
\(296\) 5.03388 8.71894i 0.292588 0.506778i
\(297\) −5.98837 18.8597i −0.347481 1.09435i
\(298\) 0.391239i 0.0226638i
\(299\) −22.2866 + 8.93837i −1.28887 + 0.516919i
\(300\) −0.843099 + 1.51301i −0.0486763 + 0.0873534i
\(301\) 3.13838 + 11.7126i 0.180893 + 0.675102i
\(302\) 16.7028 + 9.64337i 0.961139 + 0.554914i
\(303\) 12.4940 0.190150i 0.717762 0.0109238i
\(304\) 4.05877 4.05877i 0.232786 0.232786i
\(305\) 1.15870 4.32432i 0.0663469 0.247610i
\(306\) 3.79778 1.14256i 0.217104 0.0653157i
\(307\) −20.4845 20.4845i −1.16911 1.16911i −0.982418 0.186694i \(-0.940223\pi\)
−0.186694 0.982418i \(-0.559777\pi\)
\(308\) 5.49321 3.17151i 0.313005 0.180713i
\(309\) 20.9915 12.5492i 1.19416 0.713898i
\(310\) 7.98877 2.14059i 0.453732 0.121577i
\(311\) 8.83372 0.500914 0.250457 0.968128i \(-0.419419\pi\)
0.250457 + 0.968128i \(0.419419\pi\)
\(312\) −3.82122 4.93946i −0.216334 0.279642i
\(313\) −20.4565 −1.15627 −0.578135 0.815941i \(-0.696219\pi\)
−0.578135 + 0.815941i \(0.696219\pi\)
\(314\) −15.3752 + 4.11977i −0.867673 + 0.232492i
\(315\) −0.152065 4.99465i −0.00856791 0.281417i
\(316\) −6.94796 + 4.01141i −0.390854 + 0.225659i
\(317\) 14.7971 + 14.7971i 0.831089 + 0.831089i 0.987666 0.156577i \(-0.0500460\pi\)
−0.156577 + 0.987666i \(0.550046\pi\)
\(318\) 0.364754 0.376028i 0.0204544 0.0210866i
\(319\) 1.51183 5.64223i 0.0846463 0.315904i
\(320\) −0.707107 + 0.707107i −0.0395285 + 0.0395285i
\(321\) 0.155288 + 10.2034i 0.00866734 + 0.569497i
\(322\) −9.60676 5.54646i −0.535364 0.309092i
\(323\) 1.96394 + 7.32953i 0.109277 + 0.407826i
\(324\) −8.05355 4.01750i −0.447419 0.223195i
\(325\) −2.22703 + 2.83555i −0.123534 + 0.157288i
\(326\) 13.3460i 0.739168i
\(327\) 17.5824 + 4.42555i 0.972310 + 0.244734i
\(328\) −2.24348 + 3.88582i −0.123875 + 0.214559i
\(329\) −10.8204 18.7415i −0.596549 1.03325i
\(330\) −6.34440 + 1.80389i −0.349248 + 0.0993009i
\(331\) −26.8683 7.19933i −1.47681 0.395711i −0.571551 0.820566i \(-0.693658\pi\)
−0.905261 + 0.424855i \(0.860325\pi\)
\(332\) −12.0340 3.22451i −0.660454 0.176968i
\(333\) 6.92575 29.3985i 0.379529 1.61103i
\(334\) −5.23508 9.06743i −0.286451 0.496148i
\(335\) −0.113303 + 0.196246i −0.00619038 + 0.0107221i
\(336\) 0.704199 2.79773i 0.0384172 0.152629i
\(337\) 5.59425i 0.304738i 0.988324 + 0.152369i \(0.0486903\pi\)
−0.988324 + 0.152369i \(0.951310\pi\)
\(338\) −6.24448 11.4020i −0.339655 0.620189i
\(339\) 17.2940 + 9.63682i 0.939282 + 0.523400i
\(340\) −0.342152 1.27693i −0.0185558 0.0692512i
\(341\) 27.2758 + 15.7477i 1.47707 + 0.852786i
\(342\) 8.15214 15.1680i 0.440817 0.820190i
\(343\) 13.2215 13.2215i 0.713891 0.713891i
\(344\) 1.88417 7.03182i 0.101588 0.379130i
\(345\) 8.27974 + 8.03149i 0.445766 + 0.432401i
\(346\) 6.57400 + 6.57400i 0.353420 + 0.353420i
\(347\) 29.8164 17.2145i 1.60063 0.924122i 0.609264 0.792967i \(-0.291465\pi\)
0.991362 0.131154i \(-0.0418683\pi\)
\(348\) −1.36325 2.28036i −0.0730780 0.122240i
\(349\) −14.0346 + 3.76057i −0.751256 + 0.201298i −0.614075 0.789248i \(-0.710471\pi\)
−0.137181 + 0.990546i \(0.543804\pi\)
\(350\) −1.66565 −0.0890330
\(351\) −15.2467 10.8875i −0.813809 0.581133i
\(352\) −3.80812 −0.202974
\(353\) −9.59155 + 2.57005i −0.510507 + 0.136790i −0.504872 0.863194i \(-0.668460\pi\)
−0.00563473 + 0.999984i \(0.501794\pi\)
\(354\) 3.41922 + 5.71945i 0.181729 + 0.303986i
\(355\) −13.2388 + 7.64342i −0.702642 + 0.405670i
\(356\) 6.33783 + 6.33783i 0.335905 + 0.335905i
\(357\) 2.73756 + 2.65548i 0.144887 + 0.140543i
\(358\) −4.00452 + 14.9451i −0.211645 + 0.789871i
\(359\) 11.6427 11.6427i 0.614477 0.614477i −0.329632 0.944109i \(-0.606925\pi\)
0.944109 + 0.329632i \(0.106925\pi\)
\(360\) −1.42024 + 2.64252i −0.0748533 + 0.139273i
\(361\) 12.0786 + 6.97359i 0.635717 + 0.367031i
\(362\) −5.92642 22.1177i −0.311486 1.16248i
\(363\) −5.29824 2.95236i −0.278085 0.154959i
\(364\) 2.36066 5.52219i 0.123732 0.289441i
\(365\) 0.964815i 0.0505007i
\(366\) 1.89271 7.51962i 0.0989337 0.393057i
\(367\) 2.43188 4.21213i 0.126943 0.219872i −0.795548 0.605891i \(-0.792817\pi\)
0.922491 + 0.386019i \(0.126150\pi\)
\(368\) 3.32990 + 5.76756i 0.173583 + 0.300655i
\(369\) −3.08664 + 13.1022i −0.160684 + 0.682074i
\(370\) −9.72471 2.60573i −0.505564 0.135465i
\(371\) 0.486624 + 0.130390i 0.0252642 + 0.00676954i
\(372\) 13.7789 3.91774i 0.714405 0.203125i
\(373\) 18.2902 + 31.6796i 0.947031 + 1.64031i 0.751632 + 0.659582i \(0.229267\pi\)
0.195399 + 0.980724i \(0.437400\pi\)
\(374\) 2.51712 4.35978i 0.130157 0.225439i
\(375\) 1.67966 + 0.422776i 0.0867373 + 0.0218321i
\(376\) 12.9924i 0.670031i
\(377\) −2.05870 5.13310i −0.106028 0.264368i
\(378\) −0.395001 8.64597i −0.0203167 0.444701i
\(379\) −0.672900 2.51130i −0.0345646 0.128997i 0.946488 0.322740i \(-0.104604\pi\)
−0.981052 + 0.193743i \(0.937937\pi\)
\(380\) −4.97095 2.86998i −0.255005 0.147227i
\(381\) −0.109083 7.16744i −0.00558851 0.367199i
\(382\) 5.45996 5.45996i 0.279356 0.279356i
\(383\) 1.94574 7.26162i 0.0994229 0.371051i −0.898230 0.439526i \(-0.855147\pi\)
0.997653 + 0.0684745i \(0.0218132\pi\)
\(384\) −1.20597 + 1.24324i −0.0615417 + 0.0634439i
\(385\) −4.48519 4.48519i −0.228586 0.228586i
\(386\) 5.53616 3.19630i 0.281783 0.162688i
\(387\) −0.664613 21.8295i −0.0337842 1.10966i
\(388\) −1.63135 + 0.437120i −0.0828195 + 0.0221914i
\(389\) 3.37539 0.171139 0.0855694 0.996332i \(-0.472729\pi\)
0.0855694 + 0.996332i \(0.472729\pi\)
\(390\) −3.78215 + 4.96944i −0.191517 + 0.251637i
\(391\) −8.80409 −0.445242
\(392\) −4.08161 + 1.09366i −0.206153 + 0.0552384i
\(393\) −6.22543 + 3.72170i −0.314032 + 0.187735i
\(394\) −12.7145 + 7.34069i −0.640545 + 0.369819i
\(395\) 5.67299 + 5.67299i 0.285439 + 0.285439i
\(396\) −10.9400 + 3.29129i −0.549756 + 0.165394i
\(397\) 0.728848 2.72010i 0.0365798 0.136518i −0.945221 0.326431i \(-0.894154\pi\)
0.981801 + 0.189913i \(0.0608206\pi\)
\(398\) 2.05923 2.05923i 0.103220 0.103220i
\(399\) 16.5579 0.251999i 0.828930 0.0126157i
\(400\) 0.866025 + 0.500000i 0.0433013 + 0.0250000i
\(401\) 8.32881 + 31.0836i 0.415921 + 1.55224i 0.782984 + 0.622042i \(0.213697\pi\)
−0.367062 + 0.930196i \(0.619636\pi\)
\(402\) −0.191051 + 0.342855i −0.00952873 + 0.0171000i
\(403\) 29.6069 3.55869i 1.47483 0.177271i
\(404\) 7.21425i 0.358923i
\(405\) −1.79620 + 8.81894i −0.0892539 + 0.438217i
\(406\) 1.27747 2.21264i 0.0633998 0.109812i
\(407\) −19.1696 33.2028i −0.950203 1.64580i
\(408\) −0.626213 2.20243i −0.0310022 0.109037i
\(409\) −2.65386 0.711101i −0.131225 0.0351617i 0.192609 0.981276i \(-0.438305\pi\)
−0.323834 + 0.946114i \(0.604972\pi\)
\(410\) 4.33407 + 1.16131i 0.214044 + 0.0573530i
\(411\) −5.69179 20.0184i −0.280755 0.987435i
\(412\) −7.06001 12.2283i −0.347822 0.602445i
\(413\) −3.20407 + 5.54960i −0.157662 + 0.273078i
\(414\) 14.5510 + 13.6911i 0.715141 + 0.672881i
\(415\) 12.4586i 0.611567i
\(416\) −2.88504 + 2.16253i −0.141451 + 0.106027i
\(417\) 3.16796 5.68515i 0.155136 0.278403i
\(418\) −5.65739 21.1137i −0.276712 1.03270i
\(419\) 12.3545 + 7.13285i 0.603555 + 0.348463i 0.770439 0.637514i \(-0.220037\pi\)
−0.166884 + 0.985977i \(0.553371\pi\)
\(420\) −2.88466 + 0.0439025i −0.140757 + 0.00214222i
\(421\) −23.2751 + 23.2751i −1.13436 + 1.13436i −0.144916 + 0.989444i \(0.546291\pi\)
−0.989444 + 0.144916i \(0.953709\pi\)
\(422\) −1.77891 + 6.63900i −0.0865962 + 0.323181i
\(423\) 11.2291 + 37.3246i 0.545976 + 1.81478i
\(424\) −0.213870 0.213870i −0.0103864 0.0103864i
\(425\) −1.14486 + 0.660987i −0.0555340 + 0.0320626i
\(426\) −22.7261 + 13.5862i −1.10108 + 0.658253i
\(427\) 7.20282 1.92999i 0.348569 0.0933988i
\(428\) 5.89160 0.284781
\(429\) −23.5658 + 3.19707i −1.13777 + 0.154356i
\(430\) −7.27987 −0.351067
\(431\) 26.6309 7.13573i 1.28277 0.343716i 0.447858 0.894105i \(-0.352187\pi\)
0.834909 + 0.550389i \(0.185520\pi\)
\(432\) −2.39000 + 4.61388i −0.114989 + 0.221986i
\(433\) 7.32263 4.22772i 0.351903 0.203171i −0.313620 0.949549i \(-0.601542\pi\)
0.665523 + 0.746377i \(0.268208\pi\)
\(434\) 9.74106 + 9.74106i 0.467586 + 0.467586i
\(435\) −1.84983 + 1.90700i −0.0886924 + 0.0914338i
\(436\) 2.70928 10.1112i 0.129751 0.484236i
\(437\) −27.0306 + 27.0306i −1.29305 + 1.29305i
\(438\) 0.0254302 + 1.67092i 0.00121510 + 0.0798394i
\(439\) 10.9300 + 6.31042i 0.521659 + 0.301180i 0.737613 0.675224i \(-0.235953\pi\)
−0.215954 + 0.976404i \(0.569286\pi\)
\(440\) 0.985615 + 3.67836i 0.0469873 + 0.175359i
\(441\) −10.7804 + 6.66955i −0.513355 + 0.317598i
\(442\) −0.568822 4.73238i −0.0270561 0.225096i
\(443\) 28.5436i 1.35615i 0.734994 + 0.678074i \(0.237185\pi\)
−0.734994 + 0.678074i \(0.762815\pi\)
\(444\) −16.9104 4.25641i −0.802533 0.202000i
\(445\) 4.48153 7.76223i 0.212445 0.367965i
\(446\) −0.789946 1.36823i −0.0374050 0.0647874i
\(447\) −0.651810 + 0.185328i −0.0308296 + 0.00876571i
\(448\) −1.60890 0.431103i −0.0760133 0.0203677i
\(449\) 28.8338 + 7.72600i 1.36075 + 0.364612i 0.864092 0.503333i \(-0.167893\pi\)
0.496659 + 0.867946i \(0.334560\pi\)
\(450\) 2.92006 + 0.687914i 0.137653 + 0.0324286i
\(451\) 8.54344 + 14.7977i 0.402295 + 0.696795i
\(452\) 5.71512 9.89888i 0.268817 0.465604i
\(453\) 8.15398 32.3952i 0.383107 1.52206i
\(454\) 6.68089i 0.313550i
\(455\) −5.94501 0.850975i −0.278706 0.0398943i
\(456\) −8.68459 4.83936i −0.406693 0.226624i
\(457\) −8.25749 30.8174i −0.386269 1.44158i −0.836157 0.548491i \(-0.815203\pi\)
0.449887 0.893085i \(-0.351464\pi\)
\(458\) −19.6885 11.3672i −0.919982 0.531152i
\(459\) −3.70251 5.78593i −0.172818 0.270064i
\(460\) 4.70919 4.70919i 0.219567 0.219567i
\(461\) 2.90972 10.8592i 0.135519 0.505764i −0.864476 0.502674i \(-0.832350\pi\)
0.999995 0.00309039i \(-0.000983704\pi\)
\(462\) −7.88589 7.64946i −0.366885 0.355885i
\(463\) 9.47819 + 9.47819i 0.440489 + 0.440489i 0.892176 0.451687i \(-0.149178\pi\)
−0.451687 + 0.892176i \(0.649178\pi\)
\(464\) −1.32839 + 0.766948i −0.0616691 + 0.0356047i
\(465\) −7.35050 12.2954i −0.340871 0.570188i
\(466\) 20.2001 5.41260i 0.935752 0.250734i
\(467\) 13.7987 0.638528 0.319264 0.947666i \(-0.396564\pi\)
0.319264 + 0.947666i \(0.396564\pi\)
\(468\) −6.41914 + 8.70601i −0.296725 + 0.402436i
\(469\) −0.377446 −0.0174288
\(470\) 12.5497 3.36268i 0.578874 0.155109i
\(471\) 14.1468 + 23.6638i 0.651849 + 1.09037i
\(472\) 3.33179 1.92361i 0.153358 0.0885412i
\(473\) −19.6029 19.6029i −0.901341 0.901341i
\(474\) 9.97429 + 9.67524i 0.458134 + 0.444399i
\(475\) −1.48561 + 5.54438i −0.0681646 + 0.254394i
\(476\) 1.55701 1.55701i 0.0713657 0.0713657i
\(477\) −0.799251 0.429563i −0.0365952 0.0196683i
\(478\) −2.86258 1.65271i −0.130931 0.0755932i
\(479\) −8.00989 29.8933i −0.365981 1.36586i −0.866086 0.499895i \(-0.833372\pi\)
0.500105 0.865965i \(-0.333295\pi\)
\(480\) 1.51301 + 0.843099i 0.0690589 + 0.0384820i
\(481\) −33.3779 14.2686i −1.52190 0.650592i
\(482\) 10.2894i 0.468669i
\(483\) −4.68983 + 18.6324i −0.213395 + 0.847802i
\(484\) −1.75090 + 3.03264i −0.0795863 + 0.137847i
\(485\) 0.844451 + 1.46263i 0.0383445 + 0.0664147i
\(486\) −2.87830 + 15.3204i −0.130562 + 0.694949i
\(487\) 27.8851 + 7.47178i 1.26359 + 0.338579i 0.827573 0.561358i \(-0.189721\pi\)
0.436020 + 0.899937i \(0.356388\pi\)
\(488\) −4.32432 1.15870i −0.195753 0.0524518i
\(489\) −22.2347 + 6.32194i −1.00549 + 0.285888i
\(490\) 2.11280 + 3.65947i 0.0954465 + 0.165318i
\(491\) −3.99952 + 6.92737i −0.180496 + 0.312628i −0.942049 0.335474i \(-0.891104\pi\)
0.761554 + 0.648102i \(0.224437\pi\)
\(492\) 7.53657 + 1.89698i 0.339775 + 0.0855225i
\(493\) 2.02777i 0.0913263i
\(494\) −16.2759 12.7831i −0.732289 0.575139i
\(495\) 6.01062 + 9.71538i 0.270157 + 0.436674i
\(496\) −2.14059 7.98877i −0.0961151 0.358707i
\(497\) −22.0512 12.7313i −0.989133 0.571076i
\(498\) 0.328377 + 21.5764i 0.0147149 + 0.966860i
\(499\) 15.4167 15.4167i 0.690144 0.690144i −0.272119 0.962264i \(-0.587725\pi\)
0.962264 + 0.272119i \(0.0877246\pi\)
\(500\) 0.258819 0.965926i 0.0115747 0.0431975i
\(501\) −12.6267 + 13.0169i −0.564118 + 0.581554i
\(502\) 16.2323 + 16.2323i 0.724485 + 0.724485i
\(503\) −21.5869 + 12.4632i −0.962513 + 0.555707i −0.896945 0.442141i \(-0.854219\pi\)
−0.0655671 + 0.997848i \(0.520886\pi\)
\(504\) −4.99465 + 0.152065i −0.222479 + 0.00677352i
\(505\) −6.96843 + 1.86719i −0.310091 + 0.0830887i
\(506\) 25.3613 1.12745
\(507\) −16.0380 + 15.8045i −0.712273 + 0.701902i
\(508\) −4.13860 −0.183621
\(509\) 5.42645 1.45401i 0.240523 0.0644479i −0.136544 0.990634i \(-0.543599\pi\)
0.377067 + 0.926186i \(0.376933\pi\)
\(510\) −1.96531 + 1.17491i −0.0870254 + 0.0520257i
\(511\) −1.39174 + 0.803524i −0.0615672 + 0.0355458i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −29.1317 6.39660i −1.28620 0.282417i
\(514\) 1.17920 4.40083i 0.0520123 0.194112i
\(515\) −9.98436 + 9.98436i −0.439963 + 0.439963i
\(516\) −12.6077 + 0.191880i −0.555021 + 0.00844703i
\(517\) 42.8480 + 24.7383i 1.88445 + 1.08799i
\(518\) −4.34024 16.1980i −0.190699 0.711699i
\(519\) 7.83832 14.0665i 0.344064 0.617449i
\(520\) 2.83555 + 2.22703i 0.124347 + 0.0976619i
\(521\) 12.8570i 0.563275i 0.959521 + 0.281637i \(0.0908775\pi\)
−0.959521 + 0.281637i \(0.909122\pi\)
\(522\) −3.15336 + 3.35140i −0.138019 + 0.146687i
\(523\) 7.21582 12.4982i 0.315526 0.546507i −0.664023 0.747712i \(-0.731152\pi\)
0.979549 + 0.201205i \(0.0644858\pi\)
\(524\) 2.09378 + 3.62654i 0.0914673 + 0.158426i
\(525\) 0.789012 + 2.77501i 0.0344353 + 0.121111i
\(526\) 13.7933 + 3.69591i 0.601418 + 0.161150i
\(527\) 10.5610 + 2.82980i 0.460042 + 0.123268i
\(528\) 1.80389 + 6.34440i 0.0785042 + 0.276104i
\(529\) −10.6765 18.4922i −0.464195 0.804010i
\(530\) −0.151229 + 0.261936i −0.00656896 + 0.0113778i
\(531\) 7.90904 8.40575i 0.343223 0.364779i
\(532\) 9.56080i 0.414513i
\(533\) 14.8757 + 6.35917i 0.644339 + 0.275446i
\(534\) 7.55674 13.5611i 0.327012 0.586848i
\(535\) −1.52486 5.69085i −0.0659254 0.246037i
\(536\) 0.196246 + 0.113303i 0.00847653 + 0.00489393i
\(537\) 26.7956 0.407811i 1.15632 0.0175983i
\(538\) 12.4285 12.4285i 0.535831 0.535831i
\(539\) −4.16481 + 15.5433i −0.179391 + 0.669496i
\(540\) 5.07525 + 1.11440i 0.218404 + 0.0479560i
\(541\) −15.6462 15.6462i −0.672681 0.672681i 0.285652 0.958333i \(-0.407790\pi\)
−0.958333 + 0.285652i \(0.907790\pi\)
\(542\) 24.8910 14.3708i 1.06916 0.617279i
\(543\) −34.0412 + 20.3506i −1.46085 + 0.873327i
\(544\) −1.27693 + 0.342152i −0.0547479 + 0.0146696i
\(545\) −10.4678 −0.448393
\(546\) −10.3183 1.31707i −0.441582 0.0563652i
\(547\) 39.1213 1.67271 0.836354 0.548190i \(-0.184683\pi\)
0.836354 + 0.548190i \(0.184683\pi\)
\(548\) −11.6063 + 3.10990i −0.495797 + 0.132848i
\(549\) −13.4244 + 0.408714i −0.572939 + 0.0174435i
\(550\) 3.29793 1.90406i 0.140624 0.0811894i
\(551\) −6.22573 6.22573i −0.265225 0.265225i
\(552\) 8.03149 8.27974i 0.341843 0.352409i
\(553\) −3.45866 + 12.9079i −0.147077 + 0.548900i
\(554\) −10.0410 + 10.0410i −0.426600 + 0.426600i
\(555\) 0.265361 + 17.4359i 0.0112640 + 0.740111i
\(556\) −3.25411 1.87876i −0.138005 0.0796772i
\(557\) 6.52205 + 24.3406i 0.276348 + 1.03135i 0.954933 + 0.296823i \(0.0959271\pi\)
−0.678584 + 0.734523i \(0.737406\pi\)
\(558\) −13.0540 21.1001i −0.552621 0.893240i
\(559\) −25.9831 3.71926i −1.09897 0.157308i
\(560\) 1.66565i 0.0703867i
\(561\) −8.45581 2.12836i −0.357005 0.0898593i
\(562\) 3.12290 5.40903i 0.131732 0.228166i
\(563\) −3.12854 5.41879i −0.131852 0.228375i 0.792538 0.609822i \(-0.208759\pi\)
−0.924391 + 0.381447i \(0.875426\pi\)
\(564\) 21.6455 6.15443i 0.911442 0.259148i
\(565\) −11.0408 2.95836i −0.464489 0.124459i
\(566\) −16.3514 4.38134i −0.687300 0.184162i
\(567\) −14.2172 + 4.75364i −0.597068 + 0.199634i
\(568\) 7.64342 + 13.2388i 0.320711 + 0.555487i
\(569\) −9.18102 + 15.9020i −0.384889 + 0.666647i −0.991754 0.128158i \(-0.959093\pi\)
0.606865 + 0.794805i \(0.292427\pi\)
\(570\) −2.42672 + 9.64119i −0.101644 + 0.403825i
\(571\) 37.1767i 1.55580i 0.628391 + 0.777898i \(0.283714\pi\)
−0.628391 + 0.777898i \(0.716286\pi\)
\(572\) 1.63857 + 13.6323i 0.0685120 + 0.569993i
\(573\) −11.6827 6.51003i −0.488054 0.271960i
\(574\) 1.93434 + 7.21906i 0.0807378 + 0.301318i
\(575\) −5.76756 3.32990i −0.240524 0.138867i
\(576\) 2.64252 + 1.42024i 0.110105 + 0.0591767i
\(577\) −2.97894 + 2.97894i −0.124015 + 0.124015i −0.766390 0.642375i \(-0.777949\pi\)
0.642375 + 0.766390i \(0.277949\pi\)
\(578\) −3.94761 + 14.7327i −0.164199 + 0.612798i
\(579\) −7.94755 7.70927i −0.330289 0.320386i
\(580\) 1.08463 + 1.08463i 0.0450368 + 0.0450368i
\(581\) −17.9715 + 10.3758i −0.745582 + 0.430462i
\(582\) 1.50101 + 2.51080i 0.0622190 + 0.104076i
\(583\) −1.11255 + 0.298107i −0.0460771 + 0.0123463i
\(584\) 0.964815 0.0399243
\(585\) 10.0708 + 3.94713i 0.416375 + 0.163194i
\(586\) 11.2378 0.464229
\(587\) −6.45368 + 1.72926i −0.266372 + 0.0713741i −0.389533 0.921013i \(-0.627363\pi\)
0.123161 + 0.992387i \(0.460697\pi\)
\(588\) 3.75550 + 6.28197i 0.154874 + 0.259064i
\(589\) 41.1127 23.7364i 1.69402 0.978043i
\(590\) −2.72039 2.72039i −0.111997 0.111997i
\(591\) 18.2525 + 17.7052i 0.750807 + 0.728296i
\(592\) −2.60573 + 9.72471i −0.107095 + 0.399683i
\(593\) 26.8093 26.8093i 1.10092 1.10092i 0.106625 0.994299i \(-0.465996\pi\)
0.994299 0.106625i \(-0.0340045\pi\)
\(594\) 10.6656 + 16.6672i 0.437614 + 0.683862i
\(595\) −1.90695 1.10098i −0.0781772 0.0451356i
\(596\) 0.101260 + 0.377907i 0.00414777 + 0.0154797i
\(597\) −4.40617 2.45527i −0.180332 0.100487i
\(598\) 19.2138 14.4020i 0.785712 0.588942i
\(599\) 25.7236i 1.05104i −0.850781 0.525520i \(-0.823871\pi\)
0.850781 0.525520i \(-0.176129\pi\)
\(600\) 0.422776 1.67966i 0.0172598 0.0685719i
\(601\) 4.01013 6.94574i 0.163577 0.283323i −0.772572 0.634927i \(-0.781030\pi\)
0.936149 + 0.351604i \(0.114364\pi\)
\(602\) −6.06288 10.5012i −0.247104 0.427997i
\(603\) 0.661702 + 0.155885i 0.0269466 + 0.00634812i
\(604\) −18.6296 4.99178i −0.758026 0.203113i
\(605\) 3.38248 + 0.906332i 0.137517 + 0.0368476i
\(606\) −12.0191 + 3.41736i −0.488241 + 0.138821i
\(607\) −5.80367 10.0522i −0.235564 0.408008i 0.723873 0.689933i \(-0.242360\pi\)
−0.959436 + 0.281925i \(0.909027\pi\)
\(608\) −2.86998 + 4.97095i −0.116393 + 0.201599i
\(609\) −4.29144 1.08017i −0.173898 0.0437707i
\(610\) 4.47687i 0.181263i
\(611\) 46.5099 5.59039i 1.88159 0.226163i
\(612\) −3.37265 + 2.08656i −0.136331 + 0.0843443i
\(613\) −9.32778 34.8117i −0.376745 1.40603i −0.850778 0.525525i \(-0.823869\pi\)
0.474033 0.880507i \(-0.342798\pi\)
\(614\) 25.0883 + 14.4847i 1.01248 + 0.584556i
\(615\) −0.118265 7.77074i −0.00476891 0.313346i
\(616\) −4.48519 + 4.48519i −0.180713 + 0.180713i
\(617\) −6.01064 + 22.4320i −0.241979 + 0.903078i 0.732899 + 0.680338i \(0.238167\pi\)
−0.974878 + 0.222740i \(0.928500\pi\)
\(618\) −17.0283 + 17.5546i −0.684977 + 0.706149i
\(619\) −2.30174 2.30174i −0.0925149 0.0925149i 0.659335 0.751850i \(-0.270838\pi\)
−0.751850 + 0.659335i \(0.770838\pi\)
\(620\) −7.16254 + 4.13529i −0.287654 + 0.166077i
\(621\) 15.9169 30.7276i 0.638723 1.23305i
\(622\) −8.53272 + 2.28634i −0.342131 + 0.0916737i
\(623\) 14.9293 0.598132
\(624\) 4.96944 + 3.78215i 0.198937 + 0.151407i
\(625\) −1.00000 −0.0400000
\(626\) 19.7595 5.29453i 0.789747 0.211612i
\(627\) −32.4959 + 19.4268i −1.29776 + 0.775830i
\(628\) 13.7850 7.95879i 0.550082 0.317590i
\(629\) −9.41111 9.41111i −0.375245 0.375245i
\(630\) 1.43959 + 4.78510i 0.0573548 + 0.190643i
\(631\) 9.17574 34.2443i 0.365281 1.36325i −0.501759 0.865007i \(-0.667314\pi\)
0.867040 0.498239i \(-0.166020\pi\)
\(632\) 5.67299 5.67299i 0.225659 0.225659i
\(633\) 11.9033 0.181160i 0.473115 0.00720048i
\(634\) −18.1227 10.4631i −0.719744 0.415544i
\(635\) 1.07115 + 3.99758i 0.0425072 + 0.158639i
\(636\) −0.255002 + 0.457620i −0.0101115 + 0.0181458i
\(637\) 5.67133 + 14.1407i 0.224706 + 0.560275i
\(638\) 5.84127i 0.231258i
\(639\) 33.4001 + 31.4264i 1.32129 + 1.24321i
\(640\) 0.500000 0.866025i 0.0197642 0.0342327i
\(641\) 14.2640 + 24.7060i 0.563394 + 0.975828i 0.997197 + 0.0748198i \(0.0238381\pi\)
−0.433803 + 0.901008i \(0.642829\pi\)
\(642\) −2.79082 9.81551i −0.110145 0.387387i
\(643\) 37.0551 + 9.92889i 1.46131 + 0.391557i 0.899943 0.436009i \(-0.143608\pi\)
0.561369 + 0.827566i \(0.310275\pi\)
\(644\) 10.7149 + 2.87106i 0.422228 + 0.113136i
\(645\) 3.44844 + 12.1284i 0.135782 + 0.477555i
\(646\) −3.79404 6.57147i −0.149275 0.258551i
\(647\) −9.53414 + 16.5136i −0.374826 + 0.649217i −0.990301 0.138939i \(-0.955631\pi\)
0.615475 + 0.788156i \(0.288964\pi\)
\(648\) 8.81894 + 1.79620i 0.346441 + 0.0705614i
\(649\) 14.6507i 0.575089i
\(650\) 1.41726 3.31533i 0.0555894 0.130038i
\(651\) 11.6145 20.8431i 0.455207 0.816904i
\(652\) 3.45420 + 12.8913i 0.135277 + 0.504861i
\(653\) −28.6102 16.5181i −1.11961 0.646404i −0.178305 0.983975i \(-0.557061\pi\)
−0.941300 + 0.337571i \(0.890395\pi\)
\(654\) −18.1287 + 0.275906i −0.708889 + 0.0107888i
\(655\) 2.96106 2.96106i 0.115698 0.115698i
\(656\) 1.16131 4.33407i 0.0453415 0.169217i
\(657\) 2.77173 0.833872i 0.108135 0.0325324i
\(658\) 15.3024 + 15.3024i 0.596549 + 0.596549i
\(659\) −16.8251 + 9.71399i −0.655414 + 0.378403i −0.790527 0.612427i \(-0.790193\pi\)
0.135113 + 0.990830i \(0.456860\pi\)
\(660\) 5.66134 3.38447i 0.220367 0.131740i
\(661\) 23.4203 6.27544i 0.910942 0.244086i 0.227233 0.973840i \(-0.427032\pi\)
0.683710 + 0.729754i \(0.260365\pi\)
\(662\) 27.8161 1.08110
\(663\) −7.61478 + 3.18937i −0.295734 + 0.123865i
\(664\) 12.4586 0.483486
\(665\) −9.23502 + 2.47452i −0.358119 + 0.0959576i
\(666\) 0.919132 + 30.1893i 0.0356157 + 1.16981i
\(667\) 8.84684 5.10773i 0.342551 0.197772i
\(668\) 7.40353 + 7.40353i 0.286451 + 0.286451i
\(669\) −1.90530 + 1.96419i −0.0736630 + 0.0759398i
\(670\) 0.0586497 0.218884i 0.00226584 0.00845622i
\(671\) −12.0551 + 12.0551i −0.465381 + 0.465381i
\(672\) 0.0439025 + 2.88466i 0.00169358 + 0.111278i
\(673\) −9.78648 5.65023i −0.377241 0.217800i 0.299376 0.954135i \(-0.403221\pi\)
−0.676617 + 0.736335i \(0.736555\pi\)
\(674\) −1.44790 5.40363i −0.0557710 0.208140i
\(675\) −0.237145 5.19074i −0.00912770 0.199792i
\(676\) 8.98277 + 9.39734i 0.345491 + 0.361436i
\(677\) 25.6880i 0.987270i −0.869669 0.493635i \(-0.835668\pi\)
0.869669 0.493635i \(-0.164332\pi\)
\(678\) −19.1989 4.83244i −0.737330 0.185589i
\(679\) −1.40656 + 2.43624i −0.0539789 + 0.0934943i
\(680\) 0.660987 + 1.14486i 0.0253477 + 0.0439035i
\(681\) 11.1305 3.16470i 0.426521 0.121272i
\(682\) −30.4222 8.15161i −1.16493 0.312141i
\(683\) 46.1988 + 12.3789i 1.76775 + 0.473667i 0.988264 0.152754i \(-0.0488141\pi\)
0.779485 + 0.626421i \(0.215481\pi\)
\(684\) −3.94860 + 16.7611i −0.150978 + 0.640875i
\(685\) 6.00786 + 10.4059i 0.229549 + 0.397590i
\(686\) −9.34898 + 16.1929i −0.356946 + 0.618248i
\(687\) −9.61153 + 38.1859i −0.366703 + 1.45688i
\(688\) 7.27987i 0.277543i
\(689\) −0.673584 + 0.857633i −0.0256615 + 0.0326732i
\(690\) −10.0763 5.61487i −0.383599 0.213755i
\(691\) −3.41753 12.7544i −0.130009 0.485200i 0.869960 0.493123i \(-0.164145\pi\)
−0.999969 + 0.00792315i \(0.997478\pi\)
\(692\) −8.05147 4.64852i −0.306071 0.176710i
\(693\) −9.00862 + 16.7615i −0.342209 + 0.636718i
\(694\) −24.3450 + 24.3450i −0.924122 + 0.924122i
\(695\) −0.972518 + 3.62949i −0.0368897 + 0.137674i
\(696\) 1.90700 + 1.84983i 0.0722848 + 0.0701175i
\(697\) 4.19430 + 4.19430i 0.158871 + 0.158871i
\(698\) 12.5831 7.26485i 0.476277 0.274979i
\(699\) −18.5862 31.0898i −0.702994 1.17592i
\(700\) 1.60890 0.431103i 0.0608106 0.0162942i
\(701\) −33.1881 −1.25350 −0.626748 0.779222i \(-0.715614\pi\)
−0.626748 + 0.779222i \(0.715614\pi\)
\(702\) 17.5451 + 6.57040i 0.662196 + 0.247984i
\(703\) −57.7886 −2.17954
\(704\) 3.67836 0.985615i 0.138634 0.0371467i
\(705\) −11.5470 19.3151i −0.434885 0.727449i
\(706\) 8.59955 4.96495i 0.323648 0.186858i
\(707\) −8.49692 8.49692i −0.319559 0.319559i
\(708\) −4.78302 4.63961i −0.179757 0.174367i
\(709\) 6.64653 24.8052i 0.249616 0.931578i −0.721392 0.692527i \(-0.756497\pi\)
0.971007 0.239050i \(-0.0768361\pi\)
\(710\) 10.8094 10.8094i 0.405670 0.405670i
\(711\) 11.3943 21.2005i 0.427321 0.795079i
\(712\) −7.76223 4.48153i −0.290902 0.167952i
\(713\) 14.2559 + 53.2037i 0.533887 + 1.99249i
\(714\) −3.33156 1.85646i −0.124681 0.0694764i
\(715\) 12.7437 5.11102i 0.476586 0.191141i
\(716\) 15.4723i 0.578226i
\(717\) −1.39745 + 5.55198i −0.0521889 + 0.207343i
\(718\) −8.23262 + 14.2593i −0.307239 + 0.532153i
\(719\) −3.79520 6.57348i −0.141537 0.245150i 0.786539 0.617541i \(-0.211871\pi\)
−0.928076 + 0.372392i \(0.878538\pi\)
\(720\) 0.687914 2.92006i 0.0256370 0.108824i
\(721\) −22.7177 6.08718i −0.846050 0.226699i
\(722\) −13.4719 3.60980i −0.501374 0.134343i
\(723\) 17.1423 4.87404i 0.637529 0.181267i
\(724\) 11.4490 + 19.8302i 0.425498 + 0.736984i
\(725\) 0.766948 1.32839i 0.0284838 0.0493353i
\(726\) 5.88183 + 1.48048i 0.218295 + 0.0549457i
\(727\) 51.1962i 1.89876i 0.314129 + 0.949380i \(0.398288\pi\)
−0.314129 + 0.949380i \(0.601712\pi\)
\(728\) −0.850975 + 5.94501i −0.0315392 + 0.220337i
\(729\) 26.8875 2.46191i 0.995834 0.0911819i
\(730\) −0.249713 0.931940i −0.00924228 0.0344926i
\(731\) −8.33446 4.81190i −0.308261 0.177975i
\(732\) 0.117999 + 7.75326i 0.00436138 + 0.286569i
\(733\) −19.8432 + 19.8432i −0.732925 + 0.732925i −0.971198 0.238273i \(-0.923419\pi\)
0.238273 + 0.971198i \(0.423419\pi\)
\(734\) −1.25883 + 4.69802i −0.0464643 + 0.173407i
\(735\) 5.09592 5.25343i 0.187966 0.193776i
\(736\) −4.70919 4.70919i −0.173583 0.173583i
\(737\) 0.747328 0.431470i 0.0275282 0.0158934i
\(738\) −0.409635 13.4546i −0.0150789 0.495272i
\(739\) −33.6777 + 9.02391i −1.23885 + 0.331950i −0.818021 0.575189i \(-0.804929\pi\)
−0.420832 + 0.907138i \(0.638262\pi\)
\(740\) 10.0678 0.370098
\(741\) −13.5870 + 33.1713i −0.499132 + 1.21858i
\(742\) −0.503790 −0.0184947
\(743\) −27.9882 + 7.49941i −1.02679 + 0.275127i −0.732627 0.680630i \(-0.761706\pi\)
−0.294159 + 0.955756i \(0.595040\pi\)
\(744\) −12.2954 + 7.35050i −0.450773 + 0.269482i
\(745\) 0.338823 0.195619i 0.0124135 0.00716694i
\(746\) −25.8663 25.8663i −0.947031 0.947031i
\(747\) 35.7910 10.7677i 1.30953 0.393970i
\(748\) −1.30296 + 4.86270i −0.0476408 + 0.177798i
\(749\) 6.93910 6.93910i 0.253549 0.253549i
\(750\) −1.73185 + 0.0263575i −0.0632382 + 0.000962441i
\(751\) 23.9936 + 13.8527i 0.875537 + 0.505492i 0.869184 0.494488i \(-0.164644\pi\)
0.00635294 + 0.999980i \(0.497978\pi\)
\(752\) −3.36268 12.5497i −0.122624 0.457640i
\(753\) 19.3542 34.7326i 0.705306 1.26572i
\(754\) 3.31709 + 4.42536i 0.120801 + 0.161162i
\(755\) 19.2867i 0.701917i
\(756\) 2.61928 + 8.24914i 0.0952625 + 0.300018i
\(757\) 15.6835 27.1647i 0.570027 0.987316i −0.426535 0.904471i \(-0.640266\pi\)
0.996562 0.0828451i \(-0.0264007\pi\)
\(758\) 1.29994 + 2.25157i 0.0472161 + 0.0817806i
\(759\) −12.0136 42.2524i −0.436064 1.53367i
\(760\) 5.54438 + 1.48561i 0.201116 + 0.0538888i
\(761\) −33.5908 9.00062i −1.21766 0.326272i −0.407900 0.913027i \(-0.633739\pi\)
−0.809765 + 0.586755i \(0.800405\pi\)
\(762\) 1.96044 + 6.89498i 0.0710191 + 0.249779i
\(763\) −8.71790 15.0998i −0.315609 0.546651i
\(764\) −3.86078 + 6.68706i −0.139678 + 0.241929i
\(765\) 2.88837 + 2.71769i 0.104429 + 0.0982583i
\(766\) 7.51778i 0.271628i
\(767\) −8.31971 11.0994i −0.300407 0.400776i
\(768\) 0.843099 1.51301i 0.0304227 0.0545959i
\(769\) −3.20108 11.9466i −0.115434 0.430805i 0.883885 0.467704i \(-0.154919\pi\)
−0.999319 + 0.0368988i \(0.988252\pi\)
\(770\) 5.49321 + 3.17151i 0.197962 + 0.114293i
\(771\) −7.89045 + 0.120087i −0.284167 + 0.00432483i
\(772\) −4.52026 + 4.52026i −0.162688 + 0.162688i