Properties

Label 390.2.bh.c.11.6
Level $390$
Weight $2$
Character 390.11
Analytic conductor $3.114$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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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 11.6
Character \(\chi\) \(=\) 390.11
Dual form 390.2.bh.c.71.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.73185 + 0.0263575i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.707107 - 0.707107i) q^{5} +(-1.67966 - 0.422776i) q^{6} +(0.431103 + 1.60890i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.99861 - 0.0912946i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.73185 + 0.0263575i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.707107 - 0.707107i) q^{5} +(-1.67966 - 0.422776i) q^{6} +(0.431103 + 1.60890i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.99861 - 0.0912946i) 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} +(-1.20597 + 1.24324i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.660987 + 1.14486i) q^{17} +(2.92006 + 0.687914i) q^{18} +(5.54438 - 1.48561i) q^{19} +(0.965926 - 0.258819i) q^{20} +(-0.789012 - 2.77501i) q^{21} +(-1.90406 + 3.29793i) q^{22} +(3.32990 + 5.76756i) q^{23} +(-1.24324 - 1.20597i) 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} +(-1.48665 + 0.888751i) q^{30} +(5.84819 + 5.84819i) q^{31} +(0.258819 + 0.965926i) q^{32} +(1.60998 - 6.39635i) q^{33} +(-0.934777 + 0.934777i) q^{34} +(1.44250 + 0.832827i) q^{35} +(2.64252 + 1.42024i) q^{36} +(-9.72471 - 2.60573i) q^{37} +5.73996 q^{38} +(-4.85204 + 3.93163i) q^{39} +1.00000 q^{40} +(-4.33407 - 1.16131i) q^{41} +(-0.0439025 - 2.88466i) q^{42} +(-6.30456 - 3.63994i) q^{43} +(-2.69275 + 2.69275i) q^{44} +(2.05578 - 2.18489i) q^{45} +(1.72368 + 6.43288i) q^{46} +(-9.18700 - 9.18700i) q^{47} +(-0.888751 - 1.48665i) 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} +(-5.07525 - 1.11440i) q^{54} +(1.90406 + 3.29793i) q^{55} +(-0.832827 + 1.44250i) q^{56} +(-9.56288 + 2.71899i) q^{57} +(1.48163 - 0.397002i) q^{58} +(3.71613 - 0.995733i) q^{59} +(-1.66602 + 0.473695i) q^{60} +(2.23843 - 3.87708i) q^{61} +(4.13529 + 7.16254i) q^{62} +(1.43959 + 4.78510i) 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} +(-5.91891 - 9.90078i) q^{69} +(1.17780 + 1.17780i) q^{70} +(-3.95652 - 14.7659i) q^{71} +(2.18489 + 2.05578i) q^{72} +(-0.682227 + 0.682227i) q^{73} +(-8.71894 - 5.03388i) q^{74} +(0.0263575 + 1.73185i) q^{75} +(5.54438 + 1.48561i) q^{76} -6.34302 q^{77} +(-5.70429 + 2.54186i) q^{78} -8.02282 q^{79} +(0.965926 + 0.258819i) q^{80} +(8.98333 - 0.547514i) q^{81} +(-3.88582 - 2.24348i) q^{82} +(8.80953 - 8.80953i) q^{83} +(0.704199 - 2.79773i) q^{84} +(0.342152 + 1.27693i) q^{85} +(-5.14765 - 5.14765i) q^{86} +(-2.28036 + 1.36325i) 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} +(-10.2823 - 9.97404i) q^{93} +(-6.49619 - 11.2517i) q^{94} +(2.86998 - 4.97095i) q^{95} +(-0.473695 - 1.66602i) q^{96} +(-1.63135 + 0.437120i) q^{97} +(4.08161 - 1.09366i) q^{98} +(-2.61966 + 11.1200i) 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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{7}{12}\right)\)

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
\(3\) −1.73185 + 0.0263575i −0.999884 + 0.0152175i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 0.707107 0.707107i 0.316228 0.316228i
\(6\) −1.67966 0.422776i −0.685719 0.172598i
\(7\) 0.431103 + 1.60890i 0.162942 + 0.608106i 0.998294 + 0.0583912i \(0.0185971\pi\)
−0.835352 + 0.549715i \(0.814736\pi\)
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 2.99861 0.0912946i 0.999537 0.0304315i
\(10\) 0.866025 0.500000i 0.273861 0.158114i
\(11\) −0.985615 + 3.67836i −0.297174 + 1.10907i 0.642301 + 0.766452i \(0.277980\pi\)
−0.939475 + 0.342616i \(0.888687\pi\)
\(12\) −1.51301 0.843099i −0.436767 0.243382i
\(13\) 2.83555 2.22703i 0.786439 0.617668i
\(14\) 1.66565i 0.445165i
\(15\) −1.20597 + 1.24324i −0.311379 + 0.321003i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.660987 + 1.14486i −0.160313 + 0.277670i −0.934981 0.354698i \(-0.884584\pi\)
0.774668 + 0.632368i \(0.217917\pi\)
\(18\) 2.92006 + 0.687914i 0.688266 + 0.162143i
\(19\) 5.54438 1.48561i 1.27197 0.340823i 0.441183 0.897417i \(-0.354559\pi\)
0.830785 + 0.556594i \(0.187892\pi\)
\(20\) 0.965926 0.258819i 0.215988 0.0578737i
\(21\) −0.789012 2.77501i −0.172177 0.605556i
\(22\) −1.90406 + 3.29793i −0.405947 + 0.703121i
\(23\) 3.32990 + 5.76756i 0.694333 + 1.20262i 0.970405 + 0.241482i \(0.0776336\pi\)
−0.276073 + 0.961137i \(0.589033\pi\)
\(24\) −1.24324 1.20597i −0.253775 0.246167i
\(25\) 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 \(-0.621179\pi\)
0.618242 + 0.785988i \(0.287845\pi\)
\(30\) −1.48665 + 0.888751i −0.271423 + 0.162263i
\(31\) 5.84819 + 5.84819i 1.05037 + 1.05037i 0.998662 + 0.0517031i \(0.0164650\pi\)
0.0517031 + 0.998662i \(0.483535\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 1.60998 6.39635i 0.280262 1.11346i
\(34\) −0.934777 + 0.934777i −0.160313 + 0.160313i
\(35\) 1.44250 + 0.832827i 0.243827 + 0.140773i
\(36\) 2.64252 + 1.42024i 0.440420 + 0.236707i
\(37\) −9.72471 2.60573i −1.59873 0.428379i −0.654073 0.756432i \(-0.726941\pi\)
−0.944659 + 0.328052i \(0.893608\pi\)
\(38\) 5.73996 0.931145
\(39\) −4.85204 + 3.93163i −0.776948 + 0.629564i
\(40\) 1.00000 0.158114
\(41\) −4.33407 1.16131i −0.676868 0.181366i −0.0960213 0.995379i \(-0.530612\pi\)
−0.580847 + 0.814013i \(0.697278\pi\)
\(42\) −0.0439025 2.88466i −0.00677431 0.445113i
\(43\) −6.30456 3.63994i −0.961436 0.555085i −0.0648212 0.997897i \(-0.520648\pi\)
−0.896615 + 0.442812i \(0.853981\pi\)
\(44\) −2.69275 + 2.69275i −0.405947 + 0.405947i
\(45\) 2.05578 2.18489i 0.306458 0.325705i
\(46\) 1.72368 + 6.43288i 0.254143 + 0.948476i
\(47\) −9.18700 9.18700i −1.34006 1.34006i −0.895992 0.444070i \(-0.853534\pi\)
−0.444070 0.895992i \(-0.646466\pi\)
\(48\) −0.888751 1.48665i −0.128280 0.214579i
\(49\) 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 \(0.993387\pi\)
\(54\) −5.07525 1.11440i −0.690653 0.151650i
\(55\) 1.90406 + 3.29793i 0.256744 + 0.444693i
\(56\) −0.832827 + 1.44250i −0.111291 + 0.192762i
\(57\) −9.56288 + 2.71899i −1.26663 + 0.360140i
\(58\) 1.48163 0.397002i 0.194548 0.0521289i
\(59\) 3.71613 0.995733i 0.483798 0.129633i −0.00867240 0.999962i \(-0.502761\pi\)
0.492471 + 0.870329i \(0.336094\pi\)
\(60\) −1.66602 + 0.473695i −0.215082 + 0.0611538i
\(61\) 2.23843 3.87708i 0.286602 0.496409i −0.686394 0.727229i \(-0.740808\pi\)
0.972996 + 0.230820i \(0.0741409\pi\)
\(62\) 4.13529 + 7.16254i 0.525183 + 0.909643i
\(63\) 1.43959 + 4.78510i 0.181372 + 0.602866i
\(64\) 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 −0.969416 0.245424i \(-0.921073\pi\)
0.962251 + 0.272165i \(0.0877396\pi\)
\(68\) −1.14486 + 0.660987i −0.138835 + 0.0801564i
\(69\) −5.91891 9.90078i −0.712553 1.19191i
\(70\) 1.17780 + 1.17780i 0.140773 + 0.140773i
\(71\) −3.95652 14.7659i −0.469553 1.75240i −0.641335 0.767261i \(-0.721619\pi\)
0.171782 0.985135i \(-0.445047\pi\)
\(72\) 2.18489 + 2.05578i 0.257492 + 0.242276i
\(73\) −0.682227 + 0.682227i −0.0798487 + 0.0798487i −0.745903 0.666054i \(-0.767982\pi\)
0.666054 + 0.745903i \(0.267982\pi\)
\(74\) −8.71894 5.03388i −1.01356 0.585177i
\(75\) 0.0263575 + 1.73185i 0.00304351 + 0.199977i
\(76\) 5.54438 + 1.48561i 0.635984 + 0.170411i
\(77\) −6.34302 −0.722854
\(78\) −5.70429 + 2.54186i −0.645884 + 0.287809i
\(79\) −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
\(81\) 8.98333 0.547514i 0.998148 0.0608349i
\(82\) −3.88582 2.24348i −0.429117 0.247751i
\(83\) 8.80953 8.80953i 0.966972 0.966972i −0.0324997 0.999472i \(-0.510347\pi\)
0.999472 + 0.0324997i \(0.0103468\pi\)
\(84\) 0.704199 2.79773i 0.0768344 0.305258i
\(85\) 0.342152 + 1.27693i 0.0371116 + 0.138502i
\(86\) −5.14765 5.14765i −0.555085 0.555085i
\(87\) −2.28036 + 1.36325i −0.244481 + 0.146156i
\(88\) −3.29793 + 1.90406i −0.351561 + 0.202974i
\(89\) −2.31981 + 8.65764i −0.245899 + 0.917708i 0.727030 + 0.686606i \(0.240900\pi\)
−0.972929 + 0.231103i \(0.925767\pi\)
\(90\) 2.55123 1.57837i 0.268923 0.166375i
\(91\) 4.80548 + 3.60202i 0.503752 + 0.377595i
\(92\) 6.65980i 0.694333i
\(93\) −10.2823 9.97404i −1.06623 1.03426i
\(94\) −6.49619 11.2517i −0.670031 1.16053i
\(95\) 2.86998 4.97095i 0.294454 0.510009i
\(96\) −0.473695 1.66602i −0.0483463 0.170037i
\(97\) −1.63135 + 0.437120i −0.165639 + 0.0443828i −0.340685 0.940177i \(-0.610659\pi\)
0.175046 + 0.984560i \(0.443992\pi\)
\(98\) 4.08161 1.09366i 0.412305 0.110477i
\(99\) −2.61966 + 11.1200i −0.263286 + 1.11760i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) −3.60713 6.24773i −0.358923 0.621672i 0.628859 0.777520i \(-0.283522\pi\)
−0.987781 + 0.155848i \(0.950189\pi\)
\(102\) 1.59425 1.64353i 0.157855 0.162734i
\(103\) 14.1200i 1.39129i 0.718387 + 0.695643i \(0.244881\pi\)
−0.718387 + 0.695643i \(0.755119\pi\)
\(104\) 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 \(-0.758588\pi\)
0.232668 + 0.972556i \(0.425254\pi\)
\(108\) −4.61388 2.39000i −0.443971 0.229977i
\(109\) 7.40188 + 7.40188i 0.708971 + 0.708971i 0.966319 0.257348i \(-0.0828485\pi\)
−0.257348 + 0.966319i \(0.582849\pi\)
\(110\) 0.985615 + 3.67836i 0.0939747 + 0.350718i
\(111\) 16.9104 + 4.25641i 1.60507 + 0.404001i
\(112\) −1.17780 + 1.17780i −0.111291 + 0.111291i
\(113\) −9.89888 5.71512i −0.931208 0.537633i −0.0440148 0.999031i \(-0.514015\pi\)
−0.887194 + 0.461398i \(0.847348\pi\)
\(114\) −9.94076 + 0.151291i −0.931037 + 0.0141697i
\(115\) 6.43288 + 1.72368i 0.599869 + 0.160734i
\(116\) 1.53390 0.142419
\(117\) 8.29938 6.93688i 0.767278 0.641315i
\(118\) 3.84722 0.354165
\(119\) −2.12692 0.569907i −0.194975 0.0522433i
\(120\) −1.73185 + 0.0263575i −0.158096 + 0.00240610i
\(121\) −3.03264 1.75090i −0.275695 0.159173i
\(122\) 3.16562 3.16562i 0.286602 0.286602i
\(123\) 7.53657 + 1.89698i 0.679549 + 0.171045i
\(124\) 2.14059 + 7.98877i 0.192230 + 0.717413i
\(125\) −0.707107 0.707107i −0.0632456 0.0632456i
\(126\) 0.152065 + 4.99465i 0.0135470 + 0.444959i
\(127\) −3.58413 + 2.06930i −0.318040 + 0.183621i −0.650519 0.759490i \(-0.725448\pi\)
0.332478 + 0.943111i \(0.392115\pi\)
\(128\) −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 \(0.941440\pi\)
\(132\) 4.59246 4.73441i 0.399723 0.412078i
\(133\) 4.78040 + 8.27989i 0.414513 + 0.717958i
\(134\) −0.113303 + 0.196246i −0.00978785 + 0.0169531i
\(135\) −3.50272 + 3.83809i −0.301466 + 0.330330i
\(136\) −1.27693 + 0.342152i −0.109496 + 0.0293393i
\(137\) 11.6063 3.10990i 0.991593 0.265697i 0.273674 0.961823i \(-0.411761\pi\)
0.717920 + 0.696126i \(0.245094\pi\)
\(138\) −3.15472 11.0953i −0.268547 0.944499i
\(139\) −1.87876 + 3.25411i −0.159354 + 0.276010i −0.934636 0.355606i \(-0.884275\pi\)
0.775282 + 0.631616i \(0.217608\pi\)
\(140\) 0.832827 + 1.44250i 0.0703867 + 0.121913i
\(141\) 16.1527 + 15.6684i 1.36030 + 1.31951i
\(142\) 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
\(147\) −6.28197 + 3.75550i −0.518128 + 0.309749i
\(148\) −7.11898 7.11898i −0.585177 0.585177i
\(149\) 0.101260 + 0.377907i 0.00829554 + 0.0309594i 0.969950 0.243306i \(-0.0782320\pi\)
−0.961654 + 0.274265i \(0.911565\pi\)
\(150\) −0.422776 + 1.67966i −0.0345195 + 0.137144i
\(151\) −13.6378 + 13.6378i −1.10983 + 1.10983i −0.116655 + 0.993172i \(0.537217\pi\)
−0.993172 + 0.116655i \(0.962783\pi\)
\(152\) 4.97095 + 2.86998i 0.403198 + 0.232786i
\(153\) −1.87752 + 3.49334i −0.151789 + 0.282420i
\(154\) −6.12688 1.64169i −0.493718 0.132291i
\(155\) 8.27059 0.664310
\(156\) −6.16780 + 0.978869i −0.493820 + 0.0783723i
\(157\) 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
\(159\) −0.00797204 0.523812i −0.000632224 0.0415410i
\(160\) 0.866025 + 0.500000i 0.0684653 + 0.0395285i
\(161\) −7.84389 + 7.84389i −0.618185 + 0.618185i
\(162\) 8.81894 + 1.79620i 0.692881 + 0.141123i
\(163\) −3.45420 12.8913i −0.270554 1.00972i −0.958762 0.284209i \(-0.908269\pi\)
0.688208 0.725513i \(-0.258397\pi\)
\(164\) −3.17276 3.17276i −0.247751 0.247751i
\(165\) −3.38447 5.66134i −0.263481 0.440734i
\(166\) 10.7894 6.22928i 0.837422 0.483486i
\(167\) −2.70988 + 10.1134i −0.209697 + 0.782599i 0.778270 + 0.627930i \(0.216098\pi\)
−0.987966 + 0.154669i \(0.950569\pi\)
\(168\) 1.40431 2.52014i 0.108345 0.194433i
\(169\) 3.08064 12.6297i 0.236972 0.971516i
\(170\) 1.32197i 0.101391i
\(171\) 16.4898 4.96094i 1.26101 0.379373i
\(172\) −3.63994 6.30456i −0.277543 0.480718i
\(173\) 4.64852 8.05147i 0.353420 0.612142i −0.633426 0.773803i \(-0.718352\pi\)
0.986846 + 0.161661i \(0.0516852\pi\)
\(174\) −2.55550 + 0.726600i −0.193732 + 0.0550834i
\(175\) 1.60890 0.431103i 0.121621 0.0325883i
\(176\) −3.67836 + 0.985615i −0.277267 + 0.0742935i
\(177\) −6.40953 + 1.82241i −0.481770 + 0.136981i
\(178\) −4.48153 + 7.76223i −0.335905 + 0.581804i
\(179\) −7.73613 13.3994i −0.578226 1.00152i −0.995683 0.0928197i \(-0.970412\pi\)
0.417457 0.908697i \(-0.362921\pi\)
\(180\) 2.87281 0.864281i 0.214126 0.0644197i
\(181\) 22.8979i 1.70199i −0.525173 0.850995i \(-0.676000\pi\)
0.525173 0.850995i \(-0.324000\pi\)
\(182\) 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
\(186\) −7.35050 12.2954i −0.538965 0.901546i
\(187\) −3.55974 3.55974i −0.260314 0.260314i
\(188\) −3.36268 12.5497i −0.245248 0.915280i
\(189\) −2.61928 8.24914i −0.190525 0.600036i
\(190\) 4.05877 4.05877i 0.294454 0.294454i
\(191\) 6.68706 + 3.86078i 0.483859 + 0.279356i 0.722023 0.691869i \(-0.243212\pi\)
−0.238164 + 0.971225i \(0.576546\pi\)
\(192\) −0.0263575 1.73185i −0.00190219 0.124986i
\(193\) −6.17479 1.65453i −0.444471 0.119096i 0.0296403 0.999561i \(-0.490564\pi\)
−0.474111 + 0.880465i \(0.657230\pi\)
\(194\) −1.68890 −0.121256
\(195\) −0.650830 + 6.21099i −0.0466069 + 0.444778i
\(196\) 4.22560 0.301828
\(197\) −14.1811 3.79982i −1.01036 0.270726i −0.284582 0.958652i \(-0.591855\pi\)
−0.725781 + 0.687925i \(0.758522\pi\)
\(198\) −5.40845 + 10.0630i −0.384362 + 0.715149i
\(199\) −2.52204 1.45610i −0.178782 0.103220i 0.407938 0.913010i \(-0.366248\pi\)
−0.586720 + 0.809790i \(0.699581\pi\)
\(200\) 0.707107 0.707107i 0.0500000 0.0500000i
\(201\) 0.0958033 0.380620i 0.00675744 0.0268468i
\(202\) −1.86719 6.96843i −0.131375 0.490297i
\(203\) 1.80662 + 1.80662i 0.126800 + 0.126800i
\(204\) 1.96531 1.17491i 0.137599 0.0822599i
\(205\) −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
\(210\) −2.07081 2.00872i −0.142899 0.138615i
\(211\) 3.43660 + 5.95236i 0.236585 + 0.409777i 0.959732 0.280917i \(-0.0906384\pi\)
−0.723147 + 0.690694i \(0.757305\pi\)
\(212\) −0.151229 + 0.261936i −0.0103864 + 0.0179898i
\(213\) 7.24130 + 25.4681i 0.496166 + 1.74505i
\(214\) −5.69085 + 1.52486i −0.389019 + 0.104237i
\(215\) −7.03182 + 1.88417i −0.479566 + 0.128499i
\(216\) −3.83809 3.50272i −0.261149 0.238330i
\(217\) −6.88797 + 11.9303i −0.467586 + 0.809882i
\(218\) 5.23392 + 9.06541i 0.354486 + 0.613987i
\(219\) 1.16353 1.19950i 0.0786243 0.0810545i
\(220\) 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 −0.950882 0.309553i \(-0.899821\pi\)
0.978265 + 0.207360i \(0.0664873\pi\)
\(224\) −1.44250 + 0.832827i −0.0963810 + 0.0556456i
\(225\) −0.0912946 2.99861i −0.00608631 0.199907i
\(226\) −8.08240 8.08240i −0.537633 0.537633i
\(227\) −1.72914 6.45324i −0.114767 0.428317i 0.884502 0.466536i \(-0.154498\pi\)
−0.999269 + 0.0382192i \(0.987831\pi\)
\(228\) −9.64119 2.42672i −0.638504 0.160714i
\(229\) 16.0756 16.0756i 1.06230 1.06230i 0.0643787 0.997926i \(-0.479493\pi\)
0.997926 0.0643787i \(-0.0205066\pi\)
\(230\) 5.76756 + 3.32990i 0.380302 + 0.219567i
\(231\) 10.9852 0.167186i 0.722770 0.0110000i
\(232\) 1.48163 + 0.397002i 0.0972738 + 0.0260644i
\(233\) 20.9127 1.37004 0.685018 0.728526i \(-0.259794\pi\)
0.685018 + 0.728526i \(0.259794\pi\)
\(234\) 9.81198 4.55247i 0.641429 0.297604i
\(235\) −12.9924 −0.847530
\(236\) 3.71613 + 0.995733i 0.241899 + 0.0648167i
\(237\) 13.8943 0.211462i 0.902533 0.0137359i
\(238\) −1.90695 1.10098i −0.123609 0.0713657i
\(239\) −2.33729 + 2.33729i −0.151186 + 0.151186i −0.778648 0.627461i \(-0.784094\pi\)
0.627461 + 0.778648i \(0.284094\pi\)
\(240\) −1.67966 0.422776i −0.108422 0.0272901i
\(241\) 2.66309 + 9.93879i 0.171545 + 0.640214i 0.997114 + 0.0759136i \(0.0241873\pi\)
−0.825570 + 0.564300i \(0.809146\pi\)
\(242\) −2.47614 2.47614i −0.159173 0.159173i
\(243\) −15.5434 + 1.18499i −0.997107 + 0.0760172i
\(244\) 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
\(249\) −15.0246 + 15.4890i −0.952145 + 0.981575i
\(250\) −0.500000 0.866025i −0.0316228 0.0547723i
\(251\) 11.4780 19.8805i 0.724485 1.25485i −0.234700 0.972068i \(-0.575411\pi\)
0.959186 0.282777i \(-0.0912558\pi\)
\(252\) −1.14583 + 4.86382i −0.0721803 + 0.306392i
\(253\) −24.4972 + 6.56400i −1.54012 + 0.412675i
\(254\) −3.99758 + 1.07115i −0.250831 + 0.0672098i
\(255\) −0.626213 2.20243i −0.0392150 0.137922i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.27804 + 3.94568i 0.142100 + 0.246125i 0.928287 0.371864i \(-0.121281\pi\)
−0.786187 + 0.617989i \(0.787948\pi\)
\(258\) 9.05064 + 8.77928i 0.563468 + 0.546574i
\(259\) 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 \(-0.521550\pi\)
0.830217 + 0.557441i \(0.188217\pi\)
\(264\) 5.66134 3.38447i 0.348431 0.208300i
\(265\) 0.213870 + 0.213870i 0.0131379 + 0.0131379i
\(266\) 2.47452 + 9.23502i 0.151722 + 0.566235i
\(267\) 3.78937 15.0549i 0.231905 0.921344i
\(268\) −0.160234 + 0.160234i −0.00978785 + 0.00978785i
\(269\) 15.2218 + 8.78829i 0.928087 + 0.535831i 0.886206 0.463291i \(-0.153332\pi\)
0.0418811 + 0.999123i \(0.486665\pi\)
\(270\) −4.37674 + 2.80074i −0.266360 + 0.170448i
\(271\) −27.7623 7.43888i −1.68644 0.451879i −0.716971 0.697103i \(-0.754472\pi\)
−0.969467 + 0.245224i \(0.921139\pi\)
\(272\) −1.32197 −0.0801564
\(273\) −8.41732 6.11150i −0.509439 0.369885i
\(274\) 12.0157 0.725897
\(275\) 3.67836 + 0.985615i 0.221814 + 0.0594348i
\(276\) −0.175536 11.5338i −0.0105660 0.694252i
\(277\) 12.2976 + 7.10003i 0.738892 + 0.426600i 0.821666 0.569969i \(-0.193045\pi\)
−0.0827742 + 0.996568i \(0.526378\pi\)
\(278\) −2.65697 + 2.65697i −0.159354 + 0.159354i
\(279\) 18.0703 + 17.0025i 1.08184 + 1.01791i
\(280\) 0.431103 + 1.60890i 0.0257633 + 0.0961501i
\(281\) 4.41645 + 4.41645i 0.263463 + 0.263463i 0.826460 0.562996i \(-0.190351\pi\)
−0.562996 + 0.826460i \(0.690351\pi\)
\(282\) 11.5470 + 19.3151i 0.687614 + 1.15020i
\(283\) 14.6603 8.46410i 0.871462 0.503139i 0.00362808 0.999993i \(-0.498845\pi\)
0.867834 + 0.496855i \(0.165512\pi\)
\(284\) 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
\(288\) 0.864281 + 2.87281i 0.0509283 + 0.169282i
\(289\) 7.62619 + 13.2090i 0.448600 + 0.776997i
\(290\) 0.766948 1.32839i 0.0450368 0.0780060i
\(291\) 2.81374 0.800025i 0.164944 0.0468983i
\(292\) −0.931940 + 0.249713i −0.0545377 + 0.0146133i
\(293\) 10.8549 2.90856i 0.634149 0.169920i 0.0725974 0.997361i \(-0.476871\pi\)
0.561552 + 0.827442i \(0.310205\pi\)
\(294\) −7.03992 + 2.00164i −0.410576 + 0.116738i
\(295\) 1.92361 3.33179i 0.111997 0.193984i
\(296\) −5.03388 8.71894i −0.292588 0.506778i
\(297\) 4.24376 19.3272i 0.246248 1.12148i
\(298\) 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
\(303\) 6.41168 + 10.7251i 0.368341 + 0.616138i
\(304\) 4.05877 + 4.05877i 0.232786 + 0.232786i
\(305\) −1.15870 4.32432i −0.0663469 0.247610i
\(306\) −2.71769 + 2.88837i −0.155360 + 0.165117i
\(307\) −20.4845 + 20.4845i −1.16911 + 1.16911i −0.186694 + 0.982418i \(0.559777\pi\)
−0.982418 + 0.186694i \(0.940223\pi\)
\(308\) −5.49321 3.17151i −0.313005 0.180713i
\(309\) −0.372169 24.4538i −0.0211719 1.39113i
\(310\) 7.98877 + 2.14059i 0.453732 + 0.121577i
\(311\) −8.83372 −0.500914 −0.250457 0.968128i \(-0.580581\pi\)
−0.250457 + 0.968128i \(0.580581\pi\)
\(312\) −6.21099 0.650830i −0.351628 0.0368460i
\(313\) −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
\(315\) 4.40152 + 2.36563i 0.247998 + 0.133288i
\(316\) −6.94796 4.01141i −0.390854 0.225659i
\(317\) −14.7971 + 14.7971i −0.831089 + 0.831089i −0.987666 0.156577i \(-0.949954\pi\)
0.156577 + 0.987666i \(0.449954\pi\)
\(318\) 0.127872 0.508026i 0.00717071 0.0284887i
\(319\) 1.51183 + 5.64223i 0.0846463 + 0.315904i
\(320\) 0.707107 + 0.707107i 0.0395285 + 0.0395285i
\(321\) 8.75874 5.23617i 0.488865 0.292255i
\(322\) −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
\(327\) −13.0140 12.6239i −0.719678 0.698101i
\(328\) −2.24348 3.88582i −0.123875 0.214559i
\(329\) 10.8204 18.7415i 0.596549 1.03325i
\(330\) −1.80389 6.34440i −0.0993009 0.349248i
\(331\) −26.8683 + 7.19933i −1.47681 + 0.395711i −0.905261 0.424855i \(-0.860325\pi\)
−0.571551 + 0.820566i \(0.693658\pi\)
\(332\) 12.0340 3.22451i 0.660454 0.176968i
\(333\) −29.3985 6.92575i −1.61103 0.379529i
\(334\) −5.23508 + 9.06743i −0.286451 + 0.496148i
\(335\) 0.113303 + 0.196246i 0.00619038 + 0.0107221i
\(336\) 2.00872 2.07081i 0.109585 0.112972i
\(337\) 5.59425i 0.304738i −0.988324 0.152369i \(-0.951310\pi\)
0.988324 0.152369i \(-0.0486903\pi\)
\(338\) 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
\(342\) 17.2119 0.524028i 0.930714 0.0283362i
\(343\) 13.2215 + 13.2215i 0.713891 + 0.713891i
\(344\) −1.88417 7.03182i −0.101588 0.379130i
\(345\) −11.1862 2.81561i −0.602245 0.151587i
\(346\) 6.57400 6.57400i 0.353420 0.353420i
\(347\) −29.8164 17.2145i −1.60063 0.924122i −0.991362 0.131154i \(-0.958132\pi\)
−0.609264 0.792967i \(-0.708535\pi\)
\(348\) −2.65648 + 0.0404297i −0.142402 + 0.00216726i
\(349\) −14.0346 3.76057i −0.751256 0.201298i −0.137181 0.990546i \(-0.543804\pi\)
−0.614075 + 0.789248i \(0.710471\pi\)
\(350\) 1.66565 0.0890330
\(351\) −14.1904 + 12.2324i −0.757430 + 0.652916i
\(352\) −3.80812 −0.202974
\(353\) 9.59155 + 2.57005i 0.510507 + 0.136790i 0.504872 0.863194i \(-0.331540\pi\)
0.00563473 + 0.999984i \(0.498206\pi\)
\(354\) −6.66280 + 0.101403i −0.354124 + 0.00538952i
\(355\) −13.2388 7.64342i −0.702642 0.405670i
\(356\) −6.33783 + 6.33783i −0.335905 + 0.335905i
\(357\) 3.69853 + 0.930933i 0.195747 + 0.0492702i
\(358\) −4.00452 14.9451i −0.211645 0.789871i
\(359\) −11.6427 11.6427i −0.614477 0.614477i 0.329632 0.944109i \(-0.393075\pi\)
−0.944109 + 0.329632i \(0.893075\pi\)
\(360\) 2.99861 0.0912946i 0.158041 0.00481165i
\(361\) 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
\(366\) −5.39895 + 5.56582i −0.282207 + 0.290930i
\(367\) 2.43188 + 4.21213i 0.126943 + 0.219872i 0.922491 0.386019i \(-0.126150\pi\)
−0.795548 + 0.605891i \(0.792817\pi\)
\(368\) −3.32990 + 5.76756i −0.173583 + 0.300655i
\(369\) −13.1022 3.08664i −0.682074 0.160684i
\(370\) −9.72471 + 2.60573i −0.505564 + 0.135465i
\(371\) −0.486624 + 0.130390i −0.0252642 + 0.00676954i
\(372\) −3.91774 13.7789i −0.203125 0.714405i
\(373\) 18.2902 31.6796i 0.947031 1.64031i 0.195399 0.980724i \(-0.437400\pi\)
0.751632 0.659582i \(-0.229267\pi\)
\(374\) −2.51712 4.35978i −0.130157 0.225439i
\(375\) 1.24324 + 1.20597i 0.0642007 + 0.0622758i
\(376\) 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 −0.981052 0.193743i \(-0.937937\pi\)
0.946488 + 0.322740i \(0.104604\pi\)
\(380\) 4.97095 2.86998i 0.255005 0.147227i
\(381\) 6.15264 3.67819i 0.315209 0.188439i
\(382\) 5.45996 + 5.45996i 0.279356 + 0.279356i
\(383\) −1.94574 7.26162i −0.0994229 0.371051i 0.898230 0.439526i \(-0.144853\pi\)
−0.997653 + 0.0684745i \(0.978187\pi\)
\(384\) 0.422776 1.67966i 0.0215747 0.0857148i
\(385\) −4.48519 + 4.48519i −0.228586 + 0.228586i
\(386\) −5.53616 3.19630i −0.281783 0.162688i
\(387\) −19.2372 10.3392i −0.977883 0.525570i
\(388\) −1.63135 0.437120i −0.0828195 0.0221914i
\(389\) −3.37539 −0.171139 −0.0855694 0.996332i \(-0.527271\pi\)
−0.0855694 + 0.996332i \(0.527271\pi\)
\(390\) −2.23618 + 5.83091i −0.113233 + 0.295260i
\(391\) −8.80409 −0.445242
\(392\) 4.08161 + 1.09366i 0.206153 + 0.0552384i
\(393\) −0.110374 7.25224i −0.00556763 0.365827i
\(394\) −12.7145 7.34069i −0.640545 0.369819i
\(395\) −5.67299 + 5.67299i −0.285439 + 0.285439i
\(396\) −7.82867 + 8.32034i −0.393406 + 0.418113i
\(397\) 0.728848 + 2.72010i 0.0365798 + 0.136518i 0.981801 0.189913i \(-0.0608206\pi\)
−0.945221 + 0.326431i \(0.894154\pi\)
\(398\) −2.05923 2.05923i −0.103220 0.103220i
\(399\) −8.49717 14.2135i −0.425391 0.711567i
\(400\) 0.866025 0.500000i 0.0433013 0.0250000i
\(401\) −8.32881 + 31.0836i −0.415921 + 1.55224i 0.367062 + 0.930196i \(0.380364\pi\)
−0.782984 + 0.622042i \(0.786303\pi\)
\(402\) 0.191051 0.342855i 0.00952873 0.0171000i
\(403\) 29.6069 + 3.55869i 1.47483 + 0.177271i
\(404\) 7.21425i 0.358923i
\(405\) 5.96502 6.73932i 0.296404 0.334880i
\(406\) 1.27747 + 2.21264i 0.0633998 + 0.109812i
\(407\) 19.1696 33.2028i 0.950203 1.64580i
\(408\) 2.20243 0.626213i 0.109037 0.0310022i
\(409\) −2.65386 + 0.711101i −0.131225 + 0.0351617i −0.323834 0.946114i \(-0.604972\pi\)
0.192609 + 0.981276i \(0.438305\pi\)
\(410\) −4.33407 + 1.16131i −0.214044 + 0.0573530i
\(411\) −20.0184 + 5.69179i −0.987435 + 0.280755i
\(412\) −7.06001 + 12.2283i −0.347822 + 0.602445i
\(413\) 3.20407 + 5.54960i 0.157662 + 0.273078i
\(414\) 5.75594 + 19.1323i 0.282889 + 0.940303i
\(415\) 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 \(-0.779963\pi\)
0.166884 + 0.985977i \(0.446629\pi\)
\(420\) −1.48035 2.47624i −0.0722338 0.120828i
\(421\) −23.2751 23.2751i −1.13436 1.13436i −0.989444 0.144916i \(-0.953709\pi\)
−0.144916 0.989444i \(-0.546291\pi\)
\(422\) 1.77891 + 6.63900i 0.0865962 + 0.323181i
\(423\) −28.3870 26.7095i −1.38022 1.29866i
\(424\) −0.213870 + 0.213870i −0.0103864 + 0.0103864i
\(425\) 1.14486 + 0.660987i 0.0555340 + 0.0320626i
\(426\) 0.402923 + 26.4745i 0.0195217 + 1.28269i
\(427\) 7.20282 + 1.92999i 0.348569 + 0.0933988i
\(428\) −5.89160 −0.284781
\(429\) −9.67972 21.7226i −0.467341 1.04878i
\(430\) −7.27987 −0.351067
\(431\) −26.6309 7.13573i −1.28277 0.343716i −0.447858 0.894105i \(-0.647813\pi\)
−0.834909 + 0.550389i \(0.814480\pi\)
\(432\) −2.80074 4.37674i −0.134751 0.210576i
\(433\) 7.32263 + 4.22772i 0.351903 + 0.203171i 0.665523 0.746377i \(-0.268208\pi\)
−0.313620 + 0.949549i \(0.601542\pi\)
\(434\) −9.74106 + 9.74106i −0.467586 + 0.467586i
\(435\) −0.648495 + 2.57643i −0.0310930 + 0.123530i
\(436\) 2.70928 + 10.1112i 0.129751 + 0.484236i
\(437\) 27.0306 + 27.0306i 1.29305 + 1.29305i
\(438\) 1.43434 0.857481i 0.0685354 0.0409720i
\(439\) 10.9300 6.31042i 0.521659 0.301180i −0.215954 0.976404i \(-0.569286\pi\)
0.737613 + 0.675224i \(0.235953\pi\)
\(440\) −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 \(0.762815\pi\)
\(444\) 12.5166 + 12.1414i 0.594014 + 0.576204i
\(445\) 4.48153 + 7.76223i 0.212445 + 0.367965i
\(446\) 0.789946 1.36823i 0.0374050 0.0647874i
\(447\) −0.185328 0.651810i −0.00876571 0.0308296i
\(448\) −1.60890 + 0.431103i −0.0760133 + 0.0203677i
\(449\) −28.8338 + 7.72600i −1.36075 + 0.364612i −0.864092 0.503333i \(-0.832107\pi\)
−0.496659 + 0.867946i \(0.665440\pi\)
\(450\) 0.687914 2.92006i 0.0324286 0.137653i
\(451\) 8.54344 14.7977i 0.402295 0.696795i
\(452\) −5.71512 9.89888i −0.268817 0.465604i
\(453\) 23.2592 23.9781i 1.09281 1.12659i
\(454\) 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 0.449887 + 0.893085i \(0.351464\pi\)
−0.836157 + 0.548491i \(0.815203\pi\)
\(458\) 19.6885 11.3672i 0.919982 0.531152i
\(459\) 3.15951 6.09943i 0.147473 0.284697i
\(460\) 4.70919 + 4.70919i 0.219567 + 0.219567i
\(461\) −2.90972 10.8592i −0.135519 0.505764i −0.999995 0.00309039i \(-0.999016\pi\)
0.864476 0.502674i \(-0.167650\pi\)
\(462\) 10.6541 + 2.68168i 0.495674 + 0.124763i
\(463\) 9.47819 9.47819i 0.440489 0.440489i −0.451687 0.892176i \(-0.649178\pi\)
0.892176 + 0.451687i \(0.149178\pi\)
\(464\) 1.32839 + 0.766948i 0.0616691 + 0.0356047i
\(465\) −14.3234 + 0.217992i −0.664233 + 0.0101092i
\(466\) 20.2001 + 5.41260i 0.935752 + 0.250734i
\(467\) −13.7987 −0.638528 −0.319264 0.947666i \(-0.603436\pi\)
−0.319264 + 0.947666i \(0.603436\pi\)
\(468\) 10.6559 1.85782i 0.492570 0.0858779i
\(469\) −0.377446 −0.0174288
\(470\) −12.5497 3.36268i −0.578874 0.155109i
\(471\) −27.5669 + 0.419548i −1.27021 + 0.0193318i
\(472\) 3.33179 + 1.92361i 0.153358 + 0.0885412i
\(473\) 19.6029 19.6029i 0.901341 0.901341i
\(474\) 13.4756 + 3.39186i 0.618955 + 0.155793i
\(475\) −1.48561 5.54438i −0.0681646 0.254394i
\(476\) −1.55701 1.55701i −0.0713657 0.0713657i
\(477\) 0.0276128 + 0.906953i 0.00126430 + 0.0415265i
\(478\) −2.86258 + 1.65271i −0.130931 + 0.0755932i
\(479\) 8.00989 29.8933i 0.365981 1.36586i −0.500105 0.865965i \(-0.666705\pi\)
0.866086 0.499895i \(-0.166628\pi\)
\(480\) −1.51301 0.843099i −0.0690589 0.0384820i
\(481\) −33.3779 + 14.2686i −1.52190 + 0.650592i
\(482\) 10.2894i 0.468669i
\(483\) 13.3777 13.7912i 0.608706 0.627520i
\(484\) −1.75090 3.03264i −0.0795863 0.137847i
\(485\) −0.844451 + 1.46263i −0.0383445 + 0.0664147i
\(486\) −15.3204 2.87830i −0.694949 0.130562i
\(487\) 27.8851 7.47178i 1.26359 0.338579i 0.436020 0.899937i \(-0.356388\pi\)
0.827573 + 0.561358i \(0.189721\pi\)
\(488\) 4.32432 1.15870i 0.195753 0.0524518i
\(489\) 6.32194 + 22.2347i 0.285888 + 1.00549i
\(490\) 2.11280 3.65947i 0.0954465 0.165318i
\(491\) 3.99952 + 6.92737i 0.180496 + 0.312628i 0.942049 0.335474i \(-0.108896\pi\)
−0.761554 + 0.648102i \(0.775563\pi\)
\(492\) 5.57837 + 5.41112i 0.251492 + 0.243952i
\(493\) 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
\(498\) −18.5215 + 11.0726i −0.829968 + 0.496174i
\(499\) 15.4167 + 15.4167i 0.690144 + 0.690144i 0.962264 0.272119i \(-0.0877246\pi\)
−0.272119 + 0.962264i \(0.587725\pi\)
\(500\) −0.258819 0.965926i −0.0115747 0.0431975i
\(501\) 4.42654 17.5863i 0.197763 0.785699i
\(502\) 16.2323 16.2323i 0.724485 0.724485i
\(503\) 21.5869 + 12.4632i 0.962513 + 0.555707i 0.896945 0.442141i \(-0.145781\pi\)
0.0655671 + 0.997848i \(0.479114\pi\)
\(504\) −2.36563 + 4.40152i −0.105374 + 0.196059i
\(505\) −6.96843 1.86719i −0.310091 0.0830887i
\(506\) −25.3613 −1.12745
\(507\) −5.00231 + 21.9540i −0.222160 + 0.975010i
\(508\) −4.13860 −0.183621
\(509\) −5.42645 1.45401i −0.240523 0.0644479i 0.136544 0.990634i \(-0.456401\pi\)
−0.377067 + 0.926186i \(0.623067\pi\)
\(510\) −0.0348440 2.28946i −0.00154292 0.101379i
\(511\) −1.39174 0.803524i −0.0615672 0.0355458i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −28.4271 + 9.02624i −1.25509 + 0.398518i
\(514\) 1.17920 + 4.40083i 0.0520123 + 0.194112i
\(515\) 9.98436 + 9.98436i 0.439963 + 0.439963i
\(516\) 6.47000 + 10.8226i 0.284826 + 0.476439i
\(517\) 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 \(0.909122\pi\)
\(522\) 4.40659 1.32572i 0.192871 0.0580251i
\(523\) 7.21582 + 12.4982i 0.315526 + 0.546507i 0.979549 0.201205i \(-0.0644858\pi\)
−0.664023 + 0.747712i \(0.731152\pi\)
\(524\) −2.09378 + 3.62654i −0.0914673 + 0.158426i
\(525\) −2.77501 + 0.789012i −0.121111 + 0.0344353i
\(526\) 13.7933 3.69591i 0.601418 0.161150i
\(527\) −10.5610 + 2.82980i −0.460042 + 0.123268i
\(528\) 6.34440 1.80389i 0.276104 0.0785042i
\(529\) −10.6765 + 18.4922i −0.464195 + 0.804010i
\(530\) 0.151229 + 0.261936i 0.00656896 + 0.0113778i
\(531\) 11.0523 3.32508i 0.479629 0.144296i
\(532\) 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
\(537\) 13.7510 + 23.0018i 0.593399 + 0.992601i
\(538\) 12.4285 + 12.4285i 0.535831 + 0.535831i
\(539\) 4.16481 + 15.5433i 0.179391 + 0.669496i
\(540\) −4.95249 + 1.57253i −0.213121 + 0.0676707i
\(541\) −15.6462 + 15.6462i −0.672681 + 0.672681i −0.958333 0.285652i \(-0.907790\pi\)
0.285652 + 0.958333i \(0.407790\pi\)
\(542\) −24.8910 14.3708i −1.06916 0.617279i
\(543\) 0.603533 + 39.6558i 0.0259001 + 1.70179i
\(544\) −1.27693 0.342152i −0.0547479 0.0146696i
\(545\) 10.4678 0.448393
\(546\) −6.54873 8.08182i −0.280260 0.345870i
\(547\) 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
\(549\) 6.35823 11.8302i 0.271363 0.504901i
\(550\) 3.29793 + 1.90406i 0.140624 + 0.0811894i
\(551\) 6.22573 6.22573i 0.265225 0.265225i
\(552\) 2.81561 11.1862i 0.119840 0.476117i
\(553\) −3.45866 12.9079i −0.147077 0.548900i
\(554\) 10.0410 + 10.0410i 0.426600 + 0.426600i
\(555\) 14.9672 8.94774i 0.635323 0.379810i
\(556\) −3.25411 + 1.87876i −0.138005 + 0.0796772i
\(557\) −6.52205 + 24.3406i −0.276348 + 1.03135i 0.678584 + 0.734523i \(0.262594\pi\)
−0.954933 + 0.296823i \(0.904073\pi\)
\(558\) 13.0540 + 21.1001i 0.552621 + 0.893240i
\(559\) −25.9831 + 3.71926i −1.09897 + 0.157308i
\(560\) 1.66565i 0.0703867i
\(561\) 6.25877 + 6.07112i 0.264245 + 0.256323i
\(562\) 3.12290 + 5.40903i 0.131732 + 0.228166i
\(563\) 3.12854 5.41879i 0.131852 0.228375i −0.792538 0.609822i \(-0.791241\pi\)
0.924391 + 0.381447i \(0.124574\pi\)
\(564\) 6.15443 + 21.6455i 0.259148 + 0.911442i
\(565\) −11.0408 + 2.95836i −0.464489 + 0.124459i
\(566\) 16.3514 4.38134i 0.687300 0.184162i
\(567\) 4.75364 + 14.2172i 0.199634 + 0.597068i
\(568\) 7.64342 13.2388i 0.320711 0.555487i
\(569\) 9.18102 + 15.9020i 0.384889 + 0.666647i 0.991754 0.128158i \(-0.0409065\pi\)
−0.606865 + 0.794805i \(0.707573\pi\)
\(570\) −6.92220 + 7.13616i −0.289939 + 0.298901i
\(571\) 37.1767i 1.55580i −0.628391 0.777898i \(-0.716286\pi\)
0.628391 0.777898i \(-0.283714\pi\)
\(572\) −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
\(576\) 0.0912946 + 2.99861i 0.00380394 + 0.124942i
\(577\) −2.97894 2.97894i −0.124015 0.124015i 0.642375 0.766390i \(-0.277949\pi\)
−0.766390 + 0.642375i \(0.777949\pi\)
\(578\) 3.94761 + 14.7327i 0.164199 + 0.612798i
\(579\) 10.7374 + 2.70264i 0.446232 + 0.112318i
\(580\) 1.08463 1.08463i 0.0450368 0.0450368i
\(581\) 17.9715 + 10.3758i 0.745582 + 0.430462i
\(582\) 2.92493 0.0445153i 0.121242 0.00184522i
\(583\) −1.11255 0.298107i −0.0460771 0.0123463i
\(584\) −0.964815 −0.0399243
\(585\) 0.963434 10.7737i 0.0398331 0.445436i
\(586\) 11.2378 0.464229
\(587\) 6.45368 + 1.72926i 0.266372 + 0.0713741i 0.389533 0.921013i \(-0.372637\pi\)
−0.123161 + 0.992387i \(0.539303\pi\)
\(588\) −7.31810 + 0.111376i −0.301793 + 0.00459308i
\(589\) 41.1127 + 23.7364i 1.69402 + 0.978043i
\(590\) 2.72039 2.72039i 0.111997 0.111997i
\(591\) 24.6597 + 6.20694i 1.01437 + 0.255320i
\(592\) −2.60573 9.72471i −0.107095 0.399683i
\(593\) −26.8093 26.8093i −1.10092 1.10092i −0.994299 0.106625i \(-0.965996\pi\)
−0.106625 0.994299i \(-0.534004\pi\)
\(594\) 9.10140 17.5702i 0.373435 0.720915i
\(595\) −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 \(-0.176129\pi\)
\(600\) −1.20597 + 1.24324i −0.0492333 + 0.0507551i
\(601\) 4.01013 + 6.94574i 0.163577 + 0.283323i 0.936149 0.351604i \(-0.114364\pi\)
−0.772572 + 0.634927i \(0.781030\pi\)
\(602\) 6.06288 10.5012i 0.247104 0.427997i
\(603\) −0.155885 + 0.661702i −0.00634812 + 0.0269466i
\(604\) −18.6296 + 4.99178i −0.758026 + 0.203113i
\(605\) −3.38248 + 0.906332i −0.137517 + 0.0368476i
\(606\) 3.41736 + 12.0191i 0.138821 + 0.488241i
\(607\) −5.80367 + 10.0522i −0.235564 + 0.408008i −0.959436 0.281925i \(-0.909027\pi\)
0.723873 + 0.689933i \(0.242360\pi\)
\(608\) 2.86998 + 4.97095i 0.116393 + 0.201599i
\(609\) −3.17641 3.08117i −0.128715 0.124855i
\(610\) 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 0.474033 + 0.880507i \(0.342798\pi\)
−0.850778 + 0.525525i \(0.823869\pi\)
\(614\) −25.0883 + 14.4847i −1.01248 + 0.584556i
\(615\) 6.67053 3.98779i 0.268982 0.160803i
\(616\) −4.48519 4.48519i −0.180713 0.180713i
\(617\) 6.01064 + 22.4320i 0.241979 + 0.903078i 0.974878 + 0.222740i \(0.0715003\pi\)
−0.732899 + 0.680338i \(0.761833\pi\)
\(618\) 5.96961 23.7168i 0.240133 0.954031i
\(619\) −2.30174 + 2.30174i −0.0925149 + 0.0925149i −0.751850 0.659335i \(-0.770838\pi\)
0.659335 + 0.751850i \(0.270838\pi\)
\(620\) 7.16254 + 4.13529i 0.287654 + 0.166077i
\(621\) −18.6524 29.1482i −0.748495 1.16968i
\(622\) −8.53272 2.28634i −0.342131 0.0916737i
\(623\) −14.9293 −0.598132
\(624\) −5.83091 2.23618i −0.233423 0.0895187i
\(625\) −1.00000 −0.0400000
\(626\) −19.7595 5.29453i −0.789747 0.211612i
\(627\) −0.576136 37.8556i −0.0230087 1.51181i
\(628\) 13.7850 + 7.95879i 0.550082 + 0.317590i
\(629\) 9.41111 9.41111i 0.375245 0.375245i
\(630\) 3.63928 + 3.42422i 0.144992 + 0.136424i
\(631\) 9.17574 + 34.2443i 0.365281 + 1.36325i 0.867040 + 0.498239i \(0.166020\pi\)
−0.501759 + 0.865007i \(0.667314\pi\)
\(632\) −5.67299 5.67299i −0.225659 0.225659i
\(633\) −6.10856 10.2180i −0.242794 0.406130i
\(634\) −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
\(639\) −13.2121 43.9161i −0.522664 1.73729i
\(640\) 0.500000 + 0.866025i 0.0197642 + 0.0342327i
\(641\) −14.2640 + 24.7060i −0.563394 + 0.975828i 0.433803 + 0.901008i \(0.357171\pi\)
−0.997197 + 0.0748198i \(0.976162\pi\)
\(642\) 9.81551 2.79082i 0.387387 0.110145i
\(643\) 37.0551 9.92889i 1.46131 0.391557i 0.561369 0.827566i \(-0.310275\pi\)
0.899943 + 0.436009i \(0.143608\pi\)
\(644\) −10.7149 + 2.87106i −0.422228 + 0.113136i
\(645\) 12.1284 3.44844i 0.477555 0.135782i
\(646\) −3.79404 + 6.57147i −0.149275 + 0.258551i
\(647\) 9.53414 + 16.5136i 0.374826 + 0.649217i 0.990301 0.138939i \(-0.0443692\pi\)
−0.615475 + 0.788156i \(0.711036\pi\)
\(648\) 6.73932 + 5.96502i 0.264746 + 0.234328i
\(649\) 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 \(-0.442939\pi\)
0.941300 + 0.337571i \(0.109605\pi\)
\(654\) −9.30331 15.5620i −0.363788 0.608522i
\(655\) 2.96106 + 2.96106i 0.115698 + 0.115698i
\(656\) −1.16131 4.33407i −0.0453415 0.169217i
\(657\) −1.98345 + 2.10802i −0.0773818 + 0.0822416i
\(658\) 15.3024 15.3024i 0.596549 0.596549i
\(659\) 16.8251 + 9.71399i 0.655414 + 0.378403i 0.790527 0.612427i \(-0.209807\pi\)
−0.135113 + 0.990830i \(0.543140\pi\)
\(660\) −0.100373 6.59510i −0.00390700 0.256714i
\(661\) 23.4203 + 6.27544i 0.910942 + 0.244086i 0.683710 0.729754i \(-0.260365\pi\)
0.227233 + 0.973840i \(0.427032\pi\)
\(662\) −27.8161 −1.08110
\(663\) −1.29404 8.15368i −0.0502563 0.316663i
\(664\) 12.4586 0.483486
\(665\) 9.23502 + 2.47452i 0.358119 + 0.0959576i
\(666\) −26.6043 14.2987i −1.03089 0.554062i
\(667\) 8.84684 + 5.10773i 0.342551 + 0.197772i
\(668\) −7.40353 + 7.40353i −0.286451 + 0.286451i
\(669\) −0.667941 + 2.65368i −0.0258241 + 0.102597i
\(670\) 0.0586497 + 0.218884i 0.00226584 + 0.00845622i
\(671\) 12.0551 + 12.0551i 0.465381 + 0.465381i
\(672\) 2.47624 1.48035i 0.0955231 0.0571058i
\(673\) −9.78648 + 5.65023i −0.377241 + 0.217800i −0.676617 0.736335i \(-0.736555\pi\)
0.299376 + 0.954135i \(0.403221\pi\)
\(674\) 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 \(-0.164332\pi\)
\(678\) 14.2105 + 13.7845i 0.545753 + 0.529390i
\(679\) −1.40656 2.43624i −0.0539789 0.0934943i
\(680\) −0.660987 + 1.14486i −0.0253477 + 0.0439035i
\(681\) 3.16470 + 11.1305i 0.121272 + 0.426521i
\(682\) −30.4222 + 8.15161i −1.16493 + 0.312141i
\(683\) −46.1988 + 12.3789i −1.76775 + 0.473667i −0.988264 0.152754i \(-0.951186\pi\)
−0.779485 + 0.626421i \(0.784519\pi\)
\(684\) 16.7611 + 3.94860i 0.640875 + 0.150978i
\(685\) 6.00786 10.4059i 0.229549 0.397590i
\(686\) 9.34898 + 16.1929i 0.356946 + 0.618248i
\(687\) −27.4168 + 28.2642i −1.04602 + 1.07835i
\(688\) 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 −0.999969 0.00792315i \(-0.997478\pi\)
0.869960 + 0.493123i \(0.164145\pi\)
\(692\) 8.05147 4.64852i 0.306071 0.176710i
\(693\) −19.0202 + 0.579083i −0.722519 + 0.0219975i
\(694\) −24.3450 24.3450i −0.924122 0.924122i
\(695\) 0.972518 + 3.62949i 0.0368897 + 0.137674i
\(696\) −2.57643 0.648495i −0.0976592 0.0245812i
\(697\) 4.19430 4.19430i 0.158871 0.158871i
\(698\) −12.5831 7.26485i −0.476277 0.274979i
\(699\) −36.2177 + 0.551207i −1.36988 + 0.0208486i
\(700\) 1.60890 + 0.431103i 0.0608106 + 0.0162942i
\(701\) 33.1881 1.25350 0.626748 0.779222i \(-0.284386\pi\)
0.626748 + 0.779222i \(0.284386\pi\)
\(702\) −16.8729 + 8.14282i −0.636826 + 0.307331i
\(703\) −57.7886 −2.17954
\(704\) −3.67836 0.985615i −0.138634 0.0371467i
\(705\) 22.5009 0.342447i 0.847432 0.0128973i
\(706\) 8.59955 + 4.96495i 0.323648 + 0.186858i
\(707\) 8.49692 8.49692i 0.319559 0.319559i
\(708\) −6.46202 1.62651i −0.242857 0.0611281i
\(709\) 6.64653 + 24.8052i 0.249616 + 0.931578i 0.971007 + 0.239050i \(0.0768361\pi\)
−0.721392 + 0.692527i \(0.756497\pi\)
\(710\) −10.8094 10.8094i −0.405670 0.405670i
\(711\) −24.0573 + 0.732440i −0.902219 + 0.0274686i
\(712\) −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
\(717\) 3.98622 4.10943i 0.148868 0.153470i
\(718\) −8.23262 14.2593i −0.307239 0.532153i
\(719\) 3.79520 6.57348i 0.141537 0.245150i −0.786539 0.617541i \(-0.788129\pi\)
0.928076 + 0.372392i \(0.121462\pi\)
\(720\) 2.92006 + 0.687914i 0.108824 + 0.0256370i
\(721\) −22.7177 + 6.08718i −0.846050 + 0.226699i
\(722\) 13.4719 3.60980i 0.501374 0.134343i
\(723\) −4.87404 17.1423i −0.181267 0.637529i
\(724\) 11.4490 19.8302i 0.425498 0.736984i
\(725\) −0.766948 1.32839i −0.0284838 0.0493353i
\(726\) 4.35358 + 4.22305i 0.161576 + 0.156732i
\(727\) 51.1962i 1.89876i −0.314129 0.949380i \(-0.601712\pi\)
0.314129 0.949380i \(-0.398288\pi\)
\(728\) 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
\(732\) −6.65552 + 3.97882i −0.245995 + 0.147061i
\(733\) −19.8432 19.8432i −0.732925 0.732925i 0.238273 0.971198i \(-0.423419\pi\)
−0.971198 + 0.238273i \(0.923419\pi\)
\(734\) 1.25883 + 4.69802i 0.0464643 + 0.173407i
\(735\) −1.78648 + 7.09757i −0.0658954 + 0.261798i
\(736\) −4.70919 + 4.70919i −0.173583 + 0.173583i
\(737\) −0.747328 0.431470i −0.0275282 0.0158934i
\(738\) −11.8569 6.37257i −0.436458 0.234577i
\(739\) −33.6777 9.02391i −1.23885 0.331950i −0.420832 0.907138i \(-0.638262\pi\)
−0.818021 + 0.575189i \(0.804929\pi\)
\(740\) −10.0678 −0.370098
\(741\) −21.0607 + 29.0067i −0.773684 + 1.06559i
\(742\) −0.503790 −0.0184947
\(743\) 27.9882 + 7.49941i 1.02679 + 0.275127i 0.732627 0.680630i \(-0.238294\pi\)
0.294159 + 0.955756i \(0.404960\pi\)
\(744\) −0.217992 14.3234i −0.00799199 0.525122i
\(745\) 0.338823 + 0.195619i 0.0124135 + 0.00716694i
\(746\) 25.8663 25.8663i 0.947031 0.947031i
\(747\) 25.6121 27.2206i 0.937098 0.995951i
\(748\) −1.30296 4.86270i −0.0476408 0.177798i
\(749\) −6.93910 6.93910i −0.253549 0.253549i
\(750\) 0.888751 + 1.48665i 0.0324526 + 0.0542847i
\(751\) 23.9936 13.8527i 0.875537 0.505492i 0.00635294 0.999980i \(-0.497978\pi\)
0.869184 + 0.494488i \(0.164644\pi\)
\(752\) 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
\(756\) 1.85620 8.45360i 0.0675094 0.307455i
\(757\) 15.6835 + 27.1647i 0.570027 + 0.987316i 0.996562 + 0.0828451i \(0.0264007\pi\)
−0.426535 + 0.904471i \(0.640266\pi\)
\(758\) −1.29994 + 2.25157i −0.0472161 + 0.0817806i
\(759\) 42.2524 12.0136i 1.53367 0.436064i
\(760\) 5.54438 1.48561i 0.201116 0.0538888i
\(761\) 33.5908 9.00062i 1.21766 0.326272i 0.407900 0.913027i \(-0.366261\pi\)
0.809765 + 0.586755i \(0.199595\pi\)
\(762\) 6.89498 1.96044i 0.249779 0.0710191i
\(763\) −8.71790 + 15.0998i −0.315609 + 0.546651i
\(764\) 3.86078 + 6.68706i 0.139678 + 0.241929i
\(765\) 1.14256 + 3.79778i 0.0413093 + 0.137309i
\(766\) 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 −0.999319 0.0368988i \(-0.988252\pi\)
0.883885 + 0.467704i \(0.154919\pi\)
\(770\) −5.49321 + 3.17151i −0.197962 + 0.114293i
\(771\) −4.04922 6.77328i −0.145829 0.243934i
\(772\) −4.52026 4.52026i −0.162688 0.162688i
\(773\) −9.35460 34.9119