Properties

Label 370.2.q.f.103.7
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.7
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.f.97.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.304778 + 1.13745i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.21062 + 0.336359i) q^{5} +(-0.832670 + 0.832670i) q^{6} +(0.993767 + 3.70879i) q^{7} -1.00000 q^{8} +(1.39718 - 0.806661i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.304778 + 1.13745i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.21062 + 0.336359i) q^{5} +(-0.832670 + 0.832670i) q^{6} +(0.993767 + 3.70879i) q^{7} -1.00000 q^{8} +(1.39718 - 0.806661i) q^{9} +(0.814017 + 2.08264i) q^{10} -5.46031i q^{11} +(-1.13745 - 0.304778i) q^{12} +(0.988857 - 1.71275i) q^{13} +(-2.71502 + 2.71502i) q^{14} +(0.291159 + 2.61699i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-6.08991 + 3.51601i) q^{17} +(1.39718 + 0.806661i) q^{18} +(-1.64236 + 0.440070i) q^{19} +(-1.39661 + 1.74628i) q^{20} +(-3.91568 + 2.26072i) q^{21} +(4.72877 - 2.73016i) q^{22} -6.08345 q^{23} +(-0.304778 - 1.13745i) q^{24} +(4.77372 + 1.48713i) q^{25} +1.97771 q^{26} +(3.84137 + 3.84137i) q^{27} +(-3.70879 - 0.993767i) q^{28} +(4.74864 - 4.74864i) q^{29} +(-2.12080 + 1.56064i) q^{30} +(-0.415519 - 0.415519i) q^{31} +(0.500000 - 0.866025i) q^{32} +(6.21082 - 1.66418i) q^{33} +(-6.08991 - 3.51601i) q^{34} +(0.949360 + 8.53300i) q^{35} +1.61332i q^{36} +(4.05923 - 4.53019i) q^{37} +(-1.20229 - 1.20229i) q^{38} +(2.24955 + 0.602764i) q^{39} +(-2.21062 - 0.336359i) q^{40} +(-0.895698 - 0.517131i) q^{41} +(-3.91568 - 2.26072i) q^{42} -8.46619 q^{43} +(4.72877 + 2.73016i) q^{44} +(3.35996 - 1.31327i) q^{45} +(-3.04172 - 5.26842i) q^{46} +(-4.67697 + 4.67697i) q^{47} +(0.832670 - 0.832670i) q^{48} +(-6.70537 + 3.87135i) q^{49} +(1.09897 + 4.87773i) q^{50} +(-5.85535 - 5.85535i) q^{51} +(0.988857 + 1.71275i) q^{52} +(2.67928 - 9.99922i) q^{53} +(-1.40604 + 5.24741i) q^{54} +(1.83663 - 12.0707i) q^{55} +(-0.993767 - 3.70879i) q^{56} +(-1.00111 - 1.73398i) q^{57} +(6.48676 + 1.73812i) q^{58} +(-0.818273 + 3.05384i) q^{59} +(-2.41196 - 1.05634i) q^{60} +(2.58577 - 0.692854i) q^{61} +(0.152090 - 0.567609i) q^{62} +(4.38021 + 4.38021i) q^{63} +1.00000 q^{64} +(2.76209 - 3.45364i) q^{65} +(4.54664 + 4.54664i) q^{66} +(9.46427 - 2.53594i) q^{67} -7.03202i q^{68} +(-1.85410 - 6.91961i) q^{69} +(-6.91512 + 5.08867i) q^{70} +(2.59131 - 4.48828i) q^{71} +(-1.39718 + 0.806661i) q^{72} +(-2.88594 + 2.88594i) q^{73} +(5.95288 + 1.25030i) q^{74} +(-0.236604 + 5.88311i) q^{75} +(0.440070 - 1.64236i) q^{76} +(20.2511 - 5.42628i) q^{77} +(0.602764 + 2.24955i) q^{78} +(5.43524 - 1.45637i) q^{79} +(-0.814017 - 2.08264i) q^{80} +(-0.778613 + 1.34860i) q^{81} -1.03426i q^{82} +(2.80923 - 10.4842i) q^{83} -4.52143i q^{84} +(-14.6452 + 5.72418i) q^{85} +(-4.23309 - 7.33194i) q^{86} +(6.84861 + 3.95405i) q^{87} +5.46031i q^{88} +(-8.91075 - 2.38763i) q^{89} +(2.81731 + 2.25318i) q^{90} +(7.33493 + 1.96539i) q^{91} +(3.04172 - 5.26842i) q^{92} +(0.345990 - 0.599272i) q^{93} +(-6.38885 - 1.71189i) q^{94} +(-3.77867 + 0.420405i) q^{95} +(1.13745 + 0.304778i) q^{96} +3.18792i q^{97} +(-6.70537 - 3.87135i) q^{98} +(-4.40462 - 7.62902i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.304778 + 1.13745i 0.175964 + 0.656706i 0.996385 + 0.0849470i \(0.0270721\pi\)
−0.820422 + 0.571759i \(0.806261\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 2.21062 + 0.336359i 0.988621 + 0.150425i
\(6\) −0.832670 + 0.832670i −0.339936 + 0.339936i
\(7\) 0.993767 + 3.70879i 0.375609 + 1.40179i 0.852453 + 0.522803i \(0.175114\pi\)
−0.476845 + 0.878987i \(0.658220\pi\)
\(8\) −1.00000 −0.353553
\(9\) 1.39718 0.806661i 0.465726 0.268887i
\(10\) 0.814017 + 2.08264i 0.257415 + 0.658588i
\(11\) 5.46031i 1.64635i −0.567791 0.823173i \(-0.692202\pi\)
0.567791 0.823173i \(-0.307798\pi\)
\(12\) −1.13745 0.304778i −0.328353 0.0879819i
\(13\) 0.988857 1.71275i 0.274260 0.475032i −0.695688 0.718344i \(-0.744901\pi\)
0.969948 + 0.243312i \(0.0782339\pi\)
\(14\) −2.71502 + 2.71502i −0.725620 + 0.725620i
\(15\) 0.291159 + 2.61699i 0.0751770 + 0.675703i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −6.08991 + 3.51601i −1.47702 + 0.852758i −0.999663 0.0259513i \(-0.991739\pi\)
−0.477357 + 0.878709i \(0.658405\pi\)
\(18\) 1.39718 + 0.806661i 0.329318 + 0.190132i
\(19\) −1.64236 + 0.440070i −0.376784 + 0.100959i −0.442241 0.896896i \(-0.645816\pi\)
0.0654567 + 0.997855i \(0.479150\pi\)
\(20\) −1.39661 + 1.74628i −0.312291 + 0.390480i
\(21\) −3.91568 + 2.26072i −0.854471 + 0.493329i
\(22\) 4.72877 2.73016i 1.00818 0.582071i
\(23\) −6.08345 −1.26849 −0.634243 0.773133i \(-0.718688\pi\)
−0.634243 + 0.773133i \(0.718688\pi\)
\(24\) −0.304778 1.13745i −0.0622126 0.232181i
\(25\) 4.77372 + 1.48713i 0.954745 + 0.297426i
\(26\) 1.97771 0.387862
\(27\) 3.84137 + 3.84137i 0.739273 + 0.739273i
\(28\) −3.70879 0.993767i −0.700895 0.187804i
\(29\) 4.74864 4.74864i 0.881799 0.881799i −0.111918 0.993717i \(-0.535699\pi\)
0.993717 + 0.111918i \(0.0356994\pi\)
\(30\) −2.12080 + 1.56064i −0.387203 + 0.284933i
\(31\) −0.415519 0.415519i −0.0746294 0.0746294i 0.668807 0.743436i \(-0.266805\pi\)
−0.743436 + 0.668807i \(0.766805\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 6.21082 1.66418i 1.08116 0.289697i
\(34\) −6.08991 3.51601i −1.04441 0.602991i
\(35\) 0.949360 + 8.53300i 0.160471 + 1.44234i
\(36\) 1.61332i 0.268887i
\(37\) 4.05923 4.53019i 0.667333 0.744759i
\(38\) −1.20229 1.20229i −0.195038 0.195038i
\(39\) 2.24955 + 0.602764i 0.360216 + 0.0965196i
\(40\) −2.21062 0.336359i −0.349530 0.0531831i
\(41\) −0.895698 0.517131i −0.139884 0.0807623i 0.428424 0.903578i \(-0.359069\pi\)
−0.568309 + 0.822815i \(0.692402\pi\)
\(42\) −3.91568 2.26072i −0.604202 0.348836i
\(43\) −8.46619 −1.29108 −0.645541 0.763726i \(-0.723368\pi\)
−0.645541 + 0.763726i \(0.723368\pi\)
\(44\) 4.72877 + 2.73016i 0.712888 + 0.411586i
\(45\) 3.35996 1.31327i 0.500874 0.195771i
\(46\) −3.04172 5.26842i −0.448478 0.776786i
\(47\) −4.67697 + 4.67697i −0.682205 + 0.682205i −0.960497 0.278291i \(-0.910232\pi\)
0.278291 + 0.960497i \(0.410232\pi\)
\(48\) 0.832670 0.832670i 0.120186 0.120186i
\(49\) −6.70537 + 3.87135i −0.957910 + 0.553049i
\(50\) 1.09897 + 4.87773i 0.155418 + 0.689815i
\(51\) −5.85535 5.85535i −0.819913 0.819913i
\(52\) 0.988857 + 1.71275i 0.137130 + 0.237516i
\(53\) 2.67928 9.99922i 0.368028 1.37350i −0.495241 0.868755i \(-0.664920\pi\)
0.863269 0.504744i \(-0.168413\pi\)
\(54\) −1.40604 + 5.24741i −0.191338 + 0.714083i
\(55\) 1.83663 12.0707i 0.247651 1.62761i
\(56\) −0.993767 3.70879i −0.132798 0.495608i
\(57\) −1.00111 1.73398i −0.132601 0.229671i
\(58\) 6.48676 + 1.73812i 0.851753 + 0.228226i
\(59\) −0.818273 + 3.05384i −0.106530 + 0.397576i −0.998514 0.0544909i \(-0.982646\pi\)
0.891984 + 0.452067i \(0.149313\pi\)
\(60\) −2.41196 1.05634i −0.311382 0.136373i
\(61\) 2.58577 0.692854i 0.331073 0.0887109i −0.0894533 0.995991i \(-0.528512\pi\)
0.420527 + 0.907280i \(0.361845\pi\)
\(62\) 0.152090 0.567609i 0.0193155 0.0720864i
\(63\) 4.38021 + 4.38021i 0.551854 + 0.551854i
\(64\) 1.00000 0.125000
\(65\) 2.76209 3.45364i 0.342595 0.428371i
\(66\) 4.54664 + 4.54664i 0.559652 + 0.559652i
\(67\) 9.46427 2.53594i 1.15625 0.309815i 0.370780 0.928721i \(-0.379090\pi\)
0.785465 + 0.618906i \(0.212424\pi\)
\(68\) 7.03202i 0.852758i
\(69\) −1.85410 6.91961i −0.223208 0.833023i
\(70\) −6.91512 + 5.08867i −0.826515 + 0.608213i
\(71\) 2.59131 4.48828i 0.307532 0.532661i −0.670290 0.742099i \(-0.733830\pi\)
0.977822 + 0.209438i \(0.0671635\pi\)
\(72\) −1.39718 + 0.806661i −0.164659 + 0.0950659i
\(73\) −2.88594 + 2.88594i −0.337773 + 0.337773i −0.855529 0.517755i \(-0.826768\pi\)
0.517755 + 0.855529i \(0.326768\pi\)
\(74\) 5.95288 + 1.25030i 0.692008 + 0.145344i
\(75\) −0.236604 + 5.88311i −0.0273207 + 0.679323i
\(76\) 0.440070 1.64236i 0.0504795 0.188392i
\(77\) 20.2511 5.42628i 2.30783 0.618382i
\(78\) 0.602764 + 2.24955i 0.0682496 + 0.254711i
\(79\) 5.43524 1.45637i 0.611512 0.163854i 0.0602457 0.998184i \(-0.480812\pi\)
0.551266 + 0.834330i \(0.314145\pi\)
\(80\) −0.814017 2.08264i −0.0910098 0.232846i
\(81\) −0.778613 + 1.34860i −0.0865126 + 0.149844i
\(82\) 1.03426i 0.114215i
\(83\) 2.80923 10.4842i 0.308354 1.15079i −0.621666 0.783282i \(-0.713544\pi\)
0.930020 0.367509i \(-0.119789\pi\)
\(84\) 4.52143i 0.493329i
\(85\) −14.6452 + 5.72418i −1.58849 + 0.620875i
\(86\) −4.23309 7.33194i −0.456466 0.790623i
\(87\) 6.84861 + 3.95405i 0.734248 + 0.423918i
\(88\) 5.46031i 0.582071i
\(89\) −8.91075 2.38763i −0.944538 0.253088i −0.246495 0.969144i \(-0.579279\pi\)
−0.698043 + 0.716056i \(0.745946\pi\)
\(90\) 2.81731 + 2.25318i 0.296970 + 0.237506i
\(91\) 7.33493 + 1.96539i 0.768909 + 0.206029i
\(92\) 3.04172 5.26842i 0.317122 0.549271i
\(93\) 0.345990 0.599272i 0.0358775 0.0621416i
\(94\) −6.38885 1.71189i −0.658960 0.176568i
\(95\) −3.77867 + 0.420405i −0.387683 + 0.0431326i
\(96\) 1.13745 + 0.304778i 0.116090 + 0.0311063i
\(97\) 3.18792i 0.323684i 0.986817 + 0.161842i \(0.0517435\pi\)
−0.986817 + 0.161842i \(0.948256\pi\)
\(98\) −6.70537 3.87135i −0.677344 0.391065i
\(99\) −4.40462 7.62902i −0.442681 0.766746i
\(100\) −3.67475 + 3.39060i −0.367475 + 0.339060i
\(101\) 4.98949i 0.496473i −0.968699 0.248237i \(-0.920149\pi\)
0.968699 0.248237i \(-0.0798510\pi\)
\(102\) 2.14321 7.99856i 0.212209 0.791976i
\(103\) 14.0366i 1.38307i 0.722344 + 0.691534i \(0.243065\pi\)
−0.722344 + 0.691534i \(0.756935\pi\)
\(104\) −0.988857 + 1.71275i −0.0969654 + 0.167949i
\(105\) −9.41651 + 3.68052i −0.918957 + 0.359182i
\(106\) 9.99922 2.67928i 0.971210 0.260235i
\(107\) 3.43329 + 12.8132i 0.331909 + 1.23870i 0.907181 + 0.420740i \(0.138229\pi\)
−0.575272 + 0.817962i \(0.695104\pi\)
\(108\) −5.24741 + 1.40604i −0.504933 + 0.135296i
\(109\) −4.26226 + 15.9070i −0.408251 + 1.52361i 0.389730 + 0.920929i \(0.372568\pi\)
−0.797980 + 0.602683i \(0.794098\pi\)
\(110\) 11.3718 4.44478i 1.08426 0.423793i
\(111\) 6.39003 + 3.23646i 0.606514 + 0.307191i
\(112\) 2.71502 2.71502i 0.256545 0.256545i
\(113\) 13.3365 7.69982i 1.25459 0.724338i 0.282573 0.959246i \(-0.408812\pi\)
0.972018 + 0.234908i \(0.0754788\pi\)
\(114\) 1.00111 1.73398i 0.0937628 0.162402i
\(115\) −13.4482 2.04623i −1.25405 0.190811i
\(116\) 1.73812 + 6.48676i 0.161380 + 0.602280i
\(117\) 3.19069i 0.294979i
\(118\) −3.05384 + 0.818273i −0.281128 + 0.0753282i
\(119\) −19.0921 19.0921i −1.75017 1.75017i
\(120\) −0.291159 2.61699i −0.0265791 0.238897i
\(121\) −18.8150 −1.71045
\(122\) 1.89291 + 1.89291i 0.171376 + 0.171376i
\(123\) 0.315221 1.17642i 0.0284225 0.106074i
\(124\) 0.567609 0.152090i 0.0509728 0.0136581i
\(125\) 10.0527 + 4.89317i 0.899141 + 0.437659i
\(126\) −1.60327 + 5.98347i −0.142830 + 0.533050i
\(127\) 4.18716 + 1.12195i 0.371550 + 0.0995566i 0.439762 0.898114i \(-0.355063\pi\)
−0.0682118 + 0.997671i \(0.521729\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −2.58031 9.62985i −0.227184 0.847861i
\(130\) 4.37199 + 0.665223i 0.383448 + 0.0583439i
\(131\) −3.34173 + 12.4715i −0.291969 + 1.08964i 0.651626 + 0.758540i \(0.274087\pi\)
−0.943595 + 0.331102i \(0.892580\pi\)
\(132\) −1.66418 + 6.21082i −0.144849 + 0.540582i
\(133\) −3.26425 5.65385i −0.283047 0.490251i
\(134\) 6.92833 + 6.92833i 0.598517 + 0.598517i
\(135\) 7.19975 + 9.78392i 0.619656 + 0.842066i
\(136\) 6.08991 3.51601i 0.522206 0.301496i
\(137\) 8.52641 8.52641i 0.728460 0.728460i −0.241853 0.970313i \(-0.577755\pi\)
0.970313 + 0.241853i \(0.0777551\pi\)
\(138\) 5.06550 5.06550i 0.431204 0.431204i
\(139\) 3.56517 + 6.17505i 0.302394 + 0.523761i 0.976678 0.214711i \(-0.0688809\pi\)
−0.674284 + 0.738472i \(0.735548\pi\)
\(140\) −7.86448 3.44433i −0.664670 0.291099i
\(141\) −6.74524 3.89437i −0.568052 0.327965i
\(142\) 5.18262 0.434916
\(143\) −9.35215 5.39947i −0.782066 0.451526i
\(144\) −1.39718 0.806661i −0.116431 0.0672218i
\(145\) 12.0947 8.90020i 1.00441 0.739122i
\(146\) −3.94226 1.05633i −0.326264 0.0874221i
\(147\) −6.44710 6.44710i −0.531748 0.531748i
\(148\) 1.89365 + 5.78049i 0.155657 + 0.475154i
\(149\) 15.1227i 1.23890i 0.785035 + 0.619451i \(0.212645\pi\)
−0.785035 + 0.619451i \(0.787355\pi\)
\(150\) −5.21322 + 2.73665i −0.425658 + 0.223446i
\(151\) −6.36629 3.67558i −0.518081 0.299114i 0.218068 0.975934i \(-0.430025\pi\)
−0.736149 + 0.676819i \(0.763358\pi\)
\(152\) 1.64236 0.440070i 0.133213 0.0356944i
\(153\) −5.67246 + 9.82499i −0.458591 + 0.794303i
\(154\) 14.8249 + 14.8249i 1.19462 + 1.19462i
\(155\) −0.778792 1.05832i −0.0625541 0.0850063i
\(156\) −1.64678 + 1.64678i −0.131848 + 0.131848i
\(157\) −21.5637 5.77799i −1.72097 0.461133i −0.742901 0.669401i \(-0.766551\pi\)
−0.978072 + 0.208267i \(0.933218\pi\)
\(158\) 3.97887 + 3.97887i 0.316542 + 0.316542i
\(159\) 12.1902 0.966745
\(160\) 1.39661 1.74628i 0.110412 0.138055i
\(161\) −6.04553 22.5622i −0.476455 1.77815i
\(162\) −1.55723 −0.122347
\(163\) 0.0374727 0.0216348i 0.00293509 0.00169457i −0.498532 0.866871i \(-0.666127\pi\)
0.501467 + 0.865177i \(0.332794\pi\)
\(164\) 0.895698 0.517131i 0.0699422 0.0403812i
\(165\) 14.2896 1.58982i 1.11244 0.123767i
\(166\) 10.4842 2.80923i 0.813732 0.218039i
\(167\) −9.62460 5.55677i −0.744774 0.429996i 0.0790284 0.996872i \(-0.474818\pi\)
−0.823803 + 0.566877i \(0.808152\pi\)
\(168\) 3.91568 2.26072i 0.302101 0.174418i
\(169\) 4.54432 + 7.87100i 0.349563 + 0.605461i
\(170\) −12.2799 9.82098i −0.941823 0.753235i
\(171\) −1.93969 + 1.93969i −0.148331 + 0.148331i
\(172\) 4.23309 7.33194i 0.322770 0.559055i
\(173\) −11.2921 3.02570i −0.858519 0.230039i −0.197402 0.980323i \(-0.563251\pi\)
−0.661117 + 0.750283i \(0.729917\pi\)
\(174\) 7.90809i 0.599511i
\(175\) −0.771477 + 19.1826i −0.0583182 + 1.45007i
\(176\) −4.72877 + 2.73016i −0.356444 + 0.205793i
\(177\) −3.72297 −0.279836
\(178\) −2.38763 8.91075i −0.178960 0.667889i
\(179\) −4.59580 + 4.59580i −0.343506 + 0.343506i −0.857684 0.514178i \(-0.828097\pi\)
0.514178 + 0.857684i \(0.328097\pi\)
\(180\) −0.542656 + 3.56645i −0.0404472 + 0.265827i
\(181\) 0.422608 0.731979i 0.0314122 0.0544076i −0.849892 0.526957i \(-0.823333\pi\)
0.881304 + 0.472549i \(0.156666\pi\)
\(182\) 1.96539 + 7.33493i 0.145684 + 0.543701i
\(183\) 1.57617 + 2.73001i 0.116514 + 0.201808i
\(184\) 6.08345 0.448478
\(185\) 10.4972 8.64920i 0.771770 0.635902i
\(186\) 0.691980 0.0507384
\(187\) 19.1985 + 33.2528i 1.40393 + 2.43169i
\(188\) −1.71189 6.38885i −0.124852 0.465955i
\(189\) −10.4294 + 18.0643i −0.758628 + 1.31398i
\(190\) −2.25342 3.06222i −0.163480 0.222157i
\(191\) −10.4745 + 10.4745i −0.757906 + 0.757906i −0.975941 0.218035i \(-0.930035\pi\)
0.218035 + 0.975941i \(0.430035\pi\)
\(192\) 0.304778 + 1.13745i 0.0219955 + 0.0820882i
\(193\) 4.98115 0.358551 0.179276 0.983799i \(-0.442625\pi\)
0.179276 + 0.983799i \(0.442625\pi\)
\(194\) −2.76082 + 1.59396i −0.198215 + 0.114440i
\(195\) 4.77016 + 2.08914i 0.341598 + 0.149607i
\(196\) 7.74269i 0.553049i
\(197\) −18.2919 4.90131i −1.30325 0.349204i −0.460570 0.887623i \(-0.652355\pi\)
−0.842677 + 0.538419i \(0.819022\pi\)
\(198\) 4.40462 7.62902i 0.313023 0.542171i
\(199\) 9.19559 9.19559i 0.651858 0.651858i −0.301582 0.953440i \(-0.597515\pi\)
0.953440 + 0.301582i \(0.0975147\pi\)
\(200\) −4.77372 1.48713i −0.337553 0.105156i
\(201\) 5.76901 + 9.99222i 0.406915 + 0.704797i
\(202\) 4.32103 2.49475i 0.304026 0.175530i
\(203\) 22.3307 + 12.8927i 1.56731 + 0.904887i
\(204\) 7.99856 2.14321i 0.560011 0.150055i
\(205\) −1.80611 1.44446i −0.126144 0.100885i
\(206\) −12.1561 + 7.01831i −0.846953 + 0.488988i
\(207\) −8.49966 + 4.90728i −0.590767 + 0.341080i
\(208\) −1.97771 −0.137130
\(209\) 2.40292 + 8.96781i 0.166213 + 0.620316i
\(210\) −7.89568 6.31467i −0.544854 0.435754i
\(211\) −15.0513 −1.03617 −0.518087 0.855328i \(-0.673356\pi\)
−0.518087 + 0.855328i \(0.673356\pi\)
\(212\) 7.31994 + 7.31994i 0.502736 + 0.502736i
\(213\) 5.89497 + 1.57955i 0.403916 + 0.108229i
\(214\) −9.37993 + 9.37993i −0.641199 + 0.641199i
\(215\) −18.7156 2.84768i −1.27639 0.194210i
\(216\) −3.84137 3.84137i −0.261372 0.261372i
\(217\) 1.12814 1.95400i 0.0765833 0.132646i
\(218\) −15.9070 + 4.26226i −1.07736 + 0.288677i
\(219\) −4.16217 2.40303i −0.281254 0.162382i
\(220\) 9.53522 + 7.62591i 0.642864 + 0.514139i
\(221\) 13.9073i 0.935509i
\(222\) 0.392159 + 7.15215i 0.0263200 + 0.480021i
\(223\) −16.4064 16.4064i −1.09865 1.09865i −0.994568 0.104085i \(-0.966809\pi\)
−0.104085 0.994568i \(-0.533191\pi\)
\(224\) 3.70879 + 0.993767i 0.247804 + 0.0663989i
\(225\) 7.86935 1.77299i 0.524623 0.118200i
\(226\) 13.3365 + 7.69982i 0.887129 + 0.512184i
\(227\) −17.8211 10.2890i −1.18283 0.682906i −0.226160 0.974090i \(-0.572617\pi\)
−0.956667 + 0.291184i \(0.905951\pi\)
\(228\) 2.00223 0.132601
\(229\) −11.3988 6.58111i −0.753255 0.434892i 0.0736141 0.997287i \(-0.476547\pi\)
−0.826869 + 0.562395i \(0.809880\pi\)
\(230\) −4.95203 12.6696i −0.326527 0.835410i
\(231\) 12.3442 + 21.3808i 0.812190 + 1.40675i
\(232\) −4.74864 + 4.74864i −0.311763 + 0.311763i
\(233\) 9.59629 9.59629i 0.628674 0.628674i −0.319061 0.947734i \(-0.603367\pi\)
0.947734 + 0.319061i \(0.103367\pi\)
\(234\) 2.76322 1.59535i 0.180637 0.104291i
\(235\) −11.9122 + 8.76587i −0.777063 + 0.571823i
\(236\) −2.23556 2.23556i −0.145523 0.145523i
\(237\) 3.31308 + 5.73843i 0.215208 + 0.372751i
\(238\) 6.98819 26.0803i 0.452977 1.69053i
\(239\) 5.72534 21.3673i 0.370341 1.38213i −0.489692 0.871896i \(-0.662891\pi\)
0.860033 0.510238i \(-0.170443\pi\)
\(240\) 2.12080 1.56064i 0.136897 0.100739i
\(241\) 3.74860 + 13.9900i 0.241469 + 0.901174i 0.975125 + 0.221654i \(0.0711454\pi\)
−0.733657 + 0.679520i \(0.762188\pi\)
\(242\) −9.40749 16.2943i −0.604737 1.04743i
\(243\) 13.9710 + 3.74351i 0.896239 + 0.240146i
\(244\) −0.692854 + 2.58577i −0.0443554 + 0.165537i
\(245\) −16.1252 + 6.30268i −1.03020 + 0.402663i
\(246\) 1.17642 0.315221i 0.0750058 0.0200977i
\(247\) −0.870332 + 3.24812i −0.0553779 + 0.206673i
\(248\) 0.415519 + 0.415519i 0.0263855 + 0.0263855i
\(249\) 12.7814 0.809991
\(250\) 0.788742 + 11.1525i 0.0498844 + 0.705345i
\(251\) 13.9150 + 13.9150i 0.878305 + 0.878305i 0.993359 0.115054i \(-0.0367042\pi\)
−0.115054 + 0.993359i \(0.536704\pi\)
\(252\) −5.98347 + 1.60327i −0.376923 + 0.100996i
\(253\) 33.2175i 2.08837i
\(254\) 1.12195 + 4.18716i 0.0703972 + 0.262726i
\(255\) −10.9745 14.9135i −0.687249 0.933919i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 4.12982 2.38436i 0.257611 0.148732i −0.365633 0.930759i \(-0.619147\pi\)
0.623244 + 0.782027i \(0.285814\pi\)
\(258\) 7.04954 7.04954i 0.438885 0.438885i
\(259\) 20.8355 + 10.5529i 1.29465 + 0.655723i
\(260\) 1.60989 + 4.11886i 0.0998413 + 0.255441i
\(261\) 2.80415 10.4652i 0.173572 0.647781i
\(262\) −12.4715 + 3.34173i −0.770493 + 0.206453i
\(263\) −0.0627910 0.234339i −0.00387186 0.0144500i 0.963963 0.266037i \(-0.0857143\pi\)
−0.967835 + 0.251587i \(0.919048\pi\)
\(264\) −6.21082 + 1.66418i −0.382250 + 0.102423i
\(265\) 9.28622 21.2033i 0.570448 1.30251i
\(266\) 3.26425 5.65385i 0.200144 0.346660i
\(267\) 10.8632i 0.664818i
\(268\) −2.53594 + 9.46427i −0.154907 + 0.578123i
\(269\) 17.4363i 1.06311i −0.847024 0.531554i \(-0.821608\pi\)
0.847024 0.531554i \(-0.178392\pi\)
\(270\) −4.87325 + 11.1271i −0.296576 + 0.677176i
\(271\) 5.34533 + 9.25838i 0.324705 + 0.562406i 0.981453 0.191704i \(-0.0614015\pi\)
−0.656747 + 0.754111i \(0.728068\pi\)
\(272\) 6.08991 + 3.51601i 0.369255 + 0.213190i
\(273\) 8.94211i 0.541201i
\(274\) 11.6473 + 3.12088i 0.703638 + 0.188539i
\(275\) 8.12019 26.0660i 0.489666 1.57184i
\(276\) 6.91961 + 1.85410i 0.416511 + 0.111604i
\(277\) −13.1025 + 22.6941i −0.787251 + 1.36356i 0.140395 + 0.990096i \(0.455163\pi\)
−0.927645 + 0.373462i \(0.878170\pi\)
\(278\) −3.56517 + 6.17505i −0.213825 + 0.370355i
\(279\) −0.915736 0.245371i −0.0548237 0.0146900i
\(280\) −0.949360 8.53300i −0.0567351 0.509945i
\(281\) 8.14474 + 2.18238i 0.485874 + 0.130190i 0.493437 0.869782i \(-0.335740\pi\)
−0.00756218 + 0.999971i \(0.502407\pi\)
\(282\) 7.78874i 0.463812i
\(283\) −0.349853 0.201988i −0.0207966 0.0120069i 0.489566 0.871966i \(-0.337155\pi\)
−0.510362 + 0.859960i \(0.670489\pi\)
\(284\) 2.59131 + 4.48828i 0.153766 + 0.266331i
\(285\) −1.62985 4.16991i −0.0965437 0.247004i
\(286\) 10.7989i 0.638554i
\(287\) 1.02782 3.83586i 0.0606701 0.226424i
\(288\) 1.61332i 0.0950659i
\(289\) 16.2247 28.1020i 0.954393 1.65306i
\(290\) 13.7552 + 6.02422i 0.807730 + 0.353754i
\(291\) −3.62609 + 0.971609i −0.212565 + 0.0569567i
\(292\) −1.05633 3.94226i −0.0618168 0.230703i
\(293\) 18.0248 4.82973i 1.05302 0.282156i 0.309520 0.950893i \(-0.399832\pi\)
0.743499 + 0.668737i \(0.233165\pi\)
\(294\) 2.35980 8.80691i 0.137627 0.513629i
\(295\) −2.83608 + 6.47565i −0.165123 + 0.377027i
\(296\) −4.05923 + 4.53019i −0.235938 + 0.263312i
\(297\) 20.9751 20.9751i 1.21710 1.21710i
\(298\) −13.0967 + 7.56136i −0.758670 + 0.438018i
\(299\) −6.01566 + 10.4194i −0.347895 + 0.602571i
\(300\) −4.97662 3.14646i −0.287325 0.181661i
\(301\) −8.41342 31.3993i −0.484941 1.80983i
\(302\) 7.35116i 0.423012i
\(303\) 5.67529 1.52069i 0.326037 0.0873613i
\(304\) 1.20229 + 1.20229i 0.0689562 + 0.0689562i
\(305\) 5.94921 0.661893i 0.340651 0.0378999i
\(306\) −11.3449 −0.648546
\(307\) −5.59294 5.59294i −0.319206 0.319206i 0.529256 0.848462i \(-0.322471\pi\)
−0.848462 + 0.529256i \(0.822471\pi\)
\(308\) −5.42628 + 20.2511i −0.309191 + 1.15392i
\(309\) −15.9659 + 4.27805i −0.908269 + 0.243370i
\(310\) 0.527136 1.20361i 0.0299393 0.0683607i
\(311\) 0.485709 1.81269i 0.0275420 0.102788i −0.950787 0.309847i \(-0.899722\pi\)
0.978329 + 0.207058i \(0.0663890\pi\)
\(312\) −2.24955 0.602764i −0.127356 0.0341248i
\(313\) 7.56581 + 13.1044i 0.427645 + 0.740703i 0.996663 0.0816220i \(-0.0260100\pi\)
−0.569018 + 0.822325i \(0.692677\pi\)
\(314\) −5.77799 21.5637i −0.326071 1.21691i
\(315\) 8.20967 + 11.1563i 0.462562 + 0.628587i
\(316\) −1.45637 + 5.43524i −0.0819270 + 0.305756i
\(317\) −4.08381 + 15.2410i −0.229369 + 0.856018i 0.751237 + 0.660032i \(0.229457\pi\)
−0.980607 + 0.195986i \(0.937209\pi\)
\(318\) 6.09509 + 10.5570i 0.341796 + 0.592008i
\(319\) −25.9290 25.9290i −1.45175 1.45175i
\(320\) 2.21062 + 0.336359i 0.123578 + 0.0188031i
\(321\) −13.5280 + 7.81039i −0.755059 + 0.435933i
\(322\) 16.5167 16.5167i 0.920440 0.920440i
\(323\) 8.45455 8.45455i 0.470424 0.470424i
\(324\) −0.778613 1.34860i −0.0432563 0.0749221i
\(325\) 7.26761 6.70564i 0.403135 0.371962i
\(326\) 0.0374727 + 0.0216348i 0.00207542 + 0.00119824i
\(327\) −19.3924 −1.07240
\(328\) 0.895698 + 0.517131i 0.0494566 + 0.0285538i
\(329\) −21.9937 12.6981i −1.21255 0.700067i
\(330\) 8.52160 + 11.5802i 0.469099 + 0.637470i
\(331\) −10.3911 2.78429i −0.571147 0.153038i −0.0383242 0.999265i \(-0.512202\pi\)
−0.532822 + 0.846227i \(0.678869\pi\)
\(332\) 7.67497 + 7.67497i 0.421219 + 0.421219i
\(333\) 2.01713 9.60391i 0.110538 0.526291i
\(334\) 11.1135i 0.608106i
\(335\) 21.7749 2.42262i 1.18969 0.132362i
\(336\) 3.91568 + 2.26072i 0.213618 + 0.123332i
\(337\) −13.0782 + 3.50429i −0.712414 + 0.190891i −0.596784 0.802402i \(-0.703555\pi\)
−0.115630 + 0.993292i \(0.536889\pi\)
\(338\) −4.54432 + 7.87100i −0.247179 + 0.428126i
\(339\) 12.8228 + 12.8228i 0.696440 + 0.696440i
\(340\) 2.36529 15.5452i 0.128276 0.843055i
\(341\) −2.26886 + 2.26886i −0.122866 + 0.122866i
\(342\) −2.64966 0.709974i −0.143277 0.0383910i
\(343\) −2.01642 2.01642i −0.108877 0.108877i
\(344\) 8.46619 0.456466
\(345\) −1.77125 15.9203i −0.0953610 0.857120i
\(346\) −3.02570 11.2921i −0.162662 0.607065i
\(347\) −5.90909 −0.317217 −0.158608 0.987342i \(-0.550701\pi\)
−0.158608 + 0.987342i \(0.550701\pi\)
\(348\) −6.84861 + 3.95405i −0.367124 + 0.211959i
\(349\) 4.07376 2.35198i 0.218063 0.125899i −0.386990 0.922084i \(-0.626485\pi\)
0.605053 + 0.796185i \(0.293152\pi\)
\(350\) −16.9984 + 8.92318i −0.908600 + 0.476964i
\(351\) 10.3779 2.78075i 0.553931 0.148425i
\(352\) −4.72877 2.73016i −0.252044 0.145518i
\(353\) −12.7692 + 7.37231i −0.679637 + 0.392388i −0.799718 0.600376i \(-0.795018\pi\)
0.120081 + 0.992764i \(0.461684\pi\)
\(354\) −1.86149 3.22419i −0.0989369 0.171364i
\(355\) 7.23809 9.05030i 0.384158 0.480340i
\(356\) 6.52312 6.52312i 0.345725 0.345725i
\(357\) 15.8974 27.5351i 0.841380 1.45731i
\(358\) −6.27798 1.68218i −0.331801 0.0889059i
\(359\) 7.93603i 0.418847i −0.977825 0.209424i \(-0.932841\pi\)
0.977825 0.209424i \(-0.0671588\pi\)
\(360\) −3.35996 + 1.31327i −0.177086 + 0.0692155i
\(361\) −13.9508 + 8.05449i −0.734252 + 0.423921i
\(362\) 0.845216 0.0444236
\(363\) −5.73440 21.4011i −0.300978 1.12326i
\(364\) −5.36954 + 5.36954i −0.281440 + 0.281440i
\(365\) −7.35043 + 5.40901i −0.384739 + 0.283121i
\(366\) −1.57617 + 2.73001i −0.0823878 + 0.142700i
\(367\) 9.03720 + 33.7273i 0.471738 + 1.76055i 0.633522 + 0.773725i \(0.281609\pi\)
−0.161784 + 0.986826i \(0.551725\pi\)
\(368\) 3.04172 + 5.26842i 0.158561 + 0.274635i
\(369\) −1.66860 −0.0868638
\(370\) 12.7390 + 4.76625i 0.662271 + 0.247785i
\(371\) 39.7476 2.06359
\(372\) 0.345990 + 0.599272i 0.0179387 + 0.0310708i
\(373\) −1.29877 4.84708i −0.0672478 0.250972i 0.924116 0.382112i \(-0.124803\pi\)
−0.991364 + 0.131140i \(0.958136\pi\)
\(374\) −19.1985 + 33.2528i −0.992732 + 1.71946i
\(375\) −2.50188 + 12.9258i −0.129197 + 0.667483i
\(376\) 4.67697 4.67697i 0.241196 0.241196i
\(377\) −3.43751 12.8290i −0.177041 0.660725i
\(378\) −20.8588 −1.07286
\(379\) −1.97427 + 1.13985i −0.101412 + 0.0585501i −0.549848 0.835265i \(-0.685314\pi\)
0.448436 + 0.893815i \(0.351981\pi\)
\(380\) 1.52525 3.48263i 0.0782438 0.178655i
\(381\) 5.10462i 0.261518i
\(382\) −14.3084 3.83392i −0.732081 0.196161i
\(383\) −13.4222 + 23.2479i −0.685843 + 1.18791i 0.287328 + 0.957832i \(0.407233\pi\)
−0.973171 + 0.230082i \(0.926100\pi\)
\(384\) −0.832670 + 0.832670i −0.0424920 + 0.0424920i
\(385\) 46.5929 5.18380i 2.37459 0.264191i
\(386\) 2.49058 + 4.31381i 0.126767 + 0.219567i
\(387\) −11.8288 + 6.82935i −0.601290 + 0.347155i
\(388\) −2.76082 1.59396i −0.140159 0.0809210i
\(389\) 29.8185 7.98985i 1.51186 0.405102i 0.594807 0.803868i \(-0.297228\pi\)
0.917052 + 0.398767i \(0.130562\pi\)
\(390\) 0.575830 + 5.17565i 0.0291583 + 0.262079i
\(391\) 37.0477 21.3895i 1.87358 1.08171i
\(392\) 6.70537 3.87135i 0.338672 0.195532i
\(393\) −15.2042 −0.766950
\(394\) −4.90131 18.2919i −0.246925 0.921535i
\(395\) 12.5051 1.39129i 0.629201 0.0700033i
\(396\) 8.80924 0.442681
\(397\) 9.58770 + 9.58770i 0.481193 + 0.481193i 0.905512 0.424320i \(-0.139487\pi\)
−0.424320 + 0.905512i \(0.639487\pi\)
\(398\) 12.5614 + 3.36582i 0.629647 + 0.168713i
\(399\) 5.43609 5.43609i 0.272145 0.272145i
\(400\) −1.09897 4.87773i −0.0549485 0.243887i
\(401\) −15.6700 15.6700i −0.782521 0.782521i 0.197735 0.980256i \(-0.436641\pi\)
−0.980256 + 0.197735i \(0.936641\pi\)
\(402\) −5.76901 + 9.99222i −0.287732 + 0.498367i
\(403\) −1.12257 + 0.300791i −0.0559191 + 0.0149835i
\(404\) 4.32103 + 2.49475i 0.214979 + 0.124118i
\(405\) −2.17483 + 2.71935i −0.108068 + 0.135126i
\(406\) 25.7853i 1.27970i
\(407\) −24.7363 22.1646i −1.22613 1.09866i
\(408\) 5.85535 + 5.85535i 0.289883 + 0.289883i
\(409\) 5.75922 + 1.54318i 0.284775 + 0.0763053i 0.398379 0.917221i \(-0.369573\pi\)
−0.113604 + 0.993526i \(0.536239\pi\)
\(410\) 0.347884 2.28637i 0.0171808 0.112916i
\(411\) 12.2970 + 7.09968i 0.606567 + 0.350201i
\(412\) −12.1561 7.01831i −0.598886 0.345767i
\(413\) −12.1392 −0.597332
\(414\) −8.49966 4.90728i −0.417735 0.241180i
\(415\) 9.73663 22.2317i 0.477952 1.09131i
\(416\) −0.988857 1.71275i −0.0484827 0.0839745i
\(417\) −5.93722 + 5.93722i −0.290747 + 0.290747i
\(418\) −6.56489 + 6.56489i −0.321099 + 0.321099i
\(419\) 17.7139 10.2271i 0.865382 0.499629i −0.000428900 1.00000i \(-0.500137\pi\)
0.865811 + 0.500371i \(0.166803\pi\)
\(420\) 1.52083 9.99519i 0.0742088 0.487716i
\(421\) 10.5229 + 10.5229i 0.512855 + 0.512855i 0.915400 0.402545i \(-0.131874\pi\)
−0.402545 + 0.915400i \(0.631874\pi\)
\(422\) −7.52565 13.0348i −0.366343 0.634525i
\(423\) −2.76183 + 10.3073i −0.134285 + 0.501157i
\(424\) −2.67928 + 9.99922i −0.130118 + 0.485605i
\(425\) −34.3003 + 7.72799i −1.66381 + 0.374863i
\(426\) 1.57955 + 5.89497i 0.0765295 + 0.285612i
\(427\) 5.13930 + 8.90153i 0.248708 + 0.430775i
\(428\) −12.8132 3.43329i −0.619351 0.165955i
\(429\) 3.29128 12.2832i 0.158905 0.593040i
\(430\) −6.89162 17.6320i −0.332343 0.850291i
\(431\) −1.12101 + 0.300374i −0.0539972 + 0.0144685i −0.285717 0.958314i \(-0.592232\pi\)
0.231719 + 0.972783i \(0.425565\pi\)
\(432\) 1.40604 5.24741i 0.0676482 0.252466i
\(433\) −5.89491 5.89491i −0.283291 0.283291i 0.551129 0.834420i \(-0.314197\pi\)
−0.834420 + 0.551129i \(0.814197\pi\)
\(434\) 2.25629 0.108305
\(435\) 13.8097 + 11.0445i 0.662125 + 0.529543i
\(436\) −11.6447 11.6447i −0.557681 0.557681i
\(437\) 9.99123 2.67714i 0.477945 0.128065i
\(438\) 4.80606i 0.229643i
\(439\) −1.04997 3.91853i −0.0501121 0.187021i 0.936333 0.351114i \(-0.114197\pi\)
−0.986445 + 0.164093i \(0.947530\pi\)
\(440\) −1.83663 + 12.0707i −0.0875577 + 0.575448i
\(441\) −6.24573 + 10.8179i −0.297416 + 0.515139i
\(442\) −12.0441 + 6.95367i −0.572880 + 0.330752i
\(443\) 10.0495 10.0495i 0.477465 0.477465i −0.426855 0.904320i \(-0.640379\pi\)
0.904320 + 0.426855i \(0.140379\pi\)
\(444\) −5.99787 + 3.91570i −0.284646 + 0.185831i
\(445\) −18.8952 8.27537i −0.895720 0.392290i
\(446\) 6.00516 22.4116i 0.284352 1.06122i
\(447\) −17.2013 + 4.60908i −0.813594 + 0.218002i
\(448\) 0.993767 + 3.70879i 0.0469511 + 0.175224i
\(449\) 14.9542 4.00695i 0.705730 0.189100i 0.111934 0.993716i \(-0.464295\pi\)
0.593796 + 0.804616i \(0.297629\pi\)
\(450\) 5.47013 + 5.92856i 0.257865 + 0.279475i
\(451\) −2.82370 + 4.89079i −0.132963 + 0.230298i
\(452\) 15.3996i 0.724338i
\(453\) 2.24047 8.36156i 0.105267 0.392860i
\(454\) 20.5780i 0.965775i
\(455\) 15.5537 + 6.81191i 0.729168 + 0.319347i
\(456\) 1.00111 + 1.73398i 0.0468814 + 0.0812010i
\(457\) −8.86233 5.11667i −0.414562 0.239348i 0.278186 0.960527i \(-0.410267\pi\)
−0.692748 + 0.721180i \(0.743600\pi\)
\(458\) 13.1622i 0.615030i
\(459\) −36.8999 9.88731i −1.72234 0.461500i
\(460\) 8.49619 10.6234i 0.396137 0.495318i
\(461\) −31.4798 8.43499i −1.46616 0.392857i −0.564548 0.825400i \(-0.690950\pi\)
−0.901613 + 0.432543i \(0.857616\pi\)
\(462\) −12.3442 + 21.3808i −0.574305 + 0.994725i
\(463\) 5.78036 10.0119i 0.268636 0.465291i −0.699874 0.714266i \(-0.746760\pi\)
0.968510 + 0.248975i \(0.0800938\pi\)
\(464\) −6.48676 1.73812i −0.301140 0.0806902i
\(465\) 0.966425 1.20839i 0.0448169 0.0560377i
\(466\) 13.1088 + 3.51249i 0.607252 + 0.162713i
\(467\) 35.3131i 1.63410i −0.576568 0.817049i \(-0.695609\pi\)
0.576568 0.817049i \(-0.304391\pi\)
\(468\) 2.76322 + 1.59535i 0.127730 + 0.0737449i
\(469\) 18.8106 + 32.5809i 0.868591 + 1.50444i
\(470\) −13.5475 5.93329i −0.624902 0.273682i
\(471\) 26.2886i 1.21132i
\(472\) 0.818273 3.05384i 0.0376641 0.140564i
\(473\) 46.2280i 2.12557i
\(474\) −3.31308 + 5.73843i −0.152175 + 0.263575i
\(475\) −8.49463 0.341633i −0.389760 0.0156752i
\(476\) 26.0803 6.98819i 1.19539 0.320303i
\(477\) −4.32255 16.1320i −0.197916 0.738632i
\(478\) 21.3673 5.72534i 0.977316 0.261871i
\(479\) −7.88906 + 29.4424i −0.360460 + 1.34526i 0.513012 + 0.858382i \(0.328530\pi\)
−0.873472 + 0.486874i \(0.838137\pi\)
\(480\) 2.41196 + 1.05634i 0.110090 + 0.0482152i
\(481\) −3.74510 11.4322i −0.170762 0.521262i
\(482\) −10.2414 + 10.2414i −0.466482 + 0.466482i
\(483\) 23.8208 13.7530i 1.08388 0.625781i
\(484\) 9.40749 16.2943i 0.427613 0.740648i
\(485\) −1.07229 + 7.04729i −0.0486900 + 0.320001i
\(486\) 3.74351 + 13.9710i 0.169809 + 0.633736i
\(487\) 5.21694i 0.236402i −0.992990 0.118201i \(-0.962287\pi\)
0.992990 0.118201i \(-0.0377127\pi\)
\(488\) −2.58577 + 0.692854i −0.117052 + 0.0313640i
\(489\) 0.0360294 + 0.0360294i 0.00162930 + 0.00162930i
\(490\) −13.5209 10.8135i −0.610811 0.488504i
\(491\) 15.6799 0.707626 0.353813 0.935316i \(-0.384885\pi\)
0.353813 + 0.935316i \(0.384885\pi\)
\(492\) 0.861199 + 0.861199i 0.0388259 + 0.0388259i
\(493\) −12.2225 + 45.6150i −0.550474 + 2.05440i
\(494\) −3.24812 + 0.870332i −0.146140 + 0.0391581i
\(495\) −7.17087 18.3464i −0.322306 0.824611i
\(496\) −0.152090 + 0.567609i −0.00682906 + 0.0254864i
\(497\) 19.2213 + 5.15032i 0.862191 + 0.231023i
\(498\) 6.39072 + 11.0690i 0.286375 + 0.496016i
\(499\) −7.54976 28.1761i −0.337974 1.26134i −0.900609 0.434630i \(-0.856879\pi\)
0.562635 0.826705i \(-0.309788\pi\)
\(500\) −9.26396 + 6.25931i −0.414297 + 0.279925i
\(501\) 3.38716 12.6411i 0.151327 0.564761i
\(502\) −5.09323 + 19.0082i −0.227322 + 0.848377i
\(503\) −18.7714 32.5130i −0.836974 1.44968i −0.892413 0.451219i \(-0.850989\pi\)
0.0554390 0.998462i \(-0.482344\pi\)
\(504\) −4.38021 4.38021i −0.195110 0.195110i
\(505\) 1.67826 11.0299i 0.0746817 0.490824i
\(506\) −28.7672 + 16.6088i −1.27886 + 0.738349i
\(507\) −7.56784 + 7.56784i −0.336100 + 0.336100i
\(508\) −3.06521 + 3.06521i −0.135997 + 0.135997i
\(509\) 17.1627 + 29.7266i 0.760722 + 1.31761i 0.942479 + 0.334265i \(0.108488\pi\)
−0.181757 + 0.983343i \(0.558179\pi\)
\(510\) 7.42822 16.9609i 0.328927 0.751043i
\(511\) −13.5713 7.83538i −0.600358 0.346617i
\(512\) −1.00000 −0.0441942
\(513\) −7.99940 4.61846i −0.353182 0.203910i
\(514\) 4.12982 + 2.38436i 0.182159 + 0.105169i
\(515\) −4.72135 + 31.0297i −0.208047 + 1.36733i
\(516\) 9.62985 + 2.58031i 0.423931 + 0.113592i
\(517\) 25.5377 + 25.5377i 1.12315 + 1.12315i
\(518\) 1.27868 + 23.3205i 0.0561821 + 1.02464i
\(519\) 13.7663i 0.604273i
\(520\) −2.76209 + 3.45364i −0.121126 + 0.151452i
\(521\) 37.3873 + 21.5855i 1.63797 + 0.945680i 0.981533 + 0.191295i \(0.0612688\pi\)
0.656433 + 0.754384i \(0.272065\pi\)
\(522\) 10.4652 2.80415i 0.458051 0.122734i
\(523\) −14.0259 + 24.2937i −0.613312 + 1.06229i 0.377366 + 0.926064i \(0.376830\pi\)
−0.990678 + 0.136223i \(0.956504\pi\)
\(524\) −9.12979 9.12979i −0.398837 0.398837i
\(525\) −22.0543 + 4.96892i −0.962530 + 0.216862i
\(526\) 0.171548 0.171548i 0.00747986 0.00747986i
\(527\) 3.99144 + 1.06950i 0.173870 + 0.0465883i
\(528\) −4.54664 4.54664i −0.197867 0.197867i
\(529\) 14.0083 0.609059
\(530\) 23.0057 2.55956i 0.999305 0.111180i
\(531\) 1.32014 + 4.92682i 0.0572891 + 0.213806i
\(532\) 6.52850 0.283047
\(533\) −1.77143 + 1.02274i −0.0767293 + 0.0442997i
\(534\) 9.40782 5.43161i 0.407116 0.235049i
\(535\) 3.27988 + 29.4801i 0.141801 + 1.27453i
\(536\) −9.46427 + 2.53594i −0.408794 + 0.109536i
\(537\) −6.62818 3.82678i −0.286027 0.165138i
\(538\) 15.1003 8.71814i 0.651018 0.375866i
\(539\) 21.1387 + 36.6134i 0.910510 + 1.57705i
\(540\) −12.0730 + 1.34321i −0.519539 + 0.0578026i
\(541\) −5.96873 + 5.96873i −0.256616 + 0.256616i −0.823676 0.567060i \(-0.808081\pi\)
0.567060 + 0.823676i \(0.308081\pi\)
\(542\) −5.34533 + 9.25838i −0.229601 + 0.397681i
\(543\) 0.961390 + 0.257604i 0.0412572 + 0.0110548i
\(544\) 7.03202i 0.301496i
\(545\) −14.7727 + 33.7307i −0.632794 + 1.44487i
\(546\) −7.74409 + 4.47105i −0.331416 + 0.191343i
\(547\) 13.9648 0.597094 0.298547 0.954395i \(-0.403498\pi\)
0.298547 + 0.954395i \(0.403498\pi\)
\(548\) 3.12088 + 11.6473i 0.133317 + 0.497547i
\(549\) 3.05388 3.05388i 0.130336 0.130336i
\(550\) 26.6339 6.00072i 1.13567 0.255872i
\(551\) −5.70925 + 9.88871i −0.243222 + 0.421273i
\(552\) 1.85410 + 6.91961i 0.0789159 + 0.294518i
\(553\) 10.8027 + 18.7109i 0.459378 + 0.795666i
\(554\) −26.2049 −1.11334
\(555\) 13.0373 + 9.30394i 0.553404 + 0.394930i
\(556\) −7.13034 −0.302394
\(557\) 17.7859 + 30.8061i 0.753612 + 1.30529i 0.946061 + 0.323988i \(0.105024\pi\)
−0.192449 + 0.981307i \(0.561643\pi\)
\(558\) −0.245371 0.915736i −0.0103874 0.0387662i
\(559\) −8.37185 + 14.5005i −0.354092 + 0.613305i
\(560\) 6.91512 5.08867i 0.292217 0.215036i
\(561\) −31.9720 + 31.9720i −1.34986 + 1.34986i
\(562\) 2.18238 + 8.14474i 0.0920580 + 0.343565i
\(563\) 18.6702 0.786853 0.393427 0.919356i \(-0.371290\pi\)
0.393427 + 0.919356i \(0.371290\pi\)
\(564\) 6.74524 3.89437i 0.284026 0.163982i
\(565\) 32.0719 12.5356i 1.34927 0.527375i
\(566\) 0.403975i 0.0169803i
\(567\) −5.77542 1.54752i −0.242545 0.0649897i
\(568\) −2.59131 + 4.48828i −0.108729 + 0.188324i
\(569\) −15.6912 + 15.6912i −0.657811 + 0.657811i −0.954862 0.297051i \(-0.903997\pi\)
0.297051 + 0.954862i \(0.403997\pi\)
\(570\) 2.79633 3.49644i 0.117125 0.146450i
\(571\) −3.06630 5.31099i −0.128321 0.222258i 0.794705 0.606995i \(-0.207625\pi\)
−0.923026 + 0.384737i \(0.874292\pi\)
\(572\) 9.35215 5.39947i 0.391033 0.225763i
\(573\) −15.1066 8.72178i −0.631086 0.364357i
\(574\) 3.83586 1.02782i 0.160106 0.0429002i
\(575\) −29.0407 9.04687i −1.21108 0.377281i
\(576\) 1.39718 0.806661i 0.0582157 0.0336109i
\(577\) −19.3777 + 11.1877i −0.806702 + 0.465750i −0.845809 0.533485i \(-0.820882\pi\)
0.0391071 + 0.999235i \(0.487549\pi\)
\(578\) 32.4494 1.34972
\(579\) 1.51815 + 5.66580i 0.0630921 + 0.235463i
\(580\) 1.66045 + 14.9244i 0.0689465 + 0.619703i
\(581\) 41.6754 1.72899
\(582\) −2.65448 2.65448i −0.110032 0.110032i
\(583\) −54.5989 14.6297i −2.26125 0.605901i
\(584\) 2.88594 2.88594i 0.119421 0.119421i
\(585\) 1.07322 7.05342i 0.0443721 0.291623i
\(586\) 13.1951 + 13.1951i 0.545083 + 0.545083i
\(587\) −16.4333 + 28.4633i −0.678276 + 1.17481i 0.297224 + 0.954808i \(0.403939\pi\)
−0.975500 + 0.220000i \(0.929394\pi\)
\(588\) 8.80691 2.35980i 0.363191 0.0973167i
\(589\) 0.865290 + 0.499575i 0.0356536 + 0.0205846i
\(590\) −7.02612 + 0.781708i −0.289261 + 0.0321824i
\(591\) 22.2999i 0.917297i
\(592\) −5.95288 1.25030i −0.244662 0.0513869i
\(593\) 31.0412 + 31.0412i 1.27471 + 1.27471i 0.943589 + 0.331120i \(0.107427\pi\)
0.331120 + 0.943589i \(0.392573\pi\)
\(594\) 28.6525 + 7.67742i 1.17563 + 0.315008i
\(595\) −35.7837 48.6273i −1.46699 1.99352i
\(596\) −13.0967 7.56136i −0.536460 0.309726i
\(597\) 13.2621 + 7.65689i 0.542783 + 0.313376i
\(598\) −12.0313 −0.491997
\(599\) −30.9335 17.8595i −1.26391 0.729718i −0.290080 0.957003i \(-0.593682\pi\)
−0.973828 + 0.227285i \(0.927015\pi\)
\(600\) 0.236604 5.88311i 0.00965933 0.240177i
\(601\) 11.3482 + 19.6557i 0.462904 + 0.801773i 0.999104 0.0423179i \(-0.0134742\pi\)
−0.536201 + 0.844091i \(0.680141\pi\)
\(602\) 22.9859 22.9859i 0.936835 0.936835i
\(603\) 11.1776 11.1776i 0.455188 0.455188i
\(604\) 6.36629 3.67558i 0.259041 0.149557i
\(605\) −41.5929 6.32860i −1.69099 0.257294i
\(606\) 4.15460 + 4.15460i 0.168769 + 0.168769i
\(607\) −15.5550 26.9421i −0.631358 1.09354i −0.987274 0.159027i \(-0.949164\pi\)
0.355916 0.934518i \(-0.384169\pi\)
\(608\) −0.440070 + 1.64236i −0.0178472 + 0.0666066i
\(609\) −7.85880 + 29.3294i −0.318455 + 1.18849i
\(610\) 3.54782 + 4.82122i 0.143647 + 0.195205i
\(611\) 3.38563 + 12.6353i 0.136968 + 0.511171i
\(612\) −5.67246 9.82499i −0.229296 0.397152i
\(613\) 20.4830 + 5.48841i 0.827302 + 0.221675i 0.647536 0.762035i \(-0.275799\pi\)
0.179766 + 0.983709i \(0.442466\pi\)
\(614\) 2.04716 7.64010i 0.0826166 0.308330i
\(615\) 1.09253 2.49460i 0.0440553 0.100592i
\(616\) −20.2511 + 5.42628i −0.815942 + 0.218631i
\(617\) 9.78630 36.5230i 0.393981 1.47036i −0.429527 0.903054i \(-0.641320\pi\)
0.823508 0.567305i \(-0.192014\pi\)
\(618\) −11.6879 11.6879i −0.470155 0.470155i
\(619\) 32.3769 1.30134 0.650670 0.759361i \(-0.274488\pi\)
0.650670 + 0.759361i \(0.274488\pi\)
\(620\) 1.30593 0.145294i 0.0524473 0.00583515i
\(621\) −23.3688 23.3688i −0.937758 0.937758i
\(622\) 1.81269 0.485709i 0.0726822 0.0194751i
\(623\) 35.4208i 1.41911i
\(624\) −0.602764 2.24955i −0.0241299 0.0900540i
\(625\) 20.5769 + 14.1983i 0.823076 + 0.567932i
\(626\) −7.56581 + 13.1044i −0.302391 + 0.523756i
\(627\) −9.46806 + 5.46639i −0.378118 + 0.218306i
\(628\) 15.7857 15.7857i 0.629920 0.629920i
\(629\) −8.79212 + 41.8608i −0.350565 + 1.66910i
\(630\) −5.55682 + 12.6879i −0.221389 + 0.505500i
\(631\) −1.10156 + 4.11109i −0.0438525 + 0.163660i −0.984380 0.176059i \(-0.943665\pi\)
0.940527 + 0.339719i \(0.110332\pi\)
\(632\) −5.43524 + 1.45637i −0.216202 + 0.0579312i
\(633\) −4.58731 17.1201i −0.182329 0.680462i
\(634\) −15.2410 + 4.08381i −0.605296 + 0.162189i
\(635\) 8.87886 + 3.88859i 0.352347 + 0.154314i
\(636\) −6.09509 + 10.5570i −0.241686 + 0.418613i
\(637\) 15.3128i 0.606717i
\(638\) 9.49068 35.4197i 0.375740 1.40228i
\(639\) 8.36124i 0.330766i
\(640\) 0.814017 + 2.08264i 0.0321768 + 0.0823235i
\(641\) 18.3265 + 31.7425i 0.723855 + 1.25375i 0.959444 + 0.281900i \(0.0909647\pi\)
−0.235589 + 0.971853i \(0.575702\pi\)
\(642\) −13.5280 7.81039i −0.533907 0.308251i
\(643\) 3.20122i 0.126244i −0.998006 0.0631219i \(-0.979894\pi\)
0.998006 0.0631219i \(-0.0201057\pi\)
\(644\) 22.5622 + 6.04553i 0.889076 + 0.238227i
\(645\) −2.46501 22.1559i −0.0970596 0.872388i
\(646\) 11.5491 + 3.09458i 0.454395 + 0.121755i
\(647\) 7.58907 13.1446i 0.298357 0.516769i −0.677403 0.735612i \(-0.736895\pi\)
0.975760 + 0.218842i \(0.0702281\pi\)
\(648\) 0.778613 1.34860i 0.0305868 0.0529779i
\(649\) 16.6749 + 4.46803i 0.654547 + 0.175385i
\(650\) 9.44107 + 2.94112i 0.370309 + 0.115360i
\(651\) 2.56641 + 0.687667i 0.100585 + 0.0269518i
\(652\) 0.0432697i 0.00169457i
\(653\) −28.3063 16.3427i −1.10771 0.639538i −0.169477 0.985534i \(-0.554208\pi\)
−0.938236 + 0.345996i \(0.887541\pi\)
\(654\) −9.69621 16.7943i −0.379152 0.656710i
\(655\) −11.5822 + 26.4458i −0.452555 + 1.03332i
\(656\) 1.03426i 0.0403812i
\(657\) −1.70419 + 6.36014i −0.0664869 + 0.248133i
\(658\) 25.3961i 0.990044i
\(659\) −8.99916 + 15.5870i −0.350557 + 0.607183i −0.986347 0.164679i \(-0.947341\pi\)
0.635790 + 0.771862i \(0.280675\pi\)
\(660\) −5.76795 + 13.1700i −0.224517 + 0.512643i
\(661\) −0.342112 + 0.0916686i −0.0133066 + 0.00356549i −0.265466 0.964120i \(-0.585526\pi\)
0.252160 + 0.967686i \(0.418859\pi\)
\(662\) −2.78429 10.3911i −0.108214 0.403862i
\(663\) −15.8189 + 4.23865i −0.614354 + 0.164616i
\(664\) −2.80923 + 10.4842i −0.109019 + 0.406866i
\(665\) −5.31431 13.5965i −0.206080 0.527250i
\(666\) 9.32580 3.05507i 0.361367 0.118381i
\(667\) −28.8881 + 28.8881i −1.11855 + 1.11855i
\(668\) 9.62460 5.55677i 0.372387 0.214998i
\(669\) 13.6611 23.6617i 0.528169 0.914816i
\(670\) 12.9855 + 17.6463i 0.501675 + 0.681738i
\(671\) −3.78320 14.1191i −0.146049 0.545061i
\(672\) 4.52143i 0.174418i
\(673\) −10.0934 + 2.70452i −0.389072 + 0.104252i −0.448052 0.894008i \(-0.647882\pi\)
0.0589796 + 0.998259i \(0.481215\pi\)
\(674\) −9.57389 9.57389i −0.368773 0.368773i
\(675\) 12.6250 + 24.0503i 0.485938 + 0.925696i
\(676\) −9.08864 −0.349563
\(677\) 0.343771 + 0.343771i 0.0132122 + 0.0132122i 0.713682 0.700470i \(-0.247026\pi\)
−0.700470 + 0.713682i \(0.747026\pi\)
\(678\) −4.69348 + 17.5163i −0.180252 + 0.672709i
\(679\) −11.8233 + 3.16805i −0.453737 + 0.121579i
\(680\) 14.6452 5.72418i 0.561616 0.219512i
\(681\) 6.27174 23.4064i 0.240333 0.896937i
\(682\) −3.09932 0.830461i −0.118679 0.0318000i
\(683\) −0.493495 0.854759i −0.0188831 0.0327064i 0.856429 0.516264i \(-0.172678\pi\)
−0.875313 + 0.483558i \(0.839344\pi\)
\(684\) −0.709974 2.64966i −0.0271465 0.101312i
\(685\) 21.7166 15.9807i 0.829749 0.610593i
\(686\) 0.738062 2.75448i 0.0281793 0.105167i
\(687\) 4.01156 14.9713i 0.153050 0.571192i
\(688\) 4.23309 + 7.33194i 0.161385 + 0.279527i
\(689\) −14.4768 14.4768i −0.551520 0.551520i
\(690\) 12.9018 9.49410i 0.491162 0.361434i
\(691\) 29.7528 17.1778i 1.13185 0.653475i 0.187451 0.982274i \(-0.439977\pi\)
0.944400 + 0.328799i \(0.106644\pi\)
\(692\) 8.26636 8.26636i 0.314240 0.314240i
\(693\) 23.9173 23.9173i 0.908542 0.908542i
\(694\) −2.95455 5.11742i −0.112153 0.194255i
\(695\) 5.80421 + 14.8499i 0.220166 + 0.563289i
\(696\) −6.84861 3.95405i −0.259596 0.149878i
\(697\) 7.27296 0.275483
\(698\) 4.07376 + 2.35198i 0.154194 + 0.0890239i
\(699\) 13.8400 + 7.99054i 0.523478 + 0.302230i
\(700\) −16.2269 10.2594i −0.613318 0.387770i
\(701\) 7.67813 + 2.05735i 0.289999 + 0.0777050i 0.400886 0.916128i \(-0.368702\pi\)
−0.110887 + 0.993833i \(0.535369\pi\)
\(702\) 7.59714 + 7.59714i 0.286736 + 0.286736i
\(703\) −4.67312 + 9.22657i −0.176250 + 0.347987i
\(704\) 5.46031i 0.205793i
\(705\) −13.6013 10.8778i −0.512254 0.409682i
\(706\) −12.7692 7.37231i −0.480576 0.277460i
\(707\) 18.5050 4.95839i 0.695951 0.186480i
\(708\) 1.86149 3.22419i 0.0699589 0.121172i
\(709\) −6.97419 6.97419i −0.261921 0.261921i 0.563913 0.825834i \(-0.309295\pi\)
−0.825834 + 0.563913i \(0.809295\pi\)
\(710\) 11.4568 + 1.74322i 0.429967 + 0.0654220i
\(711\) 6.41920 6.41920i 0.240739 0.240739i
\(712\) 8.91075 + 2.38763i 0.333944 + 0.0894802i
\(713\) 2.52779 + 2.52779i 0.0946664 + 0.0946664i
\(714\) 31.7948 1.18989
\(715\) −18.8579 15.0819i −0.705247 0.564030i
\(716\) −1.68218 6.27798i −0.0628660 0.234619i
\(717\) 26.0491 0.972822
\(718\) 6.87280 3.96801i 0.256491 0.148085i
\(719\) 4.88756 2.82183i 0.182275 0.105237i −0.406086 0.913835i \(-0.633107\pi\)
0.588361 + 0.808598i \(0.299773\pi\)
\(720\) −2.81731 2.25318i −0.104995 0.0839710i
\(721\) −52.0588 + 13.9491i −1.93877 + 0.519492i
\(722\) −13.9508 8.05449i −0.519195 0.299757i
\(723\) −14.7704 + 8.52768i −0.549316 + 0.317148i
\(724\) 0.422608 + 0.731979i 0.0157061 + 0.0272038i
\(725\) 29.7305 15.6068i 1.10416 0.579624i
\(726\) 15.6667 15.6667i 0.581445 0.581445i
\(727\) 15.3630 26.6094i 0.569781 0.986890i −0.426806 0.904343i \(-0.640361\pi\)
0.996587 0.0825466i \(-0.0263053\pi\)
\(728\) −7.33493 1.96539i −0.271850 0.0728421i
\(729\) 21.7039i 0.803848i
\(730\) −8.35956 3.66116i −0.309401 0.135505i
\(731\) 51.5583 29.7672i 1.90695 1.10098i
\(732\) −3.15234 −0.116514
\(733\) −0.627808 2.34301i −0.0231886 0.0865411i 0.953362 0.301830i \(-0.0975974\pi\)
−0.976550 + 0.215289i \(0.930931\pi\)
\(734\) −24.6901 + 24.6901i −0.911328 + 0.911328i
\(735\) −12.0836 16.4207i −0.445710 0.605686i
\(736\) −3.04172 + 5.26842i −0.112119 + 0.194197i
\(737\) −13.8470 51.6779i −0.510062 1.90358i
\(738\) −0.834299 1.44505i −0.0307110 0.0531930i
\(739\) −16.1724 −0.594910 −0.297455 0.954736i \(-0.596138\pi\)
−0.297455 + 0.954736i \(0.596138\pi\)
\(740\) 2.24183 + 13.4154i 0.0824111 + 0.493162i
\(741\) −3.95983 −0.145468
\(742\) 19.8738 + 34.4224i 0.729590 + 1.26369i
\(743\) −3.38367 12.6280i −0.124135 0.463277i 0.875673 0.482905i \(-0.160418\pi\)
−0.999807 + 0.0196281i \(0.993752\pi\)
\(744\) −0.345990 + 0.599272i −0.0126846 + 0.0219704i
\(745\) −5.08667 + 33.4307i −0.186361 + 1.22481i
\(746\) 3.54831 3.54831i 0.129913 0.129913i
\(747\) −4.53220 16.9144i −0.165825 0.618866i
\(748\) −38.3970 −1.40393
\(749\) −44.1097 + 25.4667i −1.61173 + 0.930534i
\(750\) −12.4450 + 4.29619i −0.454426 + 0.156875i
\(751\) 34.3572i 1.25371i −0.779136 0.626855i \(-0.784342\pi\)
0.779136 0.626855i \(-0.215658\pi\)
\(752\) 6.38885 + 1.71189i 0.232978 + 0.0624261i
\(753\) −11.5866 + 20.0685i −0.422238 + 0.731338i
\(754\) 9.39145 9.39145i 0.342016 0.342016i
\(755\) −12.8372 10.2667i −0.467192 0.373643i
\(756\) −10.4294 18.0643i −0.379314 0.656991i
\(757\) −9.83235 + 5.67671i −0.357363 + 0.206324i −0.667923 0.744230i \(-0.732817\pi\)
0.310560 + 0.950554i \(0.399483\pi\)
\(758\) −1.97427 1.13985i −0.0717089 0.0414011i
\(759\) −37.7832 + 10.1240i −1.37144 + 0.367477i
\(760\) 3.77867 0.420405i 0.137067 0.0152497i
\(761\) −35.2567 + 20.3554i −1.27805 + 0.737884i −0.976490 0.215562i \(-0.930842\pi\)
−0.301563 + 0.953446i \(0.597508\pi\)
\(762\) −4.42073 + 2.55231i −0.160146 + 0.0924605i
\(763\) −63.2313 −2.28913
\(764\) −3.83392 14.3084i −0.138706 0.517660i
\(765\) −15.8444 + 19.8114i −0.572856 + 0.716282i
\(766\) −26.8444 −0.969928
\(767\) 4.42131 + 4.42131i 0.159644 + 0.159644i
\(768\) −1.13745 0.304778i −0.0410441 0.0109977i
\(769\) −6.70170 + 6.70170i −0.241669 + 0.241669i −0.817541 0.575871i \(-0.804663\pi\)
0.575871 + 0.817541i \(0.304663\pi\)
\(770\) 27.7857 + 37.7587i 1.00133 + 1.36073i
\(771\) 3.97076 + 3.97076i 0.143003 + 0.143003i