Properties

Label 570.2.s.a.521.1
Level $570$
Weight $2$
Character 570.521
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 521.1
Character \(\chi\) \(=\) 570.521
Dual form 570.2.s.a.221.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.62233 - 0.606673i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.33656 - 1.10164i) q^{6} -1.76552 q^{7} +1.00000 q^{8} +(2.26390 + 1.96845i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.62233 - 0.606673i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.33656 - 1.10164i) q^{6} -1.76552 q^{7} +1.00000 q^{8} +(2.26390 + 1.96845i) q^{9} +(-0.866025 + 0.500000i) q^{10} -3.02678i q^{11} +(0.285770 + 1.70831i) q^{12} +(-3.25407 + 1.87874i) q^{13} +(0.882761 - 1.52899i) q^{14} +(-1.10164 - 1.33656i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.76712 + 1.59760i) q^{17} +(-2.83667 + 0.976368i) q^{18} +(4.29047 + 0.769325i) q^{19} -1.00000i q^{20} +(2.86426 + 1.07109i) q^{21} +(2.62126 + 1.51339i) q^{22} +(-0.844837 + 0.487767i) q^{23} +(-1.62233 - 0.606673i) q^{24} +(0.500000 + 0.866025i) q^{25} -3.75748i q^{26} +(-2.47858 - 4.56691i) q^{27} +(0.882761 + 1.52899i) q^{28} +(3.19725 + 5.53779i) q^{29} +(1.70831 - 0.285770i) q^{30} +7.64334i q^{31} +(-0.500000 - 0.866025i) q^{32} +(-1.83626 + 4.91042i) q^{33} +(-2.76712 + 1.59760i) q^{34} +(-1.52899 - 0.882761i) q^{35} +(0.572776 - 2.94481i) q^{36} +8.22349i q^{37} +(-2.81149 + 3.33099i) q^{38} +(6.41896 - 1.07377i) q^{39} +(0.866025 + 0.500000i) q^{40} +(-0.0664620 + 0.115116i) q^{41} +(-2.35972 + 1.94497i) q^{42} +(-4.92098 + 8.52339i) q^{43} +(-2.62126 + 1.51339i) q^{44} +(0.976368 + 2.83667i) q^{45} -0.975534i q^{46} +(7.38774 - 4.26531i) q^{47} +(1.33656 - 1.10164i) q^{48} -3.88293 q^{49} -1.00000 q^{50} +(-3.51996 - 4.27057i) q^{51} +(3.25407 + 1.87874i) q^{52} +(5.92218 + 10.2575i) q^{53} +(5.19435 + 0.136943i) q^{54} +(1.51339 - 2.62126i) q^{55} -1.76552 q^{56} +(-6.49382 - 3.85101i) q^{57} -6.39449 q^{58} +(-3.82758 + 6.62956i) q^{59} +(-0.606673 + 1.62233i) q^{60} +(-1.00006 - 1.73216i) q^{61} +(-6.61932 - 3.82167i) q^{62} +(-3.99696 - 3.47533i) q^{63} +1.00000 q^{64} -3.75748 q^{65} +(-3.33442 - 4.04546i) q^{66} +(0.649931 - 0.375238i) q^{67} -3.19520i q^{68} +(1.66652 - 0.278778i) q^{69} +(1.52899 - 0.882761i) q^{70} +(8.14418 - 14.1061i) q^{71} +(2.26390 + 1.96845i) q^{72} +(0.477929 - 0.827798i) q^{73} +(-7.12175 - 4.11174i) q^{74} +(-0.285770 - 1.70831i) q^{75} +(-1.47898 - 4.10032i) q^{76} +5.34384i q^{77} +(-2.27956 + 6.09587i) q^{78} +(2.26576 + 1.30814i) q^{79} +(-0.866025 + 0.500000i) q^{80} +(1.25044 + 8.91271i) q^{81} +(-0.0664620 - 0.115116i) q^{82} +4.67129i q^{83} +(-0.504532 - 3.01607i) q^{84} +(1.59760 + 2.76712i) q^{85} +(-4.92098 - 8.52339i) q^{86} +(-1.82735 - 10.9238i) q^{87} -3.02678i q^{88} +(4.36131 + 7.55401i) q^{89} +(-2.94481 - 0.572776i) q^{90} +(5.74514 - 3.31696i) q^{91} +(0.844837 + 0.487767i) q^{92} +(4.63701 - 12.4000i) q^{93} +8.53062i q^{94} +(3.33099 + 2.81149i) q^{95} +(0.285770 + 1.70831i) q^{96} +(-12.4237 - 7.17285i) q^{97} +(1.94147 - 3.36272i) q^{98} +(5.95804 - 6.85230i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} + O(q^{10}) \) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} - 2q^{12} + 18q^{13} + 6q^{14} - 12q^{16} + 12q^{17} + 2q^{18} + 6q^{19} - 6q^{21} + 18q^{22} + 4q^{24} + 12q^{25} + 28q^{27} + 6q^{28} - 12q^{32} - 22q^{33} - 12q^{34} + 2q^{36} + 6q^{38} + 40q^{39} + 6q^{41} - 6q^{42} - 22q^{43} - 18q^{44} + 8q^{45} + 12q^{47} - 2q^{48} + 12q^{49} - 24q^{50} - 20q^{51} - 18q^{52} + 8q^{53} + 4q^{54} - 12q^{56} + 26q^{59} + 22q^{61} - 18q^{62} + 6q^{63} + 24q^{64} + 8q^{65} + 8q^{66} - 48q^{67} - 64q^{69} + 24q^{71} - 4q^{72} - 8q^{73} + 30q^{74} + 2q^{75} - 12q^{76} - 38q^{78} + 18q^{79} - 12q^{81} + 6q^{82} + 12q^{84} - 22q^{86} - 24q^{87} + 28q^{89} + 8q^{90} + 18q^{91} + 2q^{93} - 2q^{96} + 6q^{97} - 6q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −1.62233 0.606673i −0.936651 0.350263i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 1.33656 1.10164i 0.545648 0.449743i
\(7\) −1.76552 −0.667305 −0.333652 0.942696i \(-0.608281\pi\)
−0.333652 + 0.942696i \(0.608281\pi\)
\(8\) 1.00000 0.353553
\(9\) 2.26390 + 1.96845i 0.754632 + 0.656148i
\(10\) −0.866025 + 0.500000i −0.273861 + 0.158114i
\(11\) 3.02678i 0.912607i −0.889824 0.456304i \(-0.849173\pi\)
0.889824 0.456304i \(-0.150827\pi\)
\(12\) 0.285770 + 1.70831i 0.0824946 + 0.493148i
\(13\) −3.25407 + 1.87874i −0.902518 + 0.521069i −0.878016 0.478631i \(-0.841133\pi\)
−0.0245016 + 0.999700i \(0.507800\pi\)
\(14\) 0.882761 1.52899i 0.235928 0.408639i
\(15\) −1.10164 1.33656i −0.284442 0.345098i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.76712 + 1.59760i 0.671126 + 0.387475i 0.796503 0.604634i \(-0.206681\pi\)
−0.125377 + 0.992109i \(0.540014\pi\)
\(18\) −2.83667 + 0.976368i −0.668610 + 0.230132i
\(19\) 4.29047 + 0.769325i 0.984301 + 0.176495i
\(20\) 1.00000i 0.223607i
\(21\) 2.86426 + 1.07109i 0.625032 + 0.233732i
\(22\) 2.62126 + 1.51339i 0.558855 + 0.322655i
\(23\) −0.844837 + 0.487767i −0.176161 + 0.101706i −0.585488 0.810681i \(-0.699097\pi\)
0.409327 + 0.912388i \(0.365764\pi\)
\(24\) −1.62233 0.606673i −0.331156 0.123837i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 3.75748i 0.736903i
\(27\) −2.47858 4.56691i −0.477002 0.878902i
\(28\) 0.882761 + 1.52899i 0.166826 + 0.288951i
\(29\) 3.19725 + 5.53779i 0.593714 + 1.02834i 0.993727 + 0.111833i \(0.0356721\pi\)
−0.400014 + 0.916509i \(0.630995\pi\)
\(30\) 1.70831 0.285770i 0.311894 0.0521741i
\(31\) 7.64334i 1.37278i 0.727232 + 0.686392i \(0.240806\pi\)
−0.727232 + 0.686392i \(0.759194\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −1.83626 + 4.91042i −0.319652 + 0.854795i
\(34\) −2.76712 + 1.59760i −0.474558 + 0.273986i
\(35\) −1.52899 0.882761i −0.258446 0.149214i
\(36\) 0.572776 2.94481i 0.0954627 0.490802i
\(37\) 8.22349i 1.35193i 0.736932 + 0.675966i \(0.236274\pi\)
−0.736932 + 0.675966i \(0.763726\pi\)
\(38\) −2.81149 + 3.33099i −0.456084 + 0.540359i
\(39\) 6.41896 1.07377i 1.02786 0.171941i
\(40\) 0.866025 + 0.500000i 0.136931 + 0.0790569i
\(41\) −0.0664620 + 0.115116i −0.0103796 + 0.0179780i −0.871169 0.490984i \(-0.836637\pi\)
0.860789 + 0.508962i \(0.169971\pi\)
\(42\) −2.35972 + 1.94497i −0.364113 + 0.300115i
\(43\) −4.92098 + 8.52339i −0.750443 + 1.29981i 0.197165 + 0.980370i \(0.436826\pi\)
−0.947608 + 0.319435i \(0.896507\pi\)
\(44\) −2.62126 + 1.51339i −0.395170 + 0.228152i
\(45\) 0.976368 + 2.83667i 0.145548 + 0.422866i
\(46\) 0.975534i 0.143835i
\(47\) 7.38774 4.26531i 1.07761 0.622160i 0.147361 0.989083i \(-0.452922\pi\)
0.930251 + 0.366923i \(0.119589\pi\)
\(48\) 1.33656 1.10164i 0.192916 0.159008i
\(49\) −3.88293 −0.554705
\(50\) −1.00000 −0.141421
\(51\) −3.51996 4.27057i −0.492893 0.597999i
\(52\) 3.25407 + 1.87874i 0.451259 + 0.260534i
\(53\) 5.92218 + 10.2575i 0.813474 + 1.40898i 0.910418 + 0.413689i \(0.135760\pi\)
−0.0969441 + 0.995290i \(0.530907\pi\)
\(54\) 5.19435 + 0.136943i 0.706861 + 0.0186356i
\(55\) 1.51339 2.62126i 0.204065 0.353451i
\(56\) −1.76552 −0.235928
\(57\) −6.49382 3.85101i −0.860128 0.510079i
\(58\) −6.39449 −0.839638
\(59\) −3.82758 + 6.62956i −0.498308 + 0.863095i −0.999998 0.00195269i \(-0.999378\pi\)
0.501690 + 0.865047i \(0.332712\pi\)
\(60\) −0.606673 + 1.62233i −0.0783212 + 0.209442i
\(61\) −1.00006 1.73216i −0.128045 0.221780i 0.794874 0.606774i \(-0.207537\pi\)
−0.922919 + 0.384994i \(0.874204\pi\)
\(62\) −6.61932 3.82167i −0.840655 0.485352i
\(63\) −3.99696 3.47533i −0.503569 0.437851i
\(64\) 1.00000 0.125000
\(65\) −3.75748 −0.466058
\(66\) −3.33442 4.04546i −0.410439 0.497962i
\(67\) 0.649931 0.375238i 0.0794017 0.0458426i −0.459773 0.888036i \(-0.652069\pi\)
0.539175 + 0.842194i \(0.318736\pi\)
\(68\) 3.19520i 0.387475i
\(69\) 1.66652 0.278778i 0.200625 0.0335609i
\(70\) 1.52899 0.882761i 0.182749 0.105510i
\(71\) 8.14418 14.1061i 0.966536 1.67409i 0.261106 0.965310i \(-0.415913\pi\)
0.705430 0.708779i \(-0.250754\pi\)
\(72\) 2.26390 + 1.96845i 0.266803 + 0.231984i
\(73\) 0.477929 0.827798i 0.0559374 0.0968864i −0.836701 0.547660i \(-0.815519\pi\)
0.892638 + 0.450774i \(0.148852\pi\)
\(74\) −7.12175 4.11174i −0.827886 0.477980i
\(75\) −0.285770 1.70831i −0.0329978 0.197259i
\(76\) −1.47898 4.10032i −0.169651 0.470339i
\(77\) 5.34384i 0.608987i
\(78\) −2.27956 + 6.09587i −0.258110 + 0.690221i
\(79\) 2.26576 + 1.30814i 0.254918 + 0.147177i 0.622014 0.783006i \(-0.286315\pi\)
−0.367096 + 0.930183i \(0.619648\pi\)
\(80\) −0.866025 + 0.500000i −0.0968246 + 0.0559017i
\(81\) 1.25044 + 8.91271i 0.138938 + 0.990301i
\(82\) −0.0664620 0.115116i −0.00733950 0.0127124i
\(83\) 4.67129i 0.512741i 0.966579 + 0.256370i \(0.0825267\pi\)
−0.966579 + 0.256370i \(0.917473\pi\)
\(84\) −0.504532 3.01607i −0.0550490 0.329080i
\(85\) 1.59760 + 2.76712i 0.173284 + 0.300137i
\(86\) −4.92098 8.52339i −0.530643 0.919101i
\(87\) −1.82735 10.9238i −0.195913 1.17115i
\(88\) 3.02678i 0.322655i
\(89\) 4.36131 + 7.55401i 0.462298 + 0.800724i 0.999075 0.0430003i \(-0.0136917\pi\)
−0.536777 + 0.843724i \(0.680358\pi\)
\(90\) −2.94481 0.572776i −0.310411 0.0603759i
\(91\) 5.74514 3.31696i 0.602254 0.347712i
\(92\) 0.844837 + 0.487767i 0.0880803 + 0.0508532i
\(93\) 4.63701 12.4000i 0.480835 1.28582i
\(94\) 8.53062i 0.879867i
\(95\) 3.33099 + 2.81149i 0.341753 + 0.288453i
\(96\) 0.285770 + 1.70831i 0.0291662 + 0.174354i
\(97\) −12.4237 7.17285i −1.26144 0.728292i −0.288087 0.957604i \(-0.593019\pi\)
−0.973353 + 0.229312i \(0.926352\pi\)
\(98\) 1.94147 3.36272i 0.196118 0.339686i
\(99\) 5.95804 6.85230i 0.598806 0.688682i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) 13.7972 7.96584i 1.37288 0.792630i 0.381587 0.924333i \(-0.375378\pi\)
0.991289 + 0.131703i \(0.0420444\pi\)
\(102\) 5.45840 0.913090i 0.540462 0.0904094i
\(103\) 6.24459i 0.615298i −0.951500 0.307649i \(-0.900458\pi\)
0.951500 0.307649i \(-0.0995422\pi\)
\(104\) −3.25407 + 1.87874i −0.319088 + 0.184226i
\(105\) 1.94497 + 2.35972i 0.189810 + 0.230285i
\(106\) −11.8444 −1.15043
\(107\) −2.50860 −0.242516 −0.121258 0.992621i \(-0.538693\pi\)
−0.121258 + 0.992621i \(0.538693\pi\)
\(108\) −2.71577 + 4.42997i −0.261325 + 0.426274i
\(109\) −0.194529 0.112311i −0.0186325 0.0107575i 0.490655 0.871354i \(-0.336758\pi\)
−0.509287 + 0.860597i \(0.670091\pi\)
\(110\) 1.51339 + 2.62126i 0.144296 + 0.249928i
\(111\) 4.98897 13.3412i 0.473532 1.26629i
\(112\) 0.882761 1.52899i 0.0834131 0.144476i
\(113\) −12.6900 −1.19377 −0.596887 0.802326i \(-0.703596\pi\)
−0.596887 + 0.802326i \(0.703596\pi\)
\(114\) 6.58198 3.69831i 0.616459 0.346378i
\(115\) −0.975534 −0.0909690
\(116\) 3.19725 5.53779i 0.296857 0.514171i
\(117\) −11.0651 2.15220i −1.02297 0.198971i
\(118\) −3.82758 6.62956i −0.352357 0.610300i
\(119\) −4.88542 2.82060i −0.447845 0.258564i
\(120\) −1.10164 1.33656i −0.100566 0.122011i
\(121\) 1.83863 0.167148
\(122\) 2.00013 0.181083
\(123\) 0.177661 0.146435i 0.0160191 0.0132036i
\(124\) 6.61932 3.82167i 0.594433 0.343196i
\(125\) 1.00000i 0.0894427i
\(126\) 5.00821 1.72380i 0.446166 0.153568i
\(127\) 3.90891 2.25681i 0.346860 0.200260i −0.316442 0.948612i \(-0.602488\pi\)
0.663301 + 0.748352i \(0.269155\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 13.1544 10.8423i 1.15818 0.954612i
\(130\) 1.87874 3.25407i 0.164776 0.285401i
\(131\) 3.84003 + 2.21704i 0.335505 + 0.193704i 0.658282 0.752771i \(-0.271283\pi\)
−0.322778 + 0.946475i \(0.604617\pi\)
\(132\) 5.17068 0.864960i 0.450050 0.0752851i
\(133\) −7.57492 1.35826i −0.656829 0.117776i
\(134\) 0.750475i 0.0648312i
\(135\) 0.136943 5.19435i 0.0117862 0.447058i
\(136\) 2.76712 + 1.59760i 0.237279 + 0.136993i
\(137\) 12.7182 7.34284i 1.08659 0.627341i 0.153921 0.988083i \(-0.450810\pi\)
0.932666 + 0.360742i \(0.117476\pi\)
\(138\) −0.591830 + 1.58264i −0.0503799 + 0.134723i
\(139\) −9.42690 16.3279i −0.799579 1.38491i −0.919890 0.392176i \(-0.871722\pi\)
0.120311 0.992736i \(-0.461611\pi\)
\(140\) 1.76552i 0.149214i
\(141\) −14.5730 + 2.43779i −1.22727 + 0.205299i
\(142\) 8.14418 + 14.1061i 0.683444 + 1.18376i
\(143\) 5.68653 + 9.84935i 0.475531 + 0.823644i
\(144\) −2.83667 + 0.976368i −0.236389 + 0.0813640i
\(145\) 6.39449i 0.531033i
\(146\) 0.477929 + 0.827798i 0.0395537 + 0.0685090i
\(147\) 6.29939 + 2.35567i 0.519565 + 0.194292i
\(148\) 7.12175 4.11174i 0.585404 0.337983i
\(149\) −2.37618 1.37189i −0.194664 0.112390i 0.399500 0.916733i \(-0.369184\pi\)
−0.594164 + 0.804344i \(0.702517\pi\)
\(150\) 1.62233 + 0.606673i 0.132463 + 0.0495347i
\(151\) 22.7604i 1.85221i 0.377263 + 0.926106i \(0.376865\pi\)
−0.377263 + 0.926106i \(0.623135\pi\)
\(152\) 4.29047 + 0.769325i 0.348003 + 0.0624005i
\(153\) 3.11969 + 9.06373i 0.252212 + 0.732759i
\(154\) −4.62790 2.67192i −0.372927 0.215309i
\(155\) −3.82167 + 6.61932i −0.306964 + 0.531677i
\(156\) −4.13939 5.02209i −0.331417 0.402089i
\(157\) 4.01105 6.94734i 0.320117 0.554458i −0.660395 0.750918i \(-0.729611\pi\)
0.980512 + 0.196460i \(0.0629446\pi\)
\(158\) −2.26576 + 1.30814i −0.180254 + 0.104070i
\(159\) −3.38476 20.2339i −0.268429 1.60465i
\(160\) 1.00000i 0.0790569i
\(161\) 1.49158 0.861163i 0.117553 0.0678692i
\(162\) −8.34386 3.37344i −0.655555 0.265042i
\(163\) −3.70552 −0.290239 −0.145119 0.989414i \(-0.546357\pi\)
−0.145119 + 0.989414i \(0.546357\pi\)
\(164\) 0.132924 0.0103796
\(165\) −4.04546 + 3.33442i −0.314939 + 0.259584i
\(166\) −4.04546 2.33564i −0.313988 0.181281i
\(167\) −0.0687715 0.119116i −0.00532170 0.00921746i 0.863352 0.504602i \(-0.168361\pi\)
−0.868674 + 0.495384i \(0.835027\pi\)
\(168\) 2.86426 + 1.07109i 0.220982 + 0.0826368i
\(169\) 0.559332 0.968791i 0.0430255 0.0745224i
\(170\) −3.19520 −0.245061
\(171\) 8.19880 + 10.1872i 0.626978 + 0.779037i
\(172\) 9.84197 0.750443
\(173\) −1.62087 + 2.80743i −0.123232 + 0.213445i −0.921041 0.389467i \(-0.872659\pi\)
0.797808 + 0.602911i \(0.205993\pi\)
\(174\) 10.3740 + 3.87937i 0.786448 + 0.294094i
\(175\) −0.882761 1.52899i −0.0667305 0.115581i
\(176\) 2.62126 + 1.51339i 0.197585 + 0.114076i
\(177\) 10.2316 8.43323i 0.769051 0.633880i
\(178\) −8.72262 −0.653788
\(179\) −18.0338 −1.34791 −0.673954 0.738773i \(-0.735406\pi\)
−0.673954 + 0.738773i \(0.735406\pi\)
\(180\) 1.96845 2.26390i 0.146719 0.168741i
\(181\) 9.17503 5.29721i 0.681974 0.393738i −0.118624 0.992939i \(-0.537848\pi\)
0.800599 + 0.599201i \(0.204515\pi\)
\(182\) 6.63392i 0.491739i
\(183\) 0.571575 + 3.41684i 0.0422521 + 0.252580i
\(184\) −0.844837 + 0.487767i −0.0622822 + 0.0359586i
\(185\) −4.11174 + 7.12175i −0.302301 + 0.523601i
\(186\) 8.42021 + 10.2158i 0.617400 + 0.749056i
\(187\) 4.83557 8.37546i 0.353612 0.612474i
\(188\) −7.38774 4.26531i −0.538806 0.311080i
\(189\) 4.37598 + 8.06298i 0.318306 + 0.586495i
\(190\) −4.10032 + 1.47898i −0.297468 + 0.107297i
\(191\) 5.83776i 0.422406i 0.977442 + 0.211203i \(0.0677380\pi\)
−0.977442 + 0.211203i \(0.932262\pi\)
\(192\) −1.62233 0.606673i −0.117081 0.0437829i
\(193\) 12.2299 + 7.06095i 0.880329 + 0.508258i 0.870767 0.491696i \(-0.163623\pi\)
0.00956246 + 0.999954i \(0.496956\pi\)
\(194\) 12.4237 7.17285i 0.891973 0.514981i
\(195\) 6.09587 + 2.27956i 0.436534 + 0.163243i
\(196\) 1.94147 + 3.36272i 0.138676 + 0.240194i
\(197\) 0.287064i 0.0204525i −0.999948 0.0102262i \(-0.996745\pi\)
0.999948 0.0102262i \(-0.00325517\pi\)
\(198\) 2.95525 + 8.58597i 0.210020 + 0.610178i
\(199\) 9.44058 + 16.3516i 0.669225 + 1.15913i 0.978121 + 0.208036i \(0.0667071\pi\)
−0.308896 + 0.951096i \(0.599960\pi\)
\(200\) 0.500000 + 0.866025i 0.0353553 + 0.0612372i
\(201\) −1.28205 + 0.214463i −0.0904287 + 0.0151271i
\(202\) 15.9317i 1.12095i
\(203\) −5.64481 9.77709i −0.396188 0.686217i
\(204\) −1.93844 + 5.18366i −0.135718 + 0.362929i
\(205\) −0.115116 + 0.0664620i −0.00804002 + 0.00464191i
\(206\) 5.40798 + 3.12230i 0.376791 + 0.217541i
\(207\) −2.87276 0.558762i −0.199671 0.0388367i
\(208\) 3.75748i 0.260534i
\(209\) 2.32857 12.9863i 0.161071 0.898281i
\(210\) −3.01607 + 0.504532i −0.208128 + 0.0348160i
\(211\) −16.5023 9.52758i −1.13606 0.655906i −0.190610 0.981666i \(-0.561047\pi\)
−0.945453 + 0.325760i \(0.894380\pi\)
\(212\) 5.92218 10.2575i 0.406737 0.704489i
\(213\) −21.7703 + 17.9439i −1.49168 + 1.22950i
\(214\) 1.25430 2.17252i 0.0857423 0.148510i
\(215\) −8.52339 + 4.92098i −0.581291 + 0.335608i
\(216\) −2.47858 4.56691i −0.168646 0.310739i
\(217\) 13.4945i 0.916065i
\(218\) 0.194529 0.112311i 0.0131751 0.00760667i
\(219\) −1.27756 + 1.05301i −0.0863295 + 0.0711560i
\(220\) −3.02678 −0.204065
\(221\) −12.0059 −0.807604
\(222\) 9.05933 + 10.9912i 0.608022 + 0.737679i
\(223\) −1.45190 0.838252i −0.0972261 0.0561335i 0.450599 0.892727i \(-0.351211\pi\)
−0.547825 + 0.836593i \(0.684544\pi\)
\(224\) 0.882761 + 1.52899i 0.0589820 + 0.102160i
\(225\) −0.572776 + 2.94481i −0.0381851 + 0.196321i
\(226\) 6.34499 10.9898i 0.422063 0.731034i
\(227\) −11.2504 −0.746714 −0.373357 0.927688i \(-0.621793\pi\)
−0.373357 + 0.927688i \(0.621793\pi\)
\(228\) −0.0881621 + 7.54932i −0.00583868 + 0.499966i
\(229\) −22.6516 −1.49686 −0.748431 0.663213i \(-0.769192\pi\)
−0.748431 + 0.663213i \(0.769192\pi\)
\(230\) 0.487767 0.844837i 0.0321624 0.0557069i
\(231\) 3.24196 8.66946i 0.213306 0.570408i
\(232\) 3.19725 + 5.53779i 0.209909 + 0.363574i
\(233\) 9.24441 + 5.33726i 0.605622 + 0.349656i 0.771250 0.636532i \(-0.219632\pi\)
−0.165628 + 0.986188i \(0.552965\pi\)
\(234\) 7.39640 8.50654i 0.483518 0.556090i
\(235\) 8.53062 0.556477
\(236\) 7.65515 0.498308
\(237\) −2.88219 3.49680i −0.187218 0.227142i
\(238\) 4.88542 2.82060i 0.316674 0.182832i
\(239\) 21.9874i 1.42225i −0.703066 0.711124i \(-0.748186\pi\)
0.703066 0.711124i \(-0.251814\pi\)
\(240\) 1.70831 0.285770i 0.110271 0.0184463i
\(241\) 1.68423 0.972389i 0.108491 0.0626371i −0.444773 0.895643i \(-0.646716\pi\)
0.553263 + 0.833006i \(0.313382\pi\)
\(242\) −0.919316 + 1.59230i −0.0590958 + 0.102357i
\(243\) 3.37847 15.2179i 0.216729 0.976232i
\(244\) −1.00006 + 1.73216i −0.0640225 + 0.110890i
\(245\) −3.36272 1.94147i −0.214836 0.124036i
\(246\) 0.0379857 + 0.227076i 0.00242188 + 0.0144778i
\(247\) −15.4069 + 5.55724i −0.980316 + 0.353599i
\(248\) 7.64334i 0.485352i
\(249\) 2.83395 7.57836i 0.179594 0.480259i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) −23.4450 + 13.5360i −1.47983 + 0.854383i −0.999739 0.0228337i \(-0.992731\pi\)
−0.480095 + 0.877216i \(0.659398\pi\)
\(252\) −1.01125 + 5.19913i −0.0637027 + 0.327515i
\(253\) 1.47636 + 2.55713i 0.0928180 + 0.160765i
\(254\) 4.51362i 0.283210i
\(255\) −0.913090 5.45840i −0.0571799 0.341818i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −12.4732 21.6042i −0.778057 1.34764i −0.933060 0.359721i \(-0.882872\pi\)
0.155002 0.987914i \(-0.450461\pi\)
\(258\) 2.81253 + 16.8132i 0.175101 + 1.04674i
\(259\) 14.5187i 0.902151i
\(260\) 1.87874 + 3.25407i 0.116515 + 0.201809i
\(261\) −3.66261 + 18.8306i −0.226710 + 1.16558i
\(262\) −3.84003 + 2.21704i −0.237238 + 0.136969i
\(263\) −1.88439 1.08795i −0.116196 0.0670860i 0.440775 0.897617i \(-0.354704\pi\)
−0.556972 + 0.830531i \(0.688037\pi\)
\(264\) −1.83626 + 4.91042i −0.113014 + 0.302216i
\(265\) 11.8444i 0.727593i
\(266\) 4.96375 5.88094i 0.304347 0.360584i
\(267\) −2.49266 14.9010i −0.152548 0.911925i
\(268\) −0.649931 0.375238i −0.0397008 0.0229213i
\(269\) −16.1461 + 27.9659i −0.984447 + 1.70511i −0.340079 + 0.940397i \(0.610454\pi\)
−0.644368 + 0.764715i \(0.722880\pi\)
\(270\) 4.42997 + 2.71577i 0.269599 + 0.165276i
\(271\) 1.71811 2.97585i 0.104368 0.180770i −0.809112 0.587654i \(-0.800052\pi\)
0.913480 + 0.406884i \(0.133385\pi\)
\(272\) −2.76712 + 1.59760i −0.167781 + 0.0968687i
\(273\) −11.3328 + 1.89577i −0.685893 + 0.114737i
\(274\) 14.6857i 0.887194i
\(275\) 2.62126 1.51339i 0.158068 0.0912607i
\(276\) −1.07469 1.30386i −0.0646886 0.0784830i
\(277\) 10.6992 0.642854 0.321427 0.946934i \(-0.395838\pi\)
0.321427 + 0.946934i \(0.395838\pi\)
\(278\) 18.8538 1.13078
\(279\) −15.0455 + 17.3037i −0.900750 + 1.03595i
\(280\) −1.52899 0.882761i −0.0913744 0.0527551i
\(281\) 5.77482 + 10.0023i 0.344497 + 0.596687i 0.985262 0.171050i \(-0.0547161\pi\)
−0.640765 + 0.767737i \(0.721383\pi\)
\(282\) 5.17530 13.8395i 0.308185 0.824128i
\(283\) −1.20364 + 2.08476i −0.0715488 + 0.123926i −0.899580 0.436755i \(-0.856128\pi\)
0.828031 + 0.560682i \(0.189461\pi\)
\(284\) −16.2884 −0.966536
\(285\) −3.69831 6.58198i −0.219069 0.389883i
\(286\) −11.3731 −0.672503
\(287\) 0.117340 0.203239i 0.00692637 0.0119968i
\(288\) 0.572776 2.94481i 0.0337512 0.173525i
\(289\) −3.39535 5.88093i −0.199727 0.345937i
\(290\) −5.53779 3.19725i −0.325190 0.187749i
\(291\) 15.8038 + 19.1739i 0.926435 + 1.12399i
\(292\) −0.955858 −0.0559374
\(293\) 12.2680 0.716707 0.358353 0.933586i \(-0.383338\pi\)
0.358353 + 0.933586i \(0.383338\pi\)
\(294\) −5.18976 + 4.27760i −0.302673 + 0.249474i
\(295\) −6.62956 + 3.82758i −0.385988 + 0.222850i
\(296\) 8.22349i 0.477980i
\(297\) −13.8230 + 7.50210i −0.802092 + 0.435316i
\(298\) 2.37618 1.37189i 0.137649 0.0794714i
\(299\) 1.83277 3.17446i 0.105992 0.183584i
\(300\) −1.33656 + 1.10164i −0.0771662 + 0.0636032i
\(301\) 8.68810 15.0482i 0.500774 0.867366i
\(302\) −19.7111 11.3802i −1.13424 0.654856i
\(303\) −27.2163 + 4.55279i −1.56354 + 0.261551i
\(304\) −2.81149 + 3.33099i −0.161250 + 0.191046i
\(305\) 2.00013i 0.114527i
\(306\) −9.40926 1.83013i −0.537892 0.104622i
\(307\) 18.5689 + 10.7208i 1.05978 + 0.611866i 0.925372 0.379060i \(-0.123753\pi\)
0.134410 + 0.990926i \(0.457086\pi\)
\(308\) 4.62790 2.67192i 0.263699 0.152247i
\(309\) −3.78843 + 10.1308i −0.215516 + 0.576320i
\(310\) −3.82167 6.61932i −0.217056 0.375952i
\(311\) 2.40119i 0.136159i −0.997680 0.0680795i \(-0.978313\pi\)
0.997680 0.0680795i \(-0.0216872\pi\)
\(312\) 6.41896 1.07377i 0.363402 0.0607905i
\(313\) 3.85122 + 6.67052i 0.217684 + 0.377040i 0.954100 0.299490i \(-0.0968164\pi\)
−0.736415 + 0.676530i \(0.763483\pi\)
\(314\) 4.01105 + 6.94734i 0.226357 + 0.392061i
\(315\) −1.72380 5.00821i −0.0971251 0.282180i
\(316\) 2.61627i 0.147177i
\(317\) 10.1993 + 17.6656i 0.572848 + 0.992201i 0.996272 + 0.0862698i \(0.0274947\pi\)
−0.423424 + 0.905932i \(0.639172\pi\)
\(318\) 19.2154 + 7.18566i 1.07755 + 0.402952i
\(319\) 16.7616 9.67734i 0.938472 0.541827i
\(320\) 0.866025 + 0.500000i 0.0484123 + 0.0279508i
\(321\) 4.06978 + 1.52190i 0.227153 + 0.0849443i
\(322\) 1.72233i 0.0959815i
\(323\) 10.6432 + 8.98327i 0.592203 + 0.499842i
\(324\) 7.09341 5.53927i 0.394078 0.307737i
\(325\) −3.25407 1.87874i −0.180504 0.104214i
\(326\) 1.85276 3.20908i 0.102615 0.177734i
\(327\) 0.247453 + 0.300221i 0.0136842 + 0.0166023i
\(328\) −0.0664620 + 0.115116i −0.00366975 + 0.00635620i
\(329\) −13.0432 + 7.53050i −0.719096 + 0.415170i
\(330\) −0.864960 5.17068i −0.0476145 0.284637i
\(331\) 25.4526i 1.39900i 0.714631 + 0.699502i \(0.246595\pi\)
−0.714631 + 0.699502i \(0.753405\pi\)
\(332\) 4.04546 2.33564i 0.222023 0.128185i
\(333\) −16.1875 + 18.6171i −0.887069 + 1.02021i
\(334\) 0.137543 0.00752602
\(335\) 0.750475 0.0410029
\(336\) −2.35972 + 1.94497i −0.128733 + 0.106107i
\(337\) 14.8031 + 8.54657i 0.806376 + 0.465561i 0.845696 0.533665i \(-0.179186\pi\)
−0.0393200 + 0.999227i \(0.512519\pi\)
\(338\) 0.559332 + 0.968791i 0.0304236 + 0.0526953i
\(339\) 20.5873 + 7.69867i 1.11815 + 0.418134i
\(340\) 1.59760 2.76712i 0.0866420 0.150068i
\(341\) 23.1347 1.25281
\(342\) −12.9218 + 2.00676i −0.698731 + 0.108513i
\(343\) 19.2141 1.03746
\(344\) −4.92098 + 8.52339i −0.265322 + 0.459551i
\(345\) 1.58264 + 0.591830i 0.0852062 + 0.0318631i
\(346\) −1.62087 2.80743i −0.0871384 0.150928i
\(347\) 0.366418 + 0.211552i 0.0196703 + 0.0113567i 0.509803 0.860291i \(-0.329718\pi\)
−0.490133 + 0.871648i \(0.663052\pi\)
\(348\) −8.54661 + 7.04443i −0.458146 + 0.377621i
\(349\) −29.6588 −1.58760 −0.793799 0.608180i \(-0.791900\pi\)
−0.793799 + 0.608180i \(0.791900\pi\)
\(350\) 1.76552 0.0943711
\(351\) 16.6455 + 10.2045i 0.888472 + 0.544673i
\(352\) −2.62126 + 1.51339i −0.139714 + 0.0806638i
\(353\) 29.5091i 1.57061i −0.619110 0.785304i \(-0.712506\pi\)
0.619110 0.785304i \(-0.287494\pi\)
\(354\) 2.18761 + 13.0774i 0.116270 + 0.695056i
\(355\) 14.1061 8.14418i 0.748676 0.432248i
\(356\) 4.36131 7.55401i 0.231149 0.400362i
\(357\) 6.21457 + 7.53978i 0.328910 + 0.399048i
\(358\) 9.01690 15.6177i 0.476558 0.825422i
\(359\) 23.2838 + 13.4429i 1.22887 + 0.709490i 0.966794 0.255557i \(-0.0822587\pi\)
0.262079 + 0.965047i \(0.415592\pi\)
\(360\) 0.976368 + 2.83667i 0.0514591 + 0.149506i
\(361\) 17.8163 + 6.60153i 0.937699 + 0.347449i
\(362\) 10.5944i 0.556830i
\(363\) −2.98286 1.11545i −0.156560 0.0585458i
\(364\) −5.74514 3.31696i −0.301127 0.173856i
\(365\) 0.827798 0.477929i 0.0433289 0.0250160i
\(366\) −3.24486 1.21342i −0.169612 0.0634266i
\(367\) −4.10312 7.10681i −0.214181 0.370973i 0.738838 0.673883i \(-0.235375\pi\)
−0.953019 + 0.302911i \(0.902042\pi\)
\(368\) 0.975534i 0.0508532i
\(369\) −0.377062 + 0.129783i −0.0196291 + 0.00675622i
\(370\) −4.11174 7.12175i −0.213759 0.370242i
\(371\) −10.4557 18.1099i −0.542835 0.940218i
\(372\) −13.0572 + 2.18423i −0.676985 + 0.113247i
\(373\) 6.85659i 0.355021i 0.984119 + 0.177510i \(0.0568043\pi\)
−0.984119 + 0.177510i \(0.943196\pi\)
\(374\) 4.83557 + 8.37546i 0.250042 + 0.433085i
\(375\) 0.606673 1.62233i 0.0313285 0.0837767i
\(376\) 7.38774 4.26531i 0.380993 0.219967i
\(377\) −20.8081 12.0136i −1.07167 0.618731i
\(378\) −9.17073 0.241776i −0.471692 0.0124356i
\(379\) 4.08608i 0.209888i 0.994478 + 0.104944i \(0.0334663\pi\)
−0.994478 + 0.104944i \(0.966534\pi\)
\(380\) 0.769325 4.29047i 0.0394655 0.220097i
\(381\) −7.71068 + 1.28986i −0.395030 + 0.0660813i
\(382\) −5.05565 2.91888i −0.258670 0.149343i
\(383\) 15.1709 26.2767i 0.775196 1.34268i −0.159489 0.987200i \(-0.550985\pi\)
0.934684 0.355479i \(-0.115682\pi\)
\(384\) 1.33656 1.10164i 0.0682060 0.0562179i
\(385\) −2.67192 + 4.62790i −0.136174 + 0.235860i
\(386\) −12.2299 + 7.06095i −0.622487 + 0.359393i
\(387\) −27.9184 + 9.60938i −1.41917 + 0.488472i
\(388\) 14.3457i 0.728292i
\(389\) −0.212061 + 0.122434i −0.0107519 + 0.00620763i −0.505366 0.862905i \(-0.668643\pi\)
0.494614 + 0.869113i \(0.335309\pi\)
\(390\) −5.02209 + 4.13939i −0.254304 + 0.209606i
\(391\) −3.11702 −0.157635
\(392\) −3.88293 −0.196118
\(393\) −4.88476 5.92641i −0.246404 0.298948i
\(394\) 0.248605 + 0.143532i 0.0125245 + 0.00723103i
\(395\) 1.30814 + 2.26576i 0.0658195 + 0.114003i
\(396\) −8.91329 1.73366i −0.447910 0.0871199i
\(397\) 15.2157 26.3543i 0.763652 1.32268i −0.177305 0.984156i \(-0.556738\pi\)
0.940957 0.338527i \(-0.109929\pi\)
\(398\) −18.8812 −0.946427
\(399\) 11.4650 + 6.79904i 0.573967 + 0.340378i
\(400\) −1.00000 −0.0500000
\(401\) 4.69167 8.12622i 0.234291 0.405804i −0.724775 0.688985i \(-0.758056\pi\)
0.959066 + 0.283181i \(0.0913898\pi\)
\(402\) 0.455293 1.21752i 0.0227080 0.0607242i
\(403\) −14.3598 24.8720i −0.715315 1.23896i
\(404\) −13.7972 7.96584i −0.686438 0.396315i
\(405\) −3.37344 + 8.34386i −0.167627 + 0.414609i
\(406\) 11.2896 0.560294
\(407\) 24.8906 1.23378
\(408\) −3.51996 4.27057i −0.174264 0.211425i
\(409\) −2.29099 + 1.32271i −0.113282 + 0.0654036i −0.555571 0.831469i \(-0.687500\pi\)
0.442288 + 0.896873i \(0.354167\pi\)
\(410\) 0.132924i 0.00656465i
\(411\) −25.0878 + 4.19672i −1.23749 + 0.207009i
\(412\) −5.40798 + 3.12230i −0.266432 + 0.153824i
\(413\) 6.75767 11.7046i 0.332523 0.575947i
\(414\) 1.92028 2.20851i 0.0943769 0.108542i
\(415\) −2.33564 + 4.04546i −0.114652 + 0.198584i
\(416\) 3.25407 + 1.87874i 0.159544 + 0.0921128i
\(417\) 5.38784 + 32.2082i 0.263844 + 1.57724i
\(418\) 10.0822 + 8.50975i 0.493135 + 0.416225i
\(419\) 17.5775i 0.858719i 0.903134 + 0.429359i \(0.141261\pi\)
−0.903134 + 0.429359i \(0.858739\pi\)
\(420\) 1.07109 2.86426i 0.0522641 0.139761i
\(421\) 17.0375 + 9.83661i 0.830357 + 0.479407i 0.853975 0.520314i \(-0.174185\pi\)
−0.0236179 + 0.999721i \(0.507519\pi\)
\(422\) 16.5023 9.52758i 0.803317 0.463796i
\(423\) 25.1211 + 4.88614i 1.22143 + 0.237572i
\(424\) 5.92218 + 10.2575i 0.287607 + 0.498149i
\(425\) 3.19520i 0.154990i
\(426\) −4.65472 27.8256i −0.225522 1.34816i
\(427\) 1.76563 + 3.05817i 0.0854450 + 0.147995i
\(428\) 1.25430 + 2.17252i 0.0606290 + 0.105012i
\(429\) −3.25007 19.4287i −0.156915 0.938028i
\(430\) 9.84197i 0.474622i
\(431\) −4.39080 7.60508i −0.211497 0.366324i 0.740686 0.671851i \(-0.234501\pi\)
−0.952183 + 0.305527i \(0.901167\pi\)
\(432\) 5.19435 + 0.136943i 0.249913 + 0.00658867i
\(433\) 22.6952 13.1031i 1.09066 0.629693i 0.156908 0.987613i \(-0.449847\pi\)
0.933752 + 0.357920i \(0.116514\pi\)
\(434\) 11.6866 + 6.74724i 0.560973 + 0.323878i
\(435\) 3.87937 10.3740i 0.186001 0.497393i
\(436\) 0.224622i 0.0107575i
\(437\) −4.00000 + 1.44280i −0.191346 + 0.0690183i
\(438\) −0.273155 1.63291i −0.0130519 0.0780233i
\(439\) −23.3862 13.5020i −1.11616 0.644417i −0.175745 0.984436i \(-0.556233\pi\)
−0.940419 + 0.340018i \(0.889567\pi\)
\(440\) 1.51339 2.62126i 0.0721479 0.124964i
\(441\) −8.79055 7.64334i −0.418598 0.363969i
\(442\) 6.00295 10.3974i 0.285531 0.494554i
\(443\) 12.9795 7.49371i 0.616674 0.356037i −0.158899 0.987295i \(-0.550794\pi\)
0.775573 + 0.631258i \(0.217461\pi\)
\(444\) −14.0483 + 2.35002i −0.666703 + 0.111527i
\(445\) 8.72262i 0.413492i
\(446\) 1.45190 0.838252i 0.0687492 0.0396924i
\(447\) 3.02266 + 3.66722i 0.142967 + 0.173454i
\(448\) −1.76552 −0.0834131
\(449\) −1.07127 −0.0505565 −0.0252782 0.999680i \(-0.508047\pi\)
−0.0252782 + 0.999680i \(0.508047\pi\)
\(450\) −2.26390 1.96845i −0.106721 0.0927934i
\(451\) 0.348429 + 0.201166i 0.0164069 + 0.00947252i
\(452\) 6.34499 + 10.9898i 0.298443 + 0.516919i
\(453\) 13.8081 36.9248i 0.648761 1.73488i
\(454\) 5.62519 9.74312i 0.264003 0.457267i
\(455\) 6.63392 0.311003
\(456\) −6.49382 3.85101i −0.304101 0.180340i
\(457\) −7.60858 −0.355914 −0.177957 0.984038i \(-0.556949\pi\)
−0.177957 + 0.984038i \(0.556949\pi\)
\(458\) 11.3258 19.6169i 0.529220 0.916637i
\(459\) 0.437560 16.5970i 0.0204236 0.774680i
\(460\) 0.487767 + 0.844837i 0.0227422 + 0.0393907i
\(461\) 2.94051 + 1.69770i 0.136953 + 0.0790699i 0.566911 0.823779i \(-0.308138\pi\)
−0.429958 + 0.902849i \(0.641472\pi\)
\(462\) 5.88699 + 7.14235i 0.273888 + 0.332292i
\(463\) −14.1271 −0.656543 −0.328271 0.944583i \(-0.606466\pi\)
−0.328271 + 0.944583i \(0.606466\pi\)
\(464\) −6.39449 −0.296857
\(465\) 10.2158 8.42021i 0.473745 0.390478i
\(466\) −9.24441 + 5.33726i −0.428239 + 0.247244i
\(467\) 11.4238i 0.528631i 0.964436 + 0.264315i \(0.0851460\pi\)
−0.964436 + 0.264315i \(0.914854\pi\)
\(468\) 3.66869 + 10.6587i 0.169585 + 0.492700i
\(469\) −1.14747 + 0.662490i −0.0529851 + 0.0305910i
\(470\) −4.26531 + 7.38774i −0.196744 + 0.340771i
\(471\) −10.7220 + 8.83747i −0.494044 + 0.407209i
\(472\) −3.82758 + 6.62956i −0.176178 + 0.305150i
\(473\) 25.7984 + 14.8947i 1.18621 + 0.684860i
\(474\) 4.46941 0.747651i 0.205287 0.0343407i
\(475\) 1.47898 + 4.10032i 0.0678603 + 0.188136i
\(476\) 5.64119i 0.258564i
\(477\) −6.78417 + 34.8794i −0.310626 + 1.59702i
\(478\) 19.0417 + 10.9937i 0.870946 + 0.502841i
\(479\) −31.4439 + 18.1542i −1.43671 + 0.829485i −0.997620 0.0689574i \(-0.978033\pi\)
−0.439091 + 0.898443i \(0.644699\pi\)
\(480\) −0.606673 + 1.62233i −0.0276907 + 0.0740488i
\(481\) −15.4498 26.7598i −0.704450 1.22014i
\(482\) 1.94478i 0.0885822i
\(483\) −2.94227 + 0.492188i −0.133878 + 0.0223954i
\(484\) −0.919316 1.59230i −0.0417871 0.0723773i
\(485\) −7.17285 12.4237i −0.325702 0.564133i
\(486\) 11.4899 + 10.5348i 0.521192 + 0.477869i
\(487\) 9.01284i 0.408411i 0.978928 + 0.204205i \(0.0654610\pi\)
−0.978928 + 0.204205i \(0.934539\pi\)
\(488\) −1.00006 1.73216i −0.0452707 0.0784112i
\(489\) 6.01157 + 2.24804i 0.271853 + 0.101660i
\(490\) 3.36272 1.94147i 0.151912 0.0877065i
\(491\) 19.3513 + 11.1725i 0.873313 + 0.504208i 0.868448 0.495780i \(-0.165118\pi\)
0.00486554 + 0.999988i \(0.498451\pi\)
\(492\) −0.215646 0.0806415i −0.00972209 0.00363560i
\(493\) 20.4317i 0.920196i
\(494\) 2.89072 16.1214i 0.130060 0.725334i
\(495\) 8.58597 2.95525i 0.385911 0.132828i
\(496\) −6.61932 3.82167i −0.297216 0.171598i
\(497\) −14.3787 + 24.9047i −0.644974 + 1.11713i
\(498\) 5.14608 + 6.24345i 0.230601 + 0.279776i
\(499\) 19.8988 34.4658i 0.890795 1.54290i 0.0518700 0.998654i \(-0.483482\pi\)
0.838925 0.544248i \(-0.183185\pi\)
\(500\) 0.866025 0.500000i 0.0387298 0.0223607i
\(501\) 0.0393056 + 0.234967i 0.00175605 + 0.0104975i
\(502\) 27.0719i 1.20828i
\(503\) 29.8559 17.2373i 1.33121 0.768575i 0.345726 0.938336i \(-0.387633\pi\)
0.985485 + 0.169761i \(0.0542995\pi\)
\(504\) −3.99696 3.47533i −0.178039 0.154804i
\(505\) 15.9317 0.708950
\(506\) −2.95272 −0.131264
\(507\) −1.49516 + 1.23237i −0.0664024 + 0.0547313i
\(508\) −3.90891 2.25681i −0.173430 0.100130i
\(509\) −18.5767 32.1758i −0.823398 1.42617i −0.903138 0.429351i \(-0.858742\pi\)
0.0797396 0.996816i \(-0.474591\pi\)
\(510\) 5.18366 + 1.93844i 0.229536 + 0.0858356i
\(511\) −0.843794 + 1.46149i −0.0373273 + 0.0646527i
\(512\) 1.00000 0.0441942
\(513\) −7.12083 21.5010i −0.314392 0.949293i
\(514\) 24.9464 1.10034
\(515\) 3.12230 5.40798i 0.137585 0.238304i
\(516\) −15.9669 5.97086i −0.702903 0.262852i
\(517\) −12.9101 22.3610i −0.567787 0.983437i
\(518\) 12.5736 + 7.25937i 0.552452 + 0.318959i
\(519\) 4.33277 3.57123i 0.190187 0.156759i
\(520\) −3.75748 −0.164776
\(521\) −18.7548 −0.821664 −0.410832 0.911711i \(-0.634762\pi\)
−0.410832 + 0.911711i \(0.634762\pi\)
\(522\) −14.4765 12.5872i −0.633617 0.550927i
\(523\) −11.5841 + 6.68808i −0.506537 + 0.292449i −0.731409 0.681939i \(-0.761137\pi\)
0.224872 + 0.974388i \(0.427804\pi\)
\(524\) 4.43408i 0.193704i
\(525\) 0.504532 + 3.01607i 0.0220196 + 0.131632i
\(526\) 1.88439 1.08795i 0.0821633 0.0474370i
\(527\) −12.2110 + 21.1500i −0.531919 + 0.921310i
\(528\) −3.33442 4.04546i −0.145112 0.176056i
\(529\) −11.0242 + 19.0944i −0.479312 + 0.830192i
\(530\) −10.2575 5.92218i −0.445558 0.257243i
\(531\) −21.7152 + 7.47425i −0.942357 + 0.324355i
\(532\) 2.61117 + 7.23920i 0.113209 + 0.313859i
\(533\) 0.499460i 0.0216340i
\(534\) 14.1510 + 5.29178i 0.612372 + 0.228998i
\(535\) −2.17252 1.25430i −0.0939260 0.0542282i
\(536\) 0.649931 0.375238i 0.0280727 0.0162078i
\(537\) 29.2567 + 10.9406i 1.26252 + 0.472122i
\(538\) −16.1461 27.9659i −0.696109 1.20570i
\(539\) 11.7528i 0.506227i
\(540\) −4.56691 + 2.47858i −0.196528 + 0.106661i
\(541\) −12.9791 22.4805i −0.558017 0.966513i −0.997662 0.0683416i \(-0.978229\pi\)
0.439645 0.898171i \(-0.355104\pi\)
\(542\) 1.71811 + 2.97585i 0.0737990 + 0.127824i
\(543\) −18.0986 + 3.02756i −0.776684 + 0.129925i
\(544\) 3.19520i 0.136993i
\(545\) −0.112311 0.194529i −0.00481088 0.00833269i
\(546\) 4.02462 10.7624i 0.172238 0.460588i
\(547\) −21.9902 + 12.6960i −0.940232 + 0.542843i −0.890033 0.455896i \(-0.849319\pi\)
−0.0501992 + 0.998739i \(0.515986\pi\)
\(548\) −12.7182 7.34284i −0.543293 0.313671i
\(549\) 1.14562 5.89000i 0.0488941 0.251379i
\(550\) 3.02678i 0.129062i
\(551\) 9.45733 + 26.2194i 0.402896 + 1.11699i
\(552\) 1.66652 0.278778i 0.0709317 0.0118656i
\(553\) −4.00025 2.30954i −0.170108 0.0982118i
\(554\) −5.34961 + 9.26579i −0.227283 + 0.393666i
\(555\) 10.9912 9.05933i 0.466549 0.384547i
\(556\) −9.42690 + 16.3279i −0.399790 + 0.692456i
\(557\) 29.9344 17.2826i 1.26836 0.732288i 0.293683 0.955903i \(-0.405119\pi\)
0.974678 + 0.223615i \(0.0717857\pi\)
\(558\) −7.46271 21.6816i −0.315922 0.917857i
\(559\) 36.9810i 1.56413i
\(560\) 1.52899 0.882761i 0.0646115 0.0373035i
\(561\) −12.9261 + 10.6541i −0.545738 + 0.449818i
\(562\) −11.5496 −0.487193
\(563\) −37.7990 −1.59304 −0.796520 0.604612i \(-0.793328\pi\)
−0.796520 + 0.604612i \(0.793328\pi\)
\(564\) 9.39768 + 11.4017i 0.395714 + 0.480097i
\(565\) −10.9898 6.34499i −0.462346 0.266936i
\(566\) −1.20364 2.08476i −0.0505926 0.0876290i
\(567\) −2.20769 15.7356i −0.0927142 0.660832i
\(568\) 8.14418 14.1061i 0.341722 0.591880i
\(569\) 36.6704 1.53730 0.768652 0.639667i \(-0.220928\pi\)
0.768652 + 0.639667i \(0.220928\pi\)
\(570\) 7.54932 + 0.0881621i 0.316206 + 0.00369270i
\(571\) 29.7545 1.24519 0.622593 0.782546i \(-0.286079\pi\)
0.622593 + 0.782546i \(0.286079\pi\)
\(572\) 5.68653 9.84935i 0.237766 0.411822i
\(573\) 3.54161 9.47076i 0.147953 0.395647i
\(574\) 0.117340 + 0.203239i 0.00489768 + 0.00848304i
\(575\) −0.844837 0.487767i −0.0352321 0.0203413i
\(576\) 2.26390 + 1.96845i 0.0943290 + 0.0820186i
\(577\) −16.0955 −0.670064 −0.335032 0.942207i \(-0.608747\pi\)
−0.335032 + 0.942207i \(0.608747\pi\)
\(578\) 6.79071 0.282456
\(579\) −15.5573 18.8747i −0.646538 0.784408i
\(580\) 5.53779 3.19725i 0.229944 0.132758i
\(581\) 8.24726i 0.342154i
\(582\) −24.5070 + 4.09956i −1.01585 + 0.169932i
\(583\) 31.0472 17.9251i 1.28584 0.742382i
\(584\) 0.477929 0.827798i 0.0197769 0.0342545i
\(585\) −8.50654 7.39640i −0.351702 0.305803i
\(586\) −6.13402 + 10.6244i −0.253394 + 0.438891i
\(587\) 11.3554 + 6.55606i 0.468688 + 0.270597i 0.715691 0.698418i \(-0.246112\pi\)
−0.247002 + 0.969015i \(0.579445\pi\)
\(588\) −1.10962 6.63327i −0.0457601 0.273551i
\(589\) −5.88021 + 32.7935i −0.242290 + 1.35123i
\(590\) 7.65515i 0.315158i
\(591\) −0.174154 + 0.465712i −0.00716374 + 0.0191568i
\(592\) −7.12175 4.11174i −0.292702 0.168992i
\(593\) 21.2078 12.2443i 0.870900 0.502814i 0.00325292 0.999995i \(-0.498965\pi\)
0.867647 + 0.497180i \(0.165631\pi\)
\(594\) 0.414496 15.7221i 0.0170070 0.645087i
\(595\) −2.82060 4.88542i −0.115633 0.200283i
\(596\) 2.74378i 0.112390i
\(597\) −5.39566 32.2549i −0.220830 1.32011i
\(598\) 1.83277 + 3.17446i 0.0749477 + 0.129813i
\(599\) 6.98997 + 12.1070i 0.285603 + 0.494678i 0.972755 0.231835i \(-0.0744730\pi\)
−0.687153 + 0.726513i \(0.741140\pi\)
\(600\) −0.285770 1.70831i −0.0116665 0.0697416i
\(601\) 41.6645i 1.69953i −0.527161 0.849766i \(-0.676743\pi\)
0.527161 0.849766i \(-0.323257\pi\)
\(602\) 8.68810 + 15.0482i 0.354101 + 0.613320i
\(603\) 2.21001 + 0.429854i 0.0899986 + 0.0175050i
\(604\) 19.7111 11.3802i 0.802032 0.463053i
\(605\) 1.59230 + 0.919316i 0.0647362 + 0.0373755i
\(606\) 9.66532 25.8464i 0.392627 1.04994i
\(607\) 31.5810i 1.28183i −0.767610 0.640917i \(-0.778554\pi\)
0.767610 0.640917i \(-0.221446\pi\)
\(608\) −1.47898 4.10032i −0.0599806 0.166290i
\(609\) 3.22623 + 19.2862i 0.130733 + 0.781516i
\(610\) 1.73216 + 1.00006i 0.0701331 + 0.0404914i
\(611\) −16.0268 + 27.7593i −0.648376 + 1.12302i
\(612\) 6.28957 7.23359i 0.254241 0.292401i
\(613\) 0.700918 1.21403i 0.0283098 0.0490340i −0.851523 0.524317i \(-0.824321\pi\)
0.879833 + 0.475283i \(0.157654\pi\)
\(614\) −18.5689 + 10.7208i −0.749379 + 0.432654i
\(615\) 0.227076 0.0379857i 0.00915659 0.00153173i
\(616\) 5.34384i 0.215309i
\(617\) 9.13701 5.27526i 0.367842 0.212374i −0.304673 0.952457i \(-0.598547\pi\)
0.672515 + 0.740083i \(0.265214\pi\)
\(618\) −6.87930 8.34626i −0.276726 0.335736i
\(619\) −4.98387 −0.200318 −0.100159 0.994971i \(-0.531935\pi\)
−0.100159 + 0.994971i \(0.531935\pi\)
\(620\) 7.64334 0.306964
\(621\) 4.32158 + 2.64933i 0.173419 + 0.106314i
\(622\) 2.07949 + 1.20060i 0.0833801 + 0.0481395i
\(623\) −7.69999 13.3368i −0.308494 0.534327i
\(624\) −2.27956 + 6.09587i −0.0912555 + 0.244030i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −7.70245 −0.307852
\(627\) −11.6561 + 19.6553i −0.465502 + 0.784959i
\(628\) −8.02210 −0.320117
\(629\) −13.1378 + 22.7554i −0.523840 + 0.907317i
\(630\) 5.19913 + 1.01125i 0.207138 + 0.0402891i
\(631\) −4.99217 8.64668i −0.198735 0.344219i 0.749384 0.662136i \(-0.230350\pi\)
−0.948119 + 0.317917i \(0.897017\pi\)
\(632\) 2.26576 + 1.30814i 0.0901270 + 0.0520349i
\(633\) 20.9919 + 25.4683i 0.834355 + 1.01228i
\(634\) −20.3985 −0.810129
\(635\) 4.51362 0.179118
\(636\) −15.8307 + 13.0482i −0.627727 + 0.517396i
\(637\) 12.6353 7.29502i 0.500631 0.289039i
\(638\) 19.3547i 0.766259i
\(639\) 46.2047 15.9034i 1.82783 0.629130i
\(640\) −0.866025 + 0.500000i −0.0342327 + 0.0197642i
\(641\) 11.0764 19.1848i 0.437490 0.757755i −0.560005 0.828489i \(-0.689201\pi\)
0.997495 + 0.0707341i \(0.0225342\pi\)
\(642\) −3.35290 + 2.76358i −0.132328 + 0.109070i
\(643\) −24.4476 + 42.3446i −0.964121 + 1.66991i −0.252163 + 0.967685i \(0.581142\pi\)
−0.711958 + 0.702222i \(0.752191\pi\)
\(644\) −1.49158 0.861163i −0.0587764 0.0339346i
\(645\) 16.8132 2.81253i 0.662018 0.110743i
\(646\) −13.1013 + 4.72564i −0.515465 + 0.185928i
\(647\) 2.69718i 0.106037i 0.998594 + 0.0530185i \(0.0168842\pi\)
−0.998594 + 0.0530185i \(0.983116\pi\)
\(648\) 1.25044 + 8.91271i 0.0491221 + 0.350124i
\(649\) 20.0662 + 11.5852i 0.787666 + 0.454759i
\(650\) 3.25407 1.87874i 0.127635 0.0736903i
\(651\) −8.18674 + 21.8925i −0.320863 + 0.858033i
\(652\) 1.85276 + 3.20908i 0.0725597 + 0.125677i
\(653\) 0.588679i 0.0230368i −0.999934 0.0115184i \(-0.996334\pi\)
0.999934 0.0115184i \(-0.00366650\pi\)
\(654\) −0.383725 + 0.0641902i −0.0150049 + 0.00251004i
\(655\) 2.21704 + 3.84003i 0.0866269 + 0.150042i
\(656\) −0.0664620 0.115116i −0.00259491 0.00449451i
\(657\) 2.71146 0.933270i 0.105784 0.0364103i
\(658\) 15.0610i 0.587139i
\(659\) −11.1918 19.3847i −0.435970 0.755121i 0.561405 0.827541i \(-0.310261\pi\)
−0.997374 + 0.0724200i \(0.976928\pi\)
\(660\) 4.91042 + 1.83626i 0.191138 + 0.0714765i
\(661\) 12.9940 7.50211i 0.505409 0.291798i −0.225535 0.974235i \(-0.572413\pi\)
0.730945 + 0.682437i \(0.239080\pi\)
\(662\) −22.0426 12.7263i −0.856711 0.494622i
\(663\) 19.4775 + 7.28365i 0.756443 + 0.282874i
\(664\) 4.67129i 0.181281i
\(665\) −5.88094 4.96375i −0.228053 0.192486i
\(666\) −8.02915 23.3273i −0.311123 0.903916i
\(667\) −5.40230 3.11902i −0.209178 0.120769i
\(668\) −0.0687715 + 0.119116i −0.00266085 + 0.00460873i
\(669\) 1.84691 + 2.24075i 0.0714055 + 0.0866323i
\(670\) −0.375238 + 0.649931i −0.0144967 + 0.0251090i
\(671\) −5.24286 + 3.02697i −0.202398 + 0.116855i
\(672\) −0.504532 3.01607i −0.0194628 0.116347i
\(673\) 13.1927i 0.508543i −0.967133 0.254271i \(-0.918164\pi\)
0.967133 0.254271i \(-0.0818356\pi\)
\(674\) −14.8031 + 8.54657i −0.570194 + 0.329202i
\(675\) 2.71577 4.42997i 0.104530 0.170509i
\(676\) −1.11866 −0.0430255
\(677\) −15.1704 −0.583047 −0.291523 0.956564i \(-0.594162\pi\)
−0.291523 + 0.956564i \(0.594162\pi\)
\(678\) −16.9609 + 13.9798i −0.651380 + 0.536891i
\(679\) 21.9344 + 12.6638i 0.841764 + 0.485993i
\(680\) 1.59760 + 2.76712i 0.0612651 + 0.106114i
\(681\) 18.2518 + 6.82531i 0.699411 + 0.261546i
\(682\) −11.5673 + 20.0352i −0.442936 + 0.767188i
\(683\) −26.8136 −1.02599 −0.512997 0.858390i \(-0.671465\pi\)
−0.512997 + 0.858390i \(0.671465\pi\)
\(684\) 4.72300 12.1940i 0.180588 0.466249i
\(685\) 14.6857 0.561111
\(686\) −9.60703 + 16.6399i −0.366798 + 0.635313i
\(687\) 36.7484 + 13.7421i 1.40204 + 0.524295i
\(688\) −4.92098 8.52339i −0.187611 0.324951i
\(689\) −38.5424 22.2525i −1.46835 0.847752i
\(690\) −1.30386 + 1.07469i −0.0496370 + 0.0409127i
\(691\) −18.3997 −0.699959 −0.349980 0.936757i \(-0.613811\pi\)
−0.349980 + 0.936757i \(0.613811\pi\)
\(692\) 3.24174 0.123232
\(693\) −10.5191 + 12.0979i −0.399586 + 0.459561i
\(694\) −0.366418 + 0.211552i −0.0139090 + 0.00803039i
\(695\) 18.8538i 0.715166i
\(696\) −1.82735 10.9238i −0.0692656 0.414065i
\(697\) −0.367817 + 0.212359i −0.0139321 + 0.00804368i
\(698\) 14.8294 25.6853i 0.561301 0.972201i
\(699\) −11.7595 14.2671i −0.444785 0.539632i
\(700\) −0.882761 + 1.52899i −0.0333652 + 0.0577903i
\(701\) 4.07681 + 2.35374i 0.153979 + 0.0888997i 0.575010 0.818147i \(-0.304998\pi\)
−0.421031 + 0.907046i \(0.638332\pi\)
\(702\) −17.1601 + 9.31321i −0.647665 + 0.351504i
\(703\) −6.32653 + 35.2826i −0.238610 + 1.33071i
\(704\) 3.02678i 0.114076i
\(705\) −13.8395 5.17530i −0.521225 0.194913i
\(706\) 25.5556 + 14.7545i 0.961798 + 0.555294i
\(707\) −24.3593 + 14.0639i −0.916127 + 0.528926i
\(708\) −12.4192 4.64418i −0.466741 0.174539i
\(709\) 15.3247 + 26.5431i 0.575531 + 0.996849i 0.995984 + 0.0895342i \(0.0285378\pi\)
−0.420453 + 0.907314i \(0.638129\pi\)
\(710\) 16.2884i 0.611291i
\(711\) 2.55444 + 7.42150i 0.0957992 + 0.278328i
\(712\) 4.36131 + 7.55401i 0.163447 + 0.283099i
\(713\) −3.72817 6.45737i −0.139621 0.241830i
\(714\) −9.63693 + 1.61208i −0.360653 + 0.0603306i
\(715\) 11.3731i 0.425328i
\(716\) 9.01690 + 15.6177i 0.336977 + 0.583662i
\(717\) −13.3392 + 35.6708i −0.498161 + 1.33215i
\(718\) −23.2838 + 13.4429i −0.868944 + 0.501685i
\(719\) 20.3745 + 11.7632i 0.759841 + 0.438694i 0.829239 0.558895i \(-0.188774\pi\)
−0.0693979 + 0.997589i \(0.522108\pi\)
\(720\) −2.94481 0.572776i −0.109747 0.0213461i
\(721\) 11.0250i 0.410591i
\(722\) −14.6252 + 12.1286i −0.544295 + 0.451379i
\(723\) −3.32229 + 0.555758i −0.123557 + 0.0206689i
\(724\) −9.17503 5.29721i −0.340987 0.196869i
\(725\) −3.19725 + 5.53779i −0.118743 + 0.205668i
\(726\) 2.45744 2.02551i 0.0912041 0.0751737i
\(727\) 0.310241 0.537354i 0.0115062 0.0199293i −0.860215 0.509932i \(-0.829671\pi\)
0.871721 + 0.490002i \(0.163004\pi\)
\(728\) 5.74514 3.31696i 0.212929 0.122935i
\(729\) −14.7133 + 22.6389i −0.544937 + 0.838477i
\(730\) 0.955858i 0.0353779i
\(731\) −27.2339 + 15.7235i −1.00728 + 0.581555i
\(732\) 2.67328 2.20342i 0.0988075 0.0814407i
\(733\) −46.1349 −1.70403 −0.852016 0.523515i \(-0.824620\pi\)
−0.852016 + 0.523515i \(0.824620\pi\)
\(734\) 8.20624 0.302898
\(735\) 4.27760 + 5.18976i 0.157781 + 0.191427i
\(736\) 0.844837 + 0.487767i 0.0311411 + 0.0179793i
\(737\) −1.13576 1.96719i −0.0418363 0.0724625i
\(738\) 0.0761357 0.391437i 0.00280259 0.0144090i
\(739\) 10.7620 18.6403i 0.395886 0.685694i −0.597328 0.801997i \(-0.703771\pi\)
0.993214 + 0.116303i \(0.0371044\pi\)
\(740\) 8.22349 0.302301
\(741\) 28.3664 + 0.331267i 1.04207 + 0.0121694i
\(742\) 20.9115 0.767685
\(743\) 16.8709 29.2213i 0.618935 1.07203i −0.370746 0.928734i \(-0.620898\pi\)
0.989680 0.143292i \(-0.0457688\pi\)
\(744\) 4.63701 12.4000i 0.170001 0.454606i
\(745\) −1.37189 2.37618i −0.0502622 0.0870566i
\(746\) −5.93798 3.42829i −0.217405 0.125519i
\(747\) −9.19518 + 10.5753i −0.336434 + 0.386930i
\(748\) −9.67115 −0.353612
\(749\) 4.42900 0.161832
\(750\) 1.10164 + 1.33656i 0.0402262 + 0.0488042i
\(751\) −37.8615 + 21.8593i −1.38158 + 0.797658i −0.992347 0.123479i \(-0.960595\pi\)
−0.389237 + 0.921137i \(0.627261\pi\)
\(752\) 8.53062i 0.311080i
\(753\) 46.2474 7.73634i 1.68535 0.281928i
\(754\) 20.8081 12.0136i 0.757788 0.437509i
\(755\) −11.3802 + 19.7111i −0.414167 + 0.717359i
\(756\) 4.79475 7.82120i 0.174383 0.284454i
\(757\) −9.68232 + 16.7703i −0.351910 + 0.609526i −0.986584 0.163254i \(-0.947801\pi\)
0.634674 + 0.772780i \(0.281134\pi\)
\(758\) −3.53865 2.04304i −0.128529 0.0742065i
\(759\) −0.843798 5.04417i −0.0306279 0.183092i
\(760\) 3.33099 + 2.81149i 0.120828 + 0.101983i
\(761\) 36.1398i 1.31007i 0.755600 + 0.655033i \(0.227345\pi\)
−0.755600 + 0.655033i \(0.772655\pi\)
\(762\) 2.73829 7.32257i 0.0991979 0.265269i
\(763\) 0.343445 + 0.198288i 0.0124335 + 0.00717850i
\(764\) 5.05565 2.91888i 0.182907 0.105601i
\(765\) −1.83013 + 9.40926i −0.0661686 + 0.340193i
\(766\) 15.1709 + 26.2767i 0.548146 + 0.949417i
\(767\) 28.7641i 1.03861i
\(768\) 0.285770 + 1.70831i 0.0103118 + 0.0616435i
\(769\) 20.4227 + 35.3732i 0.736462 + 1.27559i 0.954079 + 0.299555i \(0.0968382\pi\)
−0.217617 + 0.976034i \(0.569828\pi\)
\(770\) −2.67192 4.62790i −0.0962893 0.166778i
\(771\) 7.12893 + 42.6163i 0.256742 + 1.53479i
\(772\) 14.1219i 0.508258i
\(773\) −26.9826 46.7352i −0.970495 1.68095i −0.694064 0.719914i \(-0.744181\pi\)
−0.276432 0.961034i \(-0.589152\pi\)
\(774\) 5.63724 28.9828i 0.202627 1.04176i
\(775\) −6.61932 + 3.82167i −0.237773 +