Properties

Label 570.2.s.b.521.3
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 521.3
Character \(\chi\) \(=\) 570.521
Dual form 570.2.s.b.221.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(-1.33656 - 1.10164i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-1.62233 + 0.606673i) q^{6} -1.76552 q^{7} -1.00000 q^{8} +(0.572776 + 2.94481i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(-1.33656 - 1.10164i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-1.62233 + 0.606673i) q^{6} -1.76552 q^{7} -1.00000 q^{8} +(0.572776 + 2.94481i) 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} +(0.606673 + 1.62233i) 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} +(2.35972 + 1.94497i) q^{21} +(2.62126 + 1.51339i) q^{22} +(0.844837 - 0.487767i) q^{23} +(1.33656 + 1.10164i) 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} +(3.33442 - 4.04546i) q^{33} +(-2.76712 + 1.59760i) q^{34} +(1.52899 + 0.882761i) q^{35} +(2.26390 - 1.96845i) 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} +(2.86426 - 1.07109i) 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} +(1.62233 - 0.606673i) q^{48} -3.88293 q^{49} +1.00000 q^{50} +(1.93844 + 5.18366i) q^{51} +(3.25407 + 1.87874i) q^{52} +(-5.92218 - 10.2575i) q^{53} +(-2.71577 - 4.42997i) q^{54} +(1.51339 - 2.62126i) q^{55} +1.76552 q^{56} +(-4.88694 - 5.75480i) q^{57} -6.39449 q^{58} +(3.82758 - 6.62956i) q^{59} +(1.10164 - 1.33656i) q^{60} +(-1.00006 - 1.73216i) q^{61} +(6.61932 + 3.82167i) q^{62} +(-1.01125 - 5.19913i) q^{63} +1.00000 q^{64} +3.75748 q^{65} +(-1.83626 - 4.91042i) 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} +(-0.572776 - 2.94481i) 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} +(4.13939 - 5.02209i) q^{78} +(2.26576 + 1.30814i) q^{79} +(0.866025 - 0.500000i) q^{80} +(-8.34386 + 3.37344i) 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} +(-1.96845 - 2.26390i) q^{90} +(5.74514 - 3.31696i) q^{91} +(-0.844837 - 0.487767i) q^{92} +(8.42021 - 10.2158i) 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} +(-8.91329 + 1.73366i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

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
\(3\) −1.33656 1.10164i −0.771662 0.636032i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −1.62233 + 0.606673i −0.662313 + 0.247673i
\(7\) −1.76552 −0.667305 −0.333652 0.942696i \(-0.608281\pi\)
−0.333652 + 0.942696i \(0.608281\pi\)
\(8\) −1.00000 −0.353553
\(9\) 0.572776 + 2.94481i 0.190925 + 0.981605i
\(10\) −0.866025 + 0.500000i −0.273861 + 0.158114i
\(11\) 3.02678i 0.912607i 0.889824 + 0.456304i \(0.150827\pi\)
−0.889824 + 0.456304i \(0.849173\pi\)
\(12\) −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
\(15\) 0.606673 + 1.62233i 0.156642 + 0.418883i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.76712 1.59760i −0.671126 0.387475i 0.125377 0.992109i \(-0.459986\pi\)
−0.796503 + 0.604634i \(0.793319\pi\)
\(18\) 2.83667 + 0.976368i 0.668610 + 0.230132i
\(19\) 4.29047 + 0.769325i 0.984301 + 0.176495i
\(20\) 1.00000i 0.223607i
\(21\) 2.35972 + 1.94497i 0.514934 + 0.424427i
\(22\) 2.62126 + 1.51339i 0.558855 + 0.322655i
\(23\) 0.844837 0.487767i 0.176161 0.101706i −0.409327 0.912388i \(-0.634236\pi\)
0.585488 + 0.810681i \(0.300903\pi\)
\(24\) 1.33656 + 1.10164i 0.272824 + 0.224871i
\(25\) 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 \(-0.964328\pi\)
0.400014 0.916509i \(-0.369005\pi\)
\(30\) 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
\(33\) 3.33442 4.04546i 0.580448 0.704224i
\(34\) −2.76712 + 1.59760i −0.474558 + 0.273986i
\(35\) 1.52899 + 0.882761i 0.258446 + 0.149214i
\(36\) 2.26390 1.96845i 0.377316 0.328074i
\(37\) 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 −0.860789 0.508962i \(-0.830029\pi\)
0.871169 + 0.490984i \(0.163363\pi\)
\(42\) 2.86426 1.07109i 0.441964 0.165274i
\(43\) −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 −0.930251 0.366923i \(-0.880411\pi\)
−0.147361 + 0.989083i \(0.547078\pi\)
\(48\) 1.62233 0.606673i 0.234163 0.0875657i
\(49\) −3.88293 −0.554705
\(50\) 1.00000 0.141421
\(51\) 1.93844 + 5.18366i 0.271436 + 0.725857i
\(52\) 3.25407 + 1.87874i 0.451259 + 0.260534i
\(53\) −5.92218 10.2575i −0.813474 1.40898i −0.910418 0.413689i \(-0.864240\pi\)
0.0969441 0.995290i \(-0.469093\pi\)
\(54\) −2.71577 4.42997i −0.369569 0.602842i
\(55\) 1.51339 2.62126i 0.204065 0.353451i
\(56\) 1.76552 0.235928
\(57\) −4.88694 5.75480i −0.647292 0.762242i
\(58\) −6.39449 −0.839638
\(59\) 3.82758 6.62956i 0.498308 0.863095i −0.501690 0.865047i \(-0.667288\pi\)
0.999998 + 0.00195269i \(0.000621562\pi\)
\(60\) 1.10164 1.33656i 0.142221 0.172549i
\(61\) −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
\(63\) −1.01125 5.19913i −0.127405 0.655029i
\(64\) 1.00000 0.125000
\(65\) 3.75748 0.466058
\(66\) −1.83626 4.91042i −0.226028 0.604431i
\(67\) 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 \(0.584087\pi\)
−0.705430 + 0.708779i \(0.749246\pi\)
\(72\) −0.572776 2.94481i −0.0675023 0.347050i
\(73\) 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
\(78\) 4.13939 5.02209i 0.468694 0.568640i
\(79\) 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
\(81\) −8.34386 + 3.37344i −0.927095 + 0.374826i
\(82\) −0.0664620 0.115116i −0.00733950 0.0127124i
\(83\) 4.67129i 0.512741i −0.966579 0.256370i \(-0.917473\pi\)
0.966579 0.256370i \(-0.0825267\pi\)
\(84\) 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 0.536777 0.843724i \(-0.319642\pi\)
−0.999075 + 0.0430003i \(0.986308\pi\)
\(90\) −1.96845 2.26390i −0.207492 0.238636i
\(91\) 5.74514 3.31696i 0.602254 0.347712i
\(92\) −0.844837 0.487767i −0.0880803 0.0508532i
\(93\) 8.42021 10.2158i 0.873135 1.05933i
\(94\) 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
\(99\) −8.91329 + 1.73366i −0.895819 + 0.174240i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) −13.7972 + 7.96584i −1.37288 + 0.792630i −0.991289 0.131703i \(-0.957956\pi\)
−0.381587 + 0.924333i \(0.624622\pi\)
\(102\) 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
\(105\) −1.07109 2.86426i −0.104528 0.279523i
\(106\) −11.8444 −1.15043
\(107\) 2.50860 0.242516 0.121258 0.992621i \(-0.461307\pi\)
0.121258 + 0.992621i \(0.461307\pi\)
\(108\) −5.19435 + 0.136943i −0.499826 + 0.0131773i
\(109\) −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
\(111\) 9.05933 10.9912i 0.859873 1.04324i
\(112\) 0.882761 1.52899i 0.0834131 0.144476i
\(113\) 12.6900 1.19377 0.596887 0.802326i \(-0.296404\pi\)
0.596887 + 0.802326i \(0.296404\pi\)
\(114\) −7.42728 + 1.35482i −0.695628 + 0.126890i
\(115\) −0.975534 −0.0909690
\(116\) −3.19725 + 5.53779i −0.296857 + 0.514171i
\(117\) −7.39640 8.50654i −0.683797 0.786430i
\(118\) −3.82758 6.62956i −0.352357 0.610300i
\(119\) 4.88542 + 2.82060i 0.447845 + 0.258564i
\(120\) −0.606673 1.62233i −0.0553814 0.148098i
\(121\) 1.83863 0.167148
\(122\) −2.00013 −0.181083
\(123\) −0.215646 + 0.0806415i −0.0194442 + 0.00727120i
\(124\) 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
\(129\) 15.9669 5.97086i 1.40581 0.525705i
\(130\) 1.87874 3.25407i 0.164776 0.285401i
\(131\) −3.84003 2.21704i −0.335505 0.193704i 0.322778 0.946475i \(-0.395383\pi\)
−0.658282 + 0.752771i \(0.728717\pi\)
\(132\) −5.17068 0.864960i −0.450050 0.0752851i
\(133\) −7.57492 1.35826i −0.656829 0.117776i
\(134\) 0.750475i 0.0648312i
\(135\) −4.42997 + 2.71577i −0.381271 + 0.233736i
\(136\) 2.76712 + 1.59760i 0.237279 + 0.136993i
\(137\) −12.7182 + 7.34284i −1.08659 + 0.627341i −0.932666 0.360742i \(-0.882524\pi\)
−0.153921 + 0.988083i \(0.549190\pi\)
\(138\) −1.07469 + 1.30386i −0.0914835 + 0.110992i
\(139\) −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
\(147\) 5.18976 + 4.27760i 0.428045 + 0.352810i
\(148\) 7.12175 4.11174i 0.585404 0.337983i
\(149\) 2.37618 + 1.37189i 0.194664 + 0.112390i 0.594164 0.804344i \(-0.297483\pi\)
−0.399500 + 0.916733i \(0.630816\pi\)
\(150\) −1.33656 1.10164i −0.109130 0.0899486i
\(151\) 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
\(156\) −2.27956 6.09587i −0.182511 0.488060i
\(157\) 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
\(162\) −1.25044 + 8.91271i −0.0982442 + 0.700249i
\(163\) −3.70552 −0.290239 −0.145119 0.989414i \(-0.546357\pi\)
−0.145119 + 0.989414i \(0.546357\pi\)
\(164\) −0.132924 −0.0103796
\(165\) −4.91042 + 1.83626i −0.382276 + 0.142953i
\(166\) −4.04546 2.33564i −0.313988 0.181281i
\(167\) 0.0687715 + 0.119116i 0.00532170 + 0.00921746i 0.868674 0.495384i \(-0.164973\pi\)
−0.863352 + 0.504602i \(0.831639\pi\)
\(168\) −2.35972 1.94497i −0.182057 0.150058i
\(169\) 0.559332 0.968791i 0.0430255 0.0745224i
\(170\) 3.19520 0.245061
\(171\) 0.191961 + 13.0753i 0.0146796 + 0.999892i
\(172\) 9.84197 0.750443
\(173\) 1.62087 2.80743i 0.123232 0.213445i −0.797808 0.602911i \(-0.794007\pi\)
0.921041 + 0.389467i \(0.127341\pi\)
\(174\) 8.54661 + 7.04443i 0.647917 + 0.534037i
\(175\) −0.882761 1.52899i −0.0667305 0.115581i
\(176\) −2.62126 1.51339i −0.197585 0.114076i
\(177\) −12.4192 + 4.64418i −0.933482 + 0.349078i
\(178\) −8.72262 −0.653788
\(179\) 18.0338 1.34791 0.673954 0.738773i \(-0.264594\pi\)
0.673954 + 0.738773i \(0.264594\pi\)
\(180\) −2.94481 + 0.572776i −0.219493 + 0.0426922i
\(181\) 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
\(186\) −4.63701 12.4000i −0.340002 0.909212i
\(187\) 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 \(-0.932262\pi\)
0.977442 0.211203i \(-0.0677380\pi\)
\(192\) −1.33656 1.10164i −0.0964578 0.0795041i
\(193\) 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
\(195\) −5.02209 4.13939i −0.359640 0.296428i
\(196\) 1.94147 + 3.36272i 0.138676 + 0.240194i
\(197\) 0.287064i 0.0204525i 0.999948 + 0.0102262i \(0.00325517\pi\)
−0.999948 + 0.0102262i \(0.996745\pi\)
\(198\) −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
\(204\) 3.51996 4.27057i 0.246446 0.299000i
\(205\) −0.115116 + 0.0664620i −0.00804002 + 0.00464191i
\(206\) −5.40798 3.12230i −0.376791 0.217541i
\(207\) 1.92028 + 2.20851i 0.133469 + 0.153502i
\(208\) 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
\(213\) 26.4251 9.88171i 1.81061 0.677083i
\(214\) 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
\(219\) −1.55072 + 0.579894i −0.104788 + 0.0391856i
\(220\) −3.02678 −0.204065
\(221\) 12.0059 0.807604
\(222\) −4.98897 13.3412i −0.334838 0.895402i
\(223\) −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
\(225\) −2.26390 + 1.96845i −0.150926 + 0.131230i
\(226\) 6.34499 10.9898i 0.422063 0.731034i
\(227\) 11.2504 0.746714 0.373357 0.927688i \(-0.378207\pi\)
0.373357 + 0.927688i \(0.378207\pi\)
\(228\) −2.54033 + 7.10962i −0.168238 + 0.470846i
\(229\) −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
\(231\) −5.88699 + 7.14235i −0.387335 + 0.469932i
\(232\) 3.19725 + 5.53779i 0.209909 + 0.363574i
\(233\) −9.24441 5.33726i −0.605622 0.349656i 0.165628 0.986188i \(-0.447035\pi\)
−0.771250 + 0.636532i \(0.780368\pi\)
\(234\) −11.0651 + 2.15220i −0.723347 + 0.140693i
\(235\) 8.53062 0.556477
\(236\) −7.65515 −0.498308
\(237\) −1.58722 4.24445i −0.103101 0.275707i
\(238\) 4.88542 2.82060i 0.316674 0.182832i
\(239\) 21.9874i 1.42225i 0.703066 + 0.711124i \(0.251814\pi\)
−0.703066 + 0.711124i \(0.748186\pi\)
\(240\) −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
\(243\) 14.8684 + 4.68313i 0.953806 + 0.300423i
\(244\) −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
\(249\) −5.14608 + 6.24345i −0.326120 + 0.395663i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) 23.4450 13.5360i 1.47983 0.854383i 0.480095 0.877216i \(-0.340602\pi\)
0.999739 + 0.0228337i \(0.00726884\pi\)
\(252\) −3.99696 + 3.47533i −0.251785 + 0.218925i
\(253\) 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 \(0.117128\pi\)
−0.155002 + 0.987914i \(0.549539\pi\)
\(258\) 2.81253 16.8132i 0.175101 1.04674i
\(259\) 14.5187i 0.902151i
\(260\) −1.87874 3.25407i −0.116515 0.201809i
\(261\) 14.4765 12.5872i 0.896070 0.779128i
\(262\) −3.84003 + 2.21704i −0.237238 + 0.136969i
\(263\) 1.88439 + 1.08795i 0.116196 + 0.0670860i 0.556972 0.830531i \(-0.311963\pi\)
−0.440775 + 0.897617i \(0.645296\pi\)
\(264\) −3.33442 + 4.04546i −0.205219 + 0.248981i
\(265\) 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 \(-0.389546\pi\)
0.644368 0.764715i \(-0.277120\pi\)
\(270\) 0.136943 + 5.19435i 0.00833409 + 0.316118i
\(271\) 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
\(276\) 0.591830 + 1.58264i 0.0356240 + 0.0952635i
\(277\) 10.6992 0.642854 0.321427 0.946934i \(-0.395838\pi\)
0.321427 + 0.946934i \(0.395838\pi\)
\(278\) −18.8538 −1.13078
\(279\) −22.5082 + 4.37792i −1.34753 + 0.262099i
\(280\) −1.52899 0.882761i −0.0913744 0.0527551i
\(281\) −5.77482 10.0023i −0.344497 0.596687i 0.640765 0.767737i \(-0.278617\pi\)
−0.985262 + 0.171050i \(0.945284\pi\)
\(282\) 9.39768 11.4017i 0.559624 0.678960i
\(283\) −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
\(285\) 1.35482 + 7.42728i 0.0802524 + 0.439954i
\(286\) −11.3731 −0.672503
\(287\) −0.117340 + 0.203239i −0.00692637 + 0.0119968i
\(288\) −2.26390 + 1.96845i −0.133401 + 0.115992i
\(289\) −3.39535 5.88093i −0.199727 0.345937i
\(290\) 5.53779 + 3.19725i 0.325190 + 0.187749i
\(291\) 8.70315 + 23.2734i 0.510188 + 1.36431i
\(292\) −0.955858 −0.0559374
\(293\) −12.2680 −0.716707 −0.358353 0.933586i \(-0.616662\pi\)
−0.358353 + 0.933586i \(0.616662\pi\)
\(294\) 6.29939 2.35567i 0.367388 0.137385i
\(295\) −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
\(300\) −1.62233 + 0.606673i −0.0936651 + 0.0350263i
\(301\) 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
\(306\) −6.28957 7.23359i −0.359551 0.413517i
\(307\) 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
\(309\) −6.87930 + 8.34626i −0.391349 + 0.474802i
\(310\) −3.82167 6.61932i −0.217056 0.375952i
\(311\) 2.40119i 0.136159i 0.997680 + 0.0680795i \(0.0216872\pi\)
−0.997680 + 0.0680795i \(0.978313\pi\)
\(312\) −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 \(-0.972505\pi\)
0.423424 0.905932i \(-0.360828\pi\)
\(318\) 15.8307 + 13.0482i 0.887741 + 0.731709i
\(319\) 16.7616 9.67734i 0.938472 0.541827i
\(320\) −0.866025 0.500000i −0.0484123 0.0279508i
\(321\) −3.35290 2.76358i −0.187140 0.154248i
\(322\) 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
\(327\) 0.136272 + 0.364411i 0.00753588 + 0.0201520i
\(328\) −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
\(333\) −24.2166 + 4.71022i −1.32706 + 0.258118i
\(334\) 0.137543 0.00752602
\(335\) −0.750475 −0.0410029
\(336\) −2.86426 + 1.07109i −0.156258 + 0.0584330i
\(337\) 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
\(339\) −16.9609 13.9798i −0.921190 0.759279i
\(340\) 1.59760 2.76712i 0.0866420 0.150068i
\(341\) −23.1347 −1.25281
\(342\) 11.4195 + 6.37140i 0.617496 + 0.344526i
\(343\) 19.2141 1.03746
\(344\) 4.92098 8.52339i 0.265322 0.459551i
\(345\) 1.30386 + 1.07469i 0.0701973 + 0.0578592i
\(346\) −1.62087 2.80743i −0.0871384 0.150928i
\(347\) −0.366418 0.211552i −0.0196703 0.0113567i 0.490133 0.871648i \(-0.336948\pi\)
−0.509803 + 0.860291i \(0.670282\pi\)
\(348\) 10.3740 3.87937i 0.556103 0.207956i
\(349\) −29.6588 −1.58760 −0.793799 0.608180i \(-0.791900\pi\)
−0.793799 + 0.608180i \(0.791900\pi\)
\(350\) −1.76552 −0.0943711
\(351\) 0.514561 + 19.5177i 0.0274652 + 1.04178i
\(352\) −2.62126 + 1.51339i −0.139714 + 0.0806638i
\(353\) 29.5091i 1.57061i 0.619110 + 0.785304i \(0.287494\pi\)
−0.619110 + 0.785304i \(0.712506\pi\)
\(354\) −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
\(357\) −3.42236 9.15186i −0.181130 0.484368i
\(358\) 9.01690 15.6177i 0.476558 0.825422i
\(359\) −23.2838 13.4429i −1.22887 0.709490i −0.262079 0.965047i \(-0.584408\pi\)
−0.966794 + 0.255557i \(0.917741\pi\)
\(360\) −0.976368 + 2.83667i −0.0514591 + 0.149506i
\(361\) 17.8163 + 6.60153i 0.937699 + 0.347449i
\(362\) 10.5944i 0.556830i
\(363\) −2.45744 2.02551i −0.128982 0.106312i
\(364\) −5.74514 3.31696i −0.301127 0.173856i
\(365\) −0.827798 + 0.477929i −0.0433289 + 0.0250160i
\(366\) 2.67328 + 2.20342i 0.139735 + 0.115175i
\(367\) −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
\(375\) −1.10164 + 1.33656i −0.0568885 + 0.0690196i
\(376\) 7.38774 4.26531i 0.380993 0.219967i
\(377\) 20.8081 + 12.0136i 1.07167 + 0.618731i
\(378\) 4.79475 + 7.82120i 0.246615 + 0.402279i
\(379\) 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 \(0.449015\pi\)
−0.934684 + 0.355479i \(0.884318\pi\)
\(384\) −1.62233 + 0.606673i −0.0827891 + 0.0309592i
\(385\) −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 −0.494614 0.869113i \(-0.664691\pi\)
0.505366 + 0.862905i \(0.331357\pi\)
\(390\) −6.09587 + 2.27956i −0.308676 + 0.115430i
\(391\) −3.11702 −0.157635
\(392\) 3.88293 0.196118
\(393\) 2.69004 + 7.19353i 0.135694 + 0.362866i
\(394\) 0.248605 + 0.143532i 0.0125245 + 0.00723103i
\(395\) −1.30814 2.26576i −0.0658195 0.114003i
\(396\) 5.95804 + 6.85230i 0.299403 + 0.344341i
\(397\) 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
\(399\) 8.62801 + 10.1602i 0.431941 + 0.508648i
\(400\) −1.00000 −0.0500000
\(401\) −4.69167 + 8.12622i −0.234291 + 0.405804i −0.959066 0.283181i \(-0.908610\pi\)
0.724775 + 0.688985i \(0.241944\pi\)
\(402\) −0.826754 + 1.00305i −0.0412347 + 0.0500278i
\(403\) −14.3598 24.8720i −0.715315 1.23896i
\(404\) 13.7972 + 7.96584i 0.686438 + 0.396315i
\(405\) 8.91271 + 1.25044i 0.442876 + 0.0621351i
\(406\) 11.2896 0.560294
\(407\) −24.8906 −1.23378
\(408\) −1.93844 5.18366i −0.0959671 0.256629i
\(409\) −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
\(414\) 2.87276 0.558762i 0.141189 0.0274617i
\(415\) −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 \(-0.858739\pi\)
0.903134 0.429359i \(-0.141261\pi\)
\(420\) −1.94497 + 2.35972i −0.0949049 + 0.115143i
\(421\) 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
\(423\) −16.7921 19.3124i −0.816458 0.939003i
\(424\) 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 0.952183 0.305527i \(-0.0988327\pi\)
−0.740686 + 0.671851i \(0.765499\pi\)
\(432\) 2.71577 + 4.42997i 0.130663 + 0.213137i
\(433\) 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
\(435\) 7.04443 8.54661i 0.337755 0.409779i
\(436\) 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
\(441\) −2.22405 11.4345i −0.105907 0.544501i
\(442\) 6.00295 10.3974i 0.285531 0.494554i
\(443\) −12.9795 + 7.49371i −0.616674 + 0.356037i −0.775573 0.631258i \(-0.782539\pi\)
0.158899 + 0.987295i \(0.449206\pi\)
\(444\) −14.0483 2.35002i −0.666703 0.111527i
\(445\) 8.72262i 0.413492i
\(446\) −1.45190 + 0.838252i −0.0687492 + 0.0396924i
\(447\) −1.66458 4.45131i −0.0787318 0.210540i
\(448\) −1.76552 −0.0834131
\(449\) 1.07127 0.0505565 0.0252782 0.999680i \(-0.491953\pi\)
0.0252782 + 0.999680i \(0.491953\pi\)
\(450\) 0.572776 + 2.94481i 0.0270009 + 0.138820i
\(451\) 0.348429 + 0.201166i 0.0164069 + 0.00947252i
\(452\) −6.34499 10.9898i −0.298443 0.516919i
\(453\) 25.0737 30.4206i 1.17807 1.42928i
\(454\) 5.62519 9.74312i 0.264003 0.457267i
\(455\) −6.63392 −0.311003
\(456\) 4.88694 + 5.75480i 0.228852 + 0.269493i
\(457\) −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
\(459\) −14.1546 + 8.67742i −0.660681 + 0.405027i
\(460\) 0.487767 + 0.844837i 0.0227422 + 0.0393907i
\(461\) −2.94051 1.69770i −0.136953 0.0790699i 0.429958 0.902849i \(-0.358528\pi\)
−0.566911 + 0.823779i \(0.691862\pi\)
\(462\) 3.24196 + 8.66946i 0.150830 + 0.403340i
\(463\) −14.1271 −0.656543 −0.328271 0.944583i \(-0.606466\pi\)
−0.328271 + 0.944583i \(0.606466\pi\)
\(464\) 6.39449 0.296857
\(465\) −12.4000 + 4.63701i −0.575036 + 0.215036i
\(466\) −9.24441 + 5.33726i −0.428239 + 0.247244i
\(467\) 11.4238i 0.528631i −0.964436 0.264315i \(-0.914854\pi\)
0.964436 0.264315i \(-0.0851460\pi\)
\(468\) −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
\(471\) −13.0145 + 4.86679i −0.599675 + 0.224250i
\(472\) −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
\(477\) 26.8144 23.3150i 1.22775 1.06752i
\(478\) 19.0417 + 10.9937i 0.870946 + 0.502841i
\(479\) 31.4439 18.1542i 1.43671 0.829485i 0.439091 0.898443i \(-0.355301\pi\)
0.997620 + 0.0689574i \(0.0219673\pi\)
\(480\) −1.10164 + 1.33656i −0.0502828 + 0.0610053i
\(481\) −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
\(489\) 4.95265 + 4.08215i 0.223966 + 0.184601i
\(490\) 3.36272 1.94147i 0.151912 0.0877065i
\(491\) −19.3513 11.1725i −0.873313 0.504208i −0.00486554 0.999988i \(-0.501549\pi\)
−0.868448 + 0.495780i \(0.834882\pi\)
\(492\) 0.177661 + 0.146435i 0.00800957 + 0.00660178i
\(493\) 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
\(498\) 2.83395 + 7.57836i 0.126992 + 0.339595i
\(499\) 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 −0.985485 0.169761i \(-0.945701\pi\)
−0.345726 + 0.938336i \(0.612367\pi\)
\(504\) 1.01125 + 5.19913i 0.0450446 + 0.231588i
\(505\) 15.9317 0.708950
\(506\) 2.95272 0.131264
\(507\) −1.81484 + 0.678663i −0.0805999 + 0.0301405i
\(508\) −3.90891 2.25681i −0.173430 0.100130i
\(509\) 18.5767 + 32.1758i 0.823398 + 1.42617i 0.903138 + 0.429351i \(0.141258\pi\)
−0.0797396 + 0.996816i \(0.525409\pi\)
\(510\) −4.27057 3.51996i −0.189104 0.155866i
\(511\) −0.843794 + 1.46149i −0.0373273 + 0.0646527i
\(512\) −1.00000 −0.0441942
\(513\) 14.1477 17.6874i 0.624636 0.780916i
\(514\) 24.9464 1.10034
\(515\) −3.12230 + 5.40798i −0.137585 + 0.238304i
\(516\) −13.1544 10.8423i −0.579088 0.477306i
\(517\) −12.9101 22.3610i −0.567787 0.983437i
\(518\) −12.5736 7.25937i −0.552452 0.318959i
\(519\) −5.25916 + 1.96667i −0.230851 + 0.0863274i
\(520\) −3.75748 −0.164776
\(521\) 18.7548 0.821664 0.410832 0.911711i \(-0.365238\pi\)
0.410832 + 0.911711i \(0.365238\pi\)
\(522\) −3.66261 18.8306i −0.160308 0.824192i
\(523\) −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
\(528\) 1.83626 + 4.91042i 0.0799131 + 0.213699i
\(529\) −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
\(534\) 11.6583 + 9.60920i 0.504504 + 0.415831i
\(535\) −2.17252 1.25430i −0.0939260 0.0542282i
\(536\) −0.649931 + 0.375238i −0.0280727 + 0.0162078i
\(537\) −24.1032 19.8668i −1.04013 0.857314i
\(538\) −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
\(546\) −7.30819 + 8.86661i −0.312762 + 0.379456i
\(547\) −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
\(549\) 4.52808 3.93714i 0.193254 0.168033i
\(550\) 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
\(555\) −13.3412 + 4.98897i −0.566302 + 0.211770i
\(556\) −9.42690 + 16.3279i −0.399790 + 0.692456i
\(557\) −29.9344 + 17.2826i −1.26836 + 0.732288i −0.974678 0.223615i \(-0.928214\pi\)
−0.293683 + 0.955903i \(0.594881\pi\)
\(558\) −7.46271 + 21.6816i −0.315922 + 0.917857i
\(559\) 36.9810i 1.56413i
\(560\) −1.52899 + 0.882761i −0.0646115 + 0.0373035i
\(561\) −15.6898 + 5.86722i −0.662423 + 0.247714i
\(562\) −11.5496 −0.487193
\(563\) 37.7990 1.59304 0.796520 0.604612i \(-0.206672\pi\)
0.796520 + 0.604612i \(0.206672\pi\)
\(564\) −5.17530 13.8395i −0.217919 0.582747i
\(565\) −10.9898 6.34499i −0.462346 0.266936i
\(566\) 1.20364 + 2.08476i 0.0505926 + 0.0876290i
\(567\) 14.7313 5.95588i 0.618655 0.250123i
\(568\) 8.14418 14.1061i 0.341722 0.591880i
\(569\) −36.6704 −1.53730 −0.768652 0.639667i \(-0.779072\pi\)
−0.768652 + 0.639667i \(0.779072\pi\)
\(570\) 7.10962 + 2.54033i 0.297789 + 0.106403i
\(571\) 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
\(573\) −6.43111 + 7.80251i −0.268664 + 0.325954i
\(574\) 0.117340 + 0.203239i 0.00489768 + 0.00848304i
\(575\) 0.844837 + 0.487767i 0.0352321 + 0.0203413i
\(576\) 0.572776 + 2.94481i 0.0238657 + 0.122701i
\(577\) −16.0955 −0.670064 −0.335032 0.942207i \(-0.608747\pi\)
−0.335032 + 0.942207i \(0.608747\pi\)
\(578\) −6.79071 −0.282456
\(579\) −8.56738 22.9104i −0.356048 0.952122i
\(580\) 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
\(585\) 2.15220 + 11.0651i 0.0889823 + 0.457485i
\(586\) −6.13402 + 10.6244i −0.253394 + 0.438891i
\(587\) −11.3554 6.55606i −0.468688 0.270597i 0.247002 0.969015i \(-0.420555\pi\)
−0.715691 + 0.698418i \(0.753888\pi\)
\(588\) 1.10962 6.63327i 0.0457601 0.273551i
\(589\) −5.88021 + 32.7935i −0.242290 + 1.35123i
\(590\) 7.65515i 0.315158i
\(591\) 0.316241 0.383678i 0.0130084 0.0157824i
\(592\) −7.12175 4.11174i −0.292702 0.168992i
\(593\) −21.2078 + 12.2443i −0.870900 + 0.502814i −0.867647 0.497180i \(-0.834369\pi\)
−0.00325292 + 0.999995i \(0.501035\pi\)
\(594\) 13.4085 8.22003i 0.550158 0.337272i
\(595\) −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 0.687153 0.726513i \(-0.258860\pi\)
−0.972755 + 0.231835i \(0.925527\pi\)
\(600\) −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
\(603\) 1.47727 + 1.69900i 0.0601591 + 0.0691885i
\(604\) 19.7111 11.3802i 0.802032 0.463053i
\(605\) −1.59230 0.919316i −0.0647362 0.0373755i
\(606\) 17.5510 21.2936i 0.712960 0.864994i
\(607\) 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
\(612\) −9.40926 + 1.83013i −0.380347 + 0.0739787i
\(613\) 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 −0.672515 0.740083i \(-0.734786\pi\)
0.304673 + 0.952457i \(0.401453\pi\)
\(618\) 3.78843 + 10.1308i 0.152393 + 0.407520i
\(619\) −4.98387 −0.200318 −0.100159 0.994971i \(-0.531935\pi\)
−0.100159 + 0.994971i \(0.531935\pi\)
\(620\) −7.64334 −0.306964
\(621\) −0.133593 5.06726i −0.00536088 0.203342i
\(622\) 2.07949 + 1.20060i 0.0833801 + 0.0481395i
\(623\) 7.69999 + 13.3368i 0.308494 + 0.534327i
\(624\) −4.13939 + 5.02209i −0.165708 + 0.201045i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 7.70245 0.307852
\(627\) 17.4185 14.7917i 0.695628 0.590723i
\(628\) −8.02210 −0.320117
\(629\) 13.1378 22.7554i 0.523840 0.907317i
\(630\) 3.47533 + 3.99696i 0.138461 + 0.159243i
\(631\) −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
\(633\) 11.5603 + 30.9137i 0.459479 + 1.22871i
\(634\) −20.3985 −0.810129
\(635\) −4.51362 −0.179118
\(636\) 19.2154 7.18566i 0.761942 0.284930i
\(637\) 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 −0.997495 0.0707341i \(-0.977466\pi\)
0.560005 + 0.828489i \(0.310799\pi\)
\(642\) −4.06978 + 1.52190i −0.160621 + 0.0600647i
\(643\) −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 \(-0.983116\pi\)
0.998594 0.0530185i \(-0.0168842\pi\)
\(648\) 8.34386 3.37344i 0.327778 0.132521i
\(649\) 20.0662 + 11.5852i 0.787666 + 0.454759i
\(650\) −3.25407 + 1.87874i −0.127635 + 0.0736903i
\(651\) −14.8661 + 18.0362i −0.582647 + 0.706893i
\(652\) 1.85276 + 3.20908i 0.0725597 + 0.125677i
\(653\) 0.588679i 0.0230368i 0.999934 + 0.0115184i \(0.00366650\pi\)
−0.999934 + 0.0115184i \(0.996334\pi\)
\(654\) 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 0.997374 0.0724200i \(-0.0230722\pi\)
−0.561405 + 0.827541i \(0.689739\pi\)
\(660\) 4.04546 + 3.33442i 0.157469 + 0.129792i
\(661\) 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
\(663\) −16.0466 13.2262i −0.623198 0.513662i
\(664\) 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
\(669\) 1.01709 + 2.71984i 0.0393230 + 0.105155i
\(670\) −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
\(675\) 5.19435 0.136943i 0.199931 0.00527094i
\(676\) −1.11866 −0.0430255
\(677\) 15.1704 0.583047 0.291523 0.956564i \(-0.405838\pi\)
0.291523 + 0.956564i \(0.405838\pi\)
\(678\) −20.5873 + 7.69867i −0.790651 + 0.295666i
\(679\) 21.9344 + 12.6638i 0.841764 + 0.485993i
\(680\) −1.59760 2.76712i −0.0612651 0.106114i
\(681\) −15.0368 12.3939i −0.576211 0.474934i
\(682\) −11.5673 + 20.0352i −0.442936 + 0.767188i
\(683\) 26.8136 1.02599 0.512997 0.858390i \(-0.328535\pi\)
0.512997 + 0.858390i \(0.328535\pi\)
\(684\) 11.2276 6.70389i 0.429296 0.256330i
\(685\) 14.6857 0.561111
\(686\) 9.60703 16.6399i 0.366798 0.635313i
\(687\) 30.2752 + 24.9539i 1.15507 + 0.952052i
\(688\) −4.92098 8.52339i −0.187611 0.324951i
\(689\) 38.5424 + 22.2525i 1.46835 + 0.847752i
\(690\) 1.58264 0.591830i 0.0602499 0.0225306i
\(691\) −18.3997 −0.699959 −0.349980 0.936757i \(-0.613811\pi\)
−0.349980 + 0.936757i \(0.613811\pi\)
\(692\) −3.24174 −0.123232
\(693\) 15.7366 3.06082i 0.597784 0.116271i
\(694\) −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
\(699\) 6.47595 + 17.3176i 0.244943 + 0.655011i
\(700\) −0.882761 + 1.52899i −0.0333652 + 0.0577903i
\(701\) −4.07681 2.35374i −0.153979 0.0888997i 0.421031 0.907046i \(-0.361668\pi\)
−0.575010 + 0.818147i \(0.695002\pi\)
\(702\) 17.1601 + 9.31321i 0.647665 + 0.351504i
\(703\) −6.32653 + 35.2826i −0.238610 + 1.33071i
\(704\) 3.02678i 0.114076i
\(705\) −11.4017 9.39768i −0.429412 0.353937i
\(706\) 25.5556 + 14.7545i 0.961798 + 0.555294i
\(707\) 24.3593 14.0639i 0.916127 0.528926i
\(708\) 10.2316 + 8.43323i 0.384525 + 0.316940i
\(709\) 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
\(717\) 24.2222 29.3875i 0.904596 1.09750i
\(718\) −23.2838 + 13.4429i −0.868944 + 0.501685i
\(719\) −20.3745 11.7632i −0.759841 0.438694i 0.0693979 0.997589i \(-0.477892\pi\)
−0.829239 + 0.558895i \(0.811226\pi\)
\(720\) 1.96845 + 2.26390i 0.0733596 + 0.0843704i
\(721\) 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
\(726\) −2.98286 + 1.11545i −0.110704 + 0.0413982i
\(727\) 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
\(732\) 3.24486 1.21342i 0.119933 0.0448494i
\(733\) −46.1349 −1.70403 −0.852016 0.523515i \(-0.824620\pi\)
−0.852016 + 0.523515i \(0.824620\pi\)
\(734\) −8.20624 −0.302898
\(735\) −2.35567 6.29939i −0.0868902 0.232356i
\(736\) 0.844837 + 0.487767i 0.0311411 + 0.0179793i
\(737\) 1.13576 + 1.96719i 0.0418363 + 0.0724625i
\(738\) 0.300926 0.261654i 0.0110772 0.00963161i
\(739\) 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
\(741\) 26.7143 + 9.54526i 0.981373 + 0.350654i
\(742\) 20.9115 0.767685
\(743\) −16.8709 + 29.2213i −0.618935 + 1.07203i 0.370746 + 0.928734i \(0.379102\pi\)
−0.989680 + 0.143292i \(0.954231\pi\)
\(744\) −8.42021 + 10.2158i −0.308700 + 0.374528i
\(745\) −1.37189 2.37618i −0.0502622 0.0870566i
\(746\) 5.93798 + 3.42829i 0.217405 + 0.125519i
\(747\) 13.7561 2.67560i 0.503309 0.0978952i
\(748\) −9.67115 −0.353612
\(749\) −4.42900 −0.161832
\(750\) 0.606673 + 1.62233i 0.0221526 + 0.0592390i
\(751\) −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
\(756\) 9.17073 0.241776i 0.333536 0.00879331i
\(757\) −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 \(-0.772655\pi\)
0.755600 0.655033i \(-0.227345\pi\)
\(762\) −4.97239 + 6.03272i −0.180131 + 0.218542i
\(763\) 0.343445 + 0.198288i 0.0124335 + 0.00717850i
\(764\) −5.05565 + 2.91888i −0.182907 + 0.105601i
\(765\) −7.23359 + 6.28957i −0.261531 + 0.227400i
\(766\) 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 \(0.255819\pi\)
0.276432 + 0.961034i \(0.410848\pi\)
\(774\) −22.2812 + 19.3734i −0.800881 + 0.696362i
\(775\) −6.61932 + 3.82167i