Properties

Label 576.2.bm.a.205.7
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.7
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37855 - 0.315587i) q^{2} +(0.0432113 - 1.73151i) q^{3} +(1.80081 + 0.870107i) q^{4} +(0.456207 + 0.520204i) q^{5} +(-0.606012 + 2.37334i) q^{6} +(-4.15892 - 0.547533i) q^{7} +(-2.20791 - 1.76780i) q^{8} +(-2.99627 - 0.149642i) q^{9} +O(q^{10})\) \(q+(-1.37855 - 0.315587i) q^{2} +(0.0432113 - 1.73151i) q^{3} +(1.80081 + 0.870107i) q^{4} +(0.456207 + 0.520204i) q^{5} +(-0.606012 + 2.37334i) q^{6} +(-4.15892 - 0.547533i) q^{7} +(-2.20791 - 1.76780i) q^{8} +(-2.99627 - 0.149642i) q^{9} +(-0.464735 - 0.861101i) q^{10} +(2.53133 + 5.13303i) q^{11} +(1.58442 - 3.08052i) q^{12} +(-0.126039 - 0.371298i) q^{13} +(5.56050 + 2.06730i) q^{14} +(0.920453 - 0.767449i) q^{15} +(2.48583 + 3.13379i) q^{16} +(0.495912 + 0.495912i) q^{17} +(4.08328 + 1.15187i) q^{18} +(-1.00258 + 5.04033i) q^{19} +(0.368908 + 1.33374i) q^{20} +(-1.12777 + 7.17756i) q^{21} +(-1.86965 - 7.87500i) q^{22} +(0.602772 + 4.57851i) q^{23} +(-3.15637 + 3.74664i) q^{24} +(0.590143 - 4.48258i) q^{25} +(0.0565739 + 0.551630i) q^{26} +(-0.388579 + 5.18160i) q^{27} +(-7.01302 - 4.60471i) q^{28} +(5.98290 - 0.392140i) q^{29} +(-1.51109 + 0.767484i) q^{30} +(-6.11611 + 3.53114i) q^{31} +(-2.43786 - 5.10459i) q^{32} +(8.99728 - 4.16122i) q^{33} +(-0.527137 - 0.840144i) q^{34} +(-1.61250 - 2.41328i) q^{35} +(-5.26550 - 2.87655i) q^{36} +(-1.01378 - 5.09660i) q^{37} +(2.97278 - 6.63196i) q^{38} +(-0.648353 + 0.202193i) q^{39} +(-0.0876489 - 1.95505i) q^{40} +(0.794726 + 6.03654i) q^{41} +(3.81984 - 9.53873i) q^{42} +(-4.43232 + 2.18578i) q^{43} +(0.0921599 + 11.4461i) q^{44} +(-1.28907 - 1.62694i) q^{45} +(0.613966 - 6.50194i) q^{46} +(4.02889 - 1.07954i) q^{47} +(5.53361 - 4.16883i) q^{48} +(10.2354 + 2.74256i) q^{49} +(-2.22819 + 5.99323i) q^{50} +(0.880107 - 0.837249i) q^{51} +(0.0960972 - 0.778304i) q^{52} +(-5.71372 + 8.55118i) q^{53} +(2.17092 - 7.02048i) q^{54} +(-1.51541 + 3.65853i) q^{55} +(8.21462 + 8.56105i) q^{56} +(8.68408 + 1.95379i) q^{57} +(-8.37149 - 1.34754i) q^{58} +(5.63798 + 6.42889i) q^{59} +(2.32532 - 0.581137i) q^{60} +(-0.516718 - 7.88359i) q^{61} +(9.54576 - 2.93769i) q^{62} +(12.3793 + 2.26290i) q^{63} +(1.74977 + 7.80630i) q^{64} +(0.135651 - 0.234954i) q^{65} +(-13.7165 + 2.89703i) q^{66} +(7.22920 + 3.56504i) q^{67} +(0.461547 + 1.32454i) q^{68} +(7.95379 - 0.845864i) q^{69} +(1.46132 + 3.83571i) q^{70} +(0.125542 + 0.303085i) q^{71} +(6.35096 + 5.62719i) q^{72} +(-3.86075 + 9.32067i) q^{73} +(-0.210878 + 7.34587i) q^{74} +(-7.73614 - 1.21554i) q^{75} +(-6.19109 + 8.20433i) q^{76} +(-7.71711 - 22.7339i) q^{77} +(0.957598 - 0.0741218i) q^{78} +(-0.653014 - 2.43708i) q^{79} +(-0.496160 + 2.72280i) q^{80} +(8.95521 + 0.896733i) q^{81} +(0.809485 - 8.57249i) q^{82} +(2.99463 + 2.62622i) q^{83} +(-8.27615 + 11.9441i) q^{84} +(-0.0317371 + 0.484214i) q^{85} +(6.79999 - 1.61442i) q^{86} +(-0.420466 - 10.3764i) q^{87} +(3.48521 - 15.8082i) q^{88} +(-8.36281 + 3.46399i) q^{89} +(1.26361 + 2.64963i) q^{90} +(0.320887 + 1.61321i) q^{91} +(-2.89831 + 8.76950i) q^{92} +(5.84992 + 10.7427i) q^{93} +(-5.89472 + 0.216732i) q^{94} +(-3.07939 + 1.77789i) q^{95} +(-8.94400 + 4.00060i) q^{96} +(9.41224 + 5.43416i) q^{97} +(-13.2445 - 7.01091i) q^{98} +(-6.81642 - 15.7587i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37855 0.315587i −0.974783 0.223154i
\(3\) 0.0432113 1.73151i 0.0249481 0.999689i
\(4\) 1.80081 + 0.870107i 0.900405 + 0.435053i
\(5\) 0.456207 + 0.520204i 0.204022 + 0.232642i 0.844798 0.535086i \(-0.179721\pi\)
−0.640776 + 0.767728i \(0.721387\pi\)
\(6\) −0.606012 + 2.37334i −0.247403 + 0.968913i
\(7\) −4.15892 0.547533i −1.57192 0.206948i −0.706400 0.707813i \(-0.749682\pi\)
−0.865525 + 0.500865i \(0.833015\pi\)
\(8\) −2.20791 1.76780i −0.780616 0.625011i
\(9\) −2.99627 0.149642i −0.998755 0.0498806i
\(10\) −0.464735 0.861101i −0.146962 0.272304i
\(11\) 2.53133 + 5.13303i 0.763225 + 1.54767i 0.835002 + 0.550246i \(0.185466\pi\)
−0.0717776 + 0.997421i \(0.522867\pi\)
\(12\) 1.58442 3.08052i 0.457381 0.889271i
\(13\) −0.126039 0.371298i −0.0349568 0.102980i 0.928051 0.372454i \(-0.121483\pi\)
−0.963008 + 0.269474i \(0.913150\pi\)
\(14\) 5.56050 + 2.06730i 1.48610 + 0.552510i
\(15\) 0.920453 0.767449i 0.237660 0.198154i
\(16\) 2.48583 + 3.13379i 0.621457 + 0.783448i
\(17\) 0.495912 + 0.495912i 0.120276 + 0.120276i 0.764683 0.644407i \(-0.222896\pi\)
−0.644407 + 0.764683i \(0.722896\pi\)
\(18\) 4.08328 + 1.15187i 0.962439 + 0.271499i
\(19\) −1.00258 + 5.04033i −0.230009 + 1.15633i 0.677248 + 0.735755i \(0.263172\pi\)
−0.907257 + 0.420577i \(0.861828\pi\)
\(20\) 0.368908 + 1.33374i 0.0824904 + 0.298233i
\(21\) −1.12777 + 7.17756i −0.246100 + 1.56627i
\(22\) −1.86965 7.87500i −0.398611 1.67896i
\(23\) 0.602772 + 4.57851i 0.125687 + 0.954685i 0.931812 + 0.362941i \(0.118227\pi\)
−0.806126 + 0.591745i \(0.798439\pi\)
\(24\) −3.15637 + 3.74664i −0.644292 + 0.764780i
\(25\) 0.590143 4.48258i 0.118029 0.896517i
\(26\) 0.0565739 + 0.551630i 0.0110951 + 0.108183i
\(27\) −0.388579 + 5.18160i −0.0747821 + 0.997200i
\(28\) −7.01302 4.60471i −1.32534 0.870208i
\(29\) 5.98290 0.392140i 1.11100 0.0728185i 0.501166 0.865351i \(-0.332905\pi\)
0.609830 + 0.792533i \(0.291238\pi\)
\(30\) −1.51109 + 0.767484i −0.275886 + 0.140123i
\(31\) −6.11611 + 3.53114i −1.09849 + 0.634211i −0.935823 0.352470i \(-0.885342\pi\)
−0.162663 + 0.986682i \(0.552008\pi\)
\(32\) −2.43786 5.10459i −0.430957 0.902373i
\(33\) 8.99728 4.16122i 1.56623 0.724376i
\(34\) −0.527137 0.840144i −0.0904032 0.144084i
\(35\) −1.61250 2.41328i −0.272562 0.407918i
\(36\) −5.26550 2.87655i −0.877583 0.479424i
\(37\) −1.01378 5.09660i −0.166664 0.837876i −0.970141 0.242541i \(-0.922019\pi\)
0.803477 0.595335i \(-0.202981\pi\)
\(38\) 2.97278 6.63196i 0.482249 1.07585i
\(39\) −0.648353 + 0.202193i −0.103820 + 0.0323768i
\(40\) −0.0876489 1.95505i −0.0138585 0.309120i
\(41\) 0.794726 + 6.03654i 0.124115 + 0.942750i 0.934278 + 0.356545i \(0.116045\pi\)
−0.810163 + 0.586205i \(0.800621\pi\)
\(42\) 3.81984 9.53873i 0.589414 1.47186i
\(43\) −4.43232 + 2.18578i −0.675923 + 0.333328i −0.747647 0.664096i \(-0.768816\pi\)
0.0717244 + 0.997424i \(0.477150\pi\)
\(44\) 0.0921599 + 11.4461i 0.0138936 + 1.72557i
\(45\) −1.28907 1.62694i −0.192164 0.242529i
\(46\) 0.613966 6.50194i 0.0905244 0.958659i
\(47\) 4.02889 1.07954i 0.587674 0.157467i 0.0472840 0.998881i \(-0.484943\pi\)
0.540390 + 0.841415i \(0.318277\pi\)
\(48\) 5.53361 4.16883i 0.798708 0.601718i
\(49\) 10.2354 + 2.74256i 1.46219 + 0.391794i
\(50\) −2.22819 + 5.99323i −0.315114 + 0.847571i
\(51\) 0.880107 0.837249i 0.123240 0.117238i
\(52\) 0.0960972 0.778304i 0.0133263 0.107931i
\(53\) −5.71372 + 8.55118i −0.784839 + 1.17459i 0.196158 + 0.980572i \(0.437153\pi\)
−0.980997 + 0.194022i \(0.937847\pi\)
\(54\) 2.17092 7.02048i 0.295425 0.955366i
\(55\) −1.51541 + 3.65853i −0.204338 + 0.493316i
\(56\) 8.21462 + 8.56105i 1.09772 + 1.14402i
\(57\) 8.68408 + 1.95379i 1.15023 + 0.258785i
\(58\) −8.37149 1.34754i −1.09923 0.176941i
\(59\) 5.63798 + 6.42889i 0.734003 + 0.836970i 0.991608 0.129280i \(-0.0412667\pi\)
−0.257605 + 0.966250i \(0.582933\pi\)
\(60\) 2.32532 0.581137i 0.300198 0.0750244i
\(61\) −0.516718 7.88359i −0.0661589 1.00939i −0.893896 0.448274i \(-0.852039\pi\)
0.827737 0.561116i \(-0.189628\pi\)
\(62\) 9.54576 2.93769i 1.21231 0.373087i
\(63\) 12.3793 + 2.26290i 1.55965 + 0.285099i
\(64\) 1.74977 + 7.80630i 0.218721 + 0.975787i
\(65\) 0.135651 0.234954i 0.0168254 0.0291425i
\(66\) −13.7165 + 2.89703i −1.68838 + 0.356600i
\(67\) 7.22920 + 3.56504i 0.883187 + 0.435540i 0.826555 0.562856i \(-0.190297\pi\)
0.0566315 + 0.998395i \(0.481964\pi\)
\(68\) 0.461547 + 1.32454i 0.0559708 + 0.160624i
\(69\) 7.95379 0.845864i 0.957524 0.101830i
\(70\) 1.46132 + 3.83571i 0.174661 + 0.458455i
\(71\) 0.125542 + 0.303085i 0.0148991 + 0.0359696i 0.931154 0.364626i \(-0.118803\pi\)
−0.916255 + 0.400596i \(0.868803\pi\)
\(72\) 6.35096 + 5.62719i 0.748468 + 0.663171i
\(73\) −3.86075 + 9.32067i −0.451866 + 1.09090i 0.519745 + 0.854321i \(0.326027\pi\)
−0.971612 + 0.236581i \(0.923973\pi\)
\(74\) −0.210878 + 7.34587i −0.0245141 + 0.853939i
\(75\) −7.73614 1.21554i −0.893293 0.140358i
\(76\) −6.19109 + 8.20433i −0.710167 + 0.941101i
\(77\) −7.71711 22.7339i −0.879446 2.59076i
\(78\) 0.957598 0.0741218i 0.108427 0.00839264i
\(79\) −0.653014 2.43708i −0.0734698 0.274193i 0.919412 0.393295i \(-0.128665\pi\)
−0.992882 + 0.119102i \(0.961998\pi\)
\(80\) −0.496160 + 2.72280i −0.0554723 + 0.304418i
\(81\) 8.95521 + 0.896733i 0.995024 + 0.0996370i
\(82\) 0.809485 8.57249i 0.0893927 0.946674i
\(83\) 2.99463 + 2.62622i 0.328703 + 0.288265i 0.807751 0.589524i \(-0.200685\pi\)
−0.479048 + 0.877789i \(0.659018\pi\)
\(84\) −8.27615 + 11.9441i −0.903002 + 1.30321i
\(85\) −0.0317371 + 0.484214i −0.00344237 + 0.0525204i
\(86\) 6.79999 1.61442i 0.733261 0.174088i
\(87\) −0.420466 10.3764i −0.0450787 1.11247i
\(88\) 3.48521 15.8082i 0.371524 1.68516i
\(89\) −8.36281 + 3.46399i −0.886457 + 0.367182i −0.778997 0.627027i \(-0.784271\pi\)
−0.107459 + 0.994209i \(0.534271\pi\)
\(90\) 1.26361 + 2.64963i 0.133196 + 0.279296i
\(91\) 0.320887 + 1.61321i 0.0336381 + 0.169110i
\(92\) −2.89831 + 8.76950i −0.302170 + 0.914283i
\(93\) 5.84992 + 10.7427i 0.606609 + 1.11397i
\(94\) −5.89472 + 0.216732i −0.607994 + 0.0223542i
\(95\) −3.07939 + 1.77789i −0.315939 + 0.182407i
\(96\) −8.94400 + 4.00060i −0.912843 + 0.408310i
\(97\) 9.41224 + 5.43416i 0.955668 + 0.551755i 0.894837 0.446393i \(-0.147292\pi\)
0.0608312 + 0.998148i \(0.480625\pi\)
\(98\) −13.2445 7.01091i −1.33789 0.708209i
\(99\) −6.81642 15.7587i −0.685076 1.58381i
\(100\) 4.96306 7.55879i 0.496306 0.755879i
\(101\) −13.4007 4.54893i −1.33342 0.452636i −0.438449 0.898756i \(-0.644472\pi\)
−0.894973 + 0.446121i \(0.852805\pi\)
\(102\) −1.47750 + 0.876440i −0.146294 + 0.0867805i
\(103\) −1.80991 1.38879i −0.178336 0.136842i 0.515736 0.856747i \(-0.327518\pi\)
−0.694072 + 0.719906i \(0.744185\pi\)
\(104\) −0.378098 + 1.04261i −0.0370755 + 0.102236i
\(105\) −4.24829 + 2.68778i −0.414591 + 0.262301i
\(106\) 10.5753 9.98507i 1.02716 0.969835i
\(107\) −13.0200 8.69966i −1.25869 0.841028i −0.266264 0.963900i \(-0.585789\pi\)
−0.992422 + 0.122872i \(0.960789\pi\)
\(108\) −5.20830 + 8.99297i −0.501169 + 0.865349i
\(109\) 0.0656370 0.329980i 0.00628689 0.0316063i −0.977515 0.210868i \(-0.932371\pi\)
0.983801 + 0.179262i \(0.0573709\pi\)
\(110\) 3.24366 4.56523i 0.309271 0.435278i
\(111\) −8.86863 + 1.53514i −0.841773 + 0.145709i
\(112\) −8.62252 14.3943i −0.814751 1.36013i
\(113\) −2.38654 0.639472i −0.224507 0.0601564i 0.144812 0.989459i \(-0.453742\pi\)
−0.369319 + 0.929303i \(0.620409\pi\)
\(114\) −11.3549 5.43398i −1.06348 0.508939i
\(115\) −2.10677 + 2.40231i −0.196457 + 0.224017i
\(116\) 11.1153 + 4.49959i 1.03203 + 0.417776i
\(117\) 0.322084 + 1.13137i 0.0297766 + 0.104595i
\(118\) −5.74338 10.6418i −0.528721 0.979660i
\(119\) −1.79093 2.33399i −0.164174 0.213956i
\(120\) −3.38898 + 0.0672848i −0.309370 + 0.00614224i
\(121\) −13.2440 + 17.2599i −1.20400 + 1.56908i
\(122\) −1.77564 + 11.0310i −0.160759 + 0.998700i
\(123\) 10.4867 1.11523i 0.945553 0.100557i
\(124\) −14.0864 + 1.03724i −1.26500 + 0.0931468i
\(125\) 5.47759 3.66001i 0.489930 0.327361i
\(126\) −16.3514 7.02628i −1.45670 0.625950i
\(127\) −13.3081 −1.18090 −0.590452 0.807073i \(-0.701051\pi\)
−0.590452 + 0.807073i \(0.701051\pi\)
\(128\) 0.0514193 11.3136i 0.00454487 0.999990i
\(129\) 3.59317 + 7.76907i 0.316361 + 0.684028i
\(130\) −0.261151 + 0.281087i −0.0229044 + 0.0246530i
\(131\) −13.5432 6.67877i −1.18327 0.583526i −0.259232 0.965815i \(-0.583469\pi\)
−0.924043 + 0.382289i \(0.875136\pi\)
\(132\) 19.8231 + 0.335027i 1.72538 + 0.0291603i
\(133\) 6.92942 20.4134i 0.600857 1.77007i
\(134\) −8.84074 7.19604i −0.763723 0.621643i
\(135\) −2.87276 + 2.16174i −0.247248 + 0.186053i
\(136\) −0.218258 1.97160i −0.0187155 0.169064i
\(137\) 11.4848 + 14.9673i 0.981211 + 1.27874i 0.960303 + 0.278958i \(0.0899889\pi\)
0.0209075 + 0.999781i \(0.493344\pi\)
\(138\) −11.2317 1.34405i −0.956102 0.114413i
\(139\) 14.5556 + 0.954024i 1.23459 + 0.0809192i 0.668681 0.743549i \(-0.266859\pi\)
0.565908 + 0.824468i \(0.308526\pi\)
\(140\) −0.803997 5.74890i −0.0679501 0.485871i
\(141\) −1.69514 7.02272i −0.142756 0.591419i
\(142\) −0.0774163 0.457438i −0.00649663 0.0383873i
\(143\) 1.58684 1.58684i 0.132698 0.132698i
\(144\) −6.97926 9.76166i −0.581605 0.813472i
\(145\) 2.93343 + 2.93343i 0.243608 + 0.243608i
\(146\) 8.26373 11.6306i 0.683911 0.962557i
\(147\) 5.19105 17.6041i 0.428151 1.45197i
\(148\) 2.60897 10.0601i 0.214456 0.826935i
\(149\) 1.21920 18.6014i 0.0998806 1.52388i −0.594394 0.804174i \(-0.702608\pi\)
0.694275 0.719710i \(-0.255725\pi\)
\(150\) 10.2811 + 4.11711i 0.839446 + 0.336161i
\(151\) −7.10085 + 5.44868i −0.577859 + 0.443407i −0.855885 0.517167i \(-0.826987\pi\)
0.278025 + 0.960574i \(0.410320\pi\)
\(152\) 11.1239 9.35626i 0.902269 0.758893i
\(153\) −1.41168 1.56009i −0.114127 0.126126i
\(154\) 3.46391 + 33.7752i 0.279130 + 2.72169i
\(155\) −4.62713 1.57070i −0.371660 0.126161i
\(156\) −1.34349 0.200025i −0.107565 0.0160148i
\(157\) −9.51570 + 19.2959i −0.759436 + 1.53998i 0.0801660 + 0.996782i \(0.474455\pi\)
−0.839602 + 0.543202i \(0.817212\pi\)
\(158\) 0.131102 + 3.56572i 0.0104299 + 0.283674i
\(159\) 14.5596 + 10.2629i 1.15465 + 0.813899i
\(160\) 1.54326 3.59693i 0.122006 0.284362i
\(161\) 19.3717i 1.52670i
\(162\) −12.0622 4.06234i −0.947698 0.319168i
\(163\) −9.84118 14.7284i −0.770821 1.15362i −0.984272 0.176661i \(-0.943470\pi\)
0.213451 0.976954i \(-0.431530\pi\)
\(164\) −3.82129 + 11.5622i −0.298392 + 0.902853i
\(165\) 6.26931 + 2.78205i 0.488065 + 0.216582i
\(166\) −3.29945 4.56544i −0.256087 0.354347i
\(167\) 6.90864 + 5.30118i 0.534606 + 0.410218i 0.840471 0.541857i \(-0.182279\pi\)
−0.305864 + 0.952075i \(0.598945\pi\)
\(168\) 15.1785 13.8538i 1.17105 1.06884i
\(169\) 10.1916 7.82030i 0.783971 0.601562i
\(170\) 0.196563 0.657498i 0.0150757 0.0504278i
\(171\) 3.75826 14.9522i 0.287401 1.14342i
\(172\) −9.88363 + 0.0795791i −0.753619 + 0.00606785i
\(173\) 7.85163 + 6.88570i 0.596948 + 0.523510i 0.903636 0.428300i \(-0.140887\pi\)
−0.306688 + 0.951810i \(0.599221\pi\)
\(174\) −2.69503 + 14.4371i −0.204309 + 1.09447i
\(175\) −4.90872 + 18.3196i −0.371064 + 1.38483i
\(176\) −9.79340 + 20.6925i −0.738205 + 1.55976i
\(177\) 11.3753 9.48444i 0.855022 0.712894i
\(178\) 12.6218 2.13609i 0.946041 0.160107i
\(179\) 4.49662 + 0.894434i 0.336093 + 0.0668531i 0.360252 0.932855i \(-0.382691\pi\)
−0.0241587 + 0.999708i \(0.507691\pi\)
\(180\) −0.905765 4.05143i −0.0675117 0.301976i
\(181\) −9.23300 + 13.8182i −0.686283 + 1.02710i 0.310778 + 0.950483i \(0.399411\pi\)
−0.997061 + 0.0766129i \(0.975589\pi\)
\(182\) 0.0667486 2.32516i 0.00494774 0.172352i
\(183\) −13.6729 + 0.554043i −1.01073 + 0.0409560i
\(184\) 6.76302 11.1745i 0.498576 0.823798i
\(185\) 2.18878 2.85248i 0.160922 0.209718i
\(186\) −4.67416 16.6555i −0.342726 1.22124i
\(187\) −1.29021 + 3.80085i −0.0943498 + 0.277946i
\(188\) 8.19457 + 1.56152i 0.597651 + 0.113886i
\(189\) 4.45317 21.3371i 0.323920 1.55205i
\(190\) 4.80617 1.47909i 0.348677 0.107305i
\(191\) −3.85936 + 6.68461i −0.279253 + 0.483681i −0.971199 0.238268i \(-0.923420\pi\)
0.691946 + 0.721949i \(0.256754\pi\)
\(192\) 13.5923 2.69243i 0.980940 0.194309i
\(193\) −0.0206971 0.0358485i −0.00148981 0.00258043i 0.865280 0.501290i \(-0.167141\pi\)
−0.866769 + 0.498709i \(0.833808\pi\)
\(194\) −11.2603 10.4617i −0.808443 0.751103i
\(195\) −0.400965 0.245034i −0.0287137 0.0175473i
\(196\) 16.0456 + 13.8447i 1.14612 + 0.988906i
\(197\) −8.98209 + 1.78665i −0.639947 + 0.127293i −0.504390 0.863476i \(-0.668283\pi\)
−0.135557 + 0.990769i \(0.543283\pi\)
\(198\) 4.42354 + 23.8754i 0.314367 + 1.69675i
\(199\) −2.34898 5.67094i −0.166515 0.402002i 0.818492 0.574518i \(-0.194810\pi\)
−0.985007 + 0.172516i \(0.944810\pi\)
\(200\) −9.22729 + 8.85390i −0.652468 + 0.626066i
\(201\) 6.48530 12.3634i 0.457438 0.872046i
\(202\) 17.0380 + 10.5000i 1.19879 + 0.738780i
\(203\) −25.0971 1.64495i −1.76147 0.115453i
\(204\) 2.31340 0.741939i 0.161970 0.0519461i
\(205\) −2.77768 + 3.16733i −0.194001 + 0.221216i
\(206\) 2.05677 + 2.48571i 0.143302 + 0.173187i
\(207\) −1.12093 13.8086i −0.0779100 0.959766i
\(208\) 0.850260 1.31796i 0.0589549 0.0913842i
\(209\) −28.4101 + 7.61245i −1.96517 + 0.526564i
\(210\) 6.70472 2.36454i 0.462670 0.163169i
\(211\) −18.9900 + 6.44624i −1.30733 + 0.443778i −0.886233 0.463240i \(-0.846687\pi\)
−0.421093 + 0.907017i \(0.638354\pi\)
\(212\) −17.7297 + 10.4275i −1.21768 + 0.716164i
\(213\) 0.530220 0.204281i 0.0363301 0.0139971i
\(214\) 15.2032 + 16.1019i 1.03927 + 1.10070i
\(215\) −3.15911 1.30854i −0.215449 0.0892420i
\(216\) 10.0180 10.7536i 0.681637 0.731690i
\(217\) 27.3699 11.3370i 1.85799 0.769603i
\(218\) −0.194621 + 0.434180i −0.0131814 + 0.0294064i
\(219\) 15.9720 + 7.08769i 1.07929 + 0.478942i
\(220\) −5.91228 + 5.26975i −0.398606 + 0.355286i
\(221\) 0.121627 0.246635i 0.00818152 0.0165905i
\(222\) 12.7103 + 0.682563i 0.853062 + 0.0458106i
\(223\) −14.1981 8.19730i −0.950778 0.548932i −0.0574555 0.998348i \(-0.518299\pi\)
−0.893323 + 0.449416i \(0.851632\pi\)
\(224\) 7.34394 + 22.5644i 0.490687 + 1.50765i
\(225\) −2.43901 + 13.3427i −0.162601 + 0.889513i
\(226\) 3.08816 + 1.63471i 0.205421 + 0.108739i
\(227\) −2.73626 + 0.179344i −0.181612 + 0.0119035i −0.155938 0.987767i \(-0.549840\pi\)
−0.0256741 + 0.999670i \(0.508173\pi\)
\(228\) 13.9384 + 11.0745i 0.923091 + 0.733425i
\(229\) 14.5846 12.7904i 0.963780 0.845212i −0.0242138 0.999707i \(-0.507708\pi\)
0.987994 + 0.154495i \(0.0493749\pi\)
\(230\) 3.66243 2.64684i 0.241494 0.174527i
\(231\) −39.6974 + 12.3799i −2.61190 + 0.814538i
\(232\) −13.9029 9.71075i −0.912773 0.637542i
\(233\) −10.4706 4.33705i −0.685949 0.284129i 0.0123624 0.999924i \(-0.496065\pi\)
−0.698311 + 0.715794i \(0.746065\pi\)
\(234\) −0.0869637 1.66129i −0.00568499 0.108602i
\(235\) 2.39959 + 1.60335i 0.156532 + 0.104591i
\(236\) 4.55912 + 16.4829i 0.296773 + 1.07294i
\(237\) −4.24805 + 1.02539i −0.275940 + 0.0666063i
\(238\) 1.73232 + 3.78272i 0.112289 + 0.245197i
\(239\) −2.57283 + 9.60193i −0.166422 + 0.621097i 0.831432 + 0.555626i \(0.187522\pi\)
−0.997855 + 0.0654705i \(0.979145\pi\)
\(240\) 4.69311 + 0.976762i 0.302939 + 0.0630497i
\(241\) 0.0340317 + 0.127008i 0.00219218 + 0.00818131i 0.967013 0.254726i \(-0.0819853\pi\)
−0.964821 + 0.262907i \(0.915319\pi\)
\(242\) 23.7045 19.6140i 1.52379 1.26084i
\(243\) 1.93967 15.4673i 0.124430 0.992228i
\(244\) 5.92905 14.6464i 0.379569 0.937642i
\(245\) 3.24275 + 6.57565i 0.207172 + 0.420103i
\(246\) −14.8084 1.77206i −0.944149 0.112983i
\(247\) 1.99783 0.263019i 0.127119 0.0167355i
\(248\) 19.7462 + 3.01561i 1.25389 + 0.191491i
\(249\) 4.67673 5.07175i 0.296375 0.321409i
\(250\) −8.70619 + 3.31685i −0.550628 + 0.209776i
\(251\) 20.7234 4.12214i 1.30805 0.260187i 0.508642 0.860978i \(-0.330148\pi\)
0.799406 + 0.600791i \(0.205148\pi\)
\(252\) 20.3238 + 14.8464i 1.28028 + 0.935233i
\(253\) −21.9758 + 14.6838i −1.38161 + 0.923161i
\(254\) 18.3459 + 4.19987i 1.15113 + 0.263523i
\(255\) 0.837051 + 0.0758766i 0.0524181 + 0.00475158i
\(256\) −3.64131 + 15.5801i −0.227582 + 0.973759i
\(257\) −1.20712 2.09079i −0.0752978 0.130420i 0.825918 0.563790i \(-0.190657\pi\)
−0.901216 + 0.433371i \(0.857324\pi\)
\(258\) −2.50156 11.8440i −0.155740 0.737376i
\(259\) 1.42567 + 21.7515i 0.0885865 + 1.35157i
\(260\) 0.448717 0.305077i 0.0278283 0.0189201i
\(261\) −17.9850 + 0.279663i −1.11325 + 0.0173107i
\(262\) 16.5623 + 13.4811i 1.02322 + 0.832864i
\(263\) −11.3071 1.48861i −0.697226 0.0917915i −0.226422 0.974029i \(-0.572703\pi\)
−0.470804 + 0.882238i \(0.656036\pi\)
\(264\) −27.2214 6.71777i −1.67536 0.413450i
\(265\) −7.05499 + 0.928808i −0.433385 + 0.0570562i
\(266\) −15.9948 + 25.9541i −0.980703 + 1.59135i
\(267\) 5.63657 + 14.6300i 0.344953 + 0.895341i
\(268\) 9.91643 + 12.7101i 0.605743 + 0.776395i
\(269\) 21.9892 + 4.37392i 1.34070 + 0.266682i 0.812761 0.582598i \(-0.197964\pi\)
0.527943 + 0.849280i \(0.322964\pi\)
\(270\) 4.64247 2.07347i 0.282532 0.126187i
\(271\) 16.6597 16.6597i 1.01200 1.01200i 0.0120749 0.999927i \(-0.496156\pi\)
0.999927 0.0120749i \(-0.00384367\pi\)
\(272\) −0.321333 + 2.78684i −0.0194837 + 0.168977i
\(273\) 2.80716 0.485911i 0.169897 0.0294087i
\(274\) −11.1089 24.2576i −0.671112 1.46545i
\(275\) 24.5031 8.31768i 1.47759 0.501575i
\(276\) 15.0592 + 5.39741i 0.906460 + 0.324886i
\(277\) −9.37279 + 4.62215i −0.563157 + 0.277718i −0.701504 0.712666i \(-0.747488\pi\)
0.138347 + 0.990384i \(0.455821\pi\)
\(278\) −19.7646 5.90873i −1.18540 0.354382i
\(279\) 18.8539 9.66501i 1.12875 0.578629i
\(280\) −0.705928 + 8.17888i −0.0421872 + 0.488782i
\(281\) −0.923732 + 7.01644i −0.0551052 + 0.418566i 0.941552 + 0.336868i \(0.109368\pi\)
−0.996657 + 0.0816978i \(0.973966\pi\)
\(282\) 0.120556 + 10.2161i 0.00717900 + 0.608362i
\(283\) 21.0862 18.4921i 1.25344 1.09924i 0.262503 0.964931i \(-0.415452\pi\)
0.990940 0.134308i \(-0.0428812\pi\)
\(284\) −0.0376392 + 0.655033i −0.00223348 + 0.0388691i
\(285\) 2.94537 + 5.40882i 0.174468 + 0.320391i
\(286\) −2.68832 + 1.68675i −0.158964 + 0.0997398i
\(287\) 25.5407i 1.50762i
\(288\) 6.54061 + 15.6595i 0.385409 + 0.922746i
\(289\) 16.5081i 0.971067i
\(290\) −3.11813 4.96964i −0.183103 0.291827i
\(291\) 9.81603 16.0626i 0.575426 0.941606i
\(292\) −15.0624 + 13.4255i −0.881463 + 0.785667i
\(293\) 5.70975 5.00731i 0.333567 0.292530i −0.476134 0.879372i \(-0.657962\pi\)
0.809701 + 0.586842i \(0.199629\pi\)
\(294\) −12.7118 + 22.6300i −0.741366 + 1.31981i
\(295\) −0.772248 + 5.86580i −0.0449620 + 0.341520i
\(296\) −6.77144 + 13.0450i −0.393582 + 0.758226i
\(297\) −27.5809 + 11.1218i −1.60041 + 0.645350i
\(298\) −7.55109 + 25.2582i −0.437423 + 1.46317i
\(299\) 1.62402 0.800877i 0.0939194 0.0463159i
\(300\) −12.8737 8.92022i −0.743262 0.515009i
\(301\) 19.6305 6.66364i 1.13148 0.384086i
\(302\) 11.5084 5.27034i 0.662235 0.303274i
\(303\) −8.45559 + 23.0069i −0.485761 + 1.32171i
\(304\) −18.2876 + 9.38752i −1.04887 + 0.538411i
\(305\) 3.86534 3.86534i 0.221329 0.221329i
\(306\) 1.45372 + 2.59618i 0.0831037 + 0.148414i
\(307\) 4.96495 + 0.987590i 0.283365 + 0.0563647i 0.334726 0.942315i \(-0.391356\pi\)
−0.0513616 + 0.998680i \(0.516356\pi\)
\(308\) 5.88385 47.6541i 0.335263 2.71534i
\(309\) −2.48292 + 3.07387i −0.141248 + 0.174866i
\(310\) 5.88304 + 3.62555i 0.334134 + 0.205917i
\(311\) 27.2233 3.58401i 1.54369 0.203231i 0.689922 0.723884i \(-0.257645\pi\)
0.853768 + 0.520653i \(0.174311\pi\)
\(312\) 1.78895 + 0.699733i 0.101279 + 0.0396146i
\(313\) 23.6017 + 3.10722i 1.33405 + 0.175631i 0.763592 0.645699i \(-0.223434\pi\)
0.570455 + 0.821329i \(0.306767\pi\)
\(314\) 19.2074 23.5974i 1.08394 1.33168i
\(315\) 4.47035 + 7.47211i 0.251876 + 0.421006i
\(316\) 0.944566 4.95691i 0.0531360 0.278848i
\(317\) 0.566664 + 8.64561i 0.0318270 + 0.485586i 0.983784 + 0.179355i \(0.0574012\pi\)
−0.951957 + 0.306231i \(0.900932\pi\)
\(318\) −16.8323 18.7427i −0.943908 1.05104i
\(319\) 17.1576 + 29.7178i 0.960639 + 1.66387i
\(320\) −3.26261 + 4.47152i −0.182386 + 0.249966i
\(321\) −15.6262 + 22.1683i −0.872168 + 1.23731i
\(322\) −6.11346 + 26.7049i −0.340690 + 1.48821i
\(323\) −2.99676 + 2.00237i −0.166744 + 0.111415i
\(324\) 15.3464 + 9.40684i 0.852577 + 0.522602i
\(325\) −1.73875 + 0.345860i −0.0964488 + 0.0191849i
\(326\) 8.91849 + 23.4096i 0.493950 + 1.29654i
\(327\) −0.568527 0.127910i −0.0314396 0.00707345i
\(328\) 8.91671 14.7331i 0.492343 0.813499i
\(329\) −17.3469 + 2.28377i −0.956367 + 0.125908i
\(330\) −7.76459 5.81371i −0.427426 0.320034i
\(331\) −0.0103675 0.0210232i −0.000569850 0.00115554i 0.896588 0.442866i \(-0.146038\pi\)
−0.897157 + 0.441711i \(0.854372\pi\)
\(332\) 3.10766 + 7.33496i 0.170555 + 0.402558i
\(333\) 2.27488 + 15.4225i 0.124663 + 0.845147i
\(334\) −7.85093 9.48824i −0.429584 0.519173i
\(335\) 1.44346 + 5.38705i 0.0788645 + 0.294326i
\(336\) −25.2964 + 14.3080i −1.38003 + 0.780565i
\(337\) 5.29698 19.7686i 0.288545 1.07686i −0.657665 0.753310i \(-0.728456\pi\)
0.946210 0.323553i \(-0.104877\pi\)
\(338\) −16.5177 + 7.56435i −0.898442 + 0.411446i
\(339\) −1.21038 + 4.10469i −0.0657387 + 0.222936i
\(340\) −0.478470 + 0.844362i −0.0259487 + 0.0457920i
\(341\) −33.6074 22.4557i −1.81994 1.21605i
\(342\) −9.89966 + 19.4263i −0.535312 + 1.05045i
\(343\) −13.9380 5.77329i −0.752579 0.311728i
\(344\) 13.6502 + 3.00944i 0.735970 + 0.162258i
\(345\) 4.06859 + 3.75170i 0.219046 + 0.201985i
\(346\) −8.65084 11.9702i −0.465072 0.643520i
\(347\) −13.2412 + 11.6122i −0.710826 + 0.623378i −0.936435 0.350840i \(-0.885896\pi\)
0.225609 + 0.974218i \(0.427563\pi\)
\(348\) 8.27140 19.0518i 0.443393 1.02128i
\(349\) −15.2830 + 1.00170i −0.818080 + 0.0536198i −0.468696 0.883360i \(-0.655276\pi\)
−0.349384 + 0.936980i \(0.613609\pi\)
\(350\) 12.5484 23.7054i 0.670738 1.26711i
\(351\) 1.97289 0.508804i 0.105305 0.0271579i
\(352\) 20.0310 25.4350i 1.06766 1.35569i
\(353\) 10.1847 + 5.88016i 0.542079 + 0.312969i 0.745921 0.666035i \(-0.232010\pi\)
−0.203842 + 0.979004i \(0.565343\pi\)
\(354\) −18.6746 + 9.48488i −0.992546 + 0.504116i
\(355\) −0.100393 + 0.203577i −0.00532831 + 0.0108047i
\(356\) −18.0739 1.03855i −0.957914 0.0550432i
\(357\) −4.11872 + 3.00017i −0.217986 + 0.158786i
\(358\) −5.91655 2.65210i −0.312700 0.140168i
\(359\) −5.23101 + 2.16676i −0.276082 + 0.114357i −0.516429 0.856330i \(-0.672739\pi\)
0.240347 + 0.970687i \(0.422739\pi\)
\(360\) −0.0299376 + 5.87096i −0.00157785 + 0.309427i
\(361\) −6.84609 2.83574i −0.360320 0.149250i
\(362\) 17.0890 16.1352i 0.898178 0.848049i
\(363\) 29.3134 + 23.6780i 1.53856 + 1.24277i
\(364\) −0.825808 + 3.18429i −0.0432841 + 0.166902i
\(365\) −6.60995 + 2.24378i −0.345981 + 0.117445i
\(366\) 19.0236 + 3.55120i 0.994379 + 0.185624i
\(367\) 15.7450 4.21886i 0.821882 0.220223i 0.176713 0.984262i \(-0.443454\pi\)
0.645169 + 0.764040i \(0.276787\pi\)
\(368\) −12.8497 + 13.2704i −0.669837 + 0.691765i
\(369\) −1.47789 18.2060i −0.0769359 0.947767i
\(370\) −3.91755 + 3.24153i −0.203664 + 0.168519i
\(371\) 28.4449 32.4352i 1.47679 1.68395i
\(372\) 1.18730 + 24.4356i 0.0615585 + 1.26693i
\(373\) 10.1250 + 0.663626i 0.524251 + 0.0343612i 0.325232 0.945634i \(-0.394558\pi\)
0.199019 + 0.979996i \(0.436224\pi\)
\(374\) 2.97813 4.83249i 0.153995 0.249882i
\(375\) −6.10065 9.64266i −0.315036 0.497945i
\(376\) −10.8038 4.73874i −0.557166 0.244382i
\(377\) −0.899677 2.17201i −0.0463357 0.111864i
\(378\) −12.8726 + 28.0090i −0.662097 + 1.44063i
\(379\) −24.6598 + 4.90514i −1.26669 + 0.251960i −0.782306 0.622895i \(-0.785956\pi\)
−0.484385 + 0.874855i \(0.660956\pi\)
\(380\) −7.09234 + 0.522237i −0.363829 + 0.0267902i
\(381\) −0.575061 + 23.0432i −0.0294613 + 1.18054i
\(382\) 7.42990 7.99711i 0.380147 0.409168i
\(383\) 6.23547 + 10.8002i 0.318618 + 0.551862i 0.980200 0.198011i \(-0.0634481\pi\)
−0.661582 + 0.749873i \(0.730115\pi\)
\(384\) −19.5874 0.577908i −0.999565 0.0294913i
\(385\) 8.30565 14.3858i 0.423295 0.733169i
\(386\) 0.0172187 + 0.0559508i 0.000876411 + 0.00284782i
\(387\) 13.6075 5.88591i 0.691708 0.299198i
\(388\) 12.2214 + 17.9755i 0.620445 + 0.912570i
\(389\) 11.0933 32.6799i 0.562455 1.65694i −0.177375 0.984143i \(-0.556760\pi\)
0.739829 0.672795i \(-0.234906\pi\)
\(390\) 0.475421 + 0.464331i 0.0240739 + 0.0235123i
\(391\) −1.97162 + 2.56946i −0.0997089 + 0.129943i
\(392\) −17.7505 24.1494i −0.896536 1.21973i
\(393\) −12.1496 + 23.1616i −0.612865 + 1.16835i
\(394\) 12.9461 + 0.371645i 0.652216 + 0.0187232i
\(395\) 0.969870 1.45151i 0.0487994 0.0730335i
\(396\) 1.43669 34.3095i 0.0721961 1.72412i
\(397\) 33.9355 + 6.75019i 1.70317 + 0.338782i 0.948370 0.317167i \(-0.102732\pi\)
0.754805 + 0.655950i \(0.227732\pi\)
\(398\) 1.44851 + 8.55899i 0.0726075 + 0.429023i
\(399\) −35.0466 12.8805i −1.75453 0.644830i
\(400\) 15.5145 9.29355i 0.775724 0.464677i
\(401\) −7.86824 + 29.3647i −0.392921 + 1.46640i 0.432371 + 0.901696i \(0.357677\pi\)
−0.825292 + 0.564706i \(0.808989\pi\)
\(402\) −12.8420 + 14.9969i −0.640503 + 0.747977i
\(403\) 2.08197 + 1.82584i 0.103710 + 0.0909516i
\(404\) −20.1741 19.8518i −1.00370 0.987665i
\(405\) 3.61894 + 5.06763i 0.179827 + 0.251813i
\(406\) 34.0785 + 10.1880i 1.69129 + 0.505621i
\(407\) 23.5948 18.1049i 1.16955 0.897428i
\(408\) −3.42329 + 0.292721i −0.169478 + 0.0144919i
\(409\) 4.18791 + 3.21350i 0.207079 + 0.158897i 0.707094 0.707119i \(-0.250006\pi\)
−0.500015 + 0.866017i \(0.666672\pi\)
\(410\) 4.82874 3.48973i 0.238474 0.172346i
\(411\) 26.4123 19.2393i 1.30282 0.949003i
\(412\) −2.05090 4.07577i −0.101041 0.200799i
\(413\) −19.9279 29.8242i −0.980589 1.46755i
\(414\) −2.81257 + 19.3897i −0.138230 + 0.952950i
\(415\) 2.75591i 0.135283i
\(416\) −1.58806 + 1.54855i −0.0778610 + 0.0759238i
\(417\) 2.28087 25.1619i 0.111695 1.23219i
\(418\) 41.5671 1.52831i 2.03312 0.0747519i
\(419\) 4.02387 8.15960i 0.196579 0.398622i −0.776157 0.630540i \(-0.782833\pi\)
0.972735 + 0.231918i \(0.0745000\pi\)
\(420\) −9.98903 + 1.14371i −0.487415 + 0.0558075i
\(421\) −32.2890 10.9606i −1.57367 0.534188i −0.607993 0.793942i \(-0.708025\pi\)
−0.965675 + 0.259754i \(0.916359\pi\)
\(422\) 28.2131 2.89347i 1.37339 0.140852i
\(423\) −12.2332 + 2.63169i −0.594797 + 0.127957i
\(424\) 27.7322 8.77957i 1.34679 0.426373i
\(425\) 2.51563 1.93031i 0.122026 0.0936337i
\(426\) −0.795404 + 0.114281i −0.0385375 + 0.00553692i
\(427\) −2.16753 + 33.0702i −0.104894 + 1.60038i
\(428\) −15.8768 26.9952i −0.767436 1.30486i
\(429\) −2.67906 2.81620i −0.129346 0.135967i
\(430\) 3.94203 + 2.80087i 0.190102 + 0.135070i
\(431\) 18.4725 + 18.4725i 0.889787 + 0.889787i 0.994502 0.104715i \(-0.0333930\pi\)
−0.104715 + 0.994502i \(0.533393\pi\)
\(432\) −17.2040 + 11.6629i −0.827728 + 0.561129i
\(433\) 25.3770 25.3770i 1.21954 1.21954i 0.251748 0.967793i \(-0.418995\pi\)
0.967793 0.251748i \(-0.0810053\pi\)
\(434\) −41.3086 + 6.99102i −1.98287 + 0.335580i
\(435\) 5.20603 4.95251i 0.249610 0.237455i
\(436\) 0.405317 0.537119i 0.0194112 0.0257234i
\(437\) −23.6815 1.55217i −1.13284 0.0742504i
\(438\) −19.7815 14.8113i −0.945195 0.707712i
\(439\) 9.73257 + 12.6837i 0.464510 + 0.605361i 0.965599 0.260034i \(-0.0837338\pi\)
−0.501089 + 0.865396i \(0.667067\pi\)
\(440\) 9.81345 5.39878i 0.467838 0.257377i
\(441\) −30.2575 9.74907i −1.44083 0.464241i
\(442\) −0.245504 + 0.301616i −0.0116774 + 0.0143464i
\(443\) 9.15552 26.9713i 0.434992 1.28145i −0.479749 0.877406i \(-0.659272\pi\)
0.914741 0.404040i \(-0.132394\pi\)
\(444\) −17.3065 4.95217i −0.821328 0.235020i
\(445\) −5.61715 2.77007i −0.266279 0.131314i
\(446\) 16.9859 + 15.7812i 0.804306 + 0.747260i
\(447\) −32.1558 2.91485i −1.52092 0.137868i
\(448\) −3.00296 33.4238i −0.141876 1.57913i
\(449\) 35.0711 1.65511 0.827553 0.561388i \(-0.189733\pi\)
0.827553 + 0.561388i \(0.189733\pi\)
\(450\) 7.57308 17.6239i 0.356999 0.830798i
\(451\) −28.9741 + 19.3598i −1.36433 + 0.911619i
\(452\) −3.74130 3.22811i −0.175976 0.151838i
\(453\) 9.12761 + 12.5307i 0.428853 + 0.588742i
\(454\) 3.82867 + 0.616293i 0.179688 + 0.0289241i
\(455\) −0.692807 + 0.902884i −0.0324793 + 0.0423279i
\(456\) −15.7198 19.6655i −0.736147 0.920921i
\(457\) 8.89217 + 11.5885i 0.415958 + 0.542087i 0.953596 0.301089i \(-0.0973500\pi\)
−0.537638 + 0.843176i \(0.680683\pi\)
\(458\) −24.1422 + 13.0295i −1.12809 + 0.608828i
\(459\) −2.76232 + 2.37692i −0.128934 + 0.110945i
\(460\) −5.88416 + 2.49299i −0.274350 + 0.116236i
\(461\) −7.65206 + 8.72550i −0.356392 + 0.406387i −0.902058 0.431616i \(-0.857944\pi\)
0.545665 + 0.838003i \(0.316277\pi\)
\(462\) 58.6319 4.53833i 2.72780 0.211142i
\(463\) −2.27297 0.609042i −0.105634 0.0283046i 0.205615 0.978633i \(-0.434081\pi\)
−0.311249 + 0.950328i \(0.600747\pi\)
\(464\) 16.1013 + 17.7744i 0.747486 + 0.825154i
\(465\) −2.91963 + 7.94405i −0.135394 + 0.368397i
\(466\) 13.0655 + 9.28322i 0.605247 + 0.430037i
\(467\) 2.57243 12.9325i 0.119038 0.598444i −0.874508 0.485011i \(-0.838815\pi\)
0.993546 0.113432i \(-0.0361845\pi\)
\(468\) −0.404400 + 2.31763i −0.0186934 + 0.107132i
\(469\) −28.1137 18.7850i −1.29817 0.867409i
\(470\) −2.80196 2.96758i −0.129245 0.136884i
\(471\) 33.0000 + 17.3104i 1.52056 + 0.797619i
\(472\) −1.08320 24.1613i −0.0498583 1.11211i
\(473\) −22.4393 17.2183i −1.03176 0.791699i
\(474\) 6.17976 0.0729244i 0.283846 0.00334953i
\(475\) 22.0021 + 7.46869i 1.00952 + 0.342687i
\(476\) −1.19431 5.76137i −0.0547411 0.264072i
\(477\) 18.3994 24.7666i 0.842452 1.13398i
\(478\) 6.57702 12.4248i 0.300826 0.568297i
\(479\) 2.61817 + 1.51160i 0.119627 + 0.0690668i 0.558620 0.829424i \(-0.311331\pi\)
−0.438992 + 0.898491i \(0.644665\pi\)
\(480\) −6.16144 2.82760i −0.281230 0.129062i
\(481\) −1.76458 + 1.01878i −0.0804581 + 0.0464525i
\(482\) −0.00683235 0.185827i −0.000311205 0.00846420i
\(483\) −33.5423 0.837077i −1.52623 0.0380883i
\(484\) −38.8679 + 19.5581i −1.76672 + 0.889005i
\(485\) 1.46706 + 7.37539i 0.0666156 + 0.334899i
\(486\) −7.55522 + 20.7104i −0.342712 + 0.939441i
\(487\) −11.8738 + 4.91829i −0.538053 + 0.222869i −0.635126 0.772408i \(-0.719052\pi\)
0.0970732 + 0.995277i \(0.469052\pi\)
\(488\) −12.7957 + 18.3197i −0.579236 + 0.829296i
\(489\) −25.9276 + 16.4037i −1.17249 + 0.741801i
\(490\) −2.39511 10.0882i −0.108200 0.455741i
\(491\) −1.64954 + 25.1671i −0.0744426 + 1.13577i 0.783283 + 0.621666i \(0.213544\pi\)
−0.857725 + 0.514108i \(0.828123\pi\)
\(492\) 19.8549 + 7.11622i 0.895128 + 0.320824i
\(493\) 3.16146 + 2.77252i 0.142385 + 0.124868i
\(494\) −2.83712 0.267904i −0.127648 0.0120536i
\(495\) 5.08805 10.7352i 0.228691 0.482510i
\(496\) −26.2695 10.3888i −1.17953 0.466472i
\(497\) −0.356170 1.32925i −0.0159764 0.0596248i
\(498\) −8.04769 + 5.51575i −0.360626 + 0.247167i
\(499\) −5.56968 16.4077i −0.249333 0.734512i −0.997478 0.0709762i \(-0.977389\pi\)
0.748145 0.663535i \(-0.230945\pi\)
\(500\) 13.0487 1.82489i 0.583555 0.0816116i
\(501\) 9.47759 11.7333i 0.423428 0.524206i
\(502\) −29.8692 0.857456i −1.33313 0.0382701i
\(503\) −14.6163 + 35.2868i −0.651707 + 1.57336i 0.158592 + 0.987344i \(0.449305\pi\)
−0.810299 + 0.586016i \(0.800695\pi\)
\(504\) −23.3321 26.8804i −1.03929 1.19735i
\(505\) −3.74713 9.04636i −0.166745 0.402558i
\(506\) 34.9288 13.3070i 1.55277 0.591570i
\(507\) −13.1006 17.9848i −0.581816 0.798734i
\(508\) −23.9654 11.5795i −1.06329 0.513756i
\(509\) −8.20890 4.04818i −0.363853 0.179432i 0.251167 0.967944i \(-0.419186\pi\)
−0.615020 + 0.788511i \(0.710852\pi\)
\(510\) −1.12997 0.368762i −0.0500360 0.0163291i
\(511\) 21.1599 36.6501i 0.936060 1.62130i
\(512\) 9.93663 20.3289i 0.439141 0.898418i
\(513\) −25.7274 7.15357i −1.13589 0.315838i
\(514\) 1.00425 + 3.26321i 0.0442954 + 0.143934i
\(515\) −0.103237 1.57510i −0.00454919 0.0694072i
\(516\) −0.289292 + 17.1171i −0.0127354 + 0.753536i
\(517\) 15.7397 + 17.9477i 0.692233 + 0.789341i
\(518\) 4.89913 30.4354i 0.215255 1.33726i
\(519\) 12.2619 13.2976i 0.538239 0.583702i
\(520\) −0.714858 + 0.278956i −0.0313486 + 0.0122330i
\(521\) −1.34762 + 3.25343i −0.0590401 + 0.142535i −0.950647 0.310275i \(-0.899579\pi\)
0.891607 + 0.452811i \(0.149579\pi\)
\(522\) 24.8815 + 5.29031i 1.08904 + 0.231551i
\(523\) −10.8064 + 16.1729i −0.472531 + 0.707193i −0.988802 0.149232i \(-0.952320\pi\)
0.516271 + 0.856425i \(0.327320\pi\)
\(524\) −18.5775 23.8112i −0.811561 1.04020i
\(525\) 31.5085 + 9.29112i 1.37514 + 0.405498i
\(526\) 15.1176 + 5.62050i 0.659160 + 0.245065i
\(527\) −4.78419 1.28192i −0.208403 0.0558413i
\(528\) 35.4061 + 17.8515i 1.54085 + 0.776888i
\(529\) 1.61688 0.433242i 0.0702992 0.0188366i
\(530\) 10.0188 + 0.946057i 0.435189 + 0.0410941i
\(531\) −15.9309 20.1063i −0.691341 0.872541i
\(532\) 30.2404 30.7313i 1.31109 1.33237i
\(533\) 2.14119 1.05592i 0.0927453 0.0457369i
\(534\) −3.15327 21.9470i −0.136455 0.949741i
\(535\) −1.41420 10.7419i −0.0611410 0.464412i
\(536\) −9.65916 20.6511i −0.417212 0.891991i
\(537\) 1.74303 7.74730i 0.0752172 0.334321i
\(538\) −28.9329 12.9692i −1.24738 0.559141i
\(539\) 11.8315 + 59.4808i 0.509617 + 2.56202i
\(540\) −7.05424 + 1.39327i −0.303566 + 0.0599570i
\(541\) 16.7710 + 25.0995i 0.721041 + 1.07911i 0.993150 + 0.116847i \(0.0372788\pi\)
−0.272109 + 0.962266i \(0.587721\pi\)
\(542\) −28.2238 + 17.7086i −1.21231 + 0.760650i
\(543\) 23.5273 + 16.5841i 1.00965 + 0.711694i
\(544\) 1.32246 3.74039i 0.0567002 0.160368i
\(545\) 0.201601 0.116394i 0.00863563 0.00498578i
\(546\) −4.02316 0.216049i −0.172175 0.00924605i
\(547\) 13.7703 0.902553i 0.588776 0.0385904i 0.231896 0.972741i \(-0.425507\pi\)
0.356880 + 0.934150i \(0.383841\pi\)
\(548\) 7.65879 + 36.9462i 0.327167 + 1.57826i
\(549\) 0.368509 + 23.6986i 0.0157276 + 1.01143i
\(550\) −36.4037 + 3.73349i −1.55226 + 0.159196i
\(551\) −4.02185 + 30.5490i −0.171336 + 1.30143i
\(552\) −19.0566 12.1931i −0.811103 0.518973i
\(553\) 1.38145 + 10.4932i 0.0587453 + 0.446215i
\(554\) 14.3796 3.41394i 0.610930 0.145044i
\(555\) −4.84451 3.91316i −0.205638 0.166104i
\(556\) 25.3817 + 14.3829i 1.07643 + 0.609972i
\(557\) −3.23284 + 16.2526i −0.136980 + 0.688644i 0.849868 + 0.526995i \(0.176681\pi\)
−0.986848 + 0.161649i \(0.948319\pi\)
\(558\) −29.0412 + 7.37366i −1.22941 + 0.312152i
\(559\) 1.37022 + 1.37022i 0.0579541 + 0.0579541i
\(560\) 3.55431 11.0522i 0.150197 0.467042i
\(561\) 6.52546 + 2.39826i 0.275505 + 0.101255i
\(562\) 3.48771 9.38100i 0.147120 0.395714i
\(563\) 2.77904 + 8.18679i 0.117123 + 0.345032i 0.989644 0.143544i \(-0.0458498\pi\)
−0.872521 + 0.488576i \(0.837517\pi\)
\(564\) 3.05789 14.1215i 0.128760 0.594623i
\(565\) −0.756100 1.53322i −0.0318094 0.0645030i
\(566\) −34.9042 + 18.8377i −1.46713 + 0.791810i
\(567\) −36.7531 8.63272i −1.54348 0.362540i
\(568\) 0.258608 0.891119i 0.0108509 0.0373905i
\(569\) 11.9023 + 1.56697i 0.498970 + 0.0656907i 0.375811 0.926696i \(-0.377364\pi\)
0.123159 + 0.992387i \(0.460697\pi\)
\(570\) −2.35338 8.38586i −0.0985724 0.351245i
\(571\) −12.4073 14.1478i −0.519229 0.592068i 0.431491 0.902117i \(-0.357988\pi\)
−0.950720 + 0.310050i \(0.899654\pi\)
\(572\) 4.23831 1.47687i 0.177213 0.0617512i
\(573\) 11.4077 + 6.97138i 0.476564 + 0.291233i
\(574\) −8.06031 + 35.2091i −0.336431 + 1.46960i
\(575\) 20.8793 0.870726
\(576\) −4.07463 23.6516i −0.169776 0.985483i
\(577\) −19.3289 −0.804671 −0.402336 0.915492i \(-0.631802\pi\)
−0.402336 + 0.915492i \(0.631802\pi\)
\(578\) −5.20976 + 22.7573i −0.216697 + 0.946580i
\(579\) −0.0629664 + 0.0342883i −0.00261680 + 0.00142497i
\(580\) 2.73015 + 7.83495i 0.113363 + 0.325328i
\(581\) −11.0165 12.5619i −0.457041 0.521155i
\(582\) −18.6010 + 19.0453i −0.771038 + 0.789453i
\(583\) −58.3568 7.68281i −2.41689 0.318190i
\(584\) 25.0013 13.7542i 1.03456 0.569153i
\(585\) −0.441606 + 0.683687i −0.0182581 + 0.0282670i
\(586\) −9.45142 + 5.10092i −0.390435 + 0.210717i
\(587\) −10.2684 20.8222i −0.423822 0.859426i −0.999139 0.0414950i \(-0.986788\pi\)
0.575317 0.817931i \(-0.304879\pi\)
\(588\) 24.6656 27.1849i 1.01719 1.12109i
\(589\) −11.6662 34.3675i −0.480698 1.41609i
\(590\) 2.91576 7.84260i 0.120040 0.322875i
\(591\) 2.70547 + 15.6298i 0.111288 + 0.642924i
\(592\) 13.4516 15.8462i 0.552858 0.651277i
\(593\) −8.28514 8.28514i −0.340230 0.340230i 0.516224 0.856454i \(-0.327337\pi\)
−0.856454 + 0.516224i \(0.827337\pi\)
\(594\) 41.5316 6.62773i 1.70406 0.271939i
\(595\) 0.397115 1.99643i 0.0162801 0.0818457i
\(596\) 18.3807 32.4367i 0.752904 1.32866i
\(597\) −9.92080 + 3.82224i −0.406031 + 0.156434i
\(598\) −2.49154 + 0.591531i −0.101887 + 0.0241895i
\(599\) 3.81586 + 28.9843i 0.155912 + 1.18427i 0.873154 + 0.487444i \(0.162071\pi\)
−0.717242 + 0.696824i \(0.754596\pi\)
\(600\) 14.9319 + 16.3598i 0.609593 + 0.667884i
\(601\) 0.339695 2.58024i 0.0138564 0.105250i −0.983119 0.182967i \(-0.941430\pi\)
0.996975 + 0.0777172i \(0.0247631\pi\)
\(602\) −29.1646 + 2.99105i −1.18866 + 0.121906i
\(603\) −21.1271 11.7636i −0.860362 0.479051i
\(604\) −17.5282 + 3.63353i −0.713213 + 0.147846i
\(605\) −15.0207 + 0.984507i −0.610677 + 0.0400259i
\(606\) 18.9172 29.0478i 0.768457 1.17999i
\(607\) 27.4512 15.8490i 1.11421 0.643289i 0.174293 0.984694i \(-0.444236\pi\)
0.939916 + 0.341404i \(0.110903\pi\)
\(608\) 28.1730 7.16984i 1.14257 0.290775i
\(609\) −3.93273 + 43.3849i −0.159362 + 1.75804i
\(610\) −6.54843 + 4.10872i −0.265138 + 0.166357i
\(611\) −0.908626 1.35985i −0.0367591 0.0550138i
\(612\) −1.18471 4.03774i −0.0478891 0.163216i
\(613\) −0.980695 4.93029i −0.0396099 0.199132i 0.955913 0.293649i \(-0.0948696\pi\)
−0.995523 + 0.0945162i \(0.969870\pi\)
\(614\) −6.53277 2.92832i −0.263641 0.118177i
\(615\) 5.36425 + 4.94644i 0.216307 + 0.199460i
\(616\) −23.1502 + 63.8367i −0.932748 + 2.57205i
\(617\) 2.60325 + 19.7736i 0.104803 + 0.796056i 0.960441 + 0.278482i \(0.0898313\pi\)
−0.855639 + 0.517574i \(0.826835\pi\)
\(618\) 4.39291 3.45391i 0.176709 0.138937i
\(619\) 13.7475 6.77951i 0.552558 0.272491i −0.144502 0.989505i \(-0.546158\pi\)
0.697060 + 0.717013i \(0.254491\pi\)
\(620\) −6.96590 6.85462i −0.279757 0.275288i
\(621\) −23.9582 + 1.34421i −0.961411 + 0.0539414i
\(622\) −38.6598 3.65057i −1.55012 0.146375i
\(623\) 36.6769 9.82756i 1.46943 0.393733i
\(624\) −2.24533 1.52919i −0.0898850 0.0612164i
\(625\) −17.4332 4.67120i −0.697326 0.186848i
\(626\) −31.5556 11.7319i −1.26121 0.468900i
\(627\) 11.9534 + 49.5213i 0.477373 + 1.97769i
\(628\) −33.9255 + 26.4686i −1.35377 + 1.05621i
\(629\) 2.02472 3.03021i 0.0807310 0.120822i
\(630\) −3.80451 11.7115i −0.151575 0.466597i
\(631\) 7.64440 18.4552i 0.304319 0.734691i −0.695550 0.718478i \(-0.744839\pi\)
0.999869 0.0162128i \(-0.00516093\pi\)
\(632\) −2.86647 + 6.53526i −0.114022 + 0.259959i
\(633\) 10.3412 + 33.1600i 0.411024 + 1.31799i
\(634\) 1.94727 12.0973i 0.0773360 0.480443i
\(635\) −6.07125 6.92294i −0.240930 0.274728i
\(636\) 17.2892 + 31.1499i 0.685562 + 1.23517i
\(637\) −0.271746 4.14604i −0.0107670 0.164272i
\(638\) −14.2740 46.3822i −0.565114 1.83629i
\(639\) −0.330803 0.926910i −0.0130864 0.0366680i
\(640\) 5.90883 5.13459i 0.233567 0.202962i
\(641\) −20.7581 + 35.9541i −0.819896 + 1.42010i 0.0858629 + 0.996307i \(0.472635\pi\)
−0.905759 + 0.423794i \(0.860698\pi\)
\(642\) 28.5375 25.6287i 1.12629 1.01148i
\(643\) 25.6087 + 12.6288i 1.00991 + 0.498032i 0.870482 0.492200i \(-0.163807\pi\)
0.139427 + 0.990232i \(0.455474\pi\)
\(644\) 16.8554 34.8847i 0.664198 1.37465i
\(645\) −2.40227 + 5.41348i −0.0945892 + 0.213156i
\(646\) 4.76311 1.81463i 0.187402 0.0713957i
\(647\) −0.759287 1.83308i −0.0298506 0.0720658i 0.908251 0.418425i \(-0.137418\pi\)
−0.938102 + 0.346359i \(0.887418\pi\)
\(648\) −18.1871 17.8109i −0.714457 0.699680i
\(649\) −18.7281 + 45.2136i −0.735142 + 1.77479i
\(650\) 2.50611 + 0.0719432i 0.0982978 + 0.00282184i
\(651\) −18.4474 47.8811i −0.723011 1.87661i
\(652\) −4.90684 35.0859i −0.192167 1.37407i
\(653\) 6.52680 + 19.2273i 0.255414 + 0.752424i 0.996695 + 0.0812302i \(0.0258849\pi\)
−0.741282 + 0.671194i \(0.765782\pi\)
\(654\) 0.743378 + 0.355751i 0.0290684 + 0.0139110i
\(655\) −2.70418 10.0921i −0.105661 0.394332i
\(656\) −16.9417 + 17.4963i −0.661463 + 0.683117i
\(657\) 12.9626 27.3495i 0.505719 1.06700i
\(658\) 24.6344 + 2.32618i 0.960347 + 0.0906839i
\(659\) −17.5904 15.4264i −0.685225 0.600926i 0.244293 0.969701i \(-0.421444\pi\)
−0.929519 + 0.368775i \(0.879777\pi\)
\(660\) 8.86915 + 10.4649i 0.345231 + 0.407346i
\(661\) −0.309091 + 4.71582i −0.0120223 + 0.183424i 0.987624 + 0.156838i \(0.0501302\pi\)
−0.999647 + 0.0265858i \(0.991536\pi\)
\(662\) 0.00765749 + 0.0322535i 0.000297617 + 0.00125357i
\(663\) −0.421796 0.221256i −0.0163812 0.00859288i
\(664\) −1.96925 11.0924i −0.0764219 0.430467i
\(665\) 13.7804 5.70802i 0.534381 0.221348i
\(666\) 1.73110 21.9786i 0.0670786 0.851654i
\(667\) 5.40174 + 27.1564i 0.209156 + 1.05150i
\(668\) 7.82854 + 15.5577i 0.302895 + 0.601945i
\(669\) −14.8072 + 24.2300i −0.572481 + 0.936787i
\(670\) −0.289794 7.88187i −0.0111957 0.304503i
\(671\) 39.1587 22.6083i 1.51171 0.872784i
\(672\) 39.3879 11.7411i 1.51942 0.452922i
\(673\) −4.16698 2.40581i −0.160625 0.0927370i 0.417533 0.908662i \(-0.362895\pi\)
−0.578158 + 0.815925i \(0.696228\pi\)
\(674\) −13.5409 + 25.5804i −0.521575 + 0.985318i
\(675\) 22.9976 + 4.79973i 0.885180 + 0.184742i
\(676\) 25.1577 5.21508i 0.967602 0.200580i
\(677\) −7.89757 2.68086i −0.303528 0.103034i 0.165520 0.986206i \(-0.447070\pi\)
−0.469048 + 0.883172i \(0.655403\pi\)
\(678\) 2.96396 5.27655i 0.113830 0.202645i
\(679\) −36.1694 27.7538i −1.38805 1.06509i
\(680\) 0.926066 1.01300i 0.0355130 0.0388467i
\(681\) 0.192299 + 4.74561i 0.00736890 + 0.181852i
\(682\) 39.2427 + 41.5624i 1.50268 + 1.59151i
\(683\) −7.98966 5.33852i −0.305716 0.204273i 0.393243 0.919435i \(-0.371353\pi\)
−0.698959 + 0.715162i \(0.746353\pi\)
\(684\) 19.7779 23.6559i 0.756226 0.904506i
\(685\) −2.54659 + 12.8026i −0.0973003 + 0.489162i
\(686\) 17.3922 + 12.3574i 0.664038 + 0.471809i
\(687\) −21.5165 25.8062i −0.820905 0.984566i
\(688\) −17.8678 8.45650i −0.681202 0.322401i
\(689\) 3.89518 + 1.04371i 0.148395 + 0.0397622i
\(690\) −4.42478 6.45591i −0.168448 0.245772i
\(691\) 5.44655 6.21060i 0.207197 0.236263i −0.638903 0.769287i \(-0.720611\pi\)
0.846100 + 0.533025i \(0.178945\pi\)
\(692\) 8.14800 + 19.2316i 0.309741 + 0.731075i
\(693\) 19.7206 + 69.2715i 0.749122 + 2.63141i
\(694\) 21.9184 11.8293i 0.832011 0.449035i
\(695\) 6.14407 + 8.00711i 0.233058 + 0.303727i
\(696\) −17.4150 + 23.6535i −0.660115 + 0.896584i
\(697\) −2.59948 + 3.38771i −0.0984624 + 0.128319i
\(698\) 21.3845 + 3.44222i 0.809416 + 0.130290i
\(699\) −7.96209 + 17.9425i −0.301154 + 0.678647i
\(700\) −24.7797 + 28.7190i −0.936583 + 1.08548i
\(701\) 35.5220 23.7350i 1.34165 0.896459i 0.342572 0.939491i \(-0.388702\pi\)
0.999074 + 0.0430322i \(0.0137018\pi\)
\(702\) −2.88031 + 0.0787919i −0.108710 + 0.00297381i
\(703\) 26.7050 1.00720
\(704\) −35.6407 + 28.7419i −1.34326 + 1.08325i
\(705\) 2.87991 4.08563i 0.108464 0.153874i
\(706\) −12.1845 11.3203i −0.458569 0.426044i
\(707\) 53.2419 + 26.2560i 2.00237 + 0.987458i
\(708\) 28.7373 7.18192i 1.08001 0.269913i
\(709\) 8.19530 24.1426i 0.307781 0.906693i −0.677466 0.735554i \(-0.736922\pi\)
0.985247 0.171139i \(-0.0547447\pi\)
\(710\) 0.202643 0.248959i 0.00760506 0.00934325i
\(711\) 1.59191 + 7.39986i 0.0597014 + 0.277516i
\(712\) 24.5880 + 7.13558i 0.921475 + 0.267417i
\(713\) −19.8540 25.8742i −0.743537 0.968997i
\(714\) 6.62468 2.83607i 0.247922 0.106137i
\(715\) 1.54941 + 0.101553i 0.0579445 + 0.00379788i
\(716\) 7.31931 + 5.52325i 0.273535 + 0.206413i
\(717\) 16.5147 + 4.86979i 0.616752 + 0.181866i
\(718\) 7.89502 1.33614i 0.294639 0.0498645i
\(719\) 11.4952 11.4952i 0.428697 0.428697i −0.459487 0.888184i \(-0.651967\pi\)
0.888184 + 0.459487i \(0.151967\pi\)
\(720\) 1.89407 8.08397i 0.0705878 0.301272i
\(721\) 6.76687 + 6.76687i 0.252011 + 0.252011i
\(722\) 8.54276 + 6.06975i 0.317929 + 0.225893i
\(723\) 0.221387 0.0534381i 0.00823346 0.00198739i
\(724\) −28.6501 + 16.8502i −1.06477 + 0.626232i
\(725\) 1.77297 27.0502i 0.0658463 1.00462i
\(726\) −32.9376 41.8922i −1.22243 1.55477i
\(727\) 23.4431 17.9885i 0.869456 0.667157i −0.0745025 0.997221i \(-0.523737\pi\)
0.943959 + 0.330064i \(0.107070\pi\)
\(728\) 2.14334 4.12909i 0.0794374 0.153034i
\(729\) −26.6980 4.02693i −0.988815 0.149145i
\(730\) 9.82026 1.00714i 0.363464 0.0372761i
\(731\) −3.28200 1.11409i −0.121389 0.0412060i
\(732\) −25.1043 10.8991i −0.927881 0.402843i
\(733\) −6.81224 + 13.8139i −0.251616 + 0.510226i −0.985632 0.168905i \(-0.945977\pi\)
0.734016 + 0.679132i \(0.237643\pi\)
\(734\) −23.0367 + 0.846995i −0.850300 + 0.0312632i
\(735\) 11.5259 5.33072i 0.425141 0.196627i
\(736\) 21.9019 14.2387i 0.807316 0.524844i
\(737\) 46.1320i 1.69929i
\(738\) −3.70824 + 25.5643i −0.136502 + 0.941036i
\(739\) 25.1001 + 37.5650i 0.923323 + 1.38185i 0.924224 + 0.381851i \(0.124713\pi\)
−0.000900927 1.00000i \(0.500287\pi\)
\(740\) 6.42354 3.23229i 0.236134 0.118821i
\(741\) −0.369092 3.47063i −0.0135589 0.127497i
\(742\) −49.4490 + 35.7368i −1.81533 + 1.31194i
\(743\) 35.0700 + 26.9101i 1.28659 + 0.987237i 0.999570 + 0.0293134i \(0.00933207\pi\)
0.287022 + 0.957924i \(0.407335\pi\)
\(744\) 6.07482 34.0605i 0.222714 1.24872i
\(745\) 10.2327 7.85184i 0.374898 0.287669i
\(746\) −13.7484 4.11015i −0.503363 0.150483i
\(747\) −8.57970 8.31696i −0.313915 0.304302i
\(748\) −5.63057 + 5.72198i −0.205874 + 0.209216i
\(749\) 49.3857 + 43.3101i 1.80451 + 1.58252i
\(750\) 5.36696 + 15.2182i 0.195974 + 0.555690i
\(751\) 8.94287 33.3752i 0.326330 1.21788i −0.586638 0.809849i \(-0.699549\pi\)
0.912968 0.408031i \(-0.133784\pi\)
\(752\) 13.3982 + 9.94216i 0.488581 + 0.362553i
\(753\) −6.24204 36.0609i −0.227473 1.31413i
\(754\) 0.554792 + 3.27816i 0.0202043 + 0.119383i
\(755\) −6.07388 1.20817i −0.221051 0.0439698i
\(756\) 26.5849 34.5494i 0.966883 1.25655i
\(757\) 19.6068 29.3436i 0.712620 1.06651i −0.281640 0.959520i \(-0.590878\pi\)
0.994260 0.106991i \(-0.0341216\pi\)
\(758\) 35.5428 + 1.02033i 1.29097 + 0.0370601i
\(759\) 24.4755 + 38.6859i 0.888405 + 1.40421i
\(760\) 9.94197 + 1.51832i 0.360633 + 0.0550753i
\(761\) 16.8615 21.9743i 0.611229 0.796569i −0.380519 0.924773i \(-0.624255\pi\)
0.991748 + 0.128204i \(0.0409214\pi\)
\(762\) 8.06488 31.5847i 0.292160 1.14419i
\(763\) −0.453654 + 1.33642i −0.0164234 + 0.0483817i
\(764\) −12.7663 + 8.67965i −0.461868 + 0.314019i
\(765\) 0.167551 1.44608i 0.00605783 0.0522833i
\(766\) −5.18753 16.8564i −0.187433 0.609046i
\(767\) 1.67643 2.90366i 0.0605324 0.104845i
\(768\) 26.8199 + 6.97821i 0.967778 + 0.251804i
\(769\) −14.6584 25.3891i −0.528595 0.915554i −0.999444 0.0333401i \(-0.989386\pi\)
0.470849 0.882214i \(-0.343948\pi\)
\(770\) −15.9897 + 17.2104i −0.576231 + 0.620221i
\(771\) −3.67238 + 1.99979i −0.132258 + 0.0720207i
\(772\) −0.00607959 0.0825650i −0.000218809 0.00297158i