Properties

Label 570.2.n.a.179.13
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

Related objects

Downloads

Learn more about

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.13
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.813860 + 1.52893i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.951780 - 2.02339i) q^{5} +(0.0596429 - 1.73102i) q^{6} -1.16784i q^{7} -1.00000i q^{8} +(-1.67527 + 2.48867i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.813860 + 1.52893i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.951780 - 2.02339i) q^{5} +(0.0596429 - 1.73102i) q^{6} -1.16784i q^{7} -1.00000i q^{8} +(-1.67527 + 2.48867i) q^{9} +(-1.83596 + 1.27642i) q^{10} -4.44433i q^{11} +(-0.917164 + 1.46929i) q^{12} +(-2.92698 - 5.06967i) q^{13} +(-0.583921 + 1.01138i) q^{14} +(3.86824 - 0.191551i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.62269 - 6.27468i) q^{17} +(2.69516 - 1.31762i) q^{18} +(-3.38653 + 2.74435i) q^{19} +(2.22820 - 0.187431i) q^{20} +(1.78555 - 0.950460i) q^{21} +(-2.22217 + 3.84890i) q^{22} +(0.350216 + 0.606593i) q^{23} +(1.52893 - 0.813860i) q^{24} +(-3.18823 - 3.85165i) q^{25} +5.85395i q^{26} +(-5.16844 - 0.535937i) q^{27} +(1.01138 - 0.583921i) q^{28} +(4.91327 + 8.51002i) q^{29} +(-3.44577 - 1.76823i) q^{30} +2.06503i q^{31} +(0.866025 - 0.500000i) q^{32} +(6.79508 - 3.61706i) q^{33} +(-6.27468 + 3.62269i) q^{34} +(-2.36300 - 1.11153i) q^{35} +(-2.99289 - 0.206487i) q^{36} -3.98069 q^{37} +(4.30499 - 0.683410i) q^{38} +(5.36904 - 8.60115i) q^{39} +(-2.02339 - 0.951780i) q^{40} +(2.34614 - 4.06363i) q^{41} +(-2.02156 - 0.0696535i) q^{42} +(7.23835 + 4.17906i) q^{43} +(3.84890 - 2.22217i) q^{44} +(3.44107 + 5.75839i) q^{45} -0.700433i q^{46} +(-2.68664 - 4.65340i) q^{47} +(-1.73102 - 0.0596429i) q^{48} +5.63614 q^{49} +(0.835266 + 4.92974i) q^{50} +(12.5419 + 0.432135i) q^{51} +(2.92698 - 5.06967i) q^{52} +(2.49446 - 1.44018i) q^{53} +(4.20803 + 3.04836i) q^{54} +(-8.99263 - 4.23003i) q^{55} -1.16784 q^{56} +(-6.95208 - 2.94426i) q^{57} -9.82653i q^{58} +(4.78819 - 8.29339i) q^{59} +(2.10001 + 3.25422i) q^{60} +(-1.07927 - 1.86935i) q^{61} +(1.03252 - 1.78837i) q^{62} +(2.90638 + 1.95645i) q^{63} -1.00000 q^{64} +(-13.0438 + 1.09721i) q^{65} +(-7.69324 - 0.265073i) q^{66} +(5.55503 + 9.62160i) q^{67} +7.24538 q^{68} +(-0.642412 + 1.02914i) q^{69} +(1.49066 + 2.14411i) q^{70} +(-5.03898 + 8.72776i) q^{71} +(2.48867 + 1.67527i) q^{72} +(5.45777 + 3.15105i) q^{73} +(3.44738 + 1.99035i) q^{74} +(3.29413 - 8.00929i) q^{75} +(-4.06994 - 1.56065i) q^{76} -5.19028 q^{77} +(-8.95030 + 4.76430i) q^{78} +(3.45889 + 1.99699i) q^{79} +(1.27642 + 1.83596i) q^{80} +(-3.38697 - 8.33837i) q^{81} +(-4.06363 + 2.34614i) q^{82} -4.23804 q^{83} +(1.71590 + 1.07110i) q^{84} +(-9.24814 - 13.3022i) q^{85} +(-4.17906 - 7.23835i) q^{86} +(-9.01254 + 14.4380i) q^{87} -4.44433 q^{88} +(-5.96947 - 10.3394i) q^{89} +(-0.100866 - 6.70745i) q^{90} +(-5.92058 + 3.41825i) q^{91} +(-0.350216 + 0.606593i) q^{92} +(-3.15730 + 1.68065i) q^{93} +5.37328i q^{94} +(2.32966 + 9.46428i) q^{95} +(1.46929 + 0.917164i) q^{96} +(1.40269 - 2.42953i) q^{97} +(-4.88104 - 2.81807i) q^{98} +(11.0605 + 7.44544i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.813860 + 1.52893i 0.469882 + 0.882729i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 0.951780 2.02339i 0.425649 0.904888i
\(6\) 0.0596429 1.73102i 0.0243491 0.706687i
\(7\) 1.16784i 0.441403i −0.975341 0.220702i \(-0.929165\pi\)
0.975341 0.220702i \(-0.0708347\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −1.67527 + 2.48867i −0.558422 + 0.829557i
\(10\) −1.83596 + 1.27642i −0.580582 + 0.403639i
\(11\) 4.44433i 1.34002i −0.742354 0.670008i \(-0.766291\pi\)
0.742354 0.670008i \(-0.233709\pi\)
\(12\) −0.917164 + 1.46929i −0.264762 + 0.424147i
\(13\) −2.92698 5.06967i −0.811797 1.40607i −0.911605 0.411067i \(-0.865156\pi\)
0.0998076 0.995007i \(-0.468177\pi\)
\(14\) −0.583921 + 1.01138i −0.156060 + 0.270303i
\(15\) 3.86824 0.191551i 0.998776 0.0494582i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 3.62269 6.27468i 0.878632 1.52183i 0.0257883 0.999667i \(-0.491790\pi\)
0.852843 0.522167i \(-0.174876\pi\)
\(18\) 2.69516 1.31762i 0.635255 0.310566i
\(19\) −3.38653 + 2.74435i −0.776923 + 0.629596i
\(20\) 2.22820 0.187431i 0.498240 0.0419108i
\(21\) 1.78555 0.950460i 0.389639 0.207407i
\(22\) −2.22217 + 3.84890i −0.473767 + 0.820589i
\(23\) 0.350216 + 0.606593i 0.0730252 + 0.126483i 0.900226 0.435423i \(-0.143401\pi\)
−0.827201 + 0.561907i \(0.810068\pi\)
\(24\) 1.52893 0.813860i 0.312092 0.166128i
\(25\) −3.18823 3.85165i −0.637646 0.770329i
\(26\) 5.85395i 1.14805i
\(27\) −5.16844 0.535937i −0.994667 0.103141i
\(28\) 1.01138 0.583921i 0.191133 0.110351i
\(29\) 4.91327 + 8.51002i 0.912370 + 1.58027i 0.810706 + 0.585453i \(0.199083\pi\)
0.101664 + 0.994819i \(0.467583\pi\)
\(30\) −3.44577 1.76823i −0.629109 0.322834i
\(31\) 2.06503i 0.370891i 0.982655 + 0.185446i \(0.0593728\pi\)
−0.982655 + 0.185446i \(0.940627\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 6.79508 3.61706i 1.18287 0.629650i
\(34\) −6.27468 + 3.62269i −1.07610 + 0.621286i
\(35\) −2.36300 1.11153i −0.399421 0.187883i
\(36\) −2.99289 0.206487i −0.498814 0.0344144i
\(37\) −3.98069 −0.654422 −0.327211 0.944951i \(-0.606109\pi\)
−0.327211 + 0.944951i \(0.606109\pi\)
\(38\) 4.30499 0.683410i 0.698362 0.110864i
\(39\) 5.36904 8.60115i 0.859734 1.37729i
\(40\) −2.02339 0.951780i −0.319926 0.150490i
\(41\) 2.34614 4.06363i 0.366406 0.634633i −0.622595 0.782544i \(-0.713922\pi\)
0.989001 + 0.147911i \(0.0472550\pi\)
\(42\) −2.02156 0.0696535i −0.311934 0.0107478i
\(43\) 7.23835 + 4.17906i 1.10384 + 0.637301i 0.937226 0.348722i \(-0.113384\pi\)
0.166611 + 0.986023i \(0.446718\pi\)
\(44\) 3.84890 2.22217i 0.580244 0.335004i
\(45\) 3.44107 + 5.75839i 0.512965 + 0.858409i
\(46\) 0.700433i 0.103273i
\(47\) −2.68664 4.65340i −0.391887 0.678768i 0.600811 0.799391i \(-0.294844\pi\)
−0.992698 + 0.120622i \(0.961511\pi\)
\(48\) −1.73102 0.0596429i −0.249852 0.00860871i
\(49\) 5.63614 0.805163
\(50\) 0.835266 + 4.92974i 0.118124 + 0.697170i
\(51\) 12.5419 + 0.432135i 1.75622 + 0.0605111i
\(52\) 2.92698 5.06967i 0.405899 0.703037i
\(53\) 2.49446 1.44018i 0.342640 0.197823i −0.318799 0.947822i \(-0.603279\pi\)
0.661439 + 0.749999i \(0.269946\pi\)
\(54\) 4.20803 + 3.04836i 0.572641 + 0.414829i
\(55\) −8.99263 4.23003i −1.21257 0.570376i
\(56\) −1.16784 −0.156060
\(57\) −6.95208 2.94426i −0.920825 0.389976i
\(58\) 9.82653i 1.29029i
\(59\) 4.78819 8.29339i 0.623369 1.07971i −0.365484 0.930817i \(-0.619097\pi\)
0.988854 0.148890i \(-0.0475700\pi\)
\(60\) 2.10001 + 3.25422i 0.271110 + 0.420118i
\(61\) −1.07927 1.86935i −0.138186 0.239345i 0.788624 0.614876i \(-0.210794\pi\)
−0.926810 + 0.375530i \(0.877461\pi\)
\(62\) 1.03252 1.78837i 0.131130 0.227123i
\(63\) 2.90638 + 1.95645i 0.366169 + 0.246489i
\(64\) −1.00000 −0.125000
\(65\) −13.0438 + 1.09721i −1.61788 + 0.136092i
\(66\) −7.69324 0.265073i −0.946973 0.0326282i
\(67\) 5.55503 + 9.62160i 0.678655 + 1.17547i 0.975386 + 0.220504i \(0.0707703\pi\)
−0.296731 + 0.954961i \(0.595896\pi\)
\(68\) 7.24538 0.878632
\(69\) −0.642412 + 1.02914i −0.0773373 + 0.123894i
\(70\) 1.49066 + 2.14411i 0.178168 + 0.256271i
\(71\) −5.03898 + 8.72776i −0.598016 + 1.03579i 0.395097 + 0.918639i \(0.370711\pi\)
−0.993114 + 0.117155i \(0.962622\pi\)
\(72\) 2.48867 + 1.67527i 0.293293 + 0.197432i
\(73\) 5.45777 + 3.15105i 0.638784 + 0.368802i 0.784146 0.620576i \(-0.213101\pi\)
−0.145362 + 0.989379i \(0.546435\pi\)
\(74\) 3.44738 + 1.99035i 0.400750 + 0.231373i
\(75\) 3.29413 8.00929i 0.380374 0.924833i
\(76\) −4.06994 1.56065i −0.466854 0.179018i
\(77\) −5.19028 −0.591488
\(78\) −8.95030 + 4.76430i −1.01342 + 0.539450i
\(79\) 3.45889 + 1.99699i 0.389155 + 0.224679i 0.681794 0.731544i \(-0.261200\pi\)
−0.292639 + 0.956223i \(0.594533\pi\)
\(80\) 1.27642 + 1.83596i 0.142708 + 0.205267i
\(81\) −3.38697 8.33837i −0.376330 0.926486i
\(82\) −4.06363 + 2.34614i −0.448753 + 0.259088i
\(83\) −4.23804 −0.465185 −0.232593 0.972574i \(-0.574721\pi\)
−0.232593 + 0.972574i \(0.574721\pi\)
\(84\) 1.71590 + 1.07110i 0.187220 + 0.116867i
\(85\) −9.24814 13.3022i −1.00310 1.44283i
\(86\) −4.17906 7.23835i −0.450640 0.780531i
\(87\) −9.01254 + 14.4380i −0.966246 + 1.54792i
\(88\) −4.44433 −0.473767
\(89\) −5.96947 10.3394i −0.632762 1.09598i −0.986985 0.160815i \(-0.948588\pi\)
0.354222 0.935161i \(-0.384746\pi\)
\(90\) −0.100866 6.70745i −0.0106322 0.707027i
\(91\) −5.92058 + 3.41825i −0.620646 + 0.358330i
\(92\) −0.350216 + 0.606593i −0.0365126 + 0.0632417i
\(93\) −3.15730 + 1.68065i −0.327396 + 0.174275i
\(94\) 5.37328i 0.554212i
\(95\) 2.32966 + 9.46428i 0.239018 + 0.971015i
\(96\) 1.46929 + 0.917164i 0.149959 + 0.0936077i
\(97\) 1.40269 2.42953i 0.142421 0.246681i −0.785987 0.618244i \(-0.787844\pi\)
0.928408 + 0.371562i \(0.121178\pi\)
\(98\) −4.88104 2.81807i −0.493060 0.284668i
\(99\) 11.0605 + 7.44544i 1.11162 + 0.748294i
\(100\) 1.74151 4.68691i 0.174151 0.468691i
\(101\) 2.64803 1.52884i 0.263488 0.152125i −0.362436 0.932008i \(-0.618055\pi\)
0.625925 + 0.779883i \(0.284722\pi\)
\(102\) −10.6456 6.64520i −1.05407 0.657973i
\(103\) 1.52864 0.150622 0.0753108 0.997160i \(-0.476005\pi\)
0.0753108 + 0.997160i \(0.476005\pi\)
\(104\) −5.06967 + 2.92698i −0.497122 + 0.287014i
\(105\) −0.223701 4.51750i −0.0218310 0.440863i
\(106\) −2.88035 −0.279764
\(107\) 2.11659i 0.204619i 0.994753 + 0.102309i \(0.0326232\pi\)
−0.994753 + 0.102309i \(0.967377\pi\)
\(108\) −2.12008 4.74397i −0.204005 0.456489i
\(109\) −2.57164 1.48474i −0.246318 0.142212i 0.371759 0.928329i \(-0.378755\pi\)
−0.618077 + 0.786117i \(0.712088\pi\)
\(110\) 5.67283 + 8.15962i 0.540883 + 0.777990i
\(111\) −3.23973 6.08621i −0.307501 0.577678i
\(112\) 1.01138 + 0.583921i 0.0955666 + 0.0551754i
\(113\) 18.6101i 1.75069i 0.483497 + 0.875346i \(0.339366\pi\)
−0.483497 + 0.875346i \(0.660634\pi\)
\(114\) 4.54855 + 6.02584i 0.426010 + 0.564372i
\(115\) 1.56070 0.131283i 0.145536 0.0122422i
\(116\) −4.91327 + 8.51002i −0.456185 + 0.790136i
\(117\) 17.5202 + 1.20876i 1.61974 + 0.111750i
\(118\) −8.29339 + 4.78819i −0.763468 + 0.440789i
\(119\) −7.32785 4.23073i −0.671742 0.387831i
\(120\) −0.191551 3.86824i −0.0174861 0.353121i
\(121\) −8.75209 −0.795645
\(122\) 2.15854i 0.195425i
\(123\) 8.12245 + 0.279861i 0.732376 + 0.0252342i
\(124\) −1.78837 + 1.03252i −0.160601 + 0.0927228i
\(125\) −10.8279 + 2.78512i −0.968475 + 0.249109i
\(126\) −1.53877 3.14752i −0.137085 0.280403i
\(127\) 2.52371 + 4.37120i 0.223943 + 0.387881i 0.956002 0.293360i \(-0.0947736\pi\)
−0.732059 + 0.681242i \(0.761440\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −0.498503 + 14.4681i −0.0438907 + 1.27385i
\(130\) 11.8448 + 5.57167i 1.03886 + 0.488668i
\(131\) 16.9662 + 9.79541i 1.48234 + 0.855829i 0.999799 0.0200446i \(-0.00638083\pi\)
0.482540 + 0.875874i \(0.339714\pi\)
\(132\) 6.53001 + 4.07618i 0.568364 + 0.354786i
\(133\) 3.20496 + 3.95493i 0.277906 + 0.342936i
\(134\) 11.1101i 0.959763i
\(135\) −6.00363 + 9.94769i −0.516710 + 0.856161i
\(136\) −6.27468 3.62269i −0.538050 0.310643i
\(137\) −8.48983 14.7048i −0.725335 1.25632i −0.958836 0.283961i \(-0.908351\pi\)
0.233501 0.972357i \(-0.424982\pi\)
\(138\) 1.07091 0.570054i 0.0911623 0.0485262i
\(139\) 10.2527 + 17.7583i 0.869626 + 1.50624i 0.862380 + 0.506262i \(0.168973\pi\)
0.00724626 + 0.999974i \(0.497693\pi\)
\(140\) −0.218890 2.60219i −0.0184995 0.219925i
\(141\) 4.92818 7.89491i 0.415028 0.664871i
\(142\) 8.72776 5.03898i 0.732418 0.422861i
\(143\) −22.5313 + 13.0085i −1.88416 + 1.08782i
\(144\) −1.31762 2.69516i −0.109802 0.224597i
\(145\) 21.8955 1.84179i 1.81832 0.152953i
\(146\) −3.15105 5.45777i −0.260782 0.451688i
\(147\) 4.58703 + 8.61728i 0.378332 + 0.710741i
\(148\) −1.99035 3.44738i −0.163606 0.283373i
\(149\) 10.2436 + 5.91412i 0.839185 + 0.484504i 0.856987 0.515338i \(-0.172333\pi\)
−0.0178019 + 0.999842i \(0.505667\pi\)
\(150\) −6.85745 + 5.28918i −0.559908 + 0.431860i
\(151\) 9.18634i 0.747574i 0.927515 + 0.373787i \(0.121941\pi\)
−0.927515 + 0.373787i \(0.878059\pi\)
\(152\) 2.74435 + 3.38653i 0.222596 + 0.274684i
\(153\) 9.54666 + 19.5274i 0.771802 + 1.57870i
\(154\) 4.49492 + 2.59514i 0.362211 + 0.209122i
\(155\) 4.17837 + 1.96546i 0.335615 + 0.157869i
\(156\) 10.1333 + 0.349147i 0.811316 + 0.0279541i
\(157\) −11.2667 6.50486i −0.899184 0.519144i −0.0222487 0.999752i \(-0.507083\pi\)
−0.876935 + 0.480608i \(0.840416\pi\)
\(158\) −1.99699 3.45889i −0.158872 0.275174i
\(159\) 4.23207 + 2.64175i 0.335625 + 0.209505i
\(160\) −0.187431 2.22820i −0.0148177 0.176155i
\(161\) 0.708405 0.408998i 0.0558301 0.0322335i
\(162\) −1.23598 + 8.91473i −0.0971078 + 0.700407i
\(163\) 2.00935i 0.157384i −0.996899 0.0786921i \(-0.974926\pi\)
0.996899 0.0786921i \(-0.0250744\pi\)
\(164\) 4.69228 0.366406
\(165\) −0.851315 17.1918i −0.0662748 1.33838i
\(166\) 3.67025 + 2.11902i 0.284867 + 0.164468i
\(167\) 2.46529 1.42333i 0.190770 0.110141i −0.401573 0.915827i \(-0.631536\pi\)
0.592343 + 0.805686i \(0.298203\pi\)
\(168\) −0.950460 1.78555i −0.0733296 0.137758i
\(169\) −10.6344 + 18.4193i −0.818030 + 1.41687i
\(170\) 1.35801 + 16.1441i 0.104154 + 1.23820i
\(171\) −1.15644 13.0255i −0.0884355 0.996082i
\(172\) 8.35812i 0.637301i
\(173\) −18.5676 10.7200i −1.41167 0.815025i −0.416120 0.909310i \(-0.636610\pi\)
−0.995545 + 0.0942842i \(0.969944\pi\)
\(174\) 15.0241 7.99742i 1.13897 0.606282i
\(175\) −4.49812 + 3.72335i −0.340026 + 0.281459i
\(176\) 3.84890 + 2.22217i 0.290122 + 0.167502i
\(177\) 16.5769 + 0.571163i 1.24600 + 0.0429312i
\(178\) 11.9389i 0.894861i
\(179\) 9.88686 0.738979 0.369489 0.929235i \(-0.379533\pi\)
0.369489 + 0.929235i \(0.379533\pi\)
\(180\) −3.26637 + 5.85925i −0.243461 + 0.436723i
\(181\) −8.24904 + 4.76259i −0.613146 + 0.354000i −0.774196 0.632946i \(-0.781845\pi\)
0.161050 + 0.986946i \(0.448512\pi\)
\(182\) 6.83650 0.506755
\(183\) 1.97973 3.17151i 0.146346 0.234445i
\(184\) 0.606593 0.350216i 0.0447186 0.0258183i
\(185\) −3.78874 + 8.05451i −0.278554 + 0.592179i
\(186\) 3.57462 + 0.123165i 0.262104 + 0.00903087i
\(187\) −27.8868 16.1004i −2.03928 1.17738i
\(188\) 2.68664 4.65340i 0.195944 0.339384i
\(189\) −0.625891 + 6.03593i −0.0455268 + 0.439049i
\(190\) 2.71460 9.36114i 0.196938 0.679129i
\(191\) 12.4576i 0.901402i −0.892675 0.450701i \(-0.851174\pi\)
0.892675 0.450701i \(-0.148826\pi\)
\(192\) −0.813860 1.52893i −0.0587353 0.110341i
\(193\) 2.92632 5.06853i 0.210641 0.364841i −0.741274 0.671202i \(-0.765778\pi\)
0.951915 + 0.306361i \(0.0991116\pi\)
\(194\) −2.42953 + 1.40269i −0.174430 + 0.100707i
\(195\) −12.2934 19.0501i −0.880346 1.36420i
\(196\) 2.81807 + 4.88104i 0.201291 + 0.348646i
\(197\) −5.44911 −0.388233 −0.194117 0.980978i \(-0.562184\pi\)
−0.194117 + 0.980978i \(0.562184\pi\)
\(198\) −5.85594 11.9782i −0.416164 0.851252i
\(199\) −10.6120 18.3805i −0.752266 1.30296i −0.946722 0.322051i \(-0.895628\pi\)
0.194456 0.980911i \(-0.437706\pi\)
\(200\) −3.85165 + 3.18823i −0.272353 + 0.225442i
\(201\) −10.1898 + 16.3239i −0.718730 + 1.15140i
\(202\) −3.05768 −0.215137
\(203\) 9.93837 5.73792i 0.697537 0.402723i
\(204\) 5.89672 + 11.0777i 0.412853 + 0.775594i
\(205\) −5.98932 8.61484i −0.418312 0.601687i
\(206\) −1.32384 0.764321i −0.0922366 0.0532528i
\(207\) −2.09632 0.144630i −0.145704 0.0100525i
\(208\) 5.85395 0.405899
\(209\) 12.1968 + 15.0509i 0.843669 + 1.04109i
\(210\) −2.06502 + 4.02412i −0.142500 + 0.277691i
\(211\) 13.7491 + 7.93808i 0.946530 + 0.546480i 0.892001 0.452033i \(-0.149301\pi\)
0.0545290 + 0.998512i \(0.482634\pi\)
\(212\) 2.49446 + 1.44018i 0.171320 + 0.0989116i
\(213\) −17.4452 0.601078i −1.19532 0.0411852i
\(214\) 1.05830 1.83302i 0.0723436 0.125303i
\(215\) 15.3452 10.6685i 1.04653 0.727583i
\(216\) −0.535937 + 5.16844i −0.0364659 + 0.351668i
\(217\) 2.41164 0.163712
\(218\) 1.48474 + 2.57164i 0.100559 + 0.174173i
\(219\) −0.375875 + 10.9091i −0.0253993 + 0.737167i
\(220\) −0.833004 9.90286i −0.0561611 0.667650i
\(221\) −42.4141 −2.85308
\(222\) −0.237420 + 6.89068i −0.0159346 + 0.462472i
\(223\) −7.81305 + 13.5326i −0.523200 + 0.906210i 0.476435 + 0.879210i \(0.341929\pi\)
−0.999635 + 0.0269999i \(0.991405\pi\)
\(224\) −0.583921 1.01138i −0.0390149 0.0675758i
\(225\) 14.9266 1.48193i 0.995108 0.0987953i
\(226\) 9.30506 16.1168i 0.618963 1.07208i
\(227\) 5.38759i 0.357587i −0.983887 0.178793i \(-0.942781\pi\)
0.983887 0.178793i \(-0.0572193\pi\)
\(228\) −0.926236 7.49280i −0.0613415 0.496223i
\(229\) 9.05245 0.598203 0.299101 0.954221i \(-0.403313\pi\)
0.299101 + 0.954221i \(0.403313\pi\)
\(230\) −1.41725 0.666658i −0.0934507 0.0439581i
\(231\) −4.22416 7.93559i −0.277929 0.522123i
\(232\) 8.51002 4.91327i 0.558710 0.322572i
\(233\) −7.08799 + 12.2768i −0.464349 + 0.804277i −0.999172 0.0406877i \(-0.987045\pi\)
0.534823 + 0.844964i \(0.320378\pi\)
\(234\) −14.5686 9.80693i −0.952377 0.641099i
\(235\) −11.9727 + 1.00712i −0.781016 + 0.0656972i
\(236\) 9.57638 0.623369
\(237\) −0.238212 + 6.91367i −0.0154736 + 0.449091i
\(238\) 4.23073 + 7.32785i 0.274238 + 0.474994i
\(239\) 11.0636i 0.715643i −0.933790 0.357822i \(-0.883520\pi\)
0.933790 0.357822i \(-0.116480\pi\)
\(240\) −1.76823 + 3.44577i −0.114139 + 0.222424i
\(241\) 7.78601 4.49526i 0.501541 0.289565i −0.227809 0.973706i \(-0.573156\pi\)
0.729350 + 0.684141i \(0.239823\pi\)
\(242\) 7.57953 + 4.37605i 0.487231 + 0.281303i
\(243\) 9.99228 11.9647i 0.641005 0.767537i
\(244\) 1.07927 1.86935i 0.0690931 0.119673i
\(245\) 5.36437 11.4041i 0.342717 0.728583i
\(246\) −6.89432 4.30359i −0.439565 0.274387i
\(247\) 23.8252 + 9.13595i 1.51596 + 0.581306i
\(248\) 2.06503 0.131130
\(249\) −3.44917 6.47968i −0.218582 0.410633i
\(250\) 10.7698 + 3.00196i 0.681141 + 0.189860i
\(251\) 2.64013 1.52428i 0.166643 0.0962116i −0.414359 0.910114i \(-0.635994\pi\)
0.581002 + 0.813902i \(0.302661\pi\)
\(252\) −0.241144 + 3.49522i −0.0151906 + 0.220178i
\(253\) 2.69590 1.55648i 0.169490 0.0978549i
\(254\) 5.04743i 0.316704i
\(255\) 12.8115 24.9659i 0.802289 1.56343i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 12.1160 6.99520i 0.755778 0.436349i −0.0719998 0.997405i \(-0.522938\pi\)
0.827778 + 0.561056i \(0.189605\pi\)
\(258\) 7.66577 12.2805i 0.477250 0.764550i
\(259\) 4.64883i 0.288864i
\(260\) −7.47210 10.7476i −0.463400 0.666540i
\(261\) −29.4097 2.02905i −1.82041 0.125595i
\(262\) −9.79541 16.9662i −0.605163 1.04817i
\(263\) 9.62656 16.6737i 0.593599 1.02814i −0.400144 0.916452i \(-0.631040\pi\)
0.993743 0.111691i \(-0.0356268\pi\)
\(264\) −3.61706 6.79508i −0.222615 0.418208i
\(265\) −0.539866 6.41799i −0.0331637 0.394254i
\(266\) −0.798115 5.02755i −0.0489356 0.308259i
\(267\) 10.9500 17.5417i 0.670127 1.07354i
\(268\) −5.55503 + 9.62160i −0.339328 + 0.587733i
\(269\) −5.82981 + 10.0975i −0.355450 + 0.615657i −0.987195 0.159519i \(-0.949006\pi\)
0.631745 + 0.775176i \(0.282339\pi\)
\(270\) 10.1731 5.61314i 0.619117 0.341605i
\(271\) 3.57329 6.18912i 0.217062 0.375962i −0.736847 0.676060i \(-0.763686\pi\)
0.953908 + 0.300098i \(0.0970193\pi\)
\(272\) 3.62269 + 6.27468i 0.219658 + 0.380459i
\(273\) −10.0448 6.27019i −0.607938 0.379489i
\(274\) 16.9797i 1.02578i
\(275\) −17.1180 + 14.1696i −1.03225 + 0.854457i
\(276\) −1.21247 0.0417758i −0.0729819 0.00251461i
\(277\) 27.5262i 1.65389i 0.562281 + 0.826946i \(0.309924\pi\)
−0.562281 + 0.826946i \(0.690076\pi\)
\(278\) 20.5055i 1.22984i
\(279\) −5.13919 3.45948i −0.307675 0.207114i
\(280\) −1.11153 + 2.36300i −0.0664266 + 0.141217i
\(281\) −1.52184 2.63591i −0.0907854 0.157245i 0.817056 0.576558i \(-0.195604\pi\)
−0.907842 + 0.419313i \(0.862271\pi\)
\(282\) −8.21539 + 4.37310i −0.489219 + 0.260414i
\(283\) −11.2881 6.51719i −0.671008 0.387407i 0.125450 0.992100i \(-0.459962\pi\)
−0.796459 + 0.604693i \(0.793296\pi\)
\(284\) −10.0780 −0.598016
\(285\) −12.5742 + 11.2645i −0.744833 + 0.667251i
\(286\) 26.0169 1.53841
\(287\) −4.74569 2.73992i −0.280129 0.161733i
\(288\) −0.206487 + 2.99289i −0.0121673 + 0.176357i
\(289\) −17.7478 30.7400i −1.04399 1.80824i
\(290\) −19.8829 9.35269i −1.16757 0.549209i
\(291\) 4.85617 + 0.167321i 0.284674 + 0.00980852i
\(292\) 6.30209i 0.368802i
\(293\) 13.0414i 0.761889i 0.924598 + 0.380944i \(0.124401\pi\)
−0.924598 + 0.380944i \(0.875599\pi\)
\(294\) 0.336156 9.75630i 0.0196050 0.568999i
\(295\) −12.2235 17.5819i −0.711678 1.02366i
\(296\) 3.98069i 0.231373i
\(297\) −2.38188 + 22.9703i −0.138211 + 1.33287i
\(298\) −5.91412 10.2436i −0.342596 0.593394i
\(299\) 2.05015 3.55097i 0.118563 0.205358i
\(300\) 8.58331 1.15184i 0.495558 0.0665015i
\(301\) 4.88049 8.45325i 0.281307 0.487237i
\(302\) 4.59317 7.95561i 0.264307 0.457794i
\(303\) 4.49261 + 2.80439i 0.258094 + 0.161108i
\(304\) −0.683410 4.30499i −0.0391962 0.246908i
\(305\) −4.80965 + 0.404576i −0.275400 + 0.0231659i
\(306\) 1.49607 21.6846i 0.0855248 1.23963i
\(307\) 13.3093 23.0524i 0.759602 1.31567i −0.183452 0.983029i \(-0.558727\pi\)
0.943054 0.332640i \(-0.107939\pi\)
\(308\) −2.59514 4.49492i −0.147872 0.256122i
\(309\) 1.24410 + 2.33719i 0.0707744 + 0.132958i
\(310\) −2.63585 3.79132i −0.149706 0.215333i
\(311\) 25.1173i 1.42427i 0.702043 + 0.712135i \(0.252272\pi\)
−0.702043 + 0.712135i \(0.747728\pi\)
\(312\) −8.60115 5.36904i −0.486944 0.303962i
\(313\) −16.3680 + 9.45006i −0.925174 + 0.534149i −0.885282 0.465055i \(-0.846035\pi\)
−0.0398916 + 0.999204i \(0.512701\pi\)
\(314\) 6.50486 + 11.2667i 0.367090 + 0.635819i
\(315\) 6.72489 4.01863i 0.378905 0.226424i
\(316\) 3.99398i 0.224679i
\(317\) 22.5012 12.9910i 1.26379 0.729650i 0.289985 0.957031i \(-0.406350\pi\)
0.973806 + 0.227381i \(0.0730164\pi\)
\(318\) −2.34420 4.40386i −0.131456 0.246956i
\(319\) 37.8214 21.8362i 2.11759 1.22259i
\(320\) −0.951780 + 2.02339i −0.0532061 + 0.113111i
\(321\) −3.23612 + 1.72261i −0.180623 + 0.0961466i
\(322\) −0.817995 −0.0455851
\(323\) 4.95156 + 31.1913i 0.275512 + 1.73553i
\(324\) 5.52775 7.10239i 0.307097 0.394577i
\(325\) −10.1947 + 27.4370i −0.565501 + 1.52193i
\(326\) −1.00467 + 1.74015i −0.0556437 + 0.0963777i
\(327\) 0.177108 5.14023i 0.00979409 0.284255i
\(328\) −4.06363 2.34614i −0.224377 0.129544i
\(329\) −5.43444 + 3.13758i −0.299610 + 0.172980i
\(330\) −7.85862 + 15.3142i −0.432603 + 0.843017i
\(331\) 23.2109i 1.27578i 0.770126 + 0.637892i \(0.220193\pi\)
−0.770126 + 0.637892i \(0.779807\pi\)
\(332\) −2.11902 3.67025i −0.116296 0.201431i
\(333\) 6.66872 9.90664i 0.365444 0.542881i
\(334\) −2.84667 −0.155763
\(335\) 24.7554 2.08237i 1.35253 0.113772i
\(336\) −0.0696535 + 2.02156i −0.00379991 + 0.110285i
\(337\) 13.2328 22.9200i 0.720839 1.24853i −0.239825 0.970816i \(-0.577090\pi\)
0.960664 0.277713i \(-0.0895766\pi\)
\(338\) 18.4193 10.6344i 1.00188 0.578434i
\(339\) −28.4536 + 15.1460i −1.54539 + 0.822619i
\(340\) 6.89601 14.6602i 0.373988 0.795064i
\(341\) 9.17770 0.497000
\(342\) −5.51122 + 11.8586i −0.298013 + 0.641240i
\(343\) 14.7570i 0.796805i
\(344\) 4.17906 7.23835i 0.225320 0.390265i
\(345\) 1.47092 + 2.27936i 0.0791914 + 0.122717i
\(346\) 10.7200 + 18.5676i 0.576310 + 0.998198i
\(347\) −0.643502 + 1.11458i −0.0345450 + 0.0598337i −0.882781 0.469785i \(-0.844332\pi\)
0.848236 + 0.529618i \(0.177665\pi\)
\(348\) −17.0100 0.586083i −0.911829 0.0314173i
\(349\) 2.67401 0.143137 0.0715684 0.997436i \(-0.477200\pi\)
0.0715684 + 0.997436i \(0.477200\pi\)
\(350\) 5.75716 0.975459i 0.307733 0.0521405i
\(351\) 12.4109 + 27.7710i 0.662444 + 1.48230i
\(352\) −2.22217 3.84890i −0.118442 0.205147i
\(353\) −9.81096 −0.522185 −0.261092 0.965314i \(-0.584083\pi\)
−0.261092 + 0.965314i \(0.584083\pi\)
\(354\) −14.0705 8.78311i −0.747837 0.466817i
\(355\) 12.8637 + 18.5027i 0.682734 + 0.982023i
\(356\) 5.96947 10.3394i 0.316381 0.547988i
\(357\) 0.504666 14.6470i 0.0267098 0.775201i
\(358\) −8.56227 4.94343i −0.452530 0.261268i
\(359\) −16.4257 9.48337i −0.866914 0.500513i −0.000592303 1.00000i \(-0.500189\pi\)
−0.866321 + 0.499487i \(0.833522\pi\)
\(360\) 5.75839 3.44107i 0.303494 0.181361i
\(361\) 3.93713 18.5876i 0.207218 0.978295i
\(362\) 9.52517 0.500632
\(363\) −7.12297 13.3814i −0.373859 0.702339i
\(364\) −5.92058 3.41825i −0.310323 0.179165i
\(365\) 11.5704 8.04411i 0.605622 0.421048i
\(366\) −3.30025 + 1.75675i −0.172507 + 0.0918265i
\(367\) 6.43921 3.71768i 0.336124 0.194061i −0.322433 0.946592i \(-0.604501\pi\)
0.658557 + 0.752531i \(0.271167\pi\)
\(368\) −0.700433 −0.0365126
\(369\) 6.18264 + 12.6464i 0.321856 + 0.658347i
\(370\) 7.30840 5.08104i 0.379946 0.264150i
\(371\) −1.68190 2.91313i −0.0873198 0.151242i
\(372\) −3.03413 1.89398i −0.157312 0.0981980i
\(373\) 5.91104 0.306062 0.153031 0.988221i \(-0.451097\pi\)
0.153031 + 0.988221i \(0.451097\pi\)
\(374\) 16.1004 + 27.8868i 0.832534 + 1.44199i
\(375\) −13.0706 14.2884i −0.674965 0.737850i
\(376\) −4.65340 + 2.68664i −0.239981 + 0.138553i
\(377\) 28.7620 49.8173i 1.48132 2.56572i
\(378\) 3.56000 4.91432i 0.183107 0.252765i
\(379\) 11.1241i 0.571404i 0.958318 + 0.285702i \(0.0922268\pi\)
−0.958318 + 0.285702i \(0.907773\pi\)
\(380\) −7.03148 + 6.74969i −0.360707 + 0.346252i
\(381\) −4.62932 + 7.41613i −0.237167 + 0.379940i
\(382\) −6.22882 + 10.7886i −0.318694 + 0.551994i
\(383\) 22.9997 + 13.2789i 1.17523 + 0.678520i 0.954906 0.296907i \(-0.0959552\pi\)
0.220324 + 0.975427i \(0.429288\pi\)
\(384\) −0.0596429 + 1.73102i −0.00304364 + 0.0883359i
\(385\) −4.94000 + 10.5020i −0.251766 + 0.535230i
\(386\) −5.06853 + 2.92632i −0.257981 + 0.148946i
\(387\) −22.5265 + 11.0128i −1.14508 + 0.559814i
\(388\) 2.80538 0.142421
\(389\) 2.65222 1.53126i 0.134473 0.0776379i −0.431254 0.902230i \(-0.641929\pi\)
0.565727 + 0.824592i \(0.308596\pi\)
\(390\) 1.12133 + 22.6445i 0.0567807 + 1.14665i
\(391\) 5.07490 0.256649
\(392\) 5.63614i 0.284668i
\(393\) −1.16845 + 33.9122i −0.0589407 + 1.71064i
\(394\) 4.71907 + 2.72456i 0.237743 + 0.137261i
\(395\) 7.33279 5.09799i 0.368953 0.256508i
\(396\) −0.917695 + 13.3014i −0.0461159 + 0.668419i
\(397\) −1.26227 0.728773i −0.0633516 0.0365761i 0.467990 0.883734i \(-0.344978\pi\)
−0.531341 + 0.847158i \(0.678312\pi\)
\(398\) 21.2240i 1.06386i
\(399\) −3.43843 + 8.11893i −0.172137 + 0.406455i
\(400\) 4.92974 0.835266i 0.246487 0.0417633i
\(401\) 12.6383 21.8901i 0.631125 1.09314i −0.356197 0.934411i \(-0.615927\pi\)
0.987322 0.158729i \(-0.0507397\pi\)
\(402\) 16.9865 9.04203i 0.847211 0.450976i
\(403\) 10.4690 6.04431i 0.521500 0.301088i
\(404\) 2.64803 + 1.52884i 0.131744 + 0.0760625i
\(405\) −20.0954 1.08312i −0.998551 0.0538206i
\(406\) −11.4758 −0.569537
\(407\) 17.6915i 0.876937i
\(408\) 0.432135 12.5419i 0.0213939 0.620918i
\(409\) −0.696408 + 0.402071i −0.0344352 + 0.0198811i −0.517119 0.855914i \(-0.672995\pi\)
0.482684 + 0.875795i \(0.339662\pi\)
\(410\) 0.879477 + 10.4553i 0.0434343 + 0.516352i
\(411\) 15.5731 24.9480i 0.768166 1.23060i
\(412\) 0.764321 + 1.32384i 0.0376554 + 0.0652211i
\(413\) −9.68538 5.59185i −0.476586 0.275157i
\(414\) 1.74315 + 1.17341i 0.0856710 + 0.0576700i
\(415\) −4.03368 + 8.57522i −0.198006 + 0.420941i
\(416\) −5.06967 2.92698i −0.248561 0.143507i
\(417\) −18.8069 + 30.1285i −0.920977 + 1.47540i
\(418\) −3.03730 19.1328i −0.148559 0.935816i
\(419\) 13.4979i 0.659417i 0.944083 + 0.329708i \(0.106950\pi\)
−0.944083 + 0.329708i \(0.893050\pi\)
\(420\) 3.80042 2.45248i 0.185441 0.119669i
\(421\) −0.789120 0.455599i −0.0384594 0.0222045i 0.480647 0.876914i \(-0.340402\pi\)
−0.519106 + 0.854710i \(0.673735\pi\)
\(422\) −7.93808 13.7491i −0.386419 0.669298i
\(423\) 16.0816 + 1.10951i 0.781915 + 0.0539463i
\(424\) −1.44018 2.49446i −0.0699411 0.121142i
\(425\) −35.7178 + 6.05182i −1.73257 + 0.293556i
\(426\) 14.8074 + 9.24314i 0.717422 + 0.447831i
\(427\) −2.18310 + 1.26042i −0.105648 + 0.0609958i
\(428\) −1.83302 + 1.05830i −0.0886025 + 0.0511547i
\(429\) −38.2264 23.8618i −1.84559 1.15206i
\(430\) −18.6236 + 1.56657i −0.898108 + 0.0755466i
\(431\) −0.0264515 0.0458154i −0.00127412 0.00220685i 0.865388 0.501103i \(-0.167072\pi\)
−0.866662 + 0.498896i \(0.833739\pi\)
\(432\) 3.04836 4.20803i 0.146664 0.202459i
\(433\) −3.97113 6.87819i −0.190840 0.330545i 0.754689 0.656083i \(-0.227788\pi\)
−0.945529 + 0.325538i \(0.894455\pi\)
\(434\) −2.08854 1.20582i −0.100253 0.0578811i
\(435\) 20.6358 + 31.9777i 0.989411 + 1.53321i
\(436\) 2.96947i 0.142212i
\(437\) −2.85072 1.09313i −0.136368 0.0522914i
\(438\) 5.78005 9.25960i 0.276182 0.442441i
\(439\) 14.1823 + 8.18815i 0.676884 + 0.390799i 0.798680 0.601756i \(-0.205532\pi\)
−0.121796 + 0.992555i \(0.538865\pi\)
\(440\) −4.23003 + 8.99263i −0.201659 + 0.428707i
\(441\) −9.44203 + 14.0265i −0.449621 + 0.667929i
\(442\) 36.7317 + 21.2071i 1.74715 + 1.00872i
\(443\) 6.91816 + 11.9826i 0.328692 + 0.569311i 0.982253 0.187563i \(-0.0600590\pi\)
−0.653561 + 0.756874i \(0.726726\pi\)
\(444\) 3.65095 5.84879i 0.173266 0.277571i
\(445\) −26.6023 + 2.23772i −1.26107 + 0.106078i
\(446\) 13.5326 7.81305i 0.640787 0.369959i
\(447\) −0.705471 + 20.4750i −0.0333676 + 0.968433i
\(448\) 1.16784i 0.0551754i
\(449\) 23.5183 1.10990 0.554950 0.831884i \(-0.312738\pi\)
0.554950 + 0.831884i \(0.312738\pi\)
\(450\) −13.6678 6.17992i −0.644306 0.291324i
\(451\) −18.0601 10.4270i −0.850419 0.490989i
\(452\) −16.1168 + 9.30506i −0.758072 + 0.437673i
\(453\) −14.0453 + 7.47639i −0.659905 + 0.351272i
\(454\) −2.69379 + 4.66579i −0.126426 + 0.218976i
\(455\) 1.28137 + 15.2331i 0.0600715 + 0.714138i
\(456\) −2.94426 + 6.95208i −0.137877 + 0.325561i
\(457\) 6.96100i 0.325622i 0.986657 + 0.162811i \(0.0520561\pi\)
−0.986657 + 0.162811i \(0.947944\pi\)
\(458\) −7.83965 4.52623i −0.366323 0.211497i
\(459\) −22.0865 + 30.4888i −1.03091 + 1.42310i
\(460\) 0.894046 + 1.28597i 0.0416851 + 0.0599585i
\(461\) 20.7009 + 11.9517i 0.964137 + 0.556645i 0.897444 0.441129i \(-0.145422\pi\)
0.0666933 + 0.997774i \(0.478755\pi\)
\(462\) −0.309563 + 8.98450i −0.0144022 + 0.417997i
\(463\) 17.7608i 0.825417i 0.910863 + 0.412708i \(0.135417\pi\)
−0.910863 + 0.412708i \(0.864583\pi\)
\(464\) −9.82653 −0.456185
\(465\) 0.395559 + 7.98806i 0.0183436 + 0.370437i
\(466\) 12.2768 7.08799i 0.568710 0.328345i
\(467\) −32.6995 −1.51315 −0.756575 0.653907i \(-0.773129\pi\)
−0.756575 + 0.653907i \(0.773129\pi\)
\(468\) 7.71329 + 15.7773i 0.356547 + 0.729307i
\(469\) 11.2365 6.48741i 0.518854 0.299561i
\(470\) 10.8723 + 5.11418i 0.501500 + 0.235900i
\(471\) 0.775937 22.5201i 0.0357533 1.03767i
\(472\) −8.29339 4.78819i −0.381734 0.220394i
\(473\) 18.5731 32.1696i 0.853994 1.47916i
\(474\) 3.66313 5.86831i 0.168253 0.269540i
\(475\) 21.3673 + 4.29410i 0.980398 + 0.197027i
\(476\) 8.46147i 0.387831i
\(477\) −0.594753 + 8.62056i −0.0272319 + 0.394708i
\(478\) −5.53179 + 9.58134i −0.253018 + 0.438240i
\(479\) −25.0356 + 14.4543i −1.14391 + 0.660434i −0.947395 0.320067i \(-0.896295\pi\)
−0.196511 + 0.980502i \(0.562961\pi\)
\(480\) 3.25422 2.10001i 0.148534 0.0958519i
\(481\) 11.6514 + 20.1808i 0.531258 + 0.920166i
\(482\) −8.99051 −0.409507
\(483\) 1.20187 + 0.750236i 0.0546871 + 0.0341369i
\(484\) −4.37605 7.57953i −0.198911 0.344524i
\(485\) −3.58084 5.15056i −0.162597 0.233875i
\(486\) −14.6359 + 5.36560i −0.663899 + 0.243389i
\(487\) −20.0400 −0.908099 −0.454050 0.890976i \(-0.650021\pi\)
−0.454050 + 0.890976i \(0.650021\pi\)
\(488\) −1.86935 + 1.07927i −0.0846214 + 0.0488562i
\(489\) 3.07215 1.63533i 0.138928 0.0739520i
\(490\) −10.3477 + 7.19408i −0.467463 + 0.324995i
\(491\) −0.200638 0.115838i −0.00905466 0.00522771i 0.495466 0.868627i \(-0.334997\pi\)
−0.504520 + 0.863400i \(0.668331\pi\)
\(492\) 3.81886 + 7.17418i 0.172167 + 0.323437i
\(493\) 71.1970 3.20655
\(494\) −16.0653 19.8246i −0.722811 0.891950i
\(495\) 25.5922 15.2933i 1.15028 0.687382i
\(496\) −1.78837 1.03252i −0.0803003 0.0463614i
\(497\) 10.1927 + 5.88473i 0.457203 + 0.263966i
\(498\) −0.252769 + 7.33615i −0.0113269 + 0.328741i
\(499\) 8.99484 15.5795i 0.402664 0.697435i −0.591382 0.806392i \(-0.701417\pi\)
0.994047 + 0.108956i \(0.0347508\pi\)
\(500\) −7.82593 7.98466i −0.349986 0.357085i
\(501\) 4.18258 + 2.61086i 0.186864 + 0.116645i
\(502\) −3.04856 −0.136064
\(503\) 1.90273 + 3.29562i 0.0848385 + 0.146945i 0.905322 0.424725i \(-0.139629\pi\)
−0.820484 + 0.571670i \(0.806296\pi\)
\(504\) 1.95645 2.90638i 0.0871471 0.129460i
\(505\) −0.573102 6.81311i −0.0255027 0.303179i
\(506\) −3.11296 −0.138388
\(507\) −36.8167 1.26853i −1.63509 0.0563374i
\(508\) −2.52371 + 4.37120i −0.111972 + 0.193941i
\(509\) −13.8210 23.9387i −0.612605 1.06106i −0.990800 0.135337i \(-0.956788\pi\)
0.378195 0.925726i \(-0.376545\pi\)
\(510\) −23.5781 + 15.2154i −1.04405 + 0.673748i
\(511\) 3.67993 6.37382i 0.162790 0.281961i
\(512\) 1.00000i 0.0441942i
\(513\) 18.9739 12.3690i 0.837716 0.546106i
\(514\) −13.9904 −0.617090
\(515\) 1.45493 3.09304i 0.0641119 0.136296i
\(516\) −12.7790 + 6.80234i −0.562564 + 0.299456i
\(517\) −20.6813 + 11.9403i −0.909561 + 0.525135i
\(518\) 2.32441 4.02600i 0.102129 0.176892i
\(519\) 1.27874 37.1131i 0.0561305 1.62908i
\(520\) 1.09721 + 13.0438i 0.0481159 + 0.572007i
\(521\) 3.45376 0.151312 0.0756560 0.997134i \(-0.475895\pi\)
0.0756560 + 0.997134i \(0.475895\pi\)
\(522\) 24.4550 + 16.4620i 1.07037 + 0.720524i
\(523\) 4.35089 + 7.53596i 0.190251 + 0.329524i 0.945333 0.326106i \(-0.105736\pi\)
−0.755082 + 0.655630i \(0.772403\pi\)
\(524\) 19.5908i 0.855829i
\(525\) −9.35359 3.84703i −0.408224 0.167898i
\(526\) −16.6737 + 9.62656i −0.727007 + 0.419738i
\(527\) 12.9574 + 7.48098i 0.564435 + 0.325877i
\(528\) −0.265073 + 7.69324i −0.0115358 + 0.334805i
\(529\) 11.2547 19.4937i 0.489335 0.847552i
\(530\) −2.74146 + 5.82808i −0.119081 + 0.253156i
\(531\) 12.6180 + 25.8099i 0.547576 + 1.12005i
\(532\) −1.82259 + 4.75305i −0.0790193 + 0.206071i
\(533\) −27.4684 −1.18979
\(534\) −18.2538 + 9.71662i −0.789920 + 0.420479i
\(535\) 4.28270 + 2.01453i 0.185157 + 0.0870957i
\(536\) 9.62160 5.55503i 0.415590 0.239941i
\(537\) 8.04652 + 15.1163i 0.347233 + 0.652318i
\(538\) 10.0975 5.82981i 0.435336 0.251341i
\(539\) 25.0489i 1.07893i
\(540\) −11.6168 0.225451i −0.499906 0.00970185i
\(541\) 10.0573 + 17.4197i 0.432397 + 0.748933i 0.997079 0.0763753i \(-0.0243347\pi\)
−0.564683 + 0.825308i \(0.691001\pi\)
\(542\) −6.18912 + 3.57329i −0.265845 + 0.153486i
\(543\) −13.9952 8.73614i −0.600593 0.374904i
\(544\) 7.24538i 0.310643i
\(545\) −5.45184 + 3.79029i −0.233531 + 0.162358i
\(546\) 5.56395 + 10.4525i 0.238115 + 0.447327i
\(547\) 18.3336 + 31.7548i 0.783889 + 1.35774i 0.929661 + 0.368417i \(0.120100\pi\)
−0.145772 + 0.989318i \(0.546567\pi\)
\(548\) 8.48983 14.7048i 0.362668 0.628159i
\(549\) 6.46025 + 0.445709i 0.275717 + 0.0190224i
\(550\) 21.9094 3.71220i 0.934220 0.158289i
\(551\) −39.9934 15.3357i −1.70377 0.653324i
\(552\) 1.02914 + 0.642412i 0.0438030 + 0.0273429i
\(553\) 2.33217 4.03944i 0.0991740 0.171774i
\(554\) 13.7631 23.8384i 0.584739 1.01280i
\(555\) −15.3983 + 0.762505i −0.653621 + 0.0323665i
\(556\) −10.2527 + 17.7583i −0.434813 + 0.753118i
\(557\) −9.07905 15.7254i −0.384692 0.666306i 0.607034 0.794675i \(-0.292359\pi\)
−0.991726 + 0.128370i \(0.959026\pi\)
\(558\) 2.72093 + 5.56559i 0.115186 + 0.235610i
\(559\) 48.9281i 2.06944i
\(560\) 2.14411 1.49066i 0.0906054 0.0629918i
\(561\) 1.92055 55.7405i 0.0810858 2.35337i
\(562\) 3.04368i 0.128390i
\(563\) 20.4523i 0.861960i 0.902362 + 0.430980i \(0.141832\pi\)
−0.902362 + 0.430980i \(0.858168\pi\)
\(564\) 9.30128 + 0.320478i 0.391655 + 0.0134946i
\(565\) 37.6556 + 17.7127i 1.58418 + 0.745180i
\(566\) 6.51719 + 11.2881i 0.273938 + 0.474475i
\(567\) −9.73791 + 3.95545i −0.408954 + 0.166113i
\(568\) 8.72776 + 5.03898i 0.366209 + 0.211431i
\(569\) −12.5851 −0.527594 −0.263797 0.964578i \(-0.584975\pi\)
−0.263797 + 0.964578i \(0.584975\pi\)
\(570\) 16.5218 3.46822i 0.692024 0.145268i
\(571\) −10.0594 −0.420971 −0.210486 0.977597i \(-0.567505\pi\)
−0.210486 + 0.977597i \(0.567505\pi\)
\(572\) −22.5313 13.0085i −0.942081 0.543911i
\(573\) 19.0469 10.1388i 0.795694 0.423553i
\(574\) 2.73992 + 4.74569i 0.114362 + 0.198081i
\(575\) 1.21981 3.28287i 0.0508696 0.136905i
\(576\) 1.67527 2.48867i 0.0698027 0.103695i
\(577\) 16.7709i 0.698180i 0.937089 + 0.349090i \(0.113509\pi\)
−0.937089 + 0.349090i \(0.886491\pi\)
\(578\) 35.4956i 1.47642i
\(579\) 10.1311 + 0.349068i 0.421032 + 0.0145068i
\(580\) 12.5428 + 18.0411i 0.520810 + 0.749117i
\(581\) 4.94937i 0.205334i
\(582\) −4.12191 2.57299i −0.170859 0.106654i
\(583\) −6.40062 11.0862i −0.265086 0.459143i
\(584\) 3.15105 5.45777i 0.130391 0.225844i
\(585\) 19.1212 34.2998i 0.790564 1.41812i
\(586\) 6.52072 11.2942i 0.269368 0.466560i
\(587\) 9.71946 16.8346i 0.401165 0.694838i −0.592702 0.805422i \(-0.701939\pi\)
0.993867 + 0.110584i \(0.0352721\pi\)
\(588\) −5.16927 + 8.28112i −0.213177 + 0.341508i
\(589\) −5.66717 6.99329i −0.233512 0.288154i
\(590\) 1.79491 + 21.3381i 0.0738952 + 0.878475i
\(591\) −4.43481 8.33132i −0.182424 0.342705i
\(592\) 1.99035 3.44738i 0.0818028 0.141687i
\(593\) 14.1854 + 24.5698i 0.582525 + 1.00896i 0.995179 + 0.0980747i \(0.0312684\pi\)
−0.412654 + 0.910888i \(0.635398\pi\)
\(594\) 13.5479 18.7019i 0.555877 0.767348i
\(595\) −15.5349 + 10.8004i −0.636870 + 0.442772i
\(596\) 11.8282i 0.484504i
\(597\) 19.4659 31.1842i 0.796687 1.27629i
\(598\) −3.55097 + 2.05015i −0.145210 + 0.0838369i
\(599\) −6.47950 11.2228i −0.264745 0.458552i 0.702752 0.711435i \(-0.251954\pi\)
−0.967497 + 0.252883i \(0.918621\pi\)
\(600\) −8.00929 3.29413i −0.326978 0.134482i
\(601\) 10.2334i 0.417429i 0.977977 + 0.208714i \(0.0669279\pi\)
−0.977977 + 0.208714i \(0.933072\pi\)
\(602\) −8.45325 + 4.88049i −0.344529 + 0.198914i
\(603\) −33.2512 2.29408i −1.35409 0.0934221i
\(604\) −7.95561 + 4.59317i −0.323709 + 0.186894i
\(605\) −8.33006 + 17.7089i −0.338665 + 0.719970i
\(606\) −2.48852 4.67498i −0.101089 0.189908i
\(607\) −15.9889 −0.648971 −0.324485 0.945891i \(-0.605191\pi\)
−0.324485 + 0.945891i \(0.605191\pi\)
\(608\) −1.56065 + 4.06994i −0.0632925 + 0.165058i
\(609\) 16.8613 + 10.5252i 0.683256 + 0.426504i
\(610\) 4.36756 + 2.05445i 0.176838 + 0.0831823i
\(611\) −15.7275 + 27.2408i −0.636266 + 1.10204i
\(612\) −12.1379 + 18.0314i −0.490647 + 0.728875i
\(613\) −20.1412 11.6285i −0.813494 0.469671i 0.0346735 0.999399i \(-0.488961\pi\)
−0.848168 + 0.529727i \(0.822294\pi\)
\(614\) −23.0524 + 13.3093i −0.930318 + 0.537119i
\(615\) 8.29705 16.1685i 0.334569 0.651978i
\(616\) 5.19028i 0.209122i
\(617\) 3.37556 + 5.84665i 0.135895 + 0.235377i 0.925939 0.377673i \(-0.123276\pi\)
−0.790044 + 0.613050i \(0.789942\pi\)
\(618\) 0.0911727 2.64612i 0.00366750 0.106442i
\(619\) 29.1916 1.17331 0.586655 0.809837i \(-0.300445\pi\)
0.586655 + 0.809837i \(0.300445\pi\)
\(620\) 0.387051 + 4.60131i 0.0155443 + 0.184793i
\(621\) −1.48498 3.32283i −0.0595901 0.133341i
\(622\) 12.5586 21.7522i 0.503555 0.872184i
\(623\) −12.0748 + 6.97140i −0.483768 + 0.279303i
\(624\) 4.76430 + 8.95030i 0.190724 + 0.358299i
\(625\) −4.67037 + 24.5599i −0.186815 + 0.982395i
\(626\) 18.9001 0.755401
\(627\) −13.0853 + 30.8973i −0.522575 + 1.23392i
\(628\) 13.0097i 0.519144i
\(629\) −14.4208 + 24.9776i −0.574996 + 0.995922i
\(630\) −7.83324 + 0.117795i −0.312084 + 0.00469307i
\(631\) −11.0202 19.0875i −0.438705 0.759860i 0.558884 0.829246i \(-0.311230\pi\)
−0.997590 + 0.0693854i \(0.977896\pi\)
\(632\) 1.99699 3.45889i 0.0794360 0.137587i
\(633\) −0.946899 + 27.4820i −0.0376359 + 1.09231i
\(634\) −25.9821 −1.03188
\(635\) 11.2467 0.946043i 0.446310 0.0375426i
\(636\) −0.171792 + 4.98595i −0.00681201 + 0.197706i
\(637\) −16.4969 28.5734i −0.653629 1.13212i
\(638\) −43.6724 −1.72901
\(639\) −13.2789 27.1617i −0.525306 1.07450i
\(640\) 1.83596 1.27642i 0.0725727 0.0504549i
\(641\) −0.843012 + 1.46014i −0.0332970 + 0.0576720i −0.882194 0.470887i \(-0.843934\pi\)
0.848897 + 0.528559i \(0.177267\pi\)
\(642\) 3.66387 + 0.126240i 0.144601 + 0.00498228i
\(643\) 11.9840 + 6.91896i 0.472603 + 0.272857i 0.717329 0.696735i \(-0.245365\pi\)
−0.244726 + 0.969592i \(0.578698\pi\)
\(644\) 0.708405 + 0.408998i 0.0279151 + 0.0161168i
\(645\) 28.8002 + 14.7791i 1.13401 + 0.581927i
\(646\) 11.3075 29.4882i 0.444887 1.16020i
\(647\) 12.2600 0.481992 0.240996 0.970526i \(-0.422526\pi\)
0.240996 + 0.970526i \(0.422526\pi\)
\(648\) −8.33837 + 3.38697i −0.327562 + 0.133053i
\(649\) −36.8586 21.2803i −1.44683 0.835325i
\(650\) 22.5474 18.6638i 0.884380 0.732053i
\(651\) 1.96273 + 3.68723i 0.0769256 + 0.144514i
\(652\) 1.74015 1.00467i 0.0681493 0.0393460i
\(653\) 23.1604 0.906335 0.453168 0.891425i \(-0.350294\pi\)
0.453168 + 0.891425i \(0.350294\pi\)
\(654\) −2.72349 + 4.36302i −0.106497 + 0.170607i
\(655\) 35.9680 25.0061i 1.40539 0.977069i
\(656\) 2.34614 + 4.06363i 0.0916014 + 0.158658i
\(657\) −16.9851 + 8.30376i −0.662653 + 0.323961i
\(658\) 6.27515 0.244631
\(659\) −2.10800 3.65117i −0.0821162 0.142229i 0.822043 0.569426i \(-0.192835\pi\)
−0.904159 + 0.427197i \(0.859501\pi\)
\(660\) 14.4628 9.33314i 0.562965 0.363292i
\(661\) 8.98322 5.18646i 0.349407 0.201730i −0.315017 0.949086i \(-0.602010\pi\)
0.664424 + 0.747356i \(0.268677\pi\)
\(662\) 11.6054 20.1012i 0.451058 0.781255i
\(663\) −34.5191 64.8483i −1.34061 2.51850i
\(664\) 4.23804i 0.164468i
\(665\) 11.0528 2.72068i 0.428609 0.105503i
\(666\) −10.7286 + 5.24504i −0.415725 + 0.203241i
\(667\) −3.44141 + 5.96070i −0.133252 + 0.230799i
\(668\) 2.46529 + 1.42333i 0.0953848 + 0.0550705i
\(669\) −27.0491 0.931985i −1.04578 0.0360326i
\(670\) −22.4800 10.5743i −0.868479 0.408522i
\(671\) −8.30800 + 4.79663i −0.320727 + 0.185172i
\(672\) 1.07110 1.71590i 0.0413187 0.0661922i
\(673\) −17.6713 −0.681179 −0.340590 0.940212i \(-0.610627\pi\)
−0.340590 + 0.940212i \(0.610627\pi\)
\(674\) −22.9200 + 13.2328i −0.882844 + 0.509710i
\(675\) 14.4139 + 21.6157i 0.554793 + 0.831989i
\(676\) −21.2688 −0.818030
\(677\) 8.87958i 0.341270i −0.985334 0.170635i \(-0.945418\pi\)
0.985334 0.170635i \(-0.0545819\pi\)
\(678\) 32.2145 + 1.10996i 1.23719 + 0.0426278i
\(679\) −2.83731 1.63812i −0.108886 0.0628653i
\(680\) −13.3022 + 9.24814i −0.510118 + 0.354650i
\(681\) 8.23725 4.38474i 0.315652 0.168024i
\(682\) −7.94812 4.58885i −0.304349 0.175716i
\(683\) 23.8171i 0.911337i 0.890149 + 0.455669i \(0.150600\pi\)
−0.890149 + 0.455669i \(0.849400\pi\)
\(684\) 10.7022 7.51424i 0.409207 0.287314i
\(685\) −37.8341 + 3.18251i −1.44557 + 0.121597i
\(686\) −7.37851 + 12.7800i −0.281713 + 0.487941i
\(687\) 7.36742 + 13.8406i 0.281085 + 0.528051i
\(688\) −7.23835 + 4.17906i −0.275959 + 0.159325i
\(689\) −14.6024 8.43072i −0.556308 0.321185i
\(690\) −0.134168 2.70944i −0.00510770 0.103147i
\(691\) −30.5050 −1.16046 −0.580232 0.814451i \(-0.697038\pi\)
−0.580232 + 0.814451i \(0.697038\pi\)
\(692\) 21.4400i 0.815025i
\(693\) 8.69510 12.9169i 0.330300 0.490673i
\(694\) 1.11458 0.643502i 0.0423088 0.0244270i
\(695\) 45.6903 3.84335i 1.73313 0.145787i
\(696\) 14.4380 + 9.01254i 0.547271 + 0.341619i
\(697\) −16.9987 29.4426i −0.643871 1.11522i
\(698\) −2.31576 1.33701i −0.0876530 0.0506065i
\(699\) −24.5389 0.845496i −0.928148 0.0319796i
\(700\) −5.47358 2.03381i −0.206882 0.0768707i
\(701\) 5.48678 + 3.16779i 0.207233 + 0.119646i 0.600025 0.799981i \(-0.295157\pi\)
−0.392792 + 0.919627i \(0.628491\pi\)
\(702\) 3.13735 30.2558i 0.118412 1.14193i
\(703\) 13.4807 10.9244i 0.508435 0.412022i
\(704\) 4.44433i 0.167502i
\(705\) −11.2839 17.4859i −0.424978 0.658556i
\(706\) 8.49654 + 4.90548i 0.319772 + 0.184620i
\(707\) −1.78544 3.09248i −0.0671485 0.116305i
\(708\) 7.79383 + 14.6416i 0.292910 + 0.550266i
\(709\) 22.3283 + 38.6737i 0.838557 + 1.45242i 0.891101 + 0.453805i \(0.149934\pi\)
−0.0525444 + 0.998619i \(0.516733\pi\)
\(710\) −1.88892 22.4557i −0.0708898 0.842747i
\(711\) −10.7644 + 5.26255i −0.403697 + 0.197361i
\(712\) −10.3394 + 5.96947i −0.387486 + 0.223715i
\(713\) −1.25263 + 0.723209i −0.0469115 + 0.0270844i
\(714\) −7.76055 + 12.4323i −0.290431 + 0.465269i
\(715\) 4.87637 + 57.9709i 0.182366 + 2.16799i
\(716\) 4.94343 + 8.56227i 0.184745 + 0.319987i
\(717\) 16.9155 9.00420i 0.631719 0.336268i
\(718\) 9.48337 + 16.4257i 0.353916 + 0.613001i
\(719\) 6.46441 + 3.73223i 0.241082 + 0.139189i 0.615674 0.788001i \(-0.288884\pi\)
−0.374592 + 0.927190i \(0.622217\pi\)
\(720\) −6.70745 + 0.100866i −0.249972 + 0.00375904i
\(721\) 1.78521i 0.0664849i
\(722\) −12.7035 + 14.1288i −0.472774 + 0.525818i
\(723\) 13.2097 + 8.24578i 0.491273 + 0.306664i
\(724\) −8.24904 4.76259i −0.306573 0.177000i
\(725\) 17.1130 46.0561i 0.635560 1.71048i
\(726\) −0.522000 + 15.1501i −0.0193732 + 0.562272i
\(727\) 11.8608 + 6.84785i 0.439894 + 0.253973i 0.703553 0.710643i \(-0.251596\pi\)
−0.263659 + 0.964616i \(0.584929\pi\)
\(728\) 3.41825 + 5.92058i 0.126689 + 0.219431i
\(729\) 26.4255 + 5.53992i 0.978724 + 0.205182i
\(730\) −14.0423 + 1.18121i −0.519729 + 0.0437184i
\(731\) 52.4446 30.2789i 1.93973 1.11991i
\(732\) 3.73648 + 0.128741i 0.138104 + 0.00475842i
\(733\) 34.5888i 1.27757i 0.769387 + 0.638783i \(0.220562\pi\)
−0.769387 + 0.638783i \(0.779438\pi\)
\(734\) −7.43536 −0.274444
\(735\) 21.8020 1.07961i 0.804178 0.0398219i
\(736\) 0.606593 + 0.350216i 0.0223593 + 0.0129091i
\(737\) 42.7616 24.6884i 1.57514 0.909409i
\(738\) 0.968892 14.0435i 0.0356654 0.516947i
\(739\) 8.73486 15.1292i 0.321317 0.556537i −0.659443 0.751754i \(-0.729208\pi\)
0.980760 + 0.195217i \(0.0625412\pi\)
\(740\) −8.86978 + 0.746104i −0.326060 + 0.0274273i
\(741\) 5.42214 + 43.8625i 0.199187 + 1.61133i
\(742\) 3.36380i 0.123489i
\(743\) −1.29522 0.747797i −0.0475171 0.0274340i 0.476053 0.879416i \(-0.342067\pi\)
−0.523570 + 0.851982i \(0.675400\pi\)
\(744\) 1.68065 + 3.15730i 0.0616155 + 0.115752i
\(745\) 21.7162 15.0978i 0.795620 0.553141i
\(746\) −5.11911 2.95552i −0.187424 0.108209i
\(747\) 7.09984 10.5471i 0.259770 0.385898i
\(748\) 32.2009i 1.17738i
\(749\) 2.47185 0.0903193
\(750\) 4.17531 + 18.9094i 0.152461 + 0.690475i
\(751\) 7.14076 4.12272i 0.260570 0.150440i −0.364024 0.931389i \(-0.618598\pi\)
0.624595 + 0.780949i \(0.285264\pi\)
\(752\) 5.37328 0.195944
\(753\) 4.47921 + 2.79603i 0.163231 + 0.101893i
\(754\) −49.8173 + 28.7620i −1.81424 + 1.04745i
\(755\) 18.5876 + 8.74338i 0.676471 + 0.318204i
\(756\) −5.54021 + 2.47593i −0.201496 + 0.0900485i
\(757\) −3.75263 2.16658i −0.136392 0.0787457i 0.430252 0.902709i \(-0.358425\pi\)
−0.566643 + 0.823963i \(0.691758\pi\)
\(758\) 5.56203 9.63371i 0.202022 0.349912i
\(759\) 4.57383 + 2.85509i 0.166020 + 0.103633i
\(760\) 9.46428 2.32966i 0.343306 0.0845056i
\(761\) 2.78949i 0.101119i 0.998721 + 0.0505594i \(0.0161004\pi\)
−0.998721 + 0.0505594i \(0.983900\pi\)
\(762\) 7.71717 4.10790i 0.279564 0.148813i
\(763\) −1.73394 + 3.00327i −0.0627728 + 0.108726i
\(764\) 10.7886 6.22882i 0.390319 0.225351i
\(765\) 48.5980 0.730810i 1.75706 0.0264225i
\(766\) −13.2789 22.9997i −0.479786 0.831013i
\(767\) −56.0597 −2.02420
\(768\) 0.917164 1.46929i 0.0330953 0.0530184i
\(769\) −1.79716 3.11277i −0.0648072 0.112249i 0.831801 0.555074i \(-0.187310\pi\)
−0.896608 + 0.442824i \(0.853977\pi\)
\(770\) 9.52916 6.62498i 0.343407 0.238748i
\(771\) 20.5559 + 12.8315i 0.740304 + 0.462115i
\(772\) 5.85264 0.210641
\(773\) −10.0993 + 5.83081i −0.363245 + 0.209720i −0.670503 0.741906i \(-0.733922\pi\)
0.307258 + 0.951626i \(0.400589\pi\)
\(774\) 25.0149 + 1.72584i 0.899142 + 0.0620340i
\(775\) 7.95378 6.58381i 0.285708 0.236497i
\(776\) −2.42953