Properties

Label 546.2.u.a.185.4
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.4
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.51699 - 0.835899i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.699535 - 1.21163i) q^{5} +(0.895807 + 1.48241i) q^{6} +(1.97618 + 1.75918i) q^{7} -1.00000i q^{8} +(1.60255 + 2.53611i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.51699 - 0.835899i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.699535 - 1.21163i) q^{5} +(0.895807 + 1.48241i) q^{6} +(1.97618 + 1.75918i) q^{7} -1.00000i q^{8} +(1.60255 + 2.53611i) q^{9} +1.39907i q^{10} -1.26560i q^{11} +(-0.0345880 - 1.73171i) q^{12} +(-3.58555 - 0.379286i) q^{13} +(-0.831830 - 2.51159i) q^{14} +(0.0483911 + 2.42278i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.43402 + 5.94790i) q^{17} +(-0.119792 - 2.99761i) q^{18} +4.61200i q^{19} +(0.699535 - 1.21163i) q^{20} +(-1.52735 - 4.32055i) q^{21} +(-0.632798 + 1.09604i) q^{22} +(2.17983 + 1.25852i) q^{23} +(-0.835899 + 1.51699i) q^{24} +(1.52130 - 2.63497i) q^{25} +(2.91553 + 2.12124i) q^{26} +(-0.311127 - 5.18683i) q^{27} +(-0.535407 + 2.59101i) q^{28} +(4.55247 - 2.62837i) q^{29} +(1.16948 - 2.12238i) q^{30} +(4.41277 + 2.54772i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-1.05791 + 1.91990i) q^{33} -6.86805i q^{34} +(0.749072 - 3.62501i) q^{35} +(-1.39506 + 2.65590i) q^{36} +(3.45697 - 5.98766i) q^{37} +(2.30600 - 3.99411i) q^{38} +(5.12221 + 3.57253i) q^{39} +(-1.21163 + 0.699535i) q^{40} +(-3.22591 - 5.58745i) q^{41} +(-0.837549 + 4.50539i) q^{42} +(6.08396 - 10.5377i) q^{43} +(1.09604 - 0.632798i) q^{44} +(1.95179 - 3.71579i) q^{45} +(-1.25852 - 2.17983i) q^{46} +(1.58414 + 2.74382i) q^{47} +(1.48241 - 0.895807i) q^{48} +(0.810561 + 6.95291i) q^{49} +(-2.63497 + 1.52130i) q^{50} +(-0.237552 - 11.8934i) q^{51} +(-1.46430 - 3.29482i) q^{52} +(0.444106 + 0.256405i) q^{53} +(-2.32397 + 4.64749i) q^{54} +(-1.53343 + 0.885329i) q^{55} +(1.75918 - 1.97618i) q^{56} +(3.85517 - 6.99639i) q^{57} -5.25674 q^{58} +(7.18719 + 12.4486i) q^{59} +(-2.07399 + 1.25330i) q^{60} +3.07454i q^{61} +(-2.54772 - 4.41277i) q^{62} +(-1.29456 + 7.83097i) q^{63} -1.00000 q^{64} +(2.04866 + 4.60968i) q^{65} +(1.87613 - 1.13373i) q^{66} -0.624480 q^{67} +(-3.43402 + 5.94790i) q^{68} +(-2.25479 - 3.73129i) q^{69} +(-2.46122 + 2.76481i) q^{70} +(3.78894 + 2.18755i) q^{71} +(2.53611 - 1.60255i) q^{72} +(-7.24349 - 4.18203i) q^{73} +(-5.98766 + 3.45697i) q^{74} +(-4.51037 + 2.72558i) q^{75} +(-3.99411 + 2.30600i) q^{76} +(2.22641 - 2.50104i) q^{77} +(-2.64970 - 5.65501i) q^{78} +(7.13902 + 12.3651i) q^{79} +1.39907 q^{80} +(-3.86369 + 8.12846i) q^{81} +6.45183i q^{82} +3.52068 q^{83} +(2.97803 - 3.48301i) q^{84} +(4.80444 - 8.32154i) q^{85} +(-10.5377 + 6.08396i) q^{86} +(-9.10312 + 0.181820i) q^{87} -1.26560 q^{88} +(7.94368 - 13.7588i) q^{89} +(-3.54819 + 2.24208i) q^{90} +(-6.41845 - 7.05716i) q^{91} +2.51705i q^{92} +(-4.56452 - 7.55351i) q^{93} -3.16829i q^{94} +(5.58804 - 3.22626i) q^{95} +(-1.73171 + 0.0345880i) q^{96} +(-2.18746 - 1.26293i) q^{97} +(2.77449 - 6.42668i) q^{98} +(3.20969 - 2.02818i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.51699 0.835899i −0.875837 0.482606i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.699535 1.21163i −0.312842 0.541858i 0.666135 0.745831i \(-0.267948\pi\)
−0.978976 + 0.203974i \(0.934614\pi\)
\(6\) 0.895807 + 1.48241i 0.365712 + 0.605190i
\(7\) 1.97618 + 1.75918i 0.746925 + 0.664908i
\(8\) 1.00000i 0.353553i
\(9\) 1.60255 + 2.53611i 0.534182 + 0.845369i
\(10\) 1.39907i 0.442425i
\(11\) 1.26560i 0.381592i −0.981630 0.190796i \(-0.938893\pi\)
0.981630 0.190796i \(-0.0611068\pi\)
\(12\) −0.0345880 1.73171i −0.00998470 0.499900i
\(13\) −3.58555 0.379286i −0.994452 0.105195i
\(14\) −0.831830 2.51159i −0.222316 0.671249i
\(15\) 0.0483911 + 2.42278i 0.0124945 + 0.625558i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 3.43402 + 5.94790i 0.832873 + 1.44258i 0.895750 + 0.444557i \(0.146639\pi\)
−0.0628771 + 0.998021i \(0.520028\pi\)
\(18\) −0.119792 2.99761i −0.0282354 0.706543i
\(19\) 4.61200i 1.05807i 0.848601 + 0.529033i \(0.177445\pi\)
−0.848601 + 0.529033i \(0.822555\pi\)
\(20\) 0.699535 1.21163i 0.156421 0.270929i
\(21\) −1.52735 4.32055i −0.333296 0.942822i
\(22\) −0.632798 + 1.09604i −0.134913 + 0.233676i
\(23\) 2.17983 + 1.25852i 0.454525 + 0.262420i 0.709739 0.704464i \(-0.248813\pi\)
−0.255214 + 0.966885i \(0.582146\pi\)
\(24\) −0.835899 + 1.51699i −0.170627 + 0.309655i
\(25\) 1.52130 2.63497i 0.304260 0.526994i
\(26\) 2.91553 + 2.12124i 0.571783 + 0.416010i
\(27\) −0.311127 5.18683i −0.0598763 0.998206i
\(28\) −0.535407 + 2.59101i −0.101182 + 0.489655i
\(29\) 4.55247 2.62837i 0.845372 0.488076i −0.0137143 0.999906i \(-0.504366\pi\)
0.859087 + 0.511830i \(0.171032\pi\)
\(30\) 1.16948 2.12238i 0.213517 0.387492i
\(31\) 4.41277 + 2.54772i 0.792558 + 0.457583i 0.840862 0.541249i \(-0.182048\pi\)
−0.0483045 + 0.998833i \(0.515382\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −1.05791 + 1.91990i −0.184158 + 0.334212i
\(34\) 6.86805i 1.17786i
\(35\) 0.749072 3.62501i 0.126616 0.612738i
\(36\) −1.39506 + 2.65590i −0.232510 + 0.442650i
\(37\) 3.45697 5.98766i 0.568323 0.984365i −0.428409 0.903585i \(-0.640926\pi\)
0.996732 0.0807796i \(-0.0257410\pi\)
\(38\) 2.30600 3.99411i 0.374083 0.647931i
\(39\) 5.12221 + 3.57253i 0.820210 + 0.572062i
\(40\) −1.21163 + 0.699535i −0.191576 + 0.110606i
\(41\) −3.22591 5.58745i −0.503803 0.872613i −0.999990 0.00439709i \(-0.998600\pi\)
0.496187 0.868216i \(-0.334733\pi\)
\(42\) −0.837549 + 4.50539i −0.129237 + 0.695196i
\(43\) 6.08396 10.5377i 0.927796 1.60699i 0.140794 0.990039i \(-0.455034\pi\)
0.787002 0.616951i \(-0.211632\pi\)
\(44\) 1.09604 0.632798i 0.165234 0.0953979i
\(45\) 1.95179 3.71579i 0.290955 0.553917i
\(46\) −1.25852 2.17983i −0.185559 0.321398i
\(47\) 1.58414 + 2.74382i 0.231071 + 0.400227i 0.958124 0.286355i \(-0.0924437\pi\)
−0.727053 + 0.686582i \(0.759110\pi\)
\(48\) 1.48241 0.895807i 0.213967 0.129299i
\(49\) 0.810561 + 6.95291i 0.115794 + 0.993273i
\(50\) −2.63497 + 1.52130i −0.372641 + 0.215144i
\(51\) −0.237552 11.8934i −0.0332639 1.66541i
\(52\) −1.46430 3.29482i −0.203062 0.456909i
\(53\) 0.444106 + 0.256405i 0.0610026 + 0.0352199i 0.530191 0.847878i \(-0.322120\pi\)
−0.469188 + 0.883098i \(0.655454\pi\)
\(54\) −2.32397 + 4.64749i −0.316252 + 0.632443i
\(55\) −1.53343 + 0.885329i −0.206768 + 0.119378i
\(56\) 1.75918 1.97618i 0.235081 0.264078i
\(57\) 3.85517 6.99639i 0.510629 0.926694i
\(58\) −5.25674 −0.690244
\(59\) 7.18719 + 12.4486i 0.935693 + 1.62067i 0.773393 + 0.633926i \(0.218558\pi\)
0.162300 + 0.986742i \(0.448109\pi\)
\(60\) −2.07399 + 1.25330i −0.267751 + 0.161800i
\(61\) 3.07454i 0.393654i 0.980438 + 0.196827i \(0.0630638\pi\)
−0.980438 + 0.196827i \(0.936936\pi\)
\(62\) −2.54772 4.41277i −0.323560 0.560423i
\(63\) −1.29456 + 7.83097i −0.163099 + 0.986610i
\(64\) −1.00000 −0.125000
\(65\) 2.04866 + 4.60968i 0.254105 + 0.571760i
\(66\) 1.87613 1.13373i 0.230935 0.139552i
\(67\) −0.624480 −0.0762924 −0.0381462 0.999272i \(-0.512145\pi\)
−0.0381462 + 0.999272i \(0.512145\pi\)
\(68\) −3.43402 + 5.94790i −0.416437 + 0.721289i
\(69\) −2.25479 3.73129i −0.271444 0.449194i
\(70\) −2.46122 + 2.76481i −0.294172 + 0.330458i
\(71\) 3.78894 + 2.18755i 0.449665 + 0.259614i 0.707689 0.706524i \(-0.249738\pi\)
−0.258024 + 0.966139i \(0.583071\pi\)
\(72\) 2.53611 1.60255i 0.298883 0.188862i
\(73\) −7.24349 4.18203i −0.847786 0.489470i 0.0121171 0.999927i \(-0.496143\pi\)
−0.859903 + 0.510457i \(0.829476\pi\)
\(74\) −5.98766 + 3.45697i −0.696051 + 0.401865i
\(75\) −4.51037 + 2.72558i −0.520813 + 0.314723i
\(76\) −3.99411 + 2.30600i −0.458156 + 0.264517i
\(77\) 2.22641 2.50104i 0.253723 0.285020i
\(78\) −2.64970 5.65501i −0.300020 0.640303i
\(79\) 7.13902 + 12.3651i 0.803203 + 1.39119i 0.917498 + 0.397741i \(0.130206\pi\)
−0.114295 + 0.993447i \(0.536461\pi\)
\(80\) 1.39907 0.156421
\(81\) −3.86369 + 8.12846i −0.429298 + 0.903163i
\(82\) 6.45183i 0.712485i
\(83\) 3.52068 0.386444 0.193222 0.981155i \(-0.438106\pi\)
0.193222 + 0.981155i \(0.438106\pi\)
\(84\) 2.97803 3.48301i 0.324930 0.380027i
\(85\) 4.80444 8.32154i 0.521115 0.902597i
\(86\) −10.5377 + 6.08396i −1.13631 + 0.656051i
\(87\) −9.10312 + 0.181820i −0.975957 + 0.0194932i
\(88\) −1.26560 −0.134913
\(89\) 7.94368 13.7588i 0.842028 1.45844i −0.0461496 0.998935i \(-0.514695\pi\)
0.888177 0.459501i \(-0.151972\pi\)
\(90\) −3.54819 + 2.24208i −0.374012 + 0.236336i
\(91\) −6.41845 7.05716i −0.672836 0.739792i
\(92\) 2.51705i 0.262420i
\(93\) −4.56452 7.55351i −0.473319 0.783262i
\(94\) 3.16829i 0.326784i
\(95\) 5.58804 3.22626i 0.573321 0.331007i
\(96\) −1.73171 + 0.0345880i −0.176741 + 0.00353012i
\(97\) −2.18746 1.26293i −0.222102 0.128231i 0.384821 0.922991i \(-0.374263\pi\)
−0.606923 + 0.794760i \(0.707597\pi\)
\(98\) 2.77449 6.42668i 0.280266 0.649193i
\(99\) 3.20969 2.02818i 0.322586 0.203839i
\(100\) 3.04260 0.304260
\(101\) 8.43460 0.839274 0.419637 0.907692i \(-0.362157\pi\)
0.419637 + 0.907692i \(0.362157\pi\)
\(102\) −5.74099 + 10.4188i −0.568443 + 1.03161i
\(103\) −10.2521 + 5.91907i −1.01017 + 0.583224i −0.911242 0.411871i \(-0.864876\pi\)
−0.0989308 + 0.995094i \(0.531542\pi\)
\(104\) −0.379286 + 3.58555i −0.0371920 + 0.351592i
\(105\) −4.16648 + 4.87297i −0.406606 + 0.475553i
\(106\) −0.256405 0.444106i −0.0249042 0.0431354i
\(107\) 1.80672 + 1.04311i 0.174663 + 0.100841i 0.584783 0.811190i \(-0.301180\pi\)
−0.410120 + 0.912032i \(0.634513\pi\)
\(108\) 4.33636 2.86286i 0.417267 0.275479i
\(109\) −7.90043 + 13.6840i −0.756724 + 1.31068i 0.187788 + 0.982210i \(0.439868\pi\)
−0.944513 + 0.328475i \(0.893465\pi\)
\(110\) 1.77066 0.168826
\(111\) −10.2493 + 6.19356i −0.972819 + 0.587867i
\(112\) −2.51159 + 0.831830i −0.237322 + 0.0786005i
\(113\) −10.6760 6.16378i −1.00431 0.579840i −0.0947910 0.995497i \(-0.530218\pi\)
−0.909521 + 0.415657i \(0.863552\pi\)
\(114\) −6.83687 + 4.13146i −0.640331 + 0.386947i
\(115\) 3.52152i 0.328384i
\(116\) 4.55247 + 2.62837i 0.422686 + 0.244038i
\(117\) −4.78410 9.70116i −0.442290 0.896872i
\(118\) 14.3744i 1.32327i
\(119\) −3.67720 + 17.7952i −0.337088 + 1.63128i
\(120\) 2.42278 0.0483911i 0.221168 0.00441748i
\(121\) 9.39827 0.854388
\(122\) 1.53727 2.66263i 0.139178 0.241063i
\(123\) 0.223156 + 11.1727i 0.0201213 + 1.00741i
\(124\) 5.09543i 0.457583i
\(125\) −11.2522 −1.00642
\(126\) 5.03660 6.13454i 0.448696 0.546509i
\(127\) 4.41803 + 7.65224i 0.392036 + 0.679027i 0.992718 0.120461i \(-0.0384374\pi\)
−0.600682 + 0.799488i \(0.705104\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −18.0378 + 10.9001i −1.58814 + 0.959701i
\(130\) 0.530647 5.01643i 0.0465408 0.439970i
\(131\) 8.68707 + 15.0464i 0.758993 + 1.31461i 0.943365 + 0.331757i \(0.107642\pi\)
−0.184372 + 0.982857i \(0.559025\pi\)
\(132\) −2.19164 + 0.0437744i −0.190758 + 0.00381008i
\(133\) −8.11335 + 9.11414i −0.703517 + 0.790296i
\(134\) 0.540816 + 0.312240i 0.0467194 + 0.0269734i
\(135\) −6.06688 + 4.00534i −0.522154 + 0.344725i
\(136\) 5.94790 3.43402i 0.510029 0.294465i
\(137\) −6.13476 + 3.54190i −0.524128 + 0.302605i −0.738622 0.674120i \(-0.764523\pi\)
0.214494 + 0.976725i \(0.431190\pi\)
\(138\) 0.0870596 + 4.35878i 0.00741101 + 0.371044i
\(139\) 1.93885 + 1.11939i 0.164451 + 0.0949457i 0.579967 0.814640i \(-0.303066\pi\)
−0.415516 + 0.909586i \(0.636399\pi\)
\(140\) 3.51388 1.16379i 0.296977 0.0983581i
\(141\) −0.109585 5.48654i −0.00922870 0.462050i
\(142\) −2.18755 3.78894i −0.183575 0.317961i
\(143\) −0.480022 + 4.53785i −0.0401415 + 0.379474i
\(144\) −2.99761 + 0.119792i −0.249801 + 0.00998271i
\(145\) −6.36923 3.67727i −0.528935 0.305381i
\(146\) 4.18203 + 7.24349i 0.346107 + 0.599475i
\(147\) 4.58231 11.2251i 0.377943 0.925829i
\(148\) 6.91395 0.568323
\(149\) 9.99843i 0.819103i −0.912287 0.409552i \(-0.865685\pi\)
0.912287 0.409552i \(-0.134315\pi\)
\(150\) 5.26889 0.105238i 0.430203 0.00859261i
\(151\) 3.60495 6.24397i 0.293367 0.508127i −0.681237 0.732063i \(-0.738558\pi\)
0.974604 + 0.223937i \(0.0718909\pi\)
\(152\) 4.61200 0.374083
\(153\) −9.58134 + 18.2409i −0.774606 + 1.47469i
\(154\) −3.17865 + 1.05276i −0.256143 + 0.0848339i
\(155\) 7.12887i 0.572605i
\(156\) −0.532794 + 6.22223i −0.0426576 + 0.498177i
\(157\) −5.32283 3.07314i −0.424808 0.245263i 0.272324 0.962206i \(-0.412208\pi\)
−0.697132 + 0.716942i \(0.745541\pi\)
\(158\) 14.2780i 1.13590i
\(159\) −0.459378 0.760192i −0.0364310 0.0602871i
\(160\) −1.21163 0.699535i −0.0957878 0.0553031i
\(161\) 2.09375 + 6.32178i 0.165011 + 0.498226i
\(162\) 7.41028 5.10761i 0.582207 0.401292i
\(163\) −13.7896 −1.08009 −0.540044 0.841637i \(-0.681593\pi\)
−0.540044 + 0.841637i \(0.681593\pi\)
\(164\) 3.22591 5.58745i 0.251902 0.436306i
\(165\) 3.06626 0.0612435i 0.238708 0.00476780i
\(166\) −3.04900 1.76034i −0.236648 0.136629i
\(167\) −7.46828 12.9354i −0.577913 1.00097i −0.995718 0.0924384i \(-0.970534\pi\)
0.417805 0.908537i \(-0.362799\pi\)
\(168\) −4.32055 + 1.52735i −0.333338 + 0.117838i
\(169\) 12.7123 + 2.71989i 0.977868 + 0.209222i
\(170\) −8.32154 + 4.80444i −0.638233 + 0.368484i
\(171\) −11.6965 + 7.39095i −0.894457 + 0.565200i
\(172\) 12.1679 0.927796
\(173\) 5.48732 0.417193 0.208597 0.978002i \(-0.433110\pi\)
0.208597 + 0.978002i \(0.433110\pi\)
\(174\) 7.97445 + 4.39410i 0.604541 + 0.333116i
\(175\) 7.64175 2.53093i 0.577662 0.191320i
\(176\) 1.09604 + 0.632798i 0.0826170 + 0.0476989i
\(177\) −0.497181 24.8922i −0.0373704 1.87101i
\(178\) −13.7588 + 7.94368i −1.03127 + 0.595404i
\(179\) 6.22348i 0.465164i 0.972577 + 0.232582i \(0.0747175\pi\)
−0.972577 + 0.232582i \(0.925283\pi\)
\(180\) 4.19386 0.167598i 0.312592 0.0124920i
\(181\) 10.2706i 0.763407i −0.924285 0.381704i \(-0.875337\pi\)
0.924285 0.381704i \(-0.124663\pi\)
\(182\) 2.02996 + 9.32091i 0.150470 + 0.690911i
\(183\) 2.57000 4.66406i 0.189980 0.344777i
\(184\) 1.25852 2.17983i 0.0927795 0.160699i
\(185\) −9.67310 −0.711181
\(186\) 0.176241 + 8.82379i 0.0129226 + 0.646992i
\(187\) 7.52764 4.34609i 0.550476 0.317817i
\(188\) −1.58414 + 2.74382i −0.115536 + 0.200113i
\(189\) 8.50973 10.7974i 0.618992 0.785397i
\(190\) −6.45252 −0.468115
\(191\) 9.71283i 0.702796i 0.936226 + 0.351398i \(0.114294\pi\)
−0.936226 + 0.351398i \(0.885706\pi\)
\(192\) 1.51699 + 0.835899i 0.109480 + 0.0603258i
\(193\) 5.46485 0.393368 0.196684 0.980467i \(-0.436983\pi\)
0.196684 + 0.980467i \(0.436983\pi\)
\(194\) 1.26293 + 2.18746i 0.0906729 + 0.157050i
\(195\) 0.745416 8.70534i 0.0533804 0.623402i
\(196\) −5.61612 + 4.17842i −0.401151 + 0.298459i
\(197\) −22.5837 + 13.0387i −1.60902 + 0.928971i −0.619435 + 0.785048i \(0.712638\pi\)
−0.989589 + 0.143923i \(0.954028\pi\)
\(198\) −3.79376 + 0.151609i −0.269611 + 0.0107744i
\(199\) 11.8705 6.85344i 0.841478 0.485828i −0.0162883 0.999867i \(-0.505185\pi\)
0.857766 + 0.514040i \(0.171852\pi\)
\(200\) −2.63497 1.52130i −0.186321 0.107572i
\(201\) 0.947333 + 0.522002i 0.0668197 + 0.0368192i
\(202\) −7.30458 4.21730i −0.513948 0.296728i
\(203\) 13.6203 + 2.81449i 0.955956 + 0.197539i
\(204\) 10.1812 6.15244i 0.712830 0.430757i
\(205\) −4.51328 + 7.81723i −0.315221 + 0.545979i
\(206\) 11.8381 0.824803
\(207\) 0.301523 + 7.54512i 0.0209573 + 0.524422i
\(208\) 2.12124 2.91553i 0.147082 0.202156i
\(209\) 5.83693 0.403749
\(210\) 6.04476 2.13688i 0.417128 0.147459i
\(211\) 6.43745 + 11.1500i 0.443172 + 0.767597i 0.997923 0.0644199i \(-0.0205197\pi\)
−0.554751 + 0.832017i \(0.687186\pi\)
\(212\) 0.512809i 0.0352199i
\(213\) −3.91924 6.48567i −0.268542 0.444391i
\(214\) −1.04311 1.80672i −0.0713057 0.123505i
\(215\) −17.0238 −1.16101
\(216\) −5.18683 + 0.311127i −0.352919 + 0.0211695i
\(217\) 4.23853 + 12.7976i 0.287730 + 0.868759i
\(218\) 13.6840 7.90043i 0.926794 0.535085i
\(219\) 7.49258 + 12.3989i 0.506302 + 0.837843i
\(220\) −1.53343 0.885329i −0.103384 0.0596889i
\(221\) −10.0569 22.6290i −0.676500 1.52219i
\(222\) 11.9729 0.239140i 0.803570 0.0160500i
\(223\) 17.8707 10.3176i 1.19671 0.690919i 0.236888 0.971537i \(-0.423873\pi\)
0.959820 + 0.280618i \(0.0905393\pi\)
\(224\) 2.59101 + 0.535407i 0.173119 + 0.0357734i
\(225\) 9.12053 0.364481i 0.608035 0.0242987i
\(226\) 6.16378 + 10.6760i 0.410009 + 0.710156i
\(227\) −9.10254 15.7661i −0.604157 1.04643i −0.992184 0.124783i \(-0.960177\pi\)
0.388027 0.921648i \(-0.373157\pi\)
\(228\) 7.98663 0.159520i 0.528928 0.0105645i
\(229\) −16.0335 + 9.25697i −1.05953 + 0.611717i −0.925301 0.379233i \(-0.876188\pi\)
−0.134225 + 0.990951i \(0.542854\pi\)
\(230\) −1.76076 + 3.04973i −0.116101 + 0.201093i
\(231\) −5.46808 + 1.93301i −0.359773 + 0.127183i
\(232\) −2.62837 4.55247i −0.172561 0.298884i
\(233\) 9.27681 5.35597i 0.607744 0.350881i −0.164338 0.986404i \(-0.552549\pi\)
0.772082 + 0.635523i \(0.219215\pi\)
\(234\) −0.707428 + 10.7935i −0.0462460 + 0.705593i
\(235\) 2.21633 3.83879i 0.144577 0.250415i
\(236\) −7.18719 + 12.4486i −0.467847 + 0.810334i
\(237\) −0.493849 24.7254i −0.0320789 1.60608i
\(238\) 12.0821 13.5725i 0.783169 0.879774i
\(239\) 3.88709i 0.251435i −0.992066 0.125718i \(-0.959877\pi\)
0.992066 0.125718i \(-0.0401233\pi\)
\(240\) −2.12238 1.16948i −0.136999 0.0754897i
\(241\) −5.35649 + 3.09257i −0.345042 + 0.199210i −0.662499 0.749063i \(-0.730504\pi\)
0.317458 + 0.948272i \(0.397171\pi\)
\(242\) −8.13914 4.69913i −0.523204 0.302072i
\(243\) 12.6558 9.10119i 0.811868 0.583842i
\(244\) −2.66263 + 1.53727i −0.170457 + 0.0984136i
\(245\) 7.85734 5.84591i 0.501987 0.373481i
\(246\) 5.39307 9.78739i 0.343850 0.624021i
\(247\) 1.74927 16.5366i 0.111303 1.05220i
\(248\) 2.54772 4.41277i 0.161780 0.280211i
\(249\) −5.34085 2.94293i −0.338463 0.186501i
\(250\) 9.74466 + 5.62608i 0.616307 + 0.355825i
\(251\) −0.889061 + 1.53990i −0.0561171 + 0.0971976i −0.892719 0.450613i \(-0.851205\pi\)
0.836602 + 0.547811i \(0.184539\pi\)
\(252\) −7.42910 + 2.79437i −0.467989 + 0.176029i
\(253\) 1.59278 2.75878i 0.100137 0.173443i
\(254\) 8.83605i 0.554423i
\(255\) −14.2443 + 8.60770i −0.892011 + 0.539035i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 6.01246 10.4139i 0.375047 0.649600i −0.615287 0.788303i \(-0.710960\pi\)
0.990334 + 0.138703i \(0.0442933\pi\)
\(258\) 21.0713 0.420864i 1.31184 0.0262019i
\(259\) 17.3650 5.75123i 1.07901 0.357364i
\(260\) −2.96777 + 4.07903i −0.184053 + 0.252971i
\(261\) 13.9614 + 7.33347i 0.864188 + 0.453930i
\(262\) 17.3741i 1.07338i
\(263\) 1.89489i 0.116844i −0.998292 0.0584219i \(-0.981393\pi\)
0.998292 0.0584219i \(-0.0186069\pi\)
\(264\) 1.91990 + 1.05791i 0.118162 + 0.0651099i
\(265\) 0.717456i 0.0440730i
\(266\) 11.5834 3.83640i 0.710226 0.235225i
\(267\) −23.5515 + 14.2320i −1.44133 + 0.870984i
\(268\) −0.312240 0.540816i −0.0190731 0.0330356i
\(269\) −12.4864 21.6270i −0.761306 1.31862i −0.942177 0.335115i \(-0.891225\pi\)
0.180871 0.983507i \(-0.442108\pi\)
\(270\) 7.25674 0.435288i 0.441631 0.0264908i
\(271\) 6.91993 + 3.99522i 0.420356 + 0.242693i 0.695230 0.718788i \(-0.255303\pi\)
−0.274874 + 0.961480i \(0.588636\pi\)
\(272\) −6.86805 −0.416437
\(273\) 3.83768 + 16.0709i 0.232267 + 0.972652i
\(274\) 7.08381 0.427948
\(275\) −3.33481 1.92535i −0.201097 0.116103i
\(276\) 2.10400 3.81835i 0.126646 0.229837i
\(277\) 8.28352 + 14.3475i 0.497708 + 0.862056i 0.999997 0.00264429i \(-0.000841705\pi\)
−0.502288 + 0.864700i \(0.667508\pi\)
\(278\) −1.11939 1.93885i −0.0671367 0.116284i
\(279\) 0.610395 + 15.2741i 0.0365434 + 0.914437i
\(280\) −3.62501 0.749072i −0.216636 0.0447656i
\(281\) 1.18198i 0.0705110i −0.999378 0.0352555i \(-0.988776\pi\)
0.999378 0.0352555i \(-0.0112245\pi\)
\(282\) −2.64837 + 4.80628i −0.157708 + 0.286210i
\(283\) 32.8544i 1.95299i 0.215542 + 0.976495i \(0.430848\pi\)
−0.215542 + 0.976495i \(0.569152\pi\)
\(284\) 4.37510i 0.259614i
\(285\) −11.1739 + 0.223180i −0.661882 + 0.0132200i
\(286\) 2.68464 3.68989i 0.158746 0.218187i
\(287\) 3.45435 16.7168i 0.203904 0.986759i
\(288\) 2.65590 + 1.39506i 0.156500 + 0.0822047i
\(289\) −15.0850 + 26.1281i −0.887356 + 1.53695i
\(290\) 3.67727 + 6.36923i 0.215937 + 0.374014i
\(291\) 2.26268 + 3.74435i 0.132641 + 0.219497i
\(292\) 8.36406i 0.489470i
\(293\) −2.82022 + 4.88477i −0.164759 + 0.285371i −0.936570 0.350481i \(-0.886018\pi\)
0.771811 + 0.635852i \(0.219351\pi\)
\(294\) −9.58094 + 7.43005i −0.558772 + 0.433329i
\(295\) 10.0554 17.4164i 0.585447 1.01402i
\(296\) −5.98766 3.45697i −0.348025 0.200933i
\(297\) −6.56443 + 0.393761i −0.380907 + 0.0228483i
\(298\) −4.99921 + 8.65889i −0.289597 + 0.501596i
\(299\) −7.33853 5.33927i −0.424398 0.308778i
\(300\) −4.61561 2.54331i −0.266482 0.146838i
\(301\) 30.5608 10.1216i 1.76149 0.583402i
\(302\) −6.24397 + 3.60495i −0.359300 + 0.207442i
\(303\) −12.7952 7.05047i −0.735068 0.405039i
\(304\) −3.99411 2.30600i −0.229078 0.132258i
\(305\) 3.72520 2.15075i 0.213305 0.123151i
\(306\) 17.4181 11.0064i 0.995727 0.629192i
\(307\) 25.4559i 1.45284i −0.687249 0.726422i \(-0.741182\pi\)
0.687249 0.726422i \(-0.258818\pi\)
\(308\) 3.27917 + 0.677609i 0.186848 + 0.0386103i
\(309\) 20.5002 0.409458i 1.16621 0.0232933i
\(310\) −3.56443 + 6.17378i −0.202446 + 0.350647i
\(311\) −7.30444 + 12.6517i −0.414197 + 0.717410i −0.995344 0.0963890i \(-0.969271\pi\)
0.581147 + 0.813798i \(0.302604\pi\)
\(312\) 3.57253 5.12221i 0.202255 0.289988i
\(313\) −9.58723 + 5.53519i −0.541902 + 0.312868i −0.745850 0.666114i \(-0.767956\pi\)
0.203947 + 0.978982i \(0.434623\pi\)
\(314\) 3.07314 + 5.32283i 0.173427 + 0.300385i
\(315\) 10.3938 3.90952i 0.585626 0.220276i
\(316\) −7.13902 + 12.3651i −0.401601 + 0.695594i
\(317\) 13.3841 7.72732i 0.751727 0.434010i −0.0745906 0.997214i \(-0.523765\pi\)
0.826318 + 0.563205i \(0.190432\pi\)
\(318\) 0.0177370 + 0.888034i 0.000994644 + 0.0497985i
\(319\) −3.32645 5.76159i −0.186246 0.322587i
\(320\) 0.699535 + 1.21163i 0.0391052 + 0.0677322i
\(321\) −1.86885 3.09263i −0.104309 0.172614i
\(322\) 1.34764 6.52169i 0.0751012 0.363440i
\(323\) −27.4318 + 15.8377i −1.52634 + 0.881235i
\(324\) −8.97130 + 0.718182i −0.498406 + 0.0398990i
\(325\) −6.45410 + 8.87080i −0.358009 + 0.492064i
\(326\) 11.9422 + 6.89482i 0.661417 + 0.381869i
\(327\) 23.4233 14.1545i 1.29531 0.782747i
\(328\) −5.58745 + 3.22591i −0.308515 + 0.178121i
\(329\) −1.69632 + 8.20907i −0.0935213 + 0.452581i
\(330\) −2.68608 1.48009i −0.147864 0.0814763i
\(331\) −0.993316 −0.0545976 −0.0272988 0.999627i \(-0.508691\pi\)
−0.0272988 + 0.999627i \(0.508691\pi\)
\(332\) 1.76034 + 3.04900i 0.0966111 + 0.167335i
\(333\) 20.7253 0.828239i 1.13574 0.0453872i
\(334\) 14.9366i 0.817293i
\(335\) 0.436846 + 0.756639i 0.0238674 + 0.0413396i
\(336\) 4.50539 + 0.837549i 0.245789 + 0.0456920i
\(337\) 16.8178 0.916123 0.458061 0.888921i \(-0.348544\pi\)
0.458061 + 0.888921i \(0.348544\pi\)
\(338\) −9.64922 8.71164i −0.524848 0.473851i
\(339\) 11.0431 + 18.2745i 0.599780 + 0.992533i
\(340\) 9.60888 0.521115
\(341\) 3.22438 5.58479i 0.174610 0.302433i
\(342\) 13.8250 0.552483i 0.747569 0.0298749i
\(343\) −10.6296 + 15.1661i −0.573946 + 0.818893i
\(344\) −10.5377 6.08396i −0.568157 0.328025i
\(345\) −2.94364 + 5.34213i −0.158480 + 0.287611i
\(346\) −4.75216 2.74366i −0.255478 0.147500i
\(347\) −7.63572 + 4.40848i −0.409907 + 0.236660i −0.690750 0.723094i \(-0.742719\pi\)
0.280843 + 0.959754i \(0.409386\pi\)
\(348\) −4.70902 7.79263i −0.252430 0.417729i
\(349\) −11.1058 + 6.41193i −0.594479 + 0.343223i −0.766866 0.641807i \(-0.778185\pi\)
0.172388 + 0.985029i \(0.444852\pi\)
\(350\) −7.88342 1.62903i −0.421386 0.0870753i
\(351\) −0.851731 + 18.7156i −0.0454620 + 0.998966i
\(352\) −0.632798 1.09604i −0.0337282 0.0584190i
\(353\) 34.4686 1.83458 0.917289 0.398222i \(-0.130373\pi\)
0.917289 + 0.398222i \(0.130373\pi\)
\(354\) −12.0155 + 21.8059i −0.638618 + 1.15897i
\(355\) 6.12107i 0.324872i
\(356\) 15.8874 0.842028
\(357\) 20.4533 23.9214i 1.08250 1.26606i
\(358\) 3.11174 5.38969i 0.164460 0.284854i
\(359\) −24.1704 + 13.9548i −1.27567 + 0.736506i −0.976048 0.217554i \(-0.930192\pi\)
−0.299617 + 0.954060i \(0.596859\pi\)
\(360\) −3.71579 1.95179i −0.195839 0.102868i
\(361\) −2.27057 −0.119504
\(362\) −5.13530 + 8.89460i −0.269905 + 0.467490i
\(363\) −14.2571 7.85600i −0.748305 0.412333i
\(364\) 2.90246 9.08712i 0.152130 0.476294i
\(365\) 11.7019i 0.612506i
\(366\) −4.55772 + 2.75419i −0.238236 + 0.143964i
\(367\) 3.39933i 0.177444i −0.996056 0.0887219i \(-0.971722\pi\)
0.996056 0.0887219i \(-0.0282782\pi\)
\(368\) −2.17983 + 1.25852i −0.113631 + 0.0656050i
\(369\) 9.00069 17.1354i 0.468557 0.892034i
\(370\) 8.37715 + 4.83655i 0.435507 + 0.251440i
\(371\) 0.426570 + 1.28796i 0.0221464 + 0.0668677i
\(372\) 4.25927 7.72975i 0.220833 0.400769i
\(373\) 8.44346 0.437186 0.218593 0.975816i \(-0.429853\pi\)
0.218593 + 0.975816i \(0.429853\pi\)
\(374\) −8.69218 −0.449462
\(375\) 17.0695 + 9.40567i 0.881464 + 0.485707i
\(376\) 2.74382 1.58414i 0.141502 0.0816960i
\(377\) −17.3200 + 7.69746i −0.892025 + 0.396439i
\(378\) −12.7684 + 5.09598i −0.656734 + 0.262109i
\(379\) −12.2942 21.2942i −0.631512 1.09381i −0.987243 0.159223i \(-0.949101\pi\)
0.355730 0.934589i \(-0.384232\pi\)
\(380\) 5.58804 + 3.22626i 0.286661 + 0.165504i
\(381\) −0.305621 15.3014i −0.0156575 0.783916i
\(382\) 4.85641 8.41156i 0.248476 0.430373i
\(383\) −24.6588 −1.26001 −0.630003 0.776592i \(-0.716947\pi\)
−0.630003 + 0.776592i \(0.716947\pi\)
\(384\) −0.895807 1.48241i −0.0457139 0.0756488i
\(385\) −4.58779 0.948022i −0.233816 0.0483157i
\(386\) −4.73270 2.73242i −0.240888 0.139077i
\(387\) 36.4747 1.45763i 1.85411 0.0740953i
\(388\) 2.52586i 0.128231i
\(389\) 3.13636 + 1.81078i 0.159020 + 0.0918101i 0.577398 0.816463i \(-0.304068\pi\)
−0.418378 + 0.908273i \(0.637401\pi\)
\(390\) −4.99822 + 7.16633i −0.253095 + 0.362881i
\(391\) 17.2872i 0.874251i
\(392\) 6.95291 0.810561i 0.351175 0.0409395i
\(393\) −0.600937 30.0869i −0.0303132 1.51768i
\(394\) 26.0774 1.31376
\(395\) 9.98799 17.2997i 0.502550 0.870443i
\(396\) 3.36130 + 1.76558i 0.168912 + 0.0887239i
\(397\) 14.0275i 0.704018i 0.935997 + 0.352009i \(0.114501\pi\)
−0.935997 + 0.352009i \(0.885499\pi\)
\(398\) −13.7069 −0.687064
\(399\) 19.9264 7.04417i 0.997568 0.352649i
\(400\) 1.52130 + 2.63497i 0.0760651 + 0.131749i
\(401\) −27.6911 15.9875i −1.38283 0.798376i −0.390335 0.920673i \(-0.627641\pi\)
−0.992494 + 0.122296i \(0.960974\pi\)
\(402\) −0.559414 0.925734i −0.0279010 0.0461714i
\(403\) −14.8559 10.8087i −0.740025 0.538418i
\(404\) 4.21730 + 7.30458i 0.209819 + 0.363416i
\(405\) 12.5515 1.00479i 0.623688 0.0499282i
\(406\) −10.3883 9.24756i −0.515560 0.458949i
\(407\) −7.57795 4.37513i −0.375625 0.216867i
\(408\) −11.8934 + 0.237552i −0.588813 + 0.0117606i
\(409\) −0.481903 + 0.278227i −0.0238286 + 0.0137574i −0.511867 0.859065i \(-0.671046\pi\)
0.488038 + 0.872822i \(0.337713\pi\)
\(410\) 7.81723 4.51328i 0.386066 0.222895i
\(411\) 12.2671 0.245015i 0.605090 0.0120857i
\(412\) −10.2521 5.91907i −0.505087 0.291612i
\(413\) −7.69615 + 37.2442i −0.378703 + 1.83267i
\(414\) 3.51143 6.68502i 0.172577 0.328551i
\(415\) −2.46284 4.26576i −0.120896 0.209398i
\(416\) −3.29482 + 1.46430i −0.161542 + 0.0717933i
\(417\) −2.00552 3.31879i −0.0982107 0.162522i
\(418\) −5.05493 2.91847i −0.247245 0.142747i
\(419\) −7.69809 13.3335i −0.376076 0.651383i 0.614411 0.788986i \(-0.289394\pi\)
−0.990488 + 0.137603i \(0.956060\pi\)
\(420\) −6.30335 1.17179i −0.307572 0.0571775i
\(421\) 5.44197 0.265225 0.132613 0.991168i \(-0.457663\pi\)
0.132613 + 0.991168i \(0.457663\pi\)
\(422\) 12.8749i 0.626740i
\(423\) −4.41995 + 8.41465i −0.214905 + 0.409135i
\(424\) 0.256405 0.444106i 0.0124521 0.0215677i
\(425\) 20.8967 1.01364
\(426\) 0.151326 + 7.57638i 0.00733176 + 0.367077i
\(427\) −5.40867 + 6.07584i −0.261744 + 0.294030i
\(428\) 2.08622i 0.100841i
\(429\) 4.52138 6.48265i 0.218294 0.312985i
\(430\) 14.7430 + 8.51189i 0.710972 + 0.410480i
\(431\) 22.8528i 1.10078i −0.834907 0.550391i \(-0.814479\pi\)
0.834907 0.550391i \(-0.185521\pi\)
\(432\) 4.64749 + 2.32397i 0.223602 + 0.111812i
\(433\) −6.71928 3.87938i −0.322908 0.186431i 0.329780 0.944058i \(-0.393025\pi\)
−0.652688 + 0.757627i \(0.726359\pi\)
\(434\) 2.72813 13.2023i 0.130954 0.633732i
\(435\) 6.58825 + 10.9024i 0.315883 + 0.522732i
\(436\) −15.8009 −0.756724
\(437\) −5.80431 + 10.0534i −0.277658 + 0.480918i
\(438\) −0.289296 14.4841i −0.0138231 0.692077i
\(439\) −36.0776 20.8294i −1.72189 0.994134i −0.915025 0.403398i \(-0.867829\pi\)
−0.806865 0.590736i \(-0.798838\pi\)
\(440\) 0.885329 + 1.53343i 0.0422064 + 0.0731036i
\(441\) −16.3344 + 13.1980i −0.777827 + 0.628478i
\(442\) −2.60495 + 24.6257i −0.123905 + 1.17133i
\(443\) 22.4612 12.9680i 1.06716 0.616127i 0.139758 0.990186i \(-0.455368\pi\)
0.927405 + 0.374059i \(0.122034\pi\)
\(444\) −10.4884 5.77936i −0.497759 0.274276i
\(445\) −22.2275 −1.05369
\(446\) −20.6353 −0.977108
\(447\) −8.35767 + 15.1676i −0.395304 + 0.717401i
\(448\) −1.97618 1.75918i −0.0933656 0.0831135i
\(449\) −5.20037 3.00244i −0.245421 0.141694i 0.372245 0.928135i \(-0.378588\pi\)
−0.617666 + 0.786441i \(0.711921\pi\)
\(450\) −8.08085 4.24461i −0.380935 0.200093i
\(451\) −7.07145 + 4.08270i −0.332982 + 0.192247i
\(452\) 12.3276i 0.579840i
\(453\) −10.6880 + 6.45869i −0.502167 + 0.303456i
\(454\) 18.2051i 0.854407i
\(455\) −4.06074 + 12.7135i −0.190371 + 0.596019i
\(456\) −6.99639 3.85517i −0.327636 0.180535i
\(457\) 14.8245 25.6767i 0.693460 1.20111i −0.277237 0.960801i \(-0.589419\pi\)
0.970697 0.240306i \(-0.0772478\pi\)
\(458\) 18.5139 0.865099
\(459\) 29.7824 19.6622i 1.39012 0.917755i
\(460\) 3.04973 1.76076i 0.142194 0.0820960i
\(461\) 3.80284 6.58672i 0.177116 0.306774i −0.763775 0.645482i \(-0.776657\pi\)
0.940892 + 0.338708i \(0.109990\pi\)
\(462\) 5.70200 + 1.06000i 0.265281 + 0.0493156i
\(463\) −13.7605 −0.639506 −0.319753 0.947501i \(-0.603600\pi\)
−0.319753 + 0.947501i \(0.603600\pi\)
\(464\) 5.25674i 0.244038i
\(465\) −5.95901 + 10.8145i −0.276343 + 0.501509i
\(466\) −10.7119 −0.496221
\(467\) 8.10576 + 14.0396i 0.375090 + 0.649675i 0.990341 0.138657i \(-0.0442785\pi\)
−0.615250 + 0.788332i \(0.710945\pi\)
\(468\) 6.00940 8.99373i 0.277785 0.415735i
\(469\) −1.23408 1.09857i −0.0569847 0.0507274i
\(470\) −3.83879 + 2.21633i −0.177070 + 0.102232i
\(471\) 5.50588 + 9.11128i 0.253697 + 0.419826i
\(472\) 12.4486 7.18719i 0.572993 0.330817i
\(473\) −13.3365 7.69984i −0.613214 0.354039i
\(474\) −11.9350 + 21.6597i −0.548192 + 0.994864i
\(475\) 12.1525 + 7.01625i 0.557595 + 0.321927i
\(476\) −17.2497 + 5.71305i −0.790638 + 0.261857i
\(477\) 0.0614307 + 1.53720i 0.00281272 + 0.0703836i
\(478\) −1.94355 + 3.36632i −0.0888958 + 0.153972i
\(479\) 7.66898 0.350405 0.175202 0.984532i \(-0.443942\pi\)
0.175202 + 0.984532i \(0.443942\pi\)
\(480\) 1.25330 + 2.07399i 0.0572049 + 0.0946643i
\(481\) −14.6662 + 20.1578i −0.668720 + 0.919118i
\(482\) 6.18514 0.281725
\(483\) 2.10815 11.3403i 0.0959241 0.516000i
\(484\) 4.69913 + 8.13914i 0.213597 + 0.369961i
\(485\) 3.53385i 0.160464i
\(486\) −15.5108 + 1.55398i −0.703585 + 0.0704899i
\(487\) −0.626367 1.08490i −0.0283834 0.0491615i 0.851485 0.524379i \(-0.175703\pi\)
−0.879868 + 0.475218i \(0.842369\pi\)
\(488\) 3.07454 0.139178
\(489\) 20.9188 + 11.5267i 0.945982 + 0.521258i
\(490\) −9.72761 + 1.13403i −0.439449 + 0.0512303i
\(491\) −1.78584 + 1.03105i −0.0805938 + 0.0465308i −0.539755 0.841822i \(-0.681483\pi\)
0.459162 + 0.888353i \(0.348150\pi\)
\(492\) −9.56423 + 5.77959i −0.431189 + 0.260564i
\(493\) 31.2666 + 18.0518i 1.40818 + 0.813011i
\(494\) −9.78318 + 13.4464i −0.440166 + 0.604984i
\(495\) −4.70269 2.47017i −0.211370 0.111026i
\(496\) −4.41277 + 2.54772i −0.198139 + 0.114396i
\(497\) 3.63933 + 10.9884i 0.163246 + 0.492898i
\(498\) 3.15385 + 5.21908i 0.141327 + 0.233872i
\(499\) −6.12234 10.6042i −0.274074 0.474710i 0.695827 0.718209i \(-0.255038\pi\)
−0.969901 + 0.243500i \(0.921705\pi\)
\(500\) −5.62608 9.74466i −0.251606 0.435795i
\(501\) 0.516626 + 25.8657i 0.0230812 + 1.15560i
\(502\) 1.53990 0.889061i 0.0687291 0.0396808i
\(503\) −19.8446 + 34.3719i −0.884828 + 1.53257i −0.0389171 + 0.999242i \(0.512391\pi\)
−0.845911 + 0.533324i \(0.820943\pi\)
\(504\) 7.83097 + 1.29456i 0.348819 + 0.0576641i
\(505\) −5.90030 10.2196i −0.262560 0.454767i
\(506\) −2.75878 + 1.59278i −0.122643 + 0.0708078i
\(507\) −17.0109 14.7522i −0.755481 0.655170i
\(508\) −4.41803 + 7.65224i −0.196018 + 0.339513i
\(509\) −11.4006 + 19.7465i −0.505325 + 0.875248i 0.494657 + 0.869089i \(0.335294\pi\)
−0.999981 + 0.00615918i \(0.998039\pi\)
\(510\) 16.6398 0.332352i 0.736821 0.0147168i
\(511\) −6.95747 21.0070i −0.307781 0.929297i
\(512\) 1.00000i 0.0441942i
\(513\) 23.9217 1.43492i 1.05617 0.0633531i
\(514\) −10.4139 + 6.01246i −0.459337 + 0.265198i
\(515\) 14.3435 + 8.28120i 0.632048 + 0.364913i
\(516\) −18.4587 10.1712i −0.812598 0.447760i
\(517\) 3.47256 2.00489i 0.152723 0.0881748i
\(518\) −17.9141 3.70178i −0.787101 0.162647i
\(519\) −8.32424 4.58684i −0.365393 0.201340i
\(520\) 4.60968 2.04866i 0.202148 0.0898398i
\(521\) −1.95101 + 3.37925i −0.0854752 + 0.148047i −0.905594 0.424146i \(-0.860574\pi\)
0.820118 + 0.572194i \(0.193908\pi\)
\(522\) −8.42417 13.3317i −0.368716 0.583511i
\(523\) −6.73834 3.89038i −0.294647 0.170115i 0.345389 0.938460i \(-0.387747\pi\)
−0.640036 + 0.768345i \(0.721080\pi\)
\(524\) −8.68707 + 15.0464i −0.379496 + 0.657307i
\(525\) −13.7081 2.54833i −0.598271 0.111218i
\(526\) −0.947444 + 1.64102i −0.0413105 + 0.0715520i
\(527\) 34.9957i 1.52444i
\(528\) −1.13373 1.87613i −0.0493392 0.0816480i
\(529\) −8.33224 14.4319i −0.362271 0.627472i
\(530\) −0.358728 + 0.621335i −0.0155821 + 0.0269891i
\(531\) −20.0531 + 38.1769i −0.870232 + 1.65674i
\(532\) −11.9498 2.46930i −0.518087 0.107058i
\(533\) 9.44743 + 21.2576i 0.409213 + 0.920769i
\(534\) 27.5122 0.549512i 1.19057 0.0237797i
\(535\) 2.91877i 0.126190i
\(536\) 0.624480i 0.0269734i
\(537\) 5.20219 9.44098i 0.224491 0.407408i
\(538\) 24.9727i 1.07665i
\(539\) 8.79958 1.02584i 0.379025 0.0441862i
\(540\) −6.50216 3.25140i −0.279809 0.139918i
\(541\) −2.23765 3.87573i −0.0962042 0.166631i 0.813906 0.580996i \(-0.197337\pi\)
−0.910111 + 0.414366i \(0.864004\pi\)
\(542\) −3.99522 6.91993i −0.171610 0.297237i
\(543\) −8.58518 + 15.5804i −0.368425 + 0.668621i
\(544\) 5.94790 + 3.43402i 0.255014 + 0.147233i
\(545\) 22.1065 0.946939
\(546\) 4.71190 15.8366i 0.201651 0.677744i
\(547\) −35.3736 −1.51246 −0.756232 0.654304i \(-0.772962\pi\)
−0.756232 + 0.654304i \(0.772962\pi\)
\(548\) −6.13476 3.54190i −0.262064 0.151303i
\(549\) −7.79736 + 4.92709i −0.332783 + 0.210283i
\(550\) 1.92535 + 3.33481i 0.0820973 + 0.142197i
\(551\) 12.1221 + 20.9960i 0.516417 + 0.894460i
\(552\) −3.73129 + 2.25479i −0.158814 + 0.0959701i
\(553\) −7.64456 + 36.9946i −0.325080 + 1.57317i
\(554\) 16.5670i 0.703866i
\(555\) 14.6740 + 8.08573i 0.622879 + 0.343220i
\(556\) 2.23879i 0.0949457i
\(557\) 20.8010i 0.881368i −0.897662 0.440684i \(-0.854736\pi\)
0.897662 0.440684i \(-0.145264\pi\)
\(558\) 7.10844 13.5330i 0.300924 0.572896i
\(559\) −25.8111 + 35.4760i −1.09170 + 1.50047i
\(560\) 2.76481 + 2.46122i 0.116835 + 0.104005i
\(561\) −15.0523 + 0.300645i −0.635508 + 0.0126932i
\(562\) −0.590990 + 1.02362i −0.0249294 + 0.0431790i
\(563\) −12.0960 20.9508i −0.509784 0.882972i −0.999936 0.0113351i \(-0.996392\pi\)
0.490151 0.871637i \(-0.336941\pi\)
\(564\) 4.69669 2.83817i 0.197766 0.119509i
\(565\) 17.2471i 0.725592i
\(566\) 16.4272 28.4527i 0.690486 1.19596i
\(567\) −21.9348 + 9.26637i −0.921174 + 0.389151i
\(568\) 2.18755 3.78894i 0.0917875 0.158981i
\(569\) 30.3762 + 17.5377i 1.27344 + 0.735219i 0.975633 0.219408i \(-0.0704125\pi\)
0.297804 + 0.954627i \(0.403746\pi\)
\(570\) 9.78843 + 5.39365i 0.409992 + 0.225915i
\(571\) 10.1633 17.6034i 0.425321 0.736678i −0.571129 0.820860i \(-0.693494\pi\)
0.996450 + 0.0841821i \(0.0268277\pi\)
\(572\) −4.16991 + 1.85322i −0.174353 + 0.0774868i
\(573\) 8.11894 14.7343i 0.339174 0.615535i
\(574\) −11.3499 + 12.7500i −0.473737 + 0.532173i
\(575\) 6.63234 3.82919i 0.276588 0.159688i
\(576\) −1.60255 2.53611i −0.0667728 0.105671i
\(577\) −12.8575 7.42329i −0.535266 0.309036i 0.207892 0.978152i \(-0.433340\pi\)
−0.743158 + 0.669116i \(0.766673\pi\)
\(578\) 26.1281 15.0850i 1.08678 0.627455i
\(579\) −8.29015 4.56806i −0.344527 0.189842i
\(580\) 7.35455i 0.305381i
\(581\) 6.95748 + 6.19351i 0.288645 + 0.256950i
\(582\) −0.0873643 4.37404i −0.00362137 0.181310i
\(583\) 0.324505 0.562058i 0.0134396 0.0232781i
\(584\) −4.18203 + 7.24349i −0.173054 + 0.299738i
\(585\) −8.40757 + 12.5829i −0.347610 + 0.520237i
\(586\) 4.88477 2.82022i 0.201788 0.116502i
\(587\) −10.5944 18.3500i −0.437276 0.757384i 0.560202 0.828356i \(-0.310723\pi\)
−0.997478 + 0.0709716i \(0.977390\pi\)
\(588\) 12.0124 1.64414i 0.495381 0.0678032i
\(589\) −11.7501 + 20.3517i −0.484154 + 0.838578i
\(590\) −17.4164 + 10.0554i −0.717024 + 0.413974i
\(591\) 45.1585 0.901967i 1.85757 0.0371020i
\(592\) 3.45697 + 5.98766i 0.142081 + 0.246091i
\(593\) −12.5747 21.7800i −0.516381 0.894397i −0.999819 0.0190190i \(-0.993946\pi\)
0.483439 0.875378i \(-0.339388\pi\)
\(594\) 5.88184 + 2.94121i 0.241335 + 0.120679i
\(595\) 24.1335 7.99295i 0.989378 0.327679i
\(596\) 8.65889 4.99921i 0.354682 0.204776i
\(597\) −23.7363 + 0.474094i −0.971461 + 0.0194034i
\(598\) 3.68572 + 8.29321i 0.150720 + 0.339134i
\(599\) −27.8317 16.0687i −1.13717 0.656547i −0.191444 0.981503i \(-0.561317\pi\)
−0.945729 + 0.324956i \(0.894650\pi\)
\(600\) 2.72558 + 4.51037i 0.111271 + 0.184135i
\(601\) 15.0678 8.69938i 0.614627 0.354855i −0.160147 0.987093i \(-0.551197\pi\)
0.774774 + 0.632238i \(0.217864\pi\)
\(602\) −31.5272 6.51479i −1.28495 0.265523i
\(603\) −1.00076 1.58375i −0.0407540 0.0644952i
\(604\) 7.20991 0.293367
\(605\) −6.57442 11.3872i −0.267288 0.462957i
\(606\) 7.55577 + 12.5035i 0.306932 + 0.507920i
\(607\) 29.3529i 1.19140i −0.803208 0.595698i \(-0.796875\pi\)
0.803208 0.595698i \(-0.203125\pi\)
\(608\) 2.30600 + 3.99411i 0.0935207 + 0.161983i
\(609\) −18.3093 15.6547i −0.741928 0.634362i
\(610\) −4.30150 −0.174162
\(611\) −4.63933 10.4389i −0.187687 0.422314i
\(612\) −20.5877 + 0.822741i −0.832209 + 0.0332573i
\(613\) −34.8285 −1.40671 −0.703355 0.710839i \(-0.748316\pi\)
−0.703355 + 0.710839i \(0.748316\pi\)
\(614\) −12.7279 + 22.0454i −0.513658 + 0.889682i
\(615\) 13.3810 8.08606i 0.539575 0.326061i
\(616\) −2.50104 2.22641i −0.100770 0.0897047i
\(617\) 15.1344 + 8.73785i 0.609288 + 0.351773i 0.772687 0.634787i \(-0.218912\pi\)
−0.163399 + 0.986560i \(0.552246\pi\)
\(618\) −17.9584 9.89549i −0.722393 0.398055i
\(619\) −20.5117 11.8425i −0.824436 0.475989i 0.0275075 0.999622i \(-0.491243\pi\)
−0.851944 + 0.523633i \(0.824576\pi\)
\(620\) 6.17378 3.56443i 0.247945 0.143151i
\(621\) 5.84954 11.6979i 0.234734 0.469422i
\(622\) 12.6517 7.30444i 0.507285 0.292881i
\(623\) 39.9024 13.2156i 1.59866 0.529471i
\(624\) −5.65501 + 2.64970i −0.226381 + 0.106073i
\(625\) 0.264780 + 0.458612i 0.0105912 + 0.0183445i
\(626\) 11.0704 0.442461
\(627\) −8.85460 4.87908i −0.353619 0.194852i
\(628\) 6.14628i 0.245263i
\(629\) 47.4853 1.89336
\(630\) −10.9561 1.81117i −0.436501 0.0721589i
\(631\) 3.58972 6.21757i 0.142904 0.247518i −0.785685 0.618627i \(-0.787689\pi\)
0.928589 + 0.371109i \(0.121023\pi\)
\(632\) 12.3651 7.13902i 0.491859 0.283975i
\(633\) −0.445317 22.2955i −0.0176998 0.886168i
\(634\) −15.4546 −0.613782
\(635\) 6.18113 10.7060i 0.245291 0.424856i
\(636\) 0.428656 0.777929i 0.0169973 0.0308469i
\(637\) −0.269164 25.2374i −0.0106647 0.999943i
\(638\) 6.65291i 0.263391i
\(639\) 0.524104 + 13.1148i 0.0207332 + 0.518814i
\(640\) 1.39907i 0.0553031i
\(641\) −24.6906 + 14.2551i −0.975221 + 0.563044i −0.900824 0.434185i \(-0.857036\pi\)
−0.0743968 + 0.997229i \(0.523703\pi\)
\(642\) 0.0721583 + 3.61273i 0.00284786 + 0.142583i
\(643\) 39.1207 + 22.5863i 1.54277 + 0.890718i 0.998663 + 0.0517020i \(0.0164646\pi\)
0.544106 + 0.839016i \(0.316869\pi\)
\(644\) −4.42794 + 4.97413i −0.174485 + 0.196008i
\(645\) 25.8250 + 14.2302i 1.01686 + 0.560312i
\(646\) 31.6755 1.24625
\(647\) −17.9381 −0.705220 −0.352610 0.935770i \(-0.614706\pi\)
−0.352610 + 0.935770i \(0.614706\pi\)
\(648\) 8.12846 + 3.86369i 0.319316 + 0.151780i
\(649\) 15.7549 9.09609i 0.618433 0.357053i
\(650\) 10.0248 4.45529i 0.393206 0.174751i
\(651\) 4.26767 22.9569i 0.167263 0.899752i
\(652\) −6.89482 11.9422i −0.270022 0.467692i
\(653\) −24.5311 14.1630i −0.959977 0.554243i −0.0638110 0.997962i \(-0.520325\pi\)
−0.896166 + 0.443719i \(0.853659\pi\)
\(654\) −27.3624 + 0.546520i −1.06996 + 0.0213706i
\(655\) 12.1538 21.0510i 0.474889 0.822532i
\(656\) 6.45183 0.251902
\(657\) −1.00195 25.0722i −0.0390899 0.978158i
\(658\) 5.57359 6.26110i 0.217281 0.244083i
\(659\) 33.6960 + 19.4544i 1.31261 + 0.757836i 0.982528 0.186116i \(-0.0595902\pi\)
0.330082 + 0.943952i \(0.392924\pi\)
\(660\) 1.58617 + 2.62484i 0.0617415 + 0.102172i
\(661\) 14.1995i 0.552296i −0.961115 0.276148i \(-0.910942\pi\)
0.961115 0.276148i \(-0.0890581\pi\)
\(662\) 0.860237 + 0.496658i 0.0334340 + 0.0193032i
\(663\) −3.65925 + 42.7346i −0.142114 + 1.65967i
\(664\) 3.52068i 0.136629i
\(665\) 16.7185 + 3.45472i 0.648317 + 0.133968i
\(666\) −18.3628 9.64538i −0.711543 0.373751i
\(667\) 13.2315 0.512324
\(668\) 7.46828 12.9354i 0.288957 0.500487i
\(669\) −35.7342 + 0.713732i −1.38156 + 0.0275945i
\(670\) 0.873692i 0.0337537i
\(671\) 3.89112 0.150215
\(672\) −3.48301 2.97803i −0.134360 0.114880i
\(673\) 10.7809 + 18.6731i 0.415574 + 0.719795i 0.995489 0.0948822i \(-0.0302475\pi\)
−0.579915 + 0.814677i \(0.696914\pi\)
\(674\) −14.5646 8.40889i −0.561008 0.323898i
\(675\) −14.1405 7.07092i −0.544267 0.272160i
\(676\) 4.00065 + 12.3691i 0.153871 + 0.475735i
\(677\) −20.3440 35.2368i −0.781883 1.35426i −0.930844 0.365418i \(-0.880926\pi\)
0.148960 0.988843i \(-0.452407\pi\)
\(678\) −0.426386 21.3477i −0.0163753 0.819854i
\(679\) −2.10108 6.34390i −0.0806321 0.243457i
\(680\) −8.32154 4.80444i −0.319116 0.184242i
\(681\) 0.629678 + 31.5258i 0.0241293 + 1.20807i
\(682\) −5.58479 + 3.22438i −0.213853 + 0.123468i
\(683\) 31.3548 18.1027i 1.19976 0.692681i 0.239258 0.970956i \(-0.423096\pi\)
0.960501 + 0.278275i \(0.0897626\pi\)
\(684\) −12.2490 6.43402i −0.468353 0.246011i
\(685\) 8.58296 + 4.95537i 0.327938 + 0.189335i
\(686\) 16.7886 7.81943i 0.640991 0.298547i
\(687\) 32.0607 0.640360i 1.22319 0.0244313i
\(688\) 6.08396 + 10.5377i 0.231949 + 0.401747i
\(689\) −1.49511 1.08779i −0.0569592 0.0414416i
\(690\) 5.22033 3.15461i 0.198735 0.120094i
\(691\) −7.19174 4.15215i −0.273587 0.157955i 0.356930 0.934131i \(-0.383824\pi\)
−0.630516 + 0.776176i \(0.717157\pi\)
\(692\) 2.74366 + 4.75216i 0.104298 + 0.180650i
\(693\) 9.91085 + 1.63838i 0.376482 + 0.0622371i
\(694\) 8.81697 0.334688
\(695\) 3.13222i 0.118812i
\(696\) 0.181820 + 9.10312i 0.00689187 + 0.345053i
\(697\) 22.1557 38.3749i 0.839208 1.45355i
\(698\) 12.8239 0.485390
\(699\) −18.5499 + 0.370505i −0.701623 + 0.0140138i
\(700\) 6.01272 + 5.35249i 0.227260 + 0.202305i
\(701\) 48.0958i 1.81655i 0.418371 + 0.908276i \(0.362601\pi\)
−0.418371 + 0.908276i \(0.637399\pi\)
\(702\) 10.0954 15.7823i 0.381028 0.595666i
\(703\) 27.6151 + 15.9436i 1.04152 + 0.601323i
\(704\) 1.26560i 0.0476989i
\(705\) −6.57100 + 3.97080i −0.247478 + 0.149549i
\(706\) −29.8507 17.2343i −1.12345 0.648621i
\(707\) 16.6683 + 14.8380i 0.626875 + 0.558040i
\(708\) 21.3087 12.8767i 0.800830 0.483935i
\(709\) −31.4206 −1.18003 −0.590013 0.807394i \(-0.700877\pi\)
−0.590013 + 0.807394i \(0.700877\pi\)
\(710\) −3.06053 + 5.30100i −0.114860 + 0.198943i
\(711\) −19.9187 + 37.9211i −0.747011 + 1.42215i
\(712\) −13.7588 7.94368i −0.515635 0.297702i
\(713\) 6.41272 + 11.1072i 0.240158 + 0.415966i
\(714\) −29.6738 + 10.4899i −1.11051 + 0.392576i
\(715\) 5.83399 2.59278i 0.218179 0.0969644i
\(716\) −5.38969 + 3.11174i −0.201422 + 0.116291i
\(717\) −3.24922 + 5.89670i −0.121344 + 0.220216i
\(718\) 27.9096 1.04158
\(719\) 25.3643 0.945931 0.472965 0.881081i \(-0.343184\pi\)
0.472965 + 0.881081i \(0.343184\pi\)
\(720\) 2.24208 + 3.54819i 0.0835572 + 0.132233i
\(721\) −30.6728 6.33823i −1.14231 0.236048i
\(722\) 1.96637 + 1.13529i 0.0731809 + 0.0422510i
\(723\) 10.7108 0.213932i 0.398341 0.00795621i
\(724\) 8.89460 5.13530i 0.330565 0.190852i
\(725\) 15.9942i 0.594009i
\(726\) 8.41903 + 13.9321i 0.312460 + 0.517067i
\(727\) 2.55940i 0.0949230i 0.998873 + 0.0474615i \(0.0151132\pi\)
−0.998873 + 0.0474615i \(0.984887\pi\)
\(728\) −7.05716 + 6.41845i −0.261556 + 0.237883i
\(729\) −26.8064 + 3.22752i −0.992830 + 0.119538i
\(730\) 5.85095 10.1341i 0.216554 0.375082i
\(731\) 83.5699 3.09095
\(732\) 5.32420 0.106342i 0.196788 0.00393052i
\(733\) 41.4839 23.9507i 1.53224 0.884641i 0.532985 0.846125i \(-0.321070\pi\)
0.999258 0.0385160i \(-0.0122631\pi\)
\(734\) −1.69967 + 2.94391i −0.0627359 + 0.108662i
\(735\) −16.8061 + 2.30027i −0.619904 + 0.0848466i
\(736\) 2.51705 0.0927795
\(737\) 0.790340i 0.0291125i
\(738\) −16.3625 + 10.3394i −0.602313 + 0.380597i
\(739\) 1.30533 0.0480174 0.0240087 0.999712i \(-0.492357\pi\)
0.0240087 + 0.999712i \(0.492357\pi\)
\(740\) −4.83655 8.37715i −0.177795 0.307950i
\(741\) −16.4765 + 23.6237i −0.605280 + 0.867837i
\(742\) 0.274561 1.32869i 0.0100795 0.0487779i
\(743\) −4.26349 + 2.46153i −0.156412 + 0.0903046i −0.576163 0.817335i \(-0.695451\pi\)
0.419751 + 0.907639i \(0.362117\pi\)
\(744\) −7.55351 + 4.56452i −0.276925 + 0.167344i
\(745\) −12.1144 + 6.99425i −0.443837 + 0.256250i
\(746\) −7.31225 4.22173i −0.267721 0.154569i
\(747\) 5.64205 + 8.92882i 0.206432 + 0.326688i
\(748\) 7.52764 + 4.34609i 0.275238 + 0.158909i
\(749\) 1.73538 + 5.23973i 0.0634095 + 0.191456i
\(750\) −10.0798 16.6803i −0.368061 0.609078i
\(751\) 23.3939 40.5194i 0.853656 1.47858i −0.0242306 0.999706i \(-0.507714\pi\)
0.877886 0.478869i \(-0.158953\pi\)
\(752\) −3.16829 −0.115536
\(753\) 2.63590 1.59285i 0.0960576 0.0580468i
\(754\) 18.8483 + 1.99381i 0.686414 + 0.0726101i
\(755\) −10.0872 −0.367110
\(756\) 13.6057 + 1.97093i 0.494835 + 0.0716821i
\(757\) −2.63180 4.55840i −0.0956542 0.165678i 0.814227 0.580546i \(-0.197161\pi\)
−0.909881 + 0.414868i \(0.863828\pi\)
\(758\) 24.5885i 0.893093i
\(759\) −4.72230 + 2.85365i −0.171409 + 0.103581i
\(760\) −3.22626 5.58804i −0.117029 0.202700i
\(761\) −12.7328 −0.461562 −0.230781 0.973006i \(-0.574128\pi\)
−0.230781 + 0.973006i \(0.574128\pi\)
\(762\) −7.38604 + 13.4042i −0.267568 + 0.485585i
\(763\) −39.6852 + 13.1436i −1.43670 + 0.475831i
\(764\) −8.41156 + 4.85641i −0.304319 + 0.175699i
\(765\) 28.8037 1.15107i 1.04140 0.0416171i
\(766\) 21.3552 + 12.3294i 0.771593 + 0.445480i
\(767\) −21.0485 47.3610i −0.760016 1.71011i
\(768\) 0.0345880 + 1.73171i 0.00124809 + 0.0624875i
\(769\) 28.1406 16.2470i 1.01478 0.585881i 0.102189 0.994765i \(-0.467415\pi\)
0.912586 + 0.408884i \(0.134082\pi\)
\(770\) 3.49914 + 3.11491i 0.126100 + 0.112254i
\(771\) −17.8258 + 10.7720i −0.641981 + 0.387944i
\(772\) 2.73242 + 4.73270i 0.0983421 + 0.170334i
\(773\) −6.15935 10.6683i −0.221537 0.383713i 0.733738 0.679432i \(-0.237774\pi\)
−0.955275 + 0.295720i \(0.904441\pi\)
\(774\) −32.3168 16.9750i −1.16160 0.610154i
\(775\) 13.4263 7.75169i 0.482288 0.278449i