Properties

Label 546.2.u.a.425.4
Level $546$
Weight $2$
Character 546.425
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 425.4
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.4

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9} + 2 q^{13} + 12 q^{15} - 38 q^{16} - 8 q^{21} - 42 q^{25} + 20 q^{28} + 20 q^{30} + 12 q^{31} - 4 q^{36} - 6 q^{37} + 12 q^{39} + 8 q^{42} - 2 q^{43} - 4 q^{46} + 2 q^{49} + 10 q^{51} - 14 q^{52} + 18 q^{54} + 24 q^{55} + 8 q^{57} + 16 q^{58} - 12 q^{60} + 32 q^{63} - 76 q^{64} - 24 q^{66} + 96 q^{67} - 30 q^{69} - 54 q^{73} - 12 q^{75} + 18 q^{76} - 12 q^{78} - 60 q^{79} + 8 q^{81} + 8 q^{84} + 8 q^{85} - 24 q^{87} + 48 q^{91} + 16 q^{93} - 66 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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 −0.978976 0.203974i \(-0.934614\pi\)
0.666135 + 0.745831i \(0.267948\pi\)
\(6\) 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 \(0.0611068\pi\)
−0.981630 + 0.190796i \(0.938893\pi\)
\(12\) −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 −0.0628771 0.998021i \(-0.520028\pi\)
0.895750 0.444557i \(-0.146639\pi\)
\(18\) −0.119792 + 2.99761i −0.0282354 + 0.706543i
\(19\) 4.61200i 1.05807i −0.848601 0.529033i \(-0.822555\pi\)
0.848601 0.529033i \(-0.177445\pi\)
\(20\) 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 −0.255214 0.966885i \(-0.582146\pi\)
0.709739 + 0.704464i \(0.248813\pi\)
\(24\) −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 0.859087 0.511830i \(-0.171032\pi\)
−0.0137143 + 0.999906i \(0.504366\pi\)
\(30\) 1.16948 + 2.12238i 0.213517 + 0.387492i
\(31\) 4.41277 2.54772i 0.792558 0.457583i −0.0483045 0.998833i \(-0.515382\pi\)
0.840862 + 0.541249i \(0.182048\pi\)
\(32\) 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 0.996732 + 0.0807796i \(0.0257410\pi\)
−0.428409 + 0.903585i \(0.640926\pi\)
\(38\) 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 0.496187 + 0.868216i \(0.334733\pi\)
−0.999990 + 0.00439709i \(0.998600\pi\)
\(42\) −0.837549 4.50539i −0.129237 0.695196i
\(43\) 6.08396 + 10.5377i 0.927796 + 1.60699i 0.787002 + 0.616951i \(0.211632\pi\)
0.140794 + 0.990039i \(0.455034\pi\)
\(44\) 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 −0.727053 0.686582i \(-0.759110\pi\)
0.958124 + 0.286355i \(0.0924437\pi\)
\(48\) 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 −0.469188 0.883098i \(-0.655454\pi\)
0.530191 + 0.847878i \(0.322120\pi\)
\(54\) −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 0.162300 0.986742i \(-0.448109\pi\)
0.773393 0.633926i \(-0.218558\pi\)
\(60\) −2.07399 1.25330i −0.267751 0.161800i
\(61\) 3.07454i 0.393654i −0.980438 0.196827i \(-0.936936\pi\)
0.980438 0.196827i \(-0.0630638\pi\)
\(62\) −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 −0.258024 0.966139i \(-0.583071\pi\)
0.707689 + 0.706524i \(0.249738\pi\)
\(72\) 2.53611 + 1.60255i 0.298883 + 0.188862i
\(73\) −7.24349 + 4.18203i −0.847786 + 0.489470i −0.859903 0.510457i \(-0.829476\pi\)
0.0121171 + 0.999927i \(0.496143\pi\)
\(74\) −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 −0.114295 0.993447i \(-0.536461\pi\)
0.917498 0.397741i \(-0.130206\pi\)
\(80\) 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 0.888177 + 0.459501i \(0.151972\pi\)
−0.0461496 + 0.998935i \(0.514695\pi\)
\(90\) −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 −0.606923 0.794760i \(-0.707597\pi\)
0.384821 + 0.922991i \(0.374263\pi\)
\(98\) 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 −0.0989308 0.995094i \(-0.531542\pi\)
−0.911242 + 0.411871i \(0.864876\pi\)
\(104\) −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 −0.410120 0.912032i \(-0.634513\pi\)
0.584783 + 0.811190i \(0.301180\pi\)
\(108\) 4.33636 + 2.86286i 0.417267 + 0.275479i
\(109\) −7.90043 13.6840i −0.756724 1.31068i −0.944513 0.328475i \(-0.893465\pi\)
0.187788 0.982210i \(-0.439868\pi\)
\(110\) 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 −0.909521 0.415657i \(-0.863552\pi\)
−0.0947910 + 0.995497i \(0.530218\pi\)
\(114\) −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 −0.600682 0.799488i \(-0.705104\pi\)
0.992718 + 0.120461i \(0.0384374\pi\)
\(128\) 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 −0.184372 0.982857i \(-0.559025\pi\)
0.943365 0.331757i \(-0.107642\pi\)
\(132\) −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 0.214494 0.976725i \(-0.431190\pi\)
−0.738622 + 0.674120i \(0.764523\pi\)
\(138\) 0.0870596 4.35878i 0.00741101 0.371044i
\(139\) 1.93885 1.11939i 0.164451 0.0949457i −0.415516 0.909586i \(-0.636399\pi\)
0.579967 + 0.814640i \(0.303066\pi\)
\(140\) 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 \(0.134315\pi\)
−0.912287 + 0.409552i \(0.865685\pi\)
\(150\) 5.26889 + 0.105238i 0.430203 + 0.00859261i
\(151\) 3.60495 + 6.24397i 0.293367 + 0.508127i 0.974604 0.223937i \(-0.0718909\pi\)
−0.681237 + 0.732063i \(0.738558\pi\)
\(152\) 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 −0.697132 0.716942i \(-0.745541\pi\)
0.272324 + 0.962206i \(0.412208\pi\)
\(158\) 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 0.417805 + 0.908537i \(0.362799\pi\)
−0.995718 + 0.0924384i \(0.970534\pi\)
\(168\) −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 \(-0.925283\pi\)
0.972577 0.232582i \(-0.0747175\pi\)
\(180\) 4.19386 + 0.167598i 0.312592 + 0.0124920i
\(181\) 10.2706i 0.763407i 0.924285 + 0.381704i \(0.124663\pi\)
−0.924285 + 0.381704i \(0.875337\pi\)
\(182\) 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 \(-0.885706\pi\)
0.936226 0.351398i \(-0.114294\pi\)
\(192\) 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 −0.989589 0.143923i \(-0.954028\pi\)
−0.619435 0.785048i \(-0.712638\pi\)
\(198\) −3.79376 0.151609i −0.269611 0.0107744i
\(199\) 11.8705 + 6.85344i 0.841478 + 0.485828i 0.857766 0.514040i \(-0.171852\pi\)
−0.0162883 + 0.999867i \(0.505185\pi\)
\(200\) −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 −0.554751 0.832017i \(-0.687186\pi\)
0.997923 + 0.0644199i \(0.0205197\pi\)
\(212\) 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 0.959820 0.280618i \(-0.0905393\pi\)
0.236888 + 0.971537i \(0.423873\pi\)
\(224\) 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 0.388027 + 0.921648i \(0.373157\pi\)
−0.992184 + 0.124783i \(0.960177\pi\)
\(228\) 7.98663 + 0.159520i 0.528928 + 0.0105645i
\(229\) −16.0335 9.25697i −1.05953 0.611717i −0.134225 0.990951i \(-0.542854\pi\)
−0.925301 + 0.379233i \(0.876188\pi\)
\(230\) −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 0.772082 0.635523i \(-0.219215\pi\)
−0.164338 + 0.986404i \(0.552549\pi\)
\(234\) −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 \(0.0401233\pi\)
−0.992066 + 0.125718i \(0.959877\pi\)
\(240\) −2.12238 + 1.16948i −0.136999 + 0.0754897i
\(241\) −5.35649 3.09257i −0.345042 0.199210i 0.317458 0.948272i \(-0.397171\pi\)
−0.662499 + 0.749063i \(0.730504\pi\)
\(242\) −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 0.836602 0.547811i \(-0.184539\pi\)
−0.892719 + 0.450613i \(0.851205\pi\)
\(252\) −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 0.990334 0.138703i \(-0.0442933\pi\)
−0.615287 + 0.788303i \(0.710960\pi\)
\(258\) 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 \(0.0186069\pi\)
−0.998292 + 0.0584219i \(0.981393\pi\)
\(264\) 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 0.180871 + 0.983507i \(0.442108\pi\)
−0.942177 + 0.335115i \(0.891225\pi\)
\(270\) 7.25674 + 0.435288i 0.441631 + 0.0264908i
\(271\) 6.91993 3.99522i 0.420356 0.242693i −0.274874 0.961480i \(-0.588636\pi\)
0.695230 + 0.718788i \(0.255303\pi\)
\(272\) −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 −0.502288 0.864700i \(-0.667508\pi\)
0.999997 + 0.00264429i \(0.000841705\pi\)
\(278\) −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 \(0.0112245\pi\)
−0.999378 + 0.0352555i \(0.988776\pi\)
\(282\) −2.64837 4.80628i −0.157708 0.286210i
\(283\) 32.8544i 1.95299i −0.215542 0.976495i \(-0.569152\pi\)
0.215542 0.976495i \(-0.430848\pi\)
\(284\) 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 0.771811 0.635852i \(-0.219351\pi\)
−0.936570 + 0.350481i \(0.886018\pi\)
\(294\) −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 \(0.258818\pi\)
−0.687249 + 0.726422i \(0.741182\pi\)
\(308\) 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 0.581147 0.813798i \(-0.302604\pi\)
−0.995344 + 0.0963890i \(0.969271\pi\)
\(312\) 3.57253 + 5.12221i 0.202255 + 0.289988i
\(313\) −9.58723 5.53519i −0.541902 0.312868i 0.203947 0.978982i \(-0.434623\pi\)
−0.745850 + 0.666114i \(0.767956\pi\)
\(314\) 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 0.826318 0.563205i \(-0.190432\pi\)
−0.0745906 + 0.997214i \(0.523765\pi\)
\(318\) 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 0.280843 0.959754i \(-0.409386\pi\)
−0.690750 + 0.723094i \(0.742719\pi\)
\(348\) −4.70902 + 7.79263i −0.252430 + 0.417729i
\(349\) −11.1058 6.41193i −0.594479 0.343223i 0.172388 0.985029i \(-0.444852\pi\)
−0.766866 + 0.641807i \(0.778185\pi\)
\(350\) −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 −0.299617 0.954060i \(-0.596859\pi\)
−0.976048 + 0.217554i \(0.930192\pi\)
\(360\) −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 \(0.0282782\pi\)
−0.996056 + 0.0887219i \(0.971722\pi\)
\(368\) −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 0.355730 + 0.934589i \(0.384232\pi\)
−0.987243 + 0.159223i \(0.949101\pi\)
\(380\) 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 −0.418378 0.908273i \(-0.637401\pi\)
0.577398 + 0.816463i \(0.304068\pi\)
\(390\) −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 \(-0.885499\pi\)
0.935997 0.352009i \(-0.114501\pi\)
\(398\) −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 −0.992494 0.122296i \(-0.960974\pi\)
−0.390335 + 0.920673i \(0.627641\pi\)
\(402\) −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 0.488038 0.872822i \(-0.337713\pi\)
−0.511867 + 0.859065i \(0.671046\pi\)
\(410\) 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 −0.990488 0.137603i \(-0.956060\pi\)
0.614411 + 0.788986i \(0.289394\pi\)
\(420\) −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 \(0.185521\pi\)
−0.834907 + 0.550391i \(0.814479\pi\)
\(432\) 4.64749 2.32397i 0.223602 0.111812i
\(433\) −6.71928 + 3.87938i −0.322908 + 0.186431i −0.652688 0.757627i \(-0.726359\pi\)
0.329780 + 0.944058i \(0.393025\pi\)
\(434\) 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 −0.806865 + 0.590736i \(0.798838\pi\)
−0.915025 + 0.403398i \(0.867829\pi\)
\(440\) 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 0.927405 0.374059i \(-0.122034\pi\)
0.139758 + 0.990186i \(0.455368\pi\)
\(444\) −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 −0.617666 0.786441i \(-0.711921\pi\)
0.372245 + 0.928135i \(0.378588\pi\)
\(450\) −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 0.970697 + 0.240306i \(0.0772478\pi\)
−0.277237 + 0.960801i \(0.589419\pi\)
\(458\) 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 0.940892 0.338708i \(-0.109990\pi\)
−0.763775 + 0.645482i \(0.776657\pi\)
\(462\) 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 −0.615250 0.788332i \(-0.710945\pi\)
0.990341 + 0.138657i \(0.0442785\pi\)
\(468\) 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 −0.879868 0.475218i \(-0.842369\pi\)
0.851485 + 0.524379i \(0.175703\pi\)
\(488\) 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 0.459162 0.888353i \(-0.348150\pi\)
−0.539755 + 0.841822i \(0.681483\pi\)
\(492\) −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 −0.969901 0.243500i \(-0.921705\pi\)
0.695827 + 0.718209i \(0.255038\pi\)
\(500\) −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 −0.845911 0.533324i \(-0.820943\pi\)
−0.0389171 0.999242i \(-0.512391\pi\)
\(504\) 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 −0.999981 0.00615918i \(-0.998039\pi\)
0.494657 0.869089i \(-0.335294\pi\)
\(510\) 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 0.820118 0.572194i \(-0.193908\pi\)
−0.905594 + 0.424146i \(0.860574\pi\)
\(522\) −8.42417 + 13.3317i −0.368716 + 0.583511i
\(523\) −6.73834 + 3.89038i −0.294647 + 0.170115i −0.640036 0.768345i \(-0.721080\pi\)
0.345389 + 0.938460i \(0.387747\pi\)
\(524\) −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 −0.910111 0.414366i \(-0.864004\pi\)
0.813906 + 0.580996i \(0.197337\pi\)
\(542\) −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 \(0.145264\pi\)
−0.897662 + 0.440684i \(0.854736\pi\)
\(558\) 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 0.490151 + 0.871637i \(0.336941\pi\)
−0.999936 + 0.0113351i \(0.996392\pi\)
\(564\) 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 0.297804 0.954627i \(-0.403746\pi\)
0.975633 + 0.219408i \(0.0704125\pi\)
\(570\) 9.78843 5.39365i 0.409992 0.225915i
\(571\) 10.1633 + 17.6034i 0.425321 + 0.736678i 0.996450 0.0841821i \(-0.0268277\pi\)
−0.571129 + 0.820860i \(0.693494\pi\)
\(572\) −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 −0.743158 0.669116i \(-0.766673\pi\)
0.207892 + 0.978152i \(0.433340\pi\)
\(578\) 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 −0.997478 0.0709716i \(-0.977390\pi\)
0.560202 + 0.828356i \(0.310723\pi\)
\(588\) 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 0.483439 + 0.875378i \(0.339388\pi\)
−0.999819 + 0.0190190i \(0.993946\pi\)
\(594\) 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 −0.945729 0.324956i \(-0.894650\pi\)
−0.191444 + 0.981503i \(0.561317\pi\)
\(600\) 2.72558 4.51037i 0.111271 0.184135i
\(601\) 15.0678 + 8.69938i 0.614627 + 0.354855i 0.774774 0.632238i \(-0.217864\pi\)
−0.160147 + 0.987093i \(0.551197\pi\)
\(602\) −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 \(0.203125\pi\)
−0.803208 + 0.595698i \(0.796875\pi\)
\(608\) 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 −0.163399 0.986560i \(-0.552246\pi\)
0.772687 + 0.634787i \(0.218912\pi\)
\(618\) −17.9584 + 9.89549i −0.722393 + 0.398055i
\(619\) −20.5117 + 11.8425i −0.824436 + 0.475989i −0.851944 0.523633i \(-0.824576\pi\)
0.0275075 + 0.999622i \(0.491243\pi\)
\(620\) 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 0.928589 0.371109i \(-0.121023\pi\)
−0.785685 + 0.618627i \(0.787689\pi\)
\(632\) 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 −0.0743968 0.997229i \(-0.523703\pi\)
−0.900824 + 0.434185i \(0.857036\pi\)
\(642\) 0.0721583 3.61273i 0.00284786 0.142583i
\(643\) 39.1207 22.5863i 1.54277 0.890718i 0.544106 0.839016i \(-0.316869\pi\)
0.998663 0.0517020i \(-0.0164646\pi\)
\(644\) −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 −0.896166 0.443719i \(-0.853659\pi\)
−0.0638110 + 0.997962i \(0.520325\pi\)
\(654\) −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 0.330082 0.943952i \(-0.392924\pi\)
0.982528 + 0.186116i \(0.0595902\pi\)
\(660\) 1.58617 2.62484i 0.0617415 0.102172i
\(661\) 14.1995i 0.552296i 0.961115 + 0.276148i \(0.0890581\pi\)
−0.961115 + 0.276148i \(0.910942\pi\)
\(662\) 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 −0.579915 0.814677i \(-0.696914\pi\)
0.995489 + 0.0948822i \(0.0302475\pi\)
\(674\) −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 0.148960 + 0.988843i \(0.452407\pi\)
−0.930844 + 0.365418i \(0.880926\pi\)
\(678\) −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 0.960501 0.278275i \(-0.0897626\pi\)
0.239258 + 0.970956i \(0.423096\pi\)
\(684\) −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 −0.630516 0.776176i \(-0.717157\pi\)
0.356930 + 0.934131i \(0.383824\pi\)
\(692\) 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 \(-0.637399\pi\)
0.418371 0.908276i \(-0.362601\pi\)
\(702\) 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 \(-0.984887\pi\)
0.998873 0.0474615i \(-0.0151132\pi\)
\(728\) −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 0.999258 + 0.0385160i \(0.0122631\pi\)
0.532985 + 0.846125i \(0.321070\pi\)
\(734\) −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 0.419751 0.907639i \(-0.362117\pi\)
−0.576163 + 0.817335i \(0.695451\pi\)
\(744\) −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 0.877886 + 0.478869i \(0.158953\pi\)
−0.0242306 + 0.999706i \(0.507714\pi\)
\(752\) −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 −0.909881 0.414868i \(-0.863828\pi\)
0.814227 + 0.580546i \(0.197161\pi\)
\(758\) 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 0.912586 0.408884i \(-0.134082\pi\)
0.102189 + 0.994765i \(0.467415\pi\)
\(770\) 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 −0.955275 0.295720i \(-0.904441\pi\)
0.733738 + 0.679432i \(0.237774\pi\)
\(774\) −32.3168 + 16.9750i −1.16160 +