Properties

Label 546.2.bg.a.311.2
Level $546$
Weight $2$
Character 546.311
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
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.bg (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.2
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.a.467.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.63622 - 0.568150i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.08726 + 0.627730i) q^{5} +(0.326076 + 1.70108i) q^{6} +(1.14208 - 2.38656i) q^{7} +1.00000 q^{8} +(2.35441 + 1.85923i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.63622 - 0.568150i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.08726 + 0.627730i) q^{5} +(0.326076 + 1.70108i) q^{6} +(1.14208 - 2.38656i) q^{7} +1.00000 q^{8} +(2.35441 + 1.85923i) q^{9} +(1.08726 + 0.627730i) q^{10} +(0.900851 - 1.56032i) q^{11} +(1.31014 - 1.13293i) q^{12} +(-0.657649 - 3.54507i) q^{13} +(-2.63786 + 0.204205i) q^{14} +(2.13564 - 0.409376i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.12649 + 1.95113i) q^{17} +(0.432936 - 2.96860i) q^{18} +(-2.46356 - 4.26702i) q^{19} -1.25546i q^{20} +(-3.22462 + 3.25605i) q^{21} -1.80170 q^{22} +(-7.93452 + 4.58100i) q^{23} +(-1.63622 - 0.568150i) q^{24} +(-1.71191 + 2.96512i) q^{25} +(-2.74129 + 2.34207i) q^{26} +(-2.79601 - 4.37977i) q^{27} +(1.49578 + 2.18235i) q^{28} +6.62631i q^{29} +(-1.42235 - 1.64483i) q^{30} +(2.39209 - 4.14321i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-2.36048 + 2.04120i) q^{33} +2.25297 q^{34} +(0.256371 + 3.31172i) q^{35} +(-2.78735 + 1.10936i) q^{36} +(-4.77663 + 2.75779i) q^{37} +(-2.46356 + 4.26702i) q^{38} +(-0.938072 + 6.17414i) q^{39} +(-1.08726 + 0.627730i) q^{40} -9.52690i q^{41} +(4.43213 + 1.16458i) q^{42} +3.14581 q^{43} +(0.900851 + 1.56032i) q^{44} +(-3.72695 - 0.543534i) q^{45} +(7.93452 + 4.58100i) q^{46} +(-8.20429 + 4.73675i) q^{47} +(0.326076 + 1.70108i) q^{48} +(-4.39129 - 5.45129i) q^{49} +3.42382 q^{50} +(2.95171 - 2.55246i) q^{51} +(3.39894 + 1.20299i) q^{52} +(-11.2966 - 6.52211i) q^{53} +(-2.39498 + 4.61130i) q^{54} +2.26196i q^{55} +(1.14208 - 2.38656i) q^{56} +(1.60662 + 8.38144i) q^{57} +(5.73855 - 3.31315i) q^{58} +(4.80116 + 2.77195i) q^{59} +(-0.713289 + 2.05420i) q^{60} +(2.64951 - 1.52970i) q^{61} -4.78417 q^{62} +(7.12609 - 3.49554i) q^{63} +1.00000 q^{64} +(2.94038 + 3.44158i) q^{65} +(2.94797 + 1.02364i) q^{66} +(-11.4400 - 6.60487i) q^{67} +(-1.12649 - 1.95113i) q^{68} +(15.5853 - 2.98751i) q^{69} +(2.73985 - 1.87789i) q^{70} +9.21344 q^{71} +(2.35441 + 1.85923i) q^{72} +(-7.95079 + 13.7712i) q^{73} +(4.77663 + 2.75779i) q^{74} +(4.48569 - 3.87895i) q^{75} +4.92713 q^{76} +(-2.69494 - 3.93194i) q^{77} +(5.81600 - 2.27468i) q^{78} +(-0.323763 - 0.560775i) q^{79} +(1.08726 + 0.627730i) q^{80} +(2.08651 + 8.75480i) q^{81} +(-8.25053 + 4.76345i) q^{82} -11.3503i q^{83} +(-1.20751 - 4.42062i) q^{84} -2.82851i q^{85} +(-1.57290 - 2.72435i) q^{86} +(3.76474 - 10.8421i) q^{87} +(0.900851 - 1.56032i) q^{88} +(-11.1220 + 6.42131i) q^{89} +(1.39276 + 3.49940i) q^{90} +(-9.21159 - 2.47924i) q^{91} -9.16199i q^{92} +(-6.26793 + 5.42013i) q^{93} +(8.20429 + 4.73675i) q^{94} +(5.35707 + 3.09290i) q^{95} +(1.31014 - 1.13293i) q^{96} -1.48848 q^{97} +(-2.52531 + 6.52862i) q^{98} +(5.02197 - 1.99874i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} - 14q^{15} - 18q^{16} + 4q^{18} + 23q^{21} + 14q^{25} - 6q^{26} + 7q^{30} - 18q^{32} + 24q^{33} - 8q^{36} - 10q^{39} - 16q^{42} - 16q^{43} - 9q^{45} + 72q^{47} + 12q^{49} - 28q^{50} - 3q^{51} + 6q^{52} + 9q^{54} - 8q^{57} + 24q^{59} + 7q^{60} - 36q^{61} - 39q^{63} + 36q^{64} + 18q^{65} - 24q^{66} - 72q^{71} + 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} - 7q^{84} + 8q^{86} - 24q^{87} - 72q^{89} - 2q^{91} - 14q^{93} - 72q^{94} - 12q^{98} + 72q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −1.63622 0.568150i −0.944670 0.328021i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −1.08726 + 0.627730i −0.486237 + 0.280729i −0.723012 0.690835i \(-0.757243\pi\)
0.236775 + 0.971565i \(0.423910\pi\)
\(6\) 0.326076 + 1.70108i 0.133120 + 0.694463i
\(7\) 1.14208 2.38656i 0.431667 0.902033i
\(8\) 1.00000 0.353553
\(9\) 2.35441 + 1.85923i 0.784804 + 0.619744i
\(10\) 1.08726 + 0.627730i 0.343822 + 0.198506i
\(11\) 0.900851 1.56032i 0.271617 0.470454i −0.697659 0.716430i \(-0.745775\pi\)
0.969276 + 0.245976i \(0.0791084\pi\)
\(12\) 1.31014 1.13293i 0.378205 0.327049i
\(13\) −0.657649 3.54507i −0.182399 0.983225i
\(14\) −2.63786 + 0.204205i −0.704997 + 0.0545760i
\(15\) 2.13564 0.409376i 0.551419 0.105700i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.12649 + 1.95113i −0.273213 + 0.473218i −0.969683 0.244368i \(-0.921420\pi\)
0.696470 + 0.717586i \(0.254753\pi\)
\(18\) 0.432936 2.96860i 0.102044 0.699705i
\(19\) −2.46356 4.26702i −0.565180 0.978921i −0.997033 0.0769769i \(-0.975473\pi\)
0.431853 0.901944i \(-0.357860\pi\)
\(20\) 1.25546i 0.280729i
\(21\) −3.22462 + 3.25605i −0.703669 + 0.710528i
\(22\) −1.80170 −0.384124
\(23\) −7.93452 + 4.58100i −1.65446 + 0.955204i −0.679256 + 0.733901i \(0.737697\pi\)
−0.975205 + 0.221302i \(0.928969\pi\)
\(24\) −1.63622 0.568150i −0.333991 0.115973i
\(25\) −1.71191 + 2.96512i −0.342382 + 0.593023i
\(26\) −2.74129 + 2.34207i −0.537612 + 0.459319i
\(27\) −2.79601 4.37977i −0.538092 0.842886i
\(28\) 1.49578 + 2.18235i 0.282675 + 0.412425i
\(29\) 6.62631i 1.23047i 0.788342 + 0.615237i \(0.210940\pi\)
−0.788342 + 0.615237i \(0.789060\pi\)
\(30\) −1.42235 1.64483i −0.259684 0.300303i
\(31\) 2.39209 4.14321i 0.429631 0.744143i −0.567209 0.823574i \(-0.691977\pi\)
0.996840 + 0.0794307i \(0.0253103\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −2.36048 + 2.04120i −0.410907 + 0.355328i
\(34\) 2.25297 0.386381
\(35\) 0.256371 + 3.31172i 0.0433346 + 0.559784i
\(36\) −2.78735 + 1.10936i −0.464558 + 0.184894i
\(37\) −4.77663 + 2.75779i −0.785274 + 0.453378i −0.838296 0.545215i \(-0.816448\pi\)
0.0530223 + 0.998593i \(0.483115\pi\)
\(38\) −2.46356 + 4.26702i −0.399643 + 0.692202i
\(39\) −0.938072 + 6.17414i −0.150212 + 0.988654i
\(40\) −1.08726 + 0.627730i −0.171911 + 0.0992528i
\(41\) 9.52690i 1.48785i −0.668262 0.743926i \(-0.732962\pi\)
0.668262 0.743926i \(-0.267038\pi\)
\(42\) 4.43213 + 1.16458i 0.683892 + 0.179698i
\(43\) 3.14581 0.479731 0.239866 0.970806i \(-0.422897\pi\)
0.239866 + 0.970806i \(0.422897\pi\)
\(44\) 0.900851 + 1.56032i 0.135808 + 0.235227i
\(45\) −3.72695 0.543534i −0.555581 0.0810252i
\(46\) 7.93452 + 4.58100i 1.16988 + 0.675431i
\(47\) −8.20429 + 4.73675i −1.19672 + 0.690926i −0.959822 0.280609i \(-0.909463\pi\)
−0.236896 + 0.971535i \(0.576130\pi\)
\(48\) 0.326076 + 1.70108i 0.0470651 + 0.245530i
\(49\) −4.39129 5.45129i −0.627328 0.778756i
\(50\) 3.42382 0.484202
\(51\) 2.95171 2.55246i 0.413322 0.357416i
\(52\) 3.39894 + 1.20299i 0.471349 + 0.166825i
\(53\) −11.2966 6.52211i −1.55171 0.895881i −0.998003 0.0631707i \(-0.979879\pi\)
−0.553709 0.832710i \(-0.686788\pi\)
\(54\) −2.39498 + 4.61130i −0.325916 + 0.627518i
\(55\) 2.26196i 0.305003i
\(56\) 1.14208 2.38656i 0.152617 0.318917i
\(57\) 1.60662 + 8.38144i 0.212802 + 1.11015i
\(58\) 5.73855 3.31315i 0.753509 0.435039i
\(59\) 4.80116 + 2.77195i 0.625058 + 0.360877i 0.778836 0.627228i \(-0.215811\pi\)
−0.153778 + 0.988105i \(0.549144\pi\)
\(60\) −0.713289 + 2.05420i −0.0920852 + 0.265197i
\(61\) 2.64951 1.52970i 0.339236 0.195858i −0.320698 0.947181i \(-0.603918\pi\)
0.659934 + 0.751324i \(0.270584\pi\)
\(62\) −4.78417 −0.607590
\(63\) 7.12609 3.49554i 0.897804 0.440396i
\(64\) 1.00000 0.125000
\(65\) 2.94038 + 3.44158i 0.364709 + 0.426876i
\(66\) 2.94797 + 1.02364i 0.362871 + 0.126001i
\(67\) −11.4400 6.60487i −1.39761 0.806913i −0.403472 0.914992i \(-0.632197\pi\)
−0.994142 + 0.108079i \(0.965530\pi\)
\(68\) −1.12649 1.95113i −0.136606 0.236609i
\(69\) 15.5853 2.98751i 1.87625 0.359654i
\(70\) 2.73985 1.87789i 0.327475 0.224450i
\(71\) 9.21344 1.09343 0.546717 0.837318i \(-0.315877\pi\)
0.546717 + 0.837318i \(0.315877\pi\)
\(72\) 2.35441 + 1.85923i 0.277470 + 0.219113i
\(73\) −7.95079 + 13.7712i −0.930570 + 1.61179i −0.148220 + 0.988954i \(0.547354\pi\)
−0.782350 + 0.622839i \(0.785979\pi\)
\(74\) 4.77663 + 2.75779i 0.555272 + 0.320587i
\(75\) 4.48569 3.87895i 0.517963 0.447903i
\(76\) 4.92713 0.565180
\(77\) −2.69494 3.93194i −0.307117 0.448087i
\(78\) 5.81600 2.27468i 0.658532 0.257556i
\(79\) −0.323763 0.560775i −0.0364262 0.0630921i 0.847238 0.531214i \(-0.178264\pi\)
−0.883664 + 0.468122i \(0.844931\pi\)
\(80\) 1.08726 + 0.627730i 0.121559 + 0.0701823i
\(81\) 2.08651 + 8.75480i 0.231835 + 0.972755i
\(82\) −8.25053 + 4.76345i −0.911119 + 0.526035i
\(83\) 11.3503i 1.24585i −0.782280 0.622926i \(-0.785944\pi\)
0.782280 0.622926i \(-0.214056\pi\)
\(84\) −1.20751 4.42062i −0.131750 0.482330i
\(85\) 2.82851i 0.306795i
\(86\) −1.57290 2.72435i −0.169611 0.293774i
\(87\) 3.76474 10.8421i 0.403622 1.16239i
\(88\) 0.900851 1.56032i 0.0960310 0.166331i
\(89\) −11.1220 + 6.42131i −1.17893 + 0.680657i −0.955767 0.294124i \(-0.904972\pi\)
−0.223165 + 0.974781i \(0.571639\pi\)
\(90\) 1.39276 + 3.49940i 0.146810 + 0.368869i
\(91\) −9.21159 2.47924i −0.965637 0.259895i
\(92\) 9.16199i 0.955204i
\(93\) −6.26793 + 5.42013i −0.649955 + 0.562042i
\(94\) 8.20429 + 4.73675i 0.846208 + 0.488558i
\(95\) 5.35707 + 3.09290i 0.549623 + 0.317325i
\(96\) 1.31014 1.13293i 0.133716 0.115629i
\(97\) −1.48848 −0.151132 −0.0755661 0.997141i \(-0.524076\pi\)
−0.0755661 + 0.997141i \(0.524076\pi\)
\(98\) −2.52531 + 6.52862i −0.255095 + 0.659490i
\(99\) 5.02197 1.99874i 0.504727 0.200881i
\(100\) −1.71191 2.96512i −0.171191 0.296512i
\(101\) 0.424346 0.734989i 0.0422240 0.0731342i −0.844141 0.536121i \(-0.819889\pi\)
0.886365 + 0.462987i \(0.153222\pi\)
\(102\) −3.68635 1.28002i −0.365003 0.126741i
\(103\) 5.30846 3.06484i 0.523058 0.301988i −0.215127 0.976586i \(-0.569017\pi\)
0.738185 + 0.674599i \(0.235683\pi\)
\(104\) −0.657649 3.54507i −0.0644878 0.347622i
\(105\) 1.46208 5.56436i 0.142684 0.543026i
\(106\) 13.0442i 1.26697i
\(107\) 9.73051 5.61791i 0.940684 0.543104i 0.0505092 0.998724i \(-0.483916\pi\)
0.890175 + 0.455620i \(0.150582\pi\)
\(108\) 5.19099 0.231530i 0.499503 0.0222790i
\(109\) −2.01838 1.16531i −0.193326 0.111617i 0.400213 0.916422i \(-0.368936\pi\)
−0.593539 + 0.804806i \(0.702270\pi\)
\(110\) 1.95892 1.13098i 0.186775 0.107835i
\(111\) 9.38245 1.79850i 0.890543 0.170706i
\(112\) −2.63786 + 0.204205i −0.249254 + 0.0192955i
\(113\) 9.43789i 0.887842i −0.896066 0.443921i \(-0.853587\pi\)
0.896066 0.443921i \(-0.146413\pi\)
\(114\) 6.45523 5.58209i 0.604588 0.522811i
\(115\) 5.75125 9.96146i 0.536307 0.928911i
\(116\) −5.73855 3.31315i −0.532811 0.307619i
\(117\) 5.04272 9.56927i 0.466200 0.884679i
\(118\) 5.54390i 0.510357i
\(119\) 3.36994 + 4.91677i 0.308922 + 0.450720i
\(120\) 2.13564 0.409376i 0.194956 0.0373707i
\(121\) 3.87694 + 6.71505i 0.352449 + 0.610459i
\(122\) −2.64951 1.52970i −0.239876 0.138492i
\(123\) −5.41270 + 15.5881i −0.488047 + 1.40553i
\(124\) 2.39209 + 4.14321i 0.214816 + 0.372071i
\(125\) 10.5758i 0.945925i
\(126\) −6.59027 4.42361i −0.587108 0.394087i
\(127\) 9.66003 0.857189 0.428594 0.903497i \(-0.359009\pi\)
0.428594 + 0.903497i \(0.359009\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −5.14723 1.78729i −0.453188 0.157362i
\(130\) 1.51031 4.26723i 0.132463 0.374261i
\(131\) −9.71936 16.8344i −0.849184 1.47083i −0.881937 0.471367i \(-0.843761\pi\)
0.0327529 0.999463i \(-0.489573\pi\)
\(132\) −0.587492 3.06484i −0.0511347 0.266760i
\(133\) −12.9971 + 1.00614i −1.12699 + 0.0872437i
\(134\) 13.2097i 1.14115i
\(135\) 5.78929 + 3.00681i 0.498263 + 0.258785i
\(136\) −1.12649 + 1.95113i −0.0965953 + 0.167308i
\(137\) 5.51288 9.54858i 0.470997 0.815790i −0.528453 0.848963i \(-0.677228\pi\)
0.999450 + 0.0331723i \(0.0105610\pi\)
\(138\) −10.3799 12.0035i −0.883596 1.02181i
\(139\) 9.08904i 0.770922i 0.922724 + 0.385461i \(0.125958\pi\)
−0.922724 + 0.385461i \(0.874042\pi\)
\(140\) −2.99622 1.43384i −0.253227 0.121181i
\(141\) 16.1152 3.08908i 1.35714 0.260148i
\(142\) −4.60672 7.97907i −0.386587 0.669589i
\(143\) −6.12388 2.16743i −0.512105 0.181250i
\(144\) 0.432936 2.96860i 0.0360780 0.247383i
\(145\) −4.15953 7.20452i −0.345430 0.598303i
\(146\) 15.9016 1.31602
\(147\) 4.08796 + 11.4144i 0.337169 + 0.941444i
\(148\) 5.51558i 0.453378i
\(149\) −4.17530 7.23183i −0.342054 0.592455i 0.642760 0.766068i \(-0.277789\pi\)
−0.984814 + 0.173613i \(0.944456\pi\)
\(150\) −5.60212 1.94524i −0.457411 0.158828i
\(151\) 9.67867 + 5.58798i 0.787639 + 0.454744i 0.839131 0.543930i \(-0.183064\pi\)
−0.0514918 + 0.998673i \(0.516398\pi\)
\(152\) −2.46356 4.26702i −0.199821 0.346101i
\(153\) −6.27981 + 2.49937i −0.507693 + 0.202062i
\(154\) −2.05769 + 4.29986i −0.165814 + 0.346493i
\(155\) 6.00633i 0.482440i
\(156\) −4.87793 3.89946i −0.390547 0.312207i
\(157\) 6.53612 + 3.77363i 0.521639 + 0.301168i 0.737605 0.675232i \(-0.235957\pi\)
−0.215966 + 0.976401i \(0.569290\pi\)
\(158\) −0.323763 + 0.560775i −0.0257572 + 0.0446128i
\(159\) 14.7782 + 17.0898i 1.17199 + 1.35531i
\(160\) 1.25546i 0.0992528i
\(161\) 1.87092 + 24.1680i 0.147449 + 1.90471i
\(162\) 6.53862 6.18437i 0.513723 0.485890i
\(163\) 10.1935 5.88520i 0.798414 0.460965i −0.0445021 0.999009i \(-0.514170\pi\)
0.842916 + 0.538045i \(0.180837\pi\)
\(164\) 8.25053 + 4.76345i 0.644258 + 0.371963i
\(165\) 1.28513 3.70106i 0.100047 0.288127i
\(166\) −9.82961 + 5.67513i −0.762926 + 0.440475i
\(167\) 8.30092i 0.642344i 0.947021 + 0.321172i \(0.104077\pi\)
−0.947021 + 0.321172i \(0.895923\pi\)
\(168\) −3.22462 + 3.25605i −0.248785 + 0.251210i
\(169\) −12.1350 + 4.66282i −0.933461 + 0.358678i
\(170\) −2.44956 + 1.41426i −0.187873 + 0.108468i
\(171\) 2.13313 14.6267i 0.163125 1.11853i
\(172\) −1.57290 + 2.72435i −0.119933 + 0.207730i
\(173\) 9.17486 + 15.8913i 0.697552 + 1.20819i 0.969313 + 0.245830i \(0.0790605\pi\)
−0.271761 + 0.962365i \(0.587606\pi\)
\(174\) −11.2719 + 2.16068i −0.854519 + 0.163801i
\(175\) 5.12127 + 7.47198i 0.387132 + 0.564829i
\(176\) −1.80170 −0.135808
\(177\) −6.28086 7.26329i −0.472098 0.545942i
\(178\) 11.1220 + 6.42131i 0.833631 + 0.481297i
\(179\) 3.45299 + 1.99358i 0.258088 + 0.149007i 0.623462 0.781853i \(-0.285725\pi\)
−0.365374 + 0.930861i \(0.619059\pi\)
\(180\) 2.33419 2.95587i 0.173980 0.220317i
\(181\) 13.2147i 0.982244i −0.871091 0.491122i \(-0.836587\pi\)
0.871091 0.491122i \(-0.163413\pi\)
\(182\) 2.45871 + 9.21709i 0.182251 + 0.683216i
\(183\) −5.20428 + 0.997597i −0.384711 + 0.0737445i
\(184\) −7.93452 + 4.58100i −0.584940 + 0.337716i
\(185\) 3.46229 5.99687i 0.254553 0.440899i
\(186\) 7.82794 + 2.71812i 0.573972 + 0.199303i
\(187\) 2.02959 + 3.51535i 0.148418 + 0.257068i
\(188\) 9.47349i 0.690926i
\(189\) −13.6458 + 1.67077i −0.992588 + 0.121531i
\(190\) 6.18581i 0.448766i
\(191\) −4.46998 + 2.58075i −0.323437 + 0.186736i −0.652923 0.757424i \(-0.726458\pi\)
0.329487 + 0.944160i \(0.393124\pi\)
\(192\) −1.63622 0.568150i −0.118084 0.0410027i
\(193\) 2.77221 + 1.60054i 0.199548 + 0.115209i 0.596445 0.802654i \(-0.296579\pi\)
−0.396896 + 0.917863i \(0.629913\pi\)
\(194\) 0.744240 + 1.28906i 0.0534333 + 0.0925492i
\(195\) −2.85576 7.30175i −0.204505 0.522889i
\(196\) 6.91660 1.07733i 0.494043 0.0769519i
\(197\) 3.52408 0.251081 0.125540 0.992089i \(-0.459934\pi\)
0.125540 + 0.992089i \(0.459934\pi\)
\(198\) −4.24195 3.34978i −0.301462 0.238059i
\(199\) −8.99539 5.19349i −0.637666 0.368157i 0.146049 0.989277i \(-0.453344\pi\)
−0.783715 + 0.621121i \(0.786678\pi\)
\(200\) −1.71191 + 2.96512i −0.121050 + 0.209665i
\(201\) 14.9657 + 17.3066i 1.05560 + 1.22071i
\(202\) −0.848692 −0.0597138
\(203\) 15.8141 + 7.56780i 1.10993 + 0.531155i
\(204\) 0.734641 + 3.83248i 0.0514351 + 0.268328i
\(205\) 5.98031 + 10.3582i 0.417683 + 0.723449i
\(206\) −5.30846 3.06484i −0.369858 0.213537i
\(207\) −27.1983 3.96656i −1.89041 0.275695i
\(208\) −2.74129 + 2.34207i −0.190074 + 0.162394i
\(209\) −8.87721 −0.614050
\(210\) −5.54991 + 1.51598i −0.382980 + 0.104613i
\(211\) 7.62625 0.525013 0.262506 0.964930i \(-0.415451\pi\)
0.262506 + 0.964930i \(0.415451\pi\)
\(212\) 11.2966 6.52211i 0.775856 0.447941i
\(213\) −15.0752 5.23461i −1.03293 0.358670i
\(214\) −9.73051 5.61791i −0.665164 0.384033i
\(215\) −3.42031 + 1.97472i −0.233263 + 0.134675i
\(216\) −2.79601 4.37977i −0.190244 0.298005i
\(217\) −7.15605 10.4407i −0.485784 0.708763i
\(218\) 2.33062i 0.157850i
\(219\) 20.8333 18.0154i 1.40778 1.21737i
\(220\) −1.95892 1.13098i −0.132070 0.0762507i
\(221\) 7.65772 + 2.71031i 0.515114 + 0.182315i
\(222\) −6.24877 7.22619i −0.419390 0.484990i
\(223\) −0.159812 −0.0107018 −0.00535090 0.999986i \(-0.501703\pi\)
−0.00535090 + 0.999986i \(0.501703\pi\)
\(224\) 1.49578 + 2.18235i 0.0999407 + 0.145814i
\(225\) −9.54339 + 3.79827i −0.636226 + 0.253218i
\(226\) −8.17345 + 4.71894i −0.543690 + 0.313900i
\(227\) −7.71498 4.45425i −0.512061 0.295639i 0.221619 0.975133i \(-0.428866\pi\)
−0.733681 + 0.679495i \(0.762199\pi\)
\(228\) −8.06185 2.79935i −0.533909 0.185391i
\(229\) 2.78489 + 4.82358i 0.184031 + 0.318751i 0.943250 0.332085i \(-0.107752\pi\)
−0.759219 + 0.650836i \(0.774419\pi\)
\(230\) −11.5025 −0.758453
\(231\) 2.17558 + 7.96464i 0.143142 + 0.524035i
\(232\) 6.62631i 0.435039i
\(233\) −4.99084 + 2.88146i −0.326961 + 0.188771i −0.654491 0.756070i \(-0.727117\pi\)
0.327530 + 0.944841i \(0.393784\pi\)
\(234\) −10.8086 + 0.417507i −0.706580 + 0.0272933i
\(235\) 5.94679 10.3001i 0.387926 0.671907i
\(236\) −4.80116 + 2.77195i −0.312529 + 0.180439i
\(237\) 0.211143 + 1.10150i 0.0137152 + 0.0715498i
\(238\) 2.57308 5.37684i 0.166788 0.348529i
\(239\) −12.0528 −0.779630 −0.389815 0.920893i \(-0.627461\pi\)
−0.389815 + 0.920893i \(0.627461\pi\)
\(240\) −1.42235 1.64483i −0.0918122 0.106173i
\(241\) 7.40564 12.8269i 0.477039 0.826256i −0.522615 0.852569i \(-0.675043\pi\)
0.999654 + 0.0263129i \(0.00837662\pi\)
\(242\) 3.87694 6.71505i 0.249219 0.431660i
\(243\) 1.56005 15.5102i 0.100077 0.994980i
\(244\) 3.05940i 0.195858i
\(245\) 8.19641 + 3.17042i 0.523649 + 0.202551i
\(246\) 16.2060 3.10650i 1.03326 0.198063i
\(247\) −13.5067 + 11.5397i −0.859411 + 0.734254i
\(248\) 2.39209 4.14321i 0.151898 0.263094i
\(249\) −6.44865 + 18.5715i −0.408666 + 1.17692i
\(250\) −9.15888 + 5.28788i −0.579258 + 0.334435i
\(251\) 9.87047 0.623019 0.311509 0.950243i \(-0.399165\pi\)
0.311509 + 0.950243i \(0.399165\pi\)
\(252\) −0.535824 + 7.91915i −0.0337537 + 0.498859i
\(253\) 16.5072i 1.03780i
\(254\) −4.83001 8.36583i −0.303062 0.524919i
\(255\) −1.60702 + 4.62806i −0.100635 + 0.289820i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −4.00565 6.93799i −0.249866 0.432780i 0.713623 0.700530i \(-0.247053\pi\)
−0.963488 + 0.267750i \(0.913720\pi\)
\(258\) 1.02577 + 5.35127i 0.0638619 + 0.333156i
\(259\) 1.12631 + 14.5493i 0.0699854 + 0.904051i
\(260\) −4.45069 + 0.825652i −0.276020 + 0.0512047i
\(261\) −12.3198 + 15.6011i −0.762579 + 0.965682i
\(262\) −9.71936 + 16.8344i −0.600464 + 1.04003i
\(263\) 9.16411 + 5.29090i 0.565083 + 0.326251i 0.755183 0.655514i \(-0.227548\pi\)
−0.190100 + 0.981765i \(0.560881\pi\)
\(264\) −2.36048 + 2.04120i −0.145278 + 0.125627i
\(265\) 16.3765 1.00600
\(266\) 7.36988 + 10.7527i 0.451876 + 0.659292i
\(267\) 21.8463 4.18767i 1.33697 0.256281i
\(268\) 11.4400 6.60487i 0.698807 0.403457i
\(269\) −5.38350 + 9.32450i −0.328238 + 0.568525i −0.982162 0.188035i \(-0.939788\pi\)
0.653924 + 0.756560i \(0.273121\pi\)
\(270\) −0.290676 6.51708i −0.0176900 0.396617i
\(271\) 0.888146 + 1.53831i 0.0539510 + 0.0934459i 0.891740 0.452549i \(-0.149485\pi\)
−0.837789 + 0.545995i \(0.816152\pi\)
\(272\) 2.25297 0.136606
\(273\) 13.6636 + 9.29014i 0.826957 + 0.562265i
\(274\) −11.0258 −0.666090
\(275\) 3.08435 + 5.34226i 0.185993 + 0.322150i
\(276\) −5.20538 + 14.9910i −0.313327 + 0.902353i
\(277\) 8.32192 14.4140i 0.500016 0.866053i −0.499984 0.866034i \(-0.666661\pi\)
1.00000 1.81111e-5i \(-5.76495e-6\pi\)
\(278\) 7.87134 4.54452i 0.472091 0.272562i
\(279\) 13.3351 5.30739i 0.798354 0.317745i
\(280\) 0.256371 + 3.31172i 0.0153211 + 0.197913i
\(281\) −17.4383 −1.04028 −0.520140 0.854081i \(-0.674120\pi\)
−0.520140 + 0.854081i \(0.674120\pi\)
\(282\) −10.7328 12.4116i −0.639130 0.739101i
\(283\) −22.7964 13.1615i −1.35510 0.782369i −0.366144 0.930558i \(-0.619322\pi\)
−0.988959 + 0.148189i \(0.952656\pi\)
\(284\) −4.60672 + 7.97907i −0.273358 + 0.473471i
\(285\) −7.00809 8.10428i −0.415123 0.480056i
\(286\) 1.18489 + 6.38715i 0.0700639 + 0.377680i
\(287\) −22.7365 10.8805i −1.34209 0.642256i
\(288\) −2.78735 + 1.10936i −0.164246 + 0.0653699i
\(289\) 5.96206 + 10.3266i 0.350710 + 0.607447i
\(290\) −4.15953 + 7.20452i −0.244256 + 0.423064i
\(291\) 2.43548 + 0.845679i 0.142770 + 0.0495746i
\(292\) −7.95079 13.7712i −0.465285 0.805897i
\(293\) 6.46090i 0.377450i −0.982030 0.188725i \(-0.939565\pi\)
0.982030 0.188725i \(-0.0604355\pi\)
\(294\) 7.84118 9.24748i 0.457307 0.539324i
\(295\) −6.96014 −0.405235
\(296\) −4.77663 + 2.75779i −0.277636 + 0.160293i
\(297\) −9.35262 + 0.417148i −0.542694 + 0.0242054i
\(298\) −4.17530 + 7.23183i −0.241869 + 0.418929i
\(299\) 21.4581 + 25.1157i 1.24095 + 1.45248i
\(300\) 1.11643 + 5.82420i 0.0644570 + 0.336260i
\(301\) 3.59277 7.50765i 0.207084 0.432734i
\(302\) 11.1760i 0.643104i
\(303\) −1.11191 + 0.961510i −0.0638773 + 0.0552373i
\(304\) −2.46356 + 4.26702i −0.141295 + 0.244730i
\(305\) −1.92047 + 3.32636i −0.109966 + 0.190467i
\(306\) 5.30442 + 4.18880i 0.303234 + 0.239458i
\(307\) −3.11265 −0.177648 −0.0888242 0.996047i \(-0.528311\pi\)
−0.0888242 + 0.996047i \(0.528311\pi\)
\(308\) 4.75263 0.367916i 0.270806 0.0209640i
\(309\) −10.4271 + 1.99874i −0.593176 + 0.113705i
\(310\) 5.20163 3.00316i 0.295433 0.170568i
\(311\) 6.28396 10.8841i 0.356330 0.617182i −0.631014 0.775771i \(-0.717361\pi\)
0.987345 + 0.158589i \(0.0506944\pi\)
\(312\) −0.938072 + 6.17414i −0.0531078 + 0.349542i
\(313\) −1.20941 + 0.698253i −0.0683598 + 0.0394676i −0.533790 0.845617i \(-0.679233\pi\)
0.465431 + 0.885084i \(0.345900\pi\)
\(314\) 7.54726i 0.425916i
\(315\) −5.55366 + 8.27382i −0.312913 + 0.466177i
\(316\) 0.647527 0.0364262
\(317\) −0.992390 1.71887i −0.0557382 0.0965414i 0.836810 0.547493i \(-0.184418\pi\)
−0.892548 + 0.450952i \(0.851085\pi\)
\(318\) 7.41107 21.3432i 0.415592 1.19687i
\(319\) 10.3392 + 5.96932i 0.578882 + 0.334218i
\(320\) −1.08726 + 0.627730i −0.0607797 + 0.0350911i
\(321\) −19.1130 + 3.66374i −1.06679 + 0.204490i
\(322\) 19.9947 13.7043i 1.11426 0.763710i
\(323\) 11.1007 0.617658
\(324\) −8.62513 2.57043i −0.479174 0.142801i
\(325\) 11.6374 + 4.11883i 0.645525 + 0.228472i
\(326\) −10.1935 5.88520i −0.564564 0.325951i
\(327\) 2.64044 + 3.05345i 0.146016 + 0.168856i
\(328\) 9.52690i 0.526035i
\(329\) 1.93453 + 24.9897i 0.106654 + 1.37773i
\(330\) −3.84778 + 0.737573i −0.211813 + 0.0406020i
\(331\) −1.38896 + 0.801918i −0.0763443 + 0.0440774i −0.537686 0.843145i \(-0.680701\pi\)
0.461342 + 0.887222i \(0.347368\pi\)
\(332\) 9.82961 + 5.67513i 0.539470 + 0.311463i
\(333\) −16.3735 2.38790i −0.897264 0.130856i
\(334\) 7.18880 4.15046i 0.393354 0.227103i
\(335\) 16.5843 0.906096
\(336\) 4.43213 + 1.16458i 0.241792 + 0.0635328i
\(337\) 19.0094 1.03551 0.517754 0.855529i \(-0.326768\pi\)
0.517754 + 0.855529i \(0.326768\pi\)
\(338\) 10.1056 + 8.17780i 0.549673 + 0.444814i
\(339\) −5.36213 + 15.4424i −0.291231 + 0.838718i
\(340\) 2.44956 + 1.41426i 0.132846 + 0.0766988i
\(341\) −4.30982 7.46483i −0.233390 0.404243i
\(342\) −13.7336 + 5.46598i −0.742629 + 0.295566i
\(343\) −18.0250 + 4.25424i −0.973260 + 0.229707i
\(344\) 3.14581 0.169611
\(345\) −15.0699 + 13.0315i −0.811336 + 0.701595i
\(346\) 9.17486 15.8913i 0.493243 0.854323i
\(347\) −22.0055 12.7049i −1.18132 0.682033i −0.224997 0.974359i \(-0.572237\pi\)
−0.956319 + 0.292326i \(0.905571\pi\)
\(348\) 7.50715 + 8.68140i 0.402425 + 0.465372i
\(349\) −16.8298 −0.900881 −0.450440 0.892807i \(-0.648733\pi\)
−0.450440 + 0.892807i \(0.648733\pi\)
\(350\) 3.91029 8.17114i 0.209014 0.436766i
\(351\) −13.6878 + 12.7924i −0.730599 + 0.682807i
\(352\) 0.900851 + 1.56032i 0.0480155 + 0.0831653i
\(353\) 11.7823 + 6.80251i 0.627109 + 0.362061i 0.779631 0.626239i \(-0.215406\pi\)
−0.152523 + 0.988300i \(0.548740\pi\)
\(354\) −3.14977 + 9.07102i −0.167408 + 0.482120i
\(355\) −10.0174 + 5.78355i −0.531668 + 0.306959i
\(356\) 12.8426i 0.680657i
\(357\) −2.72049 9.95954i −0.143984 0.527115i
\(358\) 3.98717i 0.210728i
\(359\) −14.3788 24.9048i −0.758884 1.31443i −0.943420 0.331600i \(-0.892412\pi\)
0.184536 0.982826i \(-0.440922\pi\)
\(360\) −3.72695 0.543534i −0.196428 0.0286468i
\(361\) −2.63830 + 4.56966i −0.138858 + 0.240509i
\(362\) −11.4443 + 6.60737i −0.601499 + 0.347276i
\(363\) −2.52835 13.1900i −0.132704 0.692293i
\(364\) 6.75288 6.73785i 0.353947 0.353159i
\(365\) 19.9638i 1.04495i
\(366\) 3.46608 + 4.00824i 0.181175 + 0.209514i
\(367\) −17.7774 10.2638i −0.927970 0.535764i −0.0418014 0.999126i \(-0.513310\pi\)
−0.886169 + 0.463362i \(0.846643\pi\)
\(368\) 7.93452 + 4.58100i 0.413615 + 0.238801i
\(369\) 17.7127 22.4302i 0.922087 1.16767i
\(370\) −6.92459 −0.359992
\(371\) −28.4671 + 19.5112i −1.47794 + 1.01297i
\(372\) −1.56001 8.13826i −0.0808825 0.421949i
\(373\) 6.93995 + 12.0203i 0.359337 + 0.622390i 0.987850 0.155409i \(-0.0496695\pi\)
−0.628513 + 0.777799i \(0.716336\pi\)
\(374\) 2.02959 3.51535i 0.104948 0.181775i
\(375\) −6.00862 + 17.3042i −0.310284 + 0.893587i
\(376\) −8.20429 + 4.73675i −0.423104 + 0.244279i
\(377\) 23.4907 4.35779i 1.20983 0.224437i
\(378\) 8.26984 + 10.9822i 0.425355 + 0.564866i
\(379\) 30.4541i 1.56432i −0.623075 0.782162i \(-0.714117\pi\)
0.623075 0.782162i \(-0.285883\pi\)
\(380\) −5.35707 + 3.09290i −0.274812 + 0.158663i
\(381\) −15.8059 5.48834i −0.809761 0.281176i
\(382\) 4.46998 + 2.58075i 0.228704 + 0.132042i
\(383\) 1.33536 0.770971i 0.0682338 0.0393948i −0.465495 0.885051i \(-0.654124\pi\)
0.533729 + 0.845656i \(0.320790\pi\)
\(384\) 0.326076 + 1.70108i 0.0166400 + 0.0868079i
\(385\) 5.39830 + 2.58335i 0.275123 + 0.131660i
\(386\) 3.20108i 0.162931i
\(387\) 7.40653 + 5.84879i 0.376495 + 0.297311i
\(388\) 0.744240 1.28906i 0.0377831 0.0654422i
\(389\) 24.9269 + 14.3916i 1.26385 + 0.729682i 0.973816 0.227336i \(-0.0730016\pi\)
0.290029 + 0.957018i \(0.406335\pi\)
\(390\) −4.89562 + 6.12404i −0.247899 + 0.310103i
\(391\) 20.6417i 1.04390i
\(392\) −4.39129 5.45129i −0.221794 0.275332i
\(393\) 6.33851 + 33.0668i 0.319735 + 1.66800i
\(394\) −1.76204 3.05195i −0.0887704 0.153755i
\(395\) 0.704030 + 0.406472i 0.0354236 + 0.0204518i
\(396\) −0.780022 + 5.34853i −0.0391976 + 0.268774i
\(397\) −6.83724 11.8425i −0.343151 0.594356i 0.641865 0.766818i \(-0.278161\pi\)
−0.985016 + 0.172462i \(0.944828\pi\)
\(398\) 10.3870i 0.520652i
\(399\) 21.8377 + 5.73801i 1.09325 + 0.287260i
\(400\) 3.42382 0.171191
\(401\) −16.5303 28.6313i −0.825483 1.42978i −0.901550 0.432676i \(-0.857569\pi\)
0.0760665 0.997103i \(-0.475764\pi\)
\(402\) 7.50511 21.6140i 0.374321 1.07801i
\(403\) −16.2611 5.75532i −0.810024 0.286693i
\(404\) 0.424346 + 0.734989i 0.0211120 + 0.0365671i
\(405\) −7.76422 8.20897i −0.385807 0.407907i
\(406\) −1.35312 17.4793i −0.0671544 0.867482i
\(407\) 9.93743i 0.492580i
\(408\) 2.95171 2.55246i 0.146131 0.126366i
\(409\) 0.635322 1.10041i 0.0314146 0.0544117i −0.849891 0.526959i \(-0.823332\pi\)
0.881305 + 0.472547i \(0.156665\pi\)
\(410\) 5.98031 10.3582i 0.295347 0.511555i
\(411\) −14.4453 + 12.4914i −0.712533 + 0.616156i
\(412\) 6.12968i 0.301988i
\(413\) 12.0987 8.29243i 0.595340 0.408044i
\(414\) 10.1640 + 25.5377i 0.499533 + 1.25511i
\(415\) 7.12489 + 12.3407i 0.349747 + 0.605780i
\(416\) 3.39894 + 1.20299i 0.166647 + 0.0589816i
\(417\) 5.16393 14.8716i 0.252879 0.728267i
\(418\) 4.43861 + 7.68789i 0.217099 + 0.376027i
\(419\) −12.8180 −0.626202 −0.313101 0.949720i \(-0.601368\pi\)
−0.313101 + 0.949720i \(0.601368\pi\)
\(420\) 4.08784 + 4.04837i 0.199466 + 0.197540i
\(421\) 24.3303i 1.18579i −0.805281 0.592894i \(-0.797985\pi\)
0.805281 0.592894i \(-0.202015\pi\)
\(422\) −3.81313 6.60453i −0.185620 0.321503i
\(423\) −28.1230 4.10142i −1.36739 0.199418i
\(424\) −11.2966 6.52211i −0.548613 0.316742i
\(425\) −3.85689 6.68032i −0.187086 0.324043i
\(426\) 3.00428 + 15.6728i 0.145558 + 0.759349i
\(427\) −0.624743 8.07026i −0.0302334 0.390547i
\(428\) 11.2358i 0.543104i
\(429\) 8.78857 + 7.02567i 0.424316 + 0.339203i
\(430\) 3.42031 + 1.97472i 0.164942 + 0.0952293i
\(431\) 6.41225 11.1063i 0.308867 0.534974i −0.669248 0.743039i \(-0.733383\pi\)
0.978115 + 0.208066i \(0.0667168\pi\)
\(432\) −2.39498 + 4.61130i −0.115229 + 0.221861i
\(433\) 24.6486i 1.18454i 0.805741 + 0.592268i \(0.201767\pi\)
−0.805741 + 0.592268i \(0.798233\pi\)
\(434\) −5.46392 + 11.4177i −0.262277 + 0.548066i
\(435\) 2.71265 + 14.1514i 0.130062 + 0.678507i
\(436\) 2.01838 1.16531i 0.0966629 0.0558083i
\(437\) 39.0944 + 22.5712i 1.87014 + 1.07972i
\(438\) −26.0184 9.03448i −1.24321 0.431684i
\(439\) 6.57463 3.79586i 0.313790 0.181167i −0.334831 0.942278i \(-0.608679\pi\)
0.648621 + 0.761111i \(0.275346\pi\)
\(440\) 2.26196i 0.107835i
\(441\) −0.203700 20.9990i −0.00970002 0.999953i
\(442\) −1.48166 7.98693i −0.0704756 0.379900i
\(443\) 20.0410 11.5707i 0.952176 0.549739i 0.0584201 0.998292i \(-0.481394\pi\)
0.893756 + 0.448553i \(0.148060\pi\)
\(444\) −3.13368 + 9.02469i −0.148718 + 0.428293i
\(445\) 8.06169 13.9632i 0.382161 0.661922i
\(446\) 0.0799060 + 0.138401i 0.00378366 + 0.00655349i
\(447\) 2.72293 + 14.2050i 0.128790 + 0.671875i
\(448\) 1.14208 2.38656i 0.0539584 0.112754i
\(449\) 20.1099 0.949047 0.474523 0.880243i \(-0.342620\pi\)
0.474523 + 0.880243i \(0.342620\pi\)
\(450\) 8.06109 + 6.36568i 0.380003 + 0.300081i
\(451\) −14.8650 8.58231i −0.699966 0.404125i
\(452\) 8.17345 + 4.71894i 0.384447 + 0.221960i
\(453\) −12.6616 14.6421i −0.594893 0.687945i
\(454\) 8.90849i 0.418096i
\(455\) 11.5717 3.08680i 0.542489 0.144712i
\(456\) 1.60662 + 8.38144i 0.0752369 + 0.392497i
\(457\) 29.4354 16.9945i 1.37693 0.794970i 0.385141 0.922858i \(-0.374153\pi\)
0.991789 + 0.127887i \(0.0408196\pi\)
\(458\) 2.78489 4.82358i 0.130130 0.225391i
\(459\) 11.6952 0.521630i 0.545883 0.0243476i
\(460\) 5.75125 + 9.96146i 0.268154 + 0.464456i
\(461\) 32.1844i 1.49898i 0.662016 + 0.749489i \(0.269701\pi\)
−0.662016 + 0.749489i \(0.730299\pi\)
\(462\) 5.80980 5.86643i 0.270296 0.272931i
\(463\) 31.4752i 1.46278i 0.681962 + 0.731388i \(0.261127\pi\)
−0.681962 + 0.731388i \(0.738873\pi\)
\(464\) 5.73855 3.31315i 0.266406 0.153809i
\(465\) 3.41249 9.82766i 0.158251 0.455747i
\(466\) 4.99084 + 2.88146i 0.231196 + 0.133481i
\(467\) −4.80726 8.32642i −0.222453 0.385301i 0.733099 0.680122i \(-0.238073\pi\)
−0.955552 + 0.294821i \(0.904740\pi\)
\(468\) 5.76587 + 9.15176i 0.266527 + 0.423040i
\(469\) −28.8283 + 19.7588i −1.33117 + 0.912377i
\(470\) −11.8936 −0.548610
\(471\) −8.55052 9.88797i −0.393987 0.455614i
\(472\) 4.80116 + 2.77195i 0.220991 + 0.127589i
\(473\) 2.83390 4.90847i 0.130303 0.225692i
\(474\) 0.848351 0.733603i 0.0389661 0.0336955i
\(475\) 16.8696 0.774031
\(476\) −5.94302 + 0.460067i −0.272398 + 0.0210872i
\(477\) −14.4708 36.3588i −0.662572 1.66476i
\(478\) 6.02639 + 10.4380i 0.275641 + 0.477424i
\(479\) 23.5767 + 13.6120i 1.07725 + 0.621948i 0.930152 0.367174i \(-0.119675\pi\)
0.147094 + 0.989123i \(0.453008\pi\)
\(480\) −0.713289 + 2.05420i −0.0325570 + 0.0937611i
\(481\) 12.9179 + 15.1198i 0.589006 + 0.689405i
\(482\) −14.8113 −0.674635
\(483\) 10.6698 40.6071i 0.485494 1.84769i
\(484\) −7.75387 −0.352449
\(485\) 1.61836 0.934363i 0.0734861 0.0424272i
\(486\) −14.2123 + 6.40406i −0.644681 + 0.290494i
\(487\) −9.99814 5.77243i −0.453059 0.261574i 0.256062 0.966660i \(-0.417575\pi\)
−0.709121 + 0.705087i \(0.750908\pi\)
\(488\) 2.64951 1.52970i 0.119938 0.0692462i
\(489\) −20.0224 + 3.83805i −0.905444 + 0.173563i
\(490\) −1.35254 8.68351i −0.0611015 0.392281i
\(491\) 8.30353i 0.374733i −0.982290 0.187367i \(-0.940005\pi\)
0.982290 0.187367i \(-0.0599952\pi\)
\(492\) −10.7933 12.4816i −0.486600 0.562713i
\(493\) −12.9288 7.46444i −0.582283 0.336181i
\(494\) 16.7470 + 5.92730i 0.753484 + 0.266682i
\(495\) −4.20551 + 5.32559i −0.189024 + 0.239368i
\(496\) −4.78417 −0.214816
\(497\) 10.5225 21.9884i 0.471999 0.986313i
\(498\) 19.3077 3.70105i 0.865199 0.165848i
\(499\) −8.26470 + 4.77163i −0.369979 + 0.213607i −0.673449 0.739234i \(-0.735188\pi\)
0.303470 + 0.952841i \(0.401855\pi\)
\(500\) 9.15888 + 5.28788i 0.409598 + 0.236481i
\(501\) 4.71616 13.5821i 0.210703 0.606804i
\(502\) −4.93524 8.54808i −0.220270 0.381519i
\(503\) −9.19561 −0.410012 −0.205006 0.978761i \(-0.565721\pi\)
−0.205006 + 0.978761i \(0.565721\pi\)
\(504\) 7.12609 3.49554i 0.317421 0.155704i
\(505\) 1.06550i 0.0474141i
\(506\) 14.2956 8.25359i 0.635518 0.366917i
\(507\) 22.5047 0.734893i 0.999467 0.0326377i
\(508\) −4.83001 + 8.36583i −0.214297 + 0.371174i
\(509\) −21.0228 + 12.1375i −0.931821 + 0.537987i −0.887387 0.461025i \(-0.847482\pi\)
−0.0444338 + 0.999012i \(0.514148\pi\)
\(510\) 4.81153 0.922311i 0.213058 0.0408406i
\(511\) 23.7852 + 34.7028i 1.05220 + 1.53516i
\(512\) 1.00000 0.0441942
\(513\) −11.8004 + 22.7204i −0.521000 + 1.00313i
\(514\) −4.00565 + 6.93799i −0.176682 + 0.306022i
\(515\) −3.84778 + 6.66455i −0.169553 + 0.293675i
\(516\) 4.12145 3.56398i 0.181437 0.156896i
\(517\) 17.0684i 0.750668i
\(518\) 12.0369 8.25008i 0.528872 0.362487i
\(519\) −5.98341 31.2143i −0.262643 1.37016i
\(520\) 2.94038 + 3.44158i 0.128944 + 0.150923i
\(521\) 11.6545 20.1861i 0.510591 0.884370i −0.489333 0.872097i \(-0.662760\pi\)
0.999925 0.0122733i \(-0.00390682\pi\)
\(522\) 19.6708 + 2.86877i 0.860969 + 0.125563i
\(523\) 26.9553 15.5627i 1.17867 0.680508i 0.222967 0.974826i \(-0.428426\pi\)
0.955707 + 0.294318i \(0.0950926\pi\)
\(524\) 19.4387 0.849184
\(525\) −4.13431 15.1354i −0.180436 0.660564i
\(526\) 10.5818i 0.461389i
\(527\) 5.38930 + 9.33454i 0.234761 + 0.406619i
\(528\) 2.94797 + 1.02364i 0.128294 + 0.0445480i
\(529\) 30.4710 52.7774i 1.32483 2.29467i
\(530\) −8.18825 14.1825i −0.355675 0.616047i
\(531\) 6.15021 + 15.4528i 0.266896 + 0.670594i
\(532\) 5.62719 11.7589i 0.243970 0.509811i
\(533\) −33.7735 + 6.26536i −1.46289 + 0.271383i
\(534\) −14.5498 16.8256i −0.629631 0.728116i
\(535\) −7.05306 + 12.2163i −0.304930 + 0.528155i
\(536\) −11.4400 6.60487i −0.494131 0.285287i
\(537\) −4.51718 5.22375i −0.194931 0.225421i
\(538\) 10.7670 0.464199
\(539\) −12.4617 + 1.94102i −0.536761 + 0.0836057i
\(540\) −5.49862 + 3.51027i −0.236623 + 0.151058i
\(541\) 2.26719 1.30896i 0.0974740 0.0562766i −0.450471 0.892791i \(-0.648744\pi\)
0.547945 + 0.836515i \(0.315410\pi\)
\(542\) 0.888146 1.53831i 0.0381491 0.0660762i
\(543\) −7.50795 + 21.6222i −0.322197 + 0.927897i
\(544\) −1.12649 1.95113i −0.0482977 0.0836540i
\(545\) 2.92600 0.125336
\(546\) 1.21371 16.4781i 0.0519421 0.705196i
\(547\) 23.2307 0.993272 0.496636 0.867959i \(-0.334568\pi\)
0.496636 + 0.867959i \(0.334568\pi\)
\(548\) 5.51288 + 9.54858i 0.235498 + 0.407895i
\(549\) 9.08211 + 1.32452i 0.387615 + 0.0565293i
\(550\) 3.08435 5.34226i 0.131517 0.227795i
\(551\) 28.2746 16.3243i 1.20454 0.695440i
\(552\) 15.5853 2.98751i 0.663354 0.127157i
\(553\) −1.70808 + 0.132228i −0.0726351 + 0.00562291i
\(554\) −16.6438 −0.707129
\(555\) −9.07218 + 7.84508i −0.385093 + 0.333005i
\(556\) −7.87134 4.54452i −0.333819 0.192730i
\(557\) 21.0588 36.4749i 0.892290 1.54549i 0.0551670 0.998477i \(-0.482431\pi\)
0.837123 0.547015i \(-0.184236\pi\)
\(558\) −11.2639 8.89488i −0.476839 0.376550i
\(559\) −2.06884 11.1521i −0.0875026 0.471684i
\(560\) 2.73985 1.87789i 0.115780 0.0793551i
\(561\) −1.32360 6.90499i −0.0558826 0.291529i
\(562\) 8.71914 + 15.1020i 0.367795 + 0.637039i
\(563\) 4.75102 8.22901i 0.200232 0.346811i −0.748371 0.663280i \(-0.769164\pi\)
0.948603 + 0.316469i \(0.102497\pi\)
\(564\) −5.38236 + 15.5007i −0.226638 + 0.652697i
\(565\) 5.92444 + 10.2614i 0.249243 + 0.431702i
\(566\) 26.3230i 1.10644i
\(567\) 23.2768 + 5.01913i 0.977533 + 0.210784i
\(568\) 9.21344 0.386587
\(569\) 23.5732 13.6100i 0.988238 0.570560i 0.0834912 0.996509i \(-0.473393\pi\)
0.904747 + 0.425949i \(0.140060\pi\)
\(570\) −3.51446 + 10.1213i −0.147205 + 0.423936i
\(571\) −10.1291 + 17.5442i −0.423891 + 0.734200i −0.996316 0.0857564i \(-0.972669\pi\)
0.572425 + 0.819957i \(0.306003\pi\)
\(572\) 4.93899 4.21972i 0.206510 0.176435i
\(573\) 8.78012 1.68304i 0.366795 0.0703101i
\(574\) 1.94544 + 25.1306i 0.0812010 + 1.04893i
\(575\) 31.3690i 1.30818i
\(576\) 2.35441 + 1.85923i 0.0981005 + 0.0774680i
\(577\) 10.6054 18.3692i 0.441511 0.764719i −0.556291 0.830987i \(-0.687776\pi\)
0.997802 + 0.0662687i \(0.0211095\pi\)
\(578\) 5.96206 10.3266i 0.247989 0.429530i
\(579\) −3.62660 4.19386i −0.150716 0.174291i
\(580\) 8.31906 0.345430
\(581\) −27.0880 12.9629i −1.12380 0.537793i
\(582\) −0.485358 2.53202i −0.0201187 0.104956i
\(583\) −20.3532 + 11.7509i −0.842942 + 0.486673i
\(584\) −7.95079 + 13.7712i −0.329006 + 0.569855i
\(585\) 0.524163 + 13.5697i 0.0216715 + 0.561040i
\(586\) −5.59531 + 3.23045i −0.231140 + 0.133449i
\(587\) 9.30051i 0.383873i −0.981407 0.191937i \(-0.938523\pi\)
0.981407 0.191937i \(-0.0614768\pi\)
\(588\) −11.9291 2.16692i −0.491950 0.0893624i
\(589\) −23.5722 −0.971276
\(590\) 3.48007 + 6.02766i 0.143272 + 0.248155i
\(591\) −5.76617 2.00221i −0.237188 0.0823598i
\(592\) 4.77663 + 2.75779i 0.196318 + 0.113345i
\(593\) −18.3797 + 10.6115i −0.754765 + 0.435764i −0.827413 0.561594i \(-0.810188\pi\)
0.0726480 + 0.997358i \(0.476855\pi\)
\(594\) 5.03757 + 7.89103i 0.206694 + 0.323773i
\(595\) −6.75040 3.23040i −0.276739 0.132433i
\(596\) 8.35060 0.342054
\(597\) 11.7677 + 13.6084i 0.481621 + 0.556955i
\(598\) 11.0218 31.1411i 0.450715 1.27345i
\(599\) −4.28246 2.47248i −0.174976 0.101023i 0.409954 0.912106i \(-0.365545\pi\)
−0.584930 + 0.811084i \(0.698878\pi\)
\(600\) 4.48569 3.87895i 0.183127 0.158358i
\(601\) 30.0304i 1.22496i 0.790484 + 0.612482i \(0.209829\pi\)
−0.790484 + 0.612482i \(0.790171\pi\)
\(602\) −8.29820 + 0.642389i −0.338209 + 0.0261818i
\(603\) −14.6544 36.8201i −0.596774 1.49943i
\(604\) −9.67867 + 5.58798i −0.393819 + 0.227372i
\(605\) −8.43047 4.86733i −0.342747 0.197885i
\(606\) 1.38864 + 0.482184i 0.0564098 + 0.0195874i
\(607\) −12.2846 + 7.09250i −0.498616 + 0.287876i −0.728142 0.685427i \(-0.759616\pi\)
0.229526 + 0.973303i \(0.426282\pi\)
\(608\) 4.92713 0.199821
\(609\) −21.5756 21.3673i −0.874287 0.865847i
\(610\) 3.84095 0.155515
\(611\) 22.1876 + 25.9696i 0.897615 + 1.05062i
\(612\) 0.975393 6.68816i 0.0394279 0.270353i
\(613\) 25.9439 + 14.9787i 1.04787 + 0.604985i 0.922051 0.387068i \(-0.126512\pi\)
0.125814 + 0.992054i \(0.459846\pi\)
\(614\) 1.55633 + 2.69563i 0.0628082 + 0.108787i
\(615\) −3.90008 20.3460i −0.157266 0.820429i
\(616\) −2.69494 3.93194i −0.108582 0.158423i
\(617\) −18.3153 −0.737348 −0.368674 0.929559i \(-0.620188\pi\)
−0.368674 + 0.929559i \(0.620188\pi\)
\(618\) 6.94450 + 8.03074i 0.279349 + 0.323044i
\(619\) 0.162214 0.280963i 0.00651994 0.0112929i −0.862747 0.505636i \(-0.831258\pi\)
0.869267 + 0.494343i \(0.164591\pi\)
\(620\) −5.20163 3.00316i −0.208903 0.120610i
\(621\) 42.2487 + 21.9428i 1.69538 + 0.880536i
\(622\) −12.5679 −0.503927
\(623\) 2.62252 + 33.8770i 0.105069 + 1.35725i
\(624\) 5.81600 2.27468i 0.232826 0.0910600i
\(625\) −1.92084 3.32699i −0.0768335 0.133079i
\(626\) 1.20941 + 0.698253i 0.0483377 + 0.0279078i
\(627\) 14.5250 + 5.04359i 0.580075 + 0.201421i
\(628\) −6.53612 + 3.77363i −0.260819 + 0.150584i
\(629\) 12.4264i 0.495475i
\(630\) 9.94217 + 0.672705i 0.396105 + 0.0268012i
\(631\) 38.0843i 1.51611i 0.652190 + 0.758056i \(0.273850\pi\)
−0.652190 + 0.758056i \(0.726150\pi\)
\(632\) −0.323763 0.560775i −0.0128786 0.0223064i
\(633\) −12.4782 4.33285i −0.495964 0.172215i
\(634\) −0.992390 + 1.71887i −0.0394128 + 0.0682651i
\(635\) −10.5030 + 6.06388i −0.416797 + 0.240638i
\(636\) −22.1893 + 4.25341i −0.879862 + 0.168659i
\(637\) −16.4373 + 19.1525i −0.651268 + 0.758848i
\(638\) 11.9386i 0.472655i
\(639\) 21.6922 + 17.1299i 0.858131 + 0.677649i
\(640\) 1.08726 + 0.627730i 0.0429777 + 0.0248132i
\(641\) 27.9073 + 16.1123i 1.10227 + 0.636396i 0.936816 0.349821i \(-0.113758\pi\)
0.165454 + 0.986217i \(0.447091\pi\)
\(642\) 12.7294 + 14.7205i 0.502390 + 0.580972i
\(643\) −44.5662 −1.75752 −0.878760 0.477264i \(-0.841628\pi\)
−0.878760 + 0.477264i \(0.841628\pi\)
\(644\) −21.8656 10.4638i −0.861625 0.412330i
\(645\) 6.71830 1.28782i 0.264533 0.0507078i
\(646\) −5.55034 9.61347i −0.218375 0.378237i
\(647\) −4.35837 + 7.54892i −0.171345 + 0.296779i −0.938890 0.344216i \(-0.888145\pi\)
0.767545 + 0.640995i \(0.221478\pi\)
\(648\) 2.08651 + 8.75480i 0.0819659 + 0.343921i
\(649\) 8.65026 4.99423i 0.339552 0.196041i
\(650\) −2.25167 12.1377i −0.0883179 0.476079i
\(651\) 5.77694 + 21.1490i 0.226416 + 0.828895i
\(652\) 11.7704i 0.460965i
\(653\) −17.3737 + 10.0307i −0.679884 + 0.392531i −0.799811 0.600252i \(-0.795067\pi\)
0.119928 + 0.992783i \(0.461734\pi\)
\(654\) 1.32414 3.81341i 0.0517781 0.149116i
\(655\) 21.1349 + 12.2023i 0.825810 + 0.476782i
\(656\) −8.25053 + 4.76345i −0.322129 + 0.185981i
\(657\) −44.3232 + 17.6406i −1.72921 + 0.688227i
\(658\) 20.6745 14.1702i 0.805975 0.552413i
\(659\) 26.2428i 1.02227i 0.859500 + 0.511136i \(0.170775\pi\)
−0.859500 + 0.511136i \(0.829225\pi\)
\(660\) 2.56265 + 2.96349i 0.0997509 + 0.115354i
\(661\) −15.1199 + 26.1885i −0.588098 + 1.01862i 0.406384 + 0.913703i \(0.366790\pi\)
−0.994481 + 0.104913i \(0.966544\pi\)
\(662\) 1.38896 + 0.801918i 0.0539836 + 0.0311674i
\(663\) −10.9898 8.78538i −0.426810 0.341196i
\(664\) 11.3503i 0.440475i
\(665\) 13.4996 9.25258i 0.523492 0.358800i
\(666\) 6.11879 + 15.3738i 0.237098 + 0.595725i
\(667\) −30.3551 52.5766i −1.17535 2.03577i
\(668\) −7.18880 4.15046i −0.278143 0.160586i
\(669\) 0.261487 + 0.0907971i 0.0101097 + 0.00351042i
\(670\) −8.29214 14.3624i −0.320353 0.554868i
\(671\) 5.51212i 0.212793i
\(672\) −1.20751 4.42062i −0.0465808 0.170529i
\(673\) −8.54206 −0.329272 −0.164636 0.986354i \(-0.552645\pi\)
−0.164636 + 0.986354i \(0.552645\pi\)
\(674\) −9.50471 16.4626i −0.366108 0.634117i
\(675\) 17.7730 0.792718i 0.684084 0.0305117i
\(676\) 2.02938 12.8406i 0.0780529 0.493870i
\(677\) −5.08564 8.80859i −0.195457 0.338542i 0.751593 0.659627i \(-0.229286\pi\)
−0.947050 + 0.321085i \(0.895952\pi\)
\(678\) 16.0546 3.07747i 0.616573 0.118190i
\(679\) −1.69997 + 3.55234i −0.0652388 + 0.136326i
\(680\) 2.82851i 0.108468i
\(681\) 10.0927 + 11.6714i 0.386753 + 0.447248i
\(682\) −4.30982 + 7.46483i −0.165032 + 0.285843i
\(683\) 13.6076 23.5691i 0.520682 0.901848i −0.479029 0.877799i \(-0.659011\pi\)
0.999711 0.0240486i \(-0.00765566\pi\)
\(684\) 11.6005 + 9.16068i 0.443556 + 0.350267i
\(685\) 13.8424i 0.528890i
\(686\) 12.6968 + 13.4830i 0.484766 + 0.514784i
\(687\) −1.81618 9.47466i −0.0692915 0.361481i
\(688\) −1.57290 2.72435i −0.0599664 0.103865i
\(689\) −15.6921 + 44.3366i −0.597822 + 1.68909i
\(690\) 18.8206 + 6.53514i 0.716488 + 0.248789i
\(691\) −23.0089 39.8526i −0.875300 1.51606i −0.856443 0.516242i \(-0.827330\pi\)
−0.0188577 0.999822i \(-0.506003\pi\)
\(692\) −18.3497 −0.697552
\(693\) 0.965394 14.2679i 0.0366723 0.541994i
\(694\) 25.4097i 0.964540i
\(695\) −5.70546 9.88214i −0.216420 0.374851i
\(696\) 3.76474 10.8421i 0.142702 0.410968i
\(697\) 18.5882 + 10.7319i 0.704079 + 0.406500i
\(698\) 8.41492 + 14.5751i 0.318509 + 0.551675i
\(699\) 9.80321 1.87916i 0.370791 0.0710762i
\(700\) −9.03156 + 0.699161i −0.341361 + 0.0264258i
\(701\) 19.8971i 0.751505i 0.926720 + 0.375752i \(0.122616\pi\)
−0.926720 + 0.375752i \(0.877384\pi\)
\(702\) 17.9224 + 5.45777i 0.676438 + 0.205990i
\(703\) 23.5351 + 13.5880i 0.887643 + 0.512481i
\(704\) 0.900851 1.56032i 0.0339521 0.0588067i
\(705\) −15.5823 + 13.4746i −0.586862 + 0.507483i
\(706\) 13.6050i 0.512032i
\(707\) −1.26945 1.85214i −0.0477427 0.0696571i
\(708\) 9.43062 1.80774i 0.354424 0.0679389i
\(709\) −13.9224 + 8.03812i −0.522868 + 0.301878i −0.738107 0.674683i \(-0.764280\pi\)
0.215239 + 0.976561i \(0.430947\pi\)
\(710\) 10.0174 + 5.78355i 0.375946 + 0.217053i
\(711\) 0.280338 1.92225i 0.0105135 0.0720899i
\(712\) −11.1220 + 6.42131i −0.416816 + 0.240649i
\(713\) 43.8325i 1.64154i
\(714\) −7.26497 + 7.33578i −0.271885 + 0.274535i
\(715\) 8.01881 1.48758i 0.299886 0.0556323i
\(716\) −3.45299 + 1.99358i −0.129044 + 0.0745037i
\(717\) 19.7210 + 6.84779i 0.736493 + 0.255735i
\(718\) −14.3788 + 24.9048i −0.536612 + 0.929439i
\(719\) 0.367826 + 0.637094i 0.0137176 + 0.0237596i 0.872803 0.488073i \(-0.162300\pi\)
−0.859085 + 0.511833i \(0.828967\pi\)
\(720\) 1.39276 + 3.49940i 0.0519052 + 0.130415i
\(721\) −1.25171 16.1692i −0.0466161 0.602173i
\(722\) 5.27659 0.196374
\(723\) −19.4049 + 16.7802i −0.721674 + 0.624061i
\(724\) 11.4443 + 6.60737i 0.425324 + 0.245561i
\(725\) −19.6478 11.3437i −0.729700 0.421293i
\(726\) −10.1587 + 8.78460i −0.377023 + 0.326027i
\(727\) 30.0123i 1.11310i −0.830815 0.556548i \(-0.812125\pi\)
0.830815 0.556548i \(-0.187875\pi\)
\(728\) −9.21159 2.47924i −0.341404 0.0918869i
\(729\) −11.3647 + 24.4917i −0.420915 + 0.907100i
\(730\) −17.2891 + 9.98189i −0.639900 + 0.369446i
\(731\) −3.54371 + 6.13788i −0.131069 + 0.227018i
\(732\) 1.73819 5.00584i 0.0642455 0.185021i
\(733\) 10.5944 + 18.3500i 0.391313 + 0.677774i 0.992623 0.121242i \(-0.0386876\pi\)
−0.601310 + 0.799016i \(0.705354\pi\)
\(734\) 20.5275i 0.757685i
\(735\) −11.6098 9.84428i −0.428235 0.363112i
\(736\) 9.16199i 0.337716i
\(737\) −20.6114 + 11.9000i −0.759231 + 0.438342i
\(738\) −28.2815 4.12454i −1.04106 0.151826i
\(739\) −27.6117 15.9416i −1.01571 0.586422i −0.102854 0.994696i \(-0.532797\pi\)
−0.912859 + 0.408274i \(0.866131\pi\)
\(740\) 3.46229 + 5.99687i 0.127276 + 0.220449i
\(741\) 28.6562 11.2076i 1.05271 0.411722i
\(742\) 31.1308 + 14.8976i 1.14285 + 0.546908i
\(743\) −52.2488 −1.91682 −0.958411 0.285393i \(-0.907876\pi\)
−0.958411 + 0.285393i \(0.907876\pi\)
\(744\) −6.26793 + 5.42013i −0.229794 + 0.198712i
\(745\) 9.07927 + 5.24192i 0.332639 + 0.192049i
\(746\) 6.93995 12.0203i 0.254090 0.440096i
\(747\) 21.1028 26.7232i 0.772110 0.977750i
\(748\) −4.05918 −0.148418
\(749\) −2.29441 29.6385i −0.0838359 1.08297i
\(750\) 17.9902 3.44851i 0.656910 0.125922i
\(751\) −1.47301 2.55132i −0.0537508 0.0930991i 0.837898 0.545827i \(-0.183784\pi\)
−0.891649 + 0.452728i \(0.850451\pi\)
\(752\) 8.20429 + 4.73675i 0.299180 + 0.172731i
\(753\) −16.1502 5.60791i −0.588547 0.204363i
\(754\) −15.5193 18.1647i −0.565180 0.661518i
\(755\) −14.0310 −0.510639
\(756\) 5.37598 12.6530i 0.195523 0.460186i
\(757\) −6.17064 −0.224276 −0.112138 0.993693i \(-0.535770\pi\)
−0.112138 + 0.993693i \(0.535770\pi\)
\(758\) −26.3741 + 15.2271i −0.957949 + 0.553072i
\(759\) 9.37855 27.0093i 0.340420 0.980376i
\(760\) 5.35707 + 3.09290i 0.194321 + 0.112191i
\(761\) 21.9711 12.6850i 0.796453 0.459833i −0.0457761 0.998952i \(-0.514576\pi\)
0.842230 + 0.539119i \(0.181243\pi\)
\(762\) 3.14991 + 16.4325i 0.114109 + 0.595286i
\(763\) −5.08624 + 3.48609i −0.184134 + 0.126205i
\(764\) 5.16149i 0.186736i
\(765\) 5.25886 6.65948i 0.190135 0.240774i
\(766\) −1.33536 0.770971i −0.0482486 0.0278563i
\(767\) 6.66927 18.8434i 0.240813 0.680396i
\(768\) 1.31014 1.13293i 0.0472756 0.0408811i
\(769\) 44.5230 1.60554 0.802771 0.596288i \(-0.203358\pi\)
0.802771 + 0.596288i \(0.203358\pi\)
\(770\) −0.461903 5.96674i −0.0166458 0.215026i
\(771\) 2.61230 + 13.6279i 0.0940796 + 0.490796i
\(772\) −2.77221 + 1.60054i −0.0997742 + 0.0576046i
\(773\) −6.36731 3.67617i −0.229016 0.132223i 0.381102 0.924533i \(-0.375545\pi\)
−0.610118 + 0.792310i \(0.708878\pi\)
\(774\) 1.36193 9.33864i 0.0489537 0.335670i
\(775\) 8.19007 + 14.1856i 0.294196