Properties

Label 546.2.bg.b.311.5
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 311.5
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.31014 - 1.13293i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.08726 - 0.627730i) q^{5} +(0.326076 - 1.70108i) q^{6} +(1.14208 - 2.38656i) q^{7} -1.00000 q^{8} +(0.432936 + 2.96860i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.31014 - 1.13293i) 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} +(0.432936 + 2.96860i) q^{9} +(1.08726 + 0.627730i) q^{10} +(-0.900851 + 1.56032i) q^{11} +(1.63622 - 0.568150i) 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} +(-2.35441 + 1.85923i) q^{18} +(-2.46356 - 4.26702i) q^{19} +1.25546i q^{20} +(-4.20009 + 1.83282i) q^{21} -1.80170 q^{22} +(7.93452 - 4.58100i) q^{23} +(1.31014 + 1.13293i) 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} +(-0.713289 - 2.05420i) q^{30} +(2.39209 - 4.14321i) q^{31} +(0.500000 - 0.866025i) q^{32} +(2.94797 - 1.02364i) 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} +(-3.15470 + 5.38961i) q^{39} +(-1.08726 + 0.627730i) q^{40} +9.52690i q^{41} +(-3.68732 - 2.72097i) q^{42} +3.14581 q^{43} +(-0.900851 - 1.56032i) q^{44} +(2.33419 + 2.95587i) 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} +(-3.68635 + 1.28002i) q^{51} +(3.39894 + 1.20299i) q^{52} +(11.2966 + 6.52211i) q^{53} +(5.19099 + 0.231530i) 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} +(1.42235 - 1.64483i) q^{60} +(2.64951 - 1.52970i) q^{61} +4.78417 q^{62} +(7.57917 + 2.35716i) q^{63} +1.00000 q^{64} +(-2.94038 - 3.44158i) q^{65} +(2.36048 + 2.04120i) 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} +(-0.432936 - 2.96860i) q^{72} +(-7.95079 + 13.7712i) q^{73} +(-4.77663 - 2.75779i) q^{74} +(5.60212 - 1.94524i) q^{75} +4.92713 q^{76} +(2.69494 + 3.93194i) q^{77} +(-6.24489 - 0.0372487i) q^{78} +(-0.323763 - 0.560775i) q^{79} +(-1.08726 - 0.627730i) q^{80} +(-8.62513 + 2.57043i) q^{81} +(-8.25053 + 4.76345i) q^{82} +11.3503i q^{83} +(0.512775 - 4.55380i) q^{84} -2.82851i q^{85} +(1.57290 + 2.72435i) q^{86} +(-7.50715 + 8.68140i) 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} +(-7.82794 + 2.71812i) q^{93} +(8.20429 + 4.73675i) q^{94} +(-5.35707 - 3.09290i) q^{95} +(-1.63622 + 0.568150i) 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
\(3\) −1.31014 1.13293i −0.756410 0.654098i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 1.08726 0.627730i 0.486237 0.280729i −0.236775 0.971565i \(-0.576090\pi\)
0.723012 + 0.690835i \(0.242757\pi\)
\(6\) 0.326076 1.70108i 0.133120 0.694463i
\(7\) 1.14208 2.38656i 0.431667 0.902033i
\(8\) −1.00000 −0.353553
\(9\) 0.432936 + 2.96860i 0.144312 + 0.989532i
\(10\) 1.08726 + 0.627730i 0.343822 + 0.198506i
\(11\) −0.900851 + 1.56032i −0.271617 + 0.470454i −0.969276 0.245976i \(-0.920892\pi\)
0.697659 + 0.716430i \(0.254225\pi\)
\(12\) 1.63622 0.568150i 0.472335 0.164011i
\(13\) −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 −0.696470 0.717586i \(-0.745247\pi\)
0.969683 + 0.244368i \(0.0785803\pi\)
\(18\) −2.35441 + 1.85923i −0.554940 + 0.438225i
\(19\) −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
\(21\) −4.20009 + 1.83282i −0.916535 + 0.399955i
\(22\) −1.80170 −0.384124
\(23\) 7.93452 4.58100i 1.65446 0.955204i 0.679256 0.733901i \(-0.262303\pi\)
0.975205 0.221302i \(-0.0710308\pi\)
\(24\) 1.31014 + 1.13293i 0.267431 + 0.231258i
\(25\) −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 \(-0.789060\pi\)
0.788342 0.615237i \(-0.210940\pi\)
\(30\) −0.713289 2.05420i −0.130228 0.375045i
\(31\) 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
\(33\) 2.94797 1.02364i 0.513177 0.178192i
\(34\) 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
\(39\) −3.15470 + 5.38961i −0.505157 + 0.863028i
\(40\) −1.08726 + 0.627730i −0.171911 + 0.0992528i
\(41\) 9.52690i 1.48785i 0.668262 + 0.743926i \(0.267038\pi\)
−0.668262 + 0.743926i \(0.732962\pi\)
\(42\) −3.68732 2.72097i −0.568965 0.419855i
\(43\) 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
\(45\) 2.33419 + 2.95587i 0.347960 + 0.440635i
\(46\) 7.93452 + 4.58100i 1.16988 + 0.675431i
\(47\) 8.20429 4.73675i 1.19672 0.690926i 0.236896 0.971535i \(-0.423870\pi\)
0.959822 + 0.280609i \(0.0905365\pi\)
\(48\) −0.326076 + 1.70108i −0.0470651 + 0.245530i
\(49\) −4.39129 5.45129i −0.627328 0.778756i
\(50\) −3.42382 −0.484202
\(51\) −3.68635 + 1.28002i −0.516192 + 0.179239i
\(52\) 3.39894 + 1.20299i 0.471349 + 0.166825i
\(53\) 11.2966 + 6.52211i 1.55171 + 0.895881i 0.998003 + 0.0631707i \(0.0201213\pi\)
0.553709 + 0.832710i \(0.313212\pi\)
\(54\) 5.19099 + 0.231530i 0.706404 + 0.0315072i
\(55\) 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 0.153778 0.988105i \(-0.450856\pi\)
−0.778836 + 0.627228i \(0.784189\pi\)
\(60\) 1.42235 1.64483i 0.183624 0.212346i
\(61\) 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
\(63\) 7.57917 + 2.35716i 0.954886 + 0.296974i
\(64\) 1.00000 0.125000
\(65\) −2.94038 3.44158i −0.364709 0.426876i
\(66\) 2.36048 + 2.04120i 0.290555 + 0.251255i
\(67\) −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 \(-0.684123\pi\)
−0.546717 + 0.837318i \(0.684123\pi\)
\(72\) −0.432936 2.96860i −0.0510220 0.349852i
\(73\) −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
\(75\) 5.60212 1.94524i 0.646877 0.224617i
\(76\) 4.92713 0.565180
\(77\) 2.69494 + 3.93194i 0.307117 + 0.448087i
\(78\) −6.24489 0.0372487i −0.707094 0.00421758i
\(79\) −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
\(81\) −8.62513 + 2.57043i −0.958348 + 0.285603i
\(82\) −8.25053 + 4.76345i −0.911119 + 0.526035i
\(83\) 11.3503i 1.24585i 0.782280 + 0.622926i \(0.214056\pi\)
−0.782280 + 0.622926i \(0.785944\pi\)
\(84\) 0.512775 4.55380i 0.0559483 0.496860i
\(85\) 2.82851i 0.306795i
\(86\) 1.57290 + 2.72435i 0.169611 + 0.293774i
\(87\) −7.50715 + 8.68140i −0.804851 + 0.930743i
\(88\) 0.900851 1.56032i 0.0960310 0.166331i
\(89\) 11.1220 6.42131i 1.17893 0.680657i 0.223165 0.974781i \(-0.428361\pi\)
0.955767 + 0.294124i \(0.0950277\pi\)
\(90\) −1.39276 + 3.49940i −0.146810 + 0.368869i
\(91\) −9.21159 2.47924i −0.965637 0.259895i
\(92\) 9.16199i 0.955204i
\(93\) −7.82794 + 2.71812i −0.811720 + 0.281856i
\(94\) 8.20429 + 4.73675i 0.846208 + 0.488558i
\(95\) −5.35707 3.09290i −0.549623 0.317325i
\(96\) −1.63622 + 0.568150i −0.166996 + 0.0579865i
\(97\) −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 −0.886365 0.462987i \(-0.846778\pi\)
0.844141 + 0.536121i \(0.180111\pi\)
\(102\) −2.95171 2.55246i −0.292263 0.252731i
\(103\) 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
\(105\) −3.41607 + 4.62927i −0.333374 + 0.451771i
\(106\) 13.0442i 1.26697i
\(107\) −9.73051 + 5.61791i −0.940684 + 0.543104i −0.890175 0.455620i \(-0.849418\pi\)
−0.0505092 + 0.998724i \(0.516084\pi\)
\(108\) 2.39498 + 4.61130i 0.230458 + 0.443722i
\(109\) −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 \(0.146413\pi\)
−0.896066 + 0.443921i \(0.853587\pi\)
\(114\) −8.06185 + 2.79935i −0.755061 + 0.262183i
\(115\) 5.75125 9.96146i 0.536307 0.928911i
\(116\) 5.73855 + 3.31315i 0.532811 + 0.307619i
\(117\) 10.2392 3.48708i 0.946610 0.322381i
\(118\) 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
\(123\) 10.7933 12.4816i 0.973200 1.12543i
\(124\) 2.39209 + 4.14321i 0.214816 + 0.372071i
\(125\) 10.5758i 0.945925i
\(126\) 1.74823 + 7.74233i 0.155744 + 0.689742i
\(127\) 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
\(129\) −4.12145 3.56398i −0.362874 0.313791i
\(130\) 1.51031 4.26723i 0.132463 0.374261i
\(131\) 9.71936 + 16.8344i 0.849184 + 1.47083i 0.881937 + 0.471367i \(0.156239\pi\)
−0.0327529 + 0.999463i \(0.510427\pi\)
\(132\) −0.587492 + 3.06484i −0.0511347 + 0.266760i
\(133\) −12.9971 + 1.00614i −1.12699 + 0.0872437i
\(134\) 13.2097i 1.14115i
\(135\) 0.290676 6.51708i 0.0250174 0.560901i
\(136\) −1.12649 + 1.95113i −0.0965953 + 0.167308i
\(137\) −5.51288 + 9.54858i −0.470997 + 0.815790i −0.999450 0.0331723i \(-0.989439\pi\)
0.528453 + 0.848963i \(0.322772\pi\)
\(138\) −5.20538 14.9910i −0.443112 1.27612i
\(139\) 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
\(144\) 2.35441 1.85923i 0.196201 0.154936i
\(145\) −4.15953 7.20452i −0.345430 0.598303i
\(146\) −15.9016 −1.31602
\(147\) −0.422721 + 12.1170i −0.0348655 + 0.999392i
\(148\) 5.51558i 0.453378i
\(149\) 4.17530 + 7.23183i 0.342054 + 0.592455i 0.984814 0.173613i \(-0.0555441\pi\)
−0.642760 + 0.766068i \(0.722211\pi\)
\(150\) 4.48569 + 3.87895i 0.366255 + 0.316715i
\(151\) 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
\(156\) −3.09019 5.42686i −0.247413 0.434496i
\(157\) 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
\(159\) −7.41107 21.3432i −0.587736 1.69262i
\(160\) 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
\(165\) 2.56265 2.96349i 0.199502 0.230707i
\(166\) −9.82961 + 5.67513i −0.762926 + 0.440475i
\(167\) 8.30092i 0.642344i −0.947021 0.321172i \(-0.895923\pi\)
0.947021 0.321172i \(-0.104077\pi\)
\(168\) 4.20009 1.83282i 0.324044 0.141405i
\(169\) −12.1350 + 4.66282i −0.933461 + 0.358678i
\(170\) 2.44956 1.41426i 0.187873 0.108468i
\(171\) 11.6005 9.16068i 0.887112 0.700534i
\(172\) −1.57290 + 2.72435i −0.119933 + 0.207730i
\(173\) −9.17486 15.8913i −0.697552 1.20819i −0.969313 0.245830i \(-0.920939\pi\)
0.271761 0.962365i \(-0.412394\pi\)
\(174\) −11.2719 2.16068i −0.854519 0.163801i
\(175\) 5.12127 + 7.47198i 0.387132 + 0.564829i
\(176\) 1.80170 0.135808
\(177\) 3.14977 + 9.07102i 0.236751 + 0.681820i
\(178\) 11.1220 + 6.42131i 0.833631 + 0.481297i
\(179\) −3.45299 1.99358i −0.258088 0.149007i 0.365374 0.930861i \(-0.380941\pi\)
−0.623462 + 0.781853i \(0.714275\pi\)
\(180\) −3.72695 + 0.543534i −0.277791 + 0.0405126i
\(181\) 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
\(186\) −6.26793 5.42013i −0.459587 0.397423i
\(187\) 2.02959 + 3.51535i 0.148418 + 0.257068i
\(188\) 9.47349i 0.690926i
\(189\) −7.25928 11.6749i −0.528035 0.849223i
\(190\) 6.18581i 0.448766i
\(191\) 4.46998 2.58075i 0.323437 0.186736i −0.329487 0.944160i \(-0.606876\pi\)
0.652923 + 0.757424i \(0.273542\pi\)
\(192\) −1.31014 1.13293i −0.0945512 0.0817622i
\(193\) 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
\(195\) −0.0467642 + 7.84020i −0.00334885 + 0.561448i
\(196\) 6.91660 1.07733i 0.494043 0.0769519i
\(197\) −3.52408 −0.251081 −0.125540 0.992089i \(-0.540066\pi\)
−0.125540 + 0.992089i \(0.540066\pi\)
\(198\) −0.780022 5.34853i −0.0554338 0.380103i
\(199\) −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
\(201\) 7.50511 + 21.6140i 0.529370 + 1.52453i
\(202\) −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
\(207\) 17.0343 + 21.5711i 1.18396 + 1.49930i
\(208\) −2.74129 + 2.34207i −0.190074 + 0.162394i
\(209\) 8.87721 0.614050
\(210\) −5.71710 0.643768i −0.394518 0.0444242i
\(211\) 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
\(213\) 12.0709 + 10.4382i 0.827084 + 0.715213i
\(214\) −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
\(219\) 26.0184 9.03448i 1.75816 0.610493i
\(220\) −1.95892 1.13098i −0.132070 0.0762507i
\(221\) −7.65772 2.71031i −0.515114 0.182315i
\(222\) 3.13368 + 9.02469i 0.210319 + 0.605697i
\(223\) −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 0.733681 0.679495i \(-0.237801\pi\)
−0.221619 + 0.975133i \(0.571134\pi\)
\(228\) −6.45523 5.58209i −0.427508 0.369683i
\(229\) 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
\(231\) 0.923868 8.20458i 0.0607860 0.539822i
\(232\) 6.62631i 0.435039i
\(233\) 4.99084 2.88146i 0.326961 0.188771i −0.327530 0.944841i \(-0.606216\pi\)
0.654491 + 0.756070i \(0.272883\pi\)
\(234\) 8.13948 + 7.12382i 0.532094 + 0.465699i
\(235\) 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 \(-0.372539\pi\)
0.389815 + 0.920893i \(0.372539\pi\)
\(240\) 0.713289 + 2.05420i 0.0460426 + 0.132598i
\(241\) 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
\(243\) 14.2123 + 6.40406i 0.911716 + 0.410820i
\(244\) 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
\(249\) 12.8591 14.8704i 0.814910 0.942375i
\(250\) −9.15888 + 5.28788i −0.579258 + 0.334435i
\(251\) −9.87047 −0.623019 −0.311509 0.950243i \(-0.600835\pi\)
−0.311509 + 0.950243i \(0.600835\pi\)
\(252\) −5.83094 + 5.38517i −0.367315 + 0.339234i
\(253\) 16.5072i 1.03780i
\(254\) 4.83001 + 8.36583i 0.303062 + 0.524919i
\(255\) −3.20451 + 3.70575i −0.200674 + 0.232063i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 4.00565 + 6.93799i 0.249866 + 0.432780i 0.963488 0.267750i \(-0.0862802\pi\)
−0.713623 + 0.700530i \(0.752947\pi\)
\(258\) 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
\(261\) 19.6708 2.86877i 1.21759 0.177572i
\(262\) −9.71936 + 16.8344i −0.600464 + 1.04003i
\(263\) −9.16411 5.29090i −0.565083 0.326251i 0.190100 0.981765i \(-0.439119\pi\)
−0.755183 + 0.655514i \(0.772452\pi\)
\(264\) −2.94797 + 1.02364i −0.181435 + 0.0630004i
\(265\) 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 −0.653924 0.756560i \(-0.726879\pi\)
0.982162 + 0.188035i \(0.0602119\pi\)
\(270\) 5.78929 3.00681i 0.352325 0.182988i
\(271\) 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
\(273\) 9.25966 + 13.6842i 0.560420 + 0.828208i
\(274\) −11.0258 −0.666090
\(275\) −3.08435 5.34226i −0.185993 0.322150i
\(276\) 10.3799 12.0035i 0.624797 0.722526i
\(277\) 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 \(-0.325880\pi\)
0.520140 + 0.854081i \(0.325880\pi\)
\(282\) −5.38236 15.5007i −0.320515 0.923053i
\(283\) −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
\(285\) 3.51446 + 10.1213i 0.208179 + 0.599535i
\(286\) 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
\(291\) 1.95012 + 1.68634i 0.114318 + 0.0988553i
\(292\) −7.95079 13.7712i −0.465285 0.805897i
\(293\) 6.46090i 0.377450i 0.982030 + 0.188725i \(0.0604355\pi\)
−0.982030 + 0.188725i \(0.939565\pi\)
\(294\) −10.7050 + 5.69240i −0.624327 + 0.331988i
\(295\) −6.96014 −0.405235
\(296\) 4.77663 2.75779i 0.277636 0.160293i
\(297\) 4.31505 + 8.30818i 0.250384 + 0.482089i
\(298\) −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
\(303\) 1.38864 0.482184i 0.0797756 0.0277008i
\(304\) −2.46356 + 4.26702i −0.141295 + 0.244730i
\(305\) 1.92047 3.32636i 0.109966 0.190467i
\(306\) 0.975393 + 6.68816i 0.0557595 + 0.382337i
\(307\) −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 −0.987345 0.158589i \(-0.949306\pi\)
0.631014 + 0.775771i \(0.282639\pi\)
\(312\) 3.15470 5.38961i 0.178600 0.305126i
\(313\) −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
\(315\) 9.72018 2.19483i 0.547670 0.123664i
\(316\) 0.647527 0.0364262
\(317\) 0.992390 + 1.71887i 0.0557382 + 0.0965414i 0.892548 0.450952i \(-0.148915\pi\)
−0.836810 + 0.547493i \(0.815582\pi\)
\(318\) 14.7782 17.0898i 0.828720 0.958347i
\(319\) 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
\(324\) 2.08651 8.75480i 0.115917 0.486378i
\(325\) 11.6374 + 4.11883i 0.645525 + 0.228472i
\(326\) 10.1935 + 5.88520i 0.564564 + 0.325951i
\(327\) 1.32414 + 3.81341i 0.0732253 + 0.210882i
\(328\) 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
\(333\) −10.2547 12.9860i −0.561957 0.711626i
\(334\) 7.18880 4.15046i 0.393354 0.227103i
\(335\) −16.5843 −0.906096
\(336\) 3.68732 + 2.72097i 0.201160 + 0.148441i
\(337\) 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
\(339\) 10.6925 12.3650i 0.580735 0.671572i
\(340\) 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
\(345\) −18.8206 + 6.53514i −1.01327 + 0.351840i
\(346\) 9.17486 15.8913i 0.493243 0.854323i
\(347\) 22.0055 + 12.7049i 1.18132 + 0.682033i 0.956319 0.292326i \(-0.0944293\pi\)
0.224997 + 0.974359i \(0.427763\pi\)
\(348\) −3.76474 10.8421i −0.201811 0.581197i
\(349\) −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
\(351\) −17.3654 7.03168i −0.926894 0.375323i
\(352\) 0.900851 + 1.56032i 0.0480155 + 0.0831653i
\(353\) −11.7823 6.80251i −0.627109 0.362061i 0.152523 0.988300i \(-0.451260\pi\)
−0.779631 + 0.626239i \(0.784594\pi\)
\(354\) −6.28086 + 7.26329i −0.333824 + 0.386039i
\(355\) −10.0174 + 5.78355i −0.531668 + 0.306959i
\(356\) 12.8426i 0.680657i
\(357\) −1.15527 + 10.2596i −0.0611432 + 0.542994i
\(358\) 3.98717i 0.210728i
\(359\) 14.3788 + 24.9048i 0.758884 + 1.31443i 0.943420 + 0.331600i \(0.107588\pi\)
−0.184536 + 0.982826i \(0.559078\pi\)
\(360\) −2.33419 2.95587i −0.123023 0.155788i
\(361\) −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
\(366\) −1.73819 5.00584i −0.0908569 0.261659i
\(367\) −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
\(369\) −28.2815 + 4.12454i −1.47228 + 0.214715i
\(370\) −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
\(375\) 11.9816 13.8557i 0.618728 0.715507i
\(376\) −8.20429 + 4.73675i −0.423104 + 0.244279i
\(377\) −23.4907 + 4.35779i −1.20983 + 0.224437i
\(378\) 6.48110 12.1242i 0.333352 0.623600i
\(379\) 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
\(381\) −12.6560 10.9441i −0.648386 0.560685i
\(382\) 4.46998 + 2.58075i 0.228704 + 0.132042i
\(383\) −1.33536 + 0.770971i −0.0682338 + 0.0393948i −0.533729 0.845656i \(-0.679210\pi\)
0.465495 + 0.885051i \(0.345876\pi\)
\(384\) 0.326076 1.70108i 0.0166400 0.0868079i
\(385\) 5.39830 + 2.58335i 0.275123 + 0.131660i
\(386\) 3.20108i 0.162931i
\(387\) 1.36193 + 9.33864i 0.0692310 + 0.474710i
\(388\) 0.744240 1.28906i 0.0377831 0.0654422i
\(389\) −24.9269 14.3916i −1.26385 0.729682i −0.290029 0.957018i \(-0.593665\pi\)
−0.973816 + 0.227336i \(0.926998\pi\)
\(390\) −6.81319 + 3.87960i −0.345000 + 0.196451i
\(391\) 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
\(396\) 4.24195 3.34978i 0.213166 0.168333i
\(397\) −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
\(399\) 18.1679 + 13.4066i 0.909532 + 0.671169i
\(400\) 3.42382 0.171191
\(401\) 16.5303 + 28.6313i 0.825483 + 1.42978i 0.901550 + 0.432676i \(0.142431\pi\)
−0.0760665 + 0.997103i \(0.524236\pi\)
\(402\) −14.9657 + 17.3066i −0.746422 + 0.863176i
\(403\) −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
\(408\) 3.68635 1.28002i 0.182501 0.0633707i
\(409\) 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
\(411\) 18.0405 6.26428i 0.889873 0.308994i
\(412\) 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
\(417\) 10.2972 11.9079i 0.504258 0.583133i
\(418\) 4.43861 + 7.68789i 0.217099 + 0.376027i
\(419\) 12.8180 0.626202 0.313101 0.949720i \(-0.398632\pi\)
0.313101 + 0.949720i \(0.398632\pi\)
\(420\) −2.30103 5.27304i −0.112279 0.257298i
\(421\) 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
\(423\) 17.6134 + 22.3045i 0.856394 + 1.08448i
\(424\) −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
\(429\) −5.56759 9.77757i −0.268806 0.472066i
\(430\) 3.42031 + 1.97472i 0.164942 + 0.0952293i
\(431\) −6.41225 + 11.1063i −0.308867 + 0.534974i −0.978115 0.208066i \(-0.933283\pi\)
0.669248 + 0.743039i \(0.266617\pi\)
\(432\) −5.19099 0.231530i −0.249752 0.0111395i
\(433\) 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
\(438\) 20.8333 + 18.0154i 0.995454 + 0.860808i
\(439\) 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
\(441\) 14.2815 15.3960i 0.680073 0.733145i
\(442\) −1.48166 7.98693i −0.0704756 0.379900i
\(443\) −20.0410 + 11.5707i −0.952176 + 0.549739i −0.893756 0.448553i \(-0.851940\pi\)
−0.0584201 + 0.998292i \(0.518606\pi\)
\(444\) −6.24877 + 7.22619i −0.296554 + 0.342940i
\(445\) 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 \(-0.657380\pi\)
−0.474523 + 0.880243i \(0.657380\pi\)
\(450\) −1.48230 10.1639i −0.0698762 0.479133i
\(451\) −14.8650 8.58231i −0.699966 0.404125i
\(452\) −8.17345 4.71894i −0.384447 0.221960i
\(453\) −6.34962 18.2863i −0.298331 0.859165i
\(454\) 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
\(459\) −5.39583 10.3891i −0.251856 0.484922i
\(460\) 5.75125 + 9.96146i 0.268154 + 0.464456i
\(461\) 32.1844i 1.49898i −0.662016 0.749489i \(-0.730299\pi\)
0.662016 0.749489i \(-0.269701\pi\)
\(462\) 7.56731 3.30220i 0.352063 0.153632i
\(463\) 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
\(465\) −6.80475 + 7.86914i −0.315563 + 0.364922i
\(466\) 4.99084 + 2.88146i 0.231196 + 0.133481i
\(467\) 4.80726 + 8.32642i 0.222453 + 0.385301i 0.955552 0.294821i \(-0.0952601\pi\)
−0.733099 + 0.680122i \(0.761927\pi\)
\(468\) −2.09967 + 10.6109i −0.0970574 + 0.490489i
\(469\) −28.8283 + 19.7588i −1.33117 + 0.912377i
\(470\) 11.8936 0.548610
\(471\) −4.28797 12.3490i −0.197579 0.569010i
\(472\) 4.80116 + 2.77195i 0.220991 + 0.127589i
\(473\) −2.83390 + 4.90847i −0.130303 + 0.225692i
\(474\) −1.05949 + 0.367892i −0.0486642 + 0.0168978i
\(475\) 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 −0.147094 0.989123i \(-0.546992\pi\)
−0.930152 + 0.367174i \(0.880325\pi\)
\(480\) −1.42235 + 1.64483i −0.0649210 + 0.0750758i
\(481\) 12.9179 + 15.1198i 0.589006 + 0.689405i
\(482\) 14.8113 0.674635
\(483\) −24.9295 + 33.7832i −1.13433 + 1.53719i
\(484\) −7.75387 −0.352449
\(485\) −1.61836 + 0.934363i −0.0734861 + 0.0424272i
\(486\) 1.56005 + 15.5102i 0.0707653 + 0.703557i
\(487\) −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 \(0.0599952\pi\)
−0.982290 + 0.187367i \(0.940005\pi\)
\(492\) 5.41270 + 15.5881i 0.244023 + 0.702764i
\(493\) −12.9288 7.46444i −0.582283 0.336181i
\(494\) −16.7470 5.92730i −0.753484 0.266682i
\(495\) −6.71485 + 0.979286i −0.301810 + 0.0440156i
\(496\) −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
\(501\) −9.40436 + 10.8754i −0.420156 + 0.485876i
\(502\) −4.93524 8.54808i −0.220270 0.381519i
\(503\) 9.19561 0.410012 0.205006 0.978761i \(-0.434279\pi\)
0.205006 + 0.978761i \(0.434279\pi\)
\(504\) −7.57917 2.35716i −0.337603 0.104996i
\(505\) 1.06550i 0.0474141i
\(506\) −14.2956 + 8.25359i −0.635518 + 0.366917i
\(507\) 21.1812 + 7.63916i 0.940690 + 0.339267i
\(508\) −4.83001 + 8.36583i −0.214297 + 0.371174i
\(509\) 21.0228 12.1375i 0.931821 0.537987i 0.0444338 0.999012i \(-0.485852\pi\)
0.887387 + 0.461025i \(0.152518\pi\)
\(510\) −4.81153 0.922311i −0.213058 0.0408406i
\(511\) 23.7852 + 34.7028i 1.05220 + 1.53516i
\(512\) −1.00000 −0.0441942
\(513\) −25.5767 1.14078i −1.12924 0.0503666i
\(514\) −4.00565 + 6.93799i −0.176682 + 0.306022i
\(515\) 3.84778 6.66455i 0.169553 0.293675i
\(516\) 5.14723 1.78729i 0.226594 0.0786811i
\(517\) 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 \(0.337240\pi\)
−0.999925 + 0.0122733i \(0.996093\pi\)
\(522\) 12.3198 + 15.6011i 0.539225 + 0.682840i
\(523\) 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
\(525\) 1.75565 15.5914i 0.0766229 0.680464i
\(526\) 10.5818i 0.461389i
\(527\) −5.38930 9.33454i −0.234761 0.406619i
\(528\) −2.36048 2.04120i −0.102727 0.0888320i
\(529\) 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
\(534\) −7.29652 21.0133i −0.315752 0.909334i
\(535\) −7.05306 + 12.2163i −0.304930 + 0.528155i
\(536\) 11.4400 + 6.60487i 0.494131 + 0.285287i
\(537\) 2.26531 + 6.52387i 0.0977552 + 0.281526i
\(538\) 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
\(543\) −14.9714 + 17.3132i −0.642484 + 0.742979i
\(544\) −1.12649 1.95113i −0.0482977 0.0836540i
\(545\) −2.92600 −0.125336
\(546\) −7.22108 + 14.8612i −0.309033 + 0.636002i
\(547\) 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
\(549\) 5.68813 + 7.20308i 0.242763 + 0.307420i
\(550\) 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
\(555\) 11.3301 3.93420i 0.480937 0.166998i
\(556\) −7.87134 4.54452i −0.333819 0.192730i
\(557\) −21.0588 + 36.4749i −0.892290 + 1.54549i −0.0551670 + 0.998477i \(0.517569\pi\)
−0.837123 + 0.547015i \(0.815764\pi\)
\(558\) 2.07124 + 14.2023i 0.0876826 + 0.601230i
\(559\) −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 −0.948603 0.316469i \(-0.897503\pi\)
0.748371 + 0.663280i \(0.230836\pi\)
\(564\) 10.7328 12.4116i 0.451933 0.522623i
\(565\) 5.92444 + 10.2614i 0.249243 + 0.431702i
\(566\) 26.3230i 1.10644i
\(567\) −3.71615 + 23.5200i −0.156064 + 0.987747i
\(568\) 9.21344 0.386587
\(569\) −23.5732 + 13.6100i −0.988238 + 0.570560i −0.904747 0.425949i \(-0.859940\pi\)
−0.0834912 + 0.996509i \(0.526607\pi\)
\(570\) −7.00809 + 8.10428i −0.293537 + 0.339451i
\(571\) −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
\(576\) 0.432936 + 2.96860i 0.0180390 + 0.123692i
\(577\) 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
\(579\) −1.81869 5.23766i −0.0755822 0.217670i
\(580\) 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
\(585\) 8.94367 10.2188i 0.369775 0.422495i
\(586\) −5.59531 + 3.23045i −0.231140 + 0.133449i
\(587\) 9.30051i 0.383873i 0.981407 + 0.191937i \(0.0614768\pi\)
−0.981407 + 0.191937i \(0.938523\pi\)
\(588\) −10.2823 6.42458i −0.424033 0.264945i
\(589\) −23.5722 −0.971276
\(590\) −3.48007 6.02766i −0.143272 0.248155i
\(591\) 4.61705 + 3.99254i 0.189920 + 0.164231i
\(592\) 4.77663 + 2.75779i 0.196318 + 0.113345i
\(593\) 18.3797 10.6115i 0.754765 0.435764i −0.0726480 0.997358i \(-0.523145\pi\)
0.827413 + 0.561594i \(0.189812\pi\)
\(594\) −5.03757 + 7.89103i −0.206694 + 0.323773i
\(595\) −6.75040 3.23040i −0.276739 0.132433i
\(596\) −8.35060 −0.342054
\(597\) 5.90136 + 16.9954i 0.241527 + 0.695574i
\(598\) 11.0218 31.1411i 0.450715 1.27345i
\(599\) 4.28246 + 2.47248i 0.174976 + 0.101023i 0.584930 0.811084i \(-0.301122\pi\)
−0.409954 + 0.912106i \(0.634455\pi\)
\(600\) −5.60212 + 1.94524i −0.228705 + 0.0794142i
\(601\) 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
\(606\) 1.11191 + 0.961510i 0.0451681 + 0.0390587i
\(607\) −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
\(609\) 12.1448 + 27.8311i 0.492134 + 1.12777i
\(610\) 3.84095 0.155515
\(611\) −22.1876 25.9696i −0.897615 1.05062i
\(612\) −5.30442 + 4.18880i −0.214419 + 0.169322i
\(613\) 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 \(-0.379812\pi\)
0.368674 + 0.929559i \(0.379812\pi\)
\(618\) −3.48257 10.0295i −0.140090 0.403445i
\(619\) 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
\(621\) 2.12128 47.5598i 0.0851239 1.90851i
\(622\) −12.5679 −0.503927
\(623\) −2.62252 33.8770i −0.105069 1.35725i
\(624\) 6.24489 + 0.0372487i 0.249996 + 0.00149114i
\(625\) −1.92084 3.32699i −0.0768335 0.133079i
\(626\) −1.20941 0.698253i −0.0483377 0.0279078i
\(627\) −11.6304 10.0573i −0.464473 0.401649i
\(628\) −6.53612 + 3.77363i −0.260819 + 0.150584i
\(629\) 12.4264i 0.495475i
\(630\) 6.76087 + 7.32051i 0.269359 + 0.291656i
\(631\) 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
\(633\) −9.99146 8.64002i −0.397125 0.343410i
\(634\) −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
\(639\) −3.98883 27.3510i −0.157796 1.08199i
\(640\) 1.08726 + 0.627730i 0.0429777 + 0.0248132i
\(641\) −27.9073 16.1123i −1.10227 0.636396i −0.165454 0.986217i \(-0.552909\pi\)
−0.936816 + 0.349821i \(0.886242\pi\)
\(642\) 6.38363 + 18.3842i 0.251942 + 0.725568i
\(643\) −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 −0.767545 0.640995i \(-0.778522\pi\)
0.938890 + 0.344216i \(0.111855\pi\)
\(648\) 8.62513 2.57043i 0.338827 0.100976i
\(649\) 8.65026 4.99423i 0.339552 0.196041i
\(650\) 2.25167 + 12.1377i 0.0883179 + 0.476079i
\(651\) −2.45320 + 21.7861i −0.0961486 + 0.853866i
\(652\) 11.7704i 0.460965i
\(653\) 17.3737 10.0307i 0.679884 0.392531i −0.119928 0.992783i \(-0.538266\pi\)
0.799811 + 0.600252i \(0.204933\pi\)
\(654\) −2.64044 + 3.05345i −0.103249 + 0.119399i
\(655\) 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 \(-0.829225\pi\)
0.859500 0.511136i \(-0.170775\pi\)
\(660\) 1.28513 + 3.70106i 0.0500237 + 0.144064i
\(661\) −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
\(663\) 6.96210 + 12.2265i 0.270385 + 0.474840i
\(664\) 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
\(669\) 0.209376 + 0.181056i 0.00809495 + 0.00700002i
\(670\) −8.29214 14.3624i −0.320353 0.554868i
\(671\) 5.51212i 0.212793i
\(672\) −0.512775 + 4.55380i −0.0197807 + 0.175667i
\(673\) −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
\(675\) 8.20000 + 15.7883i 0.315618 + 0.607690i
\(676\) 2.02938 12.8406i 0.0780529 0.493870i
\(677\) 5.08564 + 8.80859i 0.195457 + 0.338542i 0.947050 0.321085i \(-0.104048\pi\)
−0.751593 + 0.659627i \(0.770714\pi\)
\(678\) 16.0546 + 3.07747i 0.616573 + 0.118190i
\(679\) −1.69997 + 3.55234i −0.0652388 + 0.136326i
\(680\) 2.82851i 0.108468i
\(681\) −5.06136 14.5762i −0.193952 0.558562i
\(682\) −4.30982 + 7.46483i −0.165032 + 0.285843i
\(683\) −13.6076 + 23.5691i −0.520682 + 0.901848i 0.479029 + 0.877799i \(0.340989\pi\)
−0.999711 + 0.0240486i \(0.992344\pi\)
\(684\) 2.13313 + 14.6267i 0.0815624 + 0.559264i
\(685\) 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
\(690\) −15.0699 13.0315i −0.573701 0.496102i
\(691\) −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
\(693\) −10.5056 + 9.70248i −0.399075 + 0.368567i
\(694\) 25.4097i 0.964540i
\(695\) 5.70546 + 9.88214i 0.216420 + 0.374851i
\(696\) 7.50715 8.68140i 0.284558 0.329067i
\(697\) 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 \(-0.877384\pi\)
0.926720 0.375752i \(-0.122616\pi\)
\(702\) −2.59306 18.5547i −0.0978688 0.700301i
\(703\) 23.5351 + 13.5880i 0.887643 + 0.512481i
\(704\) −0.900851 + 1.56032i −0.0339521 + 0.0588067i
\(705\) −19.4605 + 6.75734i −0.732924 + 0.254496i
\(706\) 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
\(711\) 1.52454 1.20390i 0.0571749 0.0451499i
\(712\) −11.1220 + 6.42131i −0.416816 + 0.240649i
\(713\) 43.8325i 1.64154i
\(714\) −9.46268 + 4.12929i −0.354132 + 0.154535i
\(715\) 8.01881 1.48758i 0.299886 0.0556323i
\(716\) 3.45299 1.99358i 0.129044 0.0745037i
\(717\) −15.7908 13.6550i −0.589720 0.509954i
\(718\) −14.3788 + 24.9048i −0.536612 + 0.929439i
\(719\) −0.367826 0.637094i −0.0137176 0.0237596i 0.859085 0.511833i \(-0.171033\pi\)
−0.872803 + 0.488073i \(0.837700\pi\)
\(720\) 1.39276 3.49940i 0.0519052 0.130415i
\(721\) −1.25171 16.1692i −0.0466161 0.602173i
\(722\) −5.27659 −0.196374
\(723\) −24.2345 + 8.41502i −0.901290 + 0.312958i
\(724\) 11.4443 + 6.60737i 0.425324 + 0.245561i
\(725\) 19.6478 + 11.3437i 0.729700 + 0.421293i
\(726\) 12.6870 4.40536i 0.470859 0.163498i
\(727\) 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
\(732\) 3.46608 4.00824i 0.128110 0.148149i
\(733\) 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
\(735\) 7.14658 + 13.4397i 0.263606 + 0.495729i
\(736\) 9.16199i 0.337716i
\(737\) 20.6114 11.9000i 0.759231 0.438342i
\(738\) −17.7127 22.4302i −0.652014 0.825668i
\(739\) −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
\(741\) 30.7694 + 0.183529i 1.13034 + 0.00674210i
\(742\) 31.1308 + 14.8976i 1.14285 + 0.546908i
\(743\) 52.2488 1.91682 0.958411 0.285393i \(-0.0921240\pi\)
0.958411 + 0.285393i \(0.0921240\pi\)
\(744\) 7.82794 2.71812i 0.286986 0.0996513i
\(745\) 9.07927 + 5.24192i 0.332639 + 0.192049i
\(746\) −6.93995 + 12.0203i −0.254090 + 0.440096i
\(747\) −33.6943 + 4.91394i −1.23281 + 0.179792i
\(748\) −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
\(753\) 12.9317 + 11.1826i 0.471258 + 0.407515i
\(754\) −15.5193 18.1647i −0.565180 0.661518i
\(755\) 14.0310 0.510639
\(756\) 13.7404 0.449282i 0.499733 0.0163402i
\(757\) −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
\(759\) 18.7015 21.6267i 0.678821 0.785000i
\(760\) 5.35707 + 3.09290i 0.194321 + 0.112191i
\(761\) −21.9711 + 12.6850i −0.796453 + 0.459833i −0.842230 0.539119i \(-0.818757\pi\)
0.0457761 + 0.998952i \(0.485424\pi\)
\(762\) 3.14991 16.4325i 0.114109 0.595286i
\(763\) −5.08624 + 3.48609i −0.184134 + 0.126205i
\(764\) 5.16149i 0.186736i
\(765\) 8.39671 1.22457i 0.303584 0.0442743i
\(766\) −1.33536 0.770971i −0.0482486 0.0278563i
\(767\) −6.66927 + 18.8434i −0.240813 + 0.680396i
\(768\) 1.63622 0.568150i 0.0590419 0.0205013i
\(769\) 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 0.610118 0.792310i \(-0.291122\pi\)
−0.381102 + 0.924533i \(0.624455\pi\)
\(774\) −7.40653 + 5.84879i −0.266222 + 0.210230i
\(775\) 8.19007 + 14.1856i