Properties

Label 273.2.cg.a.124.2
Level $273$
Weight $2$
Character 273.124
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 124.2
Character \(\chi\) \(=\) 273.124
Dual form 273.2.cg.a.262.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.478662 + 1.78639i) q^{2} +1.00000i q^{3} +(-1.23003 - 0.710156i) q^{4} +(-0.0199621 - 0.0744995i) q^{5} +(-1.78639 - 0.478662i) q^{6} +(1.85948 + 1.88211i) q^{7} +(-0.758075 + 0.758075i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.478662 + 1.78639i) q^{2} +1.00000i q^{3} +(-1.23003 - 0.710156i) q^{4} +(-0.0199621 - 0.0744995i) q^{5} +(-1.78639 - 0.478662i) q^{6} +(1.85948 + 1.88211i) q^{7} +(-0.758075 + 0.758075i) q^{8} -1.00000 q^{9} +0.142640 q^{10} +(-0.492391 + 0.492391i) q^{11} +(0.710156 - 1.23003i) q^{12} +(-2.39818 + 2.69235i) q^{13} +(-4.25225 + 2.42086i) q^{14} +(0.0744995 - 0.0199621i) q^{15} +(-2.41167 - 4.17713i) q^{16} +(-0.618653 + 1.07154i) q^{17} +(0.478662 - 1.78639i) q^{18} +(3.98252 - 3.98252i) q^{19} +(-0.0283524 + 0.105813i) q^{20} +(-1.88211 + 1.85948i) q^{21} +(-0.643914 - 1.11529i) q^{22} +(-6.38284 + 3.68514i) q^{23} +(-0.758075 - 0.758075i) q^{24} +(4.32498 - 2.49703i) q^{25} +(-3.66167 - 5.57281i) q^{26} -1.00000i q^{27} +(-0.950615 - 3.63557i) q^{28} +(1.84462 - 3.19498i) q^{29} +0.142640i q^{30} +(8.76813 + 2.34941i) q^{31} +(6.54527 - 1.75380i) q^{32} +(-0.492391 - 0.492391i) q^{33} +(-1.61806 - 1.61806i) q^{34} +(0.103097 - 0.176101i) q^{35} +(1.23003 + 0.710156i) q^{36} +(-4.44832 - 1.19192i) q^{37} +(5.20806 + 9.02063i) q^{38} +(-2.69235 - 2.39818i) q^{39} +(0.0716090 + 0.0413434i) q^{40} +(0.231836 + 0.865225i) q^{41} +(-2.42086 - 4.25225i) q^{42} +(-2.14988 + 1.24124i) q^{43} +(0.955327 - 0.255979i) q^{44} +(0.0199621 + 0.0744995i) q^{45} +(-3.52787 - 13.1662i) q^{46} +(0.404685 - 0.108435i) q^{47} +(4.17713 - 2.41167i) q^{48} +(-0.0846832 + 6.99949i) q^{49} +(2.39046 + 8.92133i) q^{50} +(-1.07154 - 0.618653i) q^{51} +(4.86181 - 1.60858i) q^{52} +(5.75319 + 9.96481i) q^{53} +(1.78639 + 0.478662i) q^{54} +(0.0465120 + 0.0268537i) q^{55} +(-2.83640 - 0.0171575i) q^{56} +(3.98252 + 3.98252i) q^{57} +(4.82454 + 4.82454i) q^{58} +(13.5288 - 3.62504i) q^{59} +(-0.105813 - 0.0283524i) q^{60} +6.50300i q^{61} +(-8.39395 + 14.5387i) q^{62} +(-1.85948 - 1.88211i) q^{63} +2.88522i q^{64} +(0.248451 + 0.124918i) q^{65} +(1.11529 - 0.643914i) q^{66} +(-1.47547 - 1.47547i) q^{67} +(1.52192 - 0.878680i) q^{68} +(-3.68514 - 6.38284i) q^{69} +(0.265237 + 0.268465i) q^{70} +(0.119329 - 0.445340i) q^{71} +(0.758075 - 0.758075i) q^{72} +(-1.31625 + 4.91231i) q^{73} +(4.25848 - 7.37591i) q^{74} +(2.49703 + 4.32498i) q^{75} +(-7.72682 + 2.07040i) q^{76} +(-1.84232 - 0.0111443i) q^{77} +(5.57281 - 3.66167i) q^{78} +(3.26395 - 5.65332i) q^{79} +(-0.263052 + 0.263052i) q^{80} +1.00000 q^{81} -1.65660 q^{82} +(9.54235 - 9.54235i) q^{83} +(3.63557 - 0.950615i) q^{84} +(0.0921787 + 0.0246992i) q^{85} +(-1.18826 - 4.43466i) q^{86} +(3.19498 + 1.84462i) q^{87} -0.746538i q^{88} +(-1.15180 + 4.29859i) q^{89} -0.142640 q^{90} +(-9.52666 + 0.492723i) q^{91} +10.4681 q^{92} +(-2.34941 + 8.76813i) q^{93} +0.774829i q^{94} +(-0.376196 - 0.217197i) q^{95} +(1.75380 + 6.54527i) q^{96} +(15.6536 + 4.19437i) q^{97} +(-12.4633 - 3.50167i) q^{98} +(0.492391 - 0.492391i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.478662 + 1.78639i −0.338465 + 1.26317i 0.561598 + 0.827410i \(0.310187\pi\)
−0.900063 + 0.435759i \(0.856480\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −1.23003 0.710156i −0.615013 0.355078i
\(5\) −0.0199621 0.0744995i −0.00892732 0.0333172i 0.961319 0.275439i \(-0.0888233\pi\)
−0.970246 + 0.242122i \(0.922157\pi\)
\(6\) −1.78639 0.478662i −0.729291 0.195413i
\(7\) 1.85948 + 1.88211i 0.702817 + 0.711371i
\(8\) −0.758075 + 0.758075i −0.268020 + 0.268020i
\(9\) −1.00000 −0.333333
\(10\) 0.142640 0.0451069
\(11\) −0.492391 + 0.492391i −0.148461 + 0.148461i −0.777430 0.628969i \(-0.783477\pi\)
0.628969 + 0.777430i \(0.283477\pi\)
\(12\) 0.710156 1.23003i 0.205004 0.355078i
\(13\) −2.39818 + 2.69235i −0.665135 + 0.746723i
\(14\) −4.25225 + 2.42086i −1.13646 + 0.647002i
\(15\) 0.0744995 0.0199621i 0.0192357 0.00515419i
\(16\) −2.41167 4.17713i −0.602917 1.04428i
\(17\) −0.618653 + 1.07154i −0.150045 + 0.259886i −0.931244 0.364396i \(-0.881275\pi\)
0.781199 + 0.624283i \(0.214609\pi\)
\(18\) 0.478662 1.78639i 0.112822 0.421057i
\(19\) 3.98252 3.98252i 0.913654 0.913654i −0.0829038 0.996558i \(-0.526419\pi\)
0.996558 + 0.0829038i \(0.0264194\pi\)
\(20\) −0.0283524 + 0.105813i −0.00633979 + 0.0236604i
\(21\) −1.88211 + 1.85948i −0.410710 + 0.405771i
\(22\) −0.643914 1.11529i −0.137283 0.237781i
\(23\) −6.38284 + 3.68514i −1.33092 + 0.768404i −0.985440 0.170024i \(-0.945616\pi\)
−0.345475 + 0.938428i \(0.612282\pi\)
\(24\) −0.758075 0.758075i −0.154741 0.154741i
\(25\) 4.32498 2.49703i 0.864995 0.499405i
\(26\) −3.66167 5.57281i −0.718113 1.09292i
\(27\) 1.00000i 0.192450i
\(28\) −0.950615 3.63557i −0.179649 0.687057i
\(29\) 1.84462 3.19498i 0.342538 0.593293i −0.642365 0.766399i \(-0.722047\pi\)
0.984903 + 0.173105i \(0.0553801\pi\)
\(30\) 0.142640i 0.0260425i
\(31\) 8.76813 + 2.34941i 1.57480 + 0.421967i 0.937312 0.348491i \(-0.113306\pi\)
0.637491 + 0.770458i \(0.279972\pi\)
\(32\) 6.54527 1.75380i 1.15705 0.310031i
\(33\) −0.492391 0.492391i −0.0857142 0.0857142i
\(34\) −1.61806 1.61806i −0.277495 0.277495i
\(35\) 0.103097 0.176101i 0.0174266 0.0297665i
\(36\) 1.23003 + 0.710156i 0.205004 + 0.118359i
\(37\) −4.44832 1.19192i −0.731299 0.195951i −0.126092 0.992019i \(-0.540243\pi\)
−0.605208 + 0.796068i \(0.706910\pi\)
\(38\) 5.20806 + 9.02063i 0.844860 + 1.46334i
\(39\) −2.69235 2.39818i −0.431121 0.384016i
\(40\) 0.0716090 + 0.0413434i 0.0113224 + 0.00653697i
\(41\) 0.231836 + 0.865225i 0.0362067 + 0.135125i 0.981663 0.190622i \(-0.0610506\pi\)
−0.945457 + 0.325748i \(0.894384\pi\)
\(42\) −2.42086 4.25225i −0.373547 0.656136i
\(43\) −2.14988 + 1.24124i −0.327854 + 0.189287i −0.654888 0.755726i \(-0.727284\pi\)
0.327034 + 0.945013i \(0.393951\pi\)
\(44\) 0.955327 0.255979i 0.144021 0.0385903i
\(45\) 0.0199621 + 0.0744995i 0.00297577 + 0.0111057i
\(46\) −3.52787 13.1662i −0.520156 1.94125i
\(47\) 0.404685 0.108435i 0.0590293 0.0158169i −0.229184 0.973383i \(-0.573606\pi\)
0.288213 + 0.957566i \(0.406939\pi\)
\(48\) 4.17713 2.41167i 0.602917 0.348094i
\(49\) −0.0846832 + 6.99949i −0.0120976 + 0.999927i
\(50\) 2.39046 + 8.92133i 0.338063 + 1.26167i
\(51\) −1.07154 0.618653i −0.150045 0.0866287i
\(52\) 4.86181 1.60858i 0.674212 0.223070i
\(53\) 5.75319 + 9.96481i 0.790261 + 1.36877i 0.925805 + 0.378001i \(0.123388\pi\)
−0.135544 + 0.990771i \(0.543278\pi\)
\(54\) 1.78639 + 0.478662i 0.243097 + 0.0651377i
\(55\) 0.0465120 + 0.0268537i 0.00627168 + 0.00362095i
\(56\) −2.83640 0.0171575i −0.379030 0.00229276i
\(57\) 3.98252 + 3.98252i 0.527498 + 0.527498i
\(58\) 4.82454 + 4.82454i 0.633493 + 0.633493i
\(59\) 13.5288 3.62504i 1.76131 0.471940i 0.774326 0.632787i \(-0.218089\pi\)
0.986980 + 0.160846i \(0.0514223\pi\)
\(60\) −0.105813 0.0283524i −0.0136603 0.00366028i
\(61\) 6.50300i 0.832624i 0.909222 + 0.416312i \(0.136678\pi\)
−0.909222 + 0.416312i \(0.863322\pi\)
\(62\) −8.39395 + 14.5387i −1.06603 + 1.84642i
\(63\) −1.85948 1.88211i −0.234272 0.237124i
\(64\) 2.88522i 0.360652i
\(65\) 0.248451 + 0.124918i 0.0308166 + 0.0154942i
\(66\) 1.11529 0.643914i 0.137283 0.0792603i
\(67\) −1.47547 1.47547i −0.180257 0.180257i 0.611211 0.791468i \(-0.290683\pi\)
−0.791468 + 0.611211i \(0.790683\pi\)
\(68\) 1.52192 0.878680i 0.184560 0.106556i
\(69\) −3.68514 6.38284i −0.443638 0.768404i
\(70\) 0.265237 + 0.268465i 0.0317018 + 0.0320877i
\(71\) 0.119329 0.445340i 0.0141617 0.0528522i −0.958483 0.285148i \(-0.907957\pi\)
0.972645 + 0.232296i \(0.0746238\pi\)
\(72\) 0.758075 0.758075i 0.0893400 0.0893400i
\(73\) −1.31625 + 4.91231i −0.154055 + 0.574942i 0.845129 + 0.534562i \(0.179524\pi\)
−0.999184 + 0.0403800i \(0.987143\pi\)
\(74\) 4.25848 7.37591i 0.495039 0.857432i
\(75\) 2.49703 + 4.32498i 0.288332 + 0.499405i
\(76\) −7.72682 + 2.07040i −0.886328 + 0.237491i
\(77\) −1.84232 0.0111443i −0.209952 0.00127001i
\(78\) 5.57281 3.66167i 0.630997 0.414603i
\(79\) 3.26395 5.65332i 0.367223 0.636048i −0.621908 0.783091i \(-0.713642\pi\)
0.989130 + 0.147043i \(0.0469754\pi\)
\(80\) −0.263052 + 0.263052i −0.0294102 + 0.0294102i
\(81\) 1.00000 0.111111
\(82\) −1.65660 −0.182941
\(83\) 9.54235 9.54235i 1.04741 1.04741i 0.0485904 0.998819i \(-0.484527\pi\)
0.998819 0.0485904i \(-0.0154729\pi\)
\(84\) 3.63557 0.950615i 0.396673 0.103721i
\(85\) 0.0921787 + 0.0246992i 0.00999818 + 0.00267900i
\(86\) −1.18826 4.43466i −0.128134 0.478202i
\(87\) 3.19498 + 1.84462i 0.342538 + 0.197764i
\(88\) 0.746538i 0.0795812i
\(89\) −1.15180 + 4.29859i −0.122091 + 0.455650i −0.999719 0.0236921i \(-0.992458\pi\)
0.877628 + 0.479342i \(0.159125\pi\)
\(90\) −0.142640 −0.0150356
\(91\) −9.52666 + 0.492723i −0.998665 + 0.0516514i
\(92\) 10.4681 1.09137
\(93\) −2.34941 + 8.76813i −0.243623 + 0.909213i
\(94\) 0.774829i 0.0799175i
\(95\) −0.376196 0.217197i −0.0385969 0.0222839i
\(96\) 1.75380 + 6.54527i 0.178996 + 0.668024i
\(97\) 15.6536 + 4.19437i 1.58938 + 0.425874i 0.941815 0.336132i \(-0.109119\pi\)
0.647569 + 0.762007i \(0.275786\pi\)
\(98\) −12.4633 3.50167i −1.25898 0.353722i
\(99\) 0.492391 0.492391i 0.0494871 0.0494871i
\(100\) −7.09311 −0.709311
\(101\) 10.1274 1.00771 0.503856 0.863788i \(-0.331914\pi\)
0.503856 + 0.863788i \(0.331914\pi\)
\(102\) 1.61806 1.61806i 0.160212 0.160212i
\(103\) −1.47339 + 2.55198i −0.145177 + 0.251454i −0.929439 0.368976i \(-0.879709\pi\)
0.784262 + 0.620430i \(0.213042\pi\)
\(104\) −0.223002 3.85900i −0.0218672 0.378406i
\(105\) 0.176101 + 0.103097i 0.0171857 + 0.0100613i
\(106\) −20.5549 + 5.50767i −1.99647 + 0.534952i
\(107\) −8.42085 14.5853i −0.814075 1.41002i −0.909990 0.414629i \(-0.863911\pi\)
0.0959158 0.995389i \(-0.469422\pi\)
\(108\) −0.710156 + 1.23003i −0.0683348 + 0.118359i
\(109\) 2.91975 10.8967i 0.279662 1.04371i −0.672991 0.739651i \(-0.734991\pi\)
0.952653 0.304061i \(-0.0983426\pi\)
\(110\) −0.0702348 + 0.0702348i −0.00669662 + 0.00669662i
\(111\) 1.19192 4.44832i 0.113132 0.422216i
\(112\) 3.37738 12.3063i 0.319133 1.16284i
\(113\) −5.69946 9.87175i −0.536160 0.928656i −0.999106 0.0422699i \(-0.986541\pi\)
0.462946 0.886386i \(-0.346792\pi\)
\(114\) −9.02063 + 5.20806i −0.844860 + 0.487780i
\(115\) 0.401956 + 0.401956i 0.0374826 + 0.0374826i
\(116\) −4.53787 + 2.61994i −0.421331 + 0.243256i
\(117\) 2.39818 2.69235i 0.221712 0.248908i
\(118\) 25.9030i 2.38456i
\(119\) −3.16713 + 0.828128i −0.290330 + 0.0759144i
\(120\) −0.0413434 + 0.0716090i −0.00377412 + 0.00653697i
\(121\) 10.5151i 0.955918i
\(122\) −11.6169 3.11274i −1.05175 0.281814i
\(123\) −0.865225 + 0.231836i −0.0780147 + 0.0209040i
\(124\) −9.11658 9.11658i −0.818693 0.818693i
\(125\) −0.545050 0.545050i −0.0487507 0.0487507i
\(126\) 4.25225 2.42086i 0.378820 0.215667i
\(127\) −11.9564 6.90305i −1.06096 0.612547i −0.135264 0.990810i \(-0.543188\pi\)
−0.925698 + 0.378263i \(0.876522\pi\)
\(128\) 7.93641 + 2.12655i 0.701486 + 0.187963i
\(129\) −1.24124 2.14988i −0.109285 0.189287i
\(130\) −0.342077 + 0.384038i −0.0300022 + 0.0336823i
\(131\) −12.3717 7.14282i −1.08092 0.624071i −0.149778 0.988720i \(-0.547856\pi\)
−0.931145 + 0.364648i \(0.881189\pi\)
\(132\) 0.255979 + 0.955327i 0.0222801 + 0.0831506i
\(133\) 14.9010 + 0.0901363i 1.29208 + 0.00781581i
\(134\) 3.34201 1.92951i 0.288706 0.166685i
\(135\) −0.0744995 + 0.0199621i −0.00641190 + 0.00171806i
\(136\) −0.343321 1.28129i −0.0294395 0.109870i
\(137\) −1.09346 4.08086i −0.0934208 0.348651i 0.903355 0.428895i \(-0.141097\pi\)
−0.996775 + 0.0802436i \(0.974430\pi\)
\(138\) 13.1662 3.52787i 1.12078 0.300312i
\(139\) −8.52594 + 4.92246i −0.723161 + 0.417517i −0.815915 0.578172i \(-0.803766\pi\)
0.0927539 + 0.995689i \(0.470433\pi\)
\(140\) −0.251872 + 0.143394i −0.0212870 + 0.0121190i
\(141\) 0.108435 + 0.404685i 0.00913187 + 0.0340806i
\(142\) 0.738434 + 0.426335i 0.0619680 + 0.0357772i
\(143\) −0.144846 2.50653i −0.0121126 0.209606i
\(144\) 2.41167 + 4.17713i 0.200972 + 0.348094i
\(145\) −0.274847 0.0736451i −0.0228248 0.00611589i
\(146\) −8.14527 4.70267i −0.674107 0.389196i
\(147\) −6.99949 0.0846832i −0.577308 0.00698456i
\(148\) 4.62510 + 4.62510i 0.380181 + 0.380181i
\(149\) −2.48244 2.48244i −0.203369 0.203369i 0.598073 0.801442i \(-0.295933\pi\)
−0.801442 + 0.598073i \(0.795933\pi\)
\(150\) −8.92133 + 2.39046i −0.728424 + 0.195181i
\(151\) −18.6733 5.00350i −1.51961 0.407179i −0.599999 0.800001i \(-0.704832\pi\)
−0.919615 + 0.392821i \(0.871499\pi\)
\(152\) 6.03810i 0.489755i
\(153\) 0.618653 1.07154i 0.0500151 0.0866287i
\(154\) 0.901758 3.28578i 0.0726658 0.264775i
\(155\) 0.700121i 0.0562351i
\(156\) 1.60858 + 4.86181i 0.128789 + 0.389256i
\(157\) 2.19466 1.26709i 0.175153 0.101125i −0.409860 0.912148i \(-0.634423\pi\)
0.585013 + 0.811024i \(0.301089\pi\)
\(158\) 8.53671 + 8.53671i 0.679145 + 0.679145i
\(159\) −9.96481 + 5.75319i −0.790261 + 0.456257i
\(160\) −0.261314 0.452610i −0.0206587 0.0357820i
\(161\) −18.8046 5.16079i −1.48201 0.406727i
\(162\) −0.478662 + 1.78639i −0.0376073 + 0.140352i
\(163\) 10.0258 10.0258i 0.785280 0.785280i −0.195437 0.980716i \(-0.562612\pi\)
0.980716 + 0.195437i \(0.0626124\pi\)
\(164\) 0.329280 1.22889i 0.0257124 0.0959601i
\(165\) −0.0268537 + 0.0465120i −0.00209056 + 0.00362095i
\(166\) 12.4788 + 21.6139i 0.968544 + 1.67757i
\(167\) 3.12094 0.836254i 0.241506 0.0647113i −0.136036 0.990704i \(-0.543436\pi\)
0.377542 + 0.925993i \(0.376770\pi\)
\(168\) 0.0171575 2.83640i 0.00132373 0.218833i
\(169\) −1.49748 12.9135i −0.115190 0.993343i
\(170\) −0.0882449 + 0.152845i −0.00676807 + 0.0117226i
\(171\) −3.98252 + 3.98252i −0.304551 + 0.304551i
\(172\) 3.52588 0.268846
\(173\) −0.638361 −0.0485337 −0.0242668 0.999706i \(-0.507725\pi\)
−0.0242668 + 0.999706i \(0.507725\pi\)
\(174\) −4.82454 + 4.82454i −0.365747 + 0.365747i
\(175\) 12.7419 + 3.49692i 0.963195 + 0.264342i
\(176\) 3.24426 + 0.869298i 0.244546 + 0.0655258i
\(177\) 3.62504 + 13.5288i 0.272475 + 1.01689i
\(178\) −7.12764 4.11514i −0.534239 0.308443i
\(179\) 7.82754i 0.585058i 0.956257 + 0.292529i \(0.0944967\pi\)
−0.956257 + 0.292529i \(0.905503\pi\)
\(180\) 0.0283524 0.105813i 0.00211326 0.00788680i
\(181\) −7.74072 −0.575363 −0.287682 0.957726i \(-0.592885\pi\)
−0.287682 + 0.957726i \(0.592885\pi\)
\(182\) 3.67985 17.2542i 0.272769 1.27897i
\(183\) −6.50300 −0.480716
\(184\) 2.04506 7.63228i 0.150764 0.562659i
\(185\) 0.355191i 0.0261142i
\(186\) −14.5387 8.39395i −1.06603 0.615474i
\(187\) −0.222996 0.832234i −0.0163071 0.0608590i
\(188\) −0.574779 0.154011i −0.0419200 0.0112324i
\(189\) 1.88211 1.85948i 0.136903 0.135257i
\(190\) 0.568069 0.568069i 0.0412120 0.0412120i
\(191\) 13.5470 0.980225 0.490112 0.871659i \(-0.336956\pi\)
0.490112 + 0.871659i \(0.336956\pi\)
\(192\) −2.88522 −0.208223
\(193\) −10.9813 + 10.9813i −0.790452 + 0.790452i −0.981568 0.191115i \(-0.938790\pi\)
0.191115 + 0.981568i \(0.438790\pi\)
\(194\) −14.9856 + 25.9558i −1.07590 + 1.86352i
\(195\) −0.124918 + 0.248451i −0.00894558 + 0.0177920i
\(196\) 5.07489 8.54942i 0.362492 0.610673i
\(197\) 12.9524 3.47059i 0.922822 0.247269i 0.234031 0.972229i \(-0.424808\pi\)
0.688791 + 0.724960i \(0.258142\pi\)
\(198\) 0.643914 + 1.11529i 0.0457609 + 0.0792603i
\(199\) −1.64312 + 2.84597i −0.116478 + 0.201746i −0.918370 0.395724i \(-0.870494\pi\)
0.801892 + 0.597469i \(0.203827\pi\)
\(200\) −1.38572 + 5.17159i −0.0979854 + 0.365686i
\(201\) 1.47547 1.47547i 0.104071 0.104071i
\(202\) −4.84759 + 18.0915i −0.341075 + 1.27291i
\(203\) 9.44335 2.46921i 0.662793 0.173305i
\(204\) 0.878680 + 1.52192i 0.0615199 + 0.106556i
\(205\) 0.0598309 0.0345434i 0.00417877 0.00241261i
\(206\) −3.85358 3.85358i −0.268492 0.268492i
\(207\) 6.38284 3.68514i 0.443638 0.256135i
\(208\) 17.0299 + 3.52446i 1.18081 + 0.244377i
\(209\) 3.92191i 0.271285i
\(210\) −0.268465 + 0.265237i −0.0185258 + 0.0183031i
\(211\) −6.31298 + 10.9344i −0.434604 + 0.752756i −0.997263 0.0739331i \(-0.976445\pi\)
0.562660 + 0.826689i \(0.309778\pi\)
\(212\) 16.3426i 1.12242i
\(213\) 0.445340 + 0.119329i 0.0305142 + 0.00817626i
\(214\) 30.0859 8.06149i 2.05663 0.551072i
\(215\) 0.135388 + 0.135388i 0.00923335 + 0.00923335i
\(216\) 0.758075 + 0.758075i 0.0515805 + 0.0515805i
\(217\) 11.8823 + 20.8713i 0.806623 + 1.41684i
\(218\) 18.0681 + 10.4316i 1.22373 + 0.706520i
\(219\) −4.91231 1.31625i −0.331943 0.0889439i
\(220\) −0.0381407 0.0660616i −0.00257144 0.00445387i
\(221\) −1.40131 4.23537i −0.0942626 0.284902i
\(222\) 7.37591 + 4.25848i 0.495039 + 0.285811i
\(223\) −5.22617 19.5043i −0.349971 1.30611i −0.886697 0.462351i \(-0.847006\pi\)
0.536726 0.843756i \(-0.319661\pi\)
\(224\) 15.4716 + 9.05777i 1.03374 + 0.605198i
\(225\) −4.32498 + 2.49703i −0.288332 + 0.166468i
\(226\) 20.3629 5.45623i 1.35452 0.362943i
\(227\) −3.30632 12.3394i −0.219448 0.818992i −0.984553 0.175086i \(-0.943980\pi\)
0.765105 0.643906i \(-0.222687\pi\)
\(228\) −2.07040 7.72682i −0.137115 0.511721i
\(229\) 11.8832 3.18409i 0.785262 0.210410i 0.156159 0.987732i \(-0.450089\pi\)
0.629104 + 0.777322i \(0.283422\pi\)
\(230\) −0.910452 + 0.525649i −0.0600334 + 0.0346603i
\(231\) 0.0111443 1.84232i 0.000733238 0.121216i
\(232\) 1.02367 + 3.82040i 0.0672074 + 0.250821i
\(233\) 0.0361142 + 0.0208505i 0.00236592 + 0.00136596i 0.501182 0.865342i \(-0.332899\pi\)
−0.498817 + 0.866708i \(0.666232\pi\)
\(234\) 3.66167 + 5.57281i 0.239371 + 0.364306i
\(235\) −0.0161567 0.0279842i −0.00105395 0.00182549i
\(236\) −19.2152 5.14869i −1.25080 0.335151i
\(237\) 5.65332 + 3.26395i 0.367223 + 0.212016i
\(238\) 0.0366215 6.05412i 0.00237382 0.392430i
\(239\) 1.45212 + 1.45212i 0.0939296 + 0.0939296i 0.752510 0.658581i \(-0.228843\pi\)
−0.658581 + 0.752510i \(0.728843\pi\)
\(240\) −0.263052 0.263052i −0.0169800 0.0169800i
\(241\) −2.66815 + 0.714928i −0.171871 + 0.0460526i −0.343728 0.939069i \(-0.611690\pi\)
0.171857 + 0.985122i \(0.445023\pi\)
\(242\) −18.7841 5.03318i −1.20749 0.323545i
\(243\) 1.00000i 0.0641500i
\(244\) 4.61815 7.99887i 0.295647 0.512075i
\(245\) 0.523149 0.133416i 0.0334228 0.00852360i
\(246\) 1.65660i 0.105621i
\(247\) 1.17154 + 20.2731i 0.0745430 + 1.28995i
\(248\) −8.42793 + 4.86587i −0.535174 + 0.308983i
\(249\) 9.54235 + 9.54235i 0.604722 + 0.604722i
\(250\) 1.23457 0.712778i 0.0780809 0.0450800i
\(251\) −11.9299 20.6631i −0.753006 1.30424i −0.946359 0.323116i \(-0.895270\pi\)
0.193353 0.981129i \(-0.438064\pi\)
\(252\) 0.950615 + 3.63557i 0.0598831 + 0.229019i
\(253\) 1.32833 4.95738i 0.0835111 0.311668i
\(254\) 18.0546 18.0546i 1.13285 1.13285i
\(255\) −0.0246992 + 0.0921787i −0.00154672 + 0.00577245i
\(256\) −10.4829 + 18.1570i −0.655184 + 1.13481i
\(257\) 3.35862 + 5.81730i 0.209505 + 0.362873i 0.951559 0.307467i \(-0.0994814\pi\)
−0.742054 + 0.670340i \(0.766148\pi\)
\(258\) 4.43466 1.18826i 0.276090 0.0739781i
\(259\) −6.02822 10.5886i −0.374575 0.657943i
\(260\) −0.216890 0.330092i −0.0134510 0.0204714i
\(261\) −1.84462 + 3.19498i −0.114179 + 0.197764i
\(262\) 18.6818 18.6818i 1.15416 1.15416i
\(263\) 15.4647 0.953594 0.476797 0.879014i \(-0.341798\pi\)
0.476797 + 0.879014i \(0.341798\pi\)
\(264\) 0.746538 0.0459462
\(265\) 0.627528 0.627528i 0.0385487 0.0385487i
\(266\) −7.29355 + 26.5758i −0.447196 + 1.62947i
\(267\) −4.29859 1.15180i −0.263069 0.0704892i
\(268\) 0.767052 + 2.86268i 0.0468552 + 0.174866i
\(269\) −0.303881 0.175446i −0.0185280 0.0106971i 0.490707 0.871324i \(-0.336738\pi\)
−0.509235 + 0.860627i \(0.670072\pi\)
\(270\) 0.142640i 0.00868082i
\(271\) −2.58433 + 9.64484i −0.156987 + 0.585882i 0.841940 + 0.539570i \(0.181413\pi\)
−0.998927 + 0.0463115i \(0.985253\pi\)
\(272\) 5.96794 0.361860
\(273\) −0.492723 9.52666i −0.0298210 0.576580i
\(274\) 7.81340 0.472025
\(275\) −0.900065 + 3.35909i −0.0542760 + 0.202561i
\(276\) 10.4681i 0.630105i
\(277\) −8.39611 4.84750i −0.504473 0.291258i 0.226086 0.974107i \(-0.427407\pi\)
−0.730559 + 0.682850i \(0.760740\pi\)
\(278\) −4.71239 17.5869i −0.282630 1.05479i
\(279\) −8.76813 2.34941i −0.524934 0.140656i
\(280\) 0.0553423 + 0.211653i 0.00330734 + 0.0126487i
\(281\) −22.0548 + 22.0548i −1.31568 + 1.31568i −0.398518 + 0.917161i \(0.630475\pi\)
−0.917161 + 0.398518i \(0.869525\pi\)
\(282\) −0.774829 −0.0461404
\(283\) 4.15060 0.246728 0.123364 0.992362i \(-0.460632\pi\)
0.123364 + 0.992362i \(0.460632\pi\)
\(284\) −0.463038 + 0.463038i −0.0274763 + 0.0274763i
\(285\) 0.217197 0.376196i 0.0128656 0.0222839i
\(286\) 4.54697 + 0.941028i 0.268868 + 0.0556441i
\(287\) −1.19735 + 2.04521i −0.0706776 + 0.120725i
\(288\) −6.54527 + 1.75380i −0.385684 + 0.103344i
\(289\) 7.73454 + 13.3966i 0.454973 + 0.788036i
\(290\) 0.263118 0.455734i 0.0154508 0.0267616i
\(291\) −4.19437 + 15.6536i −0.245879 + 0.917631i
\(292\) 5.10753 5.10753i 0.298895 0.298895i
\(293\) −4.12495 + 15.3945i −0.240982 + 0.899357i 0.734379 + 0.678740i \(0.237474\pi\)
−0.975361 + 0.220617i \(0.929193\pi\)
\(294\) 3.50167 12.4633i 0.204221 0.726874i
\(295\) −0.540128 0.935529i −0.0314475 0.0544686i
\(296\) 4.27573 2.46859i 0.248522 0.143484i
\(297\) 0.492391 + 0.492391i 0.0285714 + 0.0285714i
\(298\) 5.62285 3.24635i 0.325723 0.188056i
\(299\) 5.38553 26.0225i 0.311453 1.50492i
\(300\) 7.09311i 0.409521i
\(301\) −6.33380 1.73827i −0.365074 0.100192i
\(302\) 17.8764 30.9629i 1.02867 1.78171i
\(303\) 10.1274i 0.581802i
\(304\) −26.2401 7.03100i −1.50497 0.403256i
\(305\) 0.484471 0.129814i 0.0277407 0.00743310i
\(306\) 1.61806 + 1.61806i 0.0924984 + 0.0924984i
\(307\) −5.87701 5.87701i −0.335419 0.335419i 0.519221 0.854640i \(-0.326222\pi\)
−0.854640 + 0.519221i \(0.826222\pi\)
\(308\) 2.25819 + 1.32204i 0.128672 + 0.0753305i
\(309\) −2.55198 1.47339i −0.145177 0.0838180i
\(310\) 1.25069 + 0.335121i 0.0710344 + 0.0190336i
\(311\) −12.8619 22.2775i −0.729331 1.26324i −0.957166 0.289539i \(-0.906498\pi\)
0.227835 0.973700i \(-0.426835\pi\)
\(312\) 3.85900 0.223002i 0.218473 0.0126250i
\(313\) −19.5449 11.2842i −1.10474 0.637823i −0.167280 0.985909i \(-0.553498\pi\)
−0.937463 + 0.348086i \(0.886832\pi\)
\(314\) 1.21301 + 4.52703i 0.0684543 + 0.255475i
\(315\) −0.103097 + 0.176101i −0.00580887 + 0.00992217i
\(316\) −8.02948 + 4.63582i −0.451693 + 0.260785i
\(317\) 10.5010 2.81372i 0.589792 0.158034i 0.0484339 0.998826i \(-0.484577\pi\)
0.541358 + 0.840792i \(0.317910\pi\)
\(318\) −5.50767 20.5549i −0.308855 1.15266i
\(319\) 0.664904 + 2.48145i 0.0372275 + 0.138935i
\(320\) 0.214947 0.0575950i 0.0120159 0.00321966i
\(321\) 14.5853 8.42085i 0.814075 0.470006i
\(322\) 18.2202 31.1221i 1.01537 1.73437i
\(323\) 1.80363 + 6.73123i 0.100356 + 0.374536i
\(324\) −1.23003 0.710156i −0.0683348 0.0394531i
\(325\) −3.64920 + 17.6327i −0.202421 + 0.978084i
\(326\) 13.1110 + 22.7089i 0.726152 + 1.25773i
\(327\) 10.8967 + 2.91975i 0.602587 + 0.161463i
\(328\) −0.831654 0.480156i −0.0459204 0.0265122i
\(329\) 0.956589 + 0.560029i 0.0527384 + 0.0308754i
\(330\) −0.0702348 0.0702348i −0.00386630 0.00386630i
\(331\) −15.3077 15.3077i −0.841389 0.841389i 0.147651 0.989040i \(-0.452829\pi\)
−0.989040 + 0.147651i \(0.952829\pi\)
\(332\) −18.5139 + 4.96079i −1.01608 + 0.272258i
\(333\) 4.44832 + 1.19192i 0.243766 + 0.0653170i
\(334\) 5.97551i 0.326965i
\(335\) −0.0804682 + 0.139375i −0.00439645 + 0.00761487i
\(336\) 12.3063 + 3.37738i 0.671365 + 0.184251i
\(337\) 15.6989i 0.855172i −0.903975 0.427586i \(-0.859364\pi\)
0.903975 0.427586i \(-0.140636\pi\)
\(338\) 23.7853 + 3.50611i 1.29375 + 0.190707i
\(339\) 9.87175 5.69946i 0.536160 0.309552i
\(340\) −0.0958419 0.0958419i −0.00519776 0.00519776i
\(341\) −5.47417 + 3.16052i −0.296443 + 0.171152i
\(342\) −5.20806 9.02063i −0.281620 0.487780i
\(343\) −13.3313 + 12.8560i −0.719821 + 0.694159i
\(344\) 0.688822 2.57072i 0.0371388 0.138604i
\(345\) −0.401956 + 0.401956i −0.0216406 + 0.0216406i
\(346\) 0.305559 1.14036i 0.0164270 0.0613062i
\(347\) 10.1136 17.5173i 0.542927 0.940378i −0.455807 0.890079i \(-0.650649\pi\)
0.998734 0.0502990i \(-0.0160174\pi\)
\(348\) −2.61994 4.53787i −0.140444 0.243256i
\(349\) 22.3749 5.99533i 1.19770 0.320923i 0.395775 0.918348i \(-0.370476\pi\)
0.801925 + 0.597425i \(0.203809\pi\)
\(350\) −12.3459 + 21.0881i −0.659917 + 1.12721i
\(351\) 2.69235 + 2.39818i 0.143707 + 0.128005i
\(352\) −2.35927 + 4.08638i −0.125750 + 0.217805i
\(353\) 9.05621 9.05621i 0.482013 0.482013i −0.423761 0.905774i \(-0.639290\pi\)
0.905774 + 0.423761i \(0.139290\pi\)
\(354\) −25.9030 −1.37673
\(355\) −0.0355597 −0.00188731
\(356\) 4.46942 4.46942i 0.236879 0.236879i
\(357\) −0.828128 3.16713i −0.0438292 0.167622i
\(358\) −13.9830 3.74675i −0.739027 0.198022i
\(359\) 6.96850 + 26.0068i 0.367783 + 1.37259i 0.863608 + 0.504163i \(0.168199\pi\)
−0.495825 + 0.868423i \(0.665134\pi\)
\(360\) −0.0716090 0.0413434i −0.00377412 0.00217899i
\(361\) 12.7210i 0.669526i
\(362\) 3.70519 13.8280i 0.194741 0.726781i
\(363\) −10.5151 −0.551900
\(364\) 12.0680 + 6.15935i 0.632533 + 0.322838i
\(365\) 0.392240 0.0205308
\(366\) 3.11274 11.6169i 0.162706 0.607226i
\(367\) 24.8485i 1.29708i 0.761180 + 0.648540i \(0.224620\pi\)
−0.761180 + 0.648540i \(0.775380\pi\)
\(368\) 30.7866 + 17.7747i 1.60486 + 0.926568i
\(369\) −0.231836 0.865225i −0.0120689 0.0450418i
\(370\) −0.634510 0.170016i −0.0329866 0.00883874i
\(371\) −8.05696 + 29.3575i −0.418296 + 1.52416i
\(372\) 9.11658 9.11658i 0.472673 0.472673i
\(373\) −33.4941 −1.73426 −0.867129 0.498084i \(-0.834037\pi\)
−0.867129 + 0.498084i \(0.834037\pi\)
\(374\) 1.59344 0.0823946
\(375\) 0.545050 0.545050i 0.0281463 0.0281463i
\(376\) −0.224579 + 0.388983i −0.0115818 + 0.0200603i
\(377\) 4.17827 + 12.6285i 0.215192 + 0.650401i
\(378\) 2.42086 + 4.25225i 0.124516 + 0.218712i
\(379\) 2.63846 0.706973i 0.135529 0.0363148i −0.190417 0.981703i \(-0.560984\pi\)
0.325946 + 0.945389i \(0.394317\pi\)
\(380\) 0.308487 + 0.534315i 0.0158251 + 0.0274098i
\(381\) 6.90305 11.9564i 0.353654 0.612547i
\(382\) −6.48442 + 24.2002i −0.331772 + 1.23819i
\(383\) −14.6720 + 14.6720i −0.749705 + 0.749705i −0.974424 0.224718i \(-0.927854\pi\)
0.224718 + 0.974424i \(0.427854\pi\)
\(384\) −2.12655 + 7.93641i −0.108520 + 0.405003i
\(385\) 0.0359464 + 0.137475i 0.00183200 + 0.00700636i
\(386\) −14.3606 24.8733i −0.730935 1.26602i
\(387\) 2.14988 1.24124i 0.109285 0.0630955i
\(388\) −16.2757 16.2757i −0.826274 0.826274i
\(389\) −29.3050 + 16.9193i −1.48582 + 0.857841i −0.999870 0.0161427i \(-0.994861\pi\)
−0.485955 + 0.873984i \(0.661528\pi\)
\(390\) −0.384038 0.342077i −0.0194465 0.0173218i
\(391\) 9.11928i 0.461182i
\(392\) −5.24194 5.37033i −0.264758 0.271243i
\(393\) 7.14282 12.3717i 0.360308 0.624071i
\(394\) 24.7993i 1.24937i
\(395\) −0.486325 0.130310i −0.0244697 0.00655662i
\(396\) −0.955327 + 0.255979i −0.0480070 + 0.0128634i
\(397\) −2.94763 2.94763i −0.147937 0.147937i 0.629259 0.777196i \(-0.283359\pi\)
−0.777196 + 0.629259i \(0.783359\pi\)
\(398\) −4.29752 4.29752i −0.215415 0.215415i
\(399\) −0.0901363 + 14.9010i −0.00451246 + 0.745982i
\(400\) −20.8608 12.0440i −1.04304 0.602200i
\(401\) −36.7767 9.85428i −1.83654 0.492099i −0.837976 0.545706i \(-0.816261\pi\)
−0.998562 + 0.0536073i \(0.982928\pi\)
\(402\) 1.92951 + 3.34201i 0.0962354 + 0.166685i
\(403\) −27.3530 + 17.9726i −1.36255 + 0.895276i
\(404\) −12.4569 7.19202i −0.619756 0.357816i
\(405\) −0.0199621 0.0744995i −0.000991924 0.00370191i
\(406\) −0.109194 + 18.0514i −0.00541919 + 0.895878i
\(407\) 2.77720 1.60342i 0.137661 0.0794785i
\(408\) 1.28129 0.343321i 0.0634334 0.0169969i
\(409\) −4.94624 18.4596i −0.244576 0.912770i −0.973596 0.228277i \(-0.926691\pi\)
0.729020 0.684492i \(-0.239976\pi\)
\(410\) 0.0330692 + 0.123416i 0.00163317 + 0.00609508i
\(411\) 4.08086 1.09346i 0.201294 0.0539365i
\(412\) 3.62461 2.09267i 0.178572 0.103098i
\(413\) 31.9793 + 18.7221i 1.57360 + 0.921254i
\(414\) 3.52787 + 13.1662i 0.173385 + 0.647083i
\(415\) −0.901386 0.520415i −0.0442473 0.0255462i
\(416\) −10.9749 + 21.8281i −0.538088 + 1.07021i
\(417\) −4.92246 8.52594i −0.241054 0.417517i
\(418\) −7.00608 1.87727i −0.342678 0.0918204i
\(419\) 29.2306 + 16.8763i 1.42801 + 0.824460i 0.996963 0.0778716i \(-0.0248124\pi\)
0.431043 + 0.902331i \(0.358146\pi\)
\(420\) −0.143394 0.251872i −0.00699690 0.0122901i
\(421\) 20.2556 + 20.2556i 0.987197 + 0.987197i 0.999919 0.0127222i \(-0.00404970\pi\)
−0.0127222 + 0.999919i \(0.504050\pi\)
\(422\) −16.5113 16.5113i −0.803760 0.803760i
\(423\) −0.404685 + 0.108435i −0.0196764 + 0.00527229i
\(424\) −11.9154 3.19273i −0.578664 0.155053i
\(425\) 6.17917i 0.299734i
\(426\) −0.426335 + 0.738434i −0.0206560 + 0.0357772i
\(427\) −12.2394 + 12.0922i −0.592305 + 0.585182i
\(428\) 23.9205i 1.15624i
\(429\) 2.50653 0.144846i 0.121016 0.00699324i
\(430\) −0.306660 + 0.177050i −0.0147885 + 0.00853812i
\(431\) 12.3722 + 12.3722i 0.595947 + 0.595947i 0.939232 0.343284i \(-0.111539\pi\)
−0.343284 + 0.939232i \(0.611539\pi\)
\(432\) −4.17713 + 2.41167i −0.200972 + 0.116031i
\(433\) −6.74582 11.6841i −0.324184 0.561502i 0.657163 0.753748i \(-0.271756\pi\)
−0.981347 + 0.192246i \(0.938423\pi\)
\(434\) −42.9719 + 11.2361i −2.06272 + 0.539352i
\(435\) 0.0736451 0.274847i 0.00353101 0.0131779i
\(436\) −11.3297 + 11.3297i −0.542595 + 0.542595i
\(437\) −10.7437 + 40.0960i −0.513940 + 1.91805i
\(438\) 4.70267 8.14527i 0.224702 0.389196i
\(439\) −11.8689 20.5575i −0.566470 0.981155i −0.996911 0.0785362i \(-0.974975\pi\)
0.430441 0.902619i \(-0.358358\pi\)
\(440\) −0.0556167 + 0.0149024i −0.00265142 + 0.000710446i
\(441\) 0.0846832 6.99949i 0.00403254 0.333309i
\(442\) 8.23678 0.475984i 0.391784 0.0226402i
\(443\) 17.9783 31.1393i 0.854173 1.47947i −0.0232374 0.999730i \(-0.507397\pi\)
0.877410 0.479741i \(-0.159269\pi\)
\(444\) −4.62510 + 4.62510i −0.219497 + 0.219497i
\(445\) 0.343235 0.0162709
\(446\) 37.3440 1.76829
\(447\) 2.48244 2.48244i 0.117415 0.117415i
\(448\) −5.43030 + 5.36500i −0.256558 + 0.253472i
\(449\) 27.2216 + 7.29399i 1.28466 + 0.344225i 0.835632 0.549290i \(-0.185102\pi\)
0.449033 + 0.893515i \(0.351769\pi\)
\(450\) −2.39046 8.92133i −0.112688 0.420556i
\(451\) −0.540182 0.311874i −0.0254362 0.0146856i
\(452\) 16.1900i 0.761515i
\(453\) 5.00350 18.6733i 0.235085 0.877349i
\(454\) 23.6255 1.10880
\(455\) 0.226880 + 0.699896i 0.0106363 + 0.0328116i
\(456\) −6.03810 −0.282760
\(457\) 0.0323388 0.120690i 0.00151274 0.00564564i −0.965165 0.261641i \(-0.915736\pi\)
0.966678 + 0.255995i \(0.0824031\pi\)
\(458\) 22.7521i 1.06314i
\(459\) 1.07154 + 0.618653i 0.0500151 + 0.0288762i
\(460\) −0.208965 0.779868i −0.00974304 0.0363615i
\(461\) 16.8148 + 4.50551i 0.783143 + 0.209843i 0.628170 0.778076i \(-0.283804\pi\)
0.154973 + 0.987919i \(0.450471\pi\)
\(462\) 3.28578 + 0.901758i 0.152868 + 0.0419536i
\(463\) −1.07038 + 1.07038i −0.0497447 + 0.0497447i −0.731542 0.681797i \(-0.761199\pi\)
0.681797 + 0.731542i \(0.261199\pi\)
\(464\) −17.7945 −0.826089
\(465\) 0.700121 0.0324673
\(466\) −0.0545337 + 0.0545337i −0.00252623 + 0.00252623i
\(467\) 14.6317 25.3429i 0.677075 1.17273i −0.298782 0.954321i \(-0.596580\pi\)
0.975858 0.218408i \(-0.0700862\pi\)
\(468\) −4.86181 + 1.60858i −0.224737 + 0.0743565i
\(469\) 0.0333942 5.52059i 0.00154200 0.254917i
\(470\) 0.0577244 0.0154672i 0.00266263 0.000713449i
\(471\) 1.26709 + 2.19466i 0.0583843 + 0.101125i
\(472\) −7.50782 + 13.0039i −0.345576 + 0.598554i
\(473\) 0.447409 1.66975i 0.0205719 0.0767754i
\(474\) −8.53671 + 8.53671i −0.392104 + 0.392104i
\(475\) 7.27985 27.1688i 0.334023 1.24659i
\(476\) 4.48375 + 1.23053i 0.205512 + 0.0564014i
\(477\) −5.75319 9.96481i −0.263420 0.456257i
\(478\) −3.28912 + 1.89897i −0.150441 + 0.0868571i
\(479\) 2.41580 + 2.41580i 0.110381 + 0.110381i 0.760140 0.649759i \(-0.225130\pi\)
−0.649759 + 0.760140i \(0.725130\pi\)
\(480\) 0.452610 0.261314i 0.0206587 0.0119273i
\(481\) 13.8769 9.11798i 0.632734 0.415744i
\(482\) 5.10857i 0.232689i
\(483\) 5.16079 18.8046i 0.234824 0.855639i
\(484\) 7.46736 12.9339i 0.339426 0.587903i
\(485\) 1.24992i 0.0567557i
\(486\) −1.78639 0.478662i −0.0810324 0.0217126i
\(487\) 5.97650 1.60140i 0.270821 0.0725663i −0.120853 0.992670i \(-0.538563\pi\)
0.391674 + 0.920104i \(0.371896\pi\)
\(488\) −4.92976 4.92976i −0.223160 0.223160i
\(489\) 10.0258 + 10.0258i 0.453382 + 0.453382i
\(490\) −0.0120793 + 0.998410i −0.000545685 + 0.0451036i
\(491\) −33.1219 19.1229i −1.49477 0.863006i −0.494788 0.869014i \(-0.664754\pi\)
−0.999982 + 0.00600745i \(0.998088\pi\)
\(492\) 1.22889 + 0.329280i 0.0554026 + 0.0148451i
\(493\) 2.28236 + 3.95317i 0.102793 + 0.178042i
\(494\) −36.7766 7.61117i −1.65466 0.342443i
\(495\) −0.0465120 0.0268537i −0.00209056 0.00120698i
\(496\) −11.3320 42.2917i −0.508823 1.89895i
\(497\) 1.06007 0.603511i 0.0475506 0.0270712i
\(498\) −21.6139 + 12.4788i −0.968544 + 0.559189i
\(499\) 3.99901 1.07153i 0.179020 0.0479684i −0.168195 0.985754i \(-0.553794\pi\)
0.347216 + 0.937785i \(0.387127\pi\)
\(500\) 0.283355 + 1.05750i 0.0126720 + 0.0472927i
\(501\) 0.836254 + 3.12094i 0.0373611 + 0.139433i
\(502\) 42.6228 11.4207i 1.90235 0.509733i
\(503\) 20.9643 12.1038i 0.934752 0.539680i 0.0464410 0.998921i \(-0.485212\pi\)
0.888311 + 0.459241i \(0.151879\pi\)
\(504\) 2.83640 + 0.0171575i 0.126343 + 0.000764255i
\(505\) −0.202163 0.754484i −0.00899616 0.0335741i
\(506\) 8.22000 + 4.74582i 0.365424 + 0.210977i
\(507\) 12.9135 1.49748i 0.573507 0.0665052i
\(508\) 9.80449 + 16.9819i 0.435004 + 0.753449i
\(509\) −22.4817 6.02395i −0.996483 0.267007i −0.276511 0.961011i \(-0.589178\pi\)
−0.719971 + 0.694004i \(0.755845\pi\)
\(510\) −0.152845 0.0882449i −0.00676807 0.00390755i
\(511\) −11.6930 + 6.65700i −0.517270 + 0.294489i
\(512\) −15.7980 15.7980i −0.698179 0.698179i
\(513\) −3.98252 3.98252i −0.175833 0.175833i
\(514\) −11.9996 + 3.21529i −0.529281 + 0.141820i
\(515\) 0.219533 + 0.0588237i 0.00967379 + 0.00259208i
\(516\) 3.52588i 0.155218i
\(517\) −0.145871 + 0.252655i −0.00641538 + 0.0111118i
\(518\) 21.8008 5.70041i 0.957874 0.250461i
\(519\) 0.638361i 0.0280209i
\(520\) −0.283042 + 0.0936472i −0.0124122 + 0.00410670i
\(521\) 29.3950 16.9712i 1.28782 0.743522i 0.309553 0.950882i \(-0.399821\pi\)
0.978265 + 0.207360i \(0.0664872\pi\)
\(522\) −4.82454 4.82454i −0.211164 0.211164i
\(523\) 6.58042 3.79921i 0.287742 0.166128i −0.349181 0.937055i \(-0.613540\pi\)
0.636923 + 0.770927i \(0.280207\pi\)
\(524\) 10.1450 + 17.5717i 0.443188 + 0.767624i
\(525\) −3.49692 + 12.7419i −0.152618 + 0.556101i
\(526\) −7.40236 + 27.6260i −0.322758 + 1.20455i
\(527\) −7.94192 + 7.94192i −0.345955 + 0.345955i
\(528\) −0.869298 + 3.24426i −0.0378313 + 0.141188i
\(529\) 15.6605 27.1247i 0.680890 1.17934i
\(530\) 0.820637 + 1.42138i 0.0356462 + 0.0617410i
\(531\) −13.5288 + 3.62504i −0.587102 + 0.157313i
\(532\) −18.2646 10.6929i −0.791870 0.463595i
\(533\) −2.88547 1.45078i −0.124984 0.0628402i
\(534\) 4.11514 7.12764i 0.178080 0.308443i
\(535\) −0.918503 + 0.918503i −0.0397104 + 0.0397104i
\(536\) 2.23703 0.0966250
\(537\) −7.82754 −0.337783
\(538\) 0.458872 0.458872i 0.0197834 0.0197834i
\(539\) −3.40478 3.48818i −0.146654 0.150246i
\(540\) 0.105813 + 0.0283524i 0.00455345 + 0.00122009i
\(541\) 6.05411 + 22.5943i 0.260287 + 0.971403i 0.965073 + 0.261983i \(0.0843764\pi\)
−0.704786 + 0.709420i \(0.748957\pi\)
\(542\) −15.9924 9.23324i −0.686934 0.396601i
\(543\) 7.74072i 0.332186i
\(544\) −2.16999 + 8.09850i −0.0930374 + 0.347220i
\(545\) −0.870081 −0.0372702
\(546\) 17.2542 + 3.67985i 0.738411 + 0.157483i
\(547\) 39.6600 1.69574 0.847870 0.530204i \(-0.177885\pi\)
0.847870 + 0.530204i \(0.177885\pi\)
\(548\) −1.55306 + 5.79609i −0.0663433 + 0.247597i
\(549\) 6.50300i 0.277541i
\(550\) −5.56982 3.21574i −0.237498 0.137119i
\(551\) −5.37784 20.0704i −0.229104 0.855026i
\(552\) 7.63228 + 2.04506i 0.324852 + 0.0870437i
\(553\) 16.7094 4.36912i 0.710556 0.185794i
\(554\) 12.6784 12.6784i 0.538655 0.538655i
\(555\) −0.355191 −0.0150770
\(556\) 13.9828 0.593005
\(557\) 8.34321 8.34321i 0.353513 0.353513i −0.507902 0.861415i \(-0.669579\pi\)
0.861415 + 0.507902i \(0.169579\pi\)
\(558\) 8.39395 14.5387i 0.355344 0.615474i
\(559\) 1.81397 8.76494i 0.0767226 0.370717i
\(560\) −0.984234 0.00595366i −0.0415915 0.000251588i
\(561\) 0.832234 0.222996i 0.0351370 0.00941492i
\(562\) −28.8417 49.9553i −1.21661 2.10724i
\(563\) 9.19172 15.9205i 0.387385 0.670970i −0.604712 0.796444i \(-0.706712\pi\)
0.992097 + 0.125474i \(0.0400451\pi\)
\(564\) 0.154011 0.574779i 0.00648505 0.0242025i
\(565\) −0.621668 + 0.621668i −0.0261538 + 0.0261538i
\(566\) −1.98674 + 7.41460i −0.0835088 + 0.311659i
\(567\) 1.85948 + 1.88211i 0.0780907 + 0.0790412i
\(568\) 0.247141 + 0.428061i 0.0103698 + 0.0179610i
\(569\) −11.7154 + 6.76392i −0.491137 + 0.283558i −0.725046 0.688700i \(-0.758182\pi\)
0.233909 + 0.972258i \(0.424848\pi\)
\(570\) 0.568069 + 0.568069i 0.0237938 + 0.0237938i
\(571\) 12.8299 7.40732i 0.536913 0.309987i −0.206914 0.978359i \(-0.566342\pi\)
0.743827 + 0.668372i \(0.233009\pi\)
\(572\) −1.60186 + 3.18596i −0.0669772 + 0.133212i
\(573\) 13.5470i 0.565933i
\(574\) −3.08041 3.11791i −0.128574 0.130139i
\(575\) −18.4038 + 31.8763i −0.767490 + 1.32933i
\(576\) 2.88522i 0.120217i
\(577\) −19.6668 5.26970i −0.818740 0.219381i −0.174944 0.984578i \(-0.555975\pi\)
−0.643795 + 0.765198i \(0.722641\pi\)
\(578\) −27.6338 + 7.40446i −1.14942 + 0.307985i
\(579\) −10.9813 10.9813i −0.456368 0.456368i
\(580\) 0.285770 + 0.285770i 0.0118659 + 0.0118659i
\(581\) 35.7036 + 0.215972i 1.48123 + 0.00896002i
\(582\) −25.9558 14.9856i −1.07590 0.621173i
\(583\) −7.73939 2.07376i −0.320533 0.0858865i
\(584\) −2.72608 4.72171i −0.112806 0.195386i
\(585\) −0.248451 0.124918i −0.0102722 0.00516474i
\(586\) −25.5262 14.7375i −1.05448 0.608802i
\(587\) 7.64015 + 28.5134i 0.315343 + 1.17688i 0.923670 + 0.383189i \(0.125174\pi\)
−0.608327 + 0.793686i \(0.708159\pi\)
\(588\) 8.54942 + 5.07489i 0.352572 + 0.209285i
\(589\) 44.2759 25.5627i 1.82436 1.05329i
\(590\) 1.92976 0.517078i 0.0794470 0.0212877i
\(591\) 3.47059 + 12.9524i 0.142761 + 0.532791i
\(592\) 5.74905 + 21.4557i 0.236285 + 0.881826i
\(593\) −34.5866 + 9.26744i −1.42030 + 0.380568i −0.885590 0.464467i \(-0.846246\pi\)
−0.534710 + 0.845036i \(0.679579\pi\)
\(594\) −1.11529 + 0.643914i −0.0457609 + 0.0264201i
\(595\) 0.124918 + 0.219418i 0.00512112 + 0.00899527i
\(596\) 1.29055 + 4.81638i 0.0528628 + 0.197287i
\(597\) −2.84597 1.64312i −0.116478 0.0672485i
\(598\) 43.9084 + 22.0766i 1.79555 + 0.902781i
\(599\) 3.11170 + 5.38963i 0.127141 + 0.220214i 0.922568 0.385835i \(-0.126087\pi\)
−0.795427 + 0.606049i \(0.792753\pi\)
\(600\) −5.17159 1.38572i −0.211129 0.0565719i
\(601\) −0.0256568 0.0148129i −0.00104656 0.000604232i 0.499477 0.866327i \(-0.333526\pi\)
−0.500523 + 0.865723i \(0.666859\pi\)
\(602\) 6.13698 10.4826i 0.250125 0.427239i
\(603\) 1.47547 + 1.47547i 0.0600857 + 0.0600857i
\(604\) 19.4154 + 19.4154i 0.790002 + 0.790002i
\(605\) 0.783370 0.209903i 0.0318485 0.00853379i
\(606\) −18.0915 4.84759i −0.734915 0.196920i
\(607\) 26.2199i 1.06423i 0.846671 + 0.532117i \(0.178603\pi\)
−0.846671 + 0.532117i \(0.821397\pi\)
\(608\) 19.0822 33.0513i 0.773883 1.34041i
\(609\) 2.46921 + 9.44335i 0.100058 + 0.382664i
\(610\) 0.927591i 0.0375571i
\(611\) −0.678562 + 1.34960i −0.0274517 + 0.0545989i
\(612\) −1.52192 + 0.878680i −0.0615199 + 0.0355185i
\(613\) 19.1804 + 19.1804i 0.774690 + 0.774690i 0.978922 0.204232i \(-0.0654697\pi\)
−0.204232 + 0.978922i \(0.565470\pi\)
\(614\) 13.3117 7.68554i 0.537218 0.310163i
\(615\) 0.0345434 + 0.0598309i 0.00139292 + 0.00241261i
\(616\) 1.40507 1.38817i 0.0566117 0.0559310i
\(617\) −10.0810 + 37.6229i −0.405847 + 1.51464i 0.396641 + 0.917974i \(0.370176\pi\)
−0.802488 + 0.596668i \(0.796491\pi\)
\(618\) 3.85358 3.85358i 0.155014 0.155014i
\(619\) 7.64126 28.5176i 0.307128 1.14622i −0.623970 0.781448i \(-0.714481\pi\)
0.931098 0.364769i \(-0.118852\pi\)
\(620\) −0.497195 + 0.861167i −0.0199678 + 0.0345853i
\(621\) 3.68514 + 6.38284i 0.147879 + 0.256135i
\(622\) 45.9528 12.3130i 1.84254 0.493707i
\(623\) −10.2322 + 5.82531i −0.409943 + 0.233386i
\(624\) −3.52446 + 17.0299i −0.141091 + 0.681742i
\(625\) 12.4554 21.5734i 0.498216 0.862936i
\(626\) 29.5135 29.5135i 1.17960 1.17960i
\(627\) −3.92191 −0.156626
\(628\) −3.59932 −0.143628
\(629\) 4.02916 4.02916i 0.160653 0.160653i
\(630\) −0.265237 0.268465i −0.0105673 0.0106959i
\(631\) 36.5172 + 9.78475i 1.45373 + 0.389525i 0.897318 0.441384i \(-0.145512\pi\)
0.556408 + 0.830909i \(0.312179\pi\)
\(632\) 1.81132 + 6.75995i 0.0720506 + 0.268896i
\(633\) −10.9344 6.31298i −0.434604 0.250919i
\(634\) 20.1056i 0.798497i
\(635\) −0.275599 + 1.02855i −0.0109368 + 0.0408167i
\(636\) 16.3426 0.648028
\(637\) −18.6420 17.0140i −0.738622 0.674120i
\(638\) −4.75111 −0.188098
\(639\) −0.119329 + 0.445340i −0.00472056 + 0.0176174i
\(640\) 0.633709i 0.0250496i
\(641\) 3.59169 + 2.07367i 0.141863 + 0.0819049i 0.569252 0.822163i \(-0.307233\pi\)
−0.427388 + 0.904068i \(0.640566\pi\)
\(642\) 8.06149 + 30.0859i 0.318162 + 1.18740i
\(643\) −39.3048 10.5317i −1.55003 0.415330i −0.620541 0.784174i \(-0.713087\pi\)
−0.929491 + 0.368845i \(0.879753\pi\)
\(644\) 19.4652 + 19.7021i 0.767036 + 0.776372i
\(645\) −0.135388 + 0.135388i −0.00533088 + 0.00533088i
\(646\) −12.8879 −0.507069
\(647\) 35.6971 1.40340 0.701698 0.712474i \(-0.252426\pi\)
0.701698 + 0.712474i \(0.252426\pi\)
\(648\) −0.758075 + 0.758075i −0.0297800 + 0.0297800i
\(649\) −4.87654 + 8.44641i −0.191421 + 0.331551i
\(650\) −29.7521 14.9590i −1.16697 0.586740i
\(651\) −20.8713 + 11.8823i −0.818010 + 0.465704i
\(652\) −19.4518 + 5.21211i −0.761793 + 0.204122i
\(653\) −17.6824 30.6268i −0.691966 1.19852i −0.971193 0.238296i \(-0.923411\pi\)
0.279226 0.960225i \(-0.409922\pi\)
\(654\) −10.4316 + 18.0681i −0.407910 + 0.706520i
\(655\) −0.285171 + 1.06427i −0.0111426 + 0.0415846i
\(656\) 3.05505 3.05505i 0.119280 0.119280i
\(657\) 1.31625 4.91231i 0.0513518 0.191647i
\(658\) −1.45831 + 1.44078i −0.0568510 + 0.0561674i
\(659\) −1.02268 1.77133i −0.0398378 0.0690011i 0.845419 0.534104i \(-0.179351\pi\)
−0.885257 + 0.465103i \(0.846017\pi\)
\(660\) 0.0660616 0.0381407i 0.00257144 0.00148462i
\(661\) 14.5874 + 14.5874i 0.567384 + 0.567384i 0.931395 0.364011i \(-0.118593\pi\)
−0.364011 + 0.931395i \(0.618593\pi\)
\(662\) 34.6728 20.0184i 1.34760 0.778036i
\(663\) 4.23537 1.40131i 0.164488 0.0544225i
\(664\) 14.4676i 0.561453i
\(665\) −0.290739 1.11191i −0.0112744 0.0431182i
\(666\) −4.25848 + 7.37591i −0.165013 + 0.285811i
\(667\) 27.1908i 1.05283i
\(668\) −4.43271 1.18774i −0.171507 0.0459551i
\(669\) 19.5043 5.22617i 0.754082 0.202056i
\(670\) −0.210461 0.210461i −0.00813083 0.00813083i
\(671\) −3.20202 3.20202i −0.123613 0.123613i
\(672\) −9.05777 + 15.4716i −0.349411 + 0.596831i
\(673\) 17.7096 + 10.2246i 0.682655 + 0.394131i 0.800855 0.598859i \(-0.204379\pi\)
−0.118199 + 0.992990i \(0.537712\pi\)
\(674\) 28.0443 + 7.51446i 1.08023 + 0.289446i
\(675\) −2.49703 4.32498i −0.0961106 0.166468i
\(676\) −7.32864 + 16.9473i −0.281871 + 0.651821i
\(677\) −38.1123 22.0042i −1.46478 0.845689i −0.465549 0.885022i \(-0.654143\pi\)
−0.999226 + 0.0393333i \(0.987477\pi\)
\(678\) 5.45623 + 20.3629i 0.209545 + 0.782034i
\(679\) 21.2133 + 37.2612i 0.814091 + 1.42995i
\(680\) −0.0886022 + 0.0511545i −0.00339774 + 0.00196169i
\(681\) 12.3394 3.30632i 0.472845 0.126698i
\(682\) −3.02564 11.2918i −0.115858 0.432387i
\(683\) −1.25566 4.68619i −0.0480465 0.179312i 0.937733 0.347358i \(-0.112921\pi\)
−0.985779 + 0.168046i \(0.946254\pi\)
\(684\) 7.72682 2.07040i 0.295443 0.0791636i
\(685\) −0.282194 + 0.162925i −0.0107821 + 0.00622504i
\(686\) −16.5847 29.9686i −0.633206 1.14421i
\(687\) 3.18409 + 11.8832i 0.121481 + 0.453371i
\(688\) 10.3696 + 5.98690i 0.395338 + 0.228248i
\(689\) −40.6259 8.40782i −1.54772 0.320312i
\(690\) −0.525649 0.910452i −0.0200111 0.0346603i
\(691\) 44.7917 + 12.0019i 1.70396 + 0.456574i 0.973931 0.226846i \(-0.0728413\pi\)
0.730026 + 0.683420i \(0.239508\pi\)
\(692\) 0.785200 + 0.453336i 0.0298488 + 0.0172332i
\(693\) 1.84232 + 0.0111443i 0.0699841 + 0.000423335i
\(694\) 26.4517 + 26.4517i 1.00409 + 1.00409i
\(695\) 0.536916 + 0.536916i 0.0203664 + 0.0203664i
\(696\) −3.82040 + 1.02367i −0.144812 + 0.0388022i
\(697\) −1.07055 0.286852i −0.0405499 0.0108653i
\(698\) 42.8400i 1.62152i
\(699\) −0.0208505 + 0.0361142i −0.000788640 + 0.00136596i
\(700\) −13.1895 13.3500i −0.498516 0.504583i
\(701\) 16.7923i 0.634236i 0.948386 + 0.317118i \(0.102715\pi\)
−0.948386 + 0.317118i \(0.897285\pi\)
\(702\) −5.57281 + 3.66167i −0.210332 + 0.138201i
\(703\) −22.4624 + 12.9687i −0.847186 + 0.489123i
\(704\) −1.42065 1.42065i −0.0535429 0.0535429i
\(705\) 0.0279842 0.0161567i 0.00105395 0.000608496i
\(706\) 11.8431 + 20.5128i 0.445720 + 0.772009i
\(707\) 18.8316 + 19.0608i 0.708236 + 0.716857i
\(708\) 5.14869 19.2152i 0.193500 0.722151i
\(709\) −4.86028 + 4.86028i −0.182532 + 0.182532i −0.792458 0.609926i \(-0.791199\pi\)
0.609926 + 0.792458i \(0.291199\pi\)
\(710\) 0.0170211 0.0635235i 0.000638789 0.00238399i
\(711\) −3.26395 + 5.65332i −0.122408 + 0.212016i
\(712\) −2.38550 4.13180i −0.0894003 0.154846i
\(713\) −64.6235 + 17.3158i −2.42017 + 0.648483i
\(714\) 6.05412 + 0.0366215i 0.226570 + 0.00137053i
\(715\) −0.183844 + 0.0608265i −0.00687536 + 0.00227478i
\(716\) 5.55877 9.62808i 0.207741 0.359818i
\(717\) −1.45212 + 1.45212i −0.0542303 + 0.0542303i
\(718\) −49.7939 −1.85829
\(719\) 37.5443 1.40016 0.700082 0.714062i \(-0.253147\pi\)
0.700082 + 0.714062i \(0.253147\pi\)
\(720\) 0.263052 0.263052i 0.00980339 0.00980339i
\(721\) −7.54284 + 1.97227i −0.280910 + 0.0734513i
\(722\) 22.7247 + 6.08906i 0.845725 + 0.226611i
\(723\) −0.714928 2.66815i −0.0265885 0.0992295i
\(724\) 9.52129 + 5.49712i 0.353856 + 0.204299i
\(725\) 18.4243i 0.684261i
\(726\) 5.03318 18.7841i 0.186799 0.697143i
\(727\) 23.0678 0.855536 0.427768 0.903888i \(-0.359300\pi\)
0.427768 + 0.903888i \(0.359300\pi\)
\(728\) 6.84840 7.59544i 0.253819 0.281506i
\(729\) −1.00000 −0.0370370
\(730\) −0.187750 + 0.700694i −0.00694895 + 0.0259338i
\(731\) 3.07157i 0.113606i
\(732\) 7.99887 + 4.61815i 0.295647 + 0.170692i
\(733\) −4.69555 17.5240i −0.173434 0.647265i −0.996813 0.0797732i \(-0.974580\pi\)
0.823379 0.567492i \(-0.192086\pi\)
\(734\) −44.3891 11.8940i −1.63843 0.439017i
\(735\) 0.133416 + 0.523149i 0.00492111 + 0.0192966i
\(736\) −35.3145 + 35.3145i −1.30171 + 1.30171i
\(737\) 1.45301 0.0535224
\(738\) 1.65660 0.0609803
\(739\) 7.28549 7.28549i 0.268001 0.268001i −0.560293 0.828294i \(-0.689312\pi\)
0.828294 + 0.560293i \(0.189312\pi\)
\(740\) 0.252241 0.436894i 0.00927256 0.0160606i
\(741\) −20.2731 + 1.17154i −0.744753 + 0.0430374i
\(742\) −48.5874 28.4452i −1.78370 1.04426i
\(743\) −37.7291 + 10.1095i −1.38415 + 0.370881i −0.872625 0.488390i \(-0.837584\pi\)
−0.511520 + 0.859271i \(0.670918\pi\)
\(744\) −4.86587 8.42793i −0.178391 0.308983i
\(745\) −0.135386 + 0.234495i −0.00496015 + 0.00859123i
\(746\) 16.0324 59.8335i 0.586986 2.19066i
\(747\) −9.54235 + 9.54235i −0.349136 + 0.349136i
\(748\) −0.316725 + 1.18203i −0.0115806 + 0.0432194i
\(749\) 11.7928 42.9701i 0.430901 1.57009i
\(750\) 0.712778 + 1.23457i 0.0260270 + 0.0450800i
\(751\) −27.7372 + 16.0141i −1.01214 + 0.584362i −0.911819 0.410593i \(-0.865322\pi\)
−0.100326 + 0.994955i \(0.531989\pi\)
\(752\) −1.42891 1.42891i −0.0521071 0.0521071i
\(753\) 20.6631 11.9299i 0.753006 0.434748i
\(754\) −24.5594 + 1.41923i −0.894402 + 0.0516853i
\(755\) 1.49103i 0.0542643i
\(756\) −3.63557 + 0.950615i −0.132224 + 0.0345735i
\(757\) 3.10808 5.38335i 0.112965 0.195661i −0.803999 0.594630i \(-0.797299\pi\)
0.916964 + 0.398969i \(0.130632\pi\)
\(758\) 5.05173i 0.183487i
\(759\) 4.95738 + 1.32833i 0.179941 + 0.0482152i
\(760\) 0.449836 0.120533i 0.0163173 0.00437220i
\(761\) 19.7740 + 19.7740i 0.716807 + 0.716807i 0.967950 0.251143i \(-0.0808063\pi\)
−0.251143 + 0.967950i \(0.580806\pi\)
\(762\) 18.0546 + 18.0546i 0.654051 + 0.654051i
\(763\) 25.9380 14.7668i 0.939017 0.534595i
\(764\) −16.6631 9.62047i −0.602851 0.348056i
\(765\) −0.0921787 0.0246992i −0.00333273 0.000893002i
\(766\) −19.1870 33.2329i −0.693256 1.20075i
\(767\) −22.6847 + 45.1179i −0.819098 + 1.62911i
\(768\) −18.1570 10.4829i −0.655184 0.378270i
\(769\) 7.77893 + 29.0314i 0.280515 + 1.04690i 0.952054 + 0.305929i \(0.0989669\pi\)
−0.671539 + 0.740969i \(0.734366\pi\)
\(770\) −0.262790 0.00158962i −0.00947028 5.72860e-5i
\(771\) −5.81730 + 3.35862i −0.209505 + 0.120958i
\(772\) 21.3058 5.70886i 0.766811 0.205466i
\(773\) 3.42855 + 12.7955i 0.123316 + 0.460222i 0.999774