Properties

Label 114.2.l.b.29.1
Level $114$
Weight $2$
Character 114.29
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \(x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.1
Root \(1.47158 + 0.913487i\) of defining polynomial
Character \(\chi\) \(=\) 114.29
Dual form 114.2.l.b.59.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173648 + 0.984808i) q^{2} +(-1.69526 - 0.355087i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.882820 + 2.42553i) q^{5} +(0.0553136 - 1.73117i) q^{6} +(-1.58376 + 2.74316i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.74783 + 1.20393i) q^{9} +O(q^{10})\) \(q+(0.173648 + 0.984808i) q^{2} +(-1.69526 - 0.355087i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.882820 + 2.42553i) q^{5} +(0.0553136 - 1.73117i) q^{6} +(-1.58376 + 2.74316i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.74783 + 1.20393i) q^{9} +(-2.54198 - 0.448219i) q^{10} +(-2.16590 + 1.25049i) q^{11} +(1.71447 - 0.246141i) q^{12} +(2.71907 - 3.24046i) q^{13} +(-2.97650 - 1.08336i) q^{14} +(2.35788 - 3.79843i) q^{15} +(0.766044 - 0.642788i) q^{16} +(1.32278 - 0.233243i) q^{17} +(-0.708487 + 2.91514i) q^{18} +(3.14841 + 3.01455i) q^{19} -2.58119i q^{20} +(3.65896 - 4.08800i) q^{21} +(-1.60759 - 1.91586i) q^{22} +(-1.30503 - 3.58554i) q^{23} +(0.540116 + 1.64568i) q^{24} +(-1.27359 - 1.06867i) q^{25} +(3.66340 + 2.11506i) q^{26} +(-4.23078 - 3.01670i) q^{27} +(0.550036 - 3.11941i) q^{28} +(-1.32242 + 7.49981i) q^{29} +(4.15016 + 1.66247i) q^{30} +(6.89193 + 3.97906i) q^{31} +(0.766044 + 0.642788i) q^{32} +(4.11581 - 1.35082i) q^{33} +(0.459398 + 1.26219i) q^{34} +(-5.25543 - 6.26318i) q^{35} +(-2.99388 - 0.191514i) q^{36} +4.10469i q^{37} +(-2.42204 + 3.62405i) q^{38} +(-5.76019 + 4.52793i) q^{39} +(2.54198 - 0.448219i) q^{40} +(4.95792 - 4.16019i) q^{41} +(4.66127 + 2.89350i) q^{42} +(-11.7465 - 4.27537i) q^{43} +(1.60759 - 1.91586i) q^{44} +(-5.34601 + 5.60207i) q^{45} +(3.30445 - 1.90782i) q^{46} +(6.16940 + 1.08783i) q^{47} +(-1.52689 + 0.817681i) q^{48} +(-1.51662 - 2.62686i) q^{49} +(0.831277 - 1.43981i) q^{50} +(-2.32529 - 0.0742967i) q^{51} +(-1.44679 + 3.97502i) q^{52} +(-3.46508 + 1.26118i) q^{53} +(2.23620 - 4.69035i) q^{54} +(-1.12098 - 6.35742i) q^{55} +3.16753 q^{56} +(-4.26694 - 6.22842i) q^{57} -7.61550 q^{58} +(-1.54335 - 8.75275i) q^{59} +(-0.916549 + 4.37580i) q^{60} +(-0.133301 + 0.0485177i) q^{61} +(-2.72184 + 7.47818i) q^{62} +(-7.65449 + 5.63098i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(5.45938 + 9.45593i) q^{65} +(2.04500 + 3.81871i) q^{66} +(-4.48795 - 0.791347i) q^{67} +(-1.16324 + 0.671595i) q^{68} +(0.939187 + 6.54182i) q^{69} +(5.25543 - 6.26318i) q^{70} +(8.59275 + 3.12750i) q^{71} +(-0.331277 - 2.98165i) q^{72} +(-1.67672 + 1.40694i) q^{73} +(-4.04233 + 0.712771i) q^{74} +(1.77960 + 2.26391i) q^{75} +(-3.98957 - 1.75594i) q^{76} -7.92190i q^{77} +(-5.45938 - 4.88641i) q^{78} +(6.41515 + 7.64528i) q^{79} +(0.882820 + 2.42553i) q^{80} +(6.10110 + 6.61639i) q^{81} +(4.95792 + 4.16019i) q^{82} +(12.3308 + 7.11920i) q^{83} +(-2.04012 + 5.09290i) q^{84} +(-0.602044 + 3.41436i) q^{85} +(2.17066 - 12.3104i) q^{86} +(4.90493 - 12.2446i) q^{87} +(2.16590 + 1.25049i) q^{88} +(-12.7492 - 10.6978i) q^{89} +(-6.44529 - 4.29200i) q^{90} +(4.58274 + 12.5910i) q^{91} +(2.45265 + 2.92296i) q^{92} +(-10.2707 - 9.19278i) q^{93} +6.26457i q^{94} +(-10.0914 + 4.97524i) q^{95} +(-1.07040 - 1.36171i) q^{96} +(0.538573 - 0.0949649i) q^{97} +(2.32360 - 1.94973i) q^{98} +(-7.45703 + 0.828515i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} + O(q^{10}) \) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} - 12q^{13} - 12q^{14} + 18q^{15} + 6q^{17} - 6q^{19} - 24q^{22} + 3q^{24} - 18q^{25} + 18q^{26} - 6q^{27} + 6q^{28} - 6q^{29} - 24q^{33} - 6q^{34} - 24q^{35} + 3q^{38} + 6q^{39} + 3q^{41} - 6q^{43} + 24q^{44} - 54q^{45} + 18q^{46} + 30q^{47} + 21q^{49} + 3q^{50} + 42q^{51} - 6q^{52} - 60q^{53} + 54q^{54} + 30q^{55} + 12q^{57} + 12q^{58} + 3q^{59} + 24q^{60} + 54q^{61} + 6q^{62} - 18q^{63} - 9q^{64} + 24q^{65} - 27q^{66} - 15q^{67} - 27q^{68} + 30q^{69} + 24q^{70} + 36q^{71} + 6q^{72} - 42q^{73} + 6q^{74} - 24q^{78} - 6q^{79} - 3q^{81} + 3q^{82} + 36q^{83} - 30q^{84} - 6q^{86} - 60q^{89} - 18q^{91} - 66q^{93} + 6q^{95} + 9q^{97} + 12q^{98} - 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 + 0.984808i 0.122788 + 0.696364i
\(3\) −1.69526 0.355087i −0.978760 0.205010i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) −0.882820 + 2.42553i −0.394809 + 1.08473i 0.569970 + 0.821666i \(0.306955\pi\)
−0.964779 + 0.263063i \(0.915267\pi\)
\(6\) 0.0553136 1.73117i 0.0225817 0.706746i
\(7\) −1.58376 + 2.74316i −0.598607 + 1.03682i 0.394420 + 0.918930i \(0.370945\pi\)
−0.993027 + 0.117887i \(0.962388\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 2.74783 + 1.20393i 0.915942 + 0.401311i
\(10\) −2.54198 0.448219i −0.803844 0.141739i
\(11\) −2.16590 + 1.25049i −0.653045 + 0.377036i −0.789622 0.613594i \(-0.789723\pi\)
0.136577 + 0.990629i \(0.456390\pi\)
\(12\) 1.71447 0.246141i 0.494925 0.0710547i
\(13\) 2.71907 3.24046i 0.754135 0.898743i −0.243327 0.969944i \(-0.578239\pi\)
0.997462 + 0.0712015i \(0.0226833\pi\)
\(14\) −2.97650 1.08336i −0.795504 0.289540i
\(15\) 2.35788 3.79843i 0.608803 0.980749i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 1.32278 0.233243i 0.320822 0.0565696i −0.0109180 0.999940i \(-0.503475\pi\)
0.331740 + 0.943371i \(0.392364\pi\)
\(18\) −0.708487 + 2.91514i −0.166992 + 0.687105i
\(19\) 3.14841 + 3.01455i 0.722294 + 0.691586i
\(20\) 2.58119i 0.577172i
\(21\) 3.65896 4.08800i 0.798450 0.892075i
\(22\) −1.60759 1.91586i −0.342740 0.408462i
\(23\) −1.30503 3.58554i −0.272117 0.747636i −0.998197 0.0600255i \(-0.980882\pi\)
0.726080 0.687611i \(-0.241340\pi\)
\(24\) 0.540116 + 1.64568i 0.110251 + 0.335924i
\(25\) −1.27359 1.06867i −0.254718 0.213734i
\(26\) 3.66340 + 2.11506i 0.718451 + 0.414798i
\(27\) −4.23078 3.01670i −0.814215 0.580564i
\(28\) 0.550036 3.11941i 0.103947 0.589513i
\(29\) −1.32242 + 7.49981i −0.245567 + 1.39268i 0.573606 + 0.819132i \(0.305544\pi\)
−0.819172 + 0.573547i \(0.805567\pi\)
\(30\) 4.15016 + 1.66247i 0.757712 + 0.303525i
\(31\) 6.89193 + 3.97906i 1.23783 + 0.714660i 0.968650 0.248431i \(-0.0799149\pi\)
0.269177 + 0.963091i \(0.413248\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) 4.11581 1.35082i 0.716470 0.235147i
\(34\) 0.459398 + 1.26219i 0.0787861 + 0.216463i
\(35\) −5.25543 6.26318i −0.888330 1.05867i
\(36\) −2.99388 0.191514i −0.498980 0.0319190i
\(37\) 4.10469i 0.674806i 0.941360 + 0.337403i \(0.109549\pi\)
−0.941360 + 0.337403i \(0.890451\pi\)
\(38\) −2.42204 + 3.62405i −0.392907 + 0.587898i
\(39\) −5.76019 + 4.52793i −0.922368 + 0.725048i
\(40\) 2.54198 0.448219i 0.401922 0.0708697i
\(41\) 4.95792 4.16019i 0.774297 0.649712i −0.167509 0.985871i \(-0.553572\pi\)
0.941805 + 0.336158i \(0.109128\pi\)
\(42\) 4.66127 + 2.89350i 0.719249 + 0.446476i
\(43\) −11.7465 4.27537i −1.79132 0.651987i −0.999130 0.0417144i \(-0.986718\pi\)
−0.792191 0.610273i \(-0.791060\pi\)
\(44\) 1.60759 1.91586i 0.242354 0.288826i
\(45\) −5.34601 + 5.60207i −0.796935 + 0.835108i
\(46\) 3.30445 1.90782i 0.487214 0.281293i
\(47\) 6.16940 + 1.08783i 0.899899 + 0.158676i 0.604414 0.796671i \(-0.293407\pi\)
0.295486 + 0.955347i \(0.404519\pi\)
\(48\) −1.52689 + 0.817681i −0.220388 + 0.118022i
\(49\) −1.51662 2.62686i −0.216660 0.375266i
\(50\) 0.831277 1.43981i 0.117560 0.203621i
\(51\) −2.32529 0.0742967i −0.325605 0.0104036i
\(52\) −1.44679 + 3.97502i −0.200633 + 0.551236i
\(53\) −3.46508 + 1.26118i −0.475965 + 0.173237i −0.568853 0.822440i \(-0.692612\pi\)
0.0928877 + 0.995677i \(0.470390\pi\)
\(54\) 2.23620 4.69035i 0.304308 0.638276i
\(55\) −1.12098 6.35742i −0.151153 0.857234i
\(56\) 3.16753 0.423279
\(57\) −4.26694 6.22842i −0.565170 0.824974i
\(58\) −7.61550 −0.999964
\(59\) −1.54335 8.75275i −0.200927 1.13951i −0.903722 0.428119i \(-0.859176\pi\)
0.702796 0.711392i \(-0.251935\pi\)
\(60\) −0.916549 + 4.37580i −0.118326 + 0.564913i
\(61\) −0.133301 + 0.0485177i −0.0170675 + 0.00621206i −0.350540 0.936548i \(-0.614002\pi\)
0.333472 + 0.942760i \(0.391780\pi\)
\(62\) −2.72184 + 7.47818i −0.345673 + 0.949730i
\(63\) −7.65449 + 5.63098i −0.964375 + 0.709437i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 5.45938 + 9.45593i 0.677153 + 1.17286i
\(66\) 2.04500 + 3.81871i 0.251722 + 0.470051i
\(67\) −4.48795 0.791347i −0.548291 0.0966784i −0.107361 0.994220i \(-0.534240\pi\)
−0.440930 + 0.897542i \(0.645351\pi\)
\(68\) −1.16324 + 0.671595i −0.141063 + 0.0814429i
\(69\) 0.939187 + 6.54182i 0.113065 + 0.787543i
\(70\) 5.25543 6.26318i 0.628144 0.748593i
\(71\) 8.59275 + 3.12750i 1.01977 + 0.371166i 0.797178 0.603745i \(-0.206325\pi\)
0.222594 + 0.974911i \(0.428548\pi\)
\(72\) −0.331277 2.98165i −0.0390414 0.351391i
\(73\) −1.67672 + 1.40694i −0.196245 + 0.164670i −0.735615 0.677399i \(-0.763107\pi\)
0.539370 + 0.842069i \(0.318662\pi\)
\(74\) −4.04233 + 0.712771i −0.469911 + 0.0828580i
\(75\) 1.77960 + 2.26391i 0.205490 + 0.261414i
\(76\) −3.98957 1.75594i −0.457635 0.201420i
\(77\) 7.92190i 0.902784i
\(78\) −5.45938 4.88641i −0.618153 0.553277i
\(79\) 6.41515 + 7.64528i 0.721760 + 0.860161i 0.994801 0.101842i \(-0.0324736\pi\)
−0.273040 + 0.962003i \(0.588029\pi\)
\(80\) 0.882820 + 2.42553i 0.0987023 + 0.271182i
\(81\) 6.10110 + 6.61639i 0.677900 + 0.735155i
\(82\) 4.95792 + 4.16019i 0.547511 + 0.459416i
\(83\) 12.3308 + 7.11920i 1.35348 + 0.781433i 0.988735 0.149673i \(-0.0478222\pi\)
0.364747 + 0.931107i \(0.381156\pi\)
\(84\) −2.04012 + 5.09290i −0.222595 + 0.555681i
\(85\) −0.602044 + 3.41436i −0.0653008 + 0.370339i
\(86\) 2.17066 12.3104i 0.234068 1.32747i
\(87\) 4.90493 12.2446i 0.525864 1.31275i
\(88\) 2.16590 + 1.25049i 0.230886 + 0.133302i
\(89\) −12.7492 10.6978i −1.35141 1.13397i −0.978533 0.206089i \(-0.933926\pi\)
−0.372879 0.927880i \(-0.621629\pi\)
\(90\) −6.44529 4.29200i −0.679393 0.452416i
\(91\) 4.58274 + 12.5910i 0.480402 + 1.31989i
\(92\) 2.45265 + 2.92296i 0.255707 + 0.304739i
\(93\) −10.2707 9.19278i −1.06502 0.953247i
\(94\) 6.26457i 0.646141i
\(95\) −10.0914 + 4.97524i −1.03535 + 0.510448i
\(96\) −1.07040 1.36171i −0.109247 0.138979i
\(97\) 0.538573 0.0949649i 0.0546838 0.00964223i −0.146239 0.989249i \(-0.546717\pi\)
0.200923 + 0.979607i \(0.435606\pi\)
\(98\) 2.32360 1.94973i 0.234719 0.196952i
\(99\) −7.45703 + 0.828515i −0.749460 + 0.0832689i
\(100\) 1.56229 + 0.568627i 0.156229 + 0.0568627i
\(101\) 7.56338 9.01368i 0.752584 0.896895i −0.244771 0.969581i \(-0.578713\pi\)
0.997355 + 0.0726860i \(0.0231571\pi\)
\(102\) −0.330614 2.30286i −0.0327357 0.228017i
\(103\) 6.77528 3.91171i 0.667588 0.385432i −0.127574 0.991829i \(-0.540719\pi\)
0.795162 + 0.606397i \(0.207386\pi\)
\(104\) −4.16586 0.734553i −0.408496 0.0720289i
\(105\) 6.68536 + 12.4839i 0.652424 + 1.21830i
\(106\) −1.84373 3.19343i −0.179079 0.310174i
\(107\) 2.82951 4.90085i 0.273539 0.473783i −0.696227 0.717822i \(-0.745139\pi\)
0.969765 + 0.244039i \(0.0784725\pi\)
\(108\) 5.00741 + 1.38776i 0.481838 + 0.133537i
\(109\) 5.64501 15.5095i 0.540694 1.48554i −0.305251 0.952272i \(-0.598740\pi\)
0.845944 0.533271i \(-0.179038\pi\)
\(110\) 6.06618 2.20791i 0.578387 0.210516i
\(111\) 1.45752 6.95852i 0.138342 0.660473i
\(112\) 0.550036 + 3.11941i 0.0519735 + 0.294756i
\(113\) 5.15697 0.485127 0.242564 0.970136i \(-0.422012\pi\)
0.242564 + 0.970136i \(0.422012\pi\)
\(114\) 5.39285 5.28367i 0.505087 0.494861i
\(115\) 9.84893 0.918417
\(116\) −1.32242 7.49981i −0.122783 0.696339i
\(117\) 11.3728 5.63065i 1.05142 0.520554i
\(118\) 8.35178 3.03980i 0.768843 0.279836i
\(119\) −1.45516 + 3.99801i −0.133394 + 0.366497i
\(120\) −4.46848 0.142775i −0.407914 0.0130335i
\(121\) −2.37257 + 4.10941i −0.215688 + 0.373583i
\(122\) −0.0709282 0.122851i −0.00642154 0.0111224i
\(123\) −9.88220 + 5.29211i −0.891048 + 0.477174i
\(124\) −7.83721 1.38191i −0.703802 0.124099i
\(125\) −7.46045 + 4.30729i −0.667283 + 0.385256i
\(126\) −6.87462 6.56039i −0.612440 0.584446i
\(127\) 5.03745 6.00340i 0.447001 0.532715i −0.494746 0.869038i \(-0.664739\pi\)
0.941747 + 0.336322i \(0.109183\pi\)
\(128\) −0.939693 0.342020i −0.0830579 0.0302306i
\(129\) 18.3952 + 11.4189i 1.61961 + 1.00538i
\(130\) −8.36426 + 7.01845i −0.733594 + 0.615559i
\(131\) −4.43285 + 0.781631i −0.387300 + 0.0682914i −0.363908 0.931435i \(-0.618558\pi\)
−0.0233919 + 0.999726i \(0.507447\pi\)
\(132\) −3.40559 + 2.67704i −0.296418 + 0.233006i
\(133\) −13.2557 + 3.86224i −1.14942 + 0.334898i
\(134\) 4.55719i 0.393681i
\(135\) 11.0521 7.59868i 0.951214 0.653990i
\(136\) −0.863386 1.02894i −0.0740347 0.0882312i
\(137\) −2.69063 7.39245i −0.229876 0.631580i 0.770104 0.637919i \(-0.220204\pi\)
−0.999980 + 0.00633905i \(0.997982\pi\)
\(138\) −6.27935 + 2.06089i −0.534534 + 0.175435i
\(139\) −5.76780 4.83976i −0.489219 0.410503i 0.364528 0.931193i \(-0.381230\pi\)
−0.853746 + 0.520689i \(0.825675\pi\)
\(140\) 7.08063 + 4.08800i 0.598422 + 0.345499i
\(141\) −10.0725 4.03483i −0.848255 0.339794i
\(142\) −1.58788 + 9.00529i −0.133252 + 0.755707i
\(143\) −1.83710 + 10.4187i −0.153626 + 0.871255i
\(144\) 2.87883 0.844003i 0.239902 0.0703336i
\(145\) −17.0235 9.82854i −1.41373 0.816216i
\(146\) −1.67672 1.40694i −0.138767 0.116439i
\(147\) 1.63830 + 4.99175i 0.135125 + 0.411713i
\(148\) −1.40389 3.85714i −0.115399 0.317055i
\(149\) 8.79633 + 10.4831i 0.720624 + 0.858806i 0.994691 0.102905i \(-0.0328137\pi\)
−0.274068 + 0.961710i \(0.588369\pi\)
\(150\) −1.92049 + 2.14569i −0.156808 + 0.175195i
\(151\) 8.63653i 0.702831i −0.936220 0.351415i \(-0.885700\pi\)
0.936220 0.351415i \(-0.114300\pi\)
\(152\) 1.03648 4.23388i 0.0840695 0.343413i
\(153\) 3.91559 + 0.951632i 0.316557 + 0.0769349i
\(154\) 7.80155 1.37562i 0.628667 0.110851i
\(155\) −15.7356 + 13.2038i −1.26392 + 1.06055i
\(156\) 3.86416 6.22496i 0.309381 0.498396i
\(157\) −3.22785 1.17484i −0.257610 0.0937625i 0.209987 0.977704i \(-0.432658\pi\)
−0.467597 + 0.883942i \(0.654880\pi\)
\(158\) −6.41515 + 7.64528i −0.510362 + 0.608225i
\(159\) 6.32204 0.907634i 0.501371 0.0719800i
\(160\) −2.23538 + 1.29060i −0.176722 + 0.102031i
\(161\) 11.9026 + 2.09874i 0.938053 + 0.165404i
\(162\) −5.45643 + 7.15733i −0.428698 + 0.562333i
\(163\) 3.83308 + 6.63909i 0.300230 + 0.520014i 0.976188 0.216926i \(-0.0696032\pi\)
−0.675958 + 0.736940i \(0.736270\pi\)
\(164\) −3.23605 + 5.60501i −0.252693 + 0.437677i
\(165\) −0.357076 + 11.1755i −0.0277983 + 0.870014i
\(166\) −4.86982 + 13.3797i −0.377971 + 1.03847i
\(167\) −2.20429 + 0.802294i −0.170573 + 0.0620834i −0.425895 0.904773i \(-0.640041\pi\)
0.255322 + 0.966856i \(0.417818\pi\)
\(168\) −5.36979 1.12475i −0.414288 0.0867763i
\(169\) −0.849826 4.81960i −0.0653712 0.370739i
\(170\) −3.46703 −0.265909
\(171\) 5.02195 + 12.0739i 0.384038 + 0.923317i
\(172\) 12.5003 0.953142
\(173\) 2.59056 + 14.6918i 0.196956 + 1.11700i 0.909605 + 0.415474i \(0.136384\pi\)
−0.712649 + 0.701521i \(0.752505\pi\)
\(174\) 12.9103 + 2.70417i 0.978725 + 0.205002i
\(175\) 4.94860 1.80114i 0.374079 0.136154i
\(176\) −0.855383 + 2.35014i −0.0644769 + 0.177149i
\(177\) −0.491615 + 15.3862i −0.0369520 + 1.15650i
\(178\) 8.32145 14.4132i 0.623719 1.08031i
\(179\) −0.0974666 0.168817i −0.00728500 0.0126180i 0.862360 0.506296i \(-0.168986\pi\)
−0.869645 + 0.493678i \(0.835652\pi\)
\(180\) 3.10758 7.09267i 0.231625 0.528656i
\(181\) −7.00507 1.23518i −0.520683 0.0918105i −0.0928709 0.995678i \(-0.529604\pi\)
−0.427812 + 0.903868i \(0.640715\pi\)
\(182\) −11.6039 + 6.69952i −0.860139 + 0.496602i
\(183\) 0.243209 0.0349166i 0.0179785 0.00258111i
\(184\) −2.45265 + 2.92296i −0.180812 + 0.215483i
\(185\) −9.95603 3.62370i −0.731982 0.266420i
\(186\) 7.26963 11.7110i 0.533035 0.858691i
\(187\) −2.57336 + 2.15930i −0.188183 + 0.157904i
\(188\) −6.16940 + 1.08783i −0.449950 + 0.0793382i
\(189\) 14.9759 6.82798i 1.08933 0.496662i
\(190\) −6.65200 9.07411i −0.482587 0.658305i
\(191\) 11.2480i 0.813878i 0.913455 + 0.406939i \(0.133404\pi\)
−0.913455 + 0.406939i \(0.866596\pi\)
\(192\) 1.15515 1.29060i 0.0833655 0.0931408i
\(193\) −10.3664 12.3541i −0.746187 0.889271i 0.250704 0.968064i \(-0.419338\pi\)
−0.996891 + 0.0787930i \(0.974893\pi\)
\(194\) 0.187044 + 0.513900i 0.0134290 + 0.0368959i
\(195\) −5.89740 17.9688i −0.422322 1.28677i
\(196\) 2.32360 + 1.94973i 0.165971 + 0.139266i
\(197\) −19.7987 11.4308i −1.41060 0.814411i −0.415157 0.909750i \(-0.636273\pi\)
−0.995445 + 0.0953383i \(0.969607\pi\)
\(198\) −2.11083 7.19987i −0.150010 0.511673i
\(199\) 0.0579780 0.328809i 0.00410995 0.0233087i −0.982684 0.185290i \(-0.940677\pi\)
0.986794 + 0.161982i \(0.0517885\pi\)
\(200\) −0.288700 + 1.63730i −0.0204141 + 0.115774i
\(201\) 7.32726 + 2.93516i 0.516825 + 0.207030i
\(202\) 10.1901 + 5.88326i 0.716974 + 0.413945i
\(203\) −18.4788 15.5055i −1.29696 1.08827i
\(204\) 2.21047 0.725479i 0.154764 0.0507937i
\(205\) 5.71370 + 15.6983i 0.399062 + 1.09641i
\(206\) 5.02879 + 5.99308i 0.350373 + 0.417558i
\(207\) 0.730751 11.4236i 0.0507907 0.793995i
\(208\) 4.23012i 0.293306i
\(209\) −10.5888 2.59220i −0.732443 0.179306i
\(210\) −11.1333 + 8.75159i −0.768271 + 0.603917i
\(211\) 2.52603 0.445407i 0.173899 0.0306631i −0.0860206 0.996293i \(-0.527415\pi\)
0.259919 + 0.965630i \(0.416304\pi\)
\(212\) 2.82476 2.37025i 0.194005 0.162790i
\(213\) −13.4564 8.35311i −0.922019 0.572346i
\(214\) 5.31773 + 1.93550i 0.363513 + 0.132308i
\(215\) 20.7400 24.7170i 1.41446 1.68569i
\(216\) −0.497145 + 5.17232i −0.0338265 + 0.351931i
\(217\) −21.8304 + 12.6038i −1.48194 + 0.855600i
\(218\) 16.2542 + 2.86605i 1.10087 + 0.194113i
\(219\) 3.34207 1.78974i 0.225836 0.120940i
\(220\) 3.22774 + 5.59062i 0.217614 + 0.376919i
\(221\) 2.84093 4.92064i 0.191102 0.330998i
\(222\) 7.10590 + 0.227045i 0.476917 + 0.0152383i
\(223\) 2.28294 6.27232i 0.152877 0.420026i −0.839486 0.543382i \(-0.817144\pi\)
0.992362 + 0.123356i \(0.0393658\pi\)
\(224\) −2.97650 + 1.08336i −0.198876 + 0.0723849i
\(225\) −2.21300 4.46983i −0.147533 0.297989i
\(226\) 0.895499 + 5.07863i 0.0595677 + 0.337825i
\(227\) 20.0547 1.33108 0.665539 0.746363i \(-0.268202\pi\)
0.665539 + 0.746363i \(0.268202\pi\)
\(228\) 6.13986 + 4.39342i 0.406622 + 0.290961i
\(229\) 16.5068 1.09080 0.545400 0.838176i \(-0.316378\pi\)
0.545400 + 0.838176i \(0.316378\pi\)
\(230\) 1.71025 + 9.69930i 0.112770 + 0.639553i
\(231\) −2.81297 + 13.4297i −0.185080 + 0.883609i
\(232\) 7.15623 2.60466i 0.469830 0.171004i
\(233\) −2.12137 + 5.82843i −0.138976 + 0.381833i −0.989582 0.143970i \(-0.954013\pi\)
0.850606 + 0.525803i \(0.176235\pi\)
\(234\) 7.51998 + 10.2223i 0.491597 + 0.668253i
\(235\) −8.08503 + 14.0037i −0.527409 + 0.913500i
\(236\) 4.44389 + 7.69704i 0.289272 + 0.501035i
\(237\) −8.16062 15.2387i −0.530089 0.989859i
\(238\) −4.18996 0.738802i −0.271595 0.0478895i
\(239\) −0.498666 + 0.287905i −0.0322560 + 0.0186230i −0.516041 0.856564i \(-0.672595\pi\)
0.483785 + 0.875187i \(0.339262\pi\)
\(240\) −0.635337 4.42538i −0.0410108 0.285657i
\(241\) −1.09166 + 1.30099i −0.0703198 + 0.0838039i −0.800058 0.599923i \(-0.795198\pi\)
0.729738 + 0.683727i \(0.239642\pi\)
\(242\) −4.45897 1.62293i −0.286634 0.104326i
\(243\) −7.99356 13.3829i −0.512787 0.858516i
\(244\) 0.108668 0.0911835i 0.00695677 0.00583743i
\(245\) 7.71043 1.35956i 0.492601 0.0868589i
\(246\) −6.92774 8.81310i −0.441697 0.561903i
\(247\) 18.3293 2.00550i 1.16627 0.127607i
\(248\) 7.95811i 0.505341i
\(249\) −18.3760 16.4474i −1.16453 1.04231i
\(250\) −5.53735 6.59916i −0.350213 0.417367i
\(251\) 2.05161 + 5.63675i 0.129496 + 0.355789i 0.987449 0.157941i \(-0.0504856\pi\)
−0.857952 + 0.513730i \(0.828263\pi\)
\(252\) 5.26696 7.90938i 0.331787 0.498244i
\(253\) 7.31023 + 6.13401i 0.459590 + 0.385642i
\(254\) 6.78694 + 3.91844i 0.425850 + 0.245865i
\(255\) 2.23302 5.57446i 0.139837 0.349086i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 3.23144 18.3264i 0.201572 1.14317i −0.701172 0.712992i \(-0.747340\pi\)
0.902744 0.430178i \(-0.141549\pi\)
\(258\) −8.05112 + 20.0986i −0.501241 + 1.25129i
\(259\) −11.2598 6.50086i −0.699651 0.403944i
\(260\) −8.36426 7.01845i −0.518729 0.435266i
\(261\) −12.6630 + 19.0161i −0.783822 + 1.17706i
\(262\) −1.53951 4.22977i −0.0951113 0.261316i
\(263\) −1.37946 1.64398i −0.0850614 0.101372i 0.721835 0.692065i \(-0.243299\pi\)
−0.806896 + 0.590693i \(0.798854\pi\)
\(264\) −3.22774 2.88899i −0.198654 0.177805i
\(265\) 9.51804i 0.584688i
\(266\) −6.10540 12.3837i −0.374346 0.759293i
\(267\) 17.8146 + 22.6627i 1.09023 + 1.38694i
\(268\) 4.48795 0.791347i 0.274145 0.0483392i
\(269\) 19.9247 16.7188i 1.21483 1.01936i 0.215752 0.976448i \(-0.430780\pi\)
0.999079 0.0429154i \(-0.0136646\pi\)
\(270\) 9.40242 + 9.56470i 0.572213 + 0.582089i
\(271\) 4.62857 + 1.68466i 0.281166 + 0.102336i 0.478754 0.877949i \(-0.341089\pi\)
−0.197588 + 0.980285i \(0.563311\pi\)
\(272\) 0.863386 1.02894i 0.0523505 0.0623889i
\(273\) −3.29805 22.9723i −0.199607 1.39035i
\(274\) 6.81292 3.93344i 0.411583 0.237628i
\(275\) 4.09483 + 0.722029i 0.246928 + 0.0435400i
\(276\) −3.11998 5.82608i −0.187801 0.350689i
\(277\) −0.845901 1.46514i −0.0508252 0.0880319i 0.839493 0.543370i \(-0.182852\pi\)
−0.890319 + 0.455338i \(0.849518\pi\)
\(278\) 3.76467 6.52059i 0.225790 0.391079i
\(279\) 14.1473 + 19.2312i 0.846977 + 1.15134i
\(280\) −2.79636 + 7.68293i −0.167114 + 0.459143i
\(281\) −28.0317 + 10.2027i −1.67223 + 0.608642i −0.992213 0.124555i \(-0.960250\pi\)
−0.680017 + 0.733196i \(0.738028\pi\)
\(282\) 2.22447 10.6201i 0.132465 0.632417i
\(283\) 4.10223 + 23.2649i 0.243852 + 1.38296i 0.823143 + 0.567834i \(0.192219\pi\)
−0.579290 + 0.815121i \(0.696670\pi\)
\(284\) −9.14421 −0.542609
\(285\) 18.8741 4.85101i 1.11801 0.287349i
\(286\) −10.5794 −0.625574
\(287\) 3.55989 + 20.1891i 0.210134 + 1.19173i
\(288\) 1.33108 + 2.68853i 0.0784349 + 0.158423i
\(289\) −14.2794 + 5.19728i −0.839966 + 0.305723i
\(290\) 6.72312 18.4716i 0.394795 1.08469i
\(291\) −0.946743 0.0302500i −0.0554991 0.00177328i
\(292\) 1.09440 1.89556i 0.0640451 0.110929i
\(293\) 4.63502 + 8.02810i 0.270781 + 0.469006i 0.969062 0.246817i \(-0.0793847\pi\)
−0.698281 + 0.715824i \(0.746051\pi\)
\(294\) −4.63143 + 2.48022i −0.270110 + 0.144649i
\(295\) 22.5925 + 3.98367i 1.31539 + 0.231938i
\(296\) 3.55476 2.05234i 0.206616 0.119290i
\(297\) 12.9358 + 1.24335i 0.750612 + 0.0721463i
\(298\) −8.79633 + 10.4831i −0.509558 + 0.607267i
\(299\) −15.1673 5.52043i −0.877146 0.319255i
\(300\) −2.44658 1.51872i −0.141253 0.0876834i
\(301\) 30.3317 25.4513i 1.74829 1.46699i
\(302\) 8.50532 1.49972i 0.489426 0.0862991i
\(303\) −16.0226 + 12.5949i −0.920472 + 0.723558i
\(304\) 4.34954 + 0.285527i 0.249463 + 0.0163761i
\(305\) 0.366159i 0.0209662i
\(306\) −0.257240 + 4.02135i −0.0147054 + 0.229885i
\(307\) 1.76414 + 2.10242i 0.100685 + 0.119991i 0.814034 0.580818i \(-0.197267\pi\)
−0.713349 + 0.700809i \(0.752823\pi\)
\(308\) 2.70945 + 7.44415i 0.154385 + 0.424170i
\(309\) −12.8749 + 4.22555i −0.732425 + 0.240383i
\(310\) −15.7356 13.2038i −0.893724 0.749924i
\(311\) 19.8290 + 11.4483i 1.12440 + 0.649172i 0.942520 0.334148i \(-0.108449\pi\)
0.181879 + 0.983321i \(0.441782\pi\)
\(312\) 6.80139 + 2.72450i 0.385053 + 0.154245i
\(313\) −2.33240 + 13.2277i −0.131835 + 0.747673i 0.845177 + 0.534487i \(0.179495\pi\)
−0.977012 + 0.213186i \(0.931616\pi\)
\(314\) 0.596482 3.38282i 0.0336614 0.190903i
\(315\) −6.90057 23.5373i −0.388803 1.32618i
\(316\) −8.64310 4.99010i −0.486213 0.280715i
\(317\) 15.9117 + 13.3515i 0.893689 + 0.749894i 0.968947 0.247270i \(-0.0795336\pi\)
−0.0752579 + 0.997164i \(0.523978\pi\)
\(318\) 1.99166 + 6.06839i 0.111687 + 0.340298i
\(319\) −6.51417 17.8975i −0.364723 1.00207i
\(320\) −1.65916 1.97731i −0.0927498 0.110535i
\(321\) −6.53699 + 7.30350i −0.364859 + 0.407642i
\(322\) 12.0862i 0.673536i
\(323\) 4.86778 + 3.25326i 0.270851 + 0.181016i
\(324\) −7.99609 4.13068i −0.444227 0.229482i
\(325\) −6.92597 + 1.22124i −0.384184 + 0.0677419i
\(326\) −5.87262 + 4.92772i −0.325254 + 0.272921i
\(327\) −15.0770 + 24.2882i −0.833760 + 1.34314i
\(328\) −6.08179 2.21359i −0.335811 0.122225i
\(329\) −12.7550 + 15.2008i −0.703204 + 0.838046i
\(330\) −11.0678 + 1.58896i −0.609260 + 0.0874693i
\(331\) 7.79345 4.49955i 0.428367 0.247318i −0.270284 0.962781i \(-0.587118\pi\)
0.698651 + 0.715463i \(0.253784\pi\)
\(332\) −14.0221 2.47247i −0.769562 0.135694i
\(333\) −4.94176 + 11.2790i −0.270807 + 0.618083i
\(334\) −1.17288 2.03148i −0.0641769 0.111158i
\(335\) 5.88149 10.1870i 0.321340 0.556577i
\(336\) 0.175207 5.48352i 0.00955835 0.299151i
\(337\) 4.39017 12.0619i 0.239148 0.657053i −0.760819 0.648964i \(-0.775203\pi\)
0.999967 0.00808963i \(-0.00257504\pi\)
\(338\) 4.59881 1.67383i 0.250142 0.0910444i
\(339\) −8.74242 1.83117i −0.474823 0.0994558i
\(340\) −0.602044 3.41436i −0.0326504 0.185170i
\(341\) −19.9030 −1.07781
\(342\) −11.0185 + 7.04227i −0.595810 + 0.380803i
\(343\) −12.5648 −0.678437
\(344\) 2.17066 + 12.3104i 0.117034 + 0.663734i
\(345\) −16.6965 3.49723i −0.898910 0.188284i
\(346\) −14.0187 + 5.10240i −0.753652 + 0.274307i
\(347\) 4.73541 13.0104i 0.254210 0.698436i −0.745288 0.666743i \(-0.767688\pi\)
0.999498 0.0316932i \(-0.0100899\pi\)
\(348\) −0.421241 + 13.1837i −0.0225809 + 0.706721i
\(349\) −10.3158 + 17.8674i −0.552190 + 0.956421i 0.445926 + 0.895070i \(0.352874\pi\)
−0.998116 + 0.0613514i \(0.980459\pi\)
\(350\) 2.63310 + 4.56065i 0.140745 + 0.243777i
\(351\) −21.2793 + 5.50708i −1.13581 + 0.293946i
\(352\) −2.46298 0.434289i −0.131277 0.0231477i
\(353\) 19.7460 11.4004i 1.05098 0.606781i 0.128053 0.991767i \(-0.459127\pi\)
0.922922 + 0.384987i \(0.125794\pi\)
\(354\) −15.2378 + 2.18764i −0.809882 + 0.116272i
\(355\) −15.1717 + 18.0809i −0.805230 + 0.959636i
\(356\) 15.6392 + 5.69220i 0.828876 + 0.301686i
\(357\) 3.88651 6.26097i 0.205696 0.331366i
\(358\) 0.149328 0.125301i 0.00789221 0.00662235i
\(359\) 7.31056 1.28905i 0.385837 0.0680334i 0.0226346 0.999744i \(-0.492795\pi\)
0.363202 + 0.931710i \(0.381683\pi\)
\(360\) 7.52454 + 1.82874i 0.396578 + 0.0963831i
\(361\) 0.824917 + 18.9821i 0.0434167 + 0.999057i
\(362\) 7.11314i 0.373858i
\(363\) 5.48133 6.12406i 0.287695 0.321430i
\(364\) −8.61274 10.2643i −0.451430 0.537993i
\(365\) −1.93232 5.30901i −0.101142 0.277886i
\(366\) 0.0766189 + 0.233451i 0.00400494 + 0.0122027i
\(367\) −15.2065 12.7597i −0.793771 0.666053i 0.152904 0.988241i \(-0.451137\pi\)
−0.946676 + 0.322188i \(0.895582\pi\)
\(368\) −3.30445 1.90782i −0.172256 0.0994522i
\(369\) 18.6321 5.46248i 0.969947 0.284365i
\(370\) 1.83980 10.4340i 0.0956467 0.542439i
\(371\) 2.02823 11.5027i 0.105301 0.597189i
\(372\) 12.7954 + 5.12560i 0.663412 + 0.265750i
\(373\) 16.5145 + 9.53467i 0.855090 + 0.493687i 0.862365 0.506287i \(-0.168982\pi\)
−0.00727484 + 0.999974i \(0.502316\pi\)
\(374\) −2.57336 2.15930i −0.133065 0.111655i
\(375\) 14.1769 4.65288i 0.732091 0.240274i
\(376\) −2.14261 5.88677i −0.110497 0.303587i
\(377\) 20.7071 + 24.6778i 1.06647 + 1.27097i
\(378\) 9.32478 + 13.5627i 0.479615 + 0.697588i
\(379\) 30.0894i 1.54559i −0.634656 0.772795i \(-0.718858\pi\)
0.634656 0.772795i \(-0.281142\pi\)
\(380\) 7.78115 8.12664i 0.399164 0.416888i
\(381\) −10.6715 + 8.38860i −0.546719 + 0.429761i
\(382\) −11.0771 + 1.95320i −0.566755 + 0.0999342i
\(383\) −4.60213 + 3.86165i −0.235158 + 0.197321i −0.752750 0.658307i \(-0.771273\pi\)
0.517592 + 0.855628i \(0.326829\pi\)
\(384\) 1.47158 + 0.913487i 0.0750962 + 0.0466162i
\(385\) 19.2148 + 6.99361i 0.979276 + 0.356427i
\(386\) 10.3664 12.3541i 0.527634 0.628809i
\(387\) −27.1300 25.8899i −1.37910 1.31606i
\(388\) −0.473613 + 0.273441i −0.0240441 + 0.0138818i
\(389\) −20.4701 3.60942i −1.03787 0.183005i −0.371353 0.928492i \(-0.621106\pi\)
−0.666520 + 0.745487i \(0.732217\pi\)
\(390\) 16.6718 8.92806i 0.844208 0.452090i
\(391\) −2.56257 4.43850i −0.129595 0.224465i
\(392\) −1.51662 + 2.62686i −0.0766009 + 0.132677i
\(393\) 7.79238 + 0.248979i 0.393074 + 0.0125593i
\(394\) 7.81913 21.4829i 0.393922 1.08229i
\(395\) −24.2072 + 8.81072i −1.21800 + 0.443315i
\(396\) 6.72395 3.32900i 0.337891 0.167289i
\(397\) 1.82838 + 10.3692i 0.0917636 + 0.520417i 0.995691 + 0.0927316i \(0.0295599\pi\)
−0.903928 + 0.427686i \(0.859329\pi\)
\(398\) 0.333882 0.0167360
\(399\) 23.8434 1.84056i 1.19366 0.0921432i
\(400\) −1.66255 −0.0831277
\(401\) 1.59795 + 9.06241i 0.0797977 + 0.452555i 0.998358 + 0.0572753i \(0.0182413\pi\)
−0.918561 + 0.395280i \(0.870648\pi\)
\(402\) −1.61820 + 7.72562i −0.0807084 + 0.385319i
\(403\) 31.6336 11.5137i 1.57578 0.573538i
\(404\) −4.02439 + 11.0569i −0.200221 + 0.550102i
\(405\) −21.4344 + 8.95729i −1.06508 + 0.445092i
\(406\) 12.0612 20.8905i 0.598585 1.03678i
\(407\) −5.13285 8.89036i −0.254426 0.440679i
\(408\) 1.09830 + 2.05091i 0.0543740 + 0.101535i
\(409\) 23.2080 + 4.09220i 1.14756 + 0.202346i 0.714911 0.699215i \(-0.246467\pi\)
0.432651 + 0.901561i \(0.357578\pi\)
\(410\) −14.4676 + 8.35287i −0.714504 + 0.412519i
\(411\) 1.93636 + 13.4875i 0.0955136 + 0.665292i
\(412\) −5.02879 + 5.99308i −0.247751 + 0.295258i
\(413\) 26.4545 + 9.62865i 1.30174 + 0.473795i
\(414\) 11.3769 1.26404i 0.559146 0.0621241i
\(415\) −28.1537 + 23.6238i −1.38201 + 1.15964i
\(416\) 4.16586 0.734553i 0.204248 0.0360144i
\(417\) 8.05940 + 10.2527i 0.394670 + 0.502079i
\(418\) 0.714095 10.8781i 0.0349275 0.532064i
\(419\) 20.4238i 0.997766i −0.866669 0.498883i \(-0.833744\pi\)
0.866669 0.498883i \(-0.166256\pi\)
\(420\) −10.5519 9.44447i −0.514881 0.460843i
\(421\) −0.259039 0.308710i −0.0126248 0.0150456i 0.759695 0.650279i \(-0.225348\pi\)
−0.772320 + 0.635234i \(0.780904\pi\)
\(422\) 0.877280 + 2.41031i 0.0427053 + 0.117332i
\(423\) 15.6428 + 10.4167i 0.760577 + 0.506478i
\(424\) 2.82476 + 2.37025i 0.137182 + 0.115110i
\(425\) −1.93394 1.11656i −0.0938101 0.0541613i
\(426\) 5.88953 14.7025i 0.285349 0.712338i
\(427\) 0.0780261 0.442508i 0.00377595 0.0214144i
\(428\) −0.982678 + 5.57304i −0.0474995 + 0.269383i
\(429\) 6.81391 17.0101i 0.328979 0.821255i
\(430\) 27.9430 + 16.1329i 1.34753 + 0.777997i
\(431\) −7.15165 6.00095i −0.344483 0.289055i 0.454087 0.890957i \(-0.349965\pi\)
−0.798570 + 0.601902i \(0.794410\pi\)
\(432\) −5.18006 + 0.408571i −0.249226 + 0.0196574i
\(433\) −7.03421 19.3263i −0.338043 0.928765i −0.985949 0.167045i \(-0.946577\pi\)
0.647907 0.761720i \(-0.275645\pi\)
\(434\) −16.2031 19.3101i −0.777774 0.926915i
\(435\) 25.3694 + 22.7068i 1.21637 + 1.08871i
\(436\) 16.5049i 0.790441i
\(437\) 6.70004 15.2228i 0.320506 0.728206i
\(438\) 2.34290 + 2.98051i 0.111948 + 0.142414i
\(439\) −25.2438 + 4.45116i −1.20482 + 0.212442i −0.739781 0.672847i \(-0.765071\pi\)
−0.465040 + 0.885290i \(0.653960\pi\)
\(440\) −4.94519 + 4.14951i −0.235753 + 0.197820i
\(441\) −1.00484 9.04407i −0.0478497 0.430670i
\(442\) 5.33920 + 1.94331i 0.253960 + 0.0924339i
\(443\) 17.0745 20.3486i 0.811235 0.966792i −0.188649 0.982045i \(-0.560411\pi\)
0.999884 + 0.0152527i \(0.00485526\pi\)
\(444\) 1.01033 + 7.03737i 0.0479482 + 0.333979i
\(445\) 37.2032 21.4793i 1.76360 1.01821i
\(446\) 6.57346 + 1.15908i 0.311262 + 0.0548839i
\(447\) −11.1897 20.8950i −0.529254 0.988300i
\(448\) −1.58376 2.74316i −0.0748258 0.129602i
\(449\) −5.66925 + 9.81944i −0.267549 + 0.463408i −0.968228 0.250068i \(-0.919547\pi\)
0.700680 + 0.713476i \(0.252880\pi\)
\(450\) 4.01764 2.95556i 0.189394 0.139326i
\(451\) −5.53612 + 15.2104i −0.260686 + 0.716229i
\(452\) −4.84597 + 1.76379i −0.227935 + 0.0829616i
\(453\) −3.06672 + 14.6412i −0.144087 + 0.687903i
\(454\) 3.48246 + 19.7500i 0.163440 + 0.926915i
\(455\) −34.5855 −1.62139
\(456\) −3.26050 + 6.80949i −0.152687 + 0.318884i
\(457\) −21.3688 −0.999591 −0.499796 0.866143i \(-0.666592\pi\)
−0.499796 + 0.866143i \(0.666592\pi\)
\(458\) 2.86638 + 16.2560i 0.133937 + 0.759594i
\(459\) −6.30004 3.00364i −0.294061 0.140198i
\(460\) −9.25496 + 3.36853i −0.431515 + 0.157059i
\(461\) 9.40832 25.8492i 0.438189 1.20392i −0.502480 0.864589i \(-0.667579\pi\)
0.940669 0.339326i \(-0.110199\pi\)
\(462\) −13.7141 0.438189i −0.638039 0.0203864i
\(463\) −4.52654 + 7.84019i −0.210366 + 0.364365i −0.951829 0.306629i \(-0.900799\pi\)
0.741463 + 0.670994i \(0.234132\pi\)
\(464\) 3.80775 + 6.59522i 0.176770 + 0.306175i
\(465\) 31.3645 16.7963i 1.45450 0.778911i
\(466\) −6.10825 1.07705i −0.282959 0.0498934i
\(467\) −17.7092 + 10.2244i −0.819486 + 0.473130i −0.850239 0.526397i \(-0.823543\pi\)
0.0307535 + 0.999527i \(0.490209\pi\)
\(468\) −8.76117 + 9.18082i −0.404985 + 0.424384i
\(469\) 9.27865 11.0579i 0.428448 0.510605i
\(470\) −15.1949 5.53049i −0.700888 0.255102i
\(471\) 5.05488 + 3.13783i 0.232916 + 0.144584i
\(472\) −6.80843 + 5.71295i −0.313383 + 0.262960i
\(473\) 30.7880 5.42876i 1.41564 0.249615i
\(474\) 13.5901 10.6828i 0.624214 0.490678i
\(475\) −0.788217 7.20391i −0.0361659 0.330538i
\(476\) 4.25459i 0.195009i
\(477\) −11.0398 0.706200i −0.505478 0.0323347i
\(478\) −0.370124 0.441096i −0.0169291 0.0201753i
\(479\) −3.36367 9.24160i −0.153690 0.422259i 0.838822 0.544405i \(-0.183245\pi\)
−0.992512 + 0.122146i \(0.961022\pi\)
\(480\) 4.24783 1.39414i 0.193886 0.0636337i
\(481\) 13.3011 + 11.1609i 0.606477 + 0.508895i
\(482\) −1.47079 0.849159i −0.0669925 0.0386781i
\(483\) −19.4327 7.78437i −0.884220 0.354201i
\(484\) 0.823985 4.67305i 0.0374539 0.212411i
\(485\) −0.245123 + 1.39016i −0.0111305 + 0.0631239i
\(486\) 11.7916 10.1960i 0.534876 0.462502i
\(487\) −6.75564 3.90037i −0.306127 0.176743i 0.339065 0.940763i \(-0.389889\pi\)
−0.645192 + 0.764020i \(0.723223\pi\)
\(488\) 0.108668 + 0.0911835i 0.00491918 + 0.00412768i
\(489\) −4.14062 12.6161i −0.187245 0.570519i
\(490\) 2.67780 + 7.35721i 0.120971 + 0.332365i
\(491\) 18.0754 + 21.5414i 0.815729 + 0.972148i 0.999942 0.0107379i \(-0.00341805\pi\)
−0.184213 + 0.982886i \(0.558974\pi\)
\(492\) 7.47622 8.35287i 0.337054 0.376577i
\(493\) 10.2291i 0.460694i
\(494\) 5.15788 + 17.7026i 0.232064 + 0.796477i
\(495\) 4.57363 18.8187i 0.205569 0.845836i
\(496\) 7.83721 1.38191i 0.351901 0.0620497i
\(497\) −22.1881 + 18.6181i −0.995274 + 0.835134i
\(498\) 13.0066 20.9529i 0.582839 0.938922i
\(499\) −12.8477 4.67618i −0.575142 0.209334i 0.0380402 0.999276i \(-0.487888\pi\)
−0.613182 + 0.789942i \(0.710111\pi\)
\(500\) 5.53735 6.59916i 0.247638 0.295123i
\(501\) 4.02173 0.577385i 0.179677 0.0257957i
\(502\) −5.19486 + 2.99925i −0.231858 + 0.133863i
\(503\) −25.8762 4.56267i −1.15376 0.203439i −0.436144 0.899877i \(-0.643656\pi\)
−0.717618 + 0.696437i \(0.754767\pi\)
\(504\) 8.70382 + 3.81349i 0.387699 + 0.169866i
\(505\) 15.1858 + 26.3026i 0.675761 + 1.17045i
\(506\) −4.77142 + 8.26433i −0.212115 + 0.367394i
\(507\) −0.270702 + 8.47225i −0.0120223 + 0.376266i
\(508\) −2.68037 + 7.36426i −0.118922 + 0.326736i
\(509\) −25.0043 + 9.10082i −1.10830 + 0.403387i −0.830368 0.557215i \(-0.811870\pi\)
−0.277928 + 0.960602i \(0.589648\pi\)
\(510\) 5.87753 + 1.23110i 0.260261 + 0.0545140i
\(511\) −1.20392 6.82777i −0.0532583 0.302043i
\(512\) 1.00000 0.0441942
\(513\) −4.22622 22.2517i −0.186592 0.982437i
\(514\) 18.6091 0.820813
\(515\) 3.50661 + 19.8869i 0.154520 + 0.876324i
\(516\) −21.1913 4.43871i −0.932897 0.195403i
\(517\) −14.7226 + 5.35860i −0.647501 + 0.235671i
\(518\) 4.44685 12.2176i 0.195383 0.536811i
\(519\) 0.825191 25.8263i 0.0362219 1.13365i
\(520\) 5.45938 9.45593i 0.239410 0.414670i
\(521\) −10.2977 17.8362i −0.451151 0.781417i 0.547307 0.836932i \(-0.315653\pi\)
−0.998458 + 0.0555154i \(0.982320\pi\)
\(522\) −20.9261 9.16855i −0.915909 0.401296i
\(523\) 7.47024 + 1.31720i 0.326651 + 0.0575973i 0.334569 0.942371i \(-0.391409\pi\)
−0.00791816 + 0.999969i \(0.502520\pi\)
\(524\) 3.89818 2.25062i 0.170293 0.0983186i
\(525\) −9.02874 + 1.29622i −0.394046 + 0.0565719i
\(526\) 1.37946 1.64398i 0.0601475 0.0716810i
\(527\) 10.0446 + 3.65594i 0.437550 + 0.159255i
\(528\) 2.28460 3.68037i 0.0994246 0.160168i
\(529\) 6.46604 5.42566i 0.281132 0.235898i
\(530\) 9.37344 1.65279i 0.407156 0.0717926i
\(531\) 6.29687 25.9091i 0.273261 1.12436i
\(532\) 11.1354 8.16305i 0.482779 0.353913i
\(533\) 27.3778i 1.18586i
\(534\) −19.2250 + 21.4793i −0.831946 + 0.929498i
\(535\) 9.38920 + 11.1896i 0.405931 + 0.483769i
\(536\) 1.55865 + 4.28235i 0.0673234 + 0.184970i
\(537\) 0.105287 + 0.320799i 0.00454345 + 0.0138435i
\(538\) 19.9247 + 16.7188i 0.859015 + 0.720799i
\(539\) 6.56971 + 3.79302i 0.282977 + 0.163377i
\(540\) −7.78668 + 10.9205i −0.335085 + 0.469942i
\(541\) 7.39225 41.9235i 0.317818 1.80243i −0.238148 0.971229i \(-0.576540\pi\)
0.555966 0.831205i \(-0.312349\pi\)
\(542\) −0.855325 + 4.85079i −0.0367394 + 0.208359i
\(543\) 11.4368 + 4.58137i 0.490802 + 0.196605i
\(544\) 1.16324 + 0.671595i 0.0498734 + 0.0287944i
\(545\) 32.6353 + 27.3842i 1.39794 + 1.17301i
\(546\) 22.0506 7.23704i 0.943678 0.309717i
\(547\) −0.418676 1.15030i −0.0179013 0.0491833i 0.930420 0.366495i \(-0.119442\pi\)
−0.948321 + 0.317311i \(0.897220\pi\)
\(548\) 5.05673 + 6.02638i 0.216013 + 0.257434i
\(549\) −0.424701 0.0271675i −0.0181258 0.00115948i
\(550\) 4.15800i 0.177298i
\(551\) −26.7721 + 19.6259i −1.14053 + 0.836093i
\(552\) 5.19579 4.08427i 0.221148 0.173838i
\(553\) −31.1323 + 5.48946i −1.32388 + 0.233436i
\(554\) 1.29599 1.08747i 0.0550615 0.0462021i
\(555\) 15.5914 + 9.67838i 0.661816 + 0.410824i
\(556\) 7.07526 + 2.57518i 0.300058 + 0.109212i
\(557\) −13.8808 + 16.5425i −0.588147 + 0.700927i −0.975249 0.221110i \(-0.929032\pi\)
0.387101 + 0.922037i \(0.373476\pi\)
\(558\) −16.4824 + 17.2718i −0.697754 + 0.731175i
\(559\) −45.7937 + 26.4390i −1.93687 + 1.11825i
\(560\) −8.05179 1.41975i −0.340250 0.0599953i
\(561\) 5.12926 2.74682i 0.216557 0.115971i
\(562\) −14.9153 25.8341i −0.629166 1.08975i
\(563\) −13.0149 + 22.5424i −0.548512 + 0.950051i 0.449865 + 0.893097i \(0.351472\pi\)
−0.998377 + 0.0569541i \(0.981861\pi\)
\(564\) 10.8450 + 0.346516i 0.456658 + 0.0145909i
\(565\) −4.55268 + 12.5084i −0.191533 + 0.526231i
\(566\) −22.1991 + 8.07982i −0.933099 + 0.339620i
\(567\) −27.8125 + 6.25748i −1.16802 + 0.262789i
\(568\) −1.58788 9.00529i −0.0666258 0.377854i
\(569\) −4.80544 −0.201455 −0.100727 0.994914i \(-0.532117\pi\)
−0.100727 + 0.994914i \(0.532117\pi\)
\(570\) 8.05478 + 17.7450i 0.337377 + 0.743258i
\(571\) −46.6475 −1.95214 −0.976068 0.217466i \(-0.930221\pi\)
−0.976068 + 0.217466i \(0.930221\pi\)
\(572\) −1.83710 10.4187i −0.0768129 0.435628i
\(573\) 3.99403 19.0683i 0.166853 0.796591i
\(574\) −19.2642 + 7.01161i −0.804074 + 0.292659i
\(575\) −2.16968 + 5.96115i −0.0904820 + 0.248597i
\(576\) −2.41655 + 1.77772i −0.100690 + 0.0740717i
\(577\) 23.3103 40.3745i 0.970418 1.68081i 0.276125 0.961122i \(-0.410950\pi\)
0.694293 0.719692i \(-0.255717\pi\)
\(578\) −7.59792 13.1600i −0.316032 0.547383i
\(579\) 13.1869 + 24.6245i 0.548028 + 1.02336i
\(580\) 19.3584 + 3.41342i 0.803816 + 0.141734i
\(581\) −39.0582 + 22.5503i −1.62041 + 0.935543i
\(582\) −0.134610 0.937613i −0.00557976 0.0388653i
\(583\) 5.92793 7.06463i 0.245510 0.292587i
\(584\) 2.05680 + 0.748615i 0.0851112 + 0.0309779i
\(585\) 3.61714 + 32.5560i 0.149550 + 1.34602i
\(586\) −7.10127 + 5.95867i −0.293351 + 0.246150i
\(587\) −14.9298 + 2.63253i −0.616220 + 0.108656i −0.473041 0.881040i \(-0.656844\pi\)
−0.143180 + 0.989697i \(0.545733\pi\)
\(588\) −3.24678 4.13038i −0.133895 0.170334i
\(589\) 9.70350 + 33.3038i 0.399826 + 1.37226i
\(590\) 22.9411i 0.944469i
\(591\) 29.5051 + 26.4085i 1.21368 + 1.08630i
\(592\) 2.63844 + 3.14437i 0.108439 + 0.129233i
\(593\) 0.398860 + 1.09586i 0.0163792 + 0.0450015i 0.947613 0.319421i \(-0.103489\pi\)
−0.931234 + 0.364423i \(0.881266\pi\)
\(594\) 1.02182 + 12.9552i 0.0419259 + 0.531558i
\(595\) −8.41264 7.05905i −0.344885 0.289393i
\(596\) −11.8513 6.84233i −0.485447 0.280273i
\(597\) −0.215044 + 0.536831i −0.00880116 + 0.0219710i
\(598\) 2.80280 15.8955i 0.114615 0.650014i
\(599\) 4.45202 25.2486i 0.181905 1.03163i −0.747964 0.663739i \(-0.768968\pi\)
0.929868 0.367892i \(-0.119921\pi\)
\(600\) 1.07080 2.67313i 0.0437154 0.109130i
\(601\) −26.4639 15.2789i −1.07948 0.623240i −0.148726 0.988878i \(-0.547517\pi\)
−0.930757 + 0.365639i \(0.880851\pi\)
\(602\) 30.3317 + 25.4513i 1.23623 + 1.03732i
\(603\) −11.3794 7.57767i −0.463404 0.308587i
\(604\) 2.95387 + 8.11568i 0.120191 + 0.330222i
\(605\) −7.87294 9.38261i −0.320081 0.381457i
\(606\) −15.1858 13.5921i −0.616882 0.552139i
\(607\) 7.82667i 0.317675i 0.987305 + 0.158837i \(0.0507745\pi\)
−0.987305 + 0.158837i \(0.949225\pi\)
\(608\) 0.474100 + 4.33304i 0.0192273 + 0.175728i
\(609\) 25.8205 + 32.8475i 1.04630 + 1.33105i
\(610\) 0.360596 0.0635828i 0.0146001 0.00257439i
\(611\) 20.3001 17.0338i 0.821254 0.689114i
\(612\) −4.00493 + 0.444968i −0.161890 + 0.0179868i
\(613\) 30.3824 + 11.0583i 1.22713 + 0.446640i 0.872615 0.488408i \(-0.162422\pi\)
0.354519 + 0.935049i \(0.384645\pi\)
\(614\) −1.76414 + 2.10242i −0.0711948 + 0.0848466i
\(615\) −4.11197 28.6415i −0.165810 1.15494i
\(616\) −6.86057 + 3.96095i −0.276420 + 0.159591i
\(617\) 24.5040 + 4.32072i 0.986495 + 0.173946i 0.643545 0.765408i \(-0.277463\pi\)
0.342950 + 0.939354i \(0.388574\pi\)
\(618\) −6.39705 11.9455i −0.257327 0.480519i
\(619\) −3.60285 6.24032i −0.144811 0.250820i 0.784492 0.620140i \(-0.212924\pi\)
−0.929302 + 0.369320i \(0.879591\pi\)
\(620\) 10.2707 17.7894i 0.412482 0.714439i
\(621\) −5.29519 + 19.1065i −0.212489 + 0.766718i
\(622\) −7.83109 + 21.5157i −0.313998 + 0.862702i
\(623\) 49.5376 18.0302i 1.98468 0.722366i
\(624\) −1.50206 + 7.17117i −0.0601307 + 0.287077i
\(625\) −5.30472 30.0846i −0.212189 1.20338i
\(626\) −13.4317 −0.536841
\(627\) 17.0303 + 8.15441i 0.680126 + 0.325656i
\(628\) 3.43500 0.137072
\(629\) 0.957388 + 5.42961i 0.0381735 + 0.216493i
\(630\) 21.9815 10.8829i 0.875762 0.433587i
\(631\) 23.7099 8.62969i 0.943876 0.343543i 0.176180 0.984358i \(-0.443626\pi\)
0.767695 + 0.640815i \(0.221404\pi\)
\(632\) 3.41343 9.37832i 0.135779 0.373049i
\(633\) −4.44044 0.141879i −0.176492 0.00563919i
\(634\) −10.3856 + 17.9884i −0.412465 + 0.714411i
\(635\) 10.1142 + 17.5184i 0.401372 + 0.695196i
\(636\) −5.63035 + 3.01516i −0.223258 + 0.119559i
\(637\) −12.6361 2.22808i −0.500659 0.0882796i
\(638\) 16.4945 9.52308i 0.653022 0.377022i
\(639\) 19.8461 + 18.9389i 0.785099 + 0.749212i
\(640\) 1.65916 1.97731i 0.0655840 0.0781600i
\(641\) −8.36361 3.04411i −0.330343 0.120235i 0.171524 0.985180i \(-0.445131\pi\)
−0.501867 + 0.864945i \(0.667353\pi\)
\(642\) −8.32768 5.16943i −0.328667 0.204021i
\(643\) 5.41716 4.54553i 0.213632 0.179258i −0.529692 0.848190i \(-0.677693\pi\)
0.743324 + 0.668932i \(0.233248\pi\)
\(644\) −11.9026 + 2.09874i −0.469027 + 0.0827021i
\(645\) −43.9365 + 34.5373i −1.73000 + 1.35990i
\(646\) −2.35856 + 5.35875i −0.0927962 + 0.210837i
\(647\) 7.87198i 0.309479i −0.987955 0.154740i \(-0.950546\pi\)
0.987955 0.154740i \(-0.0494539\pi\)
\(648\) 2.67942 8.59190i 0.105257 0.337522i
\(649\) 14.2879 + 17.0277i 0.560850 + 0.668395i
\(650\) −2.40536 6.60868i −0.0943461 0.259214i
\(651\) 41.4837 13.6150i 1.62587 0.533614i
\(652\) −5.87262 4.92772i −0.229990 0.192984i
\(653\) −1.40402 0.810613i −0.0549437 0.0317217i 0.472277 0.881450i \(-0.343432\pi\)
−0.527220 + 0.849729i \(0.676766\pi\)
\(654\) −26.5373 10.6303i −1.03769 0.415679i
\(655\) 2.01754 11.4420i 0.0788318 0.447077i
\(656\) 1.12387 6.37378i 0.0438797 0.248854i
\(657\) −6.30120 + 1.84736i −0.245833 + 0.0720723i
\(658\) −17.1847 9.92160i −0.669930 0.386784i
\(659\) −9.29693 7.80105i −0.362157 0.303886i 0.443493 0.896278i \(-0.353739\pi\)
−0.805650 + 0.592392i \(0.798184\pi\)
\(660\) −3.48672 10.6237i −0.135720 0.413527i
\(661\) −10.0965 27.7400i −0.392710 1.07896i −0.965759 0.259440i \(-0.916462\pi\)
0.573050 0.819521i \(-0.305760\pi\)
\(662\) 5.78451 + 6.89371i 0.224821 + 0.267932i
\(663\) −6.56338 + 7.33299i −0.254900 + 0.284790i
\(664\) 14.2384i 0.552557i
\(665\) 2.33447 35.5618i 0.0905268 1.37903i
\(666\) −11.9657 2.90812i −0.463663 0.112687i
\(667\) 28.6166 5.04588i 1.10804 0.195377i
\(668\) 1.79695 1.50782i 0.0695261 0.0583393i
\(669\) −6.09740 + 9.82258i −0.235739 + 0.379763i
\(670\) 11.0536 + 4.02317i 0.427037 + 0.155429i
\(671\) 0.228047 0.271776i 0.00880367 0.0104918i
\(672\) 5.43064 0.779658i 0.209491 0.0300760i
\(673\) −3.84411 + 2.21940i −0.148180 + 0.0855516i −0.572257 0.820075i \(-0.693932\pi\)
0.424077 + 0.905626i \(0.360599\pi\)
\(674\) 12.6410 + 2.22895i 0.486913 + 0.0858559i
\(675\) 2.16443 + 8.36335i 0.0833091 + 0.321905i
\(676\) 2.44698 + 4.23829i 0.0941145 + 0.163011i
\(677\) 0.610403 1.05725i 0.0234597 0.0406334i −0.854057 0.520179i \(-0.825865\pi\)
0.877517 + 0.479546i \(0.159199\pi\)
\(678\) 0.285251 8.92758i 0.0109550 0.342862i
\(679\) −0.592469 + 1.62779i −0.0227369 + 0.0624690i
\(680\) 3.25794 1.18579i 0.124936 0.0454732i
\(681\) −33.9980 7.12117i −1.30281 0.272884i
\(682\) −3.45612 19.6006i −0.132342 0.750547i
\(683\) 40.7336 1.55863 0.779313 0.626635i \(-0.215568\pi\)
0.779313 + 0.626635i \(0.215568\pi\)
\(684\) −8.84862 9.62818i −0.338335 0.368143i
\(685\) 20.3059 0.775850
\(686\) −2.18186 12.3739i −0.0833038 0.472439i
\(687\) −27.9834 5.86136i −1.06763 0.223625i
\(688\) −11.7465 + 4.27537i −0.447830 + 0.162997i
\(689\) −5.33497 + 14.6577i −0.203246 + 0.558414i
\(690\) 0.544779 17.0501i 0.0207394 0.649088i
\(691\) 18.9023 32.7397i 0.719077 1.24548i −0.242289 0.970204i \(-0.577898\pi\)
0.961366 0.275274i \(-0.0887686\pi\)
\(692\) −7.45921 12.9197i −0.283557 0.491135i
\(693\) 9.53743 21.7680i 0.362297 0.826898i
\(694\) 13.6351 + 2.40423i 0.517580 + 0.0912633i
\(695\) 16.8309 9.71733i 0.638433 0.368599i
\(696\) −13.0566 + 1.87449i −0.494908 + 0.0710522i
\(697\) 5.58792 6.65943i 0.211658 0.252244i
\(698\) −19.3873 7.05640i −0.733820 0.267088i
\(699\) 5.66589 9.12744i 0.214304 0.345231i
\(700\) −4.03414 + 3.38504i −0.152476 + 0.127943i
\(701\) 23.1182 4.07636i 0.873162 0.153962i 0.280929 0.959729i \(-0.409358\pi\)
0.592233 + 0.805767i \(0.298246\pi\)
\(702\) −9.11853 19.9997i −0.344157 0.754841i
\(703\) −12.3738 + 12.9232i −0.466687 + 0.487408i
\(704\) 2.50097i 0.0942589i
\(705\) 18.6788 20.8690i 0.703483 0.785973i
\(706\) 14.6560 + 17.4664i 0.551587 + 0.657356i
\(707\) 12.7474 + 35.0231i 0.479414 + 1.31718i
\(708\) −4.80043 14.6265i −0.180411 0.549696i
\(709\) 21.3882 + 17.9469i 0.803252 + 0.674009i 0.948987 0.315315i \(-0.102110\pi\)
−0.145735 + 0.989324i \(0.546555\pi\)
\(710\) −20.4408 11.8015i −0.767128 0.442902i
\(711\) 8.42332 + 28.7313i 0.315899 + 1.07751i
\(712\) −2.89001 + 16.3901i −0.108308 + 0.614243i
\(713\) 5.27289 29.9041i 0.197471 1.11992i
\(714\) 6.84074 + 2.74026i 0.256008 + 0.102552i
\(715\) −23.6490 13.6538i −0.884423 0.510622i
\(716\) 0.149328 + 0.125301i 0.00558063 + 0.00468271i
\(717\) 0.947601 0.311004i 0.0353888 0.0116147i
\(718\) 2.53893 + 6.97566i 0.0947521 + 0.260329i
\(719\) −26.4940 31.5743i −0.988060 1.17752i −0.984115 0.177532i \(-0.943189\pi\)
−0.00394505 0.999992i \(-0.501256\pi\)
\(720\) −0.494335 + 7.72778i −0.0184228 + 0.287997i
\(721\) 24.7809i 0.922889i
\(722\) −18.5505 + 4.10859i −0.690377 + 0.152906i
\(723\) 2.31261 1.81788i 0.0860069 0.0676077i
\(724\) 7.00507 1.23518i 0.260341 0.0459052i
\(725\) 9.69903 8.13846i 0.360213 0.302255i
\(726\) 6.98285 + 4.33462i 0.259158 + 0.160873i
\(727\) 4.13772 + 1.50601i 0.153460 + 0.0558548i 0.417608 0.908627i \(-0.362869\pi\)
−0.264148 + 0.964482i \(0.585091\pi\)
\(728\) 8.61274 10.2643i 0.319209 0.380419i
\(729\) 8.79906 + 25.5260i 0.325891 + 0.945407i
\(730\) 4.89281 2.82486i 0.181091 0.104553i
\(731\) −16.5352 2.91561i −0.611578 0.107838i
\(732\) −0.216599 + 0.115993i −0.00800574 + 0.00428723i
\(733\) 11.3991 + 19.7438i 0.421034 + 0.729253i 0.996041 0.0888960i \(-0.0283339\pi\)
−0.575007 + 0.818149i \(0.695001\pi\)
\(734\) 9.92532 17.1912i 0.366350 0.634537i
\(735\) −13.5540 0.433071i −0.499945 0.0159741i
\(736\) 1.30503 3.58554i 0.0481040 0.132165i
\(737\) 10.7100 3.89814i 0.394510 0.143590i
\(738\) 8.61491 + 17.4005i 0.317119 + 0.640520i
\(739\) −8.91510 50.5600i −0.327947 1.85988i −0.488098 0.872789i \(-0.662309\pi\)
0.160151 0.987093i \(-0.448802\pi\)
\(740\) 10.5950 0.389479
\(741\) −31.7851 3.10865i −1.16765 0.114199i
\(742\) 11.6801 0.428791
\(743\) −0.154876 0.878343i −0.00568183 0.0322233i 0.981835 0.189737i \(-0.0607634\pi\)
−0.987517 + 0.157513i \(0.949652\pi\)
\(744\) −2.82583 + 13.4911i −0.103600 + 0.494607i
\(745\) −33.1925 + 12.0811i −1.21608 + 0.442617i
\(746\) −6.52210 + 17.9193i −0.238791 + 0.656073i
\(747\) 25.3119 + 34.4078i 0.926114 + 1.25891i
\(748\) 1.67964 2.90922i 0.0614137 0.106372i
\(749\) 8.96255 + 15.5236i 0.327484 + 0.567220i
\(750\) 7.04398 + 13.1535i 0.257210 + 0.480300i
\(751\) −10.0009 1.76342i −0.364936 0.0643481i −0.0118266 0.999930i \(-0.503765\pi\)
−0.353110 + 0.935582i \(0.614876\pi\)
\(752\) 5.42528 3.13228i 0.197839 0.114223i
\(753\) −1.47648 10.2843i −0.0538058 0.374780i
\(754\) −20.7071 + 24.6778i −0.754108 + 0.898711i
\(755\) 20.9481 + 7.62450i 0.762381 + 0.277484i
\(756\) −11.7374 + 11.5382i −0.426885 + 0.419642i
\(757\) 16.0181 13.4408i 0.582187 0.488513i −0.303478 0.952839i \(-0.598148\pi\)
0.885664 + 0.464326i \(0.153703\pi\)
\(758\) 29.6323 5.22497i 1.07629 0.189780i
\(759\) −10.2146 12.9945i −0.370768 0.471672i
\(760\) 9.35436 + 6.25176i 0.339318 + 0.226775i
\(761\) 23.9282i 0.867396i 0.901058 + 0.433698i \(0.142791\pi\)
−0.901058 + 0.433698i \(0.857209\pi\)
\(762\) −10.1142 9.05274i −0.366401 0.327946i
\(763\) 33.6048 + 40.0486i 1.21657 + 1.44986i
\(764\) −3.84705 10.5697i −0.139181 0.382397i
\(765\) −5.76497 + 8.65725i −0.208433 + 0.313003i
\(766\) −4.60213 3.86165i −0.166282 0.139527i
\(767\) −32.5594 18.7982i −1.17565 0.678764i
\(768\) −0.644072 + 1.60785i −0.0232409 + 0.0580182i
\(769\) −3.21910 + 18.2564i −0.116084 + 0.658344i 0.870124 + 0.492833i \(0.164039\pi\)
−0.986208 + 0.165511i \(0.947073\pi\)
\(770\) −3.55075 + 20.1373i −0.127960 + 0.725698i
\(771\) −11.9856 + 29.9206i −0.431651 + 1.07756i