Properties

Label 114.2.l.a.29.2
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 29.2
Root \(1.47158 - 0.913487i\) of defining polynomial
Character \(\chi\) \(=\) 114.29
Dual form 114.2.l.a.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 - 0.984808i) q^{2} +(-0.0553136 - 1.73117i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.882820 - 2.42553i) q^{5} +(-1.69526 + 0.355087i) q^{6} +(-1.58376 + 2.74316i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.99388 + 0.191514i) q^{9} +O(q^{10})\) \(q+(-0.173648 - 0.984808i) q^{2} +(-0.0553136 - 1.73117i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.882820 - 2.42553i) q^{5} +(-1.69526 + 0.355087i) q^{6} +(-1.58376 + 2.74316i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.99388 + 0.191514i) q^{9} +(-2.54198 - 0.448219i) q^{10} +(2.16590 - 1.25049i) q^{11} +(0.644072 + 1.60785i) q^{12} +(2.71907 - 3.24046i) q^{13} +(2.97650 + 1.08336i) q^{14} +(-4.24783 - 1.39414i) 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} +(4.83647 + 2.59003i) q^{21} +(-1.60759 - 1.91586i) q^{22} +(1.30503 + 3.58554i) q^{23} +(1.47158 - 0.913487i) q^{24} +(-1.27359 - 1.06867i) q^{25} +(-3.66340 - 2.11506i) q^{26} +(0.497145 + 5.17232i) q^{27} +(0.550036 - 3.11941i) q^{28} +(1.32242 - 7.49981i) q^{29} +(-0.635337 + 4.42538i) q^{30} +(6.89193 + 3.97906i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(-2.28460 - 3.68037i) q^{33} +(0.459398 + 1.26219i) q^{34} +(5.25543 + 6.26318i) q^{35} +(2.74783 - 1.20393i) 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} +(1.71083 - 5.21275i) q^{42} +(-11.7465 - 4.27537i) q^{43} +(-1.60759 + 1.91586i) q^{44} +(-2.17853 + 7.43081i) q^{45} +(3.30445 - 1.90782i) q^{46} +(-6.16940 - 1.08783i) q^{47} +(-1.15515 - 1.29060i) q^{48} +(-1.51662 - 2.62686i) q^{49} +(-0.831277 + 1.43981i) q^{50} +(0.476950 + 2.27706i) q^{51} +(-1.44679 + 3.97502i) q^{52} +(3.46508 - 1.26118i) q^{53} +(5.00741 - 1.38776i) q^{54} +(-1.12098 - 6.35742i) q^{55} -3.16753 q^{56} +(5.04455 - 5.61716i) q^{57} -7.61550 q^{58} +(1.54335 + 8.75275i) q^{59} +(4.46848 - 0.142775i) q^{60} +(-0.133301 + 0.0485177i) q^{61} +(2.72184 - 7.47818i) q^{62} +(4.21625 - 8.51601i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-5.45938 - 9.45593i) q^{65} +(-3.22774 + 2.88899i) q^{66} +(-4.48795 - 0.791347i) q^{67} +(1.16324 - 0.671595i) q^{68} +(6.13498 - 2.45755i) q^{69} +(5.25543 - 6.26318i) q^{70} +(-8.59275 - 3.12750i) q^{71} +(-1.66280 - 2.49702i) 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} +(-3.45889 + 6.45894i) q^{78} +(6.41515 + 7.64528i) q^{79} +(-0.882820 - 2.42553i) q^{80} +(8.92664 - 1.14674i) q^{81} +(4.95792 + 4.16019i) q^{82} +(-12.3308 - 7.11920i) q^{83} +(-5.43064 - 0.779658i) q^{84} +(-0.602044 + 3.41436i) q^{85} +(-2.17066 + 12.3104i) q^{86} +(-13.0566 - 1.87449i) q^{87} +(2.16590 + 1.25049i) q^{88} +(12.7492 + 10.6978i) q^{89} +(7.69622 + 0.855091i) q^{90} +(4.58274 + 12.5910i) q^{91} +(-2.45265 - 2.92296i) q^{92} +(6.50720 - 12.1512i) 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} +(-6.24498 + 4.15861i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{6} + 9q^{8} + O(q^{10}) \) \( 18q + 3q^{6} + 9q^{8} - 12q^{13} + 12q^{14} - 24q^{15} - 6q^{17} - 6q^{19} - 24q^{22} - 18q^{25} - 18q^{26} - 3q^{27} + 6q^{28} + 6q^{29} - 27q^{33} - 6q^{34} + 24q^{35} - 3q^{36} - 3q^{38} + 6q^{39} - 3q^{41} - 6q^{43} - 24q^{44} + 54q^{45} + 18q^{46} - 30q^{47} + 6q^{48} + 21q^{49} - 3q^{50} - 33q^{51} - 6q^{52} + 60q^{53} + 30q^{55} + 12q^{57} + 12q^{58} - 3q^{59} + 18q^{60} + 54q^{61} - 6q^{62} + 84q^{63} - 9q^{64} - 24q^{65} + 30q^{66} - 15q^{67} + 27q^{68} + 24q^{69} + 24q^{70} - 36q^{71} - 42q^{73} - 6q^{74} - 18q^{78} - 6q^{79} + 3q^{82} - 36q^{83} - 24q^{84} + 6q^{86} - 54q^{87} + 60q^{89} - 12q^{90} - 18q^{91} - 84q^{93} - 6q^{95} + 9q^{97} - 12q^{98} - 30q^{99} + O(q^{100}) \)

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
\(3\) −0.0553136 1.73117i −0.0319353 0.999490i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) 0.882820 2.42553i 0.394809 1.08473i −0.569970 0.821666i \(-0.693045\pi\)
0.964779 0.263063i \(-0.0847327\pi\)
\(6\) −1.69526 + 0.355087i −0.692088 + 0.144964i
\(7\) −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
\(9\) −2.99388 + 0.191514i −0.997960 + 0.0638380i
\(10\) −2.54198 0.448219i −0.803844 0.141739i
\(11\) 2.16590 1.25049i 0.653045 0.377036i −0.136577 0.990629i \(-0.543610\pi\)
0.789622 + 0.613594i \(0.210277\pi\)
\(12\) 0.644072 + 1.60785i 0.185928 + 0.464145i
\(13\) 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
\(15\) −4.24783 1.39414i −1.09678 0.359966i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −1.32278 + 0.233243i −0.320822 + 0.0565696i −0.331740 0.943371i \(-0.607636\pi\)
0.0109180 + 0.999940i \(0.496525\pi\)
\(18\) 0.708487 + 2.91514i 0.166992 + 0.687105i
\(19\) 3.14841 + 3.01455i 0.722294 + 0.691586i
\(20\) 2.58119i 0.577172i
\(21\) 4.83647 + 2.59003i 1.05541 + 0.565190i
\(22\) −1.60759 1.91586i −0.342740 0.408462i
\(23\) 1.30503 + 3.58554i 0.272117 + 0.747636i 0.998197 + 0.0600255i \(0.0191182\pi\)
−0.726080 + 0.687611i \(0.758660\pi\)
\(24\) 1.47158 0.913487i 0.300385 0.186465i
\(25\) −1.27359 1.06867i −0.254718 0.213734i
\(26\) −3.66340 2.11506i −0.718451 0.414798i
\(27\) 0.497145 + 5.17232i 0.0956757 + 0.995413i
\(28\) 0.550036 3.11941i 0.103947 0.589513i
\(29\) 1.32242 7.49981i 0.245567 1.39268i −0.573606 0.819132i \(-0.694456\pi\)
0.819172 0.573547i \(-0.194433\pi\)
\(30\) −0.635337 + 4.42538i −0.115996 + 0.807961i
\(31\) 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
\(33\) −2.28460 3.68037i −0.397699 0.640671i
\(34\) 0.459398 + 1.26219i 0.0787861 + 0.216463i
\(35\) 5.25543 + 6.26318i 0.888330 + 1.05867i
\(36\) 2.74783 1.20393i 0.457971 0.200655i
\(37\) 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 −0.941805 0.336158i \(-0.890872\pi\)
0.167509 + 0.985871i \(0.446428\pi\)
\(42\) 1.71083 5.21275i 0.263987 0.804345i
\(43\) −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
\(45\) −2.17853 + 7.43081i −0.324757 + 1.10772i
\(46\) 3.30445 1.90782i 0.487214 0.281293i
\(47\) −6.16940 1.08783i −0.899899 0.158676i −0.295486 0.955347i \(-0.595481\pi\)
−0.604414 + 0.796671i \(0.706593\pi\)
\(48\) −1.15515 1.29060i −0.166731 0.186282i
\(49\) −1.51662 2.62686i −0.216660 0.375266i
\(50\) −0.831277 + 1.43981i −0.117560 + 0.203621i
\(51\) 0.476950 + 2.27706i 0.0667863 + 0.318852i
\(52\) −1.44679 + 3.97502i −0.200633 + 0.551236i
\(53\) 3.46508 1.26118i 0.475965 0.173237i −0.0928877 0.995677i \(-0.529610\pi\)
0.568853 + 0.822440i \(0.307388\pi\)
\(54\) 5.00741 1.38776i 0.681422 0.188850i
\(55\) −1.12098 6.35742i −0.151153 0.857234i
\(56\) −3.16753 −0.423279
\(57\) 5.04455 5.61716i 0.668167 0.744011i
\(58\) −7.61550 −0.999964
\(59\) 1.54335 + 8.75275i 0.200927 + 1.13951i 0.903722 + 0.428119i \(0.140824\pi\)
−0.702796 + 0.711392i \(0.748065\pi\)
\(60\) 4.46848 0.142775i 0.576878 0.0184322i
\(61\) −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
\(63\) 4.21625 8.51601i 0.531197 1.07292i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −5.45938 9.45593i −0.677153 1.17286i
\(66\) −3.22774 + 2.88899i −0.397308 + 0.355610i
\(67\) −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
\(69\) 6.13498 2.45755i 0.738565 0.295855i
\(70\) 5.25543 6.26318i 0.628144 0.748593i
\(71\) −8.59275 3.12750i −1.01977 0.371166i −0.222594 0.974911i \(-0.571452\pi\)
−0.797178 + 0.603745i \(0.793675\pi\)
\(72\) −1.66280 2.49702i −0.195962 0.294277i
\(73\) −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
\(78\) −3.45889 + 6.45894i −0.391642 + 0.731331i
\(79\) 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
\(81\) 8.92664 1.14674i 0.991849 0.127416i
\(82\) 4.95792 + 4.16019i 0.547511 + 0.459416i
\(83\) −12.3308 7.11920i −1.35348 0.781433i −0.364747 0.931107i \(-0.618844\pi\)
−0.988735 + 0.149673i \(0.952178\pi\)
\(84\) −5.43064 0.779658i −0.592531 0.0850677i
\(85\) −0.602044 + 3.41436i −0.0653008 + 0.370339i
\(86\) −2.17066 + 12.3104i −0.234068 + 1.32747i
\(87\) −13.0566 1.87449i −1.39981 0.200966i
\(88\) 2.16590 + 1.25049i 0.230886 + 0.133302i
\(89\) 12.7492 + 10.6978i 1.35141 + 1.13397i 0.978533 + 0.206089i \(0.0660737\pi\)
0.372879 + 0.927880i \(0.378371\pi\)
\(90\) 7.69622 + 0.855091i 0.811253 + 0.0901345i
\(91\) 4.58274 + 12.5910i 0.480402 + 1.31989i
\(92\) −2.45265 2.92296i −0.255707 0.304739i
\(93\) 6.50720 12.1512i 0.674765 1.26002i
\(94\) 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
\(99\) −6.24498 + 4.15861i −0.627644 + 0.417956i
\(100\) 1.56229 + 0.568627i 0.156229 + 0.0568627i
\(101\) −7.56338 + 9.01368i −0.752584 + 0.896895i −0.997355 0.0726860i \(-0.976843\pi\)
0.244771 + 0.969581i \(0.421287\pi\)
\(102\) 2.15964 0.865111i 0.213837 0.0856588i
\(103\) 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
\(105\) 10.5519 9.44447i 1.02976 0.921686i
\(106\) −1.84373 3.19343i −0.179079 0.310174i
\(107\) −2.82951 + 4.90085i −0.273539 + 0.473783i −0.969765 0.244039i \(-0.921528\pi\)
0.696227 + 0.717822i \(0.254861\pi\)
\(108\) −2.23620 4.69035i −0.215178 0.451329i
\(109\) 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
\(111\) 7.10590 0.227045i 0.674462 0.0215502i
\(112\) 0.550036 + 3.11941i 0.0519735 + 0.294756i
\(113\) −5.15697 −0.485127 −0.242564 0.970136i \(-0.577988\pi\)
−0.242564 + 0.970136i \(0.577988\pi\)
\(114\) −6.40780 3.99250i −0.600146 0.373932i
\(115\) 9.84893 0.918417
\(116\) 1.32242 + 7.49981i 0.122783 + 0.696339i
\(117\) −7.51998 + 10.2223i −0.695223 + 0.945052i
\(118\) 8.35178 3.03980i 0.768843 0.279836i
\(119\) 1.45516 3.99801i 0.133394 0.366497i
\(120\) −0.916549 4.37580i −0.0836691 0.399454i
\(121\) −2.37257 + 4.10941i −0.215688 + 0.373583i
\(122\) 0.0709282 + 0.122851i 0.00642154 + 0.0111224i
\(123\) 7.47622 + 8.35287i 0.674108 + 0.753153i
\(124\) −7.83721 1.38191i −0.703802 0.124099i
\(125\) 7.46045 4.30729i 0.667283 0.385256i
\(126\) −9.11878 2.67340i −0.812365 0.238166i
\(127\) 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
\(129\) −6.75164 + 20.5716i −0.594448 + 1.81123i
\(130\) −8.36426 + 7.01845i −0.733594 + 0.615559i
\(131\) 4.43285 0.781631i 0.387300 0.0682914i 0.0233919 0.999726i \(-0.492553\pi\)
0.363908 + 0.931435i \(0.381442\pi\)
\(132\) 3.40559 + 2.67704i 0.296418 + 0.233006i
\(133\) −13.2557 + 3.86224i −1.14942 + 0.334898i
\(134\) 4.55719i 0.393681i
\(135\) 12.9845 + 3.36038i 1.11753 + 0.289216i
\(136\) −0.863386 1.02894i −0.0740347 0.0882312i
\(137\) 2.69063 + 7.39245i 0.229876 + 0.631580i 0.999980 0.00633905i \(-0.00201780\pi\)
−0.770104 + 0.637919i \(0.779796\pi\)
\(138\) −3.48554 5.61503i −0.296709 0.477983i
\(139\) −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
\(141\) −1.54197 + 10.7404i −0.129857 + 0.904507i
\(142\) −1.58788 + 9.00529i −0.133252 + 0.755707i
\(143\) 1.83710 10.4187i 0.153626 0.871255i
\(144\) −2.17034 + 2.07114i −0.180862 + 0.172595i
\(145\) −17.0235 9.82854i −1.41373 0.816216i
\(146\) 1.67672 + 1.40694i 0.138767 + 0.116439i
\(147\) −4.46365 + 2.77082i −0.368156 + 0.228534i
\(148\) −1.40389 3.85714i −0.115399 0.317055i
\(149\) −8.79633 10.4831i −0.720624 0.858806i 0.274068 0.961710i \(-0.411631\pi\)
−0.994691 + 0.102905i \(0.967186\pi\)
\(150\) 2.53854 + 1.35944i 0.207271 + 0.110998i
\(151\) 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
\(156\) 6.96145 + 2.28476i 0.557362 + 0.182927i
\(157\) −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
\(159\) −2.37499 5.92887i −0.188349 0.470190i
\(160\) −2.23538 + 1.29060i −0.176722 + 0.102031i
\(161\) −11.9026 2.09874i −0.938053 0.165404i
\(162\) −2.67942 8.59190i −0.210515 0.675043i
\(163\) 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
\(165\) −10.9437 + 2.29226i −0.851969 + 0.178452i
\(166\) −4.86982 + 13.3797i −0.377971 + 1.03847i
\(167\) 2.20429 0.802294i 0.170573 0.0620834i −0.255322 0.966856i \(-0.582182\pi\)
0.425895 + 0.904773i \(0.359959\pi\)
\(168\) 0.175207 + 5.48352i 0.0135175 + 0.423063i
\(169\) −0.849826 4.81960i −0.0653712 0.370739i
\(170\) 3.46703 0.265909
\(171\) −10.0033 8.42225i −0.764970 0.644066i
\(172\) 12.5003 0.953142
\(173\) −2.59056 14.6918i −0.196956 1.11700i −0.909605 0.415474i \(-0.863616\pi\)
0.712649 0.701521i \(-0.247495\pi\)
\(174\) 0.421241 + 13.1837i 0.0319342 + 0.999454i
\(175\) 4.94860 1.80114i 0.374079 0.136154i
\(176\) 0.855383 2.35014i 0.0644769 0.177149i
\(177\) 15.0671 3.15594i 1.13251 0.237215i
\(178\) 8.32145 14.4132i 0.623719 1.08031i
\(179\) 0.0974666 + 0.168817i 0.00728500 + 0.0126180i 0.869645 0.493678i \(-0.164348\pi\)
−0.862360 + 0.506296i \(0.831014\pi\)
\(180\) −0.494335 7.72778i −0.0368455 0.575995i
\(181\) −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
\(183\) 0.0913657 + 0.228083i 0.00675395 + 0.0168604i
\(184\) −2.45265 + 2.92296i −0.180812 + 0.215483i
\(185\) 9.95603 + 3.62370i 0.731982 + 0.266420i
\(186\) −13.0965 4.29831i −0.960285 0.315167i
\(187\) −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 \(-0.866596\pi\)
0.913455 0.406939i \(-0.133404\pi\)
\(192\) 1.52689 + 0.817681i 0.110194 + 0.0590110i
\(193\) −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
\(195\) −16.0678 + 9.97415i −1.15064 + 0.714263i
\(196\) 2.32360 + 1.94973i 0.165971 + 0.139266i
\(197\) 19.7987 + 11.4308i 1.41060 + 0.814411i 0.995445 0.0953383i \(-0.0303933\pi\)
0.415157 + 0.909750i \(0.363727\pi\)
\(198\) 5.17986 + 5.42797i 0.368116 + 0.385749i
\(199\) 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
\(201\) −1.12171 + 7.81317i −0.0791193 + 0.551098i
\(202\) 10.1901 + 5.88326i 0.716974 + 0.413945i
\(203\) 18.4788 + 15.5055i 1.29696 + 1.08827i
\(204\) −1.22699 1.97661i −0.0859062 0.138390i
\(205\) 5.71370 + 15.6983i 0.399062 + 1.09641i
\(206\) −5.02879 5.99308i −0.350373 0.417558i
\(207\) −4.59378 10.4847i −0.319290 0.728740i
\(208\) 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
\(213\) −4.93894 + 15.0485i −0.338410 + 1.03110i
\(214\) 5.31773 + 1.93550i 0.363513 + 0.132308i
\(215\) −20.7400 + 24.7170i −1.41446 + 1.68569i
\(216\) −4.23078 + 3.01670i −0.287868 + 0.205260i
\(217\) −21.8304 + 12.6038i −1.48194 + 0.855600i
\(218\) −16.2542 2.86605i −1.10087 0.194113i
\(219\) 2.52839 + 2.82486i 0.170853 + 0.190887i
\(220\) 3.22774 + 5.59062i 0.217614 + 0.376919i
\(221\) −2.84093 + 4.92064i −0.191102 + 0.330998i
\(222\) −1.45752 6.95852i −0.0978225 0.467025i
\(223\) 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
\(225\) 4.01764 + 2.95556i 0.267843 + 0.197037i
\(226\) 0.895499 + 5.07863i 0.0595677 + 0.337825i
\(227\) −20.0547 −1.33108 −0.665539 0.746363i \(-0.731798\pi\)
−0.665539 + 0.746363i \(0.731798\pi\)
\(228\) −2.81914 + 7.00374i −0.186702 + 0.463834i
\(229\) 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
\(231\) 13.7141 0.438189i 0.902324 0.0288307i
\(232\) 7.15623 2.60466i 0.469830 0.171004i
\(233\) 2.12137 5.82843i 0.138976 0.381833i −0.850606 0.525803i \(-0.823765\pi\)
0.989582 + 0.143970i \(0.0459870\pi\)
\(234\) 11.3728 + 5.63065i 0.743465 + 0.368087i
\(235\) −8.08503 + 14.0037i −0.527409 + 0.913500i
\(236\) −4.44389 7.69704i −0.289272 0.501035i
\(237\) 12.8804 11.5286i 0.836672 0.748862i
\(238\) −4.18996 0.738802i −0.271595 0.0478895i
\(239\) 0.498666 0.287905i 0.0322560 0.0186230i −0.483785 0.875187i \(-0.660738\pi\)
0.516041 + 0.856564i \(0.327405\pi\)
\(240\) −4.15016 + 1.66247i −0.267892 + 0.107312i
\(241\) −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
\(243\) −2.47897 15.3901i −0.159026 0.987274i
\(244\) 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
\(249\) −11.6425 + 21.7405i −0.737811 + 1.37775i
\(250\) −5.53735 6.59916i −0.350213 0.417367i
\(251\) −2.05161 5.63675i −0.129496 0.355789i 0.857952 0.513730i \(-0.171737\pi\)
−0.987449 + 0.157941i \(0.949514\pi\)
\(252\) −1.04933 + 9.44447i −0.0661016 + 0.594946i
\(253\) 7.31023 + 6.13401i 0.459590 + 0.385642i
\(254\) −6.78694 3.91844i −0.425850 0.245865i
\(255\) 5.94413 + 0.853378i 0.372236 + 0.0534406i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −3.23144 + 18.3264i −0.201572 + 1.14317i 0.701172 + 0.712992i \(0.252660\pi\)
−0.902744 + 0.430178i \(0.858451\pi\)
\(258\) 21.4315 + 3.07684i 1.33427 + 0.191556i
\(259\) −11.2598 6.50086i −0.699651 0.403944i
\(260\) 8.36426 + 7.01845i 0.518729 + 0.435266i
\(261\) −2.52284 + 22.7068i −0.156160 + 1.40551i
\(262\) −1.53951 4.22977i −0.0951113 0.261316i
\(263\) 1.37946 + 1.64398i 0.0850614 + 0.101372i 0.806896 0.590693i \(-0.201146\pi\)
−0.721835 + 0.692065i \(0.756701\pi\)
\(264\) 2.04500 3.81871i 0.125861 0.235026i
\(265\) 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 \(0.569220\pi\)
−0.999079 + 0.0429154i \(0.986335\pi\)
\(270\) 1.05460 13.3707i 0.0641809 0.813718i
\(271\) 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
\(273\) 21.5436 8.62995i 1.30388 0.522308i
\(274\) 6.81292 3.93344i 0.411583 0.237628i
\(275\) −4.09483 0.722029i −0.246928 0.0435400i
\(276\) −4.92446 + 4.40763i −0.296418 + 0.265308i
\(277\) −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
\(279\) −21.3957 10.5929i −1.28092 0.634182i
\(280\) −2.79636 + 7.68293i −0.167114 + 0.459143i
\(281\) 28.0317 10.2027i 1.67223 0.608642i 0.680017 0.733196i \(-0.261972\pi\)
0.992213 + 0.124555i \(0.0397502\pi\)
\(282\) 10.8450 0.346516i 0.645811 0.0206347i
\(283\) 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
\(285\) −9.17116 17.1946i −0.543252 1.01852i
\(286\) −10.5794 −0.625574
\(287\) −3.55989 20.1891i −0.210134 1.19173i
\(288\) 2.41655 + 1.77772i 0.142396 + 0.104753i
\(289\) −14.2794 + 5.19728i −0.839966 + 0.305723i
\(290\) −6.72312 + 18.4716i −0.394795 + 1.08469i
\(291\) −0.194191 0.927107i −0.0113837 0.0543480i
\(292\) 1.09440 1.89556i 0.0640451 0.110929i
\(293\) −4.63502 8.02810i −0.270781 0.469006i 0.698281 0.715824i \(-0.253949\pi\)
−0.969062 + 0.246817i \(0.920615\pi\)
\(294\) 3.50383 + 3.91469i 0.204348 + 0.228309i
\(295\) 22.5925 + 3.98367i 1.31539 + 0.231938i
\(296\) −3.55476 + 2.05234i −0.206616 + 0.119290i
\(297\) 7.54468 + 10.5811i 0.437787 + 0.613976i
\(298\) −8.79633 + 10.4831i −0.509558 + 0.607267i
\(299\) 15.1673 + 5.52043i 0.877146 + 0.319255i
\(300\) 0.897973 2.73604i 0.0518445 0.157965i
\(301\) 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
\(306\) −1.61711 3.69085i −0.0924440 0.210992i
\(307\) 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
\(309\) −7.14658 11.5128i −0.406555 0.654938i
\(310\) −15.7356 13.2038i −0.893724 0.749924i
\(311\) −19.8290 11.4483i −1.12440 0.649172i −0.181879 0.983321i \(-0.558218\pi\)
−0.942520 + 0.334148i \(0.891551\pi\)
\(312\) 1.04121 7.25243i 0.0589467 0.410588i
\(313\) −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
\(315\) −16.9336 17.7447i −0.954102 0.999802i
\(316\) −8.64310 4.99010i −0.486213 0.280715i
\(317\) −15.9117 13.3515i −0.893689 0.749894i 0.0752579 0.997164i \(-0.476022\pi\)
−0.968947 + 0.247270i \(0.920466\pi\)
\(318\) −5.42638 + 3.36844i −0.304296 + 0.188893i
\(319\) −6.51417 17.8975i −0.364723 1.00207i
\(320\) 1.65916 + 1.97731i 0.0927498 + 0.110535i
\(321\) 8.64070 + 4.62727i 0.482277 + 0.258269i
\(322\) 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
\(327\) −27.1618 8.91456i −1.50205 0.492977i
\(328\) −6.08179 2.21359i −0.335811 0.122225i
\(329\) 12.7550 15.2008i 0.703204 0.838046i
\(330\) 4.15780 + 10.3794i 0.228879 + 0.571369i
\(331\) 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
\(333\) −0.786106 12.2889i −0.0430783 0.673430i
\(334\) −1.17288 2.03148i −0.0641769 0.111158i
\(335\) −5.88149 + 10.1870i −0.321340 + 0.556577i
\(336\) 5.36979 1.12475i 0.292946 0.0613601i
\(337\) 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
\(339\) 0.285251 + 8.92758i 0.0154927 + 0.484880i
\(340\) −0.602044 3.41436i −0.0326504 0.185170i
\(341\) 19.9030 1.07781
\(342\) −6.55725 + 11.3138i −0.354575 + 0.611781i
\(343\) −12.5648 −0.678437
\(344\) −2.17066 12.3104i −0.117034 0.663734i
\(345\) −0.544779 17.0501i −0.0293299 0.917949i
\(346\) −14.0187 + 5.10240i −0.753652 + 0.274307i
\(347\) −4.73541 + 13.0104i −0.254210 + 0.698436i 0.745288 + 0.666743i \(0.232312\pi\)
−0.999498 + 0.0316932i \(0.989910\pi\)
\(348\) 12.9103 2.70417i 0.692063 0.144959i
\(349\) −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
\(351\) 18.1125 + 12.4529i 0.966772 + 0.664687i
\(352\) −2.46298 0.434289i −0.131277 0.0231477i
\(353\) −19.7460 + 11.4004i −1.05098 + 0.606781i −0.922922 0.384987i \(-0.874206\pi\)
−0.128053 + 0.991767i \(0.540873\pi\)
\(354\) −5.72437 14.2902i −0.304247 0.759515i
\(355\) −15.1717 + 18.0809i −0.805230 + 0.959636i
\(356\) −15.6392 5.69220i −0.828876 0.301686i
\(357\) −7.00172 2.29798i −0.370570 0.121622i
\(358\) 0.149328 0.125301i 0.00789221 0.00662235i
\(359\) −7.31056 + 1.28905i −0.385837 + 0.0680334i −0.363202 0.931710i \(-0.618317\pi\)
−0.0226346 + 0.999744i \(0.507205\pi\)
\(360\) −7.52454 + 1.82874i −0.396578 + 0.0963831i
\(361\) 0.824917 + 18.9821i 0.0434167 + 0.999057i
\(362\) 7.11314i 0.373858i
\(363\) 7.24532 + 3.88001i 0.380281 + 0.203648i
\(364\) −8.61274 10.2643i −0.451430 0.537993i
\(365\) 1.93232 + 5.30901i 0.101142 + 0.277886i
\(366\) 0.208753 0.129584i 0.0109117 0.00677346i
\(367\) −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
\(369\) 14.0467 13.4046i 0.731241 0.697817i
\(370\) 1.83980 10.4340i 0.0956467 0.542439i
\(371\) −2.02823 + 11.5027i −0.105301 + 0.597189i
\(372\) −1.95882 + 13.6440i −0.101560 + 0.707407i
\(373\) 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
\(375\) −7.86931 12.6770i −0.406370 0.654640i
\(376\) −2.14261 5.88677i −0.110497 0.303587i
\(377\) −20.7071 24.6778i −1.06647 1.27097i
\(378\) −4.12372 + 15.9340i −0.212101 + 0.819557i
\(379\) 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 −0.517592 0.855628i \(-0.673171\pi\)
0.752750 + 0.658307i \(0.228727\pi\)
\(384\) 0.540116 1.64568i 0.0275627 0.0839809i
\(385\) 19.2148 + 6.99361i 0.979276 + 0.356427i
\(386\) −10.3664 + 12.3541i −0.527634 + 0.628809i
\(387\) 35.9863 + 10.5503i 1.82929 + 0.536303i
\(388\) −0.473613 + 0.273441i −0.0240441 + 0.0138818i
\(389\) 20.4701 + 3.60942i 1.03787 + 0.183005i 0.666520 0.745487i \(-0.267783\pi\)
0.371353 + 0.928492i \(0.378894\pi\)
\(390\) 12.6128 + 14.0917i 0.638672 + 0.713562i
\(391\) −2.56257 4.43850i −0.129595 0.224465i
\(392\) 1.51662 2.62686i 0.0766009 0.132677i
\(393\) −1.59833 7.63076i −0.0806251 0.384921i
\(394\) 7.81913 21.4829i 0.393922 1.08229i
\(395\) 24.2072 8.81072i 1.21800 0.443315i
\(396\) 4.44603 6.04372i 0.223421 0.303708i
\(397\) 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
\(399\) 7.41940 + 22.7343i 0.371435 + 1.13814i
\(400\) −1.66255 −0.0831277
\(401\) −1.59795 9.06241i −0.0797977 0.452555i −0.998358 0.0572753i \(-0.981759\pi\)
0.918561 0.395280i \(-0.129352\pi\)
\(402\) 7.88925 0.252074i 0.393480 0.0125723i
\(403\) 31.6336 11.5137i 1.57578 0.573538i
\(404\) 4.02439 11.0569i 0.200221 0.550102i
\(405\) 5.09917 22.6642i 0.253380 1.12619i
\(406\) 12.0612 20.8905i 0.598585 1.03678i
\(407\) 5.13285 + 8.89036i 0.254426 + 0.440679i
\(408\) −1.73352 + 1.55158i −0.0858218 + 0.0768147i
\(409\) 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
\(411\) 12.6487 5.06684i 0.623916 0.249929i
\(412\) −5.02879 + 5.99308i −0.247751 + 0.295258i
\(413\) −26.4545 9.62865i −1.30174 0.473795i
\(414\) −9.52775 + 6.34465i −0.468263 + 0.311822i
\(415\) −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 \(0.166256\pi\)
−0.866669 + 0.498883i \(0.833744\pi\)
\(420\) −6.68536 + 12.4839i −0.326212 + 0.609150i
\(421\) −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
\(423\) 18.6788 + 2.07531i 0.908193 + 0.100905i
\(424\) 2.82476 + 2.37025i 0.137182 + 0.115110i
\(425\) 1.93394 + 1.11656i 0.0938101 + 0.0541613i
\(426\) 15.6775 + 2.25076i 0.759577 + 0.109050i
\(427\) 0.0780261 0.442508i 0.00377595 0.0214144i
\(428\) 0.982678 5.57304i 0.0474995 0.269383i
\(429\) −18.1381 2.60403i −0.875717 0.125724i
\(430\) 27.9430 + 16.1329i 1.34753 + 0.777997i
\(431\) 7.15165 + 6.00095i 0.344483 + 0.289055i 0.798570 0.601902i \(-0.205590\pi\)
−0.454087 + 0.890957i \(0.650035\pi\)
\(432\) 3.70554 + 3.64266i 0.178283 + 0.175258i
\(433\) −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
\(435\) −16.0732 + 30.0142i −0.770652 + 1.43907i
\(436\) 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
\(441\) 5.04366 + 7.57406i 0.240174 + 0.360670i
\(442\) 5.33920 + 1.94331i 0.253960 + 0.0924339i
\(443\) −17.0745 + 20.3486i −0.811235 + 0.966792i −0.999884 0.0152527i \(-0.995145\pi\)
0.188649 + 0.982045i \(0.439589\pi\)
\(444\) −6.59971 + 2.64371i −0.313208 + 0.125465i
\(445\) 37.2032 21.4793i 1.76360 1.01821i
\(446\) −6.57346 1.15908i −0.311262 0.0548839i
\(447\) −17.6614 + 15.8078i −0.835354 + 0.747682i
\(448\) −1.58376 2.74316i −0.0748258 0.129602i
\(449\) 5.66925 9.81944i 0.267549 0.463408i −0.700680 0.713476i \(-0.747120\pi\)
0.968228 + 0.250068i \(0.0804531\pi\)
\(450\) 2.21300 4.46983i 0.104322 0.210710i
\(451\) −5.53612 + 15.2104i −0.260686 + 0.716229i
\(452\) 4.84597 1.76379i 0.227935 0.0829616i
\(453\) −14.9513 + 0.477717i −0.702472 + 0.0224451i
\(454\) 3.48246 + 19.7500i 0.163440 + 0.926915i
\(455\) 34.5855 1.62139
\(456\) 7.38688 + 1.56013i 0.345922 + 0.0730596i
\(457\) −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
\(459\) −1.86402 6.72590i −0.0870050 0.313938i
\(460\) −9.25496 + 3.36853i −0.431515 + 0.157059i
\(461\) −9.40832 + 25.8492i −0.438189 + 1.20392i 0.502480 + 0.864589i \(0.332421\pi\)
−0.940669 + 0.339326i \(0.889801\pi\)
\(462\) −2.81297 13.4297i −0.130871 0.624806i
\(463\) −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
\(465\) −23.7283 26.5107i −1.10038 1.22940i
\(466\) −6.10825 1.07705i −0.282959 0.0498934i
\(467\) 17.7092 10.2244i 0.819486 0.473130i −0.0307535 0.999527i \(-0.509791\pi\)
0.850239 + 0.526397i \(0.176457\pi\)
\(468\) 3.57024 12.1778i 0.165034 0.562919i
\(469\) 9.27865 11.0579i 0.428448 0.510605i
\(470\) 15.1949 + 5.53049i 0.700888 + 0.255102i
\(471\) −1.85530 + 5.65293i −0.0854878 + 0.260473i
\(472\) −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
\(477\) −10.1325 + 4.43945i −0.463935 + 0.203268i
\(478\) −0.370124 0.441096i −0.0169291 0.0201753i
\(479\) 3.36367 + 9.24160i 0.153690 + 0.422259i 0.992512 0.122146i \(-0.0389776\pi\)
−0.838822 + 0.544405i \(0.816755\pi\)
\(480\) 2.35788 + 3.79843i 0.107622 + 0.173374i
\(481\) 13.3011 + 11.1609i 0.606477 + 0.508895i
\(482\) 1.47079 + 0.849159i 0.0669925 + 0.0386781i
\(483\) −2.97490 + 20.7214i −0.135363 + 0.942857i
\(484\) 0.823985 4.67305i 0.0374539 0.212411i
\(485\) 0.245123 1.39016i 0.0111305 0.0631239i
\(486\) −14.7258 + 5.11376i −0.667976 + 0.231965i
\(487\) −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
\(489\) 11.2814 7.00294i 0.510161 0.316684i
\(490\) 2.67780 + 7.35721i 0.120971 + 0.332365i
\(491\) −18.0754 21.5414i −0.815729 0.972148i 0.184213 0.982886i \(-0.441026\pi\)
−0.999942 + 0.0107379i \(0.996582\pi\)
\(492\) −9.88220 5.29211i −0.445524 0.238587i
\(493\) 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
\(498\) 23.4319 + 7.69039i 1.05001 + 0.344615i
\(499\) −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
\(501\) −1.51083 3.77161i −0.0674990 0.168503i
\(502\) −5.19486 + 2.99925i −0.231858 + 0.133863i
\(503\) 25.8762 + 4.56267i 1.15376 + 0.203439i 0.717618 0.696437i \(-0.245233\pi\)
0.436144 + 0.899877i \(0.356344\pi\)
\(504\) 9.48320 0.606627i 0.422415 0.0270213i
\(505\) 15.1858 + 26.3026i 0.675761 + 1.17045i
\(506\) 4.77142 8.26433i 0.212115 0.367394i
\(507\) −8.29653 + 1.73778i −0.368462 + 0.0771775i
\(508\) −2.68037 + 7.36426i −0.118922 + 0.326736i
\(509\) 25.0043 9.10082i 1.10830 0.403387i 0.277928 0.960602i \(-0.410352\pi\)
0.830368 + 0.557215i \(0.188130\pi\)
\(510\) −0.191774 6.00201i −0.00849190 0.265774i
\(511\) −1.20392 6.82777i −0.0532583 0.302043i
\(512\) −1.00000 −0.0441942
\(513\) −14.0270 + 17.7832i −0.619308 + 0.785148i
\(514\) 18.6091 0.820813
\(515\) −3.50661 19.8869i −0.154520 0.876324i
\(516\) −0.691439 21.6402i −0.0304389 0.952656i
\(517\) −14.7226 + 5.35860i −0.647501 + 0.235671i
\(518\) −4.44685 + 12.2176i −0.195383 + 0.536811i
\(519\) −25.2906 + 5.29734i −1.11014 + 0.232528i
\(520\) 5.45938 9.45593i 0.239410 0.414670i
\(521\) 10.2977 + 17.8362i 0.451151 + 0.781417i 0.998458 0.0555154i \(-0.0176802\pi\)
−0.547307 + 0.836932i \(0.684347\pi\)
\(522\) 22.7999 1.45848i 0.997925 0.0638358i
\(523\) 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
\(525\) −3.39180 8.46723i −0.148031 0.369540i
\(526\) 1.37946 1.64398i 0.0601475 0.0716810i
\(527\) −10.0446 3.65594i −0.437550 0.159255i
\(528\) −4.11581 1.35082i −0.179118 0.0587867i
\(529\) 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
\(534\) −25.4119 13.6086i −1.09968 0.588901i
\(535\) 9.38920 + 11.1896i 0.405931 + 0.483769i
\(536\) −1.55865 4.28235i −0.0673234 0.184970i
\(537\) 0.286860 0.178069i 0.0123789 0.00768424i
\(538\) 19.9247 + 16.7188i 0.859015 + 0.720799i
\(539\) −6.56971 3.79302i −0.282977 0.163377i
\(540\) −13.3507 + 1.28323i −0.574524 + 0.0552213i
\(541\) 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
\(543\) −1.75083 + 12.1953i −0.0751354 + 0.523349i
\(544\) 1.16324 + 0.671595i 0.0498734 + 0.0287944i
\(545\) −32.6353 27.3842i −1.39794 1.17301i
\(546\) −12.2398 19.7177i −0.523817 0.843841i
\(547\) −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
\(549\) 0.389797 0.170785i 0.0166361 0.00728894i
\(550\) 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
\(555\) 5.72253 17.4360i 0.242908 0.740117i
\(556\) 7.07526 + 2.57518i 0.300058 + 0.109212i
\(557\) 13.8808 16.5425i 0.588147 0.700927i −0.387101 0.922037i \(-0.626524\pi\)
0.975249 + 0.221110i \(0.0709681\pi\)
\(558\) −6.71667 + 22.9101i −0.284339 + 0.969860i
\(559\) −45.7937 + 26.4390i −1.93687 + 1.11825i
\(560\) 8.05179 + 1.41975i 0.340250 + 0.0599953i
\(561\) 3.88046 + 4.33547i 0.163833 + 0.183044i
\(562\) −14.9153 25.8341i −0.629166 1.08975i
\(563\) 13.0149 22.5424i 0.548512 0.950051i −0.449865 0.893097i \(-0.648528\pi\)
0.998377 0.0569541i \(-0.0181389\pi\)
\(564\) −2.22447 10.6201i −0.0936671 0.447186i
\(565\) −4.55268 + 12.5084i −0.191533 + 0.526231i
\(566\) 22.1991 8.07982i 0.933099 0.339620i
\(567\) −10.9920 + 26.3034i −0.461621 + 1.10464i
\(568\) −1.58788 9.00529i −0.0666258 0.377854i
\(569\) 4.80544 0.201455 0.100727 0.994914i \(-0.467883\pi\)
0.100727 + 0.994914i \(0.467883\pi\)
\(570\) −15.3409 + 12.0176i −0.642558 + 0.503364i
\(571\) −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
\(573\) −19.4722 + 0.622168i −0.813462 + 0.0259914i
\(574\) −19.2642 + 7.01161i −0.804074 + 0.292659i
\(575\) 2.16968 5.96115i 0.0904820 0.248597i
\(576\) 1.33108 2.68853i 0.0554618 0.112022i
\(577\) 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
\(579\) −20.8137 + 18.6293i −0.864987 + 0.774205i
\(580\) 19.3584 + 3.41342i 0.803816 + 0.141734i
\(581\) 39.0582 22.5503i 1.62041 0.935543i
\(582\) −0.879301 + 0.352231i −0.0364482 + 0.0146004i
\(583\) 5.92793 7.06463i 0.245510 0.292587i
\(584\) −2.05680 0.748615i −0.0851112 0.0309779i
\(585\) 18.1557 + 27.2644i 0.750645 + 1.12724i
\(586\) −7.10127 + 5.95867i −0.293351 + 0.246150i
\(587\) 14.9298 2.63253i 0.616220 0.108656i 0.143180 0.989697i \(-0.454267\pi\)
0.473041 + 0.881040i \(0.343156\pi\)
\(588\) 3.24678 4.13038i 0.133895 0.170334i
\(589\) 9.70350 + 33.3038i 0.399826 + 1.37226i
\(590\) 22.9411i 0.944469i
\(591\) 18.6935 34.9072i 0.768948 1.43589i
\(592\) 2.63844 + 3.14437i 0.108439 + 0.129233i
\(593\) −0.398860 1.09586i −0.0163792 0.0450015i 0.931234 0.364423i \(-0.118734\pi\)
−0.947613 + 0.319421i \(0.896511\pi\)
\(594\) 9.11020 9.26744i 0.373796 0.380248i
\(595\) −8.41264 7.05905i −0.344885 0.289393i
\(596\) 11.8513 + 6.84233i 0.485447 + 0.280273i
\(597\) −0.572431 0.0821819i −0.0234280 0.00336348i
\(598\) 2.80280 15.8955i 0.114615 0.650014i
\(599\) −4.45202 + 25.2486i −0.181905 + 1.03163i 0.747964 + 0.663739i \(0.231032\pi\)
−0.929868 + 0.367892i \(0.880079\pi\)
\(600\) −2.85040 0.409223i −0.116367 0.0167064i
\(601\) −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
\(603\) 13.5879 + 1.50969i 0.553344 + 0.0614794i
\(604\) 2.95387 + 8.11568i 0.120191 + 0.330222i
\(605\) 7.87294 + 9.38261i 0.320081 + 0.381457i
\(606\) 9.62126 17.9662i 0.390837 0.729828i
\(607\) 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
\(612\) −3.35397 + 2.23345i −0.135576 + 0.0902819i
\(613\) 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
\(615\) 26.8603 10.7597i 1.08311 0.433873i
\(616\) −6.86057 + 3.96095i −0.276420 + 0.159591i
\(617\) −24.5040 4.32072i −0.986495 0.173946i −0.342950 0.939354i \(-0.611426\pi\)
−0.643545 + 0.765408i \(0.722537\pi\)
\(618\) −10.0969 + 9.03718i −0.406156 + 0.363529i
\(619\) −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
\(621\) −17.8967 + 8.53255i −0.718171 + 0.342400i
\(622\) −7.83109 + 21.5157i −0.313998 + 0.862702i
\(623\) −49.5376 + 18.0302i −1.98468 + 0.722366i
\(624\) −7.32305 + 0.233983i −0.293157 + 0.00936683i
\(625\) −5.30472 30.0846i −0.212189 1.20338i
\(626\) 13.4317 0.536841
\(627\) 3.90183 18.4744i 0.155824 0.737796i
\(628\) 3.43500 0.137072
\(629\) −0.957388 5.42961i −0.0381735 0.216493i
\(630\) −14.5347 + 19.7577i −0.579074 + 0.787166i
\(631\) 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
\(633\) −0.910797 4.34834i −0.0362009 0.172831i
\(634\) −10.3856 + 17.9884i −0.412465 + 0.714411i
\(635\) −10.1142 17.5184i −0.401372 0.695196i
\(636\) 4.25955 + 4.75902i 0.168902 + 0.188707i
\(637\) −12.6361 2.22808i −0.500659 0.0882796i
\(638\) −16.4945 + 9.52308i −0.653022 + 0.377022i
\(639\) 26.3246 + 7.71774i 1.04139 + 0.305309i
\(640\) 1.65916 1.97731i 0.0655840 0.0781600i
\(641\) 8.36361 + 3.04411i 0.330343 + 0.120235i 0.501867 0.864945i \(-0.332647\pi\)
−0.171524 + 0.985180i \(0.554869\pi\)
\(642\) 3.05653 9.31295i 0.120631 0.367553i
\(643\) 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 \(0.0494539\pi\)
−0.987955 + 0.154740i \(0.950546\pi\)
\(648\) 5.45643 + 7.15733i 0.214349 + 0.281166i
\(649\) 14.2879 + 17.0277i 0.560850 + 0.668395i
\(650\) 2.40536 + 6.60868i 0.0943461 + 0.259214i
\(651\) 23.0268 + 37.0949i 0.902490 + 1.45386i
\(652\) −5.87262 4.92772i −0.229990 0.192984i
\(653\) 1.40402 + 0.810613i 0.0549437 + 0.0317217i 0.527220 0.849729i \(-0.323234\pi\)
−0.472277 + 0.881450i \(0.656568\pi\)
\(654\) −4.06253 + 28.2972i −0.158857 + 1.10651i
\(655\) 2.01754 11.4420i 0.0788318 0.447077i
\(656\) −1.12387 + 6.37378i −0.0438797 + 0.248854i
\(657\) 4.75046 4.53332i 0.185333 0.176862i
\(658\) −17.1847 9.92160i −0.669930 0.386784i
\(659\) 9.29693 + 7.80105i 0.362157 + 0.303886i 0.805650 0.592392i \(-0.201816\pi\)
−0.443493 + 0.896278i \(0.646261\pi\)
\(660\) 9.49976 5.89700i 0.369778 0.229541i
\(661\) −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
\(663\) 8.67559 + 4.64595i 0.336932 + 0.180434i
\(664\) 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
\(669\) −10.9847 3.60520i −0.424694 0.139385i
\(670\) 11.0536 + 4.02317i 0.427037 + 0.155429i
\(671\) −0.228047 + 0.271776i −0.00880367 + 0.0104918i
\(672\) −2.04012 5.09290i −0.0786992 0.196463i
\(673\) −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
\(675\) 4.89434 7.11870i 0.188383 0.273999i
\(676\) 2.44698 + 4.23829i 0.0941145 + 0.163011i
\(677\) −0.610403 + 1.05725i −0.0234597 + 0.0406334i −0.877517 0.479546i \(-0.840801\pi\)
0.854057 + 0.520179i \(0.174135\pi\)
\(678\) 8.74242 1.83117i 0.335750 0.0703259i
\(679\) −0.592469 + 1.62779i −0.0227369 + 0.0624690i
\(680\) −3.25794 + 1.18579i −0.124936 + 0.0454732i
\(681\) 1.10930 + 34.7181i 0.0425084 + 1.33040i
\(682\) −3.45612 19.6006i −0.132342 0.750547i
\(683\) −40.7336 −1.55863 −0.779313 0.626635i \(-0.784432\pi\)
−0.779313 + 0.626635i \(0.784432\pi\)
\(684\) 12.2806 + 4.49301i 0.469560 + 0.171794i
\(685\) 20.3059 0.775850
\(686\) 2.18186 + 12.3739i 0.0833038 + 0.472439i
\(687\) −0.913051 28.5760i −0.0348351 1.09024i
\(688\) −11.7465 + 4.27537i −0.447830 + 0.162997i
\(689\) 5.33497 14.6577i 0.203246 0.558414i
\(690\) −16.6965 + 3.49723i −0.635625 + 0.133137i
\(691\) 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
\(693\) −1.51716 23.7172i −0.0576320 0.900943i
\(694\) 13.6351 + 2.40423i 0.517580 + 0.0912633i
\(695\) −16.8309 + 9.71733i −0.638433 + 0.368599i
\(696\) −4.90493 12.2446i −0.185921 0.464129i
\(697\) 5.58792 6.65943i 0.211658 0.252244i
\(698\) 19.3873 + 7.05640i 0.733820 + 0.267088i
\(699\) −10.2073 3.35006i −0.386077 0.126711i
\(700\) −4.03414 + 3.38504i −0.152476 + 0.127943i
\(701\) −23.1182 + 4.07636i −0.873162 + 0.153962i −0.592233 0.805767i \(-0.701754\pi\)
−0.280929 + 0.959729i \(0.590642\pi\)
\(702\) 9.11853 19.9997i 0.344157 0.754841i
\(703\) −12.3738 + 12.9232i −0.466687 + 0.487408i
\(704\) 2.50097i 0.0942589i
\(705\) 24.6899 + 13.2219i 0.929877 + 0.497967i
\(706\) 14.6560 + 17.4664i 0.551587 + 0.657356i
\(707\) −12.7474 35.0231i −0.479414 1.31718i
\(708\) −13.0791 + 8.11886i −0.491541 + 0.305126i
\(709\) 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
\(711\) −20.6704 21.6605i −0.775199 0.812330i
\(712\) −2.89001 + 16.3901i −0.108308 + 0.614243i
\(713\) −5.27289 + 29.9041i −0.197471 + 1.11992i
\(714\) −1.04723 + 7.29438i −0.0391916 + 0.272985i
\(715\) −23.6490 13.6538i −0.884423 0.510622i
\(716\) −0.149328 0.125301i −0.00558063 0.00468271i
\(717\) −0.525995 0.847349i −0.0196436 0.0316448i
\(718\) 2.53893 + 6.97566i 0.0947521 + 0.260329i
\(719\) 26.4940 + 31.5743i 0.988060 + 1.17752i 0.984115 + 0.177532i \(0.0568113\pi\)
0.00394505 + 0.999992i \(0.498744\pi\)
\(720\) 3.10758 + 7.09267i 0.115813 + 0.264328i
\(721\) 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
\(726\) 2.56293 7.80900i 0.0951192 0.289819i
\(727\) 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
\(729\) −26.5057 + 5.14278i −0.981692 + 0.190474i
\(730\) 4.89281 2.82486i 0.181091 0.104553i
\(731\) 16.5352 + 2.91561i 0.611578 + 0.107838i
\(732\) −0.163865 0.183079i −0.00605662 0.00676680i
\(733\) 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
\(735\) 2.78011 + 13.2728i 0.102546 + 0.489576i
\(736\) 1.30503 3.58554i 0.0481040 0.132165i
\(737\) −10.7100 + 3.89814i −0.394510 + 0.143590i
\(738\) −15.6402 11.5056i −0.575722 0.423527i
\(739\) −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
\(741\) −4.48572 31.6201i −0.164787 1.16160i
\(742\) 11.6801 0.428791
\(743\) 0.154876 + 0.878343i 0.00568183 + 0.0322233i 0.987517 0.157513i \(-0.0503477\pi\)
−0.981835 + 0.189737i \(0.939237\pi\)
\(744\) 13.7768 0.440192i 0.505083 0.0161382i
\(745\) −33.1925 + 12.0811i −1.21608 + 0.442617i
\(746\) 6.52210 17.9193i 0.238791 0.656073i
\(747\) 38.2804 + 18.9525i 1.40061 + 0.693436i
\(748\) 1.67964 2.90922i 0.0614137 0.106372i
\(749\) −8.96255 15.5236i −0.327484 0.567220i
\(750\) −11.1180 + 9.95110i −0.405970 + 0.363363i
\(751\) −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
\(753\) −9.64468 + 3.86347i −0.351472 + 0.140793i
\(754\) −20.7071 + 24.6778i −0.754108 + 0.898711i
\(755\) −20.9481 7.62450i −0.762381 0.277484i
\(756\) 16.4080 + 1.29416i 0.596753 + 0.0470681i
\(757\) 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 \(-0.857209\pi\)
0.901058 0.433698i \(-0.142791\pi\)
\(762\) −6.40807 + 11.9661i −0.232140 + 0.433485i
\(763\) 33.6048 + 40.0486i 1.21657 + 1.44986i
\(764\) 3.84705 + 10.5697i 0.139181 + 0.382397i
\(765\) 1.14855 10.3375i 0.0415259 0.373753i
\(766\) −4.60213 3.86165i −0.166282 0.139527i
\(767\) 32.5594 + 18.7982i 1.17565 + 0.678764i
\(768\) −1.71447 0.246141i −0.0618657 0.00888184i
\(769\) −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
\(771\) 31.9048 + 4.58047i 1.14902 + 0.164961i