Properties

Label 114.2.l.b.89.1
Level $114$
Weight $2$
Character 114.89
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 89.1
Root \(1.40849 - 1.00804i\) of defining polynomial
Character \(\chi\) \(=\) 114.89
Dual form 114.2.l.b.41.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.766044 - 0.642788i) q^{2} +(-0.748148 - 1.56214i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.262261 + 0.0462437i) q^{5} +(-1.57724 - 0.715766i) q^{6} +(0.604656 - 1.04730i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.88055 + 2.33742i) q^{9} +O(q^{10})\) \(q+(0.766044 - 0.642788i) q^{2} +(-0.748148 - 1.56214i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.262261 + 0.0462437i) q^{5} +(-1.57724 - 0.715766i) q^{6} +(0.604656 - 1.04730i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.88055 + 2.33742i) q^{9} +(-0.171179 + 0.204003i) q^{10} +(2.03630 - 1.17566i) q^{11} +(-1.66832 + 0.465520i) q^{12} +(1.01749 + 2.79553i) q^{13} +(-0.209995 - 1.19094i) q^{14} +(0.268449 + 0.375091i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(0.576470 + 0.687011i) q^{17} +(0.0618817 + 2.99936i) q^{18} +(1.97979 + 3.88335i) q^{19} +0.266307i q^{20} +(-2.08839 - 0.161024i) q^{21} +(0.804198 - 2.20952i) q^{22} +(5.53770 + 0.976446i) q^{23} +(-0.978777 + 1.42898i) q^{24} +(-4.63182 + 1.68584i) q^{25} +(2.57637 + 1.48747i) q^{26} +(5.05830 + 1.18894i) q^{27} +(-0.926387 - 0.777331i) q^{28} +(1.92487 + 1.61516i) q^{29} +(0.446748 + 0.114780i) q^{30} +(-8.98131 - 5.18536i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(-3.36000 - 2.30141i) q^{33} +(0.883204 + 0.155733i) q^{34} +(-0.110147 + 0.302626i) q^{35} +(1.97536 + 2.25787i) q^{36} +3.95916i q^{37} +(4.01278 + 1.70224i) q^{38} +(3.60577 - 3.68093i) q^{39} +(0.171179 + 0.204003i) q^{40} +(-10.4227 - 3.79356i) q^{41} +(-1.70331 + 1.21904i) q^{42} +(-0.834031 - 4.73003i) q^{43} +(-0.804198 - 2.20952i) q^{44} +(0.385104 - 0.699978i) q^{45} +(4.86977 - 2.81156i) q^{46} +(1.24341 - 1.48183i) q^{47} +(0.168747 + 1.72381i) q^{48} +(2.76878 + 4.79567i) q^{49} +(-2.46454 + 4.26871i) q^{50} +(0.641920 - 1.41451i) q^{51} +(2.92974 - 0.516593i) q^{52} +(0.998339 - 5.66186i) q^{53} +(4.63912 - 2.34063i) q^{54} +(-0.479676 + 0.402496i) q^{55} -1.20931 q^{56} +(4.58516 - 5.99803i) q^{57} +2.51274 q^{58} +(-9.78136 + 8.20754i) q^{59} +(0.416008 - 0.199237i) q^{60} +(-0.153642 + 0.871345i) q^{61} +(-10.2132 + 1.80086i) q^{62} +(1.31088 + 3.38283i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.396123 - 0.686106i) q^{65} +(-4.05323 + 0.396777i) q^{66} +(3.28864 - 3.91925i) q^{67} +(0.776676 - 0.448414i) q^{68} +(-2.61768 - 9.38117i) q^{69} +(0.110147 + 0.302626i) q^{70} +(-1.64669 - 9.33885i) q^{71} +(2.96454 + 0.459892i) q^{72} +(0.320853 + 0.116781i) q^{73} +(2.54490 + 3.03289i) q^{74} +(6.09881 + 5.97428i) q^{75} +(4.16814 - 1.27537i) q^{76} -2.84348i q^{77} +(0.396123 - 5.13750i) q^{78} +(2.33914 - 6.42674i) q^{79} +(0.262261 + 0.0462437i) q^{80} +(-1.92708 - 8.79127i) q^{81} +(-10.4227 + 3.79356i) q^{82} +(12.2240 + 7.05752i) q^{83} +(-0.521223 + 2.02870i) q^{84} +(-0.182956 - 0.153518i) q^{85} +(-3.67931 - 3.08731i) q^{86} +(1.08301 - 4.21529i) q^{87} +(-2.03630 - 1.17566i) q^{88} +(-11.5580 + 4.20677i) q^{89} +(-0.154931 - 0.783754i) q^{90} +(3.54297 + 0.624722i) q^{91} +(1.92322 - 5.28401i) q^{92} +(-1.38090 + 17.9095i) q^{93} -1.93440i q^{94} +(-0.698802 - 0.926900i) q^{95} +(1.23731 + 1.21205i) q^{96} +(3.88456 + 4.62944i) q^{97} +(5.20361 + 1.89396i) q^{98} +(-1.08135 + 6.97057i) 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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 0.642788i 0.541675 0.454519i
\(3\) −0.748148 1.56214i −0.431944 0.901901i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) −0.262261 + 0.0462437i −0.117287 + 0.0206808i −0.231983 0.972720i \(-0.574522\pi\)
0.114697 + 0.993401i \(0.463410\pi\)
\(6\) −1.57724 0.715766i −0.643905 0.292210i
\(7\) 0.604656 1.04730i 0.228539 0.395840i −0.728837 0.684688i \(-0.759939\pi\)
0.957375 + 0.288847i \(0.0932720\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −1.88055 + 2.33742i −0.626849 + 0.779140i
\(10\) −0.171179 + 0.204003i −0.0541315 + 0.0645114i
\(11\) 2.03630 1.17566i 0.613968 0.354474i −0.160549 0.987028i \(-0.551326\pi\)
0.774517 + 0.632553i \(0.217993\pi\)
\(12\) −1.66832 + 0.465520i −0.481602 + 0.134384i
\(13\) 1.01749 + 2.79553i 0.282201 + 0.775340i 0.997099 + 0.0761119i \(0.0242506\pi\)
−0.714899 + 0.699228i \(0.753527\pi\)
\(14\) −0.209995 1.19094i −0.0561235 0.318292i
\(15\) 0.268449 + 0.375091i 0.0693133 + 0.0968480i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 0.576470 + 0.687011i 0.139815 + 0.166625i 0.831408 0.555663i \(-0.187535\pi\)
−0.691593 + 0.722287i \(0.743091\pi\)
\(18\) 0.0618817 + 2.99936i 0.0145857 + 0.706956i
\(19\) 1.97979 + 3.88335i 0.454194 + 0.890903i
\(20\) 0.266307i 0.0595480i
\(21\) −2.08839 0.161024i −0.455724 0.0351383i
\(22\) 0.804198 2.20952i 0.171456 0.471070i
\(23\) 5.53770 + 0.976446i 1.15469 + 0.203603i 0.718022 0.696020i \(-0.245048\pi\)
0.436668 + 0.899623i \(0.356159\pi\)
\(24\) −0.978777 + 1.42898i −0.199792 + 0.291690i
\(25\) −4.63182 + 1.68584i −0.926364 + 0.337169i
\(26\) 2.57637 + 1.48747i 0.505268 + 0.291717i
\(27\) 5.05830 + 1.18894i 0.973471 + 0.228811i
\(28\) −0.926387 0.777331i −0.175071 0.146902i
\(29\) 1.92487 + 1.61516i 0.357440 + 0.299928i 0.803769 0.594941i \(-0.202825\pi\)
−0.446329 + 0.894869i \(0.647269\pi\)
\(30\) 0.446748 + 0.114780i 0.0815646 + 0.0209559i
\(31\) −8.98131 5.18536i −1.61309 0.931319i −0.988648 0.150249i \(-0.951993\pi\)
−0.624443 0.781070i \(-0.714674\pi\)
\(32\) −0.939693 + 0.342020i −0.166116 + 0.0604612i
\(33\) −3.36000 2.30141i −0.584900 0.400625i
\(34\) 0.883204 + 0.155733i 0.151468 + 0.0267079i
\(35\) −0.110147 + 0.302626i −0.0186182 + 0.0511532i
\(36\) 1.97536 + 2.25787i 0.329226 + 0.376311i
\(37\) 3.95916i 0.650882i 0.945562 + 0.325441i \(0.105513\pi\)
−0.945562 + 0.325441i \(0.894487\pi\)
\(38\) 4.01278 + 1.70224i 0.650958 + 0.276140i
\(39\) 3.60577 3.68093i 0.577385 0.589420i
\(40\) 0.171179 + 0.204003i 0.0270657 + 0.0322557i
\(41\) −10.4227 3.79356i −1.62776 0.592455i −0.642920 0.765934i \(-0.722277\pi\)
−0.984838 + 0.173479i \(0.944499\pi\)
\(42\) −1.70331 + 1.21904i −0.262826 + 0.188102i
\(43\) −0.834031 4.73003i −0.127189 0.721322i −0.979984 0.199077i \(-0.936206\pi\)
0.852795 0.522245i \(-0.174905\pi\)
\(44\) −0.804198 2.20952i −0.121237 0.333097i
\(45\) 0.385104 0.699978i 0.0574079 0.104347i
\(46\) 4.86977 2.81156i 0.718008 0.414542i
\(47\) 1.24341 1.48183i 0.181369 0.216147i −0.667698 0.744432i \(-0.732720\pi\)
0.849067 + 0.528285i \(0.177165\pi\)
\(48\) 0.168747 + 1.72381i 0.0243565 + 0.248811i
\(49\) 2.76878 + 4.79567i 0.395540 + 0.685096i
\(50\) −2.46454 + 4.26871i −0.348539 + 0.603687i
\(51\) 0.641920 1.41451i 0.0898868 0.198071i
\(52\) 2.92974 0.516593i 0.406282 0.0716385i
\(53\) 0.998339 5.66186i 0.137132 0.777717i −0.836219 0.548396i \(-0.815239\pi\)
0.973351 0.229320i \(-0.0736504\pi\)
\(54\) 4.63912 2.34063i 0.631304 0.318520i
\(55\) −0.479676 + 0.402496i −0.0646794 + 0.0542725i
\(56\) −1.20931 −0.161601
\(57\) 4.58516 5.99803i 0.607319 0.794458i
\(58\) 2.51274 0.329939
\(59\) −9.78136 + 8.20754i −1.27342 + 1.06853i −0.279310 + 0.960201i \(0.590106\pi\)
−0.994115 + 0.108329i \(0.965450\pi\)
\(60\) 0.416008 0.199237i 0.0537064 0.0257214i
\(61\) −0.153642 + 0.871345i −0.0196718 + 0.111564i −0.993063 0.117587i \(-0.962484\pi\)
0.973391 + 0.229152i \(0.0735951\pi\)
\(62\) −10.2132 + 1.80086i −1.29707 + 0.228709i
\(63\) 1.31088 + 3.38283i 0.165156 + 0.426196i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −0.396123 0.686106i −0.0491331 0.0851010i
\(66\) −4.05323 + 0.396777i −0.498918 + 0.0488399i
\(67\) 3.28864 3.91925i 0.401771 0.478812i −0.526788 0.849997i \(-0.676604\pi\)
0.928559 + 0.371184i \(0.121048\pi\)
\(68\) 0.776676 0.448414i 0.0941859 0.0543782i
\(69\) −2.61768 9.38117i −0.315131 1.12936i
\(70\) 0.110147 + 0.302626i 0.0131651 + 0.0361708i
\(71\) −1.64669 9.33885i −0.195426 1.10832i −0.911810 0.410612i \(-0.865315\pi\)
0.716384 0.697706i \(-0.245796\pi\)
\(72\) 2.96454 + 0.459892i 0.349374 + 0.0541988i
\(73\) 0.320853 + 0.116781i 0.0375530 + 0.0136682i 0.360728 0.932671i \(-0.382528\pi\)
−0.323175 + 0.946339i \(0.604750\pi\)
\(74\) 2.54490 + 3.03289i 0.295838 + 0.352566i
\(75\) 6.09881 + 5.97428i 0.704230 + 0.689850i
\(76\) 4.16814 1.27537i 0.478119 0.146295i
\(77\) 2.84348i 0.324044i
\(78\) 0.396123 5.13750i 0.0448522 0.581707i
\(79\) 2.33914 6.42674i 0.263174 0.723064i −0.735775 0.677226i \(-0.763182\pi\)
0.998949 0.0458383i \(-0.0145959\pi\)
\(80\) 0.262261 + 0.0462437i 0.0293217 + 0.00517020i
\(81\) −1.92708 8.79127i −0.214120 0.976807i
\(82\) −10.4227 + 3.79356i −1.15100 + 0.418929i
\(83\) 12.2240 + 7.05752i 1.34176 + 0.774663i 0.987065 0.160320i \(-0.0512527\pi\)
0.354691 + 0.934984i \(0.384586\pi\)
\(84\) −0.521223 + 2.02870i −0.0568701 + 0.221350i
\(85\) −0.182956 0.153518i −0.0198443 0.0166514i
\(86\) −3.67931 3.08731i −0.396750 0.332913i
\(87\) 1.08301 4.21529i 0.116111 0.451927i
\(88\) −2.03630 1.17566i −0.217070 0.125326i
\(89\) −11.5580 + 4.20677i −1.22515 + 0.445917i −0.871933 0.489626i \(-0.837133\pi\)
−0.353213 + 0.935543i \(0.614911\pi\)
\(90\) −0.154931 0.783754i −0.0163311 0.0826150i
\(91\) 3.54297 + 0.624722i 0.371405 + 0.0654887i
\(92\) 1.92322 5.28401i 0.200510 0.550896i
\(93\) −1.38090 + 17.9095i −0.143192 + 1.85713i
\(94\) 1.93440i 0.199518i
\(95\) −0.698802 0.926900i −0.0716956 0.0950979i
\(96\) 1.23731 + 1.21205i 0.126283 + 0.123704i
\(97\) 3.88456 + 4.62944i 0.394418 + 0.470049i 0.926309 0.376764i \(-0.122963\pi\)
−0.531892 + 0.846812i \(0.678519\pi\)
\(98\) 5.20361 + 1.89396i 0.525644 + 0.191319i
\(99\) −1.08135 + 6.97057i −0.108680 + 0.700569i
\(100\) 0.855926 + 4.85420i 0.0855926 + 0.485420i
\(101\) 3.54557 + 9.74137i 0.352797 + 0.969302i 0.981467 + 0.191630i \(0.0613774\pi\)
−0.628670 + 0.777672i \(0.716400\pi\)
\(102\) −0.417492 1.49620i −0.0413378 0.148146i
\(103\) −12.7994 + 7.38973i −1.26116 + 0.728131i −0.973299 0.229541i \(-0.926278\pi\)
−0.287861 + 0.957672i \(0.592944\pi\)
\(104\) 1.91225 2.27894i 0.187512 0.223468i
\(105\) 0.555150 0.0543446i 0.0541771 0.00530349i
\(106\) −2.87460 4.97896i −0.279206 0.483599i
\(107\) −8.08439 + 14.0026i −0.781547 + 1.35368i 0.149493 + 0.988763i \(0.452236\pi\)
−0.931040 + 0.364917i \(0.881097\pi\)
\(108\) 2.04924 4.77500i 0.197188 0.459474i
\(109\) 17.9876 3.17170i 1.72290 0.303794i 0.777302 0.629128i \(-0.216588\pi\)
0.945599 + 0.325334i \(0.105477\pi\)
\(110\) −0.108734 + 0.616659i −0.0103673 + 0.0587961i
\(111\) 6.18475 2.96204i 0.587030 0.281144i
\(112\) −0.926387 + 0.777331i −0.0875353 + 0.0734509i
\(113\) 2.40020 0.225792 0.112896 0.993607i \(-0.463987\pi\)
0.112896 + 0.993607i \(0.463987\pi\)
\(114\) −0.343020 7.54204i −0.0321268 0.706377i
\(115\) −1.49748 −0.139640
\(116\) 1.92487 1.61516i 0.178720 0.149964i
\(117\) −8.44777 2.87883i −0.780996 0.266148i
\(118\) −2.21725 + 12.5747i −0.204115 + 1.15759i
\(119\) 1.06807 0.188329i 0.0979098 0.0172641i
\(120\) 0.190614 0.420029i 0.0174006 0.0383433i
\(121\) −2.73565 + 4.73829i −0.248696 + 0.430754i
\(122\) 0.442393 + 0.766248i 0.0400524 + 0.0693728i
\(123\) 1.87168 + 19.1199i 0.168764 + 1.72398i
\(124\) −6.66618 + 7.94444i −0.598640 + 0.713432i
\(125\) 2.28993 1.32209i 0.204818 0.118251i
\(126\) 3.17863 + 1.74877i 0.283175 + 0.155793i
\(127\) −2.02408 5.56112i −0.179608 0.493470i 0.816918 0.576754i \(-0.195681\pi\)
−0.996526 + 0.0832849i \(0.973459\pi\)
\(128\) 0.173648 + 0.984808i 0.0153485 + 0.0870455i
\(129\) −6.76497 + 4.84163i −0.595623 + 0.426282i
\(130\) −0.744469 0.270964i −0.0652942 0.0237652i
\(131\) −11.1080 13.2379i −0.970506 1.15660i −0.987638 0.156751i \(-0.949898\pi\)
0.0171319 0.999853i \(-0.494546\pi\)
\(132\) −2.84991 + 2.90931i −0.248053 + 0.253223i
\(133\) 5.26411 + 0.274672i 0.456456 + 0.0238171i
\(134\) 5.11622i 0.441974i
\(135\) −1.38158 0.0778975i −0.118907 0.00670435i
\(136\) 0.306733 0.842743i 0.0263022 0.0722646i
\(137\) 18.0150 + 3.17653i 1.53912 + 0.271389i 0.877917 0.478813i \(-0.158933\pi\)
0.661208 + 0.750203i \(0.270044\pi\)
\(138\) −8.03536 5.50379i −0.684015 0.468513i
\(139\) −2.16057 + 0.786381i −0.183257 + 0.0667000i −0.432019 0.901865i \(-0.642199\pi\)
0.248762 + 0.968565i \(0.419976\pi\)
\(140\) 0.278902 + 0.161024i 0.0235715 + 0.0136090i
\(141\) −3.24508 0.833740i −0.273285 0.0702135i
\(142\) −7.26434 6.09550i −0.609610 0.511523i
\(143\) 5.35850 + 4.49632i 0.448100 + 0.376001i
\(144\) 2.56658 1.55327i 0.213882 0.129439i
\(145\) −0.579510 0.334580i −0.0481257 0.0277854i
\(146\) 0.320853 0.116781i 0.0265540 0.00966485i
\(147\) 5.42004 7.91309i 0.447037 0.652661i
\(148\) 3.89901 + 0.687501i 0.320497 + 0.0565122i
\(149\) −2.67853 + 7.35921i −0.219434 + 0.602890i −0.999747 0.0224995i \(-0.992838\pi\)
0.780313 + 0.625389i \(0.215060\pi\)
\(150\) 8.51215 + 0.656324i 0.695014 + 0.0535886i
\(151\) 11.1343i 0.906098i −0.891486 0.453049i \(-0.850336\pi\)
0.891486 0.453049i \(-0.149664\pi\)
\(152\) 2.37319 3.65622i 0.192491 0.296559i
\(153\) −2.68991 + 0.0554973i −0.217467 + 0.00448669i
\(154\) −1.82775 2.17823i −0.147284 0.175527i
\(155\) 2.59524 + 0.944590i 0.208455 + 0.0758713i
\(156\) −2.99887 4.19017i −0.240102 0.335482i
\(157\) −3.68519 20.8997i −0.294110 1.66798i −0.670798 0.741640i \(-0.734048\pi\)
0.376688 0.926340i \(-0.377063\pi\)
\(158\) −2.33914 6.42674i −0.186092 0.511284i
\(159\) −9.59152 + 2.67637i −0.760657 + 0.212250i
\(160\) 0.230629 0.133153i 0.0182328 0.0105267i
\(161\) 4.37103 5.20919i 0.344485 0.410542i
\(162\) −7.12714 5.49580i −0.559961 0.431791i
\(163\) 1.74061 + 3.01482i 0.136335 + 0.236139i 0.926107 0.377262i \(-0.123134\pi\)
−0.789772 + 0.613401i \(0.789801\pi\)
\(164\) −5.54582 + 9.60564i −0.433056 + 0.750075i
\(165\) 0.987622 + 0.448193i 0.0768863 + 0.0348918i
\(166\) 13.9006 2.45105i 1.07890 0.190238i
\(167\) 3.56671 20.2278i 0.276000 1.56527i −0.459767 0.888040i \(-0.652067\pi\)
0.735767 0.677235i \(-0.236822\pi\)
\(168\) 0.904745 + 1.88911i 0.0698026 + 0.145748i
\(169\) 3.17888 2.66740i 0.244529 0.205185i
\(170\) −0.238832 −0.0183176
\(171\) −12.8001 2.67524i −0.978850 0.204581i
\(172\) −4.80300 −0.366225
\(173\) 6.38346 5.35636i 0.485326 0.407237i −0.367022 0.930212i \(-0.619623\pi\)
0.852348 + 0.522976i \(0.175178\pi\)
\(174\) −1.87990 3.92525i −0.142515 0.297572i
\(175\) −1.03508 + 5.87024i −0.0782448 + 0.443748i
\(176\) −2.31560 + 0.408302i −0.174545 + 0.0307769i
\(177\) 20.1392 + 9.13938i 1.51376 + 0.686958i
\(178\) −6.14989 + 10.6519i −0.460953 + 0.798395i
\(179\) −4.51280 7.81640i −0.337302 0.584225i 0.646622 0.762811i \(-0.276181\pi\)
−0.983924 + 0.178586i \(0.942848\pi\)
\(180\) −0.622471 0.500803i −0.0463963 0.0373277i
\(181\) 5.90976 7.04297i 0.439269 0.523500i −0.500304 0.865850i \(-0.666778\pi\)
0.939573 + 0.342350i \(0.111223\pi\)
\(182\) 3.11564 1.79882i 0.230947 0.133337i
\(183\) 1.47611 0.411886i 0.109117 0.0304475i
\(184\) −1.92322 5.28401i −0.141782 0.389542i
\(185\) −0.183086 1.03833i −0.0134608 0.0763398i
\(186\) 10.4542 + 14.6071i 0.766536 + 1.07104i
\(187\) 1.98156 + 0.721228i 0.144906 + 0.0527414i
\(188\) −1.24341 1.48183i −0.0906846 0.108074i
\(189\) 4.30370 4.57864i 0.313048 0.333047i
\(190\) −1.13111 0.260865i −0.0820596 0.0189252i
\(191\) 7.33252i 0.530562i −0.964171 0.265281i \(-0.914535\pi\)
0.964171 0.265281i \(-0.0854648\pi\)
\(192\) 1.72693 + 0.133153i 0.124630 + 0.00960952i
\(193\) 0.613121 1.68453i 0.0441334 0.121255i −0.915668 0.401935i \(-0.868338\pi\)
0.959801 + 0.280680i \(0.0905599\pi\)
\(194\) 5.95150 + 1.04941i 0.427293 + 0.0753432i
\(195\) −0.775433 + 1.13211i −0.0555299 + 0.0810720i
\(196\) 5.20361 1.89396i 0.371686 0.135283i
\(197\) −6.85271 3.95642i −0.488236 0.281883i 0.235607 0.971849i \(-0.424292\pi\)
−0.723842 + 0.689966i \(0.757626\pi\)
\(198\) 3.65224 + 6.03485i 0.259553 + 0.428878i
\(199\) −8.01318 6.72386i −0.568039 0.476642i 0.312955 0.949768i \(-0.398681\pi\)
−0.880995 + 0.473126i \(0.843125\pi\)
\(200\) 3.77589 + 3.16835i 0.266996 + 0.224036i
\(201\) −8.58280 2.20513i −0.605384 0.155538i
\(202\) 8.97769 + 5.18327i 0.631668 + 0.364694i
\(203\) 2.85543 1.03929i 0.200412 0.0729441i
\(204\) −1.28155 0.877795i −0.0897267 0.0614580i
\(205\) 2.90891 + 0.512919i 0.203167 + 0.0358238i
\(206\) −5.05487 + 13.8881i −0.352189 + 0.967633i
\(207\) −12.6963 + 11.1077i −0.882452 + 0.772037i
\(208\) 2.97494i 0.206275i
\(209\) 8.59694 + 5.58012i 0.594663 + 0.385985i
\(210\) 0.390338 0.398474i 0.0269359 0.0274973i
\(211\) 8.93046 + 10.6429i 0.614799 + 0.732688i 0.980167 0.198175i \(-0.0635013\pi\)
−0.365368 + 0.930863i \(0.619057\pi\)
\(212\) −5.40249 1.96634i −0.371044 0.135049i
\(213\) −13.3566 + 9.55921i −0.915180 + 0.654986i
\(214\) 2.80768 + 15.9231i 0.191929 + 1.08848i
\(215\) 0.437468 + 1.20193i 0.0298351 + 0.0819712i
\(216\) −1.49950 4.97509i −0.102028 0.338512i
\(217\) −10.8612 + 6.27072i −0.737307 + 0.425684i
\(218\) 11.7406 13.9919i 0.795172 0.947650i
\(219\) −0.0576176 0.588585i −0.00389344 0.0397729i
\(220\) 0.313086 + 0.542281i 0.0211083 + 0.0365606i
\(221\) −1.33401 + 2.31057i −0.0897349 + 0.155425i
\(222\) 2.83383 6.24453i 0.190194 0.419106i
\(223\) −12.2714 + 2.16379i −0.821757 + 0.144898i −0.568691 0.822551i \(-0.692550\pi\)
−0.253066 + 0.967449i \(0.581439\pi\)
\(224\) −0.209995 + 1.19094i −0.0140309 + 0.0795730i
\(225\) 4.76983 13.9968i 0.317989 0.933122i
\(226\) 1.83866 1.54282i 0.122306 0.102627i
\(227\) 1.63948 0.108816 0.0544081 0.998519i \(-0.482673\pi\)
0.0544081 + 0.998519i \(0.482673\pi\)
\(228\) −5.11070 5.55705i −0.338464 0.368024i
\(229\) −12.1547 −0.803204 −0.401602 0.915814i \(-0.631546\pi\)
−0.401602 + 0.915814i \(0.631546\pi\)
\(230\) −1.14713 + 0.962560i −0.0756398 + 0.0634693i
\(231\) −4.44190 + 2.12734i −0.292256 + 0.139969i
\(232\) 0.436333 2.47457i 0.0286467 0.162463i
\(233\) 2.37239 0.418316i 0.155420 0.0274048i −0.0953966 0.995439i \(-0.530412\pi\)
0.250817 + 0.968035i \(0.419301\pi\)
\(234\) −8.32184 + 3.22481i −0.544016 + 0.210812i
\(235\) −0.257571 + 0.446127i −0.0168021 + 0.0291021i
\(236\) 6.38433 + 11.0580i 0.415585 + 0.719814i
\(237\) −11.7895 + 1.15409i −0.765809 + 0.0749663i
\(238\) 0.697133 0.830810i 0.0451884 0.0538534i
\(239\) −16.5806 + 9.57284i −1.07251 + 0.619215i −0.928867 0.370414i \(-0.879216\pi\)
−0.143646 + 0.989629i \(0.545883\pi\)
\(240\) −0.123971 0.444285i −0.00800230 0.0286785i
\(241\) 1.43503 + 3.94271i 0.0924383 + 0.253972i 0.977292 0.211897i \(-0.0679641\pi\)
−0.884854 + 0.465869i \(0.845742\pi\)
\(242\) 0.950083 + 5.38819i 0.0610736 + 0.346366i
\(243\) −12.2914 + 9.58753i −0.788496 + 0.615040i
\(244\) 0.831427 + 0.302615i 0.0532267 + 0.0193729i
\(245\) −0.947913 1.12968i −0.0605600 0.0721726i
\(246\) 13.7238 + 13.4436i 0.874999 + 0.857132i
\(247\) −8.84162 + 9.48582i −0.562579 + 0.603568i
\(248\) 10.3707i 0.658542i
\(249\) 1.87947 24.3756i 0.119106 1.54474i
\(250\) 0.904364 2.48472i 0.0571970 0.157147i
\(251\) 4.15098 + 0.731929i 0.262007 + 0.0461990i 0.303109 0.952956i \(-0.401976\pi\)
−0.0411012 + 0.999155i \(0.513087\pi\)
\(252\) 3.55907 0.703548i 0.224200 0.0443194i
\(253\) 12.4244 4.52211i 0.781114 0.284302i
\(254\) −5.12516 2.95901i −0.321581 0.185665i
\(255\) −0.102938 + 0.400656i −0.00644625 + 0.0250901i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 13.6150 + 11.4244i 0.849282 + 0.712632i 0.959631 0.281260i \(-0.0907525\pi\)
−0.110349 + 0.993893i \(0.535197\pi\)
\(258\) −2.07013 + 8.05735i −0.128881 + 0.501629i
\(259\) 4.14641 + 2.39393i 0.257645 + 0.148752i
\(260\) −0.744469 + 0.270964i −0.0461700 + 0.0168045i
\(261\) −7.39512 + 1.46185i −0.457747 + 0.0904863i
\(262\) −17.0184 3.00080i −1.05140 0.185390i
\(263\) 0.383160 1.05272i 0.0236267 0.0649138i −0.927319 0.374273i \(-0.877892\pi\)
0.950945 + 0.309359i \(0.100115\pi\)
\(264\) −0.313086 + 4.06055i −0.0192691 + 0.249909i
\(265\) 1.53105i 0.0940519i
\(266\) 4.20910 3.17329i 0.258076 0.194567i
\(267\) 15.2187 + 14.9079i 0.931366 + 0.912349i
\(268\) −3.28864 3.91925i −0.200886 0.239406i
\(269\) 18.2909 + 6.65734i 1.11522 + 0.405905i 0.832904 0.553418i \(-0.186677\pi\)
0.282311 + 0.959323i \(0.408899\pi\)
\(270\) −1.10842 + 0.828388i −0.0674564 + 0.0504141i
\(271\) −0.0552285 0.313217i −0.00335489 0.0190266i 0.983084 0.183153i \(-0.0586305\pi\)
−0.986439 + 0.164127i \(0.947519\pi\)
\(272\) −0.306733 0.842743i −0.0185984 0.0510988i
\(273\) −1.67477 6.00200i −0.101362 0.363257i
\(274\) 15.8421 9.14645i 0.957057 0.552557i
\(275\) −7.44980 + 8.87833i −0.449240 + 0.535383i
\(276\) −9.69321 + 0.948885i −0.583463 + 0.0571162i
\(277\) 10.9678 + 18.9968i 0.658993 + 1.14141i 0.980877 + 0.194630i \(0.0623506\pi\)
−0.321884 + 0.946779i \(0.604316\pi\)
\(278\) −1.14961 + 1.99119i −0.0689492 + 0.119424i
\(279\) 29.0102 11.2418i 1.73679 0.673028i
\(280\) 0.317156 0.0559231i 0.0189537 0.00334204i
\(281\) 2.62001 14.8588i 0.156297 0.886403i −0.801294 0.598271i \(-0.795855\pi\)
0.957591 0.288132i \(-0.0930342\pi\)
\(282\) −3.02179 + 1.44721i −0.179945 + 0.0861804i
\(283\) −5.08697 + 4.26848i −0.302389 + 0.253735i −0.781338 0.624108i \(-0.785462\pi\)
0.478949 + 0.877843i \(0.341018\pi\)
\(284\) −9.48292 −0.562708
\(285\) −0.925138 + 1.78508i −0.0548005 + 0.105739i
\(286\) 6.99503 0.413625
\(287\) −10.2751 + 8.62187i −0.606523 + 0.508933i
\(288\) 0.967692 2.83964i 0.0570218 0.167328i
\(289\) 2.81235 15.9496i 0.165433 0.938215i
\(290\) −0.658995 + 0.116199i −0.0386975 + 0.00682341i
\(291\) 4.32560 9.53173i 0.253571 0.558760i
\(292\) 0.170722 0.295699i 0.00999076 0.0173045i
\(293\) −14.2028 24.5999i −0.829735 1.43714i −0.898246 0.439493i \(-0.855158\pi\)
0.0685112 0.997650i \(-0.478175\pi\)
\(294\) −0.934446 9.54571i −0.0544980 0.556717i
\(295\) 2.18572 2.60484i 0.127258 0.151660i
\(296\) 3.42873 1.97958i 0.199291 0.115061i
\(297\) 11.6980 3.52580i 0.678787 0.204588i
\(298\) 2.67853 + 7.35921i 0.155163 + 0.426307i
\(299\) 2.90487 + 16.4743i 0.167993 + 0.952734i
\(300\) 6.94256 4.96873i 0.400829 0.286870i
\(301\) −5.45804 1.98656i −0.314596 0.114504i
\(302\) −7.15700 8.52938i −0.411839 0.490811i
\(303\) 12.5647 12.8266i 0.721826 0.736872i
\(304\) −0.532206 4.32629i −0.0305241 0.248130i
\(305\) 0.235625i 0.0134918i
\(306\) −2.02492 + 1.77156i −0.115757 + 0.101273i
\(307\) 1.49097 4.09641i 0.0850942 0.233794i −0.889846 0.456261i \(-0.849188\pi\)
0.974940 + 0.222466i \(0.0714107\pi\)
\(308\) −2.80028 0.493765i −0.159561 0.0281348i
\(309\) 21.1196 + 14.4658i 1.20145 + 0.822930i
\(310\) 2.59524 0.944590i 0.147400 0.0536491i
\(311\) 4.11082 + 2.37338i 0.233103 + 0.134582i 0.612003 0.790856i \(-0.290364\pi\)
−0.378900 + 0.925438i \(0.623697\pi\)
\(312\) −4.99066 1.28222i −0.282541 0.0725916i
\(313\) 14.5023 + 12.1689i 0.819718 + 0.687825i 0.952906 0.303265i \(-0.0980769\pi\)
−0.133188 + 0.991091i \(0.542521\pi\)
\(314\) −16.2571 13.6413i −0.917442 0.769825i
\(315\) −0.500228 0.826563i −0.0281847 0.0465716i
\(316\) −5.92291 3.41960i −0.333190 0.192367i
\(317\) −29.4488 + 10.7185i −1.65401 + 0.602010i −0.989404 0.145186i \(-0.953622\pi\)
−0.664604 + 0.747196i \(0.731400\pi\)
\(318\) −5.62719 + 8.21553i −0.315557 + 0.460704i
\(319\) 5.81850 + 1.02596i 0.325773 + 0.0574426i
\(320\) 0.0910823 0.250247i 0.00509166 0.0139892i
\(321\) 27.9223 + 2.15293i 1.55847 + 0.120165i
\(322\) 6.80012i 0.378956i
\(323\) −1.52662 + 3.59877i −0.0849432 + 0.200241i
\(324\) −8.99234 + 0.371211i −0.499575 + 0.0206229i
\(325\) −9.42565 11.2331i −0.522841 0.623098i
\(326\) 3.27128 + 1.19065i 0.181179 + 0.0659438i
\(327\) −18.4120 25.7262i −1.01819 1.42266i
\(328\) 1.92604 + 10.9231i 0.106348 + 0.603129i
\(329\) −0.800083 2.19821i −0.0441100 0.121191i
\(330\) 1.04466 0.291495i 0.0575064 0.0160463i
\(331\) −3.20610 + 1.85104i −0.176223 + 0.101742i −0.585517 0.810660i \(-0.699108\pi\)
0.409294 + 0.912403i \(0.365775\pi\)
\(332\) 9.07297 10.8127i 0.497944 0.593426i
\(333\) −9.25422 7.44539i −0.507128 0.408005i
\(334\) −10.2699 17.7880i −0.561945 0.973318i
\(335\) −0.681242 + 1.17995i −0.0372202 + 0.0644673i
\(336\) 1.90737 + 0.865585i 0.104056 + 0.0472215i
\(337\) −19.7344 + 3.47971i −1.07500 + 0.189552i −0.683004 0.730415i \(-0.739327\pi\)
−0.391997 + 0.919967i \(0.628216\pi\)
\(338\) 0.720594 4.08669i 0.0391952 0.222287i
\(339\) −1.79570 3.74944i −0.0975292 0.203642i
\(340\) −0.182956 + 0.153518i −0.00992217 + 0.00832569i
\(341\) −24.3849 −1.32051
\(342\) −11.5251 + 6.17841i −0.623205 + 0.334090i
\(343\) 15.1618 0.818662
\(344\) −3.67931 + 3.08731i −0.198375 + 0.166456i
\(345\) 1.12034 + 2.33927i 0.0603168 + 0.125942i
\(346\) 1.44701 8.20642i 0.0777919 0.441180i
\(347\) 0.281016 0.0495507i 0.0150857 0.00266002i −0.166100 0.986109i \(-0.553118\pi\)
0.181186 + 0.983449i \(0.442006\pi\)
\(348\) −3.96319 1.79854i −0.212449 0.0964117i
\(349\) 6.98873 12.1048i 0.374098 0.647957i −0.616093 0.787673i \(-0.711286\pi\)
0.990192 + 0.139716i \(0.0446190\pi\)
\(350\) 2.98040 + 5.16220i 0.159309 + 0.275931i
\(351\) 1.82306 + 15.3504i 0.0973077 + 0.819342i
\(352\) −1.51140 + 1.80121i −0.0805578 + 0.0960050i
\(353\) −17.7647 + 10.2564i −0.945519 + 0.545895i −0.891686 0.452654i \(-0.850477\pi\)
−0.0538327 + 0.998550i \(0.517144\pi\)
\(354\) 21.3022 5.94407i 1.13220 0.315924i
\(355\) 0.863726 + 2.37307i 0.0458418 + 0.125949i
\(356\) 2.13583 + 12.1129i 0.113199 + 0.641983i
\(357\) −1.09327 1.52757i −0.0578620 0.0808477i
\(358\) −8.48129 3.08694i −0.448250 0.163150i
\(359\) −17.9876 21.4368i −0.949348 1.13139i −0.991214 0.132266i \(-0.957775\pi\)
0.0418658 0.999123i \(-0.486670\pi\)
\(360\) −0.798751 + 0.0164795i −0.0420979 + 0.000868548i
\(361\) −11.1609 + 15.3764i −0.587415 + 0.809286i
\(362\) 9.19395i 0.483223i
\(363\) 9.44854 + 0.728524i 0.495920 + 0.0382376i
\(364\) 1.23046 3.38067i 0.0644937 0.177195i
\(365\) −0.0895476 0.0157897i −0.00468713 0.000826468i
\(366\) 0.866009 1.26435i 0.0452670 0.0660884i
\(367\) 1.43051 0.520662i 0.0746719 0.0271783i −0.304414 0.952540i \(-0.598461\pi\)
0.379086 + 0.925361i \(0.376238\pi\)
\(368\) −4.86977 2.81156i −0.253854 0.146563i
\(369\) 28.4676 17.2283i 1.48196 0.896871i
\(370\) −0.807680 0.677724i −0.0419893 0.0352332i
\(371\) −5.32599 4.46904i −0.276512 0.232021i
\(372\) 17.3976 + 4.46987i 0.902023 + 0.231752i
\(373\) 4.13495 + 2.38731i 0.214100 + 0.123610i 0.603215 0.797578i \(-0.293886\pi\)
−0.389116 + 0.921189i \(0.627219\pi\)
\(374\) 1.98156 0.721228i 0.102464 0.0372938i
\(375\) −3.77850 2.58806i −0.195121 0.133647i
\(376\) −1.90501 0.335904i −0.0982432 0.0173229i
\(377\) −2.55669 + 7.02444i −0.131676 + 0.361777i
\(378\) 0.353736 6.27381i 0.0181942 0.322690i
\(379\) 13.4129i 0.688972i 0.938791 + 0.344486i \(0.111947\pi\)
−0.938791 + 0.344486i \(0.888053\pi\)
\(380\) −1.03416 + 0.527231i −0.0530515 + 0.0270464i
\(381\) −7.17292 + 7.32244i −0.367480 + 0.375140i
\(382\) −4.71325 5.61704i −0.241151 0.287393i
\(383\) 30.5956 + 11.1359i 1.56336 + 0.569017i 0.971503 0.237026i \(-0.0761727\pi\)
0.591857 + 0.806043i \(0.298395\pi\)
\(384\) 1.40849 1.00804i 0.0718767 0.0514416i
\(385\) 0.131493 + 0.745733i 0.00670150 + 0.0380061i
\(386\) −0.613121 1.68453i −0.0312070 0.0857406i
\(387\) 12.6245 + 6.94556i 0.641739 + 0.353063i
\(388\) 5.23366 3.02165i 0.265699 0.153401i
\(389\) 8.33624 9.93474i 0.422664 0.503711i −0.512127 0.858910i \(-0.671142\pi\)
0.934791 + 0.355199i \(0.115587\pi\)
\(390\) 0.133689 + 1.36568i 0.00676961 + 0.0691541i
\(391\) 2.52149 + 4.36735i 0.127517 + 0.220866i
\(392\) 2.76878 4.79567i 0.139845 0.242218i
\(393\) −12.3691 + 27.2561i −0.623938 + 1.37489i
\(394\) −7.79262 + 1.37405i −0.392586 + 0.0692236i
\(395\) −0.316270 + 1.79365i −0.0159132 + 0.0902485i
\(396\) 6.67690 + 2.27535i 0.335527 + 0.114341i
\(397\) 18.9635 15.9123i 0.951752 0.798615i −0.0278396 0.999612i \(-0.508863\pi\)
0.979592 + 0.200997i \(0.0644183\pi\)
\(398\) −10.4605 −0.524336
\(399\) −3.50926 8.42876i −0.175683 0.421966i
\(400\) 4.92908 0.246454
\(401\) 4.89417 4.10670i 0.244403 0.205079i −0.512354 0.858774i \(-0.671227\pi\)
0.756758 + 0.653695i \(0.226782\pi\)
\(402\) −7.99223 + 3.82769i −0.398616 + 0.190908i
\(403\) 5.35744 30.3836i 0.266873 1.51351i
\(404\) 10.2091 1.80013i 0.507919 0.0895599i
\(405\) 0.911938 + 2.21649i 0.0453146 + 0.110138i
\(406\) 1.51935 2.63158i 0.0754038 0.130603i
\(407\) 4.65462 + 8.06204i 0.230721 + 0.399620i
\(408\) −1.54596 + 0.151337i −0.0765366 + 0.00749230i
\(409\) −18.5835 + 22.1469i −0.918894 + 1.09510i 0.0762911 + 0.997086i \(0.475692\pi\)
−0.995185 + 0.0980100i \(0.968752\pi\)
\(410\) 2.55805 1.47689i 0.126333 0.0729384i
\(411\) −8.51571 30.5184i −0.420049 1.50536i
\(412\) 5.05487 + 13.8881i 0.249036 + 0.684220i
\(413\) 2.68135 + 15.2067i 0.131941 + 0.748273i
\(414\) −2.58603 + 16.6700i −0.127097 + 0.819285i
\(415\) −3.53224 1.28563i −0.173391 0.0631091i
\(416\) −1.91225 2.27894i −0.0937560 0.111734i
\(417\) 2.84486 + 2.78677i 0.139313 + 0.136469i
\(418\) 10.1725 1.25139i 0.497552 0.0612073i
\(419\) 19.2304i 0.939467i 0.882808 + 0.469733i \(0.155650\pi\)
−0.882808 + 0.469733i \(0.844350\pi\)
\(420\) 0.0428818 0.556153i 0.00209242 0.0271375i
\(421\) −11.8370 + 32.5219i −0.576900 + 1.58502i 0.216476 + 0.976288i \(0.430544\pi\)
−0.793376 + 0.608732i \(0.791678\pi\)
\(422\) 13.6823 + 2.41255i 0.666042 + 0.117441i
\(423\) 1.12538 + 5.69302i 0.0547180 + 0.276804i
\(424\) −5.40249 + 1.96634i −0.262368 + 0.0954941i
\(425\) −3.82830 2.21027i −0.185700 0.107214i
\(426\) −4.08721 + 15.9082i −0.198026 + 0.770757i
\(427\) 0.819655 + 0.687772i 0.0396659 + 0.0332836i
\(428\) 12.3860 + 10.3931i 0.598700 + 0.502369i
\(429\) 3.01491 11.7346i 0.145561 0.566553i
\(430\) 1.10771 + 0.639535i 0.0534184 + 0.0308411i
\(431\) 30.2120 10.9963i 1.45526 0.529671i 0.511205 0.859459i \(-0.329199\pi\)
0.944055 + 0.329788i \(0.106977\pi\)
\(432\) −4.34661 2.84728i −0.209126 0.136990i
\(433\) −22.7212 4.00636i −1.09191 0.192534i −0.401435 0.915888i \(-0.631488\pi\)
−0.690477 + 0.723354i \(0.742599\pi\)
\(434\) −4.28943 + 11.7851i −0.205899 + 0.565703i
\(435\) −0.0891011 + 1.15559i −0.00427207 + 0.0554063i
\(436\) 18.2651i 0.874740i
\(437\) 7.17158 + 23.4380i 0.343063 + 1.12119i
\(438\) −0.422473 0.413847i −0.0201865 0.0197744i
\(439\) 7.57338 + 9.02561i 0.361458 + 0.430769i 0.915871 0.401473i \(-0.131502\pi\)
−0.554413 + 0.832242i \(0.687057\pi\)
\(440\) 0.588409 + 0.214163i 0.0280513 + 0.0102098i
\(441\) −16.4163 2.54668i −0.781730 0.121271i
\(442\) 0.463295 + 2.62748i 0.0220367 + 0.124976i
\(443\) −7.28357 20.0114i −0.346053 0.950772i −0.983600 0.180361i \(-0.942273\pi\)
0.637548 0.770411i \(-0.279949\pi\)
\(444\) −1.84307 6.60514i −0.0874681 0.313466i
\(445\) 2.83668 1.63776i 0.134471 0.0776371i
\(446\) −8.00962 + 9.54549i −0.379266 + 0.451992i
\(447\) 13.5000 1.32154i 0.638530 0.0625068i
\(448\) 0.604656 + 1.04730i 0.0285673 + 0.0494800i
\(449\) 5.96300 10.3282i 0.281411 0.487419i −0.690321 0.723503i \(-0.742531\pi\)
0.971733 + 0.236084i \(0.0758641\pi\)
\(450\) −5.34308 13.7882i −0.251875 0.649981i
\(451\) −25.6837 + 4.52874i −1.20940 + 0.213250i
\(452\) 0.416790 2.36373i 0.0196041 0.111181i
\(453\) −17.3933 + 8.33012i −0.817211 + 0.391383i
\(454\) 1.25592 1.05384i 0.0589431 0.0494591i
\(455\) −0.958074 −0.0449152
\(456\) −7.48702 0.971852i −0.350612 0.0455111i
\(457\) −19.1338 −0.895044 −0.447522 0.894273i \(-0.647693\pi\)
−0.447522 + 0.894273i \(0.647693\pi\)
\(458\) −9.31102 + 7.81288i −0.435076 + 0.365072i
\(459\) 2.09915 + 4.16050i 0.0979799 + 0.194195i
\(460\) −0.260034 + 1.47473i −0.0121242 + 0.0687595i
\(461\) 29.6765 5.23277i 1.38217 0.243715i 0.567376 0.823459i \(-0.307959\pi\)
0.814798 + 0.579744i \(0.196848\pi\)
\(462\) −2.03527 + 4.48484i −0.0946891 + 0.208654i
\(463\) 12.7896 22.1523i 0.594385 1.02950i −0.399248 0.916843i \(-0.630729\pi\)
0.993633 0.112662i \(-0.0359378\pi\)
\(464\) −1.25637 2.17610i −0.0583256 0.101023i
\(465\) −0.466044 4.76082i −0.0216123 0.220778i
\(466\) 1.54847 1.84539i 0.0717313 0.0854860i
\(467\) 24.6450 14.2288i 1.14044 0.658431i 0.193898 0.981022i \(-0.437887\pi\)
0.946539 + 0.322591i \(0.104554\pi\)
\(468\) −4.30203 + 7.81952i −0.198861 + 0.361458i
\(469\) −2.11611 5.81397i −0.0977131 0.268464i
\(470\) 0.0894536 + 0.507317i 0.00412619 + 0.0234008i
\(471\) −29.8912 + 21.3929i −1.37731 + 0.985732i
\(472\) 11.9986 + 4.36714i 0.552281 + 0.201014i
\(473\) −7.25924 8.65122i −0.333780 0.397784i
\(474\) −8.28942 + 8.46221i −0.380746 + 0.388682i
\(475\) −15.7168 14.6494i −0.721134 0.672160i
\(476\) 1.08455i 0.0497101i
\(477\) 11.3567 + 12.9809i 0.519989 + 0.594357i
\(478\) −6.54821 + 17.9910i −0.299508 + 0.822891i
\(479\) −12.1691 2.14575i −0.556022 0.0980417i −0.111426 0.993773i \(-0.535542\pi\)
−0.444596 + 0.895731i \(0.646653\pi\)
\(480\) −0.380548 0.260655i −0.0173696 0.0118972i
\(481\) −11.0679 + 4.02840i −0.504655 + 0.183679i
\(482\) 3.63362 + 2.09787i 0.165507 + 0.0955554i
\(483\) −11.4077 2.93090i −0.519066 0.133361i
\(484\) 4.19126 + 3.51689i 0.190512 + 0.159859i
\(485\) −1.23285 1.03449i −0.0559810 0.0469736i
\(486\) −3.25304 + 15.2453i −0.147561 + 0.691539i
\(487\) 24.3442 + 14.0551i 1.10314 + 0.636899i 0.937044 0.349210i \(-0.113550\pi\)
0.166097 + 0.986109i \(0.446883\pi\)
\(488\) 0.831427 0.302615i 0.0376369 0.0136987i
\(489\) 3.40734 4.97461i 0.154085 0.224959i
\(490\) −1.45229 0.256078i −0.0656077 0.0115684i
\(491\) 1.17147 3.21859i 0.0528678 0.145253i −0.910448 0.413624i \(-0.864263\pi\)
0.963316 + 0.268371i \(0.0864852\pi\)
\(492\) 19.1544 + 1.47689i 0.863548 + 0.0665833i
\(493\) 2.25350i 0.101493i
\(494\) −0.675701 + 12.9498i −0.0304012 + 0.582641i
\(495\) −0.0387486 1.87812i −0.00174162 0.0844151i
\(496\) 6.66618 + 7.94444i 0.299320 + 0.356716i
\(497\) −10.7762 3.92222i −0.483379 0.175936i
\(498\) −14.2286 19.8809i −0.637598 0.890884i
\(499\) 6.64566 + 37.6894i 0.297500 + 1.68721i 0.656862 + 0.754010i \(0.271883\pi\)
−0.359362 + 0.933198i \(0.617006\pi\)
\(500\) −0.904364 2.48472i −0.0404444 0.111120i
\(501\) −34.2670 + 9.56171i −1.53094 + 0.427186i
\(502\) 3.65031 2.10751i 0.162921 0.0940626i
\(503\) 10.1578 12.1056i 0.452916 0.539764i −0.490472 0.871457i \(-0.663175\pi\)
0.943387 + 0.331693i \(0.107620\pi\)
\(504\) 2.27417 2.82667i 0.101300 0.125910i
\(505\) −1.38034 2.39082i −0.0614244 0.106390i
\(506\) 6.61088 11.4504i 0.293889 0.509031i
\(507\) −6.54512 2.97024i −0.290679 0.131913i
\(508\) −5.82811 + 1.02765i −0.258581 + 0.0455947i
\(509\) −1.72136 + 9.76234i −0.0762981 + 0.432708i 0.922599 + 0.385760i \(0.126061\pi\)
−0.998897 + 0.0469483i \(0.985050\pi\)
\(510\) 0.178682 + 0.373088i 0.00791215 + 0.0165206i
\(511\) 0.316310 0.265415i 0.0139927 0.0117413i
\(512\) 1.00000 0.0441942
\(513\) 5.39730 + 21.9970i 0.238296 + 0.971192i
\(514\) 17.7732 0.783941
\(515\) 3.01505 2.52993i 0.132859 0.111482i
\(516\) 3.59335 + 7.50294i 0.158189 + 0.330299i
\(517\) 0.789817 4.47928i 0.0347361 0.196998i
\(518\) 4.71512 0.831403i 0.207170 0.0365297i
\(519\) −13.1431 5.96449i −0.576920 0.261812i
\(520\) −0.396123 + 0.686106i −0.0173712 + 0.0300877i
\(521\) 6.93036 + 12.0037i 0.303625 + 0.525894i 0.976954 0.213449i \(-0.0684697\pi\)
−0.673329 + 0.739343i \(0.735136\pi\)
\(522\) −4.72533 + 5.87334i −0.206822 + 0.257069i
\(523\) 24.0581 28.6713i 1.05199 1.25371i 0.0856778 0.996323i \(-0.472694\pi\)
0.966309 0.257386i \(-0.0828611\pi\)
\(524\) −14.9657 + 8.64045i −0.653780 + 0.377460i
\(525\) 9.94452 2.77487i 0.434014 0.121105i
\(526\) −0.383160 1.05272i −0.0167066 0.0459010i
\(527\) −1.61506 9.15947i −0.0703532 0.398993i
\(528\) 2.37023 + 3.31181i 0.103151 + 0.144128i
\(529\) 8.09973 + 2.94806i 0.352162 + 0.128177i
\(530\) 0.984142 + 1.17286i 0.0427484 + 0.0509456i
\(531\) −0.790147 38.2978i −0.0342895 1.66198i
\(532\) 1.18460 5.13644i 0.0513590 0.222693i
\(533\) 32.9970i 1.42926i
\(534\) 21.2408 + 1.63776i 0.919179 + 0.0708727i
\(535\) 1.47269 4.04618i 0.0636699 0.174932i
\(536\) −5.03849 0.888422i −0.217630 0.0383740i
\(537\) −8.83404 + 12.8974i −0.381217 + 0.556565i
\(538\) 18.2909 6.65734i 0.788576 0.287018i
\(539\) 11.2761 + 6.51028i 0.485698 + 0.280418i
\(540\) −0.316622 + 1.34706i −0.0136253 + 0.0579683i
\(541\) 6.17119 + 5.17824i 0.265320 + 0.222630i 0.765736 0.643155i \(-0.222375\pi\)
−0.500416 + 0.865785i \(0.666819\pi\)
\(542\) −0.243639 0.204438i −0.0104652 0.00878135i
\(543\) −15.4235 3.96266i −0.661884 0.170054i
\(544\) −0.776676 0.448414i −0.0332997 0.0192256i
\(545\) −4.57078 + 1.66363i −0.195791 + 0.0712620i
\(546\) −5.14096 3.52128i −0.220013 0.150697i
\(547\) 25.2004 + 4.44352i 1.07749 + 0.189991i 0.684106 0.729382i \(-0.260192\pi\)
0.393386 + 0.919373i \(0.371303\pi\)
\(548\) 6.25654 17.1897i 0.267266 0.734308i
\(549\) −1.74777 1.99773i −0.0745930 0.0852611i
\(550\) 11.5898i 0.494192i
\(551\) −2.46140 + 10.6726i −0.104859 + 0.454670i
\(552\) −6.81550 + 6.95756i −0.290087 + 0.296133i
\(553\) −5.31631 6.33574i −0.226073 0.269423i
\(554\) 20.6128 + 7.50244i 0.875753 + 0.318748i
\(555\) −1.48504 + 1.06283i −0.0630366 + 0.0451147i
\(556\) 0.399256 + 2.26430i 0.0169322 + 0.0960275i
\(557\) −4.99606 13.7266i −0.211690 0.581613i 0.787718 0.616037i \(-0.211263\pi\)
−0.999407 + 0.0344238i \(0.989040\pi\)
\(558\) 14.9970 27.2591i 0.634874 1.15397i
\(559\) 12.3743 7.14431i 0.523377 0.302172i
\(560\) 0.207009 0.246703i 0.00874771 0.0104251i
\(561\) −0.355841 3.63505i −0.0150236 0.153472i
\(562\) −7.54402 13.0666i −0.318225 0.551182i
\(563\) 12.5968 21.8184i 0.530893 0.919534i −0.468457 0.883486i \(-0.655190\pi\)
0.999350 0.0360479i \(-0.0114769\pi\)
\(564\) −1.38458 + 3.05100i −0.0583011 + 0.128470i
\(565\) −0.629478 + 0.110994i −0.0264824 + 0.00466955i
\(566\) −1.15312 + 6.53969i −0.0484694 + 0.274884i
\(567\) −10.3723 3.29748i −0.435594 0.138481i
\(568\) −7.26434 + 6.09550i −0.304805 + 0.255762i
\(569\) −42.1013 −1.76498 −0.882490 0.470332i \(-0.844134\pi\)
−0.882490 + 0.470332i \(0.844134\pi\)
\(570\) 0.438733 + 1.96212i 0.0183765 + 0.0821842i
\(571\) −12.9487 −0.541887 −0.270944 0.962595i \(-0.587336\pi\)
−0.270944 + 0.962595i \(0.587336\pi\)
\(572\) 5.35850 4.49632i 0.224050 0.188000i
\(573\) −11.4544 + 5.48581i −0.478515 + 0.229173i
\(574\) −2.32919 + 13.2095i −0.0972184 + 0.551353i
\(575\) −27.2958 + 4.81298i −1.13831 + 0.200715i
\(576\) −1.08399 2.79731i −0.0451663 0.116555i
\(577\) 6.43762 11.1503i 0.268002 0.464192i −0.700344 0.713805i \(-0.746970\pi\)
0.968346 + 0.249613i \(0.0803034\pi\)
\(578\) −8.09785 14.0259i −0.336826 0.583400i
\(579\) −3.09018 + 0.302503i −0.128424 + 0.0125716i
\(580\) −0.430128 + 0.512607i −0.0178601 + 0.0212848i
\(581\) 14.7826 8.53474i 0.613286 0.354081i
\(582\) −2.81328 10.0822i −0.116614 0.417920i
\(583\) −4.62350 12.7030i −0.191486 0.526103i
\(584\) −0.0592912 0.336257i −0.00245349 0.0139144i
\(585\) 2.34865 + 0.364348i 0.0971046 + 0.0150639i
\(586\) −26.6925 9.71527i −1.10266 0.401334i
\(587\) −11.6998 13.9432i −0.482900 0.575498i 0.468497 0.883465i \(-0.344796\pi\)
−0.951397 + 0.307967i \(0.900351\pi\)
\(588\) −6.85169 6.71179i −0.282559 0.276790i
\(589\) 2.35551 45.1435i 0.0970573 1.86011i
\(590\) 3.40038i 0.139992i
\(591\) −1.05362 + 13.6649i −0.0433402 + 0.562098i
\(592\) 1.35411 3.72039i 0.0556537 0.152907i
\(593\) 6.08719 + 1.07334i 0.249971 + 0.0440766i 0.297230 0.954806i \(-0.403937\pi\)
−0.0472585 + 0.998883i \(0.515048\pi\)
\(594\) 6.69485 10.2203i 0.274693 0.419342i
\(595\) −0.271404 + 0.0987830i −0.0111265 + 0.00404971i
\(596\) 6.78228 + 3.91575i 0.277813 + 0.160395i
\(597\) −4.50854 + 17.5481i −0.184522 + 0.718197i
\(598\) 12.8147 + 10.7528i 0.524034 + 0.439717i
\(599\) 27.9659 + 23.4662i 1.14266 + 0.958803i 0.999522 0.0308999i \(-0.00983730\pi\)
0.143135 + 0.989703i \(0.454282\pi\)
\(600\) 2.12447 8.26886i 0.0867312 0.337575i
\(601\) 2.01662 + 1.16430i 0.0822597 + 0.0474927i 0.540566 0.841302i \(-0.318210\pi\)
−0.458306 + 0.888795i \(0.651544\pi\)
\(602\) −5.45804 + 1.98656i −0.222453 + 0.0809663i
\(603\) 2.97649 + 15.0573i 0.121212 + 0.613180i
\(604\) −10.9652 1.93345i −0.446166 0.0786712i
\(605\) 0.498339 1.36918i 0.0202604 0.0556649i
\(606\) 1.38034 17.9022i 0.0560725 0.727229i
\(607\) 24.4621i 0.992887i 0.868069 + 0.496443i \(0.165361\pi\)
−0.868069 + 0.496443i \(0.834639\pi\)
\(608\) −3.18858 2.97203i −0.129314 0.120532i
\(609\) −3.75981 3.68304i −0.152355 0.149244i
\(610\) −0.151457 0.180499i −0.00613230 0.00730819i
\(611\) 5.40766 + 1.96823i 0.218770 + 0.0796259i
\(612\) −0.412444 + 2.65868i −0.0166721 + 0.107471i
\(613\) −6.30039 35.7313i −0.254470 1.44317i −0.797428 0.603414i \(-0.793807\pi\)
0.542958 0.839760i \(-0.317304\pi\)
\(614\) −1.49097 4.09641i −0.0601707 0.165318i
\(615\) −1.37504 4.92785i −0.0554471 0.198710i
\(616\) −2.46252 + 1.42174i −0.0992179 + 0.0572835i
\(617\) 10.3830 12.3740i 0.418006 0.498160i −0.515416 0.856940i \(-0.672363\pi\)
0.933422 + 0.358780i \(0.116807\pi\)
\(618\) 25.4770 2.49399i 1.02483 0.100323i
\(619\) −15.2492 26.4123i −0.612916 1.06160i −0.990746 0.135726i \(-0.956663\pi\)
0.377831 0.925875i \(-0.376670\pi\)
\(620\) 1.38090 2.39179i 0.0554582 0.0960564i
\(621\) 26.8504 + 11.5231i 1.07747 + 0.462408i
\(622\) 4.67465 0.824268i 0.187437 0.0330501i
\(623\) −2.58289 + 14.6483i −0.103481 + 0.586871i
\(624\) −4.64726 + 2.22570i −0.186039 + 0.0890991i
\(625\) 18.3401 15.3891i 0.733602 0.615565i
\(626\) 18.9314 0.756651
\(627\) 2.28513 17.6044i 0.0912594 0.703051i
\(628\) −21.2221 −0.846856
\(629\) −2.71998 + 2.28234i −0.108453 + 0.0910028i
\(630\) −0.914502 0.311644i −0.0364346 0.0124162i
\(631\) −5.03370 + 28.5475i −0.200388 + 1.13646i 0.704145 + 0.710056i \(0.251330\pi\)
−0.904533 + 0.426403i \(0.859781\pi\)
\(632\) −6.73529 + 1.18761i −0.267915 + 0.0472407i
\(633\) 9.94438 21.9131i 0.395254 0.870967i
\(634\) −15.6694 + 27.1401i −0.622310 + 1.07787i
\(635\) 0.788005 + 1.36486i 0.0312710 + 0.0541630i
\(636\) 0.970161 + 9.91055i 0.0384694 + 0.392979i
\(637\) −10.5892 + 12.6198i −0.419561 + 0.500013i
\(638\) 5.11670 2.95413i 0.202572 0.116955i
\(639\) 24.9255 + 13.7132i 0.986038 + 0.542484i
\(640\) −0.0910823 0.250247i −0.00360035 0.00989187i
\(641\) 4.38869 + 24.8895i 0.173343 + 0.983076i 0.940039 + 0.341066i \(0.110788\pi\)
−0.766696 + 0.642010i \(0.778101\pi\)
\(642\) 22.7736 16.2988i 0.898801 0.643264i
\(643\) 11.3227 + 4.12111i 0.446522 + 0.162521i 0.555488 0.831525i \(-0.312532\pi\)
−0.108966 + 0.994046i \(0.534754\pi\)
\(644\) −4.37103 5.20919i −0.172243 0.205271i
\(645\) 1.55029 1.58261i 0.0610428 0.0623152i
\(646\) 1.14379 + 3.73811i 0.0450018 + 0.147074i
\(647\) 27.8093i 1.09330i 0.837362 + 0.546649i \(0.184097\pi\)
−0.837362 + 0.546649i \(0.815903\pi\)
\(648\) −6.64992 + 6.06453i −0.261234 + 0.238237i
\(649\) −10.2685 + 28.2126i −0.403075 + 1.10744i
\(650\) −14.4409 2.54633i −0.566420 0.0998752i
\(651\) 17.9215 + 12.2753i 0.702400 + 0.481106i
\(652\) 3.27128 1.19065i 0.128113 0.0466293i
\(653\) 2.53710 + 1.46480i 0.0992846 + 0.0573220i 0.548820 0.835940i \(-0.315077\pi\)
−0.449536 + 0.893262i \(0.648411\pi\)
\(654\) −30.6409 7.87240i −1.19816 0.307835i
\(655\) 3.52536 + 2.95812i 0.137747 + 0.115583i
\(656\) 8.49669 + 7.12957i 0.331740 + 0.278363i
\(657\) −0.876345 + 0.530356i −0.0341895 + 0.0206912i
\(658\) −2.02588 1.16964i −0.0789771 0.0455975i
\(659\) −25.4128 + 9.24952i −0.989944 + 0.360310i −0.785699 0.618610i \(-0.787696\pi\)
−0.204245 + 0.978920i \(0.565474\pi\)
\(660\) 0.612883 0.894790i 0.0238564 0.0348297i
\(661\) 13.9832 + 2.46561i 0.543883 + 0.0959013i 0.438838 0.898566i \(-0.355390\pi\)
0.105045 + 0.994467i \(0.466501\pi\)
\(662\) −1.26619 + 3.47882i −0.0492118 + 0.135208i
\(663\) 4.60746 + 0.355255i 0.178939 + 0.0137970i
\(664\) 14.1150i 0.547770i
\(665\) −1.39327 + 0.171396i −0.0540288 + 0.00664645i
\(666\) −11.8749 + 0.245000i −0.460145 + 0.00949354i
\(667\) 9.08225 + 10.8238i 0.351666 + 0.419099i
\(668\) −19.3011 7.02504i −0.746784 0.271807i
\(669\) 12.5610 + 17.5509i 0.485636 + 0.678555i
\(670\) 0.236593 + 1.34178i 0.00914038 + 0.0518377i
\(671\) 0.711543 + 1.95495i 0.0274688 + 0.0754700i
\(672\) 2.01752 0.562959i 0.0778275 0.0217166i
\(673\) −4.68491 + 2.70483i −0.180590 + 0.104264i −0.587570 0.809173i \(-0.699915\pi\)
0.406980 + 0.913437i \(0.366582\pi\)
\(674\) −12.8807 + 15.3506i −0.496146 + 0.591284i
\(675\) −25.4335 + 3.02057i −0.978936 + 0.116262i
\(676\) −2.07487 3.59378i −0.0798026 0.138222i
\(677\) −11.2154 + 19.4256i −0.431043 + 0.746588i −0.996963 0.0778720i \(-0.975187\pi\)
0.565921 + 0.824460i \(0.308521\pi\)
\(678\) −3.78568 1.71798i −0.145388 0.0659787i
\(679\) 7.19722 1.26906i 0.276204 0.0487022i
\(680\) −0.0414727 + 0.235203i −0.00159041 + 0.00901964i
\(681\) −1.22658 2.56110i −0.0470025 0.0981414i
\(682\) −18.6799 + 15.6743i −0.715290 + 0.600200i
\(683\) 5.63051 0.215446 0.107723 0.994181i \(-0.465644\pi\)
0.107723 + 0.994181i \(0.465644\pi\)
\(684\) −4.85731 + 12.1411i −0.185724 + 0.464227i
\(685\) −4.87153 −0.186131
\(686\) 11.6146 9.74584i 0.443449 0.372098i
\(687\) 9.09350 + 18.9873i 0.346939 + 0.724410i
\(688\) −0.834031 + 4.73003i −0.0317971 + 0.180331i
\(689\) 16.8437 2.97000i 0.641694 0.113148i
\(690\) 2.36188 + 1.07184i 0.0899151 + 0.0408044i
\(691\) 8.10408 14.0367i 0.308294 0.533980i −0.669696 0.742636i \(-0.733575\pi\)
0.977989 + 0.208655i \(0.0669087\pi\)
\(692\) −4.16651 7.21660i −0.158387 0.274334i
\(693\) 6.64640 + 5.34730i 0.252476 + 0.203127i
\(694\) 0.183420 0.218592i 0.00696254 0.00829763i
\(695\) 0.530267 0.306150i 0.0201142 0.0116129i
\(696\) −4.19206 + 1.16973i −0.158900 + 0.0443386i
\(697\) −3.40218 9.34740i −0.128867 0.354058i
\(698\) −2.42716 13.7651i −0.0918694 0.521017i
\(699\) −2.42836 3.39303i −0.0918491 0.128336i
\(700\) 5.60132 + 2.03871i 0.211710 + 0.0770561i
\(701\) 25.1621 + 29.9870i 0.950360 + 1.13260i 0.991059 + 0.133424i \(0.0425971\pi\)
−0.0406990 + 0.999171i \(0.512958\pi\)
\(702\) 11.2636 + 10.5872i 0.425116 + 0.399589i
\(703\) −15.3748 + 7.83829i −0.579872 + 0.295627i
\(704\) 2.35132i 0.0886186i
\(705\) 0.889613 + 0.0685930i 0.0335048 + 0.00258336i
\(706\) −7.01582 + 19.2758i −0.264044 + 0.725455i
\(707\) 12.3459 + 2.17692i 0.464317 + 0.0818715i
\(708\) 12.4977 18.2462i 0.469691 0.685735i
\(709\) −0.294067 + 0.107032i −0.0110439 + 0.00401966i −0.347536 0.937667i \(-0.612982\pi\)
0.336492 + 0.941686i \(0.390759\pi\)
\(710\) 2.18703 + 1.26268i 0.0820779 + 0.0473877i
\(711\) 10.6231 + 17.5533i 0.398398 + 0.658302i
\(712\) 9.42217 + 7.90614i 0.353111 + 0.296295i
\(713\) −44.6726 37.4847i −1.67300 1.40381i
\(714\) −1.81940 0.467448i −0.0680893 0.0174938i
\(715\) −1.61325 0.931412i −0.0603322 0.0348328i
\(716\) −8.48129 + 3.08694i −0.316961 + 0.115364i
\(717\) 27.3589 + 18.7393i 1.02174 + 0.699833i
\(718\) −27.5586 4.85932i −1.02848 0.181348i
\(719\) −9.97683 + 27.4111i −0.372073 + 1.02226i 0.602486 + 0.798130i \(0.294177\pi\)
−0.974559 + 0.224132i \(0.928045\pi\)
\(720\) −0.601286 + 0.526051i −0.0224086 + 0.0196048i
\(721\) 17.8730i 0.665624i
\(722\) 1.33405 + 18.9531i 0.0496481 + 0.705362i
\(723\) 5.08544 5.19144i 0.189129 0.193072i
\(724\) −5.90976 7.04297i −0.219634 0.261750i
\(725\) −11.6386 4.23609i −0.432246 0.157325i
\(726\) 7.70629 5.51532i 0.286007 0.204693i
\(727\) 1.39364 + 7.90374i 0.0516873 + 0.293133i 0.999684 0.0251476i \(-0.00800557\pi\)
−0.947996 + 0.318281i \(0.896894\pi\)
\(728\) −1.23046 3.38067i −0.0456040 0.125296i
\(729\) 24.1729 + 12.0280i 0.895291 + 0.445482i
\(730\) −0.0787468 + 0.0454645i −0.00291455 + 0.00168272i
\(731\) 2.76878 3.29971i 0.102407 0.122044i
\(732\) −0.149305 1.52520i −0.00551847 0.0563732i
\(733\) −8.60205 14.8992i −0.317724 0.550314i 0.662289 0.749249i \(-0.269585\pi\)
−0.980013 + 0.198935i \(0.936252\pi\)
\(734\) 0.761157 1.31836i 0.0280948 0.0486617i
\(735\) −1.05553 + 2.32594i −0.0389340 + 0.0857936i
\(736\) −5.53770 + 0.976446i −0.204122 + 0.0359923i
\(737\) 2.08896 11.8471i 0.0769479 0.436393i
\(738\) 10.7333 31.4963i 0.395098 1.15939i
\(739\) −19.8776 + 16.6793i −0.731210 + 0.613558i −0.930461 0.366390i \(-0.880593\pi\)
0.199251 + 0.979948i \(0.436149\pi\)
\(740\) −1.05435 −0.0387587
\(741\) 21.4330 + 6.71502i 0.787361 + 0.246682i
\(742\) −6.95259 −0.255237
\(743\) −35.8677 + 30.0966i −1.31586 + 1.10414i −0.328693 + 0.944437i \(0.606608\pi\)
−0.987166 + 0.159700i \(0.948947\pi\)
\(744\) 16.2005 7.75884i 0.593939 0.284453i
\(745\) 0.362158 2.05390i 0.0132684 0.0752491i
\(746\) 4.70209 0.829106i 0.172156 0.0303557i
\(747\) −39.4842 + 15.3006i −1.44465 + 0.559819i
\(748\) 1.05436 1.82621i 0.0385514 0.0667729i
\(749\) 9.77655 + 16.9335i 0.357227 + 0.618736i
\(750\) −4.55807 + 0.446197i −0.166437 + 0.0162928i
\(751\) −1.93570 + 2.30687i −0.0706346 + 0.0841791i −0.800205 0.599727i \(-0.795276\pi\)
0.729570 + 0.683906i \(0.239720\pi\)
\(752\) −1.67524 + 0.967198i −0.0610895 + 0.0352701i
\(753\) −1.96217 7.03199i −0.0715055 0.256260i
\(754\) 2.55669 + 7.02444i 0.0931091 + 0.255815i
\(755\) 0.514892 + 2.92010i 0.0187389 + 0.106273i
\(756\) −3.76175 5.03339i −0.136813 0.183063i
\(757\) 6.18347 + 2.25060i 0.224742 + 0.0817994i 0.451937 0.892050i \(-0.350733\pi\)
−0.227195 + 0.973849i \(0.572955\pi\)
\(758\) 8.62162 + 10.2748i 0.313151 + 0.373199i
\(759\) −16.3594 16.0254i −0.593810 0.581685i
\(760\) −0.453318 + 1.06863i −0.0164436 + 0.0387633i
\(761\) 12.0756i 0.437741i 0.975754 + 0.218870i \(0.0702372\pi\)
−0.975754 + 0.218870i \(0.929763\pi\)
\(762\) −0.788005 + 10.2200i −0.0285464 + 0.370231i
\(763\) 7.55461 20.7561i 0.273495 0.751422i
\(764\) −7.22112 1.27328i −0.261251 0.0460656i
\(765\) 0.702893 0.138946i 0.0254132 0.00502362i
\(766\) 30.5956 11.1359i 1.10546 0.402356i
\(767\) −32.8968 18.9930i −1.18784 0.685797i
\(768\) 0.431008 1.67757i 0.0155527 0.0605340i
\(769\) −28.1846 23.6497i −1.01636 0.852830i −0.0271972 0.999630i \(-0.508658\pi\)
−0.989166 + 0.146800i \(0.953103\pi\)
\(770\) 0.580078 + 0.486743i 0.0209045 + 0.0175410i
\(771\) 7.66037 29.8157i 0.275882