Properties

Label 114.2.l.b.41.1
Level $114$
Weight $2$
Character 114.41
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 41.1
Root \(1.40849 + 1.00804i\) of defining polynomial
Character \(\chi\) \(=\) 114.41
Dual form 114.2.l.b.89.1

$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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 0.114697 0.993401i \(-0.463410\pi\)
−0.231983 + 0.972720i \(0.574522\pi\)
\(6\) −1.57724 + 0.715766i −0.643905 + 0.292210i
\(7\) 0.604656 + 1.04730i 0.228539 + 0.395840i 0.957375 0.288847i \(-0.0932720\pi\)
−0.728837 + 0.684688i \(0.759939\pi\)
\(8\) −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 0.774517 0.632553i \(-0.217993\pi\)
−0.160549 + 0.987028i \(0.551326\pi\)
\(12\) −1.66832 0.465520i −0.481602 0.134384i
\(13\) 1.01749 2.79553i 0.282201 0.775340i −0.714899 0.699228i \(-0.753527\pi\)
0.997099 0.0761119i \(-0.0242506\pi\)
\(14\) −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 −0.691593 0.722287i \(-0.743091\pi\)
0.831408 + 0.555663i \(0.187535\pi\)
\(18\) 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 0.436668 0.899623i \(-0.356159\pi\)
0.718022 + 0.696020i \(0.245048\pi\)
\(24\) −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 −0.446329 0.894869i \(-0.647269\pi\)
0.803769 + 0.594941i \(0.202825\pi\)
\(30\) 0.446748 0.114780i 0.0815646 0.0209559i
\(31\) −8.98131 + 5.18536i −1.61309 + 0.931319i −0.624443 + 0.781070i \(0.714674\pi\)
−0.988648 + 0.150249i \(0.951993\pi\)
\(32\) −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 \(-0.894487\pi\)
0.945562 0.325441i \(-0.105513\pi\)
\(38\) 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 −0.984838 0.173479i \(-0.944499\pi\)
−0.642920 + 0.765934i \(0.722277\pi\)
\(42\) −1.70331 1.21904i −0.262826 0.188102i
\(43\) −0.834031 + 4.73003i −0.127189 + 0.721322i 0.852795 + 0.522245i \(0.174905\pi\)
−0.979984 + 0.199077i \(0.936206\pi\)
\(44\) −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 0.849067 0.528285i \(-0.177165\pi\)
−0.667698 + 0.744432i \(0.732720\pi\)
\(48\) 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 0.973351 + 0.229320i \(0.0736504\pi\)
−0.836219 + 0.548396i \(0.815239\pi\)
\(54\) 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 −0.994115 0.108329i \(-0.965450\pi\)
−0.279310 0.960201i \(-0.590106\pi\)
\(60\) 0.416008 + 0.199237i 0.0537064 + 0.0257214i
\(61\) −0.153642 0.871345i −0.0196718 0.111564i 0.973391 0.229152i \(-0.0735951\pi\)
−0.993063 + 0.117587i \(0.962484\pi\)
\(62\) −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 0.928559 0.371184i \(-0.121048\pi\)
−0.526788 + 0.849997i \(0.676604\pi\)
\(68\) 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 0.716384 + 0.697706i \(0.245796\pi\)
−0.911810 + 0.410612i \(0.865315\pi\)
\(72\) 2.96454 0.459892i 0.349374 0.0541988i
\(73\) 0.320853 0.116781i 0.0375530 0.0136682i −0.323175 0.946339i \(-0.604750\pi\)
0.360728 + 0.932671i \(0.382528\pi\)
\(74\) 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 0.998949 + 0.0458383i \(0.0145959\pi\)
−0.735775 + 0.677226i \(0.763182\pi\)
\(80\) 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 0.354691 0.934984i \(-0.384586\pi\)
0.987065 + 0.160320i \(0.0512527\pi\)
\(84\) −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 −0.353213 0.935543i \(-0.614911\pi\)
−0.871933 + 0.489626i \(0.837133\pi\)
\(90\) −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 −0.531892 0.846812i \(-0.678519\pi\)
0.926309 + 0.376764i \(0.122963\pi\)
\(98\) 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 −0.628670 0.777672i \(-0.716400\pi\)
0.981467 0.191630i \(-0.0613774\pi\)
\(102\) −0.417492 + 1.49620i −0.0413378 + 0.148146i
\(103\) −12.7994 7.38973i −1.26116 0.728131i −0.287861 0.957672i \(-0.592944\pi\)
−0.973299 + 0.229541i \(0.926278\pi\)
\(104\) 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 −0.931040 0.364917i \(-0.881097\pi\)
0.149493 0.988763i \(-0.452236\pi\)
\(108\) 2.04924 + 4.77500i 0.197188 + 0.459474i
\(109\) 17.9876 + 3.17170i 1.72290 + 0.303794i 0.945599 0.325334i \(-0.105477\pi\)
0.777302 + 0.629128i \(0.216588\pi\)
\(110\) −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 −0.996526 0.0832849i \(-0.973459\pi\)
0.816918 + 0.576754i \(0.195681\pi\)
\(128\) 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 0.0171319 + 0.999853i \(0.494546\pi\)
−0.987638 + 0.156751i \(0.949898\pi\)
\(132\) −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 0.661208 0.750203i \(-0.270044\pi\)
0.877917 + 0.478813i \(0.158933\pi\)
\(138\) −8.03536 + 5.50379i −0.684015 + 0.468513i
\(139\) −2.16057 0.786381i −0.183257 0.0667000i 0.248762 0.968565i \(-0.419976\pi\)
−0.432019 + 0.901865i \(0.642199\pi\)
\(140\) 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 0.780313 0.625389i \(-0.215060\pi\)
−0.999747 + 0.0224995i \(0.992838\pi\)
\(150\) 8.51215 0.656324i 0.695014 0.0535886i
\(151\) 11.1343i 0.906098i 0.891486 + 0.453049i \(0.149664\pi\)
−0.891486 + 0.453049i \(0.850336\pi\)
\(152\) 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 0.376688 + 0.926340i \(0.377063\pi\)
−0.670798 + 0.741640i \(0.734048\pi\)
\(158\) −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 −0.789772 0.613401i \(-0.789801\pi\)
0.926107 + 0.377262i \(0.123134\pi\)
\(164\) −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 0.735767 + 0.677235i \(0.236822\pi\)
−0.459767 + 0.888040i \(0.652067\pi\)
\(168\) 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 0.852348 0.522976i \(-0.175178\pi\)
−0.367022 + 0.930212i \(0.619623\pi\)
\(174\) −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 −0.983924 0.178586i \(-0.942848\pi\)
0.646622 + 0.762811i \(0.276181\pi\)
\(180\) −0.622471 + 0.500803i −0.0463963 + 0.0373277i
\(181\) 5.90976 + 7.04297i 0.439269 + 0.523500i 0.939573 0.342350i \(-0.111223\pi\)
−0.500304 + 0.865850i \(0.666778\pi\)
\(182\) 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 \(0.0854648\pi\)
−0.964171 + 0.265281i \(0.914535\pi\)
\(192\) 1.72693 0.133153i 0.124630 0.00960952i
\(193\) 0.613121 + 1.68453i 0.0441334 + 0.121255i 0.959801 0.280680i \(-0.0905599\pi\)
−0.915668 + 0.401935i \(0.868338\pi\)
\(194\) 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 −0.723842 0.689966i \(-0.757626\pi\)
0.235607 + 0.971849i \(0.424292\pi\)
\(198\) 3.65224 6.03485i 0.259553 0.428878i
\(199\) −8.01318 + 6.72386i −0.568039 + 0.476642i −0.880995 0.473126i \(-0.843125\pi\)
0.312955 + 0.949768i \(0.398681\pi\)
\(200\) 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 −0.365368 0.930863i \(-0.619057\pi\)
0.980167 + 0.198175i \(0.0635013\pi\)
\(212\) −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 −0.253066 0.967449i \(-0.581439\pi\)
−0.568691 + 0.822551i \(0.692550\pi\)
\(224\) −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 0.250817 0.968035i \(-0.419301\pi\)
−0.0953966 + 0.995439i \(0.530412\pi\)
\(234\) −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 −0.143646 0.989629i \(-0.545883\pi\)
−0.928867 + 0.370414i \(0.879216\pi\)
\(240\) −0.123971 + 0.444285i −0.00800230 + 0.0286785i
\(241\) 1.43503 3.94271i 0.0924383 0.253972i −0.884854 0.465869i \(-0.845742\pi\)
0.977292 + 0.211897i \(0.0679641\pi\)
\(242\) 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 −0.0411012 0.999155i \(-0.513087\pi\)
0.303109 + 0.952956i \(0.401976\pi\)
\(252\) 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 −0.110349 0.993893i \(-0.535197\pi\)
0.959631 + 0.281260i \(0.0907525\pi\)
\(258\) −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 0.950945 0.309359i \(-0.100115\pi\)
−0.927319 + 0.374273i \(0.877892\pi\)
\(264\) −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 0.282311 0.959323i \(-0.408899\pi\)
0.832904 + 0.553418i \(0.186677\pi\)
\(270\) −1.10842 0.828388i −0.0674564 0.0504141i
\(271\) −0.0552285 + 0.313217i −0.00335489 + 0.0190266i −0.986439 0.164127i \(-0.947519\pi\)
0.983084 + 0.183153i \(0.0586305\pi\)
\(272\) −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 −0.321884 0.946779i \(-0.604316\pi\)
0.980877 0.194630i \(-0.0623506\pi\)
\(278\) −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 0.957591 + 0.288132i \(0.0930342\pi\)
−0.801294 + 0.598271i \(0.795855\pi\)
\(282\) −3.02179 1.44721i −0.179945 0.0861804i
\(283\) −5.08697 4.26848i −0.302389 0.253735i 0.478949 0.877843i \(-0.341018\pi\)
−0.781338 + 0.624108i \(0.785462\pi\)
\(284\) −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 0.0685112 + 0.997650i \(0.478175\pi\)
−0.898246 + 0.439493i \(0.855158\pi\)
\(294\) −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 0.974940 0.222466i \(-0.0714107\pi\)
−0.889846 + 0.456261i \(0.849188\pi\)
\(308\) −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 −0.378900 0.925438i \(-0.623697\pi\)
0.612003 + 0.790856i \(0.290364\pi\)
\(312\) −4.99066 + 1.28222i −0.282541 + 0.0725916i
\(313\) 14.5023 12.1689i 0.819718 0.687825i −0.133188 0.991091i \(-0.542521\pi\)
0.952906 + 0.303265i \(0.0980769\pi\)
\(314\) −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 −0.664604 0.747196i \(-0.731400\pi\)
−0.989404 + 0.145186i \(0.953622\pi\)
\(318\) −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 0.409294 0.912403i \(-0.365775\pi\)
−0.585517 + 0.810660i \(0.699108\pi\)
\(332\) 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 −0.391997 0.919967i \(-0.628216\pi\)
−0.683004 + 0.730415i \(0.739327\pi\)
\(338\) 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 0.181186 0.983449i \(-0.442006\pi\)
−0.166100 + 0.986109i \(0.553118\pi\)
\(348\) −3.96319 + 1.79854i −0.212449 + 0.0964117i
\(349\) 6.98873 + 12.1048i 0.374098 + 0.647957i 0.990192 0.139716i \(-0.0446190\pi\)
−0.616093 + 0.787673i \(0.711286\pi\)
\(350\) 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 −0.0538327 0.998550i \(-0.517144\pi\)
−0.891686 + 0.452654i \(0.850477\pi\)
\(354\) 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 0.0418658 + 0.999123i \(0.486670\pi\)
−0.991214 + 0.132266i \(0.957775\pi\)
\(360\) −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 0.379086 0.925361i \(-0.376238\pi\)
−0.304414 + 0.952540i \(0.598461\pi\)
\(368\) −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 −0.389116 0.921189i \(-0.627219\pi\)
0.603215 + 0.797578i \(0.293886\pi\)
\(374\) 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 \(-0.888053\pi\)
0.938791 0.344486i \(-0.111947\pi\)
\(380\) −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 0.591857 0.806043i \(-0.298395\pi\)
0.971503 + 0.237026i \(0.0761727\pi\)
\(384\) 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 0.934791 0.355199i \(-0.115587\pi\)
−0.512127 + 0.858910i \(0.671142\pi\)
\(390\) 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 0.979592 0.200997i \(-0.0644183\pi\)
−0.0278396 + 0.999612i \(0.508863\pi\)
\(398\) −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 0.756758 0.653695i \(-0.226782\pi\)
−0.512354 + 0.858774i \(0.671227\pi\)
\(402\) −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 −0.995185 0.0980100i \(-0.968752\pi\)
0.0762911 0.997086i \(-0.475692\pi\)
\(410\) 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 \(-0.844350\pi\)
0.882808 0.469733i \(-0.155650\pi\)
\(420\) 0.0428818 + 0.556153i 0.00209242 + 0.0271375i
\(421\) −11.8370 32.5219i −0.576900 1.58502i −0.793376 0.608732i \(-0.791678\pi\)
0.216476 0.976288i \(-0.430544\pi\)
\(422\) 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 0.944055 0.329788i \(-0.106977\pi\)
0.511205 + 0.859459i \(0.329199\pi\)
\(432\) −4.34661 + 2.84728i −0.209126 + 0.136990i
\(433\) −22.7212 + 4.00636i −1.09191 + 0.192534i −0.690477 0.723354i \(-0.742599\pi\)
−0.401435 + 0.915888i \(0.631488\pi\)
\(434\) −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 −0.554413 0.832242i \(-0.687057\pi\)
0.915871 + 0.401473i \(0.131502\pi\)
\(440\) 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 0.637548 + 0.770411i \(0.279949\pi\)
−0.983600 + 0.180361i \(0.942273\pi\)
\(444\) −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 0.971733 0.236084i \(-0.0758641\pi\)
−0.690321 + 0.723503i \(0.742531\pi\)
\(450\) −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 0.814798 0.579744i \(-0.196848\pi\)
0.567376 + 0.823459i \(0.307959\pi\)
\(462\) −2.03527 4.48484i −0.0946891 0.208654i
\(463\) 12.7896 + 22.1523i 0.594385 + 1.02950i 0.993633 + 0.112662i \(0.0359378\pi\)
−0.399248 + 0.916843i \(0.630729\pi\)
\(464\) −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 0.946539 0.322591i \(-0.104554\pi\)
0.193898 + 0.981022i \(0.437887\pi\)
\(468\) −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 −0.444596 0.895731i \(-0.646653\pi\)
−0.111426 + 0.993773i \(0.535542\pi\)
\(480\) −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 0.166097 0.986109i \(-0.446883\pi\)
0.937044 + 0.349210i \(0.113550\pi\)
\(488\) 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 0.963316 0.268371i \(-0.0864852\pi\)
−0.910448 + 0.413624i \(0.864263\pi\)
\(492\) 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 −0.359362 0.933198i \(-0.617006\pi\)
0.656862 0.754010i \(-0.271883\pi\)
\(500\) −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 0.943387 0.331693i \(-0.107620\pi\)
−0.490472 + 0.871457i \(0.663175\pi\)
\(504\) 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 −0.998897 0.0469483i \(-0.985050\pi\)
0.922599 0.385760i \(-0.126061\pi\)
\(510\) 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 −0.673329 0.739343i \(-0.735136\pi\)
0.976954 + 0.213449i \(0.0684697\pi\)
\(522\) −4.72533 5.87334i −0.206822 0.257069i
\(523\) 24.0581 + 28.6713i 1.05199 + 1.25371i 0.966309 + 0.257386i \(0.0828611\pi\)
0.0856778 + 0.996323i \(0.472694\pi\)
\(524\) −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 −0.500416 0.865785i \(-0.666819\pi\)
0.765736 + 0.643155i \(0.222375\pi\)
\(542\) −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 0.393386 0.919373i \(-0.371303\pi\)
0.684106 + 0.729382i \(0.260192\pi\)
\(548\) 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 −0.999407 0.0344238i \(-0.989040\pi\)
0.787718 + 0.616037i \(0.211263\pi\)
\(558\) 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 0.999350 + 0.0360479i \(0.0114769\pi\)
−0.468457 + 0.883486i \(0.655190\pi\)
\(564\) −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 0.968346 0.249613i \(-0.0803034\pi\)
−0.700344 + 0.713805i \(0.746970\pi\)
\(578\) −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 −0.951397 0.307967i \(-0.900351\pi\)
0.468497 + 0.883465i \(0.344796\pi\)
\(588\) −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 −0.0472585 0.998883i \(-0.515048\pi\)
0.297230 + 0.954806i \(0.403937\pi\)
\(594\) 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 0.143135 0.989703i \(-0.454282\pi\)
0.999522 + 0.0308999i \(0.00983730\pi\)
\(600\) 2.12447 + 8.26886i 0.0867312 + 0.337575i
\(601\) 2.01662 1.16430i 0.0822597 0.0474927i −0.458306 0.888795i \(-0.651544\pi\)
0.540566 + 0.841302i \(0.318210\pi\)
\(602\) −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 \(-0.834639\pi\)
0.868069 0.496443i \(-0.165361\pi\)
\(608\) −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 0.542958 + 0.839760i \(0.317304\pi\)
−0.797428 + 0.603414i \(0.793807\pi\)
\(614\) −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 0.933422 0.358780i \(-0.116807\pi\)
−0.515416 + 0.856940i \(0.672363\pi\)
\(618\) 25.4770 + 2.49399i 1.02483 + 0.100323i
\(619\) −15.2492 + 26.4123i −0.612916 + 1.06160i 0.377831 + 0.925875i \(0.376670\pi\)
−0.990746 + 0.135726i \(0.956663\pi\)
\(620\) 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 −0.904533 0.426403i \(-0.859781\pi\)
0.704145 0.710056i \(-0.251330\pi\)
\(632\) −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 −0.766696 0.642010i \(-0.778101\pi\)
0.940039 0.341066i \(-0.110788\pi\)
\(642\) 22.7736 + 16.2988i 0.898801 + 0.643264i
\(643\) 11.3227 4.12111i 0.446522 0.162521i −0.108966 0.994046i \(-0.534754\pi\)
0.555488 + 0.831525i \(0.312532\pi\)
\(644\) −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 \(-0.815903\pi\)
0.837362 0.546649i \(-0.184097\pi\)
\(648\) −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 −0.449536 0.893262i \(-0.648411\pi\)
0.548820 + 0.835940i \(0.315077\pi\)
\(654\) −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 −0.204245 0.978920i \(-0.565474\pi\)
−0.785699 + 0.618610i \(0.787696\pi\)
\(660\) 0.612883 + 0.894790i 0.0238564 + 0.0348297i
\(661\) 13.9832 2.46561i 0.543883 0.0959013i 0.105045 0.994467i \(-0.466501\pi\)
0.438838 + 0.898566i \(0.355390\pi\)
\(662\) −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 0.406980 0.913437i \(-0.366582\pi\)
−0.587570 + 0.809173i \(0.699915\pi\)
\(674\) −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 0.565921 0.824460i \(-0.308521\pi\)
−0.996963 + 0.0778720i \(0.975187\pi\)
\(678\) −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 0.977989 0.208655i \(-0.0669087\pi\)
−0.669696 + 0.742636i \(0.733575\pi\)
\(692\) −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 −0.0406990 0.999171i \(-0.512958\pi\)
0.991059 0.133424i \(-0.0425971\pi\)
\(702\) 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 0.336492 0.941686i \(-0.390759\pi\)
−0.347536 + 0.937667i \(0.612982\pi\)
\(710\) 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 −0.974559 0.224132i \(-0.928045\pi\)
0.602486 0.798130i \(-0.294177\pi\)
\(720\) −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 −0.947996 0.318281i \(-0.896894\pi\)
0.999684 + 0.0251476i \(0.00800557\pi\)
\(728\) −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 −0.980013 0.198935i \(-0.936252\pi\)
0.662289 + 0.749249i \(0.269585\pi\)
\(734\) 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 0.199251 0.979948i \(-0.436149\pi\)
−0.930461 + 0.366390i \(0.880593\pi\)
\(740\) −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 −0.987166 0.159700i \(-0.948947\pi\)
−0.328693 0.944437i \(-0.606608\pi\)
\(744\) 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 0.729570 0.683906i \(-0.239720\pi\)
−0.800205 + 0.599727i \(0.795276\pi\)
\(752\) −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 −0.227195 0.973849i \(-0.572955\pi\)
0.451937 + 0.892050i \(0.350733\pi\)
\(758\) 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 \(-0.929763\pi\)
0.975754 0.218870i \(-0.0702372\pi\)
\(762\) −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 −0.989166 0.146800i \(-0.953103\pi\)
−0.0271972 + 0.999630i \(0.508658\pi\)
\(770\) 0.580078 0.486743i 0.0209045 0.0175410i
\(771\) 7.66037 + 29.8157i 0.275882 +