Properties

Label 441.2.bd.a.110.36
Level $441$
Weight $2$
Character 441.110
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 110.36
Character \(\chi\) \(=\) 441.110
Dual form 441.2.bd.a.437.36

$q$-expansion

\(f(q)\) \(=\) \(q+(0.875192 - 0.0655866i) q^{2} +(1.63768 + 0.563919i) q^{3} +(-1.21600 + 0.183283i) q^{4} +(0.193683 + 0.848582i) q^{5} +(1.47027 + 0.386128i) q^{6} +(2.18345 + 1.49417i) q^{7} +(-2.76350 + 0.630751i) q^{8} +(2.36399 + 1.84704i) q^{9} +O(q^{10})\) \(q+(0.875192 - 0.0655866i) q^{2} +(1.63768 + 0.563919i) q^{3} +(-1.21600 + 0.183283i) q^{4} +(0.193683 + 0.848582i) q^{5} +(1.47027 + 0.386128i) q^{6} +(2.18345 + 1.49417i) q^{7} +(-2.76350 + 0.630751i) q^{8} +(2.36399 + 1.84704i) q^{9} +(0.225166 + 0.729969i) q^{10} +(-0.798725 + 1.65857i) q^{11} +(-2.09478 - 0.385568i) q^{12} +(0.536240 - 0.0401857i) q^{13} +(2.00894 + 1.16448i) q^{14} +(-0.161340 + 1.49893i) q^{15} +(-0.0270189 + 0.00833423i) q^{16} +(-0.957634 - 0.144340i) q^{17} +(2.19009 + 1.46147i) q^{18} +(-2.82319 - 1.62997i) q^{19} +(-0.391049 - 0.996378i) q^{20} +(2.73321 + 3.67826i) q^{21} +(-0.590258 + 1.50395i) q^{22} +(3.99347 - 3.18469i) q^{23} +(-4.88142 - 0.525423i) q^{24} +(3.82227 - 1.84071i) q^{25} +(0.466678 - 0.0703404i) q^{26} +(2.82988 + 4.35796i) q^{27} +(-2.92894 - 1.41672i) q^{28} +(-2.42698 + 0.952520i) q^{29} +(-0.0428944 + 1.32243i) q^{30} +(3.04210 + 1.75636i) q^{31} +(5.25415 - 2.06210i) q^{32} +(-2.24335 + 2.26579i) q^{33} +(-0.847581 - 0.0635174i) q^{34} +(-0.845025 + 2.14223i) q^{35} +(-3.21315 - 1.81272i) q^{36} +(-1.43960 - 3.66805i) q^{37} +(-2.57774 - 1.24137i) q^{38} +(0.900851 + 0.236585i) q^{39} +(-1.07049 - 2.22289i) q^{40} +(2.25187 - 2.08943i) q^{41} +(2.63333 + 3.03992i) q^{42} +(-3.25314 - 3.01848i) q^{43} +(0.667263 - 2.16321i) q^{44} +(-1.10950 + 2.36378i) q^{45} +(3.28618 - 3.04913i) q^{46} +(0.0375101 + 0.500538i) q^{47} +(-0.0489482 - 0.00158769i) q^{48} +(2.53493 + 6.52489i) q^{49} +(3.22449 - 1.86166i) q^{50} +(-1.48690 - 0.776411i) q^{51} +(-0.644704 + 0.147149i) q^{52} +(-10.0691 - 3.95184i) q^{53} +(2.76251 + 3.62845i) q^{54} +(-1.56213 - 0.356546i) q^{55} +(-6.97641 - 2.75192i) q^{56} +(-3.70431 - 4.26142i) q^{57} +(-2.06160 + 0.992816i) q^{58} +(-7.02130 - 6.51481i) q^{59} +(-0.0785371 - 1.85227i) q^{60} +(1.22725 - 8.14227i) q^{61} +(2.77762 + 1.33763i) q^{62} +(2.40188 + 7.56512i) q^{63} +(4.51409 - 2.17387i) q^{64} +(0.137962 + 0.447260i) q^{65} +(-1.81476 + 2.13013i) q^{66} +(4.48820 - 7.77379i) q^{67} +1.19094 q^{68} +(8.33593 - 2.96350i) q^{69} +(-0.599058 + 1.93029i) q^{70} +(-11.1322 + 8.87763i) q^{71} +(-7.69790 - 3.61320i) q^{72} +(4.26883 - 6.26122i) q^{73} +(-1.50050 - 3.11583i) q^{74} +(7.29766 - 0.859038i) q^{75} +(3.73175 + 1.46460i) q^{76} +(-4.22216 + 2.42798i) q^{77} +(0.803935 + 0.147974i) q^{78} +(-1.55542 - 2.69406i) q^{79} +(-0.0123054 - 0.0213136i) q^{80} +(2.17690 + 8.73276i) q^{81} +(1.83378 - 1.97635i) q^{82} +(-0.0843768 + 1.12593i) q^{83} +(-3.99774 - 3.97182i) q^{84} +(-0.0629933 - 0.840587i) q^{85} +(-3.04510 - 2.42839i) q^{86} +(-4.51176 + 0.191301i) q^{87} +(1.16113 - 5.08725i) q^{88} +(-0.00186201 + 0.0248468i) q^{89} +(-0.815992 + 2.14153i) q^{90} +(1.23090 + 0.713489i) q^{91} +(-4.27237 + 4.60452i) q^{92} +(3.99154 + 4.59185i) q^{93} +(0.0656571 + 0.435606i) q^{94} +(0.836357 - 2.71140i) q^{95} +(9.76747 - 0.414146i) q^{96} +(12.7595 + 7.36671i) q^{97} +(2.64650 + 5.54427i) q^{98} +(-4.95162 + 2.44556i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} + O(q^{10}) \) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} - 22q^{10} - 21q^{11} + 24q^{12} - 10q^{13} - 24q^{14} - 10q^{15} + 42q^{16} + 9q^{17} + 12q^{18} - 36q^{19} - 15q^{20} - 38q^{21} - 9q^{22} - 84q^{23} - 38q^{24} - 97q^{25} - 6q^{26} - 20q^{27} - 26q^{28} - 123q^{29} - q^{30} - 6q^{31} - 30q^{32} - 8q^{33} - q^{34} + 70q^{36} - 13q^{37} - 75q^{38} - 24q^{39} - 7q^{40} - 15q^{41} - 133q^{42} - 9q^{43} - 51q^{44} - 41q^{45} - 108q^{46} - 36q^{47} + 15q^{48} + 5q^{49} - 45q^{50} + 10q^{51} - 35q^{52} + 12q^{53} - 50q^{54} + 14q^{55} + 33q^{56} - 7q^{57} + 33q^{58} - 3q^{59} + 180q^{60} + 55q^{61} - 66q^{62} - 20q^{63} + 64q^{64} + 3q^{65} + 285q^{66} + 13q^{67} + 6q^{68} + 82q^{69} + 11q^{70} + 63q^{71} - 21q^{72} - 22q^{73} - 21q^{74} - 107q^{75} + 21q^{76} - 69q^{77} + 63q^{78} + q^{79} + 45q^{80} - 211q^{81} - 28q^{82} + 9q^{83} + 239q^{84} - 10q^{85} - 21q^{86} - 109q^{87} - 29q^{88} - 132q^{89} - 275q^{90} - 13q^{91} + 195q^{92} + 19q^{93} - 4q^{94} - 129q^{95} - 5q^{96} - 3q^{97} - 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{11}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.875192 0.0655866i 0.618855 0.0463767i 0.238386 0.971171i \(-0.423382\pi\)
0.380469 + 0.924794i \(0.375763\pi\)
\(3\) 1.63768 + 0.563919i 0.945515 + 0.325579i
\(4\) −1.21600 + 0.183283i −0.608001 + 0.0916414i
\(5\) 0.193683 + 0.848582i 0.0866178 + 0.379497i 0.999593 0.0285171i \(-0.00907850\pi\)
−0.912976 + 0.408014i \(0.866221\pi\)
\(6\) 1.47027 + 0.386128i 0.600235 + 0.157636i
\(7\) 2.18345 + 1.49417i 0.825267 + 0.564742i
\(8\) −2.76350 + 0.630751i −0.977044 + 0.223004i
\(9\) 2.36399 + 1.84704i 0.787997 + 0.615679i
\(10\) 0.225166 + 0.729969i 0.0712036 + 0.230837i
\(11\) −0.798725 + 1.65857i −0.240825 + 0.500077i −0.985990 0.166802i \(-0.946656\pi\)
0.745166 + 0.666879i \(0.232370\pi\)
\(12\) −2.09478 0.385568i −0.604710 0.111304i
\(13\) 0.536240 0.0401857i 0.148726 0.0111455i −0.000158874 1.00000i \(-0.500051\pi\)
0.148885 + 0.988854i \(0.452432\pi\)
\(14\) 2.00894 + 1.16448i 0.536911 + 0.311220i
\(15\) −0.161340 + 1.49893i −0.0416579 + 0.387021i
\(16\) −0.0270189 + 0.00833423i −0.00675473 + 0.00208356i
\(17\) −0.957634 0.144340i −0.232260 0.0350076i 0.0318807 0.999492i \(-0.489850\pi\)
−0.264141 + 0.964484i \(0.585088\pi\)
\(18\) 2.19009 + 1.46147i 0.516209 + 0.344471i
\(19\) −2.82319 1.62997i −0.647684 0.373940i 0.139884 0.990168i \(-0.455327\pi\)
−0.787568 + 0.616227i \(0.788660\pi\)
\(20\) −0.391049 0.996378i −0.0874413 0.222797i
\(21\) 2.73321 + 3.67826i 0.596434 + 0.802662i
\(22\) −0.590258 + 1.50395i −0.125843 + 0.320644i
\(23\) 3.99347 3.18469i 0.832696 0.664053i −0.111381 0.993778i \(-0.535527\pi\)
0.944077 + 0.329725i \(0.106956\pi\)
\(24\) −4.88142 0.525423i −0.996415 0.107251i
\(25\) 3.82227 1.84071i 0.764453 0.368141i
\(26\) 0.466678 0.0703404i 0.0915230 0.0137949i
\(27\) 2.82988 + 4.35796i 0.544610 + 0.838689i
\(28\) −2.92894 1.41672i −0.553517 0.267735i
\(29\) −2.42698 + 0.952520i −0.450679 + 0.176879i −0.579815 0.814748i \(-0.696875\pi\)
0.129135 + 0.991627i \(0.458780\pi\)
\(30\) −0.0428944 + 1.32243i −0.00783142 + 0.241442i
\(31\) 3.04210 + 1.75636i 0.546377 + 0.315451i 0.747660 0.664082i \(-0.231177\pi\)
−0.201282 + 0.979533i \(0.564511\pi\)
\(32\) 5.25415 2.06210i 0.928811 0.364531i
\(33\) −2.24335 + 2.26579i −0.390518 + 0.394423i
\(34\) −0.847581 0.0635174i −0.145359 0.0108931i
\(35\) −0.845025 + 2.14223i −0.142835 + 0.362103i
\(36\) −3.21315 1.81272i −0.535524 0.302120i
\(37\) −1.43960 3.66805i −0.236669 0.603023i 0.762356 0.647157i \(-0.224042\pi\)
−0.999026 + 0.0441342i \(0.985947\pi\)
\(38\) −2.57774 1.24137i −0.418164 0.201377i
\(39\) 0.900851 + 0.236585i 0.144252 + 0.0378839i
\(40\) −1.07049 2.22289i −0.169259 0.351469i
\(41\) 2.25187 2.08943i 0.351683 0.326314i −0.484473 0.874806i \(-0.660989\pi\)
0.836156 + 0.548492i \(0.184798\pi\)
\(42\) 2.63333 + 3.03992i 0.406331 + 0.469070i
\(43\) −3.25314 3.01848i −0.496100 0.460313i 0.391999 0.919966i \(-0.371784\pi\)
−0.888099 + 0.459652i \(0.847974\pi\)
\(44\) 0.667263 2.16321i 0.100594 0.326117i
\(45\) −1.10950 + 2.36378i −0.165394 + 0.352371i
\(46\) 3.28618 3.04913i 0.484521 0.449570i
\(47\) 0.0375101 + 0.500538i 0.00547141 + 0.0730109i 0.999271 0.0381746i \(-0.0121543\pi\)
−0.993800 + 0.111185i \(0.964535\pi\)
\(48\) −0.0489482 0.00158769i −0.00706506 0.000229163i
\(49\) 2.53493 + 6.52489i 0.362133 + 0.932127i
\(50\) 3.22449 1.86166i 0.456012 0.263279i
\(51\) −1.48690 0.776411i −0.208208 0.108719i
\(52\) −0.644704 + 0.147149i −0.0894043 + 0.0204059i
\(53\) −10.0691 3.95184i −1.38310 0.542828i −0.446993 0.894537i \(-0.647505\pi\)
−0.936109 + 0.351710i \(0.885600\pi\)
\(54\) 2.76251 + 3.62845i 0.375930 + 0.493769i
\(55\) −1.56213 0.356546i −0.210638 0.0480767i
\(56\) −6.97641 2.75192i −0.932263 0.367740i
\(57\) −3.70431 4.26142i −0.490648 0.564439i
\(58\) −2.06160 + 0.992816i −0.270702 + 0.130363i
\(59\) −7.02130 6.51481i −0.914095 0.848156i 0.0747349 0.997203i \(-0.476189\pi\)
−0.988830 + 0.149047i \(0.952379\pi\)
\(60\) −0.0785371 1.85227i −0.0101391 0.239127i
\(61\) 1.22725 8.14227i 0.157133 1.04251i −0.761719 0.647908i \(-0.775644\pi\)
0.918852 0.394603i \(-0.129118\pi\)
\(62\) 2.77762 + 1.33763i 0.352758 + 0.169879i
\(63\) 2.40188 + 7.56512i 0.302608 + 0.953115i
\(64\) 4.51409 2.17387i 0.564262 0.271734i
\(65\) 0.137962 + 0.447260i 0.0171120 + 0.0554758i
\(66\) −1.81476 + 2.13013i −0.223382 + 0.262201i
\(67\) 4.48820 7.77379i 0.548321 0.949720i −0.450069 0.892994i \(-0.648601\pi\)
0.998390 0.0567259i \(-0.0180661\pi\)
\(68\) 1.19094 0.144423
\(69\) 8.33593 2.96350i 1.00353 0.356764i
\(70\) −0.599058 + 1.93029i −0.0716011 + 0.230714i
\(71\) −11.1322 + 8.87763i −1.32115 + 1.05358i −0.327060 + 0.945004i \(0.606058\pi\)
−0.994088 + 0.108577i \(0.965371\pi\)
\(72\) −7.69790 3.61320i −0.907207 0.425820i
\(73\) 4.26883 6.26122i 0.499628 0.732820i −0.490736 0.871309i \(-0.663272\pi\)
0.990364 + 0.138488i \(0.0442243\pi\)
\(74\) −1.50050 3.11583i −0.174430 0.362208i
\(75\) 7.29766 0.859038i 0.842661 0.0991932i
\(76\) 3.73175 + 1.46460i 0.428061 + 0.168001i
\(77\) −4.22216 + 2.42798i −0.481159 + 0.276694i
\(78\) 0.803935 + 0.147974i 0.0910277 + 0.0167547i
\(79\) −1.55542 2.69406i −0.174998 0.303105i 0.765163 0.643837i \(-0.222659\pi\)
−0.940161 + 0.340732i \(0.889325\pi\)
\(80\) −0.0123054 0.0213136i −0.00137578 0.00238293i
\(81\) 2.17690 + 8.73276i 0.241878 + 0.970307i
\(82\) 1.83378 1.97635i 0.202507 0.218251i
\(83\) −0.0843768 + 1.12593i −0.00926155 + 0.123587i −0.999918 0.0127931i \(-0.995928\pi\)
0.990657 + 0.136380i \(0.0435468\pi\)
\(84\) −3.99774 3.97182i −0.436190 0.433361i
\(85\) −0.0629933 0.840587i −0.00683258 0.0911744i
\(86\) −3.04510 2.42839i −0.328362 0.261860i
\(87\) −4.51176 + 0.191301i −0.483712 + 0.0205096i
\(88\) 1.16113 5.08725i 0.123777 0.542302i
\(89\) −0.00186201 + 0.0248468i −0.000197373 + 0.00263376i −0.997302 0.0734132i \(-0.976611\pi\)
0.997104 + 0.0760469i \(0.0242299\pi\)
\(90\) −0.815992 + 2.14153i −0.0860131 + 0.225737i
\(91\) 1.23090 + 0.713489i 0.129033 + 0.0747940i
\(92\) −4.27237 + 4.60452i −0.445425 + 0.480054i
\(93\) 3.99154 + 4.59185i 0.413904 + 0.476153i
\(94\) 0.0656571 + 0.435606i 0.00677201 + 0.0449294i
\(95\) 0.836357 2.71140i 0.0858084 0.278184i
\(96\) 9.76747 0.414146i 0.996888 0.0422686i
\(97\) 12.7595 + 7.36671i 1.29553 + 0.747976i 0.979629 0.200816i \(-0.0643593\pi\)
0.315903 + 0.948792i \(0.397693\pi\)
\(98\) 2.64650 + 5.54427i 0.267336 + 0.560056i
\(99\) −4.95162 + 2.44556i −0.497656 + 0.245789i
\(100\) −4.31051 + 2.93886i −0.431051 + 0.293886i
\(101\) −0.797555 3.49431i −0.0793596 0.347697i 0.919623 0.392803i \(-0.128495\pi\)
−0.998982 + 0.0451059i \(0.985637\pi\)
\(102\) −1.35225 0.581988i −0.133892 0.0576254i
\(103\) 10.4293 2.38041i 1.02762 0.234549i 0.324703 0.945816i \(-0.394736\pi\)
0.702922 + 0.711267i \(0.251878\pi\)
\(104\) −1.45655 + 0.449287i −0.142827 + 0.0440562i
\(105\) −2.59193 + 3.03177i −0.252946 + 0.295870i
\(106\) −9.07162 2.79822i −0.881114 0.271788i
\(107\) −0.420333 0.0314996i −0.0406351 0.00304518i 0.0543970 0.998519i \(-0.482676\pi\)
−0.0950321 + 0.995474i \(0.530295\pi\)
\(108\) −4.23987 4.78061i −0.407982 0.460015i
\(109\) −0.0655251 0.874372i −0.00627617 0.0837497i 0.993186 0.116539i \(-0.0371800\pi\)
−0.999462 + 0.0327893i \(0.989561\pi\)
\(110\) −1.39055 0.209592i −0.132584 0.0199838i
\(111\) −0.289125 6.81891i −0.0274426 0.647222i
\(112\) −0.0714473 0.0221734i −0.00675113 0.00209519i
\(113\) −5.51306 + 8.08618i −0.518625 + 0.760684i −0.992805 0.119745i \(-0.961792\pi\)
0.474179 + 0.880428i \(0.342745\pi\)
\(114\) −3.52147 3.48661i −0.329816 0.326551i
\(115\) 3.47593 + 2.77196i 0.324132 + 0.258487i
\(116\) 2.77663 1.60309i 0.257804 0.148843i
\(117\) 1.34189 + 0.895458i 0.124058 + 0.0827851i
\(118\) −6.57227 5.24121i −0.605027 0.482493i
\(119\) −1.87528 1.74602i −0.171907 0.160058i
\(120\) −0.499585 4.24405i −0.0456056 0.387427i
\(121\) 4.74550 + 5.95067i 0.431409 + 0.540970i
\(122\) 0.540056 7.20655i 0.0488944 0.652450i
\(123\) 4.86611 2.15194i 0.438762 0.194034i
\(124\) −4.02111 1.57817i −0.361106 0.141724i
\(125\) 5.01574 + 6.28954i 0.448621 + 0.562553i
\(126\) 2.59827 + 6.46340i 0.231473 + 0.575806i
\(127\) −1.48323 + 1.85991i −0.131616 + 0.165041i −0.843272 0.537487i \(-0.819374\pi\)
0.711657 + 0.702528i \(0.247945\pi\)
\(128\) −5.96812 + 3.44570i −0.527512 + 0.304559i
\(129\) −3.62543 6.77781i −0.319201 0.596753i
\(130\) 0.150077 + 0.382390i 0.0131626 + 0.0335379i
\(131\) −1.96344 + 8.60241i −0.171547 + 0.751596i 0.813816 + 0.581123i \(0.197387\pi\)
−0.985362 + 0.170473i \(0.945471\pi\)
\(132\) 2.31264 3.16637i 0.201290 0.275597i
\(133\) −3.72885 7.77728i −0.323332 0.674375i
\(134\) 3.41818 7.09793i 0.295286 0.613168i
\(135\) −3.14998 + 3.24545i −0.271107 + 0.279323i
\(136\) 2.73746 0.205144i 0.234735 0.0175910i
\(137\) −18.2664 4.16919i −1.56060 0.356198i −0.646899 0.762576i \(-0.723935\pi\)
−0.913705 + 0.406378i \(0.866792\pi\)
\(138\) 7.10118 3.14036i 0.604492 0.267325i
\(139\) −2.05941 2.21952i −0.174677 0.188257i 0.639645 0.768671i \(-0.279081\pi\)
−0.814322 + 0.580414i \(0.802891\pi\)
\(140\) 0.634917 2.75984i 0.0536603 0.233249i
\(141\) −0.220833 + 0.840873i −0.0185975 + 0.0708143i
\(142\) −9.16056 + 8.49976i −0.768737 + 0.713284i
\(143\) −0.361658 + 0.921489i −0.0302433 + 0.0770587i
\(144\) −0.0792661 0.0302029i −0.00660551 0.00251691i
\(145\) −1.27836 1.87501i −0.106162 0.155711i
\(146\) 3.32539 5.75975i 0.275212 0.476680i
\(147\) 0.471892 + 12.1152i 0.0389210 + 0.999242i
\(148\) 2.42285 + 4.19650i 0.199157 + 0.344950i
\(149\) 10.0872 20.9463i 0.826378 1.71599i 0.138256 0.990396i \(-0.455850\pi\)
0.688122 0.725595i \(-0.258435\pi\)
\(150\) 6.33052 1.23045i 0.516884 0.100466i
\(151\) 5.85156 + 7.33762i 0.476193 + 0.597127i 0.960675 0.277674i \(-0.0895634\pi\)
−0.484482 + 0.874801i \(0.660992\pi\)
\(152\) 8.82998 + 2.72369i 0.716206 + 0.220920i
\(153\) −1.99724 2.11000i −0.161467 0.170584i
\(154\) −3.53596 + 2.40186i −0.284935 + 0.193548i
\(155\) −0.901209 + 2.92165i −0.0723869 + 0.234672i
\(156\) −1.13880 0.122577i −0.0911768 0.00981403i
\(157\) 1.11506 1.20175i 0.0889913 0.0959098i −0.686986 0.726671i \(-0.741067\pi\)
0.775977 + 0.630761i \(0.217257\pi\)
\(158\) −1.53798 2.25581i −0.122355 0.179462i
\(159\) −14.2615 12.1500i −1.13101 0.963560i
\(160\) 2.76750 + 4.05918i 0.218790 + 0.320906i
\(161\) 13.4780 0.986698i 1.06222 0.0777627i
\(162\) 2.47796 + 7.50007i 0.194687 + 0.589261i
\(163\) −17.4214 16.1647i −1.36455 1.26612i −0.931013 0.364986i \(-0.881074\pi\)
−0.433540 0.901134i \(-0.642736\pi\)
\(164\) −2.35532 + 2.95348i −0.183920 + 0.230628i
\(165\) −2.35721 1.46482i −0.183508 0.114036i
\(166\) 0.990939i 0.0769118i
\(167\) 1.40787 + 0.212202i 0.108944 + 0.0164207i 0.203288 0.979119i \(-0.434837\pi\)
−0.0943438 + 0.995540i \(0.530075\pi\)
\(168\) −9.87327 8.44089i −0.761740 0.651229i
\(169\) −12.5689 + 1.89445i −0.966836 + 0.145727i
\(170\) −0.110262 0.731544i −0.00845674 0.0561068i
\(171\) −3.66338 9.06777i −0.280145 0.693430i
\(172\) 4.50906 + 3.07423i 0.343813 + 0.234408i
\(173\) −2.34656 + 5.97895i −0.178406 + 0.454571i −0.991903 0.126998i \(-0.959466\pi\)
0.813497 + 0.581569i \(0.197561\pi\)
\(174\) −3.93612 + 0.463337i −0.298396 + 0.0351255i
\(175\) 11.0961 + 1.69201i 0.838783 + 0.127904i
\(176\) 0.00775778 0.0514695i 0.000584765 0.00387966i
\(177\) −7.82481 14.6286i −0.588149 1.09955i
\(178\) 0.0218679i 0.00163906i
\(179\) −0.289514 + 1.92080i −0.0216393 + 0.143567i −0.997041 0.0768653i \(-0.975509\pi\)
0.975402 + 0.220433i \(0.0707470\pi\)
\(180\) 0.915911 3.07771i 0.0682680 0.229399i
\(181\) 8.42998 + 17.5050i 0.626595 + 1.30114i 0.936599 + 0.350403i \(0.113955\pi\)
−0.310004 + 0.950735i \(0.600330\pi\)
\(182\) 1.12407 + 0.543710i 0.0833215 + 0.0403025i
\(183\) 6.60143 12.6424i 0.487991 0.934550i
\(184\) −9.02720 + 11.3198i −0.665494 + 0.834504i
\(185\) 2.83381 1.93206i 0.208346 0.142048i
\(186\) 3.79453 + 3.75696i 0.278229 + 0.275474i
\(187\) 1.00428 1.47301i 0.0734405 0.107717i
\(188\) −0.137352 0.601779i −0.0100174 0.0438893i
\(189\) −0.332613 + 13.7437i −0.0241940 + 0.999707i
\(190\) 0.554142 2.42785i 0.0402017 0.176135i
\(191\) 8.79685 + 9.48075i 0.636518 + 0.686003i 0.966113 0.258119i \(-0.0831028\pi\)
−0.329595 + 0.944122i \(0.606912\pi\)
\(192\) 8.61853 1.01452i 0.621989 0.0732169i
\(193\) −25.8774 7.98212i −1.86270 0.574566i −0.997296 0.0734840i \(-0.976588\pi\)
−0.865400 0.501082i \(-0.832936\pi\)
\(194\) 11.6502 + 5.61043i 0.836434 + 0.402806i
\(195\) −0.0262819 + 0.810268i −0.00188209 + 0.0580245i
\(196\) −4.27837 7.46966i −0.305598 0.533547i
\(197\) 15.5749i 1.10966i 0.831962 + 0.554832i \(0.187217\pi\)
−0.831962 + 0.554832i \(0.812783\pi\)
\(198\) −4.17322 + 2.46510i −0.296578 + 0.175187i
\(199\) 15.6123 + 16.8261i 1.10673 + 1.19277i 0.979615 + 0.200883i \(0.0643809\pi\)
0.127114 + 0.991888i \(0.459429\pi\)
\(200\) −9.40180 + 7.49769i −0.664808 + 0.530167i
\(201\) 11.7340 10.2000i 0.827654 0.719452i
\(202\) −0.927194 3.00589i −0.0652371 0.211494i
\(203\) −6.72242 1.54653i −0.471822 0.108545i
\(204\) 1.95038 + 0.671594i 0.136554 + 0.0470210i
\(205\) 2.20920 + 1.50621i 0.154297 + 0.105198i
\(206\) 8.97148 2.76733i 0.625073 0.192809i
\(207\) 15.3228 0.152474i 1.06501 0.0105977i
\(208\) −0.0141537 + 0.00555492i −0.000981384 + 0.000385165i
\(209\) 4.95837 3.38056i 0.342977 0.233838i
\(210\) −2.06959 + 2.82337i −0.142815 + 0.194831i
\(211\) 15.0416 + 10.2552i 1.03551 + 0.705997i 0.956754 0.290898i \(-0.0939539\pi\)
0.0787525 + 0.996894i \(0.474906\pi\)
\(212\) 12.9684 + 2.95995i 0.890672 + 0.203290i
\(213\) −23.2372 + 8.26105i −1.59219 + 0.566038i
\(214\) −0.369938 −0.0252884
\(215\) 1.93134 3.34519i 0.131717 0.228140i
\(216\) −10.5691 10.2583i −0.719139 0.697986i
\(217\) 4.01799 + 8.38033i 0.272759 + 0.568894i
\(218\) −0.114694 0.760946i −0.00776807 0.0515378i
\(219\) 10.5218 7.84660i 0.710997 0.530224i
\(220\) 1.96490 + 0.147249i 0.132474 + 0.00992753i
\(221\) −0.519322 0.0389178i −0.0349334 0.00261790i
\(222\) −0.700269 5.94889i −0.0469990 0.399264i
\(223\) 3.54321 + 23.5077i 0.237271 + 1.57419i 0.717191 + 0.696877i \(0.245428\pi\)
−0.479920 + 0.877312i \(0.659334\pi\)
\(224\) 14.5533 + 3.34808i 0.972384 + 0.223703i
\(225\) 12.4357 + 2.70846i 0.829044 + 0.180564i
\(226\) −4.29465 + 7.43855i −0.285676 + 0.494805i
\(227\) 17.9183 1.18928 0.594641 0.803991i \(-0.297294\pi\)
0.594641 + 0.803991i \(0.297294\pi\)
\(228\) 5.28549 + 4.50295i 0.350040 + 0.298215i
\(229\) −2.49705 0.569935i −0.165010 0.0376623i 0.139218 0.990262i \(-0.455541\pi\)
−0.304227 + 0.952599i \(0.598398\pi\)
\(230\) 3.22391 + 2.19803i 0.212579 + 0.144934i
\(231\) −8.28372 + 1.59529i −0.545029 + 0.104963i
\(232\) 6.10616 4.16311i 0.400889 0.273321i
\(233\) −15.0620 + 5.91138i −0.986742 + 0.387268i −0.803177 0.595740i \(-0.796859\pi\)
−0.183565 + 0.983008i \(0.558764\pi\)
\(234\) 1.23314 + 0.695688i 0.0806131 + 0.0454785i
\(235\) −0.417482 + 0.128776i −0.0272335 + 0.00840043i
\(236\) 9.73196 + 6.63514i 0.633497 + 0.431911i
\(237\) −1.02804 5.28914i −0.0667785 0.343566i
\(238\) −1.75575 1.40511i −0.113808 0.0910800i
\(239\) 4.86297 + 15.7654i 0.314560 + 1.01978i 0.965446 + 0.260602i \(0.0839211\pi\)
−0.650887 + 0.759175i \(0.725603\pi\)
\(240\) −0.00813316 0.0418440i −0.000524993 0.00270102i
\(241\) 21.8042 17.3883i 1.40453 1.12008i 0.428228 0.903671i \(-0.359138\pi\)
0.976303 0.216406i \(-0.0694334\pi\)
\(242\) 4.54351 + 4.89674i 0.292068 + 0.314774i
\(243\) −1.35951 + 15.5291i −0.0872126 + 0.996190i
\(244\) 10.1259i 0.648247i
\(245\) −5.04593 + 3.41485i −0.322372 + 0.218167i
\(246\) 4.11764 2.20252i 0.262531 0.140427i
\(247\) −1.57941 0.760603i −0.100495 0.0483960i
\(248\) −9.51467 2.93489i −0.604182 0.186365i
\(249\) −0.773116 + 1.79633i −0.0489942 + 0.113838i
\(250\) 4.80225 + 5.17559i 0.303721 + 0.327333i
\(251\) −4.31256 + 18.8946i −0.272207 + 1.19261i 0.635196 + 0.772351i \(0.280920\pi\)
−0.907402 + 0.420264i \(0.861938\pi\)
\(252\) −4.30724 8.75897i −0.271331 0.551763i
\(253\) 2.09234 + 9.16713i 0.131544 + 0.576332i
\(254\) −1.17613 + 1.72506i −0.0737969 + 0.108240i
\(255\) 0.370860 1.41213i 0.0232242 0.0884313i
\(256\) −13.2766 + 9.05184i −0.829789 + 0.565740i
\(257\) 0.820543 1.02893i 0.0511841 0.0641828i −0.755581 0.655056i \(-0.772645\pi\)
0.806765 + 0.590873i \(0.201217\pi\)
\(258\) −3.61748 5.69411i −0.225215 0.354500i
\(259\) 2.33737 10.1600i 0.145237 0.631312i
\(260\) −0.249737 0.518583i −0.0154880 0.0321612i
\(261\) −7.49670 2.23098i −0.464034 0.138094i
\(262\) −1.15419 + 7.65754i −0.0713060 + 0.473084i
\(263\) 19.0105i 1.17224i −0.810225 0.586119i \(-0.800655\pi\)
0.810225 0.586119i \(-0.199345\pi\)
\(264\) 4.77036 7.67650i 0.293595 0.472456i
\(265\) 1.40324 9.30989i 0.0862003 0.571902i
\(266\) −3.77355 6.56205i −0.231371 0.402345i
\(267\) −0.0170610 + 0.0396411i −0.00104411 + 0.00242599i
\(268\) −4.03286 + 10.2756i −0.246346 + 0.627679i
\(269\) 2.91026 + 1.98418i 0.177442 + 0.120978i 0.648784 0.760973i \(-0.275278\pi\)
−0.471342 + 0.881950i \(0.656230\pi\)
\(270\) −2.54398 + 3.04699i −0.154822 + 0.185434i
\(271\) −0.690275 4.57968i −0.0419312 0.278195i 0.958033 0.286658i \(-0.0925443\pi\)
−0.999964 + 0.00846257i \(0.997306\pi\)
\(272\) 0.0270772 0.00408123i 0.00164180 0.000247461i
\(273\) 1.61347 + 1.86259i 0.0976515 + 0.112729i
\(274\) −16.2601 2.45081i −0.982306 0.148059i
\(275\) 7.80971i 0.470943i
\(276\) −9.59334 + 5.13145i −0.577451 + 0.308877i
\(277\) 7.34745 9.21341i 0.441465 0.553580i −0.510464 0.859899i \(-0.670526\pi\)
0.951929 + 0.306320i \(0.0990976\pi\)
\(278\) −1.94795 1.80744i −0.116830 0.108403i
\(279\) 3.94744 + 9.77089i 0.236327 + 0.584968i
\(280\) 0.984011 6.45306i 0.0588059 0.385644i
\(281\) −12.9686 19.0214i −0.773639 1.13472i −0.987463 0.157848i \(-0.949544\pi\)
0.213824 0.976872i \(-0.431408\pi\)
\(282\) −0.138122 + 0.750409i −0.00822502 + 0.0446862i
\(283\) −17.1710 25.1853i −1.02071 1.49711i −0.860122 0.510088i \(-0.829613\pi\)
−0.160590 0.987021i \(-0.551340\pi\)
\(284\) 11.9096 12.8355i 0.706707 0.761650i
\(285\) 2.89870 3.96877i 0.171704 0.235090i
\(286\) −0.256083 + 0.830200i −0.0151425 + 0.0490907i
\(287\) 8.03881 1.19750i 0.474516 0.0706862i
\(288\) 16.2295 + 4.82983i 0.956334 + 0.284600i
\(289\) −15.3485 4.73439i −0.902853 0.278493i
\(290\) −1.24178 1.55715i −0.0729200 0.0914388i
\(291\) 16.7418 + 19.2596i 0.981419 + 1.12902i
\(292\) −4.04333 + 8.39605i −0.236618 + 0.491342i
\(293\) −6.61761 11.4620i −0.386605 0.669619i 0.605386 0.795932i \(-0.293019\pi\)
−0.991990 + 0.126313i \(0.959686\pi\)
\(294\) 1.20759 + 10.5722i 0.0704280 + 0.616581i
\(295\) 4.16844 7.21995i 0.242696 0.420362i
\(296\) 6.29196 + 9.22861i 0.365713 + 0.536402i
\(297\) −9.48826 + 1.21274i −0.550565 + 0.0703703i
\(298\) 7.45447 18.9937i 0.431826 1.10027i
\(299\) 2.01348 1.86824i 0.116443 0.108043i
\(300\) −8.71652 + 2.38213i −0.503248 + 0.137532i
\(301\) −2.59298 11.4514i −0.149457 0.660050i
\(302\) 5.60249 + 6.03805i 0.322387 + 0.347451i
\(303\) 0.664373 6.17233i 0.0381672 0.354591i
\(304\) 0.0898641 + 0.0205109i 0.00515406 + 0.00117638i
\(305\) 7.14708 0.535599i 0.409241 0.0306683i
\(306\) −1.88635 1.71567i −0.107836 0.0980782i
\(307\) −10.8658 + 22.5630i −0.620143 + 1.28774i 0.320147 + 0.947368i \(0.396268\pi\)
−0.940291 + 0.340373i \(0.889447\pi\)
\(308\) 4.68914 3.72627i 0.267189 0.212324i
\(309\) 18.4221 + 1.98291i 1.04800 + 0.112804i
\(310\) −0.597110 + 2.61611i −0.0339136 + 0.148585i
\(311\) 3.78516 + 9.64444i 0.214637 + 0.546886i 0.997125 0.0757800i \(-0.0241447\pi\)
−0.782488 + 0.622666i \(0.786049\pi\)
\(312\) −2.63873 0.0855899i −0.149389 0.00484557i
\(313\) −22.3137 + 12.8828i −1.26124 + 0.728180i −0.973315 0.229472i \(-0.926300\pi\)
−0.287929 + 0.957652i \(0.592967\pi\)
\(314\) 0.897071 1.12489i 0.0506247 0.0634813i
\(315\) −5.95442 + 3.50342i −0.335493 + 0.197396i
\(316\) 2.38516 + 2.99090i 0.134176 + 0.168251i
\(317\) 2.59887 + 1.01998i 0.145967 + 0.0572878i 0.437200 0.899364i \(-0.355970\pi\)
−0.291233 + 0.956652i \(0.594065\pi\)
\(318\) −13.2784 9.69826i −0.744618 0.543851i
\(319\) 0.358670 4.78612i 0.0200817 0.267971i
\(320\) 2.71901 + 3.40953i 0.151997 + 0.190599i
\(321\) −0.670607 0.288620i −0.0374296 0.0161092i
\(322\) 11.7311 1.74753i 0.653750 0.0973859i
\(323\) 2.46831 + 1.96841i 0.137341 + 0.109525i
\(324\) −4.24768 10.2201i −0.235982 0.567781i
\(325\) 1.97568 1.14066i 0.109591 0.0632725i
\(326\) −16.3073 13.0046i −0.903178 0.720261i
\(327\) 0.385766 1.46889i 0.0213329 0.0812299i
\(328\) −4.90513 + 7.19450i −0.270840 + 0.397250i
\(329\) −0.665985 + 1.14895i −0.0367170 + 0.0633435i
\(330\) −2.15908 1.12740i −0.118854 0.0620614i
\(331\) −3.72542 0.561516i −0.204767 0.0308637i 0.0458575 0.998948i \(-0.485398\pi\)
−0.250625 + 0.968084i \(0.580636\pi\)
\(332\) −0.103761 1.38460i −0.00569464 0.0759896i
\(333\) 3.37182 11.3302i 0.184774 0.620893i
\(334\) 1.24607 + 0.0933804i 0.0681822 + 0.00510955i
\(335\) 7.46598 + 2.30295i 0.407910 + 0.125824i
\(336\) −0.104504 0.0766034i −0.00570115 0.00417906i
\(337\) −1.07835 + 0.332626i −0.0587413 + 0.0181193i −0.323987 0.946062i \(-0.605023\pi\)
0.265245 + 0.964181i \(0.414547\pi\)
\(338\) −10.8759 + 2.48236i −0.591572 + 0.135022i
\(339\) −13.5886 + 10.1336i −0.738030 + 0.550384i
\(340\) 0.230665 + 1.01061i 0.0125096 + 0.0548080i
\(341\) −5.34284 + 3.64269i −0.289331 + 0.197263i
\(342\) −3.80088 7.69577i −0.205528 0.416140i
\(343\) −4.21438 + 18.0344i −0.227555 + 0.973765i
\(344\) 10.8940 + 6.28963i 0.587363 + 0.339114i
\(345\) 4.12930 + 6.49974i 0.222314 + 0.349934i
\(346\) −1.66156 + 5.38664i −0.0893259 + 0.289587i
\(347\) 1.70000 + 11.2788i 0.0912610 + 0.605477i 0.986978 + 0.160853i \(0.0514245\pi\)
−0.895717 + 0.444624i \(0.853337\pi\)
\(348\) 5.45125 1.05955i 0.292218 0.0567979i
\(349\) −0.0848461 + 0.0914424i −0.00454171 + 0.00489480i −0.735319 0.677722i \(-0.762967\pi\)
0.730777 + 0.682616i \(0.239158\pi\)
\(350\) 9.82216 + 0.753082i 0.525017 + 0.0402539i
\(351\) 1.69262 + 2.22319i 0.0903455 + 0.118665i
\(352\) −0.776481 + 10.3614i −0.0413866 + 0.552265i
\(353\) 6.36828 27.9013i 0.338950 1.48504i −0.462310 0.886718i \(-0.652979\pi\)
0.801260 0.598317i \(-0.204164\pi\)
\(354\) −7.80766 12.2897i −0.414972 0.653188i
\(355\) −9.68951 7.72713i −0.514266 0.410113i
\(356\) −0.00228978 0.0305550i −0.000121358 0.00161941i
\(357\) −2.08649 3.91694i −0.110429 0.207306i
\(358\) −0.127402 + 1.70006i −0.00673340 + 0.0898510i
\(359\) 11.2765 12.1532i 0.595153 0.641422i −0.361597 0.932334i \(-0.617768\pi\)
0.956750 + 0.290913i \(0.0939589\pi\)
\(360\) 1.57514 7.23212i 0.0830172 0.381166i
\(361\) −4.18640 7.25106i −0.220337 0.381635i
\(362\) 8.52595 + 14.7674i 0.448114 + 0.776156i
\(363\) 4.41591 + 12.4214i 0.231775 + 0.651953i
\(364\) −1.62755 0.642001i −0.0853066 0.0336500i
\(365\) 6.13996 + 2.40976i 0.321380 + 0.126132i
\(366\) 4.94835 11.4975i 0.258654 0.600982i
\(367\) 9.51045 + 19.7487i 0.496442 + 1.03087i 0.987187 + 0.159569i \(0.0510103\pi\)
−0.490745 + 0.871303i \(0.663275\pi\)
\(368\) −0.0813573 + 0.119329i −0.00424104 + 0.00622047i
\(369\) 9.18265 0.780101i 0.478030 0.0406104i
\(370\) 2.35341 1.87678i 0.122348 0.0975693i
\(371\) −16.0808 23.6736i −0.834871 1.22907i
\(372\) −5.69533 4.85212i −0.295289 0.251571i
\(373\) 3.47252 0.179800 0.0899001 0.995951i \(-0.471345\pi\)
0.0899001 + 0.995951i \(0.471345\pi\)
\(374\) 0.782331 1.35504i 0.0404534 0.0700673i
\(375\) 4.66738 + 13.1287i 0.241023 + 0.677964i
\(376\) −0.419373 1.35958i −0.0216275 0.0701147i
\(377\) −1.26317 + 0.608310i −0.0650565 + 0.0313295i
\(378\) 0.610303 + 12.0502i 0.0313906 + 0.619795i
\(379\) −16.3911 7.89353i −0.841954 0.405464i −0.0373691 0.999302i \(-0.511898\pi\)
−0.804585 + 0.593838i \(0.797612\pi\)
\(380\) −0.520058 + 3.45036i −0.0266784 + 0.177000i
\(381\) −3.47790 + 2.20952i −0.178178 + 0.113197i
\(382\) 8.32075 + 7.72052i 0.425726 + 0.395016i
\(383\) 13.8129 6.65193i 0.705805 0.339898i −0.0463124 0.998927i \(-0.514747\pi\)
0.752117 + 0.659029i \(0.229033\pi\)
\(384\) −11.7170 + 2.27741i −0.597929 + 0.116219i
\(385\) −2.87810 3.11259i −0.146681 0.158632i
\(386\) −23.1712 5.28868i −1.17938 0.269187i
\(387\) −2.11516 13.1443i −0.107520 0.668164i
\(388\) −16.8658 6.61933i −0.856230 0.336045i
\(389\) −13.4852 + 3.07791i −0.683726 + 0.156056i −0.550255 0.834997i \(-0.685470\pi\)
−0.133471 + 0.991053i \(0.542612\pi\)
\(390\) 0.0301410 + 0.710865i 0.00152625 + 0.0359960i
\(391\) −4.28396 + 2.47334i −0.216649 + 0.125082i
\(392\) −11.1208 16.4326i −0.561688 0.829972i
\(393\) −8.06656 + 12.9808i −0.406904 + 0.654793i
\(394\) 1.02150 + 13.6310i 0.0514626 + 0.686721i
\(395\) 1.98487 1.84169i 0.0998697 0.0926656i
\(396\) 5.57294 3.88136i 0.280051 0.195045i
\(397\) 7.18887 23.3057i 0.360799 1.16968i −0.575299 0.817943i \(-0.695114\pi\)
0.936098 0.351738i \(-0.114409\pi\)
\(398\) 14.7674 + 13.7021i 0.740221 + 0.686825i
\(399\) −1.72091 14.8395i −0.0861533 0.742902i
\(400\) −0.0879327 + 0.0815896i −0.00439663 + 0.00407948i
\(401\) −3.88686 8.07115i −0.194101 0.403054i 0.781091 0.624417i \(-0.214664\pi\)
−0.975191 + 0.221363i \(0.928949\pi\)
\(402\) 9.60055 9.69656i 0.478832 0.483620i
\(403\) 1.70188 + 0.819581i 0.0847766 + 0.0408262i
\(404\) 1.61027 + 4.10291i 0.0801142 + 0.204128i
\(405\) −6.98883 + 3.53866i −0.347278 + 0.175838i
\(406\) −5.98485 0.912614i −0.297023 0.0452923i
\(407\) 7.23355 + 0.542080i 0.358554 + 0.0268699i
\(408\) 4.59877 + 1.20775i 0.227673 + 0.0597924i
\(409\) −28.2013 + 11.0682i −1.39447 + 0.547287i −0.939293 0.343116i \(-0.888518\pi\)
−0.455172 + 0.890403i \(0.650422\pi\)
\(410\) 2.03226 + 1.17333i 0.100366 + 0.0579465i
\(411\) −27.5634 17.1286i −1.35960 0.844890i
\(412\) −12.2457 + 4.80608i −0.603302 + 0.236779i
\(413\) −5.59645 24.7158i −0.275383 1.21618i
\(414\) 13.4004 1.13841i 0.658592 0.0559499i
\(415\) −0.971786 + 0.146473i −0.0477031 + 0.00719008i
\(416\) 2.73462 1.31692i 0.134076 0.0645675i
\(417\) −2.12103 4.79620i −0.103867 0.234871i
\(418\) 4.11780 3.28384i 0.201408 0.160618i
\(419\) 10.9066 27.7897i 0.532824 1.35761i −0.370570 0.928804i \(-0.620838\pi\)
0.903395 0.428810i \(-0.141067\pi\)
\(420\) 2.59612 4.16169i 0.126677 0.203069i
\(421\) −10.9395 27.8733i −0.533158 1.35846i −0.903108 0.429412i \(-0.858721\pi\)
0.369951 0.929051i \(-0.379375\pi\)
\(422\) 13.8369 + 7.98874i 0.673570 + 0.388886i
\(423\) −0.835838 + 1.25255i −0.0406399 + 0.0609010i
\(424\) 30.3187 + 4.56980i 1.47240 + 0.221929i
\(425\) −3.92602 + 1.21102i −0.190440 + 0.0587429i
\(426\) −19.7952 + 8.75406i −0.959082 + 0.424136i
\(427\) 14.8456 15.9445i 0.718427 0.771611i
\(428\) 0.516898 0.0387362i 0.0249852 0.00187238i
\(429\) −1.11192 + 1.30516i −0.0536842 + 0.0630136i
\(430\) 1.47090 3.05435i 0.0709330 0.147294i
\(431\) 5.37603 + 17.4287i 0.258954 + 0.839510i 0.987921 + 0.154960i \(0.0495249\pi\)
−0.728966 + 0.684550i \(0.759999\pi\)
\(432\) −0.112780 0.0941624i −0.00542615 0.00453039i
\(433\) −5.98358 + 1.36571i −0.287553 + 0.0656320i −0.363864 0.931452i \(-0.618543\pi\)
0.0763115 + 0.997084i \(0.475686\pi\)
\(434\) 4.06615 + 7.07088i 0.195182 + 0.339413i
\(435\) −1.03619 3.79155i −0.0496814 0.181791i
\(436\) 0.239936 + 1.05123i 0.0114908 + 0.0503447i
\(437\) −16.4653 + 2.48174i −0.787640 + 0.118718i
\(438\) 8.69396 7.55737i 0.415414 0.361105i
\(439\) −39.3278 + 2.94721i −1.87701 + 0.140663i −0.963767 0.266745i \(-0.914052\pi\)
−0.913246 + 0.407408i \(0.866433\pi\)
\(440\) 4.54184 0.216524
\(441\) −6.05917 + 20.1069i −0.288532 + 0.957470i
\(442\) −0.457059 −0.0217401
\(443\) 26.3879 1.97750i 1.25373 0.0939538i 0.568745 0.822514i \(-0.307429\pi\)
0.684982 + 0.728560i \(0.259810\pi\)
\(444\) 1.60136 + 8.23881i 0.0759974 + 0.390996i
\(445\) −0.0214452 + 0.00323234i −0.00101660 + 0.000153228i
\(446\) 4.64278 + 20.3413i 0.219842 + 0.963191i
\(447\) 28.3317 28.6150i 1.34004 1.35344i
\(448\) 13.1044 + 1.99826i 0.619127 + 0.0944091i
\(449\) −26.4022 + 6.02612i −1.24600 + 0.284390i −0.794159 0.607711i \(-0.792088\pi\)
−0.451837 + 0.892101i \(0.649231\pi\)
\(450\) 11.0612 + 1.55481i 0.521431 + 0.0732946i
\(451\) 1.66684 + 5.40376i 0.0784884 + 0.254453i
\(452\) 5.22184 10.8433i 0.245614 0.510024i
\(453\) 5.44515 + 15.3165i 0.255836 + 0.719631i
\(454\) 15.6820 1.17520i 0.735993 0.0551550i
\(455\) −0.367049 + 1.18271i −0.0172075 + 0.0554463i
\(456\) 12.9247 + 9.43993i 0.605256 + 0.442065i
\(457\) −8.11133 + 2.50202i −0.379432 + 0.117039i −0.478604 0.878031i \(-0.658857\pi\)
0.0991715 + 0.995070i \(0.468381\pi\)
\(458\) −2.22278 0.335030i −0.103864 0.0156549i
\(459\) −2.08096 4.58179i −0.0971309 0.213860i
\(460\) −4.73479 2.73363i −0.220761 0.127456i
\(461\) −5.56535 14.1803i −0.259204 0.660441i 0.740731 0.671801i \(-0.234479\pi\)
−0.999935 + 0.0113600i \(0.996384\pi\)
\(462\) −7.14522 + 1.93949i −0.332426 + 0.0902333i
\(463\) 1.35588 3.45473i 0.0630132 0.160555i −0.895899 0.444257i \(-0.853468\pi\)
0.958912 + 0.283702i \(0.0915628\pi\)
\(464\) 0.0576359 0.0459631i 0.00267568 0.00213378i
\(465\) −3.12347 + 4.27651i −0.144847 + 0.198319i
\(466\) −12.7944 + 6.16146i −0.592690 + 0.285424i
\(467\) 14.2037 2.14087i 0.657271 0.0990676i 0.188065 0.982157i \(-0.439778\pi\)
0.469206 + 0.883089i \(0.344540\pi\)
\(468\) −1.79586 0.842933i −0.0830138 0.0389646i
\(469\) 21.4151 10.2676i 0.988858 0.474113i
\(470\) −0.356931 + 0.140085i −0.0164640 + 0.00646164i
\(471\) 2.50379 1.33927i 0.115369 0.0617104i
\(472\) 23.5126 + 13.5750i 1.08225 + 0.624840i
\(473\) 7.60472 2.98463i 0.349665 0.137234i
\(474\) −1.24663 4.56159i −0.0572597 0.209521i
\(475\) −13.7913 1.03351i −0.632787 0.0474208i
\(476\) 2.60036 + 1.77946i 0.119187 + 0.0815615i
\(477\) −16.5041 27.9402i −0.755672 1.27929i
\(478\) 5.29003 + 13.4788i 0.241961 + 0.616505i
\(479\) 12.2718 + 5.90979i 0.560714 + 0.270025i 0.692700 0.721226i \(-0.256421\pi\)
−0.131986 + 0.991252i \(0.542135\pi\)
\(480\) 2.24323 + 8.20828i 0.102389 + 0.374655i
\(481\) −0.919376 1.90910i −0.0419199 0.0870476i
\(482\) 17.9424 16.6481i 0.817255 0.758302i
\(483\) 22.6291 + 5.98461i 1.02966 + 0.272309i
\(484\) −6.86119 6.36625i −0.311872 0.289375i
\(485\) −3.77995 + 12.2543i −0.171639 + 0.556439i
\(486\) −0.171334 + 13.6801i −0.00777189 + 0.620541i
\(487\) −5.66412 + 5.25553i −0.256666 + 0.238151i −0.798001 0.602656i \(-0.794109\pi\)
0.541336 + 0.840806i \(0.317919\pi\)
\(488\) 1.74424 + 23.2752i 0.0789580 + 1.05362i
\(489\) −19.4151 36.2970i −0.877983 1.64141i
\(490\) −4.19219 + 3.31960i −0.189384 + 0.149964i
\(491\) −13.9522 + 8.05532i −0.629655 + 0.363532i −0.780619 0.625008i \(-0.785096\pi\)
0.150963 + 0.988539i \(0.451762\pi\)
\(492\) −5.52278 + 3.50864i −0.248986 + 0.158182i
\(493\) 2.46165 0.561855i 0.110867 0.0253047i
\(494\) −1.43217 0.562086i −0.0644365 0.0252895i
\(495\) −3.03431 3.72819i −0.136382 0.167569i
\(496\) −0.0968322 0.0221013i −0.00434789 0.000992378i
\(497\) −37.5713 + 2.75052i −1.68530 + 0.123378i
\(498\) −0.558810 + 1.62284i −0.0250409 + 0.0727213i
\(499\) 20.8587 10.0450i 0.933762 0.449676i 0.0957972 0.995401i \(-0.469460\pi\)
0.837964 + 0.545725i \(0.183746\pi\)
\(500\) −7.25191 6.72879i −0.324315 0.300921i
\(501\) 2.18598 + 1.14144i 0.0976622 + 0.0509960i
\(502\) −2.53509 + 16.8192i −0.113147 + 0.750679i
\(503\) −22.4810 10.8263i −1.00238 0.482720i −0.140634 0.990062i \(-0.544914\pi\)
−0.861745 + 0.507341i \(0.830628\pi\)
\(504\) −11.4093 19.3912i −0.508210 0.863753i
\(505\) 2.81074 1.35358i 0.125076 0.0602335i
\(506\) 2.43244 + 7.88577i 0.108135 + 0.350565i
\(507\) −21.6521 3.98532i −0.961603 0.176994i
\(508\) 1.46272 2.53351i 0.0648978 0.112406i
\(509\) −33.2081 −1.47192 −0.735962 0.677023i \(-0.763270\pi\)
−0.735962 + 0.677023i \(0.763270\pi\)
\(510\) 0.231957 1.26021i 0.0102712 0.0558032i
\(511\) 18.6761 7.29273i 0.826182 0.322612i
\(512\) −0.250099 + 0.199448i −0.0110529 + 0.00881442i
\(513\) −0.885946 16.9159i −0.0391155 0.746857i
\(514\) 0.650649 0.954327i 0.0286989 0.0420936i
\(515\) 4.03994 + 8.38902i 0.178021 + 0.369665i
\(516\) 5.65079 + 7.57735i 0.248762 + 0.333574i
\(517\) −0.860136 0.337579i −0.0378287 0.0148467i
\(518\) 1.37929 9.04527i 0.0606025 0.397426i
\(519\) −7.21457 + 8.46833i −0.316684 + 0.371719i
\(520\) −0.663366 1.14898i −0.0290905 0.0503863i
\(521\) −3.13898 5.43688i −0.137521 0.238194i 0.789036 0.614346i \(-0.210580\pi\)
−0.926558 + 0.376152i \(0.877247\pi\)
\(522\) −6.70738 1.46085i −0.293574 0.0639398i
\(523\) −8.91616 + 9.60933i −0.389876 + 0.420187i −0.897239 0.441546i \(-0.854430\pi\)
0.507362 + 0.861733i \(0.330621\pi\)
\(524\) 0.810877 10.8204i 0.0354233 0.472692i
\(525\) 17.2176 + 9.02825i 0.751439 + 0.394025i
\(526\) −1.24684 16.6379i −0.0543646 0.725445i
\(527\) −2.65971 2.12104i −0.115859 0.0923942i
\(528\) 0.0417294 0.0799158i 0.00181604 0.00347789i
\(529\) 0.687593 3.01254i 0.0298954 0.130980i
\(530\) 0.617501 8.23998i 0.0268225 0.357922i
\(531\) −4.56517 28.3696i −0.198112 1.23113i
\(532\) 5.95973 + 8.77374i 0.258387 + 0.380390i
\(533\) 1.12358 1.21093i 0.0486676 0.0524512i
\(534\) −0.0123317 + 0.0358125i −0.000533645 + 0.00154976i
\(535\) −0.0546814 0.362787i −0.00236408 0.0156847i
\(536\) −7.49981 + 24.3138i −0.323943 + 1.05020i
\(537\) −1.55731 + 2.98240i −0.0672029 + 0.128700i
\(538\) 2.67718 + 1.54567i 0.115421 + 0.0666385i
\(539\) −12.8467 1.00723i −0.553346 0.0433847i
\(540\) 3.23555 4.52380i 0.139236 0.194674i
\(541\) 18.6026 12.6831i 0.799790 0.545288i −0.0930499 0.995661i \(-0.529662\pi\)
0.892840 + 0.450374i \(0.148709\pi\)
\(542\) −0.904489 3.96282i −0.0388511 0.170218i
\(543\) 3.93418 + 33.4215i 0.168832 + 1.43425i
\(544\) −5.32919 + 1.21635i −0.228487 + 0.0521507i
\(545\) 0.729285 0.224955i 0.0312391 0.00963600i
\(546\) 1.53426 + 1.52431i 0.0656601 + 0.0652343i
\(547\) 13.5862 + 4.19078i 0.580903 + 0.179185i 0.571261 0.820769i \(-0.306454\pi\)
0.00964241 + 0.999954i \(0.496931\pi\)
\(548\) 22.9761 + 1.72182i 0.981491 + 0.0735526i
\(549\) 17.9403 16.9815i 0.765673 0.724751i
\(550\) 0.512212 + 6.83500i 0.0218408 + 0.291445i
\(551\) 8.40441 + 1.26676i 0.358040 + 0.0539658i
\(552\) −21.1671 + 13.4475i −0.900932 + 0.572365i
\(553\) 0.629199 8.20640i 0.0267563 0.348972i
\(554\) 5.82615 8.54540i 0.247530 0.363059i
\(555\) 5.73040 1.56605i 0.243242 0.0664753i
\(556\) 2.91105 + 2.32148i 0.123456 + 0.0984527i
\(557\) −23.6303 + 13.6430i −1.00125 + 0.578071i −0.908617 0.417630i \(-0.862861\pi\)
−0.0926303 + 0.995701i \(0.529527\pi\)
\(558\) 4.09561 + 8.29251i 0.173381 + 0.351050i
\(559\) −1.86577 1.48790i −0.0789135 0.0629314i
\(560\) 0.00497779 0.0649234i 0.000210350 0.00274352i
\(561\) 2.47536 1.84599i 0.104510 0.0779377i
\(562\) −12.5975 15.7968i −0.531395 0.666348i
\(563\) −1.70598 + 22.7647i −0.0718984 + 0.959418i 0.838290 + 0.545224i \(0.183555\pi\)
−0.910189 + 0.414194i \(0.864064\pi\)
\(564\) 0.114416 1.06298i 0.00481778 0.0447594i
\(565\) −7.92957 3.11213i −0.333599 0.130928i
\(566\) −16.6798 20.9158i −0.701103 0.879156i
\(567\) −8.29505 + 22.3202i −0.348359 + 0.937361i
\(568\) 25.1642 31.5549i 1.05587 1.32402i
\(569\) −24.8686 + 14.3579i −1.04255 + 0.601915i −0.920554 0.390616i \(-0.872262\pi\)
−0.121993 + 0.992531i \(0.538929\pi\)
\(570\) 2.27662 3.66356i 0.0953571 0.153449i
\(571\) −1.03346 2.63321i −0.0432490 0.110197i 0.907617 0.419799i \(-0.137899\pi\)
−0.950866 + 0.309602i \(0.899804\pi\)
\(572\) 0.270883 1.18682i 0.0113262 0.0496233i
\(573\) 9.06005 + 20.4871i 0.378489 + 0.855863i
\(574\) 6.95696 1.57528i 0.290378 0.0657510i
\(575\) 9.40203 19.5235i 0.392092 0.814187i
\(576\) 14.6865 + 3.19869i 0.611938 + 0.133279i
\(577\) −2.22621 + 0.166832i −0.0926785 + 0.00694529i −0.120989 0.992654i \(-0.538606\pi\)
0.0283101 + 0.999599i \(0.490987\pi\)
\(578\) −13.7434 3.13684i −0.571651 0.130476i
\(579\) −37.8776 27.6649i −1.57414 1.14972i
\(580\) 1.89814 + 2.04571i 0.0788160 + 0.0849434i
\(581\) −1.86656 + 2.33234i −0.0774380 + 0.0967618i
\(582\) 15.9154 + 15.7579i 0.659716 + 0.653184i
\(583\) 14.5969 13.5439i 0.604541 0.560932i
\(584\) −7.84763 + 19.9954i −0.324737 + 0.827417i
\(585\) −0.499967 + 1.31214i −0.0206711 + 0.0542503i
\(586\) −6.54344 9.59746i −0.270307 0.396467i
\(587\) 17.8571 30.9294i 0.737040 1.27659i −0.216782 0.976220i \(-0.569556\pi\)
0.953822 0.300371i \(-0.0971106\pi\)
\(588\) −2.79432 14.6456i −0.115236 0.603973i
\(589\) −5.72562 9.91706i −0.235920 0.408625i
\(590\) 3.17466 6.59224i 0.130699 0.271398i
\(591\) −8.78297 + 25.5067i −0.361283 + 1.04920i
\(592\) 0.0694669 + 0.0871087i 0.00285507 + 0.00358015i
\(593\) −17.5847 5.42417i −0.722118 0.222744i −0.0881546 0.996107i \(-0.528097\pi\)
−0.633964 + 0.773363i \(0.718573\pi\)
\(594\) −8.22452 + 1.68368i −0.337456 + 0.0690824i
\(595\) 1.11843 1.92950i 0.0458513 0.0791019i
\(596\) −8.42698 + 27.3196i −0.345183 + 1.11905i
\(597\) 16.0795 + 36.3599i 0.658088 + 1.48811i
\(598\) 1.63965 1.76712i 0.0670503 0.0722631i
\(599\) 6.69753 + 9.82347i 0.273654 + 0.401376i 0.938322 0.345762i \(-0.112380\pi\)
−0.664669 + 0.747138i \(0.731427\pi\)
\(600\) −19.6252 + 6.97695i −0.801197 + 0.284833i
\(601\) −16.7218 24.5264i −0.682097 1.00045i −0.998653 0.0518793i \(-0.983479\pi\)
0.316556 0.948574i \(-0.397474\pi\)
\(602\) −3.02041 9.85215i −0.123103 0.401544i
\(603\) 24.9686 10.0873i 1.01680 0.410786i
\(604\) −8.46036 7.85007i −0.344247 0.319415i
\(605\) −4.13050 + 5.17949i −0.167929 + 0.210576i
\(606\) 0.176632 5.44555i 0.00717518 0.221210i
\(607\) 3.72246i 0.151090i 0.997142 + 0.0755450i \(0.0240697\pi\)
−0.997142 + 0.0755450i \(0.975930\pi\)
\(608\) −18.1946 2.74240i −0.737889 0.111219i
\(609\) −10.1371 6.32363i −0.410774 0.256247i
\(610\) 6.21994 0.937505i 0.251838 0.0379585i
\(611\) 0.0402289 + 0.266901i 0.00162749 + 0.0107977i
\(612\) 2.81537 + 2.19971i 0.113805 + 0.0889180i
\(613\) 3.55251 + 2.42206i 0.143485 + 0.0978261i 0.632935 0.774205i \(-0.281850\pi\)
−0.489450 + 0.872031i \(0.662803\pi\)
\(614\) −8.02982 + 20.4597i −0.324057 + 0.825684i
\(615\) 2.76858 + 3.71250i 0.111640 + 0.149702i
\(616\) 10.1365 9.37284i 0.408410 0.377642i
\(617\) −3.39524 + 22.5259i −0.136687 + 0.906860i 0.810398 + 0.585879i \(0.199251\pi\)
−0.947086 + 0.320981i \(0.895987\pi\)
\(618\) 16.2530 + 0.527182i 0.653790 + 0.0212064i
\(619\) 38.4039i 1.54358i 0.635875 + 0.771792i \(0.280639\pi\)
−0.635875 + 0.771792i \(0.719361\pi\)
\(620\) 0.560384 3.71790i 0.0225056 0.149315i
\(621\) 25.1798 + 8.39110i 1.01043 + 0.336723i
\(622\) 3.94529 + 8.19249i 0.158192 + 0.328489i
\(623\) −0.0411909 + 0.0514696i −0.00165028 + 0.00206209i
\(624\) −0.0263118 + 0.00111563i −0.00105331 + 4.46611e-5i
\(625\) 8.85973 11.1098i 0.354389 0.444390i
\(626\) −18.6838 + 12.7384i −0.746756 + 0.509130i
\(627\) 10.0266 2.74015i 0.400423 0.109431i
\(628\) −1.13565 + 1.66570i −0.0453174 + 0.0664685i
\(629\) 0.849166 + 3.72044i 0.0338585 + 0.148344i
\(630\) −4.98148 + 3.45670i −0.198467 + 0.137718i
\(631\) 0.346874 1.51976i 0.0138089 0.0605005i −0.967554 0.252664i \(-0.918693\pi\)
0.981363 + 0.192164i \(0.0615504\pi\)
\(632\) 5.99767 + 6.46395i 0.238575 + 0.257122i
\(633\) 18.8502 + 25.2770i 0.749229 + 1.00467i
\(634\) 2.34140 + 0.722228i 0.0929891 + 0.0286833i
\(635\) −1.86557 0.898410i −0.0740328 0.0356523i
\(636\) 19.5689 + 12.1606i 0.775957 + 0.482198i
\(637\) 1.62154 + 3.39704i 0.0642477 + 0.134596i
\(638\) 4.21230i 0.166766i
\(639\) −42.7137 + 0.425036i −1.68973 + 0.0168142i
\(640\) −4.07988 4.39706i −0.161271 0.173809i
\(641\) −26.2707 + 20.9502i −1.03763 + 0.827483i −0.985246 0.171144i \(-0.945254\pi\)
−0.0523845 + 0.998627i \(0.516682\pi\)
\(642\) −0.605840 0.208615i −0.0239106 0.00823338i
\(643\) 10.3949 + 33.6994i 0.409935 + 1.32898i 0.891681 + 0.452665i \(0.149527\pi\)
−0.481746 + 0.876311i \(0.659997\pi\)
\(644\) −16.2084 + 3.67011i −0.638701 + 0.144623i
\(645\) 5.04934 4.38922i 0.198818 0.172825i
\(646\) 2.28935 + 1.56085i 0.0900732 + 0.0614109i
\(647\) 36.9639 11.4019i 1.45320 0.448254i 0.535165 0.844747i \(-0.320249\pi\)
0.918037 + 0.396494i \(0.129773\pi\)
\(648\) −11.5240 22.7599i −0.452707 0.894093i
\(649\) 16.4133 6.44176i 0.644280 0.252861i
\(650\) 1.65429 1.12788i 0.0648866 0.0442390i
\(651\) 1.85435 + 15.9901i 0.0726777 + 0.626702i
\(652\) 24.1472 + 16.4633i 0.945678 + 0.644752i
\(653\) 41.8046 + 9.54162i 1.63594 + 0.373392i 0.939048 0.343785i \(-0.111709\pi\)
0.696891 + 0.717177i \(0.254566\pi\)
\(654\) 0.241280 1.31086i 0.00943479 0.0512589i
\(655\) −7.68013 −0.300088
\(656\) −0.0434293 + 0.0752217i −0.00169563 + 0.00293692i
\(657\) 21.6562 6.91677i 0.844888 0.269849i
\(658\) −0.507510 + 1.04923i −0.0197848 + 0.0409032i
\(659\) −3.12952 20.7630i −0.121909 0.808811i −0.963308 0.268397i \(-0.913506\pi\)
0.841400 0.540413i \(-0.181732\pi\)
\(660\) 3.13484 + 1.34919i 0.122024 + 0.0525172i
\(661\) 48.1008 + 3.60466i 1.87090 + 0.140205i 0.961341 0.275360i \(-0.0887972\pi\)
0.909563 + 0.415565i \(0.136416\pi\)
\(662\) −3.29728 0.247097i −0.128153 0.00960371i
\(663\) −0.828537 0.356591i −0.0321777 0.0138488i
\(664\) −0.477006 3.16473i −0.0185114 0.122815i
\(665\) 5.87744 4.67056i 0.227917 0.181117i
\(666\) 2.20788 10.1373i 0.0855536 0.392811i
\(667\) −6.65860 + 11.5330i −0.257822 + 0.446561i
\(668\) −1.75086 −0.0677430
\(669\) −7.45378 + 40.4961i −0.288180 + 1.56567i
\(670\) 6.68522 + 1.52586i 0.258272 + 0.0589490i
\(671\) 12.5243 + 8.53891i 0.483494 + 0.329641i
\(672\) 21.9456 + 13.6900i 0.846570 + 0.528102i
\(673\) 16.5892 11.3103i 0.639467 0.435981i −0.199698 0.979857i \(-0.563996\pi\)
0.839166 + 0.543876i \(0.183044\pi\)
\(674\) −0.921946 + 0.361837i −0.0355120 + 0.0139374i
\(675\) 18.8383 + 11.4483i 0.725085 + 0.440645i
\(676\) 14.9365 4.60731i 0.574482 0.177204i
\(677\) 36.8323 + 25.1119i 1.41558 + 0.965127i 0.998414 + 0.0562976i \(0.0179296\pi\)
0.417168 + 0.908830i \(0.363023\pi\)
\(678\) −11.2280 + 9.76012i −0.431209 + 0.374835i
\(679\) 16.8527 + 35.1497i 0.646747 + 1.34892i
\(680\) 0.704282 + 2.28323i 0.0270080 + 0.0875578i
\(681\) 29.3445 + 10.1045i 1.12448 + 0.387205i
\(682\) −4.43710 + 3.53847i −0.169905 + 0.135495i
\(683\) −5.27807 5.68841i −0.201960 0.217661i 0.623948 0.781466i \(-0.285528\pi\)
−0.825908 + 0.563805i \(0.809337\pi\)
\(684\) 6.11663 + 10.3550i 0.233875 + 0.395933i
\(685\) 16.3080i 0.623098i
\(686\) −2.50558 + 16.0600i −0.0956634 + 0.613172i
\(687\) −3.76797 2.34150i −0.143757 0.0893339i
\(688\) 0.113053 + 0.0544435i 0.00431011 + 0.00207564i
\(689\) −5.55828 1.71450i −0.211754 0.0653174i
\(690\) 4.04023 + 5.41769i 0.153809 + 0.206248i
\(691\) 4.07606 + 4.39295i 0.155061 + 0.167116i 0.805804 0.592182i \(-0.201733\pi\)
−0.650744 + 0.759297i \(0.725543\pi\)
\(692\) 1.75759 7.70050i 0.0668135 0.292729i
\(693\) −14.4657 2.05877i −0.549507 0.0782062i
\(694\) 2.22757 + 9.75961i 0.0845573 + 0.370470i
\(695\) 1.48457 2.17746i 0.0563129 0.0825958i
\(696\) 12.3476 3.37446i 0.468034 0.127909i
\(697\) −2.45805 + 1.67587i −0.0931054 + 0.0634782i
\(698\) −0.0682593 + 0.0855945i −0.00258365 + 0.00323980i
\(699\) −28.0002 + 1.18722i −1.05907 + 0.0449049i
\(700\) −13.8029 0.0237712i −0.521702 0.000898466i
\(701\) −10.5822 21.9741i −0.399683 0.829950i −0.999554 0.0298537i \(-0.990496\pi\)
0.599871 0.800096i \(-0.295218\pi\)
\(702\) 1.62718 + 1.83471i 0.0614140 + 0.0692466i
\(703\) −1.91453 + 12.7021i −0.0722080 + 0.479069i
\(704\) 9.22326i 0.347615i
\(705\) −0.756321 0.0245321i −0.0284847 0.000923931i
\(706\) 3.74352 24.8367i 0.140889 0.934740i
\(707\) 3.47967 8.82135i 0.130866 0.331761i
\(708\) 12.1962 + 16.3543i 0.458360 + 0.614631i
\(709\) −7.65502 + 19.5047i −0.287490 + 0.732514i 0.712048 + 0.702131i \(0.247768\pi\)
−0.999538 + 0.0303828i \(0.990327\pi\)
\(710\) −8.98698 6.12722i −0.337275 0.229950i
\(711\) 1.29904 9.24165i 0.0487179 0.346589i
\(712\) −0.0105265 0.0698385i −0.000394496 0.00261731i
\(713\) 17.7420 2.67417i 0.664443 0.100149i
\(714\) −2.08298 3.29123i −0.0779535 0.123171i
\(715\) −0.852005 0.128419i −0.0318632 0.00480260i
\(716\) 2.38876i 0.0892722i
\(717\) −0.926404 + 28.5610i −0.0345972 + 1.06663i
\(718\) 9.07205 11.3760i 0.338566 0.424548i
\(719\) −33.6008 31.1770i −1.25310 1.16270i −0.979627 0.200824i \(-0.935638\pi\)
−0.273470 0.961881i \(-0.588171\pi\)
\(720\) 0.0102771 0.0731136i 0.000383007 0.00272478i
\(721\) 26.3285 + 10.3855i 0.980525 + 0.386778i
\(722\) −4.13948 6.07150i −0.154056 0.225958i
\(723\) 45.5139 16.1806i 1.69268 0.601763i
\(724\) −13.4592 19.7411i −0.500208 0.733671i
\(725\) −7.52326 + 8.10815i −0.279407 + 0.301129i
\(726\) 4.67945 + 10.5815i 0.173671 + 0.392715i
\(727\) −3.13071 + 10.1495i −0.116112 + 0.376424i −0.994910 0.100769i \(-0.967870\pi\)
0.878798 + 0.477193i \(0.158346\pi\)
\(728\) −3.85162 1.19534i −0.142751 0.0443021i
\(729\) −10.9836 + 24.6650i −0.406799 + 0.913518i
\(730\) 5.53169 + 1.70630i 0.204737 + 0.0631530i
\(731\) 2.67963 + 3.36016i 0.0991099 + 0.124280i
\(732\) −5.71022 + 16.5831i −0.211056 + 0.612927i
\(733\) −16.1436 + 33.5226i −0.596279 + 1.23819i 0.356436 + 0.934320i \(0.383992\pi\)
−0.952715 + 0.303866i \(0.901722\pi\)
\(734\) 9.61873 + 16.6601i 0.355034 + 0.614936i
\(735\) −10.1893 + 2.74694i −0.375838 + 0.101323i
\(736\) 14.4151 24.9677i 0.531349 0.920323i
\(737\) 9.30853 + 13.6531i 0.342884 + 0.502919i
\(738\) 7.98542 1.28500i 0.293948 0.0473014i
\(739\) 5.18661 13.2153i 0.190792 0.486131i −0.803183 0.595732i \(-0.796862\pi\)
0.993976 + 0.109601i \(0.0349572\pi\)
\(740\) −3.09180 + 2.86877i −0.113657 + 0.105458i
\(741\) −2.15765 2.13628i −0.0792631 0.0784783i
\(742\) −15.6264 19.6643i −0.573664 0.721899i
\(743\) 31.0234 + 33.4353i 1.13814 + 1.22662i 0.970585 + 0.240758i \(0.0773960\pi\)
0.167553 + 0.985863i \(0.446413\pi\)
\(744\) −13.9269 10.1719i −0.510586 0.372920i
\(745\) 19.7284 + 4.50288i 0.722793 + 0.164973i
\(746\) 3.03912 0.227751i 0.111270 0.00833854i
\(747\) −2.27910 + 2.50584i −0.0833880 + 0.0916839i
\(748\) −0.951232 + 1.97525i −0.0347805 + 0.0722224i
\(749\) −0.870710 0.696825i −0.0318151 0.0254614i
\(750\) 4.94593 + 11.1840i 0.180600 + 0.408383i
\(751\) −6.78468 + 29.7256i −0.247576 + 1.08470i 0.686359 + 0.727262i \(0.259208\pi\)
−0.933936 + 0.357441i \(0.883649\pi\)
\(752\) −0.00518508 0.0132114i −0.000189080 0.000481769i
\(753\) −17.7176 + 28.5113i −0.645666 + 1.03901i
\(754\) −1.06562 + 0.615235i −0.0388075 + 0.0224055i
\(755\) −5.09322 + 6.38670i −0.185361 + 0.232436i
\(756\) −2.11453 16.7733i −0.0769046 0.610040i
\(757\) −29.9793 37.5929i −1.08962 1.36634i −0.924995 0.379980i \(-0.875931\pi\)
−0.164622 0.986357i \(-0.552640\pi\)
\(758\) −14.8631 5.83332i −0.539851 0.211876i
\(759\) −1.74294 + 16.1927i −0.0632648 + 0.587759i
\(760\) −0.601053 + 8.02049i −0.0218025 + 0.290934i
\(761\) −9.54559 11.9698i −0.346028 0.433905i 0.578113 0.815956i \(-0.303789\pi\)
−0.924141 + 0.382052i \(0.875218\pi\)
\(762\) −2.89892 + 2.16186i −0.105017 + 0.0783159i
\(763\) 1.16339 2.00706i 0.0421174 0.0726603i
\(764\) −12.4346 9.91629i −0.449869 0.358759i
\(765\) 1.40368 2.10349i 0.0507502 0.0760518i
\(766\) 11.6526 6.72766i 0.421027 0.243080i
\(767\) −4.02690 3.21135i −0.145403 0.115955i
\(768\) −26.8474 + 7.33708i −0.968771 + 0.264754i
\(769\) 15.0959 22.1416i 0.544372 0.798447i −0.451202 0.892422i \(-0.649005\pi\)
0.995575 + 0.0939743i \(0.0299572\pi\)
\(770\) −2.72303 2.53535i −0.0981313 0.0913675i
\(771\) 1.92402 1.22234i 0.0692919 0.0440213i
\(772\) 32.9299