Properties

Label 91.2.ba.a.54.7
Level $91$
Weight $2$
Character 91.54
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 54.7
Character \(\chi\) \(=\) 91.54
Dual form 91.2.ba.a.59.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.51485 - 1.51485i) q^{2} +(0.0170886 + 0.00986613i) q^{3} -2.58954i q^{4} +(-1.34505 + 0.360406i) q^{5} +(0.0408324 - 0.0109410i) q^{6} +(-0.246373 + 2.63426i) q^{7} +(-0.893066 - 0.893066i) q^{8} +(-1.49981 - 2.59774i) q^{9} +O(q^{10})\) \(q+(1.51485 - 1.51485i) q^{2} +(0.0170886 + 0.00986613i) q^{3} -2.58954i q^{4} +(-1.34505 + 0.360406i) q^{5} +(0.0408324 - 0.0109410i) q^{6} +(-0.246373 + 2.63426i) q^{7} +(-0.893066 - 0.893066i) q^{8} +(-1.49981 - 2.59774i) q^{9} +(-1.49159 + 2.58351i) q^{10} +(0.336721 - 0.0902242i) q^{11} +(0.0255487 - 0.0442517i) q^{12} +(-1.32860 + 3.35184i) q^{13} +(3.61728 + 4.36372i) q^{14} +(-0.0265409 - 0.00711162i) q^{15} +2.47336 q^{16} -0.982239 q^{17} +(-6.20717 - 1.66320i) q^{18} +(1.19250 - 4.45046i) q^{19} +(0.933286 + 3.48307i) q^{20} +(-0.0302001 + 0.0425851i) q^{21} +(0.373406 - 0.646758i) q^{22} -3.30540i q^{23} +(-0.00645018 - 0.0240724i) q^{24} +(-2.65085 + 1.53047i) q^{25} +(3.06491 + 7.09016i) q^{26} -0.118386i q^{27} +(6.82151 + 0.637994i) q^{28} +(-0.941928 - 1.63147i) q^{29} +(-0.0509786 + 0.0294325i) q^{30} +(-0.755562 + 2.81980i) q^{31} +(5.53290 - 5.53290i) q^{32} +(0.00664427 + 0.00178033i) q^{33} +(-1.48794 + 1.48794i) q^{34} +(-0.618016 - 3.63201i) q^{35} +(-6.72695 + 3.88381i) q^{36} +(5.79522 + 5.79522i) q^{37} +(-4.93532 - 8.54823i) q^{38} +(-0.0557736 + 0.0441703i) q^{39} +(1.52309 + 0.879355i) q^{40} +(0.580331 - 2.16583i) q^{41} +(0.0187614 + 0.110259i) q^{42} +(-6.47031 - 3.73564i) q^{43} +(-0.233639 - 0.871953i) q^{44} +(2.95356 + 2.95356i) q^{45} +(-5.00718 - 5.00718i) q^{46} +(-2.83465 - 10.5791i) q^{47} +(0.0422663 + 0.0244025i) q^{48} +(-6.87860 - 1.29802i) q^{49} +(-1.69721 + 6.33408i) q^{50} +(-0.0167851 - 0.00969089i) q^{51} +(8.67973 + 3.44045i) q^{52} +(3.77305 + 6.53511i) q^{53} +(-0.179337 - 0.179337i) q^{54} +(-0.420391 + 0.242713i) q^{55} +(2.57259 - 2.13254i) q^{56} +(0.0642869 - 0.0642869i) q^{57} +(-3.89831 - 1.04455i) q^{58} +(10.7864 - 10.7864i) q^{59} +(-0.0184158 + 0.0687288i) q^{60} +(-5.59044 + 3.22764i) q^{61} +(3.12700 + 5.41613i) q^{62} +(7.21262 - 3.31086i) q^{63} -11.8163i q^{64} +(0.579009 - 4.98724i) q^{65} +(0.0127620 - 0.00736814i) q^{66} +(2.61216 + 9.74870i) q^{67} +2.54355i q^{68} +(0.0326115 - 0.0564847i) q^{69} +(-6.43815 - 4.56574i) q^{70} +(2.43186 + 9.07582i) q^{71} +(-0.980528 + 3.65938i) q^{72} +(10.3048 + 2.76117i) q^{73} +17.5578 q^{74} -0.0603993 q^{75} +(-11.5246 - 3.08802i) q^{76} +(0.154714 + 0.909238i) q^{77} +(-0.0175773 + 0.151400i) q^{78} +(0.890418 - 1.54225i) q^{79} +(-3.32680 + 0.891413i) q^{80} +(-4.49825 + 7.79119i) q^{81} +(-2.40179 - 4.16002i) q^{82} +(8.33002 + 8.33002i) q^{83} +(0.110276 + 0.0782044i) q^{84} +(1.32116 - 0.354005i) q^{85} +(-15.4605 + 4.14262i) q^{86} -0.0371727i q^{87} +(-0.381291 - 0.220138i) q^{88} +(-9.61466 + 9.61466i) q^{89} +8.94839 q^{90} +(-8.50227 - 4.32566i) q^{91} -8.55946 q^{92} +(-0.0407320 + 0.0407320i) q^{93} +(-20.3198 - 11.7316i) q^{94} +6.41589i q^{95} +(0.149138 - 0.0399614i) q^{96} +(-12.6772 + 3.39684i) q^{97} +(-12.3864 + 8.45374i) q^{98} +(-0.739395 - 0.739395i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.51485 1.51485i 1.07116 1.07116i 0.0738947 0.997266i \(-0.476457\pi\)
0.997266 0.0738947i \(-0.0235429\pi\)
\(3\) 0.0170886 + 0.00986613i 0.00986613 + 0.00569621i 0.504925 0.863163i \(-0.331520\pi\)
−0.495059 + 0.868859i \(0.664853\pi\)
\(4\) 2.58954i 1.29477i
\(5\) −1.34505 + 0.360406i −0.601526 + 0.161178i −0.546716 0.837318i \(-0.684122\pi\)
−0.0548104 + 0.998497i \(0.517455\pi\)
\(6\) 0.0408324 0.0109410i 0.0166698 0.00446665i
\(7\) −0.246373 + 2.63426i −0.0931204 + 0.995655i
\(8\) −0.893066 0.893066i −0.315747 0.315747i
\(9\) −1.49981 2.59774i −0.499935 0.865913i
\(10\) −1.49159 + 2.58351i −0.471683 + 0.816979i
\(11\) 0.336721 0.0902242i 0.101525 0.0272036i −0.207699 0.978193i \(-0.566597\pi\)
0.309224 + 0.950989i \(0.399931\pi\)
\(12\) 0.0255487 0.0442517i 0.00737529 0.0127744i
\(13\) −1.32860 + 3.35184i −0.368486 + 0.929633i
\(14\) 3.61728 + 4.36372i 0.966759 + 1.16625i
\(15\) −0.0265409 0.00711162i −0.00685284 0.00183621i
\(16\) 2.47336 0.618340
\(17\) −0.982239 −0.238228 −0.119114 0.992881i \(-0.538005\pi\)
−0.119114 + 0.992881i \(0.538005\pi\)
\(18\) −6.20717 1.66320i −1.46304 0.392021i
\(19\) 1.19250 4.45046i 0.273578 1.02101i −0.683211 0.730221i \(-0.739417\pi\)
0.956789 0.290784i \(-0.0939162\pi\)
\(20\) 0.933286 + 3.48307i 0.208689 + 0.778838i
\(21\) −0.0302001 + 0.0425851i −0.00659020 + 0.00929282i
\(22\) 0.373406 0.646758i 0.0796104 0.137889i
\(23\) 3.30540i 0.689223i −0.938745 0.344612i \(-0.888011\pi\)
0.938745 0.344612i \(-0.111989\pi\)
\(24\) −0.00645018 0.0240724i −0.00131664 0.00491376i
\(25\) −2.65085 + 1.53047i −0.530170 + 0.306094i
\(26\) 3.06491 + 7.09016i 0.601079 + 1.39049i
\(27\) 0.118386i 0.0227834i
\(28\) 6.82151 + 0.637994i 1.28914 + 0.120570i
\(29\) −0.941928 1.63147i −0.174912 0.302956i 0.765219 0.643770i \(-0.222631\pi\)
−0.940131 + 0.340814i \(0.889297\pi\)
\(30\) −0.0509786 + 0.0294325i −0.00930737 + 0.00537361i
\(31\) −0.755562 + 2.81980i −0.135703 + 0.506450i 0.864291 + 0.502992i \(0.167767\pi\)
−0.999994 + 0.00345828i \(0.998899\pi\)
\(32\) 5.53290 5.53290i 0.978088 0.978088i
\(33\) 0.00664427 + 0.00178033i 0.00115662 + 0.000309915i
\(34\) −1.48794 + 1.48794i −0.255180 + 0.255180i
\(35\) −0.618016 3.63201i −0.104464 0.613921i
\(36\) −6.72695 + 3.88381i −1.12116 + 0.647301i
\(37\) 5.79522 + 5.79522i 0.952728 + 0.952728i 0.998932 0.0462036i \(-0.0147123\pi\)
−0.0462036 + 0.998932i \(0.514712\pi\)
\(38\) −4.93532 8.54823i −0.800615 1.38671i
\(39\) −0.0557736 + 0.0441703i −0.00893092 + 0.00707291i
\(40\) 1.52309 + 0.879355i 0.240821 + 0.139038i
\(41\) 0.580331 2.16583i 0.0906326 0.338245i −0.905689 0.423944i \(-0.860645\pi\)
0.996321 + 0.0856983i \(0.0273121\pi\)
\(42\) 0.0187614 + 0.110259i 0.00289495 + 0.0170133i
\(43\) −6.47031 3.73564i −0.986714 0.569679i −0.0824233 0.996597i \(-0.526266\pi\)
−0.904290 + 0.426918i \(0.859599\pi\)
\(44\) −0.233639 0.871953i −0.0352224 0.131452i
\(45\) 2.95356 + 2.95356i 0.440290 + 0.440290i
\(46\) −5.00718 5.00718i −0.738269 0.738269i
\(47\) −2.83465 10.5791i −0.413476 1.54311i −0.787868 0.615844i \(-0.788815\pi\)
0.374392 0.927271i \(-0.377852\pi\)
\(48\) 0.0422663 + 0.0244025i 0.00610062 + 0.00352219i
\(49\) −6.87860 1.29802i −0.982657 0.185432i
\(50\) −1.69721 + 6.33408i −0.240022 + 0.895774i
\(51\) −0.0167851 0.00969089i −0.00235039 0.00135700i
\(52\) 8.67973 + 3.44045i 1.20366 + 0.477105i
\(53\) 3.77305 + 6.53511i 0.518268 + 0.897667i 0.999775 + 0.0212243i \(0.00675642\pi\)
−0.481507 + 0.876442i \(0.659910\pi\)
\(54\) −0.179337 0.179337i −0.0244046 0.0244046i
\(55\) −0.420391 + 0.242713i −0.0566855 + 0.0327274i
\(56\) 2.57259 2.13254i 0.343777 0.284972i
\(57\) 0.0642869 0.0642869i 0.00851501 0.00851501i
\(58\) −3.89831 1.04455i −0.511873 0.137156i
\(59\) 10.7864 10.7864i 1.40426 1.40426i 0.618405 0.785860i \(-0.287779\pi\)
0.785860 0.618405i \(-0.212221\pi\)
\(60\) −0.0184158 + 0.0687288i −0.00237747 + 0.00887285i
\(61\) −5.59044 + 3.22764i −0.715782 + 0.413257i −0.813198 0.581987i \(-0.802276\pi\)
0.0974163 + 0.995244i \(0.468942\pi\)
\(62\) 3.12700 + 5.41613i 0.397130 + 0.687849i
\(63\) 7.21262 3.31086i 0.908705 0.417129i
\(64\) 11.8163i 1.47704i
\(65\) 0.579009 4.98724i 0.0718172 0.618591i
\(66\) 0.0127620 0.00736814i 0.00157089 0.000906956i
\(67\) 2.61216 + 9.74870i 0.319126 + 1.19099i 0.920087 + 0.391715i \(0.128118\pi\)
−0.600961 + 0.799279i \(0.705215\pi\)
\(68\) 2.54355i 0.308450i
\(69\) 0.0326115 0.0564847i 0.00392596 0.00679996i
\(70\) −6.43815 4.56574i −0.769506 0.545711i
\(71\) 2.43186 + 9.07582i 0.288608 + 1.07710i 0.946162 + 0.323693i \(0.104925\pi\)
−0.657554 + 0.753408i \(0.728409\pi\)
\(72\) −0.980528 + 3.65938i −0.115556 + 0.431262i
\(73\) 10.3048 + 2.76117i 1.20609 + 0.323170i 0.805226 0.592968i \(-0.202044\pi\)
0.400862 + 0.916138i \(0.368711\pi\)
\(74\) 17.5578 2.04105
\(75\) −0.0603993 −0.00697430
\(76\) −11.5246 3.08802i −1.32197 0.354220i
\(77\) 0.154714 + 0.909238i 0.0176313 + 0.103617i
\(78\) −0.0175773 + 0.151400i −0.00199023 + 0.0171427i
\(79\) 0.890418 1.54225i 0.100180 0.173517i −0.811579 0.584243i \(-0.801392\pi\)
0.911759 + 0.410726i \(0.134725\pi\)
\(80\) −3.32680 + 0.891413i −0.371947 + 0.0996630i
\(81\) −4.49825 + 7.79119i −0.499805 + 0.865688i
\(82\) −2.40179 4.16002i −0.265233 0.459397i
\(83\) 8.33002 + 8.33002i 0.914339 + 0.914339i 0.996610 0.0822710i \(-0.0262173\pi\)
−0.0822710 + 0.996610i \(0.526217\pi\)
\(84\) 0.110276 + 0.0782044i 0.0120321 + 0.00853279i
\(85\) 1.32116 0.354005i 0.143300 0.0383972i
\(86\) −15.4605 + 4.14262i −1.66715 + 0.446711i
\(87\) 0.0371727i 0.00398533i
\(88\) −0.381291 0.220138i −0.0406457 0.0234668i
\(89\) −9.61466 + 9.61466i −1.01915 + 1.01915i −0.0193394 + 0.999813i \(0.506156\pi\)
−0.999813 + 0.0193394i \(0.993844\pi\)
\(90\) 8.94839 0.943244
\(91\) −8.50227 4.32566i −0.891280 0.453453i
\(92\) −8.55946 −0.892386
\(93\) −0.0407320 + 0.0407320i −0.00422371 + 0.00422371i
\(94\) −20.3198 11.7316i −2.09582 1.21002i
\(95\) 6.41589i 0.658256i
\(96\) 0.149138 0.0399614i 0.0152213 0.00407854i
\(97\) −12.6772 + 3.39684i −1.28717 + 0.344897i −0.836587 0.547835i \(-0.815452\pi\)
−0.450588 + 0.892732i \(0.648786\pi\)
\(98\) −12.3864 + 8.45374i −1.25121 + 0.853957i
\(99\) −0.739395 0.739395i −0.0743120 0.0743120i
\(100\) 3.96321 + 6.86449i 0.396321 + 0.686449i
\(101\) 0.556688 0.964211i 0.0553925 0.0959426i −0.837000 0.547204i \(-0.815692\pi\)
0.892392 + 0.451261i \(0.149026\pi\)
\(102\) −0.0401072 + 0.0107467i −0.00397120 + 0.00106408i
\(103\) 3.57913 6.19923i 0.352662 0.610828i −0.634053 0.773290i \(-0.718610\pi\)
0.986715 + 0.162461i \(0.0519432\pi\)
\(104\) 4.17994 1.80689i 0.409877 0.177180i
\(105\) 0.0252728 0.0681635i 0.00246637 0.00665207i
\(106\) 15.6153 + 4.18411i 1.51669 + 0.406397i
\(107\) 13.4520 1.30046 0.650229 0.759738i \(-0.274673\pi\)
0.650229 + 0.759738i \(0.274673\pi\)
\(108\) −0.306565 −0.0294992
\(109\) 8.41418 + 2.25457i 0.805932 + 0.215949i 0.638187 0.769881i \(-0.279685\pi\)
0.167745 + 0.985830i \(0.446351\pi\)
\(110\) −0.269155 + 1.00450i −0.0256630 + 0.0957755i
\(111\) 0.0418560 + 0.156209i 0.00397280 + 0.0148267i
\(112\) −0.609370 + 6.51546i −0.0575800 + 0.615653i
\(113\) 1.70049 2.94534i 0.159969 0.277074i −0.774888 0.632098i \(-0.782194\pi\)
0.934857 + 0.355024i \(0.115527\pi\)
\(114\) 0.194770i 0.0182419i
\(115\) 1.19128 + 4.44594i 0.111088 + 0.414586i
\(116\) −4.22475 + 2.43916i −0.392258 + 0.226470i
\(117\) 10.6998 1.57576i 0.989201 0.145679i
\(118\) 32.6794i 3.00839i
\(119\) 0.241997 2.58747i 0.0221839 0.237193i
\(120\) 0.0173517 + 0.0300540i 0.00158398 + 0.00274354i
\(121\) −9.42104 + 5.43924i −0.856458 + 0.494476i
\(122\) −3.57928 + 13.3581i −0.324053 + 1.20938i
\(123\) 0.0312854 0.0312854i 0.00282091 0.00282091i
\(124\) 7.30198 + 1.95656i 0.655737 + 0.175704i
\(125\) 7.93718 7.93718i 0.709923 0.709923i
\(126\) 5.91059 15.9415i 0.526557 1.42018i
\(127\) 4.20085 2.42536i 0.372765 0.215216i −0.301901 0.953339i \(-0.597621\pi\)
0.674666 + 0.738123i \(0.264288\pi\)
\(128\) −6.83414 6.83414i −0.604058 0.604058i
\(129\) −0.0737126 0.127674i −0.00649003 0.0112411i
\(130\) −6.67780 8.43203i −0.585682 0.739538i
\(131\) −1.98825 1.14792i −0.173714 0.100294i 0.410622 0.911806i \(-0.365312\pi\)
−0.584336 + 0.811512i \(0.698645\pi\)
\(132\) 0.00461023 0.0172056i 0.000401269 0.00149756i
\(133\) 11.4298 + 4.23782i 0.991093 + 0.367465i
\(134\) 18.7249 + 10.8108i 1.61758 + 0.933911i
\(135\) 0.0426670 + 0.159235i 0.00367219 + 0.0137048i
\(136\) 0.877204 + 0.877204i 0.0752196 + 0.0752196i
\(137\) −13.3241 13.3241i −1.13835 1.13835i −0.988745 0.149609i \(-0.952198\pi\)
−0.149609 0.988745i \(-0.547802\pi\)
\(138\) −0.0361644 0.134967i −0.00307852 0.0114892i
\(139\) −13.0999 7.56325i −1.11112 0.641506i −0.172002 0.985097i \(-0.555024\pi\)
−0.939120 + 0.343590i \(0.888357\pi\)
\(140\) −9.40523 + 1.60038i −0.794887 + 0.135257i
\(141\) 0.0559341 0.208749i 0.00471050 0.0175798i
\(142\) 17.4324 + 10.0646i 1.46289 + 0.844602i
\(143\) −0.144949 + 1.24851i −0.0121213 + 0.104405i
\(144\) −3.70956 6.42514i −0.309130 0.535428i
\(145\) 1.85493 + 1.85493i 0.154044 + 0.154044i
\(146\) 19.7930 11.4275i 1.63808 0.945747i
\(147\) −0.104739 0.0900465i −0.00863876 0.00742691i
\(148\) 15.0070 15.0070i 1.23356 1.23356i
\(149\) −15.1677 4.06418i −1.24259 0.332951i −0.423120 0.906074i \(-0.639065\pi\)
−0.819469 + 0.573123i \(0.805732\pi\)
\(150\) −0.0914958 + 0.0914958i −0.00747060 + 0.00747060i
\(151\) 1.15543 4.31214i 0.0940279 0.350917i −0.902842 0.429972i \(-0.858524\pi\)
0.996870 + 0.0790547i \(0.0251902\pi\)
\(152\) −5.03953 + 2.90958i −0.408760 + 0.235998i
\(153\) 1.47317 + 2.55160i 0.119098 + 0.206285i
\(154\) 1.61173 + 1.14299i 0.129877 + 0.0921048i
\(155\) 4.06508i 0.326515i
\(156\) 0.114381 + 0.144428i 0.00915779 + 0.0115635i
\(157\) −3.77401 + 2.17892i −0.301198 + 0.173897i −0.642981 0.765882i \(-0.722303\pi\)
0.341783 + 0.939779i \(0.388969\pi\)
\(158\) −0.987426 3.68513i −0.0785554 0.293173i
\(159\) 0.148902i 0.0118087i
\(160\) −5.44796 + 9.43613i −0.430699 + 0.745992i
\(161\) 8.70726 + 0.814362i 0.686228 + 0.0641807i
\(162\) 4.98832 + 18.6167i 0.391919 + 1.46266i
\(163\) −4.03483 + 15.0582i −0.316032 + 1.17945i 0.606992 + 0.794708i \(0.292376\pi\)
−0.923025 + 0.384741i \(0.874291\pi\)
\(164\) −5.60850 1.50279i −0.437950 0.117348i
\(165\) −0.00957853 −0.000745688
\(166\) 25.2375 1.95881
\(167\) −12.6263 3.38321i −0.977053 0.261800i −0.265250 0.964180i \(-0.585454\pi\)
−0.711803 + 0.702379i \(0.752121\pi\)
\(168\) 0.0650020 0.0110606i 0.00501501 0.000853345i
\(169\) −9.46967 8.90648i −0.728436 0.685114i
\(170\) 1.46510 2.53763i 0.112368 0.194627i
\(171\) −13.3496 + 3.57703i −1.02087 + 0.273542i
\(172\) −9.67359 + 16.7551i −0.737604 + 1.27757i
\(173\) −2.22746 3.85808i −0.169351 0.293324i 0.768841 0.639440i \(-0.220834\pi\)
−0.938192 + 0.346116i \(0.887500\pi\)
\(174\) −0.0563111 0.0563111i −0.00426893 0.00426893i
\(175\) −3.37855 7.36009i −0.255394 0.556370i
\(176\) 0.832833 0.223157i 0.0627771 0.0168211i
\(177\) 0.290744 0.0779046i 0.0218536 0.00585567i
\(178\) 29.1295i 2.18335i
\(179\) −10.4308 6.02223i −0.779636 0.450123i 0.0566654 0.998393i \(-0.481953\pi\)
−0.836301 + 0.548270i \(0.815287\pi\)
\(180\) 7.64836 7.64836i 0.570075 0.570075i
\(181\) 23.4597 1.74374 0.871871 0.489735i \(-0.162907\pi\)
0.871871 + 0.489735i \(0.162907\pi\)
\(182\) −19.4324 + 6.32693i −1.44043 + 0.468984i
\(183\) −0.127377 −0.00941599
\(184\) −2.95194 + 2.95194i −0.217620 + 0.217620i
\(185\) −9.88351 5.70625i −0.726650 0.419532i
\(186\) 0.123406i 0.00904855i
\(187\) −0.330741 + 0.0886217i −0.0241862 + 0.00648066i
\(188\) −27.3949 + 7.34044i −1.99798 + 0.535357i
\(189\) 0.311859 + 0.0291671i 0.0226844 + 0.00212160i
\(190\) 9.71910 + 9.71910i 0.705098 + 0.705098i
\(191\) −5.04478 8.73782i −0.365028 0.632247i 0.623753 0.781622i \(-0.285607\pi\)
−0.988781 + 0.149375i \(0.952274\pi\)
\(192\) 0.116581 0.201925i 0.00841353 0.0145727i
\(193\) 14.5144 3.88911i 1.04477 0.279944i 0.304679 0.952455i \(-0.401451\pi\)
0.740087 + 0.672511i \(0.234784\pi\)
\(194\) −14.0583 + 24.3498i −1.00933 + 1.74821i
\(195\) 0.0590992 0.0795125i 0.00423218 0.00569401i
\(196\) −3.36128 + 17.8124i −0.240091 + 1.27232i
\(197\) −8.74176 2.34235i −0.622825 0.166885i −0.0664131 0.997792i \(-0.521156\pi\)
−0.556412 + 0.830907i \(0.687822\pi\)
\(198\) −2.24015 −0.159200
\(199\) −5.73738 −0.406712 −0.203356 0.979105i \(-0.565185\pi\)
−0.203356 + 0.979105i \(0.565185\pi\)
\(200\) 3.73420 + 1.00058i 0.264048 + 0.0707513i
\(201\) −0.0515438 + 0.192364i −0.00363562 + 0.0135683i
\(202\) −0.617337 2.30393i −0.0434357 0.162104i
\(203\) 4.52977 2.07933i 0.317927 0.145940i
\(204\) −0.0250950 + 0.0434658i −0.00175700 + 0.00304321i
\(205\) 3.12231i 0.218071i
\(206\) −3.96906 14.8127i −0.276538 1.03205i
\(207\) −8.58656 + 4.95745i −0.596807 + 0.344567i
\(208\) −3.28609 + 8.29031i −0.227850 + 0.574829i
\(209\) 1.60616i 0.111100i
\(210\) −0.0649729 0.141542i −0.00448356 0.00976732i
\(211\) −1.22030 2.11362i −0.0840090 0.145508i 0.820959 0.570986i \(-0.193439\pi\)
−0.904969 + 0.425479i \(0.860106\pi\)
\(212\) 16.9229 9.77047i 1.16227 0.671038i
\(213\) −0.0479860 + 0.179086i −0.00328795 + 0.0122708i
\(214\) 20.3778 20.3778i 1.39300 1.39300i
\(215\) 10.0493 + 2.69269i 0.685354 + 0.183640i
\(216\) −0.105726 + 0.105726i −0.00719377 + 0.00719377i
\(217\) −7.24191 2.68507i −0.491613 0.182274i
\(218\) 16.1616 9.33088i 1.09460 0.631967i
\(219\) 0.148853 + 0.148853i 0.0100586 + 0.0100586i
\(220\) 0.628514 + 1.08862i 0.0423744 + 0.0733947i
\(221\) 1.30500 3.29231i 0.0877837 0.221465i
\(222\) 0.300039 + 0.173227i 0.0201373 + 0.0116263i
\(223\) −1.13460 + 4.23437i −0.0759782 + 0.283554i −0.993453 0.114239i \(-0.963557\pi\)
0.917475 + 0.397793i \(0.130224\pi\)
\(224\) 13.2119 + 15.9382i 0.882758 + 1.06492i
\(225\) 7.95152 + 4.59081i 0.530102 + 0.306054i
\(226\) −1.88575 7.03773i −0.125439 0.468143i
\(227\) 13.1360 + 13.1360i 0.871866 + 0.871866i 0.992676 0.120809i \(-0.0385490\pi\)
−0.120809 + 0.992676i \(0.538549\pi\)
\(228\) −0.166474 0.166474i −0.0110250 0.0110250i
\(229\) 2.42113 + 9.03577i 0.159993 + 0.597100i 0.998626 + 0.0524040i \(0.0166884\pi\)
−0.838633 + 0.544696i \(0.816645\pi\)
\(230\) 8.53954 + 4.93031i 0.563081 + 0.325095i
\(231\) −0.00632681 + 0.0170641i −0.000416273 + 0.00112273i
\(232\) −0.615804 + 2.29821i −0.0404295 + 0.150885i
\(233\) −16.7047 9.64448i −1.09436 0.631831i −0.159628 0.987177i \(-0.551030\pi\)
−0.934735 + 0.355347i \(0.884363\pi\)
\(234\) 13.8216 18.5957i 0.903547 1.21564i
\(235\) 7.62551 + 13.2078i 0.497434 + 0.861580i
\(236\) −27.9317 27.9317i −1.81820 1.81820i
\(237\) 0.0304321 0.0175700i 0.00197677 0.00114129i
\(238\) −3.55304 4.28621i −0.230309 0.277834i
\(239\) −0.192645 + 0.192645i −0.0124612 + 0.0124612i −0.713310 0.700849i \(-0.752805\pi\)
0.700849 + 0.713310i \(0.252805\pi\)
\(240\) −0.0656453 0.0175896i −0.00423738 0.00113540i
\(241\) 14.3156 14.3156i 0.922151 0.922151i −0.0750302 0.997181i \(-0.523905\pi\)
0.997181 + 0.0750302i \(0.0239053\pi\)
\(242\) −6.03183 + 22.5111i −0.387741 + 1.44707i
\(243\) −0.461313 + 0.266339i −0.0295933 + 0.0170857i
\(244\) 8.35810 + 14.4767i 0.535073 + 0.926773i
\(245\) 9.71990 0.733182i 0.620981 0.0468413i
\(246\) 0.0947854i 0.00604329i
\(247\) 13.3329 + 9.90992i 0.848351 + 0.630553i
\(248\) 3.19303 1.84350i 0.202758 0.117062i
\(249\) 0.0601637 + 0.224534i 0.00381272 + 0.0142293i
\(250\) 24.0473i 1.52088i
\(251\) 0.965416 1.67215i 0.0609365 0.105545i −0.833948 0.551843i \(-0.813925\pi\)
0.894884 + 0.446298i \(0.147258\pi\)
\(252\) −8.57360 18.6774i −0.540086 1.17656i
\(253\) −0.298227 1.11300i −0.0187494 0.0699736i
\(254\) 2.68960 10.0377i 0.168760 0.629822i
\(255\) 0.0260695 + 0.00698531i 0.00163254 + 0.000437437i
\(256\) 2.92724 0.182952
\(257\) −12.5547 −0.783143 −0.391572 0.920148i \(-0.628068\pi\)
−0.391572 + 0.920148i \(0.628068\pi\)
\(258\) −0.305070 0.0817433i −0.0189928 0.00508912i
\(259\) −16.6939 + 13.8383i −1.03731 + 0.859870i
\(260\) −12.9147 1.49937i −0.800933 0.0929868i
\(261\) −2.82542 + 4.89377i −0.174889 + 0.302917i
\(262\) −4.75083 + 1.27298i −0.293507 + 0.0786450i
\(263\) −5.54102 + 9.59734i −0.341674 + 0.591797i −0.984744 0.174011i \(-0.944327\pi\)
0.643070 + 0.765808i \(0.277661\pi\)
\(264\) −0.00434382 0.00752372i −0.000267344 0.000463053i
\(265\) −7.43024 7.43024i −0.456436 0.456436i
\(266\) 23.7342 10.8948i 1.45523 0.668006i
\(267\) −0.259161 + 0.0694420i −0.0158604 + 0.00424978i
\(268\) 25.2447 6.76429i 1.54206 0.413195i
\(269\) 16.4027i 1.00009i 0.866000 + 0.500044i \(0.166683\pi\)
−0.866000 + 0.500044i \(0.833317\pi\)
\(270\) 0.305852 + 0.176583i 0.0186135 + 0.0107465i
\(271\) 0.381486 0.381486i 0.0231736 0.0231736i −0.695425 0.718599i \(-0.744784\pi\)
0.718599 + 0.695425i \(0.244784\pi\)
\(272\) −2.42943 −0.147306
\(273\) −0.102615 0.157804i −0.00621052 0.00955074i
\(274\) −40.3680 −2.43872
\(275\) −0.754513 + 0.754513i −0.0454988 + 0.0454988i
\(276\) −0.146270 0.0844488i −0.00880439 0.00508322i
\(277\) 10.4856i 0.630016i −0.949089 0.315008i \(-0.897993\pi\)
0.949089 0.315008i \(-0.102007\pi\)
\(278\) −31.3016 + 8.38724i −1.87735 + 0.503033i
\(279\) 8.45829 2.26639i 0.506385 0.135685i
\(280\) −2.69169 + 3.79555i −0.160859 + 0.226828i
\(281\) −11.0310 11.0310i −0.658057 0.658057i 0.296863 0.954920i \(-0.404059\pi\)
−0.954920 + 0.296863i \(0.904059\pi\)
\(282\) −0.231491 0.400955i −0.0137851 0.0238765i
\(283\) 14.1670 24.5380i 0.842144 1.45864i −0.0459352 0.998944i \(-0.514627\pi\)
0.888079 0.459691i \(-0.152040\pi\)
\(284\) 23.5022 6.29739i 1.39460 0.373682i
\(285\) −0.0633000 + 0.109639i −0.00374957 + 0.00649444i
\(286\) 1.67172 + 2.11088i 0.0988512 + 0.124819i
\(287\) 5.56236 + 2.06234i 0.328336 + 0.121736i
\(288\) −22.6713 6.07476i −1.33592 0.357959i
\(289\) −16.0352 −0.943247
\(290\) 5.61989 0.330011
\(291\) −0.250150 0.0670274i −0.0146640 0.00392922i
\(292\) 7.15016 26.6848i 0.418432 1.56161i
\(293\) 5.59897 + 20.8956i 0.327095 + 1.22074i 0.912189 + 0.409770i \(0.134391\pi\)
−0.585094 + 0.810966i \(0.698942\pi\)
\(294\) −0.295072 + 0.0222575i −0.0172089 + 0.00129809i
\(295\) −10.6208 + 18.3957i −0.618364 + 1.07104i
\(296\) 10.3510i 0.601642i
\(297\) −0.0106813 0.0398630i −0.000619790 0.00231309i
\(298\) −29.1335 + 16.8202i −1.68766 + 0.974369i
\(299\) 11.0792 + 4.39154i 0.640725 + 0.253969i
\(300\) 0.156406i 0.00903012i
\(301\) 11.4347 16.1241i 0.659087 0.929377i
\(302\) −4.78194 8.28256i −0.275170 0.476608i
\(303\) 0.0190261 0.0109847i 0.00109302 0.000631055i
\(304\) 2.94947 11.0076i 0.169164 0.631328i
\(305\) 6.35617 6.35617i 0.363953 0.363953i
\(306\) 6.09692 + 1.63366i 0.348538 + 0.0933904i
\(307\) −7.12305 + 7.12305i −0.406534 + 0.406534i −0.880528 0.473994i \(-0.842812\pi\)
0.473994 + 0.880528i \(0.342812\pi\)
\(308\) 2.35451 0.400639i 0.134161 0.0228285i
\(309\) 0.122325 0.0706243i 0.00695882 0.00401767i
\(310\) −6.15799 6.15799i −0.349750 0.349750i
\(311\) 8.27116 + 14.3261i 0.469015 + 0.812357i 0.999373 0.0354166i \(-0.0112758\pi\)
−0.530358 + 0.847774i \(0.677942\pi\)
\(312\) 0.0892565 + 0.0103625i 0.00505315 + 0.000586662i
\(313\) 29.9497 + 17.2915i 1.69286 + 0.977372i 0.952193 + 0.305496i \(0.0988223\pi\)
0.740664 + 0.671876i \(0.234511\pi\)
\(314\) −2.41631 + 9.01780i −0.136360 + 0.508904i
\(315\) −8.50810 + 7.05275i −0.479377 + 0.397377i
\(316\) −3.99372 2.30577i −0.224664 0.129710i
\(317\) 3.19887 + 11.9384i 0.179667 + 0.670525i 0.995710 + 0.0925337i \(0.0294966\pi\)
−0.816043 + 0.577991i \(0.803837\pi\)
\(318\) 0.225564 + 0.225564i 0.0126490 + 0.0126490i
\(319\) −0.464365 0.464365i −0.0259994 0.0259994i
\(320\) 4.25867 + 15.8936i 0.238067 + 0.888477i
\(321\) 0.229877 + 0.132720i 0.0128305 + 0.00740769i
\(322\) 14.4238 11.9566i 0.803809 0.666313i
\(323\) −1.17132 + 4.37141i −0.0651738 + 0.243232i
\(324\) 20.1756 + 11.6484i 1.12087 + 0.647133i
\(325\) −1.60798 10.9186i −0.0891947 0.605655i
\(326\) 16.6987 + 28.9231i 0.924857 + 1.60190i
\(327\) 0.121543 + 0.121543i 0.00672134 + 0.00672134i
\(328\) −2.45250 + 1.41595i −0.135417 + 0.0781829i
\(329\) 28.5663 4.86079i 1.57491 0.267984i
\(330\) −0.0145100 + 0.0145100i −0.000798752 + 0.000798752i
\(331\) 19.1095 + 5.12036i 1.05035 + 0.281441i 0.742397 0.669961i \(-0.233689\pi\)
0.307954 + 0.951401i \(0.400356\pi\)
\(332\) 21.5709 21.5709i 1.18386 1.18386i
\(333\) 6.36277 23.7462i 0.348678 1.30128i
\(334\) −24.2520 + 14.0019i −1.32701 + 0.766150i
\(335\) −7.02698 12.1711i −0.383925 0.664978i
\(336\) −0.0746957 + 0.105328i −0.00407498 + 0.00574612i
\(337\) 6.72576i 0.366376i 0.983078 + 0.183188i \(0.0586416\pi\)
−0.983078 + 0.183188i \(0.941358\pi\)
\(338\) −27.8371 + 0.853141i −1.51414 + 0.0464047i
\(339\) 0.0581181 0.0335545i 0.00315654 0.00182243i
\(340\) −0.916709 3.42121i −0.0497156 0.185541i
\(341\) 1.01766i 0.0551091i
\(342\) −14.8040 + 25.6414i −0.800511 + 1.38653i
\(343\) 5.11402 17.8002i 0.276131 0.961120i
\(344\) 2.44225 + 9.11459i 0.131677 + 0.491426i
\(345\) −0.0235067 + 0.0877283i −0.00126556 + 0.00472314i
\(346\) −9.21869 2.47014i −0.495600 0.132796i
\(347\) −13.2991 −0.713932 −0.356966 0.934117i \(-0.616189\pi\)
−0.356966 + 0.934117i \(0.616189\pi\)
\(348\) −0.0962603 −0.00516009
\(349\) 1.99671 + 0.535016i 0.106881 + 0.0286387i 0.311863 0.950127i \(-0.399047\pi\)
−0.204982 + 0.978766i \(0.565714\pi\)
\(350\) −16.2674 6.03143i −0.869530 0.322394i
\(351\) 0.396810 + 0.157287i 0.0211802 + 0.00839536i
\(352\) 1.36384 2.36225i 0.0726931 0.125908i
\(353\) −12.3813 + 3.31755i −0.658988 + 0.176575i −0.572789 0.819703i \(-0.694139\pi\)
−0.0861986 + 0.996278i \(0.527472\pi\)
\(354\) 0.322419 0.558447i 0.0171364 0.0296811i
\(355\) −6.54195 11.3310i −0.347211 0.601387i
\(356\) 24.8976 + 24.8976i 1.31957 + 1.31957i
\(357\) 0.0296637 0.0418287i 0.00156997 0.00221381i
\(358\) −24.9239 + 6.67834i −1.31727 + 0.352961i
\(359\) 2.75160 0.737290i 0.145224 0.0389127i −0.185475 0.982649i \(-0.559382\pi\)
0.330699 + 0.943736i \(0.392716\pi\)
\(360\) 5.27545i 0.278040i
\(361\) −1.93005 1.11432i −0.101582 0.0586482i
\(362\) 35.5379 35.5379i 1.86783 1.86783i
\(363\) −0.214657 −0.0112666
\(364\) −11.2015 + 22.0170i −0.587117 + 1.15400i
\(365\) −14.8557 −0.777582
\(366\) −0.192957 + 0.192957i −0.0100860 + 0.0100860i
\(367\) 5.51927 + 3.18655i 0.288104 + 0.166337i 0.637086 0.770792i \(-0.280139\pi\)
−0.348983 + 0.937129i \(0.613473\pi\)
\(368\) 8.17544i 0.426174i
\(369\) −6.49664 + 1.74077i −0.338201 + 0.0906208i
\(370\) −23.6161 + 6.32793i −1.22775 + 0.328973i
\(371\) −18.1447 + 8.32910i −0.942028 + 0.432425i
\(372\) 0.105477 + 0.105477i 0.00546874 + 0.00546874i
\(373\) −0.522080 0.904268i −0.0270323 0.0468212i 0.852193 0.523228i \(-0.175272\pi\)
−0.879225 + 0.476407i \(0.841939\pi\)
\(374\) −0.366774 + 0.635271i −0.0189654 + 0.0328491i
\(375\) 0.213945 0.0573263i 0.0110481 0.00296032i
\(376\) −6.91627 + 11.9793i −0.356679 + 0.617787i
\(377\) 6.71986 0.989632i 0.346090 0.0509686i
\(378\) 0.516603 0.428235i 0.0265712 0.0220260i
\(379\) 14.6260 + 3.91904i 0.751289 + 0.201307i 0.614090 0.789236i \(-0.289523\pi\)
0.137199 + 0.990543i \(0.456190\pi\)
\(380\) 16.6142 0.852290
\(381\) 0.0957157 0.00490366
\(382\) −20.8786 5.59440i −1.06824 0.286234i
\(383\) −2.58499 + 9.64730i −0.132087 + 0.492954i −0.999993 0.00377402i \(-0.998799\pi\)
0.867906 + 0.496728i \(0.165465\pi\)
\(384\) −0.0493596 0.184213i −0.00251887 0.00940056i
\(385\) −0.535794 1.16721i −0.0273066 0.0594867i
\(386\) 16.0957 27.8785i 0.819247 1.41898i
\(387\) 22.4109i 1.13921i
\(388\) 8.79627 + 32.8281i 0.446563 + 1.66660i
\(389\) 15.4988 8.94824i 0.785821 0.453694i −0.0526685 0.998612i \(-0.516773\pi\)
0.838489 + 0.544918i \(0.183439\pi\)
\(390\) −0.0309231 0.209976i −0.00156585 0.0106325i
\(391\) 3.24669i 0.164192i
\(392\) 4.98383 + 7.30226i 0.251721 + 0.368820i
\(393\) −0.0226510 0.0392327i −0.00114259 0.00197903i
\(394\) −16.7908 + 9.69415i −0.845906 + 0.488384i
\(395\) −0.641824 + 2.39532i −0.0322937 + 0.120522i
\(396\) −1.91469 + 1.91469i −0.0962170 + 0.0962170i
\(397\) 8.46474 + 2.26812i 0.424833 + 0.113834i 0.464900 0.885363i \(-0.346090\pi\)
−0.0400665 + 0.999197i \(0.512757\pi\)
\(398\) −8.69128 + 8.69128i −0.435654 + 0.435654i
\(399\) 0.153510 + 0.185187i 0.00768509 + 0.00927094i
\(400\) −6.55651 + 3.78540i −0.327825 + 0.189270i
\(401\) −11.9210 11.9210i −0.595305 0.595305i 0.343755 0.939059i \(-0.388301\pi\)
−0.939059 + 0.343755i \(0.888301\pi\)
\(402\) 0.213321 + 0.369484i 0.0106395 + 0.0184282i
\(403\) −8.44767 6.27889i −0.420808 0.312774i
\(404\) −2.49686 1.44157i −0.124224 0.0717206i
\(405\) 3.24239 12.1008i 0.161116 0.601292i
\(406\) 3.71205 10.0118i 0.184226 0.496877i
\(407\) 2.47424 + 1.42850i 0.122644 + 0.0708084i
\(408\) 0.00633561 + 0.0236448i 0.000313660 + 0.00117059i
\(409\) −20.7606 20.7606i −1.02654 1.02654i −0.999638 0.0269065i \(-0.991434\pi\)
−0.0269065 0.999638i \(-0.508566\pi\)
\(410\) 4.72983 + 4.72983i 0.233589 + 0.233589i
\(411\) −0.0962334 0.359148i −0.00474684 0.0177155i
\(412\) −16.0532 9.26830i −0.790883 0.456616i
\(413\) 25.7566 + 31.0715i 1.26740 + 1.52893i
\(414\) −5.49755 + 20.5172i −0.270190 + 1.00836i
\(415\) −14.2065 8.20213i −0.697370 0.402627i
\(416\) 11.1944 + 25.8964i 0.548851 + 1.26967i
\(417\) −0.149240 0.258491i −0.00730831 0.0126584i
\(418\) −2.43309 2.43309i −0.119006 0.119006i
\(419\) 1.94150 1.12093i 0.0948486 0.0547609i −0.451825 0.892106i \(-0.649227\pi\)
0.546674 + 0.837345i \(0.315894\pi\)
\(420\) −0.176512 0.0654450i −0.00861291 0.00319339i
\(421\) 5.33907 5.33907i 0.260210 0.260210i −0.564929 0.825139i \(-0.691096\pi\)
0.825139 + 0.564929i \(0.191096\pi\)
\(422\) −5.05040 1.35325i −0.245849 0.0658752i
\(423\) −23.2302 + 23.2302i −1.12949 + 1.12949i
\(424\) 2.46671 9.20587i 0.119794 0.447077i
\(425\) 2.60377 1.50329i 0.126301 0.0729201i
\(426\) 0.198597 + 0.343981i 0.00962207 + 0.0166659i
\(427\) −7.12509 15.5218i −0.344807 0.751154i
\(428\) 34.8346i 1.68380i
\(429\) −0.0147949 + 0.0199052i −0.000714305 + 0.000961032i
\(430\) 19.3021 11.1441i 0.930832 0.537416i
\(431\) −2.24648 8.38396i −0.108209 0.403841i 0.890480 0.455021i \(-0.150368\pi\)
−0.998689 + 0.0511801i \(0.983702\pi\)
\(432\) 0.292811i 0.0140879i
\(433\) 12.7738 22.1248i 0.613869 1.06325i −0.376713 0.926330i \(-0.622946\pi\)
0.990582 0.136922i \(-0.0437210\pi\)
\(434\) −15.0379 + 6.90294i −0.721841 + 0.331352i
\(435\) 0.0133973 + 0.0499993i 0.000642350 + 0.00239728i
\(436\) 5.83831 21.7889i 0.279604 1.04350i
\(437\) −14.7105 3.94168i −0.703700 0.188556i
\(438\) 0.450981 0.0215487
\(439\) −34.4632 −1.64484 −0.822421 0.568880i \(-0.807377\pi\)
−0.822421 + 0.568880i \(0.807377\pi\)
\(440\) 0.592195 + 0.158678i 0.0282318 + 0.00756469i
\(441\) 6.94464 + 19.8156i 0.330697 + 0.943599i
\(442\) −3.01048 6.96423i −0.143194 0.331255i
\(443\) 17.8457 30.9097i 0.847876 1.46857i −0.0352231 0.999379i \(-0.511214\pi\)
0.883100 0.469186i \(-0.155452\pi\)
\(444\) 0.404509 0.108388i 0.0191972 0.00514386i
\(445\) 9.46705 16.3974i 0.448781 0.777312i
\(446\) 4.69569 + 8.13318i 0.222348 + 0.385117i
\(447\) −0.219098 0.219098i −0.0103630 0.0103630i
\(448\) 31.1272 + 2.91122i 1.47062 + 0.137542i
\(449\) 5.75740 1.54269i 0.271709 0.0728041i −0.120392 0.992726i \(-0.538415\pi\)
0.392101 + 0.919922i \(0.371748\pi\)
\(450\) 18.9998 5.09097i 0.895657 0.239991i
\(451\) 0.781640i 0.0368060i
\(452\) −7.62707 4.40349i −0.358747 0.207123i
\(453\) 0.0622889 0.0622889i 0.00292659 0.00292659i
\(454\) 39.7981 1.86782
\(455\) 12.9950 + 2.75398i 0.609215 + 0.129109i
\(456\) −0.114825 −0.00537717
\(457\) 19.3234 19.3234i 0.903910 0.903910i −0.0918622 0.995772i \(-0.529282\pi\)
0.995772 + 0.0918622i \(0.0292819\pi\)
\(458\) 17.3555 + 10.0202i 0.810968 + 0.468213i
\(459\) 0.116283i 0.00542763i
\(460\) 11.5129 3.08488i 0.536793 0.143833i
\(461\) −25.4470 + 6.81851i −1.18519 + 0.317570i −0.796982 0.604004i \(-0.793571\pi\)
−0.388205 + 0.921573i \(0.626905\pi\)
\(462\) 0.0162654 + 0.0354337i 0.000756733 + 0.00164852i
\(463\) 20.1763 + 20.1763i 0.937671 + 0.937671i 0.998168 0.0604970i \(-0.0192686\pi\)
−0.0604970 + 0.998168i \(0.519269\pi\)
\(464\) −2.32973 4.03520i −0.108155 0.187330i
\(465\) 0.0401066 0.0694667i 0.00185990 0.00322144i
\(466\) −39.9151 + 10.6952i −1.84903 + 0.495446i
\(467\) 11.1697 19.3465i 0.516873 0.895251i −0.482935 0.875656i \(-0.660429\pi\)
0.999808 0.0195946i \(-0.00623757\pi\)
\(468\) −4.08050 27.7077i −0.188621 1.28079i
\(469\) −26.3241 + 4.47927i −1.21554 + 0.206833i
\(470\) 31.5593 + 8.45629i 1.45572 + 0.390060i
\(471\) −0.0859902 −0.00396222
\(472\) −19.2659 −0.886783
\(473\) −2.51574 0.674090i −0.115674 0.0309947i
\(474\) 0.0194842 0.0727158i 0.000894937 0.00333995i
\(475\) 3.65016 + 13.6226i 0.167481 + 0.625047i
\(476\) −6.70035 0.626662i −0.307110 0.0287230i
\(477\) 11.3177 19.6028i 0.518201 0.897550i
\(478\) 0.583657i 0.0266959i
\(479\) −3.98443 14.8701i −0.182053 0.679432i −0.995242 0.0974319i \(-0.968937\pi\)
0.813189 0.582000i \(-0.197729\pi\)
\(480\) −0.186196 + 0.107500i −0.00849866 + 0.00490670i
\(481\) −27.1242 + 11.7251i −1.23676 + 0.534621i
\(482\) 43.3721i 1.97554i
\(483\) 0.140761 + 0.0998233i 0.00640483 + 0.00454212i
\(484\) 14.0851 + 24.3962i 0.640233 + 1.10892i
\(485\) 15.8273 9.13787i 0.718679 0.414929i
\(486\) −0.295356 + 1.10228i −0.0133976 + 0.0500006i
\(487\) −12.8093 + 12.8093i −0.580444 + 0.580444i −0.935025 0.354581i \(-0.884623\pi\)
0.354581 + 0.935025i \(0.384623\pi\)
\(488\) 7.87512 + 2.11013i 0.356490 + 0.0955212i
\(489\) −0.217516 + 0.217516i −0.00983640 + 0.00983640i
\(490\) 13.6135 15.8348i 0.614996 0.715345i
\(491\) 17.3469 10.0153i 0.782857 0.451983i −0.0545850 0.998509i \(-0.517384\pi\)
0.837442 + 0.546527i \(0.184050\pi\)
\(492\) −0.0810148 0.0810148i −0.00365243 0.00365243i
\(493\) 0.925198 + 1.60249i 0.0416688 + 0.0721725i
\(494\) 35.2094 5.18527i 1.58414 0.233296i
\(495\) 1.26101 + 0.728043i 0.0566781 + 0.0327231i
\(496\) −1.86878 + 6.97437i −0.0839105 + 0.313158i
\(497\) −24.5072 + 4.17009i −1.09930 + 0.187054i
\(498\) 0.431274 + 0.248996i 0.0193258 + 0.0111578i
\(499\) 2.03847 + 7.60769i 0.0912546 + 0.340567i 0.996425 0.0844820i \(-0.0269236\pi\)
−0.905170 + 0.425049i \(0.860257\pi\)
\(500\) −20.5537 20.5537i −0.919188 0.919188i
\(501\) −0.182387 0.182387i −0.00814846 0.00814846i
\(502\) −1.07060 3.99552i −0.0477830 0.178329i
\(503\) 36.6569 + 21.1639i 1.63445 + 0.943650i 0.982698 + 0.185217i \(0.0592989\pi\)
0.651752 + 0.758432i \(0.274034\pi\)
\(504\) −9.39816 3.48453i −0.418627 0.155213i
\(505\) −0.401267 + 1.49755i −0.0178561 + 0.0666400i
\(506\) −2.13779 1.23426i −0.0950365 0.0548694i
\(507\) −0.0739512 0.245629i −0.00328429 0.0109087i
\(508\) −6.28057 10.8783i −0.278655 0.482645i
\(509\) 26.6734 + 26.6734i 1.18228 + 1.18228i 0.979153 + 0.203126i \(0.0651101\pi\)
0.203126 + 0.979153i \(0.434890\pi\)
\(510\) 0.0500731 0.0289097i 0.00221728 0.00128014i
\(511\) −9.81246 + 26.4653i −0.434078 + 1.17075i
\(512\) 18.1026 18.1026i 0.800029 0.800029i
\(513\) −0.526871 0.141175i −0.0232619 0.00623302i
\(514\) −19.0185 + 19.0185i −0.838872 + 0.838872i
\(515\) −2.57988 + 9.62823i −0.113683 + 0.424271i
\(516\) −0.330617 + 0.190882i −0.0145546 + 0.00840310i
\(517\) −1.90897 3.30644i −0.0839566 0.145417i
\(518\) −4.32577 + 46.2517i −0.190063 + 2.03218i
\(519\) 0.0879058i 0.00385864i
\(520\) −4.97103 + 3.93684i −0.217994 + 0.172642i
\(521\) −22.8432 + 13.1885i −1.00078 + 0.577800i −0.908479 0.417931i \(-0.862755\pi\)
−0.0923008 + 0.995731i \(0.529422\pi\)
\(522\) 3.13324 + 11.6934i 0.137138 + 0.511806i
\(523\) 14.9301i 0.652846i −0.945224 0.326423i \(-0.894157\pi\)
0.945224 0.326423i \(-0.105843\pi\)
\(524\) −2.97258 + 5.14866i −0.129858 + 0.224920i
\(525\) 0.0148808 0.159107i 0.000649450 0.00694400i
\(526\) 6.14470 + 22.9323i 0.267922 + 0.999898i
\(527\) 0.742142 2.76971i 0.0323282 0.120651i
\(528\) 0.0164337 + 0.00440339i 0.000715184 + 0.000191633i
\(529\) 12.0743 0.524971
\(530\) −22.5114 −0.977833
\(531\) −44.1976 11.8427i −1.91801 0.513930i
\(532\) 10.9740 29.5981i 0.475783 1.28324i
\(533\) 6.48848 + 4.82269i 0.281047 + 0.208894i
\(534\) −0.287396 + 0.497784i −0.0124368 + 0.0215412i
\(535\) −18.0937 + 4.84820i −0.782260 + 0.209606i
\(536\) 6.37341 11.0391i 0.275289 0.476815i
\(537\) −0.118832 0.205824i −0.00512799 0.00888194i
\(538\) 24.8476 + 24.8476i 1.07126 + 1.07126i
\(539\) −2.43328 + 0.183545i −0.104809 + 0.00790584i
\(540\) 0.412346 0.110488i 0.0177446 0.00475464i
\(541\) −17.8662 + 4.78723i −0.768127 + 0.205819i −0.621544 0.783379i \(-0.713494\pi\)
−0.146583 + 0.989198i \(0.546828\pi\)
\(542\) 1.15579i 0.0496454i
\(543\) 0.400893 + 0.231456i 0.0172040 + 0.00993272i
\(544\) −5.43463 + 5.43463i −0.233008 + 0.233008i
\(545\) −12.1301 −0.519596
\(546\) −0.394496 0.0836039i −0.0168828 0.00357792i
\(547\) −12.6324 −0.540123 −0.270062 0.962843i \(-0.587044\pi\)
−0.270062 + 0.962843i \(0.587044\pi\)
\(548\) −34.5033 + 34.5033i −1.47391 + 1.47391i
\(549\) 16.7691 + 9.68166i 0.715689 + 0.413203i
\(550\) 2.28595i 0.0974731i
\(551\) −8.38402 + 2.24649i −0.357171 + 0.0957038i
\(552\) −0.0795688 + 0.0213204i −0.00338667 + 0.000907457i
\(553\) 3.84330 + 2.72556i 0.163434 + 0.115902i
\(554\) −15.8841 15.8841i −0.674849 0.674849i
\(555\) −0.112597 0.195024i −0.00477948 0.00827831i
\(556\) −19.5853 + 33.9228i −0.830603 + 1.43865i
\(557\) 0.590694 0.158276i 0.0250285 0.00670637i −0.246283 0.969198i \(-0.579209\pi\)
0.271312 + 0.962492i \(0.412543\pi\)
\(558\) 9.37980 16.2463i 0.397078 0.687760i
\(559\) 21.1177 16.7243i 0.893183 0.707363i
\(560\) −1.52858 8.98326i −0.0645941 0.379612i
\(561\) −0.00652626 0.00174871i −0.000275539 7.38304e-5i
\(562\) −33.4208 −1.40977
\(563\) −10.8225 −0.456113 −0.228057 0.973648i \(-0.573237\pi\)
−0.228057 + 0.973648i \(0.573237\pi\)
\(564\) −0.540563 0.144844i −0.0227618 0.00609901i
\(565\) −1.22573 + 4.57450i −0.0515670 + 0.192451i
\(566\) −15.7105 58.6324i −0.660362 2.46450i
\(567\) −19.4157 13.7691i −0.815385 0.578247i
\(568\) 5.93349 10.2771i 0.248964 0.431218i
\(569\) 29.0842i 1.21927i 0.792680 + 0.609637i \(0.208685\pi\)
−0.792680 + 0.609637i \(0.791315\pi\)
\(570\) 0.0701963 + 0.261976i 0.00294020 + 0.0109730i
\(571\) 11.7038 6.75719i 0.489788 0.282779i −0.234698 0.972068i \(-0.575410\pi\)
0.724487 + 0.689289i \(0.242077\pi\)
\(572\) 3.23306 + 0.375352i 0.135181 + 0.0156943i
\(573\) 0.199090i 0.00831710i
\(574\) 11.5503 5.30200i 0.482100 0.221301i
\(575\) 5.05881 + 8.76212i 0.210967 + 0.365406i
\(576\) −30.6957 + 17.7222i −1.27899 + 0.738424i
\(577\) 2.83216 10.5697i 0.117904 0.440024i −0.881584 0.472028i \(-0.843522\pi\)
0.999488 + 0.0320036i \(0.0101888\pi\)
\(578\) −24.2909 + 24.2909i −1.01037 + 1.01037i
\(579\) 0.286401 + 0.0767409i 0.0119024 + 0.00318924i
\(580\) 4.80343 4.80343i 0.199451 0.199451i
\(581\) −23.9957 + 19.8911i −0.995510 + 0.825222i
\(582\) −0.480476 + 0.277403i −0.0199164 + 0.0114987i
\(583\) 1.86009 + 1.86009i 0.0770371 + 0.0770371i
\(584\) −6.73698 11.6688i −0.278778 0.482858i
\(585\) −13.8239 + 5.97577i −0.571550 + 0.247068i
\(586\) 40.1353 + 23.1721i 1.65798 + 0.957232i
\(587\) −7.06382 + 26.3625i −0.291555 + 1.08810i 0.652360 + 0.757909i \(0.273779\pi\)
−0.943915 + 0.330188i \(0.892888\pi\)
\(588\) −0.233179 + 0.271227i −0.00961615 + 0.0111852i
\(589\) 11.6484 + 6.72519i 0.479963 + 0.277107i
\(590\) 11.7779 + 43.9556i 0.484887 + 1.80962i
\(591\) −0.126275 0.126275i −0.00519425 0.00519425i
\(592\) 14.3337 + 14.3337i 0.589110 + 0.589110i
\(593\) −2.29583 8.56816i −0.0942785 0.351852i 0.902631 0.430416i \(-0.141633\pi\)
−0.996909 + 0.0785641i \(0.974966\pi\)
\(594\) −0.0765670 0.0442060i −0.00314158 0.00181379i
\(595\) 0.607039 + 3.56750i 0.0248862 + 0.146253i
\(596\) −10.5244 + 39.2775i −0.431095 + 1.60887i
\(597\) −0.0980441 0.0566058i −0.00401268 0.00231672i
\(598\) 23.4358 10.1308i 0.958361 0.414277i
\(599\) −10.0430 17.3949i −0.410344 0.710737i 0.584583 0.811334i \(-0.301258\pi\)
−0.994927 + 0.100597i \(0.967925\pi\)
\(600\) 0.0539405 + 0.0539405i 0.00220211 + 0.00220211i
\(601\) −10.0979 + 5.83002i −0.411902 + 0.237811i −0.691606 0.722275i \(-0.743097\pi\)
0.279705 + 0.960086i \(0.409763\pi\)
\(602\) −7.10368 41.7475i −0.289524 1.70150i
\(603\) 21.4069 21.4069i 0.871755 0.871755i
\(604\) −11.1665 2.99205i −0.454357 0.121745i
\(605\) 10.7115 10.7115i 0.435483 0.435483i
\(606\) 0.0121815 0.0454618i 0.000494838 0.00184676i
\(607\) 36.7395 21.2116i 1.49121 0.860952i 0.491263 0.871011i \(-0.336536\pi\)
0.999949 + 0.0100597i \(0.00320217\pi\)
\(608\) −18.0260 31.2219i −0.731050 1.26622i
\(609\) 0.0979225 + 0.00915837i 0.00396802 + 0.000371116i
\(610\) 19.2573i 0.779705i
\(611\) 39.2254 + 4.55400i 1.58689 + 0.184235i
\(612\) 6.60747 3.81483i 0.267091 0.154205i
\(613\) 4.55495 + 16.9993i 0.183973 + 0.686595i 0.994848 + 0.101376i \(0.0323246\pi\)
−0.810876 + 0.585219i \(0.801009\pi\)
\(614\) 21.5807i 0.870926i
\(615\) −0.0308051 + 0.0533560i −0.00124218 + 0.00215152i
\(616\) 0.673840 0.950180i 0.0271498 0.0382839i
\(617\) 2.26503 + 8.45319i 0.0911865 + 0.340313i 0.996414 0.0846152i \(-0.0269661\pi\)
−0.905227 + 0.424928i \(0.860299\pi\)
\(618\) 0.0783186 0.292289i 0.00315044 0.0117576i
\(619\) −5.89711 1.58013i −0.237025 0.0635107i 0.138351 0.990383i \(-0.455820\pi\)
−0.375376 + 0.926873i \(0.622486\pi\)
\(620\) −10.5267 −0.422762
\(621\) −0.391312 −0.0157028
\(622\) 34.2314 + 9.17228i 1.37256 + 0.367775i
\(623\) −22.9587 27.6963i −0.919820 1.10963i
\(624\) −0.137948 + 0.109249i −0.00552234 + 0.00437346i
\(625\) −0.162973 + 0.282278i −0.00651893 + 0.0112911i
\(626\) 71.5633 19.1753i 2.86024 0.766400i
\(627\) 0.0158465 0.0274470i 0.000632850 0.00109613i
\(628\) 5.64241 + 9.77294i 0.225157 + 0.389983i
\(629\) −5.69229 5.69229i −0.226966 0.226966i
\(630\) −2.20465 + 23.5724i −0.0878352 + 0.939145i
\(631\) −12.1554 + 3.25704i −0.483900 + 0.129661i −0.492518 0.870302i \(-0.663923\pi\)
0.00861795 + 0.999963i \(0.497257\pi\)
\(632\) −2.17253 + 0.582128i −0.0864187 + 0.0231558i
\(633\) 0.0481586i 0.00191413i
\(634\) 22.9306 + 13.2390i 0.910692 + 0.525788i
\(635\) −4.77625 + 4.77625i −0.189540 + 0.189540i
\(636\) 0.385587 0.0152895
\(637\) 13.4896 21.3314i 0.534479 0.845182i
\(638\) −1.40689 −0.0556992
\(639\) 19.9293 19.9293i 0.788390 0.788390i
\(640\) 11.6553 + 6.72921i 0.460718 + 0.265996i
\(641\) 6.78631i 0.268043i 0.990978 + 0.134022i \(0.0427892\pi\)
−0.990978 + 0.134022i \(0.957211\pi\)
\(642\) 0.549280 0.147179i 0.0216783 0.00580869i
\(643\) 16.9779 4.54920i 0.669541 0.179403i 0.0919931 0.995760i \(-0.470676\pi\)
0.577548 + 0.816357i \(0.304010\pi\)
\(644\) 2.10882 22.5478i 0.0830993 0.888508i
\(645\) 0.145162 + 0.145162i 0.00571574 + 0.00571574i
\(646\) 4.84767 + 8.39640i 0.190729 + 0.330352i
\(647\) 9.12424 15.8037i 0.358711 0.621306i −0.629035 0.777377i \(-0.716550\pi\)
0.987746 + 0.156071i \(0.0498830\pi\)
\(648\) 10.9753 2.94082i 0.431150 0.115526i
\(649\) 2.65881 4.60519i 0.104367 0.180769i
\(650\) −18.9759 14.1042i −0.744296 0.553212i
\(651\) −0.0972632 0.117334i −0.00381204 0.00459867i
\(652\) 38.9938 + 10.4484i 1.52711 + 0.409189i
\(653\) −26.8238 −1.04970 −0.524849 0.851195i \(-0.675878\pi\)
−0.524849 + 0.851195i \(0.675878\pi\)
\(654\) 0.368239 0.0143993
\(655\) 3.08802 + 0.827433i 0.120659 + 0.0323305i
\(656\) 1.43537 5.35687i 0.0560417 0.209151i
\(657\) −8.28243 30.9105i −0.323129 1.20593i
\(658\) 35.9103 50.6371i 1.39993 1.97404i
\(659\) −8.29277 + 14.3635i −0.323040 + 0.559522i −0.981114 0.193431i \(-0.938038\pi\)
0.658073 + 0.752954i \(0.271372\pi\)
\(660\) 0.0248040i 0.000965495i
\(661\) 2.18176 + 8.14245i 0.0848607 + 0.316704i 0.995288 0.0969651i \(-0.0309135\pi\)
−0.910427 + 0.413670i \(0.864247\pi\)
\(662\) 36.7045 21.1914i 1.42656 0.823626i
\(663\) 0.0547830 0.0433858i 0.00212759 0.00168496i
\(664\) 14.8785i 0.577399i
\(665\) −16.9011 1.58070i −0.655396 0.0612970i
\(666\) −26.3333 45.6105i −1.02039 1.76737i
\(667\) −5.39265 + 3.11345i −0.208804 + 0.120553i
\(668\) −8.76095 + 32.6963i −0.338972 + 1.26506i
\(669\) −0.0611655 + 0.0611655i −0.00236480 + 0.00236480i
\(670\) −29.0822 7.79255i −1.12354 0.301052i
\(671\) −1.59121 + 1.59121i −0.0614279 + 0.0614279i
\(672\) 0.0685249 + 0.402713i 0.00264341 + 0.0155350i
\(673\) −26.7116 + 15.4220i −1.02966 + 0.594473i −0.916887 0.399148i \(-0.869306\pi\)
−0.112771 + 0.993621i \(0.535973\pi\)
\(674\) 10.1885 + 10.1885i 0.392447 + 0.392447i
\(675\) 0.181186 + 0.313823i 0.00697385 + 0.0120791i
\(676\) −23.0637 + 24.5221i −0.887065 + 0.943157i
\(677\) −23.6241 13.6394i −0.907947 0.524203i −0.0281768 0.999603i \(-0.508970\pi\)
−0.879770 + 0.475400i \(0.842303\pi\)
\(678\) 0.0372102 0.138870i 0.00142905 0.00533328i
\(679\) −5.82483 34.2319i −0.223537 1.31370i
\(680\) −1.49604 0.863737i −0.0573704 0.0331228i
\(681\) 0.0948748 + 0.354077i 0.00363561 + 0.0135683i
\(682\) 1.54159 + 1.54159i 0.0590307 + 0.0590307i
\(683\) 2.04428 + 2.04428i 0.0782222 + 0.0782222i 0.745135 0.666913i \(-0.232385\pi\)
−0.666913 + 0.745135i \(0.732385\pi\)
\(684\) 9.26286 + 34.5694i 0.354174 + 1.32180i
\(685\) 22.7237 + 13.1195i 0.868228 + 0.501272i
\(686\) −19.2176 34.7116i −0.733733 1.32529i
\(687\) −0.0477743 + 0.178296i −0.00182270 + 0.00680242i
\(688\) −16.0034 9.23957i −0.610124 0.352255i
\(689\) −26.9175 + 3.96414i −1.02548 + 0.151022i
\(690\) 0.0972861 + 0.168504i 0.00370362 + 0.00641486i
\(691\) −12.0266 12.0266i −0.457515 0.457515i 0.440324 0.897839i \(-0.354864\pi\)
−0.897839 + 0.440324i \(0.854864\pi\)
\(692\) −9.99066 + 5.76811i −0.379788 + 0.219271i
\(693\) 2.12992 1.76559i 0.0809091 0.0670692i
\(694\) −20.1461 + 20.1461i −0.764736 + 0.764736i
\(695\) 20.3459 + 5.45168i 0.771765 + 0.206794i
\(696\) −0.0331977 + 0.0331977i −0.00125836 + 0.00125836i
\(697\) −0.570024 + 2.12736i −0.0215912 + 0.0805795i
\(698\) 3.83518 2.21424i 0.145164 0.0838103i
\(699\) −0.190307 0.329622i −0.00719808 0.0124674i
\(700\) −19.0592 + 8.74889i −0.720372 + 0.330677i
\(701\) 9.25014i 0.349373i 0.984624 + 0.174687i \(0.0558912\pi\)
−0.984624 + 0.174687i \(0.944109\pi\)
\(702\) 0.839374 0.362842i 0.0316801 0.0136946i
\(703\) 32.7022 18.8806i 1.23339 0.712096i
\(704\) −1.06612 3.97880i −0.0401808 0.149957i
\(705\) 0.300937i 0.0113339i
\(706\) −13.7302 + 23.7813i −0.516741 + 0.895022i
\(707\) 2.40283 + 1.70401i 0.0903675 + 0.0640860i
\(708\) −0.201737 0.752893i −0.00758174 0.0282954i
\(709\) 0.0570187 0.212797i 0.00214138 0.00799175i −0.964847 0.262813i \(-0.915350\pi\)
0.966988 + 0.254821i \(0.0820165\pi\)
\(710\) −27.0748 7.25468i −1.01610 0.272263i
\(711\) −5.34181 −0.200334
\(712\) 17.1731 0.643588
\(713\) 9.32055 + 2.49743i 0.349057 + 0.0935296i
\(714\) −0.0184282 0.108300i −0.000689657 0.00405304i
\(715\) −0.255005 1.73155i −0.00953664 0.0647563i
\(716\) −15.5948 + 27.0110i −0.582806 + 1.00945i
\(717\) −0.00519270 + 0.00139138i −0.000193925 + 5.19621e-5i
\(718\) 3.05138 5.28515i 0.113877 0.197240i
\(719\) −13.1959 22.8560i −0.492125 0.852385i 0.507834 0.861455i \(-0.330446\pi\)
−0.999959 + 0.00906953i \(0.997113\pi\)
\(720\) 7.30521 + 7.30521i 0.272249 + 0.272249i
\(721\) 15.4486 + 10.9557i 0.575334 + 0.408010i
\(722\) −4.61176 + 1.23572i −0.171632 + 0.0459886i
\(723\) 0.385875 0.103395i 0.0143508 0.00384529i
\(724\) 60.7497i 2.25775i
\(725\) 4.99382 + 2.88319i 0.185466 + 0.107079i
\(726\) −0.325173 + 0.325173i −0.0120683 + 0.0120683i
\(727\) 11.9152 0.441910 0.220955 0.975284i \(-0.429083\pi\)
0.220955 + 0.975284i \(0.429083\pi\)
\(728\) 3.72999 + 11.4562i 0.138243 + 0.424595i
\(729\) 26.9790 0.999221
\(730\) −22.5041 + 22.5041i −0.832915 + 0.832915i
\(731\) 6.35539 + 3.66929i 0.235063 + 0.135714i
\(732\) 0.329849i 0.0121916i
\(733\) −38.3067 + 10.2643i −1.41489 + 0.379119i −0.883669 0.468113i \(-0.844934\pi\)
−0.531223 + 0.847232i \(0.678267\pi\)
\(734\) 13.1880 3.53372i 0.486779 0.130432i
\(735\) 0.173333 + 0.0833687i 0.00639350 + 0.00307510i
\(736\) −18.2884 18.2884i −0.674121 0.674121i
\(737\) 1.75914 + 3.04692i 0.0647987 + 0.112235i
\(738\) −7.20443 + 12.4784i −0.265199 + 0.459337i
\(739\) 17.3308 4.64377i 0.637523 0.170824i 0.0744418 0.997225i \(-0.476282\pi\)
0.563081 + 0.826402i \(0.309616\pi\)
\(740\) −14.7766 + 25.5938i −0.543197 + 0.940845i
\(741\) 0.130068 + 0.300891i 0.00477817 + 0.0110535i
\(742\) −14.8692 + 40.1039i −0.545866 + 1.47226i
\(743\) −13.8438 3.70943i −0.507880 0.136086i −0.00422503 0.999991i \(-0.501345\pi\)
−0.503655 + 0.863905i \(0.668012\pi\)
\(744\) 0.0727527 0.00266724
\(745\) 21.8662 0.801114
\(746\) −2.16070 0.578959i −0.0791090 0.0211972i
\(747\) 9.14581 34.1326i 0.334628 1.24885i
\(748\) 0.229489 + 0.856466i 0.00839097 + 0.0313155i
\(749\) −3.31423 + 35.4361i −0.121099 + 1.29481i
\(750\) 0.237254 0.410935i 0.00866327 0.0150052i
\(751\) 14.8260i 0.541008i −0.962719 0.270504i \(-0.912810\pi\)
0.962719 0.270504i \(-0.0871904\pi\)
\(752\) −7.01111 26.1658i −0.255669 0.954169i
\(753\) 0.0329953 0.0190498i 0.00120242 0.000694215i
\(754\) 8.68043 11.6787i 0.316123 0.425314i
\(755\) 6.21648i 0.226241i
\(756\) 0.0755294 0.807570i 0.00274698 0.0293711i
\(757\) 16.7856 + 29.0735i 0.610082 + 1.05669i 0.991226 + 0.132177i \(0.0421968\pi\)
−0.381144 + 0.924516i \(0.624470\pi\)
\(758\) 28.0930 16.2195i 1.02038 0.589119i
\(759\) 0.00588469 0.0219620i 0.000213601 0.000797169i
\(760\) 5.72981 5.72981i 0.207842 0.207842i
\(761\) 0.530277 + 0.142087i 0.0192225 + 0.00515066i 0.268418 0.963303i \(-0.413499\pi\)
−0.249195 + 0.968453i \(0.580166\pi\)
\(762\) 0.144995 0.144995i 0.00525261 0.00525261i
\(763\) −8.01215 + 21.6096i −0.290059 + 0.782321i
\(764\) −22.6269 + 13.0637i −0.818614 + 0.472627i
\(765\) −2.90110 2.90110i −0.104889 0.104889i
\(766\) 10.6983 + 18.5301i 0.386547 + 0.669519i
\(767\) 21.8234 + 50.4849i 0.787999 + 1.82290i
\(768\) 0.0500225 + 0.0288805i 0.00180503 + 0.00104214i
\(769\) −5.27369 + 19.6817i −0.190174 + 0.709739i 0.803289 + 0.595589i \(0.203081\pi\)
−0.993463 + 0.114150i \(0.963585\pi\)
\(770\) −2.57980 0.956507i −0.0929696 0.0344701i
\(771\) −0.214543 0.123867i −0.00772659 0.00446095i
\(772\) −10.0710 37.5855i −0.362464 1.35273i
\(773\) −19.7