Properties

Label 91.2.ba.a.59.7
Level $91$
Weight $2$
Character 91.59
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 59.7
Character \(\chi\) \(=\) 91.59
Dual form 91.2.ba.a.54.7

$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.51485 + 1.51485i 1.07116 + 1.07116i 0.997266 + 0.0738947i \(0.0235429\pi\)
0.0738947 + 0.997266i \(0.476457\pi\)
\(3\) 0.0170886 0.00986613i 0.00986613 0.00569621i −0.495059 0.868859i \(-0.664853\pi\)
0.504925 + 0.863163i \(0.331520\pi\)
\(4\) 2.58954i 1.29477i
\(5\) −1.34505 0.360406i −0.601526 0.161178i −0.0548104 0.998497i \(-0.517455\pi\)
−0.546716 + 0.837318i \(0.684122\pi\)
\(6\) 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 0.309224 0.950989i \(-0.399931\pi\)
−0.207699 + 0.978193i \(0.566597\pi\)
\(12\) 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 0.956789 + 0.290784i \(0.0939162\pi\)
−0.683211 + 0.730221i \(0.739417\pi\)
\(20\) 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 \(0.111989\pi\)
−0.938745 + 0.344612i \(0.888011\pi\)
\(24\) −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 −0.940131 0.340814i \(-0.889297\pi\)
0.765219 + 0.643770i \(0.222631\pi\)
\(30\) −0.0509786 0.0294325i −0.00930737 0.00537361i
\(31\) −0.755562 2.81980i −0.135703 0.506450i −0.999994 0.00345828i \(-0.998899\pi\)
0.864291 0.502992i \(-0.167767\pi\)
\(32\) 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 −0.0462036 0.998932i \(-0.514712\pi\)
0.998932 + 0.0462036i \(0.0147123\pi\)
\(38\) −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 0.996321 0.0856983i \(-0.0273121\pi\)
−0.905689 + 0.423944i \(0.860645\pi\)
\(42\) 0.0187614 0.110259i 0.00289495 0.0170133i
\(43\) −6.47031 + 3.73564i −0.986714 + 0.569679i −0.904290 0.426918i \(-0.859599\pi\)
−0.0824233 + 0.996597i \(0.526266\pi\)
\(44\) −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 0.374392 + 0.927271i \(0.377852\pi\)
−0.787868 + 0.615844i \(0.788815\pi\)
\(48\) 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 −0.481507 0.876442i \(-0.659910\pi\)
0.999775 0.0212243i \(-0.00675642\pi\)
\(54\) −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 0.785860 + 0.618405i \(0.212221\pi\)
0.618405 + 0.785860i \(0.287779\pi\)
\(60\) −0.0184158 0.0687288i −0.00237747 0.00887285i
\(61\) −5.59044 3.22764i −0.715782 0.413257i 0.0974163 0.995244i \(-0.468942\pi\)
−0.813198 + 0.581987i \(0.802276\pi\)
\(62\) 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 −0.600961 0.799279i \(-0.705215\pi\)
0.920087 0.391715i \(-0.128118\pi\)
\(68\) 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 −0.657554 0.753408i \(-0.728409\pi\)
0.946162 0.323693i \(-0.104925\pi\)
\(72\) −0.980528 3.65938i −0.115556 0.431262i
\(73\) 10.3048 2.76117i 1.20609 0.323170i 0.400862 0.916138i \(-0.368711\pi\)
0.805226 + 0.592968i \(0.202044\pi\)
\(74\) 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 0.911759 0.410726i \(-0.134725\pi\)
−0.811579 + 0.584243i \(0.801392\pi\)
\(80\) −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 −0.0822710 0.996610i \(-0.526217\pi\)
0.996610 + 0.0822710i \(0.0262173\pi\)
\(84\) 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 −0.999813 0.0193394i \(-0.993844\pi\)
−0.0193394 0.999813i \(-0.506156\pi\)
\(90\) 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 −0.450588 0.892732i \(-0.648786\pi\)
−0.836587 + 0.547835i \(0.815452\pi\)
\(98\) −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 0.892392 0.451261i \(-0.149026\pi\)
−0.837000 + 0.547204i \(0.815692\pi\)
\(102\) −0.0401072 0.0107467i −0.00397120 0.00106408i
\(103\) 3.57913 + 6.19923i 0.352662 + 0.610828i 0.986715 0.162461i \(-0.0519432\pi\)
−0.634053 + 0.773290i \(0.718610\pi\)
\(104\) 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 0.167745 0.985830i \(-0.446351\pi\)
0.638187 + 0.769881i \(0.279685\pi\)
\(110\) −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 0.934857 0.355024i \(-0.115527\pi\)
−0.774888 + 0.632098i \(0.782194\pi\)
\(114\) 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 0.674666 0.738123i \(-0.264288\pi\)
−0.301901 + 0.953339i \(0.597621\pi\)
\(128\) −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 −0.584336 0.811512i \(-0.698645\pi\)
0.410622 + 0.911806i \(0.365312\pi\)
\(132\) 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 −0.149609 + 0.988745i \(0.547802\pi\)
−0.988745 + 0.149609i \(0.952198\pi\)
\(138\) −0.0361644 + 0.134967i −0.00307852 + 0.0114892i
\(139\) −13.0999 + 7.56325i −1.11112 + 0.641506i −0.939120 0.343590i \(-0.888357\pi\)
−0.172002 + 0.985097i \(0.555024\pi\)
\(140\) −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 −0.819469 0.573123i \(-0.805732\pi\)
−0.423120 + 0.906074i \(0.639065\pi\)
\(150\) −0.0914958 0.0914958i −0.00747060 0.00747060i
\(151\) 1.15543 + 4.31214i 0.0940279 + 0.350917i 0.996870 0.0790547i \(-0.0251902\pi\)
−0.902842 + 0.429972i \(0.858524\pi\)
\(152\) −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 0.341783 0.939779i \(-0.388969\pi\)
−0.642981 + 0.765882i \(0.722303\pi\)
\(158\) −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 −0.923025 0.384741i \(-0.874291\pi\)
0.606992 0.794708i \(-0.292376\pi\)
\(164\) −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 −0.711803 0.702379i \(-0.752121\pi\)
−0.265250 + 0.964180i \(0.585454\pi\)
\(168\) 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 −0.938192 0.346116i \(-0.887500\pi\)
0.768841 + 0.639440i \(0.220834\pi\)
\(174\) −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 −0.836301 0.548270i \(-0.815287\pi\)
0.0566654 + 0.998393i \(0.481953\pi\)
\(180\) 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 −0.988781 0.149375i \(-0.952274\pi\)
0.623753 + 0.781622i \(0.285607\pi\)
\(192\) 0.116581 + 0.201925i 0.00841353 + 0.0145727i
\(193\) 14.5144 + 3.88911i 1.04477 + 0.279944i 0.740087 0.672511i \(-0.234784\pi\)
0.304679 + 0.952455i \(0.401451\pi\)
\(194\) −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 −0.556412 0.830907i \(-0.687822\pi\)
−0.0664131 + 0.997792i \(0.521156\pi\)
\(198\) −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 −0.904969 0.425479i \(-0.860106\pi\)
0.820959 + 0.570986i \(0.193439\pi\)
\(212\) 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 0.917475 0.397793i \(-0.130224\pi\)
−0.993453 + 0.114239i \(0.963557\pi\)
\(224\) 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 −0.120809 0.992676i \(-0.538549\pi\)
0.992676 + 0.120809i \(0.0385490\pi\)
\(228\) −0.166474 + 0.166474i −0.0110250 + 0.0110250i
\(229\) 2.42113 9.03577i 0.159993 0.597100i −0.838633 0.544696i \(-0.816645\pi\)
0.998626 0.0524040i \(-0.0166884\pi\)
\(230\) 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 −0.934735 0.355347i \(-0.884363\pi\)
−0.159628 + 0.987177i \(0.551030\pi\)
\(234\) 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 0.700849 0.713310i \(-0.252805\pi\)
−0.713310 + 0.700849i \(0.752805\pi\)
\(240\) −0.0656453 + 0.0175896i −0.00423738 + 0.00113540i
\(241\) 14.3156 + 14.3156i 0.922151 + 0.922151i 0.997181 0.0750302i \(-0.0239053\pi\)
−0.0750302 + 0.997181i \(0.523905\pi\)
\(242\) −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 0.894884 0.446298i \(-0.147258\pi\)
−0.833948 + 0.551843i \(0.813925\pi\)
\(252\) −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 0.643070 0.765808i \(-0.277661\pi\)
−0.984744 + 0.174011i \(0.944327\pi\)
\(264\) −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 \(-0.833317\pi\)
0.866000 0.500044i \(-0.166683\pi\)
\(270\) 0.305852 0.176583i 0.0186135 0.0107465i
\(271\) 0.381486 + 0.381486i 0.0231736 + 0.0231736i 0.718599 0.695425i \(-0.244784\pi\)
−0.695425 + 0.718599i \(0.744784\pi\)
\(272\) −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 \(0.102007\pi\)
−0.949089 + 0.315008i \(0.897993\pi\)
\(278\) −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 −0.954920 0.296863i \(-0.904059\pi\)
0.296863 + 0.954920i \(0.404059\pi\)
\(282\) −0.231491 + 0.400955i −0.0137851 + 0.0238765i
\(283\) 14.1670 + 24.5380i 0.842144 + 1.45864i 0.888079 + 0.459691i \(0.152040\pi\)
−0.0459352 + 0.998944i \(0.514627\pi\)
\(284\) 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 −0.585094 0.810966i \(-0.698942\pi\)
0.912189 0.409770i \(-0.134391\pi\)
\(294\) −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 0.473994 0.880528i \(-0.342812\pi\)
−0.880528 + 0.473994i \(0.842812\pi\)
\(308\) 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 −0.530358 0.847774i \(-0.677942\pi\)
0.999373 + 0.0354166i \(0.0112758\pi\)
\(312\) 0.0892565 0.0103625i 0.00505315 0.000586662i
\(313\) 29.9497 17.2915i 1.69286 0.977372i 0.740664 0.671876i \(-0.234511\pi\)
0.952193 0.305496i \(-0.0988223\pi\)
\(314\) −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 −0.816043 0.577991i \(-0.803837\pi\)
0.995710 0.0925337i \(-0.0294966\pi\)
\(318\) 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 0.307954 0.951401i \(-0.400356\pi\)
0.742397 + 0.669961i \(0.233689\pi\)
\(332\) 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 \(-0.941358\pi\)
0.983078 0.183188i \(-0.0586416\pi\)
\(338\) −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 −0.204982 0.978766i \(-0.565714\pi\)
0.311863 + 0.950127i \(0.399047\pi\)
\(350\) −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 −0.0861986 0.996278i \(-0.527472\pi\)
−0.572789 + 0.819703i \(0.694139\pi\)
\(354\) 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 0.330699 0.943736i \(-0.392716\pi\)
−0.185475 + 0.982649i \(0.559382\pi\)
\(360\) 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 −0.348983 0.937129i \(-0.613473\pi\)
0.637086 + 0.770792i \(0.280139\pi\)
\(368\) 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 −0.879225 0.476407i \(-0.841939\pi\)
0.852193 + 0.523228i \(0.175272\pi\)
\(374\) −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 0.137199 0.990543i \(-0.456190\pi\)
0.614090 + 0.789236i \(0.289523\pi\)
\(380\) 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 0.867906 0.496728i \(-0.165465\pi\)
−0.999993 + 0.00377402i \(0.998799\pi\)
\(384\) −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 0.838489 0.544918i \(-0.183439\pi\)
−0.0526685 + 0.998612i \(0.516773\pi\)
\(390\) −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 −0.0400665 0.999197i \(-0.512757\pi\)
0.464900 + 0.885363i \(0.346090\pi\)
\(398\) −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 −0.939059 0.343755i \(-0.888301\pi\)
0.343755 + 0.939059i \(0.388301\pi\)
\(402\) 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 −0.0269065 + 0.999638i \(0.508566\pi\)
−0.999638 + 0.0269065i \(0.991434\pi\)
\(410\) 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 0.546674 0.837345i \(-0.315894\pi\)
−0.451825 + 0.892106i \(0.649227\pi\)
\(420\) −0.176512 + 0.0654450i −0.00861291 + 0.00319339i
\(421\) 5.33907 + 5.33907i 0.260210 + 0.260210i 0.825139 0.564929i \(-0.191096\pi\)
−0.564929 + 0.825139i \(0.691096\pi\)
\(422\) −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 −0.998689 0.0511801i \(-0.983702\pi\)
0.890480 + 0.455021i \(0.150368\pi\)
\(432\) 0.292811i 0.0140879i
\(433\) 12.7738 + 22.1248i 0.613869 + 1.06325i 0.990582 + 0.136922i \(0.0437210\pi\)
−0.376713 + 0.926330i \(0.622946\pi\)
\(434\) −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 0.883100 + 0.469186i \(0.155452\pi\)
−0.0352231 + 0.999379i \(0.511214\pi\)
\(444\) 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 0.392101 0.919922i \(-0.371748\pi\)
−0.120392 + 0.992726i \(0.538415\pi\)
\(450\) 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 0.995772 0.0918622i \(-0.0292819\pi\)
−0.0918622 + 0.995772i \(0.529282\pi\)
\(458\) 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 −0.388205 0.921573i \(-0.626905\pi\)
−0.796982 + 0.604004i \(0.793571\pi\)
\(462\) 0.0162654 0.0354337i 0.000756733 0.00164852i
\(463\) 20.1763 20.1763i 0.937671 0.937671i −0.0604970 0.998168i \(-0.519269\pi\)
0.998168 + 0.0604970i \(0.0192686\pi\)
\(464\) −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 0.999808 + 0.0195946i \(0.00623757\pi\)
−0.482935 + 0.875656i \(0.660429\pi\)
\(468\) −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 0.813189 + 0.582000i \(0.197729\pi\)
−0.995242 + 0.0974319i \(0.968937\pi\)
\(480\) −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 0.354581 0.935025i \(-0.384623\pi\)
−0.935025 + 0.354581i \(0.884623\pi\)
\(488\) 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 0.837442 0.546527i \(-0.184050\pi\)
−0.0545850 + 0.998509i \(0.517384\pi\)
\(492\) −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 −0.905170 0.425049i \(-0.860257\pi\)
0.996425 + 0.0844820i \(0.0269236\pi\)
\(500\) −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 0.651752 0.758432i \(-0.274034\pi\)
0.982698 0.185217i \(-0.0592989\pi\)
\(504\) −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 0.203126 0.979153i \(-0.434890\pi\)
0.979153 0.203126i \(-0.0651101\pi\)
\(510\) 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 −0.0923008 0.995731i \(-0.529422\pi\)
−0.908479 + 0.417931i \(0.862755\pi\)
\(522\) 3.13324 11.6934i 0.137138 0.511806i
\(523\) 14.9301i 0.652846i 0.945224 + 0.326423i \(0.105843\pi\)
−0.945224 + 0.326423i \(0.894157\pi\)
\(524\) −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 −0.146583 0.989198i \(-0.546828\pi\)
−0.621544 + 0.783379i \(0.713494\pi\)
\(542\) 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 0.271312 0.962492i \(-0.412543\pi\)
−0.246283 + 0.969198i \(0.579209\pi\)
\(558\) 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 \(-0.791315\pi\)
0.792680 0.609637i \(-0.208685\pi\)
\(570\) 0.0701963 0.261976i 0.00294020 0.0109730i
\(571\) 11.7038 + 6.75719i 0.489788 + 0.282779i 0.724487 0.689289i \(-0.242077\pi\)
−0.234698 + 0.972068i \(0.575410\pi\)
\(572\) 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 0.999488 0.0320036i \(-0.0101888\pi\)
−0.881584 + 0.472028i \(0.843522\pi\)
\(578\) −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 −0.943915 0.330188i \(-0.892888\pi\)
0.652360 0.757909i \(-0.273779\pi\)
\(588\) −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 −0.996909 0.0785641i \(-0.974966\pi\)
0.902631 + 0.430416i \(0.141633\pi\)
\(594\) −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 −0.994927 0.100597i \(-0.967925\pi\)
0.584583 + 0.811334i \(0.301258\pi\)
\(600\) 0.0539405 0.0539405i 0.00220211 0.00220211i
\(601\) −10.0979 5.83002i −0.411902 0.237811i 0.279705 0.960086i \(-0.409763\pi\)
−0.691606 + 0.722275i \(0.743097\pi\)
\(602\) −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 0.999949 0.0100597i \(-0.00320217\pi\)
0.491263 + 0.871011i \(0.336536\pi\)
\(608\) −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 −0.810876 0.585219i \(-0.801009\pi\)
0.994848 0.101376i \(-0.0323246\pi\)
\(614\) 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 −0.905227 0.424928i \(-0.860299\pi\)
0.996414 + 0.0846152i \(0.0269661\pi\)
\(618\) 0.0783186 + 0.292289i 0.00315044 + 0.0117576i
\(619\) −5.89711 + 1.58013i −0.237025 + 0.0635107i −0.375376 0.926873i \(-0.622486\pi\)
0.138351 + 0.990383i \(0.455820\pi\)
\(620\) −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 0.00861795 0.999963i \(-0.497257\pi\)
−0.492518 + 0.870302i \(0.663923\pi\)
\(632\) −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 \(-0.957211\pi\)
0.990978 0.134022i \(-0.0427892\pi\)
\(642\) 0.549280 + 0.147179i 0.0216783 + 0.00580869i
\(643\) 16.9779 + 4.54920i 0.669541 + 0.179403i 0.577548 0.816357i \(-0.304010\pi\)
0.0919931 + 0.995760i \(0.470676\pi\)
\(644\) 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 0.987746 0.156071i \(-0.0498830\pi\)
−0.629035 + 0.777377i \(0.716550\pi\)
\(648\) 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 0.658073 0.752954i \(-0.271372\pi\)
−0.981114 + 0.193431i \(0.938038\pi\)
\(660\) 0.0248040i 0.000965495i
\(661\) 2.18176 8.14245i 0.0848607 0.316704i −0.910427 0.413670i \(-0.864247\pi\)
0.995288 + 0.0969651i \(0.0309135\pi\)
\(662\) 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 −0.112771 0.993621i \(-0.535973\pi\)
−0.916887 + 0.399148i \(0.869306\pi\)
\(674\) 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 −0.879770 0.475400i \(-0.842303\pi\)
−0.0281768 + 0.999603i \(0.508970\pi\)
\(678\) 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 −0.666913 0.745135i \(-0.732385\pi\)
0.745135 + 0.666913i \(0.232385\pi\)
\(684\) 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 −0.897839 0.440324i \(-0.854864\pi\)
0.440324 + 0.897839i \(0.354864\pi\)
\(692\) −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 \(-0.944109\pi\)
0.984624 0.174687i \(-0.0558912\pi\)
\(702\) 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 0.966988 0.254821i \(-0.0820165\pi\)
−0.964847 + 0.262813i \(0.915350\pi\)
\(710\) −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 −0.999959 0.00906953i \(-0.997113\pi\)
0.507834 + 0.861455i \(0.330446\pi\)
\(720\) 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 −0.531223 0.847232i \(-0.678267\pi\)
−0.883669 + 0.468113i \(0.844934\pi\)
\(734\) 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 0.563081 0.826402i \(-0.309616\pi\)
0.0744418 + 0.997225i \(0.476282\pi\)
\(740\) −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 −0.503655 0.863905i \(-0.668012\pi\)
−0.00422503 + 0.999991i \(0.501345\pi\)
\(744\) 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 \(0.0871904\pi\)
−0.962719 + 0.270504i \(0.912810\pi\)
\(752\) −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 −0.381144 0.924516i \(-0.624470\pi\)
0.991226 0.132177i \(-0.0421968\pi\)
\(758\) 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 −0.249195 0.968453i \(-0.580166\pi\)
0.268418 + 0.963303i \(0.413499\pi\)
\(762\) 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 −0.993463 0.114150i \(-0.963585\pi\)
0.803289 0.595589i \(-0.203081\pi\)
\(770\) −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