Properties

Label 91.2.w.a.80.7
Level $91$
Weight $2$
Character 91.80
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.w (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 80.7
Character \(\chi\) \(=\) 91.80
Dual form 91.2.w.a.33.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.554474 + 2.06932i) q^{2} +0.0197323i q^{3} +(-2.24261 + 1.29477i) q^{4} +(-0.360406 + 1.34505i) q^{5} +(-0.0408324 + 0.0109410i) q^{6} +(-1.53049 - 2.15815i) q^{7} +(-0.893066 - 0.893066i) q^{8} +2.99961 q^{9} +O(q^{10})\) \(q+(0.554474 + 2.06932i) q^{2} +0.0197323i q^{3} +(-2.24261 + 1.29477i) q^{4} +(-0.360406 + 1.34505i) q^{5} +(-0.0408324 + 0.0109410i) q^{6} +(-1.53049 - 2.15815i) q^{7} +(-0.893066 - 0.893066i) q^{8} +2.99961 q^{9} -2.98319 q^{10} +(-0.246497 - 0.246497i) 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} +(-1.23668 + 2.14199i) q^{16} +(-0.491119 - 0.850644i) q^{17} +(1.66320 + 6.20717i) q^{18} +(-3.25796 - 3.25796i) q^{19} +(-0.933286 - 3.48307i) q^{20} +(0.0425851 - 0.0302001i) q^{21} +(0.373406 - 0.646758i) q^{22} +(2.86256 + 1.65270i) q^{23} +(0.0176222 - 0.0176222i) q^{24} +(2.65085 + 1.53047i) q^{25} +(7.67271 + 0.890788i) q^{26} +0.118386i q^{27} +(6.22660 + 2.85824i) q^{28} +(-0.941928 - 1.63147i) q^{29} -0.0588650i q^{30} +(-2.81980 + 0.755562i) q^{31} +(-7.55808 - 2.02518i) q^{32} +(0.00486394 - 0.00486394i) q^{33} +(1.48794 - 1.48794i) q^{34} +(3.45442 - 1.28079i) q^{35} +(-6.72695 + 3.88381i) q^{36} +(-7.91642 + 2.12120i) q^{37} +(4.93532 - 8.54823i) q^{38} +(0.0661394 + 0.0262162i) q^{39} +(1.52309 - 0.879355i) q^{40} +(-0.580331 + 2.16583i) q^{41} +(0.0861060 + 0.0713771i) q^{42} +(-6.47031 - 3.73564i) q^{43} +(0.871953 + 0.233639i) q^{44} +(-1.08108 + 4.03464i) q^{45} +(-1.83276 + 6.83994i) q^{46} +(-10.5791 - 2.83465i) q^{47} +(-0.0422663 - 0.0244025i) q^{48} +(-2.31518 + 6.60605i) q^{49} +(-1.69721 + 6.33408i) q^{50} +(0.0167851 - 0.00969089i) q^{51} +(1.36034 + 9.23709i) q^{52} +(3.77305 - 6.53511i) q^{53} +(-0.244979 + 0.0656418i) q^{54} +(0.420391 - 0.242713i) q^{55} +(-0.560535 + 3.29420i) q^{56} +(0.0642869 - 0.0642869i) q^{57} +(2.85376 - 2.85376i) q^{58} +(14.7344 + 3.94808i) q^{59} +(0.0687288 - 0.0184158i) q^{60} +6.45528i q^{61} +(-3.12700 - 5.41613i) q^{62} +(-4.59088 - 6.47360i) q^{63} -11.8163i q^{64} +(4.02957 + 2.99505i) q^{65} +(0.0127620 + 0.00736814i) q^{66} +(7.13655 - 7.13655i) q^{67} +(2.20278 + 1.27177i) q^{68} +(-0.0326115 + 0.0564847i) q^{69} +(4.56574 + 6.43815i) q^{70} +(2.43186 + 9.07582i) q^{71} +(-2.67885 - 2.67885i) q^{72} +(2.76117 + 10.3048i) q^{73} +(-8.77889 - 15.2055i) q^{74} +(-0.0301996 + 0.0523073i) 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} +(-2.43539 - 2.43539i) q^{80} +8.99650 q^{81} -4.80357 q^{82} +(-8.33002 - 8.33002i) q^{83} +(-0.0563995 + 0.122865i) q^{84} +(1.32116 - 0.354005i) q^{85} +(4.14262 - 15.4605i) q^{86} +(0.0321925 - 0.0185864i) q^{87} +0.440276i q^{88} +(3.51921 + 13.1339i) q^{89} -8.94839 q^{90} +(-9.26716 + 2.26267i) q^{91} -8.55946 q^{92} +(-0.0149089 - 0.0556409i) q^{93} -23.4632i q^{94} +(5.55632 - 3.20794i) q^{95} +(0.0399614 - 0.149138i) q^{96} +(12.6772 - 3.39684i) q^{97} +(-14.9538 - 1.12798i) q^{98} +(-0.739395 - 0.739395i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} - 12q^{10} + 2q^{11} + 8q^{12} - 20q^{14} + 10q^{15} - 2q^{16} - 6q^{17} - 4q^{18} - 8q^{19} - 36q^{20} - 2q^{21} - 8q^{22} - 6q^{23} + 12q^{24} + 24q^{26} - 18q^{28} - 8q^{29} - 38q^{31} - 20q^{32} + 18q^{33} + 12q^{34} - 2q^{35} + 54q^{36} - 16q^{37} + 28q^{39} + 48q^{40} + 18q^{41} - 4q^{42} + 48q^{43} - 6q^{44} + 12q^{45} + 18q^{46} - 42q^{47} + 12q^{48} + 8q^{49} + 10q^{50} + 12q^{51} - 28q^{52} + 12q^{53} - 30q^{54} - 6q^{55} - 24q^{56} + 12q^{57} + 62q^{58} - 6q^{59} + 16q^{60} - 36q^{62} - 38q^{63} - 2q^{65} + 66q^{66} - 4q^{67} + 30q^{68} + 42q^{69} + 68q^{70} - 42q^{71} - 38q^{72} + 14q^{73} - 6q^{74} - 20q^{75} + 52q^{76} - 62q^{78} + 4q^{79} + 12q^{80} + 12q^{81} - 108q^{82} - 66q^{83} - 56q^{84} - 54q^{85} - 30q^{86} + 42q^{87} - 30q^{89} - 72q^{90} - 42q^{91} - 156q^{92} + 14q^{93} - 6q^{95} + 18q^{96} + 62q^{97} + 112q^{98} - 36q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.554474 + 2.06932i 0.392072 + 1.46323i 0.826710 + 0.562628i \(0.190210\pi\)
−0.434638 + 0.900605i \(0.643124\pi\)
\(3\) 0.0197323i 0.0113924i 0.999984 + 0.00569621i \(0.00181317\pi\)
−0.999984 + 0.00569621i \(0.998187\pi\)
\(4\) −2.24261 + 1.29477i −1.12130 + 0.647385i
\(5\) −0.360406 + 1.34505i −0.161178 + 0.601526i 0.837318 + 0.546716i \(0.184122\pi\)
−0.998497 + 0.0548104i \(0.982545\pi\)
\(6\) −0.0408324 + 0.0109410i −0.0166698 + 0.00446665i
\(7\) −1.53049 2.15815i −0.578472 0.815702i
\(8\) −0.893066 0.893066i −0.315747 0.315747i
\(9\) 2.99961 0.999870
\(10\) −2.98319 −0.943366
\(11\) −0.246497 0.246497i −0.0743217 0.0743217i 0.668969 0.743290i \(-0.266736\pi\)
−0.743290 + 0.668969i \(0.766736\pi\)
\(12\) −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
\(16\) −1.23668 + 2.14199i −0.309170 + 0.535498i
\(17\) −0.491119 0.850644i −0.119114 0.206311i 0.800303 0.599596i \(-0.204672\pi\)
−0.919417 + 0.393285i \(0.871339\pi\)
\(18\) 1.66320 + 6.20717i 0.392021 + 1.46304i
\(19\) −3.25796 3.25796i −0.747428 0.747428i 0.226568 0.973995i \(-0.427250\pi\)
−0.973995 + 0.226568i \(0.927250\pi\)
\(20\) −0.933286 3.48307i −0.208689 0.778838i
\(21\) 0.0425851 0.0302001i 0.00929282 0.00659020i
\(22\) 0.373406 0.646758i 0.0796104 0.137889i
\(23\) 2.86256 + 1.65270i 0.596885 + 0.344612i 0.767815 0.640672i \(-0.221344\pi\)
−0.170930 + 0.985283i \(0.554677\pi\)
\(24\) 0.0176222 0.0176222i 0.00359712 0.00359712i
\(25\) 2.65085 + 1.53047i 0.530170 + 0.306094i
\(26\) 7.67271 + 0.890788i 1.50474 + 0.174698i
\(27\) 0.118386i 0.0227834i
\(28\) 6.22660 + 2.85824i 1.17672 + 0.540156i
\(29\) −0.941928 1.63147i −0.174912 0.302956i 0.765219 0.643770i \(-0.222631\pi\)
−0.940131 + 0.340814i \(0.889297\pi\)
\(30\) 0.0588650i 0.0107472i
\(31\) −2.81980 + 0.755562i −0.506450 + 0.135703i −0.502992 0.864291i \(-0.667767\pi\)
−0.00345828 + 0.999994i \(0.501101\pi\)
\(32\) −7.55808 2.02518i −1.33609 0.358005i
\(33\) 0.00486394 0.00486394i 0.000846704 0.000846704i
\(34\) 1.48794 1.48794i 0.255180 0.255180i
\(35\) 3.45442 1.28079i 0.583903 0.216492i
\(36\) −6.72695 + 3.88381i −1.12116 + 0.647301i
\(37\) −7.91642 + 2.12120i −1.30145 + 0.348723i −0.841999 0.539479i \(-0.818621\pi\)
−0.459453 + 0.888202i \(0.651954\pi\)
\(38\) 4.93532 8.54823i 0.800615 1.38671i
\(39\) 0.0661394 + 0.0262162i 0.0105908 + 0.00419795i
\(40\) 1.52309 0.879355i 0.240821 0.139038i
\(41\) −0.580331 + 2.16583i −0.0906326 + 0.338245i −0.996321 0.0856983i \(-0.972688\pi\)
0.905689 + 0.423944i \(0.139355\pi\)
\(42\) 0.0861060 + 0.0713771i 0.0132865 + 0.0110137i
\(43\) −6.47031 3.73564i −0.986714 0.569679i −0.0824233 0.996597i \(-0.526266\pi\)
−0.904290 + 0.426918i \(0.859599\pi\)
\(44\) 0.871953 + 0.233639i 0.131452 + 0.0352224i
\(45\) −1.08108 + 4.03464i −0.161157 + 0.601448i
\(46\) −1.83276 + 6.83994i −0.270225 + 1.00849i
\(47\) −10.5791 2.83465i −1.54311 0.413476i −0.615844 0.787868i \(-0.711185\pi\)
−0.927271 + 0.374392i \(0.877852\pi\)
\(48\) −0.0422663 0.0244025i −0.00610062 0.00352219i
\(49\) −2.31518 + 6.60605i −0.330740 + 0.943722i
\(50\) −1.69721 + 6.33408i −0.240022 + 0.895774i
\(51\) 0.0167851 0.00969089i 0.00235039 0.00135700i
\(52\) 1.36034 + 9.23709i 0.188646 + 1.28095i
\(53\) 3.77305 6.53511i 0.518268 0.897667i −0.481507 0.876442i \(-0.659910\pi\)
0.999775 0.0212243i \(-0.00675642\pi\)
\(54\) −0.244979 + 0.0656418i −0.0333374 + 0.00893272i
\(55\) 0.420391 0.242713i 0.0566855 0.0327274i
\(56\) −0.560535 + 3.29420i −0.0749046 + 0.440206i
\(57\) 0.0642869 0.0642869i 0.00851501 0.00851501i
\(58\) 2.85376 2.85376i 0.374717 0.374717i
\(59\) 14.7344 + 3.94808i 1.91826 + 0.513996i 0.989777 + 0.142624i \(0.0455540\pi\)
0.928484 + 0.371372i \(0.121113\pi\)
\(60\) 0.0687288 0.0184158i 0.00887285 0.00237747i
\(61\) 6.45528i 0.826514i 0.910614 + 0.413257i \(0.135609\pi\)
−0.910614 + 0.413257i \(0.864391\pi\)
\(62\) −3.12700 5.41613i −0.397130 0.687849i
\(63\) −4.59088 6.47360i −0.578397 0.815596i
\(64\) 11.8163i 1.47704i
\(65\) 4.02957 + 2.99505i 0.499807 + 0.371491i
\(66\) 0.0127620 + 0.00736814i 0.00157089 + 0.000906956i
\(67\) 7.13655 7.13655i 0.871868 0.871868i −0.120808 0.992676i \(-0.538549\pi\)
0.992676 + 0.120808i \(0.0385485\pi\)
\(68\) 2.20278 + 1.27177i 0.267126 + 0.154225i
\(69\) −0.0326115 + 0.0564847i −0.00392596 + 0.00679996i
\(70\) 4.56574 + 6.43815i 0.545711 + 0.769506i
\(71\) 2.43186 + 9.07582i 0.288608 + 1.07710i 0.946162 + 0.323693i \(0.104925\pi\)
−0.657554 + 0.753408i \(0.728409\pi\)
\(72\) −2.67885 2.67885i −0.315706 0.315706i
\(73\) 2.76117 + 10.3048i 0.323170 + 1.20609i 0.916138 + 0.400862i \(0.131289\pi\)
−0.592968 + 0.805226i \(0.702044\pi\)
\(74\) −8.77889 15.2055i −1.02053 1.76760i
\(75\) −0.0301996 + 0.0523073i −0.00348715 + 0.00603993i
\(76\) 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 \(0.801392\pi\)
\(80\) −2.43539 2.43539i −0.272284 0.272284i
\(81\) 8.99650 0.999611
\(82\) −4.80357 −0.530466
\(83\) −8.33002 8.33002i −0.914339 0.914339i 0.0822710 0.996610i \(-0.473783\pi\)
−0.996610 + 0.0822710i \(0.973783\pi\)
\(84\) −0.0563995 + 0.122865i −0.00615369 + 0.0134057i
\(85\) 1.32116 0.354005i 0.143300 0.0383972i
\(86\) 4.14262 15.4605i 0.446711 1.66715i
\(87\) 0.0321925 0.0185864i 0.00345140 0.00199267i
\(88\) 0.440276i 0.0469336i
\(89\) 3.51921 + 13.1339i 0.373036 + 1.39219i 0.856194 + 0.516655i \(0.172823\pi\)
−0.483158 + 0.875533i \(0.660510\pi\)
\(90\) −8.94839 −0.943244
\(91\) −9.26716 + 2.26267i −0.971463 + 0.237192i
\(92\) −8.55946 −0.892386
\(93\) −0.0149089 0.0556409i −0.00154599 0.00576970i
\(94\) 23.4632i 2.42005i
\(95\) 5.55632 3.20794i 0.570066 0.329128i
\(96\) 0.0399614 0.149138i 0.00407854 0.0152213i
\(97\) 12.6772 3.39684i 1.28717 0.344897i 0.450588 0.892732i \(-0.351214\pi\)
0.836587 + 0.547835i \(0.184548\pi\)
\(98\) −14.9538 1.12798i −1.51056 0.113943i
\(99\) −0.739395 0.739395i −0.0743120 0.0743120i
\(100\) −7.92643 −0.792643
\(101\) 1.11338 0.110785 0.0553925 0.998465i \(-0.482359\pi\)
0.0553925 + 0.998465i \(0.482359\pi\)
\(102\) 0.0293605 + 0.0293605i 0.00290712 + 0.00290712i
\(103\) −3.57913 6.19923i −0.352662 0.610828i 0.634053 0.773290i \(-0.281390\pi\)
−0.986715 + 0.162461i \(0.948057\pi\)
\(104\) −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
\(107\) −6.72602 + 11.6498i −0.650229 + 1.12623i 0.332838 + 0.942984i \(0.391994\pi\)
−0.983067 + 0.183246i \(0.941340\pi\)
\(108\) −0.153283 0.265493i −0.0147496 0.0255471i
\(109\) −2.25457 8.41418i −0.215949 0.805932i −0.985830 0.167745i \(-0.946351\pi\)
0.769881 0.638187i \(-0.220315\pi\)
\(110\) 0.735346 + 0.735346i 0.0701125 + 0.0701125i
\(111\) −0.0418560 0.156209i −0.00397280 0.0148267i
\(112\) 6.51546 0.609370i 0.615653 0.0575800i
\(113\) 1.70049 2.94534i 0.159969 0.277074i −0.774888 0.632098i \(-0.782194\pi\)
0.934857 + 0.355024i \(0.115527\pi\)
\(114\) 0.168676 + 0.0973851i 0.0157979 + 0.00912095i
\(115\) −3.25465 + 3.25465i −0.303498 + 0.303498i
\(116\) 4.22475 + 2.43916i 0.392258 + 0.226470i
\(117\) 3.98527 10.0542i 0.368438 0.929513i
\(118\) 32.6794i 3.00839i
\(119\) −1.08416 + 2.36181i −0.0993846 + 0.216507i
\(120\) 0.0173517 + 0.0300540i 0.00158398 + 0.00274354i
\(121\) 10.8785i 0.988953i
\(122\) −13.3581 + 3.57928i −1.20938 + 0.324053i
\(123\) −0.0427366 0.0114512i −0.00385343 0.00103252i
\(124\) 5.34542 5.34542i 0.480033 0.480033i
\(125\) −7.93718 + 7.93718i −0.709923 + 0.709923i
\(126\) 10.8504 13.0895i 0.966634 1.16610i
\(127\) 4.20085 2.42536i 0.372765 0.215216i −0.301901 0.953339i \(-0.597621\pi\)
0.674666 + 0.738123i \(0.264288\pi\)
\(128\) 9.33560 2.50147i 0.825159 0.221101i
\(129\) 0.0737126 0.127674i 0.00649003 0.0112411i
\(130\) −3.96345 + 9.99916i −0.347617 + 0.876984i
\(131\) −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
\(133\) −2.04487 + 12.0174i −0.177312 + 1.04204i
\(134\) 18.7249 + 10.8108i 1.61758 + 0.933911i
\(135\) −0.159235 0.0426670i −0.0137048 0.00367219i
\(136\) −0.321079 + 1.19828i −0.0275323 + 0.102752i
\(137\) −4.87696 + 18.2011i −0.416667 + 1.55502i 0.364807 + 0.931083i \(0.381135\pi\)
−0.781474 + 0.623938i \(0.785532\pi\)
\(138\) −0.134967 0.0361644i −0.0114892 0.00307852i
\(139\) 13.0999 + 7.56325i 1.11112 + 0.641506i 0.939120 0.343590i \(-0.111643\pi\)
0.172002 + 0.985097i \(0.444976\pi\)
\(140\) −6.08858 + 7.34498i −0.514579 + 0.620764i
\(141\) 0.0559341 0.208749i 0.00471050 0.0175798i
\(142\) −17.4324 + 10.0646i −1.46289 + 0.844602i
\(143\) −1.15371 + 0.498724i −0.0964784 + 0.0417054i
\(144\) −3.70956 + 6.42514i −0.309130 + 0.535428i
\(145\) 2.53389 0.678953i 0.210428 0.0563840i
\(146\) −19.7930 + 11.4275i −1.63808 + 0.945747i
\(147\) −0.130352 0.0456838i −0.0107513 0.00376793i
\(148\) 15.0070 15.0070i 1.23356 1.23356i
\(149\) 11.1036 11.1036i 0.909638 0.909638i −0.0866044 0.996243i \(-0.527602\pi\)
0.996243 + 0.0866044i \(0.0276016\pi\)
\(150\) −0.124986 0.0334898i −0.0102050 0.00273443i
\(151\) −4.31214 + 1.15543i −0.350917 + 0.0940279i −0.429972 0.902842i \(-0.641476\pi\)
0.0790547 + 0.996870i \(0.474810\pi\)
\(152\) 5.81915i 0.471996i
\(153\) −1.47317 2.55160i −0.119098 0.206285i
\(154\) −1.96729 + 0.183995i −0.158529 + 0.0148267i
\(155\) 4.06508i 0.326515i
\(156\) −0.182269 + 0.0268427i −0.0145932 + 0.00214913i
\(157\) −3.77401 2.17892i −0.301198 0.173897i 0.341783 0.939779i \(-0.388969\pi\)
−0.642981 + 0.765882i \(0.722303\pi\)
\(158\) −2.69770 + 2.69770i −0.214617 + 0.214617i
\(159\) 0.128953 + 0.0744508i 0.0102266 + 0.00590433i
\(160\) 5.44796 9.43613i 0.430699 0.745992i
\(161\) −0.814362 8.70726i −0.0641807 0.686228i
\(162\) 4.98832 + 18.6167i 0.391919 + 1.46266i
\(163\) −11.0234 11.0234i −0.863416 0.863416i 0.128317 0.991733i \(-0.459042\pi\)
−0.991733 + 0.128317i \(0.959042\pi\)
\(164\) −1.50279 5.60850i −0.117348 0.437950i
\(165\) 0.00478927 + 0.00829525i 0.000372844 + 0.000645785i
\(166\) 12.6187 21.8563i 0.979404 1.69638i
\(167\) 12.6263 + 3.38321i 0.977053 + 0.261800i 0.711803 0.702379i \(-0.247879\pi\)
0.265250 + 0.964180i \(0.414546\pi\)
\(168\) −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
\(171\) −9.77262 9.77262i −0.747331 0.747331i
\(172\) 19.3472 1.47521
\(173\) −4.45493 −0.338702 −0.169351 0.985556i \(-0.554167\pi\)
−0.169351 + 0.985556i \(0.554167\pi\)
\(174\) 0.0563111 + 0.0563111i 0.00426893 + 0.00426893i
\(175\) −0.754134 8.06330i −0.0570072 0.609528i
\(176\) 0.832833 0.223157i 0.0627771 0.0168211i
\(177\) −0.0779046 + 0.290744i −0.00585567 + 0.0218536i
\(178\) −25.2269 + 14.5648i −1.89084 + 1.09168i
\(179\) 12.0445i 0.900246i 0.892967 + 0.450123i \(0.148620\pi\)
−0.892967 + 0.450123i \(0.851380\pi\)
\(180\) −2.79949 10.4479i −0.208662 0.778737i
\(181\) −23.4597 −1.74374 −0.871871 0.489735i \(-0.837093\pi\)
−0.871871 + 0.489735i \(0.837093\pi\)
\(182\) −9.82059 17.9222i −0.727950 1.32848i
\(183\) −0.127377 −0.00941599
\(184\) −1.08048 4.03242i −0.0796544 0.297274i
\(185\) 11.4125i 0.839063i
\(186\) 0.106872 0.0617029i 0.00783627 0.00452427i
\(187\) −0.0886217 + 0.330741i −0.00648066 + 0.0241862i
\(188\) 27.3949 7.34044i 1.99798 0.535357i
\(189\) 0.255494 0.181189i 0.0185844 0.0131795i
\(190\) 9.71910 + 9.71910i 0.705098 + 0.705098i
\(191\) 10.0896 0.730055 0.365028 0.930997i \(-0.381060\pi\)
0.365028 + 0.930997i \(0.381060\pi\)
\(192\) 0.233162 0.0168271
\(193\) −10.6252 10.6252i −0.764822 0.764822i 0.212368 0.977190i \(-0.431883\pi\)
−0.977190 + 0.212368i \(0.931883\pi\)
\(194\) 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 \(0.687822\pi\)
\(198\) 1.12007 1.94002i 0.0796001 0.137871i
\(199\) −2.86869 4.96872i −0.203356 0.352223i 0.746252 0.665664i \(-0.231852\pi\)
−0.949608 + 0.313441i \(0.898518\pi\)
\(200\) −1.00058 3.73420i −0.0707513 0.264048i
\(201\) 0.140820 + 0.140820i 0.00993269 + 0.00993269i
\(202\) 0.617337 + 2.30393i 0.0434357 + 0.162104i
\(203\) −2.07933 + 4.52977i −0.145940 + 0.317927i
\(204\) −0.0250950 + 0.0434658i −0.00175700 + 0.00304321i
\(205\) −2.70400 1.56115i −0.188855 0.109036i
\(206\) 10.8437 10.8437i 0.755515 0.755515i
\(207\) 8.58656 + 4.95745i 0.596807 + 0.344567i
\(208\) 5.53657 + 6.99099i 0.383892 + 0.484738i
\(209\) 1.60616i 0.111100i
\(210\) −0.127039 + 0.0900924i −0.00876654 + 0.00621697i
\(211\) −1.22030 2.11362i −0.0840090 0.145508i 0.820959 0.570986i \(-0.193439\pi\)
−0.904969 + 0.425479i \(0.860106\pi\)
\(212\) 19.5409i 1.34208i
\(213\) −0.179086 + 0.0479860i −0.0122708 + 0.00328795i
\(214\) −27.8366 7.45880i −1.90287 0.509873i
\(215\) 7.35657 7.35657i 0.501714 0.501714i
\(216\) 0.105726 0.105726i 0.00719377 0.00719377i
\(217\) 5.94629 + 4.92915i 0.403660 + 0.334612i
\(218\) 16.1616 9.33088i 1.09460 0.631967i
\(219\) −0.203337 + 0.0544841i −0.0137403 + 0.00368169i
\(220\) −0.628514 + 1.08862i −0.0423744 + 0.0733947i
\(221\) −3.50372 + 0.515992i −0.235686 + 0.0347094i
\(222\) 0.300039 0.173227i 0.0201373 0.0116263i
\(223\) 1.13460 4.23437i 0.0759782 0.283554i −0.917475 0.397793i \(-0.869776\pi\)
0.993453 + 0.114239i \(0.0364429\pi\)
\(224\) 7.19696 + 19.4110i 0.480867 + 1.29695i
\(225\) 7.95152 + 4.59081i 0.530102 + 0.306054i
\(226\) 7.03773 + 1.88575i 0.468143 + 0.125439i
\(227\) −4.80811 + 17.9441i −0.319125 + 1.19099i 0.600962 + 0.799278i \(0.294784\pi\)
−0.920087 + 0.391714i \(0.871882\pi\)
\(228\) −0.0609336 + 0.227407i −0.00403543 + 0.0150604i
\(229\) 9.03577 + 2.42113i 0.597100 + 0.159993i 0.544696 0.838633i \(-0.316645\pi\)
0.0524040 + 0.998626i \(0.483312\pi\)
\(230\) −8.53954 4.93031i −0.563081 0.325095i
\(231\) −0.0179413 0.00305286i −0.00118045 0.000200864i
\(232\) −0.615804 + 2.29821i −0.0404295 + 0.150885i
\(233\) 16.7047 9.64448i 1.09436 0.631831i 0.159628 0.987177i \(-0.448970\pi\)
0.934735 + 0.355347i \(0.115637\pi\)
\(234\) 23.0152 + 2.67202i 1.50455 + 0.174675i
\(235\) 7.62551 13.2078i 0.497434 0.861580i
\(236\) −38.1554 + 10.2237i −2.48371 + 0.665507i
\(237\) −0.0304321 + 0.0175700i −0.00197677 + 0.00114129i
\(238\) −5.48849 0.933911i −0.355766 0.0605365i
\(239\) −0.192645 + 0.192645i −0.0124612 + 0.0124612i −0.713310 0.700849i \(-0.752805\pi\)
0.700849 + 0.713310i \(0.252805\pi\)
\(240\) 0.0480557 0.0480557i 0.00310198 0.00310198i
\(241\) 19.5555 + 5.23989i 1.25968 + 0.337531i 0.826069 0.563569i \(-0.190572\pi\)
0.433613 + 0.901099i \(0.357239\pi\)
\(242\) 22.5111 6.03183i 1.44707 0.387741i
\(243\) 0.532679i 0.0341714i
\(244\) −8.35810 14.4767i −0.535073 0.926773i
\(245\) −8.05109 5.49490i −0.514365 0.351056i
\(246\) 0.0947854i 0.00604329i
\(247\) −15.2487 + 6.59165i −0.970250 + 0.419417i
\(248\) 3.19303 + 1.84350i 0.202758 + 0.117062i
\(249\) 0.164370 0.164370i 0.0104165 0.0104165i
\(250\) −20.8256 12.0236i −1.31712 0.760442i
\(251\) −0.965416 + 1.67215i −0.0609365 + 0.105545i −0.894884 0.446298i \(-0.852742\pi\)
0.833948 + 0.551843i \(0.186075\pi\)
\(252\) 18.6774 + 8.57360i 1.17656 + 0.540086i
\(253\) −0.298227 1.11300i −0.0187494 0.0699736i
\(254\) 7.34812 + 7.34812i 0.461062 + 0.461062i
\(255\) 0.00698531 + 0.0260695i 0.000437437 + 0.00163254i
\(256\) −1.46362 2.53506i −0.0914762 0.158441i
\(257\) −6.27737 + 10.8727i −0.391572 + 0.678222i −0.992657 0.120963i \(-0.961402\pi\)
0.601085 + 0.799185i \(0.294735\pi\)
\(258\) 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
\(262\) −3.47785 3.47785i −0.214862 0.214862i
\(263\) 11.0820 0.683348 0.341674 0.939818i \(-0.389006\pi\)
0.341674 + 0.939818i \(0.389006\pi\)
\(264\) −0.00868765 −0.000534688
\(265\) 7.43024 + 7.43024i 0.456436 + 0.456436i
\(266\) −26.0018 + 2.43186i −1.59427 + 0.149107i
\(267\) −0.259161 + 0.0694420i −0.0158604 + 0.00424978i
\(268\) −6.76429 + 25.2447i −0.413195 + 1.54206i
\(269\) −14.2051 + 8.20134i −0.866102 + 0.500044i −0.866051 0.499956i \(-0.833350\pi\)
−5.10726e−5 1.00000i \(0.500016\pi\)
\(270\) 0.353167i 0.0214931i
\(271\) −0.139634 0.521120i −0.00848214 0.0316558i 0.961555 0.274612i \(-0.0885495\pi\)
−0.970037 + 0.242956i \(0.921883\pi\)
\(272\) 2.42943 0.147306
\(273\) −0.0446475 0.182862i −0.00270219 0.0110673i
\(274\) −40.3680 −2.43872
\(275\) −0.276171 1.03068i −0.0166537 0.0621526i
\(276\) 0.168898i 0.0101664i
\(277\) −9.08076 + 5.24278i −0.545610 + 0.315008i −0.747350 0.664431i \(-0.768674\pi\)
0.201739 + 0.979439i \(0.435341\pi\)
\(278\) −8.38724 + 31.3016i −0.503033 + 1.87735i
\(279\) −8.45829 + 2.26639i −0.506385 + 0.135685i
\(280\) −4.22885 1.94120i −0.252722 0.116009i
\(281\) −11.0310 11.0310i −0.658057 0.658057i 0.296863 0.954920i \(-0.404059\pi\)
−0.954920 + 0.296863i \(0.904059\pi\)
\(282\) 0.462983 0.0275702
\(283\) 28.3341 1.68429 0.842144 0.539253i \(-0.181293\pi\)
0.842144 + 0.539253i \(0.181293\pi\)
\(284\) −17.2048 17.2048i −1.02092 1.02092i
\(285\) 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
\(289\) 8.01760 13.8869i 0.471624 0.816876i
\(290\) 2.80995 + 4.86697i 0.165006 + 0.285798i
\(291\) 0.0670274 + 0.250150i 0.00392922 + 0.0146640i
\(292\) −19.5346 19.5346i −1.14318 1.14318i
\(293\) −5.59897 20.8956i −0.327095 1.22074i −0.912189 0.409770i \(-0.865609\pi\)
0.585094 0.810966i \(-0.301058\pi\)
\(294\) 0.0222575 0.295072i 0.00129809 0.0172089i
\(295\) −10.6208 + 18.3957i −0.618364 + 1.07104i
\(296\) 8.96426 + 5.17552i 0.521037 + 0.300821i
\(297\) 0.0291818 0.0291818i 0.00169330 0.00169330i
\(298\) 29.1335 + 16.8202i 1.68766 + 0.974369i
\(299\) 9.34277 7.39907i 0.540306 0.427899i
\(300\) 0.156406i 0.00903012i
\(301\) 1.84072 + 19.6812i 0.106098 + 1.13441i
\(302\) −4.78194 8.28256i −0.275170 0.476608i
\(303\) 0.0219694i 0.00126211i
\(304\) 11.0076 2.94947i 0.631328 0.169164i
\(305\) −8.68269 2.32652i −0.497169 0.133216i
\(306\) 4.46325 4.46325i 0.255147 0.255147i
\(307\) 7.12305 7.12305i 0.406534 0.406534i −0.473994 0.880528i \(-0.657188\pi\)
0.880528 + 0.473994i \(0.157188\pi\)
\(308\) −0.830291 2.23939i −0.0473102 0.127601i
\(309\) 0.122325 0.0706243i 0.00695882 0.00401767i
\(310\) 8.41197 2.25398i 0.477768 0.128018i
\(311\) −8.27116 + 14.3261i −0.469015 + 0.812357i −0.999373 0.0354166i \(-0.988724\pi\)
0.530358 + 0.847774i \(0.322058\pi\)
\(312\) −0.0356540 0.0824796i −0.00201851 0.00466949i
\(313\) 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
\(315\) 10.3619 3.84186i 0.583828 0.216464i
\(316\) −3.99372 2.30577i −0.224664 0.129710i
\(317\) −11.9384 3.19887i −0.670525 0.179667i −0.0925337 0.995710i \(-0.529497\pi\)
−0.577991 + 0.816043i \(0.696163\pi\)
\(318\) −0.0825620 + 0.308125i −0.00462985 + 0.0172788i
\(319\) −0.169969 + 0.634334i −0.00951646 + 0.0355159i
\(320\) 15.8936 + 4.25867i 0.888477 + 0.238067i
\(321\) −0.229877 0.132720i −0.0128305 0.00740769i
\(322\) 17.5666 6.51313i 0.978948 0.362962i
\(323\) −1.17132 + 4.37141i −0.0651738 + 0.243232i
\(324\) −20.1756 + 11.6484i −1.12087 + 0.647133i
\(325\) 8.65180 6.85186i 0.479916 0.380073i
\(326\) 16.6987 28.9231i 0.924857 1.60190i
\(327\) 0.166031 0.0444878i 0.00918152 0.00246018i
\(328\) 2.45250 1.41595i 0.135417 0.0781829i
\(329\) 10.0736 + 27.1696i 0.555375 + 1.49791i
\(330\) −0.0145100 + 0.0145100i −0.000798752 + 0.000798752i
\(331\) −13.9891 + 13.9891i −0.768910 + 0.768910i −0.977915 0.209005i \(-0.932978\pi\)
0.209005 + 0.977915i \(0.432978\pi\)
\(332\) 29.4665 + 7.89551i 1.61718 + 0.433323i
\(333\) −23.7462 + 6.36277i −1.30128 + 0.348678i
\(334\) 28.0038i 1.53230i
\(335\) 7.02698 + 12.1711i 0.383925 + 0.664978i
\(336\) 0.0120242 + 0.128565i 0.000655976 + 0.00701378i
\(337\) 6.72576i 0.366376i 0.983078 + 0.183188i \(0.0586416\pi\)
−0.983078 + 0.183188i \(0.941358\pi\)
\(338\) 13.1797 24.5342i 0.716882 1.33449i
\(339\) 0.0581181 + 0.0335545i 0.00315654 + 0.00182243i
\(340\) −2.50450 + 2.50450i −0.135825 + 0.135825i
\(341\) 0.881315 + 0.508828i 0.0477259 + 0.0275546i
\(342\) 14.8040 25.6414i 0.800511 1.38653i
\(343\) 17.8002 5.11402i 0.961120 0.276131i
\(344\) 2.44225 + 9.11459i 0.131677 + 0.491426i
\(345\) −0.0642216 0.0642216i −0.00345758 0.00345758i
\(346\) −2.47014 9.21869i −0.132796 0.495600i
\(347\) 6.64954 + 11.5173i 0.356966 + 0.618284i 0.987452 0.157917i \(-0.0504778\pi\)
−0.630486 + 0.776200i \(0.717144\pi\)
\(348\) −0.0481302 + 0.0833639i −0.00258005 + 0.00446877i
\(349\) −1.99671 0.535016i −0.106881 0.0286387i 0.204982 0.978766i \(-0.434286\pi\)
−0.311863 + 0.950127i \(0.600953\pi\)
\(350\) 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
\(353\) −9.06371 9.06371i −0.482413 0.482413i 0.423489 0.905901i \(-0.360805\pi\)
−0.905901 + 0.423489i \(0.860805\pi\)
\(354\) −0.644839 −0.0342728
\(355\) −13.0839 −0.694422
\(356\) −24.8976 24.8976i −1.31957 1.31957i
\(357\) −0.0466039 0.0213929i −0.00246654 0.00113223i
\(358\) −24.9239 + 6.67834i −1.31727 + 0.352961i
\(359\) −0.737290 + 2.75160i −0.0389127 + 0.145224i −0.982649 0.185475i \(-0.940618\pi\)
0.943736 + 0.330699i \(0.107284\pi\)
\(360\) 4.56867 2.63772i 0.240790 0.139020i
\(361\) 2.22863i 0.117296i
\(362\) −13.0078 48.5456i −0.683673 2.55150i
\(363\) 0.214657 0.0112666
\(364\) 17.8530 17.0731i 0.935751 0.894875i
\(365\) −14.8557 −0.777582
\(366\) −0.0706273 0.263585i −0.00369175 0.0137778i
\(367\) 6.37311i 0.332674i 0.986069 + 0.166337i \(0.0531939\pi\)
−0.986069 + 0.166337i \(0.946806\pi\)
\(368\) −7.08014 + 4.08772i −0.369078 + 0.213087i
\(369\) −1.74077 + 6.49664i −0.0906208 + 0.338201i
\(370\) 23.6161 6.32793i 1.22775 0.328973i
\(371\) −19.8783 + 1.85916i −1.03203 + 0.0965227i
\(372\) 0.105477 + 0.105477i 0.00546874 + 0.00546874i
\(373\) 1.04416 0.0540645 0.0270323 0.999635i \(-0.491394\pi\)
0.0270323 + 0.999635i \(0.491394\pi\)
\(374\) −0.733548 −0.0379309
\(375\) −0.156618 0.156618i −0.00808774 0.00808774i
\(376\) 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 \(0.456190\pi\)
\(380\) −8.30710 + 14.3883i −0.426145 + 0.738105i
\(381\) 0.0478578 + 0.0828922i 0.00245183 + 0.00424670i
\(382\) 5.59440 + 20.8786i 0.286234 + 1.06824i
\(383\) 7.06231 + 7.06231i 0.360867 + 0.360867i 0.864132 0.503265i \(-0.167868\pi\)
−0.503265 + 0.864132i \(0.667868\pi\)
\(384\) 0.0493596 + 0.184213i 0.00251887 + 0.00940056i
\(385\) −1.16721 0.535794i −0.0594867 0.0273066i
\(386\) 16.0957 27.8785i 0.819247 1.41898i
\(387\) −19.4084 11.2055i −0.986586 0.569605i
\(388\) −24.0319 + 24.0319i −1.22003 + 1.22003i
\(389\) −15.4988 8.94824i −0.785821 0.453694i 0.0526685 0.998612i \(-0.483227\pi\)
−0.838489 + 0.544918i \(0.816561\pi\)
\(390\) −0.197306 0.0782078i −0.00999098 0.00396020i
\(391\) 3.24669i 0.164192i
\(392\) 7.96725 3.83203i 0.402407 0.193547i
\(393\) −0.0226510 0.0392327i −0.00114259 0.00197903i
\(394\) 19.3883i 0.976768i
\(395\) −2.39532 + 0.641824i −0.120522 + 0.0322937i
\(396\) 2.61552 + 0.700827i 0.131435 + 0.0352179i
\(397\) 6.19662 6.19662i 0.311000 0.311000i −0.534297 0.845297i \(-0.679424\pi\)
0.845297 + 0.534297i \(0.179424\pi\)
\(398\) 8.69128 8.69128i 0.435654 0.435654i
\(399\) −0.237131 0.0403498i −0.0118714 0.00202002i
\(400\) −6.55651 + 3.78540i −0.327825 + 0.189270i
\(401\) 16.2843 4.36338i 0.813202 0.217897i 0.171829 0.985127i \(-0.445032\pi\)
0.641372 + 0.767230i \(0.278366\pi\)
\(402\) −0.213321 + 0.369484i −0.0106395 + 0.0184282i
\(403\) −1.21385 + 10.4553i −0.0604660 + 0.520818i
\(404\) −2.49686 + 1.44157i −0.124224 + 0.0717206i
\(405\) −3.24239 + 12.1008i −0.161116 + 0.601292i
\(406\) −10.5265 1.79117i −0.522421 0.0888942i
\(407\) 2.47424 + 1.42850i 0.122644 + 0.0708084i
\(408\) −0.0236448 0.00633561i −0.00117059 0.000313660i
\(409\) 7.59890 28.3595i 0.375741 1.40229i −0.476517 0.879165i \(-0.658101\pi\)
0.852259 0.523121i \(-0.175232\pi\)
\(410\) 1.73124 6.46106i 0.0854997 0.319089i
\(411\) −0.359148 0.0962334i −0.0177155 0.00474684i
\(412\) 16.0532 + 9.26830i 0.790883 + 0.456616i
\(413\) −14.0304 37.8416i −0.690392 1.86206i
\(414\) −5.49755 + 20.5172i −0.270190 + 1.00836i
\(415\) 14.2065 8.20213i 0.697370 0.402627i
\(416\) −16.8297 + 22.6428i −0.825145 + 1.11016i
\(417\) −0.149240 + 0.258491i −0.00730831 + 0.0126584i
\(418\) −3.32366 + 0.890571i −0.162565 + 0.0435593i
\(419\) −1.94150 + 1.12093i −0.0948486 + 0.0547609i −0.546674 0.837345i \(-0.684106\pi\)
0.451825 + 0.892106i \(0.350773\pi\)
\(420\) −0.144933 0.120141i −0.00707201 0.00586230i
\(421\) 5.33907 5.33907i 0.260210 0.260210i −0.564929 0.825139i \(-0.691096\pi\)
0.825139 + 0.564929i \(0.191096\pi\)
\(422\) 3.69715 3.69715i 0.179974 0.179974i
\(423\) −31.7331 8.50285i −1.54291 0.413423i
\(424\) −9.20587 + 2.46671i −0.447077 + 0.119794i
\(425\) 3.00657i 0.145840i
\(426\) −0.198597 0.343981i −0.00962207 0.0166659i
\(427\) 13.9314 9.87976i 0.674189 0.478115i
\(428\) 34.8346i 1.68380i
\(429\) −0.00984095 0.0227654i −0.000475125 0.00109912i
\(430\) 19.3021 + 11.1441i 0.930832 + 0.537416i
\(431\) −6.13749 + 6.13749i −0.295632 + 0.295632i −0.839300 0.543668i \(-0.817035\pi\)
0.543668 + 0.839300i \(0.317035\pi\)
\(432\) −0.253582 0.146405i −0.0122004 0.00704393i
\(433\) −12.7738 + 22.1248i −0.613869 + 1.06325i 0.376713 + 0.926330i \(0.377054\pi\)
−0.990582 + 0.136922i \(0.956279\pi\)
\(434\) −6.90294 + 15.0379i −0.331352 + 0.721841i
\(435\) 0.0133973 + 0.0499993i 0.000642350 + 0.00239728i
\(436\) 15.9506 + 15.9506i 0.763893 + 0.763893i
\(437\) −3.94168 14.7105i −0.188556 0.703700i
\(438\) −0.225491 0.390561i −0.0107744 0.0186617i
\(439\) −17.2316 + 29.8460i −0.822421 + 1.42447i 0.0814542 + 0.996677i \(0.474044\pi\)
−0.903875 + 0.427797i \(0.859290\pi\)
\(440\) −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 \(0.511214\pi\)
\(444\) 0.296121 + 0.296121i 0.0140533 + 0.0140533i
\(445\) −18.9341 −0.897563
\(446\) 9.39139 0.444695
\(447\) 0.219098 + 0.219098i 0.0103630 + 0.0103630i
\(448\) −25.5013 + 18.0848i −1.20482 + 0.854426i
\(449\) 5.75740 1.54269i 0.271709 0.0728041i −0.120392 0.992726i \(-0.538415\pi\)
0.392101 + 0.919922i \(0.371748\pi\)
\(450\) −5.09097 + 18.9998i −0.239991 + 0.895657i
\(451\) 0.676920 0.390820i 0.0318749 0.0184030i
\(452\) 8.80698i 0.414246i
\(453\) −0.0227993 0.0850883i −0.00107121 0.00399780i
\(454\) −39.7981 −1.86782
\(455\) 0.296535 13.2803i 0.0139018 0.622590i
\(456\) −0.114825 −0.00537717
\(457\) 7.07285 + 26.3962i 0.330854 + 1.23476i 0.908295 + 0.418331i \(0.137385\pi\)
−0.577441 + 0.816433i \(0.695949\pi\)
\(458\) 20.0404i 0.936425i
\(459\) 0.100704 0.0581416i 0.00470047 0.00271382i
\(460\) 3.08488 11.5129i 0.143833 0.536793i
\(461\) 25.4470 6.81851i 1.18519 0.317570i 0.388205 0.921573i \(-0.373095\pi\)
0.796982 + 0.604004i \(0.206429\pi\)
\(462\) −0.00363063 0.0388191i −0.000168912 0.00180603i
\(463\) 20.1763 + 20.1763i 0.937671 + 0.937671i 0.998168 0.0604970i \(-0.0192686\pi\)
−0.0604970 + 0.998168i \(0.519269\pi\)
\(464\) 4.65945 0.216310
\(465\) 0.0802133 0.00371980
\(466\) 29.2199 + 29.2199i 1.35358 + 1.35358i
\(467\) −11.1697 19.3465i −0.516873 0.895251i −0.999808 0.0195946i \(-0.993762\pi\)
0.482935 0.875656i \(-0.339571\pi\)
\(468\) 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
\(471\) 0.0429951 0.0744697i 0.00198111 0.00343138i
\(472\) −9.63293 16.6847i −0.443392 0.767977i
\(473\) 0.674090 + 2.51574i 0.0309947 + 0.115674i
\(474\) −0.0532317 0.0532317i −0.00244501 0.00244501i
\(475\) −3.65016 13.6226i −0.167481 0.625047i
\(476\) −0.626662 6.70035i −0.0287230 0.307110i
\(477\) 11.3177 19.6028i 0.518201 0.897550i
\(478\) −0.505462 0.291829i −0.0231193 0.0133479i
\(479\) 10.8857 10.8857i 0.497378 0.497378i −0.413243 0.910621i \(-0.635604\pi\)
0.910621 + 0.413243i \(0.135604\pi\)
\(480\) 0.186196 + 0.107500i 0.00849866 + 0.00490670i
\(481\) −3.40780 + 29.3528i −0.155382 + 1.33837i
\(482\) 43.3721i 1.97554i
\(483\) 0.171814 0.0160692i 0.00781780 0.000731174i
\(484\) 14.0851 + 24.3962i 0.640233 + 1.10892i
\(485\) 18.2757i 0.829859i
\(486\) −1.10228 + 0.295356i −0.0500006 + 0.0133976i
\(487\) 17.4978 + 4.68852i 0.792901 + 0.212457i 0.632465 0.774589i \(-0.282043\pi\)
0.160436 + 0.987046i \(0.448710\pi\)
\(488\) 5.76499 5.76499i 0.260969 0.260969i
\(489\) 0.217516 0.217516i 0.00983640 0.00983640i
\(490\) 6.90662 19.7071i 0.312009 0.890275i
\(491\) 17.3469 10.0153i 0.782857 0.451983i −0.0545850 0.998509i \(-0.517384\pi\)
0.837442 + 0.546527i \(0.184050\pi\)
\(492\) 0.110668 0.0296535i 0.00498931 0.00133688i
\(493\) −0.925198 + 1.60249i −0.0416688 + 0.0721725i
\(494\) −22.0953 27.8996i −0.994113 1.25526i
\(495\) 1.26101 0.728043i 0.0566781 0.0327231i
\(496\) 1.86878 6.97437i 0.0839105 0.313158i
\(497\) 15.8650 19.1388i 0.711642 0.858491i
\(498\) 0.431274 + 0.248996i 0.0193258 + 0.0111578i
\(499\) −7.60769 2.03847i −0.340567 0.0912546i 0.0844820 0.996425i \(-0.473076\pi\)
−0.425049 + 0.905170i \(0.639743\pi\)
\(500\) 7.52316 28.0768i 0.336446 1.25563i
\(501\) −0.0667583 + 0.249145i −0.00298254 + 0.0111310i
\(502\) −3.99552 1.07060i −0.178329 0.0477830i
\(503\) −36.6569 21.1639i −1.63445 0.943650i −0.982698 0.185217i \(-0.940701\pi\)
−0.651752 0.758432i \(-0.725966\pi\)
\(504\) −1.68139 + 9.88131i −0.0748949 + 0.440149i
\(505\) −0.401267 + 1.49755i −0.0178561 + 0.0666400i
\(506\) 2.13779 1.23426i 0.0950365 0.0548694i
\(507\) 0.175745 0.186858i 0.00780511 0.00829865i
\(508\) −6.28057 + 10.8783i −0.278655 + 0.482645i
\(509\) 36.4366 9.76315i 1.61502 0.432744i 0.665489 0.746408i \(-0.268223\pi\)
0.949534 + 0.313664i \(0.101557\pi\)
\(510\) −0.0500731 + 0.0289097i −0.00221728 + 0.00128014i
\(511\) 18.0134 21.7305i 0.796864 0.961299i
\(512\) 18.1026 18.1026i 0.800029 0.800029i
\(513\) 0.385697 0.385697i 0.0170289 0.0170289i
\(514\) −25.9798 6.96127i −1.14592 0.307049i
\(515\) 9.62823 2.57988i 0.424271 0.113683i
\(516\) 0.381763i 0.0168062i
\(517\) 1.90897 + 3.30644i 0.0839566 + 0.145417i
\(518\) −19.3796 + 42.2180i −0.851491 + 1.85495i
\(519\) 0.0879058i 0.00385864i
\(520\) −0.923890 6.27345i −0.0405153 0.275109i
\(521\) −22.8432 13.1885i −1.00078 0.577800i −0.0923008 0.995731i \(-0.529422\pi\)
−0.908479 + 0.417931i \(0.862755\pi\)
\(522\) 8.56017 8.56017i 0.374668 0.374668i
\(523\) −12.9298 7.46503i −0.565381 0.326423i 0.189921 0.981799i \(-0.439177\pi\)
−0.755302 + 0.655376i \(0.772510\pi\)
\(524\) 2.97258 5.14866i 0.129858 0.224920i
\(525\) 0.159107 0.0148808i 0.00694400 0.000649450i
\(526\) 6.14470 + 22.9323i 0.267922 + 0.999898i
\(527\) 2.02757 + 2.02757i 0.0883224 + 0.0883224i
\(528\) 0.00440339 + 0.0164337i 0.000191633 + 0.000715184i
\(529\) −6.03717 10.4567i −0.262486 0.454639i
\(530\) −11.2557 + 19.4955i −0.488917 + 0.846828i
\(531\) 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
\(535\) −13.2455 13.2455i −0.572654 0.572654i
\(536\) −12.7468 −0.550579
\(537\) −0.237665 −0.0102560
\(538\) −24.8476 24.8476i −1.07126 1.07126i
\(539\) 2.19906 1.05769i 0.0947201 0.0455578i
\(540\) 0.412346 0.110488i 0.0177446 0.00475464i
\(541\) 4.78723 17.8662i 0.205819 0.768127i −0.783379 0.621544i \(-0.786506\pi\)
0.989198 0.146583i \(-0.0468276\pi\)
\(542\) 1.00094 0.577895i 0.0429942 0.0248227i
\(543\) 0.462912i 0.0198654i
\(544\) 1.98921 + 7.42384i 0.0852868 + 0.318295i
\(545\) 12.1301 0.519596
\(546\) 0.353645 0.193782i 0.0151346 0.00829312i
\(547\) −12.6324 −0.540123 −0.270062 0.962843i \(-0.587044\pi\)
−0.270062 + 0.962843i \(0.587044\pi\)
\(548\) −12.6291 47.1324i −0.539488 2.01340i
\(549\) 19.3633i 0.826406i
\(550\) 1.97969 1.14297i 0.0844142 0.0487366i
\(551\) −2.24649 + 8.38402i −0.0957038 + 0.357171i
\(552\) 0.0795688 0.0213204i 0.00338667 0.000907457i
\(553\) 1.96562 4.28205i 0.0835866 0.182091i
\(554\) −15.8841 15.8841i −0.674849 0.674849i
\(555\) 0.225194 0.00955897
\(556\) −39.1707 −1.66121
\(557\) −0.432418 0.432418i −0.0183221 0.0183221i 0.697886 0.716209i \(-0.254124\pi\)
−0.716209 + 0.697886i \(0.754124\pi\)
\(558\) −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
\(562\) 16.7104 28.9432i 0.704885 1.22090i
\(563\) −5.41124 9.37254i −0.228057 0.395006i 0.729176 0.684327i \(-0.239904\pi\)
−0.957232 + 0.289321i \(0.906570\pi\)
\(564\) 0.144844 + 0.540563i 0.00609901 + 0.0227618i
\(565\) 3.34877 + 3.34877i 0.140884 + 0.140884i
\(566\) 15.7105 + 58.6324i 0.660362 + 2.46450i
\(567\) −13.7691 19.4157i −0.578247 0.815385i
\(568\) 5.93349 10.2771i 0.248964 0.431218i
\(569\) −25.1877 14.5421i −1.05592 0.609637i −0.131621 0.991300i \(-0.542018\pi\)
−0.924302 + 0.381663i \(0.875352\pi\)
\(570\) −0.191780 + 0.191780i −0.00803277 + 0.00803277i
\(571\) −11.7038 6.75719i −0.489788 0.282779i 0.234698 0.972068i \(-0.424590\pi\)
−0.724487 + 0.689289i \(0.757923\pi\)
\(572\) 1.94160 2.61224i 0.0811822 0.109223i
\(573\) 0.199090i 0.00831710i
\(574\) 7.35184 + 10.3668i 0.306860 + 0.432702i
\(575\) 5.05881 + 8.76212i 0.210967 + 0.365406i
\(576\) 35.4443i 1.47685i
\(577\) 10.5697 2.83216i 0.440024 0.117904i −0.0320036 0.999488i \(-0.510189\pi\)
0.472028 + 0.881584i \(0.343522\pi\)
\(578\) 33.1820 + 8.89110i 1.38019 + 0.369821i
\(579\) 0.209660 0.209660i 0.00871318 0.00871318i
\(580\) −4.80343 + 4.80343i −0.199451 + 0.199451i
\(581\) −5.22836 + 30.7264i −0.216909 + 1.27475i
\(582\) −0.480476 + 0.277403i −0.0199164 + 0.0114987i
\(583\) −2.54093 + 0.680841i −0.105235 + 0.0281975i
\(584\) 6.73698 11.6688i 0.278778 0.482858i
\(585\) 12.0871 + 8.98400i 0.499742 + 0.371443i
\(586\) 40.1353 23.1721i 1.65798 0.957232i
\(587\) 7.06382 26.3625i 0.291555 1.08810i −0.652360 0.757909i \(-0.726221\pi\)
0.943915 0.330188i \(-0.107112\pi\)
\(588\) 0.351479 0.0663256i 0.0144948 0.00273522i
\(589\) 11.6484 + 6.72519i 0.479963 + 0.277107i
\(590\) −43.9556 11.7779i −1.80962 0.484887i
\(591\) 0.0462198 0.172495i 0.00190123 0.00709548i
\(592\) 5.24649 19.5801i 0.215629 0.804739i
\(593\) −8.56816 2.29583i −0.351852 0.0942785i 0.0785641 0.996909i \(-0.474966\pi\)
−0.430416 + 0.902631i \(0.641633\pi\)
\(594\) 0.0765670 + 0.0442060i 0.00314158 + 0.00181379i
\(595\) −2.78602 2.30946i −0.114216 0.0946786i
\(596\) −10.5244 + 39.2775i −0.431095 + 1.60887i
\(597\) 0.0980441 0.0566058i 0.00401268 0.00231672i
\(598\) 20.4914 + 15.2306i 0.837955 + 0.622826i
\(599\) −10.0430 + 17.3949i −0.410344 + 0.710737i −0.994927 0.100597i \(-0.967925\pi\)
0.584583 + 0.811334i \(0.301258\pi\)
\(600\) 0.0736841 0.0197436i 0.00300814 0.000806029i
\(601\) 10.0979 5.83002i 0.411902 0.237811i −0.279705 0.960086i \(-0.590237\pi\)
0.691606 + 0.722275i \(0.256903\pi\)
\(602\) −39.7062 + 14.7218i −1.61831 + 0.600015i
\(603\) 21.4069 21.4069i 0.871755 0.871755i
\(604\) 8.17442 8.17442i 0.332612 0.332612i
\(605\) 14.6321 + 3.92067i 0.594881 + 0.159398i
\(606\) −0.0454618 + 0.0121815i −0.00184676 + 0.000494838i
\(607\) 42.4232i 1.72190i −0.508687 0.860952i \(-0.669869\pi\)
0.508687 0.860952i \(-0.330131\pi\)
\(608\) 18.0260 + 31.2219i 0.731050 + 1.26622i
\(609\) −0.0893825 0.0410298i −0.00362196 0.00166261i
\(610\) 19.2573i 0.779705i
\(611\) −23.5566 + 31.6932i −0.952998 + 1.28217i
\(612\) 6.60747 + 3.81483i 0.267091 + 0.154205i
\(613\) 12.4443 12.4443i 0.502622 0.502622i −0.409630 0.912252i \(-0.634342\pi\)
0.912252 + 0.409630i \(0.134342\pi\)
\(614\) 18.6894 + 10.7904i 0.754244 + 0.435463i
\(615\) 0.0308051 0.0533560i 0.00124218 0.00215152i
\(616\) 0.950180 0.673840i 0.0382839 0.0271498i
\(617\) 2.26503 + 8.45319i 0.0911865 + 0.340313i 0.996414 0.0846152i \(-0.0269661\pi\)
−0.905227 + 0.424928i \(0.860299\pi\)
\(618\) 0.213970 + 0.213970i 0.00860715 + 0.00860715i
\(619\) −1.58013 5.89711i −0.0635107 0.237025i 0.926873 0.375376i \(-0.122486\pi\)
−0.990383 + 0.138351i \(0.955820\pi\)
\(620\) 5.26335 + 9.11639i 0.211381 + 0.366123i
\(621\) −0.195656 + 0.338886i −0.00785141 + 0.0135990i
\(622\) −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
\(626\) 52.3880 + 52.3880i 2.09384 + 2.09384i
\(627\) −0.0316931 −0.00126570
\(628\) 11.2848 0.450313
\(629\) 5.69229 + 5.69229i 0.226966 + 0.226966i
\(630\) 13.6955 + 19.3119i 0.545640 + 0.769406i
\(631\) −12.1554 + 3.25704i −0.483900 + 0.129661i −0.492518 0.870302i \(-0.663923\pi\)
0.00861795 + 0.999963i \(0.497257\pi\)
\(632\) 0.582128 2.17253i 0.0231558 0.0864187i
\(633\) 0.0417066 0.0240793i 0.00165769 0.000957066i
\(634\) 26.4780i 1.05158i
\(635\) 1.74823 + 6.52448i 0.0693763 + 0.258916i
\(636\) −0.385587 −0.0152895
\(637\) 19.0665 + 16.5369i 0.755442 + 0.655216i
\(638\) −1.40689 −0.0556992
\(639\) 7.29463 + 27.2239i 0.288571 + 1.07696i
\(640\) 13.4584i 0.531991i
\(641\) 5.87712 3.39316i 0.232132 0.134022i −0.379423 0.925223i \(-0.623878\pi\)
0.611555 + 0.791202i \(0.290544\pi\)
\(642\) 0.147179 0.549280i 0.00580869 0.0216783i
\(643\) −16.9779 + 4.54920i −0.669541 + 0.179403i −0.577548 0.816357i \(-0.695990\pi\)
−0.0919931 + 0.995760i \(0.529324\pi\)
\(644\) 13.1002 + 18.4726i 0.516220 + 0.727921i
\(645\) 0.145162 + 0.145162i 0.00571574 + 0.00571574i
\(646\) −9.69533 −0.381458
\(647\) 18.2485 0.717422 0.358711 0.933449i \(-0.383216\pi\)
0.358711 + 0.933449i \(0.383216\pi\)
\(648\) −8.03447 8.03447i −0.315624 0.315624i
\(649\) −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
\(653\) 13.4119 23.2301i 0.524849 0.909065i −0.474732 0.880130i \(-0.657455\pi\)
0.999581 0.0289349i \(-0.00921154\pi\)
\(654\) 0.184119 + 0.318904i 0.00719964 + 0.0124701i
\(655\) −0.827433 3.08802i −0.0323305 0.120659i
\(656\) −3.92150 3.92150i −0.153109 0.153109i
\(657\) 8.28243 + 30.9105i 0.323129 + 1.20593i
\(658\) −50.6371 + 35.9103i −1.97404 + 1.39993i
\(659\) −8.29277 + 14.3635i −0.323040 + 0.559522i −0.981114 0.193431i \(-0.938038\pi\)
0.658073 + 0.752954i \(0.271372\pi\)
\(660\) −0.0214809 0.0124020i −0.000836143 0.000482747i
\(661\) −5.96069 + 5.96069i −0.231844 + 0.231844i −0.813462 0.581618i \(-0.802420\pi\)
0.581618 + 0.813462i \(0.302420\pi\)
\(662\) −36.7045 21.1914i −1.42656 0.823626i
\(663\) −0.0101817 0.0691363i −0.000395424 0.00268503i
\(664\) 14.8785i 0.577399i
\(665\) −15.4271 7.08161i −0.598238 0.274613i
\(666\) −26.3333 45.6105i −1.02039 1.76737i
\(667\) 6.22689i 0.241106i
\(668\) −32.6963 + 8.76095i −1.26506 + 0.338972i
\(669\) 0.0835537 + 0.0223881i 0.00323037 + 0.000865576i
\(670\) −21.2896 + 21.2896i −0.822491 + 0.822491i
\(671\) 1.59121 1.59121i 0.0614279 0.0614279i
\(672\) −0.383022 + 0.142012i −0.0147754 + 0.00547824i
\(673\) −26.7116 + 15.4220i −1.02966 + 0.594473i −0.916887 0.399148i \(-0.869306\pi\)
−0.112771 + 0.993621i \(0.535973\pi\)
\(674\) −13.9178 + 3.72926i −0.536093 + 0.143646i
\(675\) −0.181186 + 0.313823i −0.00697385 + 0.0120791i
\(676\) 32.7686 + 7.71270i 1.26033 + 0.296642i
\(677\) −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
\(679\) −26.7332 22.1604i −1.02593 0.850437i
\(680\) −1.49604 0.863737i −0.0573704 0.0331228i
\(681\) −0.354077 0.0948748i −0.0135683 0.00363561i
\(682\) −0.564263 + 2.10586i −0.0216067 + 0.0806375i
\(683\) 0.748258 2.79254i 0.0286313 0.106853i −0.950131 0.311850i \(-0.899052\pi\)
0.978763 + 0.204996i \(0.0657182\pi\)
\(684\) 34.5694 + 9.26286i 1.32180 + 0.354174i
\(685\) −22.7237 13.1195i −0.868228 0.501272i
\(686\) 20.4523 + 33.9988i 0.780872 + 1.29808i
\(687\) −0.0477743 + 0.178296i −0.00182270 + 0.00680242i
\(688\) 16.0034 9.23957i 0.610124 0.352255i
\(689\) −16.8918 21.3292i −0.643526 0.812577i
\(690\) 0.0972861 0.168504i 0.00370362 0.00641486i
\(691\) −16.4287 + 4.40206i −0.624978 + 0.167462i −0.557390 0.830251i \(-0.688197\pi\)
−0.0675880 + 0.997713i \(0.521530\pi\)
\(692\) 9.99066 5.76811i 0.379788 0.219271i
\(693\) −0.464083 + 2.72736i −0.0176291 + 0.103604i
\(694\) −20.1461 + 20.1461i −0.764736 + 0.764736i
\(695\) −14.8943 + 14.8943i −0.564972 + 0.564972i
\(696\) −0.0453489 0.0121512i −0.00171895 0.000460590i
\(697\) 2.12736 0.570024i 0.0805795 0.0215912i
\(698\) 4.42848i 0.167621i
\(699\) 0.190307 + 0.329622i 0.00719808 + 0.0124674i
\(700\) 12.1313 + 17.1064i 0.458522 + 0.646561i
\(701\) 9.25014i 0.349373i 0.984624 + 0.174687i \(0.0558912\pi\)
−0.984624 + 0.174687i \(0.944109\pi\)
\(702\) −0.105457 + 0.908341i −0.00398021 + 0.0342831i
\(703\) 32.7022 + 18.8806i 1.23339 + 0.712096i
\(704\) −2.91269 + 2.91269i −0.109776 + 0.109776i
\(705\) 0.260619 + 0.150469i 0.00981549 + 0.00566697i
\(706\) 13.7302 23.7813i 0.516741 0.895022i
\(707\) −1.70401 2.40283i −0.0640860 0.0903675i
\(708\) −0.201737 0.752893i −0.00758174 0.0282954i
\(709\) 0.155778 + 0.155778i 0.00585037 + 0.00585037i 0.710026 0.704176i \(-0.248683\pi\)
−0.704176 + 0.710026i \(0.748683\pi\)
\(710\) −7.25468 27.0748i −0.272263 1.01610i
\(711\) 2.67091 + 4.62615i 0.100167 + 0.173494i
\(712\) 8.58653 14.8723i 0.321794 0.557363i
\(713\) −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
\(717\) −0.00380132 0.00380132i −0.000141963 0.000141963i
\(718\) −6.10277 −0.227753
\(719\) −26.3919 −0.984250 −0.492125 0.870525i \(-0.663780\pi\)
−0.492125 + 0.870525i \(0.663780\pi\)
\(720\) −7.30521 7.30521i −0.272249 0.272249i
\(721\) −7.90101 + 17.2122i −0.294249 + 0.641014i
\(722\) −4.61176 + 1.23572i −0.171632 + 0.0459886i
\(723\) −0.103395 + 0.385875i −0.00384529 + 0.0143508i
\(724\) 52.6108 30.3749i 1.95527 1.12887i
\(725\) 5.76637i 0.214158i
\(726\) 0.119022 + 0.444195i 0.00441731 + 0.0164856i
\(727\) −11.9152 −0.441910 −0.220955 0.975284i \(-0.570917\pi\)
−0.220955 + 0.975284i \(0.570917\pi\)
\(728\) 10.2969 + 6.25548i 0.381629 + 0.231844i
\(729\) 26.9790 0.999221
\(730\) −8.23708 30.7412i −0.304868 1.13778i
\(731\) 7.33858i 0.271427i
\(732\) 0.285657 0.164924i 0.0105582 0.00609578i
\(733\) −10.2643 + 38.3067i −0.379119 + 1.41489i 0.468113 + 0.883669i \(0.344934\pi\)
−0.847232 + 0.531223i \(0.821733\pi\)
\(734\) −13.1880 + 3.53372i −0.486779 + 0.130432i
\(735\) 0.108427 0.158866i 0.00399938 0.00585986i
\(736\) −18.2884 18.2884i −0.674121 0.674121i
\(737\) −3.51828 −0.129597
\(738\) −14.4089 −0.530397
\(739\) −12.6870 12.6870i −0.466699 0.466699i 0.434144 0.900843i \(-0.357051\pi\)
−0.900843 + 0.434144i \(0.857051\pi\)
\(740\) 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 \(0.668012\pi\)
\(744\) −0.0363764 + 0.0630057i −0.00133362 + 0.00230990i
\(745\) 10.9331 + 18.9367i 0.400557 + 0.693785i
\(746\) 0.578959 + 2.16070i 0.0211972 + 0.0791090i
\(747\) −24.9868 24.9868i −0.914220 0.914220i
\(748\) −0.229489 0.856466i −0.00839097 0.0313155i
\(749\) 35.4361 3.31423i 1.29481 0.121099i
\(750\) 0.237254 0.410935i 0.00866327 0.0150052i
\(751\) 12.8397 + 7.41300i 0.468527 + 0.270504i 0.715623 0.698487i \(-0.246143\pi\)
−0.247096 + 0.968991i \(0.579476\pi\)
\(752\) 19.1547 19.1547i 0.698500 0.698500i
\(753\) −0.0329953 0.0190498i −0.00120242 0.000694215i
\(754\) −5.77385 13.3568i −0.210271 0.486427i
\(755\) 6.21648i 0.226241i
\(756\) −0.338375 + 0.737141i −0.0123066 + 0.0268096i
\(757\) 16.7856 + 29.0735i 0.610082 + 1.05669i 0.991226 + 0.132177i \(0.0421968\pi\)
−0.381144 + 0.924516i \(0.624470\pi\)
\(758\) 32.4390i 1.17824i
\(759\) 0.0219620 0.00588469i 0.000797169 0.000213601i
\(760\) −7.82707 2.09726i −0.283918 0.0760755i
\(761\) 0.388190 0.388190i 0.0140719 0.0140719i −0.700036 0.714108i \(-0.746833\pi\)
0.714108 + 0.700036i \(0.246833\pi\)
\(762\) −0.144995 + 0.144995i −0.00525261 + 0.00525261i
\(763\) −14.7084 + 17.7435i −0.532480 + 0.642359i
\(764\) −22.6269 + 13.0637i −0.818614 + 0.472627i
\(765\) 3.96298 1.06188i 0.143282 0.0383922i
\(766\) −10.6983 + 18.5301i −0.386547 + 0.669519i
\(767\) 32.8095 44.1421i 1.18468 1.59388i
\(768\) 0.0500225 0.0288805i 0.00180503 0.00104214i
\(769\) 5.27369 19.6817i 0.190174 0.709739i −0.803289 0.595589i \(-0.796919\pi\)
0.993463 0.114150i \(-0.0364145\pi\)
\(770\) 0.461542 2.71243i 0.0166328 0.0977491i
\(771\) −0.214543 0.123867i −0.00772659 0.00446095i
\(772\) 37.5855 + 10.0710i 1.35273 + 0.362464i