Properties

Label 441.2.y.a.25.8
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.8
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.502908 + 2.20339i) q^{2} +(-0.976404 - 1.43061i) q^{3} +(-2.80006 - 1.34844i) q^{4} +(-0.712094 - 1.81439i) q^{5} +(3.64322 - 1.43193i) q^{6} +(-2.27396 + 1.35244i) q^{7} +(1.56106 - 1.95751i) q^{8} +(-1.09327 + 2.79370i) q^{9} +O(q^{10})\) \(q+(-0.502908 + 2.20339i) q^{2} +(-0.976404 - 1.43061i) q^{3} +(-2.80006 - 1.34844i) q^{4} +(-0.712094 - 1.81439i) q^{5} +(3.64322 - 1.43193i) q^{6} +(-2.27396 + 1.35244i) q^{7} +(1.56106 - 1.95751i) q^{8} +(-1.09327 + 2.79370i) q^{9} +(4.35591 - 0.656548i) q^{10} +(2.81030 - 0.866864i) q^{11} +(0.804904 + 5.32239i) q^{12} +(5.66736 - 1.74815i) q^{13} +(-1.83635 - 5.69057i) q^{14} +(-1.90038 + 2.79030i) q^{15} +(-0.347326 - 0.435533i) q^{16} +(-0.339436 + 4.52946i) q^{17} +(-5.60578 - 3.81387i) q^{18} +(3.26637 + 5.65752i) q^{19} +(-0.452680 + 6.04059i) q^{20} +(4.15512 + 1.93262i) q^{21} +(0.496710 + 6.62813i) q^{22} +(-4.92188 + 3.35568i) q^{23} +(-4.32464 - 0.321944i) q^{24} +(0.880343 - 0.816839i) q^{25} +(1.00168 + 13.3665i) q^{26} +(5.06416 - 1.16374i) q^{27} +(8.19090 - 0.720613i) q^{28} +(-0.371450 + 4.95666i) q^{29} +(-5.19239 - 5.59054i) q^{30} +5.38510 q^{31} +(5.64591 - 2.71893i) q^{32} +(-3.98413 - 3.17403i) q^{33} +(-9.80944 - 3.02581i) q^{34} +(4.07312 + 3.16278i) q^{35} +(6.82834 - 6.34831i) q^{36} +(3.85221 + 2.62639i) q^{37} +(-14.1084 + 4.35186i) q^{38} +(-8.03455 - 6.40086i) q^{39} +(-4.66329 - 1.43843i) q^{40} +(-2.95932 - 0.446046i) q^{41} +(-6.34795 + 8.18339i) q^{42} +(-0.543360 + 0.0818984i) q^{43} +(-9.03791 - 1.36225i) q^{44} +(5.84736 - 0.00576291i) q^{45} +(-4.91860 - 12.5324i) q^{46} +(-1.53213 + 6.71270i) q^{47} +(-0.283946 + 0.922142i) q^{48} +(3.34181 - 6.15079i) q^{49} +(1.35708 + 2.35053i) q^{50} +(6.81130 - 3.93698i) q^{51} +(-18.2262 - 2.74716i) q^{52} +(4.24182 - 2.89203i) q^{53} +(0.0173609 + 11.7436i) q^{54} +(-3.57402 - 4.48168i) q^{55} +(-0.902381 + 6.56253i) q^{56} +(4.90438 - 10.1969i) q^{57} +(-10.7346 - 3.31119i) q^{58} +(-0.796386 - 0.998637i) q^{59} +(9.08371 - 5.25045i) q^{60} +(10.8467 - 5.22349i) q^{61} +(-2.70821 + 11.8654i) q^{62} +(-1.29225 - 7.83135i) q^{63} +(2.90355 + 12.7213i) q^{64} +(-7.20751 - 9.03793i) q^{65} +(8.99726 - 7.18233i) q^{66} -13.6324 q^{67} +(7.05812 - 12.2250i) q^{68} +(9.60640 + 3.76477i) q^{69} +(-9.01723 + 7.38407i) q^{70} +(-6.27991 - 3.02425i) q^{71} +(3.76202 + 6.50121i) q^{72} +(1.02558 + 0.316348i) q^{73} +(-7.72426 + 7.16706i) q^{74} +(-2.02815 - 0.461860i) q^{75} +(-1.51722 - 20.2458i) q^{76} +(-5.21814 + 5.77198i) q^{77} +(18.1442 - 14.4842i) q^{78} +15.2631 q^{79} +(-0.542895 + 0.940322i) q^{80} +(-6.60952 - 6.10854i) q^{81} +(2.47108 - 6.29621i) q^{82} +(10.1029 + 3.11634i) q^{83} +(-9.02854 - 11.0143i) q^{84} +(8.45989 - 2.60953i) q^{85} +(0.0928068 - 1.23842i) q^{86} +(7.45371 - 4.30830i) q^{87} +(2.69016 - 6.85441i) q^{88} +(0.764489 - 0.709342i) q^{89} +(-2.92799 + 12.8869i) q^{90} +(-10.5231 + 11.6400i) q^{91} +(18.3064 - 2.75925i) q^{92} +(-5.25803 - 7.70395i) q^{93} +(-14.0201 - 6.75174i) q^{94} +(7.93895 - 9.95513i) q^{95} +(-9.40240 - 5.42230i) q^{96} +(-5.90331 + 10.2248i) q^{97} +(11.8719 + 10.4566i) q^{98} +(-0.650664 + 8.79886i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.502908 + 2.20339i −0.355610 + 1.55803i 0.408387 + 0.912809i \(0.366091\pi\)
−0.763997 + 0.645220i \(0.776766\pi\)
\(3\) −0.976404 1.43061i −0.563727 0.825961i
\(4\) −2.80006 1.34844i −1.40003 0.674218i
\(5\) −0.712094 1.81439i −0.318458 0.811418i −0.997039 0.0768925i \(-0.975500\pi\)
0.678581 0.734525i \(-0.262595\pi\)
\(6\) 3.64322 1.43193i 1.48734 0.584583i
\(7\) −2.27396 + 1.35244i −0.859477 + 0.511174i
\(8\) 1.56106 1.95751i 0.551918 0.692083i
\(9\) −1.09327 + 2.79370i −0.364423 + 0.931233i
\(10\) 4.35591 0.656548i 1.37746 0.207619i
\(11\) 2.81030 0.866864i 0.847338 0.261369i 0.159468 0.987203i \(-0.449022\pi\)
0.687870 + 0.725834i \(0.258546\pi\)
\(12\) 0.804904 + 5.32239i 0.232356 + 1.53644i
\(13\) 5.66736 1.74815i 1.57184 0.484849i 0.618259 0.785975i \(-0.287838\pi\)
0.953585 + 0.301125i \(0.0973623\pi\)
\(14\) −1.83635 5.69057i −0.490785 1.52087i
\(15\) −1.90038 + 2.79030i −0.490676 + 0.720452i
\(16\) −0.347326 0.435533i −0.0868314 0.108883i
\(17\) −0.339436 + 4.52946i −0.0823253 + 1.09855i 0.791129 + 0.611649i \(0.209494\pi\)
−0.873455 + 0.486906i \(0.838126\pi\)
\(18\) −5.60578 3.81387i −1.32130 0.898938i
\(19\) 3.26637 + 5.65752i 0.749356 + 1.29792i 0.948132 + 0.317878i \(0.102970\pi\)
−0.198775 + 0.980045i \(0.563696\pi\)
\(20\) −0.452680 + 6.04059i −0.101222 + 1.35072i
\(21\) 4.15512 + 1.93262i 0.906721 + 0.421732i
\(22\) 0.496710 + 6.62813i 0.105899 + 1.41312i
\(23\) −4.92188 + 3.35568i −1.02628 + 0.699707i −0.954652 0.297724i \(-0.903773\pi\)
−0.0716303 + 0.997431i \(0.522820\pi\)
\(24\) −4.32464 0.321944i −0.882764 0.0657166i
\(25\) 0.880343 0.816839i 0.176069 0.163368i
\(26\) 1.00168 + 13.3665i 0.196446 + 2.62139i
\(27\) 5.06416 1.16374i 0.974598 0.223962i
\(28\) 8.19090 0.720613i 1.54793 0.136183i
\(29\) −0.371450 + 4.95666i −0.0689766 + 0.920429i 0.850169 + 0.526510i \(0.176500\pi\)
−0.919145 + 0.393918i \(0.871119\pi\)
\(30\) −5.19239 5.59054i −0.947996 1.02069i
\(31\) 5.38510 0.967192 0.483596 0.875291i \(-0.339330\pi\)
0.483596 + 0.875291i \(0.339330\pi\)
\(32\) 5.64591 2.71893i 0.998065 0.480643i
\(33\) −3.98413 3.17403i −0.693548 0.552527i
\(34\) −9.80944 3.02581i −1.68230 0.518922i
\(35\) 4.07312 + 3.16278i 0.688483 + 0.534608i
\(36\) 6.82834 6.34831i 1.13806 1.05805i
\(37\) 3.85221 + 2.62639i 0.633299 + 0.431776i 0.836959 0.547266i \(-0.184331\pi\)
−0.203660 + 0.979042i \(0.565284\pi\)
\(38\) −14.1084 + 4.35186i −2.28868 + 0.705965i
\(39\) −8.03455 6.40086i −1.28656 1.02496i
\(40\) −4.66329 1.43843i −0.737331 0.227436i
\(41\) −2.95932 0.446046i −0.462168 0.0696607i −0.0861689 0.996281i \(-0.527462\pi\)
−0.376000 + 0.926620i \(0.622701\pi\)
\(42\) −6.34795 + 8.18339i −0.979510 + 1.26272i
\(43\) −0.543360 + 0.0818984i −0.0828617 + 0.0124894i −0.190342 0.981718i \(-0.560960\pi\)
0.107481 + 0.994207i \(0.465722\pi\)
\(44\) −9.03791 1.36225i −1.36252 0.205366i
\(45\) 5.84736 0.00576291i 0.871673 0.000859084i
\(46\) −4.91860 12.5324i −0.725208 1.84780i
\(47\) −1.53213 + 6.71270i −0.223484 + 0.979147i 0.731349 + 0.682004i \(0.238891\pi\)
−0.954833 + 0.297144i \(0.903966\pi\)
\(48\) −0.283946 + 0.922142i −0.0409840 + 0.133100i
\(49\) 3.34181 6.15079i 0.477402 0.878685i
\(50\) 1.35708 + 2.35053i 0.191920 + 0.332415i
\(51\) 6.81130 3.93698i 0.953773 0.551288i
\(52\) −18.2262 2.74716i −2.52752 0.380962i
\(53\) 4.24182 2.89203i 0.582659 0.397250i −0.235811 0.971799i \(-0.575775\pi\)
0.818471 + 0.574548i \(0.194822\pi\)
\(54\) 0.0173609 + 11.7436i 0.00236252 + 1.59810i
\(55\) −3.57402 4.48168i −0.481921 0.604310i
\(56\) −0.902381 + 6.56253i −0.120586 + 0.876955i
\(57\) 4.90438 10.1969i 0.649602 1.35061i
\(58\) −10.7346 3.31119i −1.40953 0.434781i
\(59\) −0.796386 0.998637i −0.103681 0.130011i 0.727284 0.686337i \(-0.240782\pi\)
−0.830965 + 0.556325i \(0.812211\pi\)
\(60\) 9.08371 5.25045i 1.17270 0.677830i
\(61\) 10.8467 5.22349i 1.38878 0.668799i 0.417924 0.908482i \(-0.362758\pi\)
0.970851 + 0.239683i \(0.0770434\pi\)
\(62\) −2.70821 + 11.8654i −0.343943 + 1.50691i
\(63\) −1.29225 7.83135i −0.162809 0.986658i
\(64\) 2.90355 + 12.7213i 0.362944 + 1.59016i
\(65\) −7.20751 9.03793i −0.893981 1.12102i
\(66\) 8.99726 7.18233i 1.10749 0.884084i
\(67\) −13.6324 −1.66547 −0.832733 0.553675i \(-0.813225\pi\)
−0.832733 + 0.553675i \(0.813225\pi\)
\(68\) 7.05812 12.2250i 0.855923 1.48250i
\(69\) 9.60640 + 3.76477i 1.15647 + 0.453225i
\(70\) −9.01723 + 7.38407i −1.07777 + 0.882565i
\(71\) −6.27991 3.02425i −0.745288 0.358912i 0.0223884 0.999749i \(-0.492873\pi\)
−0.767677 + 0.640837i \(0.778587\pi\)
\(72\) 3.76202 + 6.50121i 0.443359 + 0.766175i
\(73\) 1.02558 + 0.316348i 0.120035 + 0.0370258i 0.354191 0.935173i \(-0.384756\pi\)
−0.234156 + 0.972199i \(0.575233\pi\)
\(74\) −7.72426 + 7.16706i −0.897926 + 0.833154i
\(75\) −2.02815 0.461860i −0.234190 0.0533310i
\(76\) −1.51722 20.2458i −0.174037 2.32236i
\(77\) −5.21814 + 5.77198i −0.594663 + 0.657778i
\(78\) 18.1442 14.4842i 2.05443 1.64001i
\(79\) 15.2631 1.71723 0.858617 0.512617i \(-0.171324\pi\)
0.858617 + 0.512617i \(0.171324\pi\)
\(80\) −0.542895 + 0.940322i −0.0606975 + 0.105131i
\(81\) −6.60952 6.10854i −0.734391 0.678726i
\(82\) 2.47108 6.29621i 0.272885 0.695300i
\(83\) 10.1029 + 3.11634i 1.10894 + 0.342063i 0.794530 0.607224i \(-0.207717\pi\)
0.314410 + 0.949287i \(0.398193\pi\)
\(84\) −9.02854 11.0143i −0.985094 1.20176i
\(85\) 8.45989 2.60953i 0.917604 0.283043i
\(86\) 0.0928068 1.23842i 0.0100076 0.133542i
\(87\) 7.45371 4.30830i 0.799122 0.461899i
\(88\) 2.69016 6.85441i 0.286772 0.730682i
\(89\) 0.764489 0.709342i 0.0810357 0.0751901i −0.638615 0.769526i \(-0.720492\pi\)
0.719651 + 0.694336i \(0.244302\pi\)
\(90\) −2.92799 + 12.8869i −0.308637 + 1.35840i
\(91\) −10.5231 + 11.6400i −1.10312 + 1.22020i
\(92\) 18.3064 2.75925i 1.90858 0.287672i
\(93\) −5.25803 7.70395i −0.545232 0.798863i
\(94\) −14.0201 6.75174i −1.44607 0.696389i
\(95\) 7.93895 9.95513i 0.814520 1.02138i
\(96\) −9.40240 5.42230i −0.959629 0.553412i
\(97\) −5.90331 + 10.2248i −0.599391 + 1.03817i 0.393521 + 0.919316i \(0.371257\pi\)
−0.992911 + 0.118859i \(0.962076\pi\)
\(98\) 11.8719 + 10.4566i 1.19925 + 1.05628i
\(99\) −0.650664 + 8.79886i −0.0653941 + 0.884319i
\(100\) −3.56646 + 1.10011i −0.356646 + 0.110011i
\(101\) 6.54693 + 0.986791i 0.651444 + 0.0981894i 0.466446 0.884550i \(-0.345534\pi\)
0.184998 + 0.982739i \(0.440772\pi\)
\(102\) 5.24923 + 16.9879i 0.519751 + 1.68205i
\(103\) 3.20390 + 8.16340i 0.315690 + 0.804364i 0.997354 + 0.0726988i \(0.0231612\pi\)
−0.681664 + 0.731665i \(0.738744\pi\)
\(104\) 5.42507 13.8229i 0.531972 1.35544i
\(105\) 0.547683 8.91519i 0.0534484 0.870033i
\(106\) 4.23900 + 10.8008i 0.411728 + 1.04907i
\(107\) −8.17471 + 7.58502i −0.790279 + 0.733272i −0.968038 0.250802i \(-0.919306\pi\)
0.177759 + 0.984074i \(0.443115\pi\)
\(108\) −15.7492 3.57015i −1.51546 0.343538i
\(109\) 5.78279 + 5.36564i 0.553891 + 0.513935i 0.906709 0.421756i \(-0.138586\pi\)
−0.352819 + 0.935692i \(0.614777\pi\)
\(110\) 11.6723 5.62108i 1.11291 0.535949i
\(111\) −0.00397939 8.07541i −0.000377707 0.766484i
\(112\) 1.37884 + 0.520648i 0.130288 + 0.0491966i
\(113\) −0.230416 + 0.213795i −0.0216757 + 0.0201121i −0.690936 0.722916i \(-0.742801\pi\)
0.669261 + 0.743028i \(0.266611\pi\)
\(114\) 20.0013 + 15.9344i 1.87329 + 1.49239i
\(115\) 9.59333 + 6.54062i 0.894583 + 0.609916i
\(116\) 7.72382 13.3780i 0.717138 1.24212i
\(117\) −1.31215 + 17.7441i −0.121309 + 1.64044i
\(118\) 2.60089 1.25252i 0.239431 0.115304i
\(119\) −5.35395 10.7589i −0.490796 0.986265i
\(120\) 2.49542 + 8.07583i 0.227800 + 0.737219i
\(121\) −1.94228 + 1.32422i −0.176571 + 0.120384i
\(122\) 6.05447 + 26.5264i 0.548146 + 2.40158i
\(123\) 2.25138 + 4.66915i 0.203000 + 0.421003i
\(124\) −15.0786 7.26145i −1.35410 0.652098i
\(125\) −10.8894 5.24407i −0.973980 0.469044i
\(126\) 17.9054 + 1.09112i 1.59514 + 0.0972045i
\(127\) −12.4845 + 6.01221i −1.10782 + 0.533498i −0.896109 0.443835i \(-0.853618\pi\)
−0.211711 + 0.977332i \(0.567903\pi\)
\(128\) −16.9572 −1.49881
\(129\) 0.647704 + 0.697369i 0.0570271 + 0.0613999i
\(130\) 23.5388 11.3357i 2.06449 0.994204i
\(131\) 14.1634 2.13480i 1.23747 0.186518i 0.502473 0.864593i \(-0.332424\pi\)
0.734993 + 0.678075i \(0.237185\pi\)
\(132\) 6.87582 + 14.2598i 0.598463 + 1.24116i
\(133\) −15.0791 8.44742i −1.30752 0.732484i
\(134\) 6.85586 30.0375i 0.592256 2.59484i
\(135\) −5.71763 8.35964i −0.492095 0.719484i
\(136\) 8.33656 + 7.73520i 0.714854 + 0.663288i
\(137\) −1.10046 + 2.80392i −0.0940185 + 0.239555i −0.970145 0.242526i \(-0.922024\pi\)
0.876126 + 0.482082i \(0.160119\pi\)
\(138\) −13.1264 + 19.2733i −1.11739 + 1.64065i
\(139\) −9.66051 1.45609i −0.819393 0.123504i −0.274049 0.961716i \(-0.588363\pi\)
−0.545344 + 0.838212i \(0.683601\pi\)
\(140\) −7.14016 14.3483i −0.603453 1.21265i
\(141\) 11.0992 4.36243i 0.934722 0.367383i
\(142\) 9.82180 12.3161i 0.824227 1.03355i
\(143\) 14.4116 9.82566i 1.20516 0.821663i
\(144\) 1.59647 0.494169i 0.133039 0.0411807i
\(145\) 9.25780 2.85565i 0.768818 0.237149i
\(146\) −1.21281 + 2.10064i −0.100373 + 0.173851i
\(147\) −12.0623 + 1.22484i −0.994884 + 0.101023i
\(148\) −7.24487 12.5485i −0.595525 1.03148i
\(149\) −9.48281 8.79876i −0.776862 0.720823i 0.188404 0.982092i \(-0.439669\pi\)
−0.965266 + 0.261269i \(0.915859\pi\)
\(150\) 2.03763 4.23652i 0.166372 0.345910i
\(151\) 0.894258 + 11.9330i 0.0727737 + 0.971098i 0.907396 + 0.420276i \(0.138067\pi\)
−0.834623 + 0.550822i \(0.814314\pi\)
\(152\) 16.1736 + 2.43778i 1.31185 + 0.197730i
\(153\) −12.2829 5.90020i −0.993010 0.477003i
\(154\) −10.0937 14.4004i −0.813370 1.16041i
\(155\) −3.83469 9.77064i −0.308010 0.784797i
\(156\) 13.8660 + 28.7568i 1.11017 + 2.30239i
\(157\) −5.66176 7.09963i −0.451858 0.566612i 0.502767 0.864422i \(-0.332315\pi\)
−0.954625 + 0.297810i \(0.903744\pi\)
\(158\) −7.67595 + 33.6305i −0.610666 + 2.67550i
\(159\) −8.27909 3.24460i −0.656574 0.257313i
\(160\) −8.95360 8.30772i −0.707844 0.656783i
\(161\) 6.65381 14.2872i 0.524394 1.12599i
\(162\) 16.7835 11.4913i 1.31863 0.902841i
\(163\) 1.73205 4.41319i 0.135664 0.345668i −0.846856 0.531822i \(-0.821507\pi\)
0.982520 + 0.186155i \(0.0596026\pi\)
\(164\) 7.68480 + 5.23941i 0.600082 + 0.409129i
\(165\) −2.92184 + 9.48896i −0.227465 + 0.738714i
\(166\) −11.9474 + 20.6934i −0.927294 + 1.60612i
\(167\) −12.3029 8.38794i −0.952023 0.649078i −0.0155729 0.999879i \(-0.504957\pi\)
−0.936450 + 0.350800i \(0.885910\pi\)
\(168\) 10.2695 5.11673i 0.792308 0.394764i
\(169\) 18.3218 12.4916i 1.40937 0.960894i
\(170\) 1.49525 + 19.9528i 0.114681 + 1.53031i
\(171\) −19.3764 + 2.94006i −1.48175 + 0.224832i
\(172\) 1.63187 + 0.503366i 0.124429 + 0.0383813i
\(173\) 5.71847 + 2.75387i 0.434767 + 0.209373i 0.638449 0.769664i \(-0.279576\pi\)
−0.203682 + 0.979037i \(0.565291\pi\)
\(174\) 5.74432 + 18.5901i 0.435476 + 1.40931i
\(175\) −0.897142 + 3.04807i −0.0678176 + 0.230413i
\(176\) −1.35364 0.922894i −0.102034 0.0695658i
\(177\) −0.651062 + 2.11439i −0.0489368 + 0.158927i
\(178\) 1.17849 + 2.04120i 0.0883313 + 0.152994i
\(179\) −0.667985 + 8.91364i −0.0499276 + 0.666237i 0.914955 + 0.403556i \(0.132226\pi\)
−0.964883 + 0.262681i \(0.915393\pi\)
\(180\) −16.3807 7.86865i −1.22095 0.586495i
\(181\) −4.43669 19.4384i −0.329776 1.44484i −0.819556 0.572998i \(-0.805780\pi\)
0.489780 0.871846i \(-0.337077\pi\)
\(182\) −20.3552 29.0403i −1.50883 2.15261i
\(183\) −18.0635 10.4171i −1.33529 0.770054i
\(184\) −1.11458 + 14.8730i −0.0821678 + 1.09645i
\(185\) 2.02215 8.85962i 0.148671 0.651372i
\(186\) 19.6191 7.71109i 1.43854 0.565404i
\(187\) 2.97250 + 13.0234i 0.217371 + 0.952365i
\(188\) 13.3417 16.7299i 0.973042 1.22016i
\(189\) −9.94182 + 9.49527i −0.723161 + 0.690679i
\(190\) 17.9424 + 22.4991i 1.30168 + 1.63226i
\(191\) 1.24564 1.56198i 0.0901314 0.113021i −0.734721 0.678370i \(-0.762687\pi\)
0.824852 + 0.565348i \(0.191258\pi\)
\(192\) 15.3641 16.5750i 1.10881 1.19619i
\(193\) 9.79316 12.2802i 0.704927 0.883950i −0.292454 0.956280i \(-0.594472\pi\)
0.997381 + 0.0723292i \(0.0230432\pi\)
\(194\) −19.5604 18.1494i −1.40436 1.30305i
\(195\) −5.89228 + 19.1358i −0.421955 + 1.37034i
\(196\) −17.6512 + 12.7163i −1.26080 + 0.908310i
\(197\) 10.9454 0.779826 0.389913 0.920852i \(-0.372505\pi\)
0.389913 + 0.920852i \(0.372505\pi\)
\(198\) −19.0601 5.85868i −1.35454 0.416359i
\(199\) 2.24845 + 5.72896i 0.159388 + 0.406115i 0.988151 0.153485i \(-0.0490498\pi\)
−0.828762 + 0.559601i \(0.810955\pi\)
\(200\) −0.224700 2.99841i −0.0158887 0.212020i
\(201\) 13.3108 + 19.5026i 0.938868 + 1.37561i
\(202\) −5.46679 + 13.9292i −0.384642 + 0.980052i
\(203\) −5.85892 11.7736i −0.411215 0.826346i
\(204\) −24.3808 + 1.83917i −1.70700 + 0.128768i
\(205\) 1.29802 + 5.68698i 0.0906573 + 0.397196i
\(206\) −19.5984 + 2.95398i −1.36548 + 0.205814i
\(207\) −3.99382 17.4189i −0.277590 1.21070i
\(208\) −2.72980 1.86114i −0.189277 0.129047i
\(209\) 14.0838 + 13.0678i 0.974196 + 0.903921i
\(210\) 19.3682 + 5.69028i 1.33653 + 0.392667i
\(211\) −15.7337 + 14.5987i −1.08315 + 1.00502i −0.0831859 + 0.996534i \(0.526510\pi\)
−0.999964 + 0.00848221i \(0.997300\pi\)
\(212\) −15.7771 + 2.37801i −1.08357 + 0.163322i
\(213\) 1.80522 + 11.9370i 0.123692 + 0.817907i
\(214\) −12.6016 21.8266i −0.861428 1.49204i
\(215\) 0.535519 + 0.927546i 0.0365221 + 0.0632581i
\(216\) 5.62742 11.7298i 0.382897 0.798111i
\(217\) −12.2455 + 7.28302i −0.831279 + 0.494403i
\(218\) −14.7308 + 10.0433i −0.997695 + 0.680217i
\(219\) −0.548806 1.77608i −0.0370849 0.120016i
\(220\) 3.96420 + 17.3683i 0.267266 + 1.17097i
\(221\) 5.99446 + 26.2635i 0.403231 + 1.76667i
\(222\) 17.7952 + 4.05242i 1.19434 + 0.271981i
\(223\) −11.3958 + 7.76953i −0.763120 + 0.520287i −0.881215 0.472716i \(-0.843274\pi\)
0.118095 + 0.993002i \(0.462321\pi\)
\(224\) −9.16140 + 13.8185i −0.612122 + 0.923287i
\(225\) 1.31955 + 3.35244i 0.0879700 + 0.223496i
\(226\) −0.355194 0.615215i −0.0236272 0.0409235i
\(227\) −0.357668 0.619500i −0.0237393 0.0411177i 0.853912 0.520418i \(-0.174224\pi\)
−0.877651 + 0.479300i \(0.840890\pi\)
\(228\) −27.4824 + 21.9387i −1.82007 + 1.45292i
\(229\) 23.1859 3.49472i 1.53217 0.230937i 0.671848 0.740689i \(-0.265501\pi\)
0.860322 + 0.509752i \(0.170263\pi\)
\(230\) −19.2361 + 17.8485i −1.26839 + 1.17689i
\(231\) 13.3524 + 1.82933i 0.878527 + 0.120361i
\(232\) 9.12283 + 8.46475i 0.598943 + 0.555738i
\(233\) 4.75457 + 3.24161i 0.311482 + 0.212365i 0.708963 0.705246i \(-0.249163\pi\)
−0.397481 + 0.917610i \(0.630116\pi\)
\(234\) −38.4372 11.8148i −2.51272 0.772360i
\(235\) 13.2704 2.00020i 0.865668 0.130478i
\(236\) 0.883328 + 3.87011i 0.0574998 + 0.251923i
\(237\) −14.9030 21.8355i −0.968052 1.41837i
\(238\) 26.3985 6.38609i 1.71116 0.413949i
\(239\) −3.53580 + 9.00907i −0.228712 + 0.582748i −0.998453 0.0556084i \(-0.982290\pi\)
0.769741 + 0.638356i \(0.220385\pi\)
\(240\) 1.87532 0.141465i 0.121051 0.00913152i
\(241\) −0.488592 6.51981i −0.0314730 0.419978i −0.990580 0.136934i \(-0.956275\pi\)
0.959107 0.283043i \(-0.0913440\pi\)
\(242\) −1.94098 4.94555i −0.124771 0.317912i
\(243\) −2.28535 + 15.4200i −0.146605 + 0.989195i
\(244\) −37.4149 −2.39524
\(245\) −13.5396 1.68340i −0.865013 0.107548i
\(246\) −11.4202 + 2.61250i −0.728123 + 0.166567i
\(247\) 28.4019 + 26.3531i 1.80717 + 1.67681i
\(248\) 8.40645 10.5414i 0.533810 0.669377i
\(249\) −5.40628 17.4961i −0.342609 1.10877i
\(250\) 17.0311 21.3563i 1.07714 1.35069i
\(251\) −10.0881 12.6501i −0.636758 0.798469i 0.353836 0.935308i \(-0.384877\pi\)
−0.990593 + 0.136839i \(0.956306\pi\)
\(252\) −6.94169 + 23.6707i −0.437285 + 1.49112i
\(253\) −10.9230 + 13.6971i −0.686726 + 0.861127i
\(254\) −6.96867 30.5317i −0.437253 1.91573i
\(255\) −11.9935 9.55482i −0.751061 0.598346i
\(256\) 2.72079 11.9206i 0.170050 0.745036i
\(257\) 0.927064 12.3708i 0.0578287 0.771670i −0.890622 0.454745i \(-0.849731\pi\)
0.948451 0.316925i \(-0.102650\pi\)
\(258\) −1.86231 + 1.07643i −0.115942 + 0.0670155i
\(259\) −12.3118 0.762437i −0.765018 0.0473755i
\(260\) 7.99436 + 35.0256i 0.495789 + 2.17219i
\(261\) −13.4413 6.45669i −0.831997 0.399659i
\(262\) −2.41914 + 32.2811i −0.149455 + 1.99434i
\(263\) 3.40772 + 5.90234i 0.210129 + 0.363954i 0.951755 0.306860i \(-0.0992784\pi\)
−0.741626 + 0.670814i \(0.765945\pi\)
\(264\) −12.4326 + 2.84412i −0.765176 + 0.175043i
\(265\) −8.26783 5.63691i −0.507889 0.346273i
\(266\) 26.1963 28.9767i 1.60620 1.77667i
\(267\) −1.76124 0.401078i −0.107786 0.0245456i
\(268\) 38.1715 + 18.3824i 2.33170 + 1.12289i
\(269\) 19.9681 + 6.15934i 1.21748 + 0.375541i 0.835944 0.548815i \(-0.184921\pi\)
0.381531 + 0.924356i \(0.375397\pi\)
\(270\) 21.2950 8.39401i 1.29597 0.510843i
\(271\) −0.452889 6.04338i −0.0275110 0.367109i −0.993920 0.110101i \(-0.964882\pi\)
0.966409 0.257008i \(-0.0827366\pi\)
\(272\) 2.09062 1.42536i 0.126763 0.0864252i
\(273\) 26.9270 + 3.68909i 1.62970 + 0.223274i
\(274\) −5.62469 3.83485i −0.339800 0.231672i
\(275\) 1.76594 3.05870i 0.106490 0.184447i
\(276\) −21.8219 23.4952i −1.31352 1.41424i
\(277\) −4.00435 2.73012i −0.240598 0.164037i 0.437018 0.899453i \(-0.356035\pi\)
−0.677616 + 0.735416i \(0.736987\pi\)
\(278\) 8.06667 20.5535i 0.483807 1.23272i
\(279\) −5.88737 + 15.0443i −0.352467 + 0.900681i
\(280\) 12.5495 3.03587i 0.749979 0.181428i
\(281\) −14.4601 13.4170i −0.862617 0.800392i 0.118672 0.992934i \(-0.462136\pi\)
−0.981289 + 0.192542i \(0.938327\pi\)
\(282\) 4.03023 + 26.6497i 0.239997 + 1.58697i
\(283\) 3.21639 14.0919i 0.191194 0.837677i −0.784777 0.619778i \(-0.787222\pi\)
0.975971 0.217899i \(-0.0699204\pi\)
\(284\) 13.5061 + 16.9361i 0.801439 + 1.00497i
\(285\) −21.9935 1.63729i −1.30278 0.0969845i
\(286\) 14.4020 + 36.6957i 0.851608 + 2.16986i
\(287\) 7.33264 2.98801i 0.432832 0.176377i
\(288\) 1.42336 + 18.7455i 0.0838723 + 1.10459i
\(289\) −3.59065 0.541203i −0.211214 0.0318355i
\(290\) 1.63628 + 21.8346i 0.0960856 + 1.28217i
\(291\) 20.3917 1.53825i 1.19538 0.0901741i
\(292\) −2.44509 2.26872i −0.143088 0.132767i
\(293\) 14.8541 + 25.7280i 0.867784 + 1.50305i 0.864256 + 0.503053i \(0.167790\pi\)
0.00352860 + 0.999994i \(0.498877\pi\)
\(294\) 3.36745 27.1939i 0.196394 1.58598i
\(295\) −1.24481 + 2.15607i −0.0724756 + 0.125532i
\(296\) 11.1547 3.44077i 0.648353 0.199990i
\(297\) 13.2230 7.66040i 0.767277 0.444501i
\(298\) 24.1561 16.4693i 1.39932 0.954042i
\(299\) −22.0278 + 27.6220i −1.27390 + 1.59742i
\(300\) 5.05613 + 4.02806i 0.291916 + 0.232560i
\(301\) 1.12482 0.921096i 0.0648335 0.0530911i
\(302\) −26.7428 4.03083i −1.53888 0.231948i
\(303\) −4.98074 10.3296i −0.286136 0.593420i
\(304\) 1.32954 3.38761i 0.0762543 0.194293i
\(305\) −17.2013 15.9605i −0.984942 0.913893i
\(306\) 19.1776 24.0966i 1.09631 1.37751i
\(307\) 2.52584 11.0664i 0.144157 0.631595i −0.850286 0.526321i \(-0.823571\pi\)
0.994443 0.105274i \(-0.0335718\pi\)
\(308\) 22.3942 9.12553i 1.27603 0.519975i
\(309\) 8.55032 12.5543i 0.486410 0.714189i
\(310\) 23.4570 3.53557i 1.33227 0.200807i
\(311\) 18.8438 9.07471i 1.06854 0.514580i 0.184901 0.982757i \(-0.440803\pi\)
0.883635 + 0.468177i \(0.155089\pi\)
\(312\) −25.0721 + 5.73555i −1.41943 + 0.324712i
\(313\) −16.6576 −0.941542 −0.470771 0.882255i \(-0.656024\pi\)
−0.470771 + 0.882255i \(0.656024\pi\)
\(314\) 18.4906 8.90459i 1.04348 0.502515i
\(315\) −13.2889 + 7.92130i −0.748744 + 0.446315i
\(316\) −42.7376 20.5813i −2.40418 1.15779i
\(317\) 8.11077 + 3.90594i 0.455546 + 0.219379i 0.647563 0.762012i \(-0.275788\pi\)
−0.192017 + 0.981392i \(0.561503\pi\)
\(318\) 11.3127 16.6103i 0.634386 0.931459i
\(319\) 3.25286 + 14.2517i 0.182125 + 0.797943i
\(320\) 21.0137 14.3269i 1.17470 0.800899i
\(321\) 18.8330 + 4.28875i 1.05116 + 0.239375i
\(322\) 28.1340 + 21.8461i 1.56785 + 1.21743i
\(323\) −26.7342 + 12.8745i −1.48753 + 0.716357i
\(324\) 10.2701 + 26.0168i 0.570558 + 1.44538i
\(325\) 3.56127 6.16829i 0.197543 0.342155i
\(326\) 8.85289 + 6.03580i 0.490316 + 0.334292i
\(327\) 2.02979 13.5119i 0.112247 0.747211i
\(328\) −5.49281 + 5.09659i −0.303290 + 0.281412i
\(329\) −5.59451 17.3365i −0.308435 0.955794i
\(330\) −19.4384 11.2100i −1.07005 0.617091i
\(331\) 1.54680 0.744900i 0.0850199 0.0409434i −0.390891 0.920437i \(-0.627833\pi\)
0.475910 + 0.879494i \(0.342119\pi\)
\(332\) −24.0866 22.3491i −1.32192 1.22657i
\(333\) −11.5488 + 7.89055i −0.632873 + 0.432400i
\(334\) 24.6691 22.8896i 1.34983 1.25246i
\(335\) 9.70756 + 24.7345i 0.530381 + 1.35139i
\(336\) −0.601460 2.48094i −0.0328123 0.135346i
\(337\) 1.82237 4.64331i 0.0992706 0.252937i −0.872607 0.488422i \(-0.837573\pi\)
0.971878 + 0.235485i \(0.0756678\pi\)
\(338\) 18.3097 + 46.6522i 0.995914 + 2.53755i
\(339\) 0.530835 + 0.120885i 0.0288310 + 0.00656555i
\(340\) −27.2069 4.10079i −1.47550 0.222396i
\(341\) 15.1338 4.66814i 0.819539 0.252794i
\(342\) 3.26648 44.1723i 0.176631 2.38857i
\(343\) 0.719415 + 18.5063i 0.0388448 + 0.999245i
\(344\) −0.687901 + 1.19148i −0.0370891 + 0.0642403i
\(345\) −0.00991006 20.1106i −0.000533540 1.08272i
\(346\) −8.94370 + 11.2150i −0.480816 + 0.602924i
\(347\) −13.0018 6.26135i −0.697975 0.336127i 0.0510247 0.998697i \(-0.483751\pi\)
−0.749000 + 0.662570i \(0.769466\pi\)
\(348\) −26.6803 + 2.01263i −1.43021 + 0.107888i
\(349\) 22.8106 3.43814i 1.22102 0.184039i 0.493268 0.869877i \(-0.335802\pi\)
0.727754 + 0.685838i \(0.240564\pi\)
\(350\) −6.26490 3.50965i −0.334873 0.187599i
\(351\) 26.6660 15.4482i 1.42333 0.824566i
\(352\) 13.5098 12.5352i 0.720074 0.668131i
\(353\) −9.90819 + 25.2457i −0.527360 + 1.34369i 0.380641 + 0.924723i \(0.375703\pi\)
−0.908001 + 0.418968i \(0.862392\pi\)
\(354\) −4.33139 2.49788i −0.230211 0.132761i
\(355\) −1.01526 + 13.5477i −0.0538845 + 0.719038i
\(356\) −3.09711 + 0.955333i −0.164147 + 0.0506325i
\(357\) −10.1641 + 18.1644i −0.537942 + 0.961363i
\(358\) −19.3043 5.95458i −1.02026 0.314709i
\(359\) −4.96522 + 12.6512i −0.262055 + 0.667704i −0.999974 0.00718454i \(-0.997713\pi\)
0.737920 + 0.674889i \(0.235808\pi\)
\(360\) 9.11679 11.4552i 0.480497 0.603744i
\(361\) −11.8383 + 20.5046i −0.623070 + 1.07919i
\(362\) 45.0615 2.36838
\(363\) 3.79089 + 1.48566i 0.198970 + 0.0779769i
\(364\) 45.1610 18.4029i 2.36708 0.964573i
\(365\) −0.156329 2.08606i −0.00818261 0.109189i
\(366\) 32.0372 34.5620i 1.67461 1.80659i
\(367\) 13.8937 12.8915i 0.725244 0.672928i −0.228501 0.973544i \(-0.573383\pi\)
0.953745 + 0.300615i \(0.0971920\pi\)
\(368\) 3.17100 + 0.978124i 0.165300 + 0.0509883i
\(369\) 4.48146 7.77981i 0.233295 0.405001i
\(370\) 18.5042 + 8.91115i 0.961988 + 0.463269i
\(371\) −5.73446 + 12.3132i −0.297718 + 0.639268i
\(372\) 4.33449 + 28.6616i 0.224733 + 1.48604i
\(373\) −4.19282 + 7.26218i −0.217096 + 0.376022i −0.953919 0.300064i \(-0.902992\pi\)
0.736823 + 0.676086i \(0.236325\pi\)
\(374\) −30.1905 −1.56111
\(375\) 3.13028 + 20.6988i 0.161647 + 1.06888i
\(376\) 10.7484 + 13.4781i 0.554306 + 0.695078i
\(377\) 6.55984 + 28.7405i 0.337849 + 1.48021i
\(378\) −15.9219 26.6809i −0.818935 1.37232i
\(379\) 2.24234 9.82435i 0.115182 0.504643i −0.884120 0.467261i \(-0.845241\pi\)
0.999301 0.0373824i \(-0.0119019\pi\)
\(380\) −35.6534 + 17.1698i −1.82898 + 0.880790i
\(381\) 20.7910 + 11.9900i 1.06516 + 0.614269i
\(382\) 2.81521 + 3.53016i 0.144039 + 0.180619i
\(383\) −5.09542 1.57173i −0.260364 0.0803116i 0.161825 0.986819i \(-0.448262\pi\)
−0.422189 + 0.906508i \(0.638738\pi\)
\(384\) 16.5570 + 24.2590i 0.844923 + 1.23796i
\(385\) 14.1884 + 5.35753i 0.723108 + 0.273045i
\(386\) 22.1330 + 27.7539i 1.12654 + 1.41264i
\(387\) 0.365240 1.60752i 0.0185662 0.0817150i
\(388\) 30.3171 20.6699i 1.53912 1.04935i
\(389\) −24.2466 3.65459i −1.22935 0.185295i −0.497928 0.867219i \(-0.665906\pi\)
−0.731423 + 0.681924i \(0.761144\pi\)
\(390\) −39.2002 22.6065i −1.98498 1.14473i
\(391\) −13.5287 23.4325i −0.684178 1.18503i
\(392\) −6.82345 16.1434i −0.344636 0.815363i
\(393\) −16.8833 18.1779i −0.851650 0.916954i
\(394\) −5.50452 + 24.1169i −0.277314 + 1.21499i
\(395\) −10.8688 27.6932i −0.546867 1.39339i
\(396\) 13.6866 23.7599i 0.687777 1.19398i
\(397\) −19.3824 2.92142i −0.972773 0.146622i −0.356621 0.934249i \(-0.616071\pi\)
−0.616152 + 0.787627i \(0.711309\pi\)
\(398\) −13.7539 + 2.07306i −0.689419 + 0.103913i
\(399\) 2.63832 + 29.8203i 0.132081 + 1.49288i
\(400\) −0.661526 0.0997090i −0.0330763 0.00498545i
\(401\) 19.4772 + 6.00792i 0.972644 + 0.300021i 0.740049 0.672553i \(-0.234802\pi\)
0.232595 + 0.972574i \(0.425278\pi\)
\(402\) −49.6659 + 19.5207i −2.47711 + 0.973603i
\(403\) 30.5193 9.41395i 1.52027 0.468942i
\(404\) −17.0011 11.5912i −0.845839 0.576683i
\(405\) −6.37664 + 16.3421i −0.316858 + 0.812044i
\(406\) 28.8883 6.98840i 1.43370 0.346829i
\(407\) 13.1026 + 4.04161i 0.649471 + 0.200335i
\(408\) 2.92617 19.4790i 0.144867 0.964355i
\(409\) −0.0310434 + 0.0149497i −0.00153500 + 0.000739216i −0.434651 0.900599i \(-0.643128\pi\)
0.433116 + 0.901338i \(0.357414\pi\)
\(410\) −13.1834 −0.651081
\(411\) 5.08580 1.16344i 0.250864 0.0573882i
\(412\) 2.03673 27.1782i 0.100342 1.33897i
\(413\) 3.16155 + 1.19380i 0.155570 + 0.0587430i
\(414\) 40.3891 0.0398058i 1.98502 0.00195635i
\(415\) −1.53999 20.5497i −0.0755951 1.00875i
\(416\) 27.2443 25.2790i 1.33576 1.23941i
\(417\) 7.34947 + 15.2421i 0.359905 + 0.746409i
\(418\) −35.8763 + 24.4601i −1.75477 + 1.19638i
\(419\) −0.631351 8.42479i −0.0308435 0.411578i −0.991161 0.132668i \(-0.957646\pi\)
0.960317 0.278911i \(-0.0899733\pi\)
\(420\) −13.5551 + 24.2245i −0.661421 + 1.18203i
\(421\) 0.335240 4.47346i 0.0163386 0.218023i −0.983058 0.183294i \(-0.941324\pi\)
0.999397 0.0347294i \(-0.0110569\pi\)
\(422\) −24.2540 42.0091i −1.18067 2.04497i
\(423\) −17.0782 11.6191i −0.830372 0.564940i
\(424\) 0.960578 12.8180i 0.0466498 0.622498i
\(425\) 3.40102 + 4.26474i 0.164974 + 0.206870i
\(426\) −27.2096 2.02559i −1.31831 0.0981404i
\(427\) −17.6005 + 26.5475i −0.851748 + 1.28472i
\(428\) 33.1175 10.2154i 1.60080 0.493781i
\(429\) −28.1282 11.0235i −1.35804 0.532220i
\(430\) −2.31306 + 0.713484i −0.111546 + 0.0344073i
\(431\) 6.49132 0.978409i 0.312676 0.0471283i 0.00917030 0.999958i \(-0.497081\pi\)
0.303506 + 0.952830i \(0.401843\pi\)
\(432\) −2.26576 1.80141i −0.109011 0.0866703i
\(433\) −11.1306 + 13.9573i −0.534901 + 0.670745i −0.973698 0.227841i \(-0.926833\pi\)
0.438797 + 0.898586i \(0.355405\pi\)
\(434\) −9.88893 30.6443i −0.474684 1.47097i
\(435\) −13.1247 10.4560i −0.629280 0.501327i
\(436\) −8.95690 22.8218i −0.428958 1.09297i
\(437\) −35.0615 16.8847i −1.67722 0.807706i
\(438\) 4.18939 0.316027i 0.200177 0.0151004i
\(439\) 0.726015 3.18088i 0.0346508 0.151815i −0.954643 0.297753i \(-0.903763\pi\)
0.989294 + 0.145938i \(0.0466200\pi\)
\(440\) −14.3522 −0.684213
\(441\) 13.5300 + 16.0605i 0.644284 + 0.764786i
\(442\) −60.8832 −2.89592
\(443\) 5.35958 23.4818i 0.254641 1.11566i −0.672249 0.740325i \(-0.734672\pi\)
0.926891 0.375331i \(-0.122471\pi\)
\(444\) −10.8780 + 22.6169i −0.516248 + 1.07335i
\(445\) −1.83141 0.881959i −0.0868170 0.0418089i
\(446\) −11.3882 29.0167i −0.539248 1.37398i
\(447\) −3.32851 + 22.1573i −0.157433 + 1.04801i
\(448\) −23.8073 25.0009i −1.12479 1.18118i
\(449\) 18.6649 23.4051i 0.880853 1.10456i −0.112972 0.993598i \(-0.536037\pi\)
0.993825 0.110957i \(-0.0353916\pi\)
\(450\) −8.05033 + 1.22151i −0.379496 + 0.0575824i
\(451\) −8.70325 + 1.31180i −0.409820 + 0.0617705i
\(452\) 0.933466 0.287936i 0.0439066 0.0135434i
\(453\) 16.1983 12.9308i 0.761064 0.607542i
\(454\) 1.54487 0.476530i 0.0725044 0.0223647i
\(455\) 28.6129 + 10.8042i 1.34139 + 0.506509i
\(456\) −12.3045 25.5183i −0.576210 1.19501i
\(457\) 6.79398 + 8.51938i 0.317809 + 0.398520i 0.914918 0.403641i \(-0.132255\pi\)
−0.597109 + 0.802160i \(0.703684\pi\)
\(458\) −3.96019 + 52.8451i −0.185048 + 2.46929i
\(459\) 3.55216 + 23.3329i 0.165800 + 1.08909i
\(460\) −18.0423 31.2501i −0.841224 1.45704i
\(461\) 2.11081 28.1669i 0.0983104 1.31186i −0.701958 0.712219i \(-0.747690\pi\)
0.800268 0.599642i \(-0.204691\pi\)
\(462\) −10.7458 + 28.5006i −0.499938 + 1.32597i
\(463\) 2.65858 + 35.4763i 0.123555 + 1.64873i 0.622885 + 0.782313i \(0.285960\pi\)
−0.499330 + 0.866412i \(0.666420\pi\)
\(464\) 2.28780 1.55980i 0.106208 0.0724117i
\(465\) −10.2337 + 15.0260i −0.474578 + 0.696815i
\(466\) −9.53363 + 8.84591i −0.441637 + 0.409779i
\(467\) 1.61727 + 21.5809i 0.0748381 + 0.998646i 0.900606 + 0.434636i \(0.143123\pi\)
−0.825768 + 0.564010i \(0.809258\pi\)
\(468\) 27.6009 47.9151i 1.27585 2.21488i
\(469\) 30.9996 18.4370i 1.43143 0.851343i
\(470\) −2.26661 + 30.2458i −0.104551 + 1.39514i
\(471\) −4.62860 + 15.0319i −0.213275 + 0.692632i
\(472\) −3.19804 −0.147202
\(473\) −1.45601 + 0.701179i −0.0669475 + 0.0322402i
\(474\) 55.6069 21.8557i 2.55411 1.00387i
\(475\) 7.49681 + 2.31246i 0.343977 + 0.106103i
\(476\) 0.483700 + 37.3449i 0.0221704 + 1.71170i
\(477\) 3.44200 + 15.0122i 0.157598 + 0.687359i
\(478\) −18.0723 12.3215i −0.826606 0.563571i
\(479\) 1.40562 0.433577i 0.0642245 0.0198106i −0.262476 0.964938i \(-0.584539\pi\)
0.326701 + 0.945128i \(0.394063\pi\)
\(480\) −3.14276 + 20.9208i −0.143447 + 0.954898i
\(481\) 26.4232 + 8.15046i 1.20479 + 0.371629i
\(482\) 14.6114 + 2.20231i 0.665530 + 0.100312i
\(483\) −26.9362 + 4.43112i −1.22564 + 0.201623i
\(484\) 7.22411 1.08886i 0.328369 0.0494936i
\(485\) 22.7555 + 3.42984i 1.03327 + 0.155741i
\(486\) −32.8269 12.7904i −1.48906 0.580183i
\(487\) −1.84263 4.69495i −0.0834977 0.212749i 0.883027 0.469322i \(-0.155502\pi\)
−0.966525 + 0.256573i \(0.917406\pi\)
\(488\) 6.70730 29.3866i 0.303625 1.33027i
\(489\) −8.00471 + 1.83117i −0.361986 + 0.0828086i
\(490\) 10.5184 28.9864i 0.475171 1.30947i
\(491\) −8.01971 13.8905i −0.361924 0.626871i 0.626353 0.779539i \(-0.284547\pi\)
−0.988278 + 0.152668i \(0.951213\pi\)
\(492\) −0.00793852 16.1097i −0.000357896 0.726282i
\(493\) −22.3249 3.36494i −1.00546 0.151549i
\(494\) −72.3496 + 49.3271i −3.25516 + 2.21933i
\(495\) 16.4279 5.08506i 0.738377 0.228556i
\(496\) −1.87038 2.34538i −0.0839826 0.105311i
\(497\) 18.3704 1.61618i 0.824025 0.0724954i
\(498\) 41.2696 3.11318i 1.84933 0.139505i
\(499\) −35.1829 10.8525i −1.57500 0.485824i −0.620545 0.784171i \(-0.713089\pi\)
−0.954458 + 0.298347i \(0.903565\pi\)
\(500\) 23.4197 + 29.3674i 1.04736 + 1.31335i
\(501\) 0.0127090 + 25.7906i 0.000567798 + 1.15224i
\(502\) 32.9465 15.8662i 1.47047 0.708143i
\(503\) 9.15581 40.1142i 0.408237 1.78861i −0.184092 0.982909i \(-0.558934\pi\)
0.592329 0.805696i \(-0.298208\pi\)
\(504\) −17.3472 9.69560i −0.772706 0.431877i
\(505\) −2.87161 12.5813i −0.127785 0.559863i
\(506\) −24.6866 30.9561i −1.09746 1.37617i
\(507\) −35.7601 14.0145i −1.58816 0.622405i
\(508\) 43.0643 1.91067
\(509\) −3.88933 + 6.73652i −0.172391 + 0.298591i −0.939255 0.343219i \(-0.888483\pi\)
0.766864 + 0.641810i \(0.221816\pi\)
\(510\) 27.0846 21.6211i 1.19933 0.957397i
\(511\) −2.75996 + 0.667665i −0.122094 + 0.0295358i
\(512\) −5.65841 2.72495i −0.250069 0.120427i
\(513\) 23.1253 + 24.8494i 1.02101 + 1.09713i
\(514\) 26.7914 + 8.26406i 1.18172 + 0.364512i
\(515\) 12.5301 11.6262i 0.552141 0.512312i
\(516\) −0.873249 2.82606i −0.0384426 0.124410i
\(517\) 1.51325 + 20.1929i 0.0665525 + 0.888081i
\(518\) 7.87165 26.7442i 0.345861 1.17507i
\(519\) −1.64383 10.8698i −0.0721562 0.477130i
\(520\) −28.9431 −1.26924
\(521\) 18.5916 32.2016i 0.814514 1.41078i −0.0951625 0.995462i \(-0.530337\pi\)
0.909676 0.415318i \(-0.136330\pi\)
\(522\) 20.9863 26.3693i 0.918547 1.15415i
\(523\) −5.08898 + 12.9665i −0.222525 + 0.566985i −0.997918 0.0644939i \(-0.979457\pi\)
0.775393 + 0.631479i \(0.217552\pi\)
\(524\) −42.5371 13.1209i −1.85824 0.573191i
\(525\) 5.23657 1.69269i 0.228542 0.0738752i
\(526\) −14.7189 + 4.54018i −0.641774 + 0.197961i
\(527\) −1.82790 + 24.3916i −0.0796244 + 1.06251i
\(528\) 0.00139833 + 2.83764i 6.08544e−5 + 0.123492i
\(529\) 4.56145 11.6224i 0.198324 0.505321i
\(530\) 16.5782 15.3824i 0.720113 0.668167i
\(531\) 3.66056 1.13308i 0.158855 0.0491717i
\(532\) 30.8314 + 43.9864i 1.33671 + 1.90705i
\(533\) −17.5513 + 2.64543i −0.760231 + 0.114586i
\(534\) 1.76947 3.67898i 0.0765726 0.159205i
\(535\) 19.5833 + 9.43083i 0.846660 + 0.407730i
\(536\) −21.2810 + 26.6855i −0.919200 + 1.15264i
\(537\) 13.4041 7.74769i 0.578431 0.334338i
\(538\) −23.6135 + 40.8998i −1.01805 + 1.76332i
\(539\) 4.05961 20.1825i 0.174860 0.869322i
\(540\) 4.73724 + 31.1173i 0.203858 + 1.33908i
\(541\) −28.4994 + 8.79090i −1.22529 + 0.377950i −0.838848 0.544365i \(-0.816770\pi\)
−0.386437 + 0.922316i \(0.626294\pi\)
\(542\) 13.5437 + 2.04138i 0.581750 + 0.0876847i
\(543\) −23.4767 + 25.3269i −1.00748 + 1.08688i
\(544\) 10.3988 + 26.4958i 0.445847 + 1.13600i
\(545\) 5.61746 14.3130i 0.240625 0.613103i
\(546\) −21.6703 + 57.4754i −0.927404 + 2.45972i
\(547\) −13.5340 34.4840i −0.578671 1.47443i −0.857702 0.514147i \(-0.828109\pi\)
0.279031 0.960282i \(-0.409987\pi\)
\(548\) 6.86225 6.36724i 0.293141 0.271995i
\(549\) 2.73450 + 36.0131i 0.116706 + 1.53700i
\(550\) 5.85139 + 5.42930i 0.249504 + 0.231506i
\(551\) −29.2557 + 14.0888i −1.24633 + 0.600203i
\(552\) 22.3657 12.9275i 0.951948 0.550233i
\(553\) −34.7078 + 20.6424i −1.47592 + 0.877806i
\(554\) 8.02933 7.45013i 0.341133 0.316526i
\(555\) −14.6491 + 5.75767i −0.621818 + 0.244399i
\(556\) 25.0865 + 17.1037i 1.06390 + 0.725358i
\(557\) 14.6418 25.3604i 0.620393 1.07455i −0.369019 0.929422i \(-0.620306\pi\)
0.989412 0.145131i \(-0.0463604\pi\)
\(558\) −30.1877 20.5381i −1.27795 0.869446i
\(559\) −2.93625 + 1.41402i −0.124190 + 0.0598068i
\(560\) −0.0372052 2.87249i −0.00157221 0.121385i
\(561\) 15.7290 16.9686i 0.664078 0.716414i
\(562\) 36.8350 25.1136i 1.55379 1.05936i
\(563\) −1.26641 5.54850i −0.0533728 0.233842i 0.941205 0.337836i \(-0.109695\pi\)
−0.994578 + 0.103994i \(0.966838\pi\)
\(564\) −36.9608 2.75152i −1.55633 0.115860i
\(565\) 0.551984 + 0.265821i 0.0232221 + 0.0111832i
\(566\) 29.4324 + 14.1739i 1.23714 + 0.595773i
\(567\) 23.2912 + 4.95161i 0.978140 + 0.207948i
\(568\) −15.7233 + 7.57193i −0.659734 + 0.317711i
\(569\) −8.10313 −0.339701 −0.169850 0.985470i \(-0.554328\pi\)
−0.169850 + 0.985470i \(0.554328\pi\)
\(570\) 14.6683 47.6368i 0.614387 1.99529i
\(571\) 0.505195 0.243289i 0.0211417 0.0101813i −0.423283 0.905998i \(-0.639122\pi\)
0.444425 + 0.895816i \(0.353408\pi\)
\(572\) −53.6025 + 8.07928i −2.24123 + 0.337812i
\(573\) −3.45083 0.256894i −0.144161 0.0107319i
\(574\) 2.89610 + 17.6593i 0.120881 + 0.737086i
\(575\) −1.59189 + 6.97453i −0.0663865 + 0.290858i
\(576\) −38.7138 5.79616i −1.61308 0.241506i
\(577\) 9.06540 + 8.41146i 0.377397 + 0.350174i 0.845950 0.533262i \(-0.179034\pi\)
−0.468553 + 0.883435i \(0.655224\pi\)
\(578\) 2.99824 7.63940i 0.124711 0.317757i
\(579\) −27.1303 2.01969i −1.12750 0.0839354i
\(580\) −29.7730 4.48756i −1.23626 0.186336i
\(581\) −27.1884 + 6.57716i −1.12796 + 0.272867i
\(582\) −6.86581 + 45.7045i −0.284597 + 1.89451i
\(583\) 9.41382 11.8046i 0.389881 0.488895i
\(584\) 2.22024 1.51373i 0.0918741 0.0626387i
\(585\) 33.1290 10.2547i 1.36972 0.423980i
\(586\) −64.1590 + 19.7904i −2.65038 + 0.817535i
\(587\) −2.22141 + 3.84759i −0.0916873 + 0.158807i −0.908221 0.418490i \(-0.862559\pi\)
0.816534 + 0.577297i \(0.195893\pi\)
\(588\) 35.4268 + 12.8357i 1.46098 + 0.529333i
\(589\) 17.5897 + 30.4663i 0.724771 + 1.25534i
\(590\) −4.12464 3.82711i −0.169809 0.157559i
\(591\) −10.6871 15.6585i −0.439609 0.644106i
\(592\) −0.194092 2.58997i −0.00797712 0.106447i
\(593\) −14.9364 2.25130i −0.613365 0.0924499i −0.164990 0.986295i \(-0.552759\pi\)
−0.448375 + 0.893845i \(0.647997\pi\)
\(594\) 10.2288 + 32.9879i 0.419695 + 1.35351i
\(595\) −15.7082 + 17.3755i −0.643975 + 0.712325i
\(596\) 14.6878 + 37.4240i 0.601637 + 1.53295i
\(597\) 6.00049 8.81043i 0.245584 0.360587i
\(598\) −49.7840 62.4272i −2.03582 2.55284i
\(599\) 3.58790 15.7196i 0.146598 0.642287i −0.847218 0.531245i \(-0.821724\pi\)
0.993816 0.111041i \(-0.0354186\pi\)
\(600\) −4.07015 + 3.24912i −0.166163 + 0.132645i
\(601\) −12.4531 11.5548i −0.507974 0.471331i 0.384054 0.923310i \(-0.374527\pi\)
−0.892028 + 0.451980i \(0.850718\pi\)
\(602\) 1.46385 + 2.94164i 0.0596620 + 0.119892i
\(603\) 14.9039 38.0849i 0.606935 1.55094i
\(604\) 13.5870 34.6190i 0.552846 1.40863i
\(605\) 3.78573 + 2.58107i 0.153912 + 0.104935i
\(606\) 25.2649 5.77966i 1.02632 0.234783i
\(607\) −5.45278 + 9.44449i −0.221321 + 0.383340i −0.955209 0.295931i \(-0.904370\pi\)
0.733888 + 0.679270i \(0.237704\pi\)
\(608\) 33.8240 + 23.0608i 1.37174 + 0.935239i
\(609\) −11.1228 + 19.8776i −0.450717 + 0.805482i
\(610\) 43.8177 29.8744i 1.77413 1.20958i
\(611\) 3.05167 + 40.7217i 0.123457 + 1.64742i
\(612\) 26.4366 + 33.0835i 1.06864 + 1.33732i
\(613\) −22.3272 6.88703i −0.901787 0.278164i −0.191015 0.981587i \(-0.561178\pi\)
−0.710772 + 0.703423i \(0.751654\pi\)
\(614\) 23.1134 + 11.1308i 0.932779 + 0.449203i
\(615\) 6.86844 7.40974i 0.276962 0.298789i
\(616\) 3.15286 + 19.2249i 0.127032 + 0.774595i
\(617\) 15.6585 + 10.6758i 0.630387 + 0.429790i 0.835914 0.548861i \(-0.184938\pi\)
−0.205527 + 0.978651i \(0.565891\pi\)
\(618\) 23.3619 + 25.1533i 0.939755 + 1.01181i
\(619\) 9.33999 + 16.1773i 0.375406 + 0.650222i 0.990388 0.138319i \(-0.0441700\pi\)
−0.614982 + 0.788541i \(0.710837\pi\)
\(620\) −2.43772 + 32.5292i −0.0979013 + 1.30640i
\(621\) −21.0200 + 22.7215i −0.843505 + 0.911782i
\(622\) 10.5184 + 46.0840i 0.421748 + 1.84780i
\(623\) −0.779077 + 2.64694i −0.0312131 + 0.106048i
\(624\) 0.00281992 + 5.72249i 0.000112887 + 0.229083i
\(625\) −1.31175 + 17.5040i −0.0524699 + 0.700162i
\(626\) 8.37724 36.7031i 0.334822 1.46695i
\(627\) 4.94348 32.9078i 0.197423 1.31421i
\(628\) 6.27986 + 27.5139i 0.250594 + 1.09792i
\(629\) −13.2037 + 16.5569i −0.526466 + 0.660167i
\(630\) −10.7706 33.2642i −0.429111 1.32528i
\(631\) 11.1331 + 13.9604i 0.443201 + 0.555757i 0.952384 0.304902i \(-0.0986237\pi\)
−0.509183 + 0.860658i \(0.670052\pi\)
\(632\) 23.8266 29.8776i 0.947772 1.18847i
\(633\) 36.2474 + 8.25445i 1.44071 + 0.328085i
\(634\) −12.6853 + 15.9068i −0.503796 + 0.631741i
\(635\) 19.7986 + 18.3704i 0.785684 + 0.729008i
\(636\) 18.8068 + 20.2489i 0.745737 + 0.802920i
\(637\) 8.18676 40.7008i 0.324371 1.61262i
\(638\) −33.0379 −1.30798
\(639\) 15.3145 14.2379i 0.605831 0.563241i
\(640\) 12.0751 + 30.7668i 0.477310 + 1.21617i
\(641\) −0.490003 6.53864i −0.0193540 0.258261i −0.998485 0.0550294i \(-0.982475\pi\)
0.979131 0.203231i \(-0.0651443\pi\)
\(642\) −18.9210 + 39.3395i −0.746754 + 1.55261i
\(643\) 8.42007 21.4540i 0.332055 0.846063i −0.663171 0.748468i \(-0.730790\pi\)
0.995226 0.0975952i \(-0.0311150\pi\)
\(644\) −37.8965 + 31.0328i −1.49333 + 1.22286i
\(645\) 0.804070 1.67178i 0.0316602 0.0658261i
\(646\) −14.9227 65.3805i −0.587124 2.57236i
\(647\) 44.1024 6.64737i 1.73384 0.261335i 0.795231 0.606306i \(-0.207349\pi\)
0.938613 + 0.344971i \(0.112111\pi\)
\(648\) −22.2753 + 3.40239i −0.875058 + 0.133658i
\(649\) −3.10377 2.11611i −0.121834 0.0830647i
\(650\) 11.8001 + 10.9489i 0.462840 + 0.429452i
\(651\) 22.3757 + 10.4073i 0.876973 + 0.407896i
\(652\) −10.8007 + 10.0216i −0.422989 + 0.392477i
\(653\) 35.0375 5.28106i 1.37112 0.206664i 0.578156 0.815926i \(-0.303772\pi\)
0.792969 + 0.609262i \(0.208534\pi\)
\(654\) 28.7512 + 11.2677i 1.12426 + 0.440601i
\(655\) −13.9590 24.1778i −0.545425 0.944704i
\(656\) 0.833581 + 1.44380i 0.0325459 + 0.0563711i
\(657\) −2.00501 + 2.51930i −0.0782230 + 0.0982871i
\(658\) 41.0126 3.60818i 1.59884 0.140661i
\(659\) 32.0713 21.8658i 1.24932 0.851771i 0.255944 0.966692i \(-0.417614\pi\)
0.993375 + 0.114921i \(0.0366613\pi\)
\(660\) 20.9765 22.6297i 0.816511 0.880860i
\(661\) −1.70419 7.46656i −0.0662855 0.290416i 0.930911 0.365247i \(-0.119015\pi\)
−0.997196 + 0.0748311i \(0.976158\pi\)
\(662\) 0.863403 + 3.78282i 0.0335571 + 0.147023i
\(663\) 31.7197 34.2195i 1.23189 1.32897i
\(664\) 21.8715 14.9118i 0.848780 0.578688i
\(665\) −4.58917 + 33.3746i −0.177960 + 1.29421i
\(666\) −11.5779 29.4148i −0.448635 1.13980i
\(667\) −14.8047 25.6425i −0.573241 0.992883i
\(668\) 23.1381 + 40.0763i 0.895238 + 1.55060i
\(669\) 22.2421 + 8.71672i 0.859928 + 0.337008i
\(670\) −59.3816 + 8.95033i −2.29411 + 0.345782i
\(671\) 25.9544 24.0822i 1.00196 0.929682i
\(672\) 28.7141 0.386063i 1.10767 0.0148927i
\(673\) −1.50627 1.39761i −0.0580623 0.0538739i 0.650608 0.759414i \(-0.274514\pi\)
−0.708670 + 0.705540i \(0.750705\pi\)
\(674\) 9.31453 + 6.35054i 0.358782 + 0.244614i
\(675\) 3.50761 5.16109i 0.135008 0.198651i
\(676\) −68.1463 + 10.2714i −2.62101 + 0.395054i
\(677\) −1.78364 7.81464i −0.0685509 0.300341i 0.929017 0.370036i \(-0.120655\pi\)
−0.997568 + 0.0696948i \(0.977797\pi\)
\(678\) −0.533317 + 1.10884i −0.0204819 + 0.0425848i
\(679\) −0.404560 31.2348i −0.0155256 1.19868i
\(680\) 8.09821 20.6339i 0.310552 0.791275i
\(681\) −0.537032 + 1.11657i −0.0205791 + 0.0427869i
\(682\) 2.67483 + 35.6931i 0.102425 + 1.36676i
\(683\) −13.6565 34.7961i −0.522550 1.33144i −0.911925 0.410357i \(-0.865404\pi\)
0.389374 0.921080i \(-0.372691\pi\)
\(684\) 58.2195 + 17.8955i 2.22608 + 0.684253i
\(685\) 5.87103 0.224320
\(686\) −41.1383 7.72182i −1.57067 0.294820i
\(687\) −27.6384 29.7577i −1.05447 1.13533i
\(688\) 0.224392 + 0.208206i 0.00855488 + 0.00793777i
\(689\) 18.9843 23.8055i 0.723243 0.906917i
\(690\) 44.3163 + 10.0919i 1.68709 + 0.384194i
\(691\) 22.0081 27.5973i 0.837228 1.04985i −0.160794 0.986988i \(-0.551405\pi\)
0.998022 0.0628629i \(-0.0200231\pi\)
\(692\) −12.2986 15.4220i −0.467523 0.586255i
\(693\) −10.4203 20.8883i −0.395836 0.793479i
\(694\) 20.3349 25.4992i 0.771903 0.967935i
\(695\) 4.23728 + 18.5648i 0.160729 + 0.704201i
\(696\) 3.20216 21.3162i 0.121378 0.807989i
\(697\) 3.02485 13.2527i 0.114574 0.501983i
\(698\) −3.89608 + 51.9896i −0.147469 + 1.96783i
\(699\) −0.00491154 9.96703i −0.000185772 0.376988i
\(700\) 6.62218 7.32503i 0.250295 0.276860i
\(701\) 9.51687 + 41.6961i 0.359447 + 1.57484i 0.754575 + 0.656214i \(0.227843\pi\)
−0.395128 + 0.918626i \(0.629300\pi\)
\(702\) 20.6279 + 66.5246i 0.778549 + 2.51081i
\(703\) −2.27612 + 30.3727i −0.0858454 + 1.14553i
\(704\) 19.1875 + 33.2337i 0.723155 + 1.25254i
\(705\) −15.8188 17.0318i −0.595770 0.641454i
\(706\) −50.6430 34.5278i −1.90597 1.29947i
\(707\) −16.2221 + 6.61040i −0.610093 + 0.248610i
\(708\) 4.67412 5.04249i 0.175664 0.189508i
\(709\) 2.15729 + 1.03889i 0.0810186 + 0.0390165i 0.473954 0.880549i \(-0.342826\pi\)
−0.392936 + 0.919566i \(0.628540\pi\)
\(710\) −29.3403 9.05028i −1.10112 0.339651i
\(711\) −16.6867 + 42.6406i −0.625800 + 1.59915i
\(712\) −0.195129 2.60382i −0.00731277 0.0975821i
\(713\) −26.5048 + 18.0707i −0.992612 + 0.676751i
\(714\) −34.9116 31.5305i −1.30653 1.18000i
\(715\) −28.0899 19.1514i −1.05050 0.716221i
\(716\) 13.8899 24.0580i 0.519089 0.899088i
\(717\) 16.3408 3.73815i 0.610258 0.139604i
\(718\) −25.3784 17.3027i −0.947113 0.645731i
\(719\) −3.03220 + 7.72593i −0.113082 + 0.288128i −0.976199 0.216875i \(-0.930414\pi\)
0.863117 + 0.505004i \(0.168509\pi\)
\(720\) −2.03345 2.54471i −0.0757821 0.0948359i
\(721\) −18.3261 14.2302i −0.682498 0.529960i
\(722\) −39.2259 36.3963i −1.45984 1.35453i
\(723\) −8.85022 + 7.06495i −0.329143 + 0.262748i
\(724\) −13.7885 + 60.4112i −0.512444 + 2.24516i
\(725\) 3.72179 + 4.66698i 0.138224 + 0.173327i
\(726\) −5.17995 + 7.60564i −0.192246 + 0.282272i
\(727\) 5.70969 + 14.5481i 0.211761 + 0.539557i 0.996804 0.0798831i \(-0.0254547\pi\)
−0.785044 + 0.619441i \(0.787359\pi\)
\(728\) 6.35817 + 38.7697i 0.235649 + 1.43690i
\(729\) 24.2914 11.7867i 0.899682 0.436546i
\(730\) 4.67501 + 0.704645i 0.173030 + 0.0260801i
\(731\) −0.186519 2.48893i −0.00689867 0.0920563i
\(732\) 36.5320 + 53.5259i 1.35026 + 1.97838i
\(733\) 24.7000 + 22.9182i 0.912315 + 0.846504i 0.988598 0.150582i \(-0.0481147\pi\)
−0.0762827 + 0.997086i \(0.524305\pi\)
\(734\) 21.4176 + 37.0964i 0.790538 + 1.36925i
\(735\) 10.8118 + 21.0135i 0.398801 + 0.775095i
\(736\) −18.6646 + 32.3281i −0.687987 + 1.19163i
\(737\) −38.3112 + 11.8175i −1.41121 + 0.435301i
\(738\) 14.8882 + 13.7869i 0.548041 + 0.507503i
\(739\) −41.0041 + 27.9561i −1.50836 + 1.02838i −0.524098 + 0.851658i \(0.675598\pi\)
−0.984260 + 0.176724i \(0.943450\pi\)
\(740\) −17.6088 + 22.0807i −0.647311 + 0.811702i
\(741\) 9.96920 66.3632i 0.366228 2.43791i
\(742\) −24.2468 18.8276i −0.890127 0.691184i
\(743\) 23.9346 + 3.60756i 0.878076 + 0.132349i 0.572584 0.819846i \(-0.305941\pi\)
0.305492 + 0.952195i \(0.401179\pi\)
\(744\) −23.2886 1.73370i −0.853802 0.0635606i
\(745\) −9.21169 + 23.4710i −0.337490 + 0.859911i
\(746\) −13.8928 12.8906i −0.508651 0.471959i
\(747\) −19.7514 + 24.8176i −0.722664 + 0.908027i
\(748\) 9.23803 40.4744i 0.337776 1.47989i
\(749\) 8.33070 28.3039i 0.304397 1.03420i
\(750\) −47.1818 3.51240i −1.72283 0.128255i
\(751\) −31.5913 + 4.76162i −1.15278 + 0.173754i −0.697495 0.716590i \(-0.745702\pi\)
−0.455288 + 0.890344i \(0.650464\pi\)
\(752\) 3.45574 1.66420i 0.126018 0.0606871i
\(753\) −8.24725 + 26.7838i −0.300547 + 0.976055i
\(754\) −66.6255 −2.42636
\(755\) 21.0144 10.1200i 0.764791 0.368304i
\(756\) 40.6414 13.1814i 1.47811 0.479402i
\(757\) −2.57739 1.24121i −0.0936770 0.0451124i 0.386459 0.922307i \(-0.373698\pi\)
−0.480136 + 0.877194i \(0.659413\pi\)
\(758\) 20.5191 + 9.88150i 0.745289 + 0.358912i
\(759\) 30.2604 + 2.25271i 1.09838 + 0.0817682i
\(760\) −7.09406 31.0811i −0.257328 1.12743i
\(761\) −41.1501 + 28.0556i −1.49169 + 1.01702i −0.503463 + 0.864017i \(0.667941\pi\)
−0.988226 + 0.153000i \(0.951107\pi\)
\(762\) −36.8747 + 39.7808i −1.33583 + 1.44110i
\(763\) −20.4066 4.38040i −0.738767 0.158581i
\(764\) −5.59409 + 2.69397i −0.202387 + 0.0974646i
\(765\) −1.95870 + 26.4873i −0.0708170 + 0.957651i
\(766\) 6.02565 10.4367i 0.217716 0.377095i
\(767\) −6.25917 4.26743i −0.226006 0.154088i
\(768\) −19.7103 + 7.74692i −0.711233 + 0.279543i
\(769\) 26.1465 24.2604i 0.942867 0.874853i −0.0494246 0.998778i \(-0.515739\pi\)
0.992292 + 0.123925i \(0.0395483\pi\)
\(770\) −18.9402 + 28.5682i −0.682557 + 1.02953i
\(771\) −18.6029 + <