Properties

Label 441.2.y.a.121.14
Level $441$
Weight $2$
Character 441.121
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 121.14
Character \(\chi\) \(=\) 441.121
Dual form 441.2.y.a.277.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33704 + 0.643883i) q^{2} +(1.30409 + 1.13989i) q^{3} +(0.126103 - 0.158129i) q^{4} +(3.60505 - 1.11201i) q^{5} +(-2.47757 - 0.684393i) q^{6} +(-0.518907 + 2.59437i) q^{7} +(0.593653 - 2.60096i) q^{8} +(0.401303 + 2.97304i) q^{9} +O(q^{10})\) \(q+(-1.33704 + 0.643883i) q^{2} +(1.30409 + 1.13989i) q^{3} +(0.126103 - 0.158129i) q^{4} +(3.60505 - 1.11201i) q^{5} +(-2.47757 - 0.684393i) q^{6} +(-0.518907 + 2.59437i) q^{7} +(0.593653 - 2.60096i) q^{8} +(0.401303 + 2.97304i) q^{9} +(-4.10409 + 3.80804i) q^{10} +(-0.253822 + 3.38702i) q^{11} +(0.344700 - 0.0624701i) q^{12} +(0.343112 - 4.57851i) q^{13} +(-0.976670 - 3.80288i) q^{14} +(5.96889 + 2.65920i) q^{15} +(0.970993 + 4.25420i) q^{16} +(-1.28155 + 3.26534i) q^{17} +(-2.45085 - 3.71667i) q^{18} +(2.34967 - 4.06975i) q^{19} +(0.278769 - 0.710291i) q^{20} +(-3.63399 + 2.79179i) q^{21} +(-1.84148 - 4.69201i) q^{22} +(4.92073 + 0.741681i) q^{23} +(3.73899 - 2.71519i) q^{24} +(7.62866 - 5.20113i) q^{25} +(2.48927 + 6.34256i) q^{26} +(-2.86560 + 4.33455i) q^{27} +(0.344808 + 0.409213i) q^{28} +(0.819201 - 2.08729i) q^{29} +(-9.69284 + 0.287817i) q^{30} -5.72451 q^{31} +(-0.710701 - 0.891190i) q^{32} +(-4.19184 + 4.12766i) q^{33} +(-0.389015 - 5.19105i) q^{34} +(1.01428 + 9.92986i) q^{35} +(0.520728 + 0.311453i) q^{36} +(-8.60873 + 1.29756i) q^{37} +(-0.521154 + 6.95432i) q^{38} +(5.66644 - 5.57968i) q^{39} +(-0.752152 - 10.0368i) q^{40} +(2.46576 + 2.28789i) q^{41} +(3.06120 - 6.07260i) q^{42} +(1.90507 - 1.76765i) q^{43} +(0.503578 + 0.467252i) q^{44} +(4.75277 + 10.2717i) q^{45} +(-7.05676 + 2.17672i) q^{46} +(-5.93255 + 2.85696i) q^{47} +(-3.58305 + 6.65468i) q^{48} +(-6.46147 - 2.69247i) q^{49} +(-6.85088 + 11.8661i) q^{50} +(-5.39339 + 2.79747i) q^{51} +(-0.680726 - 0.631621i) q^{52} +(-4.51251 - 0.680152i) q^{53} +(1.04047 - 7.64057i) q^{54} +(2.85137 + 12.4927i) q^{55} +(6.43980 + 2.88981i) q^{56} +(7.70325 - 2.62896i) q^{57} +(0.248669 + 3.31825i) q^{58} +(2.11598 + 9.27074i) q^{59} +(1.17319 - 0.608518i) q^{60} +(-3.11764 - 3.90939i) q^{61} +(7.65388 - 3.68592i) q^{62} +(-7.92139 - 0.501604i) q^{63} +(-6.33888 - 3.05265i) q^{64} +(-3.85442 - 16.8873i) q^{65} +(2.94692 - 8.21789i) q^{66} +14.2923 q^{67} +(0.354736 + 0.614421i) q^{68} +(5.57164 + 6.57631i) q^{69} +(-7.74980 - 12.6235i) q^{70} +(5.88322 - 7.37733i) q^{71} +(7.97100 + 0.721179i) q^{72} +(-0.305183 - 4.07239i) q^{73} +(10.6747 - 7.27790i) q^{74} +(15.8772 + 1.91308i) q^{75} +(-0.347243 - 0.884760i) q^{76} +(-8.65547 - 2.41606i) q^{77} +(-3.98358 + 11.1088i) q^{78} +1.23324 q^{79} +(8.23120 + 14.2569i) q^{80} +(-8.67791 + 2.38618i) q^{81} +(-4.76994 - 1.47133i) q^{82} +(-0.417203 - 5.56719i) q^{83} +(-0.0167968 + 0.926693i) q^{84} +(-0.988966 + 13.1968i) q^{85} +(-1.40899 + 3.59006i) q^{86} +(3.44759 - 1.78822i) q^{87} +(8.65885 + 2.67090i) q^{88} +(-1.11646 + 0.761192i) q^{89} +(-12.9684 - 10.6734i) q^{90} +(11.7003 + 3.26598i) q^{91} +(0.737802 - 0.684581i) q^{92} +(-7.46528 - 6.52531i) q^{93} +(6.09249 - 7.63974i) q^{94} +(3.94508 - 17.2845i) q^{95} +(0.0890409 - 1.97231i) q^{96} +(-6.47663 - 11.2178i) q^{97} +(10.3729 - 0.560498i) q^{98} +(-10.1716 + 0.604599i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} + O(q^{10}) \) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} - 22q^{10} - 8q^{11} - 64q^{12} - 4q^{13} - 26q^{14} - 4q^{15} - 97q^{16} - 37q^{17} - q^{18} - 14q^{19} - 11q^{20} - 33q^{21} - q^{22} + 31q^{23} - 20q^{24} + 38q^{25} - 44q^{26} - 49q^{27} - 22q^{28} + 73q^{29} - 12q^{30} - 20q^{31} - q^{32} - 43q^{33} - 7q^{34} - 32q^{35} + 20q^{36} - 39q^{37} - 40q^{38} + q^{39} - q^{40} - 17q^{41} + 82q^{42} - q^{43} - 31q^{44} - 177q^{45} + 56q^{46} + 5q^{47} - 23q^{48} - q^{49} - 21q^{50} - 18q^{51} - 48q^{52} + 50q^{53} - 15q^{54} + 20q^{55} + 127q^{56} + 33q^{57} - 82q^{58} + 53q^{59} + 43q^{60} + 42q^{61} - 30q^{62} + 57q^{63} - 88q^{64} - 11q^{65} - 90q^{66} - 26q^{67} + 145q^{68} + 64q^{69} - 46q^{70} - 19q^{71} - 46q^{72} - 40q^{73} + 18q^{74} - 114q^{75} + 43q^{76} + 7q^{77} - 129q^{78} - 26q^{79} + 163q^{80} + 85q^{81} - 28q^{82} - 221q^{83} - 113q^{84} - 10q^{85} - 18q^{86} + 37q^{87} - 4q^{88} - 104q^{89} - 60q^{90} - 49q^{91} + 119q^{92} - 149q^{93} - 13q^{94} + 37q^{95} + 186q^{96} - 11q^{97} - 33q^{98} + 62q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33704 + 0.643883i −0.945428 + 0.455294i −0.842081 0.539351i \(-0.818670\pi\)
−0.103347 + 0.994645i \(0.532955\pi\)
\(3\) 1.30409 + 1.13989i 0.752917 + 0.658116i
\(4\) 0.126103 0.158129i 0.0630517 0.0790644i
\(5\) 3.60505 1.11201i 1.61223 0.497307i 0.647836 0.761780i \(-0.275674\pi\)
0.964393 + 0.264473i \(0.0851979\pi\)
\(6\) −2.47757 0.684393i −1.01147 0.279402i
\(7\) −0.518907 + 2.59437i −0.196129 + 0.980578i
\(8\) 0.593653 2.60096i 0.209888 0.919580i
\(9\) 0.401303 + 2.97304i 0.133768 + 0.991013i
\(10\) −4.10409 + 3.80804i −1.29783 + 1.20421i
\(11\) −0.253822 + 3.38702i −0.0765303 + 1.02123i 0.818292 + 0.574803i \(0.194921\pi\)
−0.894822 + 0.446423i \(0.852698\pi\)
\(12\) 0.344700 0.0624701i 0.0995062 0.0180336i
\(13\) 0.343112 4.57851i 0.0951621 1.26985i −0.721370 0.692550i \(-0.756487\pi\)
0.816532 0.577300i \(-0.195894\pi\)
\(14\) −0.976670 3.80288i −0.261026 1.01636i
\(15\) 5.96889 + 2.65920i 1.54116 + 0.686603i
\(16\) 0.970993 + 4.25420i 0.242748 + 1.06355i
\(17\) −1.28155 + 3.26534i −0.310822 + 0.791961i 0.687041 + 0.726619i \(0.258909\pi\)
−0.997863 + 0.0653426i \(0.979186\pi\)
\(18\) −2.45085 3.71667i −0.577670 0.876028i
\(19\) 2.34967 4.06975i 0.539052 0.933665i −0.459904 0.887969i \(-0.652116\pi\)
0.998955 0.0456960i \(-0.0145506\pi\)
\(20\) 0.278769 0.710291i 0.0623346 0.158826i
\(21\) −3.63399 + 2.79179i −0.793002 + 0.609219i
\(22\) −1.84148 4.69201i −0.392604 1.00034i
\(23\) 4.92073 + 0.741681i 1.02604 + 0.154651i 0.640436 0.768012i \(-0.278754\pi\)
0.385608 + 0.922663i \(0.373992\pi\)
\(24\) 3.73899 2.71519i 0.763218 0.554237i
\(25\) 7.62866 5.20113i 1.52573 1.04023i
\(26\) 2.48927 + 6.34256i 0.488186 + 1.24388i
\(27\) −2.86560 + 4.33455i −0.551485 + 0.834185i
\(28\) 0.344808 + 0.409213i 0.0651626 + 0.0773339i
\(29\) 0.819201 2.08729i 0.152122 0.387600i −0.834416 0.551136i \(-0.814195\pi\)
0.986537 + 0.163536i \(0.0522899\pi\)
\(30\) −9.69284 + 0.287817i −1.76966 + 0.0525479i
\(31\) −5.72451 −1.02815 −0.514076 0.857745i \(-0.671865\pi\)
−0.514076 + 0.857745i \(0.671865\pi\)
\(32\) −0.710701 0.891190i −0.125635 0.157542i
\(33\) −4.19184 + 4.12766i −0.729706 + 0.718533i
\(34\) −0.389015 5.19105i −0.0667156 0.890258i
\(35\) 1.01428 + 9.92986i 0.171444 + 1.67845i
\(36\) 0.520728 + 0.311453i 0.0867881 + 0.0519088i
\(37\) −8.60873 + 1.29756i −1.41527 + 0.213317i −0.811737 0.584023i \(-0.801478\pi\)
−0.603530 + 0.797340i \(0.706240\pi\)
\(38\) −0.521154 + 6.95432i −0.0845424 + 1.12814i
\(39\) 5.66644 5.57968i 0.907357 0.893463i
\(40\) −0.752152 10.0368i −0.118926 1.58695i
\(41\) 2.46576 + 2.28789i 0.385086 + 0.357308i 0.848834 0.528659i \(-0.177305\pi\)
−0.463748 + 0.885967i \(0.653496\pi\)
\(42\) 3.06120 6.07260i 0.472353 0.937022i
\(43\) 1.90507 1.76765i 0.290521 0.269564i −0.521425 0.853297i \(-0.674599\pi\)
0.811945 + 0.583734i \(0.198409\pi\)
\(44\) 0.503578 + 0.467252i 0.0759172 + 0.0704409i
\(45\) 4.75277 + 10.2717i 0.708502 + 1.53122i
\(46\) −7.05676 + 2.17672i −1.04046 + 0.320940i
\(47\) −5.93255 + 2.85696i −0.865351 + 0.416731i −0.813253 0.581911i \(-0.802305\pi\)
−0.0520984 + 0.998642i \(0.516591\pi\)
\(48\) −3.58305 + 6.65468i −0.517169 + 0.960521i
\(49\) −6.46147 2.69247i −0.923067 0.384639i
\(50\) −6.85088 + 11.8661i −0.968860 + 1.67812i
\(51\) −5.39339 + 2.79747i −0.755225 + 0.391724i
\(52\) −0.680726 0.631621i −0.0943997 0.0875901i
\(53\) −4.51251 0.680152i −0.619841 0.0934260i −0.168388 0.985721i \(-0.553856\pi\)
−0.451453 + 0.892295i \(0.649094\pi\)
\(54\) 1.04047 7.64057i 0.141590 1.03975i
\(55\) 2.85137 + 12.4927i 0.384478 + 1.68451i
\(56\) 6.43980 + 2.88981i 0.860555 + 0.386168i
\(57\) 7.70325 2.62896i 1.02032 0.348214i
\(58\) 0.248669 + 3.31825i 0.0326518 + 0.435708i
\(59\) 2.11598 + 9.27074i 0.275478 + 1.20695i 0.903444 + 0.428706i \(0.141030\pi\)
−0.627966 + 0.778241i \(0.716112\pi\)
\(60\) 1.17319 0.608518i 0.151459 0.0785594i
\(61\) −3.11764 3.90939i −0.399172 0.500546i 0.541105 0.840955i \(-0.318006\pi\)
−0.940278 + 0.340409i \(0.889435\pi\)
\(62\) 7.65388 3.68592i 0.972044 0.468112i
\(63\) −7.92139 0.501604i −0.998001 0.0631962i
\(64\) −6.33888 3.05265i −0.792360 0.381581i
\(65\) −3.85442 16.8873i −0.478082 2.09461i
\(66\) 2.94692 8.21789i 0.362741 1.01155i
\(67\) 14.2923 1.74609 0.873043 0.487643i \(-0.162143\pi\)
0.873043 + 0.487643i \(0.162143\pi\)
\(68\) 0.354736 + 0.614421i 0.0430181 + 0.0745095i
\(69\) 5.57164 + 6.57631i 0.670747 + 0.791695i
\(70\) −7.74980 12.6235i −0.926278 1.50880i
\(71\) 5.88322 7.37733i 0.698210 0.875528i −0.298678 0.954354i \(-0.596546\pi\)
0.996888 + 0.0788260i \(0.0251172\pi\)
\(72\) 7.97100 + 0.721179i 0.939392 + 0.0849917i
\(73\) −0.305183 4.07239i −0.0357190 0.476637i −0.986167 0.165754i \(-0.946994\pi\)
0.950448 0.310883i \(-0.100625\pi\)
\(74\) 10.6747 7.27790i 1.24091 0.846039i
\(75\) 15.8772 + 1.91308i 1.83334 + 0.220904i
\(76\) −0.347243 0.884760i −0.0398315 0.101489i
\(77\) −8.65547 2.41606i −0.986382 0.275336i
\(78\) −3.98358 + 11.1088i −0.451052 + 1.25782i
\(79\) 1.23324 0.138750 0.0693752 0.997591i \(-0.477899\pi\)
0.0693752 + 0.997591i \(0.477899\pi\)
\(80\) 8.23120 + 14.2569i 0.920276 + 1.59397i
\(81\) −8.67791 + 2.38618i −0.964212 + 0.265131i
\(82\) −4.76994 1.47133i −0.526752 0.162481i
\(83\) −0.417203 5.56719i −0.0457940 0.611078i −0.972139 0.234403i \(-0.924686\pi\)
0.926346 0.376675i \(-0.122933\pi\)
\(84\) −0.0167968 + 0.926693i −0.00183268 + 0.101111i
\(85\) −0.988966 + 13.1968i −0.107268 + 1.43140i
\(86\) −1.40899 + 3.59006i −0.151936 + 0.387126i
\(87\) 3.44759 1.78822i 0.369621 0.191717i
\(88\) 8.65885 + 2.67090i 0.923036 + 0.284719i
\(89\) −1.11646 + 0.761192i −0.118345 + 0.0806861i −0.621046 0.783774i \(-0.713292\pi\)
0.502701 + 0.864460i \(0.332340\pi\)
\(90\) −12.9684 10.6734i −1.36699 1.12508i
\(91\) 11.7003 + 3.26598i 1.22652 + 0.342368i
\(92\) 0.737802 0.684581i 0.0769212 0.0713725i
\(93\) −7.46528 6.52531i −0.774113 0.676643i
\(94\) 6.09249 7.63974i 0.628392 0.787979i
\(95\) 3.94508 17.2845i 0.404757 1.77336i
\(96\) 0.0890409 1.97231i 0.00908770 0.201298i
\(97\) −6.47663 11.2178i −0.657602 1.13900i −0.981235 0.192817i \(-0.938238\pi\)
0.323633 0.946183i \(-0.395096\pi\)
\(98\) 10.3729 0.560498i 1.04782 0.0566189i
\(99\) −10.1716 + 0.604599i −1.02229 + 0.0607645i
\(100\) 0.139552 1.86219i 0.0139552 0.186219i
\(101\) −3.24521 3.01111i −0.322910 0.299617i 0.502015 0.864859i \(-0.332592\pi\)
−0.824925 + 0.565242i \(0.808783\pi\)
\(102\) 5.40991 7.21303i 0.535661 0.714197i
\(103\) −10.5025 + 3.23959i −1.03484 + 0.319206i −0.765226 0.643762i \(-0.777373\pi\)
−0.269615 + 0.962968i \(0.586896\pi\)
\(104\) −11.7048 3.61047i −1.14775 0.354035i
\(105\) −9.99624 + 14.1056i −0.975533 + 1.37657i
\(106\) 6.47134 1.99614i 0.628552 0.193883i
\(107\) 14.3642 9.79332i 1.38864 0.946756i 0.388961 0.921254i \(-0.372834\pi\)
0.999675 0.0255016i \(-0.00811830\pi\)
\(108\) 0.324055 + 0.999736i 0.0311822 + 0.0961996i
\(109\) 1.52462 + 1.03947i 0.146032 + 0.0995630i 0.634132 0.773225i \(-0.281358\pi\)
−0.488100 + 0.872788i \(0.662310\pi\)
\(110\) −11.8562 14.8672i −1.13044 1.41753i
\(111\) −12.7056 8.12087i −1.20597 0.770799i
\(112\) −11.5408 + 0.311577i −1.09050 + 0.0294412i
\(113\) 7.58236 5.16957i 0.713289 0.486312i −0.151494 0.988458i \(-0.548408\pi\)
0.864783 + 0.502146i \(0.167456\pi\)
\(114\) −8.60679 + 8.47501i −0.806100 + 0.793757i
\(115\) 18.5643 2.79811i 1.73113 0.260925i
\(116\) −0.226756 0.392754i −0.0210538 0.0364663i
\(117\) 13.7498 0.817285i 1.27117 0.0755580i
\(118\) −8.79842 11.0329i −0.809960 1.01566i
\(119\) −7.80648 5.01922i −0.715619 0.460111i
\(120\) 10.4599 13.9462i 0.954857 1.27311i
\(121\) −0.530366 0.0799398i −0.0482151 0.00726726i
\(122\) 6.68559 + 3.21961i 0.605285 + 0.291490i
\(123\) 0.607629 + 5.79430i 0.0547881 + 0.522454i
\(124\) −0.721880 + 0.905209i −0.0648268 + 0.0812902i
\(125\) 9.95692 12.4856i 0.890574 1.11674i
\(126\) 10.9142 4.42979i 0.972311 0.394637i
\(127\) −11.1943 14.0372i −0.993336 1.24560i −0.969297 0.245893i \(-0.920919\pi\)
−0.0240386 0.999711i \(-0.507652\pi\)
\(128\) 12.7206 1.12435
\(129\) 4.49931 0.133601i 0.396142 0.0117629i
\(130\) 16.0270 + 20.0972i 1.40566 + 1.76264i
\(131\) 3.85957 3.58116i 0.337212 0.312887i −0.493331 0.869842i \(-0.664221\pi\)
0.830543 + 0.556955i \(0.188030\pi\)
\(132\) 0.124095 + 1.18336i 0.0108011 + 0.102998i
\(133\) 9.33916 + 8.20773i 0.809808 + 0.711701i
\(134\) −19.1094 + 9.20259i −1.65080 + 0.794983i
\(135\) −5.51057 + 18.8129i −0.474275 + 1.61915i
\(136\) 7.73224 + 5.27175i 0.663034 + 0.452049i
\(137\) 15.4445 + 4.76400i 1.31951 + 0.407016i 0.872983 0.487751i \(-0.162183\pi\)
0.446532 + 0.894768i \(0.352659\pi\)
\(138\) −11.6839 5.20528i −0.994597 0.443103i
\(139\) 2.57451 + 2.38880i 0.218367 + 0.202615i 0.781769 0.623568i \(-0.214317\pi\)
−0.563402 + 0.826183i \(0.690508\pi\)
\(140\) 1.69810 + 1.09180i 0.143516 + 0.0922743i
\(141\) −10.9932 3.03671i −0.925795 0.255737i
\(142\) −3.11595 + 13.6519i −0.261485 + 1.14564i
\(143\) 15.4204 + 2.32425i 1.28952 + 0.194364i
\(144\) −12.2582 + 4.59402i −1.02152 + 0.382835i
\(145\) 0.632172 8.43576i 0.0524991 0.700551i
\(146\) 3.03018 + 5.24843i 0.250780 + 0.434363i
\(147\) −5.35722 10.8766i −0.441856 0.897086i
\(148\) −0.880410 + 1.52491i −0.0723693 + 0.125347i
\(149\) −11.4435 7.80205i −0.937488 0.639169i −0.00485249 0.999988i \(-0.501545\pi\)
−0.932636 + 0.360820i \(0.882497\pi\)
\(150\) −22.4602 + 7.66518i −1.83387 + 0.625859i
\(151\) 1.93997 + 4.94298i 0.157873 + 0.402254i 0.987823 0.155585i \(-0.0497262\pi\)
−0.829950 + 0.557838i \(0.811631\pi\)
\(152\) −9.19039 8.52743i −0.745439 0.691666i
\(153\) −10.2223 2.49971i −0.826422 0.202090i
\(154\) 13.1283 2.34275i 1.05791 0.188784i
\(155\) −20.6372 + 6.36572i −1.65762 + 0.511307i
\(156\) −0.167749 1.59964i −0.0134307 0.128074i
\(157\) −5.30549 23.2449i −0.423424 1.85514i −0.511872 0.859062i \(-0.671048\pi\)
0.0884482 0.996081i \(-0.471809\pi\)
\(158\) −1.64889 + 0.794063i −0.131179 + 0.0631723i
\(159\) −5.10943 6.03075i −0.405204 0.478269i
\(160\) −3.55313 2.42248i −0.280900 0.191514i
\(161\) −4.47759 + 12.3813i −0.352884 + 0.975784i
\(162\) 10.0663 8.77797i 0.790881 0.689663i
\(163\) 12.2053 + 3.76483i 0.955992 + 0.294884i 0.733224 0.679987i \(-0.238015\pi\)
0.222768 + 0.974872i \(0.428491\pi\)
\(164\) 0.672721 0.101396i 0.0525307 0.00791773i
\(165\) −10.5218 + 19.5418i −0.819122 + 1.52133i
\(166\) 4.14243 + 7.17491i 0.321515 + 0.556881i
\(167\) 3.88797 0.586017i 0.300860 0.0453474i 0.00312263 0.999995i \(-0.499006\pi\)
0.297738 + 0.954648i \(0.403768\pi\)
\(168\) 5.10402 + 11.1092i 0.393783 + 0.857097i
\(169\) −7.99020 1.20433i −0.614631 0.0926407i
\(170\) −7.17493 18.2814i −0.550292 1.40212i
\(171\) 13.0425 + 5.35246i 0.997381 + 0.409313i
\(172\) −0.0392799 0.524153i −0.00299506 0.0399663i
\(173\) 5.33324 6.68767i 0.405479 0.508454i −0.536604 0.843834i \(-0.680293\pi\)
0.942083 + 0.335380i \(0.108865\pi\)
\(174\) −3.45816 + 4.61076i −0.262162 + 0.349541i
\(175\) 9.53507 + 22.4904i 0.720783 + 1.70012i
\(176\) −14.6555 + 2.20897i −1.10470 + 0.166507i
\(177\) −7.80818 + 14.5019i −0.586899 + 1.09003i
\(178\) 1.00263 1.73661i 0.0751506 0.130165i
\(179\) −1.73488 + 4.42040i −0.129671 + 0.330396i −0.980933 0.194344i \(-0.937742\pi\)
0.851263 + 0.524740i \(0.175837\pi\)
\(180\) 2.22359 + 0.543748i 0.165737 + 0.0405286i
\(181\) 17.0356 + 8.20393i 1.26625 + 0.609793i 0.941820 0.336117i \(-0.109114\pi\)
0.324428 + 0.945910i \(0.394828\pi\)
\(182\) −17.7466 + 3.16688i −1.31547 + 0.234745i
\(183\) 0.390597 8.65196i 0.0288737 0.639571i
\(184\) 4.85029 12.3583i 0.357568 0.911069i
\(185\) −29.5921 + 14.2508i −2.17565 + 1.04774i
\(186\) 14.1829 + 3.91781i 1.03994 + 0.287268i
\(187\) −10.7345 5.16946i −0.784984 0.378028i
\(188\) −0.296347 + 1.29838i −0.0216133 + 0.0946940i
\(189\) −9.75843 9.68365i −0.709821 0.704382i
\(190\) 5.85450 + 25.6502i 0.424730 + 1.86086i
\(191\) −4.00502 + 17.5471i −0.289793 + 1.26967i 0.595017 + 0.803713i \(0.297145\pi\)
−0.884810 + 0.465953i \(0.845712\pi\)
\(192\) −4.78680 11.2066i −0.345457 0.808763i
\(193\) 2.59553 11.3717i 0.186830 0.818556i −0.791444 0.611241i \(-0.790671\pi\)
0.978274 0.207314i \(-0.0664723\pi\)
\(194\) 15.8825 + 10.8285i 1.14030 + 0.777440i
\(195\) 14.2232 26.4162i 1.01854 1.89170i
\(196\) −1.24057 + 0.682214i −0.0886122 + 0.0487296i
\(197\) 11.0225 0.785320 0.392660 0.919684i \(-0.371555\pi\)
0.392660 + 0.919684i \(0.371555\pi\)
\(198\) 13.2105 7.35770i 0.938832 0.522889i
\(199\) −20.1000 + 6.20002i −1.42485 + 0.439508i −0.908865 0.417090i \(-0.863050\pi\)
−0.515984 + 0.856598i \(0.672574\pi\)
\(200\) −8.99918 22.9295i −0.636338 1.62136i
\(201\) 18.6385 + 16.2917i 1.31466 + 1.14913i
\(202\) 6.27777 + 1.93644i 0.441702 + 0.136247i
\(203\) 4.99010 + 3.20842i 0.350237 + 0.225187i
\(204\) −0.237764 + 1.20562i −0.0166468 + 0.0844103i
\(205\) 11.4333 + 5.50601i 0.798539 + 0.384556i
\(206\) 11.9563 11.0938i 0.833035 0.772943i
\(207\) −0.230341 + 14.9272i −0.0160098 + 1.03751i
\(208\) 19.8110 2.98603i 1.37365 0.207044i
\(209\) 13.1879 + 8.99139i 0.912229 + 0.621947i
\(210\) 4.28298 25.2961i 0.295554 1.74560i
\(211\) −18.4323 + 12.5669i −1.26893 + 0.865144i −0.995314 0.0966935i \(-0.969173\pi\)
−0.273620 + 0.961838i \(0.588221\pi\)
\(212\) −0.676595 + 0.627788i −0.0464687 + 0.0431167i
\(213\) 16.0816 2.91448i 1.10189 0.199697i
\(214\) −12.8997 + 22.3429i −0.881803 + 1.52733i
\(215\) 4.90224 8.49093i 0.334330 0.579077i
\(216\) 9.57284 + 10.0265i 0.651349 + 0.682220i
\(217\) 2.97049 14.8515i 0.201650 1.00818i
\(218\) −2.70777 0.408131i −0.183393 0.0276421i
\(219\) 4.24409 5.65864i 0.286789 0.382375i
\(220\) 2.33502 + 1.12448i 0.157427 + 0.0758127i
\(221\) 14.5107 + 6.98797i 0.976093 + 0.470062i
\(222\) 22.2168 + 2.67696i 1.49109 + 0.179666i
\(223\) −2.74320 0.413471i −0.183698 0.0276881i 0.0565488 0.998400i \(-0.481990\pi\)
−0.240247 + 0.970712i \(0.577228\pi\)
\(224\) 2.68086 1.38137i 0.179123 0.0922968i
\(225\) 18.5246 + 20.5931i 1.23497 + 1.37287i
\(226\) −6.80930 + 11.7941i −0.452948 + 0.784529i
\(227\) 5.13287 8.89040i 0.340681 0.590076i −0.643879 0.765128i \(-0.722676\pi\)
0.984559 + 0.175051i \(0.0560091\pi\)
\(228\) 0.555693 1.54963i 0.0368017 0.102626i
\(229\) −14.7625 + 13.6976i −0.975531 + 0.905160i −0.995512 0.0946402i \(-0.969830\pi\)
0.0199809 + 0.999800i \(0.493639\pi\)
\(230\) −23.0195 + 15.6944i −1.51786 + 1.03486i
\(231\) −8.53347 13.0170i −0.561461 0.856458i
\(232\) −4.94265 3.36984i −0.324501 0.221241i
\(233\) −22.6833 + 3.41895i −1.48603 + 0.223983i −0.841359 0.540477i \(-0.818244\pi\)
−0.644671 + 0.764460i \(0.723006\pi\)
\(234\) −17.8577 + 9.94599i −1.16740 + 0.650189i
\(235\) −18.2102 + 16.8966i −1.18790 + 1.10221i
\(236\) 1.73280 + 0.834474i 0.112796 + 0.0543196i
\(237\) 1.60826 + 1.40576i 0.104468 + 0.0913138i
\(238\) 13.6693 + 1.68443i 0.886052 + 0.109185i
\(239\) 7.07701 + 2.18297i 0.457774 + 0.141205i 0.515062 0.857153i \(-0.327769\pi\)
−0.0572877 + 0.998358i \(0.518245\pi\)
\(240\) −5.51702 + 27.9749i −0.356122 + 1.80577i
\(241\) −5.18036 13.1993i −0.333696 0.850244i −0.994977 0.100105i \(-0.968082\pi\)
0.661281 0.750139i \(-0.270013\pi\)
\(242\) 0.760591 0.234611i 0.0488927 0.0150814i
\(243\) −14.0368 6.78007i −0.900459 0.434942i
\(244\) −1.01133 −0.0647439
\(245\) −26.2880 2.52127i −1.67948 0.161078i
\(246\) −4.54328 7.35595i −0.289669 0.468998i
\(247\) −17.8272 12.1544i −1.13432 0.773364i
\(248\) −3.39837 + 14.8892i −0.215797 + 0.945468i
\(249\) 5.80191 7.73568i 0.367681 0.490229i
\(250\) −5.27352 + 23.1048i −0.333526 + 1.46127i
\(251\) −0.0355383 0.155703i −0.00224316 0.00982791i 0.973794 0.227432i \(-0.0730330\pi\)
−0.976037 + 0.217604i \(0.930176\pi\)
\(252\) −1.07823 + 1.18935i −0.0679223 + 0.0749217i
\(253\) −3.76108 + 16.4784i −0.236457 + 1.03599i
\(254\) 24.0056 + 11.5605i 1.50624 + 0.725369i
\(255\) −16.3326 + 16.0825i −1.02279 + 1.00713i
\(256\) −4.33018 + 2.08530i −0.270636 + 0.130331i
\(257\) 1.18095 3.00902i 0.0736659 0.187698i −0.889298 0.457328i \(-0.848806\pi\)
0.962964 + 0.269631i \(0.0869016\pi\)
\(258\) −5.92972 + 3.07566i −0.369168 + 0.191482i
\(259\) 1.10079 23.0075i 0.0684001 1.42962i
\(260\) −3.15643 1.52005i −0.195753 0.0942698i
\(261\) 6.53434 + 1.59788i 0.404465 + 0.0989063i
\(262\) −2.85454 + 7.27325i −0.176354 + 0.449343i
\(263\) −1.85037 + 3.20494i −0.114099 + 0.197625i −0.917419 0.397922i \(-0.869731\pi\)
0.803320 + 0.595547i \(0.203065\pi\)
\(264\) 8.24739 + 13.3532i 0.507592 + 0.821834i
\(265\) −17.0242 + 2.56598i −1.04579 + 0.157627i
\(266\) −17.7716 4.96071i −1.08965 0.304161i
\(267\) −2.32364 0.279982i −0.142205 0.0171346i
\(268\) 1.80231 2.26003i 0.110094 0.138053i
\(269\) 0.861158 + 11.4914i 0.0525057 + 0.700641i 0.959897 + 0.280353i \(0.0904516\pi\)
−0.907391 + 0.420287i \(0.861929\pi\)
\(270\) −4.74546 28.7017i −0.288799 1.74673i
\(271\) −5.38082 13.7101i −0.326862 0.832830i −0.995972 0.0896668i \(-0.971420\pi\)
0.669110 0.743163i \(-0.266675\pi\)
\(272\) −15.1358 2.28135i −0.917741 0.138327i
\(273\) 11.5354 + 17.5962i 0.698152 + 1.06497i
\(274\) −23.7174 + 3.57482i −1.43282 + 0.215963i
\(275\) 15.6800 + 27.1586i 0.945541 + 1.63773i
\(276\) 1.74251 0.0517416i 0.104887 0.00311448i
\(277\) 5.19997 0.783769i 0.312436 0.0470921i 0.00904733 0.999959i \(-0.497120\pi\)
0.303388 + 0.952867i \(0.401882\pi\)
\(278\) −4.98032 1.53623i −0.298700 0.0921367i
\(279\) −2.29726 17.0192i −0.137534 1.01891i
\(280\) 26.4294 + 3.25680i 1.57946 + 0.194631i
\(281\) 19.3481 + 13.1913i 1.15421 + 0.786927i 0.980238 0.197823i \(-0.0633871\pi\)
0.173973 + 0.984750i \(0.444340\pi\)
\(282\) 16.6536 3.01814i 0.991708 0.179728i
\(283\) 11.9648 5.76195i 0.711234 0.342512i −0.0430387 0.999073i \(-0.513704\pi\)
0.754273 + 0.656561i \(0.227990\pi\)
\(284\) −0.424673 1.86061i −0.0251997 0.110407i
\(285\) 24.8472 18.0436i 1.47182 1.06881i
\(286\) −22.1142 + 6.82134i −1.30764 + 0.403354i
\(287\) −7.21511 + 5.20987i −0.425895 + 0.307529i
\(288\) 2.36434 2.47058i 0.139320 0.145580i
\(289\) 3.44181 + 3.19353i 0.202460 + 0.187855i
\(290\) 4.58640 + 11.6860i 0.269323 + 0.686223i
\(291\) 4.34100 22.0117i 0.254474 1.29035i
\(292\) −0.682446 0.465284i −0.0399371 0.0272287i
\(293\) 6.16751 10.6824i 0.360310 0.624075i −0.627702 0.778454i \(-0.716004\pi\)
0.988012 + 0.154379i \(0.0493377\pi\)
\(294\) 14.1661 + 11.0930i 0.826181 + 0.646956i
\(295\) 17.9374 + 31.0685i 1.04436 + 1.80888i
\(296\) −1.73570 + 23.1613i −0.100886 + 1.34622i
\(297\) −13.9539 10.8061i −0.809686 0.627031i
\(298\) 20.3240 + 3.06335i 1.17734 + 0.177455i
\(299\) 5.08415 22.2751i 0.294024 1.28820i
\(300\) 2.30468 2.26939i 0.133061 0.131023i
\(301\) 3.59737 + 5.85970i 0.207349 + 0.337748i
\(302\) −5.77652 5.35982i −0.332401 0.308423i
\(303\) −0.799708 7.62594i −0.0459420 0.438099i
\(304\) 19.5950 + 6.04427i 1.12385 + 0.346663i
\(305\) −15.5865 10.6267i −0.892483 0.608484i
\(306\) 15.2771 3.23974i 0.873332 0.185204i
\(307\) −14.0759 + 6.77861i −0.803355 + 0.386876i −0.790055 0.613036i \(-0.789948\pi\)
−0.0133005 + 0.999912i \(0.504234\pi\)
\(308\) −1.47353 + 1.06401i −0.0839623 + 0.0606273i
\(309\) −17.3890 7.74696i −0.989223 0.440709i
\(310\) 23.4939 21.7991i 1.33436 1.23811i
\(311\) −15.4936 19.4283i −0.878560 1.10168i −0.994110 0.108378i \(-0.965434\pi\)
0.115549 0.993302i \(-0.463137\pi\)
\(312\) −11.1486 18.0506i −0.631168 1.02191i
\(313\) −8.99015 −0.508153 −0.254077 0.967184i \(-0.581772\pi\)
−0.254077 + 0.967184i \(0.581772\pi\)
\(314\) 22.0606 + 27.6631i 1.24495 + 1.56112i
\(315\) −29.1148 + 7.00037i −1.64043 + 0.394426i
\(316\) 0.155516 0.195011i 0.00874846 0.0109702i
\(317\) 11.4852 14.4020i 0.645075 0.808898i −0.346553 0.938031i \(-0.612648\pi\)
0.991627 + 0.129132i \(0.0412192\pi\)
\(318\) 10.7146 + 4.77346i 0.600844 + 0.267682i
\(319\) 6.86177 + 3.30445i 0.384185 + 0.185014i
\(320\) −26.2466 3.95604i −1.46723 0.221149i
\(321\) 29.8955 + 3.60219i 1.66860 + 0.201054i
\(322\) −1.98541 19.4373i −0.110643 1.08320i
\(323\) 10.2779 + 12.8881i 0.571877 + 0.717111i
\(324\) −0.716991 + 1.67313i −0.0398329 + 0.0929518i
\(325\) −21.1959 36.7124i −1.17574 2.03644i
\(326\) −18.7430 + 2.82506i −1.03808 + 0.156466i
\(327\) 0.803363 + 3.09346i 0.0444261 + 0.171069i
\(328\) 7.41452 5.05513i 0.409398 0.279123i
\(329\) −4.33357 16.8737i −0.238917 0.930277i
\(330\) 1.48542 32.9029i 0.0817696 1.81125i
\(331\) −3.45844 4.33674i −0.190093 0.238369i 0.677647 0.735387i \(-0.263000\pi\)
−0.867740 + 0.497018i \(0.834428\pi\)
\(332\) −0.932943 0.636070i −0.0512019 0.0349089i
\(333\) −7.31240 25.0734i −0.400717 1.37401i
\(334\) −4.82104 + 3.28693i −0.263795 + 0.179853i
\(335\) 51.5246 15.8932i 2.81509 0.868341i
\(336\) −15.4054 12.7489i −0.840434 0.695510i
\(337\) −16.4810 5.08370i −0.897775 0.276927i −0.188679 0.982039i \(-0.560421\pi\)
−0.709096 + 0.705112i \(0.750897\pi\)
\(338\) 11.4586 3.53452i 0.623268 0.192253i
\(339\) 15.7808 + 1.90147i 0.857096 + 0.103274i
\(340\) 1.96209 + 1.82055i 0.106409 + 0.0987332i
\(341\) 1.45301 19.3890i 0.0786848 1.04998i
\(342\) −20.8846 + 1.24138i −1.12931 + 0.0671261i
\(343\) 10.3382 15.3663i 0.558208 0.829701i
\(344\) −3.46664 6.00440i −0.186909 0.323735i
\(345\) 27.3990 + 17.5122i 1.47511 + 0.942826i
\(346\) −2.82466 + 12.3757i −0.151855 + 0.665319i
\(347\) −17.5865 + 22.0527i −0.944091 + 1.18385i 0.0387218 + 0.999250i \(0.487671\pi\)
−0.982813 + 0.184603i \(0.940900\pi\)
\(348\) 0.151985 0.770664i 0.00814725 0.0413119i
\(349\) −11.8969 + 11.0387i −0.636826 + 0.590889i −0.931069 0.364842i \(-0.881123\pi\)
0.294243 + 0.955731i \(0.404933\pi\)
\(350\) −27.2300 23.9311i −1.45550 1.27917i
\(351\) 18.8626 + 14.6074i 1.00681 + 0.779686i
\(352\) 3.19887 2.18096i 0.170501 0.116245i
\(353\) −23.8518 7.35730i −1.26950 0.391589i −0.414421 0.910085i \(-0.636016\pi\)
−0.855080 + 0.518496i \(0.826492\pi\)
\(354\) 1.10232 24.4171i 0.0585877 1.29775i
\(355\) 13.0057 33.1379i 0.690269 1.75878i
\(356\) −0.0204236 + 0.272534i −0.00108245 + 0.0144443i
\(357\) −4.45900 15.4440i −0.235995 0.817386i
\(358\) −0.526623 7.02729i −0.0278329 0.371404i
\(359\) −16.9547 5.22983i −0.894835 0.276020i −0.186968 0.982366i \(-0.559866\pi\)
−0.707867 + 0.706346i \(0.750342\pi\)
\(360\) 29.5379 6.26396i 1.55678 0.330140i
\(361\) −1.54191 2.67067i −0.0811533 0.140562i
\(362\) −28.0596 −1.47478
\(363\) −0.600523 0.708808i −0.0315193 0.0372028i
\(364\) 1.99189 1.43830i 0.104403 0.0753874i
\(365\) −5.62875 14.3418i −0.294622 0.750685i
\(366\) 5.04861 + 11.8195i 0.263895 + 0.617815i
\(367\) −3.01294 + 2.05419i −0.157274 + 0.107228i −0.639400 0.768874i \(-0.720817\pi\)
0.482126 + 0.876102i \(0.339865\pi\)
\(368\) 1.62274 + 21.6539i 0.0845910 + 1.12879i
\(369\) −5.81246 + 8.24892i −0.302585 + 0.429422i
\(370\) 30.3898 38.1077i 1.57989 1.98112i
\(371\) 4.10614 11.3542i 0.213180 0.589479i
\(372\) −1.97324 + 0.357611i −0.102308 + 0.0185413i
\(373\) −7.14187 12.3701i −0.369792 0.640498i 0.619741 0.784807i \(-0.287238\pi\)
−0.989533 + 0.144308i \(0.953904\pi\)
\(374\) 17.6810 0.914260
\(375\) 27.2169 4.93254i 1.40547 0.254715i
\(376\) 3.90899 + 17.1264i 0.201591 + 0.883226i
\(377\) −9.27559 4.46689i −0.477717 0.230057i
\(378\) 19.2825 + 6.66411i 0.991786 + 0.342765i
\(379\) 32.1059 15.4614i 1.64917 0.794199i 0.649751 0.760147i \(-0.274873\pi\)
0.999420 0.0340514i \(-0.0108410\pi\)
\(380\) −2.23569 2.80347i −0.114689 0.143815i
\(381\) 1.40249 31.0661i 0.0718519 1.59157i
\(382\) −5.94345 26.0399i −0.304093 1.33232i
\(383\) 1.42753 + 19.0491i 0.0729435 + 0.973364i 0.906849 + 0.421456i \(0.138481\pi\)
−0.833905 + 0.551908i \(0.813900\pi\)
\(384\) 16.5888 + 14.5001i 0.846546 + 0.739955i
\(385\) −33.8901 + 0.914960i −1.72720 + 0.0466307i
\(386\) 3.85176 + 16.8757i 0.196049 + 0.858948i
\(387\) 6.01980 + 4.95449i 0.306004 + 0.251851i
\(388\) −2.59059 0.390469i −0.131517 0.0198230i
\(389\) −15.0550 13.9690i −0.763318 0.708256i 0.199055 0.979988i \(-0.436213\pi\)
−0.962373 + 0.271733i \(0.912403\pi\)
\(390\) −2.00796 + 44.4775i −0.101677 + 2.25221i
\(391\) −8.72801 + 15.1174i −0.441394 + 0.764518i
\(392\) −10.8389 + 15.2077i −0.547447 + 0.768103i
\(393\) 9.11535 0.270669i 0.459809 0.0136534i
\(394\) −14.7375 + 7.09720i −0.742464 + 0.357552i
\(395\) 4.44590 1.37138i 0.223698 0.0690016i
\(396\) −1.18707 + 1.68467i −0.0596526 + 0.0846577i
\(397\) 11.3034 + 10.4880i 0.567302 + 0.526379i 0.910840 0.412760i \(-0.135435\pi\)
−0.343538 + 0.939139i \(0.611626\pi\)
\(398\) 22.8823 21.2317i 1.14699 1.06425i
\(399\) 2.82320 + 21.3492i 0.141337 + 1.06880i
\(400\) 29.5340 + 27.4035i 1.47670 + 1.37018i
\(401\) −0.156076 2.08269i −0.00779405 0.104004i 0.991950 0.126631i \(-0.0404163\pi\)
−0.999744 + 0.0226262i \(0.992797\pi\)
\(402\) −35.4103 9.78157i −1.76610 0.487860i
\(403\) −1.96415 + 26.2097i −0.0978411 + 1.30560i
\(404\) −0.885376 + 0.133449i −0.0440491 + 0.00663933i
\(405\) −28.6309 + 18.2522i −1.42268 + 0.906961i
\(406\) −8.73780 1.07673i −0.433650 0.0534371i
\(407\) −2.20977 29.4873i −0.109534 1.46163i
\(408\) 4.07432 + 15.6887i 0.201709 + 0.776708i
\(409\) 6.42450 + 8.05607i 0.317671 + 0.398347i 0.914871 0.403745i \(-0.132292\pi\)
−0.597200 + 0.802092i \(0.703720\pi\)
\(410\) −18.8320 −0.930048
\(411\) 14.7106 + 23.8177i 0.725621 + 1.17484i
\(412\) −0.812128 + 2.06927i −0.0400107 + 0.101946i
\(413\) −25.1497 + 0.678987i −1.23753 + 0.0334108i
\(414\) −9.30337 20.1065i −0.457236 0.988180i
\(415\) −7.69482 19.6061i −0.377724 0.962425i
\(416\) −4.32417 + 2.94817i −0.212010 + 0.144546i
\(417\) 0.634429 + 6.04986i 0.0310681 + 0.296263i
\(418\) −23.4222 3.53032i −1.14562 0.172674i
\(419\) −3.89113 9.91444i −0.190094 0.484352i 0.803773 0.594937i \(-0.202823\pi\)
−0.993867 + 0.110585i \(0.964728\pi\)
\(420\) 0.969941 + 3.35946i 0.0473283 + 0.163925i
\(421\) −9.74943 + 24.8411i −0.475158 + 1.21068i 0.469589 + 0.882885i \(0.344402\pi\)
−0.944748 + 0.327799i \(0.893693\pi\)
\(422\) 16.5531 28.6707i 0.805790 1.39567i
\(423\) −10.8746 16.4912i −0.528742 0.801829i
\(424\) −4.44792 + 11.3331i −0.216010 + 0.550385i
\(425\) 7.20694 + 31.5757i 0.349588 + 1.53165i
\(426\) −19.6251 + 14.2514i −0.950840 + 0.690484i
\(427\) 11.7602 6.05968i 0.569114 0.293248i
\(428\) 0.262765 3.50636i 0.0127012 0.169486i
\(429\) 17.4602 + 20.6086i 0.842988 + 0.994994i
\(430\) −1.08731 + 14.5092i −0.0524348 + 0.699694i
\(431\) −27.8817 + 25.8704i −1.34301 + 1.24614i −0.398704 + 0.917080i \(0.630540\pi\)
−0.944311 + 0.329055i \(0.893270\pi\)
\(432\) −21.2225 7.98201i −1.02107 0.384035i
\(433\) −4.84986 + 21.2486i −0.233069 + 1.02114i 0.714008 + 0.700138i \(0.246878\pi\)
−0.947077 + 0.321006i \(0.895979\pi\)
\(434\) 5.59096 + 21.7696i 0.268375 + 1.04498i
\(435\) 10.4402 10.2804i 0.500571 0.492907i
\(436\) 0.356630 0.110006i 0.0170795 0.00526832i
\(437\) 14.5806 18.2834i 0.697483 0.874616i
\(438\) −2.03100 + 10.2985i −0.0970449 + 0.492082i
\(439\) 28.8638 13.9001i 1.37760 0.663415i 0.409110 0.912485i \(-0.365839\pi\)
0.968486 + 0.249070i \(0.0801248\pi\)
\(440\) 34.1857 1.62974
\(441\) 5.41181 20.2907i 0.257705 0.966224i
\(442\) −23.9007 −1.13684
\(443\) 8.40231 4.04634i 0.399206 0.192247i −0.223499 0.974704i \(-0.571748\pi\)
0.622705 + 0.782457i \(0.286034\pi\)
\(444\) −2.88637 + 0.985056i −0.136981 + 0.0467487i
\(445\) −3.17846 + 3.98566i −0.150673 + 0.188938i
\(446\) 3.93399 1.21347i 0.186280 0.0574597i
\(447\) −6.02989 23.2189i −0.285204 1.09822i
\(448\) 11.2090 14.8613i 0.529574 0.702132i
\(449\) 1.13003 4.95101i 0.0533296 0.233652i −0.941238 0.337744i \(-0.890336\pi\)
0.994568 + 0.104091i \(0.0331934\pi\)
\(450\) −38.0276 15.6060i −1.79264 0.735675i
\(451\) −8.37499 + 7.77086i −0.394363 + 0.365915i
\(452\) 0.138705 1.85089i 0.00652413 0.0870585i
\(453\) −3.10454 + 8.65744i −0.145864 + 0.406762i
\(454\) −1.13847 + 15.1918i −0.0534308 + 0.712985i
\(455\) 45.8120 1.23682i 2.14770 0.0579832i
\(456\) −2.26476 21.5966i −0.106057 1.01135i
\(457\) 6.96944 + 30.5351i 0.326017 + 1.42837i 0.826652 + 0.562714i \(0.190243\pi\)
−0.500635 + 0.865658i \(0.666900\pi\)
\(458\) 10.9183 27.8194i 0.510180 1.29992i
\(459\) −10.4814 14.9121i −0.489228 0.696038i
\(460\) 1.89856 3.28840i 0.0885206 0.153322i
\(461\) −10.6660 + 27.1764i −0.496763 + 1.26573i 0.434265 + 0.900785i \(0.357008\pi\)
−0.931028 + 0.364947i \(0.881087\pi\)
\(462\) 19.7910 + 11.9097i 0.920762 + 0.554090i
\(463\) 4.06371 + 10.3542i 0.188857 + 0.481199i 0.993671 0.112328i \(-0.0358306\pi\)
−0.804815 + 0.593526i \(0.797735\pi\)
\(464\) 9.67518 + 1.45830i 0.449159 + 0.0676998i
\(465\) −34.1690 15.2226i −1.58455 0.705932i
\(466\) 28.1270 19.1766i 1.30296 0.888340i
\(467\) 3.21344 + 8.18772i 0.148700 + 0.378882i 0.985744 0.168254i \(-0.0538130\pi\)
−0.837043 + 0.547137i \(0.815718\pi\)
\(468\) 1.60466 2.27730i 0.0741753 0.105268i
\(469\) −7.41639 + 37.0795i −0.342457 + 1.71217i
\(470\) 13.4683 34.3166i 0.621245 1.58291i
\(471\) 19.5777 36.3611i 0.902095 1.67543i
\(472\) 25.3690 1.16770
\(473\) 5.50352 + 6.90119i 0.253052 + 0.317317i
\(474\) −3.05545 0.844022i −0.140341 0.0387672i
\(475\) −3.24246 43.2677i −0.148774 1.98526i
\(476\) −1.77811 + 0.601488i −0.0814994 + 0.0275691i
\(477\) 0.211232 13.6888i 0.00967167 0.626768i
\(478\) −10.8678 + 1.63806i −0.497082 + 0.0749231i
\(479\) −3.20424 + 42.7576i −0.146405 + 1.95364i 0.127386 + 0.991853i \(0.459341\pi\)
−0.273791 + 0.961789i \(0.588278\pi\)
\(480\) −1.87224 7.20931i −0.0854556 0.329059i
\(481\) 2.98712 + 39.8604i 0.136201 + 1.81748i
\(482\) 15.4252 + 14.3125i 0.702597 + 0.651915i
\(483\) −19.9525 + 11.0424i −0.907871 + 0.502446i
\(484\) −0.0795218 + 0.0737854i −0.00361463 + 0.00335388i
\(485\) −35.8230 33.2389i −1.62664 1.50930i
\(486\) 23.1332 + 0.0271715i 1.04935 + 0.00123253i
\(487\) −13.0025 + 4.01073i −0.589198 + 0.181743i −0.574997 0.818156i \(-0.694997\pi\)
−0.0142010 + 0.999899i \(0.504520\pi\)
\(488\) −12.0190 + 5.78804i −0.544074 + 0.262012i
\(489\) 11.6253 + 18.8224i 0.525714 + 0.851177i
\(490\) 36.7715 13.5554i 1.66117 0.612370i
\(491\) −4.17852 + 7.23741i −0.188574 + 0.326620i −0.944775 0.327720i \(-0.893720\pi\)
0.756201 + 0.654339i \(0.227053\pi\)
\(492\) 0.992870 + 0.634598i 0.0447620 + 0.0286099i
\(493\) 5.76586 + 5.34994i 0.259681 + 0.240949i
\(494\) 31.6616 + 4.77222i 1.42452 + 0.214712i
\(495\) −35.9969 + 13.4906i −1.61794 + 0.606356i
\(496\) −5.55846 24.3532i −0.249582 1.09349i
\(497\) 16.0866 + 19.0914i 0.721585 + 0.856366i
\(498\) −2.77649 + 14.0786i −0.124418 + 0.630879i
\(499\) 0.560509 + 7.47948i 0.0250918 + 0.334827i 0.995596 + 0.0937443i \(0.0298836\pi\)
−0.970504 + 0.241083i \(0.922497\pi\)
\(500\) −0.718727 3.14895i −0.0321425 0.140825i
\(501\) 5.73826 + 3.66764i 0.256367 + 0.163858i
\(502\) 0.147771 + 0.185299i 0.00659533 + 0.00827028i
\(503\) −17.9572 + 8.64775i −0.800674 + 0.385584i −0.789035 0.614348i \(-0.789419\pi\)
−0.0116386 + 0.999932i \(0.503705\pi\)
\(504\) −6.00721 + 20.3055i −0.267583 + 0.904478i
\(505\) −15.0476 7.24652i −0.669607 0.322466i
\(506\) −5.58144 24.4539i −0.248125 1.08711i
\(507\) −9.04714 10.6785i −0.401798 0.474249i
\(508\) −3.63133 −0.161114
\(509\) 14.9439 + 25.8836i 0.662377 + 1.14727i 0.979989 + 0.199050i \(0.0637857\pi\)
−0.317612 + 0.948221i \(0.602881\pi\)
\(510\) 11.4821 32.0193i 0.508434 1.41784i
\(511\) 10.7236 + 1.32143i 0.474385 + 0.0584568i
\(512\) −11.4154 + 14.3145i −0.504496 + 0.632618i
\(513\) 10.9073 + 21.8470i 0.481570 + 0.964571i
\(514\) 0.358479 + 4.78357i 0.0158118 + 0.210994i
\(515\) −34.2596 + 23.3578i −1.50966 + 1.02927i
\(516\) 0.546252 0.728318i 0.0240474 0.0320624i
\(517\) −8.17079 20.8188i −0.359351 0.915612i
\(518\) 13.3424 + 31.4707i 0.586229 + 1.38274i
\(519\) 14.5782 2.64202i 0.639914 0.115972i
\(520\) −46.2115 −2.02651
\(521\) 8.51982 + 14.7568i 0.373260 + 0.646506i 0.990065 0.140611i \(-0.0449065\pi\)
−0.616805 + 0.787116i \(0.711573\pi\)
\(522\) −9.76550 + 2.07093i −0.427424 + 0.0906420i
\(523\) 17.4129 + 5.37117i 0.761414 + 0.234865i 0.651059 0.759027i \(-0.274325\pi\)
0.110355 + 0.993892i \(0.464801\pi\)
\(524\) −0.0795788 1.06191i −0.00347642 0.0463895i
\(525\) −13.2020 + 40.1985i −0.576183 + 1.75441i
\(526\) 0.410410 5.47655i 0.0178947 0.238789i
\(527\) 7.33625 18.6925i 0.319572 0.814257i
\(528\) −21.6301 13.8250i −0.941330 0.601656i
\(529\) 1.68533 + 0.519855i 0.0732752 + 0.0226024i
\(530\) 21.1098 14.3924i 0.916951 0.625166i
\(531\) −26.7131 + 10.0113i −1.15925 + 0.434452i
\(532\) 2.47558 0.441766i 0.107330 0.0191530i
\(533\) 11.3211 10.5045i 0.490373 0.454999i
\(534\) 3.28707 1.12181i 0.142246 0.0485454i
\(535\) 40.8933 51.2786i 1.76797 2.21697i
\(536\) 8.48469 37.1738i 0.366483 1.60567i
\(537\) −7.30120 + 3.78703i −0.315070 + 0.163422i
\(538\) −8.55049 14.8099i −0.368638 0.638500i
\(539\) 10.7595 21.2017i 0.463446 0.913224i
\(540\) 2.27995 + 3.24375i 0.0981136 + 0.139589i
\(541\) 1.49512 19.9510i 0.0642802 0.857759i −0.868125 0.496345i \(-0.834675\pi\)
0.932405 0.361414i \(-0.117706\pi\)
\(542\) 16.0221 + 14.8663i 0.688207 + 0.638563i
\(543\) 12.8644 + 30.1174i 0.552065 + 1.29246i
\(544\) 3.82084 1.17857i 0.163817 0.0505309i
\(545\) 6.65224 + 2.05194i 0.284951 + 0.0878956i
\(546\) −26.7531 16.0993i −1.14493 0.688986i
\(547\) −4.16169 + 1.28371i −0.177941 + 0.0548875i −0.382445 0.923978i \(-0.624918\pi\)
0.204504 + 0.978866i \(0.434442\pi\)
\(548\) 2.70093 1.84147i 0.115378 0.0786635i
\(549\) 10.3717 10.8377i 0.442651 0.462542i
\(550\) −38.4518 26.2160i −1.63959 1.11785i
\(551\) −6.56990 8.23839i −0.279887 0.350967i
\(552\) 20.4124 10.5876i 0.868808 0.450638i
\(553\) −0.639938 + 3.19948i −0.0272129 + 0.136056i
\(554\) −6.44790 + 4.39610i −0.273945 + 0.186772i
\(555\) −54.8350 15.1474i −2.32762 0.642970i
\(556\) 0.702392 0.105869i 0.0297880 0.00448983i
\(557\) 8.28974 + 14.3583i 0.351248 + 0.608379i 0.986468 0.163952i \(-0.0524242\pi\)
−0.635221 + 0.772331i \(0.719091\pi\)
\(558\) 14.0299 + 21.2761i 0.593933 + 0.900690i
\(559\) −7.43954 9.32889i −0.314659 0.394570i
\(560\) −41.2587 + 13.9568i −1.74350 + 0.589781i
\(561\) −8.10614 18.9776i −0.342241 0.801234i
\(562\) −34.3628 5.17936i −1.44951 0.218478i
\(563\) −5.47568 2.63695i −0.230772 0.111134i 0.314925 0.949117i \(-0.398021\pi\)
−0.545697 + 0.837983i \(0.683735\pi\)
\(564\) −1.86647 + 1.35540i −0.0785926 + 0.0570727i
\(565\) 21.5862 27.0682i 0.908139 1.13877i
\(566\) −12.2874 + 15.4079i −0.516477 + 0.647642i
\(567\) −1.68759 23.7519i −0.0708721 0.997485i
\(568\) −15.6956 19.6816i −0.658572 0.825823i
\(569\) 4.77384 0.200130 0.100065 0.994981i \(-0.468095\pi\)
0.100065 + 0.994981i \(0.468095\pi\)
\(570\) −21.6036 + 40.1237i −0.904877 + 1.68060i
\(571\) 8.23027 + 10.3204i 0.344426 + 0.431896i 0.923630 0.383286i \(-0.125208\pi\)
−0.579204 + 0.815183i \(0.696636\pi\)
\(572\) 2.31210 2.14532i 0.0966738 0.0897002i
\(573\) −25.2247 + 18.3178i −1.05378 + 0.765236i
\(574\) 6.29233 11.6115i 0.262637 0.484654i
\(575\) 41.3961 19.9353i 1.72634 0.831361i
\(576\) 6.53182 20.0708i 0.272159 0.836282i
\(577\) −9.96573 6.79452i −0.414879 0.282860i 0.337838 0.941204i \(-0.390305\pi\)
−0.752717 + 0.658345i \(0.771257\pi\)
\(578\) −6.65809 2.05375i −0.276940 0.0854247i
\(579\) 16.3473 11.8712i 0.679372 0.493349i
\(580\) −1.25422 1.16374i −0.0520785 0.0483218i
\(581\) 14.6598 + 1.80648i 0.608191 + 0.0749453i
\(582\) 8.36890 + 32.2256i 0.346902 + 1.33579i
\(583\) 3.44907 15.1114i 0.142846 0.625848i
\(584\) −10.7733 1.62382i −0.445803 0.0671940i
\(585\) 48.6598 18.2363i 2.01184 0.753977i
\(586\) −1.36795 + 18.2540i −0.0565093 + 0.754065i
\(587\) 9.29403 + 16.0977i 0.383606 + 0.664425i 0.991575 0.129536i \(-0.0413488\pi\)
−0.607969 + 0.793961i \(0.708015\pi\)
\(588\) −2.39547 0.524445i −0.0987873 0.0216277i
\(589\) −13.4507 + 23.2973i −0.554227 + 0.959949i
\(590\) −43.9875 29.9902i −1.81094 1.23468i
\(591\) 14.3743 + 12.5644i 0.591281 + 0.516831i
\(592\) −13.8791 35.3633i −0.570427 1.45342i
\(593\) −25.2185 23.3993i −1.03560 0.960895i −0.0363382 0.999340i \(-0.511569\pi\)
−0.999261 + 0.0384442i \(0.987760\pi\)
\(594\) 25.6147 + 5.46344i 1.05098 + 0.224168i
\(595\) −33.7242 9.41367i −1.38256 0.385923i
\(596\) −2.67679 + 0.825681i −0.109646 + 0.0338212i
\(597\) −33.2795 14.8264i −1.36204 0.606803i
\(598\) 7.54488 + 33.0563i 0.308533 + 1.35177i
\(599\) −14.7678 + 7.11182i −0.603398 + 0.290581i −0.710533 0.703663i \(-0.751546\pi\)
0.107136 + 0.994244i \(0.465832\pi\)
\(600\) 14.4014 40.1603i 0.587935 1.63954i
\(601\) 5.46715 + 3.72744i 0.223010 + 0.152045i 0.669671 0.742657i \(-0.266435\pi\)
−0.446662 + 0.894703i \(0.647387\pi\)
\(602\) −8.58278 5.51835i −0.349808 0.224911i
\(603\) 5.73555 + 42.4916i 0.233570 + 1.73039i
\(604\) 1.02626 + 0.316561i 0.0417581 + 0.0128807i
\(605\) −2.00089 + 0.301586i −0.0813479 + 0.0122612i
\(606\) 5.97946 + 9.68125i 0.242899 + 0.393274i
\(607\) −8.75556 15.1651i −0.355377 0.615531i 0.631805 0.775127i \(-0.282314\pi\)
−0.987182 + 0.159596i \(0.948981\pi\)
\(608\) −5.29683 + 0.798369i −0.214815 + 0.0323782i
\(609\) 2.85031 + 9.87223i 0.115500 + 0.400043i
\(610\) 27.6822 + 4.17241i 1.12082 + 0.168936i
\(611\) 11.0451 + 28.1425i 0.446837 + 1.13852i
\(612\) −1.68434 + 1.30121i −0.0680854 + 0.0525984i
\(613\) 1.56908 + 20.9380i 0.0633747 + 0.845676i 0.934806 + 0.355159i \(0.115573\pi\)
−0.871431 + 0.490517i \(0.836808\pi\)
\(614\) 14.4554 18.1265i 0.583373 0.731526i
\(615\) 8.63387 + 20.2131i 0.348151 + 0.815070i
\(616\) −11.4224 + 21.0783i −0.460223 + 0.849268i
\(617\) −9.87463 + 1.48836i −0.397538 + 0.0599192i −0.344769 0.938688i \(-0.612043\pi\)
−0.0527688 + 0.998607i \(0.516805\pi\)
\(618\) 28.2378 0.838487i 1.13589 0.0337289i
\(619\) −8.22394 + 14.2443i −0.330548 + 0.572526i −0.982619 0.185632i \(-0.940567\pi\)
0.652071 + 0.758158i \(0.273900\pi\)
\(620\) −1.59581 + 4.06607i −0.0640895 + 0.163297i
\(621\) −17.3157 + 19.2038i −0.694855 + 0.770622i
\(622\) 33.2251 + 16.0004i 1.33220 + 0.641556i
\(623\) −1.39547 3.29150i −0.0559083 0.131871i
\(624\) 29.2391 + 18.6883i 1.17050 + 0.748132i
\(625\) 5.14517 13.1097i 0.205807 0.524387i
\(626\) 12.0202 5.78861i 0.480423 0.231359i
\(627\) 6.94908 + 26.7584i 0.277519 + 1.06863i
\(628\) −4.34472 2.09231i −0.173373 0.0834922i
\(629\) 6.79557 29.7733i 0.270957 1.18714i
\(630\) 34.4202 28.1063i 1.37133 1.11978i
\(631\) 4.06390 + 17.8051i 0.161781 + 0.708809i 0.989121 + 0.147107i \(0.0469962\pi\)
−0.827339 + 0.561702i \(0.810147\pi\)
\(632\) 0.732118 3.20762i 0.0291221 0.127592i
\(633\) −38.3624 4.62239i −1.52477 0.183723i
\(634\) −6.08296 + 26.6512i −0.241585 + 1.05845i
\(635\) −55.9657 38.1568i −2.22093 1.51421i
\(636\) −1.59795 + 0.0474491i −0.0633629 + 0.00188148i
\(637\) −14.5445 + 28.6601i −0.576274 + 1.13555i
\(638\) −11.3021 −0.447455
\(639\) 24.2940 + 14.5305i 0.961057 + 0.574818i
\(640\) 45.8585 14.1455i 1.81272 0.559149i
\(641\) 7.02554 + 17.9008i 0.277492 + 0.707038i 0.999879 + 0.0155492i \(0.00494965\pi\)
−0.722387 + 0.691489i \(0.756955\pi\)
\(642\) −42.2907 + 14.4329i −1.66908 + 0.569622i
\(643\) −6.18410 1.90754i −0.243877 0.0752262i 0.170407 0.985374i \(-0.445492\pi\)
−0.414284 + 0.910148i \(0.635968\pi\)
\(644\) 1.39320 + 2.26936i 0.0548998 + 0.0894254i
\(645\) 16.0717 5.48493i 0.632822 0.215969i
\(646\) −22.0403 10.6141i −0.867166 0.417605i
\(647\) 32.2555 29.9288i 1.26810 1.17662i 0.292690 0.956207i \(-0.405450\pi\)
0.975406 0.220414i \(-0.0707408\pi\)
\(648\) 1.05470 + 23.9875i 0.0414324 + 0.942318i
\(649\) −31.9373 + 4.81377i −1.25365 + 0.188957i
\(650\) 51.9783 + 35.4382i 2.03876 + 1.39000i
\(651\) 20.8028 15.9816i 0.815327 0.626369i
\(652\) 2.13446 1.45525i 0.0835918 0.0569919i
\(653\) 19.1313 17.7513i 0.748667 0.694662i −0.210471 0.977600i \(-0.567500\pi\)
0.959138 + 0.282938i \(0.0913092\pi\)
\(654\) −3.06595 3.61880i −0.119888 0.141506i
\(655\) 9.93167 17.2022i 0.388062 0.672144i
\(656\) −7.33889 + 12.7113i −0.286536 + 0.496294i
\(657\) 11.9849 2.54158i 0.467575 0.0991566i
\(658\) 16.6588 + 19.7705i 0.649429 + 0.770732i
\(659\) −20.7157 3.12239i −0.806968 0.121631i −0.267414 0.963582i \(-0.586169\pi\)
−0.539554 + 0.841951i \(0.681407\pi\)
\(660\) 1.76328 + 4.12809i 0.0686357 + 0.160686i
\(661\) −32.8165 15.8036i −1.27641 0.614688i −0.331947 0.943298i \(-0.607705\pi\)
−0.944466 + 0.328610i \(0.893420\pi\)
\(662\) 7.41642 + 3.57156i 0.288247 + 0.138813i
\(663\) 10.9577 + 25.6535i 0.425562 + 0.996299i
\(664\) −14.7277 2.21985i −0.571547 0.0861468i
\(665\) 42.7953 + 19.2041i 1.65953 + 0.744702i
\(666\) 25.9213 + 28.8157i 1.00443 + 1.11659i
\(667\) 5.57917 9.66341i 0.216026 0.374169i
\(668\) 0.397620 0.688699i 0.0153844 0.0266466i
\(669\) −3.10607 3.66615i −0.120088 0.141742i
\(670\) −58.6570 + 54.4257i −2.26612 + 2.10265i
\(671\) 14.0325 9.56722i 0.541720 0.369338i
\(672\) 5.07070 + 1.25445i 0.195606 + 0.0483915i
\(673\) −21.5856 14.7168i −0.832063 0.567291i 0.0706666 0.997500i \(-0.477487\pi\)
−0.902729 + 0.430209i \(0.858440\pi\)
\(674\) 25.3090 3.81471i 0.974865 0.146937i
\(675\) 0.683886 + 47.9712i 0.0263228 + 1.84641i
\(676\) −1.19803 + 1.11161i −0.0460781 + 0.0427543i
\(677\) 16.6712 + 8.02843i 0.640727 + 0.308558i 0.725892 0.687809i \(-0.241427\pi\)
−0.0851649 + 0.996367i \(0.527142\pi\)
\(678\) −22.3239 + 7.61866i −0.857343 + 0.292593i
\(679\) 32.4640 10.9817i 1.24585 0.421440i
\(680\) 33.7374 + 10.4066i 1.29377 + 0.399075i
\(681\) 16.8278 5.74297i 0.644843 0.220071i
\(682\) 10.5416 + 26.8594i 0.403657 + 1.02850i
\(683\) −29.1932 + 9.00490i −1.11705 + 0.344563i −0.797687 0.603071i \(-0.793943\pi\)
−0.319358 + 0.947634i \(0.603467\pi\)
\(684\) 2.49108 1.38742i 0.0952487 0.0530494i
\(685\) 60.9760 2.32977
\(686\) −3.92842 + 27.2019i −0.149988 + 1.03857i
\(687\) −34.8653 + 1.03528i −1.33019 + 0.0394984i
\(688\) 9.36974 + 6.38818i 0.357218 + 0.243547i
\(689\) −4.66238 + 20.4272i −0.177622 + 0.778215i
\(690\) −47.9093 5.77273i −1.82388 0.219764i
\(691\) −4.73209 + 20.7326i −0.180017 + 0.788706i 0.801602 + 0.597858i \(0.203981\pi\)
−0.981619 + 0.190849i \(0.938876\pi\)
\(692\) −0.384973 1.68668i −0.0146345 0.0641179i
\(693\) 3.70957 26.7026i 0.140915 1.01435i
\(694\) 9.31438 40.8090i 0.353569 1.54909i
\(695\) 11.9376 + 5.74885i 0.452820 + 0.218066i
\(696\) −2.60441 10.0286i −0.0987200 0.380135i
\(697\) −10.6307 + 5.11948i −0.402667 + 0.193914i
\(698\) 8.79896 22.4194i 0.333045 0.848586i
\(699\) −33.4782 21.3978i −1.26626 0.809339i
\(700\) 4.75879 + 1.32835i 0.179865 + 0.0502070i
\(701\) −19.3762 9.33109i −0.731829 0.352430i 0.0305740 0.999533i \(-0.490266\pi\)
−0.762403 + 0.647102i \(0.775981\pi\)
\(702\) −34.6254 7.38536i −1.30685 0.278743i
\(703\) −14.9470 + 38.0842i −0.563735 + 1.43637i
\(704\) 11.9483 20.6951i 0.450320 0.779977i
\(705\) −43.0080 + 1.27707i −1.61977 + 0.0480971i
\(706\) 36.6279 5.52077i 1.37851 0.207777i
\(707\) 9.49589 6.85677i 0.357130 0.257875i
\(708\) 1.30852 + 3.06343i 0.0491773 + 0.115131i
\(709\) 10.6826 13.3956i 0.401195 0.503082i −0.539664 0.841880i \(-0.681449\pi\)
0.940859 + 0.338798i \(0.110020\pi\)
\(710\) 3.94787 + 52.6807i 0.148161 + 1.97707i
\(711\) 0.494903 + 3.66647i 0.0185603 + 0.137503i
\(712\) 1.31704 + 3.35576i 0.0493582 + 0.125763i
\(713\) −28.1688 4.24576i −1.05493 0.159005i
\(714\) 15.9060 + 17.7782i 0.595267 + 0.665332i
\(715\) 58.1761 8.76863i 2.17566 0.327928i
\(716\) 0.480218 + 0.831761i 0.0179466 + 0.0310844i
\(717\) 6.74072 + 10.9138i 0.251737 + 0.407584i
\(718\) 26.0365 3.92436i 0.971672 0.146456i
\(719\) −2.32534 0.717273i −0.0867206 0.0267498i 0.251091 0.967963i \(-0.419211\pi\)
−0.337812 + 0.941214i \(0.609687\pi\)
\(720\) −39.0830 + 30.1930i −1.45654 + 1.12523i
\(721\) −2.95486 28.9283i −0.110045 1.07735i
\(722\) 3.78119 + 2.57797i 0.140721 + 0.0959422i
\(723\) 8.29013 23.1182i 0.308313 0.859774i
\(724\) 3.44553 1.65928i 0.128052 0.0616666i
\(725\) −4.60686 20.1840i −0.171095 0.749614i
\(726\) 1.25931 + 0.561036i 0.0467374 + 0.0208220i
\(727\) 25.7202 7.93364i 0.953911 0.294242i 0.221542 0.975151i \(-0.428891\pi\)
0.732369 + 0.680908i \(0.238415\pi\)
\(728\) 15.4406 28.4932i 0.572267 1.05603i
\(729\) −10.5767 24.8422i −0.391729 0.920081i
\(730\) 16.7603 + 15.5513i 0.620326 + 0.575579i
\(731\) 3.33053 + 8.48604i 0.123184 + 0.313868i
\(732\) −1.31887 1.15281i −0.0487468 0.0426090i
\(733\) −7.84172 5.34639i −0.289641 0.197474i 0.409779 0.912185i \(-0.365606\pi\)
−0.699420 + 0.714711i \(0.746558\pi\)
\(734\) 2.70576 4.68651i 0.0998714 0.172982i
\(735\) −31.4080 33.2534i −1.15850 1.22657i
\(736\) −2.83619 4.91242i −0.104543 0.181074i
\(737\) −3.62771 + 48.4085i −0.133628 + 1.78315i
\(738\) 2.46013 14.7717i 0.0905587 0.543752i
\(739\) 28.2386 + 4.25629i 1.03878 + 0.156570i 0.646215 0.763156i \(-0.276351\pi\)
0.392561 + 0.919726i \(0.371589\pi\)
\(740\) −1.47820 + 6.47643i −0.0543398 + 0.238078i
\(741\) −9.39362 36.1714i −0.345083 1.32879i
\(742\) 1.82070 + 17.8248i 0.0668401 + 0.654370i
\(743\) 10.7999 + 10.0208i 0.396209 + 0.367629i 0.852969 0.521962i \(-0.174800\pi\)
−0.456760 + 0.889590i \(0.650990\pi\)
\(744\) −21.4039 + 15.5432i −0.784705 + 0.569840i
\(745\) −49.9304 15.4015i −1.82931 0.564267i
\(746\) 17.5138 + 11.9407i 0.641227 + 0.437181i
\(747\) 16.3840 3.47449i 0.599460 0.127125i
\(748\) −2.17110 + 1.04555i −0.0793832 + 0.0382289i
\(749\) 17.9538 + 42.3477i 0.656017 + 1.54735i
\(750\) −33.2140 + 24.1195i −1.21281 + 0.880719i
\(751\) 34.6063 32.1099i 1.26280 1.17171i 0.285843 0.958277i \(-0.407726\pi\)
0.976958 0.213431i \(-0.0684640\pi\)
\(752\) −17.9145 22.4641i −0.653276 0.819183i
\(753\) 0.131139 0.243561i 0.00477899 0.00887585i
\(754\) 15.2780 0.556391
\(755\) 12.4904 + 15.6624i 0.454571 + 0.570014i
\(756\) −2.76183 + 0.321947i −0.100447 + 0.0117091i
\(757\) 25.4985 31.9741i 0.926760 1.16212i −0.0597166 0.998215i \(-0.519020\pi\)
0.986476 0.163904i \(-0.0524089\pi\)
\(758\) −32.9715 + 41.3449i −1.19758 + 1.50172i
\(759\) −23.6883 + 17.2021i −0.859832 + 0.624396i
\(760\) −42.6145 20.5220i −1.54579 0.744413i
\(761\) 30.2263 + 4.55588i 1.09570 + 0.165151i 0.671927 0.740617i \(-0.265467\pi\)
0.423775 + 0.905768i \(0.360705\pi\)
\(762\) 18.1278 + 42.4396i 0.656700 + 1.53742i
\(763\) −3.48790 + 3.41603i −0.126270 + 0.123669i
\(764\) 2.26966 + 2.84606i 0.0821134 + 0.102967i
\(765\) −39.6316 + 2.35570i −1.43288 + 0.0851703i
\(766\) −14.1741 24.5502i −0.512130 0.887035i
\(767\) 43.1721 6.50715i 1.55886 0.234960i
\(768\) −8.02396 2.21650i −0.289540 0.0799811i
\(769\) −31.5607 + 21.5177i −1.13811 + 0.775948i −0.977472 0.211065i \(-0.932307\pi\)
−0.160635 + 0.987014i \(0.551354\pi\)
\(770\) 44.7232 23.0446i 1.61171 0.830471i
\(771\) 4.97002 2.57788i 0.178991 0.0928401i
\(772\) −1.47089 1.84444i −0.0529386 0.0663829i
\(773\) −42.1141