Properties

Label 630.2.i.f.121.6
Level 630
Weight 2
Character 630.121
Analytic conductor 5.031
Analytic rank 0
Dimension 12
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 630.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{3})\)
Coefficient field: 12.0.91830304992969.1
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 121.6
Root \(0.309529 + 1.37992i\)
Character \(\chi\) = 630.121
Dual form 630.2.i.f.151.6

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(1.72817 + 0.115916i) q^{3} +1.00000 q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.72817 - 0.115916i) q^{6} +(1.23855 - 2.33795i) q^{7} -1.00000 q^{8} +(2.97313 + 0.400645i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(1.72817 + 0.115916i) q^{3} +1.00000 q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.72817 - 0.115916i) q^{6} +(1.23855 - 2.33795i) q^{7} -1.00000 q^{8} +(2.97313 + 0.400645i) q^{9} +(0.500000 + 0.866025i) q^{10} +(1.85703 - 3.21646i) q^{11} +(1.72817 + 0.115916i) q^{12} +(-1.26810 + 2.19641i) q^{13} +(-1.23855 + 2.33795i) q^{14} +(-0.763698 - 1.55460i) q^{15} +1.00000 q^{16} +(-1.48113 - 2.56539i) q^{17} +(-2.97313 - 0.400645i) q^{18} +(-1.26810 + 2.19641i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(2.41143 - 3.89680i) q^{21} +(-1.85703 + 3.21646i) q^{22} +(-1.21303 - 2.10103i) q^{23} +(-1.72817 - 0.115916i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(1.26810 - 2.19641i) q^{26} +(5.09162 + 1.03701i) q^{27} +(1.23855 - 2.33795i) q^{28} +(-5.04131 - 8.73180i) q^{29} +(0.763698 + 1.55460i) q^{30} +9.87519 q^{31} -1.00000 q^{32} +(3.58209 - 5.34333i) q^{33} +(1.48113 + 2.56539i) q^{34} +(-2.64400 + 0.0963576i) q^{35} +(2.97313 + 0.400645i) q^{36} +(1.36906 - 2.37128i) q^{37} +(1.26810 - 2.19641i) q^{38} +(-2.44609 + 3.64877i) q^{39} +(0.500000 + 0.866025i) q^{40} +(-5.50745 + 9.53918i) q^{41} +(-2.41143 + 3.89680i) q^{42} +(1.65213 + 2.86157i) q^{43} +(1.85703 - 3.21646i) q^{44} +(-1.13960 - 2.77513i) q^{45} +(1.21303 + 2.10103i) q^{46} -0.695738 q^{47} +(1.72817 + 0.115916i) q^{48} +(-3.93199 - 5.79133i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-2.26227 - 4.60511i) q^{51} +(-1.26810 + 2.19641i) q^{52} +(4.25802 + 7.37510i) q^{53} +(-5.09162 - 1.03701i) q^{54} -3.71405 q^{55} +(-1.23855 + 2.33795i) q^{56} +(-2.44609 + 3.64877i) q^{57} +(5.04131 + 8.73180i) q^{58} +12.2301 q^{59} +(-0.763698 - 1.55460i) q^{60} +12.5327 q^{61} -9.87519 q^{62} +(4.61905 - 6.45479i) q^{63} +1.00000 q^{64} +2.53620 q^{65} +(-3.58209 + 5.34333i) q^{66} -10.3227 q^{67} +(-1.48113 - 2.56539i) q^{68} +(-1.85278 - 3.77154i) q^{69} +(2.64400 - 0.0963576i) q^{70} +2.43471 q^{71} +(-2.97313 - 0.400645i) q^{72} +(0.729393 + 1.26335i) q^{73} +(-1.36906 + 2.37128i) q^{74} +(-0.964470 + 1.43868i) q^{75} +(-1.26810 + 2.19641i) q^{76} +(-5.21990 - 8.32538i) q^{77} +(2.44609 - 3.64877i) q^{78} +2.27946 q^{79} +(-0.500000 - 0.866025i) q^{80} +(8.67897 + 2.38233i) q^{81} +(5.50745 - 9.53918i) q^{82} +(-5.39560 - 9.34546i) q^{83} +(2.41143 - 3.89680i) q^{84} +(-1.48113 + 2.56539i) q^{85} +(-1.65213 - 2.86157i) q^{86} +(-7.70007 - 15.6744i) q^{87} +(-1.85703 + 3.21646i) q^{88} +(-7.50572 + 13.0003i) q^{89} +(1.13960 + 2.77513i) q^{90} +(3.56449 + 5.68511i) q^{91} +(-1.21303 - 2.10103i) q^{92} +(17.0660 + 1.14469i) q^{93} +0.695738 q^{94} +2.53620 q^{95} +(-1.72817 - 0.115916i) q^{96} +(0.0494422 + 0.0856364i) q^{97} +(3.93199 + 5.79133i) q^{98} +(6.80983 - 8.81895i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 12q^{2} + 2q^{3} + 12q^{4} - 6q^{5} - 2q^{6} + 4q^{7} - 12q^{8} - 4q^{9} + O(q^{10}) \) \( 12q - 12q^{2} + 2q^{3} + 12q^{4} - 6q^{5} - 2q^{6} + 4q^{7} - 12q^{8} - 4q^{9} + 6q^{10} - 7q^{11} + 2q^{12} - 2q^{13} - 4q^{14} - q^{15} + 12q^{16} + q^{17} + 4q^{18} - 2q^{19} - 6q^{20} + 29q^{21} + 7q^{22} - 9q^{23} - 2q^{24} - 6q^{25} + 2q^{26} + 11q^{27} + 4q^{28} + 3q^{29} + q^{30} + 18q^{31} - 12q^{32} + 27q^{33} - q^{34} - 8q^{35} - 4q^{36} + 6q^{37} + 2q^{38} + 10q^{39} + 6q^{40} - 11q^{41} - 29q^{42} + 23q^{43} - 7q^{44} + 5q^{45} + 9q^{46} - 2q^{47} + 2q^{48} + 24q^{49} + 6q^{50} - 15q^{51} - 2q^{52} - 4q^{53} - 11q^{54} + 14q^{55} - 4q^{56} + 10q^{57} - 3q^{58} - 22q^{59} - q^{60} + 50q^{61} - 18q^{62} - q^{63} + 12q^{64} + 4q^{65} - 27q^{66} + 4q^{67} + q^{68} - 12q^{69} + 8q^{70} + 22q^{71} + 4q^{72} + 24q^{73} - 6q^{74} - q^{75} - 2q^{76} - 11q^{77} - 10q^{78} + 2q^{79} - 6q^{80} + 20q^{81} + 11q^{82} + 4q^{83} + 29q^{84} + q^{85} - 23q^{86} + 7q^{88} + 2q^{89} - 5q^{90} - 8q^{91} - 9q^{92} + 40q^{93} + 2q^{94} + 4q^{95} - 2q^{96} - 36q^{97} - 24q^{98} + 15q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) 1.72817 + 0.115916i 0.997758 + 0.0669241i
\(4\) 1.00000 0.500000
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) −1.72817 0.115916i −0.705521 0.0473225i
\(7\) 1.23855 2.33795i 0.468128 0.883661i
\(8\) −1.00000 −0.353553
\(9\) 2.97313 + 0.400645i 0.991042 + 0.133548i
\(10\) 0.500000 + 0.866025i 0.158114 + 0.273861i
\(11\) 1.85703 3.21646i 0.559914 0.969800i −0.437589 0.899175i \(-0.644167\pi\)
0.997503 0.0706248i \(-0.0224993\pi\)
\(12\) 1.72817 + 0.115916i 0.498879 + 0.0334621i
\(13\) −1.26810 + 2.19641i −0.351707 + 0.609175i −0.986549 0.163468i \(-0.947732\pi\)
0.634841 + 0.772642i \(0.281065\pi\)
\(14\) −1.23855 + 2.33795i −0.331016 + 0.624843i
\(15\) −0.763698 1.55460i −0.197186 0.401395i
\(16\) 1.00000 0.250000
\(17\) −1.48113 2.56539i −0.359226 0.622198i 0.628605 0.777724i \(-0.283626\pi\)
−0.987832 + 0.155526i \(0.950293\pi\)
\(18\) −2.97313 0.400645i −0.700773 0.0944328i
\(19\) −1.26810 + 2.19641i −0.290922 + 0.503891i −0.974028 0.226428i \(-0.927295\pi\)
0.683106 + 0.730319i \(0.260629\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) 2.41143 3.89680i 0.526217 0.850351i
\(22\) −1.85703 + 3.21646i −0.395919 + 0.685752i
\(23\) −1.21303 2.10103i −0.252934 0.438095i 0.711398 0.702789i \(-0.248062\pi\)
−0.964332 + 0.264694i \(0.914729\pi\)
\(24\) −1.72817 0.115916i −0.352761 0.0236613i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 1.26810 2.19641i 0.248695 0.430752i
\(27\) 5.09162 + 1.03701i 0.979883 + 0.199573i
\(28\) 1.23855 2.33795i 0.234064 0.441830i
\(29\) −5.04131 8.73180i −0.936147 1.62145i −0.772575 0.634923i \(-0.781032\pi\)
−0.163572 0.986531i \(-0.552302\pi\)
\(30\) 0.763698 + 1.55460i 0.139431 + 0.283829i
\(31\) 9.87519 1.77364 0.886819 0.462118i \(-0.152910\pi\)
0.886819 + 0.462118i \(0.152910\pi\)
\(32\) −1.00000 −0.176777
\(33\) 3.58209 5.34333i 0.623562 0.930154i
\(34\) 1.48113 + 2.56539i 0.254011 + 0.439961i
\(35\) −2.64400 + 0.0963576i −0.446917 + 0.0162874i
\(36\) 2.97313 + 0.400645i 0.495521 + 0.0667741i
\(37\) 1.36906 2.37128i 0.225072 0.389837i −0.731269 0.682089i \(-0.761071\pi\)
0.956341 + 0.292253i \(0.0944048\pi\)
\(38\) 1.26810 2.19641i 0.205713 0.356305i
\(39\) −2.44609 + 3.64877i −0.391687 + 0.584271i
\(40\) 0.500000 + 0.866025i 0.0790569 + 0.136931i
\(41\) −5.50745 + 9.53918i −0.860119 + 1.48977i 0.0116943 + 0.999932i \(0.496278\pi\)
−0.871813 + 0.489838i \(0.837056\pi\)
\(42\) −2.41143 + 3.89680i −0.372091 + 0.601289i
\(43\) 1.65213 + 2.86157i 0.251948 + 0.436386i 0.964062 0.265677i \(-0.0855956\pi\)
−0.712114 + 0.702063i \(0.752262\pi\)
\(44\) 1.85703 3.21646i 0.279957 0.484900i
\(45\) −1.13960 2.77513i −0.169881 0.413691i
\(46\) 1.21303 + 2.10103i 0.178851 + 0.309780i
\(47\) −0.695738 −0.101484 −0.0507419 0.998712i \(-0.516159\pi\)
−0.0507419 + 0.998712i \(0.516159\pi\)
\(48\) 1.72817 + 0.115916i 0.249440 + 0.0167310i
\(49\) −3.93199 5.79133i −0.561713 0.827332i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) −2.26227 4.60511i −0.316781 0.644844i
\(52\) −1.26810 + 2.19641i −0.175854 + 0.304587i
\(53\) 4.25802 + 7.37510i 0.584884 + 1.01305i 0.994890 + 0.100965i \(0.0321932\pi\)
−0.410006 + 0.912083i \(0.634473\pi\)
\(54\) −5.09162 1.03701i −0.692882 0.141120i
\(55\) −3.71405 −0.500803
\(56\) −1.23855 + 2.33795i −0.165508 + 0.312421i
\(57\) −2.44609 + 3.64877i −0.323992 + 0.483292i
\(58\) 5.04131 + 8.73180i 0.661956 + 1.14654i
\(59\) 12.2301 1.59222 0.796111 0.605151i \(-0.206887\pi\)
0.796111 + 0.605151i \(0.206887\pi\)
\(60\) −0.763698 1.55460i −0.0985929 0.200697i
\(61\) 12.5327 1.60465 0.802327 0.596885i \(-0.203595\pi\)
0.802327 + 0.596885i \(0.203595\pi\)
\(62\) −9.87519 −1.25415
\(63\) 4.61905 6.45479i 0.581946 0.813228i
\(64\) 1.00000 0.125000
\(65\) 2.53620 0.314577
\(66\) −3.58209 + 5.34333i −0.440925 + 0.657718i
\(67\) −10.3227 −1.26112 −0.630561 0.776140i \(-0.717175\pi\)
−0.630561 + 0.776140i \(0.717175\pi\)
\(68\) −1.48113 2.56539i −0.179613 0.311099i
\(69\) −1.85278 3.77154i −0.223048 0.454040i
\(70\) 2.64400 0.0963576i 0.316018 0.0115169i
\(71\) 2.43471 0.288947 0.144474 0.989509i \(-0.453851\pi\)
0.144474 + 0.989509i \(0.453851\pi\)
\(72\) −2.97313 0.400645i −0.350386 0.0472164i
\(73\) 0.729393 + 1.26335i 0.0853690 + 0.147863i 0.905548 0.424243i \(-0.139460\pi\)
−0.820179 + 0.572106i \(0.806126\pi\)
\(74\) −1.36906 + 2.37128i −0.159150 + 0.275656i
\(75\) −0.964470 + 1.43868i −0.111367 + 0.166124i
\(76\) −1.26810 + 2.19641i −0.145461 + 0.251946i
\(77\) −5.21990 8.32538i −0.594863 0.948765i
\(78\) 2.44609 3.64877i 0.276965 0.413142i
\(79\) 2.27946 0.256459 0.128229 0.991745i \(-0.459071\pi\)
0.128229 + 0.991745i \(0.459071\pi\)
\(80\) −0.500000 0.866025i −0.0559017 0.0968246i
\(81\) 8.67897 + 2.38233i 0.964330 + 0.264704i
\(82\) 5.50745 9.53918i 0.608196 1.05343i
\(83\) −5.39560 9.34546i −0.592244 1.02580i −0.993929 0.110020i \(-0.964909\pi\)
0.401685 0.915778i \(-0.368425\pi\)
\(84\) 2.41143 3.89680i 0.263108 0.425175i
\(85\) −1.48113 + 2.56539i −0.160651 + 0.278256i
\(86\) −1.65213 2.86157i −0.178154 0.308572i
\(87\) −7.70007 15.6744i −0.825534 1.68047i
\(88\) −1.85703 + 3.21646i −0.197960 + 0.342876i
\(89\) −7.50572 + 13.0003i −0.795605 + 1.37803i 0.126849 + 0.991922i \(0.459514\pi\)
−0.922454 + 0.386106i \(0.873820\pi\)
\(90\) 1.13960 + 2.77513i 0.120124 + 0.292524i
\(91\) 3.56449 + 5.68511i 0.373660 + 0.595962i
\(92\) −1.21303 2.10103i −0.126467 0.219047i
\(93\) 17.0660 + 1.14469i 1.76966 + 0.118699i
\(94\) 0.695738 0.0717599
\(95\) 2.53620 0.260208
\(96\) −1.72817 0.115916i −0.176380 0.0118306i
\(97\) 0.0494422 + 0.0856364i 0.00502010 + 0.00869506i 0.868525 0.495646i \(-0.165069\pi\)
−0.863504 + 0.504341i \(0.831735\pi\)
\(98\) 3.93199 + 5.79133i 0.397191 + 0.585012i
\(99\) 6.80983 8.81895i 0.684414 0.886337i
\(100\) −0.500000 + 0.866025i −0.0500000 + 0.0866025i
\(101\) 5.29440 9.17017i 0.526813 0.912466i −0.472699 0.881224i \(-0.656720\pi\)
0.999512 0.0312424i \(-0.00994639\pi\)
\(102\) 2.26227 + 4.60511i 0.223998 + 0.455974i
\(103\) −2.80875 4.86490i −0.276754 0.479353i 0.693822 0.720147i \(-0.255926\pi\)
−0.970576 + 0.240794i \(0.922592\pi\)
\(104\) 1.26810 2.19641i 0.124347 0.215376i
\(105\) −4.58044 0.139959i −0.447005 0.0136586i
\(106\) −4.25802 7.37510i −0.413575 0.716333i
\(107\) −7.95511 + 13.7787i −0.769049 + 1.33203i 0.169029 + 0.985611i \(0.445937\pi\)
−0.938079 + 0.346422i \(0.887397\pi\)
\(108\) 5.09162 + 1.03701i 0.489941 + 0.0997867i
\(109\) 5.34068 + 9.25033i 0.511544 + 0.886021i 0.999910 + 0.0133820i \(0.00425975\pi\)
−0.488366 + 0.872639i \(0.662407\pi\)
\(110\) 3.71405 0.354121
\(111\) 2.64084 3.93928i 0.250657 0.373900i
\(112\) 1.23855 2.33795i 0.117032 0.220915i
\(113\) 3.45901 5.99118i 0.325396 0.563603i −0.656196 0.754590i \(-0.727836\pi\)
0.981593 + 0.190987i \(0.0611689\pi\)
\(114\) 2.44609 3.64877i 0.229097 0.341739i
\(115\) −1.21303 + 2.10103i −0.113116 + 0.195922i
\(116\) −5.04131 8.73180i −0.468074 0.810727i
\(117\) −4.65020 + 6.02215i −0.429911 + 0.556748i
\(118\) −12.2301 −1.12587
\(119\) −7.83220 + 0.285436i −0.717976 + 0.0261659i
\(120\) 0.763698 + 1.55460i 0.0697157 + 0.141914i
\(121\) −1.39709 2.41983i −0.127008 0.219985i
\(122\) −12.5327 −1.13466
\(123\) −10.6235 + 15.8469i −0.957892 + 1.42887i
\(124\) 9.87519 0.886819
\(125\) 1.00000 0.0894427
\(126\) −4.61905 + 6.45479i −0.411498 + 0.575039i
\(127\) −16.7729 −1.48835 −0.744175 0.667984i \(-0.767157\pi\)
−0.744175 + 0.667984i \(0.767157\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 2.52346 + 5.13679i 0.222178 + 0.452269i
\(130\) −2.53620 −0.222439
\(131\) 8.02229 + 13.8950i 0.700911 + 1.21401i 0.968147 + 0.250382i \(0.0805562\pi\)
−0.267236 + 0.963631i \(0.586110\pi\)
\(132\) 3.58209 5.34333i 0.311781 0.465077i
\(133\) 3.56449 + 5.68511i 0.309080 + 0.492962i
\(134\) 10.3227 0.891748
\(135\) −1.64773 4.92798i −0.141814 0.424133i
\(136\) 1.48113 + 2.56539i 0.127006 + 0.219980i
\(137\) −4.24243 + 7.34811i −0.362456 + 0.627791i −0.988364 0.152105i \(-0.951395\pi\)
0.625909 + 0.779896i \(0.284728\pi\)
\(138\) 1.85278 + 3.77154i 0.157719 + 0.321055i
\(139\) −1.67921 + 2.90848i −0.142429 + 0.246694i −0.928411 0.371555i \(-0.878825\pi\)
0.785982 + 0.618250i \(0.212158\pi\)
\(140\) −2.64400 + 0.0963576i −0.223458 + 0.00814370i
\(141\) −1.20235 0.0806472i −0.101256 0.00679172i
\(142\) −2.43471 −0.204317
\(143\) 4.70978 + 8.15759i 0.393852 + 0.682172i
\(144\) 2.97313 + 0.400645i 0.247761 + 0.0333871i
\(145\) −5.04131 + 8.73180i −0.418658 + 0.725137i
\(146\) −0.729393 1.26335i −0.0603650 0.104555i
\(147\) −6.12383 10.4642i −0.505085 0.863070i
\(148\) 1.36906 2.37128i 0.112536 0.194918i
\(149\) −5.84456 10.1231i −0.478805 0.829315i 0.520899 0.853618i \(-0.325597\pi\)
−0.999705 + 0.0243030i \(0.992263\pi\)
\(150\) 0.964470 1.43868i 0.0787486 0.117468i
\(151\) −8.69754 + 15.0646i −0.707796 + 1.22594i 0.257877 + 0.966178i \(0.416977\pi\)
−0.965673 + 0.259761i \(0.916356\pi\)
\(152\) 1.26810 2.19641i 0.102856 0.178152i
\(153\) −3.37577 8.22064i −0.272915 0.664599i
\(154\) 5.21990 + 8.32538i 0.420632 + 0.670878i
\(155\) −4.93760 8.55217i −0.396597 0.686927i
\(156\) −2.44609 + 3.64877i −0.195844 + 0.292136i
\(157\) −5.10624 −0.407523 −0.203761 0.979021i \(-0.565317\pi\)
−0.203761 + 0.979021i \(0.565317\pi\)
\(158\) −2.27946 −0.181344
\(159\) 6.50368 + 13.2390i 0.515775 + 1.04992i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −6.41449 + 0.233769i −0.505533 + 0.0184236i
\(162\) −8.67897 2.38233i −0.681884 0.187174i
\(163\) −4.57141 + 7.91792i −0.358061 + 0.620180i −0.987637 0.156759i \(-0.949895\pi\)
0.629576 + 0.776939i \(0.283229\pi\)
\(164\) −5.50745 + 9.53918i −0.430060 + 0.744885i
\(165\) −6.41850 0.430518i −0.499680 0.0335158i
\(166\) 5.39560 + 9.34546i 0.418780 + 0.725348i
\(167\) −10.9734 + 19.0065i −0.849150 + 1.47077i 0.0328178 + 0.999461i \(0.489552\pi\)
−0.881968 + 0.471310i \(0.843781\pi\)
\(168\) −2.41143 + 3.89680i −0.186046 + 0.300644i
\(169\) 3.28385 + 5.68780i 0.252604 + 0.437523i
\(170\) 1.48113 2.56539i 0.113597 0.196756i
\(171\) −4.65020 + 6.02215i −0.355610 + 0.460526i
\(172\) 1.65213 + 2.86157i 0.125974 + 0.218193i
\(173\) 1.26648 0.0962889 0.0481445 0.998840i \(-0.484669\pi\)
0.0481445 + 0.998840i \(0.484669\pi\)
\(174\) 7.70007 + 15.6744i 0.583741 + 1.18827i
\(175\) 1.40545 + 2.24159i 0.106242 + 0.169448i
\(176\) 1.85703 3.21646i 0.139979 0.242450i
\(177\) 21.1356 + 1.41766i 1.58865 + 0.106558i
\(178\) 7.50572 13.0003i 0.562578 0.974413i
\(179\) 2.20490 + 3.81899i 0.164802 + 0.285445i 0.936585 0.350441i \(-0.113968\pi\)
−0.771783 + 0.635886i \(0.780635\pi\)
\(180\) −1.13960 2.77513i −0.0849404 0.206846i
\(181\) −5.47131 −0.406679 −0.203339 0.979108i \(-0.565180\pi\)
−0.203339 + 0.979108i \(0.565180\pi\)
\(182\) −3.56449 5.68511i −0.264217 0.421409i
\(183\) 21.6587 + 1.45275i 1.60106 + 0.107390i
\(184\) 1.21303 + 2.10103i 0.0894257 + 0.154890i
\(185\) −2.73812 −0.201311
\(186\) −17.0660 1.14469i −1.25134 0.0839330i
\(187\) −11.0020 −0.804544
\(188\) −0.695738 −0.0507419
\(189\) 8.73071 10.6195i 0.635066 0.772458i
\(190\) −2.53620 −0.183995
\(191\) 8.34357 0.603720 0.301860 0.953352i \(-0.402393\pi\)
0.301860 + 0.953352i \(0.402393\pi\)
\(192\) 1.72817 + 0.115916i 0.124720 + 0.00836552i
\(193\) −20.5384 −1.47839 −0.739194 0.673492i \(-0.764793\pi\)
−0.739194 + 0.673492i \(0.764793\pi\)
\(194\) −0.0494422 0.0856364i −0.00354974 0.00614834i
\(195\) 4.38297 + 0.293986i 0.313871 + 0.0210528i
\(196\) −3.93199 5.79133i −0.280856 0.413666i
\(197\) 7.91528 0.563940 0.281970 0.959423i \(-0.409012\pi\)
0.281970 + 0.959423i \(0.409012\pi\)
\(198\) −6.80983 + 8.81895i −0.483954 + 0.626735i
\(199\) 1.32856 + 2.30113i 0.0941790 + 0.163123i 0.909266 0.416216i \(-0.136644\pi\)
−0.815087 + 0.579339i \(0.803311\pi\)
\(200\) 0.500000 0.866025i 0.0353553 0.0612372i
\(201\) −17.8394 1.19657i −1.25829 0.0843995i
\(202\) −5.29440 + 9.17017i −0.372513 + 0.645211i
\(203\) −26.6584 + 0.971536i −1.87105 + 0.0681885i
\(204\) −2.26227 4.60511i −0.158390 0.322422i
\(205\) 11.0149 0.769314
\(206\) 2.80875 + 4.86490i 0.195695 + 0.338954i
\(207\) −2.76473 6.73262i −0.192162 0.467949i
\(208\) −1.26810 + 2.19641i −0.0879268 + 0.152294i
\(209\) 4.70978 + 8.15759i 0.325783 + 0.564272i
\(210\) 4.58044 + 0.139959i 0.316080 + 0.00965812i
\(211\) −2.51110 + 4.34936i −0.172871 + 0.299422i −0.939423 0.342761i \(-0.888638\pi\)
0.766551 + 0.642183i \(0.221971\pi\)
\(212\) 4.25802 + 7.37510i 0.292442 + 0.506524i
\(213\) 4.20759 + 0.282222i 0.288300 + 0.0193376i
\(214\) 7.95511 13.7787i 0.543800 0.941889i
\(215\) 1.65213 2.86157i 0.112674 0.195158i
\(216\) −5.09162 1.03701i −0.346441 0.0705599i
\(217\) 12.2309 23.0877i 0.830289 1.56729i
\(218\) −5.34068 9.25033i −0.361717 0.626511i
\(219\) 1.11407 + 2.26782i 0.0752820 + 0.153245i
\(220\) −3.71405 −0.250401
\(221\) 7.51287 0.505370
\(222\) −2.64084 + 3.93928i −0.177241 + 0.264387i
\(223\) −3.74932 6.49401i −0.251073 0.434871i 0.712748 0.701420i \(-0.247450\pi\)
−0.963822 + 0.266548i \(0.914117\pi\)
\(224\) −1.23855 + 2.33795i −0.0827541 + 0.156211i
\(225\) −1.83353 + 2.37448i −0.122235 + 0.158299i
\(226\) −3.45901 + 5.99118i −0.230090 + 0.398528i
\(227\) −4.63500 + 8.02806i −0.307636 + 0.532841i −0.977845 0.209332i \(-0.932871\pi\)
0.670209 + 0.742173i \(0.266205\pi\)
\(228\) −2.44609 + 3.64877i −0.161996 + 0.241646i
\(229\) −9.57481 16.5841i −0.632721 1.09591i −0.986993 0.160763i \(-0.948604\pi\)
0.354272 0.935143i \(-0.384729\pi\)
\(230\) 1.21303 2.10103i 0.0799848 0.138538i
\(231\) −8.05582 14.9927i −0.530034 0.986448i
\(232\) 5.04131 + 8.73180i 0.330978 + 0.573271i
\(233\) −2.23261 + 3.86699i −0.146263 + 0.253335i −0.929843 0.367955i \(-0.880058\pi\)
0.783580 + 0.621290i \(0.213391\pi\)
\(234\) 4.65020 6.02215i 0.303993 0.393680i
\(235\) 0.347869 + 0.602527i 0.0226925 + 0.0393045i
\(236\) 12.2301 0.796111
\(237\) 3.93928 + 0.264226i 0.255884 + 0.0171633i
\(238\) 7.83220 0.285436i 0.507686 0.0185021i
\(239\) −1.17657 + 2.03788i −0.0761059 + 0.131819i −0.901567 0.432640i \(-0.857582\pi\)
0.825461 + 0.564460i \(0.190915\pi\)
\(240\) −0.763698 1.55460i −0.0492965 0.100349i
\(241\) 1.41479 2.45049i 0.0911346 0.157850i −0.816854 0.576844i \(-0.804284\pi\)
0.907989 + 0.418994i \(0.137617\pi\)
\(242\) 1.39709 + 2.41983i 0.0898084 + 0.155553i
\(243\) 14.7226 + 5.12311i 0.944453 + 0.328647i
\(244\) 12.5327 0.802327
\(245\) −3.04944 + 6.30087i −0.194822 + 0.402548i
\(246\) 10.6235 15.8469i 0.677332 1.01036i
\(247\) −3.21615 5.57053i −0.204639 0.354444i
\(248\) −9.87519 −0.627075
\(249\) −8.24122 16.7760i −0.522266 1.06313i
\(250\) −1.00000 −0.0632456
\(251\) 25.2659 1.59477 0.797384 0.603472i \(-0.206217\pi\)
0.797384 + 0.603472i \(0.206217\pi\)
\(252\) 4.61905 6.45479i 0.290973 0.406614i
\(253\) −9.01051 −0.566486
\(254\) 16.7729 1.05242
\(255\) −2.85701 + 4.26174i −0.178913 + 0.266880i
\(256\) 1.00000 0.0625000
\(257\) 9.27094 + 16.0577i 0.578305 + 1.00165i 0.995674 + 0.0929169i \(0.0296191\pi\)
−0.417369 + 0.908737i \(0.637048\pi\)
\(258\) −2.52346 5.13679i −0.157104 0.319803i
\(259\) −3.84829 6.13775i −0.239121 0.381381i
\(260\) 2.53620 0.157288
\(261\) −11.4901 27.9805i −0.711219 1.73195i
\(262\) −8.02229 13.8950i −0.495619 0.858437i
\(263\) 0.380539 0.659113i 0.0234651 0.0406427i −0.854054 0.520184i \(-0.825863\pi\)
0.877519 + 0.479541i \(0.159197\pi\)
\(264\) −3.58209 + 5.34333i −0.220463 + 0.328859i
\(265\) 4.25802 7.37510i 0.261568 0.453049i
\(266\) −3.56449 5.68511i −0.218553 0.348577i
\(267\) −14.4781 + 21.5967i −0.886045 + 1.32169i
\(268\) −10.3227 −0.630561
\(269\) 4.08137 + 7.06914i 0.248846 + 0.431013i 0.963206 0.268765i \(-0.0866155\pi\)
−0.714360 + 0.699778i \(0.753282\pi\)
\(270\) 1.64773 + 4.92798i 0.100278 + 0.299907i
\(271\) 4.35725 7.54697i 0.264684 0.458446i −0.702797 0.711391i \(-0.748066\pi\)
0.967481 + 0.252945i \(0.0813990\pi\)
\(272\) −1.48113 2.56539i −0.0898066 0.155550i
\(273\) 5.50104 + 10.2380i 0.332938 + 0.619632i
\(274\) 4.24243 7.34811i 0.256295 0.443916i
\(275\) 1.85703 + 3.21646i 0.111983 + 0.193960i
\(276\) −1.85278 3.77154i −0.111524 0.227020i
\(277\) 7.60976 13.1805i 0.457226 0.791939i −0.541587 0.840645i \(-0.682176\pi\)
0.998813 + 0.0487056i \(0.0155096\pi\)
\(278\) 1.67921 2.90848i 0.100713 0.174439i
\(279\) 29.3602 + 3.95644i 1.75775 + 0.236866i
\(280\) 2.64400 0.0963576i 0.158009 0.00575847i
\(281\) −3.84654 6.66240i −0.229465 0.397445i 0.728185 0.685381i \(-0.240364\pi\)
−0.957650 + 0.287936i \(0.907031\pi\)
\(282\) 1.20235 + 0.0806472i 0.0715991 + 0.00480247i
\(283\) 22.5464 1.34025 0.670123 0.742250i \(-0.266241\pi\)
0.670123 + 0.742250i \(0.266241\pi\)
\(284\) 2.43471 0.144474
\(285\) 4.38297 + 0.293986i 0.259625 + 0.0174142i
\(286\) −4.70978 8.15759i −0.278495 0.482368i
\(287\) 15.4808 + 24.6909i 0.913805 + 1.45746i
\(288\) −2.97313 0.400645i −0.175193 0.0236082i
\(289\) 4.11252 7.12309i 0.241913 0.419005i
\(290\) 5.04131 8.73180i 0.296036 0.512749i
\(291\) 0.0755178 + 0.153725i 0.00442693 + 0.00901154i
\(292\) 0.729393 + 1.26335i 0.0426845 + 0.0739317i
\(293\) 6.30276 10.9167i 0.368211 0.637760i −0.621075 0.783751i \(-0.713304\pi\)
0.989286 + 0.145991i \(0.0466371\pi\)
\(294\) 6.12383 + 10.4642i 0.357149 + 0.610282i
\(295\) −6.11504 10.5916i −0.356032 0.616665i
\(296\) −1.36906 + 2.37128i −0.0795751 + 0.137828i
\(297\) 12.7908 14.4512i 0.742197 0.838546i
\(298\) 5.84456 + 10.1231i 0.338566 + 0.586414i
\(299\) 6.15297 0.355835
\(300\) −0.964470 + 1.43868i −0.0556837 + 0.0830622i
\(301\) 8.73645 0.318391i 0.503561 0.0183517i
\(302\) 8.69754 15.0646i 0.500487 0.866870i
\(303\) 10.2126 15.2339i 0.586698 0.875164i
\(304\) −1.26810 + 2.19641i −0.0727304 + 0.125973i
\(305\) −6.26637 10.8537i −0.358811 0.621480i
\(306\) 3.37577 + 8.22064i 0.192980 + 0.469942i
\(307\) 11.1144 0.634331 0.317165 0.948370i \(-0.397269\pi\)
0.317165 + 0.948370i \(0.397269\pi\)
\(308\) −5.21990 8.32538i −0.297431 0.474382i
\(309\) −4.29007 8.73294i −0.244054 0.496800i
\(310\) 4.93760 + 8.55217i 0.280437 + 0.485731i
\(311\) −24.3681 −1.38179 −0.690893 0.722957i \(-0.742782\pi\)
−0.690893 + 0.722957i \(0.742782\pi\)
\(312\) 2.44609 3.64877i 0.138482 0.206571i
\(313\) 29.2538 1.65352 0.826761 0.562553i \(-0.190181\pi\)
0.826761 + 0.562553i \(0.190181\pi\)
\(314\) 5.10624 0.288162
\(315\) −7.89954 0.772820i −0.445089 0.0435434i
\(316\) 2.27946 0.128229
\(317\) −9.16527 −0.514773 −0.257386 0.966309i \(-0.582861\pi\)
−0.257386 + 0.966309i \(0.582861\pi\)
\(318\) −6.50368 13.2390i −0.364708 0.742405i
\(319\) −37.4474 −2.09665
\(320\) −0.500000 0.866025i −0.0279508 0.0484123i
\(321\) −15.3449 + 22.8897i −0.856470 + 1.27758i
\(322\) 6.41449 0.233769i 0.357466 0.0130275i
\(323\) 7.51287 0.418027
\(324\) 8.67897 + 2.38233i 0.482165 + 0.132352i
\(325\) −1.26810 2.19641i −0.0703415 0.121835i
\(326\) 4.57141 7.91792i 0.253187 0.438533i
\(327\) 8.15733 + 16.6052i 0.451101 + 0.918269i
\(328\) 5.50745 9.53918i 0.304098 0.526713i
\(329\) −0.861707 + 1.62660i −0.0475074 + 0.0896773i
\(330\) 6.41850 + 0.430518i 0.353327 + 0.0236992i
\(331\) −31.8638 −1.75139 −0.875696 0.482862i \(-0.839597\pi\)
−0.875696 + 0.482862i \(0.839597\pi\)
\(332\) −5.39560 9.34546i −0.296122 0.512899i
\(333\) 5.02044 6.50162i 0.275118 0.356287i
\(334\) 10.9734 19.0065i 0.600440 1.03999i
\(335\) 5.16136 + 8.93974i 0.281995 + 0.488430i
\(336\) 2.41143 3.89680i 0.131554 0.212588i
\(337\) 6.25621 10.8361i 0.340797 0.590278i −0.643784 0.765208i \(-0.722636\pi\)
0.984581 + 0.174929i \(0.0559697\pi\)
\(338\) −3.28385 5.68780i −0.178618 0.309375i
\(339\) 6.67223 9.95281i 0.362386 0.540563i
\(340\) −1.48113 + 2.56539i −0.0803255 + 0.139128i
\(341\) 18.3385 31.7632i 0.993085 1.72007i
\(342\) 4.65020 6.02215i 0.251454 0.325641i
\(343\) −18.4098 + 2.01993i −0.994035 + 0.109066i
\(344\) −1.65213 2.86157i −0.0890769 0.154286i
\(345\) −2.33986 + 3.49032i −0.125974 + 0.187913i
\(346\) −1.26648 −0.0680865
\(347\) −16.7011 −0.896560 −0.448280 0.893893i \(-0.647963\pi\)
−0.448280 + 0.893893i \(0.647963\pi\)
\(348\) −7.70007 15.6744i −0.412767 0.840235i
\(349\) 0.378874 + 0.656229i 0.0202807 + 0.0351271i 0.875988 0.482334i \(-0.160211\pi\)
−0.855707 + 0.517461i \(0.826877\pi\)
\(350\) −1.40545 2.24159i −0.0751243 0.119818i
\(351\) −8.73439 + 9.86826i −0.466207 + 0.526729i
\(352\) −1.85703 + 3.21646i −0.0989798 + 0.171438i
\(353\) 4.66708 8.08361i 0.248403 0.430247i −0.714680 0.699452i \(-0.753427\pi\)
0.963083 + 0.269205i \(0.0867608\pi\)
\(354\) −21.1356 1.41766i −1.12335 0.0753479i
\(355\) −1.21736 2.10852i −0.0646106 0.111909i
\(356\) −7.50572 + 13.0003i −0.397803 + 0.689014i
\(357\) −13.5684 0.414596i −0.718118 0.0219427i
\(358\) −2.20490 3.81899i −0.116532 0.201840i
\(359\) 5.81797 10.0770i 0.307061 0.531845i −0.670657 0.741768i \(-0.733988\pi\)
0.977718 + 0.209922i \(0.0673211\pi\)
\(360\) 1.13960 + 2.77513i 0.0600619 + 0.146262i
\(361\) 6.28385 + 10.8840i 0.330729 + 0.572839i
\(362\) 5.47131 0.287565
\(363\) −2.13391 4.34382i −0.112001 0.227991i
\(364\) 3.56449 + 5.68511i 0.186830 + 0.297981i
\(365\) 0.729393 1.26335i 0.0381782 0.0661266i
\(366\) −21.6587 1.45275i −1.13212 0.0759363i
\(367\) −0.297341 + 0.515009i −0.0155211 + 0.0268832i −0.873682 0.486498i \(-0.838274\pi\)
0.858161 + 0.513381i \(0.171607\pi\)
\(368\) −1.21303 2.10103i −0.0632335 0.109524i
\(369\) −20.1962 + 26.1547i −1.05137 + 1.36156i
\(370\) 2.73812 0.142348
\(371\) 22.5164 0.820585i 1.16899 0.0426026i
\(372\) 17.0660 + 1.14469i 0.884830 + 0.0593496i
\(373\) −2.11272 3.65934i −0.109393 0.189474i 0.806132 0.591736i \(-0.201557\pi\)
−0.915524 + 0.402263i \(0.868224\pi\)
\(374\) 11.0020 0.568899
\(375\) 1.72817 + 0.115916i 0.0892422 + 0.00598588i
\(376\) 0.695738 0.0358800
\(377\) 25.5715 1.31700
\(378\) −8.73071 + 10.6195i −0.449059 + 0.546210i
\(379\) −27.7458 −1.42521 −0.712603 0.701567i \(-0.752484\pi\)
−0.712603 + 0.701567i \(0.752484\pi\)
\(380\) 2.53620 0.130104
\(381\) −28.9863 1.94424i −1.48501 0.0996066i
\(382\) −8.34357 −0.426894
\(383\) 14.8026 + 25.6388i 0.756376 + 1.31008i 0.944687 + 0.327973i \(0.106365\pi\)
−0.188311 + 0.982109i \(0.560301\pi\)
\(384\) −1.72817 0.115916i −0.0881902 0.00591531i
\(385\) −4.60004 + 8.68325i −0.234440 + 0.442540i
\(386\) 20.5384 1.04538
\(387\) 3.76552 + 9.16974i 0.191412 + 0.466124i
\(388\) 0.0494422 + 0.0856364i 0.00251005 + 0.00434753i
\(389\) 14.3708 24.8910i 0.728629 1.26202i −0.228834 0.973466i \(-0.573491\pi\)
0.957463 0.288557i \(-0.0931755\pi\)
\(390\) −4.38297 0.293986i −0.221941 0.0148866i
\(391\) −3.59331 + 6.22379i −0.181721 + 0.314751i
\(392\) 3.93199 + 5.79133i 0.198595 + 0.292506i
\(393\) 12.2532 + 24.9428i 0.618093 + 1.25820i
\(394\) −7.91528 −0.398766
\(395\) −1.13973 1.97407i −0.0573460 0.0993261i
\(396\) 6.80983 8.81895i 0.342207 0.443169i
\(397\) 17.1373 29.6827i 0.860097 1.48973i −0.0117378 0.999931i \(-0.503736\pi\)
0.871835 0.489800i \(-0.162930\pi\)
\(398\) −1.32856 2.30113i −0.0665946 0.115345i
\(399\) 5.50104 + 10.2380i 0.275396 + 0.512541i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) 5.35942 + 9.28278i 0.267637 + 0.463560i 0.968251 0.249980i \(-0.0804240\pi\)
−0.700614 + 0.713540i \(0.747091\pi\)
\(402\) 17.8394 + 1.19657i 0.889749 + 0.0596795i
\(403\) −12.5227 + 21.6900i −0.623801 + 1.08046i
\(404\) 5.29440 9.17017i 0.263406 0.456233i
\(405\) −2.27632 8.70737i −0.113111 0.432673i
\(406\) 26.6584 0.971536i 1.32303 0.0482165i
\(407\) −5.08477 8.80707i −0.252043 0.436550i
\(408\) 2.26227 + 4.60511i 0.111999 + 0.227987i
\(409\) 27.2083 1.34537 0.672683 0.739931i \(-0.265142\pi\)
0.672683 + 0.739931i \(0.265142\pi\)
\(410\) −11.0149 −0.543987
\(411\) −8.18340 + 12.2070i −0.403657 + 0.602127i
\(412\) −2.80875 4.86490i −0.138377 0.239676i
\(413\) 15.1476 28.5933i 0.745363 1.40698i
\(414\) 2.76473 + 6.73262i 0.135879 + 0.330890i
\(415\) −5.39560 + 9.34546i −0.264860 + 0.458751i
\(416\) 1.26810 2.19641i 0.0621737 0.107688i
\(417\) −3.23910 + 4.83170i −0.158619 + 0.236609i
\(418\) −4.70978 8.15759i −0.230363 0.399001i
\(419\) −10.5111 + 18.2058i −0.513502 + 0.889411i 0.486376 + 0.873750i \(0.338319\pi\)
−0.999877 + 0.0156611i \(0.995015\pi\)
\(420\) −4.58044 0.139959i −0.223502 0.00682932i
\(421\) 6.73036 + 11.6573i 0.328017 + 0.568143i 0.982118 0.188264i \(-0.0602862\pi\)
−0.654101 + 0.756407i \(0.726953\pi\)
\(422\) 2.51110 4.34936i 0.122239 0.211723i
\(423\) −2.06852 0.278744i −0.100575 0.0135530i
\(424\) −4.25802 7.37510i −0.206788 0.358167i
\(425\) 2.96226 0.143691
\(426\) −4.20759 0.282222i −0.203859 0.0136737i
\(427\) 15.5224 29.3009i 0.751183 1.41797i
\(428\) −7.95511 + 13.7787i −0.384525 + 0.666016i
\(429\) 7.19370 + 14.6436i 0.347315 + 0.707000i
\(430\) −1.65213 + 2.86157i −0.0796728 + 0.137997i
\(431\) −2.84972 4.93585i −0.137266 0.237752i 0.789195 0.614143i \(-0.210498\pi\)
−0.926461 + 0.376391i \(0.877165\pi\)
\(432\) 5.09162 + 1.03701i 0.244971 + 0.0498934i
\(433\) −17.7157 −0.851363 −0.425682 0.904873i \(-0.639966\pi\)
−0.425682 + 0.904873i \(0.639966\pi\)
\(434\) −12.2309 + 23.0877i −0.587103 + 1.10824i
\(435\) −9.72438 + 14.5056i −0.466248 + 0.695493i
\(436\) 5.34068 + 9.25033i 0.255772 + 0.443010i
\(437\) 6.15297 0.294336
\(438\) −1.11407 2.26782i −0.0532324 0.108361i
\(439\) −5.39022 −0.257261 −0.128631 0.991693i \(-0.541058\pi\)
−0.128631 + 0.991693i \(0.541058\pi\)
\(440\) 3.71405 0.177060
\(441\) −9.37004 18.7937i −0.446192 0.894937i
\(442\) −7.51287 −0.357351
\(443\) 11.6840 0.555122 0.277561 0.960708i \(-0.410474\pi\)
0.277561 + 0.960708i \(0.410474\pi\)
\(444\) 2.64084 3.93928i 0.125329 0.186950i
\(445\) 15.0114 0.711611
\(446\) 3.74932 + 6.49401i 0.177535 + 0.307501i
\(447\) −8.92696 18.1719i −0.422231 0.859499i
\(448\) 1.23855 2.33795i 0.0585160 0.110458i
\(449\) −23.4124 −1.10490 −0.552450 0.833546i \(-0.686307\pi\)
−0.552450 + 0.833546i \(0.686307\pi\)
\(450\) 1.83353 2.37448i 0.0864335 0.111934i
\(451\) 20.4550 + 35.4290i 0.963186 + 1.66829i
\(452\) 3.45901 5.99118i 0.162698 0.281802i
\(453\) −16.7770 + 25.0259i −0.788254 + 1.17582i
\(454\) 4.63500 8.02806i 0.217531 0.376775i
\(455\) 3.14121 5.92949i 0.147262 0.277979i
\(456\) 2.44609 3.64877i 0.114548 0.170869i
\(457\) −8.99567 −0.420800 −0.210400 0.977615i \(-0.567477\pi\)
−0.210400 + 0.977615i \(0.567477\pi\)
\(458\) 9.57481 + 16.5841i 0.447402 + 0.774922i
\(459\) −4.88100 14.5979i −0.227826 0.681374i
\(460\) −1.21303 + 2.10103i −0.0565578 + 0.0979610i
\(461\) 2.25201 + 3.90059i 0.104887 + 0.181669i 0.913692 0.406408i \(-0.133219\pi\)
−0.808805 + 0.588076i \(0.799885\pi\)
\(462\) 8.05582 + 14.9927i 0.374791 + 0.697524i
\(463\) 15.6097 27.0367i 0.725442 1.25650i −0.233350 0.972393i \(-0.574969\pi\)
0.958792 0.284110i \(-0.0916980\pi\)
\(464\) −5.04131 8.73180i −0.234037 0.405364i
\(465\) −7.54166 15.3519i −0.349736 0.711929i
\(466\) 2.23261 3.86699i 0.103424 0.179135i
\(467\) −9.65889 + 16.7297i −0.446960 + 0.774158i −0.998186 0.0601981i \(-0.980827\pi\)
0.551226 + 0.834356i \(0.314160\pi\)
\(468\) −4.65020 + 6.02215i −0.214956 + 0.278374i
\(469\) −12.7852 + 24.1340i −0.590366 + 1.11440i
\(470\) −0.347869 0.602527i −0.0160460 0.0277925i
\(471\) −8.82445 0.591896i −0.406609 0.0272731i
\(472\) −12.2301 −0.562935
\(473\) 12.2722 0.564276
\(474\) −3.93928 0.264226i −0.180937 0.0121363i
\(475\) −1.26810 2.19641i −0.0581844 0.100778i
\(476\) −7.83220 + 0.285436i −0.358988 + 0.0130829i
\(477\) 9.70483 + 23.6331i 0.444354 + 1.08208i
\(478\) 1.17657 2.03788i 0.0538150 0.0932104i
\(479\) −10.6993 + 18.5318i −0.488865 + 0.846738i −0.999918 0.0128107i \(-0.995922\pi\)
0.511053 + 0.859549i \(0.329255\pi\)
\(480\) 0.763698 + 1.55460i 0.0348579 + 0.0709572i
\(481\) 3.47221 + 6.01405i 0.158319 + 0.274217i
\(482\) −1.41479 + 2.45049i −0.0644419 + 0.111617i
\(483\) −11.1124 0.339550i −0.505632 0.0154501i
\(484\) −1.39709 2.41983i −0.0635041 0.109992i
\(485\) 0.0494422 0.0856364i 0.00224506 0.00388855i
\(486\) −14.7226 5.12311i −0.667829 0.232389i
\(487\) −18.9039 32.7426i −0.856618 1.48371i −0.875135 0.483878i \(-0.839228\pi\)
0.0185169 0.999829i \(-0.494106\pi\)
\(488\) −12.5327 −0.567331
\(489\) −8.81798 + 13.1536i −0.398763 + 0.594826i
\(490\) 3.04944 6.30087i 0.137760 0.284644i
\(491\) −0.607232 + 1.05176i −0.0274040 + 0.0474651i −0.879402 0.476080i \(-0.842057\pi\)
0.851998 + 0.523545i \(0.175391\pi\)
\(492\) −10.6235 + 15.8469i −0.478946 + 0.714434i
\(493\) −14.9336 + 25.8658i −0.672578 + 1.16494i
\(494\) 3.21615 + 5.57053i 0.144701 + 0.250630i
\(495\) −11.0423 1.48801i −0.496317 0.0668813i
\(496\) 9.87519 0.443409
\(497\) 3.01552 5.69223i 0.135264 0.255332i
\(498\) 8.24122 + 16.7760i 0.369298 + 0.751749i
\(499\) −13.7499 23.8155i −0.615529 1.06613i −0.990291 0.139007i \(-0.955609\pi\)
0.374762 0.927121i \(-0.377724\pi\)
\(500\) 1.00000 0.0447214
\(501\) −21.1671 + 31.5745i −0.945676 + 1.41064i
\(502\) −25.2659 −1.12767
\(503\) −10.9548 −0.488450 −0.244225 0.969719i \(-0.578534\pi\)
−0.244225 + 0.969719i \(0.578534\pi\)
\(504\) −4.61905 + 6.45479i −0.205749 + 0.287519i
\(505\) −10.5888 −0.471196
\(506\) 9.01051 0.400566
\(507\) 5.01574 + 10.2101i 0.222757 + 0.453447i
\(508\) −16.7729 −0.744175
\(509\) −6.67082 11.5542i −0.295679 0.512131i 0.679464 0.733709i \(-0.262212\pi\)
−0.975143 + 0.221578i \(0.928879\pi\)
\(510\) 2.85701 4.26174i 0.126510 0.188713i
\(511\) 3.85703 0.140565i 0.170625 0.00621824i
\(512\) −1.00000 −0.0441942
\(513\) −8.73439 + 9.86826i −0.385633 + 0.435694i
\(514\) −9.27094 16.0577i −0.408924 0.708277i
\(515\) −2.80875 + 4.86490i −0.123768 + 0.214373i
\(516\) 2.52346 + 5.13679i 0.111089 + 0.226135i
\(517\) −1.29200 + 2.23782i −0.0568223 + 0.0984191i
\(518\) 3.84829 + 6.13775i 0.169084 + 0.269677i
\(519\) 2.18869 + 0.146806i 0.0960730 + 0.00644405i
\(520\) −2.53620 −0.111220
\(521\) −3.49625 6.05568i −0.153173 0.265304i 0.779219 0.626752i \(-0.215616\pi\)
−0.932392 + 0.361448i \(0.882283\pi\)
\(522\) 11.4901 + 27.9805i 0.502908 + 1.22467i
\(523\) 18.4547 31.9645i 0.806968 1.39771i −0.107987 0.994152i \(-0.534440\pi\)
0.914955 0.403557i \(-0.132226\pi\)
\(524\) 8.02229 + 13.8950i 0.350455 + 0.607007i
\(525\) 2.16901 + 4.03676i 0.0946634 + 0.176178i
\(526\) −0.380539 + 0.659113i −0.0165923 + 0.0287387i
\(527\) −14.6264 25.3337i −0.637137 1.10355i
\(528\) 3.58209 5.34333i 0.155891 0.232539i
\(529\) 8.55712 14.8214i 0.372049 0.644407i
\(530\) −4.25802 + 7.37510i −0.184956 + 0.320354i
\(531\) 36.3616 + 4.89992i 1.57796 + 0.212638i
\(532\) 3.56449 + 5.68511i 0.154540 + 0.246481i
\(533\) −13.9680 24.1932i −0.605020 1.04793i
\(534\) 14.4781 21.5967i 0.626528 0.934579i
\(535\) 15.9102 0.687859
\(536\) 10.3227 0.445874
\(537\) 3.36775 + 6.85544i 0.145329 + 0.295834i
\(538\) −4.08137 7.06914i −0.175960 0.304772i
\(539\) −25.9294 + 1.89245i −1.11686 + 0.0815136i
\(540\) −1.64773 4.92798i −0.0709070 0.212066i
\(541\) 3.52168 6.09973i 0.151409 0.262248i −0.780337 0.625359i \(-0.784952\pi\)
0.931746 + 0.363112i \(0.118286\pi\)
\(542\) −4.35725 + 7.54697i −0.187160 + 0.324170i
\(543\) −9.45533 0.634212i −0.405767 0.0272166i
\(544\) 1.48113 + 2.56539i 0.0635029 + 0.109990i
\(545\) 5.34068 9.25033i 0.228770 0.396241i
\(546\) −5.50104 10.2380i −0.235423 0.438146i
\(547\) 1.72161 + 2.98191i 0.0736106 + 0.127497i 0.900481 0.434895i \(-0.143214\pi\)
−0.826871 + 0.562392i \(0.809881\pi\)
\(548\) −4.24243 + 7.34811i −0.181228 + 0.313896i
\(549\) 37.2614 + 5.02118i 1.59028 + 0.214299i
\(550\) −1.85703 3.21646i −0.0791838 0.137150i
\(551\) 25.5715 1.08938
\(552\) 1.85278 + 3.77154i 0.0788594 + 0.160527i
\(553\) 2.82322 5.32925i 0.120056 0.226623i
\(554\) −7.60976 + 13.1805i −0.323308 + 0.559986i
\(555\) −4.73194 0.317392i −0.200860 0.0134726i
\(556\) −1.67921 + 2.90848i −0.0712145 + 0.123347i
\(557\) 22.2943 + 38.6148i 0.944638 + 1.63616i 0.756475 + 0.654023i \(0.226920\pi\)
0.188163 + 0.982138i \(0.439747\pi\)
\(558\) −29.3602 3.95644i −1.24292 0.167490i
\(559\) −8.38026 −0.354447
\(560\) −2.64400 + 0.0963576i −0.111729 + 0.00407185i
\(561\) −19.0133 1.27531i −0.802740 0.0538434i
\(562\) 3.84654 + 6.66240i 0.162256 + 0.281036i
\(563\) 11.4941 0.484419 0.242210 0.970224i \(-0.422128\pi\)
0.242210 + 0.970224i \(0.422128\pi\)
\(564\) −1.20235 0.0806472i −0.0506282 0.00339586i
\(565\) −6.91802 −0.291043
\(566\) −22.5464 −0.947697
\(567\) 16.3191 17.3403i 0.685338 0.728225i
\(568\) −2.43471 −0.102158
\(569\) −26.5591 −1.11341 −0.556707 0.830709i \(-0.687936\pi\)
−0.556707 + 0.830709i \(0.687936\pi\)
\(570\) −4.38297 0.293986i −0.183583 0.0123137i
\(571\) 30.1135 1.26021 0.630106 0.776509i \(-0.283011\pi\)
0.630106 + 0.776509i \(0.283011\pi\)
\(572\) 4.70978 + 8.15759i 0.196926 + 0.341086i
\(573\) 14.4191 + 0.967153i 0.602366 + 0.0404034i
\(574\) −15.4808 24.6909i −0.646158 1.03058i
\(575\) 2.42606 0.101174
\(576\) 2.97313 + 0.400645i 0.123880 + 0.0166935i
\(577\) 23.3251 + 40.4003i 0.971037 + 1.68189i 0.692437 + 0.721479i \(0.256537\pi\)
0.278600 + 0.960407i \(0.410130\pi\)
\(578\) −4.11252 + 7.12309i −0.171058 + 0.296281i
\(579\) −35.4938 2.38073i −1.47507 0.0989399i
\(580\) −5.04131 + 8.73180i −0.209329 + 0.362568i
\(581\) −28.5319 + 1.03981i −1.18370 + 0.0431388i
\(582\) −0.0755178 0.153725i −0.00313031 0.00637212i
\(583\) 31.6290 1.30994
\(584\) −0.729393 1.26335i −0.0301825 0.0522776i
\(585\) 7.54044 + 1.01611i 0.311759 + 0.0420111i
\(586\) −6.30276 + 10.9167i −0.260365 + 0.450965i
\(587\) 7.68787 + 13.3158i 0.317312 + 0.549601i 0.979926 0.199360i \(-0.0638863\pi\)
−0.662614 + 0.748961i \(0.730553\pi\)
\(588\) −6.12383 10.4642i −0.252542 0.431535i
\(589\) −12.5227 + 21.6900i −0.515990 + 0.893720i
\(590\) 6.11504 + 10.5916i 0.251752 + 0.436048i
\(591\) 13.6789 + 0.917508i 0.562676 + 0.0377412i
\(592\) 1.36906 2.37128i 0.0562681 0.0974592i
\(593\) 5.21537 9.03328i 0.214170 0.370952i −0.738846 0.673875i \(-0.764629\pi\)
0.953015 + 0.302922i \(0.0979622\pi\)
\(594\) −12.7908 + 14.4512i −0.524812 + 0.592942i
\(595\) 4.16329 + 6.64016i 0.170678 + 0.272220i
\(596\) −5.84456 10.1231i −0.239403 0.414658i
\(597\) 2.02923 + 4.13074i 0.0830510 + 0.169060i
\(598\) −6.15297 −0.251613
\(599\) 28.0067 1.14432 0.572161 0.820142i \(-0.306105\pi\)
0.572161 + 0.820142i \(0.306105\pi\)
\(600\) 0.964470 1.43868i 0.0393743 0.0587338i
\(601\) −21.4358 37.1280i −0.874386 1.51448i −0.857415 0.514625i \(-0.827931\pi\)
−0.0169711 0.999856i \(-0.505402\pi\)
\(602\) −8.73645 + 0.318391i −0.356071 + 0.0129766i
\(603\) −30.6908 4.13575i −1.24983 0.168421i
\(604\) −8.69754 + 15.0646i −0.353898 + 0.612969i
\(605\) −1.39709 + 2.41983i −0.0567998 + 0.0983801i
\(606\) −10.2126 + 15.2339i −0.414858 + 0.618834i
\(607\) 3.76587 + 6.52268i 0.152852 + 0.264747i 0.932275 0.361751i \(-0.117821\pi\)
−0.779423 + 0.626498i \(0.784488\pi\)
\(608\) 1.26810 2.19641i 0.0514282 0.0890762i
\(609\) −46.1828 1.41116i −1.87142 0.0571830i
\(610\) 6.26637 + 10.8537i 0.253718 + 0.439453i
\(611\) 0.882265 1.52813i 0.0356926 0.0618214i
\(612\) −3.37577 8.22064i −0.136458 0.332299i
\(613\) 7.96337 + 13.7930i 0.321638 + 0.557093i 0.980826 0.194885i \(-0.0624334\pi\)
−0.659188 + 0.751978i \(0.729100\pi\)
\(614\) −11.1144 −0.448539
\(615\) 19.0356 + 1.27680i 0.767589 + 0.0514857i
\(616\) 5.21990 + 8.32538i 0.210316 + 0.335439i
\(617\) 4.50891 7.80967i 0.181522 0.314405i −0.760877 0.648896i \(-0.775231\pi\)
0.942399 + 0.334491i \(0.108564\pi\)
\(618\) 4.29007 + 8.73294i 0.172572 + 0.351290i
\(619\) −6.24427 + 10.8154i −0.250978 + 0.434707i −0.963795 0.266643i \(-0.914086\pi\)
0.712817 + 0.701350i \(0.247419\pi\)
\(620\) −4.93760 8.55217i −0.198299 0.343463i
\(621\) −3.99749 11.9556i −0.160414 0.479761i
\(622\) 24.3681 0.977070
\(623\) 21.0978 + 33.6495i 0.845265 + 1.34814i
\(624\) −2.44609 + 3.64877i −0.0979218 + 0.146068i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −29.2538 −1.16922
\(627\) 7.19370 + 14.6436i 0.287289 + 0.584810i
\(628\) −5.10624 −0.203761
\(629\) −8.11103 −0.323408
\(630\) 7.89954 + 0.772820i 0.314725 + 0.0307899i
\(631\) −4.67653 −0.186170 −0.0930849 0.995658i \(-0.529673\pi\)
−0.0930849 + 0.995658i \(0.529673\pi\)
\(632\) −2.27946 −0.0906719
\(633\) −4.84377 + 7.22534i −0.192522 + 0.287182i
\(634\) 9.16527 0.363999
\(635\) 8.38643 + 14.5257i 0.332805 + 0.576436i
\(636\) 6.50368 + 13.2390i 0.257887 + 0.524960i
\(637\) 17.7063 1.29229i 0.701549 0.0512024i
\(638\) 37.4474 1.48255
\(639\) 7.23872 + 0.975455i 0.286359 + 0.0385884i
\(640\) 0.500000 + 0.866025i 0.0197642 + 0.0342327i
\(641\) 17.2546 29.8859i 0.681518 1.18042i −0.293000 0.956112i \(-0.594654\pi\)
0.974518 0.224311i \(-0.0720131\pi\)
\(642\) 15.3449 22.8897i 0.605616 0.903384i
\(643\) −6.13601 + 10.6279i −0.241980 + 0.419122i −0.961278 0.275579i \(-0.911130\pi\)
0.719298 + 0.694702i \(0.244464\pi\)
\(644\) −6.41449 + 0.233769i −0.252766 + 0.00921180i
\(645\) 3.18686 4.75377i 0.125483 0.187180i
\(646\) −7.51287 −0.295590
\(647\) −10.0097 17.3372i −0.393520 0.681597i 0.599391 0.800457i \(-0.295410\pi\)
−0.992911 + 0.118859i \(0.962076\pi\)
\(648\) −8.67897 2.38233i −0.340942 0.0935869i
\(649\) 22.7116 39.3376i 0.891508 1.54414i
\(650\) 1.26810 + 2.19641i 0.0497389 + 0.0861503i
\(651\) 23.8133 38.4816i 0.933317 1.50821i
\(652\) −4.57141 + 7.91792i −0.179030 + 0.310090i
\(653\) −16.0036 27.7191i −0.626271 1.08473i −0.988294 0.152564i \(-0.951247\pi\)
0.362023 0.932169i \(-0.382086\pi\)
\(654\) −8.15733 16.6052i −0.318977 0.649314i
\(655\) 8.02229 13.8950i 0.313457 0.542923i
\(656\) −5.50745 + 9.53918i −0.215030 + 0.372442i
\(657\) 1.66243 + 4.04832i 0.0648574 + 0.157940i
\(658\) 0.861707 1.62660i 0.0335928 0.0634114i
\(659\) −16.5079 28.5925i −0.643055 1.11380i −0.984747 0.173993i \(-0.944333\pi\)
0.341691 0.939812i \(-0.389000\pi\)
\(660\) −6.41850 0.430518i −0.249840 0.0167579i
\(661\) 12.1087 0.470973 0.235487 0.971878i \(-0.424332\pi\)
0.235487 + 0.971878i \(0.424332\pi\)
\(662\) 31.8638 1.23842
\(663\) 12.9835 + 0.870862i 0.504237 + 0.0338215i
\(664\) 5.39560 + 9.34546i 0.209390 + 0.362674i
\(665\) 3.14121 5.92949i 0.121811 0.229936i
\(666\) −5.02044 + 6.50162i −0.194538 + 0.251933i
\(667\) −12.2305 + 21.1839i −0.473567 + 0.820243i
\(668\) −10.9734 + 19.0065i −0.424575 + 0.735385i
\(669\) −5.72670 11.6574i −0.221407 0.450699i
\(670\) −5.16136 8.93974i −0.199401 0.345372i
\(671\) 23.2736 40.3111i 0.898469 1.55619i
\(672\) −2.41143 + 3.89680i −0.0930228 + 0.150322i
\(673\) 8.01111 + 13.8757i 0.308806 + 0.534867i 0.978101 0.208129i \(-0.0667374\pi\)
−0.669296 + 0.742996i \(0.733404\pi\)
\(674\) −6.25621 + 10.8361i −0.240980 + 0.417390i
\(675\) −3.44389 + 3.89097i −0.132555 + 0.149763i
\(676\) 3.28385 + 5.68780i 0.126302 + 0.218761i
\(677\) 0.179898 0.00691403 0.00345701 0.999994i \(-0.498900\pi\)
0.00345701 + 0.999994i \(0.498900\pi\)
\(678\) −6.67223 + 9.95281i −0.256245 + 0.382236i
\(679\) 0.261450 0.00952827i 0.0100335 0.000365661i
\(680\) 1.48113 2.56539i 0.0567987 0.0983782i
\(681\) −8.94064 + 13.3366i −0.342606 + 0.511058i
\(682\) −18.3385 + 31.7632i −0.702217 + 1.21628i
\(683\) 0.947905 + 1.64182i 0.0362706 + 0.0628225i 0.883591 0.468260i \(-0.155119\pi\)
−0.847320 + 0.531082i \(0.821786\pi\)
\(684\) −4.65020 + 6.02215i −0.177805 + 0.230263i
\(685\) 8.48487 0.324190
\(686\) 18.4098 2.01993i 0.702889 0.0771213i
\(687\) −14.6245 29.7699i −0.557960 1.13579i
\(688\) 1.65213 + 2.86157i 0.0629869 + 0.109097i
\(689\) −21.5983 −0.822831
\(690\) 2.33986 3.49032i 0.0890770 0.132874i
\(691\) −30.1079 −1.14536 −0.572679 0.819780i \(-0.694096\pi\)
−0.572679 + 0.819780i \(0.694096\pi\)
\(692\) 1.26648 0.0481445
\(693\) −12.1839 26.8437i −0.462828 1.01971i
\(694\) 16.7011 0.633963
\(695\) 3.35843 0.127392
\(696\) 7.70007 + 15.6744i 0.291870 + 0.594136i
\(697\) 32.6290 1.23591
\(698\) −0.378874 0.656229i −0.0143406 0.0248386i
\(699\) −4.30657 + 6.42401i −0.162889 + 0.242978i
\(700\) 1.40545 + 2.24159i 0.0531209 + 0.0847241i
\(701\) 6.91381 0.261131 0.130566 0.991440i \(-0.458321\pi\)
0.130566 + 0.991440i \(0.458321\pi\)
\(702\) 8.73439 9.86826i 0.329658 0.372453i
\(703\) 3.47221 + 6.01405i 0.130957 + 0.226824i
\(704\) 1.85703 3.21646i 0.0699893 0.121225i
\(705\) 0.531334 + 1.08159i 0.0200112 + 0.0407351i
\(706\) −4.66708 + 8.08361i −0.175648 + 0.304231i
\(707\) −14.8820 23.7357i −0.559695 0.892675i
\(708\) 21.1356 + 1.41766i 0.794326 + 0.0532790i
\(709\) 15.0601 0.565595 0.282797 0.959180i \(-0.408738\pi\)
0.282797 + 0.959180i \(0.408738\pi\)
\(710\) 1.21736 + 2.10852i 0.0456866 + 0.0791315i
\(711\) 6.77711 + 0.913252i 0.254162 + 0.0342496i
\(712\) 7.50572 13.0003i 0.281289 0.487207i
\(713\) −11.9789 20.7481i −0.448613 0.777021i
\(714\) 13.5684 + 0.414596i 0.507786 + 0.0155159i
\(715\) 4.70978 8.15759i 0.176136 0.305076i
\(716\) 2.20490 + 3.81899i 0.0824008 + 0.142722i
\(717\) −2.26953 + 3.38541i −0.0847572 + 0.126431i
\(718\) −5.81797 + 10.0770i −0.217125 + 0.376071i
\(719\) −9.07755 + 15.7228i −0.338535 + 0.586360i −0.984157 0.177297i \(-0.943265\pi\)
0.645622 + 0.763657i \(0.276598\pi\)
\(720\) −1.13960 2.77513i −0.0424702 0.103423i
\(721\) −14.8527 + 0.541289i −0.553142 + 0.0201587i
\(722\) −6.28385 10.8840i −0.233861 0.405059i
\(723\) 2.72904 4.07086i 0.101494 0.151397i
\(724\) −5.47131 −0.203339
\(725\) 10.0826 0.374459
\(726\) 2.13391 + 4.34382i 0.0791968 + 0.161214i
\(727\) −13.7267 23.7753i −0.509095 0.881778i −0.999945 0.0105335i \(-0.996647\pi\)
0.490850 0.871244i \(-0.336686\pi\)
\(728\) −3.56449 5.68511i −0.132109 0.210704i
\(729\) 24.8492 + 10.5602i 0.920341 + 0.391117i
\(730\) −0.729393 + 1.26335i −0.0269961 + 0.0467585i
\(731\) 4.89404 8.47672i 0.181012 0.313523i
\(732\) 21.6587 + 1.45275i 0.800528 + 0.0536950i
\(733\) −16.9658 29.3857i −0.626647 1.08538i −0.988220 0.153041i \(-0.951093\pi\)
0.361573 0.932344i \(-0.382240\pi\)
\(734\) 0.297341 0.515009i 0.0109750 0.0190093i
\(735\) −6.00032 + 10.5355i −0.221325 + 0.388607i
\(736\) 1.21303 + 2.10103i 0.0447129 + 0.0774450i
\(737\) −19.1696 + 33.2027i −0.706120 + 1.22304i
\(738\) 20.1962 26.1547i 0.743431 0.962767i
\(739\) −22.7074 39.3304i −0.835307 1.44679i −0.893780 0.448505i \(-0.851957\pi\)
0.0584735 0.998289i \(-0.481377\pi\)
\(740\) −2.73812 −0.100655
\(741\) −4.91233 9.99962i −0.180459 0.367345i
\(742\) −22.5164 + 0.820585i −0.826602 + 0.0301246i
\(743\) −16.0822 + 27.8552i −0.589999 + 1.02191i 0.404233 + 0.914656i \(0.367539\pi\)
−0.994232 + 0.107252i \(0.965795\pi\)
\(744\) −17.0660 1.14469i −0.625670 0.0419665i
\(745\) −5.84456 + 10.1231i −0.214128 + 0.370881i
\(746\) 2.11272 + 3.65934i 0.0773522 + 0.133978i
\(747\) −12.2976 29.9470i −0.449946 1.09570i
\(748\) −11.0020 −0.402272
\(749\) 22.3610 + 35.6642i 0.817052 + 1.30314i
\(750\) −1.72817 0.115916i −0.0631038 0.00423265i
\(751\) 22.4049 + 38.8064i 0.817566 + 1.41607i 0.907471 + 0.420115i \(0.138010\pi\)
−0.0899052 + 0.995950i \(0.528656\pi\)
\(752\) −0.695738 −0.0253710
\(753\) 43.6637 + 2.92872i 1.59119 + 0.106729i
\(754\) −25.5715 −0.931259
\(755\) 17.3951 0.633072
\(756\) 8.73071 10.6195i 0.317533 0.386229i
\(757\) 54.0481 1.96441 0.982206 0.187808i \(-0.0601383\pi\)
0.982206 + 0.187808i \(0.0601383\pi\)
\(758\) 27.7458 1.00777
\(759\) −15.5717 1.04446i −0.565216 0.0379116i
\(760\) −2.53620 −0.0919975
\(761\) −7.63810 13.2296i −0.276881 0.479572i 0.693727 0.720238i \(-0.255967\pi\)
−0.970608 + 0.240666i \(0.922634\pi\)
\(762\) 28.9863 + 1.94424i 1.05006 + 0.0704325i
\(763\) 28.2415 1.02923i 1.02241 0.0372606i
\(764\) 8.34357 0.301860
\(765\) −5.43139 + 7.03382i −0.196372 + 0.254308i
\(766\) −14.8026 25.6388i −0.534839 0.926368i
\(767\) −15.5090 + 26.8623i −0.559996 + 0.969941i
\(768\) 1.72817 + 0.115916i 0.0623599 + 0.00418276i
\(769\) −13.7320 + 23.7844i −0.495187 + 0.857689i −0.999985 0.00554869i \(-0.998234\pi\)
0.504798 + 0.863238i \(0.331567\pi\)
\(770\) 4.60004 8.68325i 0.165774 0.312923i
\(771\) 14.1604 + 28.8251i 0.509974 + 1.03811i
\(772\) −20.5384