Properties

Label 273.2.cg.a.19.2
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.2
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.a.115.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.53002 - 0.409967i) q^{2} -1.00000i q^{3} +(0.440828 + 0.254512i) q^{4} +(-3.63307 + 0.973479i) q^{5} +(-0.409967 + 1.53002i) q^{6} +(-1.31124 - 2.29797i) q^{7} +(1.66997 + 1.66997i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-1.53002 - 0.409967i) q^{2} -1.00000i q^{3} +(0.440828 + 0.254512i) q^{4} +(-3.63307 + 0.973479i) q^{5} +(-0.409967 + 1.53002i) q^{6} +(-1.31124 - 2.29797i) q^{7} +(1.66997 + 1.66997i) q^{8} -1.00000 q^{9} +5.95776 q^{10} +(2.38426 + 2.38426i) q^{11} +(0.254512 - 0.440828i) q^{12} +(3.03769 + 1.94228i) q^{13} +(1.06413 + 4.05349i) q^{14} +(0.973479 + 3.63307i) q^{15} +(-2.37947 - 4.12137i) q^{16} +(-1.66896 + 2.89072i) q^{17} +(1.53002 + 0.409967i) q^{18} +(0.537206 + 0.537206i) q^{19} +(-1.84932 - 0.495525i) q^{20} +(-2.29797 + 1.31124i) q^{21} +(-2.67049 - 4.62542i) q^{22} +(3.08517 - 1.78122i) q^{23} +(1.66997 - 1.66997i) q^{24} +(7.92144 - 4.57345i) q^{25} +(-3.85145 - 4.21707i) q^{26} +1.00000i q^{27} +(0.00683031 - 1.34673i) q^{28} +(-1.42199 + 2.46295i) q^{29} -5.95776i q^{30} +(-2.38635 + 8.90596i) q^{31} +(0.728508 + 2.71883i) q^{32} +(2.38426 - 2.38426i) q^{33} +(3.73864 - 3.73864i) q^{34} +(7.00085 + 7.07223i) q^{35} +(-0.440828 - 0.254512i) q^{36} +(-2.93212 + 10.9428i) q^{37} +(-0.601698 - 1.04217i) q^{38} +(1.94228 - 3.03769i) q^{39} +(-7.69280 - 4.44144i) q^{40} +(-6.84386 + 1.83381i) q^{41} +(4.05349 - 1.06413i) q^{42} +(10.9295 - 6.31017i) q^{43} +(0.444225 + 1.65787i) q^{44} +(3.63307 - 0.973479i) q^{45} +(-5.45060 + 1.46048i) q^{46} +(0.356118 + 1.32905i) q^{47} +(-4.12137 + 2.37947i) q^{48} +(-3.56131 + 6.02636i) q^{49} +(-13.9949 + 3.74992i) q^{50} +(2.89072 + 1.66896i) q^{51} +(0.844767 + 1.62934i) q^{52} +(-3.59290 - 6.22308i) q^{53} +(0.409967 - 1.53002i) q^{54} +(-10.9832 - 6.34116i) q^{55} +(1.64781 - 6.02726i) q^{56} +(0.537206 - 0.537206i) q^{57} +(3.18539 - 3.18539i) q^{58} +(0.816620 + 3.04767i) q^{59} +(-0.495525 + 1.84932i) q^{60} +1.04213i q^{61} +(7.30230 - 12.6480i) q^{62} +(1.31124 + 2.29797i) q^{63} +5.05937i q^{64} +(-12.9269 - 4.09930i) q^{65} +(-4.62542 + 2.67049i) q^{66} +(-2.09191 + 2.09191i) q^{67} +(-1.47145 + 0.849541i) q^{68} +(-1.78122 - 3.08517i) q^{69} +(-7.81204 - 13.6907i) q^{70} +(-7.00412 - 1.87675i) q^{71} +(-1.66997 - 1.66997i) q^{72} +(2.08933 + 0.559835i) q^{73} +(8.97239 - 15.5406i) q^{74} +(-4.57345 - 7.92144i) q^{75} +(0.100090 + 0.373541i) q^{76} +(2.35262 - 8.60528i) q^{77} +(-4.21707 + 3.85145i) q^{78} +(-5.54357 + 9.60175i) q^{79} +(12.6569 + 12.6569i) q^{80} +1.00000 q^{81} +11.2230 q^{82} +(1.51210 + 1.51210i) q^{83} +(-1.34673 - 0.00683031i) q^{84} +(3.24940 - 12.1269i) q^{85} +(-19.3093 + 5.17392i) q^{86} +(2.46295 + 1.42199i) q^{87} +7.96327i q^{88} +(-3.05671 - 0.819042i) q^{89} -5.95776 q^{90} +(0.480151 - 9.52730i) q^{91} +1.81337 q^{92} +(8.90596 + 2.38635i) q^{93} -2.17947i q^{94} +(-2.47467 - 1.42875i) q^{95} +(2.71883 - 0.728508i) q^{96} +(3.23001 - 12.0545i) q^{97} +(7.91947 - 7.76042i) q^{98} +(-2.38426 - 2.38426i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.53002 0.409967i −1.08189 0.289890i −0.326517 0.945191i \(-0.605875\pi\)
−0.755368 + 0.655301i \(0.772542\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 0.440828 + 0.254512i 0.220414 + 0.127256i
\(5\) −3.63307 + 0.973479i −1.62476 + 0.435353i −0.952395 0.304866i \(-0.901388\pi\)
−0.672365 + 0.740219i \(0.734722\pi\)
\(6\) −0.409967 + 1.53002i −0.167368 + 0.624627i
\(7\) −1.31124 2.29797i −0.495601 0.868550i
\(8\) 1.66997 + 1.66997i 0.590423 + 0.590423i
\(9\) −1.00000 −0.333333
\(10\) 5.95776 1.88401
\(11\) 2.38426 + 2.38426i 0.718881 + 0.718881i 0.968376 0.249495i \(-0.0802646\pi\)
−0.249495 + 0.968376i \(0.580265\pi\)
\(12\) 0.254512 0.440828i 0.0734713 0.127256i
\(13\) 3.03769 + 1.94228i 0.842504 + 0.538690i
\(14\) 1.06413 + 4.05349i 0.284400 + 1.08334i
\(15\) 0.973479 + 3.63307i 0.251351 + 0.938056i
\(16\) −2.37947 4.12137i −0.594868 1.03034i
\(17\) −1.66896 + 2.89072i −0.404782 + 0.701103i −0.994296 0.106655i \(-0.965986\pi\)
0.589514 + 0.807758i \(0.299319\pi\)
\(18\) 1.53002 + 0.409967i 0.360628 + 0.0966301i
\(19\) 0.537206 + 0.537206i 0.123244 + 0.123244i 0.766038 0.642795i \(-0.222225\pi\)
−0.642795 + 0.766038i \(0.722225\pi\)
\(20\) −1.84932 0.495525i −0.413521 0.110803i
\(21\) −2.29797 + 1.31124i −0.501458 + 0.286136i
\(22\) −2.67049 4.62542i −0.569350 0.986143i
\(23\) 3.08517 1.78122i 0.643302 0.371411i −0.142583 0.989783i \(-0.545541\pi\)
0.785886 + 0.618372i \(0.212207\pi\)
\(24\) 1.66997 1.66997i 0.340881 0.340881i
\(25\) 7.92144 4.57345i 1.58429 0.914690i
\(26\) −3.85145 4.21707i −0.755331 0.827035i
\(27\) 1.00000i 0.192450i
\(28\) 0.00683031 1.34673i 0.00129081 0.254509i
\(29\) −1.42199 + 2.46295i −0.264056 + 0.457358i −0.967316 0.253574i \(-0.918394\pi\)
0.703260 + 0.710933i \(0.251727\pi\)
\(30\) 5.95776i 1.08773i
\(31\) −2.38635 + 8.90596i −0.428600 + 1.59956i 0.327332 + 0.944909i \(0.393850\pi\)
−0.755933 + 0.654649i \(0.772816\pi\)
\(32\) 0.728508 + 2.71883i 0.128783 + 0.480625i
\(33\) 2.38426 2.38426i 0.415046 0.415046i
\(34\) 3.73864 3.73864i 0.641171 0.641171i
\(35\) 7.00085 + 7.07223i 1.18336 + 1.19542i
\(36\) −0.440828 0.254512i −0.0734713 0.0424187i
\(37\) −2.93212 + 10.9428i −0.482038 + 1.79899i 0.111007 + 0.993820i \(0.464592\pi\)
−0.593045 + 0.805169i \(0.702074\pi\)
\(38\) −0.601698 1.04217i −0.0976083 0.169063i
\(39\) 1.94228 3.03769i 0.311013 0.486420i
\(40\) −7.69280 4.44144i −1.21634 0.702253i
\(41\) −6.84386 + 1.83381i −1.06883 + 0.286393i −0.750013 0.661423i \(-0.769953\pi\)
−0.318819 + 0.947816i \(0.603286\pi\)
\(42\) 4.05349 1.06413i 0.625468 0.164198i
\(43\) 10.9295 6.31017i 1.66674 0.962291i 0.697358 0.716723i \(-0.254359\pi\)
0.969379 0.245568i \(-0.0789746\pi\)
\(44\) 0.444225 + 1.65787i 0.0669695 + 0.249933i
\(45\) 3.63307 0.973479i 0.541587 0.145118i
\(46\) −5.45060 + 1.46048i −0.803648 + 0.215337i
\(47\) 0.356118 + 1.32905i 0.0519452 + 0.193862i 0.987023 0.160582i \(-0.0513370\pi\)
−0.935077 + 0.354444i \(0.884670\pi\)
\(48\) −4.12137 + 2.37947i −0.594868 + 0.343447i
\(49\) −3.56131 + 6.02636i −0.508759 + 0.860909i
\(50\) −13.9949 + 3.74992i −1.97918 + 0.530319i
\(51\) 2.89072 + 1.66896i 0.404782 + 0.233701i
\(52\) 0.844767 + 1.62934i 0.117148 + 0.225949i
\(53\) −3.59290 6.22308i −0.493523 0.854806i 0.506450 0.862270i \(-0.330958\pi\)
−0.999972 + 0.00746338i \(0.997624\pi\)
\(54\) 0.409967 1.53002i 0.0557894 0.208209i
\(55\) −10.9832 6.34116i −1.48098 0.855042i
\(56\) 1.64781 6.02726i 0.220197 0.805426i
\(57\) 0.537206 0.537206i 0.0711547 0.0711547i
\(58\) 3.18539 3.18539i 0.418262 0.418262i
\(59\) 0.816620 + 3.04767i 0.106315 + 0.396772i 0.998491 0.0549152i \(-0.0174888\pi\)
−0.892176 + 0.451688i \(0.850822\pi\)
\(60\) −0.495525 + 1.84932i −0.0639720 + 0.238747i
\(61\) 1.04213i 0.133432i 0.997772 + 0.0667158i \(0.0212521\pi\)
−0.997772 + 0.0667158i \(0.978748\pi\)
\(62\) 7.30230 12.6480i 0.927393 1.60629i
\(63\) 1.31124 + 2.29797i 0.165200 + 0.289517i
\(64\) 5.05937i 0.632421i
\(65\) −12.9269 4.09930i −1.60339 0.508456i
\(66\) −4.62542 + 2.67049i −0.569350 + 0.328714i
\(67\) −2.09191 + 2.09191i −0.255567 + 0.255567i −0.823248 0.567681i \(-0.807841\pi\)
0.567681 + 0.823248i \(0.307841\pi\)
\(68\) −1.47145 + 0.849541i −0.178439 + 0.103022i
\(69\) −1.78122 3.08517i −0.214434 0.371411i
\(70\) −7.81204 13.6907i −0.933717 1.63636i
\(71\) −7.00412 1.87675i −0.831236 0.222729i −0.181983 0.983302i \(-0.558252\pi\)
−0.649253 + 0.760573i \(0.724918\pi\)
\(72\) −1.66997 1.66997i −0.196808 0.196808i
\(73\) 2.08933 + 0.559835i 0.244538 + 0.0655238i 0.379006 0.925394i \(-0.376266\pi\)
−0.134468 + 0.990918i \(0.542933\pi\)
\(74\) 8.97239 15.5406i 1.04302 1.80656i
\(75\) −4.57345 7.92144i −0.528096 0.914690i
\(76\) 0.100090 + 0.373541i 0.0114811 + 0.0428481i
\(77\) 2.35262 8.60528i 0.268106 0.980663i
\(78\) −4.21707 + 3.85145i −0.477489 + 0.436091i
\(79\) −5.54357 + 9.60175i −0.623700 + 1.08028i 0.365090 + 0.930972i \(0.381038\pi\)
−0.988791 + 0.149309i \(0.952295\pi\)
\(80\) 12.6569 + 12.6569i 1.41508 + 1.41508i
\(81\) 1.00000 0.111111
\(82\) 11.2230 1.23938
\(83\) 1.51210 + 1.51210i 0.165975 + 0.165975i 0.785208 0.619233i \(-0.212556\pi\)
−0.619233 + 0.785208i \(0.712556\pi\)
\(84\) −1.34673 0.00683031i −0.146941 0.000745248i
\(85\) 3.24940 12.1269i 0.352447 1.31535i
\(86\) −19.3093 + 5.17392i −2.08218 + 0.557918i
\(87\) 2.46295 + 1.42199i 0.264056 + 0.152453i
\(88\) 7.96327i 0.848887i
\(89\) −3.05671 0.819042i −0.324010 0.0868183i 0.0931477 0.995652i \(-0.470307\pi\)
−0.417158 + 0.908834i \(0.636974\pi\)
\(90\) −5.95776 −0.628003
\(91\) 0.480151 9.52730i 0.0503335 0.998732i
\(92\) 1.81337 0.189057
\(93\) 8.90596 + 2.38635i 0.923505 + 0.247453i
\(94\) 2.17947i 0.224795i
\(95\) −2.47467 1.42875i −0.253896 0.146587i
\(96\) 2.71883 0.728508i 0.277489 0.0743530i
\(97\) 3.23001 12.0545i 0.327957 1.22395i −0.583348 0.812222i \(-0.698258\pi\)
0.911305 0.411731i \(-0.135076\pi\)
\(98\) 7.91947 7.76042i 0.799988 0.783921i
\(99\) −2.38426 2.38426i −0.239627 0.239627i
\(100\) 4.65599 0.465599
\(101\) −4.39234 −0.437054 −0.218527 0.975831i \(-0.570125\pi\)
−0.218527 + 0.975831i \(0.570125\pi\)
\(102\) −3.73864 3.73864i −0.370180 0.370180i
\(103\) −6.67838 + 11.5673i −0.658040 + 1.13976i 0.323082 + 0.946371i \(0.395281\pi\)
−0.981122 + 0.193389i \(0.938052\pi\)
\(104\) 1.82931 + 8.31638i 0.179378 + 0.815488i
\(105\) 7.07223 7.00085i 0.690179 0.683213i
\(106\) 2.94594 + 10.9944i 0.286135 + 1.06787i
\(107\) −0.0887791 0.153770i −0.00858260 0.0148655i 0.861702 0.507414i \(-0.169399\pi\)
−0.870285 + 0.492549i \(0.836065\pi\)
\(108\) −0.254512 + 0.440828i −0.0244904 + 0.0424187i
\(109\) 5.01713 + 1.34434i 0.480554 + 0.128764i 0.490960 0.871182i \(-0.336646\pi\)
−0.0104068 + 0.999946i \(0.503313\pi\)
\(110\) 14.2048 + 14.2048i 1.35438 + 1.35438i
\(111\) 10.9428 + 2.93212i 1.03865 + 0.278305i
\(112\) −6.35071 + 10.8720i −0.600086 + 1.02731i
\(113\) 10.0079 + 17.3342i 0.941462 + 1.63066i 0.762684 + 0.646771i \(0.223881\pi\)
0.178778 + 0.983889i \(0.442785\pi\)
\(114\) −1.04217 + 0.601698i −0.0976083 + 0.0563542i
\(115\) −9.47467 + 9.47467i −0.883517 + 0.883517i
\(116\) −1.25370 + 0.723825i −0.116403 + 0.0672055i
\(117\) −3.03769 1.94228i −0.280835 0.179563i
\(118\) 4.99777i 0.460082i
\(119\) 8.83119 + 0.0447897i 0.809554 + 0.00410586i
\(120\) −4.44144 + 7.69280i −0.405446 + 0.702253i
\(121\) 0.369378i 0.0335798i
\(122\) 0.427240 1.59448i 0.0386805 0.144358i
\(123\) 1.83381 + 6.84386i 0.165349 + 0.617090i
\(124\) −3.31864 + 3.31864i −0.298023 + 0.298023i
\(125\) −11.0291 + 11.0291i −0.986469 + 0.986469i
\(126\) −1.06413 4.05349i −0.0947999 0.361114i
\(127\) 6.74547 + 3.89450i 0.598564 + 0.345581i 0.768476 0.639878i \(-0.221015\pi\)
−0.169913 + 0.985459i \(0.554349\pi\)
\(128\) 3.53119 13.1786i 0.312116 1.16483i
\(129\) −6.31017 10.9295i −0.555579 0.962291i
\(130\) 18.0978 + 11.5716i 1.58729 + 1.01490i
\(131\) 8.40782 + 4.85426i 0.734595 + 0.424118i 0.820101 0.572219i \(-0.193917\pi\)
−0.0855060 + 0.996338i \(0.527251\pi\)
\(132\) 1.65787 0.444225i 0.144299 0.0386648i
\(133\) 0.530077 1.93889i 0.0459635 0.168123i
\(134\) 4.05826 2.34304i 0.350580 0.202408i
\(135\) −0.973479 3.63307i −0.0837838 0.312685i
\(136\) −7.61452 + 2.04031i −0.652940 + 0.174955i
\(137\) 8.77818 2.35211i 0.749970 0.200954i 0.136465 0.990645i \(-0.456426\pi\)
0.613505 + 0.789691i \(0.289759\pi\)
\(138\) 1.46048 + 5.45060i 0.124325 + 0.463986i
\(139\) −8.85473 + 5.11228i −0.751048 + 0.433618i −0.826073 0.563564i \(-0.809430\pi\)
0.0750244 + 0.997182i \(0.476097\pi\)
\(140\) 1.28620 + 4.89944i 0.108704 + 0.414078i
\(141\) 1.32905 0.356118i 0.111926 0.0299906i
\(142\) 9.94701 + 5.74291i 0.834735 + 0.481934i
\(143\) 2.61175 + 11.8735i 0.218406 + 0.992914i
\(144\) 2.37947 + 4.12137i 0.198289 + 0.343447i
\(145\) 2.76855 10.3324i 0.229915 0.858056i
\(146\) −2.96720 1.71311i −0.245567 0.141778i
\(147\) 6.02636 + 3.56131i 0.497046 + 0.293732i
\(148\) −4.07764 + 4.07764i −0.335180 + 0.335180i
\(149\) 10.6236 10.6236i 0.870318 0.870318i −0.122189 0.992507i \(-0.538991\pi\)
0.992507 + 0.122189i \(0.0389913\pi\)
\(150\) 3.74992 + 13.9949i 0.306180 + 1.14268i
\(151\) 0.0718719 0.268230i 0.00584885 0.0218282i −0.962940 0.269717i \(-0.913070\pi\)
0.968789 + 0.247888i \(0.0797366\pi\)
\(152\) 1.79423i 0.145532i
\(153\) 1.66896 2.89072i 0.134927 0.233701i
\(154\) −7.12742 + 12.2017i −0.574344 + 0.983243i
\(155\) 34.6791i 2.78549i
\(156\) 1.62934 0.844767i 0.130452 0.0676355i
\(157\) 0.272321 0.157225i 0.0217336 0.0125479i −0.489094 0.872231i \(-0.662672\pi\)
0.510827 + 0.859683i \(0.329339\pi\)
\(158\) 12.4182 12.4182i 0.987935 0.987935i
\(159\) −6.22308 + 3.59290i −0.493523 + 0.284935i
\(160\) −5.29344 9.16852i −0.418484 0.724835i
\(161\) −8.13859 4.75401i −0.641410 0.374669i
\(162\) −1.53002 0.409967i −0.120209 0.0322100i
\(163\) 0.667599 + 0.667599i 0.0522904 + 0.0522904i 0.732768 0.680478i \(-0.238228\pi\)
−0.680478 + 0.732768i \(0.738228\pi\)
\(164\) −3.48369 0.933452i −0.272031 0.0728904i
\(165\) −6.34116 + 10.9832i −0.493659 + 0.855042i
\(166\) −1.69363 2.93346i −0.131451 0.227680i
\(167\) −0.626601 2.33851i −0.0484878 0.180959i 0.937435 0.348161i \(-0.113194\pi\)
−0.985923 + 0.167202i \(0.946527\pi\)
\(168\) −6.02726 1.64781i −0.465013 0.127131i
\(169\) 5.45513 + 11.8001i 0.419626 + 0.907697i
\(170\) −9.94326 + 17.2222i −0.762614 + 1.32089i
\(171\) −0.537206 0.537206i −0.0410812 0.0410812i
\(172\) 6.42406 0.489830
\(173\) 17.2215 1.30933 0.654664 0.755920i \(-0.272810\pi\)
0.654664 + 0.755920i \(0.272810\pi\)
\(174\) −3.18539 3.18539i −0.241484 0.241484i
\(175\) −20.8965 12.2063i −1.57963 0.922713i
\(176\) 4.15313 15.4997i 0.313054 1.16833i
\(177\) 3.04767 0.816620i 0.229077 0.0613809i
\(178\) 4.34103 + 2.50630i 0.325374 + 0.187855i
\(179\) 3.44245i 0.257301i 0.991690 + 0.128651i \(0.0410646\pi\)
−0.991690 + 0.128651i \(0.958935\pi\)
\(180\) 1.84932 + 0.495525i 0.137840 + 0.0369342i
\(181\) −25.9767 −1.93084 −0.965418 0.260708i \(-0.916044\pi\)
−0.965418 + 0.260708i \(0.916044\pi\)
\(182\) −4.64052 + 14.3801i −0.343978 + 1.06592i
\(183\) 1.04213 0.0770368
\(184\) 8.12672 + 2.17755i 0.599110 + 0.160531i
\(185\) 42.6105i 3.13278i
\(186\) −12.6480 7.30230i −0.927393 0.535431i
\(187\) −10.8715 + 2.91300i −0.795000 + 0.213020i
\(188\) −0.181273 + 0.676520i −0.0132207 + 0.0493403i
\(189\) 2.29797 1.31124i 0.167153 0.0953785i
\(190\) 3.20055 + 3.20055i 0.232192 + 0.232192i
\(191\) 2.98307 0.215848 0.107924 0.994159i \(-0.465580\pi\)
0.107924 + 0.994159i \(0.465580\pi\)
\(192\) 5.05937 0.365129
\(193\) 1.84850 + 1.84850i 0.133058 + 0.133058i 0.770499 0.637441i \(-0.220007\pi\)
−0.637441 + 0.770499i \(0.720007\pi\)
\(194\) −9.88393 + 17.1195i −0.709624 + 1.22911i
\(195\) −4.09930 + 12.9269i −0.293557 + 0.925716i
\(196\) −3.10371 + 1.75019i −0.221693 + 0.125014i
\(197\) 0.213689 + 0.797498i 0.0152247 + 0.0568194i 0.973120 0.230297i \(-0.0739699\pi\)
−0.957896 + 0.287117i \(0.907303\pi\)
\(198\) 2.67049 + 4.62542i 0.189783 + 0.328714i
\(199\) −4.10087 + 7.10291i −0.290703 + 0.503512i −0.973976 0.226651i \(-0.927222\pi\)
0.683273 + 0.730163i \(0.260556\pi\)
\(200\) 20.8661 + 5.59104i 1.47545 + 0.395347i
\(201\) 2.09191 + 2.09191i 0.147552 + 0.147552i
\(202\) 6.72036 + 1.80071i 0.472843 + 0.126698i
\(203\) 7.52434 + 0.0381616i 0.528105 + 0.00267842i
\(204\) 0.849541 + 1.47145i 0.0594798 + 0.103022i
\(205\) 23.0791 13.3247i 1.61191 0.930638i
\(206\) 14.9602 14.9602i 1.04233 1.04233i
\(207\) −3.08517 + 1.78122i −0.214434 + 0.123804i
\(208\) 0.776728 17.1410i 0.0538564 1.18852i
\(209\) 2.56168i 0.177195i
\(210\) −13.6907 + 7.81204i −0.944751 + 0.539082i
\(211\) 5.37441 9.30875i 0.369989 0.640841i −0.619574 0.784938i \(-0.712695\pi\)
0.989563 + 0.144098i \(0.0460280\pi\)
\(212\) 3.65775i 0.251215i
\(213\) −1.87675 + 7.00412i −0.128593 + 0.479914i
\(214\) 0.0727929 + 0.271667i 0.00497602 + 0.0185708i
\(215\) −33.5650 + 33.5650i −2.28911 + 2.28911i
\(216\) −1.66997 + 1.66997i −0.113627 + 0.113627i
\(217\) 23.5947 6.19409i 1.60171 0.420482i
\(218\) −7.12516 4.11371i −0.482576 0.278616i
\(219\) 0.559835 2.08933i 0.0378302 0.141184i
\(220\) −3.22781 5.59072i −0.217619 0.376927i
\(221\) −10.6844 + 5.53954i −0.718708 + 0.372630i
\(222\) −15.5406 8.97239i −1.04302 0.602187i
\(223\) −5.74055 + 1.53818i −0.384416 + 0.103004i −0.445851 0.895107i \(-0.647099\pi\)
0.0614354 + 0.998111i \(0.480432\pi\)
\(224\) 5.29253 5.23912i 0.353622 0.350053i
\(225\) −7.92144 + 4.57345i −0.528096 + 0.304897i
\(226\) −8.20580 30.6245i −0.545842 2.03711i
\(227\) −19.6924 + 5.27657i −1.30703 + 0.350218i −0.844105 0.536178i \(-0.819868\pi\)
−0.462928 + 0.886396i \(0.653201\pi\)
\(228\) 0.373541 0.100090i 0.0247384 0.00662863i
\(229\) −2.22135 8.29019i −0.146791 0.547831i −0.999669 0.0257212i \(-0.991812\pi\)
0.852878 0.522110i \(-0.174855\pi\)
\(230\) 18.3807 10.6121i 1.21199 0.699741i
\(231\) −8.60528 2.35262i −0.566186 0.154791i
\(232\) −6.48772 + 1.73838i −0.425939 + 0.114130i
\(233\) −4.35471 2.51419i −0.285286 0.164710i 0.350528 0.936552i \(-0.386002\pi\)
−0.635814 + 0.771842i \(0.719336\pi\)
\(234\) 3.85145 + 4.21707i 0.251777 + 0.275678i
\(235\) −2.58761 4.48187i −0.168797 0.292365i
\(236\) −0.415679 + 1.55134i −0.0270584 + 0.100983i
\(237\) 9.60175 + 5.54357i 0.623700 + 0.360094i
\(238\) −13.4935 3.68902i −0.874654 0.239124i
\(239\) −11.6568 + 11.6568i −0.754018 + 0.754018i −0.975227 0.221208i \(-0.929000\pi\)
0.221208 + 0.975227i \(0.429000\pi\)
\(240\) 12.6569 12.6569i 0.816997 0.816997i
\(241\) −1.46113 5.45299i −0.0941193 0.351258i 0.902765 0.430134i \(-0.141534\pi\)
−0.996884 + 0.0788757i \(0.974867\pi\)
\(242\) 0.151433 0.565154i 0.00973446 0.0363295i
\(243\) 1.00000i 0.0641500i
\(244\) −0.265236 + 0.459402i −0.0169800 + 0.0294102i
\(245\) 7.07196 25.3611i 0.451811 1.62026i
\(246\) 11.2230i 0.715554i
\(247\) 0.588464 + 2.67527i 0.0374431 + 0.170223i
\(248\) −18.8578 + 10.8875i −1.19747 + 0.691360i
\(249\) 1.51210 1.51210i 0.0958257 0.0958257i
\(250\) 21.3962 12.3531i 1.35321 0.781279i
\(251\) 5.54226 + 9.59948i 0.349825 + 0.605914i 0.986218 0.165451i \(-0.0529079\pi\)
−0.636394 + 0.771365i \(0.719575\pi\)
\(252\) −0.00683031 + 1.34673i −0.000430269 + 0.0848363i
\(253\) 11.6027 + 3.10894i 0.729458 + 0.195458i
\(254\) −8.72407 8.72407i −0.547397 0.547397i
\(255\) −12.1269 3.24940i −0.759417 0.203485i
\(256\) −5.74619 + 9.95269i −0.359137 + 0.622043i
\(257\) −1.20160 2.08124i −0.0749540 0.129824i 0.826112 0.563506i \(-0.190548\pi\)
−0.901066 + 0.433681i \(0.857214\pi\)
\(258\) 5.17392 + 19.3093i 0.322114 + 1.20215i
\(259\) 28.9910 7.61073i 1.80141 0.472908i
\(260\) −4.65523 5.09715i −0.288705 0.316112i
\(261\) 1.42199 2.46295i 0.0880187 0.152453i
\(262\) −10.8740 10.8740i −0.671799 0.671799i
\(263\) −26.1246 −1.61091 −0.805456 0.592655i \(-0.798080\pi\)
−0.805456 + 0.592655i \(0.798080\pi\)
\(264\) 7.96327 0.490105
\(265\) 19.1113 + 19.1113i 1.17400 + 1.17400i
\(266\) −1.60591 + 2.74922i −0.0984645 + 0.168565i
\(267\) −0.819042 + 3.05671i −0.0501246 + 0.187067i
\(268\) −1.45459 + 0.389755i −0.0888530 + 0.0238081i
\(269\) −22.8806 13.2101i −1.39505 0.805435i −0.401185 0.915997i \(-0.631402\pi\)
−0.993869 + 0.110562i \(0.964735\pi\)
\(270\) 5.95776i 0.362578i
\(271\) −7.31591 1.96029i −0.444410 0.119079i 0.0296728 0.999560i \(-0.490553\pi\)
−0.474082 + 0.880480i \(0.657220\pi\)
\(272\) 15.8850 0.963168
\(273\) −9.52730 0.480151i −0.576618 0.0290600i
\(274\) −14.3950 −0.869637
\(275\) 29.7911 + 7.98249i 1.79647 + 0.481362i
\(276\) 1.81337i 0.109152i
\(277\) −19.5228 11.2715i −1.17301 0.677238i −0.218624 0.975809i \(-0.570157\pi\)
−0.954387 + 0.298571i \(0.903490\pi\)
\(278\) 15.6437 4.19173i 0.938250 0.251403i
\(279\) 2.38635 8.90596i 0.142867 0.533186i
\(280\) −0.119194 + 23.5016i −0.00712322 + 1.40449i
\(281\) −7.73479 7.73479i −0.461419 0.461419i 0.437701 0.899120i \(-0.355793\pi\)
−0.899120 + 0.437701i \(0.855793\pi\)
\(282\) −2.17947 −0.129785
\(283\) 17.7305 1.05397 0.526984 0.849875i \(-0.323323\pi\)
0.526984 + 0.849875i \(0.323323\pi\)
\(284\) −2.60996 2.60996i −0.154872 0.154872i
\(285\) −1.42875 + 2.47467i −0.0846319 + 0.146587i
\(286\) 0.871725 19.2374i 0.0515462 1.13753i
\(287\) 13.1880 + 13.3224i 0.778461 + 0.786397i
\(288\) −0.728508 2.71883i −0.0429277 0.160208i
\(289\) 2.92914 + 5.07343i 0.172303 + 0.298437i
\(290\) −8.47185 + 14.6737i −0.497484 + 0.861667i
\(291\) −12.0545 3.23001i −0.706650 0.189346i
\(292\) 0.778552 + 0.778552i 0.0455613 + 0.0455613i
\(293\) 12.4507 + 3.33616i 0.727379 + 0.194901i 0.603462 0.797392i \(-0.293788\pi\)
0.123917 + 0.992293i \(0.460454\pi\)
\(294\) −7.76042 7.91947i −0.452597 0.461873i
\(295\) −5.93368 10.2774i −0.345472 0.598376i
\(296\) −23.1707 + 13.3776i −1.34677 + 0.777558i
\(297\) −2.38426 + 2.38426i −0.138349 + 0.138349i
\(298\) −20.6096 + 11.8990i −1.19388 + 0.689288i
\(299\) 12.8314 + 0.581443i 0.742060 + 0.0336257i
\(300\) 4.65599i 0.268814i
\(301\) −28.8318 16.8416i −1.66184 0.970732i
\(302\) −0.219930 + 0.380931i −0.0126556 + 0.0219201i
\(303\) 4.39234i 0.252333i
\(304\) 0.935756 3.49229i 0.0536693 0.200297i
\(305\) −1.01450 3.78615i −0.0580899 0.216794i
\(306\) −3.73864 + 3.73864i −0.213724 + 0.213724i
\(307\) 5.82305 5.82305i 0.332339 0.332339i −0.521135 0.853474i \(-0.674491\pi\)
0.853474 + 0.521135i \(0.174491\pi\)
\(308\) 3.22725 3.19468i 0.183890 0.182034i
\(309\) 11.5673 + 6.67838i 0.658040 + 0.379920i
\(310\) −14.2173 + 53.0596i −0.807487 + 3.01358i
\(311\) 13.5284 + 23.4318i 0.767124 + 1.32870i 0.939116 + 0.343600i \(0.111646\pi\)
−0.171992 + 0.985098i \(0.555020\pi\)
\(312\) 8.31638 1.82931i 0.470822 0.103564i
\(313\) 11.8883 + 6.86374i 0.671969 + 0.387962i 0.796822 0.604214i \(-0.206513\pi\)
−0.124853 + 0.992175i \(0.539846\pi\)
\(314\) −0.481113 + 0.128914i −0.0271508 + 0.00727502i
\(315\) −7.00085 7.07223i −0.394453 0.398475i
\(316\) −4.88752 + 2.82181i −0.274945 + 0.158739i
\(317\) −0.599689 2.23807i −0.0336819 0.125702i 0.947038 0.321122i \(-0.104060\pi\)
−0.980720 + 0.195419i \(0.937393\pi\)
\(318\) 10.9944 2.94594i 0.616535 0.165200i
\(319\) −9.26269 + 2.48193i −0.518611 + 0.138961i
\(320\) −4.92519 18.3811i −0.275327 1.02753i
\(321\) −0.153770 + 0.0887791i −0.00858260 + 0.00495516i
\(322\) 10.5032 + 10.6103i 0.585320 + 0.591287i
\(323\) −2.44949 + 0.656339i −0.136293 + 0.0365197i
\(324\) 0.440828 + 0.254512i 0.0244904 + 0.0141396i
\(325\) 32.9458 + 1.49291i 1.82750 + 0.0828115i
\(326\) −0.747745 1.29513i −0.0414138 0.0717307i
\(327\) 1.34434 5.01713i 0.0743419 0.277448i
\(328\) −14.4914 8.36663i −0.800155 0.461970i
\(329\) 2.58716 2.56105i 0.142635 0.141195i
\(330\) 14.2048 14.2048i 0.781951 0.781951i
\(331\) 18.2666 18.2666i 1.00402 1.00402i 0.00403235 0.999992i \(-0.498716\pi\)
0.999992 0.00403235i \(-0.00128354\pi\)
\(332\) 0.281729 + 1.05143i 0.0154619 + 0.0577045i
\(333\) 2.93212 10.9428i 0.160679 0.599663i
\(334\) 3.83484i 0.209833i
\(335\) 5.56362 9.63647i 0.303973 0.526497i
\(336\) 10.8720 + 6.35071i 0.593118 + 0.346460i
\(337\) 32.4074i 1.76534i 0.469990 + 0.882672i \(0.344257\pi\)
−0.469990 + 0.882672i \(0.655743\pi\)
\(338\) −3.50881 20.2907i −0.190854 1.10367i
\(339\) 17.3342 10.0079i 0.941462 0.543554i
\(340\) 4.51887 4.51887i 0.245070 0.245070i
\(341\) −26.9238 + 15.5445i −1.45800 + 0.841779i
\(342\) 0.601698 + 1.04217i 0.0325361 + 0.0563542i
\(343\) 18.5181 + 0.281778i 0.999884 + 0.0152146i
\(344\) 28.7897 + 7.71418i 1.55224 + 0.415921i
\(345\) 9.47467 + 9.47467i 0.510099 + 0.510099i
\(346\) −26.3492 7.06025i −1.41654 0.379562i
\(347\) 15.5107 26.8654i 0.832660 1.44221i −0.0632613 0.997997i \(-0.520150\pi\)
0.895921 0.444213i \(-0.146517\pi\)
\(348\) 0.723825 + 1.25370i 0.0388011 + 0.0672055i
\(349\) −0.142223 0.530784i −0.00761303 0.0284122i 0.962015 0.272997i \(-0.0880150\pi\)
−0.969628 + 0.244585i \(0.921348\pi\)
\(350\) 26.9679 + 27.2428i 1.44149 + 1.45619i
\(351\) −1.94228 + 3.03769i −0.103671 + 0.162140i
\(352\) −4.74544 + 8.21934i −0.252933 + 0.438092i
\(353\) −8.74784 8.74784i −0.465601 0.465601i 0.434885 0.900486i \(-0.356789\pi\)
−0.900486 + 0.434885i \(0.856789\pi\)
\(354\) −4.99777 −0.265628
\(355\) 27.2735 1.44752
\(356\) −1.13903 1.13903i −0.0603682 0.0603682i
\(357\) 0.0447897 8.83119i 0.00237052 0.467396i
\(358\) 1.41129 5.26701i 0.0745891 0.278370i
\(359\) −7.03362 + 1.88465i −0.371220 + 0.0994682i −0.439606 0.898191i \(-0.644882\pi\)
0.0683856 + 0.997659i \(0.478215\pi\)
\(360\) 7.69280 + 4.44144i 0.405446 + 0.234084i
\(361\) 18.4228i 0.969622i
\(362\) 39.7448 + 10.6496i 2.08894 + 0.559730i
\(363\) 0.369378 0.0193873
\(364\) 2.63648 4.07770i 0.138189 0.213729i
\(365\) −8.13569 −0.425842
\(366\) −1.59448 0.427240i −0.0833450 0.0223322i
\(367\) 4.31177i 0.225073i −0.993648 0.112536i \(-0.964103\pi\)
0.993648 0.112536i \(-0.0358975\pi\)
\(368\) −14.6821 8.47674i −0.765360 0.441881i
\(369\) 6.84386 1.83381i 0.356277 0.0954642i
\(370\) −17.4689 + 65.1947i −0.908163 + 3.38931i
\(371\) −9.58930 + 16.4163i −0.497852 + 0.852292i
\(372\) 3.31864 + 3.31864i 0.172064 + 0.172064i
\(373\) −17.1750 −0.889289 −0.444645 0.895707i \(-0.646670\pi\)
−0.444645 + 0.895707i \(0.646670\pi\)
\(374\) 17.8278 0.921851
\(375\) 11.0291 + 11.0291i 0.569538 + 0.569538i
\(376\) −1.62477 + 2.81418i −0.0837909 + 0.145130i
\(377\) −9.10328 + 4.71980i −0.468843 + 0.243082i
\(378\) −4.05349 + 1.06413i −0.208489 + 0.0547327i
\(379\) 0.602843 + 2.24984i 0.0309659 + 0.115566i 0.979679 0.200572i \(-0.0642801\pi\)
−0.948713 + 0.316139i \(0.897613\pi\)
\(380\) −0.727269 1.25967i −0.0373081 0.0646196i
\(381\) 3.89450 6.74547i 0.199521 0.345581i
\(382\) −4.56415 1.22296i −0.233522 0.0625721i
\(383\) −19.4875 19.4875i −0.995766 0.995766i 0.00422533 0.999991i \(-0.498655\pi\)
−0.999991 + 0.00422533i \(0.998655\pi\)
\(384\) −13.1786 3.53119i −0.672516 0.180200i
\(385\) −0.170177 + 33.5538i −0.00867302 + 1.71006i
\(386\) −2.07041 3.58606i −0.105381 0.182526i
\(387\) −10.9295 + 6.31017i −0.555579 + 0.320764i
\(388\) 4.49191 4.49191i 0.228042 0.228042i
\(389\) 10.7596 6.21203i 0.545531 0.314962i −0.201787 0.979430i \(-0.564675\pi\)
0.747318 + 0.664467i \(0.231341\pi\)
\(390\) 11.5716 18.0978i 0.585951 0.916419i
\(391\) 11.8912i 0.601362i
\(392\) −16.0111 + 4.11656i −0.808683 + 0.207918i
\(393\) 4.85426 8.40782i 0.244865 0.424118i
\(394\) 1.30779i 0.0658855i
\(395\) 10.7931 40.2804i 0.543060 2.02673i
\(396\) −0.444225 1.65787i −0.0223232 0.0833111i
\(397\) 22.8495 22.8495i 1.14679 1.14679i 0.159604 0.987181i \(-0.448978\pi\)
0.987181 0.159604i \(-0.0510217\pi\)
\(398\) 9.18635 9.18635i 0.460470 0.460470i
\(399\) −1.93889 0.530077i −0.0970658 0.0265371i
\(400\) −37.6977 21.7648i −1.88488 1.08824i
\(401\) −3.64535 + 13.6046i −0.182040 + 0.679383i 0.813205 + 0.581978i \(0.197721\pi\)
−0.995245 + 0.0974054i \(0.968946\pi\)
\(402\) −2.34304 4.05826i −0.116860 0.202408i
\(403\) −24.5468 + 22.4186i −1.22276 + 1.11675i
\(404\) −1.93627 1.11790i −0.0963329 0.0556178i
\(405\) −3.63307 + 0.973479i −0.180529 + 0.0483726i
\(406\) −11.4967 3.14312i −0.570573 0.155990i
\(407\) −33.0815 + 19.0996i −1.63979 + 0.946731i
\(408\) 2.04031 + 7.61452i 0.101010 + 0.376975i
\(409\) −28.4643 + 7.62699i −1.40747 + 0.377130i −0.881021 0.473077i \(-0.843143\pi\)
−0.526448 + 0.850207i \(0.676477\pi\)
\(410\) −40.7741 + 10.9254i −2.01369 + 0.539566i
\(411\) −2.35211 8.77818i −0.116021 0.432996i
\(412\) −5.88804 + 3.39946i −0.290083 + 0.167479i
\(413\) 5.93266 5.87278i 0.291927 0.288981i
\(414\) 5.45060 1.46048i 0.267883 0.0717789i
\(415\) −6.96559 4.02159i −0.341927 0.197412i
\(416\) −3.06773 + 9.67392i −0.150408 + 0.474303i
\(417\) 5.11228 + 8.85473i 0.250349 + 0.433618i
\(418\) 1.05020 3.91941i 0.0513671 0.191705i
\(419\) 10.6429 + 6.14470i 0.519941 + 0.300188i 0.736911 0.675990i \(-0.236284\pi\)
−0.216970 + 0.976178i \(0.569617\pi\)
\(420\) 4.89944 1.28620i 0.239068 0.0627603i
\(421\) 6.08177 6.08177i 0.296407 0.296407i −0.543197 0.839605i \(-0.682787\pi\)
0.839605 + 0.543197i \(0.182787\pi\)
\(422\) −12.0392 + 12.0392i −0.586060 + 0.586060i
\(423\) −0.356118 1.32905i −0.0173151 0.0646207i
\(424\) 4.39232 16.3924i 0.213310 0.796084i
\(425\) 30.5316i 1.48100i
\(426\) 5.74291 9.94701i 0.278245 0.481934i
\(427\) 2.39479 1.36649i 0.115892 0.0661289i
\(428\) 0.0903814i 0.00436875i
\(429\) 11.8735 2.61175i 0.573259 0.126097i
\(430\) 65.1155 37.5945i 3.14015 1.81297i
\(431\) −24.1214 + 24.1214i −1.16189 + 1.16189i −0.177826 + 0.984062i \(0.556907\pi\)
−0.984062 + 0.177826i \(0.943093\pi\)
\(432\) 4.12137 2.37947i 0.198289 0.114482i
\(433\) −14.7993 25.6331i −0.711209 1.23185i −0.964403 0.264435i \(-0.914815\pi\)
0.253194 0.967415i \(-0.418519\pi\)
\(434\) −38.6396 0.195971i −1.85476 0.00940690i
\(435\) −10.3324 2.76855i −0.495399 0.132742i
\(436\) 1.86954 + 1.86954i 0.0895348 + 0.0895348i
\(437\) 2.61426 + 0.700488i 0.125057 + 0.0335089i
\(438\) −1.71311 + 2.96720i −0.0818558 + 0.141778i
\(439\) 9.21425 + 15.9596i 0.439772 + 0.761708i 0.997672 0.0682006i \(-0.0217258\pi\)
−0.557899 + 0.829909i \(0.688392\pi\)
\(440\) −7.75208 28.9311i −0.369566 1.37924i
\(441\) 3.56131 6.02636i 0.169586 0.286970i
\(442\) 18.6183 4.09536i 0.885582 0.194796i
\(443\) −2.87530 + 4.98017i −0.136610 + 0.236615i −0.926211 0.377005i \(-0.876954\pi\)
0.789601 + 0.613620i \(0.210287\pi\)
\(444\) 4.07764 + 4.07764i 0.193516 + 0.193516i
\(445\) 11.9026 0.564236
\(446\) 9.41374 0.445753
\(447\) −10.6236 10.6236i −0.502478 0.502478i
\(448\) 11.6263 6.63404i 0.549290 0.313429i
\(449\) 5.09748 19.0241i 0.240565 0.897801i −0.734996 0.678072i \(-0.762816\pi\)
0.975561 0.219729i \(-0.0705174\pi\)
\(450\) 13.9949 3.74992i 0.659726 0.176773i
\(451\) −20.6898 11.9453i −0.974245 0.562480i
\(452\) 10.1885i 0.479227i
\(453\) −0.268230 0.0718719i −0.0126025 0.00337684i
\(454\) 32.2930 1.51558
\(455\) 7.53021 + 35.0808i 0.353022 + 1.64461i
\(456\) 1.79423 0.0840227
\(457\) −3.00408 0.804940i −0.140525 0.0376535i 0.187871 0.982194i \(-0.439841\pi\)
−0.328396 + 0.944540i \(0.606508\pi\)
\(458\) 13.5948i 0.635243i
\(459\) −2.89072 1.66896i −0.134927 0.0779004i
\(460\) −6.58812 + 1.76528i −0.307173 + 0.0823066i
\(461\) −8.13643 + 30.3656i −0.378951 + 1.41427i 0.468533 + 0.883446i \(0.344783\pi\)
−0.847485 + 0.530820i \(0.821884\pi\)
\(462\) 12.2017 + 7.12742i 0.567676 + 0.331598i
\(463\) 10.2951 + 10.2951i 0.478455 + 0.478455i 0.904637 0.426182i \(-0.140142\pi\)
−0.426182 + 0.904637i \(0.640142\pi\)
\(464\) 13.5343 0.628314
\(465\) −34.6791 −1.60820
\(466\) 5.63204 + 5.63204i 0.260899 + 0.260899i
\(467\) 6.26532 10.8518i 0.289924 0.502164i −0.683867 0.729607i \(-0.739703\pi\)
0.973791 + 0.227443i \(0.0730365\pi\)
\(468\) −0.844767 1.62934i −0.0390493 0.0753162i
\(469\) 7.55012 + 2.06414i 0.348632 + 0.0953133i
\(470\) 2.12167 + 7.91817i 0.0978652 + 0.365238i
\(471\) −0.157225 0.272321i −0.00724453 0.0125479i
\(472\) −3.72578 + 6.45323i −0.171493 + 0.297034i
\(473\) 41.1039 + 11.0138i 1.88996 + 0.506413i
\(474\) −12.4182 12.4182i −0.570385 0.570385i
\(475\) 6.71233 + 1.79856i 0.307983 + 0.0825238i
\(476\) 3.88164 + 2.26739i 0.177915 + 0.103926i
\(477\) 3.59290 + 6.22308i 0.164508 + 0.284935i
\(478\) 22.6141 13.0562i 1.03434 0.597179i
\(479\) 14.8262 14.8262i 0.677424 0.677424i −0.281992 0.959417i \(-0.590995\pi\)
0.959417 + 0.281992i \(0.0909953\pi\)
\(480\) −9.16852 + 5.29344i −0.418484 + 0.241612i
\(481\) −30.1609 + 27.5459i −1.37522 + 1.25599i
\(482\) 8.94218i 0.407305i
\(483\) −4.75401 + 8.13859i −0.216315 + 0.370318i
\(484\) −0.0940112 + 0.162832i −0.00427324 + 0.00740146i
\(485\) 46.9394i 2.13141i
\(486\) −0.409967 + 1.53002i −0.0185965 + 0.0694030i
\(487\) 2.79170 + 10.4187i 0.126504 + 0.472119i 0.999889 0.0149118i \(-0.00474676\pi\)
−0.873385 + 0.487030i \(0.838080\pi\)
\(488\) −1.74033 + 1.74033i −0.0787811 + 0.0787811i
\(489\) 0.667599 0.667599i 0.0301899 0.0301899i
\(490\) −21.2174 + 35.9036i −0.958506 + 1.62196i
\(491\) 30.7318 + 17.7430i 1.38691 + 0.800730i 0.992965 0.118406i \(-0.0377785\pi\)
0.393940 + 0.919136i \(0.371112\pi\)
\(492\) −0.933452 + 3.48369i −0.0420833 + 0.157057i
\(493\) −4.74647 8.22113i −0.213770 0.370261i
\(494\) 0.196412 4.33446i 0.00883698 0.195016i
\(495\) 10.9832 + 6.34116i 0.493659 + 0.285014i
\(496\) 42.3830 11.3565i 1.90305 0.509921i
\(497\) 4.87136 + 18.5561i 0.218510 + 0.832355i
\(498\) −2.93346 + 1.69363i −0.131451 + 0.0758935i
\(499\) 1.32898 + 4.95983i 0.0594935 + 0.222033i 0.989272 0.146088i \(-0.0466681\pi\)
−0.929778 + 0.368120i \(0.880001\pi\)
\(500\) −7.66895 + 2.05489i −0.342966 + 0.0918974i
\(501\) −2.33851 + 0.626601i −0.104477 + 0.0279945i
\(502\) −4.54429 16.9595i −0.202821 0.756940i
\(503\) 31.3005 18.0713i 1.39562 0.805761i 0.401690 0.915776i \(-0.368423\pi\)
0.993930 + 0.110015i \(0.0350897\pi\)
\(504\) −1.64781 + 6.02726i −0.0733991 + 0.268475i
\(505\) 15.9577 4.27585i 0.710108 0.190273i
\(506\) −16.4778 9.51348i −0.732529 0.422926i
\(507\) 11.8001 5.45513i 0.524059 0.242271i
\(508\) 1.98239 + 3.43361i 0.0879546 + 0.152342i
\(509\) 7.45841 27.8352i 0.330588 1.23377i −0.577985 0.816047i \(-0.696161\pi\)
0.908574 0.417725i \(-0.137172\pi\)
\(510\) 17.2222 + 9.94326i 0.762614 + 0.440295i
\(511\) −1.45313 5.53530i −0.0642827 0.244867i
\(512\) −6.42274 + 6.42274i −0.283848 + 0.283848i
\(513\) −0.537206 + 0.537206i −0.0237182 + 0.0237182i
\(514\) 0.985235 + 3.67695i 0.0434569 + 0.162183i
\(515\) 13.0025 48.5261i 0.572960 2.13832i
\(516\) 6.42406i 0.282803i
\(517\) −2.31972 + 4.01788i −0.102021 + 0.176706i
\(518\) −47.4768 0.240791i −2.08601 0.0105797i
\(519\) 17.2215i 0.755941i
\(520\) −14.7418 28.4332i −0.646472 1.24688i
\(521\) 15.6852 9.05586i 0.687182 0.396745i −0.115374 0.993322i \(-0.536807\pi\)
0.802555 + 0.596578i \(0.203473\pi\)
\(522\) −3.18539 + 3.18539i −0.139421 + 0.139421i
\(523\) 1.47572 0.852009i 0.0645288 0.0372557i −0.467388 0.884052i \(-0.654805\pi\)
0.531917 + 0.846796i \(0.321472\pi\)
\(524\) 2.47094 + 4.27979i 0.107943 + 0.186963i
\(525\) −12.2063 + 20.8965i −0.532728 + 0.911999i
\(526\) 39.9711 + 10.7102i 1.74282 + 0.466988i
\(527\) −21.7620 21.7620i −0.947966 0.947966i
\(528\) −15.4997 4.15313i −0.674537 0.180742i
\(529\) −5.15449 + 8.92783i −0.224108 + 0.388167i
\(530\) −21.4056 37.0756i −0.929801 1.61046i
\(531\) −0.816620 3.04767i −0.0354383 0.132257i
\(532\) 0.727144 0.719805i 0.0315257 0.0312075i
\(533\) −24.3513 7.72212i −1.05477 0.334482i
\(534\) 2.50630 4.34103i 0.108458 0.187855i
\(535\) 0.472233 + 0.472233i 0.0204164 + 0.0204164i
\(536\) −6.98683 −0.301785
\(537\) 3.44245 0.148553
\(538\) 29.5920 + 29.5920i 1.27580 + 1.27580i
\(539\) −22.8595 + 5.87733i −0.984628 + 0.253154i
\(540\) 0.495525 1.84932i 0.0213240 0.0795822i
\(541\) 7.67860 2.05747i 0.330129 0.0884577i −0.0899476 0.995946i \(-0.528670\pi\)
0.420076 + 0.907489i \(0.362003\pi\)
\(542\) 10.3898 + 5.99856i 0.446280 + 0.257660i
\(543\) 25.9767i 1.11477i
\(544\) −9.07523 2.43170i −0.389097 0.104258i
\(545\) −19.5363 −0.836842
\(546\) 14.3801 + 4.64052i 0.615411 + 0.198596i
\(547\) −45.6503 −1.95187 −0.975933 0.218072i \(-0.930023\pi\)
−0.975933 + 0.218072i \(0.930023\pi\)
\(548\) 4.46831 + 1.19728i 0.190877 + 0.0511452i
\(549\) 1.04213i 0.0444772i
\(550\) −42.3083 24.4267i −1.80403 1.04156i
\(551\) −2.08701 + 0.559213i −0.0889097 + 0.0238233i
\(552\) 2.17755 8.12672i 0.0926826 0.345896i
\(553\) 29.3334 + 0.148772i 1.24738 + 0.00632643i
\(554\) 25.2493 + 25.2493i 1.07274 + 1.07274i
\(555\) −42.6105 −1.80871
\(556\) −5.20455 −0.220722
\(557\) −8.86445 8.86445i −0.375599 0.375599i 0.493913 0.869511i \(-0.335566\pi\)
−0.869511 + 0.493913i \(0.835566\pi\)
\(558\) −7.30230 + 12.6480i −0.309131 + 0.535431i
\(559\) 45.4566 + 2.05982i 1.92261 + 0.0871211i
\(560\) 12.4889 45.6812i 0.527752 1.93038i
\(561\) 2.91300 + 10.8715i 0.122987 + 0.458994i
\(562\) 8.66336 + 15.0054i 0.365442 + 0.632963i
\(563\) −7.35106 + 12.7324i −0.309810 + 0.536607i −0.978321 0.207096i \(-0.933599\pi\)
0.668510 + 0.743703i \(0.266932\pi\)
\(564\) 0.676520 + 0.181273i 0.0284866 + 0.00763297i
\(565\) −53.2338 53.2338i −2.23956 2.23956i
\(566\) −27.1279 7.26891i −1.14027 0.305535i
\(567\) −1.31124 2.29797i −0.0550668 0.0965056i
\(568\) −8.56254 14.8308i −0.359276 0.622285i
\(569\) −18.3098 + 10.5712i −0.767588 + 0.443167i −0.832014 0.554755i \(-0.812812\pi\)
0.0644254 + 0.997923i \(0.479479\pi\)
\(570\) 3.20055 3.20055i 0.134056 0.134056i
\(571\) 2.38493 1.37694i 0.0998064 0.0576232i −0.449266 0.893398i \(-0.648314\pi\)
0.549072 + 0.835775i \(0.314981\pi\)
\(572\) −1.87062 + 5.89891i −0.0782147 + 0.246646i
\(573\) 2.98307i 0.124620i
\(574\) −14.7161 25.7901i −0.614236 1.07646i
\(575\) 16.2927 28.2197i 0.679451 1.17684i
\(576\) 5.05937i 0.210807i
\(577\) −1.61848 + 6.04026i −0.0673783 + 0.251459i −0.991397 0.130888i \(-0.958217\pi\)
0.924019 + 0.382347i \(0.124884\pi\)
\(578\) −2.40170 8.96328i −0.0998977 0.372823i
\(579\) 1.84850 1.84850i 0.0768211 0.0768211i
\(580\) 3.85016 3.85016i 0.159869 0.159869i
\(581\) 1.49204 5.45749i 0.0619002 0.226415i
\(582\) 17.1195 + 9.88393i 0.709624 + 0.409702i
\(583\) 6.27104 23.4038i 0.259720 0.969288i
\(584\) 2.55421 + 4.42403i 0.105694 + 0.183067i
\(585\) 12.9269 + 4.09930i 0.534463 + 0.169485i
\(586\) −17.6821 10.2088i −0.730441 0.421720i
\(587\) 15.8338 4.24265i 0.653530 0.175113i 0.0832057 0.996532i \(-0.473484\pi\)
0.570324 + 0.821420i \(0.306817\pi\)
\(588\) 1.75019 + 3.10371i 0.0721768 + 0.127995i
\(589\) −6.06630 + 3.50238i −0.249958 + 0.144313i
\(590\) 4.86523 + 18.1573i 0.200298 + 0.747523i
\(591\) 0.797498 0.213689i 0.0328047 0.00878999i
\(592\) 52.0763 13.9538i 2.14032 0.573497i
\(593\) 3.98614 + 14.8765i 0.163691 + 0.610904i 0.998203 + 0.0599148i \(0.0190829\pi\)
−0.834512 + 0.550989i \(0.814250\pi\)
\(594\) 4.62542 2.67049i 0.189783 0.109571i
\(595\) −32.1280 + 8.43426i −1.31712 + 0.345771i
\(596\) 7.38701 1.97934i 0.302584 0.0810770i
\(597\) 7.10291 + 4.10087i 0.290703 + 0.167837i
\(598\) −19.3939 6.15007i −0.793076 0.251495i
\(599\) 13.0357 + 22.5784i 0.532623 + 0.922530i 0.999274 + 0.0380886i \(0.0121269\pi\)
−0.466651 + 0.884441i \(0.654540\pi\)
\(600\) 5.59104 20.8661i 0.228253 0.851853i
\(601\) 36.7529 + 21.2193i 1.49918 + 0.865554i 1.00000 0.000942846i \(-0.000300117\pi\)
0.499183 + 0.866496i \(0.333633\pi\)
\(602\) 37.2086 + 37.5880i 1.51651 + 1.53197i
\(603\) 2.09191 2.09191i 0.0851890 0.0851890i
\(604\) 0.0999508 0.0999508i 0.00406694 0.00406694i
\(605\) −0.359582 1.34198i −0.0146191 0.0545591i
\(606\) 1.80071 6.72036i 0.0731490 0.272996i
\(607\) 6.78525i 0.275405i −0.990474 0.137702i \(-0.956028\pi\)
0.990474 0.137702i \(-0.0439718\pi\)
\(608\) −1.06921 + 1.85193i −0.0433623 + 0.0751057i
\(609\) 0.0381616 7.52434i 0.00154639 0.304902i
\(610\) 6.20879i 0.251386i
\(611\) −1.49961 + 4.72893i −0.0606676 + 0.191312i
\(612\) 1.47145 0.849541i 0.0594798 0.0343407i
\(613\) −24.0356 + 24.0356i −0.970790 + 0.970790i −0.999585 0.0287955i \(-0.990833\pi\)
0.0287955 + 0.999585i \(0.490833\pi\)
\(614\) −11.2966 + 6.52211i −0.455895 + 0.263211i
\(615\) −13.3247 23.0791i −0.537304 0.930638i
\(616\) 18.2993 10.4417i 0.737301 0.420710i
\(617\) −7.13892 1.91287i −0.287402 0.0770091i 0.112238 0.993681i \(-0.464198\pi\)
−0.399640 + 0.916672i \(0.630865\pi\)
\(618\) −14.9602 14.9602i −0.601789 0.601789i
\(619\) 0.685897 + 0.183786i 0.0275685 + 0.00738697i 0.272577 0.962134i \(-0.412124\pi\)
−0.245008 + 0.969521i \(0.578791\pi\)
\(620\) 8.82625 15.2875i 0.354471 0.613961i
\(621\) 1.78122 + 3.08517i 0.0714780 + 0.123804i
\(622\) −11.0924 41.3973i −0.444764 1.65988i
\(623\) 2.12594 + 8.09817i 0.0851739 + 0.324446i
\(624\) −17.1410 0.776728i −0.686190 0.0310940i
\(625\) 6.46561 11.1988i 0.258624 0.447951i
\(626\) −15.3755 15.3755i −0.614527 0.614527i
\(627\) 2.56168 0.102304
\(628\) 0.160062 0.00638718
\(629\) −26.7391 26.7391i −1.06616 1.06616i
\(630\) 7.81204 + 13.6907i 0.311239 + 0.545452i
\(631\) 7.80744 29.1378i 0.310809 1.15996i −0.617019 0.786948i \(-0.711660\pi\)
0.927828 0.373008i \(-0.121674\pi\)
\(632\) −25.2922 + 6.77702i −1.00607 + 0.269575i
\(633\) −9.30875 5.37441i −0.369989 0.213614i
\(634\) 3.67013i 0.145760i
\(635\) −28.2980 7.58243i −1.12297 0.300900i
\(636\) −3.65775 −0.145039
\(637\) −22.5230 + 11.3892i −0.892395 + 0.451256i
\(638\) 15.1896 0.601361
\(639\) 7.00412 + 1.87675i 0.277079 + 0.0742430i
\(640\) 51.3163i 2.02845i
\(641\) −12.5033 7.21880i −0.493852 0.285126i 0.232319 0.972640i \(-0.425369\pi\)
−0.726171 + 0.687514i \(0.758702\pi\)
\(642\) 0.271667 0.0727929i 0.0107218 0.00287291i
\(643\) 4.71705 17.6043i 0.186022 0.694244i −0.808387 0.588651i \(-0.799659\pi\)
0.994409 0.105593i \(-0.0336741\pi\)
\(644\) −2.37776 4.16707i −0.0936970 0.164206i
\(645\) 33.5650 + 33.5650i 1.32162 + 1.32162i
\(646\) 4.01684 0.158040
\(647\) 37.7666 1.48476 0.742379 0.669980i \(-0.233697\pi\)
0.742379 + 0.669980i \(0.233697\pi\)
\(648\) 1.66997 + 1.66997i 0.0656025 + 0.0656025i
\(649\) −5.31939 + 9.21346i −0.208804 + 0.361660i
\(650\) −49.7956 15.7909i −1.95314 0.619368i
\(651\) −6.19409 23.5947i −0.242766 0.924749i
\(652\) 0.124384 + 0.464209i 0.00487127 + 0.0181798i
\(653\) 13.2771 + 22.9966i 0.519573 + 0.899927i 0.999741 + 0.0227503i \(0.00724227\pi\)
−0.480168 + 0.877176i \(0.659424\pi\)
\(654\) −4.11371 + 7.12516i −0.160859 + 0.278616i
\(655\) −35.2718 9.45104i −1.37818 0.369283i
\(656\) 23.8426 + 23.8426i 0.930896 + 0.930896i
\(657\) −2.08933 0.559835i −0.0815127 0.0218413i
\(658\) −5.00835 + 2.85780i −0.195246 + 0.111409i
\(659\) 2.28186 + 3.95230i 0.0888888 + 0.153960i 0.907042 0.421041i \(-0.138335\pi\)
−0.818153 + 0.575001i \(0.805002\pi\)
\(660\) −5.59072 + 3.22781i −0.217619 + 0.125642i
\(661\) 29.7654 29.7654i 1.15774 1.15774i 0.172778 0.984961i \(-0.444726\pi\)
0.984961 0.172778i \(-0.0552743\pi\)
\(662\) −35.4369 + 20.4595i −1.37730 + 0.795182i
\(663\) 5.53954 + 10.6844i 0.215138 + 0.414946i
\(664\) 5.05033i 0.195991i
\(665\) −0.0383432 + 7.56014i −0.00148689 + 0.293170i
\(666\) −8.97239 + 15.5406i −0.347673 + 0.602187i
\(667\) 10.1315i 0.392293i
\(668\) 0.318955 1.19036i 0.0123407 0.0460563i
\(669\) 1.53818 + 5.74055i 0.0594693 + 0.221942i
\(670\) −12.4631 + 12.4631i −0.481490 + 0.481490i
\(671\) −2.48472 + 2.48472i −0.0959215 + 0.0959215i
\(672\) −5.23912 5.29253i −0.202103 0.204164i
\(673\) −22.4576 12.9659i −0.865675 0.499798i 0.000233516 1.00000i \(-0.499926\pi\)
−0.865909 + 0.500202i \(0.833259\pi\)
\(674\) 13.2860 49.5839i 0.511756 1.90990i
\(675\) 4.57345 + 7.92144i 0.176032 + 0.304897i
\(676\) −0.598485 + 6.59020i −0.0230187 + 0.253469i
\(677\) 15.4910 + 8.94374i 0.595368 + 0.343736i 0.767217 0.641387i \(-0.221641\pi\)
−0.171849 + 0.985123i \(0.554974\pi\)
\(678\) −30.6245 + 8.20580i −1.17613 + 0.315142i
\(679\) −31.9363 + 8.38393i −1.22560 + 0.321746i
\(680\) 25.6779 14.8252i 0.984704 0.568519i
\(681\) 5.27657 + 19.6924i 0.202199 + 0.754616i
\(682\) 47.5666 12.7454i 1.82142 0.488047i
\(683\) 30.8734 8.27250i 1.18134 0.316538i 0.385881 0.922549i \(-0.373898\pi\)
0.795457 + 0.606010i \(0.207231\pi\)
\(684\) −0.100090 0.373541i −0.00382704 0.0142827i
\(685\) −29.6021 + 17.0908i −1.13104 + 0.653004i
\(686\) −28.2175 8.02294i −1.07735 0.306317i
\(687\) −8.29019 + 2.22135i −0.316290 + 0.0847497i
\(688\) −52.0130 30.0297i −1.98298 1.14487i
\(689\) 1.17283 25.8822i 0.0446811 0.986033i
\(690\) −10.6121 18.3807i −0.403996 0.699741i
\(691\) −3.88609 + 14.5031i −0.147834 + 0.551723i 0.851779 + 0.523901i \(0.175524\pi\)
−0.999613 + 0.0278221i \(0.991143\pi\)
\(692\) 7.59173 + 4.38309i 0.288594 + 0.166620i
\(693\) −2.35262 + 8.60528i −0.0893686 + 0.326888i
\(694\) −34.7456 + 34.7456i −1.31893 + 1.31893i
\(695\) 27.1932 27.1932i 1.03150 1.03150i
\(696\) 1.73838 + 6.48772i 0.0658931 + 0.245916i
\(697\) 6.12110 22.8443i 0.231853 0.865288i
\(698\) 0.870416i 0.0329457i
\(699\) −2.51419 + 4.35471i −0.0950955 + 0.164710i
\(700\) −6.10511 10.6993i −0.230752 0.404396i
\(701\) 17.3022i 0.653495i −0.945112 0.326747i \(-0.894047\pi\)
0.945112 0.326747i \(-0.105953\pi\)
\(702\) 4.21707 3.85145i 0.159163 0.145364i
\(703\) −7.45371 + 4.30340i −0.281122 + 0.162306i
\(704\) −12.0628 + 12.0628i −0.454636 + 0.454636i
\(705\) −4.48187 + 2.58761i −0.168797 + 0.0974550i
\(706\) 9.79802 + 16.9707i 0.368753 + 0.638700i
\(707\) 5.75940 + 10.0935i 0.216605 + 0.379604i
\(708\) 1.55134 + 0.415679i 0.0583028 + 0.0156222i
\(709\) 9.82865 + 9.82865i 0.369123 + 0.369123i 0.867157 0.498034i \(-0.165945\pi\)
−0.498034 + 0.867157i \(0.665945\pi\)
\(710\) −41.7289 11.1812i −1.56606 0.419623i
\(711\) 5.54357 9.60175i 0.207900 0.360094i
\(712\) −3.73683 6.47237i −0.140043 0.242562i
\(713\) 8.50123 + 31.7270i 0.318374 + 1.18819i
\(714\) −3.68902 + 13.4935i −0.138058 + 0.504982i
\(715\) −21.0473 40.5949i −0.787126 1.51816i
\(716\) −0.876146 + 1.51753i −0.0327431 + 0.0567128i
\(717\) 11.6568 + 11.6568i 0.435333 + 0.435333i
\(718\) 11.5342 0.430453
\(719\) 49.1299 1.83224 0.916118 0.400909i \(-0.131306\pi\)
0.916118 + 0.400909i \(0.131306\pi\)
\(720\) −12.6569 12.6569i −0.471693 0.471693i
\(721\) 35.3382 + 0.179227i 1.31606 + 0.00667476i
\(722\) −7.55274 + 28.1872i −0.281084 + 1.04902i
\(723\) −5.45299 + 1.46113i −0.202799 + 0.0543398i
\(724\) −11.4513 6.61139i −0.425583 0.245711i
\(725\) 26.0135i 0.966117i
\(726\) −0.565154 0.151433i −0.0209748 0.00562019i
\(727\) −19.4676 −0.722014 −0.361007 0.932563i \(-0.617567\pi\)
−0.361007 + 0.932563i \(0.617567\pi\)
\(728\) 16.7121 15.1084i 0.619392 0.559956i
\(729\) −1.00000 −0.0370370
\(730\) 12.4477 + 3.33536i 0.460712 + 0.123447i
\(731\) 42.1257i 1.55807i
\(732\) 0.459402 + 0.265236i 0.0169800 + 0.00980340i
\(733\) 6.78026 1.81677i 0.250435 0.0671038i −0.131418 0.991327i \(-0.541953\pi\)
0.381852 + 0.924223i \(0.375286\pi\)
\(734\) −1.76768 + 6.59709i −0.0652464 + 0.243503i
\(735\) −25.3611 7.07196i −0.935458 0.260853i
\(736\) 7.09041 + 7.09041i 0.261356 + 0.261356i
\(737\) −9.97529 −0.367444
\(738\) −11.2230 −0.413125
\(739\) 28.2471 + 28.2471i 1.03909 + 1.03909i 0.999204 + 0.0398827i \(0.0126984\pi\)
0.0398827 + 0.999204i \(0.487302\pi\)
\(740\) 10.8449 18.7839i 0.398666 0.690509i
\(741\) 2.67527 0.588464i 0.0982785 0.0216178i
\(742\) 21.4019 21.1859i 0.785690 0.777760i
\(743\) −9.49010 35.4175i −0.348158 1.29934i −0.888879 0.458141i \(-0.848515\pi\)
0.540721 0.841202i \(-0.318151\pi\)
\(744\) 10.8875 + 18.8578i 0.399157 + 0.691360i
\(745\) −28.2544 + 48.9381i −1.03516 + 1.79295i
\(746\) 26.2781 + 7.04119i 0.962109 + 0.257796i
\(747\) −1.51210 1.51210i −0.0553250 0.0553250i
\(748\) −5.53384 1.48279i −0.202337 0.0542161i
\(749\) −0.236948 + 0.405640i −0.00865788 + 0.0148218i
\(750\) −12.3531 21.3962i −0.451072 0.781279i
\(751\) 16.8445 9.72520i 0.614666 0.354877i −0.160124 0.987097i \(-0.551189\pi\)
0.774789 + 0.632220i \(0.217856\pi\)
\(752\) 4.63013 4.63013i 0.168844 0.168844i
\(753\) 9.59948 5.54226i 0.349825 0.201971i
\(754\) 15.8631 3.48932i 0.577701 0.127074i
\(755\) 1.04446i 0.0380119i
\(756\) 1.34673 + 0.00683031i 0.0489803 + 0.000248416i
\(757\) 3.02968 5.24756i 0.110116 0.190726i −0.805701 0.592322i \(-0.798211\pi\)
0.915817 + 0.401597i \(0.131545\pi\)
\(758\) 3.68944i 0.134006i
\(759\) 3.10894 11.6027i 0.112848 0.421153i
\(760\) −1.74665 6.51859i −0.0633577 0.236454i
\(761\) 21.3246 21.3246i 0.773016 0.773016i −0.205616 0.978633i \(-0.565920\pi\)
0.978633 + 0.205616i \(0.0659199\pi\)
\(762\) −8.72407 + 8.72407i −0.316040 + 0.316040i
\(763\) −3.48941 13.2919i −0.126325 0.481200i
\(764\) 1.31502 + 0.759229i 0.0475759 + 0.0274679i
\(765\) −3.24940 + 12.1269i −0.117482 + 0.438449i
\(766\) 21.8270 + 37.8055i 0.788641 + 1.36597i
\(767\) −3.43877 + 10.8440i −0.124167 + 0.391553i
\(768\) 9.95269 + 5.74619i 0.359137 + 0.207348i
\(769\) −22.1109 + 5.92460i −0.797339 + 0.213646i −0.634415 0.772992i \(-0.718759\pi\)
−0.162924 + 0.986639i \(0.552092\pi\)
\(770\) 14.0163 51.2682i 0.505114 1.84758i
\(771\) −2.08124 + 1.20160i −0.0749540 + 0.0432747i
\(772\) 0.344405 + 1.28534i 0.0123954 + 0.0462603i
\(773\) 14.5083 3.88749i 0.521827 0.139823i 0.0117156 0.999931i \(-0.496271\pi\)
0.510112 + 0.860108i \(0.329604\pi\)
\(