Properties

Label 354.2.e.c.49.1
Level 354
Weight 2
Character 354.49
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 49.1
Character \(\chi\) = 354.49
Dual form 354.2.e.c.289.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.370138 + 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(-1.72394 + 2.02958i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(-1.98744 - 1.19580i) q^{7} +(0.907575 - 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +O(q^{10})\) \(q+(-0.370138 + 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(-1.72394 + 2.02958i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(-1.98744 - 1.19580i) q^{7} +(0.907575 - 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +(-1.24733 - 2.35272i) q^{10} +(-0.294458 + 5.43097i) q^{11} +(-0.647386 - 0.762162i) q^{12} +(-5.44454 + 1.19843i) q^{13} +(1.84650 - 1.40367i) q^{14} +(-1.93327 + 1.83129i) q^{15} +(0.0541389 + 0.998533i) q^{16} +(1.46494 - 0.881427i) q^{17} +(-0.561187 + 0.827689i) q^{18} +(-0.737921 + 2.65775i) q^{19} +(2.64731 - 0.287912i) q^{20} +(-1.84650 - 1.40367i) q^{21} +(-4.93625 - 2.28375i) q^{22} +(-3.56615 - 5.25967i) q^{23} +(0.947653 - 0.319302i) q^{24} +(-0.338311 - 2.06360i) q^{25} +(0.901915 - 5.50144i) q^{26} +(0.947653 + 0.319302i) q^{27} +(0.620518 + 2.23490i) q^{28} +(3.48345 + 8.74281i) q^{29} +(-0.985649 - 2.47379i) q^{30} +(0.106667 + 0.384178i) q^{31} +(-0.947653 - 0.319302i) q^{32} +(-0.879923 + 5.36729i) q^{33} +(0.276594 + 1.68715i) q^{34} +(5.85319 - 1.97217i) q^{35} +(-0.561187 - 0.827689i) q^{36} +(3.89511 + 1.80207i) q^{37} +(-2.19586 - 1.66925i) q^{38} +(-5.54220 + 0.602750i) q^{39} +(-0.712407 + 2.56586i) q^{40} +(3.92394 - 5.78738i) q^{41} +(1.98744 - 1.19580i) q^{42} +(-0.357175 - 6.58771i) q^{43} +(3.94865 - 3.74036i) q^{44} +(-2.11993 + 1.61153i) q^{45} +(6.20608 - 1.36606i) q^{46} +(1.07001 + 1.25972i) q^{47} +(-0.0541389 + 0.998533i) q^{48} +(-0.758898 - 1.43143i) q^{49} +(2.04226 + 0.449536i) q^{50} +(1.55165 - 0.717872i) q^{51} +(4.77687 + 2.87415i) q^{52} +(-3.61401 + 6.81675i) q^{53} +(-0.647386 + 0.762162i) q^{54} +(-10.5149 - 9.96028i) q^{55} +(-2.30585 - 0.250776i) q^{56} +(-1.02095 + 2.56239i) q^{57} -9.41122 q^{58} +(-0.551812 + 7.66130i) q^{59} +2.66292 q^{60} +(-1.64746 + 4.13481i) q^{61} +(-0.396374 - 0.0431083i) q^{62} +(-1.68391 - 1.59508i) q^{63} +(0.647386 - 0.762162i) q^{64} +(6.95374 - 13.1161i) q^{65} +(-4.66040 - 2.80407i) q^{66} +(11.2287 - 5.19495i) q^{67} +(-1.66970 - 0.367528i) q^{68} +(-2.97657 - 5.61441i) q^{69} +(-0.334389 + 6.16745i) q^{70} +(3.68066 + 4.33320i) q^{71} +(0.976621 - 0.214970i) q^{72} +(-6.01203 + 4.57023i) q^{73} +(-3.11581 + 2.95145i) q^{74} +(-0.113213 - 2.08808i) q^{75} +(2.36346 - 1.42205i) q^{76} +(7.07957 - 10.4416i) q^{77} +(1.49144 - 5.37167i) q^{78} +(6.70851 - 0.729595i) q^{79} +(-2.11993 - 1.61153i) q^{80} +(0.907575 + 0.419889i) q^{81} +(3.92394 + 5.78738i) q^{82} +(14.7151 - 4.95810i) q^{83} +(0.375245 + 2.28889i) q^{84} +(-0.736548 + 4.49274i) q^{85} +(6.25204 + 2.10656i) q^{86} +(2.51777 + 9.06818i) q^{87} +(2.01316 + 5.05265i) q^{88} +(2.82032 + 7.07847i) q^{89} +(-0.712407 - 2.56586i) q^{90} +(12.2538 + 4.12877i) q^{91} +(-1.02807 + 6.27093i) q^{92} +(0.0645043 + 0.393459i) q^{93} +(-1.56630 + 0.527749i) q^{94} +(-4.12198 - 6.07947i) q^{95} +(-0.907575 - 0.419889i) q^{96} +(4.94149 + 3.75643i) q^{97} +(1.61067 - 0.175170i) q^{98} +(-1.45507 + 5.24069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{18}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.370138 + 0.928977i −0.261727 + 0.656886i
\(3\) 0.994138 + 0.108119i 0.573966 + 0.0624225i
\(4\) −0.725995 0.687699i −0.362998 0.343850i
\(5\) −1.72394 + 2.02958i −0.770969 + 0.907655i −0.997801 0.0662791i \(-0.978887\pi\)
0.226832 + 0.973934i \(0.427163\pi\)
\(6\) −0.468408 + 0.883512i −0.191227 + 0.360692i
\(7\) −1.98744 1.19580i −0.751180 0.451970i 0.0877960 0.996138i \(-0.472018\pi\)
−0.838976 + 0.544169i \(0.816845\pi\)
\(8\) 0.907575 0.419889i 0.320876 0.148453i
\(9\) 0.976621 + 0.214970i 0.325540 + 0.0716568i
\(10\) −1.24733 2.35272i −0.394442 0.743996i
\(11\) −0.294458 + 5.43097i −0.0887825 + 1.63750i 0.527202 + 0.849740i \(0.323241\pi\)
−0.615985 + 0.787758i \(0.711242\pi\)
\(12\) −0.647386 0.762162i −0.186884 0.220017i
\(13\) −5.44454 + 1.19843i −1.51004 + 0.332386i −0.891375 0.453266i \(-0.850259\pi\)
−0.618669 + 0.785652i \(0.712328\pi\)
\(14\) 1.84650 1.40367i 0.493497 0.375147i
\(15\) −1.93327 + 1.83129i −0.499168 + 0.472837i
\(16\) 0.0541389 + 0.998533i 0.0135347 + 0.249633i
\(17\) 1.46494 0.881427i 0.355301 0.213777i −0.326701 0.945128i \(-0.605937\pi\)
0.682002 + 0.731350i \(0.261109\pi\)
\(18\) −0.561187 + 0.827689i −0.132273 + 0.195088i
\(19\) −0.737921 + 2.65775i −0.169291 + 0.609730i 0.829404 + 0.558650i \(0.188680\pi\)
−0.998695 + 0.0510806i \(0.983733\pi\)
\(20\) 2.64731 0.287912i 0.591957 0.0643792i
\(21\) −1.84650 1.40367i −0.402938 0.306306i
\(22\) −4.93625 2.28375i −1.05241 0.486898i
\(23\) −3.56615 5.25967i −0.743593 1.09672i −0.991774 0.128004i \(-0.959143\pi\)
0.248181 0.968714i \(-0.420167\pi\)
\(24\) 0.947653 0.319302i 0.193439 0.0651772i
\(25\) −0.338311 2.06360i −0.0676621 0.412721i
\(26\) 0.901915 5.50144i 0.176880 1.07892i
\(27\) 0.947653 + 0.319302i 0.182376 + 0.0614496i
\(28\) 0.620518 + 2.23490i 0.117267 + 0.422357i
\(29\) 3.48345 + 8.74281i 0.646861 + 1.62350i 0.775162 + 0.631763i \(0.217668\pi\)
−0.128301 + 0.991735i \(0.540952\pi\)
\(30\) −0.985649 2.47379i −0.179954 0.451651i
\(31\) 0.106667 + 0.384178i 0.0191579 + 0.0690004i 0.972511 0.232857i \(-0.0748073\pi\)
−0.953353 + 0.301857i \(0.902393\pi\)
\(32\) −0.947653 0.319302i −0.167523 0.0564451i
\(33\) −0.879923 + 5.36729i −0.153175 + 0.934326i
\(34\) 0.276594 + 1.68715i 0.0474354 + 0.289343i
\(35\) 5.85319 1.97217i 0.989369 0.333357i
\(36\) −0.561187 0.827689i −0.0935312 0.137948i
\(37\) 3.89511 + 1.80207i 0.640353 + 0.296259i 0.713069 0.701094i \(-0.247305\pi\)
−0.0727162 + 0.997353i \(0.523167\pi\)
\(38\) −2.19586 1.66925i −0.356215 0.270788i
\(39\) −5.54220 + 0.602750i −0.887462 + 0.0965173i
\(40\) −0.712407 + 2.56586i −0.112641 + 0.405698i
\(41\) 3.92394 5.78738i 0.612817 0.903837i −0.387017 0.922073i \(-0.626495\pi\)
0.999834 + 0.0182355i \(0.00580486\pi\)
\(42\) 1.98744 1.19580i 0.306668 0.184516i
\(43\) −0.357175 6.58771i −0.0544687 1.00462i −0.890226 0.455518i \(-0.849454\pi\)
0.835758 0.549098i \(-0.185029\pi\)
\(44\) 3.94865 3.74036i 0.595281 0.563880i
\(45\) −2.11993 + 1.61153i −0.316021 + 0.240233i
\(46\) 6.20608 1.36606i 0.915037 0.201415i
\(47\) 1.07001 + 1.25972i 0.156078 + 0.183749i 0.834643 0.550791i \(-0.185674\pi\)
−0.678566 + 0.734540i \(0.737398\pi\)
\(48\) −0.0541389 + 0.998533i −0.00781428 + 0.144126i
\(49\) −0.758898 1.43143i −0.108414 0.204491i
\(50\) 2.04226 + 0.449536i 0.288819 + 0.0635740i
\(51\) 1.55165 0.717872i 0.217275 0.100522i
\(52\) 4.77687 + 2.87415i 0.662433 + 0.398573i
\(53\) −3.61401 + 6.81675i −0.496423 + 0.936352i 0.501058 + 0.865414i \(0.332944\pi\)
−0.997481 + 0.0709387i \(0.977401\pi\)
\(54\) −0.647386 + 0.762162i −0.0880981 + 0.103717i
\(55\) −10.5149 9.96028i −1.41783 1.34304i
\(56\) −2.30585 0.250776i −0.308132 0.0335114i
\(57\) −1.02095 + 2.56239i −0.135228 + 0.339397i
\(58\) −9.41122 −1.23575
\(59\) −0.551812 + 7.66130i −0.0718398 + 0.997416i
\(60\) 2.66292 0.343782
\(61\) −1.64746 + 4.13481i −0.210935 + 0.529408i −0.995934 0.0900903i \(-0.971284\pi\)
0.784998 + 0.619498i \(0.212664\pi\)
\(62\) −0.396374 0.0431083i −0.0503395 0.00547475i
\(63\) −1.68391 1.59508i −0.212153 0.200962i
\(64\) 0.647386 0.762162i 0.0809233 0.0952703i
\(65\) 6.95374 13.1161i 0.862505 1.62686i
\(66\) −4.66040 2.80407i −0.573655 0.345157i
\(67\) 11.2287 5.19495i 1.37180 0.634664i 0.410935 0.911665i \(-0.365202\pi\)
0.960870 + 0.277001i \(0.0893404\pi\)
\(68\) −1.66970 0.367528i −0.202481 0.0445694i
\(69\) −2.97657 5.61441i −0.358337 0.675895i
\(70\) −0.334389 + 6.16745i −0.0399672 + 0.737151i
\(71\) 3.68066 + 4.33320i 0.436813 + 0.514257i 0.935886 0.352304i \(-0.114602\pi\)
−0.499072 + 0.866560i \(0.666326\pi\)
\(72\) 0.976621 0.214970i 0.115096 0.0253345i
\(73\) −6.01203 + 4.57023i −0.703655 + 0.534905i −0.894695 0.446677i \(-0.852607\pi\)
0.191040 + 0.981582i \(0.438814\pi\)
\(74\) −3.11581 + 2.95145i −0.362206 + 0.343100i
\(75\) −0.113213 2.08808i −0.0130727 0.241111i
\(76\) 2.36346 1.42205i 0.271108 0.163120i
\(77\) 7.07957 10.4416i 0.806791 1.18993i
\(78\) 1.49144 5.37167i 0.168872 0.608222i
\(79\) 6.70851 0.729595i 0.754767 0.0820858i 0.277357 0.960767i \(-0.410541\pi\)
0.477409 + 0.878681i \(0.341576\pi\)
\(80\) −2.11993 1.61153i −0.237016 0.180175i
\(81\) 0.907575 + 0.419889i 0.100842 + 0.0466543i
\(82\) 3.92394 + 5.78738i 0.433327 + 0.639109i
\(83\) 14.7151 4.95810i 1.61519 0.544222i 0.640537 0.767927i \(-0.278712\pi\)
0.974657 + 0.223705i \(0.0718151\pi\)
\(84\) 0.375245 + 2.28889i 0.0409426 + 0.249739i
\(85\) −0.736548 + 4.49274i −0.0798898 + 0.487306i
\(86\) 6.25204 + 2.10656i 0.674174 + 0.227156i
\(87\) 2.51777 + 9.06818i 0.269933 + 0.972211i
\(88\) 2.01316 + 5.05265i 0.214604 + 0.538614i
\(89\) 2.82032 + 7.07847i 0.298953 + 0.750317i 0.999332 + 0.0365451i \(0.0116352\pi\)
−0.700379 + 0.713772i \(0.746985\pi\)
\(90\) −0.712407 2.56586i −0.0750943 0.270465i
\(91\) 12.2538 + 4.12877i 1.28454 + 0.432813i
\(92\) −1.02807 + 6.27093i −0.107183 + 0.653790i
\(93\) 0.0645043 + 0.393459i 0.00668878 + 0.0407998i
\(94\) −1.56630 + 0.527749i −0.161552 + 0.0544331i
\(95\) −4.12198 6.07947i −0.422907 0.623741i
\(96\) −0.907575 0.419889i −0.0926290 0.0428548i
\(97\) 4.94149 + 3.75643i 0.501733 + 0.381407i 0.825208 0.564829i \(-0.191058\pi\)
−0.323475 + 0.946237i \(0.604851\pi\)
\(98\) 1.61067 0.175170i 0.162702 0.0176949i
\(99\) −1.45507 + 5.24069i −0.146240 + 0.526709i
\(100\) −1.17353 + 1.73082i −0.117353 + 0.173082i
\(101\) −4.28845 + 2.58027i −0.426717 + 0.256747i −0.712674 0.701496i \(-0.752516\pi\)
0.285957 + 0.958242i \(0.407688\pi\)
\(102\) 0.0925597 + 1.70716i 0.00916477 + 0.169034i
\(103\) 2.16721 2.05289i 0.213541 0.202277i −0.573451 0.819240i \(-0.694396\pi\)
0.786992 + 0.616963i \(0.211637\pi\)
\(104\) −4.43812 + 3.37377i −0.435194 + 0.330826i
\(105\) 6.03210 1.32777i 0.588673 0.129577i
\(106\) −4.99492 5.88047i −0.485149 0.571162i
\(107\) −0.794548 + 14.6546i −0.0768119 + 1.41671i 0.665370 + 0.746514i \(0.268274\pi\)
−0.742182 + 0.670198i \(0.766209\pi\)
\(108\) −0.468408 0.883512i −0.0450726 0.0850160i
\(109\) −7.10337 1.56357i −0.680379 0.149763i −0.138683 0.990337i \(-0.544287\pi\)
−0.541697 + 0.840574i \(0.682218\pi\)
\(110\) 13.1448 6.08145i 1.25331 0.579844i
\(111\) 3.67744 + 2.21264i 0.349047 + 0.210015i
\(112\) 1.08645 2.04926i 0.102660 0.193637i
\(113\) 8.04279 9.46871i 0.756602 0.890741i −0.240194 0.970725i \(-0.577211\pi\)
0.996796 + 0.0799838i \(0.0254869\pi\)
\(114\) −2.00251 1.89688i −0.187552 0.177659i
\(115\) 16.8227 + 1.82958i 1.56873 + 0.170609i
\(116\) 3.48345 8.74281i 0.323430 0.811749i
\(117\) −5.57488 −0.515398
\(118\) −6.91292 3.34836i −0.636386 0.308241i
\(119\) −3.96549 −0.363516
\(120\) −0.985649 + 2.47379i −0.0899770 + 0.225825i
\(121\) −18.4732 2.00908i −1.67938 0.182643i
\(122\) −3.23135 3.06090i −0.292553 0.277121i
\(123\) 4.52667 5.32920i 0.408156 0.480518i
\(124\) 0.186760 0.352266i 0.0167715 0.0316344i
\(125\) −6.63725 3.99350i −0.593653 0.357189i
\(126\) 2.10507 0.973911i 0.187535 0.0867629i
\(127\) 12.8311 + 2.82434i 1.13858 + 0.250620i 0.743959 0.668225i \(-0.232946\pi\)
0.394619 + 0.918845i \(0.370877\pi\)
\(128\) 0.468408 + 0.883512i 0.0414018 + 0.0780922i
\(129\) 0.357175 6.58771i 0.0314475 0.580016i
\(130\) 9.61075 + 11.3146i 0.842918 + 0.992360i
\(131\) −16.9810 + 3.73781i −1.48364 + 0.326574i −0.881640 0.471923i \(-0.843560\pi\)
−0.601999 + 0.798497i \(0.705629\pi\)
\(132\) 4.32990 3.29151i 0.376870 0.286489i
\(133\) 4.64471 4.39970i 0.402747 0.381503i
\(134\) 0.669817 + 12.3541i 0.0578634 + 1.06723i
\(135\) −2.28174 + 1.37288i −0.196381 + 0.118159i
\(136\) 0.959445 1.41507i 0.0822717 0.121342i
\(137\) −5.53699 + 19.9424i −0.473057 + 1.70380i 0.213692 + 0.976901i \(0.431451\pi\)
−0.686749 + 0.726895i \(0.740963\pi\)
\(138\) 6.31740 0.687058i 0.537772 0.0584863i
\(139\) −11.6125 8.82759i −0.984959 0.748747i −0.0170006 0.999855i \(-0.505412\pi\)
−0.967959 + 0.251109i \(0.919205\pi\)
\(140\) −5.60565 2.59345i −0.473764 0.219186i
\(141\) 0.927542 + 1.36802i 0.0781131 + 0.115208i
\(142\) −5.38780 + 1.81536i −0.452134 + 0.152342i
\(143\) −4.90546 29.9220i −0.410215 2.50220i
\(144\) −0.161782 + 0.986827i −0.0134818 + 0.0822355i
\(145\) −23.7495 8.00213i −1.97229 0.664540i
\(146\) −2.02035 7.27665i −0.167206 0.602220i
\(147\) −0.599684 1.50509i −0.0494611 0.124138i
\(148\) −1.58855 3.98696i −0.130578 0.327726i
\(149\) 1.75023 + 6.30376i 0.143384 + 0.516424i 1.00000 0.000468725i \(0.000149200\pi\)
−0.856615 + 0.515955i \(0.827437\pi\)
\(150\) 1.98169 + 0.667708i 0.161804 + 0.0545181i
\(151\) 2.77600 16.9328i 0.225907 1.37797i −0.593533 0.804810i \(-0.702267\pi\)
0.819440 0.573164i \(-0.194284\pi\)
\(152\) 0.446242 + 2.72196i 0.0361950 + 0.220780i
\(153\) 1.62017 0.545900i 0.130983 0.0441334i
\(154\) 7.07957 + 10.4416i 0.570488 + 0.841406i
\(155\) −0.963606 0.445812i −0.0773987 0.0358084i
\(156\) 4.43812 + 3.37377i 0.355334 + 0.270118i
\(157\) −11.8137 + 1.28482i −0.942835 + 0.102540i −0.566608 0.823988i \(-0.691744\pi\)
−0.376228 + 0.926527i \(0.622779\pi\)
\(158\) −1.80530 + 6.50210i −0.143622 + 0.517280i
\(159\) −4.32985 + 6.38604i −0.343379 + 0.506446i
\(160\) 2.28174 1.37288i 0.180388 0.108536i
\(161\) 0.797968 + 14.7177i 0.0628887 + 1.15991i
\(162\) −0.725995 + 0.687699i −0.0570396 + 0.0540308i
\(163\) 8.64744 6.57361i 0.677319 0.514885i −0.209026 0.977910i \(-0.567029\pi\)
0.886345 + 0.463025i \(0.153236\pi\)
\(164\) −6.82874 + 1.50312i −0.533235 + 0.117374i
\(165\) −9.37640 11.0388i −0.729952 0.859366i
\(166\) −0.840667 + 15.5052i −0.0652484 + 1.20344i
\(167\) −5.33573 10.0643i −0.412891 0.778796i 0.586626 0.809858i \(-0.300456\pi\)
−0.999517 + 0.0310621i \(0.990111\pi\)
\(168\) −2.26522 0.498613i −0.174766 0.0384688i
\(169\) 16.4083 7.59128i 1.26218 0.583945i
\(170\) −3.90103 2.34717i −0.299195 0.180020i
\(171\) −1.29201 + 2.43698i −0.0988023 + 0.186361i
\(172\) −4.27106 + 5.02828i −0.325665 + 0.383403i
\(173\) −2.43671 2.30818i −0.185260 0.175488i 0.589449 0.807806i \(-0.299345\pi\)
−0.774709 + 0.632318i \(0.782104\pi\)
\(174\) −9.35605 1.01753i −0.709280 0.0771389i
\(175\) −1.79529 + 4.50583i −0.135711 + 0.340609i
\(176\) −5.43894 −0.409976
\(177\) −1.37691 + 7.55673i −0.103495 + 0.567998i
\(178\) −7.61965 −0.571117
\(179\) 1.75055 4.39354i 0.130842 0.328389i −0.848930 0.528505i \(-0.822753\pi\)
0.979772 + 0.200116i \(0.0641320\pi\)
\(180\) 2.64731 + 0.287912i 0.197319 + 0.0214597i
\(181\) −18.0220 17.0713i −1.33956 1.26890i −0.935117 0.354340i \(-0.884706\pi\)
−0.404446 0.914562i \(-0.632536\pi\)
\(182\) −8.37112 + 9.85524i −0.620508 + 0.730519i
\(183\) −2.08485 + 3.93245i −0.154117 + 0.290695i
\(184\) −5.44503 3.27616i −0.401413 0.241522i
\(185\) −10.3724 + 4.79877i −0.762593 + 0.352813i
\(186\) −0.389389 0.0857111i −0.0285514 0.00628464i
\(187\) 4.35563 + 8.21560i 0.318516 + 0.600784i
\(188\) 0.0894820 1.65040i 0.00652614 0.120368i
\(189\) −1.50158 1.76779i −0.109224 0.128588i
\(190\) 7.17339 1.57898i 0.520412 0.114551i
\(191\) −9.85835 + 7.49412i −0.713325 + 0.542256i −0.897704 0.440600i \(-0.854766\pi\)
0.184378 + 0.982855i \(0.440973\pi\)
\(192\) 0.725995 0.687699i 0.0523942 0.0496304i
\(193\) 1.49827 + 27.6339i 0.107848 + 1.98913i 0.142858 + 0.989743i \(0.454371\pi\)
−0.0350100 + 0.999387i \(0.511146\pi\)
\(194\) −5.31867 + 3.20014i −0.381858 + 0.229756i
\(195\) 8.33108 12.2874i 0.596601 0.879921i
\(196\) −0.433440 + 1.56111i −0.0309600 + 0.111508i
\(197\) −14.9738 + 1.62850i −1.06684 + 0.116026i −0.624658 0.780898i \(-0.714762\pi\)
−0.442184 + 0.896924i \(0.645796\pi\)
\(198\) −4.32990 3.29151i −0.307713 0.233917i
\(199\) 14.5743 + 6.74279i 1.03315 + 0.477984i 0.861811 0.507229i \(-0.169330\pi\)
0.171334 + 0.985213i \(0.445192\pi\)
\(200\) −1.17353 1.73082i −0.0829809 0.122388i
\(201\) 11.7246 3.95046i 0.826986 0.278644i
\(202\) −0.809696 4.93893i −0.0569700 0.347502i
\(203\) 3.53151 21.5413i 0.247864 1.51190i
\(204\) −1.62017 0.545900i −0.113435 0.0382207i
\(205\) 4.98130 + 17.9410i 0.347909 + 1.25306i
\(206\) 1.10492 + 2.77313i 0.0769833 + 0.193213i
\(207\) −2.35210 5.90332i −0.163482 0.410309i
\(208\) −1.49144 5.37167i −0.103413 0.372459i
\(209\) −14.2169 4.79022i −0.983402 0.331347i
\(210\) −0.999248 + 6.09514i −0.0689546 + 0.420605i
\(211\) 0.233347 + 1.42335i 0.0160643 + 0.0979876i 0.993642 0.112589i \(-0.0359142\pi\)
−0.977577 + 0.210576i \(0.932466\pi\)
\(212\) 7.31163 2.46357i 0.502165 0.169199i
\(213\) 3.19058 + 4.70575i 0.218615 + 0.322433i
\(214\) −13.3197 6.16234i −0.910514 0.421249i
\(215\) 13.9860 + 10.6319i 0.953839 + 0.725089i
\(216\) 0.994138 0.108119i 0.0676425 0.00735657i
\(217\) 0.247407 0.891081i 0.0167951 0.0604905i
\(218\) 4.08175 6.02013i 0.276451 0.407734i
\(219\) −6.47092 + 3.89342i −0.437264 + 0.263093i
\(220\) 0.784120 + 14.4622i 0.0528653 + 0.975044i
\(221\) −6.91961 + 6.55460i −0.465463 + 0.440910i
\(222\) −3.41666 + 2.59727i −0.229311 + 0.174318i
\(223\) 16.7358 3.68382i 1.12071 0.246687i 0.384291 0.923212i \(-0.374446\pi\)
0.736420 + 0.676525i \(0.236515\pi\)
\(224\) 1.50158 + 1.76779i 0.100328 + 0.118116i
\(225\) 0.113213 2.08808i 0.00754751 0.139206i
\(226\) 5.81926 + 10.9763i 0.387092 + 0.730132i
\(227\) −9.43035 2.07578i −0.625915 0.137774i −0.109323 0.994006i \(-0.534868\pi\)
−0.516591 + 0.856232i \(0.672799\pi\)
\(228\) 2.50336 1.15818i 0.165789 0.0767021i
\(229\) 8.54584 + 5.14186i 0.564725 + 0.339784i 0.769120 0.639105i \(-0.220695\pi\)
−0.204395 + 0.978889i \(0.565523\pi\)
\(230\) −7.92637 + 14.9507i −0.522650 + 0.985822i
\(231\) 8.16700 9.61493i 0.537349 0.632616i
\(232\) 6.83250 + 6.47209i 0.448576 + 0.424914i
\(233\) −16.1543 1.75689i −1.05830 0.115098i −0.437622 0.899159i \(-0.644179\pi\)
−0.620683 + 0.784062i \(0.713145\pi\)
\(234\) 2.06347 5.17893i 0.134894 0.338557i
\(235\) −4.40133 −0.287111
\(236\) 5.66928 5.18259i 0.369039 0.337358i
\(237\) 6.74807 0.438334
\(238\) 1.46778 3.68385i 0.0951420 0.238788i
\(239\) −8.28882 0.901464i −0.536159 0.0583108i −0.163966 0.986466i \(-0.552429\pi\)
−0.372193 + 0.928155i \(0.621394\pi\)
\(240\) −1.93327 1.83129i −0.124792 0.118209i
\(241\) −12.3975 + 14.5955i −0.798593 + 0.940177i −0.999220 0.0394912i \(-0.987426\pi\)
0.200627 + 0.979668i \(0.435702\pi\)
\(242\) 8.70401 16.4175i 0.559515 1.05536i
\(243\) 0.856857 + 0.515554i 0.0549674 + 0.0330728i
\(244\) 4.03955 1.86889i 0.258606 0.119644i
\(245\) 4.21350 + 0.927462i 0.269191 + 0.0592533i
\(246\) 3.27521 + 6.17771i 0.208820 + 0.393876i
\(247\) 0.832501 15.3546i 0.0529708 0.976989i
\(248\) 0.258120 + 0.303882i 0.0163906 + 0.0192966i
\(249\) 15.1649 3.33805i 0.961038 0.211540i
\(250\) 6.16657 4.68770i 0.390008 0.296476i
\(251\) −0.197116 + 0.186718i −0.0124419 + 0.0117855i −0.693895 0.720076i \(-0.744107\pi\)
0.681453 + 0.731862i \(0.261348\pi\)
\(252\) 0.125572 + 2.31605i 0.00791031 + 0.145897i
\(253\) 29.6152 17.8189i 1.86189 1.12026i
\(254\) −7.37304 + 10.8744i −0.462626 + 0.682322i
\(255\) −1.21798 + 4.38677i −0.0762729 + 0.274710i
\(256\) −0.994138 + 0.108119i −0.0621336 + 0.00675744i
\(257\) 19.7104 + 14.9834i 1.22950 + 0.934640i 0.999259 0.0384937i \(-0.0122559\pi\)
0.230239 + 0.973134i \(0.426049\pi\)
\(258\) 5.98763 + 2.77017i 0.372773 + 0.172463i
\(259\) −5.58637 8.23928i −0.347120 0.511964i
\(260\) −14.0683 + 4.74018i −0.872482 + 0.293973i
\(261\) 1.52257 + 9.28724i 0.0942445 + 0.574866i
\(262\) 2.81299 17.1585i 0.173787 1.06005i
\(263\) −20.1461 6.78800i −1.24226 0.418566i −0.379978 0.924996i \(-0.624068\pi\)
−0.862281 + 0.506430i \(0.830965\pi\)
\(264\) 1.45507 + 5.24069i 0.0895534 + 0.322542i
\(265\) −7.60479 19.0866i −0.467158 1.17248i
\(266\) 2.36804 + 5.94333i 0.145194 + 0.364409i
\(267\) 2.03847 + 7.34191i 0.124752 + 0.449318i
\(268\) −11.7246 3.95046i −0.716191 0.241313i
\(269\) −1.03919 + 6.33876i −0.0633603 + 0.386481i 0.936041 + 0.351890i \(0.114461\pi\)
−0.999402 + 0.0345906i \(0.988987\pi\)
\(270\) −0.430813 2.62784i −0.0262184 0.159925i
\(271\) 13.1371 4.42639i 0.798020 0.268884i 0.109391 0.993999i \(-0.465110\pi\)
0.688628 + 0.725115i \(0.258213\pi\)
\(272\) 0.959445 + 1.41507i 0.0581749 + 0.0858015i
\(273\) 11.7355 + 5.42943i 0.710266 + 0.328604i
\(274\) −16.4766 12.5252i −0.995387 0.756674i
\(275\) 11.3070 1.22971i 0.681837 0.0741542i
\(276\) −1.70005 + 6.12302i −0.102331 + 0.368563i
\(277\) 1.13113 1.66829i 0.0679629 0.100238i −0.792189 0.610276i \(-0.791058\pi\)
0.860152 + 0.510038i \(0.170369\pi\)
\(278\) 12.4989 7.52031i 0.749632 0.451038i
\(279\) 0.0215858 + 0.398126i 0.00129231 + 0.0238352i
\(280\) 4.48412 4.24758i 0.267977 0.253841i
\(281\) 18.1645 13.8083i 1.08361 0.823735i 0.0984057 0.995146i \(-0.468626\pi\)
0.985200 + 0.171411i \(0.0548326\pi\)
\(282\) −1.61418 + 0.355308i −0.0961230 + 0.0211583i
\(283\) −13.2387 15.5858i −0.786958 0.926479i 0.211748 0.977324i \(-0.432084\pi\)
−0.998707 + 0.0508453i \(0.983808\pi\)
\(284\) 0.307802 5.67707i 0.0182647 0.336872i
\(285\) −3.44051 6.48950i −0.203798 0.384405i
\(286\) 29.6125 + 6.51821i 1.75103 + 0.385430i
\(287\) −14.7191 + 6.80980i −0.868843 + 0.401970i
\(288\) −0.856857 0.515554i −0.0504908 0.0303793i
\(289\) −6.59380 + 12.4372i −0.387871 + 0.731601i
\(290\) 16.2244 19.1008i 0.952728 1.12164i
\(291\) 4.50639 + 4.26868i 0.264169 + 0.250234i
\(292\) 7.50765 + 0.816506i 0.439352 + 0.0477824i
\(293\) 0.463065 1.16220i 0.0270525 0.0678967i −0.914830 0.403839i \(-0.867675\pi\)
0.941882 + 0.335943i \(0.109055\pi\)
\(294\) 1.62016 0.0944898
\(295\) −14.5979 14.3276i −0.849923 0.834183i
\(296\) 4.29178 0.249455
\(297\) −2.01316 + 5.05265i −0.116815 + 0.293185i
\(298\) −6.50387 0.707339i −0.376759 0.0409750i
\(299\) 25.7194 + 24.3627i 1.48739 + 1.40893i
\(300\) −1.35378 + 1.59380i −0.0781607 + 0.0920179i
\(301\) −7.16772 + 13.5198i −0.413141 + 0.779266i
\(302\) 14.7027 + 8.84632i 0.846045 + 0.509049i
\(303\) −4.54229 + 2.10149i −0.260947 + 0.120727i
\(304\) −2.69380 0.592951i −0.154500 0.0340081i
\(305\) −5.55179 10.4718i −0.317895 0.599613i
\(306\) −0.0925597 + 1.70716i −0.00529128 + 0.0975920i
\(307\) 5.47426 + 6.44480i 0.312433 + 0.367824i 0.895856 0.444344i \(-0.146563\pi\)
−0.583424 + 0.812168i \(0.698287\pi\)
\(308\) −12.3204 + 2.71193i −0.702020 + 0.154526i
\(309\) 2.37646 1.80654i 0.135192 0.102770i
\(310\) 0.770816 0.730156i 0.0437794 0.0414701i
\(311\) 0.531326 + 9.79972i 0.0301287 + 0.555691i 0.974163 + 0.225845i \(0.0725142\pi\)
−0.944035 + 0.329847i \(0.893003\pi\)
\(312\) −4.77687 + 2.87415i −0.270437 + 0.162717i
\(313\) 11.2649 16.6145i 0.636731 0.939107i −0.363242 0.931695i \(-0.618330\pi\)
0.999973 0.00741253i \(-0.00235950\pi\)
\(314\) 3.17913 11.4502i 0.179409 0.646172i
\(315\) 6.14030 0.667798i 0.345967 0.0376261i
\(316\) −5.37209 4.08376i −0.302204 0.229729i
\(317\) 12.8334 + 5.93738i 0.720798 + 0.333477i 0.745763 0.666212i \(-0.232085\pi\)
−0.0249646 + 0.999688i \(0.507947\pi\)
\(318\) −4.32985 6.38604i −0.242806 0.358112i
\(319\) −48.5076 + 16.3441i −2.71590 + 0.915095i
\(320\) 0.430813 + 2.62784i 0.0240832 + 0.146901i
\(321\) −2.37433 + 14.4828i −0.132522 + 0.808349i
\(322\) −13.9677 4.70627i −0.778390 0.262270i
\(323\) 1.26160 + 4.54388i 0.0701974 + 0.252828i
\(324\) −0.370138 0.928977i −0.0205632 0.0516098i
\(325\) 4.31504 + 10.8299i 0.239355 + 0.600736i
\(326\) 2.90598 + 10.4664i 0.160948 + 0.579681i
\(327\) −6.89267 2.32241i −0.381166 0.128430i
\(328\) 1.13121 6.90011i 0.0624609 0.380995i
\(329\) −0.620213 3.78313i −0.0341934 0.208571i
\(330\) 13.7253 4.62460i 0.755554 0.254576i
\(331\) 9.92394 + 14.6367i 0.545469 + 0.804507i 0.996103 0.0882024i \(-0.0281122\pi\)
−0.450634 + 0.892709i \(0.648802\pi\)
\(332\) −14.0928 6.52002i −0.773443 0.357833i
\(333\) 3.41666 + 2.59727i 0.187232 + 0.142330i
\(334\) 11.3244 1.23161i 0.619645 0.0673904i
\(335\) −8.81404 + 31.7453i −0.481562 + 1.73443i
\(336\) 1.30164 1.91978i 0.0710105 0.104733i
\(337\) 13.6277 8.19952i 0.742349 0.446656i −0.0934980 0.995619i \(-0.529805\pi\)
0.835847 + 0.548963i \(0.184977\pi\)
\(338\) 0.978791 + 18.0527i 0.0532392 + 0.981940i
\(339\) 9.01939 8.54362i 0.489866 0.464026i
\(340\) 3.62439 2.75519i 0.196560 0.149421i
\(341\) −2.11787 + 0.466178i −0.114689 + 0.0252449i
\(342\) −1.78568 2.10227i −0.0965585 0.113677i
\(343\) −1.08245 + 19.9647i −0.0584470 + 1.07799i
\(344\) −3.09027 5.82887i −0.166616 0.314272i
\(345\) 16.5263 + 3.63771i 0.889746 + 0.195848i
\(346\) 3.04616 1.40931i 0.163763 0.0757647i
\(347\) 28.9817 + 17.4377i 1.55582 + 0.936105i 0.994064 + 0.108800i \(0.0347009\pi\)
0.561754 + 0.827304i \(0.310127\pi\)
\(348\) 4.40830 8.31493i 0.236309 0.445727i
\(349\) −1.35287 + 1.59272i −0.0724174 + 0.0852564i −0.797178 0.603745i \(-0.793675\pi\)
0.724760 + 0.689001i \(0.241950\pi\)
\(350\) −3.52131 3.33556i −0.188222 0.178293i
\(351\) −5.54220 0.602750i −0.295821 0.0321724i
\(352\) 2.01316 5.05265i 0.107302 0.269307i
\(353\) −10.8124 −0.575486 −0.287743 0.957708i \(-0.592905\pi\)
−0.287743 + 0.957708i \(0.592905\pi\)
\(354\) −6.51038 4.07615i −0.346023 0.216645i
\(355\) −15.1398 −0.803537
\(356\) 2.82032 7.07847i 0.149477 0.375158i
\(357\) −3.94224 0.428745i −0.208646 0.0226916i
\(358\) 3.43356 + 3.25244i 0.181469 + 0.171897i
\(359\) 12.2450 14.4159i 0.646265 0.760842i −0.337300 0.941397i \(-0.609514\pi\)
0.983565 + 0.180556i \(0.0577896\pi\)
\(360\) −1.24733 + 2.35272i −0.0657403 + 0.123999i
\(361\) 9.76117 + 5.87310i 0.513746 + 0.309111i
\(362\) 22.5295 10.4232i 1.18412 0.547834i
\(363\) −18.1477 3.99460i −0.952505 0.209662i
\(364\) −6.05682 11.4244i −0.317464 0.598800i
\(365\) 1.08874 20.0807i 0.0569874 1.05107i
\(366\) −2.88147 3.39233i −0.150617 0.177320i
\(367\) 26.1584 5.75790i 1.36546 0.300560i 0.529014 0.848613i \(-0.322562\pi\)
0.836444 + 0.548053i \(0.184631\pi\)
\(368\) 5.05889 3.84567i 0.263713 0.200469i
\(369\) 5.07632 4.80854i 0.264263 0.250323i
\(370\) −0.618736 11.4119i −0.0321665 0.593277i
\(371\) 15.3341 9.22621i 0.796106 0.479001i
\(372\) 0.223752 0.330009i 0.0116010 0.0171102i
\(373\) 0.478448 1.72321i 0.0247731 0.0892246i −0.950130 0.311854i \(-0.899050\pi\)
0.974903 + 0.222629i \(0.0714639\pi\)
\(374\) −9.24429 + 1.00538i −0.478011 + 0.0519868i
\(375\) −6.16657 4.68770i −0.318440 0.242072i
\(376\) 1.50006 + 0.694002i 0.0773597 + 0.0357904i
\(377\) −29.4435 43.4259i −1.51642 2.23655i
\(378\) 2.19803 0.740603i 0.113055 0.0380925i
\(379\) −1.67058 10.1901i −0.0858119 0.523429i −0.994395 0.105726i \(-0.966283\pi\)
0.908583 0.417703i \(-0.137165\pi\)
\(380\) −1.18831 + 7.24835i −0.0609589 + 0.371833i
\(381\) 12.4505 + 4.19508i 0.637861 + 0.214920i
\(382\) −3.31291 11.9320i −0.169503 0.610496i
\(383\) −0.767703 1.92679i −0.0392278 0.0984543i 0.908058 0.418845i \(-0.137565\pi\)
−0.947285 + 0.320391i \(0.896186\pi\)
\(384\) 0.370138 + 0.928977i 0.0188885 + 0.0474066i
\(385\) 8.98726 + 32.3692i 0.458033 + 1.64969i
\(386\) −26.2258 8.83650i −1.33486 0.449766i
\(387\) 1.06734 6.51048i 0.0542559 0.330946i
\(388\) −1.00421 6.12541i −0.0509810 0.310971i
\(389\) 16.2786 5.48491i 0.825360 0.278096i 0.125244 0.992126i \(-0.460028\pi\)
0.700115 + 0.714030i \(0.253132\pi\)
\(390\) 8.33108 + 12.2874i 0.421861 + 0.622198i
\(391\) −9.86022 4.56182i −0.498653 0.230701i
\(392\) −1.28980 0.980481i −0.0651448 0.0495218i
\(393\) −17.2856 + 1.87992i −0.871944 + 0.0948296i
\(394\) 4.02955 14.5131i 0.203006 0.731161i
\(395\) −10.0843 + 14.8732i −0.507396 + 0.748353i
\(396\) 4.66040 2.80407i 0.234194 0.140910i
\(397\) −0.902865 16.6524i −0.0453135 0.835759i −0.929545 0.368709i \(-0.879800\pi\)
0.884231 0.467049i \(-0.154683\pi\)
\(398\) −11.6584 + 11.0434i −0.584383 + 0.553557i
\(399\) 5.09317 3.87173i 0.254978 0.193829i
\(400\) 2.04226 0.449536i 0.102113 0.0224768i
\(401\) −2.77454 3.26644i −0.138554 0.163118i 0.688509 0.725228i \(-0.258266\pi\)
−0.827063 + 0.562110i \(0.809990\pi\)
\(402\) −0.669817 + 12.3541i −0.0334074 + 0.616164i
\(403\) −1.04116 1.96384i −0.0518640 0.0978258i
\(404\) 4.88785 + 1.07590i 0.243179 + 0.0535278i
\(405\) −2.41680 + 1.11813i −0.120092 + 0.0555604i
\(406\) 18.7042 + 11.2539i 0.928273 + 0.558524i
\(407\) −10.9339 + 20.6236i −0.541975 + 1.02227i
\(408\) 1.10682 1.30305i 0.0547956 0.0645104i
\(409\) 22.2977 + 21.1215i 1.10255 + 1.04439i 0.998760 + 0.0497905i \(0.0158553\pi\)
0.103789 + 0.994599i \(0.466903\pi\)
\(410\) −18.5106 2.01315i −0.914172 0.0994222i
\(411\) −7.66068 + 19.2269i −0.377874 + 0.948391i
\(412\) −2.98515 −0.147068
\(413\) 10.2581 14.5665i 0.504767 0.716770i
\(414\) 6.35465 0.312314
\(415\) −15.3051 + 38.4129i −0.751299 + 1.88562i
\(416\) 5.54220 + 0.602750i 0.271729 + 0.0295523i
\(417\) −10.5900 10.0314i −0.518594 0.491239i
\(418\) 9.71221 11.4341i 0.475040 0.559260i
\(419\) 1.25151 2.36061i 0.0611405 0.115323i −0.851058 0.525071i \(-0.824039\pi\)
0.912199 + 0.409748i \(0.134383\pi\)
\(420\) −5.29238 3.18432i −0.258242 0.155379i
\(421\) 18.1396 8.39227i 0.884069 0.409014i 0.0753145 0.997160i \(-0.476004\pi\)
0.808755 + 0.588146i \(0.200142\pi\)
\(422\) −1.40863 0.310063i −0.0685711 0.0150936i
\(423\) 0.774196 + 1.46029i 0.0376427 + 0.0710016i
\(424\) −0.417709 + 7.70420i −0.0202858 + 0.374149i
\(425\) −2.31452 2.72487i −0.112271 0.132175i
\(426\) −5.55249 + 1.22219i −0.269019 + 0.0592155i
\(427\) 8.21862 6.24763i 0.397727 0.302344i
\(428\) 10.6548 10.0928i 0.515019 0.487851i
\(429\) −1.64157 30.2770i −0.0792557 1.46179i
\(430\) −15.0535 + 9.05742i −0.725946 + 0.436787i
\(431\) 5.25477 7.75021i 0.253114 0.373315i −0.679810 0.733388i \(-0.737938\pi\)
0.932924 + 0.360073i \(0.117248\pi\)
\(432\) −0.267528 + 0.963550i −0.0128715 + 0.0463588i
\(433\) −15.3095 + 1.66500i −0.735725 + 0.0800150i −0.468307 0.883566i \(-0.655136\pi\)
−0.267418 + 0.963581i \(0.586170\pi\)
\(434\) 0.736219 + 0.559659i 0.0353396 + 0.0268645i
\(435\) −22.7451 10.5230i −1.09054 0.504539i
\(436\) 4.08175 + 6.02013i 0.195480 + 0.288312i
\(437\) 16.6104 5.59671i 0.794585 0.267727i
\(438\) −1.22177 7.45244i −0.0583782 0.356091i
\(439\) −2.07899 + 12.6813i −0.0992249 + 0.605245i 0.889667 + 0.456610i \(0.150936\pi\)
−0.988892 + 0.148635i \(0.952512\pi\)
\(440\) −13.7253 4.62460i −0.654329 0.220469i
\(441\) −0.433440 1.56111i −0.0206400 0.0743385i
\(442\) −3.52786 8.85426i −0.167803 0.421154i
\(443\) −9.09342 22.8228i −0.432041 1.08434i −0.970374 0.241609i \(-0.922325\pi\)
0.538332 0.842733i \(-0.319055\pi\)
\(444\) −1.14817 4.13534i −0.0544899 0.196255i
\(445\) −19.2284 6.47879i −0.911512 0.307124i
\(446\) −2.77236 + 16.9107i −0.131275 + 0.800744i
\(447\) 1.05841 + 6.45604i 0.0500613 + 0.305360i
\(448\) −2.19803 + 0.740603i −0.103847 + 0.0349902i
\(449\) 13.3714 + 19.7213i 0.631034 + 0.930706i 0.999999 + 0.00126275i \(0.000401946\pi\)
−0.368965 + 0.929443i \(0.620288\pi\)
\(450\) 1.89788 + 0.878052i 0.0894668 + 0.0413918i
\(451\) 30.2756 + 23.0149i 1.42562 + 1.08373i
\(452\) −12.3507 + 1.34321i −0.580926 + 0.0631795i
\(453\) 4.59048 16.5334i 0.215680 0.776808i
\(454\) 5.41888 7.99226i 0.254321 0.375095i
\(455\) −29.5044 + 17.7522i −1.38319 + 0.832236i
\(456\) 0.149331 + 2.75425i 0.00699306 + 0.128979i
\(457\) −26.9020 + 25.4829i −1.25842 + 1.19204i −0.286150 + 0.958185i \(0.592376\pi\)
−0.972271 + 0.233855i \(0.924866\pi\)
\(458\) −7.93981 + 6.03569i −0.371003 + 0.282029i
\(459\) 1.66970 0.367528i 0.0779349 0.0171548i
\(460\) −10.9550 12.8973i −0.510781 0.601337i
\(461\) −0.211159 + 3.89461i −0.00983468 + 0.181390i 0.989489 + 0.144610i \(0.0461928\pi\)
−0.999323 + 0.0367798i \(0.988290\pi\)
\(462\) 5.90913 + 11.1458i 0.274918 + 0.518550i
\(463\) −5.28414 1.16313i −0.245575 0.0540551i 0.0904771 0.995899i \(-0.471161\pi\)
−0.336052 + 0.941843i \(0.609092\pi\)
\(464\) −8.54139 + 3.95167i −0.396524 + 0.183452i
\(465\) −0.909757 0.547382i −0.0421889 0.0253842i
\(466\) 7.61144 14.3567i 0.352593 0.665061i
\(467\) 13.4730 15.8616i 0.623455 0.733988i −0.356260 0.934387i \(-0.615948\pi\)
0.979714 + 0.200399i \(0.0642240\pi\)
\(468\) 4.04734 + 3.83384i 0.187088 + 0.177219i
\(469\) −28.5284 3.10266i −1.31732 0.143267i
\(470\) 1.62910 4.08874i 0.0751449 0.188599i
\(471\) −11.8834 −0.547556
\(472\) 2.71608 + 7.18491i 0.125018 + 0.330712i
\(473\) 35.8828 1.64989
\(474\) −2.49772 + 6.26880i −0.114724 + 0.287936i
\(475\) 5.73419 + 0.623631i 0.263103 + 0.0286142i
\(476\) 2.87893 + 2.72706i 0.131955 + 0.124995i
\(477\) −4.99492 + 5.88047i −0.228702 + 0.269248i
\(478\) 3.90545 7.36646i 0.178631 0.336934i
\(479\) 34.6558 + 20.8517i 1.58346 + 0.952738i 0.988882 + 0.148701i \(0.0475093\pi\)
0.594580 + 0.804036i \(0.297318\pi\)
\(480\) 2.41680 1.11813i 0.110311 0.0510355i
\(481\) −23.3668 5.14341i −1.06543 0.234519i
\(482\) −8.97006 16.9193i −0.408575 0.770654i
\(483\) −0.797968 + 14.7177i −0.0363088 + 0.669676i
\(484\) 12.0298 + 14.1626i 0.546809 + 0.643753i
\(485\) −16.1428 + 3.55330i −0.733006 + 0.161347i
\(486\) −0.796093 + 0.605174i −0.0361115 + 0.0274513i
\(487\) 5.90926 5.59755i 0.267774 0.253649i −0.542017 0.840368i \(-0.682339\pi\)
0.809791 + 0.586718i \(0.199580\pi\)
\(488\) 0.240968 + 4.44440i 0.0109081 + 0.201188i
\(489\) 9.30748 5.60012i 0.420899 0.253246i
\(490\) −2.42117 + 3.57095i −0.109377 + 0.161319i
\(491\) 5.46844 19.6955i 0.246787 0.888847i −0.731543 0.681796i \(-0.761199\pi\)
0.978330 0.207052i \(-0.0663869\pi\)
\(492\) −6.95123 + 0.755992i −0.313386 + 0.0340827i
\(493\) 12.8092 + 9.73730i 0.576897 + 0.438546i
\(494\) 13.9559 + 6.45669i 0.627906 + 0.290500i
\(495\) −8.12794 11.9878i −0.365324 0.538812i
\(496\) −0.377840 + 0.127309i −0.0169655 + 0.00571635i
\(497\) −2.13342 13.0133i −0.0956970 0.583726i
\(498\) −2.51214 + 15.3234i −0.112572 + 0.686658i
\(499\) 0.383449 + 0.129199i 0.0171655 + 0.00578374i 0.327871 0.944722i \(-0.393669\pi\)
−0.310706 + 0.950506i \(0.600565\pi\)
\(500\) 2.07228 + 7.46369i 0.0926754 + 0.333786i
\(501\) −4.21632 10.5822i −0.188371 0.472776i
\(502\) −0.100497 0.252228i −0.00448539 0.0112575i
\(503\) −4.31685 15.5479i −0.192479 0.693246i −0.995284 0.0970047i \(-0.969074\pi\)
0.802805 0.596242i \(-0.203340\pi\)
\(504\) −2.19803 0.740603i −0.0979081 0.0329891i
\(505\) 2.15616 13.1520i 0.0959477 0.585255i
\(506\) 5.59160 + 34.1073i 0.248577 + 1.51625i
\(507\) 17.1329 5.77273i 0.760897 0.256376i
\(508\) −7.37304 10.8744i −0.327126 0.482474i
\(509\) 14.0438 + 6.49734i 0.622479 + 0.287990i 0.705666 0.708544i \(-0.250648\pi\)
−0.0831870 + 0.996534i \(0.526510\pi\)
\(510\) −3.62439 2.75519i −0.160491 0.122002i
\(511\) 17.4136 1.89384i 0.770333 0.0837787i
\(512\) 0.267528 0.963550i 0.0118232 0.0425833i
\(513\) −1.54792 + 2.28301i −0.0683422 + 0.100797i
\(514\) −21.2148 + 12.7645i −0.935745 + 0.563019i
\(515\) 0.430362 + 7.93756i 0.0189640 + 0.349771i
\(516\) −4.78967 + 4.53702i −0.210854 + 0.199731i
\(517\) −7.15656 + 5.44028i −0.314745 + 0.239263i
\(518\) 9.72183 2.13994i 0.427152 0.0940234i
\(519\) −2.17287 2.55810i −0.0953785 0.112288i
\(520\) 0.803717 14.8237i 0.0352453 0.650062i
\(521\) −9.59703 18.1019i −0.420453 0.793059i 0.579303 0.815112i \(-0.303325\pi\)
−0.999757 + 0.0220528i \(0.992980\pi\)
\(522\) −9.19119 2.02313i −0.402288 0.0885502i
\(523\) 1.80457 0.834882i 0.0789082 0.0365068i −0.380038 0.924971i \(-0.624089\pi\)
0.458946 + 0.888464i \(0.348227\pi\)
\(524\) 14.8986 + 8.96421i 0.650850 + 0.391603i
\(525\) −2.27193 + 4.28531i −0.0991551 + 0.187026i
\(526\) 13.7627 16.2027i 0.600083 0.706472i
\(527\) 0.494885 + 0.468780i 0.0215575 + 0.0204204i
\(528\) −5.40706 0.588053i −0.235312 0.0255917i
\(529\) −6.43357 + 16.1471i −0.279721 + 0.702046i
\(530\) 20.5458 0.892453
\(531\) −2.18586 + 7.36356i −0.0948584 + 0.319551i
\(532\) −6.39771 −0.277376
\(533\) −14.4283 + 36.2122i −0.624957 + 1.56853i
\(534\) −7.57498 0.823829i −0.327801 0.0356506i
\(535\) −28.3729 26.8762i −1.22667 1.16196i
\(536\) 8.00959 9.42962i 0.345962 0.407298i
\(537\) 2.21531 4.17852i 0.0955978 0.180316i
\(538\) −5.50392 3.31160i −0.237291 0.142773i
\(539\) 7.99753 3.70005i 0.344478 0.159373i
\(540\) 2.60066 + 0.572449i 0.111915 + 0.0246343i
\(541\) 16.4482 + 31.0245i 0.707162 + 1.33385i 0.933068 + 0.359700i \(0.117121\pi\)
−0.225906 + 0.974149i \(0.572534\pi\)
\(542\) −0.750513 + 13.8424i −0.0322373 + 0.594582i
\(543\) −16.0706 18.9198i −0.689655 0.811925i
\(544\) −1.66970 + 0.367528i −0.0715877 + 0.0157577i
\(545\) 15.4192 11.7213i 0.660484 0.502087i
\(546\) −9.38758 + 8.89239i −0.401751 + 0.380559i
\(547\) 1.42702 + 26.3199i 0.0610151 + 1.12536i 0.855408 + 0.517954i \(0.173306\pi\)
−0.794393 + 0.607404i \(0.792211\pi\)
\(548\) 17.7342 10.6703i 0.757568 0.455814i
\(549\) −2.49780 + 3.68398i −0.106604 + 0.157229i
\(550\) −3.04277 + 10.9591i −0.129744 + 0.467297i
\(551\) −25.8067 + 2.80665i −1.09940 + 0.119567i
\(552\) −5.05889 3.84567i −0.215321 0.163683i
\(553\) −14.2052 6.57202i −0.604066 0.279471i
\(554\) 1.13113 + 1.66829i 0.0480570 + 0.0708788i
\(555\) −10.8304 + 3.64919i −0.459726 + 0.154900i
\(556\) 2.35989 + 14.3947i 0.100082 + 0.610471i
\(557\) 0.299265 1.82544i 0.0126803 0.0773462i −0.979728 0.200331i \(-0.935798\pi\)
0.992409 + 0.122985i \(0.0392466\pi\)
\(558\) −0.377840 0.127309i −0.0159952 0.00538942i
\(559\) 9.83959 + 35.4390i 0.416170 + 1.49891i
\(560\) 2.28616 + 5.73783i 0.0966079 + 0.242468i
\(561\) 3.44184 + 8.63836i 0.145315 + 0.364712i
\(562\) 6.10422 + 21.9854i 0.257491 + 0.927399i
\(563\) −28.8114 9.70768i −1.21425 0.409130i −0.361960 0.932193i \(-0.617892\pi\)
−0.852294 + 0.523064i \(0.824789\pi\)
\(564\) 0.267397 1.63105i 0.0112594 0.0686795i
\(565\) 5.35220 + 32.6469i 0.225169 + 1.37347i
\(566\) 19.3790 6.52954i 0.814559 0.274457i
\(567\) −1.30164 1.91978i −0.0546639 0.0806232i
\(568\) 5.15994 + 2.38724i 0.216506 + 0.100166i
\(569\) −24.5524 18.6642i −1.02929 0.782445i −0.0529292 0.998598i \(-0.516856\pi\)
−0.976359 + 0.216153i \(0.930649\pi\)
\(570\) 7.30206 0.794147i 0.305850 0.0332631i
\(571\) −5.11009 + 18.4049i −0.213851 + 0.770221i 0.776318 + 0.630342i \(0.217085\pi\)
−0.990169 + 0.139879i \(0.955329\pi\)
\(572\) −17.0160 + 25.0967i −0.711475 + 1.04935i
\(573\) −10.6108 + 6.38432i −0.443273 + 0.266709i
\(574\) −0.878029 16.1943i −0.0366482 0.675937i
\(575\) −9.64741 + 9.13852i −0.402325 + 0.381102i
\(576\) 0.796093 0.605174i 0.0331705 0.0252156i
\(577\) −28.8023 + 6.33987i −1.19906 + 0.263932i −0.769226 0.638977i \(-0.779358\pi\)
−0.429831 + 0.902909i \(0.641427\pi\)
\(578\) −9.11328 10.7290i −0.379062 0.446267i
\(579\) −1.49827 + 27.6339i −0.0622658 + 1.14842i
\(580\) 11.7389 + 22.1420i 0.487433 + 0.919396i
\(581\) −35.1743 7.74244i −1.45927 0.321210i
\(582\) −5.63348 + 2.60633i −0.233515 + 0.108036i
\(583\) −35.9573 21.6348i −1.48920 0.896023i
\(584\) −3.53738 + 6.67221i −0.146378 + 0.276098i
\(585\) 9.61075 11.3146i 0.397356 0.467803i
\(586\) 0.908263 + 0.860353i 0.0375200 + 0.0355408i
\(587\) −8.31959 0.904810i −0.343386 0.0373455i −0.0651988 0.997872i \(-0.520768\pi\)
−0.278188 + 0.960527i \(0.589734\pi\)
\(588\) −0.599684 + 1.50509i −0.0247306 + 0.0620690i
\(589\) −1.09976 −0.0453149
\(590\) 18.7132 8.25795i 0.770411 0.339974i
\(591\) −15.0621 −0.619574
\(592\) −1.58855 + 3.98696i −0.0652891 + 0.163863i
\(593\) 9.57675 + 1.04153i 0.393270 + 0.0427707i 0.302618 0.953112i \(-0.402139\pi\)
0.0906520 + 0.995883i \(0.471105\pi\)
\(594\) −3.94865 3.74036i −0.162015 0.153469i
\(595\) 6.83626 8.04827i 0.280259 0.329947i
\(596\) 3.06443 5.78013i 0.125524 0.236764i
\(597\) 13.7598 + 8.27903i 0.563153 + 0.338838i
\(598\) −32.1521 + 14.8752i −1.31480 + 0.608290i
\(599\) 45.7440 + 10.0690i 1.86905 + 0.411409i 0.996958 0.0779349i \(-0.0248326\pi\)
0.872091 + 0.489344i \(0.162764\pi\)
\(600\) −0.979513 1.84756i −0.0399885 0.0754262i
\(601\) 1.43869 26.5350i 0.0586852 1.08239i −0.809811 0.586690i \(-0.800431\pi\)
0.868497 0.495695i \(-0.165087\pi\)
\(602\) −9.90650 11.6628i −0.403759 0.475341i
\(603\) 12.0829 2.65966i 0.492055 0.108310i
\(604\) −13.6601 + 10.3841i −0.555820 + 0.422523i
\(605\) 35.9242 34.0292i 1.46053 1.38348i
\(606\) −0.270958 4.99752i −0.0110069 0.203010i
\(607\) −12.6099 + 7.58710i −0.511819 + 0.307951i −0.747933 0.663774i \(-0.768954\pi\)
0.236114 + 0.971725i \(0.424126\pi\)
\(608\) 1.54792 2.28301i 0.0627763 0.0925882i
\(609\) 5.83983 21.0332i 0.236642 0.852307i
\(610\) 11.7830 1.28148i 0.477079 0.0518855i
\(611\) −7.33542 5.57624i −0.296759 0.225591i
\(612\) −1.55165 0.717872i −0.0627219 0.0290182i
\(613\) −4.61311 6.80383i −0.186322 0.274804i 0.723044 0.690802i \(-0.242743\pi\)
−0.909365 + 0.415998i \(0.863432\pi\)
\(614\) −8.01330 + 2.70000i −0.323391 + 0.108963i
\(615\) 3.01234 + 18.3744i 0.121469 + 0.740929i
\(616\) 2.04094 12.4492i 0.0822316 0.501591i
\(617\) 18.4620 + 6.22057i 0.743252 + 0.250431i 0.665351 0.746530i \(-0.268282\pi\)
0.0779008 + 0.996961i \(0.475178\pi\)
\(618\) 0.798612 + 2.87634i 0.0321249 + 0.115703i
\(619\) −14.0379 35.2324i −0.564229 1.41611i −0.883493 0.468443i \(-0.844815\pi\)
0.319264 0.947666i \(-0.396564\pi\)
\(620\) 0.392989 + 0.986328i 0.0157828 + 0.0396119i
\(621\) −1.70005 6.12302i −0.0682206 0.245708i
\(622\) −9.30038 3.13366i −0.372911 0.125648i
\(623\) 2.85923 17.4405i 0.114553 0.698741i
\(624\) −0.901915 5.50144i −0.0361055 0.220234i
\(625\) 29.4558 9.92480i 1.17823 0.396992i
\(626\) 11.2649 + 16.6145i 0.450237 + 0.664049i
\(627\) −13.6156 6.29926i −0.543755 0.251568i
\(628\) 9.46025 + 7.19150i 0.377505 + 0.286972i
\(629\) 7.29451 0.793326i 0.290851 0.0316320i
\(630\) −1.65239 + 5.95137i −0.0658328 + 0.237108i
\(631\) −10.6068 + 15.6439i −0.422250 + 0.622772i −0.978007 0.208573i \(-0.933118\pi\)
0.555757 + 0.831345i \(0.312428\pi\)
\(632\) 5.78213 3.47899i 0.230001 0.138387i
\(633\) 0.0780874 + 1.44024i 0.00310370 + 0.0572443i
\(634\) −10.2658 + 9.72432i −0.407709 + 0.386202i
\(635\) −27.8523 + 21.1728i −1.10529 + 0.840216i
\(636\) 7.53513 1.65861i 0.298787 0.0657680i
\(637\) 5.84733 + 6.88401i 0.231680 + 0.272754i
\(638\) 2.77121 51.1120i 0.109713 2.02354i
\(639\) 2.66309 + 5.02313i 0.105350 + 0.198712i
\(640\) −2.60066 0.572449i −0.102800 0.0226281i
\(641\) 41.1466 19.0364i 1.62519 0.751894i 0.625591 0.780151i \(-0.284858\pi\)
0.999601 + 0.0282577i \(0.00899591\pi\)
\(642\) −12.5753 7.56632i −0.496309 0.298619i
\(643\) −4.65126 + 8.77320i −0.183428 + 0.345981i −0.958125 0.286351i \(-0.907558\pi\)
0.774697 + 0.632333i \(0.217902\pi\)
\(644\) 9.54200 11.2337i 0.376008 0.442670i
\(645\) 12.7545 + 12.0817i 0.502209 + 0.475718i
\(646\) −4.68812 0.509864i −0.184452 0.0200603i
\(647\) −10.0749 + 25.2861i −0.396085 + 0.994099i 0.586775 + 0.809750i \(0.300397\pi\)
−0.982861 + 0.184350i \(0.940982\pi\)
\(648\) 1.00000 0.0392837
\(649\) −41.4458 5.25281i −1.62689 0.206191i
\(650\) −11.6579 −0.457261
\(651\) 0.342300 0.859108i 0.0134158 0.0336711i
\(652\) −10.7987 1.17443i −0.422908 0.0459941i
\(653\) 2.06544 + 1.95649i 0.0808269 + 0.0765633i 0.727047 0.686588i \(-0.240892\pi\)
−0.646220 + 0.763151i \(0.723651\pi\)
\(654\) 4.70871 5.54352i 0.184125 0.216769i
\(655\) 21.6881 40.9081i 0.847423 1.59841i
\(656\) 5.99133 + 3.60486i 0.233922 + 0.140746i
\(657\) −6.85394 + 3.17097i −0.267398 + 0.123711i
\(658\) 3.74401 + 0.824118i 0.145957 + 0.0321275i
\(659\) −11.3933 21.4900i −0.443819 0.837131i −0.999982 0.00605781i \(-0.998072\pi\)
0.556163 0.831073i \(-0.312273\pi\)
\(660\) −0.784120 + 14.4622i −0.0305218 + 0.562942i
\(661\) 2.70552 + 3.18519i 0.105233 + 0.123889i 0.812257 0.583300i \(-0.198239\pi\)
−0.707024 + 0.707189i \(0.749963\pi\)
\(662\) −17.2704 + 3.80150i −0.671233 + 0.147750i
\(663\) −7.58772 + 5.76804i −0.294683 + 0.224012i
\(664\) 11.2732 10.6786i 0.437486 0.414409i
\(665\) 0.922343 + 17.0116i 0.0357669 + 0.659682i
\(666\) −3.67744 + 2.21264i −0.142498 + 0.0857382i
\(667\) 33.5618 49.4999i 1.29952 1.91665i
\(668\) −3.04747 + 10.9760i −0.117910 + 0.424674i
\(669\) 17.0360 1.85277i 0.658648 0.0716323i
\(670\) −26.2282 19.9382i −1.01329 0.770279i
\(671\) −21.9709 10.1648i −0.848176 0.392408i
\(672\) 1.30164 + 1.91978i 0.0502120 + 0.0740572i
\(673\) 21.5878 7.27377i 0.832148 0.280383i 0.129195 0.991619i \(-0.458761\pi\)
0.702953 + 0.711236i \(0.251864\pi\)
\(674\) 2.57303 + 15.6948i 0.0991093 + 0.604540i
\(675\) 0.338311 2.06360i 0.0130216 0.0794281i
\(676\) −17.1329 5.77273i −0.658956 0.222028i
\(677\) 0.870925 + 3.13679i 0.0334724 + 0.120557i 0.978399 0.206726i \(-0.0662809\pi\)
−0.944926 + 0.327283i \(0.893867\pi\)
\(678\) 4.59841 + 11.5411i 0.176601 + 0.443234i
\(679\) −5.32896 13.3747i −0.204507 0.513274i
\(680\) 1.21798 + 4.38677i 0.0467074 + 0.168225i
\(681\) −9.15064 3.08321i −0.350653 0.118149i
\(682\) 0.350835 2.14000i 0.0134342 0.0819448i
\(683\) 0.0934277 + 0.569884i 0.00357491 + 0.0218060i 0.988554 0.150869i \(-0.0482072\pi\)
−0.984979 + 0.172675i \(0.944759\pi\)
\(684\) 2.61390 0.880727i 0.0999451 0.0336754i
\(685\) −30.9293 45.6173i −1.18175 1.74295i
\(686\) −18.1461 8.39527i −0.692820 0.320533i
\(687\) 7.93981 + 6.03569i 0.302923 + 0.230276i
\(688\) 6.55871 0.713303i 0.250049 0.0271944i
\(689\) 11.5072 41.4452i 0.438390 1.57894i
\(690\) −9.49637 + 14.0061i −0.361521 + 0.533203i
\(691\) −4.68172 + 2.81690i −0.178101 + 0.107160i −0.601813 0.798637i \(-0.705555\pi\)
0.423712 + 0.905797i \(0.360727\pi\)
\(692\) 0.181711 + 3.35145i 0.00690760 + 0.127403i
\(693\) 9.15868 8.67556i 0.347910 0.329557i
\(694\) −26.9264 + 20.4689i −1.02211 + 0.776991i
\(695\) 37.9355 8.35024i 1.43898 0.316743i
\(696\) 6.09270 + 7.17288i 0.230943 + 0.271887i
\(697\) 0.647197 11.9369i 0.0245143 0.452140i
\(698\) −0.978852 1.84631i −0.0370501 0.0698839i
\(699\) −15.8697 3.49318i −0.600246 0.132124i
\(700\) 4.40203 2.03659i 0.166381 0.0769761i
\(701\) 39.4138 + 23.7145i 1.48864 + 0.895683i 0.999727 + 0.0233492i \(0.00743295\pi\)
0.488910 + 0.872334i \(0.337395\pi\)
\(702\) 2.61132 4.92547i 0.0985579 0.185900i
\(703\) −7.66375 + 9.02246i −0.289044 + 0.340288i
\(704\) 3.94865 + 3.74036i 0.148820 + 0.140970i
\(705\) −4.37553 0.475868i −0.164792 0.0179222i
\(706\) 4.00209 10.0445i 0.150620 0.378029i
\(707\) 11.6085 0.436583
\(708\) 6.19639 4.53925i 0.232874 0.170595i
\(709\) 31.4066 1.17950 0.589750 0.807586i \(-0.299226\pi\)
0.589750 + 0.807586i \(0.299226\pi\)
\(710\) 5.60382 14.0645i 0.210308 0.527832i
\(711\) 6.70851 + 0.729595i 0.251589 + 0.0273619i
\(712\) 5.53183 + 5.24003i 0.207314 + 0.196378i
\(713\) 1.64026 1.93107i 0.0614283 0.0723190i
\(714\) 1.85747 3.50356i 0.0695140 0.131117i
\(715\) 69.1857 + 41.6277i 2.58740 + 1.55679i
\(716\) −4.29233 + 1.98584i −0.160412 + 0.0742144i
\(717\) −8.14277 1.79236i −0.304097 0.0669369i
\(718\) 8.85970 + 16.7112i 0.330641 + 0.623655i
\(719\) −1.75201 + 32.3139i −0.0653389 + 1.20511i 0.763571 + 0.645724i \(0.223444\pi\)
−0.828910 + 0.559382i \(0.811039\pi\)
\(720\) −1.72394 2.02958i −0.0642474 0.0756379i
\(721\) −6.76202 + 1.48843i −0.251831 + 0.0554322i
\(722\) −9.06895 + 6.89404i −0.337512 + 0.256570i
\(723\) −13.9029 + 13.1695i −0.517053 + 0.489779i
\(724\) 1.34393 + 24.7874i 0.0499469 + 0.921217i
\(725\) 16.8632 10.1462i 0.626283 0.376822i
\(726\) 10.4280 15.3802i 0.387020 0.570813i
\(727\) 7.54960 27.1912i 0.279999 1.00847i −0.681084 0.732206i \(-0.738491\pi\)
0.961083 0.276260i \(-0.0890952\pi\)
\(728\) 12.8548 1.39805i 0.476432 0.0518151i
\(729\) 0.796093 + 0.605174i 0.0294849 + 0.0224139i
\(730\) 18.2515 + 8.44404i 0.675518 + 0.312528i
\(731\) −6.32983 9.33580i −0.234117 0.345297i
\(732\) 4.21793 1.42119i 0.155899 0.0525286i
\(733\) −5.49652 33.5273i −0.203018 1.23836i −0.869913 0.493205i \(-0.835825\pi\)
0.666894 0.745152i \(-0.267623\pi\)
\(734\) −4.33327 + 26.4318i −0.159944 + 0.975615i
\(735\) 4.08852 + 1.37758i 0.150807 + 0.0508130i
\(736\) 1.70005 + 6.12302i 0.0626646 + 0.225698i
\(737\) 24.9072 + 62.5124i 0.917469 + 2.30267i
\(738\) 2.58809 + 6.49561i 0.0952688 + 0.239107i
\(739\) −11.7846 42.4444i −0.433505 1.56134i −0.781535 0.623861i \(-0.785563\pi\)
0.348030 0.937483i \(-0.386851\pi\)
\(740\) 10.8304 + 3.64919i 0.398134 + 0.134147i
\(741\) 2.48774 15.1746i 0.0913896 0.557452i
\(742\) 2.89521 + 17.6600i 0.106286 + 0.648318i
\(743\) −45.7683 + 15.4211i −1.67908 + 0.565746i −0.987646 0.156699i \(-0.949915\pi\)
−0.691429 + 0.722445i \(0.743018\pi\)
\(744\) 0.223752 + 0.330009i 0.00820313 + 0.0120987i
\(745\) −15.8113 7.31507i −0.579280 0.268003i
\(746\) 1.42373 + 1.08229i 0.0521266 + 0.0396256i
\(747\) 15.4369 1.67887i 0.564808 0.0614266i
\(748\) 2.48769 8.95985i 0.0909590 0.327605i
\(749\) 19.1031 28.1749i 0.698011 1.02949i
\(750\) 6.63725 3.99350i 0.242358 0.145822i
\(751\) 0.0830092 + 1.53101i 0.00302905 + 0.0558675i 0.999657 0.0261840i \(-0.00833557\pi\)
−0.996628 + 0.0820515i \(0.973853\pi\)
\(752\) −1.19994 + 1.13664i −0.0437574 + 0.0414492i
\(753\) −0.216148 + 0.164312i −0.00787688 + 0.00598785i
\(754\) 51.2398 11.2787i 1.86604 0.410747i
\(755\) 29.5808 + 34.8253i 1.07656 + 1.26742i
\(756\) −0.125572 + 2.31605i −0.00456702 + 0.0842338i
\(757\) 19.4022 + 36.5965i 0.705186 + 1.33012i 0.934218 + 0.356703i \(0.116099\pi\)
−0.229031 + 0.973419i \(0.573556\pi\)
\(758\) 10.0847 + 2.21981i 0.366293 + 0.0806271i