Properties

Label 403.2.bs.a.4.20
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.20
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0550517 - 0.258998i) q^{2} +(-1.89412 - 2.10363i) q^{3} +(1.76304 + 0.784957i) q^{4} -4.39411i q^{5} +(-0.649111 + 0.374764i) q^{6} +(0.553765 - 1.24378i) q^{7} +(0.611633 - 0.841841i) q^{8} +(-0.523995 + 4.98548i) q^{9} +O(q^{10})\) \(q+(0.0550517 - 0.258998i) q^{2} +(-1.89412 - 2.10363i) q^{3} +(1.76304 + 0.784957i) q^{4} -4.39411i q^{5} +(-0.649111 + 0.374764i) q^{6} +(0.553765 - 1.24378i) q^{7} +(0.611633 - 0.841841i) q^{8} +(-0.523995 + 4.98548i) q^{9} +(-1.13807 - 0.241903i) q^{10} +(-0.790074 + 0.0830401i) q^{11} +(-1.68815 - 5.19559i) q^{12} +(1.86721 - 3.08440i) q^{13} +(-0.291650 - 0.211896i) q^{14} +(-9.24359 + 8.32296i) q^{15} +(2.39833 + 2.66362i) q^{16} +(-0.311040 + 2.95935i) q^{17} +(1.26238 + 0.410173i) q^{18} +(3.72017 + 3.34966i) q^{19} +(3.44919 - 7.74700i) q^{20} +(-3.66534 + 1.19094i) q^{21} +(-0.0219877 + 0.209199i) q^{22} +(1.46843 - 0.653788i) q^{23} +(-2.92943 + 0.307895i) q^{24} -14.3082 q^{25} +(-0.696061 - 0.653405i) q^{26} +(4.60983 - 3.34924i) q^{27} +(1.95262 - 1.75815i) q^{28} +(-7.48597 - 1.59119i) q^{29} +(1.64676 + 2.85226i) q^{30} +(0.976804 + 5.48141i) q^{31} +(2.62423 - 1.51510i) q^{32} +(1.67118 + 1.50474i) q^{33} +(0.749343 + 0.243476i) q^{34} +(-5.46529 - 2.43331i) q^{35} +(-4.83721 + 8.37830i) q^{36} +(-1.72444 - 0.995604i) q^{37} +(1.07236 - 0.779113i) q^{38} +(-10.0252 + 1.91430i) q^{39} +(-3.69914 - 2.68758i) q^{40} +(2.48362 - 11.6845i) q^{41} +(0.106668 + 1.01488i) q^{42} +(1.12931 - 1.25423i) q^{43} +(-1.45812 - 0.473770i) q^{44} +(21.9068 + 2.30249i) q^{45} +(-0.0884901 - 0.416313i) q^{46} +(1.63765 + 0.532106i) q^{47} +(1.06054 - 10.0904i) q^{48} +(3.44359 + 3.82449i) q^{49} +(-0.787692 + 3.70580i) q^{50} +(6.81453 - 4.95105i) q^{51} +(5.71309 - 3.97225i) q^{52} +(4.74149 + 3.44489i) q^{53} +(-0.613667 - 1.37832i) q^{54} +(0.364887 + 3.47167i) q^{55} +(-0.708361 - 1.22692i) q^{56} -14.1705i q^{57} +(-0.824231 + 1.85125i) q^{58} +(0.926959 + 4.36100i) q^{59} +(-22.8300 + 7.41791i) q^{60} +(-0.0232552 - 0.0402792i) q^{61} +(1.47345 + 0.0487709i) q^{62} +(5.91066 + 3.41252i) q^{63} +(1.96725 + 6.05457i) q^{64} +(-13.5532 - 8.20472i) q^{65} +(0.481725 - 0.349994i) q^{66} +(9.35795 + 5.40282i) q^{67} +(-2.87134 + 4.97331i) q^{68} +(-4.15671 - 1.85069i) q^{69} +(-0.931095 + 1.28154i) q^{70} +(-1.79767 - 0.188942i) q^{71} +(3.87649 + 3.49041i) q^{72} +(-1.68423 - 2.31814i) q^{73} +(-0.352793 + 0.391816i) q^{74} +(27.1014 + 30.0992i) q^{75} +(3.92948 + 8.82576i) q^{76} +(-0.334232 + 1.02866i) q^{77} +(-0.0561009 + 2.70188i) q^{78} +(-1.29178 - 0.938531i) q^{79} +(11.7042 - 10.5385i) q^{80} +(-1.06692 - 0.226782i) q^{81} +(-2.88954 - 1.28651i) q^{82} +(10.8921 - 3.53906i) q^{83} +(-7.39699 - 0.777455i) q^{84} +(13.0037 + 1.36675i) q^{85} +(-0.262672 - 0.361537i) q^{86} +(10.8320 + 18.7616i) q^{87} +(-0.413329 + 0.715907i) q^{88} +(-16.8226 + 1.76813i) q^{89} +(1.80235 - 5.54705i) q^{90} +(-2.80231 - 4.03042i) q^{91} +3.10210 q^{92} +(9.68068 - 12.4373i) q^{93} +(0.227970 - 0.394856i) q^{94} +(14.7188 - 16.3469i) q^{95} +(-8.15781 - 2.65063i) q^{96} +(2.37371 - 5.33145i) q^{97} +(1.18011 - 0.681338i) q^{98} -3.98241i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0550517 0.258998i 0.0389275 0.183139i −0.954388 0.298568i \(-0.903491\pi\)
0.993316 + 0.115429i \(0.0368243\pi\)
\(3\) −1.89412 2.10363i −1.09357 1.21453i −0.975145 0.221569i \(-0.928882\pi\)
−0.118424 0.992963i \(-0.537784\pi\)
\(4\) 1.76304 + 0.784957i 0.881521 + 0.392478i
\(5\) 4.39411i 1.96511i −0.185983 0.982553i \(-0.559547\pi\)
0.185983 0.982553i \(-0.440453\pi\)
\(6\) −0.649111 + 0.374764i −0.264998 + 0.152997i
\(7\) 0.553765 1.24378i 0.209304 0.470103i −0.778137 0.628095i \(-0.783835\pi\)
0.987441 + 0.157991i \(0.0505017\pi\)
\(8\) 0.611633 0.841841i 0.216245 0.297636i
\(9\) −0.523995 + 4.98548i −0.174665 + 1.66183i
\(10\) −1.13807 0.241903i −0.359888 0.0764966i
\(11\) −0.790074 + 0.0830401i −0.238216 + 0.0250375i −0.222884 0.974845i \(-0.571547\pi\)
−0.0153320 + 0.999882i \(0.504881\pi\)
\(12\) −1.68815 5.19559i −0.487327 1.49984i
\(13\) 1.86721 3.08440i 0.517870 0.855459i
\(14\) −0.291650 0.211896i −0.0779468 0.0566316i
\(15\) −9.24359 + 8.32296i −2.38668 + 2.14898i
\(16\) 2.39833 + 2.66362i 0.599583 + 0.665904i
\(17\) −0.311040 + 2.95935i −0.0754384 + 0.717748i 0.889795 + 0.456360i \(0.150847\pi\)
−0.965234 + 0.261388i \(0.915820\pi\)
\(18\) 1.26238 + 0.410173i 0.297547 + 0.0966787i
\(19\) 3.72017 + 3.34966i 0.853466 + 0.768465i 0.974548 0.224178i \(-0.0719697\pi\)
−0.121082 + 0.992643i \(0.538636\pi\)
\(20\) 3.44919 7.74700i 0.771262 1.73228i
\(21\) −3.66534 + 1.19094i −0.799843 + 0.259885i
\(22\) −0.0219877 + 0.209199i −0.00468780 + 0.0446014i
\(23\) 1.46843 0.653788i 0.306189 0.136324i −0.247890 0.968788i \(-0.579737\pi\)
0.554079 + 0.832464i \(0.313070\pi\)
\(24\) −2.92943 + 0.307895i −0.597967 + 0.0628489i
\(25\) −14.3082 −2.86164
\(26\) −0.696061 0.653405i −0.136509 0.128143i
\(27\) 4.60983 3.34924i 0.887162 0.644561i
\(28\) 1.95262 1.75815i 0.369011 0.332259i
\(29\) −7.48597 1.59119i −1.39011 0.295477i −0.548765 0.835977i \(-0.684902\pi\)
−0.841344 + 0.540500i \(0.818235\pi\)
\(30\) 1.64676 + 2.85226i 0.300655 + 0.520750i
\(31\) 0.976804 + 5.48141i 0.175439 + 0.984490i
\(32\) 2.62423 1.51510i 0.463903 0.267834i
\(33\) 1.67118 + 1.50474i 0.290915 + 0.261941i
\(34\) 0.749343 + 0.243476i 0.128511 + 0.0417558i
\(35\) −5.46529 2.43331i −0.923803 0.411304i
\(36\) −4.83721 + 8.37830i −0.806202 + 1.39638i
\(37\) −1.72444 0.995604i −0.283496 0.163676i 0.351509 0.936184i \(-0.385669\pi\)
−0.635005 + 0.772508i \(0.719002\pi\)
\(38\) 1.07236 0.779113i 0.173959 0.126389i
\(39\) −10.0252 + 1.91430i −1.60531 + 0.306534i
\(40\) −3.69914 2.68758i −0.584886 0.424944i
\(41\) 2.48362 11.6845i 0.387876 1.82481i −0.158603 0.987342i \(-0.550699\pi\)
0.546480 0.837472i \(-0.315968\pi\)
\(42\) 0.106668 + 1.01488i 0.0164593 + 0.156599i
\(43\) 1.12931 1.25423i 0.172218 0.191268i −0.650857 0.759201i \(-0.725590\pi\)
0.823075 + 0.567933i \(0.192257\pi\)
\(44\) −1.45812 0.473770i −0.219819 0.0714236i
\(45\) 21.9068 + 2.30249i 3.26567 + 0.343235i
\(46\) −0.0884901 0.416313i −0.0130472 0.0613820i
\(47\) 1.63765 + 0.532106i 0.238876 + 0.0776156i 0.426009 0.904719i \(-0.359919\pi\)
−0.187132 + 0.982335i \(0.559919\pi\)
\(48\) 1.06054 10.0904i 0.153076 1.45643i
\(49\) 3.44359 + 3.82449i 0.491941 + 0.546356i
\(50\) −0.787692 + 3.70580i −0.111396 + 0.524079i
\(51\) 6.81453 4.95105i 0.954225 0.693285i
\(52\) 5.71309 3.97225i 0.792263 0.550852i
\(53\) 4.74149 + 3.44489i 0.651293 + 0.473192i 0.863711 0.503987i \(-0.168134\pi\)
−0.212418 + 0.977179i \(0.568134\pi\)
\(54\) −0.613667 1.37832i −0.0835095 0.187565i
\(55\) 0.364887 + 3.47167i 0.0492014 + 0.468120i
\(56\) −0.708361 1.22692i −0.0946588 0.163954i
\(57\) 14.1705i 1.87693i
\(58\) −0.824231 + 1.85125i −0.108227 + 0.243081i
\(59\) 0.926959 + 4.36100i 0.120680 + 0.567754i 0.996388 + 0.0849135i \(0.0270614\pi\)
−0.875709 + 0.482840i \(0.839605\pi\)
\(60\) −22.8300 + 7.41791i −2.94734 + 0.957648i
\(61\) −0.0232552 0.0402792i −0.00297753 0.00515723i 0.864533 0.502576i \(-0.167614\pi\)
−0.867510 + 0.497419i \(0.834281\pi\)
\(62\) 1.47345 + 0.0487709i 0.187128 + 0.00619391i
\(63\) 5.91066 + 3.41252i 0.744673 + 0.429937i
\(64\) 1.96725 + 6.05457i 0.245906 + 0.756821i
\(65\) −13.5532 8.20472i −1.68107 1.01767i
\(66\) 0.481725 0.349994i 0.0592962 0.0430812i
\(67\) 9.35795 + 5.40282i 1.14326 + 0.660059i 0.947235 0.320541i \(-0.103865\pi\)
0.196021 + 0.980600i \(0.437198\pi\)
\(68\) −2.87134 + 4.97331i −0.348201 + 0.603102i
\(69\) −4.15671 1.85069i −0.500409 0.222796i
\(70\) −0.931095 + 1.28154i −0.111287 + 0.153174i
\(71\) −1.79767 0.188942i −0.213344 0.0224233i −0.00274639 0.999996i \(-0.500874\pi\)
−0.210597 + 0.977573i \(0.567541\pi\)
\(72\) 3.87649 + 3.49041i 0.456849 + 0.411348i
\(73\) −1.68423 2.31814i −0.197124 0.271317i 0.699000 0.715121i \(-0.253629\pi\)
−0.896124 + 0.443804i \(0.853629\pi\)
\(74\) −0.352793 + 0.391816i −0.0410113 + 0.0455477i
\(75\) 27.1014 + 30.0992i 3.12940 + 3.47555i
\(76\) 3.92948 + 8.82576i 0.450743 + 1.01238i
\(77\) −0.334232 + 1.02866i −0.0380893 + 0.117227i
\(78\) −0.0561009 + 2.70188i −0.00635218 + 0.305928i
\(79\) −1.29178 0.938531i −0.145336 0.105593i 0.512741 0.858543i \(-0.328630\pi\)
−0.658077 + 0.752950i \(0.728630\pi\)
\(80\) 11.7042 10.5385i 1.30857 1.17824i
\(81\) −1.06692 0.226782i −0.118547 0.0251980i
\(82\) −2.88954 1.28651i −0.319096 0.142071i
\(83\) 10.8921 3.53906i 1.19557 0.388463i 0.357438 0.933937i \(-0.383650\pi\)
0.838128 + 0.545474i \(0.183650\pi\)
\(84\) −7.39699 0.777455i −0.807078 0.0848273i
\(85\) 13.0037 + 1.36675i 1.41045 + 0.148244i
\(86\) −0.262672 0.361537i −0.0283246 0.0389855i
\(87\) 10.8320 + 18.7616i 1.16131 + 2.01146i
\(88\) −0.413329 + 0.715907i −0.0440610 + 0.0763159i
\(89\) −16.8226 + 1.76813i −1.78319 + 0.187421i −0.937906 0.346891i \(-0.887238\pi\)
−0.845288 + 0.534312i \(0.820571\pi\)
\(90\) 1.80235 5.54705i 0.189984 0.584710i
\(91\) −2.80231 4.03042i −0.293762 0.422503i
\(92\) 3.10210 0.323416
\(93\) 9.68068 12.4373i 1.00384 1.28968i
\(94\) 0.227970 0.394856i 0.0235133 0.0407262i
\(95\) 14.7188 16.3469i 1.51011 1.67715i
\(96\) −8.15781 2.65063i −0.832603 0.270529i
\(97\) 2.37371 5.33145i 0.241014 0.541327i −0.752022 0.659138i \(-0.770921\pi\)
0.993036 + 0.117812i \(0.0375879\pi\)
\(98\) 1.18011 0.681338i 0.119209 0.0688255i
\(99\) 3.98241i 0.400247i
\(100\) −25.2260 11.2313i −2.52260 1.12313i
\(101\) 11.1177 4.94994i 1.10626 0.492537i 0.229421 0.973327i \(-0.426317\pi\)
0.876836 + 0.480790i \(0.159650\pi\)
\(102\) −0.907160 2.03751i −0.0898222 0.201744i
\(103\) −3.30850 10.1825i −0.325996 1.00331i −0.970989 0.239124i \(-0.923140\pi\)
0.644993 0.764188i \(-0.276860\pi\)
\(104\) −1.45453 3.45842i −0.142628 0.339126i
\(105\) 5.23313 + 16.1059i 0.510701 + 1.57178i
\(106\) 1.15325 1.03839i 0.112013 0.100857i
\(107\) 1.56247 0.695656i 0.151050 0.0672516i −0.329820 0.944044i \(-0.606988\pi\)
0.480869 + 0.876792i \(0.340321\pi\)
\(108\) 10.7563 2.28633i 1.03503 0.220002i
\(109\) 12.0993 + 3.93130i 1.15890 + 0.376550i 0.824490 0.565877i \(-0.191462\pi\)
0.334413 + 0.942427i \(0.391462\pi\)
\(110\) 0.919244 + 0.0966164i 0.0876465 + 0.00921201i
\(111\) 1.17190 + 5.51337i 0.111232 + 0.523306i
\(112\) 4.64106 1.50797i 0.438539 0.142490i
\(113\) −6.71497 2.98970i −0.631691 0.281247i 0.0658085 0.997832i \(-0.479037\pi\)
−0.697499 + 0.716585i \(0.745704\pi\)
\(114\) −3.67014 0.780112i −0.343740 0.0730642i
\(115\) −2.87282 6.45245i −0.267891 0.601694i
\(116\) −11.9491 8.68150i −1.10944 0.806057i
\(117\) 14.3988 + 10.9251i 1.33117 + 1.01003i
\(118\) 1.18052 0.108676
\(119\) 3.50853 + 2.02565i 0.321626 + 0.185691i
\(120\) 1.35293 + 12.8722i 0.123505 + 1.17507i
\(121\) −10.1423 + 2.15581i −0.922028 + 0.195983i
\(122\) −0.0117125 + 0.00380562i −0.00106040 + 0.000344544i
\(123\) −29.2842 + 16.9072i −2.64046 + 1.52447i
\(124\) −2.58052 + 10.4307i −0.231738 + 0.936705i
\(125\) 40.9013i 3.65832i
\(126\) 1.20923 1.34298i 0.107727 0.119642i
\(127\) −2.24356 2.49173i −0.199084 0.221105i 0.635334 0.772238i \(-0.280863\pi\)
−0.834418 + 0.551133i \(0.814196\pi\)
\(128\) 7.70362 0.809683i 0.680910 0.0715666i
\(129\) −4.77748 −0.420633
\(130\) −2.87113 + 3.05857i −0.251815 + 0.268254i
\(131\) 13.1954 9.58703i 1.15289 0.837623i 0.164026 0.986456i \(-0.447552\pi\)
0.988862 + 0.148833i \(0.0475517\pi\)
\(132\) 1.76520 + 3.96471i 0.153641 + 0.345084i
\(133\) 6.22633 2.77214i 0.539891 0.240375i
\(134\) 1.91449 2.12626i 0.165387 0.183681i
\(135\) −14.7169 20.2561i −1.26663 1.74337i
\(136\) 2.30106 + 2.07188i 0.197314 + 0.177663i
\(137\) −1.51766 7.14004i −0.129663 0.610015i −0.994209 0.107462i \(-0.965728\pi\)
0.864546 0.502553i \(-0.167606\pi\)
\(138\) −0.708158 + 0.974696i −0.0602824 + 0.0829717i
\(139\) −13.8700 + 2.94816i −1.17644 + 0.250060i −0.754336 0.656488i \(-0.772041\pi\)
−0.422103 + 0.906548i \(0.638708\pi\)
\(140\) −7.72550 8.58004i −0.652924 0.725146i
\(141\) −1.98255 4.45289i −0.166961 0.375001i
\(142\) −0.147900 + 0.455190i −0.0124115 + 0.0381987i
\(143\) −1.21910 + 2.59196i −0.101946 + 0.216750i
\(144\) −14.5361 + 10.5611i −1.21134 + 0.880093i
\(145\) −6.99187 + 32.8942i −0.580643 + 2.73171i
\(146\) −0.693113 + 0.308594i −0.0573624 + 0.0255394i
\(147\) 1.52276 14.4881i 0.125595 1.19496i
\(148\) −2.25875 3.10890i −0.185668 0.255550i
\(149\) 3.12357 1.80340i 0.255893 0.147740i −0.366567 0.930392i \(-0.619467\pi\)
0.622460 + 0.782652i \(0.286133\pi\)
\(150\) 9.28761 5.36221i 0.758330 0.437822i
\(151\) −0.345739 0.475869i −0.0281359 0.0387257i 0.794717 0.606980i \(-0.207619\pi\)
−0.822853 + 0.568254i \(0.807619\pi\)
\(152\) 5.09526 1.08303i 0.413280 0.0878455i
\(153\) −14.5908 3.10137i −1.17960 0.250731i
\(154\) 0.248021 + 0.143195i 0.0199861 + 0.0115390i
\(155\) 24.0859 4.29218i 1.93463 0.344756i
\(156\) −19.1774 4.49431i −1.53542 0.359833i
\(157\) −5.17118 15.9153i −0.412705 1.27018i −0.914287 0.405067i \(-0.867248\pi\)
0.501582 0.865110i \(-0.332752\pi\)
\(158\) −0.314192 + 0.282900i −0.0249958 + 0.0225063i
\(159\) −1.73415 16.4994i −0.137527 1.30848i
\(160\) −6.65751 11.5312i −0.526323 0.911618i
\(161\) 2.18845i 0.172474i
\(162\) −0.117472 + 0.263847i −0.00922948 + 0.0207298i
\(163\) −14.4468 1.51842i −1.13156 0.118932i −0.479816 0.877369i \(-0.659297\pi\)
−0.651746 + 0.758437i \(0.725963\pi\)
\(164\) 13.5506 18.6508i 1.05812 1.45638i
\(165\) 6.61197 7.34334i 0.514741 0.571678i
\(166\) −0.316981 3.01587i −0.0246025 0.234077i
\(167\) −3.53365 + 16.6245i −0.273442 + 1.28644i 0.600191 + 0.799856i \(0.295091\pi\)
−0.873633 + 0.486585i \(0.838242\pi\)
\(168\) −1.23926 + 3.81406i −0.0956111 + 0.294261i
\(169\) −6.02707 11.5184i −0.463621 0.886034i
\(170\) 1.06986 3.29270i 0.0820547 0.252538i
\(171\) −18.6490 + 16.7916i −1.42613 + 1.28409i
\(172\) 2.97554 1.32479i 0.226882 0.101015i
\(173\) −16.6116 + 3.53091i −1.26296 + 0.268450i −0.790258 0.612774i \(-0.790054\pi\)
−0.472699 + 0.881224i \(0.656720\pi\)
\(174\) 5.45554 1.77261i 0.413584 0.134381i
\(175\) −7.92339 + 17.7962i −0.598952 + 1.34527i
\(176\) −2.11605 1.90530i −0.159503 0.143617i
\(177\) 7.41816 10.2102i 0.557583 0.767447i
\(178\) −0.468172 + 4.45436i −0.0350910 + 0.333869i
\(179\) 0.654178 + 6.22409i 0.0488956 + 0.465210i 0.991386 + 0.130976i \(0.0418110\pi\)
−0.942490 + 0.334234i \(0.891522\pi\)
\(180\) 36.8152 + 21.2552i 2.74404 + 1.58427i
\(181\) 10.9578 0.814490 0.407245 0.913319i \(-0.366489\pi\)
0.407245 + 0.913319i \(0.366489\pi\)
\(182\) −1.19814 + 0.503912i −0.0888124 + 0.0373524i
\(183\) −0.0406845 + 0.125214i −0.00300748 + 0.00925608i
\(184\) 0.347756 1.63606i 0.0256369 0.120612i
\(185\) −4.37479 + 7.57737i −0.321641 + 0.557099i
\(186\) −2.68829 3.19197i −0.197115 0.234047i
\(187\) 2.36393i 0.172868i
\(188\) 2.46957 + 2.22361i 0.180112 + 0.162174i
\(189\) −1.61294 7.58829i −0.117324 0.551967i
\(190\) −3.42351 4.71206i −0.248368 0.341849i
\(191\) 7.88084 + 13.6500i 0.570238 + 0.987681i 0.996541 + 0.0831004i \(0.0264822\pi\)
−0.426304 + 0.904580i \(0.640184\pi\)
\(192\) 9.01038 15.6064i 0.650268 1.12630i
\(193\) −14.3843 + 1.51185i −1.03540 + 0.108825i −0.606952 0.794739i \(-0.707608\pi\)
−0.428453 + 0.903564i \(0.640941\pi\)
\(194\) −1.25016 0.908293i −0.0897561 0.0652116i
\(195\) 8.41167 + 44.0516i 0.602372 + 3.15460i
\(196\) 3.06913 + 9.44581i 0.219224 + 0.674701i
\(197\) 12.9622 1.36238i 0.923520 0.0970658i 0.369182 0.929357i \(-0.379638\pi\)
0.554338 + 0.832291i \(0.312971\pi\)
\(198\) −1.03144 0.219239i −0.0733010 0.0155806i
\(199\) 17.5207 3.72413i 1.24201 0.263997i 0.460368 0.887728i \(-0.347717\pi\)
0.781639 + 0.623731i \(0.214384\pi\)
\(200\) −8.75138 + 12.0452i −0.618816 + 0.851727i
\(201\) −6.35953 29.9192i −0.448567 2.11034i
\(202\) −0.669974 3.15198i −0.0471392 0.221772i
\(203\) −6.12456 + 8.42973i −0.429859 + 0.591651i
\(204\) 15.9007 3.37979i 1.11327 0.236633i
\(205\) −51.3431 10.9133i −3.58595 0.762218i
\(206\) −2.81939 + 0.296330i −0.196436 + 0.0206463i
\(207\) 2.49000 + 7.66342i 0.173067 + 0.532644i
\(208\) 12.6939 2.42389i 0.880160 0.168067i
\(209\) −3.21737 2.33755i −0.222550 0.161692i
\(210\) 4.45950 0.468712i 0.307734 0.0323442i
\(211\) 3.93313 6.81237i 0.270768 0.468983i −0.698291 0.715814i \(-0.746056\pi\)
0.969059 + 0.246831i \(0.0793892\pi\)
\(212\) 5.65535 + 9.79535i 0.388411 + 0.672747i
\(213\) 3.00753 + 4.13950i 0.206072 + 0.283634i
\(214\) −0.0941569 0.442973i −0.00643643 0.0302810i
\(215\) −5.51121 4.96232i −0.375861 0.338427i
\(216\) 5.92925i 0.403434i
\(217\) 7.35857 + 1.82049i 0.499532 + 0.123583i
\(218\) 1.68429 2.91727i 0.114074 0.197582i
\(219\) −1.68638 + 7.93381i −0.113955 + 0.536117i
\(220\) −2.08180 + 6.40712i −0.140355 + 0.431968i
\(221\) 8.54705 + 6.48510i 0.574937 + 0.436235i
\(222\) 1.49247 0.100168
\(223\) 10.9260 + 6.30810i 0.731656 + 0.422422i 0.819028 0.573754i \(-0.194513\pi\)
−0.0873717 + 0.996176i \(0.527847\pi\)
\(224\) −0.431239 4.10297i −0.0288134 0.274141i
\(225\) 7.49743 71.3333i 0.499829 4.75555i
\(226\) −1.14400 + 1.57458i −0.0760975 + 0.104739i
\(227\) 6.13655 + 5.52537i 0.407297 + 0.366732i 0.847164 0.531331i \(-0.178308\pi\)
−0.439867 + 0.898063i \(0.644975\pi\)
\(228\) 11.1232 24.9832i 0.736655 1.65455i
\(229\) 0.824195 0.267797i 0.0544643 0.0176965i −0.281658 0.959515i \(-0.590884\pi\)
0.336122 + 0.941818i \(0.390884\pi\)
\(230\) −1.82933 + 0.388835i −0.120622 + 0.0256390i
\(231\) 2.79700 1.24530i 0.184029 0.0819349i
\(232\) −5.91820 + 5.32877i −0.388549 + 0.349851i
\(233\) −2.75901 + 8.49137i −0.180749 + 0.556288i −0.999849 0.0173623i \(-0.994473\pi\)
0.819100 + 0.573650i \(0.194473\pi\)
\(234\) 3.62227 3.12782i 0.236795 0.204472i
\(235\) 2.33813 7.19603i 0.152523 0.469417i
\(236\) −1.78893 + 8.41624i −0.116449 + 0.547851i
\(237\) 0.472455 + 4.49511i 0.0306893 + 0.291989i
\(238\) 0.717790 0.797187i 0.0465274 0.0516740i
\(239\) −13.0931 + 18.0211i −0.846921 + 1.16569i 0.137611 + 0.990486i \(0.456058\pi\)
−0.984533 + 0.175201i \(0.943942\pi\)
\(240\) −44.3384 4.66015i −2.86203 0.300811i
\(241\) 1.50518 3.38070i 0.0969573 0.217770i −0.858555 0.512722i \(-0.828637\pi\)
0.955512 + 0.294952i \(0.0953038\pi\)
\(242\) 2.74552i 0.176489i
\(243\) −7.00328 12.1300i −0.449261 0.778142i
\(244\) −0.00938247 0.0892683i −0.000600651 0.00571482i
\(245\) 16.8052 15.1315i 1.07365 0.966717i
\(246\) 2.76679 + 8.51532i 0.176404 + 0.542917i
\(247\) 17.2780 5.22000i 1.09937 0.332141i
\(248\) 5.21192 + 2.53030i 0.330957 + 0.160674i
\(249\) −28.0758 16.2096i −1.77923 1.02724i
\(250\) 10.5934 + 2.25169i 0.669983 + 0.142409i
\(251\) −24.4301 + 5.19278i −1.54201 + 0.327765i −0.898951 0.438048i \(-0.855670\pi\)
−0.643063 + 0.765814i \(0.722336\pi\)
\(252\) 7.74205 + 10.6560i 0.487703 + 0.671266i
\(253\) −1.10588 + 0.638479i −0.0695260 + 0.0401408i
\(254\) −0.768864 + 0.443904i −0.0482428 + 0.0278530i
\(255\) −21.7554 29.9438i −1.36238 1.87515i
\(256\) −1.11650 + 10.6228i −0.0697811 + 0.663923i
\(257\) −4.04403 + 1.80052i −0.252260 + 0.112313i −0.528971 0.848640i \(-0.677422\pi\)
0.276711 + 0.960953i \(0.410755\pi\)
\(258\) −0.263008 + 1.23736i −0.0163742 + 0.0770345i
\(259\) −2.19324 + 1.59348i −0.136281 + 0.0990143i
\(260\) −17.4545 25.1039i −1.08248 1.55688i
\(261\) 11.8555 36.4874i 0.733835 2.25851i
\(262\) −1.75659 3.94537i −0.108523 0.243746i
\(263\) 2.92925 + 3.25326i 0.180625 + 0.200605i 0.826657 0.562705i \(-0.190239\pi\)
−0.646032 + 0.763310i \(0.723573\pi\)
\(264\) 2.28890 0.486520i 0.140872 0.0299432i
\(265\) 15.1372 20.8346i 0.929873 1.27986i
\(266\) −0.375209 1.76522i −0.0230055 0.108233i
\(267\) 35.5835 + 32.0395i 2.17767 + 1.96079i
\(268\) 12.2575 + 16.8710i 0.748745 + 1.03056i
\(269\) 15.9689 17.7352i 0.973640 1.08134i −0.0230254 0.999735i \(-0.507330\pi\)
0.996665 0.0816015i \(-0.0260035\pi\)
\(270\) −6.05648 + 2.69652i −0.368586 + 0.164105i
\(271\) 6.04167 + 13.5698i 0.367005 + 0.824307i 0.998791 + 0.0491639i \(0.0156557\pi\)
−0.631786 + 0.775143i \(0.717678\pi\)
\(272\) −8.62856 + 6.26902i −0.523183 + 0.380115i
\(273\) −3.17061 + 13.5291i −0.191894 + 0.818820i
\(274\) −1.93281 −0.116765
\(275\) 11.3045 1.18815i 0.681689 0.0716484i
\(276\) −5.87574 6.52567i −0.353678 0.392799i
\(277\) −3.59601 + 3.99377i −0.216063 + 0.239962i −0.841427 0.540371i \(-0.818284\pi\)
0.625364 + 0.780333i \(0.284951\pi\)
\(278\) 3.75461i 0.225186i
\(279\) −27.8393 + 1.99760i −1.66670 + 0.119593i
\(280\) −5.39121 + 3.11262i −0.322187 + 0.186014i
\(281\) −5.66068 + 1.83927i −0.337688 + 0.109721i −0.472952 0.881088i \(-0.656812\pi\)
0.135264 + 0.990810i \(0.456812\pi\)
\(282\) −1.26243 + 0.268338i −0.0751767 + 0.0159793i
\(283\) 1.69017 + 16.0809i 0.100470 + 0.955910i 0.922378 + 0.386289i \(0.126243\pi\)
−0.821908 + 0.569621i \(0.807090\pi\)
\(284\) −3.02105 1.74420i −0.179266 0.103499i
\(285\) −62.2668 −3.68837
\(286\) 0.604198 + 0.458437i 0.0357270 + 0.0271080i
\(287\) −13.1576 9.55955i −0.776668 0.564282i
\(288\) 6.17842 + 13.8769i 0.364067 + 0.817707i
\(289\) 7.96749 + 1.69354i 0.468676 + 0.0996202i
\(290\) 8.13461 + 3.62176i 0.477681 + 0.212677i
\(291\) −15.7115 + 5.10497i −0.921024 + 0.299259i
\(292\) −1.14972 5.40902i −0.0672824 0.316539i
\(293\) 19.0604 + 2.00333i 1.11352 + 0.117036i 0.643374 0.765552i \(-0.277534\pi\)
0.470148 + 0.882588i \(0.344201\pi\)
\(294\) −3.66855 1.19199i −0.213954 0.0695180i
\(295\) 19.1627 4.07316i 1.11570 0.237148i
\(296\) −1.89286 + 0.842757i −0.110020 + 0.0489843i
\(297\) −3.36398 + 3.02894i −0.195198 + 0.175757i
\(298\) −0.295118 0.908280i −0.0170957 0.0526152i
\(299\) 0.725322 5.74999i 0.0419465 0.332531i
\(300\) 24.1544 + 74.3396i 1.39455 + 4.29200i
\(301\) −0.934605 2.09916i −0.0538697 0.120993i
\(302\) −0.142283 + 0.0633484i −0.00818745 + 0.00364529i
\(303\) −31.4712 14.0119i −1.80797 0.804961i
\(304\) 17.9427i 1.02909i
\(305\) −0.176991 + 0.102186i −0.0101345 + 0.00585115i
\(306\) −1.60650 + 3.60826i −0.0918374 + 0.206270i
\(307\) 1.66781 + 0.541905i 0.0951871 + 0.0309282i 0.356223 0.934401i \(-0.384064\pi\)
−0.261036 + 0.965329i \(0.584064\pi\)
\(308\) −1.39672 + 1.55121i −0.0795854 + 0.0883886i
\(309\) −15.1536 + 26.2467i −0.862055 + 1.49312i
\(310\) 0.214305 6.47450i 0.0121717 0.367727i
\(311\) −12.0328 −0.682318 −0.341159 0.940006i \(-0.610819\pi\)
−0.341159 + 0.940006i \(0.610819\pi\)
\(312\) −4.52018 + 9.61044i −0.255905 + 0.544084i
\(313\) −5.32701 + 16.3949i −0.301100 + 0.926692i 0.680003 + 0.733209i \(0.261978\pi\)
−0.981104 + 0.193483i \(0.938022\pi\)
\(314\) −4.40671 + 0.463164i −0.248685 + 0.0261378i
\(315\) 14.9950 25.9721i 0.844872 1.46336i
\(316\) −1.54075 2.66866i −0.0866740 0.150124i
\(317\) −11.6019 15.9686i −0.651625 0.896885i 0.347543 0.937664i \(-0.387016\pi\)
−0.999168 + 0.0407788i \(0.987016\pi\)
\(318\) −4.36877 0.459176i −0.244989 0.0257493i
\(319\) 6.04660 + 0.635523i 0.338545 + 0.0355825i
\(320\) 26.6045 8.64431i 1.48723 0.483232i
\(321\) −4.42290 1.96920i −0.246862 0.109910i
\(322\) −0.566803 0.120478i −0.0315867 0.00671396i
\(323\) −11.0699 + 9.96742i −0.615948 + 0.554602i
\(324\) −1.70302 1.23732i −0.0946122 0.0687398i
\(325\) −26.7164 + 44.1323i −1.48196 + 2.44802i
\(326\) −1.18859 + 3.65811i −0.0658300 + 0.202604i
\(327\) −14.6475 32.8988i −0.810008 1.81931i
\(328\) −8.31744 9.23745i −0.459254 0.510053i
\(329\) 1.56870 1.74221i 0.0864850 0.0960513i
\(330\) −1.53791 2.11675i −0.0846592 0.116523i
\(331\) −18.7518 16.8842i −1.03069 0.928040i −0.0332454 0.999447i \(-0.510584\pi\)
−0.997447 + 0.0714074i \(0.977251\pi\)
\(332\) 21.9813 + 2.31032i 1.20638 + 0.126796i
\(333\) 5.86716 8.07546i 0.321518 0.442532i
\(334\) 4.11118 + 1.83041i 0.224954 + 0.100156i
\(335\) 23.7406 41.1199i 1.29709 2.24662i
\(336\) −11.9629 6.90680i −0.652631 0.376797i
\(337\) 9.35231 6.79485i 0.509453 0.370139i −0.303163 0.952939i \(-0.598043\pi\)
0.812616 + 0.582800i \(0.198043\pi\)
\(338\) −3.31505 + 0.926890i −0.180315 + 0.0504162i
\(339\) 6.42972 + 19.7886i 0.349214 + 1.07477i
\(340\) 21.8533 + 12.6170i 1.18516 + 0.684252i
\(341\) −1.22692 4.24960i −0.0664416 0.230129i
\(342\) 3.32234 + 5.75447i 0.179652 + 0.311166i
\(343\) 15.7277 5.11024i 0.849215 0.275927i
\(344\) −0.365135 1.71783i −0.0196868 0.0926190i
\(345\) −8.13212 + 18.2650i −0.437819 + 0.983357i
\(346\) 4.49676i 0.241747i
\(347\) 15.6634 + 27.1298i 0.840855 + 1.45640i 0.889173 + 0.457572i \(0.151281\pi\)
−0.0483175 + 0.998832i \(0.515386\pi\)
\(348\) 4.37025 + 41.5802i 0.234270 + 2.22893i
\(349\) 11.4761 + 25.7758i 0.614303 + 1.37975i 0.906017 + 0.423241i \(0.139108\pi\)
−0.291714 + 0.956506i \(0.594226\pi\)
\(350\) 4.17299 + 3.03186i 0.223056 + 0.162059i
\(351\) −1.72288 20.4723i −0.0919608 1.09273i
\(352\) −1.94752 + 1.41496i −0.103803 + 0.0754174i
\(353\) 1.52626 7.18051i 0.0812348 0.382180i −0.918683 0.394995i \(-0.870746\pi\)
0.999918 + 0.0128157i \(0.00407949\pi\)
\(354\) −2.23604 2.48338i −0.118844 0.131990i
\(355\) −0.830233 + 7.89914i −0.0440642 + 0.419243i
\(356\) −31.0469 10.0877i −1.64548 0.534649i
\(357\) −2.38435 11.2175i −0.126193 0.593692i
\(358\) 1.64804 + 0.173216i 0.0871016 + 0.00915475i
\(359\) 6.35720 + 2.06558i 0.335520 + 0.109017i 0.471932 0.881635i \(-0.343557\pi\)
−0.136412 + 0.990652i \(0.543557\pi\)
\(360\) 15.3372 17.0337i 0.808343 0.897756i
\(361\) 0.633433 + 6.02671i 0.0333386 + 0.317195i
\(362\) 0.603249 2.83806i 0.0317060 0.149165i
\(363\) 23.7457 + 17.2523i 1.24633 + 0.905511i
\(364\) −1.77689 9.30550i −0.0931342 0.487741i
\(365\) −10.1862 + 7.40067i −0.533167 + 0.387369i
\(366\) 0.0301904 + 0.0174304i 0.00157808 + 0.000911104i
\(367\) −17.4929 + 30.2986i −0.913121 + 1.58157i −0.103492 + 0.994630i \(0.533002\pi\)
−0.809629 + 0.586942i \(0.800332\pi\)
\(368\) 5.26323 + 2.34334i 0.274365 + 0.122155i
\(369\) 56.9515 + 18.5047i 2.96478 + 0.963315i
\(370\) 1.72168 + 1.55021i 0.0895061 + 0.0805916i
\(371\) 6.91035 3.98969i 0.358767 0.207134i
\(372\) 26.8302 14.3285i 1.39108 0.742898i
\(373\) 4.89079 + 8.47110i 0.253236 + 0.438617i 0.964415 0.264394i \(-0.0851719\pi\)
−0.711179 + 0.703011i \(0.751839\pi\)
\(374\) −0.612255 0.130139i −0.0316589 0.00672931i
\(375\) 86.0412 77.4719i 4.44315 4.00063i
\(376\) 1.44959 1.05319i 0.0747570 0.0543141i
\(377\) −18.8857 + 20.1186i −0.972665 + 1.03616i
\(378\) −2.05415 −0.105654
\(379\) 13.0320 1.36972i 0.669410 0.0703578i 0.236274 0.971686i \(-0.424074\pi\)
0.433136 + 0.901329i \(0.357407\pi\)
\(380\) 38.7814 17.2666i 1.98944 0.885757i
\(381\) −0.992105 + 9.43925i −0.0508271 + 0.483587i
\(382\) 3.96918 1.28967i 0.203081 0.0659850i
\(383\) 2.71364 6.09494i 0.138661 0.311437i −0.830846 0.556503i \(-0.812143\pi\)
0.969506 + 0.245066i \(0.0788095\pi\)
\(384\) −16.2948 14.6719i −0.831542 0.748724i
\(385\) 4.52005 + 1.46865i 0.230363 + 0.0748494i
\(386\) −0.400314 + 3.80874i −0.0203755 + 0.193860i
\(387\) 5.66117 + 6.28737i 0.287773 + 0.319605i
\(388\) 8.36991 7.53630i 0.424918 0.382598i
\(389\) 18.7734 + 13.6397i 0.951848 + 0.691558i 0.951243 0.308442i \(-0.0998074\pi\)
0.000604997 1.00000i \(0.499807\pi\)
\(390\) 11.8724 + 0.246514i 0.601181 + 0.0124827i
\(391\) 1.47805 + 4.54896i 0.0747480 + 0.230051i
\(392\) 5.32583 0.559767i 0.268995 0.0282725i
\(393\) −45.1612 9.59932i −2.27808 0.484221i
\(394\) 0.360738 3.43219i 0.0181737 0.172911i
\(395\) −4.12401 + 5.67621i −0.207501 + 0.285601i
\(396\) 3.12602 7.02115i 0.157088 0.352826i
\(397\) −1.11474 + 0.643595i −0.0559472 + 0.0323011i −0.527713 0.849423i \(-0.676950\pi\)
0.471766 + 0.881724i \(0.343617\pi\)
\(398\) 4.74284i 0.237737i
\(399\) −17.6250 7.84714i −0.882352 0.392848i
\(400\) −34.3158 38.1116i −1.71579 1.90558i
\(401\) 4.09689 19.2744i 0.204589 0.962516i −0.749271 0.662264i \(-0.769596\pi\)
0.953860 0.300252i \(-0.0970708\pi\)
\(402\) −8.09913 −0.403948
\(403\) 18.7308 + 7.22208i 0.933046 + 0.359757i
\(404\) 23.4865 1.16850
\(405\) −0.996505 + 4.68819i −0.0495167 + 0.232958i
\(406\) 1.84612 + 2.05032i 0.0916212 + 0.101756i
\(407\) 1.44511 + 0.643403i 0.0716313 + 0.0318923i
\(408\) 8.76498i 0.433931i
\(409\) 9.55174 5.51470i 0.472303 0.272684i −0.244900 0.969548i \(-0.578755\pi\)
0.717203 + 0.696864i \(0.245422\pi\)
\(410\) −5.65305 + 12.6970i −0.279184 + 0.627058i
\(411\) −12.1454 + 16.7167i −0.599087 + 0.824573i
\(412\) 2.15981 20.5492i 0.106406 1.01239i
\(413\) 5.93743 + 1.26204i 0.292162 + 0.0621009i
\(414\) 2.12189 0.223020i 0.104285 0.0109608i
\(415\) −15.5510 47.8612i −0.763370 2.34941i
\(416\) 0.226805 10.9232i 0.0111200 0.535553i
\(417\) 32.4733 + 23.5932i 1.59022 + 1.15537i
\(418\) −0.782544 + 0.704606i −0.0382755 + 0.0344634i
\(419\) −17.2473 19.1550i −0.842585 0.935785i 0.156064 0.987747i \(-0.450119\pi\)
−0.998649 + 0.0519616i \(0.983453\pi\)
\(420\) −3.41622 + 32.5032i −0.166695 + 1.58599i
\(421\) 10.7370 + 3.48868i 0.523292 + 0.170028i 0.558739 0.829344i \(-0.311286\pi\)
−0.0354471 + 0.999372i \(0.511286\pi\)
\(422\) −1.54787 1.39370i −0.0753489 0.0678445i
\(423\) −3.51092 + 7.88567i −0.170707 + 0.383414i
\(424\) 5.80010 1.88457i 0.281678 0.0915227i
\(425\) 4.45043 42.3430i 0.215878 2.05394i
\(426\) 1.23769 0.551056i 0.0599664 0.0266988i
\(427\) −0.0629763 + 0.00661908i −0.00304764 + 0.000320319i
\(428\) 3.30076 0.159548
\(429\) 7.76165 2.34493i 0.374736 0.113214i
\(430\) −1.58863 + 1.15421i −0.0766106 + 0.0556609i
\(431\) −24.9892 + 22.5004i −1.20369 + 1.08380i −0.209315 + 0.977848i \(0.567124\pi\)
−0.994371 + 0.105956i \(0.966210\pi\)
\(432\) 19.9770 + 4.24624i 0.961143 + 0.204297i
\(433\) −12.6990 21.9954i −0.610277 1.05703i −0.991194 0.132421i \(-0.957725\pi\)
0.380917 0.924609i \(-0.375608\pi\)
\(434\) 0.876605 1.80563i 0.0420784 0.0866732i
\(435\) 82.4406 47.5971i 3.95272 2.28211i
\(436\) 18.2457 + 16.4285i 0.873809 + 0.786781i
\(437\) 7.65279 + 2.48654i 0.366082 + 0.118947i
\(438\) 1.96200 + 0.873540i 0.0937481 + 0.0417394i
\(439\) 2.55810 4.43076i 0.122091 0.211469i −0.798501 0.601994i \(-0.794373\pi\)
0.920592 + 0.390525i \(0.127707\pi\)
\(440\) 3.14577 + 1.81621i 0.149969 + 0.0865845i
\(441\) −20.8714 + 15.1639i −0.993874 + 0.722092i
\(442\) 2.15016 1.85665i 0.102273 0.0883121i
\(443\) −11.8395 8.60194i −0.562514 0.408690i 0.269864 0.962898i \(-0.413021\pi\)
−0.832378 + 0.554208i \(0.813021\pi\)
\(444\) −2.26164 + 10.6402i −0.107333 + 0.504961i
\(445\) 7.76935 + 73.9204i 0.368302 + 3.50416i
\(446\) 2.23528 2.48253i 0.105844 0.117551i
\(447\) −9.71009 3.15500i −0.459272 0.149226i
\(448\) 8.61993 + 0.905991i 0.407253 + 0.0428041i
\(449\) 6.13511 + 28.8634i 0.289534 + 1.36215i 0.846842 + 0.531844i \(0.178501\pi\)
−0.557308 + 0.830306i \(0.688166\pi\)
\(450\) −18.0624 5.86884i −0.851472 0.276660i
\(451\) −0.991960 + 9.43787i −0.0467096 + 0.444412i
\(452\) −9.49198 10.5419i −0.446465 0.495850i
\(453\) −0.346182 + 1.62866i −0.0162651 + 0.0765211i
\(454\) 1.76889 1.28517i 0.0830180 0.0603161i
\(455\) −17.7101 + 12.3137i −0.830264 + 0.577274i
\(456\) −11.9293 8.66716i −0.558642 0.405877i
\(457\) 10.0035 + 22.4682i 0.467944 + 1.05102i 0.981237 + 0.192806i \(0.0617589\pi\)
−0.513293 + 0.858214i \(0.671574\pi\)
\(458\) −0.0239856 0.228208i −0.00112077 0.0106634i
\(459\) 8.47773 + 14.6839i 0.395706 + 0.685384i
\(460\) 13.6310i 0.635547i
\(461\) −2.21337 + 4.97131i −0.103087 + 0.231537i −0.957724 0.287689i \(-0.907113\pi\)
0.854637 + 0.519226i \(0.173780\pi\)
\(462\) −0.168552 0.792973i −0.00784173 0.0368924i
\(463\) 27.1397 8.81824i 1.26129 0.409818i 0.399337 0.916804i \(-0.369241\pi\)
0.861954 + 0.506986i \(0.169241\pi\)
\(464\) −13.7155 23.7560i −0.636727 1.10284i
\(465\) −54.6507 42.5380i −2.53437 1.97265i
\(466\) 2.04736 + 1.18204i 0.0948421 + 0.0547571i
\(467\) 0.821465 + 2.52821i 0.0380129 + 0.116992i 0.968262 0.249936i \(-0.0804096\pi\)
−0.930249 + 0.366928i \(0.880410\pi\)
\(468\) 16.8100 + 30.5639i 0.777040 + 1.41282i
\(469\) 11.9020 8.64731i 0.549584 0.399296i
\(470\) −1.73504 1.00173i −0.0800314 0.0462061i
\(471\) −23.6850 + 41.0236i −1.09135 + 1.89027i
\(472\) 4.23823 + 1.88698i 0.195080 + 0.0868553i
\(473\) −0.788088 + 1.08471i −0.0362363 + 0.0498750i
\(474\) 1.19023 + 0.125099i 0.0546693 + 0.00574597i
\(475\) −53.2290 47.9276i −2.44231 2.19907i
\(476\) 4.59564 + 6.32535i 0.210641 + 0.289922i
\(477\) −19.6590 + 21.8335i −0.900122 + 0.999686i
\(478\) 3.94663 + 4.38318i 0.180515 + 0.200482i
\(479\) 12.0476 + 27.0592i 0.550467 + 1.23637i 0.947850 + 0.318716i \(0.103252\pi\)
−0.397384 + 0.917653i \(0.630082\pi\)
\(480\) −11.6472 + 35.8463i −0.531618 + 1.63615i
\(481\) −6.29073 + 3.45986i −0.286832 + 0.157756i
\(482\) −0.792731 0.575953i −0.0361079 0.0262339i
\(483\) −4.60368 + 4.14517i −0.209475 + 0.188612i
\(484\) −19.5735 4.16048i −0.889706 0.189113i
\(485\) −23.4270 10.4304i −1.06376 0.473618i
\(486\) −3.52720 + 1.14606i −0.159997 + 0.0519862i
\(487\) 15.8015 + 1.66081i 0.716035 + 0.0752583i 0.455538 0.890216i \(-0.349447\pi\)
0.260497 + 0.965475i \(0.416114\pi\)
\(488\) −0.0481324 0.00505892i −0.00217885 0.000229006i
\(489\) 24.1698 + 33.2669i 1.09300 + 1.50438i
\(490\) −2.99387 5.18554i −0.135249 0.234259i
\(491\) −11.5550 + 20.0139i −0.521471 + 0.903214i 0.478218 + 0.878241i \(0.341283\pi\)
−0.999688 + 0.0249722i \(0.992050\pi\)
\(492\) −64.9007 + 6.82133i −2.92595 + 0.307529i
\(493\) 7.03733 21.6587i 0.316946 0.975458i
\(494\) −0.400784 4.76235i −0.0180321 0.214268i
\(495\) −17.4991 −0.786528
\(496\) −12.2577 + 15.7481i −0.550386 + 0.707109i
\(497\) −1.23049 + 2.13127i −0.0551949 + 0.0956003i
\(498\) −5.74388 + 6.37922i −0.257389 + 0.285860i
\(499\) 17.9823 + 5.84279i 0.804996 + 0.261559i 0.682477 0.730907i \(-0.260903\pi\)
0.122519 + 0.992466i \(0.460903\pi\)
\(500\) −32.1057 + 72.1107i −1.43581 + 3.22489i
\(501\) 41.6649 24.0553i 1.86145 1.07471i
\(502\) 6.61322i 0.295162i
\(503\) −12.4875 5.55979i −0.556790 0.247899i 0.108995 0.994042i \(-0.465237\pi\)
−0.665785 + 0.746143i \(0.731903\pi\)
\(504\) 6.48795 2.88862i 0.288996 0.128669i
\(505\) −21.7506 48.8526i −0.967888 2.17391i
\(506\) 0.104484 + 0.321570i 0.00464490 + 0.0142955i
\(507\) −12.8146 + 34.4960i −0.569114 + 1.53202i
\(508\) −1.99959 6.15412i −0.0887176 0.273045i
\(509\) −19.2100 + 17.2968i −0.851468 + 0.766665i −0.974179 0.225777i \(-0.927508\pi\)
0.122711 + 0.992442i \(0.460841\pi\)
\(510\) −8.95306 + 3.98616i −0.396448 + 0.176510i
\(511\) −3.81591 + 0.811097i −0.168806 + 0.0358808i
\(512\) 17.4237 + 5.66130i 0.770025 + 0.250196i
\(513\) 28.3682 + 2.98161i 1.25249 + 0.131642i
\(514\) 0.243700 + 1.14652i 0.0107491 + 0.0505707i
\(515\) −44.7431 + 14.5379i −1.97162 + 0.640617i
\(516\) −8.42289 3.75011i −0.370797 0.165089i
\(517\) −1.33805 0.284412i −0.0588475 0.0125084i
\(518\) 0.291967 + 0.655770i 0.0128283 + 0.0288129i
\(519\) 38.8921 + 28.2567i 1.70717 + 1.24033i
\(520\) −15.1967 + 6.39136i −0.666418 + 0.280280i
\(521\) 10.4918 0.459656 0.229828 0.973231i \(-0.426184\pi\)
0.229828 + 0.973231i \(0.426184\pi\)
\(522\) −8.79749 5.07924i −0.385056 0.222312i
\(523\) −2.36146 22.4678i −0.103260 0.982450i −0.916368 0.400337i \(-0.868893\pi\)
0.813108 0.582113i \(-0.197774\pi\)
\(524\) 30.7895 6.54450i 1.34504 0.285898i
\(525\) 52.4445 17.0402i 2.28887 0.743697i
\(526\) 1.00385 0.579572i 0.0437699 0.0252706i
\(527\) −16.5252 + 1.18577i −0.719851 + 0.0516528i
\(528\) 8.06023i 0.350777i
\(529\) −13.6612 + 15.1722i −0.593963 + 0.659663i
\(530\) −4.56279 5.06750i −0.198195 0.220118i
\(531\) −22.2274 + 2.33619i −0.964587 + 0.101382i
\(532\) 13.1533 0.570268
\(533\) −31.4023 29.4779i −1.36018 1.27683i
\(534\) 10.2571 7.45222i 0.443868 0.322489i
\(535\) −3.05679 6.86566i −0.132156 0.296828i
\(536\) 10.2719 4.57337i 0.443681 0.197539i
\(537\) 11.8541 13.1653i 0.511542 0.568125i
\(538\) −3.71428 5.11226i −0.160134 0.220405i
\(539\) −3.03828 2.73568i −0.130868 0.117834i
\(540\) −10.0464 47.2645i −0.432327 2.03394i
\(541\) −18.9650 + 26.1031i −0.815371 + 1.12226i 0.175101 + 0.984550i \(0.443975\pi\)
−0.990472 + 0.137712i \(0.956025\pi\)
\(542\) 3.84716 0.817739i 0.165250 0.0351249i
\(543\) −20.7554 23.0513i −0.890701 0.989224i
\(544\) 3.66747 + 8.23727i 0.157242 + 0.353170i
\(545\) 17.2746 53.1657i 0.739961 2.27737i
\(546\) 3.32947 + 1.56598i 0.142488 + 0.0670180i
\(547\) −36.9593 + 26.8525i −1.58027 + 1.14813i −0.663878 + 0.747841i \(0.731091\pi\)
−0.916389 + 0.400290i \(0.868909\pi\)
\(548\) 2.92892 13.7795i 0.125117 0.588631i
\(549\) 0.212997 0.0948323i 0.00909049 0.00404734i
\(550\) 0.314605 2.99326i 0.0134148 0.127633i
\(551\) −22.5191 30.9949i −0.959348 1.32043i
\(552\) −4.10037 + 2.36735i −0.174523 + 0.100761i
\(553\) −1.88266 + 1.08696i −0.0800591 + 0.0462221i
\(554\) 0.836412 + 1.15122i 0.0355358 + 0.0489108i
\(555\) 24.2264 5.14947i 1.02835 0.218583i
\(556\) −26.7676 5.68963i −1.13520 0.241294i
\(557\) −10.3997 6.00427i −0.440649 0.254409i 0.263224 0.964735i \(-0.415214\pi\)
−0.703873 + 0.710326i \(0.748548\pi\)
\(558\) −1.01523 + 7.32030i −0.0429780 + 0.309893i
\(559\) −1.75988 5.82515i −0.0744351 0.246378i
\(560\) −6.62619 20.3933i −0.280008 0.861775i
\(561\) −4.97285 + 4.47757i −0.209954 + 0.189043i
\(562\) 0.164736 + 1.56736i 0.00694897 + 0.0661151i
\(563\) −14.1534 24.5144i −0.596494 1.03316i −0.993334 0.115270i \(-0.963227\pi\)
0.396840 0.917888i \(-0.370107\pi\)
\(564\) 9.40684i 0.396100i
\(565\) −13.1371 + 29.5063i −0.552680 + 1.24134i
\(566\) 4.25797 + 0.447530i 0.178976 + 0.0188111i
\(567\) −0.872892 + 1.20143i −0.0366580 + 0.0504554i
\(568\) −1.25857 + 1.39779i −0.0528085 + 0.0586498i
\(569\) −0.176422 1.67854i −0.00739598 0.0703681i 0.990201 0.139647i \(-0.0445968\pi\)
−0.997597 + 0.0692790i \(0.977930\pi\)
\(570\) −3.42790 + 16.1270i −0.143579 + 0.675485i
\(571\) 10.7760 33.1650i 0.450961 1.38791i −0.424852 0.905263i \(-0.639674\pi\)
0.875813 0.482651i \(-0.160326\pi\)
\(572\) −4.18390 + 3.61279i −0.174938 + 0.151058i
\(573\) 13.7874 42.4331i 0.575975 1.77267i
\(574\) −3.20025 + 2.88152i −0.133576 + 0.120272i
\(575\) −21.0106 + 9.35453i −0.876204 + 0.390111i
\(576\) −31.2158 + 6.63512i −1.30066 + 0.276463i
\(577\) 35.2706 11.4601i 1.46834 0.477091i 0.537731 0.843117i \(-0.319282\pi\)
0.930605 + 0.366026i \(0.119282\pi\)
\(578\) 0.877249 1.97033i 0.0364887 0.0819550i
\(579\) 30.4259 + 27.3956i 1.26446 + 1.13852i
\(580\) −38.1475 + 52.5055i −1.58399 + 2.18017i
\(581\) 1.62987 15.5072i 0.0676184 0.643346i
\(582\) 0.457233 + 4.35028i 0.0189529 + 0.180325i
\(583\) −4.03219 2.32798i −0.166996 0.0964153i
\(584\) −2.98163 −0.123381
\(585\) 48.0063 63.2700i 1.98481 2.61589i
\(586\) 1.56817 4.82633i 0.0647804 0.199374i
\(587\) 4.96882 23.3765i 0.205085 0.964850i −0.748362 0.663290i \(-0.769159\pi\)
0.953447 0.301560i \(-0.0975072\pi\)
\(588\) 14.0572 24.3478i 0.579709 1.00409i
\(589\) −14.7270 + 23.6638i −0.606815 + 0.975048i
\(590\) 5.18734i 0.213559i
\(591\) −27.4179 24.6872i −1.12782 1.01550i
\(592\) −1.48386 6.98103i −0.0609864 0.286919i
\(593\) −1.19069 1.63884i −0.0488957 0.0672992i 0.783869 0.620926i \(-0.213243\pi\)
−0.832765 + 0.553627i \(0.813243\pi\)
\(594\) 0.599298 + 1.03801i 0.0245895 + 0.0425902i
\(595\) 8.90093 15.4169i 0.364903 0.632030i
\(596\) 6.92258 0.727592i 0.283560 0.0298033i
\(597\) −41.0204 29.8031i −1.67885 1.21976i
\(598\) −1.44931 0.504404i −0.0592665 0.0206266i
\(599\) −2.85505 8.78693i −0.116654 0.359024i 0.875634 0.482975i \(-0.160444\pi\)
−0.992288 + 0.123950i \(0.960444\pi\)
\(600\) 41.9149 4.40543i 1.71117 0.179851i
\(601\) 32.8585 + 6.98428i 1.34032 + 0.284895i 0.821609 0.570052i \(-0.193077\pi\)
0.518716 + 0.854947i \(0.326410\pi\)
\(602\) −0.595129 + 0.126499i −0.0242557 + 0.00515570i
\(603\) −31.8392 + 43.8228i −1.29659 + 1.78460i
\(604\) −0.236016 1.11037i −0.00960335 0.0451802i
\(605\) 9.47288 + 44.5664i 0.385127 + 1.81188i
\(606\) −5.36159 + 7.37959i −0.217800 + 0.299775i
\(607\) −11.3763 + 2.41811i −0.461750 + 0.0981480i −0.432912 0.901436i \(-0.642514\pi\)
−0.0288379 + 0.999584i \(0.509181\pi\)
\(608\) 14.8377 + 3.15384i 0.601746 + 0.127905i
\(609\) 29.3337 3.08309i 1.18866 0.124933i
\(610\) 0.0167223 + 0.0514659i 0.000677066 + 0.00208379i
\(611\) 4.69907 4.05763i 0.190104 0.164154i
\(612\) −23.2898 16.9210i −0.941433 0.683991i
\(613\) −31.6925 + 3.33102i −1.28005 + 0.134539i −0.720031 0.693942i \(-0.755872\pi\)
−0.560018 + 0.828480i \(0.689206\pi\)
\(614\) 0.232168 0.402128i 0.00936956 0.0162285i
\(615\) 74.2922 + 128.678i 2.99575 + 5.18879i
\(616\) 0.661541 + 0.910533i 0.0266542 + 0.0366864i
\(617\) 3.36707 + 15.8408i 0.135553 + 0.637728i 0.992492 + 0.122310i \(0.0390301\pi\)
−0.856939 + 0.515418i \(0.827637\pi\)
\(618\) 5.96362 + 5.36967i 0.239892 + 0.216000i
\(619\) 38.4264i 1.54449i −0.635327 0.772243i \(-0.719135\pi\)
0.635327 0.772243i \(-0.280865\pi\)
\(620\) 45.8337 + 11.3391i 1.84072 + 0.455390i
\(621\) 4.57953 7.93198i 0.183770 0.318299i
\(622\) −0.662427 + 3.11647i −0.0265609 + 0.124959i
\(623\) −7.11662 + 21.9027i −0.285121 + 0.877513i
\(624\) −29.1426 22.1120i −1.16664 0.885190i
\(625\) 108.184 4.32735
\(626\) 3.95297 + 2.28225i 0.157993 + 0.0912171i
\(627\) 1.17672 + 11.1958i 0.0469937 + 0.447115i
\(628\) 3.37578 32.1184i 0.134708 1.28167i
\(629\) 3.48271 4.79354i 0.138865 0.191131i
\(630\) −5.90122 5.31348i −0.235110 0.211694i
\(631\) 1.18531 2.66226i 0.0471866 0.105983i −0.888414 0.459043i \(-0.848192\pi\)
0.935601 + 0.353060i \(0.114859\pi\)
\(632\) −1.58019 + 0.513434i −0.0628565 + 0.0204233i
\(633\) −21.7805 + 4.62959i −0.865698 + 0.184010i
\(634\) −4.77454 + 2.12576i −0.189621 + 0.0844247i
\(635\) −10.9489 + 9.85845i −0.434495 + 0.391221i
\(636\) 9.89390 30.4503i 0.392319 1.20743i
\(637\) 18.2262 3.48029i 0.722147 0.137894i
\(638\) 0.497475 1.53107i 0.0196952 0.0606157i
\(639\) 1.88394 8.86322i 0.0745274 0.350624i
\(640\) −3.55784 33.8506i −0.140636 1.33806i
\(641\) −14.3804 + 15.9711i −0.567993 + 0.630820i −0.956886 0.290463i \(-0.906191\pi\)
0.388894 + 0.921283i \(0.372857\pi\)
\(642\) −0.753508 + 1.03711i −0.0297386 + 0.0409317i
\(643\) 42.1666 + 4.43189i 1.66289 + 0.174777i 0.888798 0.458299i \(-0.151541\pi\)
0.774090 + 0.633076i \(0.218208\pi\)
\(644\) 1.71784 3.85832i 0.0676922 0.152039i
\(645\) 20.9928i 0.826589i
\(646\) 1.97212 + 3.41582i 0.0775922 + 0.134394i
\(647\) 2.85652 + 27.1779i 0.112301 + 1.06848i 0.894997 + 0.446071i \(0.147177\pi\)
−0.782696 + 0.622404i \(0.786156\pi\)
\(648\) −0.843481 + 0.759474i −0.0331351 + 0.0298349i
\(649\) −1.09450 3.36853i −0.0429630 0.132227i
\(650\) 9.95939 + 9.34905i 0.390639 + 0.366700i
\(651\) −10.1084 18.9279i −0.396178 0.741844i
\(652\) −24.2785 14.0172i −0.950818 0.548955i
\(653\) −6.86909 1.46007i −0.268808 0.0571369i 0.0715355 0.997438i \(-0.477210\pi\)
−0.340344 + 0.940301i \(0.610543\pi\)
\(654\) −9.32709 + 1.98254i −0.364718 + 0.0775233i
\(655\) −42.1265 57.9821i −1.64602 2.26555i
\(656\) 37.0796 21.4079i 1.44772 0.835839i
\(657\) 12.4396 7.18198i 0.485313 0.280196i
\(658\) −0.364870 0.502201i −0.0142241 0.0195778i
\(659\) −2.91437 + 27.7283i −0.113528 + 1.08014i 0.778339 + 0.627844i \(0.216063\pi\)
−0.891867 + 0.452299i \(0.850604\pi\)
\(660\) 17.4214 7.75650i 0.678127 0.301921i
\(661\) 5.51131 25.9287i 0.214365 1.00851i −0.730971 0.682409i \(-0.760932\pi\)
0.945336 0.326099i \(-0.105734\pi\)
\(662\) −5.40530 + 3.92718i −0.210083 + 0.152634i
\(663\) −2.54687 30.2634i −0.0989123 1.17533i
\(664\) 3.68265 11.3340i 0.142915 0.439846i
\(665\) −12.1811 27.3592i −0.472363 1.06094i
\(666\) −1.76853 1.96415i −0.0685291 0.0761093i
\(667\) −12.0329 + 2.55768i −0.465917 + 0.0990337i
\(668\) −19.2795 + 26.5359i −0.745945 + 1.02671i
\(669\) −7.42512 34.9325i −0.287072 1.35057i
\(670\) −9.34301 8.41248i −0.360952 0.325003i
\(671\) 0.0217181 + 0.0298924i 0.000838419 + 0.00115398i
\(672\) −7.81431 + 8.67867i −0.301443 + 0.334787i
\(673\) −7.29127 + 3.24628i −0.281058 + 0.125135i −0.542424 0.840105i \(-0.682493\pi\)
0.261367 + 0.965240i \(0.415827\pi\)
\(674\) −1.24499 2.79630i −0.0479553 0.107709i
\(675\) −65.9584 + 47.9216i −2.53874 + 1.84450i
\(676\) −1.58450 25.0385i −0.0609424 0.963018i
\(677\) −15.3933 −0.591613 −0.295806 0.955248i \(-0.595588\pi\)
−0.295806 + 0.955248i \(0.595588\pi\)
\(678\) 5.47919 0.575886i 0.210427 0.0221168i
\(679\) −5.31665 5.90474i −0.204034 0.226603i
\(680\) 9.10409 10.1111i 0.349126 0.387744i
\(681\) 23.3747i 0.895721i
\(682\) −1.16818 + 0.0838228i −0.0447321 + 0.00320974i
\(683\) −17.5873 + 10.1540i −0.672959 + 0.388533i −0.797197 0.603720i \(-0.793685\pi\)
0.124238 + 0.992252i \(0.460351\pi\)
\(684\) −46.0597 + 14.9657i −1.76114 + 0.572228i
\(685\) −31.3741 + 6.66878i −1.19874 + 0.254801i
\(686\) −0.457705 4.35477i −0.0174752 0.166266i
\(687\) −2.12447 1.22656i −0.0810535 0.0467963i
\(688\) 6.04924 0.230625
\(689\) 19.4788 8.19232i 0.742082 0.312103i
\(690\) 4.28292 + 3.11173i 0.163048 + 0.118461i
\(691\) −0.734793 1.65037i −0.0279528 0.0627831i 0.899030 0.437888i \(-0.144273\pi\)
−0.926982 + 0.375105i \(0.877607\pi\)
\(692\) −32.0586 6.81426i −1.21868 0.259039i
\(693\) −4.95323 2.20532i −0.188158 0.0837732i
\(694\) 7.88886 2.56325i 0.299457 0.0972995i
\(695\) 12.9546 + 60.9464i 0.491394 + 2.31183i
\(696\) 22.4195 + 2.35639i 0.849810 + 0.0893186i
\(697\) 33.8061 + 10.9843i 1.28050 + 0.416059i
\(698\) 7.30766 1.55329i 0.276599 0.0587930i
\(699\) 23.0886 10.2797i 0.873291 0.388814i
\(700\) −27.9385 + 25.1560i −1.05598 + 0.950806i
\(701\) 10.4321 + 32.1067i 0.394016 + 1.21266i 0.929726 + 0.368253i \(0.120044\pi\)
−0.535710 + 0.844402i \(0.679956\pi\)
\(702\) −5.39713 0.680811i −0.203702 0.0256956i
\(703\) −3.08027 9.48010i −0.116175 0.357549i
\(704\) −2.05704 4.62020i −0.0775278 0.174130i
\(705\) −19.5665 + 8.71156i −0.736916 + 0.328096i
\(706\) −1.77571 0.790599i −0.0668299 0.0297546i
\(707\) 16.5691i 0.623145i
\(708\) 21.0931 12.1781i 0.792727 0.457681i
\(709\) −2.62214 + 5.88942i −0.0984764 + 0.221182i −0.956065 0.293154i \(-0.905295\pi\)
0.857589 + 0.514336i \(0.171962\pi\)
\(710\) 2.00016 + 0.649890i 0.0750646 + 0.0243900i
\(711\) 5.35591 5.94835i 0.200862 0.223080i
\(712\) −8.80079 + 15.2434i −0.329823 + 0.571271i
\(713\) 5.01805 + 7.41045i 0.187927 + 0.277524i
\(714\) −3.03657 −0.113641
\(715\) 11.3893 + 5.35687i 0.425938 + 0.200336i
\(716\) −3.73230 + 11.4868i −0.139482 + 0.429283i
\(717\) 62.7096 6.59104i 2.34193 0.246147i
\(718\) 0.884955 1.53279i 0.0330262 0.0572031i
\(719\) 0.761852 + 1.31957i 0.0284123 + 0.0492115i 0.879882 0.475192i \(-0.157622\pi\)
−0.851470 + 0.524404i \(0.824288\pi\)
\(720\) 46.4067 + 63.8734i 1.72948 + 2.38042i
\(721\) −14.4969 1.52369i −0.539893 0.0567450i
\(722\) 1.59578 + 0.167723i 0.0593887 + 0.00624201i
\(723\) −9.96273 + 3.23709i −0.370518 + 0.120389i
\(724\) 19.3191 + 8.60143i 0.717990 + 0.319670i
\(725\) 107.111 + 22.7671i 3.97799 + 0.845549i
\(726\) 5.77556 5.20033i 0.214351 0.193002i
\(727\) −12.2476 8.89844i −0.454240 0.330025i 0.337027 0.941495i \(-0.390578\pi\)
−0.791268 + 0.611470i \(0.790578\pi\)
\(728\) −5.10697 0.106039i −0.189277 0.00393008i
\(729\) −13.2633 + 40.8201i −0.491232 + 1.51186i
\(730\) 1.35599 + 3.04561i 0.0501876 + 0.112723i
\(731\) 3.36044 + 3.73214i 0.124290 + 0.138038i
\(732\) −0.170016 + 0.188822i −0.00628397 + 0.00697906i
\(733\) 3.96407 + 5.45608i 0.146416 + 0.201525i 0.875926 0.482446i \(-0.160252\pi\)
−0.729509 + 0.683971i \(0.760252\pi\)
\(734\) 6.88426 + 6.19861i 0.254102 + 0.228795i
\(735\) −63.6622 6.69117i −2.34822 0.246807i
\(736\) 2.86295 3.94051i 0.105530 0.145249i
\(737\) −7.84212 3.49154i −0.288868 0.128612i
\(738\) 7.92795 13.7316i 0.291832 0.505468i
\(739\) −14.0089 8.08807i −0.515327 0.297524i 0.219693 0.975569i \(-0.429494\pi\)
−0.735021 + 0.678045i \(0.762828\pi\)
\(740\) −13.6609 + 9.92519i −0.502183 + 0.364857i
\(741\) −43.7076 26.4593i −1.60564 0.972007i
\(742\) −0.652895 2.00941i −0.0239685 0.0737676i
\(743\) −22.6612 13.0835i −0.831360 0.479986i 0.0229581 0.999736i \(-0.492692\pi\)
−0.854318 + 0.519751i \(0.826025\pi\)
\(744\) −4.54918 15.7566i −0.166781 0.577667i
\(745\) −7.92432 13.7253i −0.290325 0.502857i
\(746\) 2.46325 0.800357i 0.0901858 0.0293031i
\(747\) 11.9365 + 56.1569i 0.436734 + 2.05467i
\(748\) 1.85559 4.16772i 0.0678470 0.152387i
\(749\) 2.32859i 0.0850849i
\(750\) −15.3283 26.5495i −0.559712 0.969450i
\(751\) 2.29839 + 21.8677i 0.0838693 + 0.797963i 0.952916 + 0.303233i \(0.0980662\pi\)
−0.869047 + 0.494729i \(0.835267\pi\)
\(752\) 2.51031 + 5.63825i 0.0915416 + 0.205606i
\(753\) 57.1972 + 41.5562i 2.08438 + 1.51439i
\(754\) 4.17100 + 5.99893i 0.151899 + 0.218468i