Properties

Label 273.2.by.d.202.4
Level $273$
Weight $2$
Character 273.202
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 202.4
Character \(\chi\) \(=\) 273.202
Dual form 273.2.by.d.223.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.11595 + 0.299019i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.576113 + 0.332619i) q^{4} +(0.549341 - 0.549341i) q^{5} +(-1.11595 - 0.299019i) q^{6} +(1.61214 - 2.09786i) q^{7} +(2.17732 - 2.17732i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-1.11595 + 0.299019i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.576113 + 0.332619i) q^{4} +(0.549341 - 0.549341i) q^{5} +(-1.11595 - 0.299019i) q^{6} +(1.61214 - 2.09786i) q^{7} +(2.17732 - 2.17732i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.448776 + 0.777302i) q^{10} +(-0.824353 - 3.07653i) q^{11} -0.665238 q^{12} +(2.63686 + 2.45905i) q^{13} +(-1.17177 + 2.82317i) q^{14} +(0.750414 - 0.201073i) q^{15} +(-1.11349 + 1.92862i) q^{16} +(1.74975 + 3.03065i) q^{17} +(-0.816934 - 0.816934i) q^{18} +(6.06267 + 1.62449i) q^{19} +(-0.133761 + 0.499204i) q^{20} +(2.44508 - 1.01073i) q^{21} +(1.83988 + 3.18676i) q^{22} +(-4.89067 - 2.82363i) q^{23} +(2.97428 - 0.796956i) q^{24} +4.39645i q^{25} +(-3.67792 - 1.95572i) q^{26} +1.00000i q^{27} +(-0.230987 + 1.74483i) q^{28} +(4.54654 - 7.87483i) q^{29} +(-0.777302 + 0.448776i) q^{30} +(-0.888029 + 0.888029i) q^{31} +(-0.928002 + 3.46335i) q^{32} +(0.824353 - 3.07653i) q^{33} +(-2.85886 - 2.85886i) q^{34} +(-0.266825 - 2.03806i) q^{35} +(-0.576113 - 0.332619i) q^{36} +(0.151142 + 0.564068i) q^{37} -7.25141 q^{38} +(1.05406 + 3.44804i) q^{39} -2.39219i q^{40} +(0.704976 + 2.63101i) q^{41} +(-2.42637 + 1.85905i) q^{42} +(6.60921 - 3.81583i) q^{43} +(1.49823 + 1.49823i) q^{44} +(0.750414 + 0.201073i) q^{45} +(6.30208 + 1.68864i) q^{46} +(0.267009 + 0.267009i) q^{47} +(-1.92862 + 1.11349i) q^{48} +(-1.80201 - 6.76408i) q^{49} +(-1.31462 - 4.90623i) q^{50} +3.49950i q^{51} +(-2.33706 - 0.539622i) q^{52} -11.6025 q^{53} +(-0.299019 - 1.11595i) q^{54} +(-2.14292 - 1.23721i) q^{55} +(-1.05756 - 8.07786i) q^{56} +(4.43818 + 4.43818i) q^{57} +(-2.71900 + 10.1474i) q^{58} +(0.635122 - 2.37031i) q^{59} +(-0.365443 + 0.365443i) q^{60} +(-6.70242 + 3.86964i) q^{61} +(0.725461 - 1.25654i) q^{62} +(2.62287 + 0.347225i) q^{63} -8.59639i q^{64} +(2.79940 - 0.0976783i) q^{65} +3.67976i q^{66} +(-6.90457 + 1.85007i) q^{67} +(-2.01610 - 1.16400i) q^{68} +(-2.82363 - 4.89067i) q^{69} +(0.907181 + 2.19459i) q^{70} +(-2.51079 + 9.37039i) q^{71} +(2.97428 + 0.796956i) q^{72} +(-7.71628 - 7.71628i) q^{73} +(-0.337334 - 0.584279i) q^{74} +(-2.19822 + 3.80744i) q^{75} +(-4.03312 + 1.08067i) q^{76} +(-7.78309 - 3.23042i) q^{77} +(-2.20731 - 3.53266i) q^{78} -10.8188 q^{79} +(0.447786 + 1.67116i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-1.57344 - 2.72528i) q^{82} +(10.3355 - 10.3355i) q^{83} +(-1.07246 + 1.39557i) q^{84} +(2.62607 + 0.703654i) q^{85} +(-6.23456 + 6.23456i) q^{86} +(7.87483 - 4.54654i) q^{87} +(-8.49348 - 4.90371i) q^{88} +(-7.02589 + 1.88258i) q^{89} -0.897552 q^{90} +(9.40974 - 1.56743i) q^{91} +3.75677 q^{92} +(-1.21307 + 0.325041i) q^{93} +(-0.377810 - 0.218129i) q^{94} +(4.22288 - 2.43808i) q^{95} +(-2.53535 + 2.53535i) q^{96} +(-0.704543 - 0.188782i) q^{97} +(4.03355 + 7.00956i) q^{98} +(2.25217 - 2.25217i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11595 + 0.299019i −0.789098 + 0.211438i −0.630792 0.775952i \(-0.717270\pi\)
−0.158306 + 0.987390i \(0.550603\pi\)
\(3\) 0.866025 + 0.500000i 0.500000 + 0.288675i
\(4\) −0.576113 + 0.332619i −0.288056 + 0.166309i
\(5\) 0.549341 0.549341i 0.245673 0.245673i −0.573519 0.819192i \(-0.694422\pi\)
0.819192 + 0.573519i \(0.194422\pi\)
\(6\) −1.11595 0.299019i −0.455586 0.122074i
\(7\) 1.61214 2.09786i 0.609331 0.792916i
\(8\) 2.17732 2.17732i 0.769800 0.769800i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −0.448776 + 0.777302i −0.141915 + 0.245805i
\(11\) −0.824353 3.07653i −0.248552 0.927608i −0.971565 0.236774i \(-0.923910\pi\)
0.723013 0.690834i \(-0.242757\pi\)
\(12\) −0.665238 −0.192038
\(13\) 2.63686 + 2.45905i 0.731335 + 0.682019i
\(14\) −1.17177 + 2.82317i −0.313170 + 0.754524i
\(15\) 0.750414 0.201073i 0.193756 0.0519168i
\(16\) −1.11349 + 1.92862i −0.278373 + 0.482156i
\(17\) 1.74975 + 3.03065i 0.424376 + 0.735041i 0.996362 0.0852225i \(-0.0271601\pi\)
−0.571986 + 0.820263i \(0.693827\pi\)
\(18\) −0.816934 0.816934i −0.192553 0.192553i
\(19\) 6.06267 + 1.62449i 1.39087 + 0.372683i 0.875058 0.484017i \(-0.160823\pi\)
0.515814 + 0.856701i \(0.327490\pi\)
\(20\) −0.133761 + 0.499204i −0.0299099 + 0.111625i
\(21\) 2.44508 1.01073i 0.533561 0.220559i
\(22\) 1.83988 + 3.18676i 0.392263 + 0.679420i
\(23\) −4.89067 2.82363i −1.01978 0.588768i −0.105737 0.994394i \(-0.533720\pi\)
−0.914039 + 0.405626i \(0.867053\pi\)
\(24\) 2.97428 0.796956i 0.607122 0.162678i
\(25\) 4.39645i 0.879290i
\(26\) −3.67792 1.95572i −0.721299 0.383548i
\(27\) 1.00000i 0.192450i
\(28\) −0.230987 + 1.74483i −0.0436525 + 0.329742i
\(29\) 4.54654 7.87483i 0.844271 1.46232i −0.0419819 0.999118i \(-0.513367\pi\)
0.886253 0.463202i \(-0.153299\pi\)
\(30\) −0.777302 + 0.448776i −0.141915 + 0.0819349i
\(31\) −0.888029 + 0.888029i −0.159495 + 0.159495i −0.782343 0.622848i \(-0.785975\pi\)
0.622848 + 0.782343i \(0.285975\pi\)
\(32\) −0.928002 + 3.46335i −0.164049 + 0.612239i
\(33\) 0.824353 3.07653i 0.143501 0.535555i
\(34\) −2.85886 2.85886i −0.490290 0.490290i
\(35\) −0.266825 2.03806i −0.0451017 0.344494i
\(36\) −0.576113 0.332619i −0.0960188 0.0554365i
\(37\) 0.151142 + 0.564068i 0.0248475 + 0.0927322i 0.977236 0.212155i \(-0.0680480\pi\)
−0.952389 + 0.304887i \(0.901381\pi\)
\(38\) −7.25141 −1.17633
\(39\) 1.05406 + 3.44804i 0.168785 + 0.552128i
\(40\) 2.39219i 0.378238i
\(41\) 0.704976 + 2.63101i 0.110099 + 0.410894i 0.998874 0.0474499i \(-0.0151095\pi\)
−0.888775 + 0.458344i \(0.848443\pi\)
\(42\) −2.42637 + 1.85905i −0.374397 + 0.286858i
\(43\) 6.60921 3.81583i 1.00790 0.581909i 0.0973205 0.995253i \(-0.468973\pi\)
0.910575 + 0.413344i \(0.135639\pi\)
\(44\) 1.49823 + 1.49823i 0.225867 + 0.225867i
\(45\) 0.750414 + 0.201073i 0.111865 + 0.0299742i
\(46\) 6.30208 + 1.68864i 0.929191 + 0.248976i
\(47\) 0.267009 + 0.267009i 0.0389472 + 0.0389472i 0.726312 0.687365i \(-0.241233\pi\)
−0.687365 + 0.726312i \(0.741233\pi\)
\(48\) −1.92862 + 1.11349i −0.278373 + 0.160719i
\(49\) −1.80201 6.76408i −0.257430 0.966297i
\(50\) −1.31462 4.90623i −0.185915 0.693845i
\(51\) 3.49950i 0.490027i
\(52\) −2.33706 0.539622i −0.324092 0.0748321i
\(53\) −11.6025 −1.59372 −0.796862 0.604161i \(-0.793508\pi\)
−0.796862 + 0.604161i \(0.793508\pi\)
\(54\) −0.299019 1.11595i −0.0406913 0.151862i
\(55\) −2.14292 1.23721i −0.288951 0.166826i
\(56\) −1.05756 8.07786i −0.141323 1.07945i
\(57\) 4.43818 + 4.43818i 0.587852 + 0.587852i
\(58\) −2.71900 + 10.1474i −0.357022 + 1.33242i
\(59\) 0.635122 2.37031i 0.0826858 0.308588i −0.912180 0.409790i \(-0.865602\pi\)
0.994866 + 0.101202i \(0.0322688\pi\)
\(60\) −0.365443 + 0.365443i −0.0471784 + 0.0471784i
\(61\) −6.70242 + 3.86964i −0.858157 + 0.495457i −0.863395 0.504529i \(-0.831666\pi\)
0.00523788 + 0.999986i \(0.498333\pi\)
\(62\) 0.725461 1.25654i 0.0921337 0.159580i
\(63\) 2.62287 + 0.347225i 0.330450 + 0.0437462i
\(64\) 8.59639i 1.07455i
\(65\) 2.79940 0.0976783i 0.347223 0.0121155i
\(66\) 3.67976i 0.452947i
\(67\) −6.90457 + 1.85007i −0.843528 + 0.226023i −0.654607 0.755970i \(-0.727166\pi\)
−0.188921 + 0.981992i \(0.560499\pi\)
\(68\) −2.01610 1.16400i −0.244488 0.141155i
\(69\) −2.82363 4.89067i −0.339925 0.588768i
\(70\) 0.907181 + 2.19459i 0.108429 + 0.262303i
\(71\) −2.51079 + 9.37039i −0.297976 + 1.11206i 0.640849 + 0.767667i \(0.278582\pi\)
−0.938825 + 0.344394i \(0.888084\pi\)
\(72\) 2.97428 + 0.796956i 0.350522 + 0.0939221i
\(73\) −7.71628 7.71628i −0.903122 0.903122i 0.0925826 0.995705i \(-0.470488\pi\)
−0.995705 + 0.0925826i \(0.970488\pi\)
\(74\) −0.337334 0.584279i −0.0392142 0.0679210i
\(75\) −2.19822 + 3.80744i −0.253829 + 0.439645i
\(76\) −4.03312 + 1.08067i −0.462630 + 0.123961i
\(77\) −7.78309 3.23042i −0.886965 0.368140i
\(78\) −2.20731 3.53266i −0.249929 0.399995i
\(79\) −10.8188 −1.21721 −0.608607 0.793472i \(-0.708271\pi\)
−0.608607 + 0.793472i \(0.708271\pi\)
\(80\) 0.447786 + 1.67116i 0.0500640 + 0.186841i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −1.57344 2.72528i −0.173757 0.300956i
\(83\) 10.3355 10.3355i 1.13447 1.13447i 0.145040 0.989426i \(-0.453669\pi\)
0.989426 0.145040i \(-0.0463311\pi\)
\(84\) −1.07246 + 1.39557i −0.117015 + 0.152270i
\(85\) 2.62607 + 0.703654i 0.284837 + 0.0763220i
\(86\) −6.23456 + 6.23456i −0.672290 + 0.672290i
\(87\) 7.87483 4.54654i 0.844271 0.487440i
\(88\) −8.49348 4.90371i −0.905408 0.522737i
\(89\) −7.02589 + 1.88258i −0.744743 + 0.199553i −0.611185 0.791488i \(-0.709307\pi\)
−0.133558 + 0.991041i \(0.542640\pi\)
\(90\) −0.897552 −0.0946102
\(91\) 9.40974 1.56743i 0.986409 0.164311i
\(92\) 3.75677 0.391670
\(93\) −1.21307 + 0.325041i −0.125790 + 0.0337052i
\(94\) −0.377810 0.218129i −0.0389681 0.0224983i
\(95\) 4.22288 2.43808i 0.433258 0.250142i
\(96\) −2.53535 + 2.53535i −0.258763 + 0.258763i
\(97\) −0.704543 0.188782i −0.0715355 0.0191679i 0.222874 0.974847i \(-0.428456\pi\)
−0.294409 + 0.955679i \(0.595123\pi\)
\(98\) 4.03355 + 7.00956i 0.407450 + 0.708072i
\(99\) 2.25217 2.25217i 0.226352 0.226352i
\(100\) −1.46234 2.53285i −0.146234 0.253285i
\(101\) −5.71320 + 9.89554i −0.568484 + 0.984643i 0.428232 + 0.903669i \(0.359137\pi\)
−0.996716 + 0.0809746i \(0.974197\pi\)
\(102\) −1.04641 3.90527i −0.103610 0.386679i
\(103\) 19.3170 1.90336 0.951679 0.307094i \(-0.0993568\pi\)
0.951679 + 0.307094i \(0.0993568\pi\)
\(104\) 11.0955 0.387150i 1.08800 0.0379631i
\(105\) 0.787950 1.89842i 0.0768961 0.185267i
\(106\) 12.9478 3.46936i 1.25760 0.336974i
\(107\) −4.59094 + 7.95175i −0.443823 + 0.768724i −0.997969 0.0636951i \(-0.979711\pi\)
0.554146 + 0.832419i \(0.313045\pi\)
\(108\) −0.332619 0.576113i −0.0320063 0.0554365i
\(109\) 1.79167 + 1.79167i 0.171610 + 0.171610i 0.787687 0.616076i \(-0.211279\pi\)
−0.616076 + 0.787687i \(0.711279\pi\)
\(110\) 2.76134 + 0.739899i 0.263284 + 0.0705466i
\(111\) −0.151142 + 0.564068i −0.0143457 + 0.0535390i
\(112\) 2.25088 + 5.44516i 0.212688 + 0.514519i
\(113\) 1.25451 + 2.17288i 0.118015 + 0.204407i 0.918981 0.394302i \(-0.129014\pi\)
−0.800966 + 0.598710i \(0.795680\pi\)
\(114\) −6.27990 3.62570i −0.588167 0.339578i
\(115\) −4.23779 + 1.13551i −0.395176 + 0.105887i
\(116\) 6.04906i 0.561641i
\(117\) −0.811171 + 3.51312i −0.0749928 + 0.324788i
\(118\) 2.83506i 0.260989i
\(119\) 9.17871 + 1.21511i 0.841411 + 0.111389i
\(120\) 1.19609 2.07170i 0.109188 0.189119i
\(121\) 0.740817 0.427711i 0.0673470 0.0388828i
\(122\) 6.32249 6.32249i 0.572411 0.572411i
\(123\) −0.704976 + 2.63101i −0.0635655 + 0.237230i
\(124\) 0.216230 0.806980i 0.0194180 0.0724689i
\(125\) 5.16186 + 5.16186i 0.461691 + 0.461691i
\(126\) −3.03082 + 0.396799i −0.270007 + 0.0353497i
\(127\) −14.6248 8.44360i −1.29774 0.749249i −0.317724 0.948183i \(-0.602919\pi\)
−0.980013 + 0.198934i \(0.936252\pi\)
\(128\) 0.714478 + 2.66647i 0.0631515 + 0.235685i
\(129\) 7.63166 0.671930
\(130\) −3.09479 + 0.946077i −0.271431 + 0.0829764i
\(131\) 9.18546i 0.802537i 0.915960 + 0.401269i \(0.131431\pi\)
−0.915960 + 0.401269i \(0.868569\pi\)
\(132\) 0.548391 + 2.04662i 0.0477313 + 0.178136i
\(133\) 13.1818 10.0997i 1.14301 0.875757i
\(134\) 7.15197 4.12919i 0.617836 0.356708i
\(135\) 0.549341 + 0.549341i 0.0472798 + 0.0472798i
\(136\) 10.4085 + 2.78894i 0.892519 + 0.239150i
\(137\) 6.08217 + 1.62971i 0.519635 + 0.139236i 0.509098 0.860709i \(-0.329979\pi\)
0.0105372 + 0.999944i \(0.496646\pi\)
\(138\) 4.61344 + 4.61344i 0.392722 + 0.392722i
\(139\) −16.6243 + 9.59802i −1.41005 + 0.814093i −0.995393 0.0958840i \(-0.969432\pi\)
−0.414658 + 0.909977i \(0.636099\pi\)
\(140\) 0.831617 + 1.08540i 0.0702844 + 0.0917329i
\(141\) 0.0977320 + 0.364741i 0.00823052 + 0.0307167i
\(142\) 11.2077i 0.940528i
\(143\) 5.39164 10.1395i 0.450872 0.847909i
\(144\) −2.22698 −0.185582
\(145\) −1.82837 6.82358i −0.151838 0.566667i
\(146\) 10.9183 + 6.30369i 0.903606 + 0.521697i
\(147\) 1.82145 6.75887i 0.150231 0.557462i
\(148\) −0.274694 0.274694i −0.0225797 0.0225797i
\(149\) −2.99088 + 11.1621i −0.245022 + 0.914435i 0.728350 + 0.685205i \(0.240287\pi\)
−0.973372 + 0.229230i \(0.926379\pi\)
\(150\) 1.31462 4.90623i 0.107338 0.400592i
\(151\) 8.90574 8.90574i 0.724738 0.724738i −0.244828 0.969567i \(-0.578732\pi\)
0.969567 + 0.244828i \(0.0787315\pi\)
\(152\) 16.7374 9.66336i 1.35759 0.783802i
\(153\) −1.74975 + 3.03065i −0.141459 + 0.245014i
\(154\) 9.65151 + 1.27770i 0.777741 + 0.102960i
\(155\) 0.975662i 0.0783671i
\(156\) −1.75414 1.63586i −0.140444 0.130973i
\(157\) 5.49387i 0.438459i 0.975673 + 0.219229i \(0.0703543\pi\)
−0.975673 + 0.219229i \(0.929646\pi\)
\(158\) 12.0733 3.23503i 0.960501 0.257365i
\(159\) −10.0480 5.80124i −0.796862 0.460068i
\(160\) 1.39277 + 2.41235i 0.110108 + 0.190713i
\(161\) −13.8080 + 5.70785i −1.08822 + 0.449841i
\(162\) 0.299019 1.11595i 0.0234931 0.0876775i
\(163\) 10.2964 + 2.75892i 0.806480 + 0.216096i 0.638427 0.769682i \(-0.279585\pi\)
0.168053 + 0.985778i \(0.446252\pi\)
\(164\) −1.28127 1.28127i −0.100050 0.100050i
\(165\) −1.23721 2.14292i −0.0963169 0.166826i
\(166\) −8.44340 + 14.6244i −0.655335 + 1.13507i
\(167\) 12.5089 3.35175i 0.967967 0.259366i 0.259998 0.965609i \(-0.416278\pi\)
0.707969 + 0.706243i \(0.249611\pi\)
\(168\) 3.12305 7.52442i 0.240949 0.580521i
\(169\) 0.906105 + 12.9684i 0.0697004 + 0.997568i
\(170\) −3.14098 −0.240902
\(171\) 1.62449 + 6.06267i 0.124228 + 0.463624i
\(172\) −2.53843 + 4.39670i −0.193554 + 0.335245i
\(173\) 0.498608 + 0.863615i 0.0379085 + 0.0656594i 0.884357 0.466811i \(-0.154597\pi\)
−0.846449 + 0.532470i \(0.821264\pi\)
\(174\) −7.42844 + 7.42844i −0.563149 + 0.563149i
\(175\) 9.22312 + 7.08769i 0.697202 + 0.535779i
\(176\) 6.85138 + 1.83582i 0.516442 + 0.138380i
\(177\) 1.73518 1.73518i 0.130424 0.130424i
\(178\) 7.27763 4.20174i 0.545482 0.314934i
\(179\) −4.88304 2.81922i −0.364975 0.210719i 0.306286 0.951940i \(-0.400914\pi\)
−0.671261 + 0.741221i \(0.734247\pi\)
\(180\) −0.499204 + 0.133761i −0.0372085 + 0.00996998i
\(181\) −21.5094 −1.59878 −0.799390 0.600813i \(-0.794844\pi\)
−0.799390 + 0.600813i \(0.794844\pi\)
\(182\) −10.0321 + 4.56286i −0.743631 + 0.338222i
\(183\) −7.73929 −0.572104
\(184\) −16.7965 + 4.50062i −1.23826 + 0.331790i
\(185\) 0.392894 + 0.226838i 0.0288862 + 0.0166774i
\(186\) 1.25654 0.725461i 0.0921337 0.0531934i
\(187\) 7.88147 7.88147i 0.576350 0.576350i
\(188\) −0.242639 0.0650150i −0.0176963 0.00474171i
\(189\) 2.09786 + 1.61214i 0.152597 + 0.117266i
\(190\) −3.98350 + 3.98350i −0.288993 + 0.288993i
\(191\) −4.39198 7.60714i −0.317793 0.550433i 0.662234 0.749297i \(-0.269608\pi\)
−0.980027 + 0.198863i \(0.936275\pi\)
\(192\) 4.29820 7.44469i 0.310196 0.537274i
\(193\) 0.249296 + 0.930384i 0.0179447 + 0.0669705i 0.974318 0.225178i \(-0.0722964\pi\)
−0.956373 + 0.292149i \(0.905630\pi\)
\(194\) 0.842685 0.0605013
\(195\) 2.47319 + 1.31511i 0.177109 + 0.0941768i
\(196\) 3.28802 + 3.29749i 0.234859 + 0.235535i
\(197\) −16.6329 + 4.45678i −1.18505 + 0.317532i −0.796926 0.604076i \(-0.793542\pi\)
−0.388120 + 0.921609i \(0.626876\pi\)
\(198\) −1.83988 + 3.18676i −0.130754 + 0.226473i
\(199\) −1.12555 1.94951i −0.0797883 0.138197i 0.823370 0.567505i \(-0.192091\pi\)
−0.903159 + 0.429307i \(0.858758\pi\)
\(200\) 9.57249 + 9.57249i 0.676877 + 0.676877i
\(201\) −6.90457 1.85007i −0.487011 0.130494i
\(202\) 3.41670 12.7513i 0.240398 0.897179i
\(203\) −9.19063 22.2333i −0.645056 1.56047i
\(204\) −1.16400 2.01610i −0.0814961 0.141155i
\(205\) 1.83259 + 1.05805i 0.127994 + 0.0738973i
\(206\) −21.5568 + 5.77613i −1.50194 + 0.402442i
\(207\) 5.64726i 0.392512i
\(208\) −7.67872 + 2.34738i −0.532423 + 0.162762i
\(209\) 19.9911i 1.38282i
\(210\) −0.311652 + 2.35416i −0.0215061 + 0.162452i
\(211\) −10.3549 + 17.9352i −0.712859 + 1.23471i 0.250921 + 0.968008i \(0.419267\pi\)
−0.963780 + 0.266700i \(0.914067\pi\)
\(212\) 6.68434 3.85920i 0.459082 0.265051i
\(213\) −6.85960 + 6.85960i −0.470012 + 0.470012i
\(214\) 2.74555 10.2465i 0.187682 0.700440i
\(215\) 1.53452 5.72691i 0.104653 0.390572i
\(216\) 2.17732 + 2.17732i 0.148148 + 0.148148i
\(217\) 0.431332 + 3.29459i 0.0292807 + 0.223651i
\(218\) −2.53516 1.46367i −0.171702 0.0991325i
\(219\) −2.82435 10.5406i −0.190852 0.712270i
\(220\) 1.64608 0.110979
\(221\) −2.83869 + 12.2941i −0.190951 + 0.826993i
\(222\) 0.674667i 0.0452807i
\(223\) −5.92307 22.1052i −0.396638 1.48027i −0.818972 0.573834i \(-0.805455\pi\)
0.422333 0.906441i \(-0.361211\pi\)
\(224\) 5.76954 + 7.53022i 0.385494 + 0.503134i
\(225\) −3.80744 + 2.19822i −0.253829 + 0.146548i
\(226\) −2.04971 2.04971i −0.136345 0.136345i
\(227\) −15.1087 4.04837i −1.00280 0.268699i −0.280182 0.959947i \(-0.590395\pi\)
−0.722618 + 0.691248i \(0.757061\pi\)
\(228\) −4.03312 1.08067i −0.267100 0.0715692i
\(229\) 3.61172 + 3.61172i 0.238669 + 0.238669i 0.816299 0.577630i \(-0.196022\pi\)
−0.577630 + 0.816299i \(0.696022\pi\)
\(230\) 4.38963 2.53435i 0.289444 0.167110i
\(231\) −5.12514 6.68917i −0.337210 0.440115i
\(232\) −7.24678 27.0453i −0.475774 1.77561i
\(233\) 3.18656i 0.208758i 0.994538 + 0.104379i \(0.0332855\pi\)
−0.994538 + 0.104379i \(0.966714\pi\)
\(234\) −0.145259 4.16303i −0.00949587 0.272146i
\(235\) 0.293358 0.0191366
\(236\) 0.422507 + 1.57682i 0.0275029 + 0.102642i
\(237\) −9.36939 5.40942i −0.608607 0.351379i
\(238\) −10.6063 + 1.38860i −0.687508 + 0.0900094i
\(239\) −1.61918 1.61918i −0.104736 0.104736i 0.652797 0.757533i \(-0.273596\pi\)
−0.757533 + 0.652797i \(0.773596\pi\)
\(240\) −0.447786 + 1.67116i −0.0289045 + 0.107873i
\(241\) −1.64242 + 6.12960i −0.105798 + 0.394842i −0.998434 0.0559344i \(-0.982186\pi\)
0.892637 + 0.450777i \(0.148853\pi\)
\(242\) −0.698823 + 0.698823i −0.0449221 + 0.0449221i
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) 2.57423 4.45870i 0.164798 0.285439i
\(245\) −4.70571 2.72587i −0.300637 0.174149i
\(246\) 3.14688i 0.200638i
\(247\) 11.9917 + 19.1920i 0.763016 + 1.22116i
\(248\) 3.86705i 0.245558i
\(249\) 14.1185 3.78305i 0.894725 0.239741i
\(250\) −7.30388 4.21690i −0.461938 0.266700i
\(251\) 10.7306 + 18.5859i 0.677308 + 1.17313i 0.975789 + 0.218716i \(0.0701868\pi\)
−0.298481 + 0.954416i \(0.596480\pi\)
\(252\) −1.62656 + 0.672374i −0.102464 + 0.0423556i
\(253\) −4.65534 + 17.3740i −0.292679 + 1.09229i
\(254\) 18.8453 + 5.04959i 1.18246 + 0.316839i
\(255\) 1.92242 + 1.92242i 0.120386 + 0.120386i
\(256\) 7.00174 + 12.1274i 0.437609 + 0.757961i
\(257\) −14.1914 + 24.5801i −0.885232 + 1.53327i −0.0397853 + 0.999208i \(0.512667\pi\)
−0.845447 + 0.534059i \(0.820666\pi\)
\(258\) −8.51657 + 2.28201i −0.530219 + 0.142072i
\(259\) 1.42700 + 0.592283i 0.0886692 + 0.0368027i
\(260\) −1.58028 + 0.987406i −0.0980048 + 0.0612364i
\(261\) 9.09308 0.562847
\(262\) −2.74662 10.2505i −0.169687 0.633280i
\(263\) 6.33755 10.9770i 0.390790 0.676868i −0.601764 0.798674i \(-0.705535\pi\)
0.992554 + 0.121806i \(0.0388686\pi\)
\(264\) −4.90371 8.49348i −0.301803 0.522737i
\(265\) −6.37373 + 6.37373i −0.391535 + 0.391535i
\(266\) −11.6903 + 15.2124i −0.716777 + 0.932733i
\(267\) −7.02589 1.88258i −0.429977 0.115212i
\(268\) 3.36244 3.36244i 0.205394 0.205394i
\(269\) 5.62758 3.24908i 0.343120 0.198100i −0.318531 0.947912i \(-0.603190\pi\)
0.661651 + 0.749812i \(0.269856\pi\)
\(270\) −0.777302 0.448776i −0.0473051 0.0273116i
\(271\) −6.14616 + 1.64686i −0.373353 + 0.100040i −0.440616 0.897696i \(-0.645240\pi\)
0.0672633 + 0.997735i \(0.478573\pi\)
\(272\) −7.79332 −0.472539
\(273\) 8.93279 + 3.34744i 0.540637 + 0.202596i
\(274\) −7.27473 −0.439482
\(275\) 13.5258 3.62423i 0.815636 0.218549i
\(276\) 3.25346 + 1.87839i 0.195835 + 0.113066i
\(277\) 15.6622 9.04260i 0.941053 0.543317i 0.0507626 0.998711i \(-0.483835\pi\)
0.890290 + 0.455394i \(0.150501\pi\)
\(278\) 15.6819 15.6819i 0.940538 0.940538i
\(279\) −1.21307 0.325041i −0.0726246 0.0194597i
\(280\) −5.01847 3.85654i −0.299911 0.230472i
\(281\) −6.43538 + 6.43538i −0.383903 + 0.383903i −0.872506 0.488603i \(-0.837507\pi\)
0.488603 + 0.872506i \(0.337507\pi\)
\(282\) −0.218129 0.377810i −0.0129894 0.0224983i
\(283\) 7.33715 12.7083i 0.436148 0.755431i −0.561240 0.827653i \(-0.689676\pi\)
0.997389 + 0.0722219i \(0.0230090\pi\)
\(284\) −1.67027 6.23354i −0.0991124 0.369892i
\(285\) 4.87616 0.288839
\(286\) −2.98491 + 12.9274i −0.176502 + 0.764414i
\(287\) 6.65599 + 2.76261i 0.392891 + 0.163072i
\(288\) −3.46335 + 0.928002i −0.204080 + 0.0546830i
\(289\) 2.37677 4.11668i 0.139810 0.242158i
\(290\) 4.08075 + 7.06807i 0.239630 + 0.415051i
\(291\) −0.515761 0.515761i −0.0302344 0.0302344i
\(292\) 7.01203 + 1.87887i 0.410348 + 0.109952i
\(293\) 1.69762 6.33562i 0.0991763 0.370131i −0.898443 0.439090i \(-0.855301\pi\)
0.997620 + 0.0689587i \(0.0219677\pi\)
\(294\) −0.0116252 + 8.08723i −0.000677996 + 0.471657i
\(295\) −0.953209 1.65101i −0.0554980 0.0961253i
\(296\) 1.55724 + 0.899074i 0.0905129 + 0.0522576i
\(297\) 3.07653 0.824353i 0.178518 0.0478338i
\(298\) 13.3507i 0.773385i
\(299\) −5.95258 19.4720i −0.344246 1.12609i
\(300\) 2.92468i 0.168857i
\(301\) 2.64990 20.0168i 0.152738 1.15375i
\(302\) −7.27540 + 12.6014i −0.418652 + 0.725127i
\(303\) −9.89554 + 5.71320i −0.568484 + 0.328214i
\(304\) −9.88377 + 9.88377i −0.566873 + 0.566873i
\(305\) −1.55616 + 5.80767i −0.0891055 + 0.332546i
\(306\) 1.04641 3.90527i 0.0598195 0.223249i
\(307\) 23.5768 + 23.5768i 1.34560 + 1.34560i 0.890377 + 0.455225i \(0.150441\pi\)
0.455225 + 0.890377i \(0.349559\pi\)
\(308\) 5.55843 0.727718i 0.316721 0.0414656i
\(309\) 16.7290 + 9.65849i 0.951679 + 0.549452i
\(310\) −0.291741 1.08879i −0.0165698 0.0618393i
\(311\) −2.90579 −0.164772 −0.0823861 0.996600i \(-0.526254\pi\)
−0.0823861 + 0.996600i \(0.526254\pi\)
\(312\) 9.80253 + 5.21245i 0.554959 + 0.295097i
\(313\) 0.960626i 0.0542978i 0.999631 + 0.0271489i \(0.00864282\pi\)
−0.999631 + 0.0271489i \(0.991357\pi\)
\(314\) −1.64277 6.13090i −0.0927069 0.345987i
\(315\) 1.63160 1.25010i 0.0919300 0.0704354i
\(316\) 6.23287 3.59855i 0.350626 0.202434i
\(317\) −23.7216 23.7216i −1.33234 1.33234i −0.903274 0.429064i \(-0.858844\pi\)
−0.429064 0.903274i \(-0.641156\pi\)
\(318\) 12.9478 + 3.46936i 0.726078 + 0.194552i
\(319\) −27.9751 7.49590i −1.56630 0.419690i
\(320\) −4.72235 4.72235i −0.263988 0.263988i
\(321\) −7.95175 + 4.59094i −0.443823 + 0.256241i
\(322\) 13.7023 10.4985i 0.763602 0.585061i
\(323\) 5.68489 + 21.2163i 0.316316 + 1.18051i
\(324\) 0.665238i 0.0369576i
\(325\) −10.8111 + 11.5928i −0.599692 + 0.643055i
\(326\) −12.3153 −0.682082
\(327\) 0.655795 + 2.44746i 0.0362656 + 0.135345i
\(328\) 7.26351 + 4.19359i 0.401060 + 0.231552i
\(329\) 0.990602 0.129691i 0.0546137 0.00715010i
\(330\) 2.02144 + 2.02144i 0.111277 + 0.111277i
\(331\) 3.27417 12.2194i 0.179965 0.671637i −0.815688 0.578492i \(-0.803641\pi\)
0.995653 0.0931447i \(-0.0296919\pi\)
\(332\) −2.51662 + 9.39217i −0.138118 + 0.515462i
\(333\) −0.412926 + 0.412926i −0.0226282 + 0.0226282i
\(334\) −12.9571 + 7.48078i −0.708981 + 0.409330i
\(335\) −2.77665 + 4.80929i −0.151704 + 0.262760i
\(336\) −0.773265 + 5.84108i −0.0421850 + 0.318657i
\(337\) 12.8172i 0.698196i 0.937086 + 0.349098i \(0.113512\pi\)
−0.937086 + 0.349098i \(0.886488\pi\)
\(338\) −4.88896 14.2012i −0.265924 0.772441i
\(339\) 2.50903i 0.136272i
\(340\) −1.74696 + 0.468097i −0.0947423 + 0.0253861i
\(341\) 3.46410 + 2.00000i 0.187591 + 0.108306i
\(342\) −3.62570 6.27990i −0.196056 0.339578i
\(343\) −17.0952 7.12427i −0.923052 0.384675i
\(344\) 6.08209 22.6987i 0.327925 1.22383i
\(345\) −4.23779 1.13551i −0.228155 0.0611339i
\(346\) −0.814660 0.814660i −0.0437964 0.0437964i
\(347\) −9.29372 16.0972i −0.498913 0.864143i 0.501086 0.865397i \(-0.332934\pi\)
−0.999999 + 0.00125445i \(0.999601\pi\)
\(348\) −3.02453 + 5.23864i −0.162132 + 0.280820i
\(349\) −4.62637 + 1.23963i −0.247644 + 0.0663560i −0.380506 0.924779i \(-0.624250\pi\)
0.132862 + 0.991135i \(0.457583\pi\)
\(350\) −12.4119 5.15164i −0.663445 0.275367i
\(351\) −2.45905 + 2.63686i −0.131255 + 0.140745i
\(352\) 11.4201 0.608693
\(353\) 3.19876 + 11.9379i 0.170253 + 0.635392i 0.997312 + 0.0732769i \(0.0233457\pi\)
−0.827059 + 0.562116i \(0.809988\pi\)
\(354\) −1.41753 + 2.45524i −0.0753410 + 0.130494i
\(355\) 3.76826 + 6.52683i 0.199999 + 0.346408i
\(356\) 3.42152 3.42152i 0.181340 0.181340i
\(357\) 7.34144 + 5.64167i 0.388550 + 0.298589i
\(358\) 6.29224 + 1.68600i 0.332555 + 0.0891079i
\(359\) 4.20137 4.20137i 0.221740 0.221740i −0.587491 0.809231i \(-0.699884\pi\)
0.809231 + 0.587491i \(0.199884\pi\)
\(360\) 2.07170 1.19609i 0.109188 0.0630397i
\(361\) 17.6626 + 10.1975i 0.929608 + 0.536710i
\(362\) 24.0035 6.43171i 1.26159 0.338043i
\(363\) 0.855422 0.0448980
\(364\) −4.89971 + 4.03287i −0.256815 + 0.211380i
\(365\) −8.47775 −0.443746
\(366\) 8.63668 2.31419i 0.451446 0.120965i
\(367\) −5.05707 2.91970i −0.263977 0.152407i 0.362170 0.932112i \(-0.382036\pi\)
−0.626147 + 0.779705i \(0.715369\pi\)
\(368\) 10.8914 6.28818i 0.567756 0.327794i
\(369\) −1.92603 + 1.92603i −0.100265 + 0.100265i
\(370\) −0.506280 0.135657i −0.0263202 0.00705249i
\(371\) −18.7048 + 24.3404i −0.971106 + 1.26369i
\(372\) 0.590750 0.590750i 0.0306290 0.0306290i
\(373\) −5.17801 8.96858i −0.268107 0.464375i 0.700266 0.713882i \(-0.253065\pi\)
−0.968373 + 0.249507i \(0.919731\pi\)
\(374\) −6.43864 + 11.1521i −0.332934 + 0.576659i
\(375\) 1.88937 + 7.05123i 0.0975667 + 0.364124i
\(376\) 1.16273 0.0599632
\(377\) 31.3532 9.58469i 1.61477 0.493636i
\(378\) −2.82317 1.17177i −0.145208 0.0602695i
\(379\) 6.76845 1.81360i 0.347672 0.0931584i −0.0807572 0.996734i \(-0.525734\pi\)
0.428429 + 0.903575i \(0.359067\pi\)
\(380\) −1.62190 + 2.80922i −0.0832018 + 0.144110i
\(381\) −8.44360 14.6248i −0.432579 0.749249i
\(382\) 7.17592 + 7.17592i 0.367152 + 0.367152i
\(383\) 7.14098 + 1.91342i 0.364887 + 0.0977711i 0.436604 0.899654i \(-0.356181\pi\)
−0.0717170 + 0.997425i \(0.522848\pi\)
\(384\) −0.714478 + 2.66647i −0.0364605 + 0.136073i
\(385\) −6.05017 + 2.50097i −0.308345 + 0.127461i
\(386\) −0.556404 0.963720i −0.0283202 0.0490521i
\(387\) 6.60921 + 3.81583i 0.335965 + 0.193970i
\(388\) 0.468688 0.125585i 0.0237940 0.00637559i
\(389\) 10.2280i 0.518581i 0.965799 + 0.259290i \(0.0834886\pi\)
−0.965799 + 0.259290i \(0.916511\pi\)
\(390\) −3.15320 0.728068i −0.159669 0.0368672i
\(391\) 19.7626i 0.999436i
\(392\) −18.6511 10.8040i −0.942025 0.545686i
\(393\) −4.59273 + 7.95484i −0.231673 + 0.401269i
\(394\) 17.2289 9.94711i 0.867979 0.501128i
\(395\) −5.94323 + 5.94323i −0.299037 + 0.299037i
\(396\) −0.548391 + 2.04662i −0.0275577 + 0.102847i
\(397\) 7.30250 27.2533i 0.366502 1.36780i −0.498872 0.866676i \(-0.666252\pi\)
0.865373 0.501128i \(-0.167081\pi\)
\(398\) 1.83900 + 1.83900i 0.0921810 + 0.0921810i
\(399\) 16.4657 2.15571i 0.824314 0.107920i
\(400\) −8.47910 4.89541i −0.423955 0.244770i
\(401\) −1.82731 6.81960i −0.0912514 0.340555i 0.905173 0.425043i \(-0.139741\pi\)
−0.996424 + 0.0844884i \(0.973074\pi\)
\(402\) 8.25838 0.411891
\(403\) −4.52532 + 0.157900i −0.225422 + 0.00786558i
\(404\) 7.60126i 0.378177i
\(405\) 0.201073 + 0.750414i 0.00999139 + 0.0372884i
\(406\) 16.9045 + 22.0632i 0.838955 + 1.09498i
\(407\) 1.61078 0.929982i 0.0798432 0.0460975i
\(408\) 7.61953 + 7.61953i 0.377223 + 0.377223i
\(409\) 30.3999 + 8.14562i 1.50318 + 0.402775i 0.914163 0.405348i \(-0.132850\pi\)
0.589014 + 0.808123i \(0.299516\pi\)
\(410\) −2.36146 0.632752i −0.116624 0.0312494i
\(411\) 4.45246 + 4.45246i 0.219624 + 0.219624i
\(412\) −11.1288 + 6.42519i −0.548274 + 0.316546i
\(413\) −3.94866 5.15366i −0.194301 0.253595i
\(414\) 1.68864 + 6.30208i 0.0829919 + 0.309730i
\(415\) 11.3554i 0.557415i
\(416\) −10.9636 + 6.85037i −0.537534 + 0.335867i
\(417\) −19.1960 −0.940034
\(418\) 5.97772 + 22.3092i 0.292380 + 1.09118i
\(419\) 20.4187 + 11.7887i 0.997519 + 0.575918i 0.907513 0.420023i \(-0.137978\pi\)
0.0900058 + 0.995941i \(0.471311\pi\)
\(420\) 0.177502 + 1.35579i 0.00866121 + 0.0661558i
\(421\) 4.63273 + 4.63273i 0.225785 + 0.225785i 0.810929 0.585144i \(-0.198962\pi\)
−0.585144 + 0.810929i \(0.698962\pi\)
\(422\) 6.19260 23.1111i 0.301451 1.12503i
\(423\) −0.0977320 + 0.364741i −0.00475189 + 0.0177343i
\(424\) −25.2624 + 25.2624i −1.22685 + 1.22685i
\(425\) −13.3241 + 7.69267i −0.646314 + 0.373149i
\(426\) 5.60384 9.70614i 0.271507 0.470264i
\(427\) −2.68727 + 20.2991i −0.130046 + 0.982343i
\(428\) 6.10813i 0.295248i
\(429\) 9.73905 6.08526i 0.470206 0.293799i
\(430\) 6.84981i 0.330327i
\(431\) 27.8082 7.45118i 1.33947 0.358911i 0.483234 0.875491i \(-0.339462\pi\)
0.856239 + 0.516580i \(0.172795\pi\)
\(432\) −1.92862 1.11349i −0.0927910 0.0535729i
\(433\) −1.92063 3.32663i −0.0922998 0.159868i 0.816179 0.577800i \(-0.196088\pi\)
−0.908478 + 0.417932i \(0.862755\pi\)
\(434\) −1.46649 3.54763i −0.0703937 0.170291i
\(435\) 1.82837 6.82358i 0.0876637 0.327165i
\(436\) −1.62814 0.436260i −0.0779739 0.0208930i
\(437\) −25.0636 25.0636i −1.19895 1.19895i
\(438\) 6.30369 + 10.9183i 0.301202 + 0.521697i
\(439\) 7.29107 12.6285i 0.347984 0.602726i −0.637907 0.770113i \(-0.720200\pi\)
0.985891 + 0.167388i \(0.0535331\pi\)
\(440\) −7.35963 + 1.97201i −0.350857 + 0.0940118i
\(441\) 4.95686 4.94263i 0.236041 0.235363i
\(442\) −0.508333 14.5685i −0.0241789 0.692953i
\(443\) 32.2060 1.53015 0.765076 0.643940i \(-0.222701\pi\)
0.765076 + 0.643940i \(0.222701\pi\)
\(444\) −0.100545 0.375239i −0.00477166 0.0178081i
\(445\) −2.82543 + 4.89379i −0.133938 + 0.231988i
\(446\) 13.2197 + 22.8973i 0.625973 + 1.08422i
\(447\) −8.17122 + 8.17122i −0.386486 + 0.386486i
\(448\) −18.0340 13.8586i −0.852027 0.654756i
\(449\) −19.3546 5.18606i −0.913402 0.244745i −0.228639 0.973511i \(-0.573428\pi\)
−0.684763 + 0.728766i \(0.740094\pi\)
\(450\) 3.59161 3.59161i 0.169310 0.169310i
\(451\) 7.51321 4.33776i 0.353783 0.204257i
\(452\) −1.44548 0.834549i −0.0679897 0.0392539i
\(453\) 12.1655 3.25973i 0.571583 0.153155i
\(454\) 18.0711 0.848120
\(455\) 4.30811 6.03021i 0.201967 0.282701i
\(456\) 19.3267 0.905057
\(457\) 14.5061 3.88690i 0.678567 0.181822i 0.0969563 0.995289i \(-0.469089\pi\)
0.581611 + 0.813467i \(0.302423\pi\)
\(458\) −5.11049 2.95054i −0.238797 0.137870i
\(459\) −3.03065 + 1.74975i −0.141459 + 0.0816712i
\(460\) 2.06375 2.06375i 0.0962228 0.0962228i
\(461\) −29.9515 8.02549i −1.39498 0.373784i −0.518441 0.855113i \(-0.673488\pi\)
−0.876540 + 0.481329i \(0.840154\pi\)
\(462\) 7.71960 + 5.93228i 0.359148 + 0.275995i
\(463\) 3.61564 3.61564i 0.168033 0.168033i −0.618081 0.786114i \(-0.712090\pi\)
0.786114 + 0.618081i \(0.212090\pi\)
\(464\) 10.1251 + 17.5371i 0.470044 + 0.814141i
\(465\) −0.487831 + 0.844949i −0.0226226 + 0.0391835i
\(466\) −0.952840 3.55605i −0.0441395 0.164731i
\(467\) −17.6775 −0.818017 −0.409009 0.912530i \(-0.634125\pi\)
−0.409009 + 0.912530i \(0.634125\pi\)
\(468\) −0.701203 2.29376i −0.0324131 0.106029i
\(469\) −7.24994 + 17.4674i −0.334771 + 0.806569i
\(470\) −0.327374 + 0.0877195i −0.0151006 + 0.00404620i
\(471\) −2.74694 + 4.75783i −0.126572 + 0.219229i
\(472\) −3.77806 6.54379i −0.173899 0.301202i
\(473\) −17.1878 17.1878i −0.790297 0.790297i
\(474\) 12.0733 + 3.23503i 0.554545 + 0.148590i
\(475\) −7.14198 + 26.6542i −0.327696 + 1.22298i
\(476\) −5.69214 + 2.35297i −0.260899 + 0.107848i
\(477\) −5.80124 10.0480i −0.265621 0.460068i
\(478\) 2.29110 + 1.32276i 0.104792 + 0.0605018i
\(479\) 19.1281 5.12537i 0.873987 0.234184i 0.206176 0.978515i \(-0.433898\pi\)
0.667811 + 0.744331i \(0.267231\pi\)
\(480\) 2.78554i 0.127142i
\(481\) −0.988534 + 1.85904i −0.0450733 + 0.0847647i
\(482\) 7.33146i 0.333939i
\(483\) −14.8120 1.96087i −0.673970 0.0892227i
\(484\) −0.284529 + 0.492819i −0.0129332 + 0.0224009i
\(485\) −0.490740 + 0.283329i −0.0222834 + 0.0128653i
\(486\) 0.816934 0.816934i 0.0370569 0.0370569i
\(487\) 10.1291 37.8022i 0.458992 1.71298i −0.217089 0.976152i \(-0.569656\pi\)
0.676080 0.736828i \(-0.263677\pi\)
\(488\) −6.16787 + 23.0188i −0.279206 + 1.04201i
\(489\) 7.53752 + 7.53752i 0.340859 + 0.340859i
\(490\) 6.06643 + 1.63485i 0.274054 + 0.0738548i
\(491\) 16.0715 + 9.27889i 0.725297 + 0.418750i 0.816699 0.577064i \(-0.195802\pi\)
−0.0914021 + 0.995814i \(0.529135\pi\)
\(492\) −0.468976 1.75024i −0.0211431 0.0789071i
\(493\) 31.8212 1.43315
\(494\) −19.1210 17.8316i −0.860293 0.802282i
\(495\) 2.47443i 0.111217i
\(496\) −0.723862 2.70149i −0.0325023 0.121300i
\(497\) 15.6100 + 20.3737i 0.700204 + 0.913883i
\(498\) −14.6244 + 8.44340i −0.655335 + 0.378358i
\(499\) 3.54363 + 3.54363i 0.158635 + 0.158635i 0.781962 0.623327i \(-0.214219\pi\)
−0.623327 + 0.781962i \(0.714219\pi\)
\(500\) −4.69074 1.25688i −0.209776 0.0562094i
\(501\) 12.5089 + 3.35175i 0.558856 + 0.149745i
\(502\) −17.5323 17.5323i −0.782507 0.782507i
\(503\) −2.98438 + 1.72303i −0.133067 + 0.0768262i −0.565056 0.825053i \(-0.691145\pi\)
0.431989 + 0.901879i \(0.357812\pi\)
\(504\) 6.46685 4.95481i 0.288056 0.220705i
\(505\) 2.29754 + 8.57453i 0.102239 + 0.381561i
\(506\) 20.7805i 0.923808i
\(507\) −5.69948 + 11.6840i −0.253123 + 0.518905i
\(508\) 11.2340 0.498428
\(509\) 7.93556 + 29.6159i 0.351737 + 1.31270i 0.884541 + 0.466463i \(0.154472\pi\)
−0.532803 + 0.846239i \(0.678862\pi\)
\(510\) −2.72017 1.57049i −0.120451 0.0695424i
\(511\) −28.6274 + 3.74794i −1.26640 + 0.165799i
\(512\) −15.3439 15.3439i −0.678111 0.678111i
\(513\) −1.62449 + 6.06267i −0.0717229 + 0.267674i
\(514\) 8.48696 31.6738i 0.374344 1.39707i
\(515\) 10.6116 10.6116i 0.467604 0.467604i
\(516\) −4.39670 + 2.53843i −0.193554 + 0.111748i
\(517\) 0.601351 1.04157i 0.0264474 0.0458082i
\(518\) −1.76956 0.234261i −0.0777501 0.0102929i
\(519\) 0.997217i 0.0437729i
\(520\) 5.88252 6.30787i 0.257966 0.276619i
\(521\) 13.0906i 0.573510i 0.958004 + 0.286755i \(0.0925766\pi\)
−0.958004 + 0.286755i \(0.907423\pi\)
\(522\) −10.1474 + 2.71900i −0.444141 + 0.119007i
\(523\) −29.9435 17.2879i −1.30934 0.755946i −0.327351 0.944903i \(-0.606156\pi\)
−0.981985 + 0.188957i \(0.939489\pi\)
\(524\) −3.05526 5.29186i −0.133469 0.231176i
\(525\) 4.44361 + 10.7497i 0.193935 + 0.469154i
\(526\) −3.79009 + 14.1448i −0.165256 + 0.616743i
\(527\) −4.24513 1.13748i −0.184921 0.0495494i
\(528\) 5.01556 + 5.01556i 0.218274 + 0.218274i
\(529\) 4.44578 + 7.70032i 0.193295 + 0.334797i
\(530\) 5.20691 9.01864i 0.226174 0.391745i
\(531\) 2.37031 0.635122i 0.102863 0.0275619i
\(532\) −4.23486 + 10.2031i −0.183604 + 0.442360i
\(533\) −4.61086 + 8.67118i −0.199719 + 0.375590i
\(534\) 8.40349 0.363654
\(535\) 1.84623 + 6.89022i 0.0798194 + 0.297890i
\(536\) −11.0053 + 19.0617i −0.475355 + 0.823340i
\(537\) −2.81922 4.88304i −0.121658 0.210719i
\(538\) −5.30857 + 5.30857i −0.228869 + 0.228869i
\(539\) −19.3244 + 11.1199i −0.832360 + 0.478969i
\(540\) −0.499204 0.133761i −0.0214823 0.00575617i
\(541\) 23.6775 23.6775i 1.01797 1.01797i 0.0181382 0.999835i \(-0.494226\pi\)
0.999835 0.0181382i \(-0.00577388\pi\)
\(542\) 6.36638 3.67563i 0.273460 0.157882i
\(543\) −18.6277 10.7547i −0.799390 0.461528i
\(544\) −12.1200 + 3.24754i −0.519640 + 0.139237i
\(545\) 1.96847 0.0843201
\(546\) −10.9695 1.06451i −0.469452 0.0455570i
\(547\) −9.25725 −0.395811 −0.197906 0.980221i \(-0.563414\pi\)
−0.197906 + 0.980221i \(0.563414\pi\)
\(548\) −4.04609 + 1.08415i −0.172840 + 0.0463124i
\(549\) −6.70242 3.86964i −0.286052 0.165152i
\(550\) −14.0104 + 8.08893i −0.597407 + 0.344913i
\(551\) 40.3567 40.3567i 1.71926 1.71926i
\(552\) −16.7965 4.50062i −0.714908 0.191559i
\(553\) −17.4415 + 22.6964i −0.741687 + 0.965148i
\(554\) −14.7744 + 14.7744i −0.627705 + 0.627705i
\(555\) 0.226838 + 0.392894i 0.00962872 + 0.0166774i
\(556\) 6.38496 11.0591i 0.270783 0.469009i
\(557\) 2.46966 + 9.21689i 0.104643 + 0.390532i 0.998304 0.0582092i \(-0.0185390\pi\)
−0.893662 + 0.448742i \(0.851872\pi\)
\(558\) 1.45092 0.0614224
\(559\) 26.8109 + 6.19058i 1.13398 + 0.261834i
\(560\) 4.22775 + 1.75475i 0.178655 + 0.0741518i
\(561\) 10.7663 2.88482i 0.454553 0.121797i
\(562\) 5.25728 9.10588i 0.221765 0.384108i
\(563\) −1.08829 1.88498i −0.0458661 0.0794424i 0.842181 0.539195i \(-0.181271\pi\)
−0.888047 + 0.459753i \(0.847938\pi\)
\(564\) −0.177624 0.177624i −0.00747933 0.00747933i
\(565\) 1.88281 + 0.504497i 0.0792104 + 0.0212244i
\(566\) −4.38789 + 16.3758i −0.184437 + 0.688327i
\(567\) 1.01073 + 2.44508i 0.0424466 + 0.102684i
\(568\) 14.9356 + 25.8692i 0.626683 + 1.08545i
\(569\) 20.3648 + 11.7576i 0.853738 + 0.492906i 0.861910 0.507061i \(-0.169268\pi\)
−0.00817222 + 0.999967i \(0.502601\pi\)
\(570\) −5.44156 + 1.45806i −0.227922 + 0.0610715i
\(571\) 13.2414i 0.554134i 0.960851 + 0.277067i \(0.0893624\pi\)
−0.960851 + 0.277067i \(0.910638\pi\)
\(572\) 0.266400 + 7.63486i 0.0111388 + 0.319230i
\(573\) 8.78397i 0.366955i
\(574\) −8.25385 1.09268i −0.344509 0.0456074i
\(575\) 12.4139 21.5016i 0.517697 0.896678i
\(576\) 7.44469 4.29820i 0.310196 0.179091i
\(577\) 1.10520 1.10520i 0.0460102 0.0460102i −0.683727 0.729738i \(-0.739642\pi\)
0.729738 + 0.683727i \(0.239642\pi\)
\(578\) −1.42140 + 5.30472i −0.0591223 + 0.220647i
\(579\) −0.249296 + 0.930384i −0.0103604 + 0.0386654i
\(580\) 3.32300 + 3.32300i 0.137980 + 0.137980i
\(581\) −5.02013 38.3446i −0.208270 1.59080i
\(582\) 0.729787 + 0.421343i 0.0302506 + 0.0174652i
\(583\) 9.56454 + 35.6954i 0.396123 + 1.47835i
\(584\) −33.6017 −1.39045
\(585\) 1.48429 + 2.37551i 0.0613679 + 0.0982153i
\(586\) 7.57788i 0.313039i
\(587\) −6.57121 24.5241i −0.271223 1.01222i −0.958331 0.285662i \(-0.907787\pi\)
0.687108 0.726556i \(-0.258880\pi\)
\(588\) 1.19877 + 4.49972i 0.0494363 + 0.185565i
\(589\) −6.82642 + 3.94124i −0.281278 + 0.162396i
\(590\) 1.55742 + 1.55742i 0.0641179 + 0.0641179i
\(591\) −16.6329 4.45678i −0.684187 0.183327i
\(592\) −1.25617 0.336590i −0.0516283 0.0138338i
\(593\) −13.5799 13.5799i −0.557660 0.557660i 0.370981 0.928641i \(-0.379022\pi\)
−0.928641 + 0.370981i \(0.879022\pi\)
\(594\) −3.18676 + 1.83988i −0.130754 + 0.0754911i
\(595\) 5.70976 4.37474i 0.234077 0.179347i
\(596\) −1.98964 7.42545i −0.0814989 0.304158i
\(597\) 2.25111i 0.0921316i
\(598\) 12.4653 + 19.9499i 0.509743 + 0.815810i
\(599\) −6.33246 −0.258737 −0.129369 0.991597i \(-0.541295\pi\)
−0.129369 + 0.991597i \(0.541295\pi\)
\(600\) 3.50377 + 13.0763i 0.143041 + 0.533836i
\(601\) −20.1592 11.6389i −0.822309 0.474760i 0.0289030 0.999582i \(-0.490799\pi\)
−0.851212 + 0.524822i \(0.824132\pi\)
\(602\) 3.02824 + 23.1302i 0.123422 + 0.942717i
\(603\) −5.05450 5.05450i −0.205835 0.205835i
\(604\) −2.16849 + 8.09292i −0.0882347 + 0.329296i
\(605\) 0.172002 0.641921i 0.00699288 0.0260978i
\(606\) 9.33461 9.33461i 0.379192 0.379192i
\(607\) −9.09221 + 5.24939i −0.369041 + 0.213066i −0.673040 0.739607i \(-0.735012\pi\)
0.303998 + 0.952673i \(0.401678\pi\)
\(608\) −11.2523 + 19.4896i −0.456343 + 0.790409i
\(609\) 3.15734 23.8499i 0.127942 0.966448i
\(610\) 6.94641i 0.281252i
\(611\) 0.0474768 + 1.36066i 0.00192071 + 0.0550462i
\(612\) 2.32800i 0.0941036i
\(613\) −8.40441 + 2.25196i −0.339451 + 0.0909556i −0.424518 0.905420i \(-0.639556\pi\)
0.0850667 + 0.996375i \(0.472890\pi\)
\(614\) −33.3606 19.2607i −1.34632 0.777300i
\(615\) 1.05805 + 1.83259i 0.0426646 + 0.0738973i
\(616\) −23.9800 + 9.91264i −0.966180 + 0.399392i
\(617\) 7.98973 29.8181i 0.321654 1.20043i −0.595978 0.803000i \(-0.703236\pi\)
0.917633 0.397430i \(-0.130098\pi\)
\(618\) −21.5568 5.77613i −0.867143 0.232350i
\(619\) −2.31233 2.31233i −0.0929403 0.0929403i 0.659108 0.752048i \(-0.270934\pi\)
−0.752048 + 0.659108i \(0.770934\pi\)
\(620\) −0.324524 0.562091i −0.0130332 0.0225741i
\(621\) 2.82363 4.89067i 0.113308 0.196256i
\(622\) 3.24272 0.868885i 0.130021 0.0348391i
\(623\) −7.37733 + 17.7743i −0.295566 + 0.712112i
\(624\) −7.82366 1.80647i −0.313197 0.0723165i
\(625\) −16.3110 −0.652440
\(626\) −0.287245 1.07201i −0.0114806 0.0428462i
\(627\) 9.99557 17.3128i 0.399184 0.691408i
\(628\) −1.82737 3.16509i −0.0729198 0.126301i
\(629\) −1.44503 + 1.44503i −0.0576173 + 0.0576173i
\(630\) −1.44698 + 1.88294i −0.0576490 + 0.0750179i
\(631\) 5.07213 + 1.35907i 0.201918 + 0.0541039i 0.358361 0.933583i \(-0.383336\pi\)
−0.156442 + 0.987687i \(0.550003\pi\)
\(632\) −23.5561 + 23.5561i −0.937011 + 0.937011i
\(633\) −17.9352 + 10.3549i −0.712859 + 0.411569i
\(634\) 33.5654 + 19.3790i 1.33305 + 0.769638i
\(635\) −12.6724 + 3.39556i −0.502889 + 0.134749i
\(636\) 7.71841 0.306055
\(637\) 11.8816 22.2672i 0.470765 0.882259i
\(638\) 33.4603 1.32471
\(639\) −9.37039 + 2.51079i −0.370687 + 0.0993253i
\(640\) 1.85729 + 1.07231i 0.0734160 + 0.0423867i
\(641\) −28.4420 + 16.4210i −1.12339 + 0.648589i −0.942264 0.334871i \(-0.891307\pi\)
−0.181126 + 0.983460i \(0.557974\pi\)
\(642\) 7.50099 7.50099i 0.296041 0.296041i
\(643\) −35.7163 9.57017i −1.40852 0.377411i −0.527120 0.849791i \(-0.676728\pi\)
−0.881395 + 0.472380i \(0.843395\pi\)
\(644\) 6.05644 7.88117i 0.238657 0.310562i
\(645\) 4.19239 4.19239i 0.165075 0.165075i
\(646\) −12.6881 21.9765i −0.499208 0.864653i
\(647\) 24.0363 41.6322i 0.944966 1.63673i 0.189147 0.981949i \(-0.439428\pi\)
0.755819 0.654780i \(-0.227239\pi\)
\(648\) 0.796956 + 2.97428i 0.0313074 + 0.116841i
\(649\) −7.81588 −0.306800
\(650\) 8.59821 16.1698i 0.337249 0.634231i
\(651\) −1.27375 + 3.06886i −0.0499221 + 0.120278i
\(652\) −6.84958 + 1.83534i −0.268250 + 0.0718775i
\(653\) 17.6801 30.6228i 0.691876 1.19836i −0.279347 0.960190i \(-0.590118\pi\)
0.971223 0.238174i \(-0.0765488\pi\)
\(654\) −1.46367 2.53516i −0.0572341 0.0991325i
\(655\) 5.04595 + 5.04595i 0.197162 + 0.197162i
\(656\) −5.85921 1.56997i −0.228764 0.0612970i
\(657\) 2.82435 10.5406i 0.110189 0.411229i
\(658\) −1.06669 + 0.440938i −0.0415837 + 0.0171895i
\(659\) 14.6210 + 25.3243i 0.569554 + 0.986496i 0.996610 + 0.0822711i \(0.0262173\pi\)
−0.427056 + 0.904225i \(0.640449\pi\)
\(660\) 1.42555 + 0.823040i 0.0554894 + 0.0320368i
\(661\) 21.1225 5.65976i 0.821570 0.220139i 0.176537 0.984294i \(-0.443510\pi\)
0.645033 + 0.764155i \(0.276844\pi\)
\(662\) 14.6153i 0.568038i
\(663\) −8.60545 + 9.22769i −0.334208 + 0.358374i
\(664\) 45.0073i 1.74662i
\(665\) 1.69312 12.7895i 0.0656565 0.495956i
\(666\) 0.337334 0.584279i 0.0130714 0.0226403i
\(667\) −44.4713 + 25.6755i −1.72193 + 0.994159i
\(668\) −6.09168 + 6.09168i −0.235694 + 0.235694i
\(669\) 5.92307 22.1052i 0.228999 0.854637i
\(670\) 1.66054 6.19721i 0.0641521 0.239419i
\(671\) 17.4302 + 17.4302i 0.672886 + 0.672886i
\(672\) 1.23146 + 9.40613i 0.0475047 + 0.362849i
\(673\) −6.52213 3.76555i −0.251409 0.145151i 0.369000 0.929429i \(-0.379700\pi\)
−0.620409 + 0.784278i \(0.713034\pi\)
\(674\) −3.83258 14.3034i −0.147625 0.550945i
\(675\) −4.39645 −0.169219
\(676\) −4.83555 7.16986i −0.185983 0.275764i
\(677\) 30.7509i 1.18185i 0.806726 + 0.590926i \(0.201237\pi\)
−0.806726 + 0.590926i \(0.798763\pi\)
\(678\) −0.750245 2.79995i −0.0288130 0.107532i
\(679\) −1.53186 + 1.17369i −0.0587873 + 0.0450420i
\(680\) 7.24989 4.18573i 0.278021 0.160515i
\(681\) −11.0603 11.0603i −0.423833 0.423833i
\(682\) −4.46380 1.19607i −0.170928 0.0458000i
\(683\) 14.8258 + 3.97256i 0.567293 + 0.152006i 0.531055 0.847338i \(-0.321796\pi\)
0.0362380 + 0.999343i \(0.488463\pi\)
\(684\) −2.95245 2.95245i −0.112890 0.112890i
\(685\) 4.23646 2.44592i 0.161867 0.0934538i
\(686\) 21.2077 + 2.83858i 0.809713 + 0.108377i
\(687\) 1.32198 + 4.93371i 0.0504368 + 0.188233i
\(688\) 16.9956i 0.647951i
\(689\) −30.5942 28.5311i −1.16555 1.08695i
\(690\) 5.06871 0.192962
\(691\) 12.7049 + 47.4152i 0.483316 + 1.80376i 0.587528 + 0.809204i \(0.300101\pi\)
−0.104212 + 0.994555i \(0.533232\pi\)
\(692\) −0.574509 0.331693i −0.0218396 0.0126091i
\(693\) −1.09392 8.35556i −0.0415546 0.317401i
\(694\) 15.1847 + 15.1847i 0.576404 + 0.576404i
\(695\) −3.85980 + 14.4050i −0.146411 + 0.546412i
\(696\) 7.24678 27.0453i 0.274688 1.02515i
\(697\) −6.74013 + 6.74013i −0.255301 + 0.255301i
\(698\) 4.79214 2.76674i 0.181385 0.104723i
\(699\) −1.59328 + 2.75964i −0.0602633 + 0.104379i
\(700\) −7.67105 1.01552i −0.289939 0.0383832i
\(701\) 40.9218i 1.54559i 0.634653 + 0.772797i \(0.281143\pi\)
−0.634653 + 0.772797i \(0.718857\pi\)
\(702\) 1.95572 3.67792i 0.0738138 0.138814i
\(703\) 3.66529i 0.138239i
\(704\) −26.4470 + 7.08646i −0.996760 + 0.267081i
\(705\) 0.254056 + 0.146679i 0.00956829 + 0.00552425i
\(706\) −7.13933 12.3657i −0.268692 0.465389i
\(707\) 11.5490 + 27.9385i 0.434344 + 1.05073i
\(708\) −0.422507 + 1.57682i −0.0158788 + 0.0592604i
\(709\) −20.0521 5.37294i −0.753071 0.201785i −0.138191 0.990406i \(-0.544129\pi\)
−0.614880 + 0.788621i \(0.710796\pi\)
\(710\) −6.15685 6.15685i −0.231062 0.231062i
\(711\) −5.40942 9.36939i −0.202869 0.351379i
\(712\) −11.1986 + 19.3966i −0.419687 + 0.726919i
\(713\) 6.85053 1.83559i 0.256554 0.0687435i
\(714\) −9.87967 4.10061i −0.369737 0.153462i
\(715\) −2.60820 8.53191i −0.0975413 0.319075i
\(716\) 3.75090 0.140178
\(717\) −0.592662 2.21184i −0.0221333 0.0826028i
\(718\) −3.43224 + 5.94482i −0.128090 + 0.221859i
\(719\) 6.50138 + 11.2607i 0.242461 + 0.419954i 0.961415 0.275103i \(-0.0887121\pi\)
−0.718954 + 0.695058i \(0.755379\pi\)
\(720\) −1.22337 + 1.22337i −0.0455925 + 0.0455925i
\(721\) 31.1417 40.5243i 1.15978 1.50920i
\(722\) −22.7598 6.09847i −0.847033 0.226962i
\(723\) −4.48718 + 4.48718i −0.166880 + 0.166880i
\(724\) 12.3918 7.15442i 0.460539 0.265892i
\(725\) 34.6213 + 19.9886i 1.28580 + 0.742359i
\(726\) −0.954610 + 0.255787i −0.0354289 + 0.00949315i
\(727\) 9.09604 0.337353 0.168677 0.985671i \(-0.446051\pi\)
0.168677 + 0.985671i \(0.446051\pi\)
\(728\) 17.0752 23.9008i 0.632851 0.885824i
\(729\) −1.00000 −0.0370370
\(730\) 9.46076 2.53500i 0.350159 0.0938247i
\(731\) 23.1289 + 13.3535i 0.855453 + 0.493896i
\(732\) 4.45870 2.57423i 0.164798 0.0951463i
\(733\) 24.5299 24.5299i 0.906033 0.906033i −0.0899161 0.995949i \(-0.528660\pi\)
0.995949 + 0.0899161i \(0.0286599\pi\)
\(734\) 6.51649 + 1.74609i 0.240528 + 0.0644493i
\(735\) −2.71233 4.71353i −0.100046 0.173861i
\(736\) 14.3178 14.3178i 0.527760 0.527760i
\(737\) 11.3836 + 19.7170i 0.419321 + 0.726285i
\(738\) 1.57344 2.72528i 0.0579191 0.100319i
\(739\) −12.5301 46.7628i −0.460926 1.72020i −0.670056 0.742311i \(-0.733730\pi\)
0.209130 0.977888i \(-0.432937\pi\)
\(740\) −0.301802 −0.0110945
\(741\) 0.789153 + 22.6166i 0.0289903 + 0.830843i
\(742\) 13.5955 32.7558i 0.499106 1.20250i
\(743\) −11.2679 + 3.01923i −0.413379 + 0.110765i −0.459514 0.888171i \(-0.651976\pi\)
0.0461346 + 0.998935i \(0.485310\pi\)
\(744\) −1.93353 + 3.34897i −0.0708865 + 0.122779i
\(745\) 4.48879 + 7.77482i 0.164457 + 0.284847i
\(746\) 8.46019 + 8.46019i 0.309749 + 0.309749i
\(747\) 14.1185 + 3.78305i 0.516570 + 0.138414i
\(748\) −1.91909 + 7.16214i −0.0701689 + 0.261874i
\(749\) 9.28039 + 22.4505i 0.339098 + 0.820322i
\(750\) −4.21690 7.30388i −0.153979 0.266700i
\(751\) −12.9544 7.47922i −0.472712 0.272921i 0.244662 0.969608i \(-0.421323\pi\)
−0.717374 + 0.696688i \(0.754656\pi\)
\(752\) −0.812272 + 0.217648i −0.0296205 + 0.00793679i
\(753\) 21.4611i 0.782088i
\(754\) −32.1227 + 20.0713i −1.16984 + 0.730952i
\(755\) 9.78458i 0.356097i
\(756\) −1.74483 0.230987i −0.0634589 0.00840092i
\(757\) 13.2377 22.9284i 0.481134 0.833348i −0.518632 0.854998i \(-0.673558\pi\)
0.999766 + 0.0216496i \(0.00689182\pi\)
\(758\) −7.01097 + 4.04778i −0.254650 + 0.147022i
\(759\) −12.7186 + 12.7186i −0.461657 + 0.461657i
\(760\) 3.88608 14.5031i 0.140963 0.526081i
\(761\) 10.6129 39.6079i 0.384718 1.43579i −0.453893 0.891056i \(-0.649965\pi\)
0.838611 0.544731i \(-0.183368\pi\)
\(762\) 13.7957 + 13.7957i 0.499767 + 0.499767i
\(763\) 6.64708 0.870244i 0.240640 0.0315050i
\(764\) 5.06055 + 2.92171i 0.183084 + 0.105704i
\(765\) 0.703654 + 2.62607i 0.0254407 + 0.0949458i
\(766\) −8.54114 −0.308604
\(767\) 7.50344 4.68838i 0.270934 0.169288i
\(768\) 14.0035i 0.505307i
\(769\) −0.837092 3.12407i −0.0301863 0.112657i 0.949189 0.314707i \(-0.101906\pi\)
−0.979375 + 0.202050i \(0.935240\pi\)
\(770\) 6.00387 4.60008i 0.216365 0.165775i
\(771\) −24.5801 + 14.1914i −0.885232 + 0.511089i
\(772\) −0.453085 0.453085i −0.0163069 0.0163069i
\(773\) 20.3857 + 5.46232i 0.733221 + 0.196466i 0.606063 0.795417i \(-0.292748\pi\)