Properties

Label 546.2.bi.e.17.7
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bi (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 17.7
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.e.257.7

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(-0.565041 - 1.63729i) q^{3} +1.00000 q^{4} +(1.26448 - 0.730045i) q^{5} +(0.565041 + 1.63729i) q^{6} +(-1.08820 + 2.41160i) q^{7} -1.00000 q^{8} +(-2.36146 + 1.85028i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(-0.565041 - 1.63729i) q^{3} +1.00000 q^{4} +(1.26448 - 0.730045i) q^{5} +(0.565041 + 1.63729i) q^{6} +(-1.08820 + 2.41160i) q^{7} -1.00000 q^{8} +(-2.36146 + 1.85028i) q^{9} +(-1.26448 + 0.730045i) q^{10} +(1.75974 + 3.04796i) q^{11} +(-0.565041 - 1.63729i) q^{12} +(0.214878 + 3.59914i) q^{13} +(1.08820 - 2.41160i) q^{14} +(-1.90978 - 1.65781i) q^{15} +1.00000 q^{16} -7.58718 q^{17} +(2.36146 - 1.85028i) q^{18} +(-1.72681 + 2.99093i) q^{19} +(1.26448 - 0.730045i) q^{20} +(4.56338 + 0.419048i) q^{21} +(-1.75974 - 3.04796i) q^{22} +3.60696i q^{23} +(0.565041 + 1.63729i) q^{24} +(-1.43407 + 2.48388i) q^{25} +(-0.214878 - 3.59914i) q^{26} +(4.36376 + 2.82092i) q^{27} +(-1.08820 + 2.41160i) q^{28} +(-0.170773 - 0.0985961i) q^{29} +(1.90978 + 1.65781i) q^{30} +(5.34484 - 9.25753i) q^{31} -1.00000 q^{32} +(3.99607 - 4.60343i) q^{33} +7.58718 q^{34} +(0.384576 + 3.84385i) q^{35} +(-2.36146 + 1.85028i) q^{36} -5.56471i q^{37} +(1.72681 - 2.99093i) q^{38} +(5.77144 - 2.38548i) q^{39} +(-1.26448 + 0.730045i) q^{40} +(2.60543 + 1.50425i) q^{41} +(-4.56338 - 0.419048i) q^{42} +(5.61139 + 9.71922i) q^{43} +(1.75974 + 3.04796i) q^{44} +(-1.63522 + 4.06360i) q^{45} -3.60696i q^{46} +(-11.0787 + 6.39629i) q^{47} +(-0.565041 - 1.63729i) q^{48} +(-4.63164 - 5.24861i) q^{49} +(1.43407 - 2.48388i) q^{50} +(4.28707 + 12.4224i) q^{51} +(0.214878 + 3.59914i) q^{52} +(4.21555 + 2.43385i) q^{53} +(-4.36376 - 2.82092i) q^{54} +(4.45029 + 2.56938i) q^{55} +(1.08820 - 2.41160i) q^{56} +(5.87274 + 1.13730i) q^{57} +(0.170773 + 0.0985961i) q^{58} +1.30815i q^{59} +(-1.90978 - 1.65781i) q^{60} +(0.865717 + 0.499822i) q^{61} +(-5.34484 + 9.25753i) q^{62} +(-1.89239 - 7.70836i) q^{63} +1.00000 q^{64} +(2.89925 + 4.39416i) q^{65} +(-3.99607 + 4.60343i) q^{66} +(4.78794 - 2.76432i) q^{67} -7.58718 q^{68} +(5.90566 - 2.03808i) q^{69} +(-0.384576 - 3.84385i) q^{70} +(5.33718 + 9.24427i) q^{71} +(2.36146 - 1.85028i) q^{72} +(-2.94410 + 5.09933i) q^{73} +5.56471i q^{74} +(4.87714 + 0.944496i) q^{75} +(-1.72681 + 2.99093i) q^{76} +(-9.26540 + 0.927001i) q^{77} +(-5.77144 + 2.38548i) q^{78} +(0.174645 + 0.302494i) q^{79} +(1.26448 - 0.730045i) q^{80} +(2.15296 - 8.73869i) q^{81} +(-2.60543 - 1.50425i) q^{82} -3.72979i q^{83} +(4.56338 + 0.419048i) q^{84} +(-9.59380 + 5.53898i) q^{85} +(-5.61139 - 9.71922i) q^{86} +(-0.0649367 + 0.335317i) q^{87} +(-1.75974 - 3.04796i) q^{88} -14.4601i q^{89} +(1.63522 - 4.06360i) q^{90} +(-8.91353 - 3.39839i) q^{91} +3.60696i q^{92} +(-18.1773 - 3.52018i) q^{93} +(11.0787 - 6.39629i) q^{94} +5.04260i q^{95} +(0.565041 + 1.63729i) q^{96} +(-1.72747 - 2.99206i) q^{97} +(4.63164 + 5.24861i) q^{98} +(-9.79510 - 3.94162i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) −0.565041 1.63729i −0.326227 0.945292i
\(4\) 1.00000 0.500000
\(5\) 1.26448 0.730045i 0.565491 0.326486i −0.189856 0.981812i \(-0.560802\pi\)
0.755346 + 0.655326i \(0.227469\pi\)
\(6\) 0.565041 + 1.63729i 0.230677 + 0.668422i
\(7\) −1.08820 + 2.41160i −0.411301 + 0.911500i
\(8\) −1.00000 −0.353553
\(9\) −2.36146 + 1.85028i −0.787152 + 0.616759i
\(10\) −1.26448 + 0.730045i −0.399862 + 0.230861i
\(11\) 1.75974 + 3.04796i 0.530581 + 0.918993i 0.999363 + 0.0356795i \(0.0113596\pi\)
−0.468782 + 0.883314i \(0.655307\pi\)
\(12\) −0.565041 1.63729i −0.163113 0.472646i
\(13\) 0.214878 + 3.59914i 0.0595966 + 0.998223i
\(14\) 1.08820 2.41160i 0.290834 0.644528i
\(15\) −1.90978 1.65781i −0.493103 0.428045i
\(16\) 1.00000 0.250000
\(17\) −7.58718 −1.84016 −0.920080 0.391729i \(-0.871877\pi\)
−0.920080 + 0.391729i \(0.871877\pi\)
\(18\) 2.36146 1.85028i 0.556601 0.436114i
\(19\) −1.72681 + 2.99093i −0.396158 + 0.686165i −0.993248 0.116008i \(-0.962990\pi\)
0.597090 + 0.802174i \(0.296323\pi\)
\(20\) 1.26448 0.730045i 0.282745 0.163243i
\(21\) 4.56338 + 0.419048i 0.995810 + 0.0914439i
\(22\) −1.75974 3.04796i −0.375177 0.649826i
\(23\) 3.60696i 0.752104i 0.926599 + 0.376052i \(0.122719\pi\)
−0.926599 + 0.376052i \(0.877281\pi\)
\(24\) 0.565041 + 1.63729i 0.115339 + 0.334211i
\(25\) −1.43407 + 2.48388i −0.286814 + 0.496776i
\(26\) −0.214878 3.59914i −0.0421411 0.705850i
\(27\) 4.36376 + 2.82092i 0.839807 + 0.542885i
\(28\) −1.08820 + 2.41160i −0.205650 + 0.455750i
\(29\) −0.170773 0.0985961i −0.0317118 0.0183088i 0.484060 0.875035i \(-0.339162\pi\)
−0.515772 + 0.856726i \(0.672495\pi\)
\(30\) 1.90978 + 1.65781i 0.348676 + 0.302674i
\(31\) 5.34484 9.25753i 0.959961 1.66270i 0.237377 0.971418i \(-0.423712\pi\)
0.722584 0.691283i \(-0.242954\pi\)
\(32\) −1.00000 −0.176777
\(33\) 3.99607 4.60343i 0.695627 0.801354i
\(34\) 7.58718 1.30119
\(35\) 0.384576 + 3.84385i 0.0650052 + 0.649729i
\(36\) −2.36146 + 1.85028i −0.393576 + 0.308379i
\(37\) 5.56471i 0.914833i −0.889252 0.457417i \(-0.848775\pi\)
0.889252 0.457417i \(-0.151225\pi\)
\(38\) 1.72681 2.99093i 0.280126 0.485192i
\(39\) 5.77144 2.38548i 0.924169 0.381983i
\(40\) −1.26448 + 0.730045i −0.199931 + 0.115430i
\(41\) 2.60543 + 1.50425i 0.406900 + 0.234924i 0.689457 0.724327i \(-0.257849\pi\)
−0.282557 + 0.959250i \(0.591183\pi\)
\(42\) −4.56338 0.419048i −0.704144 0.0646606i
\(43\) 5.61139 + 9.71922i 0.855730 + 1.48217i 0.875967 + 0.482372i \(0.160225\pi\)
−0.0202369 + 0.999795i \(0.506442\pi\)
\(44\) 1.75974 + 3.04796i 0.265291 + 0.459497i
\(45\) −1.63522 + 4.06360i −0.243764 + 0.605766i
\(46\) 3.60696i 0.531818i
\(47\) −11.0787 + 6.39629i −1.61599 + 0.932994i −0.628051 + 0.778172i \(0.716147\pi\)
−0.987942 + 0.154822i \(0.950520\pi\)
\(48\) −0.565041 1.63729i −0.0815567 0.236323i
\(49\) −4.63164 5.24861i −0.661663 0.749801i
\(50\) 1.43407 2.48388i 0.202808 0.351273i
\(51\) 4.28707 + 12.4224i 0.600309 + 1.73949i
\(52\) 0.214878 + 3.59914i 0.0297983 + 0.499111i
\(53\) 4.21555 + 2.43385i 0.579051 + 0.334315i 0.760756 0.649038i \(-0.224828\pi\)
−0.181705 + 0.983353i \(0.558162\pi\)
\(54\) −4.36376 2.82092i −0.593833 0.383878i
\(55\) 4.45029 + 2.56938i 0.600077 + 0.346455i
\(56\) 1.08820 2.41160i 0.145417 0.322264i
\(57\) 5.87274 + 1.13730i 0.777864 + 0.150639i
\(58\) 0.170773 + 0.0985961i 0.0224236 + 0.0129463i
\(59\) 1.30815i 0.170306i 0.996368 + 0.0851532i \(0.0271380\pi\)
−0.996368 + 0.0851532i \(0.972862\pi\)
\(60\) −1.90978 1.65781i −0.246551 0.214023i
\(61\) 0.865717 + 0.499822i 0.110844 + 0.0639956i 0.554397 0.832252i \(-0.312949\pi\)
−0.443553 + 0.896248i \(0.646282\pi\)
\(62\) −5.34484 + 9.25753i −0.678795 + 1.17571i
\(63\) −1.89239 7.70836i −0.238419 0.971162i
\(64\) 1.00000 0.125000
\(65\) 2.89925 + 4.39416i 0.359607 + 0.545028i
\(66\) −3.99607 + 4.60343i −0.491883 + 0.566643i
\(67\) 4.78794 2.76432i 0.584940 0.337715i −0.178154 0.984003i \(-0.557013\pi\)
0.763094 + 0.646287i \(0.223679\pi\)
\(68\) −7.58718 −0.920080
\(69\) 5.90566 2.03808i 0.710958 0.245356i
\(70\) −0.384576 3.84385i −0.0459656 0.459427i
\(71\) 5.33718 + 9.24427i 0.633407 + 1.09709i 0.986850 + 0.161637i \(0.0516773\pi\)
−0.353443 + 0.935456i \(0.614989\pi\)
\(72\) 2.36146 1.85028i 0.278300 0.218057i
\(73\) −2.94410 + 5.09933i −0.344581 + 0.596832i −0.985278 0.170963i \(-0.945312\pi\)
0.640697 + 0.767794i \(0.278646\pi\)
\(74\) 5.56471i 0.646885i
\(75\) 4.87714 + 0.944496i 0.563164 + 0.109061i
\(76\) −1.72681 + 2.99093i −0.198079 + 0.343083i
\(77\) −9.26540 + 0.927001i −1.05589 + 0.105642i
\(78\) −5.77144 + 2.38548i −0.653486 + 0.270103i
\(79\) 0.174645 + 0.302494i 0.0196491 + 0.0340332i 0.875683 0.482887i \(-0.160412\pi\)
−0.856034 + 0.516920i \(0.827078\pi\)
\(80\) 1.26448 0.730045i 0.141373 0.0816215i
\(81\) 2.15296 8.73869i 0.239218 0.970966i
\(82\) −2.60543 1.50425i −0.287722 0.166116i
\(83\) 3.72979i 0.409398i −0.978825 0.204699i \(-0.934379\pi\)
0.978825 0.204699i \(-0.0656215\pi\)
\(84\) 4.56338 + 0.419048i 0.497905 + 0.0457219i
\(85\) −9.59380 + 5.53898i −1.04059 + 0.600787i
\(86\) −5.61139 9.71922i −0.605092 1.04805i
\(87\) −0.0649367 + 0.335317i −0.00696194 + 0.0359498i
\(88\) −1.75974 3.04796i −0.187589 0.324913i
\(89\) 14.4601i 1.53276i −0.642385 0.766382i \(-0.722055\pi\)
0.642385 0.766382i \(-0.277945\pi\)
\(90\) 1.63522 4.06360i 0.172367 0.428341i
\(91\) −8.91353 3.39839i −0.934392 0.356248i
\(92\) 3.60696i 0.376052i
\(93\) −18.1773 3.52018i −1.88490 0.365026i
\(94\) 11.0787 6.39629i 1.14268 0.659726i
\(95\) 5.04260i 0.517360i
\(96\) 0.565041 + 1.63729i 0.0576693 + 0.167106i
\(97\) −1.72747 2.99206i −0.175398 0.303798i 0.764901 0.644148i \(-0.222788\pi\)
−0.940299 + 0.340350i \(0.889455\pi\)
\(98\) 4.63164 + 5.24861i 0.467866 + 0.530190i
\(99\) −9.79510 3.94162i −0.984445 0.396147i
\(100\) −1.43407 + 2.48388i −0.143407 + 0.248388i
\(101\) −5.80861 10.0608i −0.577979 1.00109i −0.995711 0.0925183i \(-0.970508\pi\)
0.417732 0.908570i \(-0.362825\pi\)
\(102\) −4.28707 12.4224i −0.424483 1.23000i
\(103\) 16.2249 9.36744i 1.59869 0.923001i 0.606944 0.794745i \(-0.292395\pi\)
0.991741 0.128257i \(-0.0409381\pi\)
\(104\) −0.214878 3.59914i −0.0210706 0.352925i
\(105\) 6.07620 2.80159i 0.592977 0.273408i
\(106\) −4.21555 2.43385i −0.409451 0.236397i
\(107\) 0.350806i 0.0339137i 0.999856 + 0.0169568i \(0.00539779\pi\)
−0.999856 + 0.0169568i \(0.994602\pi\)
\(108\) 4.36376 + 2.82092i 0.419903 + 0.271443i
\(109\) −8.12542 4.69121i −0.778274 0.449337i 0.0575444 0.998343i \(-0.481673\pi\)
−0.835818 + 0.549006i \(0.815006\pi\)
\(110\) −4.45029 2.56938i −0.424319 0.244980i
\(111\) −9.11107 + 3.14429i −0.864784 + 0.298443i
\(112\) −1.08820 + 2.41160i −0.102825 + 0.227875i
\(113\) −5.03517 + 2.90706i −0.473669 + 0.273473i −0.717774 0.696276i \(-0.754839\pi\)
0.244105 + 0.969749i \(0.421506\pi\)
\(114\) −5.87274 1.13730i −0.550033 0.106518i
\(115\) 2.63325 + 4.56092i 0.245552 + 0.425308i
\(116\) −0.170773 0.0985961i −0.0158559 0.00915442i
\(117\) −7.16683 8.10164i −0.662574 0.748997i
\(118\) 1.30815i 0.120425i
\(119\) 8.25637 18.2972i 0.756860 1.67731i
\(120\) 1.90978 + 1.65781i 0.174338 + 0.151337i
\(121\) −0.693357 + 1.20093i −0.0630324 + 0.109175i
\(122\) −0.865717 0.499822i −0.0783783 0.0452518i
\(123\) 0.990716 5.11581i 0.0893298 0.461277i
\(124\) 5.34484 9.25753i 0.479980 0.831350i
\(125\) 11.4882i 1.02754i
\(126\) 1.89239 + 7.70836i 0.168587 + 0.686716i
\(127\) −7.87940 + 13.6475i −0.699183 + 1.21102i 0.269567 + 0.962982i \(0.413120\pi\)
−0.968750 + 0.248039i \(0.920214\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 12.7425 14.6793i 1.12192 1.29244i
\(130\) −2.89925 4.39416i −0.254281 0.385393i
\(131\) 6.32520 + 10.9556i 0.552635 + 0.957192i 0.998083 + 0.0618843i \(0.0197110\pi\)
−0.445448 + 0.895308i \(0.646956\pi\)
\(132\) 3.99607 4.60343i 0.347813 0.400677i
\(133\) −5.33380 7.41911i −0.462499 0.643318i
\(134\) −4.78794 + 2.76432i −0.413615 + 0.238801i
\(135\) 7.57727 + 0.381234i 0.652147 + 0.0328114i
\(136\) 7.58718 0.650595
\(137\) 1.25158 0.106930 0.0534648 0.998570i \(-0.482974\pi\)
0.0534648 + 0.998570i \(0.482974\pi\)
\(138\) −5.90566 + 2.03808i −0.502723 + 0.173493i
\(139\) 8.68419 5.01382i 0.736583 0.425267i −0.0842424 0.996445i \(-0.526847\pi\)
0.820826 + 0.571179i \(0.193514\pi\)
\(140\) 0.384576 + 3.84385i 0.0325026 + 0.324864i
\(141\) 16.7325 + 14.5249i 1.40913 + 1.22322i
\(142\) −5.33718 9.24427i −0.447886 0.775762i
\(143\) −10.5919 + 6.98849i −0.885739 + 0.584407i
\(144\) −2.36146 + 1.85028i −0.196788 + 0.154190i
\(145\) −0.287918 −0.0239103
\(146\) 2.94410 5.09933i 0.243655 0.422024i
\(147\) −5.97644 + 10.5490i −0.492929 + 0.870070i
\(148\) 5.56471i 0.457417i
\(149\) −1.62311 + 2.81131i −0.132970 + 0.230311i −0.924820 0.380404i \(-0.875785\pi\)
0.791850 + 0.610716i \(0.209118\pi\)
\(150\) −4.87714 0.944496i −0.398217 0.0771178i
\(151\) −8.04225 4.64320i −0.654469 0.377858i 0.135697 0.990750i \(-0.456673\pi\)
−0.790166 + 0.612892i \(0.790006\pi\)
\(152\) 1.72681 2.99093i 0.140063 0.242596i
\(153\) 17.9168 14.0384i 1.44849 1.13494i
\(154\) 9.26540 0.927001i 0.746627 0.0746999i
\(155\) 15.6079i 1.25366i
\(156\) 5.77144 2.38548i 0.462085 0.190991i
\(157\) −16.2305 9.37071i −1.29534 0.747864i −0.315743 0.948845i \(-0.602254\pi\)
−0.979595 + 0.200981i \(0.935587\pi\)
\(158\) −0.174645 0.302494i −0.0138940 0.0240651i
\(159\) 1.60297 8.27732i 0.127124 0.656434i
\(160\) −1.26448 + 0.730045i −0.0999656 + 0.0577151i
\(161\) −8.69856 3.92510i −0.685542 0.309341i
\(162\) −2.15296 + 8.73869i −0.169153 + 0.686577i
\(163\) 0.787553 + 0.454694i 0.0616859 + 0.0356144i 0.530526 0.847669i \(-0.321995\pi\)
−0.468840 + 0.883283i \(0.655328\pi\)
\(164\) 2.60543 + 1.50425i 0.203450 + 0.117462i
\(165\) 1.69223 8.73824i 0.131740 0.680271i
\(166\) 3.72979i 0.289488i
\(167\) 11.6602 + 6.73204i 0.902297 + 0.520941i 0.877945 0.478762i \(-0.158914\pi\)
0.0243520 + 0.999703i \(0.492248\pi\)
\(168\) −4.56338 0.419048i −0.352072 0.0323303i
\(169\) −12.9077 + 1.54676i −0.992896 + 0.118981i
\(170\) 9.59380 5.53898i 0.735811 0.424821i
\(171\) −1.45625 10.2580i −0.111362 0.784451i
\(172\) 5.61139 + 9.71922i 0.427865 + 0.741084i
\(173\) −5.08435 + 8.80635i −0.386556 + 0.669534i −0.991984 0.126366i \(-0.959669\pi\)
0.605428 + 0.795900i \(0.293002\pi\)
\(174\) 0.0649367 0.335317i 0.00492284 0.0254203i
\(175\) −4.42957 6.16136i −0.334844 0.465755i
\(176\) 1.75974 + 3.04796i 0.132645 + 0.229748i
\(177\) 2.14182 0.739157i 0.160989 0.0555585i
\(178\) 14.4601i 1.08383i
\(179\) −7.39608 + 4.27013i −0.552809 + 0.319164i −0.750254 0.661150i \(-0.770069\pi\)
0.197445 + 0.980314i \(0.436736\pi\)
\(180\) −1.63522 + 4.06360i −0.121882 + 0.302883i
\(181\) 25.4759i 1.89361i 0.321810 + 0.946804i \(0.395709\pi\)
−0.321810 + 0.946804i \(0.604291\pi\)
\(182\) 8.91353 + 3.39839i 0.660715 + 0.251905i
\(183\) 0.329189 1.69985i 0.0243344 0.125657i
\(184\) 3.60696i 0.265909i
\(185\) −4.06249 7.03645i −0.298680 0.517330i
\(186\) 18.1773 + 3.52018i 1.33283 + 0.258112i
\(187\) −13.3514 23.1254i −0.976354 1.69110i
\(188\) −11.0787 + 6.39629i −0.807997 + 0.466497i
\(189\) −11.5516 + 7.45394i −0.840253 + 0.542194i
\(190\) 5.04260i 0.365829i
\(191\) 17.9487 + 10.3627i 1.29873 + 0.749819i 0.980184 0.198089i \(-0.0634737\pi\)
0.318541 + 0.947909i \(0.396807\pi\)
\(192\) −0.565041 1.63729i −0.0407783 0.118161i
\(193\) −8.21554 + 4.74324i −0.591367 + 0.341426i −0.765638 0.643272i \(-0.777577\pi\)
0.174271 + 0.984698i \(0.444243\pi\)
\(194\) 1.72747 + 2.99206i 0.124025 + 0.214818i
\(195\) 5.55633 7.22979i 0.397897 0.517736i
\(196\) −4.63164 5.24861i −0.330832 0.374901i
\(197\) 3.21420 5.56716i 0.229002 0.396644i −0.728510 0.685035i \(-0.759787\pi\)
0.957513 + 0.288391i \(0.0931203\pi\)
\(198\) 9.79510 + 3.94162i 0.696108 + 0.280118i
\(199\) 1.26513i 0.0896830i 0.998994 + 0.0448415i \(0.0142783\pi\)
−0.998994 + 0.0448415i \(0.985722\pi\)
\(200\) 1.43407 2.48388i 0.101404 0.175637i
\(201\) −7.23138 6.27731i −0.510063 0.442767i
\(202\) 5.80861 + 10.0608i 0.408693 + 0.707876i
\(203\) 0.423610 0.304545i 0.0297316 0.0213749i
\(204\) 4.28707 + 12.4224i 0.300155 + 0.869744i
\(205\) 4.39267 0.306797
\(206\) −16.2249 + 9.36744i −1.13044 + 0.652660i
\(207\) −6.67388 8.51769i −0.463867 0.592020i
\(208\) 0.214878 + 3.59914i 0.0148991 + 0.249556i
\(209\) −12.1549 −0.840775
\(210\) −6.07620 + 2.80159i −0.419298 + 0.193328i
\(211\) −6.24577 + 10.8180i −0.429977 + 0.744742i −0.996871 0.0790492i \(-0.974812\pi\)
0.566894 + 0.823791i \(0.308145\pi\)
\(212\) 4.21555 + 2.43385i 0.289525 + 0.167158i
\(213\) 12.1199 13.9619i 0.830438 0.956655i
\(214\) 0.350806i 0.0239806i
\(215\) 14.1909 + 8.19314i 0.967814 + 0.558768i
\(216\) −4.36376 2.82092i −0.296917 0.191939i
\(217\) 16.5092 + 22.9637i 1.12072 + 1.55887i
\(218\) 8.12542 + 4.69121i 0.550323 + 0.317729i
\(219\) 10.0126 + 1.93902i 0.676591 + 0.131027i
\(220\) 4.45029 + 2.56938i 0.300039 + 0.173227i
\(221\) −1.63032 27.3073i −0.109667 1.83689i
\(222\) 9.11107 3.14429i 0.611495 0.211031i
\(223\) −3.78556 + 6.55677i −0.253500 + 0.439074i −0.964487 0.264131i \(-0.914915\pi\)
0.710987 + 0.703205i \(0.248248\pi\)
\(224\) 1.08820 2.41160i 0.0727084 0.161132i
\(225\) −1.20937 8.51899i −0.0806247 0.567933i
\(226\) 5.03517 2.90706i 0.334935 0.193375i
\(227\) 25.4572i 1.68965i −0.535042 0.844826i \(-0.679704\pi\)
0.535042 0.844826i \(-0.320296\pi\)
\(228\) 5.87274 + 1.13730i 0.388932 + 0.0753196i
\(229\) 5.51406 + 9.55063i 0.364379 + 0.631124i 0.988676 0.150063i \(-0.0479478\pi\)
−0.624297 + 0.781187i \(0.714614\pi\)
\(230\) −2.63325 4.56092i −0.173631 0.300738i
\(231\) 6.75311 + 14.6464i 0.444322 + 0.963661i
\(232\) 0.170773 + 0.0985961i 0.0112118 + 0.00647315i
\(233\) −6.18721 + 3.57219i −0.405338 + 0.234022i −0.688785 0.724966i \(-0.741855\pi\)
0.283447 + 0.958988i \(0.408522\pi\)
\(234\) 7.16683 + 8.10164i 0.468510 + 0.529621i
\(235\) −9.33916 + 16.1759i −0.609219 + 1.05520i
\(236\) 1.30815i 0.0851532i
\(237\) 0.396590 0.456866i 0.0257613 0.0296767i
\(238\) −8.25637 + 18.2972i −0.535181 + 1.18603i
\(239\) 7.32463 0.473791 0.236896 0.971535i \(-0.423870\pi\)
0.236896 + 0.971535i \(0.423870\pi\)
\(240\) −1.90978 1.65781i −0.123276 0.107011i
\(241\) 17.4268 1.12256 0.561280 0.827626i \(-0.310309\pi\)
0.561280 + 0.827626i \(0.310309\pi\)
\(242\) 0.693357 1.20093i 0.0445707 0.0771986i
\(243\) −15.5243 + 1.41269i −0.995885 + 0.0906244i
\(244\) 0.865717 + 0.499822i 0.0554219 + 0.0319978i
\(245\) −9.68832 3.25543i −0.618964 0.207982i
\(246\) −0.990716 + 5.11581i −0.0631657 + 0.326172i
\(247\) −11.1358 5.57236i −0.708555 0.354561i
\(248\) −5.34484 + 9.25753i −0.339397 + 0.587854i
\(249\) −6.10676 + 2.10748i −0.387000 + 0.133556i
\(250\) 11.4882i 0.726577i
\(251\) −6.39321 11.0734i −0.403536 0.698944i 0.590614 0.806954i \(-0.298886\pi\)
−0.994150 + 0.108010i \(0.965552\pi\)
\(252\) −1.89239 7.70836i −0.119209 0.485581i
\(253\) −10.9939 + 6.34731i −0.691178 + 0.399052i
\(254\) 7.87940 13.6475i 0.494397 0.856321i
\(255\) 14.4898 + 12.5781i 0.907388 + 0.787672i
\(256\) 1.00000 0.0625000
\(257\) 21.3460 1.33153 0.665764 0.746163i \(-0.268106\pi\)
0.665764 + 0.746163i \(0.268106\pi\)
\(258\) −12.7425 + 14.6793i −0.793316 + 0.913891i
\(259\) 13.4199 + 6.05552i 0.833870 + 0.376272i
\(260\) 2.89925 + 4.39416i 0.179804 + 0.272514i
\(261\) 0.585704 0.0831475i 0.0362542 0.00514670i
\(262\) −6.32520 10.9556i −0.390772 0.676837i
\(263\) −13.7817 + 7.95686i −0.849816 + 0.490641i −0.860589 0.509301i \(-0.829904\pi\)
0.0107730 + 0.999942i \(0.496571\pi\)
\(264\) −3.99607 + 4.60343i −0.245941 + 0.283321i
\(265\) 7.10729 0.436597
\(266\) 5.33380 + 7.41911i 0.327037 + 0.454895i
\(267\) −23.6754 + 8.17053i −1.44891 + 0.500028i
\(268\) 4.78794 2.76432i 0.292470 0.168858i
\(269\) 15.4992 0.945002 0.472501 0.881330i \(-0.343351\pi\)
0.472501 + 0.881330i \(0.343351\pi\)
\(270\) −7.57727 0.381234i −0.461138 0.0232011i
\(271\) 14.9966 0.910977 0.455489 0.890242i \(-0.349465\pi\)
0.455489 + 0.890242i \(0.349465\pi\)
\(272\) −7.58718 −0.460040
\(273\) −0.527644 + 16.5143i −0.0319345 + 0.999490i
\(274\) −1.25158 −0.0756107
\(275\) −10.0943 −0.608711
\(276\) 5.90566 2.03808i 0.355479 0.122678i
\(277\) −0.719351 −0.0432216 −0.0216108 0.999766i \(-0.506879\pi\)
−0.0216108 + 0.999766i \(0.506879\pi\)
\(278\) −8.68419 + 5.01382i −0.520843 + 0.300709i
\(279\) 4.50738 + 31.7507i 0.269850 + 1.90086i
\(280\) −0.384576 3.84385i −0.0229828 0.229714i
\(281\) 7.30448 0.435749 0.217874 0.975977i \(-0.430088\pi\)
0.217874 + 0.975977i \(0.430088\pi\)
\(282\) −16.7325 14.5249i −0.996406 0.864945i
\(283\) 12.9252 7.46234i 0.768320 0.443590i −0.0639547 0.997953i \(-0.520371\pi\)
0.832275 + 0.554363i \(0.187038\pi\)
\(284\) 5.33718 + 9.24427i 0.316703 + 0.548546i
\(285\) 8.25622 2.84928i 0.489056 0.168777i
\(286\) 10.5919 6.98849i 0.626312 0.413238i
\(287\) −6.46287 + 4.64634i −0.381491 + 0.274265i
\(288\) 2.36146 1.85028i 0.139150 0.109029i
\(289\) 40.5653 2.38619
\(290\) 0.287918 0.0169072
\(291\) −3.92279 + 4.51901i −0.229958 + 0.264909i
\(292\) −2.94410 + 5.09933i −0.172290 + 0.298416i
\(293\) 13.1158 7.57239i 0.766231 0.442384i −0.0652973 0.997866i \(-0.520800\pi\)
0.831529 + 0.555482i \(0.187466\pi\)
\(294\) 5.97644 10.5490i 0.348553 0.615232i
\(295\) 0.955007 + 1.65412i 0.0556027 + 0.0963066i
\(296\) 5.56471i 0.323442i
\(297\) −0.918945 + 18.2646i −0.0533226 + 1.05982i
\(298\) 1.62311 2.81131i 0.0940242 0.162855i
\(299\) −12.9820 + 0.775059i −0.750767 + 0.0448228i
\(300\) 4.87714 + 0.944496i 0.281582 + 0.0545305i
\(301\) −29.5452 + 2.95599i −1.70296 + 0.170380i
\(302\) 8.04225 + 4.64320i 0.462780 + 0.267186i
\(303\) −13.1904 + 15.1952i −0.757768 + 0.872940i
\(304\) −1.72681 + 2.99093i −0.0990395 + 0.171541i
\(305\) 1.45957 0.0835748
\(306\) −17.9168 + 14.0384i −1.02424 + 0.802520i
\(307\) 0.289284 0.0165103 0.00825515 0.999966i \(-0.497372\pi\)
0.00825515 + 0.999966i \(0.497372\pi\)
\(308\) −9.26540 + 0.927001i −0.527945 + 0.0528208i
\(309\) −24.5050 21.2719i −1.39404 1.21012i
\(310\) 15.6079i 0.886468i
\(311\) −5.96970 + 10.3398i −0.338511 + 0.586318i −0.984153 0.177322i \(-0.943256\pi\)
0.645642 + 0.763640i \(0.276590\pi\)
\(312\) −5.77144 + 2.38548i −0.326743 + 0.135051i
\(313\) −7.95301 + 4.59167i −0.449530 + 0.259537i −0.707632 0.706581i \(-0.750236\pi\)
0.258101 + 0.966118i \(0.416903\pi\)
\(314\) 16.2305 + 9.37071i 0.915942 + 0.528820i
\(315\) −8.02033 8.36551i −0.451895 0.471343i
\(316\) 0.174645 + 0.302494i 0.00982454 + 0.0170166i
\(317\) −11.5121 19.9395i −0.646582 1.11991i −0.983934 0.178534i \(-0.942864\pi\)
0.337352 0.941379i \(-0.390469\pi\)
\(318\) −1.60297 + 8.27732i −0.0898899 + 0.464169i
\(319\) 0.694013i 0.0388573i
\(320\) 1.26448 0.730045i 0.0706863 0.0408108i
\(321\) 0.574372 0.198220i 0.0320583 0.0110635i
\(322\) 8.69856 + 3.92510i 0.484752 + 0.218737i
\(323\) 13.1016 22.6927i 0.728994 1.26265i
\(324\) 2.15296 8.73869i 0.119609 0.485483i
\(325\) −9.24798 4.62768i −0.512986 0.256698i
\(326\) −0.787553 0.454694i −0.0436185 0.0251832i
\(327\) −3.08969 + 15.9544i −0.170860 + 0.882281i
\(328\) −2.60543 1.50425i −0.143861 0.0830581i
\(329\) −3.36946 33.6778i −0.185764 1.85672i
\(330\) −1.69223 + 8.73824i −0.0931540 + 0.481024i
\(331\) −20.4980 11.8345i −1.12667 0.650483i −0.183575 0.983006i \(-0.558767\pi\)
−0.943095 + 0.332522i \(0.892100\pi\)
\(332\) 3.72979i 0.204699i
\(333\) 10.2963 + 13.1408i 0.564231 + 0.720113i
\(334\) −11.6602 6.73204i −0.638020 0.368361i
\(335\) 4.03616 6.99083i 0.220519 0.381950i
\(336\) 4.56338 + 0.419048i 0.248953 + 0.0228610i
\(337\) 19.1537 1.04337 0.521684 0.853139i \(-0.325304\pi\)
0.521684 + 0.853139i \(0.325304\pi\)
\(338\) 12.9077 1.54676i 0.702084 0.0841325i
\(339\) 7.60478 + 6.60144i 0.413035 + 0.358541i
\(340\) −9.59380 + 5.53898i −0.520297 + 0.300394i
\(341\) 37.6220 2.03735
\(342\) 1.45625 + 10.2580i 0.0787447 + 0.554690i
\(343\) 17.6977 5.45814i 0.955586 0.294712i
\(344\) −5.61139 9.71922i −0.302546 0.524025i
\(345\) 5.97967 6.88850i 0.321934 0.370865i
\(346\) 5.08435 8.80635i 0.273336 0.473432i
\(347\) 31.7120i 1.70239i 0.524852 + 0.851194i \(0.324121\pi\)
−0.524852 + 0.851194i \(0.675879\pi\)
\(348\) −0.0649367 + 0.335317i −0.00348097 + 0.0179749i
\(349\) −3.87835 + 6.71749i −0.207603 + 0.359579i −0.950959 0.309317i \(-0.899900\pi\)
0.743356 + 0.668896i \(0.233233\pi\)
\(350\) 4.42957 + 6.16136i 0.236771 + 0.329338i
\(351\) −9.21520 + 16.3120i −0.491871 + 0.870668i
\(352\) −1.75974 3.04796i −0.0937944 0.162457i
\(353\) 0.491689 0.283877i 0.0261700 0.0151092i −0.486858 0.873481i \(-0.661857\pi\)
0.513028 + 0.858372i \(0.328524\pi\)
\(354\) −2.14182 + 0.739157i −0.113836 + 0.0392858i
\(355\) 13.4975 + 7.79277i 0.716371 + 0.413597i
\(356\) 14.4601i 0.766382i
\(357\) −34.6231 3.17939i −1.83245 0.168271i
\(358\) 7.39608 4.27013i 0.390895 0.225683i
\(359\) 3.12906 + 5.41969i 0.165145 + 0.286040i 0.936707 0.350115i \(-0.113857\pi\)
−0.771562 + 0.636155i \(0.780524\pi\)
\(360\) 1.63522 4.06360i 0.0861837 0.214170i
\(361\) 3.53624 + 6.12495i 0.186118 + 0.322366i
\(362\) 25.4759i 1.33898i
\(363\) 2.35805 + 0.456654i 0.123765 + 0.0239681i
\(364\) −8.91353 3.39839i −0.467196 0.178124i
\(365\) 8.59731i 0.450004i
\(366\) −0.329189 + 1.69985i −0.0172070 + 0.0888527i
\(367\) −18.6936 + 10.7928i −0.975800 + 0.563378i −0.900999 0.433820i \(-0.857165\pi\)
−0.0748003 + 0.997199i \(0.523832\pi\)
\(368\) 3.60696i 0.188026i
\(369\) −8.93588 + 1.26855i −0.465183 + 0.0660382i
\(370\) 4.06249 + 7.03645i 0.211199 + 0.365807i
\(371\) −10.4568 + 7.51772i −0.542892 + 0.390300i
\(372\) −18.1773 3.52018i −0.942451 0.182513i
\(373\) 0.378056 0.654812i 0.0195750 0.0339049i −0.856072 0.516857i \(-0.827102\pi\)
0.875647 + 0.482952i \(0.160435\pi\)
\(374\) 13.3514 + 23.1254i 0.690387 + 1.19579i
\(375\) 18.8095 6.49130i 0.971320 0.335209i
\(376\) 11.0787 6.39629i 0.571340 0.329863i
\(377\) 0.318166 0.635824i 0.0163864 0.0327466i
\(378\) 11.5516 7.45394i 0.594149 0.383389i
\(379\) 6.26101 + 3.61480i 0.321607 + 0.185680i 0.652108 0.758126i \(-0.273885\pi\)
−0.330502 + 0.943805i \(0.607218\pi\)
\(380\) 5.04260i 0.258680i
\(381\) 26.7972 + 5.18947i 1.37286 + 0.265865i
\(382\) −17.9487 10.3627i −0.918338 0.530202i
\(383\) 1.16788 + 0.674277i 0.0596760 + 0.0344540i 0.529541 0.848284i \(-0.322364\pi\)
−0.469865 + 0.882738i \(0.655697\pi\)
\(384\) 0.565041 + 1.63729i 0.0288346 + 0.0835528i
\(385\) −11.0391 + 7.93633i −0.562606 + 0.404473i
\(386\) 8.21554 4.74324i 0.418160 0.241425i
\(387\) −31.2343 12.5689i −1.58773 0.638913i
\(388\) −1.72747 2.99206i −0.0876989 0.151899i
\(389\) 3.70239 + 2.13758i 0.187719 + 0.108379i 0.590914 0.806734i \(-0.298767\pi\)
−0.403196 + 0.915114i \(0.632101\pi\)
\(390\) −5.55633 + 7.22979i −0.281356 + 0.366095i
\(391\) 27.3667i 1.38399i
\(392\) 4.63164 + 5.24861i 0.233933 + 0.265095i
\(393\) 14.3635 16.5465i 0.724541 0.834663i
\(394\) −3.21420 + 5.56716i −0.161929 + 0.280470i
\(395\) 0.441668 + 0.254997i 0.0222228 + 0.0128303i
\(396\) −9.79510 3.94162i −0.492223 0.198074i
\(397\) −2.86479 + 4.96196i −0.143780 + 0.249034i −0.928917 0.370288i \(-0.879259\pi\)
0.785137 + 0.619322i \(0.212592\pi\)
\(398\) 1.26513i 0.0634155i
\(399\) −9.13343 + 12.9251i −0.457244 + 0.647064i
\(400\) −1.43407 + 2.48388i −0.0717034 + 0.124194i
\(401\) 21.9761 1.09743 0.548717 0.836008i \(-0.315117\pi\)
0.548717 + 0.836008i \(0.315117\pi\)
\(402\) 7.23138 + 6.27731i 0.360669 + 0.313084i
\(403\) 34.4676 + 17.2476i 1.71696 + 0.859163i
\(404\) −5.80861 10.0608i −0.288989 0.500544i
\(405\) −3.65728 12.6216i −0.181732 0.627173i
\(406\) −0.423610 + 0.304545i −0.0210234 + 0.0151143i
\(407\) 16.9610 9.79244i 0.840726 0.485393i
\(408\) −4.28707 12.4224i −0.212241 0.615002i
\(409\) −8.43899 −0.417281 −0.208641 0.977992i \(-0.566904\pi\)
−0.208641 + 0.977992i \(0.566904\pi\)
\(410\) −4.39267 −0.216938
\(411\) −0.707194 2.04920i −0.0348833 0.101080i
\(412\) 16.2249 9.36744i 0.799343 0.461501i
\(413\) −3.15473 1.42353i −0.155234 0.0700471i
\(414\) 6.67388 + 8.51769i 0.328003 + 0.418622i
\(415\) −2.72292 4.71623i −0.133663 0.231511i
\(416\) −0.214878 3.59914i −0.0105353 0.176462i
\(417\) −13.1160 11.3856i −0.642294 0.557553i
\(418\) 12.1549 0.594518
\(419\) 12.4744 21.6063i 0.609413 1.05553i −0.381924 0.924194i \(-0.624738\pi\)
0.991337 0.131341i \(-0.0419282\pi\)
\(420\) 6.07620 2.80159i 0.296488 0.136704i
\(421\) 23.2628i 1.13376i −0.823800 0.566881i \(-0.808150\pi\)
0.823800 0.566881i \(-0.191850\pi\)
\(422\) 6.24577 10.8180i 0.304040 0.526612i
\(423\) 14.3270 35.6032i 0.696601 1.73109i
\(424\) −4.21555 2.43385i −0.204725 0.118198i
\(425\) 10.8805 18.8456i 0.527783 0.914147i
\(426\) −12.1199 + 13.9619i −0.587209 + 0.676457i
\(427\) −2.14744 + 1.54386i −0.103922 + 0.0747125i
\(428\) 0.350806i 0.0169568i
\(429\) 17.4271 + 13.3933i 0.841386 + 0.646633i
\(430\) −14.1909 8.19314i −0.684348 0.395108i
\(431\) 11.3685 + 19.6908i 0.547602 + 0.948474i 0.998438 + 0.0558673i \(0.0177924\pi\)
−0.450837 + 0.892606i \(0.648874\pi\)
\(432\) 4.36376 + 2.82092i 0.209952 + 0.135721i
\(433\) 11.9025 6.87194i 0.572000 0.330244i −0.185948 0.982560i \(-0.559536\pi\)
0.757948 + 0.652315i \(0.226202\pi\)
\(434\) −16.5092 22.9637i −0.792468 1.10229i
\(435\) 0.162686 + 0.471407i 0.00780018 + 0.0226022i
\(436\) −8.12542 4.69121i −0.389137 0.224668i
\(437\) −10.7882 6.22855i −0.516068 0.297952i
\(438\) −10.0126 1.93902i −0.478422 0.0926501i
\(439\) 12.1761i 0.581134i −0.956855 0.290567i \(-0.906156\pi\)
0.956855 0.290567i \(-0.0938439\pi\)
\(440\) −4.45029 2.56938i −0.212159 0.122490i
\(441\) 20.6488 + 3.82455i 0.983276 + 0.182121i
\(442\) 1.63032 + 27.3073i 0.0775465 + 1.29888i
\(443\) 1.94173 1.12106i 0.0922543 0.0532630i −0.453163 0.891428i \(-0.649704\pi\)
0.545417 + 0.838165i \(0.316371\pi\)
\(444\) −9.11107 + 3.14429i −0.432392 + 0.149222i
\(445\) −10.5565 18.2844i −0.500426 0.866763i
\(446\) 3.78556 6.55677i 0.179251 0.310472i
\(447\) 5.52006 + 1.06900i 0.261090 + 0.0505620i
\(448\) −1.08820 + 2.41160i −0.0514126 + 0.113937i
\(449\) −3.91929 6.78842i −0.184963 0.320365i 0.758601 0.651555i \(-0.225883\pi\)
−0.943564 + 0.331190i \(0.892550\pi\)
\(450\) 1.20937 + 8.51899i 0.0570102 + 0.401589i
\(451\) 10.5883i 0.498584i
\(452\) −5.03517 + 2.90706i −0.236834 + 0.136736i
\(453\) −3.05807 + 15.7911i −0.143681 + 0.741932i
\(454\) 25.4572i 1.19476i
\(455\) −13.7519 + 2.21010i −0.644700 + 0.103611i
\(456\) −5.87274 1.13730i −0.275016 0.0532590i
\(457\) 6.54295i 0.306066i −0.988221 0.153033i \(-0.951096\pi\)
0.988221 0.153033i \(-0.0489041\pi\)
\(458\) −5.51406 9.55063i −0.257655 0.446272i
\(459\) −33.1087 21.4028i −1.54538 0.998997i
\(460\) 2.63325 + 4.56092i 0.122776 + 0.212654i
\(461\) 20.3030 11.7219i 0.945606 0.545946i 0.0538925 0.998547i \(-0.482837\pi\)
0.891713 + 0.452601i \(0.149504\pi\)
\(462\) −6.75311 14.6464i −0.314183 0.681411i
\(463\) 37.3356i 1.73513i −0.497321 0.867567i \(-0.665683\pi\)
0.497321 0.867567i \(-0.334317\pi\)
\(464\) −0.170773 0.0985961i −0.00792796 0.00457721i
\(465\) −25.5547 + 8.81910i −1.18507 + 0.408976i
\(466\) 6.18721 3.57219i 0.286617 0.165479i
\(467\) −3.36611 5.83027i −0.155765 0.269792i 0.777572 0.628793i \(-0.216451\pi\)
−0.933337 + 0.359001i \(0.883118\pi\)
\(468\) −7.16683 8.10164i −0.331287 0.374498i
\(469\) 1.45620 + 14.5547i 0.0672410 + 0.672075i
\(470\) 9.33916 16.1759i 0.430783 0.746138i
\(471\) −6.17167 + 31.8690i −0.284376 + 1.46845i
\(472\) 1.30815i 0.0602124i
\(473\) −19.7492 + 34.2066i −0.908068 + 1.57282i
\(474\) −0.396590 + 0.456866i −0.0182160 + 0.0209846i
\(475\) −4.95273 8.57838i −0.227247 0.393603i
\(476\) 8.25637 18.2972i 0.378430 0.838653i
\(477\) −14.4581 + 2.05250i −0.661993 + 0.0939776i
\(478\) −7.32463 −0.335021
\(479\) −11.2141 + 6.47445i −0.512384 + 0.295825i −0.733813 0.679351i \(-0.762261\pi\)
0.221429 + 0.975176i \(0.428928\pi\)
\(480\) 1.90978 + 1.65781i 0.0871691 + 0.0756684i
\(481\) 20.0282 1.19574i 0.913207 0.0545209i
\(482\) −17.4268 −0.793769
\(483\) −1.51149 + 16.4599i −0.0687753 + 0.748953i
\(484\) −0.693357 + 1.20093i −0.0315162 + 0.0545877i
\(485\) −4.36868 2.52226i −0.198372 0.114530i
\(486\) 15.5243 1.41269i 0.704197 0.0640811i
\(487\) 8.67630i 0.393161i −0.980488 0.196580i \(-0.937016\pi\)
0.980488 0.196580i \(-0.0629837\pi\)
\(488\) −0.865717 0.499822i −0.0391892 0.0226259i
\(489\) 0.299467 1.54638i 0.0135424 0.0699295i
\(490\) 9.68832 + 3.25543i 0.437674 + 0.147065i
\(491\) 14.7725 + 8.52893i 0.666676 + 0.384905i 0.794816 0.606851i \(-0.207567\pi\)
−0.128140 + 0.991756i \(0.540901\pi\)
\(492\) 0.990716 5.11581i 0.0446649 0.230639i
\(493\) 1.29569 + 0.748066i 0.0583549 + 0.0336912i
\(494\) 11.1358 + 5.57236i 0.501024 + 0.250712i
\(495\) −15.2632 + 2.16679i −0.686031 + 0.0973901i
\(496\) 5.34484 9.25753i 0.239990 0.415675i
\(497\) −28.1014 + 2.81154i −1.26052 + 0.126115i
\(498\) 6.10676 2.10748i 0.273650 0.0944386i
\(499\) 20.1546 11.6362i 0.902243 0.520910i 0.0243156 0.999704i \(-0.492259\pi\)
0.877927 + 0.478794i \(0.158926\pi\)
\(500\) 11.4882i 0.513768i
\(501\) 4.43381 22.8951i 0.198088 1.02288i
\(502\) 6.39321 + 11.0734i 0.285343 + 0.494228i
\(503\) −4.33129 7.50201i −0.193122 0.334498i 0.753161 0.657836i \(-0.228528\pi\)
−0.946283 + 0.323338i \(0.895195\pi\)
\(504\) 1.89239 + 7.70836i 0.0842937 + 0.343358i
\(505\) −14.6897 8.48110i −0.653683 0.377404i
\(506\) 10.9939 6.34731i 0.488737 0.282172i
\(507\) 9.82585 + 20.2596i 0.436381 + 0.899762i
\(508\) −7.87940 + 13.6475i −0.349592 + 0.605511i
\(509\) 5.78402i 0.256372i 0.991750 + 0.128186i \(0.0409155\pi\)
−0.991750 + 0.128186i \(0.959085\pi\)
\(510\) −14.4898 12.5781i −0.641621 0.556968i
\(511\) −9.09378 12.6491i −0.402285 0.559563i
\(512\) −1.00000 −0.0441942
\(513\) −15.9725 + 8.18050i −0.705205 + 0.361178i
\(514\) −21.3460 −0.941532
\(515\) 13.6773 23.6898i 0.602694 1.04390i
\(516\) 12.7425 14.6793i 0.560959 0.646218i
\(517\) −38.9912 22.5116i −1.71483 0.990058i
\(518\) −13.4199 6.05552i −0.589635 0.266064i
\(519\) 17.2914 + 3.34862i 0.759010 + 0.146988i
\(520\) −2.89925 4.39416i −0.127140 0.192697i
\(521\) −5.46547 + 9.46647i −0.239447 + 0.414734i −0.960556 0.278088i \(-0.910299\pi\)
0.721109 + 0.692822i \(0.243633\pi\)
\(522\) −0.585704 + 0.0831475i −0.0256356 + 0.00363927i
\(523\) 13.6134i 0.595270i −0.954680 0.297635i \(-0.903802\pi\)
0.954680 0.297635i \(-0.0961979\pi\)
\(524\) 6.32520 + 10.9556i 0.276318 + 0.478596i
\(525\) −7.58506 + 10.7339i −0.331039 + 0.468467i
\(526\) 13.7817 7.95686i 0.600910 0.346936i
\(527\) −40.5522 + 70.2385i −1.76648 + 3.05964i
\(528\) 3.99607 4.60343i 0.173907 0.200338i
\(529\) 9.98981 0.434340
\(530\) −7.10729 −0.308721
\(531\) −2.42043 3.08913i −0.105038 0.134057i
\(532\) −5.33380 7.41911i −0.231250 0.321659i
\(533\) −4.85414 + 9.70054i −0.210256 + 0.420177i
\(534\) 23.6754 8.17053i 1.02453 0.353573i
\(535\) 0.256104 + 0.443585i 0.0110723 + 0.0191779i
\(536\) −4.78794 + 2.76432i −0.206808 + 0.119400i
\(537\) 11.1705 + 9.69675i 0.482044 + 0.418446i
\(538\) −15.4992 −0.668218
\(539\) 7.84705 23.3532i 0.337996 1.00589i
\(540\) 7.57727 + 0.381234i 0.326074 + 0.0164057i
\(541\) −3.38852 + 1.95636i −0.145684 + 0.0841105i −0.571070 0.820901i \(-0.693472\pi\)
0.425386 + 0.905012i \(0.360138\pi\)
\(542\) −14.9966 −0.644158
\(543\) 41.7115 14.3949i 1.79001 0.617746i
\(544\) 7.58718 0.325298
\(545\) −13.6992 −0.586809
\(546\) 0.527644 16.5143i 0.0225811 0.706746i
\(547\) −10.8125 −0.462308 −0.231154 0.972917i \(-0.574250\pi\)
−0.231154 + 0.972917i \(0.574250\pi\)
\(548\) 1.25158 0.0534648
\(549\) −2.96916 + 0.421507i −0.126721 + 0.0179895i
\(550\) 10.0943 0.430424
\(551\) 0.589787 0.340514i 0.0251258 0.0145064i
\(552\) −5.90566 + 2.03808i −0.251361 + 0.0867466i
\(553\) −0.919543 + 0.0920001i −0.0391030 + 0.00391224i
\(554\) 0.719351 0.0305623
\(555\) −9.22525 + 10.6274i −0.391590 + 0.451107i
\(556\) 8.68419 5.01382i 0.368292 0.212633i
\(557\) 11.6199 + 20.1263i 0.492351 + 0.852778i 0.999961 0.00880939i \(-0.00280415\pi\)
−0.507610 + 0.861587i \(0.669471\pi\)
\(558\) −4.50738 31.7507i −0.190812 1.34411i
\(559\) −33.7751 + 22.2847i −1.42853 + 0.942541i
\(560\) 0.384576 + 3.84385i 0.0162513 + 0.162432i
\(561\) −30.3189 + 34.9270i −1.28007 + 1.47462i
\(562\) −7.30448 −0.308121
\(563\) −11.8776 −0.500580 −0.250290 0.968171i \(-0.580526\pi\)
−0.250290 + 0.968171i \(0.580526\pi\)
\(564\) 16.7325 + 14.5249i 0.704566 + 0.611609i
\(565\) −4.24457 + 7.35181i −0.178570 + 0.309293i
\(566\) −12.9252 + 7.46234i −0.543285 + 0.313666i
\(567\) 18.7314 + 14.7015i 0.786645 + 0.617406i
\(568\) −5.33718 9.24427i −0.223943 0.387881i
\(569\) 1.93128i 0.0809635i −0.999180 0.0404817i \(-0.987111\pi\)
0.999180 0.0404817i \(-0.0128893\pi\)
\(570\) −8.25622 + 2.84928i −0.345815 + 0.119343i
\(571\) 6.46083 11.1905i 0.270377 0.468307i −0.698581 0.715531i \(-0.746185\pi\)
0.968958 + 0.247224i \(0.0795182\pi\)
\(572\) −10.5919 + 6.98849i −0.442869 + 0.292203i
\(573\) 6.82502 35.2427i 0.285119 1.47229i
\(574\) 6.46287 4.64634i 0.269755 0.193934i
\(575\) −8.95926 5.17263i −0.373627 0.215714i
\(576\) −2.36146 + 1.85028i −0.0983940 + 0.0770948i
\(577\) 18.9813 32.8766i 0.790203 1.36867i −0.135638 0.990758i \(-0.543308\pi\)
0.925841 0.377913i \(-0.123358\pi\)
\(578\) −40.5653 −1.68729
\(579\) 12.4082 + 10.7711i 0.515667 + 0.447632i
\(580\) −0.287918 −0.0119552
\(581\) 8.99477 + 4.05876i 0.373166 + 0.168386i
\(582\) 3.92279 4.51901i 0.162605 0.187319i
\(583\) 17.1318i 0.709525i
\(584\) 2.94410 5.09933i 0.121828 0.211012i
\(585\) −14.9768 5.01221i −0.619216 0.207229i
\(586\) −13.1158 + 7.57239i −0.541807 + 0.312813i
\(587\) 3.62595 + 2.09345i 0.149659 + 0.0864058i 0.572960 0.819584i \(-0.305795\pi\)
−0.423300 + 0.905989i \(0.639129\pi\)
\(588\) −5.97644 + 10.5490i −0.246464 + 0.435035i
\(589\) 18.4591 + 31.9720i 0.760592 + 1.31738i
\(590\) −0.955007 1.65412i −0.0393170 0.0680991i
\(591\) −10.9312 2.11692i −0.449651 0.0870783i
\(592\) 5.56471i 0.228708i
\(593\) 25.7814 14.8849i 1.05872 0.611250i 0.133639 0.991030i \(-0.457334\pi\)
0.925077 + 0.379780i \(0.124000\pi\)
\(594\) 0.918945 18.2646i 0.0377048 0.749407i
\(595\) −2.91785 29.1639i −0.119620 1.19561i
\(596\) −1.62311 + 2.81131i −0.0664852 + 0.115156i
\(597\) 2.07140 0.714853i 0.0847766 0.0292570i
\(598\) 12.9820 0.775059i 0.530873 0.0316945i
\(599\) −14.8413 8.56865i −0.606401 0.350106i 0.165155 0.986268i \(-0.447188\pi\)
−0.771556 + 0.636162i \(0.780521\pi\)
\(600\) −4.87714 0.944496i −0.199109 0.0385589i
\(601\) −17.6704 10.2020i −0.720790 0.416149i 0.0942531 0.995548i \(-0.469954\pi\)
−0.815044 + 0.579400i \(0.803287\pi\)
\(602\) 29.5452 2.95599i 1.20417 0.120477i
\(603\) −6.19177 + 15.3868i −0.252148 + 0.626600i
\(604\) −8.04225 4.64320i −0.327235 0.188929i
\(605\) 2.02473i 0.0823169i
\(606\) 13.1904 15.1952i 0.535823 0.617262i
\(607\) −9.18240 5.30146i −0.372702 0.215180i 0.301936 0.953328i \(-0.402367\pi\)
−0.674638 + 0.738149i \(0.735700\pi\)
\(608\) 1.72681 2.99093i 0.0700315 0.121298i
\(609\) −0.737987 0.521493i −0.0299047 0.0211320i
\(610\) −1.45957 −0.0590963
\(611\) −25.4017 38.4994i −1.02764 1.55752i
\(612\) 17.9168 14.0384i 0.724244 0.567468i
\(613\) 19.7900 11.4258i 0.799310 0.461482i −0.0439195 0.999035i \(-0.513985\pi\)
0.843230 + 0.537553i \(0.180651\pi\)
\(614\) −0.289284 −0.0116745
\(615\) −2.48204 7.19209i −0.100085 0.290013i
\(616\) 9.26540 0.927001i 0.373314 0.0373500i
\(617\) 2.03229 + 3.52003i 0.0818170 + 0.141711i 0.904030 0.427468i \(-0.140594\pi\)
−0.822213 + 0.569179i \(0.807261\pi\)
\(618\) 24.5050 + 21.2719i 0.985734 + 0.855681i
\(619\) 5.71042 9.89074i 0.229521 0.397542i −0.728145 0.685423i \(-0.759617\pi\)
0.957666 + 0.287881i \(0.0929506\pi\)
\(620\) 15.6079i 0.626828i
\(621\) −10.1749 + 15.7399i −0.408306 + 0.631622i
\(622\) 5.96970 10.3398i 0.239363 0.414589i
\(623\) 34.8719 + 15.7354i 1.39711 + 0.630427i
\(624\) 5.77144 2.38548i 0.231042 0.0954957i
\(625\) 1.21656 + 2.10715i 0.0486624 + 0.0842858i
\(626\) 7.95301 4.59167i 0.317866 0.183520i
\(627\) 6.86804 + 19.9012i 0.274283 + 0.794778i
\(628\) −16.2305 9.37071i −0.647669 0.373932i
\(629\) 42.2205i 1.68344i
\(630\) 8.02033 + 8.36551i 0.319538 + 0.333290i
\(631\) −2.43600 + 1.40642i −0.0969755 + 0.0559888i −0.547703 0.836673i \(-0.684498\pi\)
0.450728 + 0.892661i \(0.351164\pi\)
\(632\) −0.174645 0.302494i −0.00694700 0.0120326i
\(633\) 21.2414 + 4.11355i 0.844268 + 0.163499i
\(634\) 11.5121 + 19.9395i 0.457203 + 0.791898i
\(635\) 23.0093i 0.913095i
\(636\) 1.60297 8.27732i 0.0635618 0.328217i
\(637\) 17.8953 17.7978i 0.709036 0.705173i
\(638\) 0.694013i 0.0274762i
\(639\) −29.7080 11.9547i −1.17523 0.472920i
\(640\) −1.26448 + 0.730045i −0.0499828 + 0.0288576i
\(641\) 22.9946i 0.908232i 0.890943 + 0.454116i \(0.150045\pi\)
−0.890943 + 0.454116i \(0.849955\pi\)
\(642\) −0.574372 + 0.198220i −0.0226686 + 0.00782310i
\(643\) −5.08228 8.80277i −0.200426 0.347147i 0.748240 0.663428i \(-0.230899\pi\)
−0.948666 + 0.316281i \(0.897566\pi\)
\(644\) −8.69856 3.92510i −0.342771 0.154671i
\(645\) 5.39611 27.8642i 0.212472 1.09715i
\(646\) −13.1016 + 22.6927i −0.515477 + 0.892832i
\(647\) 21.2471 + 36.8010i 0.835309 + 1.44680i 0.893778 + 0.448509i \(0.148045\pi\)
−0.0584688 + 0.998289i \(0.518622\pi\)
\(648\) −2.15296 + 8.73869i −0.0845763 + 0.343288i
\(649\) −3.98718 + 2.30200i −0.156510 + 0.0903613i
\(650\) 9.24798 + 4.62768i 0.362736 + 0.181513i
\(651\) 28.2698 40.0058i 1.10798 1.56795i
\(652\) 0.787553 + 0.454694i 0.0308430 + 0.0178072i
\(653\) 21.6406i 0.846862i 0.905928 + 0.423431i \(0.139174\pi\)
−0.905928 + 0.423431i \(0.860826\pi\)
\(654\) 3.08969 15.9544i 0.120817 0.623867i
\(655\) 15.9961 + 9.23536i 0.625020 + 0.360855i
\(656\) 2.60543 + 1.50425i 0.101725 + 0.0587309i
\(657\) −2.48280 17.4893i −0.0968633 0.682321i
\(658\) 3.36946 + 33.6778i 0.131355 + 1.31290i
\(659\) 4.44211 2.56466i 0.173040 0.0999048i −0.410978 0.911645i \(-0.634813\pi\)
0.584019 + 0.811740i \(0.301480\pi\)
\(660\) 1.69223 8.73824i 0.0658698 0.340135i
\(661\) 11.9740 + 20.7396i 0.465736 + 0.806678i 0.999234 0.0391228i \(-0.0124563\pi\)
−0.533499 + 0.845801i \(0.679123\pi\)
\(662\) 20.4980 + 11.8345i 0.796676 + 0.459961i
\(663\) −43.7889 + 18.0991i −1.70062 + 0.702910i
\(664\) 3.72979i 0.144744i
\(665\) −12.1607 5.48736i −0.471574 0.212791i
\(666\) −10.2963 13.1408i −0.398972 0.509197i
\(667\) 0.355633 0.615974i 0.0137701 0.0238506i
\(668\) 11.6602 + 6.73204i 0.451148 + 0.260471i
\(669\) 12.8744 + 2.49322i 0.497751 + 0.0963933i
\(670\) −4.03616 + 6.99083i −0.155930 + 0.270079i
\(671\) 3.51822i 0.135819i
\(672\) −4.56338 0.419048i −0.176036 0.0161651i
\(673\) −8.33251 + 14.4323i −0.321195 + 0.556326i −0.980735 0.195344i \(-0.937418\pi\)
0.659540 + 0.751669i \(0.270751\pi\)
\(674\) −19.1537 −0.737772
\(675\) −13.2647 + 6.79367i −0.510560 + 0.261489i
\(676\) −12.9077 + 1.54676i −0.496448 + 0.0594906i
\(677\) −18.1468 31.4312i −0.697439 1.20800i −0.969352 0.245678i \(-0.920989\pi\)
0.271913 0.962322i \(-0.412344\pi\)
\(678\) −7.60478 6.60144i −0.292060 0.253527i
\(679\) 9.09550 0.910002i 0.349053 0.0349227i
\(680\) 9.59380 5.53898i 0.367905 0.212410i
\(681\) −41.6808 + 14.3843i −1.59721 + 0.551209i
\(682\) −37.6220 −1.44062
\(683\) 36.5747 1.39949 0.699747 0.714391i \(-0.253296\pi\)
0.699747 + 0.714391i \(0.253296\pi\)
\(684\) −1.45625 10.2580i −0.0556809 0.392225i
\(685\) 1.58259 0.913710i 0.0604677 0.0349110i
\(686\) −17.6977 + 5.45814i −0.675701 + 0.208393i
\(687\) 12.5215 14.4246i 0.477726 0.550334i
\(688\) 5.61139 + 9.71922i 0.213932 + 0.370542i
\(689\) −7.85394 + 15.6954i −0.299211 + 0.597946i
\(690\) −5.97967 + 6.88850i −0.227642 + 0.262241i
\(691\) 17.4627 0.664312 0.332156 0.943225i \(-0.392224\pi\)
0.332156 + 0.943225i \(0.392224\pi\)
\(692\) −5.08435 + 8.80635i −0.193278 + 0.334767i
\(693\) 20.1646 19.3326i 0.765991 0.734386i
\(694\) 31.7120i 1.20377i
\(695\) 7.32063 12.6797i 0.277687 0.480969i
\(696\) 0.0649367 0.335317i 0.00246142 0.0127102i
\(697\) −19.7679 11.4130i −0.748761 0.432297i
\(698\) 3.87835 6.71749i 0.146798 0.254261i
\(699\) 9.34475 + 8.11185i 0.353451 + 0.306818i
\(700\) −4.42957 6.16136i −0.167422 0.232877i
\(701\) 42.7684i 1.61534i 0.589635 + 0.807670i \(0.299272\pi\)
−0.589635 + 0.807670i \(0.700728\pi\)
\(702\) 9.21520 16.3120i 0.347805 0.615655i
\(703\) 16.6436 + 9.60922i 0.627727 + 0.362418i
\(704\) 1.75974 + 3.04796i 0.0663226 + 0.114874i
\(705\) 31.7617 + 6.15089i 1.19621 + 0.231656i
\(706\) −0.491689 + 0.283877i −0.0185050 + 0.0106838i
\(707\) 30.5836 3.05988i 1.15021 0.115079i
\(708\) 2.14182 0.739157i 0.0804946 0.0277792i
\(709\) 31.6856 + 18.2937i 1.18998 + 0.687033i 0.958301 0.285760i \(-0.0922459\pi\)
0.231675 + 0.972793i \(0.425579\pi\)
\(710\) −13.4975 7.79277i −0.506551 0.292457i
\(711\) −0.972114 0.391185i −0.0364571 0.0146706i
\(712\) 14.4601i 0.541914i
\(713\) 33.3916 + 19.2786i 1.25052 + 0.721990i
\(714\) 34.6231 + 3.17939i 1.29574 + 0.118986i
\(715\) −8.29128 + 16.5693i −0.310076 + 0.619658i
\(716\) −7.39608 + 4.27013i −0.276404 + 0.159582i
\(717\) −4.13872 11.9926i −0.154563 0.447871i
\(718\) −3.12906 5.41969i −0.116775 0.202261i
\(719\) −9.53832 + 16.5209i −0.355719 + 0.616124i −0.987241 0.159234i \(-0.949097\pi\)
0.631521 + 0.775358i \(0.282431\pi\)
\(720\) −1.63522 + 4.06360i −0.0609410 + 0.151441i
\(721\) 4.93461 + 49.3216i 0.183775 + 1.83683i
\(722\) −3.53624 6.12495i −0.131605 0.227947i
\(723\) −9.84686 28.5328i −0.366209 1.06115i
\(724\) 25.4759i 0.946804i
\(725\) 0.489801 0.282787i 0.0181908 0.0105024i
\(726\) −2.35805 0.456654i −0.0875154 0.0169480i
\(727\) 9.70964i 0.360111i 0.983656 + 0.180055i \(0.0576277\pi\)
−0.983656 + 0.180055i \(0.942372\pi\)
\(728\) 8.91353 + 3.39839i 0.330357 + 0.125953i
\(729\) 11.0849 + 24.6196i 0.410551 + 0.911838i
\(730\) 8.59731i 0.318201i
\(731\) −42.5746 73.7414i −1.57468 2.72743i
\(732\) 0.329189 1.69985i 0.0121672 0.0628284i
\(733\) 16.1353 + 27.9472i 0.595972 + 1.03225i 0.993409 + 0.114624i \(0.0365664\pi\)
−0.397437 + 0.917629i \(0.630100\pi\)
\(734\) 18.6936 10.7928i 0.689995 0.398369i
\(735\) 0.144207 + 17.7021i 0.00531916 + 0.652951i
\(736\) 3.60696i 0.132954i
\(737\) 16.8510 + 9.72896i 0.620716 + 0.358371i
\(738\) 8.93588 1.26855i 0.328934 0.0466960i
\(739\) 19.4708 11.2415i 0.716246 0.413525i −0.0971231 0.995272i \(-0.530964\pi\)
0.813370 + 0.581747i \(0.197631\pi\)
\(740\) −4.06249 7.03645i −0.149340 0.258665i
\(741\) −2.83138 + 21.3812i −0.104013 + 0.785459i
\(742\) 10.4568 7.51772i 0.383883 0.275984i
\(743\) 19.9808 34.6077i 0.733023 1.26963i −0.222562 0.974919i \(-0.571442\pi\)
0.955585 0.294715i \(-0.0952248\pi\)
\(744\) 18.1773 + 3.52018i 0.666413 + 0.129056i
\(745\) 4.73977i 0.173652i
\(746\) −0.378056 + 0.654812i −0.0138416 + 0.0239744i
\(747\) 6.90114 + 8.80774i 0.252499 + 0.322258i
\(748\) −13.3514 23.1254i −0.488177 0.845548i
\(749\) −0.846003 0.381747i −0.0309123 0.0139487i
\(750\) −18.8095 + 6.49130i −0.686827 + 0.237029i
\(751\) 31.2080 1.13880 0.569399 0.822061i \(-0.307176\pi\)
0.569399 + 0.822061i \(0.307176\pi\)
\(752\) −11.0787 + 6.39629i −0.403998 + 0.233249i
\(753\) −14.5179 + 16.7245i −0.529062 + 0.609473i
\(754\) −0.318166 + 0.635824i −0.0115869 + 0.0231553i
\(755\) −13.5590 −0.493462
\(756\) −11.5516 + 7.45394i −0.420127 + 0.271097i
\(757\) −0.452106 + 0.783071i −0.0164321 + 0.0284612i −0.874125 0.485702i \(-0.838564\pi\)
0.857692 + 0.514163i \(0.171897\pi\)
\(758\) −6.26101 3.61480i −0.227410 0.131295i
\(759\) 16.6044 + 14.4137i 0.602701 + 0.523184i
\(760\) 5.04260i 0.182914i
\(761\) −36.2071 20.9042i −1.31251 0.757776i −0.329996 0.943982i \(-0.607047\pi\)
−0.982511 + 0.186206i \(0.940381\pi\)
\(762\) −26.7972 5.18947i −0.970759 0.187995i
\(763\) 20.1554 14.4903i 0.729675 0.524584i
\(764\) 17.9487 + 10.3627i 0.649363 + 0.374910i
\(765\) 12.4067 30.8312i 0.448565 1.11471i
\(766\) −1.16788 0.674277i −0.0421973 0.0243626i
\(767\) −4.70821 + 0.281093i −0.170004 + 0.0101497i
\(768\) −0.565041 1.63729i −0.0203892 0.0590807i
\(769\) −10.4819 + 18.1551i −0.377986 + 0.654691i −0.990769 0.135560i \(-0.956717\pi\)
0.612783 + 0.790251i \(0.290050\pi\)
\(770\) 11.0391 7.93633i 0.397822 0.286006i
\(771\) −12.0614 34.9497i −0.434380 1.25868i
\(772\) −8.21554 + 4.74324i −0.295684 + 0.170713i
\(773\) 23.1443i 0.832442i −0.909263 0.416221i \(-0.863354\pi\)
0.909263 0.416221i \(-0.136646\pi\)
\(774\)