Properties

Label 354.2.e.c.121.1
Level 354
Weight 2
Character 354.121
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 121.1
Character \(\chi\) = 354.121
Dual form 354.2.e.c.79.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.907575 - 0.419889i) q^{2} +(0.947653 + 0.319302i) q^{3} +(0.647386 - 0.762162i) q^{4} +(-2.35642 - 1.41781i) q^{5} +(0.994138 - 0.108119i) q^{6} +(0.260327 - 4.80144i) q^{7} +(0.267528 - 0.963550i) q^{8} +(0.796093 + 0.605174i) q^{9} +O(q^{10})\) \(q+(0.907575 - 0.419889i) q^{2} +(0.947653 + 0.319302i) q^{3} +(0.647386 - 0.762162i) q^{4} +(-2.35642 - 1.41781i) q^{5} +(0.994138 - 0.108119i) q^{6} +(0.260327 - 4.80144i) q^{7} +(0.267528 - 0.963550i) q^{8} +(0.796093 + 0.605174i) q^{9} +(-2.73396 - 0.297336i) q^{10} +(-0.0646256 + 0.394199i) q^{11} +(0.856857 - 0.515554i) q^{12} +(-0.265479 + 0.201812i) q^{13} +(-1.77981 - 4.46698i) q^{14} +(-1.78036 - 2.09601i) q^{15} +(-0.161782 - 0.986827i) q^{16} +(0.335166 + 6.18178i) q^{17} +(0.976621 + 0.214970i) q^{18} +(2.11735 - 2.00566i) q^{19} +(-2.60612 + 0.878104i) q^{20} +(1.77981 - 4.46698i) q^{21} +(0.106867 + 0.384901i) q^{22} +(1.98573 - 0.437093i) q^{23} +(0.561187 - 0.827689i) q^{24} +(1.20050 + 2.26438i) q^{25} +(-0.156203 + 0.294631i) q^{26} +(0.561187 + 0.827689i) q^{27} +(-3.49095 - 3.30680i) q^{28} +(7.13200 + 3.29962i) q^{29} +(-2.49590 - 1.15473i) q^{30} +(1.64829 + 1.56134i) q^{31} +(-0.561187 - 0.827689i) q^{32} +(-0.187111 + 0.352929i) q^{33} +(2.89985 + 5.46970i) q^{34} +(-7.42099 + 10.9451i) q^{35} +(0.976621 - 0.214970i) q^{36} +(-1.48398 - 5.34480i) q^{37} +(1.07950 - 2.70934i) q^{38} +(-0.316020 + 0.106480i) q^{39} +(-1.99654 + 1.89123i) q^{40} +(7.16970 + 1.57817i) q^{41} +(-0.260327 - 4.80144i) q^{42} +(1.70788 + 10.4176i) q^{43} +(0.258606 + 0.304454i) q^{44} +(-1.01791 - 2.55476i) q^{45} +(1.61867 - 1.23048i) q^{46} +(-2.53319 + 1.52417i) q^{47} +(0.161782 - 0.986827i) q^{48} +(-16.0271 - 1.74305i) q^{49} +(2.04033 + 1.55102i) q^{50} +(-1.65623 + 5.96520i) q^{51} +(-0.0180541 + 0.332988i) q^{52} +(-5.20304 + 0.565865i) q^{53} +(0.856857 + 0.515554i) q^{54} +(0.711186 - 0.837272i) q^{55} +(-4.55678 - 1.53536i) q^{56} +(2.64692 - 1.22460i) q^{57} +7.85830 q^{58} +(-5.19674 - 5.65632i) q^{59} -2.75008 q^{60} +(-6.26975 + 2.90069i) q^{61} +(2.15154 + 0.724937i) q^{62} +(3.11295 - 3.66485i) q^{63} +(-0.856857 - 0.515554i) q^{64} +(0.911712 - 0.0991546i) q^{65} +(-0.0216264 + 0.398875i) q^{66} +(3.04568 - 10.9695i) q^{67} +(4.92850 + 3.74655i) q^{68} +(2.02135 + 0.219835i) q^{69} +(-2.13936 + 13.0495i) q^{70} +(1.34623 - 0.810002i) q^{71} +(0.796093 - 0.605174i) q^{72} +(3.49566 + 8.77343i) q^{73} +(-3.59104 - 4.22770i) q^{74} +(0.414636 + 2.52917i) q^{75} +(-0.157895 - 2.91220i) q^{76} +(1.87590 + 0.412916i) q^{77} +(-0.242103 + 0.229332i) q^{78} +(10.7133 - 3.60972i) q^{79} +(-1.01791 + 2.55476i) q^{80} +(0.267528 + 0.963550i) q^{81} +(7.16970 - 1.57817i) q^{82} +(-7.76998 + 11.4599i) q^{83} +(-2.25234 - 4.24836i) q^{84} +(7.97482 - 15.0421i) q^{85} +(5.92427 + 8.73764i) q^{86} +(5.70509 + 5.40415i) q^{87} +(0.362541 + 0.167729i) q^{88} +(-10.8555 - 5.02227i) q^{89} +(-1.99654 - 1.89123i) q^{90} +(0.899876 + 1.32722i) q^{91} +(0.952400 - 1.79642i) q^{92} +(1.06347 + 2.00591i) q^{93} +(-1.65908 + 2.44696i) q^{94} +(-7.83303 + 1.72418i) q^{95} +(-0.267528 - 0.963550i) q^{96} +(1.82065 - 4.56949i) q^{97} +(-15.2777 + 5.14766i) q^{98} +(-0.290007 + 0.274709i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character Values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{25}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.907575 0.419889i 0.641753 0.296906i
\(3\) 0.947653 + 0.319302i 0.547128 + 0.184349i
\(4\) 0.647386 0.762162i 0.323693 0.381081i
\(5\) −2.35642 1.41781i −1.05383 0.634066i −0.120359 0.992730i \(-0.538404\pi\)
−0.933466 + 0.358665i \(0.883232\pi\)
\(6\) 0.994138 0.108119i 0.405855 0.0441394i
\(7\) 0.260327 4.80144i 0.0983942 1.81477i −0.367597 0.929985i \(-0.619819\pi\)
0.465991 0.884789i \(-0.345698\pi\)
\(8\) 0.267528 0.963550i 0.0945856 0.340666i
\(9\) 0.796093 + 0.605174i 0.265364 + 0.201725i
\(10\) −2.73396 0.297336i −0.864553 0.0940258i
\(11\) −0.0646256 + 0.394199i −0.0194853 + 0.118855i −0.994778 0.102061i \(-0.967456\pi\)
0.975293 + 0.220916i \(0.0709047\pi\)
\(12\) 0.856857 0.515554i 0.247353 0.148828i
\(13\) −0.265479 + 0.201812i −0.0736305 + 0.0559725i −0.641342 0.767255i \(-0.721622\pi\)
0.567711 + 0.823228i \(0.307829\pi\)
\(14\) −1.77981 4.46698i −0.475673 1.19385i
\(15\) −1.78036 2.09601i −0.459688 0.541186i
\(16\) −0.161782 0.986827i −0.0404455 0.246707i
\(17\) 0.335166 + 6.18178i 0.0812898 + 1.49930i 0.700260 + 0.713888i \(0.253067\pi\)
−0.618971 + 0.785414i \(0.712450\pi\)
\(18\) 0.976621 + 0.214970i 0.230192 + 0.0506690i
\(19\) 2.11735 2.00566i 0.485753 0.460130i −0.405198 0.914229i \(-0.632797\pi\)
0.890951 + 0.454099i \(0.150039\pi\)
\(20\) −2.60612 + 0.878104i −0.582746 + 0.196350i
\(21\) 1.77981 4.46698i 0.388386 0.974775i
\(22\) 0.106867 + 0.384901i 0.0227841 + 0.0820611i
\(23\) 1.98573 0.437093i 0.414054 0.0911401i −0.00305809 0.999995i \(-0.500973\pi\)
0.417112 + 0.908855i \(0.363042\pi\)
\(24\) 0.561187 0.827689i 0.114552 0.168951i
\(25\) 1.20050 + 2.26438i 0.240100 + 0.452876i
\(26\) −0.156203 + 0.294631i −0.0306340 + 0.0577819i
\(27\) 0.561187 + 0.827689i 0.108001 + 0.159289i
\(28\) −3.49095 3.30680i −0.659727 0.624926i
\(29\) 7.13200 + 3.29962i 1.32438 + 0.612723i 0.949330 0.314281i \(-0.101764\pi\)
0.375050 + 0.927005i \(0.377626\pi\)
\(30\) −2.49590 1.15473i −0.455688 0.210824i
\(31\) 1.64829 + 1.56134i 0.296042 + 0.280425i 0.821275 0.570533i \(-0.193263\pi\)
−0.525233 + 0.850958i \(0.676022\pi\)
\(32\) −0.561187 0.827689i −0.0992048 0.146316i
\(33\) −0.187111 + 0.352929i −0.0325718 + 0.0614370i
\(34\) 2.89985 + 5.46970i 0.497320 + 0.938046i
\(35\) −7.42099 + 10.9451i −1.25438 + 1.85007i
\(36\) 0.976621 0.214970i 0.162770 0.0358284i
\(37\) −1.48398 5.34480i −0.243964 0.878680i −0.979542 0.201240i \(-0.935503\pi\)
0.735578 0.677440i \(-0.236911\pi\)
\(38\) 1.07950 2.70934i 0.175118 0.439513i
\(39\) −0.316020 + 0.106480i −0.0506038 + 0.0170504i
\(40\) −1.99654 + 1.89123i −0.315681 + 0.299029i
\(41\) 7.16970 + 1.57817i 1.11972 + 0.246469i 0.736001 0.676981i \(-0.236712\pi\)
0.383719 + 0.923450i \(0.374643\pi\)
\(42\) −0.260327 4.80144i −0.0401693 0.740879i
\(43\) 1.70788 + 10.4176i 0.260449 + 1.58867i 0.715766 + 0.698340i \(0.246078\pi\)
−0.455317 + 0.890330i \(0.650474\pi\)
\(44\) 0.258606 + 0.304454i 0.0389863 + 0.0458982i
\(45\) −1.01791 2.55476i −0.151741 0.380841i
\(46\) 1.61867 1.23048i 0.238660 0.181425i
\(47\) −2.53319 + 1.52417i −0.369504 + 0.222323i −0.688179 0.725541i \(-0.741590\pi\)
0.318675 + 0.947864i \(0.396762\pi\)
\(48\) 0.161782 0.986827i 0.0233512 0.142436i
\(49\) −16.0271 1.74305i −2.28959 0.249008i
\(50\) 2.04033 + 1.55102i 0.288547 + 0.219348i
\(51\) −1.65623 + 5.96520i −0.231919 + 0.835295i
\(52\) −0.0180541 + 0.332988i −0.00250365 + 0.0461771i
\(53\) −5.20304 + 0.565865i −0.714693 + 0.0777275i −0.458239 0.888829i \(-0.651520\pi\)
−0.256454 + 0.966556i \(0.582554\pi\)
\(54\) 0.856857 + 0.515554i 0.116603 + 0.0701580i
\(55\) 0.711186 0.837272i 0.0958962 0.112898i
\(56\) −4.55678 1.53536i −0.608926 0.205171i
\(57\) 2.64692 1.22460i 0.350594 0.162202i
\(58\) 7.85830 1.03185
\(59\) −5.19674 5.65632i −0.676558 0.736390i
\(60\) −2.75008 −0.355034
\(61\) −6.26975 + 2.90069i −0.802759 + 0.371396i −0.777974 0.628297i \(-0.783752\pi\)
−0.0247852 + 0.999693i \(0.507890\pi\)
\(62\) 2.15154 + 0.724937i 0.273246 + 0.0920672i
\(63\) 3.11295 3.66485i 0.392195 0.461728i
\(64\) −0.856857 0.515554i −0.107107 0.0644442i
\(65\) 0.911712 0.0991546i 0.113084 0.0122986i
\(66\) −0.0216264 + 0.398875i −0.00266202 + 0.0490981i
\(67\) 3.04568 10.9695i 0.372089 1.34014i −0.506367 0.862318i \(-0.669012\pi\)
0.878456 0.477824i \(-0.158574\pi\)
\(68\) 4.92850 + 3.74655i 0.597668 + 0.454336i
\(69\) 2.02135 + 0.219835i 0.243342 + 0.0264650i
\(70\) −2.13936 + 13.0495i −0.255703 + 1.55972i
\(71\) 1.34623 0.810002i 0.159768 0.0961295i −0.433424 0.901190i \(-0.642695\pi\)
0.593193 + 0.805061i \(0.297867\pi\)
\(72\) 0.796093 0.605174i 0.0938205 0.0713205i
\(73\) 3.49566 + 8.77343i 0.409136 + 1.02685i 0.978771 + 0.204955i \(0.0657050\pi\)
−0.569636 + 0.821897i \(0.692916\pi\)
\(74\) −3.59104 4.22770i −0.417450 0.491461i
\(75\) 0.414636 + 2.52917i 0.0478781 + 0.292043i
\(76\) −0.157895 2.91220i −0.0181118 0.334052i
\(77\) 1.87590 + 0.412916i 0.213778 + 0.0470562i
\(78\) −0.242103 + 0.229332i −0.0274127 + 0.0259667i
\(79\) 10.7133 3.60972i 1.20534 0.406126i 0.356257 0.934388i \(-0.384053\pi\)
0.849081 + 0.528263i \(0.177156\pi\)
\(80\) −1.01791 + 2.55476i −0.113806 + 0.285631i
\(81\) 0.267528 + 0.963550i 0.0297254 + 0.107061i
\(82\) 7.16970 1.57817i 0.791761 0.174280i
\(83\) −7.76998 + 11.4599i −0.852866 + 1.25788i 0.111621 + 0.993751i \(0.464396\pi\)
−0.964486 + 0.264132i \(0.914914\pi\)
\(84\) −2.25234 4.24836i −0.245750 0.463534i
\(85\) 7.97482 15.0421i 0.864990 1.63154i
\(86\) 5.92427 + 8.73764i 0.638830 + 0.942204i
\(87\) 5.70509 + 5.40415i 0.611650 + 0.579386i
\(88\) 0.362541 + 0.167729i 0.0386470 + 0.0178800i
\(89\) −10.8555 5.02227i −1.15068 0.532360i −0.250600 0.968091i \(-0.580628\pi\)
−0.900077 + 0.435731i \(0.856490\pi\)
\(90\) −1.99654 1.89123i −0.210454 0.199353i
\(91\) 0.899876 + 1.32722i 0.0943326 + 0.139130i
\(92\) 0.952400 1.79642i 0.0992946 0.187289i
\(93\) 1.06347 + 2.00591i 0.110276 + 0.208003i
\(94\) −1.65908 + 2.44696i −0.171121 + 0.252385i
\(95\) −7.83303 + 1.72418i −0.803652 + 0.176897i
\(96\) −0.267528 0.963550i −0.0273045 0.0983419i
\(97\) 1.82065 4.56949i 0.184859 0.463961i −0.807116 0.590393i \(-0.798973\pi\)
0.991975 + 0.126431i \(0.0403523\pi\)
\(98\) −15.2777 + 5.14766i −1.54328 + 0.519992i
\(99\) −0.290007 + 0.274709i −0.0291468 + 0.0276093i
\(100\) 2.50301 + 0.550955i 0.250301 + 0.0550955i
\(101\) 0.0821777 + 1.51568i 0.00817698 + 0.150816i 0.999770 + 0.0214235i \(0.00681983\pi\)
−0.991594 + 0.129392i \(0.958697\pi\)
\(102\) 1.00157 + 6.10930i 0.0991702 + 0.604911i
\(103\) 8.48794 + 9.99277i 0.836341 + 0.984617i 0.999998 0.00190008i \(-0.000604815\pi\)
−0.163657 + 0.986517i \(0.552329\pi\)
\(104\) 0.123433 + 0.309792i 0.0121036 + 0.0303776i
\(105\) −10.5273 + 8.00267i −1.02736 + 0.780980i
\(106\) −4.48455 + 2.69827i −0.435578 + 0.262079i
\(107\) −1.79157 + 10.9281i −0.173198 + 1.05646i 0.746948 + 0.664883i \(0.231518\pi\)
−0.920145 + 0.391577i \(0.871930\pi\)
\(108\) 0.994138 + 0.108119i 0.0956610 + 0.0104038i
\(109\) −15.8559 12.0533i −1.51872 1.15450i −0.941070 0.338213i \(-0.890178\pi\)
−0.577648 0.816286i \(-0.696029\pi\)
\(110\) 0.293893 1.05851i 0.0280216 0.100925i
\(111\) 0.300308 5.53885i 0.0285040 0.525725i
\(112\) −4.78031 + 0.519890i −0.451697 + 0.0491250i
\(113\) 0.585441 + 0.352248i 0.0550736 + 0.0331367i 0.542824 0.839846i \(-0.317355\pi\)
−0.487751 + 0.872983i \(0.662183\pi\)
\(114\) 1.88809 2.22283i 0.176836 0.208187i
\(115\) −5.29894 1.78542i −0.494129 0.166491i
\(116\) 7.13200 3.29962i 0.662190 0.306362i
\(117\) −0.333477 −0.0308300
\(118\) −7.09146 2.95148i −0.652822 0.271706i
\(119\) 29.7687 2.72889
\(120\) −2.49590 + 1.15473i −0.227844 + 0.105412i
\(121\) 10.2730 + 3.46137i 0.933906 + 0.314670i
\(122\) −4.47230 + 5.26520i −0.404903 + 0.476688i
\(123\) 6.29048 + 3.78486i 0.567193 + 0.341269i
\(124\) 2.25708 0.245472i 0.202691 0.0220440i
\(125\) −0.362846 + 6.69230i −0.0324539 + 0.598577i
\(126\) 1.28641 4.63322i 0.114602 0.412760i
\(127\) 12.2689 + 9.32654i 1.08869 + 0.827597i 0.985938 0.167111i \(-0.0534437\pi\)
0.102747 + 0.994708i \(0.467237\pi\)
\(128\) −0.994138 0.108119i −0.0878702 0.00955646i
\(129\) −1.70788 + 10.4176i −0.150370 + 0.917219i
\(130\) 0.785813 0.472808i 0.0689204 0.0414680i
\(131\) 3.78175 2.87481i 0.330413 0.251174i −0.426793 0.904349i \(-0.640357\pi\)
0.757206 + 0.653176i \(0.226564\pi\)
\(132\) 0.147856 + 0.371090i 0.0128692 + 0.0322992i
\(133\) −9.07886 10.6885i −0.787237 0.926807i
\(134\) −1.84181 11.2345i −0.159108 0.970515i
\(135\) −0.148886 2.74605i −0.0128141 0.236342i
\(136\) 6.04612 + 1.33085i 0.518451 + 0.114120i
\(137\) 4.80753 4.55393i 0.410735 0.389069i −0.454244 0.890877i \(-0.650090\pi\)
0.864979 + 0.501809i \(0.167332\pi\)
\(138\) 1.92683 0.649226i 0.164023 0.0552658i
\(139\) 3.91329 9.82162i 0.331921 0.833059i −0.664401 0.747376i \(-0.731313\pi\)
0.996322 0.0856830i \(-0.0273072\pi\)
\(140\) 3.53772 + 12.7417i 0.298992 + 1.07687i
\(141\) −2.88726 + 0.635533i −0.243151 + 0.0535215i
\(142\) 0.881697 1.30041i 0.0739904 0.109128i
\(143\) −0.0623972 0.117694i −0.00521791 0.00984203i
\(144\) 0.468408 0.883512i 0.0390340 0.0736260i
\(145\) −12.1278 17.8871i −1.00716 1.48545i
\(146\) 6.85644 + 6.49476i 0.567443 + 0.537511i
\(147\) −14.6316 6.76929i −1.20679 0.558322i
\(148\) −5.03431 2.32912i −0.413818 0.191453i
\(149\) −13.6884 12.9664i −1.12140 1.06225i −0.997551 0.0699438i \(-0.977718\pi\)
−0.123848 0.992301i \(-0.539523\pi\)
\(150\) 1.43829 + 2.12131i 0.117435 + 0.173204i
\(151\) 7.95881 15.0119i 0.647679 1.22165i −0.314506 0.949255i \(-0.601839\pi\)
0.962185 0.272396i \(-0.0878162\pi\)
\(152\) −1.36610 2.57674i −0.110806 0.209001i
\(153\) −3.47423 + 5.12411i −0.280875 + 0.414259i
\(154\) 1.87590 0.412916i 0.151164 0.0332738i
\(155\) −1.67038 6.01615i −0.134168 0.483229i
\(156\) −0.123433 + 0.309792i −0.00988251 + 0.0248032i
\(157\) 1.16633 0.392983i 0.0930835 0.0313635i −0.272374 0.962191i \(-0.587809\pi\)
0.365458 + 0.930828i \(0.380912\pi\)
\(158\) 8.20742 7.77448i 0.652948 0.618505i
\(159\) −5.11136 1.12510i −0.405357 0.0892259i
\(160\) 0.148886 + 2.74605i 0.0117705 + 0.217094i
\(161\) −1.58174 9.64816i −0.124658 0.760382i
\(162\) 0.647386 + 0.762162i 0.0508635 + 0.0598811i
\(163\) 5.91193 + 14.8378i 0.463058 + 1.16219i 0.956324 + 0.292309i \(0.0944236\pi\)
−0.493266 + 0.869879i \(0.664197\pi\)
\(164\) 5.84439 4.44279i 0.456370 0.346924i
\(165\) 0.941300 0.566361i 0.0732801 0.0440912i
\(166\) −2.23997 + 13.6632i −0.173855 + 1.06047i
\(167\) −8.78954 0.955921i −0.680155 0.0739714i −0.238482 0.971147i \(-0.576650\pi\)
−0.441674 + 0.897176i \(0.645615\pi\)
\(168\) −3.82801 2.90998i −0.295337 0.224510i
\(169\) −3.44812 + 12.4190i −0.265240 + 0.955307i
\(170\) 0.921734 17.0004i 0.0706938 1.30387i
\(171\) 2.89938 0.315327i 0.221721 0.0241136i
\(172\) 9.04556 + 5.44253i 0.689718 + 0.414989i
\(173\) 9.04675 10.6507i 0.687812 0.809755i −0.301823 0.953364i \(-0.597595\pi\)
0.989634 + 0.143609i \(0.0458709\pi\)
\(174\) 7.44695 + 2.50917i 0.564552 + 0.190220i
\(175\) 11.1848 5.17465i 0.845493 0.391167i
\(176\) 0.399461 0.0301105
\(177\) −3.11863 7.01955i −0.234411 0.527622i
\(178\) −11.9610 −0.896511
\(179\) −7.69207 + 3.55873i −0.574932 + 0.265992i −0.685736 0.727850i \(-0.740520\pi\)
0.110804 + 0.993842i \(0.464657\pi\)
\(180\) −2.60612 0.878104i −0.194249 0.0654500i
\(181\) −5.94134 + 6.99469i −0.441616 + 0.519911i −0.937268 0.348611i \(-0.886654\pi\)
0.495651 + 0.868522i \(0.334929\pi\)
\(182\) 1.37399 + 0.826702i 0.101847 + 0.0612792i
\(183\) −6.86774 + 0.746912i −0.507678 + 0.0552133i
\(184\) 0.110079 2.03029i 0.00811512 0.149675i
\(185\) −4.08105 + 14.6986i −0.300045 + 1.08066i
\(186\) 1.80744 + 1.37398i 0.132528 + 0.100745i
\(187\) −2.45851 0.267379i −0.179784 0.0195527i
\(188\) −0.478288 + 2.91743i −0.0348827 + 0.212775i
\(189\) 4.12019 2.47904i 0.299700 0.180323i
\(190\) −6.38510 + 4.85383i −0.463224 + 0.352133i
\(191\) −7.62191 19.1295i −0.551502 1.38417i −0.895444 0.445174i \(-0.853142\pi\)
0.343942 0.938991i \(-0.388238\pi\)
\(192\) −0.647386 0.762162i −0.0467211 0.0550043i
\(193\) −1.20906 7.37494i −0.0870301 0.530860i −0.993975 0.109610i \(-0.965040\pi\)
0.906945 0.421250i \(-0.138408\pi\)
\(194\) −0.266301 4.91163i −0.0191193 0.352634i
\(195\) 0.895647 + 0.197147i 0.0641386 + 0.0141180i
\(196\) −11.7042 + 11.0868i −0.836016 + 0.791916i
\(197\) −12.7548 + 4.29758i −0.908739 + 0.306190i −0.734576 0.678527i \(-0.762619\pi\)
−0.174163 + 0.984717i \(0.555722\pi\)
\(198\) −0.147856 + 0.371090i −0.0105076 + 0.0263722i
\(199\) 4.46661 + 16.0873i 0.316629 + 1.14040i 0.935040 + 0.354541i \(0.115363\pi\)
−0.618411 + 0.785855i \(0.712223\pi\)
\(200\) 2.50301 0.550955i 0.176990 0.0389584i
\(201\) 6.38883 9.42282i 0.450634 0.664635i
\(202\) 0.710999 + 1.34109i 0.0500257 + 0.0943585i
\(203\) 17.6996 33.3849i 1.24227 2.34316i
\(204\) 3.47423 + 5.12411i 0.243245 + 0.358759i
\(205\) −14.6573 13.8841i −1.02371 0.969711i
\(206\) 11.8993 + 5.50520i 0.829064 + 0.383566i
\(207\) 1.84534 + 0.853747i 0.128260 + 0.0593395i
\(208\) 0.242103 + 0.229332i 0.0167868 + 0.0159013i
\(209\) 0.653793 + 0.964273i 0.0452238 + 0.0667002i
\(210\) −6.19411 + 11.6833i −0.427434 + 0.806226i
\(211\) −4.03464 7.61014i −0.277756 0.523903i 0.704908 0.709299i \(-0.250988\pi\)
−0.982664 + 0.185395i \(0.940643\pi\)
\(212\) −2.93710 + 4.33189i −0.201721 + 0.297516i
\(213\) 1.53440 0.337746i 0.105135 0.0231420i
\(214\) 2.96260 + 10.6703i 0.202519 + 0.729409i
\(215\) 10.7457 26.9698i 0.732853 1.83932i
\(216\) 0.947653 0.319302i 0.0644796 0.0217257i
\(217\) 7.92579 7.50771i 0.538038 0.509656i
\(218\) −19.4515 4.28159i −1.31742 0.289986i
\(219\) 0.511298 + 9.43034i 0.0345503 + 0.637243i
\(220\) −0.177725 1.08408i −0.0119822 0.0730885i
\(221\) −1.33653 1.57349i −0.0899051 0.105844i
\(222\) −2.05315 5.15302i −0.137799 0.345848i
\(223\) −14.2539 + 10.8356i −0.954514 + 0.725603i −0.961624 0.274372i \(-0.911530\pi\)
0.00710931 + 0.999975i \(0.497737\pi\)
\(224\) −4.12019 + 2.47904i −0.275292 + 0.165638i
\(225\) −0.414636 + 2.52917i −0.0276424 + 0.168611i
\(226\) 0.679237 + 0.0738715i 0.0451822 + 0.00491386i
\(227\) 3.89948 + 2.96430i 0.258817 + 0.196748i 0.726534 0.687131i \(-0.241130\pi\)
−0.467716 + 0.883879i \(0.654923\pi\)
\(228\) 0.780240 2.81017i 0.0516727 0.186108i
\(229\) −0.845160 + 15.5881i −0.0558497 + 1.03009i 0.827527 + 0.561425i \(0.189747\pi\)
−0.883377 + 0.468663i \(0.844736\pi\)
\(230\) −5.55887 + 0.604563i −0.366541 + 0.0398637i
\(231\) 1.64586 + 0.990279i 0.108289 + 0.0651556i
\(232\) 5.08736 5.98930i 0.334001 0.393217i
\(233\) −14.5084 4.88846i −0.950479 0.320254i −0.198991 0.980001i \(-0.563767\pi\)
−0.751487 + 0.659748i \(0.770663\pi\)
\(234\) −0.302655 + 0.140023i −0.0197852 + 0.00915361i
\(235\) 8.13026 0.530360
\(236\) −7.67533 + 0.298934i −0.499621 + 0.0194590i
\(237\) 11.3051 0.734343
\(238\) 27.0173 12.4996i 1.75127 0.810226i
\(239\) 22.0597 + 7.43277i 1.42692 + 0.480786i 0.923615 0.383321i \(-0.125220\pi\)
0.503307 + 0.864108i \(0.332116\pi\)
\(240\) −1.78036 + 2.09601i −0.114922 + 0.135297i
\(241\) −13.7618 8.28021i −0.886477 0.533376i −0.00202038 0.999998i \(-0.500643\pi\)
−0.884457 + 0.466622i \(0.845471\pi\)
\(242\) 10.7769 1.17206i 0.692764 0.0753427i
\(243\) −0.0541389 + 0.998533i −0.00347301 + 0.0640559i
\(244\) −1.84815 + 6.65643i −0.118316 + 0.426134i
\(245\) 35.2954 + 26.8308i 2.25494 + 1.71416i
\(246\) 7.29830 + 0.793738i 0.465323 + 0.0506069i
\(247\) −0.157346 + 0.959766i −0.0100117 + 0.0610684i
\(248\) 1.94540 1.17051i 0.123533 0.0743272i
\(249\) −11.0224 + 8.37901i −0.698516 + 0.530998i
\(250\) 2.48071 + 6.22612i 0.156894 + 0.393774i
\(251\) 12.0667 + 14.2061i 0.761646 + 0.896679i 0.997169 0.0751898i \(-0.0239563\pi\)
−0.235523 + 0.971869i \(0.575680\pi\)
\(252\) −0.777928 4.74515i −0.0490048 0.298916i
\(253\) 0.0439722 + 0.811020i 0.00276451 + 0.0509884i
\(254\) 15.0510 + 3.31298i 0.944385 + 0.207875i
\(255\) 12.3603 11.7083i 0.774034 0.733204i
\(256\) −0.947653 + 0.319302i −0.0592283 + 0.0199563i
\(257\) 11.3385 28.4576i 0.707279 1.77514i 0.0793755 0.996845i \(-0.474707\pi\)
0.627903 0.778291i \(-0.283913\pi\)
\(258\) 2.82421 + 10.1719i 0.175828 + 0.633274i
\(259\) −26.0491 + 5.73383i −1.61861 + 0.356283i
\(260\) 0.514658 0.759064i 0.0319177 0.0470751i
\(261\) 3.68090 + 6.94291i 0.227842 + 0.429755i
\(262\) 2.22512 4.19703i 0.137469 0.259293i
\(263\) −5.42275 7.99796i −0.334381 0.493176i 0.622913 0.782291i \(-0.285949\pi\)
−0.957294 + 0.289116i \(0.906639\pi\)
\(264\) 0.290007 + 0.274709i 0.0178487 + 0.0169072i
\(265\) 13.0629 + 6.04353i 0.802446 + 0.371251i
\(266\) −12.7277 5.88847i −0.780386 0.361045i
\(267\) −8.68360 8.22554i −0.531428 0.503395i
\(268\) −6.38883 9.42282i −0.390260 0.575591i
\(269\) −7.74730 + 14.6130i −0.472361 + 0.890968i 0.526799 + 0.849990i \(0.323392\pi\)
−0.999160 + 0.0409778i \(0.986953\pi\)
\(270\) −1.28816 2.42973i −0.0783949 0.147869i
\(271\) −3.48231 + 5.13603i −0.211536 + 0.311992i −0.918623 0.395134i \(-0.870698\pi\)
0.707088 + 0.707126i \(0.250008\pi\)
\(272\) 6.04612 1.33085i 0.366600 0.0806947i
\(273\) 0.428988 + 1.54507i 0.0259635 + 0.0935121i
\(274\) 2.45105 6.15167i 0.148073 0.371636i
\(275\) −0.970200 + 0.326898i −0.0585052 + 0.0197127i
\(276\) 1.47614 1.39828i 0.0888534 0.0841664i
\(277\) 4.37530 + 0.963076i 0.262886 + 0.0578656i 0.344458 0.938802i \(-0.388063\pi\)
−0.0815714 + 0.996667i \(0.525994\pi\)
\(278\) −0.572384 10.5570i −0.0343293 0.633167i
\(279\) 0.367307 + 2.24048i 0.0219901 + 0.134134i
\(280\) 8.56087 + 10.0786i 0.511610 + 0.602313i
\(281\) −3.13822 7.87635i −0.187211 0.469864i 0.805174 0.593038i \(-0.202072\pi\)
−0.992385 + 0.123175i \(0.960692\pi\)
\(282\) −2.35355 + 1.78912i −0.140152 + 0.106541i
\(283\) −11.9873 + 7.21251i −0.712571 + 0.428739i −0.825158 0.564902i \(-0.808914\pi\)
0.112587 + 0.993642i \(0.464086\pi\)
\(284\) 0.254180 1.55043i 0.0150828 0.0920012i
\(285\) −7.97352 0.867173i −0.472311 0.0513669i
\(286\) −0.106048 0.0806159i −0.00627077 0.00476692i
\(287\) 9.44396 34.0141i 0.557459 2.00779i
\(288\) 0.0541389 0.998533i 0.00319017 0.0588391i
\(289\) −21.2017 + 2.30583i −1.24716 + 0.135637i
\(290\) −18.5175 11.1416i −1.08739 0.654258i
\(291\) 3.18439 3.74896i 0.186672 0.219768i
\(292\) 8.94982 + 3.01554i 0.523748 + 0.176471i
\(293\) −26.8564 + 12.4251i −1.56897 + 0.725882i −0.995625 0.0934341i \(-0.970216\pi\)
−0.573342 + 0.819316i \(0.694354\pi\)
\(294\) −16.1216 −0.940232
\(295\) 4.22612 + 20.6967i 0.246054 + 1.20501i
\(296\) −5.54699 −0.322412
\(297\) −0.362541 + 0.167729i −0.0210368 + 0.00973264i
\(298\) −17.8677 6.02033i −1.03505 0.348748i
\(299\) −0.438959 + 0.516782i −0.0253857 + 0.0298863i
\(300\) 2.19607 + 1.32133i 0.126790 + 0.0762870i
\(301\) 50.4641 5.48831i 2.90870 0.316341i
\(302\) 0.919884 16.9663i 0.0529334 0.976298i
\(303\) −0.406082 + 1.46258i −0.0233288 + 0.0840228i
\(304\) −2.32179 1.76498i −0.133164 0.101228i
\(305\) 18.8868 + 2.05407i 1.08146 + 0.117615i
\(306\) −1.00157 + 6.10930i −0.0572559 + 0.349246i
\(307\) −16.8554 + 10.1415i −0.961987 + 0.578809i −0.907656 0.419714i \(-0.862130\pi\)
−0.0543311 + 0.998523i \(0.517303\pi\)
\(308\) 1.52914 1.16242i 0.0871308 0.0662351i
\(309\) 4.85291 + 12.1799i 0.276073 + 0.692890i
\(310\) −4.04211 4.75874i −0.229576 0.270278i
\(311\) 0.753125 + 4.59386i 0.0427058 + 0.260494i 0.999546 0.0301198i \(-0.00958889\pi\)
−0.956841 + 0.290614i \(0.906141\pi\)
\(312\) 0.0180541 + 0.332988i 0.00102211 + 0.0188517i
\(313\) −26.2975 5.78852i −1.48642 0.327187i −0.603750 0.797174i \(-0.706328\pi\)
−0.882673 + 0.469987i \(0.844259\pi\)
\(314\) 0.893526 0.846393i 0.0504246 0.0477647i
\(315\) −12.5315 + 4.22236i −0.706071 + 0.237903i
\(316\) 4.18443 10.5021i 0.235393 0.590791i
\(317\) 3.21279 + 11.5714i 0.180448 + 0.649915i 0.997324 + 0.0731024i \(0.0232900\pi\)
−0.816876 + 0.576813i \(0.804296\pi\)
\(318\) −5.11136 + 1.12510i −0.286631 + 0.0630922i
\(319\) −1.76161 + 2.59819i −0.0986314 + 0.145471i
\(320\) 1.28816 + 2.42973i 0.0720103 + 0.135826i
\(321\) −5.18715 + 9.78400i −0.289518 + 0.546089i
\(322\) −5.48670 8.09228i −0.305762 0.450965i
\(323\) 13.1082 + 12.4168i 0.729360 + 0.690887i
\(324\) 0.907575 + 0.419889i 0.0504209 + 0.0233272i
\(325\) −0.775686 0.358870i −0.0430273 0.0199066i
\(326\) 11.5958 + 10.9841i 0.642230 + 0.608352i
\(327\) −11.1772 16.4852i −0.618102 0.911632i
\(328\) 3.43875 6.48616i 0.189873 0.358138i
\(329\) 6.65876 + 12.5598i 0.367109 + 0.692441i
\(330\) 0.616492 0.909257i 0.0339367 0.0500529i
\(331\) 10.6002 2.33327i 0.582638 0.128248i 0.0861353 0.996283i \(-0.472548\pi\)
0.496503 + 0.868035i \(0.334617\pi\)
\(332\) 3.70409 + 13.3409i 0.203289 + 0.732179i
\(333\) 2.05315 5.15302i 0.112512 0.282384i
\(334\) −8.37855 + 2.82306i −0.458454 + 0.154471i
\(335\) −22.7297 + 21.5307i −1.24185 + 1.17635i
\(336\) −4.69607 1.03368i −0.256192 0.0563921i
\(337\) 0.482801 + 8.90474i 0.0262998 + 0.485072i 0.981781 + 0.190018i \(0.0608548\pi\)
−0.955481 + 0.295054i \(0.904662\pi\)
\(338\) 2.08517 + 12.7190i 0.113419 + 0.691823i
\(339\) 0.442321 + 0.520741i 0.0240236 + 0.0282828i
\(340\) −6.30173 15.8162i −0.341759 0.857751i
\(341\) −0.722001 + 0.548851i −0.0390985 + 0.0297219i
\(342\) 2.49900 1.50360i 0.135131 0.0813054i
\(343\) −7.09596 + 43.2834i −0.383146 + 2.33709i
\(344\) 10.4948 + 1.14138i 0.565841 + 0.0615389i
\(345\) −4.45147 3.38392i −0.239659 0.182184i
\(346\) 3.73851 13.4649i 0.200984 0.723878i
\(347\) −1.46879 + 27.0903i −0.0788490 + 1.45428i 0.644925 + 0.764246i \(0.276889\pi\)
−0.723774 + 0.690038i \(0.757594\pi\)
\(348\) 7.81224 0.849632i 0.418780 0.0455451i
\(349\) −0.759268 0.456836i −0.0406427 0.0244539i 0.495088 0.868843i \(-0.335136\pi\)
−0.535730 + 0.844389i \(0.679964\pi\)
\(350\) 7.97829 9.39277i 0.426458 0.502065i
\(351\) −0.316020 0.106480i −0.0168679 0.00568347i
\(352\) 0.362541 0.167729i 0.0193235 0.00894000i
\(353\) 8.77352 0.466967 0.233484 0.972361i \(-0.424987\pi\)
0.233484 + 0.972361i \(0.424987\pi\)
\(354\) −5.77783 5.06129i −0.307088 0.269005i
\(355\) −4.32073 −0.229320
\(356\) −10.8555 + 5.02227i −0.575339 + 0.266180i
\(357\) 28.2104 + 9.50519i 1.49305 + 0.503068i
\(358\) −5.48686 + 6.45963i −0.289990 + 0.341402i
\(359\) 18.5398 + 11.1551i 0.978496 + 0.588741i 0.912499 0.409078i \(-0.134150\pi\)
0.0659966 + 0.997820i \(0.478977\pi\)
\(360\) −2.73396 + 0.297336i −0.144092 + 0.0156710i
\(361\) −0.568142 + 10.4788i −0.0299022 + 0.551514i
\(362\) −2.45522 + 8.84291i −0.129044 + 0.464773i
\(363\) 8.62999 + 6.56035i 0.452957 + 0.344329i
\(364\) 1.59412 + 0.173371i 0.0835547 + 0.00908712i
\(365\) 4.20185 25.6301i 0.219935 1.34154i
\(366\) −5.91937 + 3.56157i −0.309411 + 0.186166i
\(367\) −18.1555 + 13.8015i −0.947711 + 0.720431i −0.960148 0.279491i \(-0.909834\pi\)
0.0124369 + 0.999923i \(0.496041\pi\)
\(368\) −0.752590 1.88886i −0.0392315 0.0984636i
\(369\) 4.75268 + 5.59529i 0.247415 + 0.291279i
\(370\) 2.46793 + 15.0537i 0.128302 + 0.782605i
\(371\) 1.36248 + 25.1294i 0.0707363 + 1.30465i
\(372\) 2.21730 + 0.488066i 0.114962 + 0.0253050i
\(373\) 3.64419 3.45196i 0.188689 0.178736i −0.587523 0.809207i \(-0.699897\pi\)
0.776213 + 0.630471i \(0.217138\pi\)
\(374\) −2.34355 + 0.789635i −0.121182 + 0.0408310i
\(375\) −2.48071 + 6.22612i −0.128103 + 0.321515i
\(376\) 0.790914 + 2.84861i 0.0407883 + 0.146906i
\(377\) −2.55930 + 0.563344i −0.131810 + 0.0290137i
\(378\) 2.69846 3.97994i 0.138794 0.204706i
\(379\) −4.36279 8.22909i −0.224101 0.422700i 0.745810 0.666159i \(-0.232063\pi\)
−0.969911 + 0.243459i \(0.921718\pi\)
\(380\) −3.75689 + 7.08625i −0.192724 + 0.363517i
\(381\) 8.64864 + 12.7558i 0.443083 + 0.653499i
\(382\) −14.9497 14.1611i −0.764895 0.724547i
\(383\) −20.8571 9.64951i −1.06575 0.493067i −0.192979 0.981203i \(-0.561815\pi\)
−0.872768 + 0.488136i \(0.837677\pi\)
\(384\) −0.907575 0.419889i −0.0463145 0.0214274i
\(385\) −3.83497 3.63268i −0.195448 0.185139i
\(386\) −4.19397 6.18565i −0.213468 0.314841i
\(387\) −4.94484 + 9.32695i −0.251360 + 0.474115i
\(388\) −2.30403 4.34586i −0.116969 0.220627i
\(389\) 16.3485 24.1123i 0.828903 1.22254i −0.143597 0.989636i \(-0.545867\pi\)
0.972500 0.232904i \(-0.0748228\pi\)
\(390\) 0.895647 0.197147i 0.0453528 0.00998292i
\(391\) 3.36756 + 12.1289i 0.170305 + 0.613383i
\(392\) −5.96723 + 14.9766i −0.301390 + 0.756433i
\(393\) 4.50172 1.51681i 0.227082 0.0765128i
\(394\) −9.77140 + 9.25596i −0.492276 + 0.466309i
\(395\) −30.3629 6.68339i −1.52773 0.336278i
\(396\) 0.0216264 + 0.398875i 0.00108677 + 0.0200442i
\(397\) 3.36562 + 20.5294i 0.168916 + 1.03034i 0.926139 + 0.377183i \(0.123107\pi\)
−0.757223 + 0.653156i \(0.773444\pi\)
\(398\) 10.8087 + 12.7249i 0.541789 + 0.637843i
\(399\) −5.19077 13.0278i −0.259863 0.652208i
\(400\) 2.04033 1.55102i 0.102017 0.0775511i
\(401\) 10.6515 6.40878i 0.531909 0.320039i −0.224137 0.974558i \(-0.571956\pi\)
0.756046 + 0.654519i \(0.227129\pi\)
\(402\) 1.84181 11.2345i 0.0918610 0.560327i
\(403\) −0.752683 0.0818592i −0.0374938 0.00407770i
\(404\) 1.20839 + 0.918596i 0.0601198 + 0.0457019i
\(405\) 0.735724 2.64984i 0.0365584 0.131672i
\(406\) 2.04573 37.7312i 0.101528 1.87257i
\(407\) 2.20282 0.239571i 0.109190 0.0118751i
\(408\) 5.30468 + 3.19172i 0.262621 + 0.158014i
\(409\) 10.1944 12.0017i 0.504079 0.593448i −0.449990 0.893033i \(-0.648573\pi\)
0.954069 + 0.299586i \(0.0968484\pi\)
\(410\) −19.1324 6.44646i −0.944883 0.318368i
\(411\) 6.00995 2.78050i 0.296449 0.137152i
\(412\) 13.1111 0.645937
\(413\) −28.5113 + 23.4793i −1.40295 + 1.15534i
\(414\) 2.03327 0.0999297
\(415\) 34.5573 15.9879i 1.69635 0.784816i
\(416\) 0.316020 + 0.106480i 0.0154942 + 0.00522060i
\(417\) 6.84450 8.05797i 0.335177 0.394600i
\(418\) 0.998255 + 0.600630i 0.0488262 + 0.0293778i
\(419\) −21.1582 + 2.30110i −1.03365 + 0.112416i −0.609184 0.793029i \(-0.708503\pi\)
−0.424464 + 0.905445i \(0.639537\pi\)
\(420\) −0.715919 + 13.2043i −0.0349333 + 0.644306i
\(421\) 8.02861 28.9164i 0.391291 1.40930i −0.461543 0.887118i \(-0.652704\pi\)
0.852833 0.522183i \(-0.174882\pi\)
\(422\) −6.85715 5.21267i −0.333801 0.253749i
\(423\) −2.93904 0.319640i −0.142901 0.0155414i
\(424\) −0.846722 + 5.16478i −0.0411205 + 0.250824i
\(425\) −13.5955 + 8.18017i −0.659481 + 0.396796i
\(426\) 1.25076 0.950807i 0.0605998 0.0460667i
\(427\) 12.2953 + 30.8589i 0.595013 + 1.49337i
\(428\) 7.16914 + 8.44017i 0.346534 + 0.407971i
\(429\) −0.0215511 0.131456i −0.00104050 0.00634676i
\(430\) −1.57174 28.9891i −0.0757962 1.39798i
\(431\) 2.25954 + 0.497363i 0.108838 + 0.0239571i 0.269056 0.963125i \(-0.413288\pi\)
−0.160217 + 0.987082i \(0.551219\pi\)
\(432\) 0.725995 0.687699i 0.0349295 0.0330870i
\(433\) 37.9115 12.7739i 1.82191 0.613874i 0.822960 0.568099i \(-0.192321\pi\)
0.998952 0.0457745i \(-0.0145756\pi\)
\(434\) 4.04085 10.1418i 0.193967 0.486820i
\(435\) −5.78154 20.8232i −0.277204 0.998398i
\(436\) −19.4515 + 4.28159i −0.931556 + 0.205051i
\(437\) 3.32783 4.90818i 0.159192 0.234790i
\(438\) 4.42374 + 8.34406i 0.211374 + 0.398694i
\(439\) 8.46017 15.9576i 0.403782 0.761613i −0.595342 0.803473i \(-0.702983\pi\)
0.999124 + 0.0418593i \(0.0133281\pi\)
\(440\) −0.616492 0.909257i −0.0293901 0.0433471i
\(441\) −11.7042 11.0868i −0.557344 0.527944i
\(442\) −1.87370 0.866865i −0.0891227 0.0412326i
\(443\) −25.6048 11.8461i −1.21652 0.562823i −0.296629 0.954993i \(-0.595862\pi\)
−0.919893 + 0.392170i \(0.871725\pi\)
\(444\) −4.02709 3.81466i −0.191117 0.181036i
\(445\) 18.4594 + 27.2256i 0.875061 + 1.29062i
\(446\) −8.38679 + 15.8192i −0.397126 + 0.749059i
\(447\) −8.83169 16.6583i −0.417725 0.787912i
\(448\) −2.69846 + 3.97994i −0.127490 + 0.188034i
\(449\) −17.5166 + 3.85569i −0.826658 + 0.181961i −0.608098 0.793862i \(-0.708067\pi\)
−0.218560 + 0.975823i \(0.570136\pi\)
\(450\) 0.685657 + 2.46951i 0.0323222 + 0.116414i
\(451\) −1.08546 + 2.72430i −0.0511123 + 0.128282i
\(452\) 0.647476 0.218160i 0.0304547 0.0102614i
\(453\) 12.3355 11.6848i 0.579573 0.549001i
\(454\) 4.78375 + 1.05298i 0.224512 + 0.0494189i
\(455\) −0.238742 4.40334i −0.0111924 0.206432i
\(456\) −0.471833 2.87806i −0.0220956 0.134777i
\(457\) 20.9713 + 24.6893i 0.980997 + 1.15492i 0.987923 + 0.154942i \(0.0495192\pi\)
−0.00692690 + 0.999976i \(0.502205\pi\)
\(458\) 5.77821 + 14.5022i 0.269998 + 0.677644i
\(459\) −4.92850 + 3.74655i −0.230043 + 0.174874i
\(460\) −4.79124 + 2.88280i −0.223393 + 0.134411i
\(461\) 3.83344 23.3829i 0.178541 1.08905i −0.733723 0.679449i \(-0.762219\pi\)
0.912264 0.409603i \(-0.134333\pi\)
\(462\) 1.90955 + 0.207676i 0.0888401 + 0.00966194i
\(463\) −24.8242 18.8709i −1.15368 0.877004i −0.159764 0.987155i \(-0.551073\pi\)
−0.993915 + 0.110151i \(0.964866\pi\)
\(464\) 2.10232 7.57187i 0.0975977 0.351515i
\(465\) 0.338029 6.23458i 0.0156757 0.289122i
\(466\) −15.2201 + 1.65529i −0.705058 + 0.0766796i
\(467\) −15.7726 9.49005i −0.729868 0.439147i 0.101524 0.994833i \(-0.467628\pi\)
−0.831392 + 0.555686i \(0.812456\pi\)
\(468\) −0.215888 + 0.254163i −0.00997945 + 0.0117487i
\(469\) −51.8767 17.4793i −2.39544 0.807119i
\(470\) 7.37883 3.41381i 0.340360 0.157467i
\(471\) 1.23076 0.0567104
\(472\) −6.84042 + 3.49409i −0.314856 + 0.160829i
\(473\) −4.21698 −0.193897
\(474\) 10.2602 4.74687i 0.471266 0.218031i
\(475\) 7.08346 + 2.38669i 0.325011 + 0.109509i
\(476\) 19.2719 22.6886i 0.883324 1.03993i
\(477\) −4.48455 2.69827i −0.205334 0.123545i
\(478\) 23.1418 2.51682i 1.05848 0.115117i
\(479\) −0.218574 + 4.03135i −0.00998688 + 0.184197i 0.989284 + 0.146007i \(0.0466421\pi\)
−0.999270 + 0.0381905i \(0.987841\pi\)
\(480\) −0.735724 + 2.64984i −0.0335811 + 0.120948i
\(481\) 1.47261 + 1.11945i 0.0671451 + 0.0510424i
\(482\) −15.9667 1.73648i −0.727262 0.0790945i
\(483\) 1.58174 9.64816i 0.0719715 0.439007i
\(484\) 9.28870 5.58883i 0.422214 0.254038i
\(485\) −10.7689 + 8.18632i −0.488991 + 0.371721i
\(486\) 0.370138 + 0.928977i 0.0167898 + 0.0421392i
\(487\) 18.7813 + 22.1111i 0.851064 + 1.00195i 0.999914 + 0.0130900i \(0.00416681\pi\)
−0.148851 + 0.988860i \(0.547557\pi\)
\(488\) 1.11763 + 6.81723i 0.0505927 + 0.308602i
\(489\) 0.864718 + 15.9488i 0.0391039 + 0.721229i
\(490\) 43.2992 + 9.53087i 1.95606 + 0.430561i
\(491\) 22.9470 21.7366i 1.03559 0.980958i 0.0357545 0.999361i \(-0.488617\pi\)
0.999831 + 0.0184022i \(0.00585793\pi\)
\(492\) 6.95704 2.34410i 0.313648 0.105680i
\(493\) −18.0071 + 45.1944i −0.810999 + 2.03545i
\(494\) 0.260192 + 0.937127i 0.0117066 + 0.0421634i
\(495\) 1.07287 0.236156i 0.0482217 0.0106144i
\(496\) 1.27411 1.87917i 0.0572093 0.0843774i
\(497\) −3.53872 6.67473i −0.158733 0.299402i
\(498\) −6.48540 + 12.2328i −0.290618 + 0.548163i
\(499\) −1.27107 1.87468i −0.0569008 0.0839224i 0.798174 0.602427i \(-0.205799\pi\)
−0.855075 + 0.518504i \(0.826489\pi\)
\(500\) 4.86571 + 4.60905i 0.217601 + 0.206123i
\(501\) −8.02421 3.71240i −0.358495 0.165858i
\(502\) 16.9164 + 7.82638i 0.755018 + 0.349309i
\(503\) −1.55403 1.47205i −0.0692906 0.0656355i 0.652271 0.757986i \(-0.273817\pi\)
−0.721561 + 0.692351i \(0.756575\pi\)
\(504\) −2.69846 3.97994i −0.120199 0.177281i
\(505\) 1.95530 3.68809i 0.0870099 0.164118i
\(506\) 0.380447 + 0.717598i 0.0169129 + 0.0319011i
\(507\) −7.23302 + 10.6679i −0.321230 + 0.473779i
\(508\) 15.0510 3.31298i 0.667781 0.146990i
\(509\) 6.15717 + 22.1761i 0.272912 + 0.982939i 0.965242 + 0.261358i \(0.0841705\pi\)
−0.692330 + 0.721581i \(0.743416\pi\)
\(510\) 6.30173 15.8162i 0.279045 0.700351i
\(511\) 43.0351 14.5002i 1.90376 0.641452i
\(512\) −0.725995 + 0.687699i −0.0320848 + 0.0303923i
\(513\) 2.84829 + 0.626956i 0.125755 + 0.0276808i
\(514\) −1.65845 30.5883i −0.0731512 1.34919i
\(515\) −5.83330 35.5815i −0.257046 1.56791i
\(516\) 6.83425 + 8.04590i 0.300861 + 0.354201i
\(517\) −0.437117 1.09708i −0.0192244 0.0482496i
\(518\) −21.2339 + 16.1416i −0.932965 + 0.709222i
\(519\) 11.9740 7.20449i 0.525598 0.316242i
\(520\) 0.148368 0.905007i 0.00650638 0.0396872i
\(521\) 14.2403 + 1.54873i 0.623880 + 0.0678511i 0.414599 0.910004i \(-0.363922\pi\)
0.209282 + 0.977855i \(0.432887\pi\)
\(522\) 6.25594 + 4.75564i 0.273815 + 0.208149i
\(523\) 8.45015 30.4347i 0.369499 1.33082i −0.512144 0.858900i \(-0.671148\pi\)
0.881643 0.471917i \(-0.156438\pi\)
\(524\) 0.257181 4.74342i 0.0112350 0.207217i
\(525\) 12.2516 1.33244i 0.534704 0.0581526i
\(526\) −8.27981 4.98180i −0.361017 0.217217i
\(527\) −9.09943 + 10.7127i −0.396377 + 0.466651i
\(528\) 0.378550 + 0.127548i 0.0164743 + 0.00555084i
\(529\) −17.1222 + 7.92155i −0.744442 + 0.344415i
\(530\) 14.3932 0.625199
\(531\) −0.714030 7.64789i −0.0309863 0.331890i
\(532\) −14.0239 −0.608012
\(533\) −2.22190 + 1.02796i −0.0962410 + 0.0445258i
\(534\) −11.3348 3.81915i −0.490506 0.165271i
\(535\) 19.7157 23.2111i 0.852385 1.00350i
\(536\) −9.75489 5.86932i −0.421347 0.253516i
\(537\) −8.42572 + 0.916352i −0.363597 + 0.0395435i
\(538\) −0.895437 + 16.5154i −0.0386050 + 0.712028i
\(539\) 1.72287 6.20522i 0.0742093 0.267278i
\(540\) −2.18932 1.66428i −0.0942133 0.0716191i
\(541\) −0.950595 0.103383i −0.0408693 0.00444480i 0.0876615 0.996150i \(-0.472061\pi\)
−0.128531 + 0.991706i \(0.541026\pi\)
\(542\) −1.00390 + 6.12352i −0.0431212 + 0.263028i
\(543\) −7.86375 + 4.73146i −0.337466 + 0.203046i
\(544\) 4.92850 3.74655i 0.211308 0.160632i
\(545\) 20.2738 + 50.8834i 0.868435 + 2.17961i
\(546\) 1.03810 + 1.22214i 0.0444265 + 0.0523029i
\(547\) −1.79234 10.9328i −0.0766350 0.467453i −0.997066 0.0765476i \(-0.975610\pi\)
0.920431 0.390905i \(-0.127838\pi\)
\(548\) −0.358507 6.61227i −0.0153147 0.282462i
\(549\) −6.74673 1.48507i −0.287943 0.0633811i
\(550\) −0.743268 + 0.704061i −0.0316931 + 0.0300213i
\(551\) 21.7188 7.31793i 0.925254 0.311754i
\(552\) 0.752590 1.88886i 0.0320324 0.0803952i
\(553\) −14.5429 52.3789i −0.618428 2.22738i
\(554\) 4.37530 0.963076i 0.185889 0.0409172i
\(555\) −8.56072 + 12.6261i −0.363382 + 0.535949i
\(556\) −4.95225 9.34094i −0.210022 0.396144i
\(557\) 6.09472 11.4959i 0.258242 0.487095i −0.720160 0.693808i \(-0.755932\pi\)
0.978402 + 0.206713i \(0.0662765\pi\)
\(558\) 1.27411 + 1.87917i 0.0539374 + 0.0795517i
\(559\) −2.55580 2.42098i −0.108099 0.102397i
\(560\) 12.0015 + 5.55250i 0.507158 + 0.234636i
\(561\) −2.24444 1.03839i −0.0947603 0.0438408i
\(562\) −6.15537 5.83068i −0.259649 0.245952i
\(563\) 6.55876 + 9.67345i 0.276419 + 0.407687i 0.940404 0.340058i \(-0.110447\pi\)
−0.663986 + 0.747745i \(0.731136\pi\)
\(564\) −1.38479 + 2.61199i −0.0583102 + 0.109985i
\(565\) −0.880125 1.66009i −0.0370271 0.0698406i
\(566\) −7.85092 + 11.5792i −0.329999 + 0.486712i
\(567\) 4.69607 1.03368i 0.197217 0.0434107i
\(568\) −0.420322 1.51386i −0.0176363 0.0635202i
\(569\) 8.35757 20.9759i 0.350367 0.879356i −0.643157 0.765735i \(-0.722376\pi\)
0.993524 0.113621i \(-0.0362451\pi\)
\(570\) −7.60069 + 2.56097i −0.318358 + 0.107267i
\(571\) 22.6805 21.4841i 0.949148 0.899081i −0.0458524 0.998948i \(-0.514600\pi\)
0.995001 + 0.0998671i \(0.0318418\pi\)
\(572\) −0.130097 0.0286364i −0.00543961 0.00119735i
\(573\) −1.11483 20.5619i −0.0465728 0.858984i
\(574\) −5.71103 34.8358i −0.238374 1.45402i
\(575\) 3.37361 + 3.97173i 0.140689 + 0.165632i
\(576\) −0.370138 0.928977i −0.0154224 0.0387074i
\(577\) 27.5572 20.9484i 1.14722 0.872094i 0.153968 0.988076i \(-0.450795\pi\)
0.993251 + 0.115982i \(0.0370016\pi\)
\(578\) −18.2740 + 10.9951i −0.760097 + 0.457335i
\(579\) 1.20906 7.37494i 0.0502468 0.306492i
\(580\) −21.4843 2.33655i −0.892086 0.0970202i
\(581\) 53.0011 + 40.2904i 2.19886 + 1.67153i
\(582\) 1.31593 4.73955i 0.0545470 0.196461i
\(583\) 0.113186 2.08760i 0.00468771 0.0864596i
\(584\) 9.38883 1.02110i 0.388512 0.0422533i
\(585\) 0.785813 + 0.472808i 0.0324894 + 0.0195482i
\(586\) −19.1570 + 22.5534i −0.791370 + 0.931673i
\(587\) −30.7471 10.3599i −1.26907 0.427599i −0.397378 0.917655i \(-0.630080\pi\)
−0.871691 + 0.490056i \(0.836976\pi\)
\(588\) −14.6316 + 6.76929i −0.603396 + 0.279161i
\(589\) 6.62153 0.272835
\(590\) 12.5258 + 17.0093i 0.515680 + 0.700262i
\(591\) −13.4593 −0.553642
\(592\) −5.03431 + 2.32912i −0.206909 + 0.0957263i
\(593\) −37.9043 12.7714i −1.55654 0.524460i −0.596092 0.802916i \(-0.703281\pi\)
−0.960449 + 0.278456i \(0.910177\pi\)
\(594\) −0.258606 + 0.304454i −0.0106107 + 0.0124919i
\(595\) −70.1477 42.2065i −2.87578 1.73030i
\(596\) −18.7442 + 2.03855i −0.767790 + 0.0835022i
\(597\) −0.903894 + 16.6713i −0.0369939 + 0.682313i
\(598\) −0.181397 + 0.653333i −0.00741788 + 0.0267168i
\(599\) 12.8439 + 9.76367i 0.524787 + 0.398933i 0.833751 0.552141i \(-0.186189\pi\)
−0.308964 + 0.951074i \(0.599982\pi\)
\(600\) 2.54791 + 0.277102i 0.104018 + 0.0113126i
\(601\) −3.41761 + 20.8465i −0.139407 + 0.850347i 0.820832 + 0.571169i \(0.193510\pi\)
−0.960240 + 0.279177i \(0.909938\pi\)
\(602\) 43.4955 26.1704i 1.77275 1.06663i
\(603\) 9.06312 6.88961i 0.369079 0.280566i
\(604\) −6.28908 15.7844i −0.255899 0.642258i
\(605\) −19.2999 22.7216i −0.784653 0.923765i
\(606\) 0.245570 + 1.49791i 0.00997558 + 0.0608484i
\(607\) −0.220696 4.07049i −0.00895776 0.165216i −0.999589 0.0286548i \(-0.990878\pi\)
0.990632 0.136561i \(-0.0436051\pi\)
\(608\) −2.84829 0.626956i −0.115513 0.0254264i
\(609\) 27.4329 25.9858i 1.11164 1.05300i
\(610\) 18.0037 6.06615i 0.728948 0.245611i
\(611\) 0.364913 0.915862i 0.0147628 0.0370518i
\(612\) 1.65623 + 5.96520i 0.0669491 + 0.241129i
\(613\) −46.7125 + 10.2822i −1.88670 + 0.415294i −0.998983 0.0450937i \(-0.985641\pi\)
−0.887718 + 0.460388i \(0.847710\pi\)
\(614\) −11.0392 + 16.2816i −0.445506 + 0.657072i
\(615\) −9.45682 17.8375i −0.381336 0.719276i
\(616\) 0.899722 1.69705i 0.0362508 0.0683763i
\(617\) 14.3241 + 21.1264i 0.576665 + 0.850518i 0.998420 0.0561921i \(-0.0178959\pi\)
−0.421754 + 0.906710i \(0.638586\pi\)
\(618\) 9.51859 + 9.01649i 0.382894 + 0.362696i
\(619\) −14.0124 6.48281i −0.563204 0.260566i 0.117563 0.993065i \(-0.462492\pi\)
−0.680768 + 0.732499i \(0.738354\pi\)
\(620\) −5.66666 2.62168i −0.227579 0.105289i
\(621\) 1.47614 + 1.39828i 0.0592356 + 0.0561109i
\(622\) 2.61243 + 3.85304i 0.104749 + 0.154493i
\(623\) −26.9401 + 50.8145i −1.07933 + 2.03584i
\(624\) 0.156203 + 0.294631i 0.00625314 + 0.0117947i
\(625\) 17.5349 25.8620i 0.701395 1.03448i
\(626\) −26.2975 + 5.78852i −1.05106 + 0.231356i
\(627\) 0.311676 + 1.12255i 0.0124471 + 0.0448305i
\(628\) 0.455551 1.14335i 0.0181785 0.0456245i
\(629\) 32.5430 10.9650i 1.29757 0.437204i
\(630\) −9.60037 + 9.09396i −0.382488 + 0.362312i
\(631\) −1.02758 0.226188i −0.0409075 0.00900441i 0.194470 0.980909i \(-0.437701\pi\)
−0.235377 + 0.971904i \(0.575632\pi\)
\(632\) −0.612044 11.2885i −0.0243458 0.449032i
\(633\) −1.39351 8.50004i −0.0553871 0.337846i
\(634\) 7.77456 + 9.15291i 0.308767 + 0.363509i
\(635\) −15.6873 39.3723i −0.622533 1.56244i
\(636\) −4.16653 + 3.16731i −0.165214 + 0.125592i
\(637\) 4.60662 2.77171i 0.182521 0.109819i
\(638\) −0.507847 + 3.09773i −0.0201059 + 0.122640i
\(639\) 1.56192 + 0.169869i 0.0617886 + 0.00671991i
\(640\) 2.18932 + 1.66428i 0.0865404 + 0.0657863i
\(641\) 1.09299 3.93660i 0.0431706 0.155487i −0.938823 0.344399i \(-0.888083\pi\)
0.981994 + 0.188913i \(0.0604964\pi\)
\(642\) −0.599533 + 11.0577i −0.0236617 + 0.436414i
\(643\) 36.9925 4.02318i 1.45884 0.158659i 0.655959 0.754796i \(-0.272264\pi\)
0.802882 + 0.596138i \(0.203299\pi\)
\(644\) −8.37746 5.04055i −0.330118 0.198625i
\(645\) 18.7947 22.1268i 0.740041 0.871244i
\(646\) 17.1103 + 5.76515i 0.673198 + 0.226827i
\(647\) −7.37674 + 3.41284i −0.290009 + 0.134173i −0.559500 0.828830i \(-0.689007\pi\)
0.269490 + 0.963003i \(0.413145\pi\)
\(648\) 1.00000 0.0392837
\(649\) 2.56555 1.68300i 0.100707 0.0660637i
\(650\) −0.854679 −0.0335233
\(651\) 9.90812 4.58399i 0.388330 0.179661i
\(652\) 15.1361 + 5.09995i 0.592776 + 0.199730i
\(653\) −9.46225 + 11.1398i −0.370286 + 0.435935i −0.915473 0.402380i \(-0.868183\pi\)
0.545186 + 0.838315i \(0.316459\pi\)
\(654\) −17.0661 10.2683i −0.667338 0.401524i
\(655\) −12.9874 + 1.41246i −0.507458 + 0.0551894i
\(656\) 0.397452 7.33057i 0.0155179 0.286211i
\(657\) −2.52659 + 9.09995i −0.0985716 + 0.355023i
\(658\) 11.3170 + 8.60298i 0.441184 + 0.335379i
\(659\) 19.3360 + 2.10291i 0.753222 + 0.0819179i 0.476672 0.879081i \(-0.341843\pi\)
0.276551 + 0.960999i \(0.410809\pi\)
\(660\) 0.177725 1.08408i 0.00691795 0.0421977i
\(661\) −0.669528 + 0.402842i −0.0260416 + 0.0156687i −0.528515 0.848924i \(-0.677251\pi\)
0.502474 + 0.864593i \(0.332423\pi\)
\(662\) 8.64074 6.56852i 0.335832 0.255293i
\(663\) −0.764153 1.91788i −0.0296773 0.0744843i
\(664\) 8.96346 + 10.5526i 0.347850 + 0.409520i
\(665\) 6.23940 + 38.0587i 0.241954 + 1.47585i
\(666\) −0.300308 5.53885i −0.0116367 0.214626i
\(667\) 15.6045 + 3.43481i 0.604208 + 0.132996i
\(668\) −6.41880 + 6.08021i −0.248351 + 0.235250i
\(669\) −16.9676 + 5.71705i −0.656005 + 0.221034i
\(670\) −11.5884 + 29.0847i −0.447698 + 1.12364i
\(671\) −0.738263 2.65898i −0.0285003 0.102649i
\(672\) −4.69607 + 1.03368i −0.181155 + 0.0398752i
\(673\) −4.51954 + 6.66582i −0.174215 + 0.256948i −0.904765 0.425911i \(-0.859954\pi\)
0.730550 + 0.682860i \(0.239264\pi\)
\(674\) 4.17718 + 7.87900i 0.160899 + 0.303488i
\(675\) −1.20050 + 2.26438i −0.0462073 + 0.0871561i
\(676\) 7.23302 + 10.6679i 0.278193 + 0.410304i
\(677\) −8.61798 8.16339i −0.331216 0.313744i 0.503960 0.863727i \(-0.331876\pi\)
−0.835176 + 0.549982i \(0.814634\pi\)
\(678\) 0.620094 + 0.286886i 0.0238146 + 0.0110178i
\(679\) −21.4662 9.93131i −0.823796 0.381129i
\(680\) −12.3603 11.7083i −0.473997 0.448994i
\(681\) 2.74884 + 4.05424i 0.105336 + 0.155359i
\(682\) −0.424814 + 0.801284i −0.0162670 + 0.0306827i
\(683\) 12.7498 + 24.0487i 0.487858 + 0.920197i 0.998185 + 0.0602173i \(0.0191794\pi\)
−0.510328 + 0.859980i \(0.670476\pi\)
\(684\) 1.63669 2.41394i 0.0625804 0.0922991i
\(685\) −17.7852 + 3.91482i −0.679538 + 0.149578i
\(686\) 11.7341 + 42.2625i 0.448011 + 1.61359i
\(687\) −5.77821 + 14.5022i −0.220452 + 0.553294i
\(688\) 10.0041 3.37076i 0.381401 0.128509i
\(689\) 1.26710 1.20026i 0.0482726 0.0457263i
\(690\) −5.46092 1.20204i −0.207894 0.0457608i
\(691\) 2.40197 + 44.3018i 0.0913754 + 1.68532i 0.581405 + 0.813614i \(0.302503\pi\)
−0.490030 + 0.871706i \(0.663014\pi\)
\(692\) −2.26079 13.7902i −0.0859422 0.524224i
\(693\) 1.24350 + 1.46397i 0.0472368 + 0.0556114i
\(694\) 10.0419 + 25.2032i 0.381185 + 0.956701i
\(695\) −23.1466 + 17.5956i −0.878001 + 0.667439i
\(696\) 6.73344 4.05138i 0.255231 0.153567i
\(697\) −7.35286 + 44.8505i −0.278510 + 1.69883i
\(698\) −0.880914 0.0958051i −0.0333431 0.00362628i
\(699\) −12.1881 9.26512i −0.460995 0.350439i
\(700\) 3.29698 11.8746i 0.124614 0.448819i
\(701\) 1.03065 19.0092i 0.0389271 0.717969i −0.912308 0.409504i \(-0.865702\pi\)
0.951236 0.308465i \(-0.0998153\pi\)
\(702\) −0.331522 + 0.0360552i −0.0125125 + 0.00136082i
\(703\) −13.8619 8.34046i −0.522813 0.314566i
\(704\) 0.258606 0.304454i 0.00974656 0.0114745i
\(705\) 7.70467 + 2.59601i 0.290175 + 0.0977712i
\(706\) 7.96263 3.68390i 0.299677 0.138646i
\(707\) 7.29883 0.274501
\(708\) −7.36900 2.16746i −0.276944 0.0814580i
\(709\) −51.1808 −1.92213 −0.961067 0.276316i \(-0.910887\pi\)
−0.961067 + 0.276316i \(0.910887\pi\)
\(710\) −3.92139 + 1.81423i −0.147167 + 0.0680867i
\(711\) 10.7133 + 3.60972i 0.401779 + 0.135375i
\(712\) −7.74336 + 9.11618i −0.290195 + 0.341643i
\(713\) 3.95551 + 2.37995i 0.148135 + 0.0891299i
\(714\) 29.5942 3.21856i 1.10754 0.120452i
\(715\) −0.0198333 + 0.365804i −0.000741723 + 0.0136803i
\(716\) −2.26741 + 8.16648i −0.0847371 + 0.305196i
\(717\) 18.5316 + 14.0874i 0.692077 + 0.526103i
\(718\) 21.5102 + 2.33937i 0.802753 + 0.0873047i
\(719\) 6.54641 39.9314i 0.244140 1.48919i −0.525546 0.850765i \(-0.676139\pi\)
0.769686 0.638423i \(-0.220413\pi\)
\(720\) −2.35642 + 1.41781i −0.0878188 + 0.0528388i
\(721\) 50.1894 38.1530i 1.86915 1.42089i
\(722\) 3.88429 + 9.74883i 0.144558 + 0.362814i
\(723\) −10.3976 12.2409i −0.386689 0.455246i
\(724\) 1.48474 + 9.05653i 0.0551800 + 0.336583i
\(725\) 1.09037 + 20.1108i 0.0404955 + 0.746895i
\(726\) 10.5870 + 2.33037i 0.392920 + 0.0864882i
\(727\) 6.10987 5.78758i 0.226603 0.214649i −0.565972 0.824425i \(-0.691499\pi\)
0.792574 + 0.609775i \(0.208740\pi\)
\(728\) 1.51958 0.512007i 0.0563195 0.0189762i
\(729\) −0.370138 + 0.928977i −0.0137088 + 0.0344065i
\(730\) −6.94832 25.0256i −0.257169 0.926238i
\(731\) −63.8269 + 14.0494i −2.36072 + 0.519635i
\(732\) −3.87681 + 5.71787i −0.143291 + 0.211339i
\(733\) −2.12550 4.00911i −0.0785070 0.148080i 0.841151 0.540801i \(-0.181879\pi\)
−0.919658 + 0.392721i \(0.871534\pi\)
\(734\) −10.6824 + 20.1492i −0.394296 + 0.743720i
\(735\) 24.8806 + 36.6962i 0.917736 + 1.35356i
\(736\) −1.47614 1.39828i −0.0544114 0.0515412i
\(737\) 4.12735 + 1.90951i 0.152033 + 0.0703379i
\(738\) 6.66282 + 3.08255i 0.245262 + 0.113470i
\(739\) 30.9821 + 29.3478i 1.13969 + 1.07957i 0.995945 + 0.0899605i \(0.0286741\pi\)
0.143748 + 0.989614i \(0.454085\pi\)
\(740\) 8.56072 + 12.6261i 0.314698 + 0.464145i
\(741\) −0.455564 + 0.859284i −0.0167356 + 0.0315666i
\(742\) 11.7881 + 22.2348i 0.432755 + 0.816263i
\(743\) 8.34151 12.3028i 0.306020 0.451346i −0.643319 0.765598i \(-0.722443\pi\)
0.949340 + 0.314252i \(0.101754\pi\)
\(744\) 2.21730 0.488066i 0.0812903 0.0178934i
\(745\) 13.8718 + 49.9619i 0.508225 + 1.83046i
\(746\) 1.85794 4.66307i 0.0680239 0.170727i
\(747\) −13.1208 + 4.42093i −0.480066 + 0.161753i
\(748\) −1.79539 + 1.70069i −0.0656460 + 0.0621832i
\(749\) 52.0042 + 11.4470i 1.90019 + 0.418264i
\(750\) 0.362846 + 6.69230i 0.0132493 + 0.244368i
\(751\) −3.92925 23.9674i −0.143380 0.874581i −0.956339 0.292260i \(-0.905593\pi\)
0.812959 0.582322i \(-0.197856\pi\)
\(752\) 1.91392 + 2.25324i 0.0697933 + 0.0821671i
\(753\) 6.89907 + 17.3154i 0.251416 + 0.631007i
\(754\) −2.08621 + 1.58590i −0.0759754 + 0.0577550i
\(755\) −40.0384 + 24.0903i −1.45715 + 0.876737i
\(756\) 0.777928 4.74515i 0.0282930 0.172579i
\(757\) −32.8168 3.56904i −1.19275 0.129719i −0.509870 0.860252i \(-0.670306\pi\)
−0.682878 + 0.730533i \(0.739272\pi\)
\(758\) −7.41486 5.63663i −0.269320 0.204732i