Properties

Label 354.2.e.c.79.1
Level 354
Weight 2
Character 354.79
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 79.1
Character \(\chi\) = 354.79
Dual form 354.2.e.c.121.1

$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{4}{29}\right)\) \(1\)

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 −0.933466 0.358665i \(-0.883232\pi\)
−0.120359 + 0.992730i \(0.538404\pi\)
\(6\) 0.994138 + 0.108119i 0.405855 + 0.0441394i
\(7\) 0.260327 + 4.80144i 0.0983942 + 1.81477i 0.465991 + 0.884789i \(0.345698\pi\)
−0.367597 + 0.929985i \(0.619819\pi\)
\(8\) 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 0.975293 0.220916i \(-0.0709047\pi\)
−0.994778 + 0.102061i \(0.967456\pi\)
\(12\) 0.856857 + 0.515554i 0.247353 + 0.148828i
\(13\) −0.265479 0.201812i −0.0736305 0.0559725i 0.567711 0.823228i \(-0.307829\pi\)
−0.641342 + 0.767255i \(0.721622\pi\)
\(14\) −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 −0.618971 0.785414i \(-0.712450\pi\)
0.700260 0.713888i \(-0.253067\pi\)
\(18\) 0.976621 0.214970i 0.230192 0.0506690i
\(19\) 2.11735 + 2.00566i 0.485753 + 0.460130i 0.890951 0.454099i \(-0.150039\pi\)
−0.405198 + 0.914229i \(0.632797\pi\)
\(20\) −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 0.417112 0.908855i \(-0.363042\pi\)
−0.00305809 + 0.999995i \(0.500973\pi\)
\(24\) 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 0.375050 0.927005i \(-0.377626\pi\)
0.949330 + 0.314281i \(0.101764\pi\)
\(30\) −2.49590 + 1.15473i −0.455688 + 0.210824i
\(31\) 1.64829 1.56134i 0.296042 0.280425i −0.525233 0.850958i \(-0.676022\pi\)
0.821275 + 0.570533i \(0.193263\pi\)
\(32\) −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 0.735578 + 0.677440i \(0.236911\pi\)
−0.979542 + 0.201240i \(0.935503\pi\)
\(38\) 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 0.383719 0.923450i \(-0.374643\pi\)
0.736001 + 0.676981i \(0.236712\pi\)
\(42\) −0.260327 + 4.80144i −0.0401693 + 0.740879i
\(43\) 1.70788 10.4176i 0.260449 1.58867i −0.455317 0.890330i \(-0.650474\pi\)
0.715766 0.698340i \(-0.246078\pi\)
\(44\) 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 0.318675 0.947864i \(-0.396762\pi\)
−0.688179 + 0.725541i \(0.741590\pi\)
\(48\) 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 −0.256454 0.966556i \(-0.582554\pi\)
−0.458239 + 0.888829i \(0.651520\pi\)
\(54\) 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 −0.0247852 0.999693i \(-0.507890\pi\)
−0.777974 + 0.628297i \(0.783752\pi\)
\(62\) 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 0.878456 + 0.477824i \(0.158574\pi\)
−0.506367 + 0.862318i \(0.669012\pi\)
\(68\) 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 0.593193 0.805061i \(-0.297867\pi\)
−0.433424 + 0.901190i \(0.642695\pi\)
\(72\) 0.796093 + 0.605174i 0.0938205 + 0.0713205i
\(73\) 3.49566 8.77343i 0.409136 1.02685i −0.569636 0.821897i \(-0.692916\pi\)
0.978771 0.204955i \(-0.0657050\pi\)
\(74\) −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 0.849081 0.528263i \(-0.177156\pi\)
0.356257 + 0.934388i \(0.384053\pi\)
\(80\) −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 −0.964486 0.264132i \(-0.914914\pi\)
0.111621 0.993751i \(-0.464396\pi\)
\(84\) −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 −0.900077 0.435731i \(-0.856490\pi\)
−0.250600 + 0.968091i \(0.580628\pi\)
\(90\) −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 0.991975 0.126431i \(-0.0403523\pi\)
−0.807116 + 0.590393i \(0.798973\pi\)
\(98\) −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 −0.991594 0.129392i \(-0.958697\pi\)
0.999770 0.0214235i \(-0.00681983\pi\)
\(102\) 1.00157 6.10930i 0.0991702 0.604911i
\(103\) 8.48794 9.99277i 0.836341 0.984617i −0.163657 0.986517i \(-0.552329\pi\)
0.999998 + 0.00190008i \(0.000604815\pi\)
\(104\) 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 −0.920145 0.391577i \(-0.871930\pi\)
0.746948 0.664883i \(-0.231518\pi\)
\(108\) 0.994138 0.108119i 0.0956610 0.0104038i
\(109\) −15.8559 + 12.0533i −1.51872 + 1.15450i −0.577648 + 0.816286i \(0.696029\pi\)
−0.941070 + 0.338213i \(0.890178\pi\)
\(110\) 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 −0.487751 0.872983i \(-0.662183\pi\)
0.542824 + 0.839846i \(0.317355\pi\)
\(114\) 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 0.102747 0.994708i \(-0.467237\pi\)
0.985938 + 0.167111i \(0.0534437\pi\)
\(128\) −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 0.757206 0.653176i \(-0.226564\pi\)
−0.426793 + 0.904349i \(0.640357\pi\)
\(132\) 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 0.864979 0.501809i \(-0.167332\pi\)
−0.454244 + 0.890877i \(0.650090\pi\)
\(138\) 1.92683 + 0.649226i 0.164023 + 0.0552658i
\(139\) 3.91329 + 9.82162i 0.331921 + 0.833059i 0.996322 + 0.0856830i \(0.0273072\pi\)
−0.664401 + 0.747376i \(0.731313\pi\)
\(140\) 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 −0.123848 + 0.992301i \(0.539523\pi\)
−0.997551 + 0.0699438i \(0.977718\pi\)
\(150\) 1.43829 2.12131i 0.117435 0.173204i
\(151\) 7.95881 + 15.0119i 0.647679 + 1.22165i 0.962185 + 0.272396i \(0.0878162\pi\)
−0.314506 + 0.949255i \(0.601839\pi\)
\(152\) −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 0.365458 0.930828i \(-0.380912\pi\)
−0.272374 + 0.962191i \(0.587809\pi\)
\(158\) 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 −0.493266 0.869879i \(-0.664197\pi\)
0.956324 0.292309i \(-0.0944236\pi\)
\(164\) 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 −0.441674 0.897176i \(-0.645615\pi\)
−0.238482 + 0.971147i \(0.576650\pi\)
\(168\) −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 0.989634 0.143609i \(-0.0458709\pi\)
−0.301823 + 0.953364i \(0.597595\pi\)
\(174\) 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 0.110804 0.993842i \(-0.464657\pi\)
−0.685736 + 0.727850i \(0.740520\pi\)
\(180\) −2.60612 + 0.878104i −0.194249 + 0.0654500i
\(181\) −5.94134 6.99469i −0.441616 0.519911i 0.495651 0.868522i \(-0.334929\pi\)
−0.937268 + 0.348611i \(0.886654\pi\)
\(182\) 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 0.343942 + 0.938991i \(0.388238\pi\)
−0.895444 + 0.445174i \(0.853142\pi\)
\(192\) −0.647386 + 0.762162i −0.0467211 + 0.0550043i
\(193\) −1.20906 + 7.37494i −0.0870301 + 0.530860i 0.906945 + 0.421250i \(0.138408\pi\)
−0.993975 + 0.109610i \(0.965040\pi\)
\(194\) −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 −0.174163 0.984717i \(-0.555722\pi\)
−0.734576 + 0.678527i \(0.762619\pi\)
\(198\) −0.147856 0.371090i −0.0105076 0.0263722i
\(199\) 4.46661 16.0873i 0.316629 1.14040i −0.618411 0.785855i \(-0.712223\pi\)
0.935040 0.354541i \(-0.115363\pi\)
\(200\) 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 −0.982664 0.185395i \(-0.940643\pi\)
0.704908 + 0.709299i \(0.250988\pi\)
\(212\) −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 0.00710931 0.999975i \(-0.497737\pi\)
−0.961624 + 0.274372i \(0.911530\pi\)
\(224\) −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 −0.467716 0.883879i \(-0.654923\pi\)
0.726534 + 0.687131i \(0.241130\pi\)
\(228\) 0.780240 + 2.81017i 0.0516727 + 0.186108i
\(229\) −0.845160 15.5881i −0.0558497 1.03009i −0.883377 0.468663i \(-0.844736\pi\)
0.827527 0.561425i \(-0.189747\pi\)
\(230\) −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 −0.751487 0.659748i \(-0.770663\pi\)
−0.198991 + 0.980001i \(0.563767\pi\)
\(234\) −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 0.503307 0.864108i \(-0.332116\pi\)
0.923615 + 0.383321i \(0.125220\pi\)
\(240\) −1.78036 2.09601i −0.114922 0.135297i
\(241\) −13.7618 + 8.28021i −0.886477 + 0.533376i −0.884457 0.466622i \(-0.845471\pi\)
−0.00202038 + 0.999998i \(0.500643\pi\)
\(242\) 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 −0.235523 0.971869i \(-0.575680\pi\)
0.997169 + 0.0751898i \(0.0239563\pi\)
\(252\) −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 0.627903 + 0.778291i \(0.283913\pi\)
0.0793755 + 0.996845i \(0.474707\pi\)
\(258\) 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 −0.957294 0.289116i \(-0.906639\pi\)
0.622913 + 0.782291i \(0.285949\pi\)
\(264\) 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 −0.999160 0.0409778i \(-0.986953\pi\)
0.526799 0.849990i \(-0.323392\pi\)
\(270\) −1.28816 + 2.42973i −0.0783949 + 0.147869i
\(271\) −3.48231 5.13603i −0.211536 0.311992i 0.707088 0.707126i \(-0.250008\pi\)
−0.918623 + 0.395134i \(0.870698\pi\)
\(272\) 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 −0.0815714 0.996667i \(-0.525994\pi\)
0.344458 + 0.938802i \(0.388063\pi\)
\(278\) −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 −0.992385 0.123175i \(-0.960692\pi\)
0.805174 + 0.593038i \(0.202072\pi\)
\(282\) −2.35355 1.78912i −0.140152 0.106541i
\(283\) −11.9873 7.21251i −0.712571 0.428739i 0.112587 0.993642i \(-0.464086\pi\)
−0.825158 + 0.564902i \(0.808914\pi\)
\(284\) 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 −0.573342 0.819316i \(-0.694354\pi\)
−0.995625 + 0.0934341i \(0.970216\pi\)
\(294\) −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 −0.0543311 0.998523i \(-0.517303\pi\)
−0.907656 + 0.419714i \(0.862130\pi\)
\(308\) 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 −0.956841 0.290614i \(-0.906141\pi\)
0.999546 + 0.0301198i \(0.00958889\pi\)
\(312\) 0.0180541 0.332988i 0.00102211 0.0188517i
\(313\) −26.2975 + 5.78852i −1.48642 + 0.327187i −0.882673 0.469987i \(-0.844259\pi\)
−0.603750 + 0.797174i \(0.706328\pi\)
\(314\) 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 −0.816876 0.576813i \(-0.804296\pi\)
0.997324 0.0731024i \(-0.0232900\pi\)
\(318\) −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 0.496503 0.868035i \(-0.334617\pi\)
0.0861353 + 0.996283i \(0.472548\pi\)
\(332\) 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 −0.955481 0.295054i \(-0.904662\pi\)
0.981781 0.190018i \(-0.0608548\pi\)
\(338\) 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 −0.723774 0.690038i \(-0.757594\pi\)
0.644925 0.764246i \(-0.276889\pi\)
\(348\) 7.81224 + 0.849632i 0.418780 + 0.0455451i
\(349\) −0.759268 + 0.456836i −0.0406427 + 0.0244539i −0.535730 0.844389i \(-0.679964\pi\)
0.495088 + 0.868843i \(0.335136\pi\)
\(350\) 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 0.0659966 0.997820i \(-0.478977\pi\)
0.912499 + 0.409078i \(0.134150\pi\)
\(360\) −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 0.0124369 0.999923i \(-0.496041\pi\)
−0.960148 + 0.279491i \(0.909834\pi\)
\(368\) −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 0.776213 0.630471i \(-0.217138\pi\)
−0.587523 + 0.809207i \(0.699897\pi\)
\(374\) −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 −0.969911 0.243459i \(-0.921718\pi\)
0.745810 + 0.666159i \(0.232063\pi\)
\(380\) −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 −0.872768 0.488136i \(-0.837677\pi\)
−0.192979 + 0.981203i \(0.561815\pi\)
\(384\) −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 0.972500 + 0.232904i \(0.0748228\pi\)
−0.143597 + 0.989636i \(0.545867\pi\)
\(390\) 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 −0.757223 0.653156i \(-0.773444\pi\)
0.926139 0.377183i \(-0.123107\pi\)
\(398\) 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 0.756046 0.654519i \(-0.227129\pi\)
−0.224137 + 0.974558i \(0.571956\pi\)
\(402\) 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 0.954069 0.299586i \(-0.0968484\pi\)
−0.449990 + 0.893033i \(0.648573\pi\)
\(410\) −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 −0.424464 0.905445i \(-0.639537\pi\)
−0.609184 + 0.793029i \(0.708503\pi\)
\(420\) −0.715919 13.2043i −0.0349333 0.644306i
\(421\) 8.02861 + 28.9164i 0.391291 + 1.40930i 0.852833 + 0.522183i \(0.174882\pi\)
−0.461543 + 0.887118i \(0.652704\pi\)
\(422\) −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 −0.160217 0.987082i \(-0.551219\pi\)
0.269056 + 0.963125i \(0.413288\pi\)
\(432\) 0.725995 + 0.687699i 0.0349295 + 0.0330870i
\(433\) 37.9115 + 12.7739i 1.82191 + 0.613874i 0.998952 + 0.0457745i \(0.0145756\pi\)
0.822960 + 0.568099i \(0.192321\pi\)
\(434\) 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 0.999124 0.0418593i \(-0.0133281\pi\)
−0.595342 + 0.803473i \(0.702983\pi\)
\(440\) −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 −0.919893 0.392170i \(-0.871725\pi\)
−0.296629 + 0.954993i \(0.595862\pi\)
\(444\) −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 −0.218560 0.975823i \(-0.570136\pi\)
−0.608098 + 0.793862i \(0.708067\pi\)
\(450\) 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 −0.00692690 0.999976i \(-0.502205\pi\)
0.987923 0.154942i \(-0.0495192\pi\)
\(458\) 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 0.912264 + 0.409603i \(0.134333\pi\)
−0.733723 + 0.679449i \(0.762219\pi\)
\(462\) 1.90955 0.207676i 0.0888401 0.00966194i
\(463\) −24.8242 + 18.8709i −1.15368 + 0.877004i −0.993915 0.110151i \(-0.964866\pi\)
−0.159764 + 0.987155i \(0.551073\pi\)
\(464\) 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 −0.831392 0.555686i \(-0.812456\pi\)
0.101524 + 0.994833i \(0.467628\pi\)
\(468\) −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 −0.999270 0.0381905i \(-0.987841\pi\)
0.989284 0.146007i \(-0.0466421\pi\)
\(480\) −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 −0.148851 0.988860i \(-0.547557\pi\)
0.999914 0.0130900i \(-0.00416681\pi\)
\(488\) 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 0.999831 0.0184022i \(-0.00585793\pi\)
0.0357545 + 0.999361i \(0.488617\pi\)
\(492\) 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 −0.855075 0.518504i \(-0.826489\pi\)
0.798174 + 0.602427i \(0.205799\pi\)
\(500\) 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 −0.721561 0.692351i \(-0.756575\pi\)
0.652271 + 0.757986i \(0.273817\pi\)
\(504\) −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 −0.692330 0.721581i \(-0.743416\pi\)
0.965242 0.261358i \(-0.0841705\pi\)
\(510\) 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 0.209282 0.977855i \(-0.432887\pi\)
0.414599 + 0.910004i \(0.363922\pi\)
\(522\) 6.25594 4.75564i 0.273815 0.208149i
\(523\) 8.45015 + 30.4347i 0.369499 + 1.33082i 0.881643 + 0.471917i \(0.156438\pi\)
−0.512144 + 0.858900i \(0.671148\pi\)
\(524\) 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 −0.128531 0.991706i \(-0.541026\pi\)
0.0876615 + 0.996150i \(0.472061\pi\)
\(542\) −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 0.920431 + 0.390905i \(0.127838\pi\)
−0.997066 + 0.0765476i \(0.975610\pi\)
\(548\) −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 0.978402 0.206713i \(-0.0662765\pi\)
−0.720160 + 0.693808i \(0.755932\pi\)
\(558\) 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 −0.663986 0.747745i \(-0.731136\pi\)
0.940404 + 0.340058i \(0.110447\pi\)
\(564\) −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 0.993524 + 0.113621i \(0.0362451\pi\)
−0.643157 + 0.765735i \(0.722376\pi\)
\(570\) −7.60069 2.56097i −0.318358 0.107267i
\(571\) 22.6805 + 21.4841i 0.949148 + 0.899081i 0.995001 0.0998671i \(-0.0318418\pi\)
−0.0458524 + 0.998948i \(0.514600\pi\)
\(572\) −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 0.993251 0.115982i \(-0.0370016\pi\)
0.153968 + 0.988076i \(0.450795\pi\)
\(578\) −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 −0.871691 0.490056i \(-0.836976\pi\)
−0.397378 + 0.917655i \(0.630080\pi\)
\(588\) −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 −0.960449 0.278456i \(-0.910177\pi\)
−0.596092 + 0.802916i \(0.703281\pi\)
\(594\) −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 −0.308964 0.951074i \(-0.599982\pi\)
0.833751 + 0.552141i \(0.186189\pi\)
\(600\) 2.54791 0.277102i 0.104018 0.0113126i
\(601\) −3.41761 20.8465i −0.139407 0.850347i −0.960240 0.279177i \(-0.909938\pi\)
0.820832 0.571169i \(-0.193510\pi\)
\(602\) 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 0.990632 + 0.136561i \(0.0436051\pi\)
−0.999589 + 0.0286548i \(0.990878\pi\)
\(608\) −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 −0.887718 0.460388i \(-0.847710\pi\)
−0.998983 + 0.0450937i \(0.985641\pi\)
\(614\) −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 −0.421754 0.906710i \(-0.638586\pi\)
0.998420 + 0.0561921i \(0.0178959\pi\)
\(618\) 9.51859 9.01649i 0.382894 0.362696i
\(619\) −14.0124 + 6.48281i −0.563204 + 0.260566i −0.680768 0.732499i \(-0.738354\pi\)
0.117563 + 0.993065i \(0.462492\pi\)
\(620\) −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 −0.235377 0.971904i \(-0.575632\pi\)
0.194470 + 0.980909i \(0.437701\pi\)
\(632\) −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 0.981994 0.188913i \(-0.0604964\pi\)
−0.938823 + 0.344399i \(0.888083\pi\)
\(642\) −0.599533 11.0577i −0.0236617 0.436414i
\(643\) 36.9925 + 4.02318i 1.45884 + 0.158659i 0.802882 0.596138i \(-0.203299\pi\)
0.655959 + 0.754796i \(0.272264\pi\)
\(644\) −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 0.269490 0.963003i \(-0.413145\pi\)
−0.559500 + 0.828830i \(0.689007\pi\)
\(648\) 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 0.545186 0.838315i \(-0.316459\pi\)
−0.915473 + 0.402380i \(0.868183\pi\)
\(654\) −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 0.276551 0.960999i \(-0.410809\pi\)
0.476672 + 0.879081i \(0.341843\pi\)
\(660\) 0.177725 + 1.08408i 0.00691795 + 0.0421977i
\(661\) −0.669528 0.402842i −0.0260416 0.0156687i 0.502474 0.864593i \(-0.332423\pi\)
−0.528515 + 0.848924i \(0.677251\pi\)
\(662\) 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 0.730550 0.682860i \(-0.239264\pi\)
−0.904765 + 0.425911i \(0.859954\pi\)
\(674\) 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 −0.835176 0.549982i \(-0.814634\pi\)
0.503960 + 0.863727i \(0.331876\pi\)
\(678\) 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 −0.510328 0.859980i \(-0.670476\pi\)
0.998185 0.0602173i \(-0.0191794\pi\)
\(684\) 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 −0.490030 0.871706i \(-0.663014\pi\)
0.581405 0.813614i \(-0.302503\pi\)
\(692\) −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 0.951236 + 0.308465i \(0.0998153\pi\)
−0.912308 + 0.409504i \(0.865702\pi\)
\(702\) −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 0.769686 + 0.638423i \(0.220413\pi\)
−0.525546 + 0.850765i \(0.676139\pi\)
\(720\) −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 0.792574 0.609775i \(-0.208740\pi\)
−0.565972 + 0.824425i \(0.691499\pi\)
\(728\) 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 −0.919658 0.392721i \(-0.871534\pi\)
0.841151 + 0.540801i \(0.181879\pi\)
\(734\) −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 0.143748 0.989614i \(-0.454085\pi\)
0.995945 0.0899605i \(-0.0286741\pi\)
\(740\) 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 0.949340 0.314252i \(-0.101754\pi\)
−0.643319 + 0.765598i \(0.722443\pi\)
\(744\) 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 0.812959 + 0.582322i \(0.197856\pi\)
−0.956339 + 0.292260i \(0.905593\pi\)
\(752\) 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 −0.682878 0.730533i \(-0.739272\pi\)
−0.509870 + 0.860252i \(0.670306\pi\)
\(758\) −7.41