Properties

Label 731.2.z.a.67.7
Level 731
Weight 2
Character 731.67
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 67.7
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.43695 + 1.80187i) q^{2} +(-0.348188 - 2.31008i) q^{3} +(-0.736893 - 3.22854i) q^{4} +(0.523790 + 0.768259i) q^{5} +(4.66280 + 2.69207i) q^{6} +(-2.81082 + 1.62283i) q^{7} +(2.72340 + 1.31152i) q^{8} +(-2.34851 + 0.724419i) q^{9} +O(q^{10})\) \(q+(-1.43695 + 1.80187i) q^{2} +(-0.348188 - 2.31008i) q^{3} +(-0.736893 - 3.22854i) q^{4} +(0.523790 + 0.768259i) q^{5} +(4.66280 + 2.69207i) q^{6} +(-2.81082 + 1.62283i) q^{7} +(2.72340 + 1.31152i) q^{8} +(-2.34851 + 0.724419i) q^{9} +(-2.13696 - 0.160143i) q^{10} +(3.36971 + 0.769115i) q^{11} +(-7.20160 + 2.82642i) q^{12} +(-0.348764 - 4.65393i) q^{13} +(1.11487 - 7.39665i) q^{14} +(1.59236 - 1.47749i) q^{15} +(-0.309342 + 0.148971i) q^{16} +(-2.10655 + 3.54435i) q^{17} +(2.06937 - 5.27267i) q^{18} +(-0.0838144 - 0.0258533i) q^{19} +(2.09438 - 2.25720i) q^{20} +(4.72755 + 5.92816i) q^{21} +(-6.22795 + 4.96662i) q^{22} +(2.02205 - 2.17925i) q^{23} +(2.08146 - 6.74793i) q^{24} +(1.51084 - 3.84956i) q^{25} +(8.88695 + 6.05902i) q^{26} +(-0.549694 - 1.14145i) q^{27} +(7.31063 + 7.87899i) q^{28} +(-0.633282 + 4.20155i) q^{29} +(0.374122 + 4.99231i) q^{30} +(-7.51121 + 2.94793i) q^{31} +(-1.16917 + 5.12246i) q^{32} +(0.603421 - 8.05210i) q^{33} +(-3.35947 - 8.88879i) q^{34} +(-2.71903 - 1.30941i) q^{35} +(4.06941 + 7.04843i) q^{36} +(-3.78548 - 2.18555i) q^{37} +(0.167021 - 0.113873i) q^{38} +(-10.6295 + 2.42611i) q^{39} +(0.418903 + 2.77924i) q^{40} +(-7.60574 - 6.06537i) q^{41} -17.4750 q^{42} +(-5.93960 + 2.77870i) q^{43} -11.4460i q^{44} +(-1.78667 - 1.42482i) q^{45} +(1.02116 + 6.77494i) q^{46} +(-2.75961 - 12.0906i) q^{47} +(0.451844 + 0.662734i) q^{48} +(1.76713 - 3.06076i) q^{49} +(4.76542 + 8.25395i) q^{50} +(8.92121 + 3.63220i) q^{51} +(-14.7684 + 4.55544i) q^{52} +(0.506855 - 6.76351i) q^{53} +(2.84663 + 0.649726i) q^{54} +(1.17414 + 2.99167i) q^{55} +(-9.78336 + 0.733161i) q^{56} +(-0.0305400 + 0.202620i) q^{57} +(-6.66067 - 7.17850i) q^{58} +(-8.31014 + 4.00195i) q^{59} +(-5.94355 - 4.05224i) q^{60} +(3.74933 + 1.47150i) q^{61} +(5.48141 - 17.7703i) q^{62} +(5.42562 - 5.84743i) q^{63} +(-7.97815 - 10.0043i) q^{64} +(3.39274 - 2.70562i) q^{65} +(13.6418 + 12.6577i) q^{66} +(-6.70163 - 2.06718i) q^{67} +(12.9954 + 4.18928i) q^{68} +(-5.73829 - 3.91230i) q^{69} +(6.26650 - 3.01779i) q^{70} +(3.89038 + 4.19283i) q^{71} +(-7.34602 - 1.10723i) q^{72} +(-7.50423 + 0.562364i) q^{73} +(9.37762 - 3.68044i) q^{74} +(-9.41883 - 2.14979i) q^{75} +(-0.0217062 + 0.289649i) q^{76} +(-10.7198 + 3.30662i) q^{77} +(10.9025 - 22.6392i) q^{78} +(-1.72306 + 0.994808i) q^{79} +(-0.276479 - 0.159625i) q^{80} +(-8.53738 + 5.82068i) q^{81} +(21.8581 - 4.98897i) q^{82} +(-13.1862 + 1.98750i) q^{83} +(15.6556 - 19.6315i) q^{84} +(-3.82637 + 0.238119i) q^{85} +(3.52802 - 14.6953i) q^{86} +9.92641 q^{87} +(8.16837 + 6.51406i) q^{88} +(13.0633 - 1.96898i) q^{89} +(5.13469 - 1.17196i) q^{90} +(8.53283 + 12.5154i) q^{91} +(-8.52583 - 4.92239i) q^{92} +(9.42528 + 16.3251i) q^{93} +(25.7512 + 12.4011i) q^{94} +(-0.0240391 - 0.0779329i) q^{95} +(12.2404 + 0.917290i) q^{96} +(0.0908623 + 0.0207387i) q^{97} +(2.97583 + 7.58229i) q^{98} +(-8.47096 + 0.634811i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.43695 + 1.80187i −1.01607 + 1.27412i −0.0548084 + 0.998497i \(0.517455\pi\)
−0.961266 + 0.275621i \(0.911117\pi\)
\(3\) −0.348188 2.31008i −0.201027 1.33372i −0.830637 0.556814i \(-0.812024\pi\)
0.629611 0.776911i \(-0.283214\pi\)
\(4\) −0.736893 3.22854i −0.368447 1.61427i
\(5\) 0.523790 + 0.768259i 0.234246 + 0.343576i 0.925306 0.379222i \(-0.123808\pi\)
−0.691060 + 0.722798i \(0.742856\pi\)
\(6\) 4.66280 + 2.69207i 1.90358 + 1.09903i
\(7\) −2.81082 + 1.62283i −1.06239 + 0.613371i −0.926092 0.377297i \(-0.876853\pi\)
−0.136297 + 0.990668i \(0.543520\pi\)
\(8\) 2.72340 + 1.31152i 0.962868 + 0.463693i
\(9\) −2.34851 + 0.724419i −0.782836 + 0.241473i
\(10\) −2.13696 0.160143i −0.675767 0.0506418i
\(11\) 3.36971 + 0.769115i 1.01601 + 0.231897i 0.697929 0.716167i \(-0.254105\pi\)
0.318078 + 0.948064i \(0.396962\pi\)
\(12\) −7.20160 + 2.82642i −2.07892 + 0.815917i
\(13\) −0.348764 4.65393i −0.0967296 1.29077i −0.808559 0.588415i \(-0.799752\pi\)
0.711830 0.702352i \(-0.247867\pi\)
\(14\) 1.11487 7.39665i 0.297961 1.97684i
\(15\) 1.59236 1.47749i 0.411146 0.381487i
\(16\) −0.309342 + 0.148971i −0.0773355 + 0.0372428i
\(17\) −2.10655 + 3.54435i −0.510914 + 0.859632i
\(18\) 2.06937 5.27267i 0.487755 1.24278i
\(19\) −0.0838144 0.0258533i −0.0192283 0.00593116i 0.285126 0.958490i \(-0.407965\pi\)
−0.304354 + 0.952559i \(0.598441\pi\)
\(20\) 2.09438 2.25720i 0.468317 0.504725i
\(21\) 4.72755 + 5.92816i 1.03164 + 1.29363i
\(22\) −6.22795 + 4.96662i −1.32780 + 1.05889i
\(23\) 2.02205 2.17925i 0.421626 0.454405i −0.486140 0.873881i \(-0.661596\pi\)
0.907767 + 0.419476i \(0.137786\pi\)
\(24\) 2.08146 6.74793i 0.424876 1.37741i
\(25\) 1.51084 3.84956i 0.302168 0.769911i
\(26\) 8.88695 + 6.05902i 1.74287 + 1.18827i
\(27\) −0.549694 1.14145i −0.105789 0.219672i
\(28\) 7.31063 + 7.87899i 1.38158 + 1.48899i
\(29\) −0.633282 + 4.20155i −0.117597 + 0.780208i 0.849829 + 0.527058i \(0.176705\pi\)
−0.967427 + 0.253150i \(0.918533\pi\)
\(30\) 0.374122 + 4.99231i 0.0683050 + 0.911467i
\(31\) −7.51121 + 2.94793i −1.34905 + 0.529465i −0.926302 0.376781i \(-0.877031\pi\)
−0.422752 + 0.906246i \(0.638936\pi\)
\(32\) −1.16917 + 5.12246i −0.206682 + 0.905532i
\(33\) 0.603421 8.05210i 0.105042 1.40169i
\(34\) −3.35947 8.88879i −0.576145 1.52441i
\(35\) −2.71903 1.30941i −0.459600 0.221331i
\(36\) 4.06941 + 7.04843i 0.678235 + 1.17474i
\(37\) −3.78548 2.18555i −0.622329 0.359302i 0.155446 0.987844i \(-0.450319\pi\)
−0.777775 + 0.628542i \(0.783652\pi\)
\(38\) 0.167021 0.113873i 0.0270944 0.0184727i
\(39\) −10.6295 + 2.42611i −1.70208 + 0.388489i
\(40\) 0.418903 + 2.77924i 0.0662344 + 0.439436i
\(41\) −7.60574 6.06537i −1.18782 0.947252i −0.188424 0.982088i \(-0.560338\pi\)
−0.999393 + 0.0348355i \(0.988909\pi\)
\(42\) −17.4750 −2.69646
\(43\) −5.93960 + 2.77870i −0.905780 + 0.423747i
\(44\) 11.4460i 1.72555i
\(45\) −1.78667 1.42482i −0.266340 0.212399i
\(46\) 1.02116 + 6.77494i 0.150562 + 0.998911i
\(47\) −2.75961 12.0906i −0.402530 1.76360i −0.617095 0.786889i \(-0.711690\pi\)
0.214565 0.976710i \(-0.431167\pi\)
\(48\) 0.451844 + 0.662734i 0.0652181 + 0.0956574i
\(49\) 1.76713 3.06076i 0.252447 0.437251i
\(50\) 4.76542 + 8.25395i 0.673932 + 1.16728i
\(51\) 8.92121 + 3.63220i 1.24922 + 0.508610i
\(52\) −14.7684 + 4.55544i −2.04801 + 0.631726i
\(53\) 0.506855 6.76351i 0.0696219 0.929040i −0.847593 0.530647i \(-0.821949\pi\)
0.917215 0.398393i \(-0.130432\pi\)
\(54\) 2.84663 + 0.649726i 0.387378 + 0.0884164i
\(55\) 1.17414 + 2.99167i 0.158321 + 0.403396i
\(56\) −9.78336 + 0.733161i −1.30736 + 0.0979728i
\(57\) −0.0305400 + 0.202620i −0.00404512 + 0.0268376i
\(58\) −6.66067 7.17850i −0.874589 0.942583i
\(59\) −8.31014 + 4.00195i −1.08189 + 0.521010i −0.887920 0.459998i \(-0.847850\pi\)
−0.193968 + 0.981008i \(0.562136\pi\)
\(60\) −5.94355 4.05224i −0.767309 0.523142i
\(61\) 3.74933 + 1.47150i 0.480052 + 0.188406i 0.593013 0.805193i \(-0.297938\pi\)
−0.112961 + 0.993599i \(0.536034\pi\)
\(62\) 5.48141 17.7703i 0.696140 2.25683i
\(63\) 5.42562 5.84743i 0.683564 0.736707i
\(64\) −7.97815 10.0043i −0.997268 1.25053i
\(65\) 3.39274 2.70562i 0.420818 0.335591i
\(66\) 13.6418 + 12.6577i 1.67919 + 1.55806i
\(67\) −6.70163 2.06718i −0.818735 0.252546i −0.143030 0.989718i \(-0.545684\pi\)
−0.675705 + 0.737172i \(0.736161\pi\)
\(68\) 12.9954 + 4.18928i 1.57592 + 0.508025i
\(69\) −5.73829 3.91230i −0.690809 0.470986i
\(70\) 6.26650 3.01779i 0.748990 0.360695i
\(71\) 3.89038 + 4.19283i 0.461703 + 0.497597i 0.920391 0.391000i \(-0.127871\pi\)
−0.458688 + 0.888598i \(0.651680\pi\)
\(72\) −7.34602 1.10723i −0.865737 0.130489i
\(73\) −7.50423 + 0.562364i −0.878303 + 0.0658197i −0.506245 0.862390i \(-0.668967\pi\)
−0.372058 + 0.928209i \(0.621348\pi\)
\(74\) 9.37762 3.68044i 1.09013 0.427843i
\(75\) −9.41883 2.14979i −1.08759 0.248236i
\(76\) −0.0217062 + 0.289649i −0.00248987 + 0.0332251i
\(77\) −10.7198 + 3.30662i −1.22163 + 0.376824i
\(78\) 10.9025 22.6392i 1.23446 2.56339i
\(79\) −1.72306 + 0.994808i −0.193859 + 0.111925i −0.593788 0.804622i \(-0.702368\pi\)
0.399929 + 0.916546i \(0.369035\pi\)
\(80\) −0.276479 0.159625i −0.0309112 0.0178466i
\(81\) −8.53738 + 5.82068i −0.948597 + 0.646743i
\(82\) 21.8581 4.98897i 2.41382 0.550939i
\(83\) −13.1862 + 1.98750i −1.44737 + 0.218156i −0.825251 0.564766i \(-0.808967\pi\)
−0.622120 + 0.782922i \(0.713728\pi\)
\(84\) 15.6556 19.6315i 1.70817 2.14197i
\(85\) −3.82637 + 0.238119i −0.415028 + 0.0258276i
\(86\) 3.52802 14.6953i 0.380437 1.58463i
\(87\) 9.92641 1.06422
\(88\) 8.16837 + 6.51406i 0.870752 + 0.694401i
\(89\) 13.0633 1.96898i 1.38471 0.208712i 0.585944 0.810352i \(-0.300724\pi\)
0.798767 + 0.601640i \(0.205486\pi\)
\(90\) 5.13469 1.17196i 0.541243 0.123535i
\(91\) 8.53283 + 12.5154i 0.894483 + 1.31197i
\(92\) −8.52583 4.92239i −0.888879 0.513195i
\(93\) 9.42528 + 16.3251i 0.977356 + 1.69283i
\(94\) 25.7512 + 12.4011i 2.65603 + 1.27908i
\(95\) −0.0240391 0.0779329i −0.00246636 0.00799574i
\(96\) 12.2404 + 0.917290i 1.24928 + 0.0936205i
\(97\) 0.0908623 + 0.0207387i 0.00922567 + 0.00210570i 0.227131 0.973864i \(-0.427065\pi\)
−0.217906 + 0.975970i \(0.569922\pi\)
\(98\) 2.97583 + 7.58229i 0.300604 + 0.765927i
\(99\) −8.47096 + 0.634811i −0.851363 + 0.0638009i
\(100\) −13.5418 2.04109i −1.35418 0.204109i
\(101\) 11.8933 11.0353i 1.18342 1.09806i 0.190210 0.981743i \(-0.439083\pi\)
0.993213 0.116313i \(-0.0371075\pi\)
\(102\) −19.3641 + 10.8556i −1.91733 + 1.07487i
\(103\) 3.12778 + 2.13248i 0.308189 + 0.210120i 0.707531 0.706682i \(-0.249809\pi\)
−0.399342 + 0.916802i \(0.630761\pi\)
\(104\) 5.15390 13.1319i 0.505382 1.28769i
\(105\) −2.07812 + 6.73709i −0.202803 + 0.657473i
\(106\) 11.4587 + 10.6321i 1.11296 + 1.03268i
\(107\) 8.04153 6.41291i 0.777404 0.619959i −0.152271 0.988339i \(-0.548659\pi\)
0.929675 + 0.368380i \(0.120087\pi\)
\(108\) −3.28016 + 2.61584i −0.315633 + 0.251709i
\(109\) −4.17286 + 4.49728i −0.399688 + 0.430761i −0.900541 0.434771i \(-0.856829\pi\)
0.500853 + 0.865532i \(0.333020\pi\)
\(110\) −7.07779 2.18321i −0.674841 0.208161i
\(111\) −3.73073 + 9.50574i −0.354105 + 0.902245i
\(112\) 0.627749 0.920739i 0.0593167 0.0870017i
\(113\) −7.14768 14.8423i −0.672397 1.39625i −0.905732 0.423850i \(-0.860678\pi\)
0.233336 0.972396i \(-0.425036\pi\)
\(114\) −0.321211 0.346183i −0.0300842 0.0324230i
\(115\) 2.73336 + 0.411987i 0.254887 + 0.0384180i
\(116\) 14.0315 1.05152i 1.30279 0.0976310i
\(117\) 4.19047 + 10.6771i 0.387409 + 0.987101i
\(118\) 4.73021 20.7244i 0.435451 1.90784i
\(119\) 0.169267 13.3811i 0.0155167 1.22664i
\(120\) 6.27440 1.93540i 0.572772 0.176677i
\(121\) 0.852777 + 0.410676i 0.0775252 + 0.0373342i
\(122\) −8.03904 + 4.64134i −0.727821 + 0.420207i
\(123\) −11.3633 + 19.6817i −1.02459 + 1.77464i
\(124\) 15.0525 + 22.0779i 1.35175 + 1.98266i
\(125\) 8.28139 1.89017i 0.740710 0.169062i
\(126\) 2.74000 + 18.1787i 0.244099 + 1.61949i
\(127\) 2.87825 3.60921i 0.255403 0.320265i −0.637555 0.770405i \(-0.720054\pi\)
0.892958 + 0.450139i \(0.148626\pi\)
\(128\) 18.9822 1.67781
\(129\) 8.48711 + 12.7534i 0.747248 + 1.12288i
\(130\) 10.0011i 0.877157i
\(131\) −11.0448 8.80791i −0.964986 0.769551i 0.00810610 0.999967i \(-0.497420\pi\)
−0.973092 + 0.230416i \(0.925991\pi\)
\(132\) −26.4412 + 3.98537i −2.30141 + 0.346882i
\(133\) 0.277542 0.0633473i 0.0240660 0.00549290i
\(134\) 13.3547 9.10507i 1.15367 0.786558i
\(135\) 0.589006 1.02019i 0.0506936 0.0878038i
\(136\) −10.3855 + 6.88991i −0.890548 + 0.590805i
\(137\) 15.3620 + 7.39797i 1.31247 + 0.632051i 0.953527 0.301309i \(-0.0974235\pi\)
0.358941 + 0.933360i \(0.383138\pi\)
\(138\) 15.2951 4.71791i 1.30200 0.401615i
\(139\) −9.72218 0.728576i −0.824624 0.0617970i −0.344269 0.938871i \(-0.611873\pi\)
−0.480355 + 0.877074i \(0.659492\pi\)
\(140\) −2.22386 + 9.74339i −0.187951 + 0.823467i
\(141\) −26.9694 + 10.5847i −2.27124 + 0.891394i
\(142\) −13.1452 + 0.985098i −1.10312 + 0.0826676i
\(143\) 2.40417 15.9506i 0.201047 1.33386i
\(144\) 0.618574 0.573953i 0.0515479 0.0478294i
\(145\) −3.55958 + 1.71420i −0.295607 + 0.142357i
\(146\) 9.76987 14.3298i 0.808560 1.18594i
\(147\) −7.68588 3.01649i −0.633921 0.248796i
\(148\) −4.26664 + 13.8321i −0.350715 + 1.13699i
\(149\) −2.61347 2.42495i −0.214104 0.198660i 0.565829 0.824523i \(-0.308556\pi\)
−0.779933 + 0.625863i \(0.784747\pi\)
\(150\) 17.4080 13.8824i 1.42136 1.13350i
\(151\) 3.09295 + 3.87843i 0.251701 + 0.315622i 0.891589 0.452845i \(-0.149591\pi\)
−0.639889 + 0.768468i \(0.721020\pi\)
\(152\) −0.194353 0.180333i −0.0157641 0.0146270i
\(153\) 2.37966 9.84996i 0.192384 0.796322i
\(154\) 9.44566 24.0672i 0.761153 1.93939i
\(155\) −6.19907 4.22646i −0.497922 0.339477i
\(156\) 15.6656 + 32.5300i 1.25425 + 2.60448i
\(157\) −0.0844755 + 0.0783818i −0.00674188 + 0.00625555i −0.683536 0.729916i \(-0.739559\pi\)
0.676795 + 0.736172i \(0.263369\pi\)
\(158\) 0.683424 4.53422i 0.0543703 0.360723i
\(159\) −15.8007 + 1.18410i −1.25308 + 0.0939052i
\(160\) −4.54778 + 1.78487i −0.359533 + 0.141106i
\(161\) −2.14707 + 9.40691i −0.169212 + 0.741368i
\(162\) 1.77961 23.7473i 0.139820 1.86576i
\(163\) 3.93302 + 12.7505i 0.308058 + 0.998698i 0.968749 + 0.248041i \(0.0797868\pi\)
−0.660692 + 0.750657i \(0.729737\pi\)
\(164\) −13.9777 + 29.0250i −1.09147 + 2.26647i
\(165\) 6.50216 3.75402i 0.506193 0.292250i
\(166\) 15.3666 26.6158i 1.19268 2.06578i
\(167\) −6.13357 8.99629i −0.474630 0.696154i 0.512027 0.858969i \(-0.328895\pi\)
−0.986657 + 0.162816i \(0.947942\pi\)
\(168\) 5.10011 + 22.3450i 0.393482 + 1.72396i
\(169\) −8.68260 + 1.30869i −0.667893 + 0.100669i
\(170\) 5.06923 7.23680i 0.388792 0.555037i
\(171\) 0.215567 0.0164849
\(172\) 13.3480 + 17.1286i 1.01777 + 1.30605i
\(173\) 20.3964i 1.55071i 0.631527 + 0.775354i \(0.282429\pi\)
−0.631527 + 0.775354i \(0.717571\pi\)
\(174\) −14.2637 + 17.8861i −1.08133 + 1.35594i
\(175\) 2.00047 + 13.2722i 0.151221 + 1.00329i
\(176\) −1.15697 + 0.264071i −0.0872099 + 0.0199051i
\(177\) 12.1383 + 17.8036i 0.912371 + 1.33820i
\(178\) −15.2235 + 26.3678i −1.14105 + 1.97635i
\(179\) −1.69371 2.93360i −0.126594 0.219267i 0.795761 0.605611i \(-0.207071\pi\)
−0.922355 + 0.386344i \(0.873738\pi\)
\(180\) −3.28350 + 6.81826i −0.244738 + 0.508203i
\(181\) 0.769174 + 2.49360i 0.0571722 + 0.185348i 0.979654 0.200692i \(-0.0643190\pi\)
−0.922482 + 0.386040i \(0.873843\pi\)
\(182\) −34.8123 2.60882i −2.58046 0.193379i
\(183\) 2.09381 9.17359i 0.154779 0.678132i
\(184\) 8.36498 3.28301i 0.616675 0.242027i
\(185\) −0.303730 4.05300i −0.0223307 0.297982i
\(186\) −42.9593 6.47508i −3.14993 0.474776i
\(187\) −9.82450 + 10.3233i −0.718438 + 0.754912i
\(188\) −37.0015 + 17.8190i −2.69861 + 1.29958i
\(189\) 3.39747 + 2.31635i 0.247129 + 0.168490i
\(190\) 0.174968 + 0.0686699i 0.0126935 + 0.00498184i
\(191\) −18.4560 5.69292i −1.33543 0.411925i −0.456859 0.889539i \(-0.651026\pi\)
−0.878570 + 0.477614i \(0.841502\pi\)
\(192\) −20.3328 + 21.9135i −1.46739 + 1.58147i
\(193\) 12.4362 9.91752i 0.895176 0.713879i −0.0636201 0.997974i \(-0.520265\pi\)
0.958796 + 0.284095i \(0.0916932\pi\)
\(194\) −0.167933 + 0.133922i −0.0120569 + 0.00961504i
\(195\) −7.43151 6.89543i −0.532181 0.493792i
\(196\) −11.1840 3.44980i −0.798854 0.246414i
\(197\) 1.28714 + 0.505165i 0.0917049 + 0.0359915i 0.410750 0.911748i \(-0.365267\pi\)
−0.319045 + 0.947740i \(0.603362\pi\)
\(198\) 11.0285 16.1758i 0.783759 1.14956i
\(199\) 0.544038 + 1.12971i 0.0385658 + 0.0800828i 0.919362 0.393414i \(-0.128706\pi\)
−0.880796 + 0.473496i \(0.842992\pi\)
\(200\) 9.16340 8.50239i 0.647950 0.601210i
\(201\) −2.44192 + 16.2011i −0.172240 + 1.14273i
\(202\) 2.79430 + 37.2873i 0.196606 + 2.62353i
\(203\) −5.03834 12.8375i −0.353622 0.901015i
\(204\) 5.15272 31.4790i 0.360763 2.20397i
\(205\) 0.675967 9.02016i 0.0472116 0.629995i
\(206\) −8.33692 + 2.57160i −0.580861 + 0.179172i
\(207\) −3.17011 + 6.58279i −0.220338 + 0.457536i
\(208\) 0.801188 + 1.38770i 0.0555524 + 0.0962196i
\(209\) −0.262546 0.151581i −0.0181607 0.0104851i
\(210\) −9.15325 13.4253i −0.631634 0.926437i
\(211\) −3.53492 + 0.806823i −0.243354 + 0.0555440i −0.342458 0.939533i \(-0.611260\pi\)
0.0991040 + 0.995077i \(0.468402\pi\)
\(212\) −22.2098 + 3.34758i −1.52537 + 0.229913i
\(213\) 8.33118 10.4470i 0.570843 0.715815i
\(214\) 23.7048i 1.62043i
\(215\) −5.24586 3.10769i −0.357765 0.211943i
\(216\) 3.82957i 0.260569i
\(217\) 16.3287 20.4755i 1.10846 1.38997i
\(218\) −2.10735 13.9813i −0.142727 0.946935i
\(219\) 3.91199 + 17.1395i 0.264348 + 1.15818i
\(220\) 8.79350 5.99530i 0.592857 0.404203i
\(221\) 17.2298 + 8.56760i 1.15901 + 0.576319i
\(222\) −11.7673 20.3815i −0.789769 1.36792i
\(223\) 1.44928 + 0.697935i 0.0970507 + 0.0467372i 0.481779 0.876293i \(-0.339991\pi\)
−0.384729 + 0.923030i \(0.625705\pi\)
\(224\) −5.02655 16.2957i −0.335850 1.08880i
\(225\) −0.759528 + 10.1352i −0.0506352 + 0.675679i
\(226\) 37.0148 + 8.44839i 2.46219 + 0.561978i
\(227\) −14.5093 + 5.69446i −0.963013 + 0.377955i −0.794175 0.607689i \(-0.792097\pi\)
−0.168838 + 0.985644i \(0.554001\pi\)
\(228\) 0.676670 0.0507094i 0.0448136 0.00335831i
\(229\) 0.508631 + 0.0766638i 0.0336113 + 0.00506609i 0.165826 0.986155i \(-0.446971\pi\)
−0.132215 + 0.991221i \(0.542209\pi\)
\(230\) −4.67004 + 4.33316i −0.307933 + 0.285720i
\(231\) 11.3711 + 23.6122i 0.748160 + 1.55357i
\(232\) −7.23510 + 10.6119i −0.475008 + 0.696708i
\(233\) 7.70605 + 3.02440i 0.504840 + 0.198135i 0.604073 0.796929i \(-0.293544\pi\)
−0.0992327 + 0.995064i \(0.531639\pi\)
\(234\) −25.2603 7.79178i −1.65132 0.509364i
\(235\) 7.84327 8.45304i 0.511639 0.551415i
\(236\) 19.0441 + 23.8806i 1.23967 + 1.55449i
\(237\) 2.89803 + 3.63402i 0.188248 + 0.236055i
\(238\) 23.8678 + 19.5329i 1.54712 + 1.26613i
\(239\) 25.3052 + 7.80563i 1.63686 + 0.504904i 0.970576 0.240794i \(-0.0774080\pi\)
0.666283 + 0.745699i \(0.267884\pi\)
\(240\) −0.272480 + 0.694267i −0.0175885 + 0.0448147i
\(241\) 6.40955 9.40108i 0.412875 0.605577i −0.562321 0.826919i \(-0.690091\pi\)
0.975196 + 0.221342i \(0.0710437\pi\)
\(242\) −1.96538 + 0.946478i −0.126340 + 0.0608419i
\(243\) 13.8337 + 14.9092i 0.887431 + 0.956423i
\(244\) 1.98795 13.1892i 0.127265 0.844351i
\(245\) 3.27706 0.245582i 0.209364 0.0156896i
\(246\) −19.1356 48.7568i −1.22004 3.10862i
\(247\) −0.0910881 + 0.399083i −0.00579580 + 0.0253930i
\(248\) −24.3223 1.82271i −1.54447 0.115742i
\(249\) 9.18255 + 29.7691i 0.581920 + 1.88654i
\(250\) −8.49406 + 17.6381i −0.537211 + 1.11553i
\(251\) −6.72499 11.6480i −0.424478 0.735217i 0.571894 0.820328i \(-0.306209\pi\)
−0.996372 + 0.0851107i \(0.972876\pi\)
\(252\) −22.8767 13.2079i −1.44110 0.832019i
\(253\) 8.48982 5.78826i 0.533750 0.363905i
\(254\) 2.36745 + 10.3725i 0.148547 + 0.650827i
\(255\) 1.88237 + 8.75630i 0.117879 + 0.548341i
\(256\) −11.3202 + 14.1950i −0.707510 + 0.887189i
\(257\) 26.8230 1.67317 0.836587 0.547834i \(-0.184547\pi\)
0.836587 + 0.547834i \(0.184547\pi\)
\(258\) −35.1756 3.03330i −2.18994 0.188845i
\(259\) 14.1871 0.881541
\(260\) −11.2353 8.95985i −0.696783 0.555666i
\(261\) −1.55641 10.3261i −0.0963396 0.639171i
\(262\) 31.7415 7.24479i 1.96100 0.447585i
\(263\) −22.3104 + 15.2109i −1.37572 + 0.937947i −0.375779 + 0.926709i \(0.622625\pi\)
−0.999937 + 0.0112378i \(0.996423\pi\)
\(264\) 12.2039 21.1377i 0.751096 1.30094i
\(265\) 5.46161 3.15326i 0.335504 0.193703i
\(266\) −0.284670 + 0.591123i −0.0174542 + 0.0362441i
\(267\) −9.09700 29.4918i −0.556728 1.80487i
\(268\) −1.73559 + 23.1598i −0.106018 + 1.41471i
\(269\) 6.79786 + 1.55157i 0.414473 + 0.0946007i 0.424672 0.905347i \(-0.360389\pi\)
−0.0101991 + 0.999948i \(0.503247\pi\)
\(270\) 0.991881 + 2.52727i 0.0603639 + 0.153805i
\(271\) 1.96311 + 26.1958i 0.119250 + 1.59128i 0.660765 + 0.750593i \(0.270232\pi\)
−0.541515 + 0.840691i \(0.682149\pi\)
\(272\) 0.123639 1.41023i 0.00749669 0.0855079i
\(273\) 25.9404 24.0692i 1.56999 1.45673i
\(274\) −35.4047 + 17.0500i −2.13887 + 1.03003i
\(275\) 8.05185 11.8099i 0.485545 0.712163i
\(276\) −8.40251 + 21.4092i −0.505772 + 1.28869i
\(277\) −1.28269 + 4.15837i −0.0770693 + 0.249852i −0.985906 0.167299i \(-0.946495\pi\)
0.908837 + 0.417152i \(0.136972\pi\)
\(278\) 15.2831 16.4712i 0.916617 0.987878i
\(279\) 15.5046 12.3645i 0.928236 0.740244i
\(280\) −5.68768 7.13213i −0.339904 0.426226i
\(281\) 8.62828 + 8.00587i 0.514720 + 0.477590i 0.894237 0.447595i \(-0.147719\pi\)
−0.379517 + 0.925185i \(0.623910\pi\)
\(282\) 19.6813 63.8052i 1.17200 3.79954i
\(283\) −23.3440 9.16185i −1.38766 0.544615i −0.450266 0.892894i \(-0.648671\pi\)
−0.937391 + 0.348279i \(0.886766\pi\)
\(284\) 10.6699 15.6499i 0.633144 0.928651i
\(285\) −0.171661 + 0.0826675i −0.0101683 + 0.00489680i
\(286\) 25.2864 + 27.2522i 1.49522 + 1.61146i
\(287\) 31.2214 + 4.70587i 1.84294 + 0.277779i
\(288\) −0.965006 12.8771i −0.0568635 0.758791i
\(289\) −8.12487 14.9327i −0.477934 0.878396i
\(290\) 2.02615 8.87714i 0.118980 0.521284i
\(291\) 0.0162709 0.217120i 0.000953817 0.0127278i
\(292\) 7.34543 + 23.8133i 0.429859 + 1.39357i
\(293\) 17.3471 + 8.35391i 1.01343 + 0.488041i 0.865474 0.500954i \(-0.167017\pi\)
0.147953 + 0.988994i \(0.452732\pi\)
\(294\) 16.4795 9.51446i 0.961106 0.554895i
\(295\) −7.42730 4.28815i −0.432434 0.249666i
\(296\) −7.44299 10.9169i −0.432615 0.634530i
\(297\) −0.974404 4.26914i −0.0565407 0.247721i
\(298\) 8.12488 1.22463i 0.470662 0.0709408i
\(299\) −10.8473 8.65042i −0.627315 0.500267i
\(300\) 31.9932i 1.84713i
\(301\) 12.1858 17.4493i 0.702377 1.00576i
\(302\) −11.4329 −0.657887
\(303\) −29.6336 23.6320i −1.70240 1.35762i
\(304\) 0.0297787 0.00448842i 0.00170793 0.000257429i
\(305\) 0.833365 + 3.65121i 0.0477183 + 0.209068i
\(306\) 14.3290 + 18.4417i 0.819132 + 1.05424i
\(307\) −6.17437 + 10.6943i −0.352390 + 0.610357i −0.986668 0.162748i \(-0.947964\pi\)
0.634278 + 0.773105i \(0.281298\pi\)
\(308\) 18.5749 + 32.1726i 1.05840 + 1.83321i
\(309\) 3.83715 7.96792i 0.218288 0.453279i
\(310\) 16.5233 5.09676i 0.938460 0.289476i
\(311\) 26.7284 + 2.00302i 1.51563 + 0.113581i 0.806389 0.591386i \(-0.201419\pi\)
0.709241 + 0.704966i \(0.249038\pi\)
\(312\) −32.1303 7.33353i −1.81902 0.415179i
\(313\) 9.58086 3.76021i 0.541542 0.212540i −0.0787727 0.996893i \(-0.525100\pi\)
0.620315 + 0.784353i \(0.287005\pi\)
\(314\) −0.0198474 0.264845i −0.00112005 0.0149461i
\(315\) 7.33422 + 1.10546i 0.413237 + 0.0622854i
\(316\) 4.48149 + 4.82989i 0.252103 + 0.271703i
\(317\) −5.40017 11.2136i −0.303304 0.629817i 0.692491 0.721426i \(-0.256513\pi\)
−0.995795 + 0.0916093i \(0.970799\pi\)
\(318\) 20.5712 30.1724i 1.15358 1.69198i
\(319\) −5.36545 + 13.6710i −0.300408 + 0.765426i
\(320\) 3.50700 11.3694i 0.196047 0.635570i
\(321\) −17.6143 16.3437i −0.983133 0.912214i
\(322\) −13.8648 17.3860i −0.772658 0.968882i
\(323\) 0.268193 0.242606i 0.0149226 0.0134990i
\(324\) 25.0834 + 23.2740i 1.39352 + 1.29300i
\(325\) −18.4425 5.68875i −1.02300 0.315555i
\(326\) −28.6264 11.2350i −1.58547 0.622251i
\(327\) 11.8420 + 8.07374i 0.654865 + 0.446479i
\(328\) −12.7586 26.4935i −0.704477 1.46286i
\(329\) 27.3777 + 29.5062i 1.50938 + 1.62673i
\(330\) −2.57898 + 17.1104i −0.141968 + 0.941897i
\(331\) −0.793694 10.5911i −0.0436254 0.582140i −0.975591 0.219594i \(-0.929527\pi\)
0.931966 0.362546i \(-0.118092\pi\)
\(332\) 16.1335 + 41.1075i 0.885442 + 2.25607i
\(333\) 10.4735 + 2.39050i 0.573943 + 0.130999i
\(334\) 25.0238 + 1.87527i 1.36924 + 0.102610i
\(335\) −1.92212 6.23135i −0.105017 0.340455i
\(336\) −2.34555 1.12956i −0.127960 0.0616225i
\(337\) 9.86322 5.69453i 0.537284 0.310201i −0.206694 0.978406i \(-0.566270\pi\)
0.743977 + 0.668205i \(0.232937\pi\)
\(338\) 10.1183 17.5255i 0.550365 0.953260i
\(339\) −31.7981 + 21.6796i −1.72704 + 1.17747i
\(340\) 3.58840 + 12.1781i 0.194608 + 0.660451i
\(341\) −27.5779 + 4.15671i −1.49343 + 0.225098i
\(342\) −0.309759 + 0.388425i −0.0167498 + 0.0210036i
\(343\) 11.2486i 0.607367i
\(344\) −19.8202 0.222401i −1.06864 0.0119910i
\(345\) 6.45772i 0.347672i
\(346\) −36.7517 29.3085i −1.97578 1.57564i
\(347\) 0.745623 + 4.94689i 0.0400272 + 0.265563i 0.999889 0.0149110i \(-0.00474650\pi\)
−0.959862 + 0.280474i \(0.909508\pi\)
\(348\) −7.31470 32.0478i −0.392109 1.71794i
\(349\) 3.08223 2.10143i 0.164988 0.112487i −0.478011 0.878354i \(-0.658642\pi\)
0.642999 + 0.765867i \(0.277690\pi\)
\(350\) −26.7895 15.4669i −1.43196 0.826741i
\(351\) −5.12052 + 2.95633i −0.273313 + 0.157797i
\(352\) −7.87953 + 16.3620i −0.419980 + 0.872098i
\(353\) −14.8816 + 4.59037i −0.792068 + 0.244321i −0.664283 0.747481i \(-0.731263\pi\)
−0.127785 + 0.991802i \(0.540787\pi\)
\(354\) −49.5220 3.71116i −2.63207 0.197246i
\(355\) −1.18344 + 5.18498i −0.0628103 + 0.275190i
\(356\) −15.9832 40.7246i −0.847109 2.15840i
\(357\) −30.9703 + 4.26812i −1.63912 + 0.225893i
\(358\) 7.71974 + 1.16356i 0.408001 + 0.0614963i
\(359\) 15.7845 14.6459i 0.833075 0.772981i −0.143159 0.989700i \(-0.545726\pi\)
0.976234 + 0.216719i \(0.0695356\pi\)
\(360\) −2.99713 6.22360i −0.157963 0.328013i
\(361\) −15.6922 10.6987i −0.825904 0.563092i
\(362\) −5.59842 2.19722i −0.294246 0.115483i
\(363\) 0.651766 2.11297i 0.0342089 0.110902i
\(364\) 34.1185 36.7710i 1.78830 1.92733i
\(365\) −4.36268 5.47063i −0.228353 0.286346i
\(366\) 13.5210 + 16.9548i 0.706752 + 0.886239i
\(367\) −16.2708 + 17.5358i −0.849329 + 0.915359i −0.997285 0.0736351i \(-0.976540\pi\)
0.147956 + 0.988994i \(0.452730\pi\)
\(368\) −0.300859 + 0.975360i −0.0156834 + 0.0508442i
\(369\) 22.2560 + 8.73484i 1.15860 + 0.454717i
\(370\) 7.73944 + 5.27666i 0.402354 + 0.274320i
\(371\) 9.55132 + 19.8335i 0.495880 + 1.02971i
\(372\) 45.7607 42.4597i 2.37258 2.20143i
\(373\) −3.49547 0.526858i −0.180989 0.0272797i 0.0579224 0.998321i \(-0.481552\pi\)
−0.238911 + 0.971041i \(0.576790\pi\)
\(374\) −4.48396 32.5365i −0.231860 1.68242i
\(375\) −7.24993 18.4725i −0.374385 0.953916i
\(376\) 8.34159 36.5469i 0.430185 1.88476i
\(377\) 19.7746 + 1.48190i 1.01844 + 0.0763217i
\(378\) −9.05576 + 2.79333i −0.465778 + 0.143673i
\(379\) 9.28908 19.2890i 0.477148 0.990808i −0.513968 0.857809i \(-0.671825\pi\)
0.991116 0.132999i \(-0.0424606\pi\)
\(380\) −0.233895 + 0.135039i −0.0119986 + 0.00692737i
\(381\) −9.33972 5.39229i −0.478488 0.276255i
\(382\) 36.7782 25.0750i 1.88174 1.28295i
\(383\) −1.15536 5.06197i −0.0590362 0.258654i 0.936794 0.349882i \(-0.113778\pi\)
−0.995830 + 0.0912272i \(0.970921\pi\)
\(384\) −6.60939 43.8504i −0.337284 2.23773i
\(385\) −8.15526 6.50360i −0.415630 0.331454i
\(386\) 36.6594i 1.86591i
\(387\) 11.9363 10.8285i 0.606754 0.550446i
\(388\) 0.308635i 0.0156686i
\(389\) 11.3598 14.2447i 0.575964 0.722236i −0.405454 0.914115i \(-0.632887\pi\)
0.981419 + 0.191879i \(0.0614581\pi\)
\(390\) 23.1034 3.48227i 1.16989 0.176332i
\(391\) 3.46448 + 11.7576i 0.175206 + 0.594605i
\(392\) 8.82685 6.01805i 0.445823 0.303957i
\(393\) −16.5013 + 28.5811i −0.832380 + 1.44173i
\(394\) −2.75979 + 1.59337i −0.139036 + 0.0802727i
\(395\) −1.66679 0.802684i −0.0838653 0.0403874i
\(396\) 8.29170 + 26.8810i 0.416674 + 1.35082i
\(397\) −1.76021 0.131910i −0.0883425 0.00662036i 0.0304855 0.999535i \(-0.490295\pi\)
−0.118828 + 0.992915i \(0.537914\pi\)
\(398\) −2.81734 0.643040i −0.141221 0.0322327i
\(399\) −0.242974 0.619088i −0.0121639 0.0309932i
\(400\) 0.106107 + 1.41590i 0.00530536 + 0.0707950i
\(401\) −1.36976 + 9.08775i −0.0684025 + 0.453821i 0.928243 + 0.371975i \(0.121319\pi\)
−0.996645 + 0.0818453i \(0.973919\pi\)
\(402\) −25.6834 27.6801i −1.28097 1.38056i
\(403\) 16.3391 + 33.9285i 0.813909 + 1.69010i
\(404\) −44.3920 30.2660i −2.20859 1.50579i
\(405\) −8.94358 3.51010i −0.444410 0.174418i
\(406\) 30.3714 + 9.36833i 1.50731 + 0.464942i
\(407\) −11.0751 10.2761i −0.548970 0.509370i
\(408\) 19.5323 + 21.5923i 0.966994 + 1.06898i
\(409\) −19.8064 24.8364i −0.979362 1.22808i −0.973638 0.228097i \(-0.926750\pi\)
−0.00572351 0.999984i \(-0.501822\pi\)
\(410\) 15.2819 + 14.1795i 0.754717 + 0.700275i
\(411\) 11.7410 38.0634i 0.579141 1.87753i
\(412\) 4.57997 11.6696i 0.225639 0.574919i
\(413\) 16.8638 24.7347i 0.829814 1.21711i
\(414\) −7.30609 15.1713i −0.359075 0.745627i
\(415\) −8.43370 9.08937i −0.413994 0.446180i
\(416\) 24.2473 + 3.65470i 1.18882 + 0.179186i
\(417\) 1.70208 + 22.7127i 0.0833512 + 1.11224i
\(418\) 0.650396 0.255262i 0.0318119 0.0124852i
\(419\) −36.5048 8.33199i −1.78338 0.407044i −0.801720 0.597700i \(-0.796082\pi\)
−0.981657 + 0.190655i \(0.938939\pi\)
\(420\) 23.2823 + 1.74477i 1.13606 + 0.0851360i
\(421\) 15.9417 4.91737i 0.776952 0.239658i 0.119178 0.992873i \(-0.461974\pi\)
0.657774 + 0.753215i \(0.271498\pi\)
\(422\) 3.62570 7.52885i 0.176497 0.366499i
\(423\) 15.2396 + 26.3958i 0.740976 + 1.28341i
\(424\) 10.2509 17.7550i 0.497826 0.862259i
\(425\) 10.4615 + 13.4642i 0.507458 + 0.653112i
\(426\) 6.85266 + 30.0235i 0.332013 + 1.45464i
\(427\) −12.9267 + 1.94838i −0.625565 + 0.0942887i
\(428\) −26.6301 21.2368i −1.28721 1.02652i
\(429\) −37.6843 −1.81942
\(430\) 13.1377 4.98679i 0.633556 0.240484i
\(431\) 23.2358i 1.11923i 0.828752 + 0.559615i \(0.189051\pi\)
−0.828752 + 0.559615i \(0.810949\pi\)
\(432\) 0.340087 + 0.271210i 0.0163624 + 0.0130486i
\(433\) −29.0085 + 4.37233i −1.39406 + 0.210121i −0.802746 0.596321i \(-0.796628\pi\)
−0.591313 + 0.806442i \(0.701390\pi\)
\(434\) 13.4309 + 58.8444i 0.644702 + 2.82462i
\(435\) 5.19935 + 7.62605i 0.249290 + 0.365641i
\(436\) 17.5946 + 10.1582i 0.842628 + 0.486492i
\(437\) −0.225818 + 0.130376i −0.0108023 + 0.00623673i
\(438\) −36.5046 17.5797i −1.74426 0.839990i
\(439\) −9.47127 30.7051i −0.452039 1.46547i −0.839384 0.543539i \(-0.817084\pi\)
0.387345 0.921935i \(-0.373392\pi\)
\(440\) −0.725972 + 9.68742i −0.0346094 + 0.461830i
\(441\) −1.93285 + 8.46835i −0.0920403 + 0.403255i
\(442\) −40.1961 + 18.7348i −1.91193 + 0.891125i
\(443\) 2.27483 + 30.3555i 0.108080 + 1.44223i 0.742812 + 0.669500i \(0.233491\pi\)
−0.634732 + 0.772732i \(0.718890\pi\)
\(444\) 33.4388 + 5.04009i 1.58694 + 0.239192i
\(445\) 8.35513 + 9.00469i 0.396071 + 0.426863i
\(446\) −3.34012 + 1.60852i −0.158159 + 0.0761656i
\(447\) −4.69184 + 6.88167i −0.221917 + 0.325492i
\(448\) 38.6603 + 15.1731i 1.82653 + 0.716859i
\(449\) 1.96810 6.38043i 0.0928805 0.301111i −0.897198 0.441629i \(-0.854401\pi\)
0.990078 + 0.140518i \(0.0448768\pi\)
\(450\) −17.1709 15.9323i −0.809446 0.751056i
\(451\) −20.9642 26.2883i −0.987165 1.23787i
\(452\) −42.6519 + 34.0137i −2.00618 + 1.59987i
\(453\) 7.88256 8.49538i 0.370355 0.399148i
\(454\) 10.5883 34.3265i 0.496934 1.61102i
\(455\) −5.14562 + 13.1108i −0.241231 + 0.614645i
\(456\) −0.348913 + 0.511761i −0.0163393 + 0.0239654i
\(457\) −7.93809 + 3.82278i −0.371328 + 0.178822i −0.610235 0.792220i \(-0.708925\pi\)
0.238907 + 0.971042i \(0.423211\pi\)
\(458\) −0.869014 + 0.806327i −0.0406064 + 0.0376772i
\(459\) 5.20367 + 0.456218i 0.242886 + 0.0212944i
\(460\) −0.684074 9.12834i −0.0318951 0.425611i
\(461\) 10.5714 + 26.9356i 0.492360 + 1.25451i 0.933984 + 0.357314i \(0.116307\pi\)
−0.441624 + 0.897200i \(0.645598\pi\)
\(462\) −58.8859 13.4403i −2.73962 0.625300i
\(463\) −1.06609 + 14.2260i −0.0495453 + 0.661137i 0.916046 + 0.401073i \(0.131363\pi\)
−0.965591 + 0.260064i \(0.916256\pi\)
\(464\) −0.430009 1.39406i −0.0199627 0.0647174i
\(465\) −7.60500 + 15.7919i −0.352673 + 0.732334i
\(466\) −16.5228 + 9.53943i −0.765403 + 0.441906i
\(467\) 9.63524 16.6887i 0.445866 0.772262i −0.552246 0.833681i \(-0.686229\pi\)
0.998112 + 0.0614189i \(0.0195625\pi\)
\(468\) 31.3836 21.3970i 1.45071 0.989076i
\(469\) 22.1917 5.06512i 1.02472 0.233885i
\(470\) 3.96095 + 26.2792i 0.182705 + 1.21217i
\(471\) 0.210481 + 0.167853i 0.00969847 + 0.00773427i
\(472\) −27.8805 −1.28330
\(473\) −22.1519 + 4.79518i −1.01854 + 0.220483i
\(474\) −10.7124 −0.492035
\(475\) −0.226154 + 0.283588i −0.0103767 + 0.0130119i
\(476\) −43.3261 + 9.31395i −1.98585 + 0.426904i
\(477\) 3.70926 + 16.2513i 0.169835 + 0.744097i
\(478\) −50.4270 + 34.3806i −2.30648 + 1.57253i
\(479\) 7.60165 + 4.38881i 0.347328 + 0.200530i 0.663508 0.748169i \(-0.269067\pi\)
−0.316180 + 0.948699i \(0.602400\pi\)
\(480\) 5.70667 + 9.88425i 0.260473 + 0.451152i
\(481\) −8.85115 + 18.3796i −0.403578 + 0.838037i
\(482\) 7.72939 + 25.0581i 0.352064 + 1.14136i
\(483\) 22.4783 + 1.68451i 1.02280 + 0.0766480i
\(484\) 0.697478 3.05585i 0.0317035 0.138902i
\(485\) 0.0316601 + 0.0806685i 0.00143761 + 0.00366297i
\(486\) −46.7427 + 3.50288i −2.12029 + 0.158894i
\(487\) 3.89333 25.8306i 0.176424 1.17049i −0.708828 0.705382i \(-0.750776\pi\)
0.885251 0.465113i \(-0.153986\pi\)
\(488\) 8.28101 + 8.92481i 0.374864 + 0.404007i
\(489\) 28.0853 13.5252i 1.27006 0.611629i
\(490\) −4.26645 + 6.25773i −0.192739 + 0.282696i
\(491\) −4.47335 + 11.3979i −0.201880 + 0.514381i −0.995579 0.0939297i \(-0.970057\pi\)
0.793699 + 0.608310i \(0.208152\pi\)
\(492\) 71.9168 + 22.1834i 3.24226 + 1.00010i
\(493\) −13.5577 11.0954i −0.610609 0.499710i
\(494\) −0.588209 0.737590i −0.0264648 0.0331858i
\(495\) −4.92470 6.17538i −0.221349 0.277563i
\(496\) 1.88438 2.03087i 0.0846110 0.0911890i
\(497\) −17.7394 5.47187i −0.795720 0.245447i
\(498\) −66.8350 26.2308i −2.99495 1.17543i
\(499\) −6.24573 + 9.16080i −0.279597 + 0.410094i −0.940190 0.340651i \(-0.889353\pi\)
0.660593 + 0.750744i \(0.270305\pi\)
\(500\) −12.2050 25.3439i −0.545824 1.13341i
\(501\) −18.6465 + 17.3014i −0.833064 + 0.772971i
\(502\) 30.6517 + 4.62001i 1.36805 + 0.206201i
\(503\) 42.8587 3.21181i 1.91097 0.143208i 0.934098 0.357018i \(-0.116206\pi\)
0.976875 + 0.213810i \(0.0685874\pi\)
\(504\) 22.4452 8.80908i 0.999787 0.392388i
\(505\) 14.7076 + 3.35690i 0.654477 + 0.149380i
\(506\) −1.76970 + 23.6150i −0.0786728 + 1.04982i
\(507\) 6.04636 + 19.6018i 0.268528 + 0.870547i
\(508\) −13.7734 6.63293i −0.611097 0.294289i
\(509\) −1.20480 2.08678i −0.0534019 0.0924947i 0.838089 0.545534i \(-0.183673\pi\)
−0.891491 + 0.453039i \(0.850340\pi\)
\(510\) −18.4826 9.19055i −0.818424 0.406964i
\(511\) 20.1804 13.7588i 0.892728 0.608652i
\(512\) −0.863310 3.78241i −0.0381533 0.167160i
\(513\) 0.0165620 + 0.109882i 0.000731229 + 0.00485139i
\(514\) −38.5433 + 48.3317i −1.70007 + 2.13182i
\(515\) 3.51992i 0.155106i
\(516\) 34.9209 36.7989i 1.53730 1.61998i
\(517\) 42.8644i 1.88517i
\(518\) −20.3861 + 25.5633i −0.895712 + 1.12319i
\(519\) 47.1172 7.10178i 2.06822 0.311734i
\(520\) 12.7883 2.91884i 0.560803 0.128000i
\(521\) 3.85031 + 5.64737i 0.168685 + 0.247416i 0.901268 0.433262i \(-0.142638\pi\)
−0.732583 + 0.680678i \(0.761685\pi\)
\(522\) 20.8429 + 12.0336i 0.912268 + 0.526698i
\(523\) −10.2950 17.8314i −0.450168 0.779715i 0.548228 0.836329i \(-0.315303\pi\)
−0.998396 + 0.0566145i \(0.981969\pi\)
\(524\) −20.2979 + 42.1490i −0.886717 + 1.84129i
\(525\) 29.9633 9.24247i 1.30771 0.403374i
\(526\) 4.65059 62.0578i 0.202775 2.70585i
\(527\) 5.37425 32.8324i 0.234106 1.43020i
\(528\) 1.01287 + 2.58074i 0.0440794 + 0.112312i
\(529\) 1.05834 + 14.1226i 0.0460149 + 0.614026i
\(530\) −2.16626 + 14.3722i −0.0940964 + 0.624289i
\(531\) 16.6173 15.4186i 0.721131 0.669111i
\(532\) −0.409038 0.849377i −0.0177341 0.0368251i
\(533\) −25.5752 + 37.5119i −1.10779 + 1.62482i
\(534\) 66.2124 + 25.9864i 2.86529 + 1.12454i
\(535\) 9.13884 + 2.81896i 0.395107 + 0.121874i
\(536\) −15.5401 14.4191i −0.671230 0.622810i
\(537\) −6.18710 + 4.93405i −0.266993 + 0.212920i
\(538\) −12.5639 + 10.0194i −0.541668 + 0.431966i
\(539\) 8.30880 8.95475i 0.357885 0.385708i
\(540\) −3.72775 1.14986i −0.160417 0.0494821i
\(541\) 9.52125 + 3.73681i 0.409350 + 0.160658i 0.561076 0.827765i \(-0.310388\pi\)
−0.151725 + 0.988423i \(0.548483\pi\)
\(542\) −50.0225 34.1047i −2.14865 1.46492i
\(543\) 5.49259 2.64509i 0.235710 0.113512i
\(544\) −15.6929 14.9347i −0.672828 0.640319i
\(545\) −5.64078 0.850210i −0.241624 0.0364190i
\(546\) 6.09466 + 81.3275i 0.260827 + 3.48050i
\(547\) 30.4895 11.9662i 1.30364 0.511639i 0.390992 0.920394i \(-0.372132\pi\)
0.912644 + 0.408755i \(0.134037\pi\)
\(548\) 12.5645 55.0485i 0.536727 2.35155i
\(549\) −9.87130 0.739752i −0.421297 0.0315718i
\(550\) 9.70987 + 31.4786i 0.414030 + 1.34225i
\(551\) 0.161702 0.335778i 0.00688874 0.0143046i
\(552\) −10.4966 18.1807i −0.446765 0.773820i
\(553\) 3.22880 5.59245i 0.137303 0.237815i
\(554\) −5.64971 8.28661i −0.240033 0.352064i
\(555\) −9.25698 + 2.11285i −0.392937 + 0.0896853i
\(556\) 4.81197 + 31.9253i 0.204073 + 1.35393i
\(557\) 2.65237 3.32597i 0.112384 0.140926i −0.722458 0.691415i \(-0.756988\pi\)
0.834842 + 0.550490i \(0.185559\pi\)
\(558\) 45.7045i 1.93483i
\(559\) 15.0034 + 26.6734i 0.634575 + 1.12816i
\(560\) 1.03617 0.0437864
\(561\) 27.2683 + 19.1009i 1.15127 + 0.806441i
\(562\) −26.8240 + 4.04306i −1.13150 + 0.170546i
\(563\) −5.36583 23.5093i −0.226143 0.990797i −0.952753 0.303747i \(-0.901762\pi\)
0.726610 0.687050i \(-0.241095\pi\)
\(564\) 54.0468 + 79.2720i 2.27578 + 3.33795i
\(565\) 7.65885 13.2655i 0.322210 0.558084i
\(566\) 50.0526 28.8979i 2.10387 1.21467i
\(567\) 14.5510 30.2156i 0.611086 1.26893i
\(568\) 5.09608 + 16.5211i 0.213827 + 0.693209i
\(569\) 2.82142 37.6492i 0.118280 1.57834i −0.550472 0.834853i \(-0.685552\pi\)
0.668753 0.743485i \(-0.266829\pi\)
\(570\) 0.0977111 0.428100i 0.00409267 0.0179311i
\(571\) −7.44690 + 2.92269i −0.311643 + 0.122311i −0.516008 0.856584i \(-0.672582\pi\)
0.204365 + 0.978895i \(0.434487\pi\)
\(572\) −53.2689 + 3.99195i −2.22728 + 0.166912i
\(573\) −6.72493 + 44.6170i −0.280938 + 1.86390i
\(574\) −53.3429 + 49.4949i −2.22649 + 2.06588i
\(575\) −5.33416 11.0765i −0.222450 0.461921i
\(576\) 25.9840 + 17.7156i 1.08267 + 0.738150i
\(577\) −6.19426 + 15.7827i −0.257871 + 0.657044i −0.999911 0.0133111i \(-0.995763\pi\)
0.742041 + 0.670355i \(0.233858\pi\)
\(578\) 38.5819 + 6.81755i 1.60480 + 0.283573i
\(579\) −27.2404 25.2754i −1.13207 1.05041i
\(580\) 8.15741 + 10.2291i 0.338718 + 0.424739i
\(581\) 33.8386 26.9854i 1.40386 1.11954i
\(582\) 0.367843 + 0.341308i 0.0152476 + 0.0141477i
\(583\) 6.90988 22.4013i 0.286178 0.927766i
\(584\) −21.1746 8.31041i −0.876210 0.343887i
\(585\) −6.00787 + 8.81193i −0.248395 + 0.364329i
\(586\) −39.9795 + 19.2531i −1.65154 + 0.795339i
\(587\) −21.1575 + 19.6313i −0.873264 + 0.810271i −0.982984 0.183692i \(-0.941195\pi\)
0.109720 + 0.993963i \(0.465005\pi\)
\(588\) −4.07517 + 27.0370i −0.168057 + 1.11499i
\(589\) 0.705762 0.0528896i 0.0290804 0.00217928i
\(590\) 18.3993 7.22121i 0.757489 0.297293i
\(591\) 0.718804 3.14928i 0.0295676 0.129544i
\(592\) 1.49659 + 0.112154i 0.0615096 + 0.00460950i
\(593\) −31.0229 + 9.56931i −1.27396 + 0.392964i −0.856696 0.515821i \(-0.827487\pi\)
−0.417263 + 0.908786i \(0.637011\pi\)
\(594\) 9.09263 + 4.37878i 0.373075 + 0.179663i
\(595\) 10.3688 6.87884i 0.425080 0.282005i
\(596\) −5.90320 + 10.2246i −0.241804 + 0.418817i
\(597\) 2.42028 1.65012i 0.0990556 0.0675349i
\(598\) 31.1740 7.11525i 1.27480 0.290964i
\(599\) 12.1945 1.83802i 0.498252 0.0750994i 0.104891 0.994484i \(-0.466551\pi\)
0.393361 + 0.919384i \(0.371312\pi\)
\(600\) −22.8318 18.2077i −0.932103 0.743328i
\(601\) 16.9432i 0.691129i −0.938395 0.345564i \(-0.887687\pi\)
0.938395 0.345564i \(-0.112313\pi\)
\(602\) 13.9312 + 47.0310i 0.567794 + 1.91684i
\(603\) 17.2363 0.701918
\(604\) 10.2425 12.8437i 0.416762 0.522603i
\(605\) 0.131171 + 0.870261i 0.00533285 + 0.0353812i
\(606\) 85.1637 19.4381i 3.45954 0.789617i
\(607\) −6.17159 9.05206i −0.250497 0.367412i 0.680309 0.732926i \(-0.261846\pi\)
−0.930806 + 0.365514i \(0.880893\pi\)
\(608\) 0.230426 0.399109i 0.00934501 0.0161860i
\(609\) −27.9013 + 16.1088i −1.13062 + 0.652763i
\(610\) −7.77652 3.74498i −0.314862 0.151630i
\(611\) −55.3064 + 17.0598i −2.23746 + 0.690165i
\(612\) −33.5546 0.424456i −1.35636 0.0171576i
\(613\) −6.04313 + 26.4767i −0.244080 + 1.06938i 0.693184 + 0.720761i \(0.256207\pi\)
−0.937264 + 0.348622i \(0.886650\pi\)
\(614\) −10.3976 26.4926i −0.419612 1.06915i
\(615\) −21.0726 + 1.57918i −0.849730 + 0.0636785i
\(616\) −33.5310 5.05398i −1.35100 0.203631i
\(617\) −16.8512 18.1613i −0.678405 0.731147i 0.296188 0.955130i \(-0.404284\pi\)
−0.974593 + 0.223983i \(0.928094\pi\)
\(618\) 8.84341 + 18.3635i 0.355734 + 0.738690i
\(619\) 14.3831 21.0961i 0.578106 0.847926i −0.420120 0.907469i \(-0.638012\pi\)
0.998226 + 0.0595430i \(0.0189643\pi\)
\(620\) −9.07723 + 23.1284i −0.364550 + 0.928859i
\(621\) −3.59902 1.11015i −0.144424 0.0445488i
\(622\) −42.0165 + 45.2830i −1.68471 + 1.81568i
\(623\) −33.5234 + 26.7340i −1.34308 + 1.07107i
\(624\) 2.92673 2.33399i 0.117163 0.0934343i
\(625\) −9.36755 8.69182i −0.374702 0.347673i
\(626\) −6.99176 + 22.6667i −0.279447 + 0.905944i
\(627\) −0.258749 + 0.659282i −0.0103334 + 0.0263292i
\(628\) 0.315308 + 0.214973i 0.0125822 + 0.00857837i
\(629\) 15.7207 8.81311i 0.626824 0.351402i
\(630\) −12.5308 + 11.6269i −0.499238 + 0.463225i
\(631\) 24.4598 + 3.68671i 0.973727 + 0.146766i 0.616589 0.787286i \(-0.288514\pi\)
0.357139 + 0.934051i \(0.383752\pi\)
\(632\) −5.99729 + 0.449435i −0.238560 + 0.0178776i
\(633\) 3.09464 + 7.88502i 0.123001 + 0.313402i
\(634\) 27.9652 + 6.38288i 1.11064 + 0.253496i
\(635\) 4.28040 + 0.320772i 0.169863 + 0.0127294i
\(636\) 15.4664 + 50.1407i 0.613281 + 1.98821i
\(637\) −14.8609 7.15661i −0.588808 0.283555i
\(638\) −16.9235 29.3123i −0.670007 1.16049i
\(639\) −12.1739 7.02863i −0.481594 0.278048i
\(640\) 9.94270 + 14.5833i 0.393020 + 0.576454i
\(641\) −9.49176 + 2.16643i −0.374902 + 0.0855689i −0.405820 0.913953i \(-0.633014\pi\)
0.0309181 + 0.999522i \(0.490157\pi\)
\(642\) 54.7600 8.25374i 2.16120 0.325749i
\(643\) −29.4919 23.5190i −1.16305 0.927498i −0.164778 0.986331i \(-0.552691\pi\)
−0.998268 + 0.0588321i \(0.981262\pi\)
\(644\) 31.9527 1.25911
\(645\) −5.35247 + 13.2004i −0.210753 + 0.519766i
\(646\) 0.0517676 + 0.831862i 0.00203677 + 0.0327292i
\(647\) 6.64253 8.32947i 0.261145 0.327465i −0.633922 0.773397i \(-0.718556\pi\)
0.895067 + 0.445932i \(0.147128\pi\)
\(648\) −30.8847 + 4.65511i −1.21326 + 0.182870i
\(649\) −31.0807 + 7.09398i −1.22003 + 0.278463i
\(650\) 36.7513 25.0566i 1.44150 0.982801i
\(651\) −52.9855 30.5912i −2.07666 1.19896i
\(652\) 38.2674 22.0937i 1.49867 0.865255i
\(653\) 3.27097 6.79225i 0.128003 0.265801i −0.827111 0.562038i \(-0.810017\pi\)
0.955115 + 0.296237i \(0.0957318\pi\)
\(654\) −31.5642 + 9.73627i −1.23426 + 0.380718i
\(655\) 0.981614 13.0987i 0.0383548 0.511810i
\(656\) 3.25634 + 0.743238i 0.127139 + 0.0290186i
\(657\) 17.2163 6.75692i 0.671674 0.263612i
\(658\) −92.5068 + 6.93242i −3.60629 + 0.270254i
\(659\) 5.04561 + 0.760504i 0.196549 + 0.0296250i 0.246579 0.969123i \(-0.420694\pi\)
−0.0500298 + 0.998748i \(0.515932\pi\)
\(660\) −16.9114 18.2262i −0.658276 0.709453i
\(661\) 34.0288 16.3874i 1.32357 0.637396i 0.367358 0.930080i \(-0.380262\pi\)
0.956209 + 0.292683i \(0.0945481\pi\)
\(662\) 20.2243 + 13.7887i 0.786042 + 0.535914i
\(663\) 13.7926 42.7854i 0.535660 1.66165i
\(664\) −38.5179 11.8812i −1.49479 0.461080i
\(665\) 0.194041 + 0.180044i 0.00752459 + 0.00698180i
\(666\) −19.3572 + 15.4369i −0.750077 + 0.598167i
\(667\) 7.87570 + 9.87582i 0.304948 + 0.382393i
\(668\) −24.5251 + 26.4318i −0.948905 + 1.02268i
\(669\) 1.10766 3.59095i 0.0428247 0.138834i
\(670\) 13.9901 + 5.49071i 0.540485 + 0.212125i
\(671\) 11.5024 + 7.84220i 0.444045 + 0.302745i
\(672\) −35.8941 + 17.2857i −1.38464 + 0.666809i
\(673\) −24.2879 26.1762i −0.936231 1.00902i −0.999939 0.0110481i \(-0.996483\pi\)
0.0637083 0.997969i \(-0.479707\pi\)
\(674\) −3.91209 + 25.9550i −0.150688 + 0.999750i
\(675\) −5.22458 + 0.391528i −0.201094 + 0.0150699i
\(676\) 10.6233 + 27.0678i 0.408589 + 1.04107i
\(677\) 26.6393 + 6.08024i 1.02383 + 0.233683i 0.701293 0.712874i \(-0.252607\pi\)
0.322539 + 0.946556i \(0.395464\pi\)
\(678\) 6.62831 88.4487i 0.254559 3.39685i
\(679\) −0.289053 + 0.0891610i −0.0110928 + 0.00342168i
\(680\) −10.7330 4.36987i −0.411593 0.167577i
\(681\) 18.2066 + 31.5348i 0.697678 + 1.20841i
\(682\) 32.1382 55.6650i 1.23063 2.13152i
\(683\) 25.7348 + 37.7460i 0.984715 + 1.44431i 0.893807 + 0.448452i \(0.148024\pi\)
0.0909075 + 0.995859i \(0.471023\pi\)
\(684\) −0.158850 0.695968i −0.00607379 0.0266110i
\(685\) 2.36293 + 15.6770i 0.0902829 + 0.598988i
\(686\) 20.2685 + 16.1636i 0.773857 + 0.617130i
\(687\) 1.20167i 0.0458466i
\(688\) 1.42342 1.74440i 0.0542674 0.0665045i
\(689\) −31.6537 −1.20591
\(690\) 11.6360 + 9.27939i 0.442975 + 0.353260i
\(691\) 5.39192 + 35.7731i 0.205118 + 1.36087i 0.820050 + 0.572292i \(0.193945\pi\)
−0.614932 + 0.788580i \(0.710816\pi\)
\(692\) 65.8505 15.0300i 2.50326 0.571353i
\(693\) 22.7801 15.5312i 0.865346 0.589983i
\(694\) −9.98509 5.76489i −0.379029 0.218832i
\(695\) −4.53264 7.85077i −0.171933 0.297797i
\(696\) 27.0336 + 13.0187i 1.02471 + 0.493472i
\(697\) 37.5197 14.1804i 1.42116 0.537121i
\(698\) −0.642491 + 8.57344i −0.0243186 + 0.324510i
\(699\) 4.30345 18.8546i 0.162771 0.713148i
\(700\) 41.3758 16.2388i 1.56386 0.613769i
\(701\) 0.107615 + 1.43602i 0.00406454 + 0.0542376i 0.998867 0.0475837i \(-0.0151521\pi\)
−0.994803 + 0.101821i \(0.967533\pi\)
\(702\) 2.03097 13.4746i 0.0766541 0.508567i
\(703\) 0.260774 + 0.281048i 0.00983529 + 0.0105999i
\(704\) −19.1896 39.8477i −0.723236 1.50182i
\(705\) −22.2581 15.1753i −0.838289 0.571536i
\(706\) 13.1128 33.4109i 0.493507 1.25744i
\(707\) −15.5213 + 50.3190i −0.583740 + 1.89244i
\(708\) 48.5351 52.3084i 1.82406 1.96587i
\(709\) −11.6380 + 9.28098i −0.437074 + 0.348555i −0.817174 0.576390i \(-0.804461\pi\)
0.380101 + 0.924945i \(0.375889\pi\)
\(710\) −7.64214 9.58294i −0.286805 0.359641i
\(711\) 3.32596 3.58453i 0.124733 0.134430i
\(712\) 38.1591 + 11.7705i 1.43007 + 0.441119i
\(713\) −8.76375 + 22.3297i −0.328205 + 0.836253i
\(714\) 36.8121 61.9377i 1.37766 2.31796i
\(715\) 13.5135 6.50776i 0.505376 0.243376i
\(716\) −8.22314 + 7.62996i −0.307313 + 0.285145i
\(717\) 9.22063 61.1749i 0.344351 2.28462i
\(718\) 3.70854 + 49.4871i 0.138402 + 1.84684i
\(719\) −13.3153 + 5.22587i −0.496577 + 0.194892i −0.600394 0.799704i \(-0.704990\pi\)
0.103817 + 0.994596i \(0.466894\pi\)
\(720\) 0.764947 + 0.174594i 0.0285079 + 0.00650674i
\(721\) −12.2523 0.918180i −0.456298 0.0341948i
\(722\) 41.8266 12.9018i 1.55663 0.480155i
\(723\) −23.9490 11.5332i −0.890672 0.428925i
\(724\) 7.48389 4.32082i 0.278136 0.160582i
\(725\) 15.2173 + 8.78572i 0.565157 + 0.326293i
\(726\) 2.87076 + 4.21063i 0.106544 + 0.156271i
\(727\) −9.60913 42.1003i −0.356383 1.56142i −0.762126 0.647428i \(-0.775844\pi\)
0.405743 0.913987i \(-0.367013\pi\)
\(728\) 6.82416 + 45.2753i 0.252920 + 1.67802i
\(729\) 10.2974 12.9125i 0.381385 0.478241i
\(730\) 16.1263 0.596862
\(731\) 2.66340 26.9055i 0.0985093 0.995136i
\(732\) −31.1602 −1.15172
\(733\) −29.9111 + 37.5073i −1.10479 + 1.38536i −0.189833 + 0.981816i \(0.560795\pi\)
−0.914959 + 0.403548i \(0.867777\pi\)
\(734\) −8.21695 54.5159i −0.303293 2.01222i
\(735\) −1.70835 7.48475i −0.0630133 0.276079i
\(736\) 8.79901 + 12.9058i 0.324336 + 0.475713i
\(737\) −20.9927 12.1201i −0.773275 0.446451i
\(738\) −47.7198 + 27.5510i −1.75659 + 1.01417i
\(739\) 22.3664 + 10.7711i 0.822763 + 0.396222i 0.797396 0.603456i \(-0.206210\pi\)
0.0253671 + 0.999678i \(0.491925\pi\)
\(740\) −12.8614 + 3.96723i −0.472796 + 0.145838i
\(741\) 0.953629 + 0.0714646i 0.0350324 + 0.00262532i
\(742\) −49.4623 11.2894i −1.81582 0.414448i
\(743\) 26.9194 10.5651i 0.987577 0.387596i 0.184085 0.982910i \(-0.441068\pi\)
0.803493 + 0.595315i \(0.202973\pi\)
\(744\) 4.25816 + 56.8211i 0.156112 + 2.08316i
\(745\) 0.494077 3.27799i 0.0181016 0.120096i
\(746\) 5.97214 5.54134i 0.218656 0.202883i
\(747\) 29.5281 14.2200i 1.08038 0.520281i
\(748\) 40.5687 + 24.1116i 1.48334 + 0.881608i
\(749\) −12.1962 + 31.0755i −0.445641 + 1.13547i
\(750\) 43.7029 + 13.4806i 1.59580 + 0.492241i
\(751\) −27.7250 + 29.8805i −1.01170 + 1.09035i −0.0158015 + 0.999875i \(0.505030\pi\)
−0.995898 + 0.0904781i \(0.971160\pi\)
\(752\) 2.65482 + 3.32903i 0.0968112 + 0.121397i