Properties

Label 731.2.z.a.67.8
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 67.8
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.8

$q$-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} +(2.52973 - 3.25583i) 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} +(2.23151 + 9.23672i) 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} +(8.40205 + 4.71024i) 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} +(-12.3757 - 5.76815i) 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 \(0.187976\pi\)
−0.629611 + 0.776911i \(0.716786\pi\)
\(4\) −0.736893 3.22854i −0.368447 1.61427i
\(5\) −0.523790 0.768259i −0.234246 0.343576i 0.691060 0.722798i \(-0.257144\pi\)
−0.925306 + 0.379222i \(0.876192\pi\)
\(6\) −4.66280 2.69207i −1.90358 1.09903i
\(7\) 2.81082 1.62283i 1.06239 0.613371i 0.136297 0.990668i \(-0.456480\pi\)
0.926092 + 0.377297i \(0.123147\pi\)
\(8\) 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 −0.318078 0.948064i \(-0.603038\pi\)
−0.697929 + 0.716167i \(0.745895\pi\)
\(12\) 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
\(17\) 2.52973 3.25583i 0.613551 0.789655i
\(18\) 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 −0.907767 0.419476i \(-0.862214\pi\)
0.486140 + 0.873881i \(0.338404\pi\)
\(24\) −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 \(-0.823295\pi\)
0.967427 0.253150i \(-0.0814668\pi\)
\(30\) 0.374122 + 4.99231i 0.0683050 + 0.911467i
\(31\) 7.51121 2.94793i 1.34905 0.529465i 0.422752 0.906246i \(-0.361064\pi\)
0.926302 + 0.376781i \(0.122969\pi\)
\(32\) −1.16917 + 5.12246i −0.206682 + 0.905532i
\(33\) 0.603421 8.05210i 0.105042 1.40169i
\(34\) 2.23151 + 9.23672i 0.382700 + 1.58408i
\(35\) −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 0.777775 0.628542i \(-0.216348\pi\)
−0.155446 + 0.987844i \(0.549681\pi\)
\(38\) 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 0.999393 0.0348355i \(-0.0110907\pi\)
0.188424 + 0.982088i \(0.439662\pi\)
\(42\) −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
\(51\) 8.40205 + 4.71024i 1.17652 + 0.659566i
\(52\) −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 0.112961 0.993599i \(-0.463966\pi\)
−0.593013 + 0.805193i \(0.702062\pi\)
\(62\) −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 \(0.736161\pi\)
\(68\) −12.3757 5.76815i −1.50078 0.699491i
\(69\) −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 0.458688 0.888598i \(-0.348320\pi\)
−0.920391 + 0.391000i \(0.872129\pi\)
\(72\) −7.34602 1.10723i −0.865737 0.130489i
\(73\) 7.50423 0.562364i 0.878303 0.0658197i 0.372058 0.928209i \(-0.378652\pi\)
0.506245 + 0.862390i \(0.331033\pi\)
\(74\) −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 −0.399929 0.916546i \(-0.630965\pi\)
0.593788 + 0.804622i \(0.297632\pi\)
\(80\) 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 0.217906 0.975970i \(-0.430078\pi\)
−0.227131 + 0.973864i \(0.572935\pi\)
\(98\) 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 \(-0.0371075\pi\)
\(102\) −20.5606 + 8.37107i −2.03580 + 0.828860i
\(103\) 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 −0.929675 0.368380i \(-0.879913\pi\)
0.152271 + 0.988339i \(0.451341\pi\)
\(108\) 3.28016 2.61584i 0.315633 0.251709i
\(109\) 4.17286 4.49728i 0.399688 0.430761i −0.500853 0.865532i \(-0.666980\pi\)
0.900541 + 0.434771i \(0.143171\pi\)
\(110\) −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 \(0.139322\pi\)
−0.233336 + 0.972396i \(0.574964\pi\)
\(114\) 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
\(119\) 1.82697 13.2569i 0.167478 1.21526i
\(120\) 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 0.973092 0.230416i \(-0.0740089\pi\)
−0.00810610 + 0.999967i \(0.502580\pi\)
\(132\) −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
\(136\) 11.1596 5.54914i 0.956926 0.475835i
\(137\) 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 0.480355 0.877074i \(-0.340508\pi\)
0.344269 + 0.938871i \(0.388127\pi\)
\(140\) −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
\(153\) −3.58251 + 9.47893i −0.289629 + 0.766326i
\(154\) 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 \(-0.920213\pi\)
0.660692 0.750657i \(-0.270263\pi\)
\(164\) 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 0.986657 0.162816i \(-0.0520575\pi\)
−0.512027 + 0.858969i \(0.671105\pi\)
\(168\) 5.10011 + 22.3450i 0.393482 + 1.72396i
\(169\) −8.68260 + 1.30869i −0.667893 + 0.100669i
\(170\) 5.92735 6.55248i 0.454607 0.502552i
\(171\) 0.215567 0.0164849
\(172\) 13.3480 + 17.1286i 1.01777 + 1.30605i
\(173\) 20.3964i 1.55071i −0.631527 0.775354i \(-0.717571\pi\)
0.631527 0.775354i \(-0.282429\pi\)
\(174\) −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 0.922482 0.386040i \(-0.126157\pi\)
−0.979654 + 0.200692i \(0.935681\pi\)
\(182\) 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
\(187\) −11.0286 + 9.02557i −0.806491 + 0.660015i
\(188\) −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 −0.958796 0.284095i \(-0.908307\pi\)
0.0636201 + 0.997974i \(0.479735\pi\)
\(194\) 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 0.319045 0.947740i \(-0.396638\pi\)
−0.410750 + 0.911748i \(0.634733\pi\)
\(198\) −11.0285 + 16.1758i −0.783759 + 1.14956i
\(199\) −0.544038 1.12971i −0.0385658 0.0800828i 0.880796 0.473496i \(-0.157008\pi\)
−0.919362 + 0.393414i \(0.871294\pi\)
\(200\) 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
\(204\) 9.01579 30.5973i 0.631232 2.14224i
\(205\) 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 −0.0991040 0.995077i \(-0.531598\pi\)
0.342458 + 0.939533i \(0.388740\pi\)
\(212\) −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
\(221\) −16.0347 10.6377i −1.07861 0.715568i
\(222\) −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 0.168838 0.985644i \(-0.445999\pi\)
0.794175 + 0.607689i \(0.207903\pi\)
\(228\) −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 0.0992327 0.995064i \(-0.468361\pi\)
−0.604073 + 0.796929i \(0.706456\pi\)
\(234\) −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
\(238\) 21.2619 + 22.3414i 1.37821 + 1.44818i
\(239\) 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 −0.975196 0.221342i \(-0.928956\pi\)
0.562321 + 0.826919i \(0.309909\pi\)
\(242\) −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
\(255\) −0.782225 8.92212i −0.0489848 0.558725i
\(256\) −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 0.0101991 0.999948i \(-0.496753\pi\)
−0.424672 + 0.905347i \(0.639611\pi\)
\(270\) 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 \(0.682149\pi\)
\(272\) −0.297528 + 1.38402i −0.0180403 + 0.0839187i
\(273\) 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 −0.908837 0.417152i \(-0.863028\pi\)
0.985906 + 0.167299i \(0.0535046\pi\)
\(278\) −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 0.937391 0.348279i \(-0.113234\pi\)
0.450266 + 0.892894i \(0.351329\pi\)
\(284\) −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
\(289\) −4.20089 16.4728i −0.247111 0.968987i
\(290\) 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
\(306\) −11.9320 20.0760i −0.682105 1.14767i
\(307\) −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 −0.709241 0.704966i \(-0.750962\pi\)
−0.806389 + 0.591386i \(0.798581\pi\)
\(312\) 32.1303 + 7.33353i 1.81902 + 0.415179i
\(313\) −9.58086 + 3.76021i −0.541542 + 0.212540i −0.620315 0.784353i \(-0.712995\pi\)
0.0787727 + 0.996893i \(0.474900\pi\)
\(314\) −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 0.995795 0.0916093i \(-0.0292011\pi\)
−0.692491 + 0.721426i \(0.743487\pi\)
\(318\) −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
\(323\) −0.296202 + 0.207484i −0.0164811 + 0.0115447i
\(324\) 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 −0.743977 0.668205i \(-0.767063\pi\)
0.206694 + 0.978406i \(0.433730\pi\)
\(338\) 10.1183 17.5255i 0.550365 0.953260i
\(339\) −31.7981 + 21.6796i −1.72704 + 1.17747i
\(340\) 2.05085 + 12.5291i 0.111223 + 0.679483i
\(341\) −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 0.959862 0.280474i \(-0.0904916\pi\)
−0.999889 + 0.0149110i \(0.995253\pi\)
\(348\) −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
\(357\) 31.2605 0.395437i 1.65448 0.0209288i
\(358\) 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 −0.147956 0.988994i \(-0.547270\pi\)
0.997285 + 0.0736351i \(0.0234600\pi\)
\(368\) 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 \(0.576790\pi\)
\(374\) −0.415435 32.8414i −0.0214816 1.69819i
\(375\) −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 \(0.328175\pi\)
−0.991116 + 0.132999i \(0.957539\pi\)
\(380\) 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
\(391\) 1.98003 + 12.0964i 0.100134 + 0.611740i
\(392\) 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 0.118828 0.992915i \(-0.462086\pi\)
−0.0304855 + 0.999535i \(0.509705\pi\)
\(398\) 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 \(-0.878681\pi\)
0.996645 0.0818453i \(-0.0260813\pi\)
\(402\) 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
\(408\) 16.7046 + 23.8473i 0.827000 + 1.18062i
\(409\) −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 0.981657 0.190655i \(-0.0610613\pi\)
0.801720 + 0.597700i \(0.203918\pi\)
\(420\) −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
\(425\) −8.71149 14.6574i −0.422569 0.710988i
\(426\) 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 \(-0.810949\pi\)
0.828752 0.559615i \(-0.189051\pi\)
\(432\) −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 \(0.182916\pi\)
−0.387345 + 0.921935i \(0.626608\pi\)
\(440\) −0.725972 + 9.68742i −0.0346094 + 0.461830i
\(441\) −1.93285 + 8.46835i −0.0920403 + 0.403255i
\(442\) 42.2088 13.6067i 2.00767 0.647205i
\(443\) 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 −0.990078 0.140518i \(-0.955123\pi\)
0.897198 + 0.441629i \(0.145599\pi\)
\(450\) −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
\(459\) 5.10695 + 1.09786i 0.238372 + 0.0512436i
\(460\) −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
\(476\) −44.1466 + 3.87044i −2.02346 + 0.177401i
\(477\) 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 0.316180 0.948699i \(-0.397600\pi\)
−0.663508 + 0.748169i \(0.730933\pi\)
\(480\) 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 \(0.249224\pi\)
−0.885251 + 0.465113i \(0.846014\pi\)
\(488\) −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
\(493\) −12.0775 12.6907i −0.543943 0.571559i
\(494\) −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 −0.660593 0.750744i \(-0.729695\pi\)
0.940190 + 0.340651i \(0.110647\pi\)
\(500\) 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 −0.976875 0.213810i \(-0.931413\pi\)
−0.934098 + 0.357018i \(0.883794\pi\)
\(504\) −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 \(0.850340\pi\)
\(510\) 17.2006 + 11.4111i 0.761654 + 0.505294i
\(511\) 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 0.732583 0.680678i \(-0.238315\pi\)
−0.901268 + 0.433262i \(0.857362\pi\)
\(522\) −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
\(527\) 9.40340 31.9127i 0.409619 1.39014i
\(528\) 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 0.151725 0.988423i \(-0.451517\pi\)
−0.561076 + 0.827765i \(0.689612\pi\)
\(542\) −50.0225 34.1047i −2.14865 1.46492i
\(543\) 5.49259 2.64509i 0.235710 0.113512i
\(544\) 13.7202 + 16.7651i 0.588249 + 0.718797i
\(545\) −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 −0.912644 0.408755i \(-0.865963\pi\)
−0.390992 + 0.920394i \(0.627868\pi\)
\(548\) 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
\(561\) −24.6898 22.3343i −1.04240 0.942955i
\(562\) −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 −0.204365 0.978895i \(-0.565513\pi\)
0.516008 + 0.856584i \(0.327418\pi\)
\(572\) 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 \(0.233858\pi\)
\(578\) 35.7183 + 16.1010i 1.48569 + 0.669715i
\(579\) −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
\(595\) −11.1417 + 5.54023i −0.456763 + 0.227127i
\(596\) −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 \(0.112313\pi\)
−0.938395 + 0.345564i \(0.887687\pi\)
\(602\) −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 0.930806 0.365514i \(-0.119107\pi\)
−0.680309 + 0.732926i \(0.738154\pi\)
\(608\) 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
\(612\) 33.2430 + 4.58133i 1.34377 + 0.185189i
\(613\) −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 0.974593 0.223983i \(-0.0719060\pi\)
−0.296188 + 0.955130i \(0.595716\pi\)
\(618\) −8.84341 18.3635i −0.355734 0.738690i
\(619\) −14.3831 + 21.0961i −0.578106 + 0.847926i −0.998226 0.0595430i \(-0.981036\pi\)
0.420120 + 0.907469i \(0.361988\pi\)
\(620\) −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
\(629\) 16.6920 6.79603i 0.665555 0.270976i
\(630\) −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 −0.0309181 0.999522i \(-0.509843\pi\)
0.405820 + 0.913953i \(0.366986\pi\)
\(642\) 54.7600 8.25374i 2.16120 0.325749i
\(643\) 29.4919 + 23.5190i 1.16305 + 0.927498i 0.998268 0.0588321i \(-0.0187377\pi\)
0.164778 + 0.986331i \(0.447309\pi\)
\(644\) 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 −0.955115 0.296237i \(-0.904268\pi\)
0.827111 + 0.562038i \(0.189983\pi\)
\(654\) −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
\(663\) 18.9908 40.7453i 0.737541 1.58242i
\(664\) −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 \(0.00351680\pi\)
−0.0637083 + 0.997969i \(0.520293\pi\)
\(674\) 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 −0.322539 0.946556i \(-0.604536\pi\)
−0.701293 + 0.712874i \(0.747393\pi\)
\(678\) 6.62831 88.4487i 0.254559 3.39685i
\(679\) −0.289053 + 0.0891610i −0.0110928 + 0.00342168i
\(680\) −10.1084 5.66686i −0.387641 0.217314i
\(681\) 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 \(-0.851976\pi\)
−0.0909075 0.995859i \(-0.528977\pi\)
\(684\) −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 \(-0.806055\pi\)
0.614932 0.788580i \(-0.289184\pi\)
\(692\) −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
\(697\) 38.9883 9.41922i 1.47679 0.356778i
\(698\) −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 −0.380101 0.924945i \(-0.624111\pi\)
0.817174 + 0.576390i \(0.195539\pi\)
\(710\) −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
\(714\) −44.2072 + 56.8958i −1.65441 + 2.12927i
\(715\) 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 −0.103817 0.994596i \(-0.533106\pi\)
0.600394 + 0.799704i \(0.295010\pi\)
\(720\) −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
\(731\) −5.97864 + 26.3677i −0.221128 + 0.975245i
\(732\) −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 −0.803493 0.595315i \(-0.797027\pi\)
−0.184085 + 0.982910i \(0.558932\pi\)
\(744\) 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
\(748\) 37.2663 + 28.9554i 1.36259 + 1.05871i
\(749\) −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 \(-0.494970\pi\)
0.995898 0.0904781i \(-0.0288395\pi\)
\(752\) 2.65482 + 3.32903i