Properties

Label 280.2.bj.e.131.3
Level $280$
Weight $2$
Character 280.131
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.3
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.e.171.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.31025 - 0.532213i) q^{2} +(-0.502680 + 0.290223i) q^{3} +(1.43350 + 1.39466i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.813096 - 0.112730i) q^{6} +(2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 + 2.30630i) q^{9} +O(q^{10})\) \(q+(-1.31025 - 0.532213i) q^{2} +(-0.502680 + 0.290223i) q^{3} +(1.43350 + 1.39466i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.813096 - 0.112730i) q^{6} +(2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 + 2.30630i) q^{9} +(-1.11603 + 0.868601i) q^{10} +(0.428852 + 0.742794i) q^{11} +(-1.12535 - 0.285036i) q^{12} -2.26075 q^{13} +(-3.58537 - 1.07012i) q^{14} +0.580445i q^{15} +(0.109831 + 3.99849i) q^{16} +(6.65461 - 3.84204i) q^{17} +(2.97209 - 2.31316i) q^{18} +(5.17016 + 2.98499i) q^{19} +(1.92456 - 0.544114i) q^{20} +(-1.25044 + 0.891530i) q^{21} +(-0.166578 - 1.20148i) q^{22} +(3.17064 + 1.83057i) q^{23} +(1.32279 + 0.972397i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(2.96214 + 1.20320i) q^{26} -3.28711i q^{27} +(4.12818 + 3.31030i) q^{28} -7.76090i q^{29} +(0.308921 - 0.760527i) q^{30} +(4.53853 + 7.86097i) q^{31} +(1.98415 - 5.29747i) q^{32} +(-0.431151 - 0.248925i) q^{33} +(-10.7640 + 1.49235i) q^{34} +(1.09768 - 2.40730i) q^{35} +(-5.12527 + 1.44902i) q^{36} +(-3.77689 - 2.18059i) q^{37} +(-5.18553 - 6.66271i) q^{38} +(1.13643 - 0.656120i) q^{39} +(-2.81124 - 0.311354i) q^{40} +0.780359i q^{41} +(2.11287 - 0.502626i) q^{42} +7.36373 q^{43} +(-0.421188 + 1.66290i) q^{44} +(1.33154 + 2.30630i) q^{45} +(-3.18007 - 4.08596i) q^{46} +(0.206809 - 0.358203i) q^{47} +(-1.21566 - 1.97809i) q^{48} +(6.87195 - 1.33276i) q^{49} +(0.194213 + 1.40081i) q^{50} +(-2.23010 + 3.86264i) q^{51} +(-3.24077 - 3.15298i) q^{52} +(-11.0314 + 6.36896i) q^{53} +(-1.74944 + 4.30693i) q^{54} +0.857704 q^{55} +(-3.64716 - 6.53439i) q^{56} -3.46525 q^{57} +(-4.13046 + 10.1687i) q^{58} +(-7.74172 + 4.46968i) q^{59} +(-0.809526 + 0.832067i) q^{60} +(-2.49343 + 4.31875i) q^{61} +(-1.76289 - 12.7153i) q^{62} +(-2.92322 + 6.41084i) q^{63} +(-5.41911 + 5.88501i) q^{64} +(-1.13037 + 1.95786i) q^{65} +(0.432434 + 0.555618i) q^{66} +(-4.51807 - 7.82553i) q^{67} +(14.8977 + 3.77338i) q^{68} -2.12509 q^{69} +(-2.71943 + 2.56996i) q^{70} -8.69420i q^{71} +(7.48656 + 0.829161i) q^{72} +(-9.52015 + 5.49646i) q^{73} +(3.78812 + 4.86722i) q^{74} +(0.502680 + 0.290223i) q^{75} +(3.24835 + 11.4896i) q^{76} +(1.31738 + 1.84773i) q^{77} +(-1.83820 + 0.254855i) q^{78} +(-4.53017 - 2.61550i) q^{79} +(3.51771 + 1.90413i) q^{80} +(-3.04063 - 5.26653i) q^{81} +(0.415318 - 1.02246i) q^{82} -4.58743i q^{83} +(-3.03588 - 0.465932i) q^{84} -7.68409i q^{85} +(-9.64831 - 3.91908i) q^{86} +(2.25239 + 3.90126i) q^{87} +(1.43688 - 1.95465i) q^{88} +(5.85397 + 3.37979i) q^{89} +(-0.517207 - 3.73049i) q^{90} +(-5.95396 + 0.572033i) q^{91} +(1.99208 + 7.04609i) q^{92} +(-4.56286 - 2.63437i) q^{93} +(-0.461611 + 0.359269i) q^{94} +(5.17016 - 2.98499i) q^{95} +(0.540054 + 3.23878i) q^{96} -4.09482i q^{97} +(-9.71328 - 1.91110i) q^{98} -2.28414 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31025 0.532213i −0.926485 0.376332i
\(3\) −0.502680 + 0.290223i −0.290223 + 0.167560i −0.638042 0.770001i \(-0.720256\pi\)
0.347820 + 0.937561i \(0.386922\pi\)
\(4\) 1.43350 + 1.39466i 0.716749 + 0.697331i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) 0.813096 0.112730i 0.331945 0.0460220i
\(7\) 2.63362 0.253028i 0.995416 0.0956358i
\(8\) −1.13598 2.59028i −0.401629 0.915802i
\(9\) −1.33154 + 2.30630i −0.443847 + 0.768766i
\(10\) −1.11603 + 0.868601i −0.352921 + 0.274676i
\(11\) 0.428852 + 0.742794i 0.129304 + 0.223961i 0.923407 0.383822i \(-0.125392\pi\)
−0.794103 + 0.607783i \(0.792059\pi\)
\(12\) −1.12535 0.285036i −0.324862 0.0822829i
\(13\) −2.26075 −0.627018 −0.313509 0.949585i \(-0.601505\pi\)
−0.313509 + 0.949585i \(0.601505\pi\)
\(14\) −3.58537 1.07012i −0.958229 0.286002i
\(15\) 0.580445i 0.149870i
\(16\) 0.109831 + 3.99849i 0.0274578 + 0.999623i
\(17\) 6.65461 3.84204i 1.61398 0.931832i 0.625546 0.780187i \(-0.284876\pi\)
0.988435 0.151645i \(-0.0484571\pi\)
\(18\) 2.97209 2.31316i 0.700529 0.545216i
\(19\) 5.17016 + 2.98499i 1.18612 + 0.684804i 0.957421 0.288694i \(-0.0932211\pi\)
0.228694 + 0.973498i \(0.426554\pi\)
\(20\) 1.92456 0.544114i 0.430345 0.121668i
\(21\) −1.25044 + 0.891530i −0.272868 + 0.194548i
\(22\) −0.166578 1.20148i −0.0355145 0.256157i
\(23\) 3.17064 + 1.83057i 0.661124 + 0.381700i 0.792705 0.609605i \(-0.208672\pi\)
−0.131581 + 0.991305i \(0.542005\pi\)
\(24\) 1.32279 + 0.972397i 0.270014 + 0.198490i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) 2.96214 + 1.20320i 0.580923 + 0.235967i
\(27\) 3.28711i 0.632605i
\(28\) 4.12818 + 3.31030i 0.780153 + 0.625588i
\(29\) 7.76090i 1.44116i −0.693370 0.720582i \(-0.743875\pi\)
0.693370 0.720582i \(-0.256125\pi\)
\(30\) 0.308921 0.760527i 0.0564010 0.138853i
\(31\) 4.53853 + 7.86097i 0.815144 + 1.41187i 0.909224 + 0.416307i \(0.136676\pi\)
−0.0940797 + 0.995565i \(0.529991\pi\)
\(32\) 1.98415 5.29747i 0.350751 0.936469i
\(33\) −0.431151 0.248925i −0.0750538 0.0433323i
\(34\) −10.7640 + 1.49235i −1.84601 + 0.255936i
\(35\) 1.09768 2.40730i 0.185542 0.406908i
\(36\) −5.12527 + 1.44902i −0.854212 + 0.241503i
\(37\) −3.77689 2.18059i −0.620916 0.358486i 0.156309 0.987708i \(-0.450040\pi\)
−0.777226 + 0.629222i \(0.783374\pi\)
\(38\) −5.18553 6.66271i −0.841205 1.08083i
\(39\) 1.13643 0.656120i 0.181975 0.105063i
\(40\) −2.81124 0.311354i −0.444496 0.0492294i
\(41\) 0.780359i 0.121872i 0.998142 + 0.0609358i \(0.0194085\pi\)
−0.998142 + 0.0609358i \(0.980591\pi\)
\(42\) 2.11287 0.502626i 0.326022 0.0775568i
\(43\) 7.36373 1.12296 0.561479 0.827491i \(-0.310232\pi\)
0.561479 + 0.827491i \(0.310232\pi\)
\(44\) −0.421188 + 1.66290i −0.0634965 + 0.250691i
\(45\) 1.33154 + 2.30630i 0.198494 + 0.343803i
\(46\) −3.18007 4.08596i −0.468876 0.602441i
\(47\) 0.206809 0.358203i 0.0301662 0.0522493i −0.850548 0.525897i \(-0.823730\pi\)
0.880714 + 0.473648i \(0.157063\pi\)
\(48\) −1.21566 1.97809i −0.175466 0.285512i
\(49\) 6.87195 1.33276i 0.981708 0.190395i
\(50\) 0.194213 + 1.40081i 0.0274659 + 0.198105i
\(51\) −2.23010 + 3.86264i −0.312276 + 0.540878i
\(52\) −3.24077 3.15298i −0.449414 0.437239i
\(53\) −11.0314 + 6.36896i −1.51527 + 0.874844i −0.515435 + 0.856929i \(0.672369\pi\)
−0.999840 + 0.0179150i \(0.994297\pi\)
\(54\) −1.74944 + 4.30693i −0.238069 + 0.586099i
\(55\) 0.857704 0.115653
\(56\) −3.64716 6.53439i −0.487372 0.873195i
\(57\) −3.46525 −0.458984
\(58\) −4.13046 + 10.1687i −0.542356 + 1.33522i
\(59\) −7.74172 + 4.46968i −1.00789 + 0.581903i −0.910572 0.413351i \(-0.864358\pi\)
−0.0973139 + 0.995254i \(0.531025\pi\)
\(60\) −0.809526 + 0.832067i −0.104509 + 0.107419i
\(61\) −2.49343 + 4.31875i −0.319251 + 0.552959i −0.980332 0.197355i \(-0.936765\pi\)
0.661081 + 0.750315i \(0.270098\pi\)
\(62\) −1.76289 12.7153i −0.223887 1.61484i
\(63\) −2.92322 + 6.41084i −0.368291 + 0.807690i
\(64\) −5.41911 + 5.88501i −0.677388 + 0.735626i
\(65\) −1.13037 + 1.95786i −0.140206 + 0.242843i
\(66\) 0.432434 + 0.555618i 0.0532289 + 0.0683919i
\(67\) −4.51807 7.82553i −0.551970 0.956041i −0.998132 0.0610886i \(-0.980543\pi\)
0.446162 0.894952i \(-0.352791\pi\)
\(68\) 14.8977 + 3.77338i 1.80662 + 0.457590i
\(69\) −2.12509 −0.255831
\(70\) −2.71943 + 2.56996i −0.325035 + 0.307169i
\(71\) 8.69420i 1.03181i −0.856645 0.515906i \(-0.827455\pi\)
0.856645 0.515906i \(-0.172545\pi\)
\(72\) 7.48656 + 0.829161i 0.882300 + 0.0977176i
\(73\) −9.52015 + 5.49646i −1.11425 + 0.643312i −0.939927 0.341376i \(-0.889107\pi\)
−0.174323 + 0.984689i \(0.555774\pi\)
\(74\) 3.78812 + 4.86722i 0.440360 + 0.565802i
\(75\) 0.502680 + 0.290223i 0.0580445 + 0.0335120i
\(76\) 3.24835 + 11.4896i 0.372612 + 1.31795i
\(77\) 1.31738 + 1.84773i 0.150130 + 0.210568i
\(78\) −1.83820 + 0.254855i −0.208136 + 0.0288566i
\(79\) −4.53017 2.61550i −0.509684 0.294266i 0.223020 0.974814i \(-0.428409\pi\)
−0.732704 + 0.680548i \(0.761742\pi\)
\(80\) 3.51771 + 1.90413i 0.393292 + 0.212888i
\(81\) −3.04063 5.26653i −0.337848 0.585170i
\(82\) 0.415318 1.02246i 0.0458642 0.112912i
\(83\) 4.58743i 0.503536i −0.967788 0.251768i \(-0.918988\pi\)
0.967788 0.251768i \(-0.0810120\pi\)
\(84\) −3.03588 0.465932i −0.331242 0.0508373i
\(85\) 7.68409i 0.833456i
\(86\) −9.64831 3.91908i −1.04040 0.422605i
\(87\) 2.25239 + 3.90126i 0.241482 + 0.418258i
\(88\) 1.43688 1.95465i 0.153172 0.208366i
\(89\) 5.85397 + 3.37979i 0.620519 + 0.358257i 0.777071 0.629413i \(-0.216704\pi\)
−0.156552 + 0.987670i \(0.550038\pi\)
\(90\) −0.517207 3.73049i −0.0545184 0.393228i
\(91\) −5.95396 + 0.572033i −0.624144 + 0.0599654i
\(92\) 1.99208 + 7.04609i 0.207688 + 0.734606i
\(93\) −4.56286 2.63437i −0.473147 0.273171i
\(94\) −0.461611 + 0.359269i −0.0476116 + 0.0370557i
\(95\) 5.17016 2.98499i 0.530447 0.306254i
\(96\) 0.540054 + 3.23878i 0.0551191 + 0.330556i
\(97\) 4.09482i 0.415766i −0.978154 0.207883i \(-0.933343\pi\)
0.978154 0.207883i \(-0.0666574\pi\)
\(98\) −9.71328 1.91110i −0.981189 0.193050i
\(99\) −2.28414 −0.229565
\(100\) 0.491065 1.93878i 0.0491065 0.193878i
\(101\) −2.79146 4.83495i −0.277761 0.481096i 0.693067 0.720873i \(-0.256259\pi\)
−0.970828 + 0.239777i \(0.922926\pi\)
\(102\) 4.97773 3.87413i 0.492869 0.383596i
\(103\) −4.73334 + 8.19839i −0.466390 + 0.807811i −0.999263 0.0383841i \(-0.987779\pi\)
0.532873 + 0.846195i \(0.321112\pi\)
\(104\) 2.56816 + 5.85597i 0.251829 + 0.574225i
\(105\) 0.146869 + 1.52868i 0.0143330 + 0.149183i
\(106\) 17.8435 2.47388i 1.73311 0.240284i
\(107\) −7.98617 + 13.8325i −0.772053 + 1.33723i 0.164384 + 0.986396i \(0.447436\pi\)
−0.936436 + 0.350838i \(0.885897\pi\)
\(108\) 4.58441 4.71207i 0.441135 0.453419i
\(109\) 7.46593 4.31046i 0.715107 0.412867i −0.0978424 0.995202i \(-0.531194\pi\)
0.812949 + 0.582335i \(0.197861\pi\)
\(110\) −1.12381 0.456482i −0.107151 0.0435238i
\(111\) 2.53142 0.240272
\(112\) 1.30099 + 10.5027i 0.122932 + 0.992415i
\(113\) −9.49155 −0.892890 −0.446445 0.894811i \(-0.647310\pi\)
−0.446445 + 0.894811i \(0.647310\pi\)
\(114\) 4.54034 + 1.84425i 0.425241 + 0.172730i
\(115\) 3.17064 1.83057i 0.295664 0.170701i
\(116\) 10.8238 11.1252i 1.00497 1.03295i
\(117\) 3.01028 5.21395i 0.278300 0.482030i
\(118\) 12.5224 1.73615i 1.15278 0.159825i
\(119\) 16.5536 11.8023i 1.51747 1.08192i
\(120\) 1.50352 0.659374i 0.137252 0.0601923i
\(121\) 5.13217 8.88918i 0.466561 0.808107i
\(122\) 5.56551 4.33159i 0.503877 0.392164i
\(123\) −0.226478 0.392271i −0.0204208 0.0353699i
\(124\) −4.45742 + 17.5984i −0.400289 + 1.58038i
\(125\) −1.00000 −0.0894427
\(126\) 7.24208 6.84401i 0.645176 0.609713i
\(127\) 1.82621i 0.162050i −0.996712 0.0810251i \(-0.974181\pi\)
0.996712 0.0810251i \(-0.0258194\pi\)
\(128\) 10.2324 4.82669i 0.904429 0.426624i
\(129\) −3.70160 + 2.13712i −0.325908 + 0.188163i
\(130\) 2.52307 1.96369i 0.221288 0.172227i
\(131\) 0.590932 + 0.341175i 0.0516299 + 0.0298086i 0.525593 0.850736i \(-0.323844\pi\)
−0.473963 + 0.880545i \(0.657177\pi\)
\(132\) −0.270887 0.958144i −0.0235777 0.0833958i
\(133\) 14.3715 + 6.55315i 1.24617 + 0.568230i
\(134\) 1.75494 + 12.6580i 0.151604 + 1.09348i
\(135\) −2.84672 1.64356i −0.245007 0.141455i
\(136\) −17.5115 12.8728i −1.50160 1.10384i
\(137\) −4.39537 7.61300i −0.375521 0.650422i 0.614883 0.788618i \(-0.289203\pi\)
−0.990405 + 0.138196i \(0.955870\pi\)
\(138\) 2.78440 + 1.13100i 0.237024 + 0.0962773i
\(139\) 8.43738i 0.715649i −0.933789 0.357825i \(-0.883519\pi\)
0.933789 0.357825i \(-0.116481\pi\)
\(140\) 4.93090 1.91996i 0.416737 0.162266i
\(141\) 0.240082i 0.0202186i
\(142\) −4.62717 + 11.3916i −0.388304 + 0.955958i
\(143\) −0.969526 1.67927i −0.0810758 0.140427i
\(144\) −9.36796 5.07085i −0.780663 0.422571i
\(145\) −6.72114 3.88045i −0.558160 0.322254i
\(146\) 15.3990 2.13497i 1.27443 0.176692i
\(147\) −3.06760 + 2.66435i −0.253011 + 0.219752i
\(148\) −2.37297 8.39335i −0.195057 0.689929i
\(149\) −0.613174 0.354016i −0.0502332 0.0290022i 0.474673 0.880162i \(-0.342566\pi\)
−0.524906 + 0.851160i \(0.675900\pi\)
\(150\) −0.504175 0.647797i −0.0411658 0.0528924i
\(151\) −16.6390 + 9.60653i −1.35406 + 0.781768i −0.988816 0.149142i \(-0.952349\pi\)
−0.365247 + 0.930911i \(0.619015\pi\)
\(152\) 1.85878 16.7830i 0.150767 1.36128i
\(153\) 20.4634i 1.65436i
\(154\) −0.742713 3.12211i −0.0598495 0.251587i
\(155\) 9.07706 0.729087
\(156\) 2.54414 + 0.644394i 0.203694 + 0.0515928i
\(157\) 6.97017 + 12.0727i 0.556280 + 0.963505i 0.997803 + 0.0662551i \(0.0211051\pi\)
−0.441523 + 0.897250i \(0.645562\pi\)
\(158\) 4.54365 + 5.83797i 0.361473 + 0.464444i
\(159\) 3.69683 6.40310i 0.293178 0.507799i
\(160\) −3.59567 4.36705i −0.284263 0.345246i
\(161\) 8.81346 + 4.01877i 0.694598 + 0.316723i
\(162\) 1.18106 + 8.51872i 0.0927930 + 0.669294i
\(163\) 3.37383 5.84364i 0.264259 0.457710i −0.703110 0.711081i \(-0.748206\pi\)
0.967369 + 0.253371i \(0.0815394\pi\)
\(164\) −1.08834 + 1.11864i −0.0849849 + 0.0873514i
\(165\) −0.431151 + 0.248925i −0.0335651 + 0.0193788i
\(166\) −2.44149 + 6.01067i −0.189497 + 0.466518i
\(167\) 0.766416 0.0593071 0.0296535 0.999560i \(-0.490560\pi\)
0.0296535 + 0.999560i \(0.490560\pi\)
\(168\) 3.72978 + 2.22622i 0.287759 + 0.171757i
\(169\) −7.88903 −0.606848
\(170\) −4.08957 + 10.0681i −0.313656 + 0.772185i
\(171\) −13.7686 + 7.94928i −1.05291 + 0.607897i
\(172\) 10.5559 + 10.2699i 0.804879 + 0.783074i
\(173\) 3.48034 6.02813i 0.264606 0.458311i −0.702855 0.711334i \(-0.748092\pi\)
0.967460 + 0.253023i \(0.0814249\pi\)
\(174\) −0.874889 6.31036i −0.0663252 0.478387i
\(175\) −1.53594 2.15427i −0.116106 0.162848i
\(176\) −2.92295 + 1.79634i −0.220326 + 0.135405i
\(177\) 2.59441 4.49365i 0.195008 0.337763i
\(178\) −5.87138 7.54392i −0.440078 0.565441i
\(179\) 8.62594 + 14.9406i 0.644733 + 1.11671i 0.984363 + 0.176151i \(0.0563647\pi\)
−0.339630 + 0.940559i \(0.610302\pi\)
\(180\) −1.30775 + 5.16312i −0.0974736 + 0.384837i
\(181\) 8.33378 0.619445 0.309723 0.950827i \(-0.399764\pi\)
0.309723 + 0.950827i \(0.399764\pi\)
\(182\) 8.10560 + 2.41927i 0.600827 + 0.179328i
\(183\) 2.89460i 0.213975i
\(184\) 1.13991 10.2923i 0.0840353 0.758761i
\(185\) −3.77689 + 2.18059i −0.277682 + 0.160320i
\(186\) 4.57643 + 5.88009i 0.335560 + 0.431149i
\(187\) 5.70769 + 3.29534i 0.417388 + 0.240979i
\(188\) 0.796033 0.225055i 0.0580566 0.0164138i
\(189\) −0.831733 8.65701i −0.0604996 0.629705i
\(190\) −8.36284 + 1.15945i −0.606704 + 0.0841154i
\(191\) −11.6892 6.74878i −0.845803 0.488325i 0.0134293 0.999910i \(-0.495725\pi\)
−0.859233 + 0.511585i \(0.829059\pi\)
\(192\) 1.01612 4.53103i 0.0733319 0.326999i
\(193\) −9.21020 15.9525i −0.662965 1.14829i −0.979833 0.199819i \(-0.935965\pi\)
0.316868 0.948470i \(-0.397369\pi\)
\(194\) −2.17932 + 5.36523i −0.156466 + 0.385201i
\(195\) 1.31224i 0.0939714i
\(196\) 11.7097 + 7.67354i 0.836406 + 0.548110i
\(197\) 5.56007i 0.396139i 0.980188 + 0.198069i \(0.0634671\pi\)
−0.980188 + 0.198069i \(0.936533\pi\)
\(198\) 2.99279 + 1.21565i 0.212688 + 0.0863924i
\(199\) 0.859626 + 1.48892i 0.0609373 + 0.105546i 0.894885 0.446298i \(-0.147258\pi\)
−0.833947 + 0.551844i \(0.813924\pi\)
\(200\) −1.67526 + 2.27893i −0.118459 + 0.161144i
\(201\) 4.54229 + 2.62249i 0.320389 + 0.184977i
\(202\) 1.08428 + 7.82064i 0.0762896 + 0.550258i
\(203\) −1.96373 20.4393i −0.137827 1.43456i
\(204\) −8.58392 + 2.42685i −0.600995 + 0.169914i
\(205\) 0.675811 + 0.390180i 0.0472007 + 0.0272513i
\(206\) 10.5651 8.22277i 0.736108 0.572907i
\(207\) −8.44368 + 4.87496i −0.586876 + 0.338833i
\(208\) −0.248300 9.03957i −0.0172165 0.626782i
\(209\) 5.12048i 0.354191i
\(210\) 0.621146 2.08111i 0.0428632 0.143610i
\(211\) −4.20177 −0.289262 −0.144631 0.989486i \(-0.546200\pi\)
−0.144631 + 0.989486i \(0.546200\pi\)
\(212\) −24.6960 6.25514i −1.69613 0.429605i
\(213\) 2.52325 + 4.37040i 0.172891 + 0.299455i
\(214\) 17.8257 13.8736i 1.21854 0.948380i
\(215\) 3.68187 6.37718i 0.251101 0.434920i
\(216\) −8.51454 + 3.73409i −0.579341 + 0.254072i
\(217\) 13.9418 + 19.5545i 0.946434 + 1.32744i
\(218\) −12.0763 + 1.67430i −0.817910 + 0.113398i
\(219\) 3.19040 5.52593i 0.215587 0.373408i
\(220\) 1.22952 + 1.19621i 0.0828940 + 0.0806484i
\(221\) −15.0444 + 8.68588i −1.01200 + 0.584276i
\(222\) −3.31679 1.34726i −0.222608 0.0904220i
\(223\) 1.62540 0.108845 0.0544224 0.998518i \(-0.482668\pi\)
0.0544224 + 0.998518i \(0.482668\pi\)
\(224\) 3.88508 14.4536i 0.259583 0.965721i
\(225\) 2.66308 0.177539
\(226\) 12.4363 + 5.05153i 0.827249 + 0.336023i
\(227\) −1.98615 + 1.14670i −0.131825 + 0.0761093i −0.564462 0.825459i \(-0.690916\pi\)
0.432637 + 0.901568i \(0.357583\pi\)
\(228\) −4.96743 4.83286i −0.328976 0.320064i
\(229\) −0.738857 + 1.27974i −0.0488251 + 0.0845675i −0.889405 0.457120i \(-0.848881\pi\)
0.840580 + 0.541687i \(0.182214\pi\)
\(230\) −5.12858 + 0.711042i −0.338168 + 0.0468847i
\(231\) −1.19848 0.546482i −0.0788539 0.0359559i
\(232\) −20.1029 + 8.81622i −1.31982 + 0.578813i
\(233\) −7.94810 + 13.7665i −0.520698 + 0.901875i 0.479013 + 0.877808i \(0.340995\pi\)
−0.999710 + 0.0240666i \(0.992339\pi\)
\(234\) −6.71914 + 5.22946i −0.439244 + 0.341860i
\(235\) −0.206809 0.358203i −0.0134907 0.0233666i
\(236\) −17.3314 4.38981i −1.12818 0.285752i
\(237\) 3.03631 0.197229
\(238\) −27.9707 + 6.65389i −1.81307 + 0.431308i
\(239\) 3.88969i 0.251603i −0.992055 0.125801i \(-0.959850\pi\)
0.992055 0.125801i \(-0.0401502\pi\)
\(240\) −2.32091 + 0.0637510i −0.149814 + 0.00411511i
\(241\) 25.4772 14.7093i 1.64113 0.947507i 0.660698 0.750652i \(-0.270260\pi\)
0.980432 0.196856i \(-0.0630730\pi\)
\(242\) −11.4554 + 8.91562i −0.736378 + 0.573118i
\(243\) 11.5971 + 6.69559i 0.743954 + 0.429522i
\(244\) −9.59753 + 2.71342i −0.614419 + 0.173709i
\(245\) 2.28177 6.61767i 0.145777 0.422787i
\(246\) 0.0879701 + 0.634507i 0.00560877 + 0.0404547i
\(247\) −11.6884 6.74831i −0.743716 0.429385i
\(248\) 15.2064 20.6860i 0.965610 1.31356i
\(249\) 1.33138 + 2.30601i 0.0843726 + 0.146138i
\(250\) 1.31025 + 0.532213i 0.0828673 + 0.0336601i
\(251\) 7.26249i 0.458404i −0.973379 0.229202i \(-0.926388\pi\)
0.973379 0.229202i \(-0.0736116\pi\)
\(252\) −13.1314 + 5.11302i −0.827200 + 0.322090i
\(253\) 3.14018i 0.197421i
\(254\) −0.971935 + 2.39279i −0.0609846 + 0.150137i
\(255\) 2.23010 + 3.86264i 0.139654 + 0.241888i
\(256\) −15.9759 + 0.878318i −0.998492 + 0.0548949i
\(257\) 2.31724 + 1.33786i 0.144545 + 0.0834532i 0.570528 0.821278i \(-0.306738\pi\)
−0.425983 + 0.904731i \(0.640072\pi\)
\(258\) 5.98742 0.830116i 0.372761 0.0516808i
\(259\) −10.4986 4.78718i −0.652354 0.297461i
\(260\) −4.35095 + 1.23010i −0.269834 + 0.0762878i
\(261\) 17.8990 + 10.3340i 1.10792 + 0.639656i
\(262\) −0.592689 0.761525i −0.0366165 0.0470472i
\(263\) −23.5319 + 13.5861i −1.45104 + 0.837757i −0.998540 0.0540095i \(-0.982800\pi\)
−0.452497 + 0.891766i \(0.649467\pi\)
\(264\) −0.155008 + 1.39958i −0.00954007 + 0.0861380i
\(265\) 12.7379i 0.782484i
\(266\) −15.3426 16.2350i −0.940715 0.995430i
\(267\) −3.92357 −0.240118
\(268\) 4.43733 17.5191i 0.271053 1.07015i
\(269\) 13.1313 + 22.7441i 0.800632 + 1.38673i 0.919201 + 0.393789i \(0.128836\pi\)
−0.118569 + 0.992946i \(0.537831\pi\)
\(270\) 2.85519 + 3.66853i 0.173761 + 0.223259i
\(271\) 1.48034 2.56402i 0.0899240 0.155753i −0.817555 0.575851i \(-0.804671\pi\)
0.907479 + 0.420098i \(0.138004\pi\)
\(272\) 16.0933 + 26.1864i 0.975797 + 1.58779i
\(273\) 2.82692 2.01552i 0.171093 0.121985i
\(274\) 1.70728 + 12.3142i 0.103140 + 0.743927i
\(275\) 0.428852 0.742794i 0.0258608 0.0447922i
\(276\) −3.04631 2.96379i −0.183367 0.178399i
\(277\) −4.91040 + 2.83502i −0.295037 + 0.170340i −0.640211 0.768199i \(-0.721153\pi\)
0.345174 + 0.938539i \(0.387820\pi\)
\(278\) −4.49049 + 11.0551i −0.269322 + 0.663038i
\(279\) −24.1730 −1.44720
\(280\) −7.48253 0.108666i −0.447166 0.00649403i
\(281\) −14.7250 −0.878417 −0.439209 0.898385i \(-0.644741\pi\)
−0.439209 + 0.898385i \(0.644741\pi\)
\(282\) 0.127775 0.314567i 0.00760890 0.0187322i
\(283\) 12.5686 7.25646i 0.747123 0.431352i −0.0775305 0.996990i \(-0.524704\pi\)
0.824653 + 0.565638i \(0.191370\pi\)
\(284\) 12.1255 12.4631i 0.719515 0.739550i
\(285\) −1.73263 + 3.00099i −0.102632 + 0.177764i
\(286\) 0.376590 + 2.71625i 0.0222682 + 0.160615i
\(287\) 0.197453 + 2.05517i 0.0116553 + 0.121313i
\(288\) 9.57557 + 11.6298i 0.564246 + 0.685294i
\(289\) 21.0226 36.4122i 1.23662 2.14189i
\(290\) 6.74113 + 8.66143i 0.395853 + 0.508617i
\(291\) 1.18841 + 2.05839i 0.0696659 + 0.120665i
\(292\) −21.3128 5.39824i −1.24724 0.315908i
\(293\) −8.13913 −0.475493 −0.237747 0.971327i \(-0.576409\pi\)
−0.237747 + 0.971327i \(0.576409\pi\)
\(294\) 5.43732 1.85834i 0.317111 0.108381i
\(295\) 8.93937i 0.520470i
\(296\) −1.35787 + 12.2603i −0.0789245 + 0.712615i
\(297\) 2.44165 1.40968i 0.141679 0.0817982i
\(298\) 0.614998 + 0.790189i 0.0356259 + 0.0457744i
\(299\) −7.16801 4.13845i −0.414537 0.239333i
\(300\) 0.315828 + 1.11710i 0.0182344 + 0.0644960i
\(301\) 19.3933 1.86323i 1.11781 0.107395i
\(302\) 26.9139 3.73143i 1.54872 0.214720i
\(303\) 2.80643 + 1.62029i 0.161225 + 0.0930833i
\(304\) −11.3676 + 21.0007i −0.651978 + 1.20447i
\(305\) 2.49343 + 4.31875i 0.142773 + 0.247291i
\(306\) 10.8909 26.8121i 0.622590 1.53274i
\(307\) 17.5176i 0.999782i −0.866088 0.499891i \(-0.833373\pi\)
0.866088 0.499891i \(-0.166627\pi\)
\(308\) −0.688491 + 4.48602i −0.0392304 + 0.255615i
\(309\) 5.49489i 0.312593i
\(310\) −11.8932 4.83094i −0.675488 0.274379i
\(311\) −1.45962 2.52814i −0.0827676 0.143358i 0.821670 0.569963i \(-0.193043\pi\)
−0.904438 + 0.426606i \(0.859709\pi\)
\(312\) −2.99050 2.19834i −0.169304 0.124457i
\(313\) −19.1504 11.0565i −1.08244 0.624950i −0.150890 0.988551i \(-0.548214\pi\)
−0.931555 + 0.363601i \(0.881547\pi\)
\(314\) −2.70740 19.5278i −0.152787 1.10202i
\(315\) 4.09034 + 5.73700i 0.230464 + 0.323244i
\(316\) −2.84626 10.0674i −0.160114 0.566334i
\(317\) −16.0974 9.29387i −0.904123 0.521996i −0.0255873 0.999673i \(-0.508146\pi\)
−0.878536 + 0.477677i \(0.841479\pi\)
\(318\) −8.25159 + 6.42215i −0.462726 + 0.360136i
\(319\) 5.76475 3.32828i 0.322764 0.186348i
\(320\) 2.38701 + 7.63559i 0.133438 + 0.426842i
\(321\) 9.27108i 0.517461i
\(322\) −9.40897 9.95623i −0.524341 0.554839i
\(323\) 45.8739 2.55249
\(324\) 2.98629 11.7902i 0.165905 0.655012i
\(325\) 1.13037 + 1.95786i 0.0627018 + 0.108603i
\(326\) −7.53062 + 5.86102i −0.417082 + 0.324612i
\(327\) −2.50199 + 4.33357i −0.138360 + 0.239647i
\(328\) 2.02135 0.886472i 0.111610 0.0489472i
\(329\) 0.454021 0.995701i 0.0250310 0.0548948i
\(330\) 0.697396 0.0966893i 0.0383904 0.00532257i
\(331\) −2.40439 + 4.16452i −0.132157 + 0.228903i −0.924508 0.381163i \(-0.875524\pi\)
0.792351 + 0.610066i \(0.208857\pi\)
\(332\) 6.39792 6.57607i 0.351131 0.360909i
\(333\) 10.0582 5.80708i 0.551184 0.318226i
\(334\) −1.00420 0.407897i −0.0549471 0.0223191i
\(335\) −9.03615 −0.493697
\(336\) −3.70211 4.90194i −0.201967 0.267423i
\(337\) 3.08186 0.167880 0.0839398 0.996471i \(-0.473250\pi\)
0.0839398 + 0.996471i \(0.473250\pi\)
\(338\) 10.3366 + 4.19865i 0.562236 + 0.228376i
\(339\) 4.77122 2.75466i 0.259137 0.149613i
\(340\) 10.7167 11.0151i 0.581195 0.597379i
\(341\) −3.89272 + 6.74239i −0.210803 + 0.365121i
\(342\) 22.2709 3.08771i 1.20427 0.166964i
\(343\) 17.7609 5.24880i 0.958999 0.283408i
\(344\) −8.36504 19.0741i −0.451013 1.02841i
\(345\) −1.06255 + 1.84038i −0.0572055 + 0.0990829i
\(346\) −7.76837 + 6.04606i −0.417630 + 0.325038i
\(347\) 14.0669 + 24.3645i 0.755148 + 1.30795i 0.945301 + 0.326200i \(0.105768\pi\)
−0.190153 + 0.981755i \(0.560898\pi\)
\(348\) −2.21214 + 8.73377i −0.118583 + 0.468179i
\(349\) 6.48305 0.347030 0.173515 0.984831i \(-0.444488\pi\)
0.173515 + 0.984831i \(0.444488\pi\)
\(350\) 0.865931 + 3.64008i 0.0462860 + 0.194570i
\(351\) 7.43132i 0.396655i
\(352\) 4.78583 0.798020i 0.255086 0.0425346i
\(353\) −2.83541 + 1.63702i −0.150914 + 0.0871300i −0.573555 0.819167i \(-0.694436\pi\)
0.422642 + 0.906297i \(0.361103\pi\)
\(354\) −5.79089 + 4.50701i −0.307783 + 0.239545i
\(355\) −7.52940 4.34710i −0.399619 0.230720i
\(356\) 3.67798 + 13.0092i 0.194933 + 0.689488i
\(357\) −4.89588 + 10.7370i −0.259117 + 0.568263i
\(358\) −3.35055 24.1667i −0.177082 1.27725i
\(359\) 5.52569 + 3.19026i 0.291635 + 0.168375i 0.638679 0.769473i \(-0.279481\pi\)
−0.347044 + 0.937849i \(0.612815\pi\)
\(360\) 4.46135 6.06897i 0.235134 0.319863i
\(361\) 8.32036 + 14.4113i 0.437913 + 0.758488i
\(362\) −10.9193 4.43535i −0.573907 0.233117i
\(363\) 5.95789i 0.312708i
\(364\) −9.33277 7.48375i −0.489170 0.392255i
\(365\) 10.9929i 0.575396i
\(366\) −1.54055 + 3.79264i −0.0805256 + 0.198245i
\(367\) −14.0637 24.3590i −0.734117 1.27153i −0.955110 0.296253i \(-0.904263\pi\)
0.220993 0.975276i \(-0.429070\pi\)
\(368\) −6.97128 + 12.8788i −0.363403 + 0.671355i
\(369\) −1.79974 1.03908i −0.0936908 0.0540924i
\(370\) 6.10919 0.846998i 0.317602 0.0440333i
\(371\) −27.4409 + 19.5647i −1.42466 + 1.01575i
\(372\) −2.86680 10.1400i −0.148636 0.525735i
\(373\) 11.7985 + 6.81189i 0.610905 + 0.352706i 0.773320 0.634017i \(-0.218595\pi\)
−0.162415 + 0.986723i \(0.551928\pi\)
\(374\) −5.72467 7.35542i −0.296015 0.380340i
\(375\) 0.502680 0.290223i 0.0259583 0.0149870i
\(376\) −1.16278 0.128781i −0.0599657 0.00664139i
\(377\) 17.5454i 0.903636i
\(378\) −3.51760 + 11.7855i −0.180926 + 0.606180i
\(379\) 27.0049 1.38715 0.693573 0.720386i \(-0.256035\pi\)
0.693573 + 0.720386i \(0.256035\pi\)
\(380\) 11.5745 + 2.93165i 0.593758 + 0.150390i
\(381\) 0.530009 + 0.918002i 0.0271532 + 0.0470307i
\(382\) 11.7240 + 15.0637i 0.599852 + 0.770728i
\(383\) 12.3100 21.3215i 0.629009 1.08948i −0.358741 0.933437i \(-0.616794\pi\)
0.987751 0.156039i \(-0.0498726\pi\)
\(384\) −3.74284 + 5.39597i −0.191001 + 0.275362i
\(385\) 2.25887 0.217024i 0.115123 0.0110605i
\(386\) 3.57749 + 25.8036i 0.182089 + 1.31337i
\(387\) −9.80512 + 16.9830i −0.498422 + 0.863292i
\(388\) 5.71090 5.86992i 0.289927 0.298000i
\(389\) 10.2171 5.89882i 0.518026 0.299082i −0.218101 0.975926i \(-0.569986\pi\)
0.736127 + 0.676844i \(0.236653\pi\)
\(390\) −0.698392 + 1.71936i −0.0353644 + 0.0870631i
\(391\) 28.1325 1.42272
\(392\) −11.2586 16.2863i −0.568646 0.822582i
\(393\) −0.396066 −0.0199789
\(394\) 2.95915 7.28507i 0.149080 0.367017i
\(395\) −4.53017 + 2.61550i −0.227938 + 0.131600i
\(396\) −3.27431 3.18560i −0.164540 0.160083i
\(397\) 11.8315 20.4928i 0.593808 1.02851i −0.399906 0.916556i \(-0.630957\pi\)
0.993714 0.111949i \(-0.0357095\pi\)
\(398\) −0.333902 2.40835i −0.0167370 0.120720i
\(399\) −9.12617 + 0.876807i −0.456880 + 0.0438952i
\(400\) 3.40788 2.09436i 0.170394 0.104718i
\(401\) 14.6235 25.3287i 0.730263 1.26485i −0.226507 0.974009i \(-0.572731\pi\)
0.956771 0.290844i \(-0.0939360\pi\)
\(402\) −4.55580 5.85359i −0.227223 0.291950i
\(403\) −10.2605 17.7717i −0.511110 0.885269i
\(404\) 2.74158 10.8240i 0.136398 0.538516i
\(405\) −6.08126 −0.302180
\(406\) −8.30510 + 27.8257i −0.412175 + 1.38097i
\(407\) 3.74060i 0.185414i
\(408\) 12.5387 + 1.38870i 0.620756 + 0.0687508i
\(409\) −7.61896 + 4.39881i −0.376733 + 0.217507i −0.676396 0.736538i \(-0.736459\pi\)
0.299663 + 0.954045i \(0.403126\pi\)
\(410\) −0.677821 0.870908i −0.0334752 0.0430111i
\(411\) 4.41893 + 2.55127i 0.217970 + 0.125845i
\(412\) −18.2192 + 5.15095i −0.897596 + 0.253769i
\(413\) −19.2578 + 13.7303i −0.947615 + 0.675626i
\(414\) 13.6578 1.89356i 0.671245 0.0930636i
\(415\) −3.97283 2.29372i −0.195019 0.112594i
\(416\) −4.48565 + 11.9762i −0.219927 + 0.587183i
\(417\) 2.44872 + 4.24131i 0.119914 + 0.207698i
\(418\) 2.72519 6.70910i 0.133293 0.328153i
\(419\) 13.7370i 0.671094i −0.942023 0.335547i \(-0.891079\pi\)
0.942023 0.335547i \(-0.108921\pi\)
\(420\) −1.92145 + 2.39619i −0.0937571 + 0.116922i
\(421\) 12.5052i 0.609467i −0.952438 0.304734i \(-0.901433\pi\)
0.952438 0.304734i \(-0.0985675\pi\)
\(422\) 5.50536 + 2.23624i 0.267997 + 0.108858i
\(423\) 0.550749 + 0.953925i 0.0267783 + 0.0463814i
\(424\) 29.0288 + 21.3393i 1.40976 + 1.03633i
\(425\) −6.65461 3.84204i −0.322796 0.186366i
\(426\) −0.980100 7.06922i −0.0474860 0.342505i
\(427\) −5.47399 + 12.0049i −0.264905 + 0.580956i
\(428\) −30.7398 + 8.69078i −1.48586 + 0.420085i
\(429\) 0.974723 + 0.562757i 0.0470601 + 0.0271702i
\(430\) −8.21818 + 6.39615i −0.396316 + 0.308450i
\(431\) 18.5456 10.7073i 0.893310 0.515753i 0.0182864 0.999833i \(-0.494179\pi\)
0.875024 + 0.484080i \(0.160846\pi\)
\(432\) 13.1435 0.361027i 0.632366 0.0173699i
\(433\) 32.5232i 1.56297i 0.623926 + 0.781484i \(0.285537\pi\)
−0.623926 + 0.781484i \(0.714463\pi\)
\(434\) −7.86011 33.0412i −0.377297 1.58603i
\(435\) 4.50478 0.215988
\(436\) 16.7140 + 4.23343i 0.800457 + 0.202744i
\(437\) 10.9285 + 18.9287i 0.522780 + 0.905481i
\(438\) −7.12118 + 5.54236i −0.340263 + 0.264824i
\(439\) −13.0049 + 22.5251i −0.620688 + 1.07506i 0.368670 + 0.929560i \(0.379813\pi\)
−0.989358 + 0.145503i \(0.953520\pi\)
\(440\) −0.974334 2.22169i −0.0464495 0.105915i
\(441\) −6.07654 + 17.6234i −0.289359 + 0.839210i
\(442\) 24.3346 3.37383i 1.15748 0.160477i
\(443\) −2.21951 + 3.84431i −0.105452 + 0.182649i −0.913923 0.405888i \(-0.866962\pi\)
0.808471 + 0.588537i \(0.200296\pi\)
\(444\) 3.62879 + 3.53048i 0.172215 + 0.167549i
\(445\) 5.85397 3.37979i 0.277505 0.160217i
\(446\) −2.12967 0.865059i −0.100843 0.0409617i
\(447\) 0.410974 0.0194384
\(448\) −12.7828 + 16.8701i −0.603931 + 0.797036i
\(449\) −18.7677 −0.885704 −0.442852 0.896595i \(-0.646033\pi\)
−0.442852 + 0.896595i \(0.646033\pi\)
\(450\) −3.48930 1.41733i −0.164487 0.0668135i
\(451\) −0.579646 + 0.334659i −0.0272945 + 0.0157585i
\(452\) −13.6061 13.2375i −0.639978 0.622640i
\(453\) 5.57607 9.65803i 0.261986 0.453774i
\(454\) 3.21263 0.445410i 0.150776 0.0209041i
\(455\) −2.48158 + 5.44229i −0.116338 + 0.255139i
\(456\) 3.93645 + 8.97597i 0.184341 + 0.420338i
\(457\) 3.10017 5.36965i 0.145020 0.251182i −0.784361 0.620305i \(-0.787009\pi\)
0.929380 + 0.369124i \(0.120342\pi\)
\(458\) 1.64918 1.28354i 0.0770611 0.0599761i
\(459\) −12.6292 21.8745i −0.589482 1.02101i
\(460\) 7.09813 + 1.79786i 0.330952 + 0.0838255i
\(461\) −30.5190 −1.42141 −0.710707 0.703488i \(-0.751625\pi\)
−0.710707 + 0.703488i \(0.751625\pi\)
\(462\) 1.27945 + 1.35387i 0.0595256 + 0.0629878i
\(463\) 8.45400i 0.392891i −0.980515 0.196445i \(-0.937060\pi\)
0.980515 0.196445i \(-0.0629399\pi\)
\(464\) 31.0319 0.852389i 1.44062 0.0395712i
\(465\) −4.56286 + 2.63437i −0.211598 + 0.122166i
\(466\) 17.7407 13.8075i 0.821822 0.639618i
\(467\) −15.3274 8.84925i −0.709265 0.409494i 0.101524 0.994833i \(-0.467628\pi\)
−0.810789 + 0.585339i \(0.800962\pi\)
\(468\) 11.5869 3.27587i 0.535606 0.151427i
\(469\) −13.8790 19.4663i −0.640872 0.898871i
\(470\) 0.0803301 + 0.579401i 0.00370535 + 0.0267258i
\(471\) −7.00753 4.04580i −0.322890 0.186421i
\(472\) 20.3722 + 14.9758i 0.937705 + 0.689315i
\(473\) 3.15795 + 5.46974i 0.145203 + 0.251499i
\(474\) −3.97831 1.61596i −0.182730 0.0742236i
\(475\) 5.96998i 0.273922i
\(476\) 40.1898 + 6.16812i 1.84210 + 0.282715i
\(477\) 33.9221i 1.55319i
\(478\) −2.07014 + 5.09645i −0.0946861 + 0.233106i
\(479\) 14.9353 + 25.8686i 0.682409 + 1.18197i 0.974244 + 0.225498i \(0.0724010\pi\)
−0.291834 + 0.956469i \(0.594266\pi\)
\(480\) 3.07489 + 1.15169i 0.140349 + 0.0525671i
\(481\) 8.53858 + 4.92975i 0.389326 + 0.224777i
\(482\) −41.2099 + 5.71348i −1.87706 + 0.260242i
\(483\) −5.59669 + 0.537709i −0.254658 + 0.0244666i
\(484\) 19.7544 5.58497i 0.897926 0.253862i
\(485\) −3.54622 2.04741i −0.161026 0.0929682i
\(486\) −11.6316 14.9450i −0.527619 0.677919i
\(487\) 9.38052 5.41585i 0.425072 0.245415i −0.272173 0.962248i \(-0.587742\pi\)
0.697245 + 0.716833i \(0.254409\pi\)
\(488\) 14.0193 + 1.55268i 0.634622 + 0.0702865i
\(489\) 3.91665i 0.177117i
\(490\) −6.51169 + 7.45640i −0.294168 + 0.336846i
\(491\) −21.5731 −0.973581 −0.486790 0.873519i \(-0.661832\pi\)
−0.486790 + 0.873519i \(0.661832\pi\)
\(492\) 0.222431 0.878181i 0.0100279 0.0395914i
\(493\) −29.8177 51.6458i −1.34292 2.32601i
\(494\) 11.7232 + 15.0627i 0.527451 + 0.677702i
\(495\) −1.14207 + 1.97812i −0.0513322 + 0.0889100i
\(496\) −30.9335 + 19.0107i −1.38896 + 0.853604i
\(497\) −2.19988 22.8973i −0.0986781 1.02708i
\(498\) −0.517142 3.73002i −0.0231737 0.167146i
\(499\) −12.4350 + 21.5380i −0.556667 + 0.964175i 0.441105 + 0.897456i \(0.354587\pi\)
−0.997772 + 0.0667197i \(0.978747\pi\)
\(500\) −1.43350 1.39466i −0.0641080 0.0623712i
\(501\) −0.385263 + 0.222431i −0.0172123 + 0.00993750i
\(502\) −3.86519 + 9.51565i −0.172512 + 0.424704i
\(503\) 27.6964 1.23492 0.617460 0.786602i \(-0.288162\pi\)
0.617460 + 0.786602i \(0.288162\pi\)
\(504\) 19.9266 + 0.289386i 0.887601 + 0.0128903i
\(505\) −5.58292 −0.248437
\(506\) 1.67124 4.11441i 0.0742958 0.182908i
\(507\) 3.96566 2.28958i 0.176121 0.101684i
\(508\) 2.54695 2.61787i 0.113003 0.116149i
\(509\) −13.3901 + 23.1924i −0.593508 + 1.02799i 0.400248 + 0.916407i \(0.368924\pi\)
−0.993756 + 0.111578i \(0.964409\pi\)
\(510\) −0.866229 6.24790i −0.0383573 0.276662i
\(511\) −23.6817 + 16.8845i −1.04762 + 0.746926i
\(512\) 21.3998 + 7.35176i 0.945747 + 0.324905i
\(513\) 9.81200 16.9949i 0.433210 0.750342i
\(514\) −2.32413 2.98619i −0.102513 0.131715i
\(515\) 4.73334 + 8.19839i 0.208576 + 0.361264i
\(516\) −8.28681 2.09893i −0.364806 0.0924003i
\(517\) 0.354762 0.0156024
\(518\) 11.2080 + 11.8599i 0.492452 + 0.521095i
\(519\) 4.04030i 0.177350i
\(520\) 6.35549 + 0.703892i 0.278707 + 0.0308677i
\(521\) 7.67918 4.43358i 0.336431 0.194238i −0.322262 0.946651i \(-0.604443\pi\)
0.658693 + 0.752412i \(0.271110\pi\)
\(522\) −17.9522 23.0661i −0.785746 1.00958i
\(523\) −31.3535 18.1020i −1.37099 0.791544i −0.379941 0.925011i \(-0.624056\pi\)
−0.991053 + 0.133467i \(0.957389\pi\)
\(524\) 0.371276 + 1.31322i 0.0162193 + 0.0573684i
\(525\) 1.39731 + 0.637145i 0.0609834 + 0.0278073i
\(526\) 38.0633 5.27722i 1.65964 0.230098i
\(527\) 60.4044 + 34.8745i 2.63126 + 1.51916i
\(528\) 0.947972 1.75129i 0.0412552 0.0762153i
\(529\) −4.79803 8.31043i −0.208610 0.361323i
\(530\) 6.77929 16.6898i 0.294474 0.724960i
\(531\) 23.8063i 1.03310i
\(532\) 11.4621 + 29.4374i 0.496947 + 1.27627i
\(533\) 1.76419i 0.0764157i
\(534\) 5.14084 + 2.08818i 0.222466 + 0.0903642i
\(535\) 7.98617 + 13.8325i 0.345272 + 0.598029i
\(536\) −15.1379 + 20.5927i −0.653857 + 0.889470i
\(537\) −8.67218 5.00688i −0.374232 0.216063i
\(538\) −5.10056 36.7891i −0.219901 1.58609i
\(539\) 3.93702 + 4.53289i 0.169579 + 0.195245i
\(540\) −1.78856 6.32625i −0.0769675 0.272238i
\(541\) 6.18844 + 3.57290i 0.266062 + 0.153611i 0.627097 0.778941i \(-0.284243\pi\)
−0.361035 + 0.932552i \(0.617576\pi\)
\(542\) −3.30421 + 2.57164i −0.141928 + 0.110462i
\(543\) −4.18923 + 2.41865i −0.179777 + 0.103794i
\(544\) −7.14938 42.8758i −0.306527 1.83828i
\(545\) 8.62091i 0.369279i
\(546\) −4.77665 + 1.13631i −0.204422 + 0.0486295i
\(547\) 18.9413 0.809870 0.404935 0.914345i \(-0.367294\pi\)
0.404935 + 0.914345i \(0.367294\pi\)
\(548\) 4.31682 17.0433i 0.184405 0.728052i
\(549\) −6.64021 11.5012i −0.283397 0.490859i
\(550\) −0.957227 + 0.745003i −0.0408163 + 0.0317670i
\(551\) 23.1662 40.1251i 0.986915 1.70939i
\(552\) 2.41406 + 5.50458i 0.102749 + 0.234291i
\(553\) −12.5926 5.74197i −0.535490 0.244174i
\(554\) 7.94268 1.10120i 0.337452 0.0467855i
\(555\) 1.26571 2.19228i 0.0537264 0.0930569i
\(556\) 11.7673 12.0950i 0.499045 0.512941i
\(557\) −14.4152 + 8.32262i −0.610791 + 0.352641i −0.773275 0.634071i \(-0.781383\pi\)
0.162484 + 0.986711i \(0.448049\pi\)
\(558\) 31.6726 + 12.8652i 1.34081 + 0.544627i
\(559\) −16.6475 −0.704115
\(560\) 9.74613 + 4.12468i 0.411849 + 0.174300i
\(561\) −3.82553 −0.161514
\(562\) 19.2933 + 7.83682i 0.813841 + 0.330576i
\(563\) −16.0054 + 9.24075i −0.674549 + 0.389451i −0.797798 0.602925i \(-0.794002\pi\)
0.123249 + 0.992376i \(0.460669\pi\)
\(564\) −0.334834 + 0.344158i −0.0140991 + 0.0144916i
\(565\) −4.74578 + 8.21993i −0.199656 + 0.345815i
\(566\) −20.3299 + 2.81860i −0.854529 + 0.118475i
\(567\) −9.34046 13.1007i −0.392262 0.550177i
\(568\) −22.5204 + 9.87643i −0.944936 + 0.414406i
\(569\) −15.4243 + 26.7157i −0.646620 + 1.11998i 0.337305 + 0.941395i \(0.390485\pi\)
−0.983925 + 0.178583i \(0.942849\pi\)
\(570\) 3.86734 3.00992i 0.161985 0.126072i
\(571\) 15.9507 + 27.6274i 0.667515 + 1.15617i 0.978597 + 0.205786i \(0.0659751\pi\)
−0.311082 + 0.950383i \(0.600692\pi\)
\(572\) 0.952200 3.75939i 0.0398135 0.157188i
\(573\) 7.83460 0.327295
\(574\) 0.835078 2.79787i 0.0348555 0.116781i
\(575\) 3.66114i 0.152680i
\(576\) −6.35681 20.3342i −0.264867 0.847258i
\(577\) 0.0890408 0.0514077i 0.00370682 0.00214013i −0.498145 0.867093i \(-0.665985\pi\)
0.501852 + 0.864953i \(0.332652\pi\)
\(578\) −46.9239 + 36.5205i −1.95178 + 1.51905i
\(579\) 9.25957 + 5.34602i 0.384815 + 0.222173i
\(580\) −4.22282 14.9363i −0.175343 0.620198i
\(581\) −1.16075 12.0816i −0.0481560 0.501228i
\(582\) −0.461611 3.32949i −0.0191344 0.138012i
\(583\) −9.46165 5.46268i −0.391861 0.226241i
\(584\) 25.0521 + 18.4160i 1.03666 + 0.762060i
\(585\) −3.01028 5.21395i −0.124460 0.215570i
\(586\) 10.6643 + 4.33175i 0.440537 + 0.178943i
\(587\) 16.8744i 0.696481i −0.937405 0.348241i \(-0.886779\pi\)
0.937405 0.348241i \(-0.113221\pi\)
\(588\) −8.11327 0.458924i −0.334585 0.0189257i
\(589\) 54.1899i 2.23286i
\(590\) 4.75765 11.7128i 0.195869 0.482208i
\(591\) −1.61366 2.79494i −0.0663771 0.114968i
\(592\) 8.30424 15.3413i 0.341302 0.630525i
\(593\) −10.5741 6.10497i −0.434227 0.250701i 0.266919 0.963719i \(-0.413994\pi\)
−0.701146 + 0.713018i \(0.747328\pi\)
\(594\) −3.94941 + 0.547559i −0.162046 + 0.0224666i
\(595\) −1.94429 20.2370i −0.0797082 0.829636i
\(596\) −0.385251 1.36265i −0.0157805 0.0558165i
\(597\) −0.864235 0.498966i −0.0353708 0.0204213i
\(598\) 7.18933 + 9.23731i 0.293993 + 0.377742i
\(599\) 2.85986 1.65114i 0.116851 0.0674637i −0.440436 0.897784i \(-0.645176\pi\)
0.557286 + 0.830320i \(0.311843\pi\)
\(600\) 0.180724 1.63177i 0.00737802 0.0666167i
\(601\) 1.17354i 0.0478696i −0.999714 0.0239348i \(-0.992381\pi\)
0.999714 0.0239348i \(-0.00761942\pi\)
\(602\) −26.4017 7.88008i −1.07605 0.321168i
\(603\) 24.0640 0.979962
\(604\) −37.2498 9.43485i −1.51567 0.383899i
\(605\) −5.13217 8.88918i −0.208652 0.361397i
\(606\) −2.81477 3.61660i −0.114342 0.146914i
\(607\) −19.3297 + 33.4800i −0.784567 + 1.35891i 0.144691 + 0.989477i \(0.453781\pi\)
−0.929258 + 0.369432i \(0.879552\pi\)
\(608\) 26.0712 21.4661i 1.05733 0.870565i
\(609\) 6.91908 + 9.70452i 0.280375 + 0.393247i
\(610\) −0.968516 6.98567i −0.0392141 0.282841i
\(611\) −0.467542 + 0.809807i −0.0189147 + 0.0327613i
\(612\) −28.5395 + 29.3342i −1.15364 + 1.18576i
\(613\) 5.85186 3.37857i 0.236354 0.136459i −0.377146 0.926154i \(-0.623094\pi\)
0.613500 + 0.789695i \(0.289761\pi\)
\(614\) −9.32310 + 22.9524i −0.376250 + 0.926283i
\(615\) −0.452956 −0.0182649
\(616\) 3.28961 5.51137i 0.132542 0.222060i
\(617\) −41.1014 −1.65468 −0.827340 0.561702i \(-0.810147\pi\)
−0.827340 + 0.561702i \(0.810147\pi\)
\(618\) −2.92446 + 7.19967i −0.117639 + 0.289613i
\(619\) −40.4897 + 23.3768i −1.62742 + 0.939591i −0.642561 + 0.766234i \(0.722128\pi\)
−0.984859 + 0.173357i \(0.944539\pi\)
\(620\) 13.0120 + 12.6594i 0.522572 + 0.508416i
\(621\) 6.01728 10.4222i 0.241465 0.418230i
\(622\) 0.566957 + 4.08932i 0.0227329 + 0.163967i
\(623\) 16.2723 + 7.41988i 0.651937 + 0.297271i
\(624\) 2.74831 + 4.47196i 0.110020 + 0.179021i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 19.2074 + 24.6788i 0.767680 + 0.986365i
\(627\) −1.48608 2.57397i −0.0593483 0.102794i
\(628\) −6.84561 + 27.0272i −0.273169 + 1.07850i
\(629\) −33.5116 −1.33620
\(630\) −2.30605 9.69383i −0.0918751 0.386211i
\(631\) 27.1538i 1.08098i 0.841352 + 0.540488i \(0.181760\pi\)
−0.841352 + 0.540488i \(0.818240\pi\)
\(632\) −1.62869 + 14.7056i −0.0647858 + 0.584956i
\(633\) 2.11215 1.21945i 0.0839504 0.0484688i
\(634\) 16.1453 + 20.7445i 0.641213 + 0.823871i
\(635\) −1.58155 0.913107i −0.0627618 0.0362355i
\(636\) 14.2296 4.02300i 0.564239 0.159522i
\(637\) −15.5357 + 3.01304i −0.615548 + 0.119381i
\(638\) −9.32461 + 1.29279i −0.369165 + 0.0511822i
\(639\) 20.0514 + 11.5767i 0.793222 + 0.457967i
\(640\) 0.936185 11.2749i 0.0370059 0.445680i
\(641\) −9.04928 15.6738i −0.357425 0.619079i 0.630105 0.776510i \(-0.283012\pi\)
−0.987530 + 0.157432i \(0.949679\pi\)
\(642\) −4.93419 + 12.1474i −0.194737 + 0.479420i
\(643\) 28.6157i 1.12849i 0.825606 + 0.564247i \(0.190833\pi\)
−0.825606 + 0.564247i \(0.809167\pi\)
\(644\) 7.02924 + 18.0527i 0.276991 + 0.711376i
\(645\) 4.27425i 0.168298i
\(646\) −60.1061 24.4147i −2.36484 0.960583i
\(647\) −4.83689 8.37773i −0.190158 0.329363i 0.755145 0.655558i \(-0.227567\pi\)
−0.945302 + 0.326195i \(0.894233\pi\)
\(648\) −10.1877 + 13.8587i −0.400210 + 0.544423i
\(649\) −6.64011 3.83367i −0.260647 0.150485i
\(650\) −0.439067 3.16689i −0.0172216 0.124215i
\(651\) −12.6834 5.78341i −0.497103 0.226670i
\(652\) 12.9863 3.67150i 0.508582 0.143787i
\(653\) 4.11750 + 2.37724i 0.161130 + 0.0930287i 0.578397 0.815755i \(-0.303679\pi\)
−0.417267 + 0.908784i \(0.637012\pi\)
\(654\) 5.58460 4.34645i 0.218375 0.169960i
\(655\) 0.590932 0.341175i 0.0230896 0.0133308i
\(656\) −3.12026 + 0.0857078i −0.121826 + 0.00334633i
\(657\) 29.2751i 1.14213i
\(658\) −1.12481 + 1.06298i −0.0438495 + 0.0414392i
\(659\) −31.5514 −1.22907 −0.614534 0.788890i \(-0.710656\pi\)
−0.614534 + 0.788890i \(0.710656\pi\)
\(660\) −0.965221 0.244477i −0.0375712 0.00951625i
\(661\) −12.7700 22.1183i −0.496695 0.860301i 0.503298 0.864113i \(-0.332120\pi\)
−0.999993 + 0.00381217i \(0.998787\pi\)
\(662\) 5.36676 4.17691i 0.208585 0.162340i
\(663\) 5.04168 8.73245i 0.195803 0.339140i
\(664\) −11.8827 + 5.21122i −0.461139 + 0.202235i
\(665\) 12.8610 9.16954i 0.498727 0.355580i
\(666\) −16.2693 + 2.25563i −0.630422 + 0.0874038i
\(667\) 14.2069 24.6070i 0.550092 0.952788i
\(668\) 1.09866 + 1.06889i 0.0425083 + 0.0413567i
\(669\) −0.817056 + 0.471727i −0.0315892 + 0.0182380i
\(670\) 11.8396 + 4.80916i 0.457403 + 0.185794i
\(671\) −4.27725 −0.165122
\(672\) 2.24180 + 8.39307i 0.0864794 + 0.323770i
\(673\) 27.1625 1.04704 0.523519 0.852014i \(-0.324619\pi\)
0.523519 + 0.852014i \(0.324619\pi\)
\(674\) −4.03800 1.64021i −0.155538 0.0631784i
\(675\) −2.84672 + 1.64356i −0.109570 + 0.0632605i
\(676\) −11.3089 11.0025i −0.434958 0.423174i
\(677\) −1.06336 + 1.84180i −0.0408683 + 0.0707860i −0.885736 0.464189i \(-0.846346\pi\)
0.844868 + 0.534975i \(0.179679\pi\)
\(678\) −7.71755 + 1.06999i −0.296391 + 0.0410926i
\(679\) −1.03611 10.7842i −0.0397621 0.413861i
\(680\) −19.9039 + 8.72896i −0.763281 + 0.334740i
\(681\) 0.665598 1.15285i 0.0255058 0.0441773i
\(682\) 8.68881 6.76244i 0.332712 0.258947i
\(683\) 14.2239 + 24.6366i 0.544264 + 0.942692i 0.998653 + 0.0518890i \(0.0165242\pi\)
−0.454389 + 0.890803i \(0.650142\pi\)
\(684\) −30.8238 7.80722i −1.17858 0.298517i
\(685\) −8.79073 −0.335877
\(686\) −26.0647 2.57537i −0.995154 0.0983282i
\(687\) 0.857733i 0.0327245i
\(688\) 0.808767 + 29.4438i 0.0308340 + 1.12254i
\(689\) 24.9391 14.3986i 0.950104 0.548543i
\(690\) 2.37167 1.84586i 0.0902881 0.0702706i
\(691\) 20.6371 + 11.9149i 0.785074 + 0.453262i 0.838225 0.545324i \(-0.183593\pi\)
−0.0531518 + 0.998586i \(0.516927\pi\)
\(692\) 13.3963 3.78741i 0.509250 0.143976i
\(693\) −6.01556 + 0.577952i −0.228512 + 0.0219546i
\(694\) −5.46394 39.4101i −0.207408 1.49599i
\(695\) −7.30699 4.21869i −0.277170 0.160024i
\(696\) 7.54668 10.2661i 0.286056 0.389134i
\(697\) 2.99817 + 5.19299i 0.113564 + 0.196699i
\(698\) −8.49440 3.45037i −0.321518 0.130598i
\(699\) 9.22688i 0.348993i
\(700\) 0.802714 5.23026i 0.0303397 0.197685i
\(701\) 37.3873i 1.41210i −0.708162 0.706050i \(-0.750475\pi\)
0.708162 0.706050i \(-0.249525\pi\)
\(702\) 3.95505 9.73687i 0.149274 0.367495i
\(703\) −13.0181 22.5479i −0.490986 0.850412i
\(704\) −6.69534 1.50148i −0.252340 0.0565892i
\(705\) 0.207917 + 0.120041i 0.00783062 + 0.00452101i
\(706\) 4.58633 0.635864i 0.172609 0.0239311i
\(707\) −8.57504 12.0271i −0.322498 0.452327i
\(708\) 9.98620 2.82331i 0.375304 0.106106i
\(709\) −38.0453 21.9655i −1.42882 0.824931i −0.431794 0.901972i \(-0.642119\pi\)
−0.997028 + 0.0770416i \(0.975453\pi\)
\(710\) 7.55179 + 9.70302i 0.283414 + 0.364148i
\(711\) 12.0642 6.96528i 0.452444 0.261219i
\(712\) 2.10462 19.0028i 0.0788740 0.712160i
\(713\) 33.2324i 1.24456i
\(714\) 12.1292 11.4625i 0.453924 0.428973i
\(715\) −1.93905 −0.0725164
\(716\) −8.47178 + 33.4475i −0.316605 + 1.24999i
\(717\) 1.12887 + 1.95527i 0.0421586 + 0.0730209i
\(718\) −5.54212 7.12088i −0.206830 0.265749i
\(719\) −18.9380 + 32.8015i −0.706267 + 1.22329i 0.259965 + 0.965618i \(0.416289\pi\)
−0.966232 + 0.257673i \(0.917044\pi\)
\(720\) −9.07547 + 5.57746i −0.338223 + 0.207860i
\(721\) −10.3914 + 22.7891i −0.386997 + 0.848712i
\(722\) −3.23185 23.3106i −0.120277 0.867529i
\(723\) −8.53793 + 14.7881i −0.317529 + 0.549976i
\(724\) 11.9465 + 11.6228i 0.443987 + 0.431958i
\(725\) −6.72114 + 3.88045i −0.249617 + 0.144116i
\(726\) 3.17087 7.80631i 0.117682 0.289719i
\(727\) 27.8236 1.03192 0.515960 0.856613i \(-0.327435\pi\)
0.515960 + 0.856613i \(0.327435\pi\)
\(728\) 8.24529 + 14.7726i 0.305591 + 0.547509i
\(729\) 10.4709 0.387813
\(730\) 5.85058 14.4035i 0.216540 0.533096i
\(731\) 49.0028 28.2918i 1.81243 1.04641i
\(732\) 4.03699 4.14940i 0.149212 0.153366i
\(733\) 9.92259 17.1864i 0.366499 0.634796i −0.622516 0.782607i \(-0.713890\pi\)
0.989016 + 0.147811i \(0.0472229\pi\)
\(734\) 5.46270 + 39.4012i 0.201632 + 1.45432i
\(735\) 0.773597 + 3.98879i 0.0285345 + 0.147129i
\(736\) 15.9884 13.1642i 0.589340 0.485241i
\(737\) 3.87517 6.71199i 0.142744 0.247239i
\(738\) 1.80509 + 2.31930i 0.0664464 + 0.0853746i
\(739\) 17.2053 + 29.8004i 0.632906 + 1.09623i 0.986955 + 0.160999i \(0.0514715\pi\)
−0.354048 + 0.935227i \(0.615195\pi\)
\(740\) −8.45534 2.14162i −0.310824 0.0787274i
\(741\) 7.83405 0.287791
\(742\) 46.3670 11.0302i 1.70219 0.404930i
\(743\) 23.5668i 0.864583i 0.901734 + 0.432292i \(0.142295\pi\)
−0.901734 + 0.432292i \(0.857705\pi\)
\(744\) −1.64044 + 14.8117i −0.0601416 + 0.543023i
\(745\) −0.613174 + 0.354016i −0.0224650 + 0.0129702i
\(746\) −11.8336 15.2046i −0.433260 0.556680i
\(747\) 10.5800 + 6.10835i 0.387101 + 0.223493i
\(748\) 3.58608 + 12.6842i 0.131120 + 0.463779i
\(749\) −17.5326 + 38.4502i −0.640626 + 1.40494i
\(750\) −0.813096 + 0.112730i −0.0296901 + 0.00411633i
\(751\) −0.519753 0.300079i −0.0189660 0.0109501i 0.490487 0.871449i \(-0.336819\pi\)
−0.509453 + 0.860498i \(0.670152\pi\)
\(752\) 1.45499 + 0.787581i 0.0530579 + 0.0287201i
\(753\) 2.10774 + 3.65071i 0.0768103 + 0.133039i
\(754\) 9.33792 22.9889i 0.340067 0.837205i
\(755\) 19.2131i 0.699235i
\(756\) 10.8813 13.5698i 0.395750 0.493529i
\(757\) 16.6446i 0.604957i 0.953156 + 0.302478i \(0.0978140\pi\)
−0.953156 + 0.302478i \(0.902186\pi\)
\(758\) −35.3831 14.3724i −1.28517 0.522027i
\(759\) −0.911350 1.57850i −0.0330799 0.0572961i
\(760\) −13.6052 10.0013i −0.493511 0.362784i
\(761\) 20.6135 + 11.9012i 0.747240 + 0.431419i 0.824696 0.565576i \(-0.191346\pi\)
−0.0774556 + 0.996996i \(0.524680\pi\)
\(762\) −0.205870 1.48489i −0.00745787 0.0537918i
\(763\) 18.5718 13.2412i 0.672344 0.479364i
\(764\) −7.34421 25.9769i −0.265704 0.939811i
\(765\) 17.7218 + 10.2317i 0.640733 + 0.369927i
\(766\) −27.4767 + 21.3849i −0.992772 + 0.772667i
\(767\) 17.5021 10.1048i 0.631963 0.364864i
\(768\) 7.77585 5.07807i 0.280587 0.183239i
\(769\) 9.41310i 0.339445i 0.985492 + 0.169722i \(0.0542871\pi\)
−0.985492 + 0.169722i \(0.945713\pi\)
\(770\) −3.07518 0.917847i −0.110822 0.0330769i
\(771\) −1.55311 −0.0559337
\(772\) 9.04561 35.7130i 0.325558 1.28534i
\(773\) 4.52236 + 7.83296i 0.162658 + 0.281732i 0.935821 0.352475i \(-0.114660\pi\)
−0.773163 + 0.634207i