Properties

Label 280.2.bj.e.171.3
Level $280$
Weight $2$
Character 280.171
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 171.3
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.e.131.3

$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

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

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 0.347820 0.937561i \(-0.386922\pi\)
−0.638042 + 0.770001i \(0.720256\pi\)
\(4\) 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 −0.794103 0.607783i \(-0.792059\pi\)
0.923407 + 0.383822i \(0.125392\pi\)
\(12\) −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 0.988435 + 0.151645i \(0.0484571\pi\)
0.625546 + 0.780187i \(0.284876\pi\)
\(18\) 2.97209 + 2.31316i 0.700529 + 0.545216i
\(19\) 5.17016 2.98499i 1.18612 0.684804i 0.228694 0.973498i \(-0.426554\pi\)
0.957421 + 0.288694i \(0.0932211\pi\)
\(20\) 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 −0.131581 0.991305i \(-0.542005\pi\)
0.792705 + 0.609605i \(0.208672\pi\)
\(24\) 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 \(0.256125\pi\)
−0.693370 + 0.720582i \(0.743875\pi\)
\(30\) 0.308921 + 0.760527i 0.0564010 + 0.138853i
\(31\) 4.53853 7.86097i 0.815144 1.41187i −0.0940797 0.995565i \(-0.529991\pi\)
0.909224 0.416307i \(-0.136676\pi\)
\(32\) 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 −0.777226 0.629222i \(-0.783374\pi\)
0.156309 + 0.987708i \(0.450040\pi\)
\(38\) −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 \(-0.980591\pi\)
0.998142 0.0609358i \(-0.0194085\pi\)
\(42\) 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 0.880714 0.473648i \(-0.157063\pi\)
−0.850548 + 0.525897i \(0.823730\pi\)
\(48\) −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 −0.999840 0.0179150i \(-0.994297\pi\)
−0.515435 0.856929i \(-0.672369\pi\)
\(54\) −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 −0.0973139 0.995254i \(-0.531025\pi\)
−0.910572 + 0.413351i \(0.864358\pi\)
\(60\) −0.809526 0.832067i −0.104509 0.107419i
\(61\) −2.49343 4.31875i −0.319251 0.552959i 0.661081 0.750315i \(-0.270098\pi\)
−0.980332 + 0.197355i \(0.936765\pi\)
\(62\) −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 0.446162 + 0.894952i \(0.352791\pi\)
−0.998132 + 0.0610886i \(0.980543\pi\)
\(68\) 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 \(0.172545\pi\)
−0.856645 + 0.515906i \(0.827455\pi\)
\(72\) 7.48656 0.829161i 0.882300 0.0977176i
\(73\) −9.52015 5.49646i −1.11425 0.643312i −0.174323 0.984689i \(-0.555774\pi\)
−0.939927 + 0.341376i \(0.889107\pi\)
\(74\) 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 −0.732704 0.680548i \(-0.761742\pi\)
0.223020 + 0.974814i \(0.428409\pi\)
\(80\) 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 \(0.0810120\pi\)
−0.967788 + 0.251768i \(0.918988\pi\)
\(84\) −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 −0.156552 0.987670i \(-0.550038\pi\)
0.777071 + 0.629413i \(0.216704\pi\)
\(90\) −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 \(0.0666574\pi\)
−0.978154 + 0.207883i \(0.933343\pi\)
\(98\) −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 −0.970828 0.239777i \(-0.922926\pi\)
0.693067 + 0.720873i \(0.256259\pi\)
\(102\) 4.97773 + 3.87413i 0.492869 + 0.383596i
\(103\) −4.73334 8.19839i −0.466390 0.807811i 0.532873 0.846195i \(-0.321112\pi\)
−0.999263 + 0.0383841i \(0.987779\pi\)
\(104\) 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 −0.936436 0.350838i \(-0.885897\pi\)
0.164384 0.986396i \(-0.447436\pi\)
\(108\) 4.58441 + 4.71207i 0.441135 + 0.453419i
\(109\) 7.46593 + 4.31046i 0.715107 + 0.412867i 0.812949 0.582335i \(-0.197861\pi\)
−0.0978424 + 0.995202i \(0.531194\pi\)
\(110\) −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 \(0.0258194\pi\)
−0.996712 + 0.0810251i \(0.974181\pi\)
\(128\) 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 −0.473963 0.880545i \(-0.657177\pi\)
0.525593 + 0.850736i \(0.323844\pi\)
\(132\) −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 −0.990405 0.138196i \(-0.955870\pi\)
0.614883 + 0.788618i \(0.289203\pi\)
\(138\) 2.78440 1.13100i 0.237024 0.0962773i
\(139\) 8.43738i 0.715649i 0.933789 + 0.357825i \(0.116481\pi\)
−0.933789 + 0.357825i \(0.883519\pi\)
\(140\) 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 −0.524906 0.851160i \(-0.675900\pi\)
0.474673 + 0.880162i \(0.342566\pi\)
\(150\) −0.504175 + 0.647797i −0.0411658 + 0.0528924i
\(151\) −16.6390 9.60653i −1.35406 0.781768i −0.365247 0.930911i \(-0.619015\pi\)
−0.988816 + 0.149142i \(0.952349\pi\)
\(152\) 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 −0.441523 0.897250i \(-0.645562\pi\)
0.997803 0.0662551i \(-0.0211051\pi\)
\(158\) 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 0.967369 0.253371i \(-0.0815394\pi\)
−0.703110 + 0.711081i \(0.748206\pi\)
\(164\) −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 0.967460 0.253023i \(-0.0814249\pi\)
−0.702855 + 0.711334i \(0.748092\pi\)
\(174\) −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 −0.339630 0.940559i \(-0.610302\pi\)
0.984363 0.176151i \(-0.0563647\pi\)
\(180\) −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 −0.859233 0.511585i \(-0.829059\pi\)
0.0134293 + 0.999910i \(0.495725\pi\)
\(192\) 1.01612 + 4.53103i 0.0733319 + 0.326999i
\(193\) −9.21020 + 15.9525i −0.662965 + 1.14829i 0.316868 + 0.948470i \(0.397369\pi\)
−0.979833 + 0.199819i \(0.935965\pi\)
\(194\) −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 \(-0.936533\pi\)
0.980188 0.198069i \(-0.0634671\pi\)
\(198\) 2.99279 1.21565i 0.212688 0.0863924i
\(199\) 0.859626 1.48892i 0.0609373 0.105546i −0.833947 0.551844i \(-0.813924\pi\)
0.894885 + 0.446298i \(0.147258\pi\)
\(200\) −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 0.432637 0.901568i \(-0.357583\pi\)
−0.564462 + 0.825459i \(0.690916\pi\)
\(228\) −4.96743 + 4.83286i −0.328976 + 0.320064i
\(229\) −0.738857 1.27974i −0.0488251 0.0845675i 0.840580 0.541687i \(-0.182214\pi\)
−0.889405 + 0.457120i \(0.848881\pi\)
\(230\) −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 −0.999710 0.0240666i \(-0.992339\pi\)
0.479013 0.877808i \(-0.340995\pi\)
\(234\) −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 \(0.0401502\pi\)
−0.992055 + 0.125801i \(0.959850\pi\)
\(240\) −2.32091 0.0637510i −0.149814 0.00411511i
\(241\) 25.4772 + 14.7093i 1.64113 + 0.947507i 0.980432 + 0.196856i \(0.0630730\pi\)
0.660698 + 0.750652i \(0.270260\pi\)
\(242\) −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 \(0.0736116\pi\)
−0.973379 + 0.229202i \(0.926388\pi\)
\(252\) −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 −0.425983 0.904731i \(-0.640072\pi\)
0.570528 + 0.821278i \(0.306738\pi\)
\(258\) 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 −0.452497 0.891766i \(-0.649467\pi\)
−0.998540 + 0.0540095i \(0.982800\pi\)
\(264\) −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 −0.118569 0.992946i \(-0.537831\pi\)
0.919201 0.393789i \(-0.128836\pi\)
\(270\) 2.85519 3.66853i 0.173761 0.223259i
\(271\) 1.48034 + 2.56402i 0.0899240 + 0.155753i 0.907479 0.420098i \(-0.138004\pi\)
−0.817555 + 0.575851i \(0.804671\pi\)
\(272\) 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 0.345174 0.938539i \(-0.387820\pi\)
−0.640211 + 0.768199i \(0.721153\pi\)
\(278\) −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 0.824653 0.565638i \(-0.191370\pi\)
−0.0775305 + 0.996990i \(0.524704\pi\)
\(284\) 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 \(0.166627\pi\)
−0.866088 + 0.499891i \(0.833373\pi\)
\(308\) −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 −0.904438 0.426606i \(-0.859709\pi\)
0.821670 + 0.569963i \(0.193043\pi\)
\(312\) −2.99050 + 2.19834i −0.169304 + 0.124457i
\(313\) −19.1504 + 11.0565i −1.08244 + 0.624950i −0.931555 0.363601i \(-0.881547\pi\)
−0.150890 + 0.988551i \(0.548214\pi\)
\(314\) −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 −0.878536 0.477677i \(-0.841479\pi\)
−0.0255873 + 0.999673i \(0.508146\pi\)
\(318\) −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 0.792351 0.610066i \(-0.208857\pi\)
−0.924508 + 0.381163i \(0.875524\pi\)
\(332\) 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 −0.190153 0.981755i \(-0.560898\pi\)
0.945301 0.326200i \(-0.105768\pi\)
\(348\) −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 0.422642 0.906297i \(-0.361103\pi\)
−0.573555 + 0.819167i \(0.694436\pi\)
\(354\) −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 −0.347044 0.937849i \(-0.612815\pi\)
0.638679 + 0.769473i \(0.279481\pi\)
\(360\) 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 0.220993 + 0.975276i \(0.429070\pi\)
−0.955110 + 0.296253i \(0.904263\pi\)
\(368\) −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 −0.162415 0.986723i \(-0.551928\pi\)
0.773320 + 0.634017i \(0.218595\pi\)
\(374\) −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 0.987751 + 0.156039i \(0.0498726\pi\)
−0.358741 + 0.933437i \(0.616794\pi\)
\(384\) −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 0.736127 0.676844i \(-0.236653\pi\)
−0.218101 + 0.975926i \(0.569986\pi\)
\(390\) −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 0.993714 + 0.111949i \(0.0357095\pi\)
−0.399906 + 0.916556i \(0.630957\pi\)
\(398\) −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 0.956771 + 0.290844i \(0.0939360\pi\)
−0.226507 + 0.974009i \(0.572731\pi\)
\(402\) −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 0.299663 0.954045i \(-0.403126\pi\)
−0.676396 + 0.736538i \(0.736459\pi\)
\(410\) −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 \(0.108921\pi\)
−0.942023 + 0.335547i \(0.891079\pi\)
\(420\) −1.92145 2.39619i −0.0937571 0.116922i
\(421\) 12.5052i 0.609467i 0.952438 + 0.304734i \(0.0985675\pi\)
−0.952438 + 0.304734i \(0.901433\pi\)
\(422\) 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 0.875024 0.484080i \(-0.160846\pi\)
0.0182864 + 0.999833i \(0.494179\pi\)
\(432\) 13.1435 + 0.361027i 0.632366 + 0.0173699i
\(433\) 32.5232i 1.56297i −0.623926 0.781484i \(-0.714463\pi\)
0.623926 0.781484i \(-0.285537\pi\)
\(434\) −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 −0.989358 0.145503i \(-0.953520\pi\)
0.368670 0.929560i \(-0.379813\pi\)
\(440\) −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 0.808471 0.588537i \(-0.200296\pi\)
−0.913923 + 0.405888i \(0.866962\pi\)
\(444\) 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 0.929380 0.369124i \(-0.120342\pi\)
−0.784361 + 0.620305i \(0.787009\pi\)
\(458\) 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 \(0.0629399\pi\)
−0.980515 + 0.196445i \(0.937060\pi\)
\(464\) 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 −0.810789 0.585339i \(-0.800962\pi\)
0.101524 + 0.994833i \(0.467628\pi\)
\(468\) 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 −0.291834 0.956469i \(-0.594266\pi\)
0.974244 0.225498i \(-0.0724010\pi\)
\(480\) 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 0.697245 0.716833i \(-0.254409\pi\)
−0.272173 + 0.962248i \(0.587742\pi\)
\(488\) 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 −0.997772 0.0667197i \(-0.978747\pi\)
0.441105 0.897456i \(-0.354587\pi\)
\(500\) −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 −0.993756 0.111578i \(-0.964409\pi\)
0.400248 0.916407i \(-0.368924\pi\)
\(510\) −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 0.658693 0.752412i \(-0.271110\pi\)
−0.322262 + 0.946651i \(0.604443\pi\)
\(522\) −17.9522 + 23.0661i −0.785746 + 1.00958i
\(523\) −31.3535 + 18.1020i −1.37099 + 0.791544i −0.991053 0.133467i \(-0.957389\pi\)
−0.379941 + 0.925011i \(0.624056\pi\)
\(524\) 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 −0.361035 0.932552i \(-0.617576\pi\)
0.627097 + 0.778941i \(0.284243\pi\)
\(542\) −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 0.162484 0.986711i \(-0.448049\pi\)
−0.773275 + 0.634071i \(0.781383\pi\)
\(558\) 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 0.123249 0.992376i \(-0.460669\pi\)
−0.797798 + 0.602925i \(0.794002\pi\)
\(564\) −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 −0.983925 0.178583i \(-0.942849\pi\)
0.337305 0.941395i \(-0.390485\pi\)
\(570\) 3.86734 + 3.00992i 0.161985 + 0.126072i
\(571\) 15.9507 27.6274i 0.667515 1.15617i −0.311082 0.950383i \(-0.600692\pi\)
0.978597 0.205786i \(-0.0659751\pi\)
\(572\) 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 0.501852 0.864953i \(-0.332652\pi\)
−0.498145 + 0.867093i \(0.665985\pi\)
\(578\) −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 \(0.113221\pi\)
−0.937405 + 0.348241i \(0.886779\pi\)
\(588\) −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 −0.701146 0.713018i \(-0.747328\pi\)
0.266919 + 0.963719i \(0.413994\pi\)
\(594\) −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 0.557286 0.830320i \(-0.311843\pi\)
−0.440436 + 0.897784i \(0.645176\pi\)
\(600\) 0.180724 + 1.63177i 0.00737802 + 0.0666167i
\(601\) 1.17354i 0.0478696i 0.999714 + 0.0239348i \(0.00761942\pi\)
−0.999714 + 0.0239348i \(0.992381\pi\)
\(602\) −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 −0.929258 0.369432i \(-0.879552\pi\)
0.144691 0.989477i \(-0.453781\pi\)
\(608\) 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 0.613500 0.789695i \(-0.289761\pi\)
−0.377146 + 0.926154i \(0.623094\pi\)
\(614\) −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 −0.984859 0.173357i \(-0.944539\pi\)
−0.642561 0.766234i \(-0.722128\pi\)
\(620\) 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 \(-0.818240\pi\)
0.841352 0.540488i \(-0.181760\pi\)
\(632\) −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 −0.987530 0.157432i \(-0.949679\pi\)
0.630105 + 0.776510i \(0.283012\pi\)
\(642\) −4.93419 12.1474i −0.194737 0.479420i
\(643\) 28.6157i 1.12849i −0.825606 0.564247i \(-0.809167\pi\)
0.825606 0.564247i \(-0.190833\pi\)
\(644\) 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 −0.945302 0.326195i \(-0.894233\pi\)
0.755145 + 0.655558i \(0.227567\pi\)
\(648\) −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 −0.417267 0.908784i \(-0.637012\pi\)
0.578397 + 0.815755i \(0.303679\pi\)
\(654\) 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 −0.999993 0.00381217i \(-0.998787\pi\)
0.503298 + 0.864113i \(0.332120\pi\)
\(662\) 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 0.844868 0.534975i \(-0.179679\pi\)
−0.885736 + 0.464189i \(0.846346\pi\)
\(678\) −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 −0.454389 0.890803i \(-0.650142\pi\)
0.998653 0.0518890i \(-0.0165242\pi\)
\(684\) −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 −0.0531518 0.998586i \(-0.516927\pi\)
0.838225 + 0.545324i \(0.183593\pi\)
\(692\) 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 \(0.249525\pi\)
−0.708162 + 0.706050i \(0.750475\pi\)
\(702\) 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 −0.997028 0.0770416i \(-0.975453\pi\)
−0.431794 + 0.901972i \(0.642119\pi\)
\(710\) 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 −0.966232 0.257673i \(-0.917044\pi\)
0.259965 0.965618i \(-0.416289\pi\)
\(720\) −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 0.989016 0.147811i \(-0.0472229\pi\)
−0.622516 + 0.782607i \(0.713890\pi\)
\(734\) 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 −0.354048 0.935227i \(-0.615195\pi\)
0.986955 0.160999i \(-0.0514715\pi\)
\(740\) −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 \(-0.857705\pi\)
0.901734 0.432292i \(-0.142295\pi\)
\(744\) −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 −0.509453 0.860498i \(-0.670152\pi\)
0.490487 + 0.871449i \(0.336819\pi\)
\(752\) 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 \(-0.902186\pi\)
0.953156 0.302478i \(-0.0978140\pi\)
\(758\) −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 −0.0774556 0.996996i \(-0.524680\pi\)
0.824696 + 0.565576i \(0.191346\pi\)
\(762\) −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 \(-0.945713\pi\)
0.985492 0.169722i \(-0.0542871\pi\)
\(770\) −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 −0.773163 0.634207i \(-0.781327\pi\)
0.935821 + 0.352475i \(0.1