Properties

Label 280.2.bj.f.131.10
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 131.10
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.f.171.10

$q$-expansion

\(f(q)\) \(=\) \(q+(1.11603 + 0.868601i) q^{2} +(-0.502680 + 0.290223i) q^{3} +(0.491065 + 1.93878i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(-0.813096 - 0.112730i) q^{6} +(-2.63362 + 0.253028i) q^{7} +(-1.13598 + 2.59028i) q^{8} +(-1.33154 + 2.30630i) q^{9} +O(q^{10})\) \(q+(1.11603 + 0.868601i) q^{2} +(-0.502680 + 0.290223i) q^{3} +(0.491065 + 1.93878i) 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} +(-1.31025 + 0.532213i) q^{10} +(0.428852 + 0.742794i) q^{11} +(-0.809526 - 0.832067i) q^{12} +2.26075 q^{13} +(-3.15900 - 2.00518i) q^{14} -0.580445i q^{15} +(-3.51771 + 1.90413i) q^{16} +(6.65461 - 3.84204i) q^{17} +(-3.48930 + 1.41733i) 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} +(-0.180724 - 1.63177i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(2.52307 + 1.96369i) q^{26} -3.28711i q^{27} +(-1.78385 - 4.98176i) q^{28} +7.76090i q^{29} +(0.504175 - 0.647797i) q^{30} +(-4.53853 - 7.86097i) q^{31} +(-5.57981 - 0.930414i) 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} +(3.17731 + 7.82216i) q^{38} +(-1.13643 + 0.656120i) q^{39} +(-1.67526 - 2.27893i) q^{40} +0.780359i q^{41} +(2.16991 + 0.0911527i) q^{42} +7.36373 q^{43} +(-1.22952 + 1.19621i) q^{44} +(-1.33154 - 2.30630i) q^{45} +(-1.94851 - 4.79700i) 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} +(1.11017 + 4.38308i) q^{52} +(11.0314 - 6.36896i) q^{53} +(2.85519 - 3.66853i) q^{54} -0.857704 q^{55} +(2.33633 - 7.10926i) q^{56} -3.46525 q^{57} +(-6.74113 + 8.66143i) q^{58} +(-7.74172 + 4.46968i) q^{59} +(1.12535 - 0.285036i) 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} +(-0.264963 - 0.652308i) q^{66} +(-4.51807 - 7.82553i) q^{67} +(10.7167 + 11.0151i) q^{68} +2.12509 q^{69} +(3.31603 - 1.73318i) q^{70} +8.69420i q^{71} +(-4.46135 - 6.06897i) q^{72} +(-9.52015 + 5.49646i) q^{73} +(2.32107 + 5.71422i) 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} +(0.109831 - 3.99849i) q^{80} +(-3.04063 - 5.26653i) q^{81} +(-0.677821 + 0.870908i) q^{82} -4.58743i q^{83} +(2.34252 + 1.98652i) q^{84} +7.68409i q^{85} +(8.21818 + 6.39615i) q^{86} +(-2.25239 - 3.90126i) q^{87} +(-2.41121 + 0.267050i) 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} +(-0.541941 + 0.220133i) q^{94} +(-5.17016 + 2.98499i) q^{95} +(3.07489 - 1.15169i) q^{96} -4.09482i q^{97} +(8.82697 + 4.48158i) q^{98} -2.28414 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.11603 + 0.868601i 0.789155 + 0.614194i
\(3\) −0.502680 + 0.290223i −0.290223 + 0.167560i −0.638042 0.770001i \(-0.720256\pi\)
0.347820 + 0.937561i \(0.386922\pi\)
\(4\) 0.491065 + 1.93878i 0.245532 + 0.969388i
\(5\) −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
\(10\) −1.31025 + 0.532213i −0.414337 + 0.168301i
\(11\) 0.428852 + 0.742794i 0.129304 + 0.223961i 0.923407 0.383822i \(-0.125392\pi\)
−0.794103 + 0.607783i \(0.792059\pi\)
\(12\) −0.809526 0.832067i −0.233690 0.240197i
\(13\) 2.26075 0.627018 0.313509 0.949585i \(-0.398495\pi\)
0.313509 + 0.949585i \(0.398495\pi\)
\(14\) −3.15900 2.00518i −0.844277 0.535907i
\(15\) 0.580445i 0.149870i
\(16\) −3.51771 + 1.90413i −0.879428 + 0.476032i
\(17\) 6.65461 3.84204i 1.61398 0.931832i 0.625546 0.780187i \(-0.284876\pi\)
0.988435 0.151645i \(-0.0484571\pi\)
\(18\) −3.48930 + 1.41733i −0.822436 + 0.334068i
\(19\) 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 0.131581 0.991305i \(-0.457995\pi\)
−0.792705 + 0.609605i \(0.791328\pi\)
\(24\) −0.180724 1.63177i −0.0368901 0.333084i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) 2.52307 + 1.96369i 0.494815 + 0.385111i
\(27\) 3.28711i 0.632605i
\(28\) −1.78385 4.98176i −0.337115 0.941463i
\(29\) 7.76090i 1.44116i 0.693370 + 0.720582i \(0.256125\pi\)
−0.693370 + 0.720582i \(0.743875\pi\)
\(30\) 0.504175 0.647797i 0.0920494 0.118271i
\(31\) −4.53853 7.86097i −0.815144 1.41187i −0.909224 0.416307i \(-0.863324\pi\)
0.0940797 0.995565i \(-0.470009\pi\)
\(32\) −5.57981 0.930414i −0.986381 0.164475i
\(33\) −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 \(-0.216626\pi\)
−0.156309 + 0.987708i \(0.549960\pi\)
\(38\) 3.17731 + 7.82216i 0.515427 + 1.26892i
\(39\) −1.13643 + 0.656120i −0.181975 + 0.105063i
\(40\) −1.67526 2.27893i −0.264882 0.360330i
\(41\) 0.780359i 0.121872i 0.998142 + 0.0609358i \(0.0194085\pi\)
−0.998142 + 0.0609358i \(0.980591\pi\)
\(42\) 2.16991 + 0.0911527i 0.334825 + 0.0140652i
\(43\) 7.36373 1.12296 0.561479 0.827491i \(-0.310232\pi\)
0.561479 + 0.827491i \(0.310232\pi\)
\(44\) −1.22952 + 1.19621i −0.185357 + 0.180335i
\(45\) −1.33154 2.30630i −0.198494 0.343803i
\(46\) −1.94851 4.79700i −0.287292 0.707279i
\(47\) −0.206809 + 0.358203i −0.0301662 + 0.0522493i −0.880714 0.473648i \(-0.842937\pi\)
0.850548 + 0.525897i \(0.176270\pi\)
\(48\) 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
\(52\) 1.11017 + 4.38308i 0.153953 + 0.607824i
\(53\) 11.0314 6.36896i 1.51527 0.874844i 0.515435 0.856929i \(-0.327631\pi\)
0.999840 0.0179150i \(-0.00570283\pi\)
\(54\) 2.85519 3.66853i 0.388542 0.499223i
\(55\) −0.857704 −0.115653
\(56\) 2.33633 7.10926i 0.312205 0.950015i
\(57\) −3.46525 −0.458984
\(58\) −6.74113 + 8.66143i −0.885154 + 1.13730i
\(59\) −7.74172 + 4.46968i −1.00789 + 0.581903i −0.910572 0.413351i \(-0.864358\pi\)
−0.0973139 + 0.995254i \(0.531025\pi\)
\(60\) 1.12535 0.285036i 0.145283 0.0367980i
\(61\) 2.49343 4.31875i 0.319251 0.552959i −0.661081 0.750315i \(-0.729902\pi\)
0.980332 + 0.197355i \(0.0632353\pi\)
\(62\) 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
\(66\) −0.264963 0.652308i −0.0326147 0.0802935i
\(67\) −4.51807 7.82553i −0.551970 0.956041i −0.998132 0.0610886i \(-0.980543\pi\)
0.446162 0.894952i \(-0.352791\pi\)
\(68\) 10.7167 + 11.0151i 1.29959 + 1.33578i
\(69\) 2.12509 0.255831
\(70\) 3.31603 1.73318i 0.396342 0.207155i
\(71\) 8.69420i 1.03181i 0.856645 + 0.515906i \(0.172545\pi\)
−0.856645 + 0.515906i \(0.827455\pi\)
\(72\) −4.46135 6.06897i −0.525776 0.715235i
\(73\) −9.52015 + 5.49646i −1.11425 + 0.643312i −0.939927 0.341376i \(-0.889107\pi\)
−0.174323 + 0.984689i \(0.555774\pi\)
\(74\) 2.32107 + 5.71422i 0.269819 + 0.664264i
\(75\) 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 \(-0.238258\pi\)
−0.223020 + 0.974814i \(0.571591\pi\)
\(80\) 0.109831 3.99849i 0.0122795 0.447045i
\(81\) −3.04063 5.26653i −0.337848 0.585170i
\(82\) −0.677821 + 0.870908i −0.0748528 + 0.0961757i
\(83\) 4.58743i 0.503536i −0.967788 0.251768i \(-0.918988\pi\)
0.967788 0.251768i \(-0.0810120\pi\)
\(84\) 2.34252 + 1.98652i 0.255590 + 0.216747i
\(85\) 7.68409i 0.833456i
\(86\) 8.21818 + 6.39615i 0.886189 + 0.689714i
\(87\) −2.25239 3.90126i −0.241482 0.418258i
\(88\) −2.41121 + 0.267050i −0.257036 + 0.0284676i
\(89\) 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
\(94\) −0.541941 + 0.220133i −0.0558970 + 0.0227050i
\(95\) −5.17016 + 2.98499i −0.530447 + 0.306254i
\(96\) 3.07489 1.15169i 0.313830 0.117544i
\(97\) 4.09482i 0.415766i −0.978154 0.207883i \(-0.933343\pi\)
0.978154 0.207883i \(-0.0666574\pi\)
\(98\) 8.82697 + 4.48158i 0.891659 + 0.452707i
\(99\) −2.28414 −0.229565
\(100\) 1.43350 1.39466i 0.143350 0.139466i
\(101\) 2.79146 + 4.83495i 0.277761 + 0.481096i 0.970828 0.239777i \(-0.0770744\pi\)
−0.693067 + 0.720873i \(0.743741\pi\)
\(102\) −5.84396 + 2.37377i −0.578638 + 0.235039i
\(103\) 4.73334 8.19839i 0.466390 0.807811i −0.532873 0.846195i \(-0.678888\pi\)
0.999263 + 0.0383841i \(0.0122211\pi\)
\(104\) −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 \(0.885897\pi\)
\(108\) 6.37297 1.61418i 0.613240 0.155325i
\(109\) −7.46593 + 4.31046i −0.715107 + 0.412867i −0.812949 0.582335i \(-0.802139\pi\)
0.0978424 + 0.995202i \(0.468806\pi\)
\(110\) −0.957227 0.745003i −0.0912681 0.0710332i
\(111\) −2.53142 −0.240272
\(112\) 8.78253 5.90484i 0.829871 0.557955i
\(113\) −9.49155 −0.892890 −0.446445 0.894811i \(-0.647310\pi\)
−0.446445 + 0.894811i \(0.647310\pi\)
\(114\) −3.86734 3.00992i −0.362209 0.281905i
\(115\) 3.17064 1.83057i 0.295664 0.170701i
\(116\) −15.0467 + 3.81111i −1.39705 + 0.353852i
\(117\) −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
\(122\) 6.53402 2.65408i 0.591563 0.240289i
\(123\) −0.226478 0.392271i −0.0204208 0.0353699i
\(124\) 13.0120 12.6594i 1.16851 1.13685i
\(125\) 1.00000 0.0894427
\(126\) 8.83088 4.61560i 0.786717 0.411191i
\(127\) 1.82621i 0.162050i 0.996712 + 0.0810251i \(0.0258194\pi\)
−0.996712 + 0.0810251i \(0.974181\pi\)
\(128\) −0.936185 11.2749i −0.0827478 0.996571i
\(129\) −3.70160 + 2.13712i −0.325908 + 0.188163i
\(130\) −2.96214 + 1.20320i −0.259797 + 0.105528i
\(131\) 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
\(136\) 2.39247 + 21.6018i 0.205153 + 1.85234i
\(137\) −4.39537 7.61300i −0.375521 0.650422i 0.614883 0.788618i \(-0.289203\pi\)
−0.990405 + 0.138196i \(0.955870\pi\)
\(138\) 2.37167 + 1.84586i 0.201890 + 0.157130i
\(139\) 8.43738i 0.715649i −0.933789 0.357825i \(-0.883519\pi\)
0.933789 0.357825i \(-0.116481\pi\)
\(140\) 5.20625 + 0.946023i 0.440008 + 0.0799535i
\(141\) 0.240082i 0.0202186i
\(142\) −7.55179 + 9.70302i −0.633732 + 0.814260i
\(143\) 0.969526 + 1.67927i 0.0810758 + 0.140427i
\(144\) 0.292489 10.6483i 0.0243741 0.887360i
\(145\) −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 \(-0.324100\pi\)
−0.474673 + 0.880162i \(0.657434\pi\)
\(150\) 0.308921 + 0.760527i 0.0252233 + 0.0620968i
\(151\) 16.6390 9.60653i 1.35406 0.781768i 0.365247 0.930911i \(-0.380985\pi\)
0.988816 + 0.149142i \(0.0476513\pi\)
\(152\) −13.6052 + 10.0013i −1.10352 + 0.811210i
\(153\) 20.4634i 1.65436i
\(154\) 0.134693 3.20641i 0.0108539 0.258380i
\(155\) 9.07706 0.729087
\(156\) −1.83013 1.88109i −0.146528 0.150608i
\(157\) −6.97017 12.0727i −0.556280 0.963505i −0.997803 0.0662551i \(-0.978895\pi\)
0.441523 0.897250i \(-0.354438\pi\)
\(158\) 2.78401 + 6.85390i 0.221484 + 0.545267i
\(159\) −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 \(0.0815394\pi\)
\(164\) −1.51294 + 0.383207i −0.118141 + 0.0299234i
\(165\) 0.431151 0.248925i 0.0335651 0.0193788i
\(166\) 3.98465 5.11973i 0.309269 0.397368i
\(167\) −0.766416 −0.0593071 −0.0296535 0.999560i \(-0.509440\pi\)
−0.0296535 + 0.999560i \(0.509440\pi\)
\(168\) 0.888843 + 4.25174i 0.0685757 + 0.328029i
\(169\) −7.88903 −0.606848
\(170\) −6.67441 + 8.57570i −0.511904 + 0.657726i
\(171\) −13.7686 + 7.94928i −1.05291 + 0.607897i
\(172\) 3.61607 + 14.2766i 0.275723 + 1.08858i
\(173\) −3.48034 + 6.02813i −0.264606 + 0.458311i −0.967460 0.253023i \(-0.918575\pi\)
0.702855 + 0.711334i \(0.251908\pi\)
\(174\) 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
\(178\) 3.59754 + 8.85672i 0.269647 + 0.663839i
\(179\) 8.62594 + 14.9406i 0.644733 + 1.11671i 0.984363 + 0.176151i \(0.0563647\pi\)
−0.339630 + 0.940559i \(0.610302\pi\)
\(180\) 3.81752 3.71410i 0.284541 0.276833i
\(181\) −8.33378 −0.619445 −0.309723 0.950827i \(-0.600236\pi\)
−0.309723 + 0.950827i \(0.600236\pi\)
\(182\) −7.14169 4.53320i −0.529377 0.336023i
\(183\) 2.89460i 0.213975i
\(184\) 8.34347 6.13336i 0.615089 0.452157i
\(185\) −3.77689 + 2.18059i −0.277682 + 0.160320i
\(186\) 2.80409 + 6.90335i 0.205606 + 0.506179i
\(187\) 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 \(-0.170941\pi\)
−0.0134293 + 0.999910i \(0.504275\pi\)
\(192\) 4.43204 + 1.38553i 0.319855 + 0.0999920i
\(193\) −9.21020 15.9525i −0.662965 1.14829i −0.979833 0.199819i \(-0.935965\pi\)
0.316868 0.948470i \(-0.397369\pi\)
\(194\) 3.55677 4.56996i 0.255361 0.328104i
\(195\) 1.31224i 0.0939714i
\(196\) 5.95850 + 12.6687i 0.425607 + 0.904908i
\(197\) 5.56007i 0.396139i −0.980188 0.198069i \(-0.936533\pi\)
0.980188 0.198069i \(-0.0634671\pi\)
\(198\) −2.54918 1.98400i −0.181162 0.140997i
\(199\) −0.859626 1.48892i −0.0609373 0.105546i 0.833947 0.551844i \(-0.186076\pi\)
−0.894885 + 0.446298i \(0.852742\pi\)
\(200\) 2.81124 0.311354i 0.198785 0.0220160i
\(201\) 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
\(206\) 12.4037 5.03829i 0.864206 0.351035i
\(207\) 8.44368 4.87496i 0.586876 0.338833i
\(208\) −7.95265 + 4.30475i −0.551417 + 0.298481i
\(209\) 5.12048i 0.354191i
\(210\) −1.16390 + 1.83362i −0.0803166 + 0.126532i
\(211\) −4.20177 −0.289262 −0.144631 0.989486i \(-0.546200\pi\)
−0.144631 + 0.989486i \(0.546200\pi\)
\(212\) 17.7651 + 18.2598i 1.22011 + 1.25409i
\(213\) −2.52325 4.37040i −0.172891 0.299455i
\(214\) −20.9277 + 8.50070i −1.43059 + 0.581096i
\(215\) −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
\(220\) −0.421188 1.66290i −0.0283965 0.112113i
\(221\) 15.0444 8.68588i 1.01200 0.584276i
\(222\) −2.82515 2.19880i −0.189612 0.147574i
\(223\) −1.62540 −0.108845 −0.0544224 0.998518i \(-0.517332\pi\)
−0.0544224 + 0.998518i \(0.517332\pi\)
\(224\) 14.9306 + 1.03851i 0.997590 + 0.0693883i
\(225\) 2.66308 0.177539
\(226\) −10.5929 8.24437i −0.704629 0.548408i
\(227\) −1.98615 + 1.14670i −0.131825 + 0.0761093i −0.564462 0.825459i \(-0.690916\pi\)
0.432637 + 0.901568i \(0.357583\pi\)
\(228\) −1.70166 6.71835i −0.112695 0.444933i
\(229\) 0.738857 1.27974i 0.0488251 0.0845675i −0.840580 0.541687i \(-0.817786\pi\)
0.889405 + 0.457120i \(0.151119\pi\)
\(230\) 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 \(0.992339\pi\)
\(234\) −7.88842 + 3.20422i −0.515682 + 0.209466i
\(235\) −0.206809 0.358203i −0.0134907 0.0233666i
\(236\) −12.4674 12.8146i −0.811559 0.834157i
\(237\) −3.03631 −0.197229
\(238\) −28.7259 1.20670i −1.86202 0.0782190i
\(239\) 3.88969i 0.251603i 0.992055 + 0.125801i \(0.0401502\pi\)
−0.992055 + 0.125801i \(0.959850\pi\)
\(240\) 1.10524 + 2.04184i 0.0713431 + 0.131800i
\(241\) 25.4772 14.7093i 1.64113 0.947507i 0.660698 0.750652i \(-0.270260\pi\)
0.980432 0.196856i \(-0.0630730\pi\)
\(242\) 13.4488 5.46282i 0.864524 0.351163i
\(243\) 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
\(248\) 25.5178 2.82618i 1.62038 0.179463i
\(249\) 1.33138 + 2.30601i 0.0843726 + 0.146138i
\(250\) 1.11603 + 0.868601i 0.0705842 + 0.0549352i
\(251\) 7.26249i 0.458404i −0.973379 0.229202i \(-0.926388\pi\)
0.973379 0.229202i \(-0.0736116\pi\)
\(252\) 13.8647 + 2.51934i 0.873393 + 0.158703i
\(253\) 3.14018i 0.197421i
\(254\) −1.58625 + 2.03812i −0.0995302 + 0.127883i
\(255\) −2.23010 3.86264i −0.139654 0.241888i
\(256\) 8.74858 13.3964i 0.546786 0.837272i
\(257\) 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
\(262\) 0.363155 + 0.894046i 0.0224358 + 0.0552344i
\(263\) 23.5319 13.5861i 1.45104 0.837757i 0.452497 0.891766i \(-0.350533\pi\)
0.998540 + 0.0540095i \(0.0172001\pi\)
\(264\) 1.13456 0.834029i 0.0698276 0.0513309i
\(265\) 12.7379i 0.782484i
\(266\) −10.3471 19.7967i −0.634419 1.21381i
\(267\) −3.92357 −0.240118
\(268\) 12.9533 12.6024i 0.791248 0.769813i
\(269\) −13.1313 22.7441i −0.800632 1.38673i −0.919201 0.393789i \(-0.871164\pi\)
0.118569 0.992946i \(-0.462169\pi\)
\(270\) 1.74944 + 4.30693i 0.106468 + 0.262111i
\(271\) −1.48034 + 2.56402i −0.0899240 + 0.155753i −0.907479 0.420098i \(-0.861996\pi\)
0.817555 + 0.575851i \(0.195329\pi\)
\(272\) −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
\(276\) 1.04356 + 4.12008i 0.0628148 + 0.248000i
\(277\) 4.91040 2.83502i 0.295037 0.170340i −0.345174 0.938539i \(-0.612180\pi\)
0.640211 + 0.768199i \(0.278847\pi\)
\(278\) 7.32872 9.41641i 0.439547 0.564759i
\(279\) 24.1730 1.44720
\(280\) 4.98864 + 5.57795i 0.298128 + 0.333346i
\(281\) −14.7250 −0.878417 −0.439209 0.898385i \(-0.644741\pi\)
−0.439209 + 0.898385i \(0.644741\pi\)
\(282\) 0.208536 0.267940i 0.0124181 0.0159556i
\(283\) 12.5686 7.25646i 0.747123 0.431352i −0.0775305 0.996990i \(-0.524704\pi\)
0.824653 + 0.565638i \(0.191370\pi\)
\(284\) −16.8561 + 4.26941i −1.00023 + 0.253343i
\(285\) 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
\(290\) −4.13046 10.1687i −0.242549 0.597127i
\(291\) 1.18841 + 2.05839i 0.0696659 + 0.120665i
\(292\) −15.3314 15.7583i −0.897204 0.922187i
\(293\) 8.13913 0.475493 0.237747 0.971327i \(-0.423591\pi\)
0.237747 + 0.971327i \(0.423591\pi\)
\(294\) −5.73780 + 0.308988i −0.334635 + 0.0180205i
\(295\) 8.93937i 0.520470i
\(296\) −9.93879 + 7.30609i −0.577680 + 0.424658i
\(297\) 2.44165 1.40968i 0.141679 0.0817982i
\(298\) 0.376825 + 0.927698i 0.0218289 + 0.0537401i
\(299\) −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
\(304\) −23.8709 0.655690i −1.36909 0.0376064i
\(305\) 2.49343 + 4.31875i 0.142773 + 0.247291i
\(306\) −17.7745 + 22.8378i −1.01610 + 1.30555i
\(307\) 17.5176i 0.999782i −0.866088 0.499891i \(-0.833373\pi\)
0.866088 0.499891i \(-0.166627\pi\)
\(308\) 2.93541 3.46147i 0.167261 0.197235i
\(309\) 5.49489i 0.312593i
\(310\) 10.1303 + 7.88435i 0.575363 + 0.447801i
\(311\) 1.45962 + 2.52814i 0.0827676 + 0.143358i 0.904438 0.426606i \(-0.140291\pi\)
−0.821670 + 0.569963i \(0.806957\pi\)
\(312\) −0.408571 3.68902i −0.0231308 0.208850i
\(313\) −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 0.878536 0.477677i \(-0.158521\pi\)
0.0255873 + 0.999673i \(0.491854\pi\)
\(318\) −9.68753 + 3.93501i −0.543250 + 0.220664i
\(319\) −5.76475 + 3.32828i −0.322764 + 0.186348i
\(320\) 7.80612 1.75058i 0.436375 0.0978604i
\(321\) 9.27108i 0.517461i
\(322\) 6.34541 + 12.1405i 0.353616 + 0.676562i
\(323\) 45.8739 2.55249
\(324\) 8.71747 8.48131i 0.484304 0.471184i
\(325\) −1.13037 1.95786i −0.0627018 0.108603i
\(326\) 8.84110 3.59120i 0.489663 0.198898i
\(327\) 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 \(0.208857\pi\)
\(332\) 8.89400 2.25272i 0.488122 0.123634i
\(333\) −10.0582 + 5.80708i −0.551184 + 0.318226i
\(334\) −0.855347 0.665710i −0.0468025 0.0364260i
\(335\) 9.03615 0.493697
\(336\) −2.70109 + 5.51714i −0.147356 + 0.300985i
\(337\) 3.08186 0.167880 0.0839398 0.996471i \(-0.473250\pi\)
0.0839398 + 0.996471i \(0.473250\pi\)
\(338\) −8.80442 6.85242i −0.478898 0.372722i
\(339\) 4.77122 2.75466i 0.259137 0.149613i
\(340\) −14.8977 + 3.77338i −0.807943 + 0.204640i
\(341\) 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
\(346\) −9.12023 + 3.70457i −0.490306 + 0.199159i
\(347\) 14.0669 + 24.3645i 0.755148 + 1.30795i 0.945301 + 0.326200i \(0.105768\pi\)
−0.190153 + 0.981755i \(0.560898\pi\)
\(348\) 6.45759 6.28265i 0.346163 0.336785i
\(349\) −6.48305 −0.347030 −0.173515 0.984831i \(-0.555512\pi\)
−0.173515 + 0.984831i \(0.555512\pi\)
\(350\) −0.157039 + 3.73836i −0.00839410 + 0.199824i
\(351\) 7.43132i 0.396655i
\(352\) −1.70181 4.54366i −0.0907068 0.242178i
\(353\) −2.83541 + 1.63702i −0.150914 + 0.0871300i −0.573555 0.819167i \(-0.694436\pi\)
0.422642 + 0.906297i \(0.361103\pi\)
\(354\) 6.79863 2.76156i 0.361343 0.146775i
\(355\) −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 \(-0.387185\pi\)
−0.638679 + 0.769473i \(0.720519\pi\)
\(360\) 7.48656 0.829161i 0.394576 0.0437006i
\(361\) 8.32036 + 14.4113i 0.437913 + 0.758488i
\(362\) −9.30078 7.23873i −0.488838 0.380459i
\(363\) 5.95789i 0.312708i
\(364\) −4.03282 11.2625i −0.211377 0.590315i
\(365\) 10.9929i 0.575396i
\(366\) −2.51425 + 3.23047i −0.131422 + 0.168860i
\(367\) 14.0637 + 24.3590i 0.734117 + 1.27153i 0.955110 + 0.296253i \(0.0957370\pi\)
−0.220993 + 0.975276i \(0.570930\pi\)
\(368\) 14.6390 + 0.402107i 0.763112 + 0.0209613i
\(369\) −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 \(-0.448072\pi\)
−0.773320 + 0.634017i \(0.781405\pi\)
\(374\) 3.50765 + 8.63542i 0.181376 + 0.446527i
\(375\) −0.502680 + 0.290223i −0.0259583 + 0.0149870i
\(376\) −0.692917 0.942604i −0.0357344 0.0486111i
\(377\) 17.5454i 0.903636i
\(378\) −6.59125 + 10.3840i −0.339017 + 0.534094i
\(379\) 27.0049 1.38715 0.693573 0.720386i \(-0.256035\pi\)
0.693573 + 0.720386i \(0.256035\pi\)
\(380\) −8.32612 8.55796i −0.427121 0.439014i
\(381\) −0.530009 0.918002i −0.0271532 0.0470307i
\(382\) 7.18359 + 17.6852i 0.367544 + 0.904851i
\(383\) −12.3100 + 21.3215i −0.629009 + 1.08948i 0.358741 + 0.933437i \(0.383206\pi\)
−0.987751 + 0.156039i \(0.950127\pi\)
\(384\) 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
\(388\) 7.93895 2.01082i 0.403039 0.102084i
\(389\) −10.2171 + 5.89882i −0.518026 + 0.299082i −0.736127 0.676844i \(-0.763347\pi\)
0.218101 + 0.975926i \(0.430014\pi\)
\(390\) 1.13981 1.46450i 0.0577167 0.0741581i
\(391\) −28.1325 −1.42272
\(392\) −4.35416 + 19.3143i −0.219918 + 0.975518i
\(393\) −0.396066 −0.0199789
\(394\) 4.82948 6.20523i 0.243306 0.312615i
\(395\) −4.53017 + 2.61550i −0.227938 + 0.131600i
\(396\) −1.12166 4.42843i −0.0563655 0.222537i
\(397\) −11.8315 + 20.4928i −0.593808 + 1.02851i 0.399906 + 0.916556i \(0.369043\pi\)
−0.993714 + 0.111949i \(0.964291\pi\)
\(398\) 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 \(-0.0939360\pi\)
\(402\) 2.79145 + 6.87224i 0.139225 + 0.342756i
\(403\) −10.2605 17.7717i −0.511110 0.885269i
\(404\) −8.00311 + 7.78629i −0.398169 + 0.387383i
\(405\) 6.08126 0.302180
\(406\) 15.5620 24.5167i 0.772330 1.21674i
\(407\) 3.74060i 0.185414i
\(408\) −7.47198 10.1645i −0.369918 0.503215i
\(409\) −7.61896 + 4.39881i −0.376733 + 0.217507i −0.676396 0.736538i \(-0.736459\pi\)
0.299663 + 0.954045i \(0.403126\pi\)
\(410\) −0.415318 1.02246i −0.0205111 0.0504959i
\(411\) 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
\(416\) −12.6145 2.10343i −0.618479 0.103129i
\(417\) 2.44872 + 4.24131i 0.119914 + 0.207698i
\(418\) −4.44766 + 5.71463i −0.217542 + 0.279512i
\(419\) 13.7370i 0.671094i −0.942023 0.335547i \(-0.891079\pi\)
0.942023 0.335547i \(-0.108921\pi\)
\(420\) −2.89164 + 1.03542i −0.141097 + 0.0505236i
\(421\) 12.5052i 0.609467i 0.952438 + 0.304734i \(0.0985675\pi\)
−0.952438 + 0.304734i \(0.901433\pi\)
\(422\) −4.68932 3.64967i −0.228273 0.177663i
\(423\) −0.550749 0.953925i −0.0267783 0.0463814i
\(424\) 3.96600 + 35.8093i 0.192606 + 1.73905i
\(425\) −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
\(430\) −9.64831 + 3.91908i −0.465283 + 0.188995i
\(431\) −18.5456 + 10.7073i −0.893310 + 0.515753i −0.875024 0.484080i \(-0.839154\pi\)
−0.0182864 + 0.999833i \(0.505821\pi\)
\(432\) 6.25908 + 11.5631i 0.301140 + 0.556330i
\(433\) 32.5232i 1.56297i 0.623926 + 0.781484i \(0.285537\pi\)
−0.623926 + 0.781484i \(0.714463\pi\)
\(434\) −1.42546 + 33.9333i −0.0684241 + 1.62885i
\(435\) 4.50478 0.215988
\(436\) −12.0233 12.3581i −0.575810 0.591844i
\(437\) −10.9285 18.9287i −0.522780 0.905481i
\(438\) 8.36042 3.39594i 0.399476 0.162264i
\(439\) 13.0049 22.5251i 0.620688 1.07506i −0.368670 0.929560i \(-0.620187\pi\)
0.989358 0.145503i \(-0.0464800\pi\)
\(440\) 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 \(0.200296\pi\)
\(444\) −1.24309 4.90786i −0.0589945 0.232917i
\(445\) −5.85397 + 3.37979i −0.277505 + 0.160217i
\(446\) −1.81400 1.41182i −0.0858954 0.0668517i
\(447\) −0.410974 −0.0194384
\(448\) 15.7610 + 14.1277i 0.744635 + 0.667471i
\(449\) −18.7677 −0.885704 −0.442852 0.896595i \(-0.646033\pi\)
−0.442852 + 0.896595i \(0.646033\pi\)
\(450\) 2.97209 + 2.31316i 0.140106 + 0.109043i
\(451\) −0.579646 + 0.334659i −0.0272945 + 0.0157585i
\(452\) −4.66097 18.4020i −0.219233 0.865558i
\(453\) −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 \(0.120342\pi\)
\(458\) 1.93617 0.786460i 0.0904714 0.0367488i
\(459\) −12.6292 21.8745i −0.589482 1.02101i
\(460\) 5.10605 + 5.24823i 0.238071 + 0.244700i
\(461\) 30.5190 1.42141 0.710707 0.703488i \(-0.248375\pi\)
0.710707 + 0.703488i \(0.248375\pi\)
\(462\) 0.862865 + 1.65089i 0.0401441 + 0.0768063i
\(463\) 8.45400i 0.392891i 0.980515 + 0.196445i \(0.0629399\pi\)
−0.980515 + 0.196445i \(0.937060\pi\)
\(464\) −14.7778 27.3006i −0.686041 1.26740i
\(465\) −4.56286 + 2.63437i −0.211598 + 0.122166i
\(466\) −20.8280 + 8.46017i −0.964837 + 0.391910i
\(467\) −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
\(472\) −2.78331 25.1307i −0.128112 1.15673i
\(473\) 3.15795 + 5.46974i 0.145203 + 0.251499i
\(474\) −3.38862 2.63734i −0.155645 0.121137i
\(475\) 5.96998i 0.273922i
\(476\) −31.0109 26.2981i −1.42138 1.20537i
\(477\) 33.9221i 1.55319i
\(478\) −3.37858 + 4.34102i −0.154533 + 0.198554i
\(479\) −14.9353 25.8686i −0.682409 1.18197i −0.974244 0.225498i \(-0.927599\pi\)
0.291834 0.956469i \(-0.405734\pi\)
\(480\) −0.540054 + 3.23878i −0.0246500 + 0.147829i
\(481\) 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
\(486\) 7.12696 + 17.5458i 0.323286 + 0.795891i
\(487\) −9.38052 + 5.41585i −0.425072 + 0.245415i −0.697245 0.716833i \(-0.745591\pi\)
0.272173 + 0.962248i \(0.412258\pi\)
\(488\) 8.35429 + 11.3647i 0.378181 + 0.514455i
\(489\) 3.91665i 0.177117i
\(490\) −8.29465 + 5.40360i −0.374714 + 0.244110i
\(491\) −21.5731 −0.973581 −0.486790 0.873519i \(-0.661832\pi\)
−0.486790 + 0.873519i \(0.661832\pi\)
\(492\) 0.649311 0.631721i 0.0292732 0.0284802i
\(493\) 29.8177 + 51.6458i 1.34292 + 2.32601i
\(494\) 7.18308 + 17.6839i 0.323182 + 0.795637i
\(495\) 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 \(0.978747\pi\)
\(500\) 0.491065 + 1.93878i 0.0219611 + 0.0867047i
\(501\) 0.385263 0.222431i 0.0172123 0.00993750i
\(502\) 6.30820 8.10518i 0.281549 0.361752i
\(503\) −27.6964 −1.23492 −0.617460 0.786602i \(-0.711838\pi\)
−0.617460 + 0.786602i \(0.711838\pi\)
\(504\) 13.2852 + 14.8545i 0.591768 + 0.661674i
\(505\) −5.58292 −0.248437
\(506\) 2.72756 3.50454i 0.121255 0.155796i
\(507\) 3.96566 2.28958i 0.176121 0.101684i
\(508\) −3.54062 + 0.896789i −0.157090 + 0.0397886i
\(509\) 13.3901 23.1924i 0.593508 1.02799i −0.400248 0.916407i \(-0.631076\pi\)
0.993756 0.111578i \(-0.0355906\pi\)
\(510\) 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
\(514\) 1.42405 + 3.50585i 0.0628122 + 0.154636i
\(515\) 4.73334 + 8.19839i 0.208576 + 0.361264i
\(516\) −5.96113 6.12712i −0.262424 0.269731i
\(517\) −0.354762 −0.0156024
\(518\) −7.55870 14.4618i −0.332110 0.635415i
\(519\) 4.04030i 0.177350i
\(520\) −3.78734 5.15207i −0.166086 0.225933i
\(521\) 7.67918 4.43358i 0.336431 0.194238i −0.322262 0.946651i \(-0.604443\pi\)
0.658693 + 0.752412i \(0.271110\pi\)
\(522\) −10.9998 27.0801i −0.481446 1.18526i
\(523\) −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
\(528\) 1.99065 + 0.0546795i 0.0866320 + 0.00237962i
\(529\) −4.79803 8.31043i −0.208610 0.361323i
\(530\) −11.0642 + 14.2160i −0.480597 + 0.617502i
\(531\) 23.8063i 1.03310i
\(532\) 5.64774 31.0812i 0.244861 1.34754i
\(533\) 1.76419i 0.0764157i
\(534\) −4.37884 3.40801i −0.189491 0.147479i
\(535\) −7.98617 13.8325i −0.345272 0.598029i
\(536\) 25.4028 2.81344i 1.09723 0.121522i
\(537\) −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 \(-0.382424\pi\)
−0.627097 + 0.778941i \(0.715757\pi\)
\(542\) −3.87921 + 1.57571i −0.166627 + 0.0676825i
\(543\) 4.18923 2.41865i 0.179777 0.103794i
\(544\) −40.7062 + 15.2463i −1.74526 + 0.653682i
\(545\) 8.62091i 0.369279i
\(546\) 4.90562 + 0.206073i 0.209941 + 0.00881912i
\(547\) 18.9413 0.809870 0.404935 0.914345i \(-0.367294\pi\)
0.404935 + 0.914345i \(0.367294\pi\)
\(548\) 12.6015 12.2601i 0.538309 0.523726i
\(549\) 6.64021 + 11.5012i 0.283397 + 0.490859i
\(550\) 1.12381 0.456482i 0.0479192 0.0194645i
\(551\) −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
\(556\) 16.3582 4.14330i 0.693742 0.175715i
\(557\) 14.4152 8.32262i 0.610791 0.352641i −0.162484 0.986711i \(-0.551951\pi\)
0.773275 + 0.634071i \(0.218617\pi\)
\(558\) 26.9779 + 20.9967i 1.14206 + 0.888860i
\(559\) 16.6475 0.704115
\(560\) 0.722478 + 10.5583i 0.0305303 + 0.446170i
\(561\) −3.82553 −0.161514
\(562\) −16.4336 12.7901i −0.693208 0.539518i
\(563\) −16.0054 + 9.24075i −0.674549 + 0.389451i −0.797798 0.602925i \(-0.794002\pi\)
0.123249 + 0.992376i \(0.460669\pi\)
\(564\) 0.465466 0.117896i 0.0195997 0.00496432i
\(565\) 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 \(0.942849\pi\)
\(570\) 4.54034 1.84425i 0.190174 0.0772472i
\(571\) 15.9507 + 27.6274i 0.667515 + 1.15617i 0.978597 + 0.205786i \(0.0659751\pi\)
−0.311082 + 0.950383i \(0.600692\pi\)
\(572\) −2.77963 + 2.70432i −0.116222 + 0.113073i
\(573\) −7.83460 −0.327295
\(574\) 1.56476 2.46515i 0.0653119 0.102893i
\(575\) 3.66114i 0.152680i
\(576\) 20.7883 4.66194i 0.866181 0.194247i
\(577\) 0.0890408 0.0514077i 0.00370682 0.00214013i −0.498145 0.867093i \(-0.665985\pi\)
0.501852 + 0.864953i \(0.332652\pi\)
\(578\) 55.0896 22.3770i 2.29143 0.930761i
\(579\) 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
\(584\) −3.42269 30.9037i −0.141632 1.27881i
\(585\) −3.01028 5.21395i −0.124460 0.215570i
\(586\) 9.08355 + 7.06966i 0.375238 + 0.292045i
\(587\) 16.8744i 0.696481i −0.937405 0.348241i \(-0.886779\pi\)
0.937405 0.348241i \(-0.113221\pi\)
\(588\) −6.67197 4.63902i −0.275147 0.191310i
\(589\) 54.1899i 2.23286i
\(590\) 7.76474 9.97664i 0.319669 0.410732i
\(591\) 1.61366 + 2.79494i 0.0663771 + 0.114968i
\(592\) −17.4381 0.478992i −0.716702 0.0196865i
\(593\) −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
\(598\) −4.40508 10.8448i −0.180137 0.443477i
\(599\) −2.85986 + 1.65114i −0.116851 + 0.0674637i −0.557286 0.830320i \(-0.688157\pi\)
0.440436 + 0.897784i \(0.354824\pi\)
\(600\) −1.32279 + 0.972397i −0.0540028 + 0.0396979i
\(601\) 1.17354i 0.0478696i −0.999714 0.0239348i \(-0.992381\pi\)
0.999714 0.0239348i \(-0.00761942\pi\)
\(602\) −23.2620 14.7656i −0.948088 0.601801i
\(603\) 24.0640 0.979962
\(604\) 26.7957 + 27.5419i 1.09030 + 1.12066i
\(605\) 5.13217 + 8.88918i 0.208652 + 0.361397i
\(606\) −1.72468 4.24596i −0.0700604 0.172481i
\(607\) 19.3297 33.4800i 0.784567 1.35891i −0.144691 0.989477i \(-0.546219\pi\)
0.929258 0.369432i \(-0.120448\pi\)
\(608\) −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
\(612\) −39.6739 + 10.0488i −1.60372 + 0.406200i
\(613\) −5.85186 + 3.37857i −0.236354 + 0.136459i −0.613500 0.789695i \(-0.710239\pi\)
0.377146 + 0.926154i \(0.376906\pi\)
\(614\) 15.2158 19.5502i 0.614060 0.788984i
\(615\) 0.452956 0.0182649
\(616\) 6.28265 1.31341i 0.253135 0.0529189i
\(617\) −41.1014 −1.65468 −0.827340 0.561702i \(-0.810147\pi\)
−0.827340 + 0.561702i \(0.810147\pi\)
\(618\) −4.77287 + 6.13249i −0.191993 + 0.246685i
\(619\) −40.4897 + 23.3768i −1.62742 + 0.939591i −0.642561 + 0.766234i \(0.722128\pi\)
−0.984859 + 0.173357i \(0.944539\pi\)
\(620\) 4.45742 + 17.5984i 0.179014 + 0.706769i
\(621\) −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
\(626\) −11.7688 28.9735i −0.470377 1.15801i
\(627\) −1.48608 2.57397i −0.0593483 0.102794i
\(628\) 19.9834 19.4421i 0.797426 0.775823i
\(629\) 33.5116 1.33620
\(630\) −0.418209 + 9.95556i −0.0166618 + 0.396639i
\(631\) 27.1538i 1.08098i −0.841352 0.540488i \(-0.818240\pi\)
0.841352 0.540488i \(-0.181760\pi\)
\(632\) −11.9210 + 8.76327i −0.474194 + 0.348584i
\(633\) 2.11215 1.21945i 0.0839504 0.0484688i
\(634\) 9.89264 + 24.3545i 0.392887 + 0.967242i
\(635\) −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
\(640\) 10.2324 + 4.82669i 0.404473 + 0.190792i
\(641\) −9.04928 15.6738i −0.357425 0.619079i 0.630105 0.776510i \(-0.283012\pi\)
−0.987530 + 0.157432i \(0.949679\pi\)
\(642\) 8.05287 10.3468i 0.317821 0.408357i
\(643\) 28.6157i 1.12849i 0.825606 + 0.564247i \(0.190833\pi\)
−0.825606 + 0.564247i \(0.809167\pi\)
\(644\) −3.46352 + 19.0608i −0.136482 + 0.751101i
\(645\) 4.27425i 0.168298i
\(646\) 51.1968 + 39.8461i 2.01431 + 1.56772i
\(647\) 4.83689 + 8.37773i 0.190158 + 0.329363i 0.945302 0.326195i \(-0.105767\pi\)
−0.755145 + 0.655558i \(0.772433\pi\)
\(648\) 17.0959 1.89342i 0.671589 0.0743807i
\(649\) −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 \(-0.362988\pi\)
−0.578397 + 0.815755i \(0.696321\pi\)
\(654\) 6.55644 2.66318i 0.256377 0.104139i
\(655\) −0.590932 + 0.341175i −0.0230896 + 0.0133308i
\(656\) −1.48591 2.74508i −0.0580149 0.107177i
\(657\) 29.2751i 1.14213i
\(658\) 1.37157 0.716874i 0.0534694 0.0279466i
\(659\) −31.5514 −1.22907 −0.614534 0.788890i \(-0.710656\pi\)
−0.614534 + 0.788890i \(0.710656\pi\)
\(660\) 0.694334 + 0.713668i 0.0270269 + 0.0277795i
\(661\) 12.7700 + 22.1183i 0.496695 + 0.860301i 0.999993 0.00381217i \(-0.00121346\pi\)
−0.503298 + 0.864113i \(0.667880\pi\)
\(662\) −6.30069 + 2.55930i −0.244883 + 0.0994698i
\(663\) −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
\(668\) −0.376360 1.48591i −0.0145618 0.0574916i
\(669\) 0.817056 0.471727i 0.0315892 0.0182380i
\(670\) 10.0846 + 7.84881i 0.389604 + 0.303226i
\(671\) 4.27725 0.165122
\(672\) −7.80670 + 3.81115i −0.301150 + 0.147018i
\(673\) 27.1625 1.04704 0.523519 0.852014i \(-0.324619\pi\)
0.523519 + 0.852014i \(0.324619\pi\)
\(674\) 3.43946 + 2.67691i 0.132483 + 0.103111i
\(675\) −2.84672 + 1.64356i −0.109570 + 0.0632605i
\(676\) −3.87402 15.2951i −0.149001 0.588272i
\(677\) 1.06336 1.84180i 0.0408683 0.0707860i −0.844868 0.534975i \(-0.820321\pi\)
0.885736 + 0.464189i \(0.153654\pi\)
\(678\) 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
\(682\) 10.2009 4.14351i 0.390611 0.158663i
\(683\) 14.2239 + 24.6366i 0.544264 + 0.942692i 0.998653 + 0.0518890i \(0.0165242\pi\)
−0.454389 + 0.890803i \(0.650142\pi\)
\(684\) −22.1731 22.7906i −0.847811 0.871419i
\(685\) 8.79073 0.335877
\(686\) −24.3809 9.56931i −0.930867 0.365358i
\(687\) 0.857733i 0.0327245i
\(688\) −25.9035 + 14.0215i −0.987561 + 0.534565i
\(689\) 24.9391 14.3986i 0.950104 0.548543i
\(690\) −2.78440 + 1.13100i −0.106000 + 0.0430565i
\(691\) 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
\(696\) 12.6640 1.40258i 0.480028 0.0531647i
\(697\) 2.99817 + 5.19299i 0.113564 + 0.196699i
\(698\) −7.23531 5.63119i −0.273860 0.213144i
\(699\) 9.22688i 0.348993i
\(700\) −3.42240 + 4.03573i −0.129355 + 0.152536i
\(701\) 37.3873i 1.41210i 0.708162 + 0.706050i \(0.249525\pi\)
−0.708162 + 0.706050i \(0.750475\pi\)
\(702\) 6.45485 8.29361i 0.243623 0.313022i
\(703\) 13.0181 + 22.5479i 0.490986 + 0.850412i
\(704\) 2.04735 6.54908i 0.0771624 0.246828i
\(705\) 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 \(-0.0245474\pi\)
0.431794 + 0.901972i \(0.357881\pi\)
\(710\) −4.62717 11.3916i −0.173655 0.427517i
\(711\) −12.0642 + 6.96528i −0.452444 + 0.261219i
\(712\) −15.4046 + 11.3240i −0.577311 + 0.424387i
\(713\) 33.2324i 1.24456i
\(714\) 14.7902 7.73032i 0.553508 0.289300i
\(715\) −1.93905 −0.0725164
\(716\) −24.7305 + 24.0605i −0.924223 + 0.899185i
\(717\) −1.12887 1.95527i −0.0421586 0.0730209i
\(718\) −3.39580 8.36006i −0.126730 0.311995i
\(719\) 18.9380 32.8015i 0.706267 1.22329i −0.259965 0.965618i \(-0.583711\pi\)
0.966232 0.257673i \(-0.0829556\pi\)
\(720\) 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
\(724\) −4.09242 16.1573i −0.152094 0.600483i
\(725\) 6.72114 3.88045i 0.249617 0.144116i
\(726\) −5.17503 + 6.64921i −0.192063 + 0.246775i
\(727\) −27.8236 −1.03192 −0.515960 0.856613i \(-0.672565\pi\)
−0.515960 + 0.856613i \(0.672565\pi\)
\(728\) 5.28184 16.0722i 0.195758 0.595677i
\(729\) 10.4709 0.387813
\(730\) 9.54847 12.2685i 0.353405 0.454077i
\(731\) 49.0028 28.2918i 1.81243 1.04641i
\(732\) −5.61199 + 1.42144i −0.207425 + 0.0525378i
\(733\) −9.92259 + 17.1864i −0.366499 + 0.634796i −0.989016 0.147811i \(-0.952777\pi\)
0.622516 + 0.782607i \(0.286110\pi\)
\(734\) −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
\(738\) −1.10603 2.72291i −0.0407134 0.100232i
\(739\) 17.2053 + 29.8004i 0.632906 + 1.09623i 0.986955 + 0.160999i \(0.0514715\pi\)
−0.354048 + 0.935227i \(0.615195\pi\)
\(740\) −6.08236 6.25173i −0.223592 0.229818i
\(741\) −7.83405 −0.287791
\(742\) −47.6189 2.00035i −1.74815 0.0734353i
\(743\) 23.5668i 0.864583i −0.901734 0.432292i \(-0.857705\pi\)
0.901734 0.432292i \(-0.142295\pi\)
\(744\) −12.0071 + 8.82651i −0.440201 + 0.323595i
\(745\) −0.613174 + 0.354016i −0.0224650 + 0.0129702i
\(746\) −7.25075 17.8505i −0.265469 0.653554i
\(747\) 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 \(-0.329848\pi\)
−0.490487 + 0.871449i \(0.663181\pi\)
\(752\) 0.0454281 1.65385i 0.00165659 0.0603096i
\(753\) 2.10774 + 3.65071i 0.0768103 + 0.133039i
\(754\) −15.2400 + 19.5813i −0.555007 + 0.713109i
\(755\) 19.2131i 0.699235i
\(756\) −16.3756 + 5.86370i −0.595574 + 0.213261i
\(757\) 16.6446i 0.604957i −0.953156 0.302478i \(-0.902186\pi\)
0.953156 0.302478i \(-0.0978140\pi\)
\(758\) 30.1384 + 23.4565i 1.09467 + 0.851977i
\(759\) 0.911350 + 1.57850i 0.0330799 + 0.0572961i
\(760\) −1.85878 16.7830i −0.0674250 0.608785i
\(761\) 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
\(766\) −32.2582 + 13.1030i −1.16554 + 0.473432i
\(767\) −17.5021 + 10.1048i −0.631963 + 0.364864i
\(768\) −0.509816 + 9.27312i −0.0183964 + 0.334615i
\(769\) 9.41310i 0.339445i 0.985492 + 0.169722i \(0.0542871\pi\)
−0.985492 + 0.169722i \(0.945713\pi\)
\(770\) 2.70948 + 1.71985i 0.0976430 + 0.0619792i
\(771\) −1.55311 −0.0559337
\(772\) 26.4056 25.6902i 0.950358 0.924612i
\(773\) −4.52236 7.83296i −0.162658 0.281732i 0.773163 0.634207i \(-0.218673\pi\)
−0.935821 + 0.352475i \(0.885340\pi\)