Properties

Label 273.2.bh.a.131.4
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.4
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.13534 - 1.23284i) q^{2} +(-0.105557 + 1.72883i) q^{3} +(2.03979 + 3.53302i) q^{4} +(-1.46641 + 2.53990i) q^{5} +(2.35677 - 3.56151i) q^{6} +(0.805632 + 2.52011i) q^{7} -5.12758i q^{8} +(-2.97772 - 0.364982i) q^{9} +O(q^{10})\) \(q+(-2.13534 - 1.23284i) q^{2} +(-0.105557 + 1.72883i) q^{3} +(2.03979 + 3.53302i) q^{4} +(-1.46641 + 2.53990i) q^{5} +(2.35677 - 3.56151i) q^{6} +(0.805632 + 2.52011i) q^{7} -5.12758i q^{8} +(-2.97772 - 0.364982i) q^{9} +(6.26259 - 3.61571i) q^{10} +(-0.698133 + 0.403067i) q^{11} +(-6.32331 + 3.15352i) q^{12} -1.00000i q^{13} +(1.38659 - 6.37451i) q^{14} +(-4.23627 - 2.80329i) q^{15} +(-2.24191 + 3.88310i) q^{16} +(-2.45226 - 4.24745i) q^{17} +(5.90848 + 4.45041i) q^{18} +(-5.66648 - 3.27154i) q^{19} -11.9647 q^{20} +(-4.44189 + 1.12679i) q^{21} +1.98767 q^{22} +(8.25700 + 4.76718i) q^{23} +(8.86472 + 0.541254i) q^{24} +(-1.80074 - 3.11897i) q^{25} +(-1.23284 + 2.13534i) q^{26} +(0.945312 - 5.10944i) q^{27} +(-7.26028 + 7.98681i) q^{28} +1.96603i q^{29} +(5.58989 + 11.2086i) q^{30} +(-5.03226 + 2.90538i) q^{31} +(0.693249 - 0.400248i) q^{32} +(-0.623142 - 1.24950i) q^{33} +12.0930i q^{34} +(-7.58223 - 1.64930i) q^{35} +(-4.78443 - 11.2648i) q^{36} +(-1.41434 + 2.44971i) q^{37} +(8.06658 + 13.9717i) q^{38} +(1.72883 + 0.105557i) q^{39} +(13.0236 + 7.51916i) q^{40} +1.98882 q^{41} +(10.8741 + 3.07006i) q^{42} +4.59323 q^{43} +(-2.84809 - 1.64435i) q^{44} +(5.29358 - 7.02789i) q^{45} +(-11.7543 - 20.3591i) q^{46} +(-0.904136 + 1.56601i) q^{47} +(-6.47657 - 4.28577i) q^{48} +(-5.70191 + 4.06056i) q^{49} +8.88010i q^{50} +(7.60197 - 3.79120i) q^{51} +(3.53302 - 2.03979i) q^{52} +(-3.53060 + 2.03839i) q^{53} +(-8.31769 + 9.74498i) q^{54} -2.36425i q^{55} +(12.9221 - 4.13094i) q^{56} +(6.25409 - 9.45105i) q^{57} +(2.42380 - 4.19815i) q^{58} +(-4.39070 - 7.60491i) q^{59} +(1.26296 - 20.6850i) q^{60} +(-8.96446 - 5.17563i) q^{61} +14.3275 q^{62} +(-1.47915 - 7.79821i) q^{63} +6.99387 q^{64} +(2.53990 + 1.46641i) q^{65} +(-0.209813 + 3.43635i) q^{66} +(0.391145 + 0.677483i) q^{67} +(10.0042 - 17.3278i) q^{68} +(-9.11324 + 13.7718i) q^{69} +(14.1573 + 12.8695i) q^{70} +2.26943i q^{71} +(-1.87148 + 15.2685i) q^{72} +(4.80065 - 2.77165i) q^{73} +(6.04021 - 3.48732i) q^{74} +(5.58226 - 2.78394i) q^{75} -26.6931i q^{76} +(-1.57821 - 1.43465i) q^{77} +(-3.56151 - 2.35677i) q^{78} +(-4.60034 + 7.96803i) q^{79} +(-6.57513 - 11.3885i) q^{80} +(8.73358 + 2.17363i) q^{81} +(-4.24682 - 2.45190i) q^{82} +1.72902 q^{83} +(-13.0415 - 13.3949i) q^{84} +14.3841 q^{85} +(-9.80812 - 5.66272i) q^{86} +(-3.39894 - 0.207529i) q^{87} +(2.06676 + 3.57973i) q^{88} +(-6.09126 + 10.5504i) q^{89} +(-19.9679 + 8.48082i) q^{90} +(2.52011 - 0.805632i) q^{91} +38.8962i q^{92} +(-4.49172 - 9.00662i) q^{93} +(3.86128 - 2.22931i) q^{94} +(16.6188 - 9.59488i) q^{95} +(0.618783 + 1.24076i) q^{96} +9.91566i q^{97} +(17.1816 - 1.64114i) q^{98} +(2.22595 - 0.945414i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.13534 1.23284i −1.50991 0.871750i −0.999933 0.0115644i \(-0.996319\pi\)
−0.509982 0.860185i \(-0.670348\pi\)
\(3\) −0.105557 + 1.72883i −0.0609436 + 0.998141i
\(4\) 2.03979 + 3.53302i 1.01990 + 1.76651i
\(5\) −1.46641 + 2.53990i −0.655800 + 1.13588i 0.325892 + 0.945407i \(0.394335\pi\)
−0.981693 + 0.190472i \(0.938998\pi\)
\(6\) 2.35677 3.56151i 0.962149 1.45398i
\(7\) 0.805632 + 2.52011i 0.304500 + 0.952512i
\(8\) 5.12758i 1.81287i
\(9\) −2.97772 0.364982i −0.992572 0.121661i
\(10\) 6.26259 3.61571i 1.98040 1.14339i
\(11\) −0.698133 + 0.403067i −0.210495 + 0.121529i −0.601541 0.798842i \(-0.705447\pi\)
0.391046 + 0.920371i \(0.372113\pi\)
\(12\) −6.32331 + 3.15352i −1.82538 + 0.910342i
\(13\) 1.00000i 0.277350i
\(14\) 1.38659 6.37451i 0.370583 1.70366i
\(15\) −4.23627 2.80329i −1.09380 0.723806i
\(16\) −2.24191 + 3.88310i −0.560477 + 0.970775i
\(17\) −2.45226 4.24745i −0.594762 1.03016i −0.993580 0.113128i \(-0.963913\pi\)
0.398819 0.917030i \(-0.369420\pi\)
\(18\) 5.90848 + 4.45041i 1.39264 + 1.04897i
\(19\) −5.66648 3.27154i −1.29998 0.750544i −0.319580 0.947559i \(-0.603542\pi\)
−0.980400 + 0.197016i \(0.936875\pi\)
\(20\) −11.9647 −2.67539
\(21\) −4.44189 + 1.12679i −0.969299 + 0.245885i
\(22\) 1.98767 0.423773
\(23\) 8.25700 + 4.76718i 1.72170 + 0.994026i 0.915423 + 0.402494i \(0.131857\pi\)
0.806281 + 0.591532i \(0.201477\pi\)
\(24\) 8.86472 + 0.541254i 1.80950 + 0.110483i
\(25\) −1.80074 3.11897i −0.360148 0.623794i
\(26\) −1.23284 + 2.13534i −0.241780 + 0.418775i
\(27\) 0.945312 5.10944i 0.181925 0.983312i
\(28\) −7.26028 + 7.98681i −1.37206 + 1.50937i
\(29\) 1.96603i 0.365083i 0.983198 + 0.182542i \(0.0584324\pi\)
−0.983198 + 0.182542i \(0.941568\pi\)
\(30\) 5.58989 + 11.2086i 1.02057 + 2.04641i
\(31\) −5.03226 + 2.90538i −0.903821 + 0.521821i −0.878438 0.477857i \(-0.841414\pi\)
−0.0253831 + 0.999678i \(0.508081\pi\)
\(32\) 0.693249 0.400248i 0.122550 0.0707545i
\(33\) −0.623142 1.24950i −0.108475 0.217510i
\(34\) 12.0930i 2.07393i
\(35\) −7.58223 1.64930i −1.28163 0.278782i
\(36\) −4.78443 11.2648i −0.797404 1.87747i
\(37\) −1.41434 + 2.44971i −0.232516 + 0.402730i −0.958548 0.284931i \(-0.908029\pi\)
0.726032 + 0.687661i \(0.241363\pi\)
\(38\) 8.06658 + 13.9717i 1.30857 + 2.26651i
\(39\) 1.72883 + 0.105557i 0.276835 + 0.0169027i
\(40\) 13.0236 + 7.51916i 2.05921 + 1.18888i
\(41\) 1.98882 0.310602 0.155301 0.987867i \(-0.450365\pi\)
0.155301 + 0.987867i \(0.450365\pi\)
\(42\) 10.8741 + 3.07006i 1.67791 + 0.473721i
\(43\) 4.59323 0.700461 0.350230 0.936664i \(-0.386103\pi\)
0.350230 + 0.936664i \(0.386103\pi\)
\(44\) −2.84809 1.64435i −0.429366 0.247894i
\(45\) 5.29358 7.02789i 0.789121 1.04766i
\(46\) −11.7543 20.3591i −1.73308 3.00179i
\(47\) −0.904136 + 1.56601i −0.131882 + 0.228426i −0.924402 0.381420i \(-0.875435\pi\)
0.792520 + 0.609846i \(0.208769\pi\)
\(48\) −6.47657 4.28577i −0.934813 0.618598i
\(49\) −5.70191 + 4.06056i −0.814559 + 0.580080i
\(50\) 8.88010i 1.25584i
\(51\) 7.60197 3.79120i 1.06449 0.530875i
\(52\) 3.53302 2.03979i 0.489942 0.282868i
\(53\) −3.53060 + 2.03839i −0.484966 + 0.279995i −0.722484 0.691388i \(-0.756999\pi\)
0.237518 + 0.971383i \(0.423666\pi\)
\(54\) −8.31769 + 9.74498i −1.13189 + 1.32612i
\(55\) 2.36425i 0.318796i
\(56\) 12.9221 4.13094i 1.72678 0.552021i
\(57\) 6.25409 9.45105i 0.828374 1.25182i
\(58\) 2.42380 4.19815i 0.318261 0.551244i
\(59\) −4.39070 7.60491i −0.571620 0.990075i −0.996400 0.0847780i \(-0.972982\pi\)
0.424780 0.905297i \(-0.360351\pi\)
\(60\) 1.26296 20.6850i 0.163048 2.67042i
\(61\) −8.96446 5.17563i −1.14778 0.662672i −0.199436 0.979911i \(-0.563911\pi\)
−0.948346 + 0.317239i \(0.897244\pi\)
\(62\) 14.3275 1.81959
\(63\) −1.47915 7.79821i −0.186355 0.982482i
\(64\) 6.99387 0.874233
\(65\) 2.53990 + 1.46641i 0.315036 + 0.181886i
\(66\) −0.209813 + 3.43635i −0.0258262 + 0.422985i
\(67\) 0.391145 + 0.677483i 0.0477859 + 0.0827677i 0.888929 0.458045i \(-0.151450\pi\)
−0.841143 + 0.540813i \(0.818117\pi\)
\(68\) 10.0042 17.3278i 1.21319 2.10130i
\(69\) −9.11324 + 13.7718i −1.09711 + 1.65792i
\(70\) 14.1573 + 12.8695i 1.69212 + 1.53820i
\(71\) 2.26943i 0.269332i 0.990891 + 0.134666i \(0.0429961\pi\)
−0.990891 + 0.134666i \(0.957004\pi\)
\(72\) −1.87148 + 15.2685i −0.220555 + 1.79941i
\(73\) 4.80065 2.77165i 0.561873 0.324398i −0.192024 0.981390i \(-0.561505\pi\)
0.753897 + 0.656993i \(0.228172\pi\)
\(74\) 6.04021 3.48732i 0.702160 0.405392i
\(75\) 5.58226 2.78394i 0.644584 0.321462i
\(76\) 26.6931i 3.06190i
\(77\) −1.57821 1.43465i −0.179854 0.163493i
\(78\) −3.56151 2.35677i −0.403262 0.266852i
\(79\) −4.60034 + 7.96803i −0.517579 + 0.896473i 0.482212 + 0.876054i \(0.339833\pi\)
−0.999792 + 0.0204190i \(0.993500\pi\)
\(80\) −6.57513 11.3885i −0.735122 1.27327i
\(81\) 8.73358 + 2.17363i 0.970397 + 0.241514i
\(82\) −4.24682 2.45190i −0.468983 0.270767i
\(83\) 1.72902 0.189785 0.0948924 0.995488i \(-0.469749\pi\)
0.0948924 + 0.995488i \(0.469749\pi\)
\(84\) −13.0415 13.3949i −1.42294 1.46150i
\(85\) 14.3841 1.56018
\(86\) −9.80812 5.66272i −1.05764 0.610627i
\(87\) −3.39894 0.207529i −0.364404 0.0222495i
\(88\) 2.06676 + 3.57973i 0.220317 + 0.381601i
\(89\) −6.09126 + 10.5504i −0.645672 + 1.11834i 0.338474 + 0.940976i \(0.390089\pi\)
−0.984146 + 0.177361i \(0.943244\pi\)
\(90\) −19.9679 + 8.48082i −2.10480 + 0.893957i
\(91\) 2.52011 0.805632i 0.264179 0.0844532i
\(92\) 38.8962i 4.05521i
\(93\) −4.49172 9.00662i −0.465769 0.933943i
\(94\) 3.86128 2.22931i 0.398261 0.229936i
\(95\) 16.6188 9.59488i 1.70505 0.984414i
\(96\) 0.618783 + 1.24076i 0.0631543 + 0.126635i
\(97\) 9.91566i 1.00678i 0.864058 + 0.503392i \(0.167915\pi\)
−0.864058 + 0.503392i \(0.832085\pi\)
\(98\) 17.1816 1.64114i 1.73560 0.165780i
\(99\) 2.22595 0.945414i 0.223717 0.0950176i
\(100\) 7.34626 12.7241i 0.734626 1.27241i
\(101\) −1.34106 2.32279i −0.133441 0.231126i 0.791560 0.611092i \(-0.209269\pi\)
−0.925001 + 0.379965i \(0.875936\pi\)
\(102\) −20.9068 1.27651i −2.07008 0.126393i
\(103\) 9.04672 + 5.22313i 0.891400 + 0.514650i 0.874400 0.485205i \(-0.161255\pi\)
0.0169999 + 0.999855i \(0.494588\pi\)
\(104\) −5.12758 −0.502801
\(105\) 3.65172 12.9343i 0.356371 1.26226i
\(106\) 10.0521 0.976342
\(107\) −2.22421 1.28415i −0.215022 0.124143i 0.388621 0.921398i \(-0.372952\pi\)
−0.603643 + 0.797255i \(0.706285\pi\)
\(108\) 19.9800 7.08238i 1.92258 0.681502i
\(109\) 5.79331 + 10.0343i 0.554898 + 0.961112i 0.997911 + 0.0645969i \(0.0205762\pi\)
−0.443013 + 0.896515i \(0.646090\pi\)
\(110\) −2.91475 + 5.04849i −0.277910 + 0.481355i
\(111\) −4.08585 2.70374i −0.387811 0.256628i
\(112\) −11.5920 2.52151i −1.09534 0.238260i
\(113\) 13.4782i 1.26792i 0.773366 + 0.633959i \(0.218571\pi\)
−0.773366 + 0.633959i \(0.781429\pi\)
\(114\) −25.0063 + 12.4709i −2.34205 + 1.16801i
\(115\) −24.2164 + 13.9813i −2.25819 + 1.30377i
\(116\) −6.94603 + 4.01029i −0.644923 + 0.372346i
\(117\) −0.364982 + 2.97772i −0.0337426 + 0.275290i
\(118\) 21.6521i 1.99324i
\(119\) 8.72841 9.60186i 0.800132 0.880201i
\(120\) −14.3741 + 21.7218i −1.31217 + 1.98292i
\(121\) −5.17507 + 8.96349i −0.470461 + 0.814863i
\(122\) 12.7615 + 22.1035i 1.15537 + 2.00116i
\(123\) −0.209935 + 3.43834i −0.0189292 + 0.310025i
\(124\) −20.5295 11.8527i −1.84361 1.06441i
\(125\) −4.10162 −0.366860
\(126\) −6.45547 + 18.4754i −0.575099 + 1.64592i
\(127\) −3.34872 −0.297151 −0.148575 0.988901i \(-0.547469\pi\)
−0.148575 + 0.988901i \(0.547469\pi\)
\(128\) −16.3208 9.42281i −1.44257 0.832867i
\(129\) −0.484850 + 7.94092i −0.0426886 + 0.699159i
\(130\) −3.61571 6.26259i −0.317119 0.549265i
\(131\) 3.97542 6.88562i 0.347334 0.601600i −0.638441 0.769671i \(-0.720420\pi\)
0.985775 + 0.168071i \(0.0537538\pi\)
\(132\) 3.14343 4.75029i 0.273601 0.413460i
\(133\) 3.67956 16.9158i 0.319058 1.46679i
\(134\) 1.92888i 0.166630i
\(135\) 11.5913 + 9.89356i 0.997617 + 0.851502i
\(136\) −21.7791 + 12.5742i −1.86755 + 1.07823i
\(137\) −9.72168 + 5.61282i −0.830579 + 0.479535i −0.854051 0.520189i \(-0.825861\pi\)
0.0234717 + 0.999725i \(0.492528\pi\)
\(138\) 36.4383 18.1722i 3.10183 1.54692i
\(139\) 4.17599i 0.354203i −0.984193 0.177101i \(-0.943328\pi\)
0.984193 0.177101i \(-0.0566721\pi\)
\(140\) −9.63915 30.1524i −0.814657 2.54834i
\(141\) −2.61193 1.72840i −0.219964 0.145558i
\(142\) 2.79784 4.84601i 0.234790 0.406668i
\(143\) 0.403067 + 0.698133i 0.0337062 + 0.0583808i
\(144\) 8.09302 10.7445i 0.674419 0.895375i
\(145\) −4.99353 2.88302i −0.414690 0.239422i
\(146\) −13.6680 −1.13117
\(147\) −6.41815 10.2863i −0.529360 0.848397i
\(148\) −11.5398 −0.948570
\(149\) 10.1685 + 5.87080i 0.833039 + 0.480955i 0.854892 0.518806i \(-0.173623\pi\)
−0.0218533 + 0.999761i \(0.506957\pi\)
\(150\) −15.3522 0.937360i −1.25350 0.0765351i
\(151\) 0.0492351 + 0.0852776i 0.00400669 + 0.00693979i 0.868022 0.496526i \(-0.165391\pi\)
−0.864015 + 0.503466i \(0.832058\pi\)
\(152\) −16.7751 + 29.0553i −1.36064 + 2.35670i
\(153\) 5.75190 + 13.5427i 0.465014 + 1.09486i
\(154\) 1.60133 + 5.00915i 0.129039 + 0.403649i
\(155\) 17.0419i 1.36884i
\(156\) 3.15352 + 6.32331i 0.252483 + 0.506270i
\(157\) 6.35962 3.67173i 0.507553 0.293036i −0.224274 0.974526i \(-0.572001\pi\)
0.731827 + 0.681490i \(0.238668\pi\)
\(158\) 19.6466 11.3430i 1.56300 0.902399i
\(159\) −3.15136 6.31898i −0.249919 0.501128i
\(160\) 2.34772i 0.185603i
\(161\) −5.36172 + 24.6492i −0.422563 + 1.94263i
\(162\) −15.9694 15.4085i −1.25468 1.21061i
\(163\) 10.0504 17.4077i 0.787205 1.36348i −0.140469 0.990085i \(-0.544861\pi\)
0.927673 0.373393i \(-0.121806\pi\)
\(164\) 4.05678 + 7.02655i 0.316782 + 0.548682i
\(165\) 4.08740 + 0.249565i 0.318203 + 0.0194286i
\(166\) −3.69205 2.13161i −0.286559 0.165445i
\(167\) 24.4093 1.88885 0.944424 0.328731i \(-0.106621\pi\)
0.944424 + 0.328731i \(0.106621\pi\)
\(168\) 5.77768 + 22.7761i 0.445758 + 1.75722i
\(169\) −1.00000 −0.0769231
\(170\) −30.7151 17.7333i −2.35574 1.36009i
\(171\) 15.6791 + 11.8099i 1.19901 + 0.903125i
\(172\) 9.36922 + 16.2280i 0.714397 + 1.23737i
\(173\) −6.40841 + 11.0997i −0.487222 + 0.843894i −0.999892 0.0146919i \(-0.995323\pi\)
0.512670 + 0.858586i \(0.328657\pi\)
\(174\) 7.00205 + 4.63349i 0.530824 + 0.351264i
\(175\) 6.40942 7.05081i 0.484507 0.532991i
\(176\) 3.61456i 0.272458i
\(177\) 13.6111 6.78802i 1.02307 0.510219i
\(178\) 26.0138 15.0191i 1.94982 1.12573i
\(179\) −10.9437 + 6.31834i −0.817970 + 0.472255i −0.849716 0.527241i \(-0.823227\pi\)
0.0317462 + 0.999496i \(0.489893\pi\)
\(180\) 35.6275 + 4.36690i 2.65552 + 0.325490i
\(181\) 19.0550i 1.41635i 0.706037 + 0.708175i \(0.250481\pi\)
−0.706037 + 0.708175i \(0.749519\pi\)
\(182\) −6.37451 1.38659i −0.472510 0.102781i
\(183\) 9.89406 14.9517i 0.731390 1.10526i
\(184\) 24.4441 42.3384i 1.80204 3.12123i
\(185\) −4.14802 7.18459i −0.304969 0.528221i
\(186\) −1.51237 + 24.7698i −0.110892 + 1.81621i
\(187\) 3.42401 + 1.97686i 0.250389 + 0.144562i
\(188\) −7.37699 −0.538023
\(189\) 13.6379 1.73404i 0.992013 0.126133i
\(190\) −47.3158 −3.43265
\(191\) −19.9851 11.5384i −1.44607 0.834890i −0.447827 0.894120i \(-0.647802\pi\)
−0.998244 + 0.0592301i \(0.981135\pi\)
\(192\) −0.738255 + 12.0912i −0.0532789 + 0.872608i
\(193\) 4.58543 + 7.94220i 0.330067 + 0.571692i 0.982525 0.186133i \(-0.0595954\pi\)
−0.652458 + 0.757825i \(0.726262\pi\)
\(194\) 12.2244 21.1733i 0.877663 1.52016i
\(195\) −2.80329 + 4.23627i −0.200748 + 0.303366i
\(196\) −25.9768 11.8623i −1.85548 0.847306i
\(197\) 2.77957i 0.198036i 0.995086 + 0.0990180i \(0.0315701\pi\)
−0.995086 + 0.0990180i \(0.968430\pi\)
\(198\) −5.91872 0.725464i −0.420625 0.0515565i
\(199\) 18.9718 10.9534i 1.34488 0.776464i 0.357357 0.933968i \(-0.383678\pi\)
0.987518 + 0.157503i \(0.0503445\pi\)
\(200\) −15.9928 + 9.23344i −1.13086 + 0.652903i
\(201\) −1.21254 + 0.604710i −0.0855261 + 0.0426530i
\(202\) 6.61327i 0.465308i
\(203\) −4.95462 + 1.58390i −0.347746 + 0.111168i
\(204\) 28.9008 + 19.1247i 2.02346 + 1.33899i
\(205\) −2.91644 + 5.05142i −0.203693 + 0.352806i
\(206\) −12.8786 22.3063i −0.897292 1.55416i
\(207\) −22.8471 17.2090i −1.58798 1.19611i
\(208\) 3.88310 + 2.24191i 0.269244 + 0.155448i
\(209\) 5.27461 0.364852
\(210\) −23.7436 + 23.1172i −1.63846 + 1.59524i
\(211\) −1.97243 −0.135788 −0.0678938 0.997693i \(-0.521628\pi\)
−0.0678938 + 0.997693i \(0.521628\pi\)
\(212\) −14.4034 8.31579i −0.989228 0.571131i
\(213\) −3.92346 0.239555i −0.268831 0.0164140i
\(214\) 3.16630 + 5.48418i 0.216444 + 0.374891i
\(215\) −6.73558 + 11.6664i −0.459362 + 0.795639i
\(216\) −26.1991 4.84717i −1.78262 0.329808i
\(217\) −11.3760 10.3412i −0.772255 0.702006i
\(218\) 28.5689i 1.93493i
\(219\) 4.28498 + 8.59208i 0.289552 + 0.580599i
\(220\) 8.35296 4.82258i 0.563156 0.325138i
\(221\) −4.24745 + 2.45226i −0.285714 + 0.164957i
\(222\) 5.39139 + 10.8106i 0.361847 + 0.725561i
\(223\) 15.4061i 1.03167i 0.856688 + 0.515834i \(0.172518\pi\)
−0.856688 + 0.515834i \(0.827482\pi\)
\(224\) 1.56717 + 1.42461i 0.104711 + 0.0951859i
\(225\) 4.22372 + 9.94465i 0.281581 + 0.662976i
\(226\) 16.6164 28.7805i 1.10531 1.91445i
\(227\) −2.54440 4.40703i −0.168878 0.292505i 0.769148 0.639071i \(-0.220681\pi\)
−0.938026 + 0.346566i \(0.887348\pi\)
\(228\) 46.1478 + 2.81765i 3.05621 + 0.186604i
\(229\) −12.2357 7.06429i −0.808559 0.466822i 0.0378962 0.999282i \(-0.487934\pi\)
−0.846455 + 0.532460i \(0.821268\pi\)
\(230\) 68.9470 4.54623
\(231\) 2.64686 2.57703i 0.174150 0.169556i
\(232\) 10.0810 0.661850
\(233\) 7.70435 + 4.44811i 0.504729 + 0.291405i 0.730664 0.682737i \(-0.239210\pi\)
−0.225935 + 0.974142i \(0.572544\pi\)
\(234\) 4.45041 5.90848i 0.290932 0.386249i
\(235\) −2.65168 4.59284i −0.172976 0.299604i
\(236\) 17.9122 31.0248i 1.16598 2.01954i
\(237\) −13.2898 8.79430i −0.863264 0.571251i
\(238\) −30.4757 + 9.74251i −1.97545 + 0.631513i
\(239\) 13.4414i 0.869452i −0.900563 0.434726i \(-0.856845\pi\)
0.900563 0.434726i \(-0.143155\pi\)
\(240\) 20.3828 10.1652i 1.31570 0.656158i
\(241\) −4.54772 + 2.62563i −0.292944 + 0.169131i −0.639269 0.768983i \(-0.720763\pi\)
0.346325 + 0.938115i \(0.387430\pi\)
\(242\) 22.1011 12.7601i 1.42071 0.820249i
\(243\) −4.67973 + 14.8694i −0.300205 + 0.953875i
\(244\) 42.2288i 2.70342i
\(245\) −1.95207 20.4368i −0.124713 1.30566i
\(246\) 4.68721 7.08322i 0.298845 0.451609i
\(247\) −3.27154 + 5.66648i −0.208163 + 0.360550i
\(248\) 14.8976 + 25.8033i 0.945996 + 1.63851i
\(249\) −0.182511 + 2.98919i −0.0115662 + 0.189432i
\(250\) 8.75837 + 5.05665i 0.553928 + 0.319810i
\(251\) 11.0481 0.697348 0.348674 0.937244i \(-0.386632\pi\)
0.348674 + 0.937244i \(0.386632\pi\)
\(252\) 24.5341 21.1326i 1.54550 1.33123i
\(253\) −7.68598 −0.483214
\(254\) 7.15066 + 4.12844i 0.448673 + 0.259041i
\(255\) −1.51835 + 24.8678i −0.0950830 + 1.55728i
\(256\) 16.2398 + 28.1281i 1.01499 + 1.75801i
\(257\) −7.44545 + 12.8959i −0.464434 + 0.804424i −0.999176 0.0405920i \(-0.987076\pi\)
0.534742 + 0.845016i \(0.320409\pi\)
\(258\) 10.8252 16.3588i 0.673948 1.01846i
\(259\) −7.31299 1.59073i −0.454407 0.0988433i
\(260\) 11.9647i 0.742020i
\(261\) 0.717567 5.85429i 0.0444163 0.362371i
\(262\) −16.9777 + 9.80211i −1.04889 + 0.605576i
\(263\) −14.2738 + 8.24099i −0.880161 + 0.508161i −0.870711 0.491794i \(-0.836341\pi\)
−0.00944918 + 0.999955i \(0.503008\pi\)
\(264\) −6.40692 + 3.19521i −0.394319 + 0.196652i
\(265\) 11.9565i 0.734483i
\(266\) −28.7116 + 31.5848i −1.76042 + 1.93659i
\(267\) −17.5968 11.6444i −1.07691 0.712628i
\(268\) −1.59571 + 2.76385i −0.0974733 + 0.168829i
\(269\) −1.24183 2.15091i −0.0757156 0.131143i 0.825682 0.564136i \(-0.190791\pi\)
−0.901397 + 0.432993i \(0.857457\pi\)
\(270\) −12.5541 35.4163i −0.764021 2.15537i
\(271\) 15.1860 + 8.76763i 0.922483 + 0.532596i 0.884426 0.466680i \(-0.154550\pi\)
0.0380564 + 0.999276i \(0.487883\pi\)
\(272\) 21.9910 1.33340
\(273\) 1.12679 + 4.44189i 0.0681961 + 0.268835i
\(274\) 27.6788 1.67214
\(275\) 2.51431 + 1.45164i 0.151619 + 0.0875371i
\(276\) −67.2450 4.10578i −4.04767 0.247139i
\(277\) −14.4629 25.0504i −0.868990 1.50513i −0.863030 0.505153i \(-0.831436\pi\)
−0.00595989 0.999982i \(-0.501897\pi\)
\(278\) −5.14833 + 8.91717i −0.308776 + 0.534816i
\(279\) 16.0451 6.81470i 0.960592 0.407986i
\(280\) −8.45691 + 38.8785i −0.505397 + 2.32343i
\(281\) 11.0843i 0.661231i −0.943765 0.330616i \(-0.892744\pi\)
0.943765 0.330616i \(-0.107256\pi\)
\(282\) 3.44652 + 6.91082i 0.205237 + 0.411534i
\(283\) −18.2010 + 10.5083i −1.08193 + 0.624655i −0.931418 0.363952i \(-0.881427\pi\)
−0.150517 + 0.988607i \(0.548094\pi\)
\(284\) −8.01794 + 4.62916i −0.475777 + 0.274690i
\(285\) 14.8337 + 29.7439i 0.878672 + 1.76188i
\(286\) 1.98767i 0.117533i
\(287\) 1.60226 + 5.01205i 0.0945784 + 0.295852i
\(288\) −2.21038 + 0.938800i −0.130248 + 0.0553193i
\(289\) −3.52721 + 6.10930i −0.207483 + 0.359371i
\(290\) 7.10860 + 12.3125i 0.417431 + 0.723012i
\(291\) −17.1425 1.04667i −1.00491 0.0613570i
\(292\) 19.5846 + 11.3072i 1.14610 + 0.661703i
\(293\) 5.98434 0.349609 0.174804 0.984603i \(-0.444071\pi\)
0.174804 + 0.984603i \(0.444071\pi\)
\(294\) 1.02361 + 29.8773i 0.0596984 + 1.74248i
\(295\) 25.7543 1.49947
\(296\) 12.5611 + 7.25216i 0.730099 + 0.421523i
\(297\) 1.39949 + 3.94809i 0.0812069 + 0.229092i
\(298\) −14.4755 25.0724i −0.838545 1.45240i
\(299\) 4.76718 8.25700i 0.275693 0.477515i
\(300\) 21.2224 + 14.0436i 1.22527 + 0.810806i
\(301\) 3.70045 + 11.5754i 0.213291 + 0.667198i
\(302\) 0.242796i 0.0139713i
\(303\) 4.15727 2.07328i 0.238829 0.119107i
\(304\) 25.4075 14.6690i 1.45722 0.841325i
\(305\) 26.2912 15.1792i 1.50543 0.869161i
\(306\) 4.41373 36.0095i 0.252316 2.05853i
\(307\) 13.5899i 0.775618i 0.921740 + 0.387809i \(0.126768\pi\)
−0.921740 + 0.387809i \(0.873232\pi\)
\(308\) 1.84942 8.50224i 0.105380 0.484460i
\(309\) −9.98486 + 15.0889i −0.568019 + 0.858379i
\(310\) −21.0100 + 36.3904i −1.19329 + 2.06683i
\(311\) 2.29156 + 3.96910i 0.129943 + 0.225067i 0.923654 0.383227i \(-0.125187\pi\)
−0.793712 + 0.608294i \(0.791854\pi\)
\(312\) 0.541254 8.86472i 0.0306425 0.501866i
\(313\) 9.12611 + 5.26896i 0.515838 + 0.297819i 0.735230 0.677817i \(-0.237074\pi\)
−0.219392 + 0.975637i \(0.570407\pi\)
\(314\) −18.1066 −1.02181
\(315\) 21.9757 + 7.67852i 1.23819 + 0.432635i
\(316\) −37.5349 −2.11151
\(317\) 1.89550 + 1.09437i 0.106462 + 0.0614658i 0.552286 0.833655i \(-0.313756\pi\)
−0.445824 + 0.895121i \(0.647089\pi\)
\(318\) −1.06107 + 17.3783i −0.0595018 + 0.974527i
\(319\) −0.792443 1.37255i −0.0443683 0.0768482i
\(320\) −10.2559 + 17.7637i −0.573322 + 0.993023i
\(321\) 2.45485 3.70973i 0.137017 0.207057i
\(322\) 41.8376 46.0242i 2.33152 2.56483i
\(323\) 32.0908i 1.78558i
\(324\) 10.1352 + 35.2896i 0.563067 + 1.96054i
\(325\) −3.11897 + 1.80074i −0.173009 + 0.0998870i
\(326\) −42.9219 + 24.7810i −2.37722 + 1.37249i
\(327\) −17.9591 + 8.95646i −0.993143 + 0.495293i
\(328\) 10.1979i 0.563082i
\(329\) −4.67492 1.01690i −0.257737 0.0560633i
\(330\) −8.42032 5.57201i −0.463523 0.306729i
\(331\) 8.78035 15.2080i 0.482612 0.835908i −0.517189 0.855871i \(-0.673022\pi\)
0.999801 + 0.0199634i \(0.00635496\pi\)
\(332\) 3.52684 + 6.10867i 0.193561 + 0.335257i
\(333\) 5.10561 6.77834i 0.279786 0.371451i
\(334\) −52.1222 30.0928i −2.85200 1.64660i
\(335\) −2.29432 −0.125352
\(336\) 5.58288 19.7744i 0.304571 1.07878i
\(337\) −6.56950 −0.357864 −0.178932 0.983861i \(-0.557264\pi\)
−0.178932 + 0.983861i \(0.557264\pi\)
\(338\) 2.13534 + 1.23284i 0.116147 + 0.0670577i
\(339\) −23.3015 1.42272i −1.26556 0.0772716i
\(340\) 29.3406 + 50.8195i 1.59122 + 2.75607i
\(341\) 2.34213 4.05668i 0.126833 0.219682i
\(342\) −18.9206 44.5480i −1.02311 2.40888i
\(343\) −14.8267 11.0981i −0.800567 0.599243i
\(344\) 23.5522i 1.26985i
\(345\) −21.6151 43.3418i −1.16372 2.33345i
\(346\) 27.3683 15.8011i 1.47133 0.849472i
\(347\) −8.91465 + 5.14687i −0.478563 + 0.276299i −0.719818 0.694163i \(-0.755775\pi\)
0.241254 + 0.970462i \(0.422441\pi\)
\(348\) −6.19992 12.4318i −0.332350 0.666416i
\(349\) 0.183075i 0.00979978i −0.999988 0.00489989i \(-0.998440\pi\)
0.999988 0.00489989i \(-0.00155969\pi\)
\(350\) −22.3788 + 7.15409i −1.19620 + 0.382402i
\(351\) −5.10944 0.945312i −0.272722 0.0504570i
\(352\) −0.322654 + 0.558852i −0.0171975 + 0.0297869i
\(353\) −2.30015 3.98397i −0.122425 0.212046i 0.798299 0.602262i \(-0.205734\pi\)
−0.920723 + 0.390216i \(0.872400\pi\)
\(354\) −37.4328 2.28554i −1.98953 0.121475i
\(355\) −5.76413 3.32792i −0.305928 0.176628i
\(356\) −49.6996 −2.63407
\(357\) 15.6786 + 16.1035i 0.829802 + 0.852288i
\(358\) 31.1580 1.64675
\(359\) 25.6134 + 14.7879i 1.35183 + 0.780477i 0.988505 0.151188i \(-0.0483098\pi\)
0.363320 + 0.931664i \(0.381643\pi\)
\(360\) −36.0361 27.1433i −1.89927 1.43058i
\(361\) 11.9060 + 20.6218i 0.626632 + 1.08536i
\(362\) 23.4918 40.6890i 1.23470 2.13857i
\(363\) −14.9501 9.89299i −0.784676 0.519247i
\(364\) 7.98681 + 7.26028i 0.418623 + 0.380542i
\(365\) 16.2576i 0.850960i
\(366\) −39.5603 + 19.7292i −2.06785 + 1.03126i
\(367\) 21.1390 12.2046i 1.10344 0.637074i 0.166321 0.986072i \(-0.446811\pi\)
0.937124 + 0.348997i \(0.113478\pi\)
\(368\) −37.0229 + 21.3752i −1.92995 + 1.11426i
\(369\) −5.92215 0.725885i −0.308295 0.0377881i
\(370\) 20.4554i 1.06343i
\(371\) −7.98135 7.25531i −0.414371 0.376677i
\(372\) 22.6584 34.2409i 1.17478 1.77531i
\(373\) −13.0981 + 22.6867i −0.678196 + 1.17467i 0.297327 + 0.954776i \(0.403905\pi\)
−0.975524 + 0.219895i \(0.929429\pi\)
\(374\) −4.87429 8.44253i −0.252044 0.436553i
\(375\) 0.432957 7.09101i 0.0223578 0.366178i
\(376\) 8.02984 + 4.63603i 0.414108 + 0.239085i
\(377\) 1.96603 0.101256
\(378\) −31.2594 13.1106i −1.60781 0.674338i
\(379\) −20.7850 −1.06765 −0.533827 0.845594i \(-0.679247\pi\)
−0.533827 + 0.845594i \(0.679247\pi\)
\(380\) 67.7978 + 39.1431i 3.47795 + 2.00800i
\(381\) 0.353482 5.78937i 0.0181095 0.296599i
\(382\) 28.4500 + 49.2769i 1.45563 + 2.52123i
\(383\) 9.13755 15.8267i 0.466907 0.808707i −0.532378 0.846507i \(-0.678702\pi\)
0.999285 + 0.0377998i \(0.0120349\pi\)
\(384\) 18.0132 27.2213i 0.919234 1.38913i
\(385\) 5.95818 1.90472i 0.303657 0.0970734i
\(386\) 22.6124i 1.15094i
\(387\) −13.6773 1.67645i −0.695258 0.0852186i
\(388\) −35.0322 + 20.2259i −1.77849 + 1.02681i
\(389\) 33.0735 19.0950i 1.67689 0.968154i 0.713267 0.700892i \(-0.247215\pi\)
0.963624 0.267261i \(-0.0861186\pi\)
\(390\) 11.2086 5.58989i 0.567571 0.283055i
\(391\) 46.7616i 2.36483i
\(392\) 20.8209 + 29.2370i 1.05161 + 1.47669i
\(393\) 11.4844 + 7.59965i 0.579314 + 0.383352i
\(394\) 3.42676 5.93533i 0.172638 0.299017i
\(395\) −13.4920 23.3689i −0.678857 1.17581i
\(396\) 7.88064 + 5.93589i 0.396017 + 0.298290i
\(397\) 24.1988 + 13.9712i 1.21450 + 0.701193i 0.963737 0.266856i \(-0.0859847\pi\)
0.250765 + 0.968048i \(0.419318\pi\)
\(398\) −54.0151 −2.70753
\(399\) 28.8562 + 8.14692i 1.44462 + 0.407856i
\(400\) 16.1484 0.807418
\(401\) 29.6214 + 17.1019i 1.47922 + 0.854029i 0.999723 0.0235147i \(-0.00748565\pi\)
0.479497 + 0.877543i \(0.340819\pi\)
\(402\) 3.33470 + 0.203607i 0.166320 + 0.0101550i
\(403\) 2.90538 + 5.03226i 0.144727 + 0.250675i
\(404\) 5.47098 9.47601i 0.272191 0.471449i
\(405\) −18.3278 + 18.9950i −0.910717 + 0.943869i
\(406\) 12.5325 + 2.72609i 0.621978 + 0.135294i
\(407\) 2.28030i 0.113030i
\(408\) −19.4397 38.9797i −0.962408 1.92978i
\(409\) −19.6445 + 11.3417i −0.971357 + 0.560813i −0.899650 0.436613i \(-0.856178\pi\)
−0.0717072 + 0.997426i \(0.522845\pi\)
\(410\) 12.4552 7.19100i 0.615118 0.355138i
\(411\) −8.67742 17.3996i −0.428025 0.858260i
\(412\) 42.6163i 2.09956i
\(413\) 15.6279 17.1918i 0.769000 0.845953i
\(414\) 27.5704 + 64.9138i 1.35501 + 3.19034i
\(415\) −2.53546 + 4.39155i −0.124461 + 0.215573i
\(416\) −0.400248 0.693249i −0.0196238 0.0339893i
\(417\) 7.21958 + 0.440807i 0.353545 + 0.0215864i
\(418\) −11.2631 6.50275i −0.550896 0.318060i
\(419\) −3.77782 −0.184559 −0.0922793 0.995733i \(-0.529415\pi\)
−0.0922793 + 0.995733i \(0.529415\pi\)
\(420\) 53.1459 13.4817i 2.59325 0.657837i
\(421\) −15.4562 −0.753288 −0.376644 0.926358i \(-0.622922\pi\)
−0.376644 + 0.926358i \(0.622922\pi\)
\(422\) 4.21181 + 2.43169i 0.205028 + 0.118373i
\(423\) 3.26383 4.33314i 0.158693 0.210684i
\(424\) 10.4520 + 18.1035i 0.507596 + 0.879181i
\(425\) −8.83178 + 15.2971i −0.428404 + 0.742018i
\(426\) 8.08259 + 5.34853i 0.391603 + 0.259137i
\(427\) 5.82111 26.7611i 0.281703 1.29506i
\(428\) 10.4776i 0.506452i
\(429\) −1.24950 + 0.623142i −0.0603265 + 0.0300856i
\(430\) 28.7655 16.6078i 1.38720 0.800898i
\(431\) 26.4572 15.2751i 1.27440 0.735774i 0.298586 0.954383i \(-0.403485\pi\)
0.975813 + 0.218609i \(0.0701518\pi\)
\(432\) 17.7212 + 15.1256i 0.852610 + 0.727733i
\(433\) 16.2968i 0.783173i 0.920141 + 0.391587i \(0.128074\pi\)
−0.920141 + 0.391587i \(0.871926\pi\)
\(434\) 11.5427 + 36.1068i 0.554066 + 1.73318i
\(435\) 5.51136 8.32865i 0.264249 0.399328i
\(436\) −23.6343 + 40.9358i −1.13188 + 1.96047i
\(437\) −31.1921 54.0263i −1.49212 2.58443i
\(438\) 1.44276 23.6297i 0.0689378 1.12907i
\(439\) −8.74102 5.04663i −0.417186 0.240863i 0.276686 0.960960i \(-0.410764\pi\)
−0.693873 + 0.720098i \(0.744097\pi\)
\(440\) −12.1229 −0.577937
\(441\) 18.4607 10.0101i 0.879081 0.476672i
\(442\) 12.0930 0.575206
\(443\) −6.17202 3.56342i −0.293241 0.169303i 0.346161 0.938175i \(-0.387485\pi\)
−0.639403 + 0.768872i \(0.720818\pi\)
\(444\) 1.21812 19.9504i 0.0578093 0.946806i
\(445\) −17.8646 30.9424i −0.846864 1.46681i
\(446\) 18.9933 32.8973i 0.899357 1.55773i
\(447\) −11.2230 + 16.9600i −0.530829 + 0.802179i
\(448\) 5.63448 + 17.6253i 0.266204 + 0.832718i
\(449\) 20.4959i 0.967262i −0.875272 0.483631i \(-0.839318\pi\)
0.875272 0.483631i \(-0.160682\pi\)
\(450\) 3.24108 26.4424i 0.152786 1.24651i
\(451\) −1.38846 + 0.801630i −0.0653802 + 0.0377473i
\(452\) −47.6186 + 27.4926i −2.23979 + 1.29314i
\(453\) −0.152628 + 0.0761174i −0.00717108 + 0.00357631i
\(454\) 12.5473i 0.588876i
\(455\) −1.64930 + 7.58223i −0.0773203 + 0.355460i
\(456\) −48.4610 32.0683i −2.26940 1.50174i
\(457\) 19.4091 33.6176i 0.907922 1.57257i 0.0909749 0.995853i \(-0.471002\pi\)
0.816947 0.576713i \(-0.195665\pi\)
\(458\) 17.4183 + 30.1694i 0.813903 + 1.40972i
\(459\) −24.0202 + 8.51454i −1.12117 + 0.397425i
\(460\) −98.7926 57.0379i −4.60623 2.65941i
\(461\) −4.74598 −0.221042 −0.110521 0.993874i \(-0.535252\pi\)
−0.110521 + 0.993874i \(0.535252\pi\)
\(462\) −8.82901 + 2.23968i −0.410763 + 0.104199i
\(463\) 14.6578 0.681206 0.340603 0.940207i \(-0.389369\pi\)
0.340603 + 0.940207i \(0.389369\pi\)
\(464\) −7.63430 4.40766i −0.354413 0.204621i
\(465\) 29.4626 + 1.79890i 1.36630 + 0.0834222i
\(466\) −10.9676 18.9965i −0.508065 0.879995i
\(467\) −2.21279 + 3.83267i −0.102396 + 0.177355i −0.912671 0.408694i \(-0.865984\pi\)
0.810275 + 0.586049i \(0.199318\pi\)
\(468\) −11.2648 + 4.78443i −0.520716 + 0.221160i
\(469\) −1.39221 + 1.53153i −0.0642864 + 0.0707195i
\(470\) 13.0764i 0.603168i
\(471\) 5.67649 + 11.3823i 0.261559 + 0.524468i
\(472\) −38.9948 + 22.5136i −1.79488 + 1.03627i
\(473\) −3.20669 + 1.85138i −0.147444 + 0.0851266i
\(474\) 17.5362 + 35.1630i 0.805467 + 1.61509i
\(475\) 23.5648i 1.08123i
\(476\) 51.7277 + 11.2519i 2.37093 + 0.515729i
\(477\) 11.2571 4.78115i 0.515428 0.218914i
\(478\) −16.5711 + 28.7020i −0.757944 + 1.31280i
\(479\) 5.89055 + 10.2027i 0.269146 + 0.466175i 0.968642 0.248462i \(-0.0799253\pi\)
−0.699496 + 0.714637i \(0.746592\pi\)
\(480\) −4.05880 0.247819i −0.185258 0.0113113i
\(481\) 2.44971 + 1.41434i 0.111697 + 0.0644885i
\(482\) 12.9479 0.589761
\(483\) −42.0483 11.8714i −1.91326 0.540168i
\(484\) −42.2243 −1.91928
\(485\) −25.1848 14.5405i −1.14358 0.660249i
\(486\) 28.3245 25.9820i 1.28482 1.17857i
\(487\) −11.3049 19.5806i −0.512273 0.887283i −0.999899 0.0142305i \(-0.995470\pi\)
0.487625 0.873053i \(-0.337863\pi\)
\(488\) −26.5385 + 45.9660i −1.20134 + 2.08078i
\(489\) 29.0341 + 19.2129i 1.31297 + 0.868837i
\(490\) −21.0269 + 46.0461i −0.949900 + 2.08015i
\(491\) 20.7577i 0.936782i 0.883521 + 0.468391i \(0.155166\pi\)
−0.883521 + 0.468391i \(0.844834\pi\)
\(492\) −12.5759 + 6.27179i −0.566968 + 0.282754i
\(493\) 8.35062 4.82123i 0.376093 0.217137i
\(494\) 13.9717 8.06658i 0.628618 0.362933i
\(495\) −0.862910 + 7.04007i −0.0387849 + 0.316428i
\(496\) 26.0544i 1.16988i
\(497\) −5.71921 + 1.82832i −0.256542 + 0.0820115i
\(498\) 4.07491 6.15793i 0.182601 0.275943i
\(499\) 4.16181 7.20846i 0.186308 0.322695i −0.757708 0.652593i \(-0.773681\pi\)
0.944017 + 0.329898i \(0.107014\pi\)
\(500\) −8.36645 14.4911i −0.374159 0.648062i
\(501\) −2.57658 + 42.1995i −0.115113 + 1.88534i
\(502\) −23.5914 13.6205i −1.05294 0.607913i
\(503\) −40.5206 −1.80672 −0.903361 0.428880i \(-0.858908\pi\)
−0.903361 + 0.428880i \(0.858908\pi\)
\(504\) −39.9860 + 7.58445i −1.78112 + 0.337838i
\(505\) 7.86622 0.350042
\(506\) 16.4122 + 9.47559i 0.729611 + 0.421241i
\(507\) 0.105557 1.72883i 0.00468797 0.0767801i
\(508\) −6.83069 11.8311i −0.303063 0.524920i
\(509\) 2.09254 3.62439i 0.0927504 0.160648i −0.815917 0.578169i \(-0.803767\pi\)
0.908668 + 0.417520i \(0.137101\pi\)
\(510\) 33.9002 51.2293i 1.50112 2.26847i
\(511\) 10.8524 + 9.86523i 0.480083 + 0.436412i
\(512\) 42.3930i 1.87352i
\(513\) −22.0724 + 25.8599i −0.974518 + 1.14174i
\(514\) 31.7971 18.3581i 1.40251 0.809741i
\(515\) −26.5325 + 15.3185i −1.16916 + 0.675015i
\(516\) −29.0444 + 14.4848i −1.27861 + 0.637659i
\(517\) 1.45771i 0.0641101i
\(518\) 13.6546 + 12.4125i 0.599949 + 0.545374i
\(519\) −18.5130 12.2507i −0.812632 0.537747i
\(520\) 7.51916 13.0236i 0.329737 0.571121i
\(521\) −4.76939 8.26082i −0.208951 0.361913i 0.742434 0.669920i \(-0.233671\pi\)
−0.951384 + 0.308007i \(0.900338\pi\)
\(522\) −8.74965 + 11.6163i −0.382962 + 0.508430i
\(523\) 39.1907 + 22.6268i 1.71369 + 0.989399i 0.929456 + 0.368933i \(0.120277\pi\)
0.784233 + 0.620466i \(0.213056\pi\)
\(524\) 32.4361 1.41698
\(525\) 11.5131 + 11.8251i 0.502472 + 0.516088i
\(526\) 40.6393 1.77196
\(527\) 24.6809 + 14.2495i 1.07512 + 0.620719i
\(528\) 6.24896 + 0.381544i 0.271951 + 0.0166046i
\(529\) 33.9521 + 58.8067i 1.47618 + 2.55681i
\(530\) −14.7405 + 25.5313i −0.640285 + 1.10901i
\(531\) 10.2986 + 24.2478i 0.446921 + 1.05226i
\(532\) 67.2695 21.5048i 2.91650 0.932351i
\(533\) 1.98882i 0.0861455i
\(534\) 23.2195 + 46.5589i 1.00481 + 2.01480i
\(535\) 6.52322 3.76618i 0.282023 0.162826i
\(536\) 3.47385 2.00563i 0.150047 0.0866299i
\(537\) −9.76816 19.5867i −0.421527 0.845230i
\(538\) 6.12391i 0.264020i
\(539\) 2.34401 5.13307i 0.100964 0.221097i
\(540\) −11.3104 + 61.1330i −0.486721 + 2.63074i
\(541\) −2.48712 + 4.30782i −0.106930 + 0.185207i −0.914525 0.404530i \(-0.867435\pi\)
0.807595 + 0.589737i \(0.200769\pi\)
\(542\) −21.6182 37.4438i −0.928580 1.60835i
\(543\) −32.9430 2.01140i −1.41372 0.0863175i
\(544\) −3.40006 1.96303i −0.145776 0.0841641i
\(545\) −33.9816 −1.45561
\(546\) 3.07006 10.8741i 0.131387 0.465368i
\(547\) 8.47425 0.362333 0.181166 0.983452i \(-0.442013\pi\)
0.181166 + 0.983452i \(0.442013\pi\)
\(548\) −39.6604 22.8979i −1.69421 0.978151i
\(549\) 24.8046 + 18.6834i 1.05863 + 0.797389i
\(550\) −3.57928 6.19949i −0.152621 0.264347i
\(551\) 6.43196 11.1405i 0.274011 0.474601i
\(552\) 70.6158 + 46.7289i 3.00561 + 1.98891i
\(553\) −23.7865 5.17408i −1.01150 0.220024i
\(554\) 71.3217i 3.03017i
\(555\) 12.8588 6.41284i 0.545825 0.272210i
\(556\) 14.7539 8.51815i 0.625703 0.361250i
\(557\) 5.53943 3.19819i 0.234713 0.135512i −0.378031 0.925793i \(-0.623399\pi\)
0.612745 + 0.790281i \(0.290065\pi\)
\(558\) −42.6631 5.22927i −1.80607 0.221373i
\(559\) 4.59323i 0.194273i
\(560\) 23.4030 25.7450i 0.988959 1.08792i
\(561\) −3.77908 + 5.71087i −0.159553 + 0.241113i
\(562\) −13.6651 + 23.6687i −0.576428 + 0.998403i
\(563\) 19.2825 + 33.3983i 0.812661 + 1.40757i 0.910995 + 0.412417i \(0.135315\pi\)
−0.0983345 + 0.995153i \(0.531352\pi\)
\(564\) 0.778697 12.7536i 0.0327890 0.537023i
\(565\) −34.2332 19.7646i −1.44020 0.831501i
\(566\) 51.8203 2.17817
\(567\) 1.55827 + 23.7607i 0.0654413 + 0.997856i
\(568\) 11.6367 0.488264
\(569\) 1.85590 + 1.07151i 0.0778035 + 0.0449199i 0.538397 0.842691i \(-0.319030\pi\)
−0.460594 + 0.887611i \(0.652363\pi\)
\(570\) 4.99454 81.8010i 0.209198 3.42627i
\(571\) 17.8324 + 30.8866i 0.746263 + 1.29257i 0.949602 + 0.313457i \(0.101487\pi\)
−0.203339 + 0.979108i \(0.565179\pi\)
\(572\) −1.64435 + 2.84809i −0.0687535 + 0.119085i
\(573\) 22.0575 33.3329i 0.921467 1.39250i
\(574\) 2.75769 12.6778i 0.115104 0.529160i
\(575\) 34.3378i 1.43199i
\(576\) −20.8257 2.55264i −0.867739 0.106360i
\(577\) −24.8934 + 14.3722i −1.03633 + 0.598323i −0.918791 0.394745i \(-0.870833\pi\)
−0.117536 + 0.993069i \(0.537499\pi\)
\(578\) 15.0636 8.69696i 0.626562 0.361746i
\(579\) −14.2148 + 7.08908i −0.590745 + 0.294612i
\(580\) 23.5230i 0.976740i
\(581\) 1.39296 + 4.35733i 0.0577895 + 0.180772i
\(582\) 35.3147 + 23.3690i 1.46384 + 0.968675i
\(583\) 1.64322 2.84614i 0.0680552 0.117875i
\(584\) −14.2119 24.6157i −0.588092 1.01860i
\(585\) −7.02789 5.29358i −0.290568 0.218863i
\(586\) −12.7786 7.37774i −0.527880 0.304771i
\(587\) 10.8303 0.447015 0.223507 0.974702i \(-0.428249\pi\)
0.223507 + 0.974702i \(0.428249\pi\)
\(588\) 23.2499 43.6573i 0.958811 1.80040i
\(589\) 38.0203 1.56660
\(590\) −54.9942 31.7509i −2.26408 1.30717i
\(591\) −4.80540 0.293404i −0.197668 0.0120690i
\(592\) −6.34165 10.9841i −0.260640 0.451442i
\(593\) 1.35983 2.35529i 0.0558415 0.0967203i −0.836753 0.547580i \(-0.815549\pi\)
0.892595 + 0.450860i \(0.148883\pi\)
\(594\) 1.87897 10.1559i 0.0770951 0.416701i
\(595\) 11.5883 + 36.2496i 0.475075 + 1.48609i
\(596\) 47.9008i 1.96209i
\(597\) 16.9339 + 33.9553i 0.693060 + 1.38970i
\(598\) −20.3591 + 11.7543i −0.832547 + 0.480671i
\(599\) 17.1120 9.87963i 0.699179 0.403671i −0.107863 0.994166i \(-0.534401\pi\)
0.807041 + 0.590495i \(0.201067\pi\)
\(600\) −14.2749 28.6235i −0.582770 1.16855i
\(601\) 25.1855i 1.02734i −0.857989 0.513668i \(-0.828286\pi\)
0.857989 0.513668i \(-0.171714\pi\)
\(602\) 6.36894 29.2796i 0.259579 1.19335i
\(603\) −0.917449 2.16011i −0.0373614 0.0879665i
\(604\) −0.200858 + 0.347897i −0.00817281 + 0.0141557i
\(605\) −15.1776 26.2884i −0.617057 1.06877i
\(606\) −11.4332 0.698080i −0.464443 0.0283575i
\(607\) 9.19098 + 5.30641i 0.373050 + 0.215381i 0.674790 0.738010i \(-0.264234\pi\)
−0.301740 + 0.953390i \(0.597567\pi\)
\(608\) −5.23771 −0.212417
\(609\) −2.21530 8.73289i −0.0897683 0.353875i
\(610\) −74.8543 −3.03076
\(611\) 1.56601 + 0.904136i 0.0633540 + 0.0365774i
\(612\) −36.1140 + 47.9459i −1.45982 + 1.93810i
\(613\) −18.9373 32.8004i −0.764870 1.32479i −0.940315 0.340304i \(-0.889470\pi\)
0.175445 0.984489i \(-0.443863\pi\)
\(614\) 16.7542 29.0191i 0.676145 1.17112i
\(615\) −8.42520 5.57524i −0.339737 0.224816i
\(616\) −7.35628 + 8.09241i −0.296393 + 0.326053i
\(617\) 4.29321i 0.172838i −0.996259 0.0864191i \(-0.972458\pi\)
0.996259 0.0864191i \(-0.0275424\pi\)
\(618\) 39.9233 19.9103i 1.60595 0.800908i
\(619\) −13.2571 + 7.65401i −0.532849 + 0.307641i −0.742176 0.670205i \(-0.766206\pi\)
0.209327 + 0.977846i \(0.432873\pi\)
\(620\) 60.2095 34.7620i 2.41807 1.39608i
\(621\) 32.1631 37.6822i 1.29066 1.51213i
\(622\) 11.3005i 0.453110i
\(623\) −31.4954 6.85093i −1.26184 0.274477i
\(624\) −4.28577 + 6.47657i −0.171568 + 0.259270i
\(625\) 15.0184 26.0126i 0.600735 1.04050i
\(626\) −12.9916 22.5021i −0.519248 0.899364i
\(627\) −0.556774 + 9.11891i −0.0222354 + 0.364174i
\(628\) 25.9446 + 14.9791i 1.03530 + 0.597731i
\(629\) 13.8734 0.553167
\(630\) −37.4594 43.4888i −1.49242 1.73264i
\(631\) −44.9784 −1.79056 −0.895280 0.445503i \(-0.853025\pi\)
−0.895280 + 0.445503i \(0.853025\pi\)
\(632\) 40.8567 + 23.5886i 1.62519 + 0.938306i
\(633\) 0.208205 3.41000i 0.00827539 0.135535i
\(634\) −2.69836 4.67370i −0.107166 0.185616i
\(635\) 4.91061 8.50543i 0.194872 0.337528i
\(636\) 15.8970 24.0232i 0.630357 0.952583i
\(637\) 4.06056 + 5.70191i 0.160885 + 0.225918i
\(638\) 3.90782i 0.154712i
\(639\) 0.828301 6.75771i 0.0327671 0.267331i
\(640\) 47.8661 27.6355i 1.89207 1.09239i
\(641\) −14.5890 + 8.42299i −0.576232 + 0.332688i −0.759635 0.650350i \(-0.774622\pi\)
0.183402 + 0.983038i \(0.441289\pi\)
\(642\) −9.81546 + 4.89509i −0.387385 + 0.193194i
\(643\) 20.9545i 0.826366i −0.910648 0.413183i \(-0.864417\pi\)
0.910648 0.413183i \(-0.135583\pi\)
\(644\) −98.0227 + 31.3360i −3.86264 + 1.23481i
\(645\) −19.4582 12.8761i −0.766165 0.506998i
\(646\) 39.5628 68.5248i 1.55658 2.69607i
\(647\) 3.68349 + 6.38000i 0.144813 + 0.250824i 0.929303 0.369318i \(-0.120409\pi\)
−0.784490 + 0.620141i \(0.787075\pi\)
\(648\) 11.1454 44.7821i 0.437834 1.75921i
\(649\) 6.13058 + 3.53949i 0.240646 + 0.138937i
\(650\) 8.88010 0.348306
\(651\) 19.0790 18.5756i 0.747765 0.728037i
\(652\) 82.0025 3.21146
\(653\) −21.7548 12.5601i −0.851330 0.491515i 0.00976961 0.999952i \(-0.496890\pi\)
−0.861099 + 0.508437i \(0.830224\pi\)
\(654\) 49.3908 + 3.01566i 1.93133 + 0.117922i
\(655\) 11.6592 + 20.1943i 0.455563 + 0.789058i
\(656\) −4.45876 + 7.72280i −0.174085 + 0.301525i
\(657\) −15.3066 + 6.50105i −0.597166 + 0.253630i
\(658\) 8.72888 + 7.93485i 0.340287 + 0.309333i
\(659\) 35.6744i 1.38968i −0.719165 0.694839i \(-0.755476\pi\)
0.719165 0.694839i \(-0.244524\pi\)
\(660\) 7.45571 + 14.9499i 0.290213 + 0.581925i
\(661\) −14.5858 + 8.42113i −0.567323 + 0.327544i −0.756079 0.654480i \(-0.772888\pi\)
0.188757 + 0.982024i \(0.439554\pi\)
\(662\) −37.4981 + 21.6495i −1.45740 + 0.841433i
\(663\) −3.79120 7.60197i −0.147238 0.295236i
\(664\) 8.86570i 0.344056i
\(665\) 37.5688 + 34.1513i 1.45686 + 1.32433i
\(666\) −19.2588 + 8.17967i −0.746265 + 0.316956i
\(667\) −9.37244 + 16.2335i −0.362902 + 0.628565i
\(668\) 49.7898 + 86.2385i 1.92643 + 3.33667i
\(669\) −26.6345 1.62623i −1.02975 0.0628736i
\(670\) 4.89916 + 2.82853i 0.189271 + 0.109276i
\(671\) 8.34451 0.322136
\(672\) −2.62834 + 2.55900i −0.101390 + 0.0987155i
\(673\) −7.72201 −0.297661 −0.148831 0.988863i \(-0.547551\pi\)
−0.148831 + 0.988863i \(0.547551\pi\)
\(674\) 14.0281 + 8.09915i 0.540344 + 0.311968i
\(675\) −17.6385 + 6.25237i −0.678905 + 0.240654i
\(676\) −2.03979 3.53302i −0.0784535 0.135885i
\(677\) 2.65076 4.59125i 0.101877 0.176456i −0.810581 0.585627i \(-0.800849\pi\)
0.912458 + 0.409170i \(0.134182\pi\)
\(678\) 48.0026 + 31.7650i 1.84353 + 1.21993i
\(679\) −24.9886 + 7.98837i −0.958973 + 0.306566i
\(680\) 73.7558i 2.82841i
\(681\) 7.88759 3.93364i 0.302253 0.150737i
\(682\) −10.0025 + 5.77493i −0.383015 + 0.221134i
\(683\) −2.05816 + 1.18828i −0.0787532 + 0.0454682i −0.538859 0.842396i \(-0.681145\pi\)
0.460106 + 0.887864i \(0.347811\pi\)
\(684\) −9.74249 + 79.4843i −0.372513 + 3.03916i
\(685\) 32.9228i 1.25792i
\(686\) 17.9779 + 41.9773i 0.686398 + 1.60270i
\(687\) 13.5045 20.4078i 0.515231 0.778606i
\(688\) −10.2976 + 17.8360i −0.392592 + 0.679990i
\(689\) 2.03839 + 3.53060i 0.0776566 + 0.134505i
\(690\) −7.27787 + 119.198i −0.277064 + 4.53778i
\(691\) 24.4869 + 14.1375i 0.931524 + 0.537815i 0.887293 0.461206i \(-0.152583\pi\)
0.0442306 + 0.999021i \(0.485916\pi\)
\(692\) −52.2873 −1.98766
\(693\) 4.17585 + 4.84799i 0.158627 + 0.184160i
\(694\) 25.3811 0.963453
\(695\) 10.6066 + 6.12373i 0.402332 + 0.232286i
\(696\) −1.06412 + 17.4283i −0.0403355 + 0.660619i
\(697\) −4.87712 8.44742i −0.184734 0.319969i
\(698\) −0.225702 + 0.390928i −0.00854296 + 0.0147968i
\(699\) −8.50328 + 12.8500i −0.321624 + 0.486031i
\(700\) 37.9845 + 8.26245i 1.43568 + 0.312291i
\(701\) 17.6262i 0.665733i 0.942974 + 0.332867i \(0.108016\pi\)
−0.942974 + 0.332867i \(0.891984\pi\)
\(702\) 9.74498 + 8.31769i 0.367801 + 0.313931i
\(703\) 16.0287 9.25417i 0.604533 0.349028i
\(704\) −4.88265 + 2.81900i −0.184022 + 0.106245i
\(705\) 8.22015 4.09949i 0.309589 0.154396i
\(706\) 11.3429i 0.426894i
\(707\) 4.77328 5.25094i 0.179518 0.197482i
\(708\) 51.7459 + 34.2421i 1.94473 + 1.28690i
\(709\) 14.9460 25.8871i 0.561307 0.972212i −0.436076 0.899910i \(-0.643632\pi\)
0.997383 0.0723023i \(-0.0230346\pi\)
\(710\) 8.20559 + 14.2125i 0.307950 + 0.533386i
\(711\) 16.6067 22.0475i 0.622800 0.826845i
\(712\) 54.0979 + 31.2334i 2.02740 + 1.17052i
\(713\) −55.4019 −2.07482
\(714\) −13.6262 53.7157i −0.509948 2.01026i
\(715\) −2.36425 −0.0884181
\(716\) −44.6457 25.7762i −1.66849 0.963301i
\(717\) 23.2379 + 1.41884i 0.867835 + 0.0529875i
\(718\) −36.4623 63.1545i −1.36076 2.35691i
\(719\) −11.9755 + 20.7422i −0.446612 + 0.773554i −0.998163 0.0605870i \(-0.980703\pi\)
0.551551 + 0.834141i \(0.314036\pi\)
\(720\) 15.4223 + 36.3114i 0.574754 + 1.35325i
\(721\) −5.87453 + 27.0067i −0.218779 + 1.00578i
\(722\) 58.7128i 2.18506i
\(723\) −4.05922 8.13939i −0.150964 0.302707i
\(724\) −67.3219 + 38.8683i −2.50200 + 1.44453i
\(725\) 6.13200 3.54031i 0.227737 0.131484i
\(726\) 19.7271 + 39.5560i 0.732141 + 1.46806i
\(727\) 39.4447i 1.46292i −0.681882 0.731462i \(-0.738838\pi\)
0.681882 0.731462i \(-0.261162\pi\)
\(728\) −4.13094 12.9221i −0.153103 0.478924i
\(729\) −25.2128 9.66004i −0.933806 0.357779i
\(730\) 20.0430 34.7155i 0.741824 1.28488i
\(731\) −11.2638 19.5095i −0.416607 0.721585i
\(732\) 73.0065 + 4.45757i 2.69840 + 0.164756i
\(733\) −22.3960 12.9303i −0.827216 0.477593i 0.0256826 0.999670i \(-0.491824\pi\)
−0.852898 + 0.522077i \(0.825157\pi\)
\(734\) −60.1852 −2.22148
\(735\) 35.5378 1.21755i 1.31083 0.0449100i
\(736\) 7.63222 0.281327
\(737\) −0.546142 0.315315i −0.0201174 0.0116148i
\(738\) 11.7509 + 8.85108i 0.432557 + 0.325813i
\(739\) 10.8244 + 18.7484i 0.398182 + 0.689672i 0.993502 0.113817i \(-0.0363078\pi\)
−0.595319 + 0.803489i \(0.702974\pi\)
\(740\) 16.9222 29.3101i 0.622072 1.07746i
\(741\) −9.45105 6.25409i −0.347193 0.229750i
\(742\) 8.09826 + 25.3323i 0.297296 + 0.929978i
\(743\) 31.9647i 1.17267i 0.810068 + 0.586336i \(0.199430\pi\)
−0.810068 + 0.586336i \(0.800570\pi\)
\(744\) −46.1822 + 23.0316i −1.69312 + 0.844381i
\(745\) −29.8226 + 17.2181i −1.09261 + 0.630821i
\(746\) 55.9380 32.2958i 2.04804 1.18243i
\(747\) −5.14853 0.631062i −0.188375 0.0230893i
\(748\) 16.1295i 0.589752i
\(749\) 1.44430 6.63980i 0.0527735 0.242613i
\(750\) −9.66660 + 14.6080i −0.352974 + 0.533408i
\(751\) 21.7753 37.7159i 0.794592 1.37627i −0.128505 0.991709i \(-0.541018\pi\)
0.923098 0.384566i \(-0.125649\pi\)
\(752\) −4.05398 7.02170i −0.147833 0.256055i
\(753\) −1.16621 + 19.1003i −0.0424989 + 0.696052i
\(754\) −4.19815 2.42380i −0.152888 0.0882697i
\(755\) −0.288796 −0.0105104
\(756\) 33.9449 + 44.6460i 1.23456 + 1.62376i
\(757\) −2.70361 −0.0982643 −0.0491321 0.998792i \(-0.515646\pi\)
−0.0491321 + 0.998792i \(0.515646\pi\)
\(758\) 44.3831 + 25.6246i 1.61207 + 0.930727i
\(759\) 0.811313 13.2878i 0.0294488 0.482315i
\(760\) −49.1985 85.2143i −1.78462 3.09105i
\(761\) −17.1006 + 29.6191i −0.619897 + 1.07369i 0.369607 + 0.929188i \(0.379492\pi\)
−0.989504 + 0.144505i \(0.953841\pi\)
\(762\) −7.89218 + 11.9265i −0.285903 + 0.432052i
\(763\) −20.6203 + 22.6837i −0.746504 + 0.821206i
\(764\) 94.1437i 3.40600i
\(765\) −42.8319 5.24995i −1.54859 0.189812i
\(766\) −39.0236 + 22.5303i −1.40998 + 0.814052i
\(767\) −7.60491 + 4.39070i −0.274597 + 0.158539i
\(768\) −50.3430 + 25.1067i −1.81660 + 0.905961i
\(769\) 31.1068i 1.12174i −0.827904 0.560869i \(-0.810467\pi\)
0.827904 0.560869i \(-0.189533\pi\)
\(770\) −15.0710 3.27826i −0.543120 0.118140i
\(771\) −21.5089 14.2332i −0.774624 0.512595i
\(772\) −18.7066 + 32.4009i −0.673267 + 1.16613i
\(773\) 18.9636 + 32.8459i 0.682073 + 1.18138i 0.974347 + 0.225050i \(0.0722546\pi\)
−0.292274 + 0.956335i \(0.594412\pi\)
\(774\) 27.1390 + 20.4417i 0.975491 + 0.734763i
\(775\) 18.1236 + 10.4637i 0.651018 + 0.375866i
\(776\) 50.8434 1.82517