Properties

Label 1110.2.ba.b.529.8
Level $1110$
Weight $2$
Character 1110.529
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 1110 = 2 \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1110.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 529.8
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.b.619.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.653296 + 2.13851i) q^{5} -1.00000i q^{6} +(3.20005 + 1.84755i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.653296 + 2.13851i) q^{5} -1.00000i q^{6} +(3.20005 + 1.84755i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +(-1.52535 + 1.63502i) q^{10} +4.44239 q^{11} +(0.866025 - 0.500000i) q^{12} +(3.09657 - 5.36341i) q^{13} +3.69510i q^{14} +(0.503482 - 2.17865i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.67263 - 2.89708i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(4.88936 + 2.82287i) q^{19} +(-2.17865 - 0.503482i) q^{20} +(-1.84755 - 3.20005i) q^{21} +(2.22120 + 3.84723i) q^{22} -3.31793 q^{23} +(0.866025 + 0.500000i) q^{24} +(-4.14641 + 2.79415i) q^{25} +6.19314 q^{26} -1.00000i q^{27} +(-3.20005 + 1.84755i) q^{28} -0.108323i q^{29} +(2.13851 - 0.653296i) q^{30} -3.58380i q^{31} +(0.500000 - 0.866025i) q^{32} +(-3.84723 - 2.22120i) q^{33} +(1.67263 - 2.89708i) q^{34} +(-1.86042 + 8.05033i) q^{35} -1.00000 q^{36} +(1.62326 + 5.86217i) q^{37} +5.64574i q^{38} +(-5.36341 + 3.09657i) q^{39} +(-0.653296 - 2.13851i) q^{40} +(0.667426 - 1.15602i) q^{41} +(1.84755 - 3.20005i) q^{42} +1.49655 q^{43} +(-2.22120 + 3.84723i) q^{44} +(-1.52535 + 1.63502i) q^{45} +(-1.65897 - 2.87341i) q^{46} +1.22763i q^{47} +1.00000i q^{48} +(3.32690 + 5.76236i) q^{49} +(-4.49301 - 2.19382i) q^{50} +3.34526i q^{51} +(3.09657 + 5.36341i) q^{52} +(-7.70341 + 4.44757i) q^{53} +(0.866025 - 0.500000i) q^{54} +(2.90220 + 9.50008i) q^{55} +(-3.20005 - 1.84755i) q^{56} +(-2.82287 - 4.88936i) q^{57} +(0.0938106 - 0.0541616i) q^{58} +(-0.292750 + 0.169019i) q^{59} +(1.63502 + 1.52535i) q^{60} +(11.4397 + 6.60469i) q^{61} +(3.10366 - 1.79190i) q^{62} +3.69510i q^{63} +1.00000 q^{64} +(13.4927 + 3.11813i) q^{65} -4.44239i q^{66} +(-12.7735 - 7.37478i) q^{67} +3.34526 q^{68} +(2.87341 + 1.65897i) q^{69} +(-7.90200 + 2.41400i) q^{70} +(2.66182 - 4.61040i) q^{71} +(-0.500000 - 0.866025i) q^{72} +2.67315i q^{73} +(-4.26515 + 4.33687i) q^{74} +(4.98797 - 0.346604i) q^{75} +(-4.88936 + 2.82287i) q^{76} +(14.2159 + 8.20755i) q^{77} +(-5.36341 - 3.09657i) q^{78} +(-4.87431 - 2.81418i) q^{79} +(1.52535 - 1.63502i) q^{80} +(-0.500000 + 0.866025i) q^{81} +1.33485 q^{82} +(5.20372 - 3.00437i) q^{83} +3.69510 q^{84} +(5.10271 - 5.46959i) q^{85} +(0.748273 + 1.29605i) q^{86} +(-0.0541616 + 0.0938106i) q^{87} -4.44239 q^{88} +(-13.9095 + 8.03066i) q^{89} +(-2.17865 - 0.503482i) q^{90} +(19.8184 - 11.4421i) q^{91} +(1.65897 - 2.87341i) q^{92} +(-1.79190 + 3.10366i) q^{93} +(-1.06316 + 0.613817i) q^{94} +(-2.84253 + 12.3001i) q^{95} +(-0.866025 + 0.500000i) q^{96} +12.8116 q^{97} +(-3.32690 + 5.76236i) q^{98} +(2.22120 + 3.84723i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} + 4q^{5} - 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} + 4q^{5} - 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} + 14q^{13} + 2q^{15} - 18q^{16} - 18q^{18} + 6q^{19} - 2q^{20} + 2q^{22} + 20q^{23} - 2q^{25} + 28q^{26} - 2q^{30} + 18q^{32} + 6q^{33} - 20q^{35} - 36q^{36} - 20q^{37} + 6q^{39} - 4q^{40} + 10q^{41} - 2q^{44} + 2q^{45} + 10q^{46} + 10q^{49} - 4q^{50} + 14q^{52} + 12q^{53} + 40q^{55} - 8q^{57} - 30q^{58} + 18q^{59} - 4q^{60} - 6q^{61} + 12q^{62} + 36q^{64} - 32q^{65} - 36q^{67} + 12q^{69} - 40q^{70} - 24q^{71} - 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} + 24q^{77} + 6q^{78} - 2q^{80} - 18q^{81} + 20q^{82} - 36q^{83} + 26q^{85} + 10q^{87} - 4q^{88} - 2q^{90} - 36q^{91} - 10q^{92} - 12q^{93} + 12q^{94} + 18q^{95} - 52q^{97} - 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.653296 + 2.13851i 0.292163 + 0.956369i
\(6\) 1.00000i 0.408248i
\(7\) 3.20005 + 1.84755i 1.20951 + 0.698309i 0.962652 0.270743i \(-0.0872694\pi\)
0.246855 + 0.969052i \(0.420603\pi\)
\(8\) −1.00000 −0.353553
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −1.52535 + 1.63502i −0.482359 + 0.517040i
\(11\) 4.44239 1.33943 0.669716 0.742617i \(-0.266416\pi\)
0.669716 + 0.742617i \(0.266416\pi\)
\(12\) 0.866025 0.500000i 0.250000 0.144338i
\(13\) 3.09657 5.36341i 0.858833 1.48754i −0.0142091 0.999899i \(-0.504523\pi\)
0.873043 0.487644i \(-0.162144\pi\)
\(14\) 3.69510i 0.987558i
\(15\) 0.503482 2.17865i 0.129998 0.562524i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.67263 2.89708i −0.405673 0.702646i 0.588727 0.808332i \(-0.299629\pi\)
−0.994400 + 0.105686i \(0.966296\pi\)
\(18\) −0.500000 + 0.866025i −0.117851 + 0.204124i
\(19\) 4.88936 + 2.82287i 1.12170 + 0.647611i 0.941833 0.336081i \(-0.109101\pi\)
0.179862 + 0.983692i \(0.442435\pi\)
\(20\) −2.17865 0.503482i −0.487160 0.112582i
\(21\) −1.84755 3.20005i −0.403169 0.698309i
\(22\) 2.22120 + 3.84723i 0.473561 + 0.820231i
\(23\) −3.31793 −0.691837 −0.345918 0.938265i \(-0.612433\pi\)
−0.345918 + 0.938265i \(0.612433\pi\)
\(24\) 0.866025 + 0.500000i 0.176777 + 0.102062i
\(25\) −4.14641 + 2.79415i −0.829282 + 0.558831i
\(26\) 6.19314 1.21457
\(27\) 1.00000i 0.192450i
\(28\) −3.20005 + 1.84755i −0.604753 + 0.349155i
\(29\) 0.108323i 0.0201151i −0.999949 0.0100575i \(-0.996799\pi\)
0.999949 0.0100575i \(-0.00320147\pi\)
\(30\) 2.13851 0.653296i 0.390436 0.119275i
\(31\) 3.58380i 0.643670i −0.946796 0.321835i \(-0.895700\pi\)
0.946796 0.321835i \(-0.104300\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −3.84723 2.22120i −0.669716 0.386661i
\(34\) 1.67263 2.89708i 0.286854 0.496846i
\(35\) −1.86042 + 8.05033i −0.314468 + 1.36075i
\(36\) −1.00000 −0.166667
\(37\) 1.62326 + 5.86217i 0.266863 + 0.963734i
\(38\) 5.64574i 0.915861i
\(39\) −5.36341 + 3.09657i −0.858833 + 0.495848i
\(40\) −0.653296 2.13851i −0.103295 0.338127i
\(41\) 0.667426 1.15602i 0.104234 0.180539i −0.809191 0.587546i \(-0.800094\pi\)
0.913425 + 0.407007i \(0.133427\pi\)
\(42\) 1.84755 3.20005i 0.285084 0.493779i
\(43\) 1.49655 0.228221 0.114111 0.993468i \(-0.463598\pi\)
0.114111 + 0.993468i \(0.463598\pi\)
\(44\) −2.22120 + 3.84723i −0.334858 + 0.579991i
\(45\) −1.52535 + 1.63502i −0.227386 + 0.243735i
\(46\) −1.65897 2.87341i −0.244601 0.423662i
\(47\) 1.22763i 0.179069i 0.995984 + 0.0895343i \(0.0285379\pi\)
−0.995984 + 0.0895343i \(0.971462\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 3.32690 + 5.76236i 0.475271 + 0.823194i
\(50\) −4.49301 2.19382i −0.635408 0.310253i
\(51\) 3.34526i 0.468431i
\(52\) 3.09657 + 5.36341i 0.429417 + 0.743772i
\(53\) −7.70341 + 4.44757i −1.05814 + 0.610920i −0.924919 0.380165i \(-0.875867\pi\)
−0.133226 + 0.991086i \(0.542534\pi\)
\(54\) 0.866025 0.500000i 0.117851 0.0680414i
\(55\) 2.90220 + 9.50008i 0.391332 + 1.28099i
\(56\) −3.20005 1.84755i −0.427625 0.246890i
\(57\) −2.82287 4.88936i −0.373899 0.647611i
\(58\) 0.0938106 0.0541616i 0.0123179 0.00711176i
\(59\) −0.292750 + 0.169019i −0.0381128 + 0.0220044i −0.518935 0.854814i \(-0.673671\pi\)
0.480823 + 0.876818i \(0.340338\pi\)
\(60\) 1.63502 + 1.52535i 0.211081 + 0.196922i
\(61\) 11.4397 + 6.60469i 1.46470 + 0.845644i 0.999223 0.0394160i \(-0.0125497\pi\)
0.465476 + 0.885060i \(0.345883\pi\)
\(62\) 3.10366 1.79190i 0.394166 0.227572i
\(63\) 3.69510i 0.465539i
\(64\) 1.00000 0.125000
\(65\) 13.4927 + 3.11813i 1.67356 + 0.386756i
\(66\) 4.44239i 0.546821i
\(67\) −12.7735 7.37478i −1.56053 0.900972i −0.997203 0.0747384i \(-0.976188\pi\)
−0.563327 0.826234i \(-0.690479\pi\)
\(68\) 3.34526 0.405673
\(69\) 2.87341 + 1.65897i 0.345918 + 0.199716i
\(70\) −7.90200 + 2.41400i −0.944470 + 0.288528i
\(71\) 2.66182 4.61040i 0.315899 0.547154i −0.663729 0.747973i \(-0.731027\pi\)
0.979628 + 0.200819i \(0.0643605\pi\)
\(72\) −0.500000 0.866025i −0.0589256 0.102062i
\(73\) 2.67315i 0.312868i 0.987688 + 0.156434i \(0.0499999\pi\)
−0.987688 + 0.156434i \(0.950000\pi\)
\(74\) −4.26515 + 4.33687i −0.495814 + 0.504151i
\(75\) 4.98797 0.346604i 0.575961 0.0400224i
\(76\) −4.88936 + 2.82287i −0.560848 + 0.323806i
\(77\) 14.2159 + 8.20755i 1.62005 + 0.935338i
\(78\) −5.36341 3.09657i −0.607287 0.350617i
\(79\) −4.87431 2.81418i −0.548403 0.316620i 0.200075 0.979781i \(-0.435881\pi\)
−0.748478 + 0.663160i \(0.769215\pi\)
\(80\) 1.52535 1.63502i 0.170540 0.182801i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 1.33485 0.147410
\(83\) 5.20372 3.00437i 0.571182 0.329772i −0.186439 0.982466i \(-0.559695\pi\)
0.757621 + 0.652694i \(0.226361\pi\)
\(84\) 3.69510 0.403169
\(85\) 5.10271 5.46959i 0.553466 0.593260i
\(86\) 0.748273 + 1.29605i 0.0806884 + 0.139756i
\(87\) −0.0541616 + 0.0938106i −0.00580673 + 0.0100575i
\(88\) −4.44239 −0.473561
\(89\) −13.9095 + 8.03066i −1.47440 + 0.851248i −0.999584 0.0288348i \(-0.990820\pi\)
−0.474820 + 0.880083i \(0.657487\pi\)
\(90\) −2.17865 0.503482i −0.229650 0.0530716i
\(91\) 19.8184 11.4421i 2.07753 1.19946i
\(92\) 1.65897 2.87341i 0.172959 0.299574i
\(93\) −1.79190 + 3.10366i −0.185811 + 0.321835i
\(94\) −1.06316 + 0.613817i −0.109657 + 0.0633103i
\(95\) −2.84253 + 12.3001i −0.291637 + 1.26196i
\(96\) −0.866025 + 0.500000i −0.0883883 + 0.0510310i
\(97\) 12.8116 1.30082 0.650410 0.759583i \(-0.274597\pi\)
0.650410 + 0.759583i \(0.274597\pi\)
\(98\) −3.32690 + 5.76236i −0.336068 + 0.582086i
\(99\) 2.22120 + 3.84723i 0.223239 + 0.386661i
\(100\) −0.346604 4.98797i −0.0346604 0.498797i
\(101\) −10.2462 −1.01953 −0.509766 0.860313i \(-0.670268\pi\)
−0.509766 + 0.860313i \(0.670268\pi\)
\(102\) −2.89708 + 1.67263i −0.286854 + 0.165615i
\(103\) −5.94305 −0.585586 −0.292793 0.956176i \(-0.594585\pi\)
−0.292793 + 0.956176i \(0.594585\pi\)
\(104\) −3.09657 + 5.36341i −0.303643 + 0.525926i
\(105\) 5.63633 6.04158i 0.550050 0.589598i
\(106\) −7.70341 4.44757i −0.748221 0.431986i
\(107\) −9.10060 5.25423i −0.879788 0.507946i −0.00919937 0.999958i \(-0.502928\pi\)
−0.870588 + 0.492012i \(0.836262\pi\)
\(108\) 0.866025 + 0.500000i 0.0833333 + 0.0481125i
\(109\) −1.27969 + 0.738832i −0.122573 + 0.0707673i −0.560033 0.828471i \(-0.689211\pi\)
0.437460 + 0.899238i \(0.355878\pi\)
\(110\) −6.77621 + 7.26342i −0.646087 + 0.692540i
\(111\) 1.52530 5.88842i 0.144775 0.558904i
\(112\) 3.69510i 0.349155i
\(113\) 3.19271 + 5.52994i 0.300345 + 0.520213i 0.976214 0.216809i \(-0.0695647\pi\)
−0.675869 + 0.737022i \(0.736231\pi\)
\(114\) 2.82287 4.88936i 0.264386 0.457930i
\(115\) −2.16759 7.09542i −0.202129 0.661651i
\(116\) 0.0938106 + 0.0541616i 0.00871009 + 0.00502877i
\(117\) 6.19314 0.572556
\(118\) −0.292750 0.169019i −0.0269498 0.0155595i
\(119\) 12.3611i 1.13314i
\(120\) −0.503482 + 2.17865i −0.0459614 + 0.198882i
\(121\) 8.73486 0.794078
\(122\) 13.2094i 1.19592i
\(123\) −1.15602 + 0.667426i −0.104234 + 0.0601797i
\(124\) 3.10366 + 1.79190i 0.278717 + 0.160917i
\(125\) −8.68414 7.04171i −0.776734 0.629829i
\(126\) −3.20005 + 1.84755i −0.285084 + 0.164593i
\(127\) −15.2469 + 8.80279i −1.35294 + 0.781122i −0.988661 0.150167i \(-0.952019\pi\)
−0.364282 + 0.931289i \(0.618685\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −1.29605 0.748273i −0.114111 0.0658818i
\(130\) 4.04595 + 13.2441i 0.354853 + 1.16158i
\(131\) −18.6551 + 10.7705i −1.62990 + 0.941025i −0.645783 + 0.763521i \(0.723469\pi\)
−0.984120 + 0.177504i \(0.943198\pi\)
\(132\) 3.84723 2.22120i 0.334858 0.193330i
\(133\) 10.4308 + 18.0667i 0.904466 + 1.56658i
\(134\) 14.7496i 1.27417i
\(135\) 2.13851 0.653296i 0.184053 0.0562268i
\(136\) 1.67263 + 2.89708i 0.143427 + 0.248423i
\(137\) 10.1403i 0.866343i −0.901312 0.433171i \(-0.857394\pi\)
0.901312 0.433171i \(-0.142606\pi\)
\(138\) 3.31793i 0.282441i
\(139\) −3.23928 5.61060i −0.274752 0.475885i 0.695320 0.718700i \(-0.255263\pi\)
−0.970073 + 0.242815i \(0.921929\pi\)
\(140\) −6.04158 5.63633i −0.510607 0.476357i
\(141\) 0.613817 1.06316i 0.0516927 0.0895343i
\(142\) 5.32363 0.446749
\(143\) 13.7562 23.8264i 1.15035 1.99246i
\(144\) 0.500000 0.866025i 0.0416667 0.0721688i
\(145\) 0.231650 0.0707671i 0.0192374 0.00587689i
\(146\) −2.31501 + 1.33657i −0.191592 + 0.110616i
\(147\) 6.65380i 0.548796i
\(148\) −5.88842 1.52530i −0.484025 0.125378i
\(149\) 1.79951 0.147421 0.0737107 0.997280i \(-0.476516\pi\)
0.0737107 + 0.997280i \(0.476516\pi\)
\(150\) 2.79415 + 4.14641i 0.228142 + 0.338553i
\(151\) 5.78284 10.0162i 0.470601 0.815104i −0.528834 0.848725i \(-0.677371\pi\)
0.999435 + 0.0336210i \(0.0107039\pi\)
\(152\) −4.88936 2.82287i −0.396579 0.228965i
\(153\) 1.67263 2.89708i 0.135224 0.234215i
\(154\) 16.4151i 1.32277i
\(155\) 7.66398 2.34128i 0.615586 0.188056i
\(156\) 6.19314i 0.495848i
\(157\) 17.0546 9.84650i 1.36111 0.785836i 0.371337 0.928498i \(-0.378899\pi\)
0.989771 + 0.142662i \(0.0455661\pi\)
\(158\) 5.62837i 0.447769i
\(159\) 8.89513 0.705430
\(160\) 2.17865 + 0.503482i 0.172237 + 0.0398037i
\(161\) −10.6176 6.13005i −0.836781 0.483116i
\(162\) −1.00000 −0.0785674
\(163\) −8.25810 14.3034i −0.646824 1.12033i −0.983877 0.178847i \(-0.942763\pi\)
0.337053 0.941486i \(-0.390570\pi\)
\(164\) 0.667426 + 1.15602i 0.0521172 + 0.0902696i
\(165\) 2.23666 9.67841i 0.174124 0.753463i
\(166\) 5.20372 + 3.00437i 0.403887 + 0.233184i
\(167\) −5.60293 + 9.70456i −0.433568 + 0.750961i −0.997178 0.0750799i \(-0.976079\pi\)
0.563610 + 0.826041i \(0.309412\pi\)
\(168\) 1.84755 + 3.20005i 0.142542 + 0.246890i
\(169\) −12.6775 21.9580i −0.975190 1.68908i
\(170\) 7.28815 + 1.68428i 0.558976 + 0.129178i
\(171\) 5.64574i 0.431741i
\(172\) −0.748273 + 1.29605i −0.0570553 + 0.0988227i
\(173\) −12.4041 + 7.16151i −0.943066 + 0.544480i −0.890920 0.454160i \(-0.849940\pi\)
−0.0521462 + 0.998639i \(0.516606\pi\)
\(174\) −0.108323 −0.00821195
\(175\) −18.4311 + 1.28074i −1.39326 + 0.0968147i
\(176\) −2.22120 3.84723i −0.167429 0.289996i
\(177\) 0.338038 0.0254085
\(178\) −13.9095 8.03066i −1.04256 0.601923i
\(179\) 6.16211i 0.460578i 0.973122 + 0.230289i \(0.0739671\pi\)
−0.973122 + 0.230289i \(0.926033\pi\)
\(180\) −0.653296 2.13851i −0.0486938 0.159395i
\(181\) −1.83239 + 3.17379i −0.136200 + 0.235906i −0.926055 0.377388i \(-0.876822\pi\)
0.789855 + 0.613294i \(0.210156\pi\)
\(182\) 19.8184 + 11.4421i 1.46904 + 0.848148i
\(183\) −6.60469 11.4397i −0.488233 0.845644i
\(184\) 3.31793 0.244601
\(185\) −11.4758 + 7.30109i −0.843718 + 0.536787i
\(186\) −3.58380 −0.262777
\(187\) −7.43049 12.8700i −0.543371 0.941147i
\(188\) −1.06316 0.613817i −0.0775390 0.0447672i
\(189\) 1.84755 3.20005i 0.134390 0.232770i
\(190\) −12.0735 + 3.68834i −0.875900 + 0.267580i
\(191\) 17.0867i 1.23635i −0.786040 0.618176i \(-0.787872\pi\)
0.786040 0.618176i \(-0.212128\pi\)
\(192\) −0.866025 0.500000i −0.0625000 0.0360844i
\(193\) 24.1866 1.74099 0.870495 0.492177i \(-0.163799\pi\)
0.870495 + 0.492177i \(0.163799\pi\)
\(194\) 6.40580 + 11.0952i 0.459910 + 0.796587i
\(195\) −10.1259 9.44671i −0.725132 0.676493i
\(196\) −6.65380 −0.475271
\(197\) 8.50118 4.90816i 0.605684 0.349692i −0.165591 0.986195i \(-0.552953\pi\)
0.771274 + 0.636503i \(0.219620\pi\)
\(198\) −2.22120 + 3.84723i −0.157854 + 0.273410i
\(199\) 22.0251i 1.56132i −0.624958 0.780659i \(-0.714884\pi\)
0.624958 0.780659i \(-0.285116\pi\)
\(200\) 4.14641 2.79415i 0.293195 0.197577i
\(201\) 7.37478 + 12.7735i 0.520177 + 0.900972i
\(202\) −5.12308 8.87344i −0.360459 0.624333i
\(203\) 0.200133 0.346640i 0.0140466 0.0243294i
\(204\) −2.89708 1.67263i −0.202836 0.117108i
\(205\) 2.90817 + 0.672073i 0.203115 + 0.0469396i
\(206\) −2.97152 5.14683i −0.207036 0.358597i
\(207\) −1.65897 2.87341i −0.115306 0.199716i
\(208\) −6.19314 −0.429417
\(209\) 21.7205 + 12.5403i 1.50244 + 0.867431i
\(210\) 8.05033 + 1.86042i 0.555526 + 0.128381i
\(211\) −7.17457 −0.493918 −0.246959 0.969026i \(-0.579431\pi\)
−0.246959 + 0.969026i \(0.579431\pi\)
\(212\) 8.89513i 0.610920i
\(213\) −4.61040 + 2.66182i −0.315899 + 0.182385i
\(214\) 10.5085i 0.718344i
\(215\) 0.977688 + 3.20037i 0.0666777 + 0.218264i
\(216\) 1.00000i 0.0680414i
\(217\) 6.62126 11.4684i 0.449481 0.778523i
\(218\) −1.27969 0.738832i −0.0866719 0.0500400i
\(219\) 1.33657 2.31501i 0.0903173 0.156434i
\(220\) −9.67841 2.23666i −0.652518 0.150796i
\(221\) −20.7177 −1.39362
\(222\) 5.86217 1.62326i 0.393443 0.108946i
\(223\) 0.219842i 0.0147217i 0.999973 + 0.00736087i \(0.00234306\pi\)
−0.999973 + 0.00736087i \(0.997657\pi\)
\(224\) 3.20005 1.84755i 0.213813 0.123445i
\(225\) −4.49301 2.19382i −0.299534 0.146255i
\(226\) −3.19271 + 5.52994i −0.212376 + 0.367846i
\(227\) 12.3956 21.4699i 0.822728 1.42501i −0.0809161 0.996721i \(-0.525785\pi\)
0.903644 0.428285i \(-0.140882\pi\)
\(228\) 5.64574 0.373899
\(229\) −5.65301 + 9.79129i −0.373561 + 0.647027i −0.990111 0.140289i \(-0.955197\pi\)
0.616549 + 0.787316i \(0.288530\pi\)
\(230\) 5.06101 5.42490i 0.333713 0.357707i
\(231\) −8.20755 14.2159i −0.540017 0.935338i
\(232\) 0.108323i 0.00711176i
\(233\) 14.3078i 0.937337i 0.883374 + 0.468669i \(0.155266\pi\)
−0.883374 + 0.468669i \(0.844734\pi\)
\(234\) 3.09657 + 5.36341i 0.202429 + 0.350617i
\(235\) −2.62530 + 0.802008i −0.171256 + 0.0523172i
\(236\) 0.338038i 0.0220044i
\(237\) 2.81418 + 4.87431i 0.182801 + 0.316620i
\(238\) 10.7050 6.18055i 0.693904 0.400626i
\(239\) 5.88745 3.39912i 0.380828 0.219871i −0.297351 0.954768i \(-0.596103\pi\)
0.678178 + 0.734897i \(0.262770\pi\)
\(240\) −2.13851 + 0.653296i −0.138040 + 0.0421701i
\(241\) −4.79812 2.77020i −0.309074 0.178444i 0.337438 0.941348i \(-0.390440\pi\)
−0.646512 + 0.762904i \(0.723773\pi\)
\(242\) 4.36743 + 7.56461i 0.280749 + 0.486272i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) −11.4397 + 6.60469i −0.732350 + 0.422822i
\(245\) −10.1494 + 10.8791i −0.648420 + 0.695041i
\(246\) −1.15602 0.667426i −0.0737048 0.0425535i
\(247\) 30.2805 17.4824i 1.92670 1.11238i
\(248\) 3.58380i 0.227572i
\(249\) −6.00873 −0.380788
\(250\) 1.75622 11.0415i 0.111073 0.698329i
\(251\) 30.0814i 1.89872i 0.314193 + 0.949359i \(0.398266\pi\)
−0.314193 + 0.949359i \(0.601734\pi\)
\(252\) −3.20005 1.84755i −0.201584 0.116385i
\(253\) −14.7396 −0.926668
\(254\) −15.2469 8.80279i −0.956675 0.552336i
\(255\) −7.15387 + 2.18545i −0.447992 + 0.136858i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 11.7565 + 20.3629i 0.733350 + 1.27020i 0.955443 + 0.295174i \(0.0953777\pi\)
−0.222093 + 0.975025i \(0.571289\pi\)
\(258\) 1.49655i 0.0931709i
\(259\) −5.63613 + 21.7583i −0.350212 + 1.35200i
\(260\) −9.44671 + 10.1259i −0.585860 + 0.627983i
\(261\) 0.0938106 0.0541616i 0.00580673 0.00335252i
\(262\) −18.6551 10.7705i −1.15252 0.665405i
\(263\) 23.8858 + 13.7905i 1.47286 + 0.850357i 0.999534 0.0305303i \(-0.00971960\pi\)
0.473327 + 0.880887i \(0.343053\pi\)
\(264\) 3.84723 + 2.22120i 0.236780 + 0.136705i
\(265\) −14.5438 13.5682i −0.893416 0.833488i
\(266\) −10.4308 + 18.0667i −0.639554 + 1.10774i
\(267\) 16.0613 0.982936
\(268\) 12.7735 7.37478i 0.780265 0.450486i
\(269\) −13.5863 −0.828370 −0.414185 0.910193i \(-0.635933\pi\)
−0.414185 + 0.910193i \(0.635933\pi\)
\(270\) 1.63502 + 1.52535i 0.0995044 + 0.0928300i
\(271\) 4.97694 + 8.62031i 0.302327 + 0.523646i 0.976663 0.214779i \(-0.0689031\pi\)
−0.674335 + 0.738425i \(0.735570\pi\)
\(272\) −1.67263 + 2.89708i −0.101418 + 0.175662i
\(273\) −22.8843 −1.38502
\(274\) 8.78174 5.07014i 0.530525 0.306299i
\(275\) −18.4200 + 12.4127i −1.11077 + 0.748516i
\(276\) −2.87341 + 1.65897i −0.172959 + 0.0998580i
\(277\) 13.3467 23.1172i 0.801926 1.38898i −0.116421 0.993200i \(-0.537142\pi\)
0.918347 0.395777i \(-0.129525\pi\)
\(278\) 3.23928 5.61060i 0.194279 0.336502i
\(279\) 3.10366 1.79190i 0.185811 0.107278i
\(280\) 1.86042 8.05033i 0.111181 0.481099i
\(281\) −0.674004 + 0.389137i −0.0402077 + 0.0232139i −0.519969 0.854185i \(-0.674057\pi\)
0.479761 + 0.877399i \(0.340723\pi\)
\(282\) 1.22763 0.0731045
\(283\) −5.81231 + 10.0672i −0.345506 + 0.598434i −0.985446 0.169991i \(-0.945626\pi\)
0.639940 + 0.768425i \(0.278959\pi\)
\(284\) 2.66182 + 4.61040i 0.157950 + 0.273577i
\(285\) 8.61175 9.23092i 0.510116 0.546793i
\(286\) 27.5123 1.62684
\(287\) 4.27160 2.46621i 0.252144 0.145576i
\(288\) 1.00000 0.0589256
\(289\) 2.90460 5.03092i 0.170859 0.295936i
\(290\) 0.177111 + 0.165231i 0.0104003 + 0.00970269i
\(291\) −11.0952 6.40580i −0.650410 0.375515i
\(292\) −2.31501 1.33657i −0.135476 0.0782170i
\(293\) −9.00934 5.20154i −0.526331 0.303877i 0.213190 0.977011i \(-0.431615\pi\)
−0.739521 + 0.673133i \(0.764948\pi\)
\(294\) 5.76236 3.32690i 0.336068 0.194029i
\(295\) −0.552700 0.515627i −0.0321795 0.0300210i
\(296\) −1.62326 5.86217i −0.0943504 0.340732i
\(297\) 4.44239i 0.257774i
\(298\) 0.899754 + 1.55842i 0.0521213 + 0.0902768i
\(299\) −10.2742 + 17.7954i −0.594173 + 1.02914i
\(300\) −2.19382 + 4.49301i −0.126660 + 0.259404i
\(301\) 4.78903 + 2.76495i 0.276035 + 0.159369i
\(302\) 11.5657 0.665530
\(303\) 8.87344 + 5.12308i 0.509766 + 0.294313i
\(304\) 5.64574i 0.323806i
\(305\) −6.65068 + 28.7786i −0.380817 + 1.64786i
\(306\) 3.34526 0.191236
\(307\) 18.4064i 1.05051i −0.850945 0.525254i \(-0.823970\pi\)
0.850945 0.525254i \(-0.176030\pi\)
\(308\) −14.2159 + 8.20755i −0.810026 + 0.467669i
\(309\) 5.14683 + 2.97152i 0.292793 + 0.169044i
\(310\) 5.85960 + 5.46656i 0.332803 + 0.310480i
\(311\) 16.0430 9.26245i 0.909717 0.525225i 0.0293771 0.999568i \(-0.490648\pi\)
0.880340 + 0.474343i \(0.157314\pi\)
\(312\) 5.36341 3.09657i 0.303643 0.175309i
\(313\) 10.9094 + 18.8956i 0.616634 + 1.06804i 0.990095 + 0.140396i \(0.0448376\pi\)
−0.373461 + 0.927646i \(0.621829\pi\)
\(314\) 17.0546 + 9.84650i 0.962449 + 0.555670i
\(315\) −7.90200 + 2.41400i −0.445227 + 0.136013i
\(316\) 4.87431 2.81418i 0.274201 0.158310i
\(317\) 24.1836 13.9624i 1.35829 0.784207i 0.368894 0.929472i \(-0.379737\pi\)
0.989393 + 0.145264i \(0.0464033\pi\)
\(318\) 4.44757 + 7.70341i 0.249407 + 0.431986i
\(319\) 0.481214i 0.0269428i
\(320\) 0.653296 + 2.13851i 0.0365204 + 0.119546i
\(321\) 5.25423 + 9.10060i 0.293263 + 0.507946i
\(322\) 12.2601i 0.683229i
\(323\) 18.8865i 1.05087i
\(324\) −0.500000 0.866025i −0.0277778 0.0481125i
\(325\) 2.14656 + 30.8912i 0.119070 + 1.71353i
\(326\) 8.25810 14.3034i 0.457374 0.792195i
\(327\) 1.47766 0.0817150
\(328\) −0.667426 + 1.15602i −0.0368524 + 0.0638303i
\(329\) −2.26812 + 3.92849i −0.125045 + 0.216585i
\(330\) 9.50008 2.90220i 0.522962 0.159761i
\(331\) 28.7591 16.6041i 1.58074 0.912642i 0.585991 0.810318i \(-0.300706\pi\)
0.994751 0.102324i \(-0.0326278\pi\)
\(332\) 6.00873i 0.329772i
\(333\) −4.26515 + 4.33687i −0.233729 + 0.237659i
\(334\) −11.2059 −0.613157
\(335\) 7.42613 32.1341i 0.405733 1.75567i
\(336\) −1.84755 + 3.20005i −0.100792 + 0.174577i
\(337\) −5.47768 3.16254i −0.298388 0.172275i 0.343330 0.939215i \(-0.388445\pi\)
−0.641719 + 0.766940i \(0.721778\pi\)
\(338\) 12.6775 21.9580i 0.689563 1.19436i
\(339\) 6.38543i 0.346809i
\(340\) 2.18545 + 7.15387i 0.118523 + 0.387973i
\(341\) 15.9207i 0.862152i
\(342\) −4.88936 + 2.82287i −0.264386 + 0.152643i
\(343\) 1.27925i 0.0690733i
\(344\) −1.49655 −0.0806884
\(345\) −1.67052 + 7.22861i −0.0899377 + 0.389175i
\(346\) −12.4041 7.16151i −0.666849 0.385005i
\(347\) −26.7305 −1.43497 −0.717483 0.696576i \(-0.754706\pi\)
−0.717483 + 0.696576i \(0.754706\pi\)
\(348\) −0.0541616 0.0938106i −0.00290336 0.00502877i
\(349\) −9.72032 16.8361i −0.520317 0.901215i −0.999721 0.0236209i \(-0.992481\pi\)
0.479404 0.877594i \(-0.340853\pi\)
\(350\) −10.3247 15.3214i −0.551878 0.818964i
\(351\) −5.36341 3.09657i −0.286278 0.165283i
\(352\) 2.22120 3.84723i 0.118390 0.205058i
\(353\) −2.02075 3.50004i −0.107554 0.186288i 0.807225 0.590244i \(-0.200968\pi\)
−0.914779 + 0.403955i \(0.867635\pi\)
\(354\) 0.169019 + 0.292750i 0.00898326 + 0.0155595i
\(355\) 11.5983 + 2.68035i 0.615575 + 0.142258i
\(356\) 16.0613i 0.851248i
\(357\) −6.18055 + 10.7050i −0.327109 + 0.566570i
\(358\) −5.33654 + 3.08106i −0.282045 + 0.162839i
\(359\) −0.449208 −0.0237083 −0.0118542 0.999930i \(-0.503773\pi\)
−0.0118542 + 0.999930i \(0.503773\pi\)
\(360\) 1.52535 1.63502i 0.0803931 0.0861733i
\(361\) 6.43721 + 11.1496i 0.338801 + 0.586820i
\(362\) −3.66478 −0.192617
\(363\) −7.56461 4.36743i −0.397039 0.229231i
\(364\) 22.8843i 1.19946i
\(365\) −5.71654 + 1.74636i −0.299217 + 0.0914085i
\(366\) 6.60469 11.4397i 0.345233 0.597961i
\(367\) 28.8599 + 16.6623i 1.50647 + 0.869763i 0.999972 + 0.00752386i \(0.00239494\pi\)
0.506502 + 0.862239i \(0.330938\pi\)
\(368\) 1.65897 + 2.87341i 0.0864796 + 0.149787i
\(369\) 1.33485 0.0694896
\(370\) −12.0608 6.28779i −0.627013 0.326887i
\(371\) −32.8684 −1.70644
\(372\) −1.79190 3.10366i −0.0929057 0.160917i
\(373\) 0.921169 + 0.531837i 0.0476963 + 0.0275375i 0.523659 0.851928i \(-0.324567\pi\)
−0.475962 + 0.879466i \(0.657900\pi\)
\(374\) 7.43049 12.8700i 0.384222 0.665491i
\(375\) 3.99984 + 10.4404i 0.206551 + 0.539138i
\(376\) 1.22763i 0.0633103i
\(377\) −0.580982 0.335430i −0.0299221 0.0172755i
\(378\) 3.69510 0.190056
\(379\) −11.9117 20.6317i −0.611863 1.05978i −0.990926 0.134407i \(-0.957087\pi\)
0.379063 0.925371i \(-0.376246\pi\)
\(380\) −9.23092 8.61175i −0.473536 0.441773i
\(381\) 17.6056 0.901962
\(382\) 14.7975 8.54336i 0.757107 0.437116i
\(383\) 12.3247 21.3470i 0.629762 1.09078i −0.357838 0.933784i \(-0.616486\pi\)
0.987599 0.156995i \(-0.0501807\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) −8.26471 + 35.7627i −0.421208 + 1.82264i
\(386\) 12.0933 + 20.9462i 0.615533 + 1.06613i
\(387\) 0.748273 + 1.29605i 0.0380369 + 0.0658818i
\(388\) −6.40580 + 11.0952i −0.325205 + 0.563272i
\(389\) 3.99858 + 2.30858i 0.202736 + 0.117050i 0.597931 0.801548i \(-0.295990\pi\)
−0.395195 + 0.918597i \(0.629323\pi\)
\(390\) 3.11813 13.4927i 0.157893 0.683228i
\(391\) 5.54968 + 9.61233i 0.280659 + 0.486116i
\(392\) −3.32690 5.76236i −0.168034 0.291043i
\(393\) 21.5410 1.08660
\(394\) 8.50118 + 4.90816i 0.428283 + 0.247269i
\(395\) 2.83378 12.2622i 0.142583 0.616980i
\(396\) −4.44239 −0.223239
\(397\) 11.6194i 0.583162i 0.956546 + 0.291581i \(0.0941813\pi\)
−0.956546 + 0.291581i \(0.905819\pi\)
\(398\) 19.0743 11.0125i 0.956108 0.552009i
\(399\) 20.8616i 1.04439i
\(400\) 4.49301 + 2.19382i 0.224651 + 0.109691i
\(401\) 6.31885i 0.315548i 0.987475 + 0.157774i \(0.0504318\pi\)
−0.987475 + 0.157774i \(0.949568\pi\)
\(402\) −7.37478 + 12.7735i −0.367820 + 0.637084i
\(403\) −19.2214 11.0975i −0.957487 0.552805i
\(404\) 5.12308 8.87344i 0.254883 0.441470i
\(405\) −2.17865 0.503482i −0.108258 0.0250182i
\(406\) 0.400265 0.0198648
\(407\) 7.21118 + 26.0421i 0.357445 + 1.29086i
\(408\) 3.34526i 0.165615i
\(409\) −12.2422 + 7.06806i −0.605340 + 0.349493i −0.771139 0.636666i \(-0.780313\pi\)
0.165799 + 0.986159i \(0.446980\pi\)
\(410\) 0.872053 + 2.85459i 0.0430676 + 0.140978i
\(411\) −5.07014 + 8.78174i −0.250092 + 0.433171i
\(412\) 2.97152 5.14683i 0.146396 0.253566i
\(413\) −1.24909 −0.0614635
\(414\) 1.65897 2.87341i 0.0815337 0.141221i
\(415\) 9.82442 + 9.16543i 0.482262 + 0.449913i
\(416\) −3.09657 5.36341i −0.151822 0.262963i
\(417\) 6.47856i 0.317257i
\(418\) 25.0806i 1.22673i
\(419\) −19.8015 34.2972i −0.967366 1.67553i −0.703119 0.711073i \(-0.748210\pi\)
−0.264248 0.964455i \(-0.585124\pi\)
\(420\) 2.41400 + 7.90200i 0.117791 + 0.385578i
\(421\) 7.95090i 0.387503i −0.981051 0.193752i \(-0.937934\pi\)
0.981051 0.193752i \(-0.0620656\pi\)
\(422\) −3.58728 6.21336i −0.174626 0.302462i
\(423\) −1.06316 + 0.613817i −0.0516927 + 0.0298448i
\(424\) 7.70341 4.44757i 0.374111 0.215993i
\(425\) 15.0303 + 7.33890i 0.729077 + 0.355989i
\(426\) −4.61040 2.66182i −0.223375 0.128965i
\(427\) 24.4050 + 42.2708i 1.18104 + 2.04563i
\(428\) 9.10060 5.25423i 0.439894 0.253973i
\(429\) −23.8264 + 13.7562i −1.15035 + 0.664154i
\(430\) −2.28276 + 2.44689i −0.110084 + 0.117999i
\(431\) 9.99522 + 5.77074i 0.481453 + 0.277967i 0.721022 0.692912i \(-0.243673\pi\)
−0.239569 + 0.970879i \(0.577006\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 14.0193i 0.673725i 0.941554 + 0.336862i \(0.109366\pi\)
−0.941554 + 0.336862i \(0.890634\pi\)
\(434\) 13.2425 0.635661
\(435\) −0.235998 0.0545387i −0.0113152 0.00261493i
\(436\) 1.47766i 0.0707673i
\(437\) −16.2226 9.36610i −0.776030 0.448041i
\(438\) 2.67315 0.127728
\(439\) −20.7334 11.9704i −0.989551 0.571317i −0.0844108 0.996431i \(-0.526901\pi\)
−0.905140 + 0.425114i \(0.860234\pi\)
\(440\) −2.90220 9.50008i −0.138357 0.452899i
\(441\) −3.32690 + 5.76236i −0.158424 + 0.274398i
\(442\) −10.3588 17.9420i −0.492720 0.853416i
\(443\) 26.2329i 1.24636i 0.782077 + 0.623182i \(0.214160\pi\)
−0.782077 + 0.623182i \(0.785840\pi\)
\(444\) 4.33687 + 4.26515i 0.205819 + 0.202415i
\(445\) −26.2606 24.4992i −1.24487 1.16137i
\(446\) −0.190389 + 0.109921i −0.00901519 + 0.00520492i
\(447\) −1.55842 0.899754i −0.0737107 0.0425569i
\(448\) 3.20005 + 1.84755i 0.151188 + 0.0872886i
\(449\) 16.5697 + 9.56655i 0.781974 + 0.451473i 0.837130 0.547005i \(-0.184232\pi\)
−0.0551551 + 0.998478i \(0.517565\pi\)
\(450\) −0.346604 4.98797i −0.0163391 0.235135i
\(451\) 2.96497 5.13547i 0.139615 0.241820i
\(452\) −6.38543 −0.300345
\(453\) −10.0162 + 5.78284i −0.470601 + 0.271701i
\(454\) 24.7913 1.16351
\(455\) 37.4163 + 34.9066i 1.75411 + 1.63645i
\(456\) 2.82287 + 4.88936i 0.132193 + 0.228965i
\(457\) −20.5198 + 35.5413i −0.959875 + 1.66255i −0.237081 + 0.971490i \(0.576191\pi\)
−0.722794 + 0.691063i \(0.757143\pi\)
\(458\) −11.3060 −0.528295
\(459\) −2.89708 + 1.67263i −0.135224 + 0.0780718i
\(460\) 7.22861 + 1.67052i 0.337036 + 0.0778883i
\(461\) −9.56724 + 5.52365i −0.445591 + 0.257262i −0.705966 0.708245i \(-0.749487\pi\)
0.260375 + 0.965507i \(0.416154\pi\)
\(462\) 8.20755 14.2159i 0.381850 0.661384i
\(463\) −4.02668 + 6.97442i −0.187136 + 0.324129i −0.944294 0.329103i \(-0.893254\pi\)
0.757158 + 0.653231i \(0.226587\pi\)
\(464\) −0.0938106 + 0.0541616i −0.00435505 + 0.00251439i
\(465\) −7.80784 1.80438i −0.362080 0.0836761i
\(466\) −12.3909 + 7.15391i −0.573999 + 0.331399i
\(467\) −9.63792 −0.445990 −0.222995 0.974820i \(-0.571583\pi\)
−0.222995 + 0.974820i \(0.571583\pi\)
\(468\) −3.09657 + 5.36341i −0.143139 + 0.247924i
\(469\) −27.2506 47.1994i −1.25831 2.17946i
\(470\) −2.00721 1.87257i −0.0925856 0.0863753i
\(471\) −19.6930 −0.907406
\(472\) 0.292750 0.169019i 0.0134749 0.00777973i
\(473\) 6.64825 0.305687
\(474\) −2.81418 + 4.87431i −0.129260 + 0.223884i
\(475\) −28.1608 + 1.95684i −1.29211 + 0.0897858i
\(476\) 10.7050 + 6.18055i 0.490664 + 0.283285i
\(477\) −7.70341 4.44757i −0.352715 0.203640i
\(478\) 5.88745 + 3.39912i 0.269286 + 0.155472i
\(479\) −27.4842 + 15.8680i −1.25578 + 0.725027i −0.972252 0.233936i \(-0.924840\pi\)
−0.283532 + 0.958963i \(0.591506\pi\)
\(480\) −1.63502 1.52535i −0.0746283 0.0696225i
\(481\) 36.4678 + 9.44636i 1.66279 + 0.430717i
\(482\) 5.54039i 0.252358i
\(483\) 6.13005 + 10.6176i 0.278927 + 0.483116i
\(484\) −4.36743 + 7.56461i −0.198520 + 0.343846i
\(485\) 8.36977 + 27.3977i 0.380052 + 1.24406i
\(486\) 0.866025 + 0.500000i 0.0392837 + 0.0226805i
\(487\) −4.48336 −0.203161 −0.101580 0.994827i \(-0.532390\pi\)
−0.101580 + 0.994827i \(0.532390\pi\)
\(488\) −11.4397 6.60469i −0.517849 0.298980i
\(489\) 16.5162i 0.746888i
\(490\) −14.4963 3.35006i −0.654875 0.151341i
\(491\) −8.90853 −0.402037 −0.201018 0.979587i \(-0.564425\pi\)
−0.201018 + 0.979587i \(0.564425\pi\)
\(492\) 1.33485i 0.0601797i
\(493\) −0.313821 + 0.181185i −0.0141338 + 0.00816015i
\(494\) 30.2805 + 17.4824i 1.36238 + 0.786572i
\(495\) −6.77621 + 7.26342i −0.304568 + 0.326466i
\(496\) −3.10366 + 1.79190i −0.139359 + 0.0804587i
\(497\) 17.0359 9.83569i 0.764165 0.441191i
\(498\) −3.00437 5.20372i −0.134629 0.233184i
\(499\) 31.6688 + 18.2840i 1.41769 + 0.818503i 0.996096 0.0882814i \(-0.0281375\pi\)
0.421594 + 0.906785i \(0.361471\pi\)
\(500\) 10.4404 3.99984i 0.466908 0.178878i
\(501\) 9.70456 5.60293i 0.433568 0.250320i
\(502\) −26.0512 + 15.0407i −1.16272 + 0.671298i
\(503\) −4.13426 7.16075i −0.184338 0.319282i 0.759016 0.651073i \(-0.225681\pi\)
−0.943353 + 0.331790i \(0.892347\pi\)
\(504\) 3.69510i 0.164593i
\(505\) −6.69378 21.9115i −0.297869 0.975048i
\(506\) −7.36978 12.7648i −0.327627 0.567466i
\(507\) 25.3549i 1.12605i
\(508\) 17.6056i 0.781122i
\(509\) −18.6383 32.2825i −0.826129 1.43090i −0.901053 0.433709i \(-0.857205\pi\)
0.0749237 0.997189i \(-0.476129\pi\)
\(510\) −5.46959 5.10271i −0.242197 0.225952i
\(511\) −4.93878 + 8.55421i −0.218479 + 0.378416i
\(512\) −1.00000 −0.0441942
\(513\) 2.82287 4.88936i 0.124633 0.215870i
\(514\) −11.7565 + 20.3629i −0.518557 + 0.898167i
\(515\) −3.88257 12.7092i −0.171086 0.560036i
\(516\) 1.29605 0.748273i 0.0570553 0.0329409i
\(517\) 5.45363i 0.239850i
\(518\) −21.6613 + 5.99813i −0.951744 + 0.263543i
\(519\) 14.3230 0.628711
\(520\) −13.4927 3.11813i −0.591692 0.136739i
\(521\) −2.11581 + 3.66469i −0.0926953 + 0.160553i −0.908644 0.417571i \(-0.862882\pi\)
0.815949 + 0.578124i \(0.196215\pi\)
\(522\) 0.0938106 + 0.0541616i 0.00410598 + 0.00237059i
\(523\) 6.66483 11.5438i 0.291433 0.504776i −0.682716 0.730684i \(-0.739201\pi\)
0.974149 + 0.225908i \(0.0725348\pi\)
\(524\) 21.5410i 0.941025i
\(525\) 16.6022 + 8.10639i 0.724577 + 0.353792i
\(526\) 27.5809i 1.20259i
\(527\) −10.3826 + 5.99438i −0.452272 + 0.261119i
\(528\) 4.44239i 0.193330i
\(529\) −11.9913 −0.521362
\(530\) 4.47854 19.3794i 0.194535 0.841786i
\(531\) −0.292750 0.169019i −0.0127043 0.00733480i
\(532\) −20.8616 −0.904466
\(533\) −4.13346 7.15936i −0.179040 0.310106i
\(534\) 8.03066 + 13.9095i 0.347521 + 0.601923i
\(535\) 5.29082 22.8942i 0.228742 0.989804i
\(536\) 12.7735 + 7.37478i 0.551731 + 0.318542i
\(537\) 3.08106 5.33654i 0.132957 0.230289i
\(538\) −6.79314 11.7661i −0.292873 0.507271i
\(539\) 14.7794 + 25.5987i 0.636594 + 1.10261i
\(540\) −0.503482 + 2.17865i −0.0216664 + 0.0937541i
\(541\) 8.60984i 0.370166i 0.982723 + 0.185083i \(0.0592554\pi\)
−0.982723 + 0.185083i \(0.940745\pi\)
\(542\) −4.97694 + 8.62031i −0.213778 + 0.370274i
\(543\) 3.17379 1.83239i 0.136200 0.0786354i
\(544\) −3.34526 −0.143427
\(545\) −2.41602 2.25396i −0.103491 0.0965489i
\(546\) −11.4421 19.8184i −0.489678 0.848148i
\(547\) −16.9211 −0.723496 −0.361748 0.932276i \(-0.617820\pi\)
−0.361748 + 0.932276i \(0.617820\pi\)
\(548\) 8.78174 + 5.07014i 0.375138 + 0.216586i
\(549\) 13.2094i 0.563763i
\(550\) −19.9597 9.74580i −0.851086 0.415563i
\(551\) 0.305782 0.529631i 0.0130268 0.0225630i
\(552\) −2.87341 1.65897i −0.122301 0.0706103i
\(553\) −10.3987 18.0111i −0.442198 0.765909i
\(554\) 26.6934 1.13409
\(555\) 13.5889 0.585029i 0.576816 0.0248331i
\(556\) 6.47856 0.274752
\(557\) −17.5570 30.4096i −0.743914 1.28850i −0.950701 0.310110i \(-0.899634\pi\)
0.206787 0.978386i \(-0.433699\pi\)
\(558\) 3.10366 + 1.79190i 0.131389 + 0.0758572i
\(559\) 4.63416 8.02659i 0.196004 0.339489i
\(560\) 7.90200 2.41400i 0.333920 0.102010i
\(561\) 14.8610i 0.627431i
\(562\) −0.674004 0.389137i −0.0284312 0.0164147i
\(563\) 13.6442 0.575035 0.287518 0.957775i \(-0.407170\pi\)
0.287518 + 0.957775i \(0.407170\pi\)
\(564\) 0.613817 + 1.06316i 0.0258463 + 0.0447672i
\(565\) −9.74003 + 10.4403i −0.409766 + 0.439228i
\(566\) −11.6246 −0.488619
\(567\) −3.20005 + 1.84755i −0.134390 + 0.0775899i
\(568\) −2.66182 + 4.61040i −0.111687 + 0.193448i
\(569\) 32.8741i 1.37815i −0.724689 0.689076i \(-0.758016\pi\)
0.724689 0.689076i \(-0.241984\pi\)
\(570\) 12.3001 + 2.84253i 0.515194 + 0.119060i
\(571\) 15.5801 + 26.9856i 0.652008 + 1.12931i 0.982635 + 0.185550i \(0.0594066\pi\)
−0.330627 + 0.943762i \(0.607260\pi\)
\(572\) 13.7562 + 23.8264i 0.575175 + 0.996232i
\(573\) −8.54336 + 14.7975i −0.356904 + 0.618176i
\(574\) 4.27160 + 2.46621i 0.178293 + 0.102938i
\(575\) 13.7575 9.27081i 0.573728 0.386620i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) 5.44050 + 9.42322i 0.226491 + 0.392294i 0.956766 0.290860i \(-0.0939413\pi\)
−0.730275 + 0.683154i \(0.760608\pi\)
\(578\) 5.80920 0.241631
\(579\) −20.9462 12.0933i −0.870495 0.502581i
\(580\) −0.0545387 + 0.235998i −0.00226460 + 0.00979928i
\(581\) 22.2029 0.921131
\(582\) 12.8116i 0.531058i
\(583\) −34.2216 + 19.7578i −1.41731 + 0.818286i
\(584\) 2.67315i 0.110616i
\(585\) 4.04595 + 13.2441i 0.167279 + 0.547574i
\(586\) 10.4031i 0.429748i
\(587\) −12.4630 + 21.5865i −0.514403 + 0.890971i 0.485458 + 0.874260i \(0.338653\pi\)
−0.999860 + 0.0167112i \(0.994680\pi\)
\(588\) 5.76236 + 3.32690i 0.237636 + 0.137199i
\(589\) 10.1166 17.5225i 0.416848 0.722002i
\(590\) 0.170196 0.736466i 0.00700686 0.0303198i
\(591\) −9.81631 −0.403789
\(592\) 4.26515 4.33687i 0.175297 0.178244i
\(593\) 14.2693i 0.585969i 0.956117 + 0.292984i \(0.0946484\pi\)
−0.956117 + 0.292984i \(0.905352\pi\)
\(594\) 3.84723 2.22120i 0.157854 0.0911368i
\(595\) 26.4343 8.07546i 1.08370 0.331062i
\(596\) −0.899754 + 1.55842i −0.0368554 + 0.0638354i
\(597\) −11.0125 + 19.0743i −0.450714 + 0.780659i
\(598\) −20.5484 −0.840287
\(599\) 10.1315 17.5483i 0.413962 0.717003i −0.581357 0.813648i \(-0.697478\pi\)
0.995319 + 0.0966459i \(0.0308114\pi\)
\(600\) −4.98797 + 0.346604i −0.203633 + 0.0141500i
\(601\) −6.63186 11.4867i −0.270519 0.468553i 0.698476 0.715634i \(-0.253862\pi\)
−0.968995 + 0.247081i \(0.920529\pi\)
\(602\) 5.52989i 0.225382i
\(603\) 14.7496i 0.600648i
\(604\) 5.78284 + 10.0162i 0.235300 + 0.407552i
\(605\) 5.70645 + 18.6795i 0.232000 + 0.759432i
\(606\) 10.2462i 0.416222i
\(607\) 1.63728 + 2.83585i 0.0664552 + 0.115104i 0.897339 0.441343i \(-0.145498\pi\)
−0.830883 + 0.556447i \(0.812164\pi\)
\(608\) 4.88936 2.82287i 0.198290 0.114483i
\(609\) −0.346640 + 0.200133i −0.0140466 + 0.00810978i
\(610\) −28.2483 + 8.62964i −1.14374 + 0.349404i
\(611\) 6.58430 + 3.80145i 0.266372 + 0.153790i
\(612\) 1.67263 + 2.89708i 0.0676122 + 0.117108i
\(613\) −26.8039 + 15.4752i −1.08260 + 0.625039i −0.931597 0.363494i \(-0.881584\pi\)
−0.151003 + 0.988533i \(0.548250\pi\)
\(614\) 15.9404 9.20320i 0.643302 0.371411i
\(615\) −2.18251 2.03612i −0.0880074 0.0821042i
\(616\) −14.2159 8.20755i −0.572775 0.330692i
\(617\) 0.416548 0.240494i 0.0167696 0.00968194i −0.491592 0.870826i \(-0.663585\pi\)
0.508361 + 0.861144i \(0.330251\pi\)
\(618\) 5.94305i 0.239064i
\(619\) −0.362624 −0.0145751 −0.00728754 0.999973i \(-0.502320\pi\)
−0.00728754 + 0.999973i \(0.502320\pi\)
\(620\) −1.80438 + 7.80784i −0.0724656 + 0.313571i
\(621\) 3.31793i 0.133144i
\(622\) 16.0430 + 9.26245i 0.643267 + 0.371391i
\(623\) −59.3482 −2.37774
\(624\) 5.36341 + 3.09657i 0.214708 + 0.123962i
\(625\) 9.38541 23.1714i 0.375416 0.926856i
\(626\) −10.9094 + 18.8956i −0.436026 + 0.755220i
\(627\) −12.5403 21.7205i −0.500812 0.867431i
\(628\) 19.6930i 0.785836i
\(629\) 14.2681 14.5080i 0.568905 0.578471i
\(630\) −6.04158 5.63633i −0.240702 0.224557i
\(631\) −16.6855 + 9.63338i −0.664239 + 0.383499i −0.793890 0.608061i \(-0.791948\pi\)
0.129651 + 0.991560i \(0.458614\pi\)
\(632\) 4.87431 + 2.81418i 0.193890 + 0.111942i
\(633\) 6.21336 + 3.58728i 0.246959 + 0.142582i
\(634\) 24.1836 + 13.9624i 0.960454 + 0.554518i
\(635\) −28.7856 26.8547i −1.14232 1.06570i
\(636\) −4.44757 + 7.70341i −0.176357 + 0.305460i
\(637\) 41.2079 1.63272
\(638\) 0.416744 0.240607i 0.0164990 0.00952572i
\(639\) 5.32363 0.210600
\(640\) −1.52535 + 1.63502i −0.0602948 + 0.0646300i
\(641\) −6.93767 12.0164i −0.274021 0.474619i 0.695866 0.718171i \(-0.255021\pi\)
−0.969888 + 0.243552i \(0.921687\pi\)
\(642\) −5.25423 + 9.10060i −0.207368 + 0.359172i
\(643\) −32.7410 −1.29118 −0.645589 0.763685i \(-0.723388\pi\)
−0.645589 + 0.763685i \(0.723388\pi\)
\(644\) 10.6176 6.13005i 0.418391 0.241558i
\(645\) 0.753483 3.26045i 0.0296684 0.128380i
\(646\) 16.3562 9.44325i 0.643526 0.371540i
\(647\) 10.0075 17.3335i 0.393435 0.681449i −0.599465 0.800401i \(-0.704620\pi\)
0.992900 + 0.118952i \(0.0379533\pi\)
\(648\) 0.500000 0.866025i 0.0196419 0.0340207i
\(649\) −1.30051 + 0.750849i −0.0510495 + 0.0294734i
\(650\) −25.6793 + 17.3046i −1.00722 + 0.678741i
\(651\) −11.4684 + 6.62126i −0.449481 + 0.259508i
\(652\) 16.5162 0.646824
\(653\) 12.6958 21.9898i 0.496825 0.860526i −0.503168 0.864188i \(-0.667832\pi\)
0.999993 + 0.00366254i \(0.00116582\pi\)
\(654\) 0.738832 + 1.27969i 0.0288906 + 0.0500400i
\(655\) −35.2201 32.8577i −1.37616 1.28386i
\(656\) −1.33485 −0.0521172
\(657\) −2.31501 + 1.33657i −0.0903173 + 0.0521447i
\(658\) −4.53623 −0.176841
\(659\) 10.2268 17.7134i 0.398381 0.690016i −0.595145 0.803618i \(-0.702906\pi\)
0.993526 + 0.113602i \(0.0362388\pi\)
\(660\) 7.26342 + 6.77621i 0.282728 + 0.263764i
\(661\) 0.419280 + 0.242071i 0.0163081 + 0.00941548i 0.508132 0.861279i \(-0.330336\pi\)
−0.491824 + 0.870695i \(0.663670\pi\)
\(662\) 28.7591 + 16.6041i 1.11775 + 0.645335i
\(663\) 17.9420 + 10.3588i 0.696811 + 0.402304i
\(664\) −5.20372 + 3.00437i −0.201943 + 0.116592i
\(665\) −31.8213 + 34.1092i −1.23398 + 1.32270i
\(666\) −5.88842 1.52530i −0.228172 0.0591040i
\(667\) 0.359409i 0.0139164i
\(668\) −5.60293 9.70456i −0.216784 0.375481i
\(669\) 0.109921 0.190389i 0.00424980 0.00736087i
\(670\) 31.5420 9.63583i 1.21857 0.372264i
\(671\) 50.8195 + 29.3407i 1.96187 + 1.13268i
\(672\) −3.69510 −0.142542
\(673\) −35.6479 20.5813i −1.37413 0.793352i −0.382681 0.923880i \(-0.624999\pi\)
−0.991445 + 0.130529i \(0.958333\pi\)
\(674\) 6.32508i 0.243633i
\(675\) 2.79415 + 4.14641i 0.107547 + 0.159595i
\(676\) 25.3549 0.975190
\(677\) 15.4030i 0.591984i −0.955190 0.295992i \(-0.904350\pi\)
0.955190 0.295992i \(-0.0956501\pi\)
\(678\) 5.52994 3.19271i 0.212376 0.122615i
\(679\) 40.9978 + 23.6701i 1.57335 + 0.908375i
\(680\) −5.10271 + 5.46959i −0.195680 + 0.209749i
\(681\) −21.4699 + 12.3956i −0.822728 + 0.475002i
\(682\) 13.7877 7.96033i 0.527958 0.304817i
\(683\) 7.89432 + 13.6734i 0.302068 + 0.523197i 0.976604 0.215045i \(-0.0689897\pi\)
−0.674536 + 0.738242i \(0.735656\pi\)
\(684\) −4.88936 2.82287i −0.186949 0.107935i
\(685\) 21.6851 6.62461i 0.828543 0.253113i
\(686\) 1.10787 0.639627i 0.0422986 0.0244211i
\(687\) 9.79129 5.65301i 0.373561 0.215676i
\(688\) −0.748273 1.29605i −0.0285276 0.0494113i
\(689\) 55.0888i 2.09871i
\(690\) −7.09542 + 2.16759i −0.270118 + 0.0825188i
\(691\) 13.8305 + 23.9551i 0.526137 + 0.911297i 0.999536 + 0.0304486i \(0.00969358\pi\)
−0.473399 + 0.880848i \(0.656973\pi\)
\(692\) 14.3230i 0.544480i
\(693\) 16.4151i 0.623558i
\(694\) −13.3652 23.1493i −0.507337 0.878734i
\(695\) 9.88209 10.5926i 0.374849 0.401800i
\(696\) 0.0541616 0.0938106i 0.00205299 0.00355588i
\(697\) −4.46543 −0.169140
\(698\) 9.72032 16.8361i 0.367920 0.637255i
\(699\) 7.15391 12.3909i 0.270586 0.468669i
\(700\) 8.10639 16.6022i 0.306393 0.627502i
\(701\) −10.6850 + 6.16897i −0.403566 + 0.232999i −0.688021 0.725690i \(-0.741521\pi\)
0.284456 + 0.958689i \(0.408187\pi\)
\(702\) 6.19314i 0.233745i
\(703\) −8.61143 + 33.2445i −0.324786 + 1.25384i
\(704\) 4.44239 0.167429
\(705\) 2.67458 + 0.618091i 0.100731 + 0.0232786i
\(706\) 2.02075 3.50004i 0.0760519 0.131726i
\(707\) −32.7883 18.9303i −1.23313 0.711948i
\(708\) −0.169019 + 0.292750i −0.00635213 + 0.0110022i
\(709\) 40.5310i 1.52217i 0.648651 + 0.761086i \(0.275334\pi\)
−0.648651 + 0.761086i \(0.724666\pi\)
\(710\) 3.47791 + 11.3846i 0.130524 + 0.427257i
\(711\) 5.62837i 0.211080i
\(712\) 13.9095 8.03066i 0.521281 0.300962i
\(713\) 11.8908i 0.445314i
\(714\) −12.3611 −0.462603
\(715\) 59.9397 + 13.8520i 2.24162 + 0.518034i
\(716\) −5.33654 3.08106i −0.199436 0.115144i
\(717\) −6.79825 −0.253885
\(718\) −0.224604 0.389026i −0.00838216 0.0145183i
\(719\) −2.47337 4.28400i −0.0922412 0.159766i 0.816213 0.577752i \(-0.196070\pi\)
−0.908454 + 0.417985i \(0.862736\pi\)
\(720\) 2.17865 + 0.503482i 0.0811934 + 0.0187637i
\(721\) −19.0181 10.9801i −0.708270 0.408920i
\(722\) −6.43721 + 11.1496i −0.239568 + 0.414944i
\(723\) 2.77020 + 4.79812i 0.103025 + 0.178444i
\(724\) −1.83239 3.17379i −0.0681002 0.117953i
\(725\) 0.302671 + 0.449152i 0.0112409 + 0.0166811i
\(726\) 8.73486i 0.324181i
\(727\) −17.2930 + 29.9524i −0.641363 + 1.11087i 0.343766 + 0.939055i \(0.388297\pi\)
−0.985129 + 0.171817i \(0.945036\pi\)
\(728\) −19.8184 + 11.4421i −0.734518 + 0.424074i
\(729\) −1.00000 −0.0370370
\(730\) −4.37066 4.07749i −0.161765 0.150915i
\(731\) −2.50317 4.33562i −0.0925831 0.160359i
\(732\) 13.2094 0.488233
\(733\) 34.9113 + 20.1561i 1.28948 + 0.744481i 0.978561 0.205956i \(-0.0660304\pi\)
0.310917 + 0.950437i \(0.399364\pi\)
\(734\) 33.3245i 1.23003i
\(735\) 14.2292 4.34690i 0.524851 0.160338i
\(736\) −1.65897 + 2.87341i −0.0611503 + 0.105915i
\(737\) −56.7449 32.7617i −2.09022 1.20679i
\(738\) 0.667426 + 1.15602i 0.0245683 + 0.0425535i
\(739\) −15.1392 −0.556904 −0.278452 0.960450i \(-0.589821\pi\)
−0.278452 + 0.960450i \(0.589821\pi\)
\(740\) −0.585029 13.5889i −0.0215061 0.499537i
\(741\) −34.9649 −1.28447
\(742\) −16.4342 28.4649i −0.603319 1.04498i
\(743\) 13.4411 + 7.76020i 0.493105 + 0.284694i 0.725862 0.687841i \(-0.241441\pi\)
−0.232757 + 0.972535i \(0.574775\pi\)
\(744\) 1.79190 3.10366i 0.0656943 0.113786i
\(745\) 1.17561 + 3.84826i 0.0430711 + 0.140989i
\(746\) 1.06367i 0.0389439i
\(747\) 5.20372 + 3.00437i 0.190394 + 0.109924i
\(748\) 14.8610 0.543371
\(749\) −19.4149 33.6277i −0.709406 1.22873i
\(750\) −7.04171 + 8.68414i −0.257127 + 0.317100i
\(751\) 17.8620 0.651793 0.325896 0.945406i \(-0.394334\pi\)
0.325896 + 0.945406i \(0.394334\pi\)
\(752\) 1.06316 0.613817i 0.0387695 0.0223836i
\(753\) 15.0407 26.0512i 0.548113 0.949359i
\(754\) 0.670860i 0.0244313i
\(755\) 25.1975 + 5.82311i 0.917032 + 0.211925i
\(756\) 1.84755 + 3.20005i 0.0671948 + 0.116385i
\(757\) 5.03804 + 8.72614i 0.183111 + 0.317157i 0.942938 0.332968i \(-0.108050\pi\)
−0.759828 + 0.650125i \(0.774717\pi\)
\(758\) 11.9117 20.6317i 0.432652 0.749376i
\(759\) 12.7648 + 7.36978i 0.463334 + 0.267506i
\(760\) 2.84253 12.3001i 0.103109 0.446171i
\(761\) 14.5679 + 25.2324i 0.528086 + 0.914672i 0.999464 + 0.0327408i \(0.0104236\pi\)
−0.471378 + 0.881931i \(0.656243\pi\)
\(762\) 8.80279 + 15.2469i 0.318892 + 0.552336i
\(763\) −5.46012 −0.197670
\(764\) 14.7975 + 8.54336i 0.535356 + 0.309088i
\(765\) 7.28815 + 1.68428i 0.263504 + 0.0608952i
\(766\) 24.6494 0.890617
\(767\) 2.09352i 0.0755925i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) 48.5732i 1.75160i 0.482678 + 0.875798i \(0.339664\pi\)
−0.482678 + 0.875798i \(0.660336\pi\)
\(770\) −35.1038 + 10.7239i −1.26505 + 0.386463i
\(771\) 23.5130i 0.846800i
\(772\) −12.0933 + 20.9462i −0.435248 + 0.753871i
\(773\) −24.3124 14.0368i −0.874458 0.504868i −0.00563072 0.999984i \(-0.501792\pi\)
−0.868827 + 0.495116i \(0.835126\pi\)
\(774\) −0.748273 + 1.29605i −0.0268961 + 0.0465854i
\(775\) 10.0137 + 14.8599i 0.359703 + 0.533784i
\(776\) −12.8116 −0.459910