Properties

Label 1110.2.ba.a.619.4
Level $1110$
Weight $2$
Character 1110.619
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 619.4
Character \(\chi\) \(=\) 1110.619
Dual form 1110.2.ba.a.529.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(2.18544 - 0.473136i) q^{5} -1.00000i q^{6} +(0.827955 - 0.478020i) q^{7} +1.00000 q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(2.18544 - 0.473136i) q^{5} -1.00000i q^{6} +(0.827955 - 0.478020i) q^{7} +1.00000 q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.682971 + 2.12921i) q^{10} +0.252998 q^{11} +(0.866025 + 0.500000i) q^{12} +(-0.858827 - 1.48753i) q^{13} +0.956040i q^{14} +(-1.65608 + 1.50247i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.88164 + 4.99114i) q^{17} +(0.500000 + 0.866025i) q^{18} +(3.89488 - 2.24871i) q^{19} +(-1.50247 - 1.65608i) q^{20} +(-0.478020 + 0.827955i) q^{21} +(-0.126499 + 0.219103i) q^{22} +4.71996 q^{23} +(-0.866025 + 0.500000i) q^{24} +(4.55228 - 2.06802i) q^{25} +1.71765 q^{26} +1.00000i q^{27} +(-0.827955 - 0.478020i) q^{28} -6.74876i q^{29} +(-0.473136 - 2.18544i) q^{30} +0.279008i q^{31} +(-0.500000 - 0.866025i) q^{32} +(-0.219103 + 0.126499i) q^{33} +(-2.88164 - 4.99114i) q^{34} +(1.58328 - 1.43642i) q^{35} -1.00000 q^{36} +(3.20888 - 5.16750i) q^{37} +4.49741i q^{38} +(1.48753 + 0.858827i) q^{39} +(2.18544 - 0.473136i) q^{40} +(-2.96243 - 5.13107i) q^{41} +(-0.478020 - 0.827955i) q^{42} -1.27403 q^{43} +(-0.126499 - 0.219103i) q^{44} +(0.682971 - 2.12921i) q^{45} +(-2.35998 + 4.08761i) q^{46} -6.17905i q^{47} -1.00000i q^{48} +(-3.04299 + 5.27062i) q^{49} +(-0.485183 + 4.97640i) q^{50} -5.76327i q^{51} +(-0.858827 + 1.48753i) q^{52} +(7.10229 + 4.10051i) q^{53} +(-0.866025 - 0.500000i) q^{54} +(0.552912 - 0.119703i) q^{55} +(0.827955 - 0.478020i) q^{56} +(-2.24871 + 3.89488i) q^{57} +(5.84460 + 3.37438i) q^{58} +(13.0282 + 7.52184i) q^{59} +(2.12921 + 0.682971i) q^{60} +(3.43889 - 1.98545i) q^{61} +(-0.241628 - 0.139504i) q^{62} -0.956040i q^{63} +1.00000 q^{64} +(-2.58072 - 2.84457i) q^{65} -0.252998i q^{66} +(0.518394 - 0.299295i) q^{67} +5.76327 q^{68} +(-4.08761 + 2.35998i) q^{69} +(0.452337 + 2.08937i) q^{70} +(6.17507 + 10.6955i) q^{71} +(0.500000 - 0.866025i) q^{72} -10.7356i q^{73} +(2.87075 + 5.36272i) q^{74} +(-2.90838 + 4.06710i) q^{75} +(-3.89488 - 2.24871i) q^{76} +(0.209471 - 0.120938i) q^{77} +(-1.48753 + 0.858827i) q^{78} +(-2.20916 + 1.27546i) q^{79} +(-0.682971 + 2.12921i) q^{80} +(-0.500000 - 0.866025i) q^{81} +5.92485 q^{82} +(12.5267 + 7.23229i) q^{83} +0.956040 q^{84} +(-3.93615 + 12.2712i) q^{85} +(0.637017 - 1.10335i) q^{86} +(3.37438 + 5.84460i) q^{87} +0.252998 q^{88} +(6.84497 + 3.95194i) q^{89} +(1.50247 + 1.65608i) q^{90} +(-1.42214 - 0.821073i) q^{91} +(-2.35998 - 4.08761i) q^{92} +(-0.139504 - 0.241628i) q^{93} +(5.35121 + 3.08952i) q^{94} +(7.44807 - 6.75722i) q^{95} +(0.866025 + 0.500000i) q^{96} -17.8296 q^{97} +(-3.04299 - 5.27062i) q^{98} +(0.126499 - 0.219103i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} - 14q^{13} - 2q^{15} - 18q^{16} + 18q^{18} + 6q^{19} - 4q^{20} - 2q^{22} - 20q^{23} + 4q^{25} + 28q^{26} - 2q^{30} - 18q^{32} - 6q^{33} - 40q^{35} - 36q^{36} + 20q^{37} + 6q^{39} + 2q^{40} + 10q^{41} - 2q^{44} - 2q^{45} + 10q^{46} + 10q^{49} - 2q^{50} - 14q^{52} - 12q^{53} + 56q^{55} + 8q^{57} + 30q^{58} + 18q^{59} + 4q^{60} - 6q^{61} - 12q^{62} + 36q^{64} + 40q^{65} + 36q^{67} + 12q^{69} + 20q^{70} - 24q^{71} + 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} - 24q^{77} - 6q^{78} + 2q^{80} - 18q^{81} - 20q^{82} + 36q^{83} + 26q^{85} - 10q^{87} + 4q^{88} + 4q^{90} - 36q^{91} + 10q^{92} + 12q^{93} + 12q^{94} - 30q^{95} + 52q^{97} + 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

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

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

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
\(5\) 2.18544 0.473136i 0.977358 0.211593i
\(6\) 1.00000i 0.408248i
\(7\) 0.827955 0.478020i 0.312937 0.180675i −0.335303 0.942110i \(-0.608839\pi\)
0.648240 + 0.761436i \(0.275505\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −0.682971 + 2.12921i −0.215974 + 0.673316i
\(11\) 0.252998 0.0762818 0.0381409 0.999272i \(-0.487856\pi\)
0.0381409 + 0.999272i \(0.487856\pi\)
\(12\) 0.866025 + 0.500000i 0.250000 + 0.144338i
\(13\) −0.858827 1.48753i −0.238196 0.412567i 0.722001 0.691892i \(-0.243223\pi\)
−0.960197 + 0.279325i \(0.909889\pi\)
\(14\) 0.956040i 0.255512i
\(15\) −1.65608 + 1.50247i −0.427597 + 0.387935i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.88164 + 4.99114i −0.698900 + 1.21053i 0.269949 + 0.962875i \(0.412993\pi\)
−0.968848 + 0.247655i \(0.920340\pi\)
\(18\) 0.500000 + 0.866025i 0.117851 + 0.204124i
\(19\) 3.89488 2.24871i 0.893546 0.515889i 0.0184451 0.999830i \(-0.494128\pi\)
0.875101 + 0.483941i \(0.160795\pi\)
\(20\) −1.50247 1.65608i −0.335962 0.370310i
\(21\) −0.478020 + 0.827955i −0.104312 + 0.180675i
\(22\) −0.126499 + 0.219103i −0.0269697 + 0.0467129i
\(23\) 4.71996 0.984180 0.492090 0.870544i \(-0.336233\pi\)
0.492090 + 0.870544i \(0.336233\pi\)
\(24\) −0.866025 + 0.500000i −0.176777 + 0.102062i
\(25\) 4.55228 2.06802i 0.910457 0.413604i
\(26\) 1.71765 0.336860
\(27\) 1.00000i 0.192450i
\(28\) −0.827955 0.478020i −0.156469 0.0903373i
\(29\) 6.74876i 1.25321i −0.779336 0.626606i \(-0.784443\pi\)
0.779336 0.626606i \(-0.215557\pi\)
\(30\) −0.473136 2.18544i −0.0863825 0.399005i
\(31\) 0.279008i 0.0501114i 0.999686 + 0.0250557i \(0.00797630\pi\)
−0.999686 + 0.0250557i \(0.992024\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −0.219103 + 0.126499i −0.0381409 + 0.0220207i
\(34\) −2.88164 4.99114i −0.494197 0.855974i
\(35\) 1.58328 1.43642i 0.267622 0.242799i
\(36\) −1.00000 −0.166667
\(37\) 3.20888 5.16750i 0.527536 0.849532i
\(38\) 4.49741i 0.729577i
\(39\) 1.48753 + 0.858827i 0.238196 + 0.137522i
\(40\) 2.18544 0.473136i 0.345548 0.0748094i
\(41\) −2.96243 5.13107i −0.462653 0.801339i 0.536439 0.843939i \(-0.319769\pi\)
−0.999092 + 0.0426000i \(0.986436\pi\)
\(42\) −0.478020 0.827955i −0.0737601 0.127756i
\(43\) −1.27403 −0.194288 −0.0971442 0.995270i \(-0.530971\pi\)
−0.0971442 + 0.995270i \(0.530971\pi\)
\(44\) −0.126499 0.219103i −0.0190705 0.0330310i
\(45\) 0.682971 2.12921i 0.101811 0.317404i
\(46\) −2.35998 + 4.08761i −0.347960 + 0.602685i
\(47\) 6.17905i 0.901307i −0.892699 0.450654i \(-0.851191\pi\)
0.892699 0.450654i \(-0.148809\pi\)
\(48\) 1.00000i 0.144338i
\(49\) −3.04299 + 5.27062i −0.434713 + 0.752946i
\(50\) −0.485183 + 4.97640i −0.0686152 + 0.703770i
\(51\) 5.76327i 0.807020i
\(52\) −0.858827 + 1.48753i −0.119098 + 0.206284i
\(53\) 7.10229 + 4.10051i 0.975575 + 0.563248i 0.900931 0.433962i \(-0.142885\pi\)
0.0746437 + 0.997210i \(0.476218\pi\)
\(54\) −0.866025 0.500000i −0.117851 0.0680414i
\(55\) 0.552912 0.119703i 0.0745547 0.0161407i
\(56\) 0.827955 0.478020i 0.110640 0.0638781i
\(57\) −2.24871 + 3.89488i −0.297849 + 0.515889i
\(58\) 5.84460 + 3.37438i 0.767433 + 0.443078i
\(59\) 13.0282 + 7.52184i 1.69613 + 0.979260i 0.949368 + 0.314165i \(0.101725\pi\)
0.746759 + 0.665094i \(0.231609\pi\)
\(60\) 2.12921 + 0.682971i 0.274880 + 0.0881712i
\(61\) 3.43889 1.98545i 0.440305 0.254210i −0.263422 0.964681i \(-0.584851\pi\)
0.703727 + 0.710470i \(0.251518\pi\)
\(62\) −0.241628 0.139504i −0.0306868 0.0177170i
\(63\) 0.956040i 0.120450i
\(64\) 1.00000 0.125000
\(65\) −2.58072 2.84457i −0.320099 0.352825i
\(66\) 0.252998i 0.0311419i
\(67\) 0.518394 0.299295i 0.0633319 0.0365647i −0.468000 0.883729i \(-0.655025\pi\)
0.531332 + 0.847164i \(0.321692\pi\)
\(68\) 5.76327 0.698900
\(69\) −4.08761 + 2.35998i −0.492090 + 0.284108i
\(70\) 0.452337 + 2.08937i 0.0540646 + 0.249727i
\(71\) 6.17507 + 10.6955i 0.732846 + 1.26933i 0.955662 + 0.294466i \(0.0951417\pi\)
−0.222816 + 0.974861i \(0.571525\pi\)
\(72\) 0.500000 0.866025i 0.0589256 0.102062i
\(73\) 10.7356i 1.25650i −0.778011 0.628251i \(-0.783771\pi\)
0.778011 0.628251i \(-0.216229\pi\)
\(74\) 2.87075 + 5.36272i 0.333718 + 0.623404i
\(75\) −2.90838 + 4.06710i −0.335831 + 0.469628i
\(76\) −3.89488 2.24871i −0.446773 0.257944i
\(77\) 0.209471 0.120938i 0.0238714 0.0137822i
\(78\) −1.48753 + 0.858827i −0.168430 + 0.0972430i
\(79\) −2.20916 + 1.27546i −0.248550 + 0.143500i −0.619100 0.785312i \(-0.712503\pi\)
0.370550 + 0.928813i \(0.379169\pi\)
\(80\) −0.682971 + 2.12921i −0.0763585 + 0.238053i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 5.92485 0.654291
\(83\) 12.5267 + 7.23229i 1.37498 + 0.793847i 0.991550 0.129722i \(-0.0414084\pi\)
0.383433 + 0.923569i \(0.374742\pi\)
\(84\) 0.956040 0.104312
\(85\) −3.93615 + 12.2712i −0.426935 + 1.33100i
\(86\) 0.637017 1.10335i 0.0686913 0.118977i
\(87\) 3.37438 + 5.84460i 0.361771 + 0.626606i
\(88\) 0.252998 0.0269697
\(89\) 6.84497 + 3.95194i 0.725565 + 0.418905i 0.816798 0.576924i \(-0.195747\pi\)
−0.0912324 + 0.995830i \(0.529081\pi\)
\(90\) 1.50247 + 1.65608i 0.158374 + 0.174566i
\(91\) −1.42214 0.821073i −0.149081 0.0860718i
\(92\) −2.35998 4.08761i −0.246045 0.426163i
\(93\) −0.139504 0.241628i −0.0144659 0.0250557i
\(94\) 5.35121 + 3.08952i 0.551936 + 0.318660i
\(95\) 7.44807 6.75722i 0.764155 0.693276i
\(96\) 0.866025 + 0.500000i 0.0883883 + 0.0510310i
\(97\) −17.8296 −1.81032 −0.905158 0.425075i \(-0.860248\pi\)
−0.905158 + 0.425075i \(0.860248\pi\)
\(98\) −3.04299 5.27062i −0.307389 0.532413i
\(99\) 0.126499 0.219103i 0.0127136 0.0220207i
\(100\) −4.06710 2.90838i −0.406710 0.290838i
\(101\) 13.2413 1.31756 0.658781 0.752335i \(-0.271072\pi\)
0.658781 + 0.752335i \(0.271072\pi\)
\(102\) 4.99114 + 2.88164i 0.494197 + 0.285325i
\(103\) 10.6557 1.04993 0.524966 0.851123i \(-0.324078\pi\)
0.524966 + 0.851123i \(0.324078\pi\)
\(104\) −0.858827 1.48753i −0.0842149 0.145865i
\(105\) −0.652947 + 2.03561i −0.0637211 + 0.198655i
\(106\) −7.10229 + 4.10051i −0.689836 + 0.398277i
\(107\) −13.0826 + 7.55326i −1.26475 + 0.730201i −0.973989 0.226596i \(-0.927240\pi\)
−0.290757 + 0.956797i \(0.593907\pi\)
\(108\) 0.866025 0.500000i 0.0833333 0.0481125i
\(109\) −10.6230 6.13320i −1.01750 0.587454i −0.104121 0.994565i \(-0.533203\pi\)
−0.913379 + 0.407111i \(0.866536\pi\)
\(110\) −0.172790 + 0.538687i −0.0164749 + 0.0513618i
\(111\) −0.195218 + 6.07963i −0.0185293 + 0.577053i
\(112\) 0.956040i 0.0903373i
\(113\) 1.13408 1.96429i 0.106685 0.184785i −0.807740 0.589539i \(-0.799310\pi\)
0.914426 + 0.404754i \(0.132643\pi\)
\(114\) −2.24871 3.89488i −0.210611 0.364789i
\(115\) 10.3152 2.23319i 0.961896 0.208246i
\(116\) −5.84460 + 3.37438i −0.542657 + 0.313303i
\(117\) −1.71765 −0.158797
\(118\) −13.0282 + 7.52184i −1.19934 + 0.692441i
\(119\) 5.50992i 0.505093i
\(120\) −1.65608 + 1.50247i −0.151178 + 0.137156i
\(121\) −10.9360 −0.994181
\(122\) 3.97089i 0.359508i
\(123\) 5.13107 + 2.96243i 0.462653 + 0.267113i
\(124\) 0.241628 0.139504i 0.0216989 0.0125278i
\(125\) 8.97028 6.67339i 0.802326 0.596886i
\(126\) 0.827955 + 0.478020i 0.0737601 + 0.0425854i
\(127\) −2.12642 1.22769i −0.188690 0.108940i 0.402679 0.915341i \(-0.368079\pi\)
−0.591369 + 0.806401i \(0.701412\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 1.10335 0.637017i 0.0971442 0.0560862i
\(130\) 3.75383 0.812685i 0.329232 0.0712772i
\(131\) 15.2442 + 8.80126i 1.33189 + 0.768969i 0.985590 0.169153i \(-0.0541032\pi\)
0.346304 + 0.938122i \(0.387436\pi\)
\(132\) 0.219103 + 0.126499i 0.0190705 + 0.0110103i
\(133\) 2.14985 3.72366i 0.186416 0.322882i
\(134\) 0.598590i 0.0517103i
\(135\) 0.473136 + 2.18544i 0.0407211 + 0.188093i
\(136\) −2.88164 + 4.99114i −0.247098 + 0.427987i
\(137\) 1.17190i 0.100123i 0.998746 + 0.0500613i \(0.0159417\pi\)
−0.998746 + 0.0500613i \(0.984058\pi\)
\(138\) 4.71996i 0.401790i
\(139\) 1.65873 2.87300i 0.140691 0.243684i −0.787066 0.616869i \(-0.788401\pi\)
0.927757 + 0.373185i \(0.121734\pi\)
\(140\) −2.03561 0.652947i −0.172041 0.0551841i
\(141\) 3.08952 + 5.35121i 0.260185 + 0.450654i
\(142\) −12.3501 −1.03640
\(143\) −0.217282 0.376343i −0.0181700 0.0314714i
\(144\) 0.500000 + 0.866025i 0.0416667 + 0.0721688i
\(145\) −3.19308 14.7490i −0.265171 1.22484i
\(146\) 9.29726 + 5.36778i 0.769447 + 0.444240i
\(147\) 6.08599i 0.501964i
\(148\) −6.07963 0.195218i −0.499742 0.0160468i
\(149\) −5.82788 −0.477439 −0.238719 0.971089i \(-0.576728\pi\)
−0.238719 + 0.971089i \(0.576728\pi\)
\(150\) −2.06802 4.55228i −0.168853 0.371692i
\(151\) 9.73722 + 16.8654i 0.792404 + 1.37248i 0.924475 + 0.381244i \(0.124504\pi\)
−0.132071 + 0.991240i \(0.542163\pi\)
\(152\) 3.89488 2.24871i 0.315916 0.182394i
\(153\) 2.88164 + 4.99114i 0.232967 + 0.403510i
\(154\) 0.241876i 0.0194910i
\(155\) 0.132009 + 0.609755i 0.0106032 + 0.0489767i
\(156\) 1.71765i 0.137522i
\(157\) −1.24648 0.719657i −0.0994801 0.0574348i 0.449435 0.893313i \(-0.351625\pi\)
−0.548915 + 0.835878i \(0.684959\pi\)
\(158\) 2.55092i 0.202940i
\(159\) −8.20102 −0.650383
\(160\) −1.50247 1.65608i −0.118780 0.130924i
\(161\) 3.90791 2.25624i 0.307987 0.177816i
\(162\) 1.00000 0.0785674
\(163\) −4.06999 + 7.04943i −0.318786 + 0.552154i −0.980235 0.197836i \(-0.936609\pi\)
0.661449 + 0.749990i \(0.269942\pi\)
\(164\) −2.96243 + 5.13107i −0.231327 + 0.400670i
\(165\) −0.418985 + 0.380122i −0.0326179 + 0.0295924i
\(166\) −12.5267 + 7.23229i −0.972260 + 0.561335i
\(167\) −8.98184 15.5570i −0.695036 1.20384i −0.970169 0.242431i \(-0.922055\pi\)
0.275133 0.961406i \(-0.411278\pi\)
\(168\) −0.478020 + 0.827955i −0.0368800 + 0.0638781i
\(169\) 5.02483 8.70326i 0.386526 0.669482i
\(170\) −8.65913 9.54442i −0.664125 0.732024i
\(171\) 4.49741i 0.343926i
\(172\) 0.637017 + 1.10335i 0.0485721 + 0.0841294i
\(173\) −11.7107 6.76116i −0.890346 0.514042i −0.0162904 0.999867i \(-0.505186\pi\)
−0.874056 + 0.485826i \(0.838519\pi\)
\(174\) −6.74876 −0.511622
\(175\) 2.78053 3.88831i 0.210188 0.293929i
\(176\) −0.126499 + 0.219103i −0.00953523 + 0.0165155i
\(177\) −15.0437 −1.13075
\(178\) −6.84497 + 3.95194i −0.513052 + 0.296211i
\(179\) 4.23810i 0.316771i 0.987377 + 0.158385i \(0.0506288\pi\)
−0.987377 + 0.158385i \(0.949371\pi\)
\(180\) −2.18544 + 0.473136i −0.162893 + 0.0352655i
\(181\) −4.72246 8.17955i −0.351018 0.607981i 0.635410 0.772175i \(-0.280831\pi\)
−0.986428 + 0.164194i \(0.947498\pi\)
\(182\) 1.42214 0.821073i 0.105416 0.0608620i
\(183\) −1.98545 + 3.43889i −0.146768 + 0.254210i
\(184\) 4.71996 0.347960
\(185\) 4.56787 12.8115i 0.335837 0.941920i
\(186\) 0.279008 0.0204579
\(187\) −0.729049 + 1.26275i −0.0533133 + 0.0923414i
\(188\) −5.35121 + 3.08952i −0.390277 + 0.225327i
\(189\) 0.478020 + 0.827955i 0.0347708 + 0.0602248i
\(190\) 2.12789 + 9.82882i 0.154373 + 0.713058i
\(191\) 14.5601i 1.05353i −0.850010 0.526766i \(-0.823404\pi\)
0.850010 0.526766i \(-0.176596\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) 9.43753 0.679329 0.339664 0.940547i \(-0.389687\pi\)
0.339664 + 0.940547i \(0.389687\pi\)
\(194\) 8.91478 15.4408i 0.640044 1.10859i
\(195\) 3.65725 + 1.17311i 0.261901 + 0.0840080i
\(196\) 6.08599 0.434713
\(197\) −13.6839 7.90037i −0.974934 0.562878i −0.0741971 0.997244i \(-0.523639\pi\)
−0.900737 + 0.434365i \(0.856973\pi\)
\(198\) 0.126499 + 0.219103i 0.00898990 + 0.0155710i
\(199\) 3.54416i 0.251239i −0.992079 0.125619i \(-0.959908\pi\)
0.992079 0.125619i \(-0.0400918\pi\)
\(200\) 4.55228 2.06802i 0.321895 0.146231i
\(201\) −0.299295 + 0.518394i −0.0211106 + 0.0365647i
\(202\) −6.62067 + 11.4673i −0.465829 + 0.806839i
\(203\) −3.22604 5.58767i −0.226424 0.392177i
\(204\) −4.99114 + 2.88164i −0.349450 + 0.201755i
\(205\) −8.90190 9.81202i −0.621736 0.685301i
\(206\) −5.32783 + 9.22806i −0.371207 + 0.642950i
\(207\) 2.35998 4.08761i 0.164030 0.284108i
\(208\) 1.71765 0.119098
\(209\) 0.985397 0.568919i 0.0681613 0.0393530i
\(210\) −1.43642 1.58328i −0.0991223 0.109256i
\(211\) −19.4199 −1.33692 −0.668461 0.743747i \(-0.733047\pi\)
−0.668461 + 0.743747i \(0.733047\pi\)
\(212\) 8.20102i 0.563248i
\(213\) −10.6955 6.17507i −0.732846 0.423109i
\(214\) 15.1065i 1.03266i
\(215\) −2.78432 + 0.602792i −0.189889 + 0.0411101i
\(216\) 1.00000i 0.0680414i
\(217\) 0.133371 + 0.231006i 0.00905384 + 0.0156817i
\(218\) 10.6230 6.13320i 0.719481 0.415392i
\(219\) 5.36778 + 9.29726i 0.362721 + 0.628251i
\(220\) −0.380122 0.418985i −0.0256278 0.0282479i
\(221\) 9.89931 0.665900
\(222\) −5.16750 3.20888i −0.346820 0.215366i
\(223\) 11.3168i 0.757826i −0.925432 0.378913i \(-0.876298\pi\)
0.925432 0.378913i \(-0.123702\pi\)
\(224\) −0.827955 0.478020i −0.0553200 0.0319390i
\(225\) 0.485183 4.97640i 0.0323455 0.331760i
\(226\) 1.13408 + 1.96429i 0.0754380 + 0.130662i
\(227\) −3.47406 6.01725i −0.230581 0.399379i 0.727398 0.686216i \(-0.240729\pi\)
−0.957979 + 0.286837i \(0.907396\pi\)
\(228\) 4.49741 0.297849
\(229\) 10.4066 + 18.0248i 0.687690 + 1.19111i 0.972583 + 0.232555i \(0.0747084\pi\)
−0.284894 + 0.958559i \(0.591958\pi\)
\(230\) −3.22360 + 10.0498i −0.212558 + 0.662665i
\(231\) −0.120938 + 0.209471i −0.00795715 + 0.0137822i
\(232\) 6.74876i 0.443078i
\(233\) 1.61054i 0.105510i −0.998607 0.0527550i \(-0.983200\pi\)
0.998607 0.0527550i \(-0.0168003\pi\)
\(234\) 0.858827 1.48753i 0.0561433 0.0972430i
\(235\) −2.92353 13.5039i −0.190710 0.880899i
\(236\) 15.0437i 0.979260i
\(237\) 1.27546 2.20916i 0.0828501 0.143500i
\(238\) −4.77173 2.75496i −0.309305 0.178577i
\(239\) 7.21821 + 4.16744i 0.466907 + 0.269569i 0.714944 0.699181i \(-0.246452\pi\)
−0.248037 + 0.968751i \(0.579785\pi\)
\(240\) −0.473136 2.18544i −0.0305408 0.141069i
\(241\) −20.3057 + 11.7235i −1.30800 + 0.755176i −0.981763 0.190110i \(-0.939115\pi\)
−0.326241 + 0.945287i \(0.605782\pi\)
\(242\) 5.46800 9.47085i 0.351496 0.608809i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) −3.43889 1.98545i −0.220153 0.127105i
\(245\) −4.15655 + 12.9584i −0.265552 + 0.827880i
\(246\) −5.13107 + 2.96243i −0.327145 + 0.188877i
\(247\) −6.69005 3.86250i −0.425678 0.245765i
\(248\) 0.279008i 0.0177170i
\(249\) −14.4646 −0.916656
\(250\) 1.29418 + 11.1052i 0.0818512 + 0.702353i
\(251\) 6.35514i 0.401133i 0.979680 + 0.200566i \(0.0642783\pi\)
−0.979680 + 0.200566i \(0.935722\pi\)
\(252\) −0.827955 + 0.478020i −0.0521562 + 0.0301124i
\(253\) 1.19414 0.0750751
\(254\) 2.12642 1.22769i 0.133424 0.0770322i
\(255\) −2.72681 12.5953i −0.170760 0.788747i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −11.3520 + 19.6623i −0.708119 + 1.22650i 0.257435 + 0.966296i \(0.417123\pi\)
−0.965554 + 0.260203i \(0.916211\pi\)
\(258\) 1.27403i 0.0793179i
\(259\) 0.186636 5.81237i 0.0115970 0.361163i
\(260\) −1.17311 + 3.65725i −0.0727531 + 0.226813i
\(261\) −5.84460 3.37438i −0.361771 0.208869i
\(262\) −15.2442 + 8.80126i −0.941791 + 0.543743i
\(263\) 15.7566 9.09708i 0.971594 0.560950i 0.0718724 0.997414i \(-0.477103\pi\)
0.899722 + 0.436464i \(0.143769\pi\)
\(264\) −0.219103 + 0.126499i −0.0134849 + 0.00778548i
\(265\) 17.4617 + 5.60106i 1.07267 + 0.344070i
\(266\) 2.14985 + 3.72366i 0.131816 + 0.228312i
\(267\) −7.90389 −0.483710
\(268\) −0.518394 0.299295i −0.0316659 0.0182823i
\(269\) −14.0186 −0.854729 −0.427365 0.904079i \(-0.640558\pi\)
−0.427365 + 0.904079i \(0.640558\pi\)
\(270\) −2.12921 0.682971i −0.129580 0.0415643i
\(271\) 3.39607 5.88217i 0.206297 0.357316i −0.744248 0.667903i \(-0.767192\pi\)
0.950545 + 0.310587i \(0.100525\pi\)
\(272\) −2.88164 4.99114i −0.174725 0.302632i
\(273\) 1.64215 0.0993872
\(274\) −1.01490 0.585952i −0.0613123 0.0353987i
\(275\) 1.15172 0.523206i 0.0694513 0.0315505i
\(276\) 4.08761 + 2.35998i 0.246045 + 0.142054i
\(277\) −5.09774 8.82954i −0.306293 0.530516i 0.671255 0.741226i \(-0.265756\pi\)
−0.977548 + 0.210711i \(0.932422\pi\)
\(278\) 1.65873 + 2.87300i 0.0994838 + 0.172311i
\(279\) 0.241628 + 0.139504i 0.0144659 + 0.00835189i
\(280\) 1.58328 1.43642i 0.0946188 0.0858424i
\(281\) 15.7170 + 9.07419i 0.937595 + 0.541321i 0.889206 0.457508i \(-0.151258\pi\)
0.0483896 + 0.998829i \(0.484591\pi\)
\(282\) −6.17905 −0.367957
\(283\) −1.22946 2.12948i −0.0730835 0.126584i 0.827168 0.561955i \(-0.189951\pi\)
−0.900251 + 0.435371i \(0.856617\pi\)
\(284\) 6.17507 10.6955i 0.366423 0.634663i
\(285\) −3.07160 + 9.57596i −0.181946 + 0.567231i
\(286\) 0.434563 0.0256963
\(287\) −4.90551 2.83220i −0.289563 0.167179i
\(288\) −1.00000 −0.0589256
\(289\) −8.10766 14.0429i −0.476921 0.826052i
\(290\) 14.3695 + 4.60921i 0.843809 + 0.270662i
\(291\) 15.4408 8.91478i 0.905158 0.522593i
\(292\) −9.29726 + 5.36778i −0.544081 + 0.314125i
\(293\) −14.7982 + 8.54373i −0.864518 + 0.499130i −0.865523 0.500870i \(-0.833014\pi\)
0.00100443 + 0.999999i \(0.499680\pi\)
\(294\) 5.27062 + 3.04299i 0.307389 + 0.177471i
\(295\) 32.0312 + 10.2744i 1.86493 + 0.598198i
\(296\) 3.20888 5.16750i 0.186512 0.300355i
\(297\) 0.252998i 0.0146804i
\(298\) 2.91394 5.04710i 0.168800 0.292370i
\(299\) −4.05363 7.02110i −0.234428 0.406040i
\(300\) 4.97640 + 0.485183i 0.287313 + 0.0280120i
\(301\) −1.05484 + 0.609014i −0.0608001 + 0.0351030i
\(302\) −19.4744 −1.12063
\(303\) −11.4673 + 6.62067i −0.658781 + 0.380348i
\(304\) 4.49741i 0.257944i
\(305\) 6.57610 5.96614i 0.376547 0.341620i
\(306\) −5.76327 −0.329464
\(307\) 18.3619i 1.04797i −0.851729 0.523983i \(-0.824445\pi\)
0.851729 0.523983i \(-0.175555\pi\)
\(308\) −0.209471 0.120938i −0.0119357 0.00689109i
\(309\) −9.22806 + 5.32783i −0.524966 + 0.303089i
\(310\) −0.594068 0.190555i −0.0337408 0.0108228i
\(311\) −8.27066 4.77507i −0.468986 0.270769i 0.246829 0.969059i \(-0.420611\pi\)
−0.715815 + 0.698290i \(0.753945\pi\)
\(312\) 1.48753 + 0.858827i 0.0842149 + 0.0486215i
\(313\) −2.40463 + 4.16495i −0.135918 + 0.235417i −0.925948 0.377652i \(-0.876732\pi\)
0.790030 + 0.613068i \(0.210065\pi\)
\(314\) 1.24648 0.719657i 0.0703430 0.0406126i
\(315\) −0.452337 2.08937i −0.0254863 0.117722i
\(316\) 2.20916 + 1.27546i 0.124275 + 0.0717502i
\(317\) 12.6914 + 7.32737i 0.712818 + 0.411546i 0.812104 0.583513i \(-0.198322\pi\)
−0.0992854 + 0.995059i \(0.531656\pi\)
\(318\) 4.10051 7.10229i 0.229945 0.398277i
\(319\) 1.70742i 0.0955974i
\(320\) 2.18544 0.473136i 0.122170 0.0264491i
\(321\) 7.55326 13.0826i 0.421582 0.730201i
\(322\) 4.51247i 0.251470i
\(323\) 25.9198i 1.44222i
\(324\) −0.500000 + 0.866025i −0.0277778 + 0.0481125i
\(325\) −6.98587 4.99560i −0.387507 0.277106i
\(326\) −4.06999 7.04943i −0.225416 0.390432i
\(327\) 12.2664 0.678333
\(328\) −2.96243 5.13107i −0.163573 0.283316i
\(329\) −2.95371 5.11597i −0.162843 0.282053i
\(330\) −0.119703 0.552912i −0.00658942 0.0304368i
\(331\) −8.57428 4.95036i −0.471285 0.272097i 0.245492 0.969399i \(-0.421050\pi\)
−0.716778 + 0.697302i \(0.754384\pi\)
\(332\) 14.4646i 0.793847i
\(333\) −2.87075 5.36272i −0.157316 0.293875i
\(334\) 17.9637 0.982929
\(335\) 0.991311 0.899362i 0.0541611 0.0491374i
\(336\) −0.478020 0.827955i −0.0260781 0.0451686i
\(337\) 20.2823 11.7100i 1.10485 0.637883i 0.167356 0.985897i \(-0.446477\pi\)
0.937489 + 0.348014i \(0.113144\pi\)
\(338\) 5.02483 + 8.70326i 0.273315 + 0.473395i
\(339\) 2.26816i 0.123190i
\(340\) 12.5953 2.72681i 0.683075 0.147882i
\(341\) 0.0705886i 0.00382259i
\(342\) 3.89488 + 2.24871i 0.210611 + 0.121596i
\(343\) 12.5107i 0.675516i
\(344\) −1.27403 −0.0686913
\(345\) −7.81662 + 7.09159i −0.420833 + 0.381798i
\(346\) 11.7107 6.76116i 0.629570 0.363482i
\(347\) −36.3696 −1.95242 −0.976211 0.216821i \(-0.930431\pi\)
−0.976211 + 0.216821i \(0.930431\pi\)
\(348\) 3.37438 5.84460i 0.180886 0.313303i
\(349\) −1.19043 + 2.06189i −0.0637225 + 0.110371i −0.896127 0.443799i \(-0.853631\pi\)
0.832404 + 0.554169i \(0.186964\pi\)
\(350\) 1.97711 + 4.35216i 0.105681 + 0.232633i
\(351\) 1.48753 0.858827i 0.0793986 0.0458408i
\(352\) −0.126499 0.219103i −0.00674243 0.0116782i
\(353\) 5.59944 9.69852i 0.298028 0.516200i −0.677657 0.735378i \(-0.737004\pi\)
0.975685 + 0.219179i \(0.0703377\pi\)
\(354\) 7.52184 13.0282i 0.399781 0.692441i
\(355\) 18.5557 + 20.4528i 0.984833 + 1.08552i
\(356\) 7.90389i 0.418905i
\(357\) −2.75496 4.77173i −0.145808 0.252547i
\(358\) −3.67031 2.11905i −0.193982 0.111995i
\(359\) −11.1332 −0.587590 −0.293795 0.955868i \(-0.594918\pi\)
−0.293795 + 0.955868i \(0.594918\pi\)
\(360\) 0.682971 2.12921i 0.0359957 0.112219i
\(361\) 0.613370 1.06239i 0.0322826 0.0559151i
\(362\) 9.44493 0.496414
\(363\) 9.47085 5.46800i 0.497091 0.286995i
\(364\) 1.64215i 0.0860718i
\(365\) −5.07938 23.4619i −0.265867 1.22805i
\(366\) −1.98545 3.43889i −0.103781 0.179754i
\(367\) −18.2562 + 10.5402i −0.952967 + 0.550196i −0.894001 0.448064i \(-0.852114\pi\)
−0.0589660 + 0.998260i \(0.518780\pi\)
\(368\) −2.35998 + 4.08761i −0.123023 + 0.213081i
\(369\) −5.92485 −0.308436
\(370\) 8.81115 + 10.3616i 0.458070 + 0.538676i
\(371\) 7.84050 0.407059
\(372\) −0.139504 + 0.241628i −0.00723295 + 0.0125278i
\(373\) 5.11640 2.95396i 0.264917 0.152950i −0.361658 0.932311i \(-0.617789\pi\)
0.626576 + 0.779361i \(0.284456\pi\)
\(374\) −0.729049 1.26275i −0.0376982 0.0652952i
\(375\) −4.43180 + 10.2645i −0.228857 + 0.530055i
\(376\) 6.17905i 0.318660i
\(377\) −10.0390 + 5.79602i −0.517035 + 0.298510i
\(378\) −0.956040 −0.0491734
\(379\) −11.0088 + 19.0677i −0.565482 + 0.979444i 0.431522 + 0.902102i \(0.357977\pi\)
−0.997005 + 0.0773420i \(0.975357\pi\)
\(380\) −9.57596 3.07160i −0.491236 0.157570i
\(381\) 2.45538 0.125793
\(382\) 12.6094 + 7.28005i 0.645154 + 0.372480i
\(383\) −2.98389 5.16824i −0.152470 0.264085i 0.779665 0.626197i \(-0.215389\pi\)
−0.932135 + 0.362112i \(0.882056\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) 0.400566 0.363411i 0.0204147 0.0185212i
\(386\) −4.71877 + 8.17314i −0.240179 + 0.416002i
\(387\) −0.637017 + 1.10335i −0.0323814 + 0.0560862i
\(388\) 8.91478 + 15.4408i 0.452579 + 0.783890i
\(389\) −5.95890 + 3.44038i −0.302128 + 0.174434i −0.643399 0.765531i \(-0.722476\pi\)
0.341270 + 0.939965i \(0.389143\pi\)
\(390\) −2.84457 + 2.58072i −0.144040 + 0.130680i
\(391\) −13.6012 + 23.5580i −0.687843 + 1.19138i
\(392\) −3.04299 + 5.27062i −0.153694 + 0.266207i
\(393\) −17.6025 −0.887929
\(394\) 13.6839 7.90037i 0.689382 0.398015i
\(395\) −4.22452 + 3.83268i −0.212559 + 0.192843i
\(396\) −0.252998 −0.0127136
\(397\) 8.30320i 0.416726i 0.978052 + 0.208363i \(0.0668135\pi\)
−0.978052 + 0.208363i \(0.933186\pi\)
\(398\) 3.06933 + 1.77208i 0.153852 + 0.0888263i
\(399\) 4.29971i 0.215255i
\(400\) −0.485183 + 4.97640i −0.0242591 + 0.248820i
\(401\) 13.4756i 0.672937i 0.941695 + 0.336469i \(0.109233\pi\)
−0.941695 + 0.336469i \(0.890767\pi\)
\(402\) −0.299295 0.518394i −0.0149275 0.0258551i
\(403\) 0.415034 0.239620i 0.0206743 0.0119363i
\(404\) −6.62067 11.4673i −0.329391 0.570521i
\(405\) −1.50247 1.65608i −0.0746582 0.0822911i
\(406\) 6.45208 0.320211
\(407\) 0.811841 1.30737i 0.0402414 0.0648039i
\(408\) 5.76327i 0.285325i
\(409\) −13.6292 7.86885i −0.673923 0.389090i 0.123638 0.992327i \(-0.460544\pi\)
−0.797561 + 0.603238i \(0.793877\pi\)
\(410\) 12.9484 2.80326i 0.639476 0.138443i
\(411\) −0.585952 1.01490i −0.0289029 0.0500613i
\(412\) −5.32783 9.22806i −0.262483 0.454634i
\(413\) 14.3823 0.707709
\(414\) 2.35998 + 4.08761i 0.115987 + 0.200895i
\(415\) 30.7982 + 9.87889i 1.51182 + 0.484936i
\(416\) −0.858827 + 1.48753i −0.0421075 + 0.0729323i
\(417\) 3.31745i 0.162456i
\(418\) 1.13784i 0.0556535i
\(419\) −17.2973 + 29.9597i −0.845027 + 1.46363i 0.0405714 + 0.999177i \(0.487082\pi\)
−0.885598 + 0.464452i \(0.846251\pi\)
\(420\) 2.08937 0.452337i 0.101951 0.0220718i
\(421\) 24.6521i 1.20147i −0.799449 0.600734i \(-0.794875\pi\)
0.799449 0.600734i \(-0.205125\pi\)
\(422\) 9.70996 16.8181i 0.472673 0.818694i
\(423\) −5.35121 3.08952i −0.260185 0.150218i
\(424\) 7.10229 + 4.10051i 0.344918 + 0.199138i
\(425\) −2.79624 + 28.6804i −0.135638 + 1.39120i
\(426\) 10.6955 6.17507i 0.518200 0.299183i
\(427\) 1.89817 3.28772i 0.0918586 0.159104i
\(428\) 13.0826 + 7.55326i 0.632373 + 0.365101i
\(429\) 0.376343 + 0.217282i 0.0181700 + 0.0104905i
\(430\) 0.870129 2.71269i 0.0419613 0.130818i
\(431\) 1.32424 0.764551i 0.0637864 0.0368271i −0.467768 0.883851i \(-0.654942\pi\)
0.531554 + 0.847024i \(0.321608\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 0.749467i 0.0360171i −0.999838 0.0180085i \(-0.994267\pi\)
0.999838 0.0180085i \(-0.00573261\pi\)
\(434\) −0.266743 −0.0128041
\(435\) 10.1398 + 11.1765i 0.486166 + 0.535870i
\(436\) 12.2664i 0.587454i
\(437\) 18.3837 10.6138i 0.879410 0.507728i
\(438\) −10.7356 −0.512965
\(439\) 5.66201 3.26896i 0.270233 0.156019i −0.358760 0.933430i \(-0.616801\pi\)
0.628994 + 0.777410i \(0.283467\pi\)
\(440\) 0.552912 0.119703i 0.0263591 0.00570660i
\(441\) 3.04299 + 5.27062i 0.144904 + 0.250982i
\(442\) −4.94966 + 8.57305i −0.235431 + 0.407779i
\(443\) 31.0306i 1.47431i 0.675724 + 0.737155i \(0.263831\pi\)
−0.675724 + 0.737155i \(0.736169\pi\)
\(444\) 5.36272 2.87075i 0.254504 0.136240i
\(445\) 16.8291 + 5.39813i 0.797774 + 0.255896i
\(446\) 9.80060 + 5.65838i 0.464072 + 0.267932i
\(447\) 5.04710 2.91394i 0.238719 0.137825i
\(448\) 0.827955 0.478020i 0.0391172 0.0225843i
\(449\) −30.7650 + 17.7622i −1.45189 + 0.838249i −0.998589 0.0531078i \(-0.983087\pi\)
−0.453302 + 0.891357i \(0.649754\pi\)
\(450\) 4.06710 + 2.90838i 0.191725 + 0.137102i
\(451\) −0.749489 1.29815i −0.0352921 0.0611276i
\(452\) −2.26816 −0.106685
\(453\) −16.8654 9.73722i −0.792404 0.457495i
\(454\) 6.94812 0.326091
\(455\) −3.49648 1.12154i −0.163917 0.0525785i
\(456\) −2.24871 + 3.89488i −0.105305 + 0.182394i
\(457\) 12.4644 + 21.5890i 0.583061 + 1.00989i 0.995114 + 0.0987315i \(0.0314785\pi\)
−0.412053 + 0.911160i \(0.635188\pi\)
\(458\) −20.8133 −0.972540
\(459\) −4.99114 2.88164i −0.232967 0.134503i
\(460\) −7.09159 7.81662i −0.330647 0.364452i
\(461\) −25.5860 14.7721i −1.19166 0.688004i −0.232975 0.972483i \(-0.574846\pi\)
−0.958682 + 0.284479i \(0.908180\pi\)
\(462\) −0.120938 0.209471i −0.00562655 0.00974548i
\(463\) −10.2303 17.7195i −0.475444 0.823493i 0.524160 0.851620i \(-0.324379\pi\)
−0.999604 + 0.0281264i \(0.991046\pi\)
\(464\) 5.84460 + 3.37438i 0.271329 + 0.156652i
\(465\) −0.419201 0.462059i −0.0194400 0.0214275i
\(466\) 1.39477 + 0.805271i 0.0646115 + 0.0373035i
\(467\) −14.8626 −0.687760 −0.343880 0.939014i \(-0.611741\pi\)
−0.343880 + 0.939014i \(0.611741\pi\)
\(468\) 0.858827 + 1.48753i 0.0396993 + 0.0687612i
\(469\) 0.286138 0.495605i 0.0132126 0.0228849i
\(470\) 13.1565 + 4.22011i 0.606865 + 0.194659i
\(471\) 1.43931 0.0663200
\(472\) 13.0282 + 7.52184i 0.599672 + 0.346221i
\(473\) −0.322329 −0.0148207
\(474\) 1.27546 + 2.20916i 0.0585838 + 0.101470i
\(475\) 13.0802 18.2914i 0.600161 0.839269i
\(476\) 4.77173 2.75496i 0.218712 0.126273i
\(477\) 7.10229 4.10051i 0.325192 0.187749i
\(478\) −7.21821 + 4.16744i −0.330153 + 0.190614i
\(479\) 12.3586 + 7.13524i 0.564679 + 0.326017i 0.755021 0.655700i \(-0.227627\pi\)
−0.190343 + 0.981718i \(0.560960\pi\)
\(480\) 2.12921 + 0.682971i 0.0971849 + 0.0311732i
\(481\) −10.4427 0.335317i −0.476146 0.0152891i
\(482\) 23.4470i 1.06798i
\(483\) −2.25624 + 3.90791i −0.102662 + 0.177816i
\(484\) 5.46800 + 9.47085i 0.248545 + 0.430493i
\(485\) −38.9654 + 8.43581i −1.76933 + 0.383050i
\(486\) −0.866025 + 0.500000i −0.0392837 + 0.0226805i
\(487\) 9.99983 0.453136 0.226568 0.973995i \(-0.427250\pi\)
0.226568 + 0.973995i \(0.427250\pi\)
\(488\) 3.43889 1.98545i 0.155671 0.0898769i
\(489\) 8.13998i 0.368103i
\(490\) −9.14400 10.0789i −0.413084 0.455317i
\(491\) 2.92058 0.131804 0.0659020 0.997826i \(-0.479008\pi\)
0.0659020 + 0.997826i \(0.479008\pi\)
\(492\) 5.92485i 0.267113i
\(493\) 33.6840 + 19.4475i 1.51705 + 0.875870i
\(494\) 6.69005 3.86250i 0.301000 0.173782i
\(495\) 0.172790 0.538687i 0.00776635 0.0242122i
\(496\) −0.241628 0.139504i −0.0108494 0.00626392i
\(497\) 10.2254 + 5.90361i 0.458670 + 0.264813i
\(498\) 7.23229 12.5267i 0.324087 0.561335i
\(499\) −15.7111 + 9.07079i −0.703324 + 0.406064i −0.808584 0.588380i \(-0.799766\pi\)
0.105260 + 0.994445i \(0.466432\pi\)
\(500\) −10.2645 4.43180i −0.459041 0.198196i
\(501\) 15.5570 + 8.98184i 0.695036 + 0.401279i
\(502\) −5.50371 3.17757i −0.245643 0.141822i
\(503\) 19.8786 34.4308i 0.886344 1.53519i 0.0421784 0.999110i \(-0.486570\pi\)
0.844166 0.536083i \(-0.180096\pi\)
\(504\) 0.956040i 0.0425854i
\(505\) 28.9381 6.26496i 1.28773 0.278787i
\(506\) −0.597071 + 1.03416i −0.0265430 + 0.0459739i
\(507\) 10.0497i 0.446321i
\(508\) 2.45538i 0.108940i
\(509\) −13.2095 + 22.8795i −0.585501 + 1.01412i 0.409312 + 0.912394i \(0.365769\pi\)
−0.994813 + 0.101723i \(0.967565\pi\)
\(510\) 12.2712 + 3.93615i 0.543380 + 0.174296i
\(511\) −5.13181 8.88855i −0.227018 0.393206i
\(512\) 1.00000 0.0441942
\(513\) 2.24871 + 3.89488i 0.0992829 + 0.171963i
\(514\) −11.3520 19.6623i −0.500716 0.867265i
\(515\) 23.2873 5.04158i 1.02616 0.222158i
\(516\) −1.10335 0.637017i −0.0485721 0.0280431i
\(517\) 1.56329i 0.0687534i
\(518\) 4.94034 + 3.06781i 0.217066 + 0.134792i
\(519\) 13.5223 0.593564
\(520\) −2.58072 2.84457i −0.113172 0.124743i
\(521\) −15.6202 27.0551i −0.684335 1.18530i −0.973645 0.228068i \(-0.926759\pi\)
0.289310 0.957235i \(-0.406574\pi\)
\(522\) 5.84460 3.37438i 0.255811 0.147693i
\(523\) −2.75025 4.76357i −0.120260 0.208296i 0.799610 0.600519i \(-0.205039\pi\)
−0.919870 + 0.392223i \(0.871706\pi\)
\(524\) 17.6025i 0.768969i
\(525\) −0.463854 + 4.75764i −0.0202442 + 0.207640i
\(526\) 18.1942i 0.793303i
\(527\) −1.39257 0.804000i −0.0606613 0.0350228i
\(528\) 0.252998i 0.0110103i
\(529\) −0.721957 −0.0313894
\(530\) −13.5815 + 12.3218i −0.589944 + 0.535223i
\(531\) 13.0282 7.52184i 0.565376 0.326420i
\(532\) −4.29971 −0.186416
\(533\) −5.08843 + 8.81341i −0.220404 + 0.381751i
\(534\) 3.95194 6.84497i 0.171017 0.296211i
\(535\) −25.0176 + 22.6971i −1.08160 + 0.981279i
\(536\) 0.518394 0.299295i 0.0223912 0.0129276i
\(537\) −2.11905 3.67031i −0.0914438 0.158385i
\(538\) 7.00930 12.1405i 0.302192 0.523413i
\(539\) −0.769872 + 1.33346i −0.0331607 + 0.0574361i
\(540\) 1.65608 1.50247i 0.0712662 0.0646559i
\(541\) 20.1172i 0.864904i 0.901657 + 0.432452i \(0.142351\pi\)
−0.901657 + 0.432452i \(0.857649\pi\)
\(542\) 3.39607 + 5.88217i 0.145874 + 0.252661i
\(543\) 8.17955 + 4.72246i 0.351018 + 0.202660i
\(544\) 5.76327 0.247098
\(545\) −26.1178 8.37759i −1.11876 0.358857i
\(546\) −0.821073 + 1.42214i −0.0351387 + 0.0608620i
\(547\) −17.4376 −0.745580 −0.372790 0.927916i \(-0.621599\pi\)
−0.372790 + 0.927916i \(0.621599\pi\)
\(548\) 1.01490 0.585952i 0.0433544 0.0250306i
\(549\) 3.97089i 0.169474i
\(550\) −0.122750 + 1.25902i −0.00523409 + 0.0536849i
\(551\) −15.1760 26.2856i −0.646519 1.11980i
\(552\) −4.08761 + 2.35998i −0.173980 + 0.100447i
\(553\) −1.21939 + 2.11205i −0.0518538 + 0.0898134i
\(554\) 10.1955 0.433164
\(555\) 2.44986 + 13.3790i 0.103991 + 0.567908i
\(556\) −3.31745 −0.140691
\(557\) −5.96951 + 10.3395i −0.252936 + 0.438098i −0.964333 0.264692i \(-0.914730\pi\)
0.711397 + 0.702791i \(0.248063\pi\)
\(558\) −0.241628 + 0.139504i −0.0102289 + 0.00590568i
\(559\) 1.09418 + 1.89517i 0.0462787 + 0.0801570i
\(560\) 0.452337 + 2.08937i 0.0191147 + 0.0882918i
\(561\) 1.45810i 0.0615609i
\(562\) −15.7170 + 9.07419i −0.662980 + 0.382772i
\(563\) 26.5836 1.12036 0.560182 0.828370i \(-0.310731\pi\)
0.560182 + 0.828370i \(0.310731\pi\)
\(564\) 3.08952 5.35121i 0.130092 0.225327i
\(565\) 1.54909 4.82940i 0.0651707 0.203175i
\(566\) 2.45891 0.103356
\(567\) −0.827955 0.478020i −0.0347708 0.0200749i
\(568\) 6.17507 + 10.6955i 0.259100 + 0.448775i
\(569\) 31.4826i 1.31982i −0.751344 0.659911i \(-0.770594\pi\)
0.751344 0.659911i \(-0.229406\pi\)
\(570\) −6.75722 7.44807i −0.283029 0.311965i
\(571\) −21.1332 + 36.6037i −0.884395 + 1.53182i −0.0379900 + 0.999278i \(0.512096\pi\)
−0.846405 + 0.532539i \(0.821238\pi\)
\(572\) −0.217282 + 0.376343i −0.00908501 + 0.0157357i
\(573\) 7.28005 + 12.6094i 0.304128 + 0.526766i
\(574\) 4.90551 2.83220i 0.204752 0.118214i
\(575\) 21.4866 9.76098i 0.896053 0.407061i
\(576\) 0.500000 0.866025i 0.0208333 0.0360844i
\(577\) 2.58269 4.47335i 0.107519 0.186228i −0.807246 0.590216i \(-0.799043\pi\)
0.914765 + 0.403987i \(0.132376\pi\)
\(578\) 16.2153 0.674468
\(579\) −8.17314 + 4.71877i −0.339664 + 0.196105i
\(580\) −11.1765 + 10.1398i −0.464077 + 0.421032i
\(581\) 13.8287 0.573712
\(582\) 17.8296i 0.739059i
\(583\) 1.79687 + 1.03742i 0.0744187 + 0.0429656i
\(584\) 10.7356i 0.444240i
\(585\) −3.75383 + 0.812685i −0.155202 + 0.0336004i
\(586\) 17.0875i 0.705876i
\(587\) 19.1660 + 33.1964i 0.791064 + 1.37016i 0.925309 + 0.379215i \(0.123806\pi\)
−0.134244 + 0.990948i \(0.542861\pi\)
\(588\) −5.27062 + 3.04299i −0.217357 + 0.125491i
\(589\) 0.627408 + 1.08670i 0.0258519 + 0.0447768i
\(590\) −24.9135 + 22.6026i −1.02567 + 0.930536i
\(591\) 15.8007 0.649956
\(592\) 2.87075 + 5.36272i 0.117987 + 0.220407i
\(593\) 44.1228i 1.81191i 0.423379 + 0.905953i \(0.360844\pi\)
−0.423379 + 0.905953i \(0.639156\pi\)
\(594\) −0.219103 0.126499i −0.00898990 0.00519032i
\(595\) 2.60694 + 12.0416i 0.106874 + 0.493657i
\(596\) 2.91394 + 5.04710i 0.119360 + 0.206737i
\(597\) 1.77208 + 3.06933i 0.0725264 + 0.125619i
\(598\) 8.10726 0.331531
\(599\) −9.68215 16.7700i −0.395602 0.685202i 0.597576 0.801812i \(-0.296131\pi\)
−0.993178 + 0.116610i \(0.962797\pi\)
\(600\) −2.90838 + 4.06710i −0.118734 + 0.166039i
\(601\) 16.6840 28.8976i 0.680555 1.17876i −0.294257 0.955726i \(-0.595072\pi\)
0.974812 0.223030i \(-0.0715947\pi\)
\(602\) 1.21803i 0.0496431i
\(603\) 0.598590i 0.0243765i
\(604\) 9.73722 16.8654i 0.396202 0.686242i
\(605\) −23.8999 + 5.17422i −0.971671 + 0.210362i
\(606\) 13.2413i 0.537893i
\(607\) 8.61613 14.9236i 0.349718 0.605730i −0.636481 0.771292i \(-0.719611\pi\)
0.986199 + 0.165563i \(0.0529440\pi\)
\(608\) −3.89488 2.24871i −0.157958 0.0911971i
\(609\) 5.58767 + 3.22604i 0.226424 + 0.130726i
\(610\) 1.87877 + 8.67814i 0.0760693 + 0.351368i
\(611\) −9.19154 + 5.30674i −0.371850 + 0.214688i
\(612\) 2.88164 4.99114i 0.116483 0.201755i
\(613\) 12.5282 + 7.23314i 0.506008 + 0.292144i 0.731191 0.682173i \(-0.238965\pi\)
−0.225183 + 0.974316i \(0.572298\pi\)
\(614\) 15.9018 + 9.18093i 0.641746 + 0.370512i
\(615\) 12.6153 + 4.04650i 0.508697 + 0.163171i
\(616\) 0.209471 0.120938i 0.00843983 0.00487274i
\(617\) 12.2964 + 7.09933i 0.495035 + 0.285808i 0.726661 0.686996i \(-0.241071\pi\)
−0.231626 + 0.972805i \(0.574405\pi\)
\(618\) 10.6557i 0.428633i
\(619\) 35.2133 1.41534 0.707670 0.706543i \(-0.249746\pi\)
0.707670 + 0.706543i \(0.249746\pi\)
\(620\) 0.462059 0.419201i 0.0185567 0.0168355i
\(621\) 4.71996i 0.189406i
\(622\) 8.27066 4.77507i 0.331623 0.191463i
\(623\) 7.55643 0.302742
\(624\) −1.48753 + 0.858827i −0.0595489 + 0.0343806i
\(625\) 16.4466 18.8284i 0.657863 0.753138i
\(626\) −2.40463 4.16495i −0.0961085 0.166465i
\(627\) −0.568919 + 0.985397i −0.0227204 + 0.0393530i
\(628\) 1.43931i 0.0574348i
\(629\) 16.5449 + 30.9068i 0.659689 + 1.23234i
\(630\) 2.03561 + 0.652947i 0.0811007 + 0.0260140i
\(631\) −30.6967 17.7227i −1.22202 0.705531i −0.256668 0.966500i \(-0.582625\pi\)
−0.965347 + 0.260968i \(0.915958\pi\)
\(632\) −2.20916 + 1.27546i −0.0878757 + 0.0507351i
\(633\) 16.8181 9.70996i 0.668461 0.385936i
\(634\) −12.6914 + 7.32737i −0.504039 + 0.291007i
\(635\) −5.22803 1.67695i −0.207468 0.0665479i
\(636\) 4.10051 + 7.10229i 0.162596 + 0.281624i
\(637\) 10.4536 0.414188
\(638\) 1.47867 + 0.853712i 0.0585412 + 0.0337988i
\(639\) 12.3501 0.488564
\(640\) −0.682971 + 2.12921i −0.0269968 + 0.0841646i
\(641\) 10.9838 19.0244i 0.433833 0.751420i −0.563367 0.826207i \(-0.690494\pi\)
0.997200 + 0.0747865i \(0.0238275\pi\)
\(642\) 7.55326 + 13.0826i 0.298103 + 0.516330i
\(643\) −17.8210 −0.702792 −0.351396 0.936227i \(-0.614293\pi\)
−0.351396 + 0.936227i \(0.614293\pi\)
\(644\) −3.90791 2.25624i −0.153993 0.0889081i
\(645\) 2.10990 1.91420i 0.0830772 0.0753714i
\(646\) −22.4472 12.9599i −0.883174 0.509901i
\(647\) 14.0846 + 24.3952i 0.553722 + 0.959075i 0.998002 + 0.0631867i \(0.0201264\pi\)
−0.444280 + 0.895888i \(0.646540\pi\)
\(648\) −0.500000 0.866025i −0.0196419 0.0340207i
\(649\) 3.29611 + 1.90301i 0.129384 + 0.0746997i
\(650\) 7.81925 3.55215i 0.306696 0.139327i
\(651\) −0.231006 0.133371i −0.00905384 0.00522724i
\(652\) 8.13998 0.318786
\(653\) 21.2537 + 36.8125i 0.831722 + 1.44058i 0.896672 + 0.442696i \(0.145978\pi\)
−0.0649503 + 0.997888i \(0.520689\pi\)
\(654\) −6.13320 + 10.6230i −0.239827 + 0.415392i
\(655\) 37.4795 + 12.0220i 1.46445 + 0.469739i
\(656\) 5.92485 0.231327
\(657\) −9.29726 5.36778i −0.362721 0.209417i
\(658\) 5.90742 0.230295
\(659\) −8.89609 15.4085i −0.346543 0.600229i 0.639090 0.769132i \(-0.279311\pi\)
−0.985633 + 0.168902i \(0.945978\pi\)
\(660\) 0.538687 + 0.172790i 0.0209684 + 0.00672586i
\(661\) −3.69052 + 2.13072i −0.143545 + 0.0828755i −0.570052 0.821608i \(-0.693077\pi\)
0.426508 + 0.904484i \(0.359744\pi\)
\(662\) 8.57428 4.95036i 0.333249 0.192401i
\(663\) −8.57305 + 4.94966i −0.332950 + 0.192229i
\(664\) 12.5267 + 7.23229i 0.486130 + 0.280667i
\(665\) 2.93658 9.15499i 0.113876 0.355015i
\(666\) 6.07963 + 0.195218i 0.235581 + 0.00756454i
\(667\) 31.8539i 1.23339i
\(668\) −8.98184 + 15.5570i −0.347518 + 0.601919i
\(669\) 5.65838 + 9.80060i 0.218765 + 0.378913i
\(670\) 0.283215 + 1.30818i 0.0109415 + 0.0505394i
\(671\) 0.870034 0.502314i 0.0335873 0.0193916i
\(672\) 0.956040 0.0368800
\(673\) −27.5111 + 15.8835i −1.06047 + 0.612265i −0.925563 0.378593i \(-0.876408\pi\)
−0.134910 + 0.990858i \(0.543075\pi\)
\(674\) 23.4199i 0.902102i
\(675\) 2.06802 + 4.55228i 0.0795982 + 0.175217i
\(676\) −10.0497 −0.386526
\(677\) 1.40856i 0.0541352i −0.999634 0.0270676i \(-0.991383\pi\)
0.999634 0.0270676i \(-0.00861694\pi\)
\(678\) −1.96429 1.13408i −0.0754380 0.0435541i
\(679\) −14.7621 + 8.52288i −0.566516 + 0.327078i
\(680\) −3.93615 + 12.2712i −0.150944 + 0.470581i
\(681\) 6.01725 + 3.47406i 0.230581 + 0.133126i
\(682\) −0.0611315 0.0352943i −0.00234085 0.00135149i
\(683\) 3.02507 5.23957i 0.115751 0.200487i −0.802329 0.596882i \(-0.796406\pi\)
0.918080 + 0.396396i \(0.129739\pi\)
\(684\) −3.89488 + 2.24871i −0.148924 + 0.0859815i
\(685\) 0.554471 + 2.56113i 0.0211852 + 0.0978556i
\(686\) −10.8346 6.25536i −0.413667 0.238831i
\(687\) −18.0248 10.4066i −0.687690 0.397038i
\(688\) 0.637017 1.10335i 0.0242861 0.0420647i
\(689\) 14.0865i 0.536654i
\(690\) −2.23319 10.3152i −0.0850160 0.392692i
\(691\) 11.8687 20.5572i 0.451507 0.782034i −0.546973 0.837151i \(-0.684220\pi\)
0.998480 + 0.0551168i \(0.0175531\pi\)
\(692\) 13.5223i 0.514042i
\(693\) 0.241876i 0.00918812i
\(694\) 18.1848 31.4970i 0.690286 1.19561i
\(695\) 2.26572 7.06356i 0.0859438 0.267936i
\(696\) 3.37438 + 5.84460i 0.127906 + 0.221539i
\(697\) 34.1466 1.29339
\(698\) −1.19043 2.06189i −0.0450586 0.0780438i
\(699\) 0.805271 + 1.39477i 0.0304581 + 0.0527550i
\(700\) −4.75764 0.463854i −0.179822 0.0175320i
\(701\) −8.52293 4.92071i −0.321906 0.185853i 0.330336 0.943864i \(-0.392838\pi\)
−0.652242 + 0.758011i \(0.726171\pi\)
\(702\) 1.71765i 0.0648287i
\(703\) 0.877976 27.3426i 0.0331135 1.03125i
\(704\) 0.252998 0.00953523
\(705\) 9.28382 + 10.2330i 0.349649 + 0.385396i
\(706\) 5.59944 + 9.69852i 0.210738 + 0.365008i
\(707\) 10.9632 6.32962i 0.412315 0.238050i
\(708\) 7.52184 + 13.0282i 0.282688 + 0.489630i
\(709\) 2.32525i 0.0873267i −0.999046 0.0436634i \(-0.986097\pi\)
0.999046 0.0436634i \(-0.0139029\pi\)
\(710\) −26.9905 + 5.84330i −1.01293 + 0.219295i
\(711\) 2.55092i 0.0956670i
\(712\) 6.84497 + 3.95194i 0.256526 + 0.148105i
\(713\) 1.31691i 0.0493186i
\(714\) 5.50992 0.206203
\(715\) −0.652918 0.719671i −0.0244177 0.0269142i
\(716\) 3.67031 2.11905i 0.137166 0.0791927i
\(717\) −8.33488 −0.311272
\(718\) 5.56662 9.64167i 0.207744 0.359824i
\(719\) −16.1985 + 28.0566i −0.604102 + 1.04634i 0.388090 + 0.921621i \(0.373135\pi\)
−0.992193 + 0.124714i \(0.960199\pi\)
\(720\) 1.50247 + 1.65608i 0.0559937 + 0.0617183i
\(721\) 8.82240 5.09361i 0.328563 0.189696i
\(722\) 0.613370 + 1.06239i 0.0228273 + 0.0395380i
\(723\) 11.7235 20.3057i 0.436001 0.755176i
\(724\) −4.72246 + 8.17955i −0.175509 + 0.303990i
\(725\) −13.9566 30.7223i −0.518334 1.14100i
\(726\) 10.9360i 0.405873i
\(727\) 1.19340 + 2.06703i 0.0442608 + 0.0766620i 0.887307 0.461179i \(-0.152573\pi\)
−0.843046 + 0.537841i \(0.819240\pi\)
\(728\) −1.42214 0.821073i −0.0527080 0.0304310i
\(729\) −1.00000 −0.0370370
\(730\) 22.8583 + 7.33207i 0.846023 + 0.271372i
\(731\) 3.67130 6.35889i 0.135788 0.235192i
\(732\) 3.97089 0.146768
\(733\) −3.61173 + 2.08523i −0.133402 + 0.0770199i −0.565216 0.824943i \(-0.691207\pi\)
0.431814 + 0.901963i \(0.357874\pi\)
\(734\) 21.0805i 0.778095i
\(735\) −2.87950 13.3006i −0.106212 0.490598i
\(736\) −2.35998 4.08761i −0.0869901 0.150671i
\(737\) 0.131153 0.0757211i 0.00483107 0.00278922i
\(738\) 2.96243 5.13107i 0.109048 0.188877i
\(739\) 16.3015 0.599659 0.299829 0.953993i \(-0.403070\pi\)
0.299829 + 0.953993i \(0.403070\pi\)
\(740\) −13.3790 + 2.44986i −0.491823 + 0.0900586i
\(741\) 7.72500 0.283785
\(742\) −3.92025 + 6.79007i −0.143917 + 0.249271i
\(743\) 6.04362 3.48928i 0.221719 0.128009i −0.385027 0.922905i \(-0.625808\pi\)
0.606746 + 0.794896i \(0.292475\pi\)
\(744\) −0.139504 0.241628i −0.00511447 0.00885852i
\(745\) −12.7365 + 2.75738i −0.466629 + 0.101023i
\(746\) 5.90791i 0.216304i
\(747\) 12.5267 7.23229i 0.458328 0.264616i
\(748\) 1.45810 0.0533133
\(749\) −7.22121 + 12.5075i −0.263857 + 0.457015i
\(750\) −6.67339 8.97028i −0.243678 0.327548i
\(751\) −33.5526 −1.22435 −0.612176 0.790721i \(-0.709706\pi\)
−0.612176 + 0.790721i \(0.709706\pi\)
\(752\) 5.35121 + 3.08952i 0.195139 + 0.112663i
\(753\) −3.17757 5.50371i −0.115797 0.200566i
\(754\) 11.5920i 0.422157i
\(755\) 29.2597 + 32.2512i 1.06487 + 1.17374i
\(756\) 0.478020 0.827955i 0.0173854 0.0301124i
\(757\) −18.3507 + 31.7843i −0.666967 + 1.15522i 0.311781 + 0.950154i \(0.399074\pi\)
−0.978748 + 0.205067i \(0.934259\pi\)
\(758\) −11.0088 19.0677i −0.399856 0.692572i
\(759\) −1.03416 + 0.597071i −0.0375375 + 0.0216723i
\(760\) 7.44807 6.75722i 0.270170 0.245110i
\(761\) 13.3114 23.0559i 0.482536 0.835777i −0.517263 0.855827i \(-0.673049\pi\)
0.999799 + 0.0200493i \(0.00638233\pi\)
\(762\) −1.22769 + 2.12642i −0.0444746 + 0.0770322i
\(763\) −11.7272 −0.424552
\(764\) −12.6094 + 7.28005i −0.456193 + 0.263383i
\(765\) 8.65913 + 9.54442i 0.313072 + 0.345079i
\(766\) 5.96777 0.215624
\(767\) 25.8398i 0.933022i
\(768\) 0.866025 + 0.500000i 0.0312500 + 0.0180422i
\(769\) 20.2744i 0.731112i 0.930789 + 0.365556i \(0.119121\pi\)
−0.930789 + 0.365556i \(0.880879\pi\)
\(770\) 0.114441 + 0.528606i 0.00412415 + 0.0190496i
\(771\) 22.7040i 0.817666i
\(772\) −4.71877 8.17314i −0.169832 0.294158i
\(773\) −18.6843 + 10.7874i −0.672027 + 0.387995i −0.796844 0.604185i \(-0.793499\pi\)
0.124817 + 0.992180i \(0.460166\pi\)
\(774\) −0.637017 1.10335i −0.0228971 0.0396590i
\(775\) 0.576995 + 1.27012i 0.0207263 + 0.0456242i
\(776\) −17.8296 −0.640044