Properties

Label 1110.2.ba.a.529.4
Level $1110$
Weight $2$
Character 1110.529
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 529.4
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.a.619.4

$q$-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 \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

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

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
\(5\) 2.18544 + 0.473136i 0.977358 + 0.211593i
\(6\) 1.00000i 0.408248i
\(7\) 0.827955 + 0.478020i 0.312937 + 0.180675i 0.648240 0.761436i \(-0.275505\pi\)
−0.335303 + 0.942110i \(0.608839\pi\)
\(8\) 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 −0.960197 0.279325i \(-0.909889\pi\)
0.722001 + 0.691892i \(0.243223\pi\)
\(14\) 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 −0.968848 0.247655i \(-0.920340\pi\)
0.269949 0.962875i \(-0.412993\pi\)
\(18\) 0.500000 0.866025i 0.117851 0.204124i
\(19\) 3.89488 + 2.24871i 0.893546 + 0.515889i 0.875101 0.483941i \(-0.160795\pi\)
0.0184451 + 0.999830i \(0.494128\pi\)
\(20\) −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 \(0.215557\pi\)
−0.779336 + 0.626606i \(0.784443\pi\)
\(30\) −0.473136 + 2.18544i −0.0863825 + 0.399005i
\(31\) 0.279008i 0.0501114i −0.999686 0.0250557i \(-0.992024\pi\)
0.999686 0.0250557i \(-0.00797630\pi\)
\(32\) −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 −0.999092 0.0426000i \(-0.986436\pi\)
0.536439 + 0.843939i \(0.319769\pi\)
\(42\) −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 \(0.148809\pi\)
−0.892699 + 0.450654i \(0.851191\pi\)
\(48\) 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 0.0746437 0.997210i \(-0.476218\pi\)
0.900931 + 0.433962i \(0.142885\pi\)
\(54\) −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 0.746759 0.665094i \(-0.231609\pi\)
0.949368 0.314165i \(-0.101725\pi\)
\(60\) 2.12921 0.682971i 0.274880 0.0881712i
\(61\) 3.43889 + 1.98545i 0.440305 + 0.254210i 0.703727 0.710470i \(-0.251518\pi\)
−0.263422 + 0.964681i \(0.584851\pi\)
\(62\) −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 0.531332 0.847164i \(-0.321692\pi\)
−0.468000 + 0.883729i \(0.655025\pi\)
\(68\) 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 −0.222816 0.974861i \(-0.571525\pi\)
0.955662 0.294466i \(-0.0951417\pi\)
\(72\) 0.500000 + 0.866025i 0.0589256 + 0.102062i
\(73\) 10.7356i 1.25650i 0.778011 + 0.628251i \(0.216229\pi\)
−0.778011 + 0.628251i \(0.783771\pi\)
\(74\) 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 0.370550 0.928813i \(-0.379169\pi\)
−0.619100 + 0.785312i \(0.712503\pi\)
\(80\) −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 0.383433 0.923569i \(-0.374742\pi\)
0.991550 + 0.129722i \(0.0414084\pi\)
\(84\) 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 −0.0912324 0.995830i \(-0.529081\pi\)
0.816798 + 0.576924i \(0.195747\pi\)
\(90\) 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 −0.290757 0.956797i \(-0.593907\pi\)
−0.973989 + 0.226596i \(0.927240\pi\)
\(108\) 0.866025 + 0.500000i 0.0833333 + 0.0481125i
\(109\) −10.6230 + 6.13320i −1.01750 + 0.587454i −0.913379 0.407111i \(-0.866536\pi\)
−0.104121 + 0.994565i \(0.533203\pi\)
\(110\) −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 0.914426 0.404754i \(-0.132643\pi\)
−0.807740 + 0.589539i \(0.799310\pi\)
\(114\) −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 −0.591369 0.806401i \(-0.701412\pi\)
0.402679 + 0.915341i \(0.368079\pi\)
\(128\) −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 0.346304 0.938122i \(-0.387436\pi\)
0.985590 + 0.169153i \(0.0541032\pi\)
\(132\) 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 \(-0.984058\pi\)
0.998746 0.0500613i \(-0.0159417\pi\)
\(138\) 4.71996i 0.401790i
\(139\) 1.65873 + 2.87300i 0.140691 + 0.243684i 0.927757 0.373185i \(-0.121734\pi\)
−0.787066 + 0.616869i \(0.788401\pi\)
\(140\) −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 −0.132071 0.991240i \(-0.542163\pi\)
0.924475 0.381244i \(-0.124504\pi\)
\(152\) 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 −0.548915 0.835878i \(-0.684959\pi\)
0.449435 + 0.893313i \(0.351625\pi\)
\(158\) 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 0.661449 0.749990i \(-0.269942\pi\)
−0.980235 + 0.197836i \(0.936609\pi\)
\(164\) −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 0.275133 + 0.961406i \(0.411278\pi\)
−0.970169 + 0.242431i \(0.922055\pi\)
\(168\) −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 −0.874056 0.485826i \(-0.838519\pi\)
−0.0162904 + 0.999867i \(0.505186\pi\)
\(174\) −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 \(-0.949371\pi\)
0.987377 0.158385i \(-0.0506288\pi\)
\(180\) −2.18544 0.473136i −0.162893 0.0352655i
\(181\) −4.72246 + 8.17955i −0.351018 + 0.607981i −0.986428 0.164194i \(-0.947498\pi\)
0.635410 + 0.772175i \(0.280831\pi\)
\(182\) 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 \(0.176596\pi\)
−0.850010 + 0.526766i \(0.823404\pi\)
\(192\) −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 −0.900737 0.434365i \(-0.856973\pi\)
−0.0741971 + 0.997244i \(0.523639\pi\)
\(198\) 0.126499 0.219103i 0.00898990 0.0155710i
\(199\) 3.54416i 0.251239i 0.992079 + 0.125619i \(0.0400918\pi\)
−0.992079 + 0.125619i \(0.959908\pi\)
\(200\) 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 \(0.123702\pi\)
−0.925432 + 0.378913i \(0.876298\pi\)
\(224\) −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 −0.957979 0.286837i \(-0.907396\pi\)
0.727398 + 0.686216i \(0.240729\pi\)
\(228\) 4.49741 0.297849
\(229\) 10.4066 18.0248i 0.687690 1.19111i −0.284894 0.958559i \(-0.591958\pi\)
0.972583 0.232555i \(-0.0747084\pi\)
\(230\) −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 \(0.0168003\pi\)
−0.998607 + 0.0527550i \(0.983200\pi\)
\(234\) 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 −0.248037 0.968751i \(-0.579785\pi\)
0.714944 + 0.699181i \(0.246452\pi\)
\(240\) −0.473136 + 2.18544i −0.0305408 + 0.141069i
\(241\) −20.3057 11.7235i −1.30800 0.755176i −0.326241 0.945287i \(-0.605782\pi\)
−0.981763 + 0.190110i \(0.939115\pi\)
\(242\) 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 \(-0.935722\pi\)
0.979680 0.200566i \(-0.0642783\pi\)
\(252\) −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 −0.965554 0.260203i \(-0.916211\pi\)
0.257435 0.966296i \(-0.417123\pi\)
\(258\) 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 0.899722 0.436464i \(-0.143769\pi\)
0.0718724 + 0.997414i \(0.477103\pi\)
\(264\) −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 0.950545 0.310587i \(-0.100525\pi\)
−0.744248 + 0.667903i \(0.767192\pi\)
\(272\) −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 −0.977548 0.210711i \(-0.932422\pi\)
0.671255 + 0.741226i \(0.265756\pi\)
\(278\) 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 0.0483896 0.998829i \(-0.484591\pi\)
0.889206 + 0.457508i \(0.151258\pi\)
\(282\) −6.17905 −0.367957
\(283\) −1.22946 + 2.12948i −0.0730835 + 0.126584i −0.900251 0.435371i \(-0.856617\pi\)
0.827168 + 0.561955i \(0.189951\pi\)
\(284\) 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 0.00100443 0.999999i \(-0.499680\pi\)
−0.865523 + 0.500870i \(0.833014\pi\)
\(294\) 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 \(0.175555\pi\)
−0.851729 + 0.523983i \(0.824445\pi\)
\(308\) −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 −0.715815 0.698290i \(-0.753945\pi\)
0.246829 + 0.969059i \(0.420611\pi\)
\(312\) 1.48753 0.858827i 0.0842149 0.0486215i
\(313\) −2.40463 4.16495i −0.135918 0.235417i 0.790030 0.613068i \(-0.210065\pi\)
−0.925948 + 0.377652i \(0.876732\pi\)
\(314\) 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 −0.0992854 0.995059i \(-0.531656\pi\)
0.812104 + 0.583513i \(0.198322\pi\)
\(318\) 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 −0.716778 0.697302i \(-0.754384\pi\)
0.245492 + 0.969399i \(0.421050\pi\)
\(332\) 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 0.937489 0.348014i \(-0.113144\pi\)
0.167356 + 0.985897i \(0.446477\pi\)
\(338\) 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 0.832404 0.554169i \(-0.186964\pi\)
−0.896127 + 0.443799i \(0.853631\pi\)
\(350\) 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 0.975685 0.219179i \(-0.0703377\pi\)
−0.677657 + 0.735378i \(0.737004\pi\)
\(354\) 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 −0.0589660 0.998260i \(-0.518780\pi\)
−0.894001 + 0.448064i \(0.852114\pi\)
\(368\) −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 0.626576 0.779361i \(-0.284456\pi\)
−0.361658 + 0.932311i \(0.617789\pi\)
\(374\) −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 −0.997005 0.0773420i \(-0.975357\pi\)
0.431522 0.902102i \(-0.357977\pi\)
\(380\) −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 −0.932135 0.362112i \(-0.882056\pi\)
0.779665 + 0.626197i \(0.215389\pi\)
\(384\) 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 0.341270 0.939965i \(-0.389143\pi\)
−0.643399 + 0.765531i \(0.722476\pi\)
\(390\) −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 \(-0.933186\pi\)
0.978052 0.208363i \(-0.0668135\pi\)
\(398\) 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 \(-0.890767\pi\)
0.941695 0.336469i \(-0.109233\pi\)
\(402\) −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 −0.797561 0.603238i \(-0.793877\pi\)
0.123638 + 0.992327i \(0.460544\pi\)
\(410\) 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 −0.885598 0.464452i \(-0.846251\pi\)
0.0405714 0.999177i \(-0.487082\pi\)
\(420\) 2.08937 + 0.452337i 0.101951 + 0.0220718i
\(421\) 24.6521i 1.20147i 0.799449 + 0.600734i \(0.205125\pi\)
−0.799449 + 0.600734i \(0.794875\pi\)
\(422\) 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 0.531554 0.847024i \(-0.321608\pi\)
−0.467768 + 0.883851i \(0.654942\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 0.749467i 0.0360171i 0.999838 + 0.0180085i \(0.00573261\pi\)
−0.999838 + 0.0180085i \(0.994267\pi\)
\(434\) −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 0.628994 0.777410i \(-0.283467\pi\)
−0.358760 + 0.933430i \(0.616801\pi\)
\(440\) 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 \(-0.736169\pi\)
0.675724 0.737155i \(-0.263831\pi\)
\(444\) 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 −0.453302 0.891357i \(-0.649754\pi\)
−0.998589 + 0.0531078i \(0.983087\pi\)
\(450\) 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 −0.412053 0.911160i \(-0.635188\pi\)
0.995114 0.0987315i \(-0.0314785\pi\)
\(458\) −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 −0.958682 0.284479i \(-0.908180\pi\)
−0.232975 + 0.972483i \(0.574846\pi\)
\(462\) −0.120938 + 0.209471i −0.00562655 + 0.00974548i
\(463\) −10.2303 + 17.7195i −0.475444 + 0.823493i −0.999604 0.0281264i \(-0.991046\pi\)
0.524160 + 0.851620i \(0.324379\pi\)
\(464\) 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 −0.190343 0.981718i \(-0.560960\pi\)
0.755021 + 0.655700i \(0.227627\pi\)
\(480\) 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 0.105260 0.994445i \(-0.466432\pi\)
−0.808584 + 0.588380i \(0.799766\pi\)
\(500\) −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 0.844166 + 0.536083i \(0.180096\pi\)
0.0421784 + 0.999110i \(0.486570\pi\)
\(504\) 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 −0.994813 0.101723i \(-0.967565\pi\)
0.409312 0.912394i \(-0.365769\pi\)
\(510\) 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 0.289310 + 0.957235i \(0.406574\pi\)
−0.973645 + 0.228068i \(0.926759\pi\)
\(522\) 5.84460 + 3.37438i 0.255811 + 0.147693i
\(523\) −2.75025 + 4.76357i −0.120260 + 0.208296i −0.919870 0.392223i \(-0.871706\pi\)
0.799610 + 0.600519i \(0.205039\pi\)
\(524\) 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 \(-0.857649\pi\)
0.901657 0.432452i \(-0.142351\pi\)
\(542\) 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 0.711397 0.702791i \(-0.248063\pi\)
−0.964333 + 0.264692i \(0.914730\pi\)
\(558\) −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 \(0.229406\pi\)
−0.751344 + 0.659911i \(0.770594\pi\)
\(570\) −6.75722 + 7.44807i −0.283029 + 0.311965i
\(571\) −21.1332 36.6037i −0.884395 1.53182i −0.846405 0.532539i \(-0.821238\pi\)
−0.0379900 0.999278i \(-0.512096\pi\)
\(572\) −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 0.914765 0.403987i \(-0.132376\pi\)
−0.807246 + 0.590216i \(0.799043\pi\)
\(578\) 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 −0.134244 0.990948i \(-0.542861\pi\)
0.925309 0.379215i \(-0.123806\pi\)
\(588\) −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 \(-0.639156\pi\)
0.423379 0.905953i \(-0.360844\pi\)
\(594\) −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 −0.993178 0.116610i \(-0.962797\pi\)
0.597576 + 0.801812i \(0.296131\pi\)
\(600\) −2.90838 4.06710i −0.118734 0.166039i
\(601\) 16.6840 + 28.8976i 0.680555 + 1.17876i 0.974812 + 0.223030i \(0.0715947\pi\)
−0.294257 + 0.955726i \(0.595072\pi\)
\(602\) 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 0.986199 0.165563i \(-0.0529440\pi\)
−0.636481 + 0.771292i \(0.719611\pi\)
\(608\) −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 −0.225183 0.974316i \(-0.572298\pi\)
0.731191 + 0.682173i \(0.238965\pi\)
\(614\) 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 −0.231626 0.972805i \(-0.574405\pi\)
0.726661 + 0.686996i \(0.241071\pi\)
\(618\) 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 −0.965347 0.260968i \(-0.915958\pi\)
−0.256668 + 0.966500i \(0.582625\pi\)
\(632\) −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 0.997200 0.0747865i \(-0.0238275\pi\)
−0.563367 + 0.826207i \(0.690494\pi\)
\(642\) 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 −0.444280 0.895888i \(-0.646540\pi\)
0.998002 0.0631867i \(-0.0201264\pi\)
\(648\) −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 −0.0649503 0.997888i \(-0.520689\pi\)
0.896672 0.442696i \(-0.145978\pi\)
\(654\) −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 −0.985633 0.168902i \(-0.945978\pi\)
0.639090 + 0.769132i \(0.279311\pi\)
\(660\) 0.538687 0.172790i 0.0209684 0.00672586i
\(661\) −3.69052 2.13072i −0.143545 0.0828755i 0.426508 0.904484i \(-0.359744\pi\)
−0.570052 + 0.821608i \(0.693077\pi\)
\(662\) 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 −0.134910 0.990858i \(-0.543075\pi\)
−0.925563 + 0.378593i \(0.876408\pi\)
\(674\) 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 \(0.00861694\pi\)
−0.999634 + 0.0270676i \(0.991383\pi\)
\(678\) −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 0.918080 0.396396i \(-0.129739\pi\)
−0.802329 + 0.596882i \(0.796406\pi\)
\(684\) −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 0.998480 0.0551168i \(-0.0175531\pi\)
−0.546973 + 0.837151i \(0.684220\pi\)
\(692\) 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 −0.652242 0.758011i \(-0.726171\pi\)
0.330336 + 0.943864i \(0.392838\pi\)
\(702\) 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 \(0.0139029\pi\)
−0.999046 + 0.0436634i \(0.986097\pi\)
\(710\) −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 −0.992193 0.124714i \(-0.960199\pi\)
0.388090 0.921621i \(-0.373135\pi\)
\(720\) 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 −0.843046 0.537841i \(-0.819240\pi\)
0.887307 + 0.461179i \(0.152573\pi\)
\(728\) −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 0.431814 0.901963i \(-0.357874\pi\)
−0.565216 + 0.824943i \(0.691207\pi\)
\(734\) 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 0.606746 0.794896i \(-0.292475\pi\)
−0.385027 + 0.922905i \(0.625808\pi\)
\(744\) −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 −0.978748 0.205067i \(-0.934259\pi\)
0.311781 0.950154i \(-0.399074\pi\)
\(758\) −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 0.999799 0.0200493i \(-0.00638233\pi\)
−0.517263 + 0.855827i \(0.673049\pi\)
\(762\) −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 \(-0.880879\pi\)
0.930789 0.365556i \(-0.119121\pi\)
\(770\) 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 0.124817 0.992180i \(-0.460166\pi\)
−0.796844 + 0.604185i \(0.793499\pi\)
\(774\) −0.637017 + 1.10335i −0.0228971 + 0.0396590i
\(775\) 0.576995 1.27012i 0.0207263 0.0456242i
\(776\) −17.8296 −0.640044