Properties

Label 1110.2.bb.d.1009.8
Level $1110$
Weight $2$
Character 1110.1009
Analytic conductor $8.863$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 1009.8
Character \(\chi\) \(=\) 1110.1009
Dual form 1110.2.bb.d.1099.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.40108 + 1.74269i) q^{5} +1.00000 q^{6} +(3.36459 - 1.94255i) q^{7} +1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.40108 + 1.74269i) q^{5} +1.00000 q^{6} +(3.36459 - 1.94255i) q^{7} +1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +(0.342030 + 2.20975i) q^{10} -0.297359 q^{11} +(0.866025 + 0.500000i) q^{12} +(-0.273612 + 0.157970i) q^{13} +3.88510 q^{14} +(2.08472 + 0.808671i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.766516 - 0.442548i) q^{17} +(0.866025 - 0.500000i) q^{18} +(1.55178 + 2.68777i) q^{19} +(-0.808671 + 2.08472i) q^{20} +(1.94255 - 3.36459i) q^{21} +(-0.257521 - 0.148680i) q^{22} -7.33518i q^{23} +(0.500000 + 0.866025i) q^{24} +(-1.07393 + 4.88331i) q^{25} -0.315940 q^{26} -1.00000i q^{27} +(3.36459 + 1.94255i) q^{28} -4.88510 q^{29} +(1.40108 + 1.74269i) q^{30} +1.38670 q^{31} +(-0.866025 + 0.500000i) q^{32} +(-0.257521 + 0.148680i) q^{33} +(-0.442548 - 0.766516i) q^{34} +(8.09933 + 3.14176i) q^{35} +1.00000 q^{36} +(-1.88771 + 5.78243i) q^{37} +3.10357i q^{38} +(-0.157970 + 0.273612i) q^{39} +(-1.74269 + 1.40108i) q^{40} +(-6.17993 - 10.7040i) q^{41} +(3.36459 - 1.94255i) q^{42} +7.34477i q^{43} +(-0.148680 - 0.257521i) q^{44} +(2.20975 - 0.342030i) q^{45} +(3.66759 - 6.35245i) q^{46} -5.14536i q^{47} +1.00000i q^{48} +(4.04699 - 7.00959i) q^{49} +(-3.37170 + 3.69210i) q^{50} -0.885096 q^{51} +(-0.273612 - 0.157970i) q^{52} +(4.71160 + 2.72024i) q^{53} +(0.500000 - 0.866025i) q^{54} +(-0.416625 - 0.518205i) q^{55} +(1.94255 + 3.36459i) q^{56} +(2.68777 + 1.55178i) q^{57} +(-4.23062 - 2.44255i) q^{58} +(-6.37254 + 11.0376i) q^{59} +(0.342030 + 2.20975i) q^{60} +(-1.26241 - 2.18655i) q^{61} +(1.20092 + 0.693350i) q^{62} -3.88510i q^{63} -1.00000 q^{64} +(-0.658645 - 0.255491i) q^{65} -0.297359 q^{66} +(0.512438 - 0.295856i) q^{67} -0.885096i q^{68} +(-3.66759 - 6.35245i) q^{69} +(5.44335 + 6.77051i) q^{70} +(-2.61853 - 4.53542i) q^{71} +(0.866025 + 0.500000i) q^{72} +14.4291i q^{73} +(-4.52602 + 4.06388i) q^{74} +(1.51161 + 4.76603i) q^{75} +(-1.55178 + 2.68777i) q^{76} +(-1.00049 + 0.577635i) q^{77} +(-0.273612 + 0.157970i) q^{78} +(1.22680 + 2.12488i) q^{79} +(-2.20975 + 0.342030i) q^{80} +(-0.500000 - 0.866025i) q^{81} -12.3599i q^{82} +(5.62000 + 3.24471i) q^{83} +3.88510 q^{84} +(-0.302730 - 1.95585i) q^{85} +(-3.67239 + 6.36076i) q^{86} +(-4.23062 + 2.44255i) q^{87} -0.297359i q^{88} +(2.65348 - 4.59596i) q^{89} +(2.08472 + 0.808671i) q^{90} +(-0.613728 + 1.06301i) q^{91} +(6.35245 - 3.66759i) q^{92} +(1.20092 - 0.693350i) q^{93} +(2.57268 - 4.45601i) q^{94} +(-2.50977 + 6.47007i) q^{95} +(-0.500000 + 0.866025i) q^{96} -8.87683i q^{97} +(7.00959 - 4.04699i) q^{98} +(-0.148680 + 0.257521i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q + 14q^{4} + 2q^{5} + 28q^{6} + 14q^{9} + O(q^{10}) \) \( 28q + 14q^{4} + 2q^{5} + 28q^{6} + 14q^{9} + 4q^{10} - 12q^{11} + 8q^{14} + 2q^{15} - 14q^{16} - 20q^{19} - 2q^{20} + 4q^{21} + 14q^{24} - 8q^{25} - 20q^{26} - 36q^{29} + 2q^{30} + 24q^{31} + 38q^{34} - 2q^{35} + 28q^{36} - 10q^{39} + 2q^{40} - 6q^{44} + 4q^{45} + 8q^{46} + 50q^{49} - 4q^{50} + 76q^{51} + 14q^{54} - 28q^{55} + 4q^{56} - 26q^{59} + 4q^{60} - 28q^{61} - 28q^{64} + 60q^{65} - 12q^{66} - 8q^{69} - 10q^{70} - 64q^{71} + 24q^{74} - 8q^{75} + 20q^{76} + 32q^{79} - 4q^{80} - 14q^{81} + 8q^{84} + 16q^{85} - 8q^{86} + 76q^{89} + 2q^{90} - 8q^{91} - 38q^{94} - 70q^{95} - 14q^{96} - 6q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 1.40108 + 1.74269i 0.626584 + 0.779354i
\(6\) 1.00000 0.408248
\(7\) 3.36459 1.94255i 1.27170 0.734214i 0.296389 0.955067i \(-0.404217\pi\)
0.975307 + 0.220853i \(0.0708841\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 0.342030 + 2.20975i 0.108159 + 0.698786i
\(11\) −0.297359 −0.0896572 −0.0448286 0.998995i \(-0.514274\pi\)
−0.0448286 + 0.998995i \(0.514274\pi\)
\(12\) 0.866025 + 0.500000i 0.250000 + 0.144338i
\(13\) −0.273612 + 0.157970i −0.0758863 + 0.0438130i −0.537463 0.843287i \(-0.680617\pi\)
0.461577 + 0.887100i \(0.347284\pi\)
\(14\) 3.88510 1.03834
\(15\) 2.08472 + 0.808671i 0.538272 + 0.208798i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −0.766516 0.442548i −0.185907 0.107334i 0.404158 0.914689i \(-0.367565\pi\)
−0.590065 + 0.807356i \(0.700898\pi\)
\(18\) 0.866025 0.500000i 0.204124 0.117851i
\(19\) 1.55178 + 2.68777i 0.356004 + 0.616617i 0.987289 0.158934i \(-0.0508057\pi\)
−0.631285 + 0.775551i \(0.717472\pi\)
\(20\) −0.808671 + 2.08472i −0.180824 + 0.466157i
\(21\) 1.94255 3.36459i 0.423899 0.734214i
\(22\) −0.257521 0.148680i −0.0549036 0.0316986i
\(23\) 7.33518i 1.52949i −0.644333 0.764745i \(-0.722865\pi\)
0.644333 0.764745i \(-0.277135\pi\)
\(24\) 0.500000 + 0.866025i 0.102062 + 0.176777i
\(25\) −1.07393 + 4.88331i −0.214785 + 0.976661i
\(26\) −0.315940 −0.0619609
\(27\) 1.00000i 0.192450i
\(28\) 3.36459 + 1.94255i 0.635848 + 0.367107i
\(29\) −4.88510 −0.907140 −0.453570 0.891221i \(-0.649850\pi\)
−0.453570 + 0.891221i \(0.649850\pi\)
\(30\) 1.40108 + 1.74269i 0.255802 + 0.318170i
\(31\) 1.38670 0.249059 0.124529 0.992216i \(-0.460258\pi\)
0.124529 + 0.992216i \(0.460258\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) −0.257521 + 0.148680i −0.0448286 + 0.0258818i
\(34\) −0.442548 0.766516i −0.0758964 0.131456i
\(35\) 8.09933 + 3.14176i 1.36904 + 0.531055i
\(36\) 1.00000 0.166667
\(37\) −1.88771 + 5.78243i −0.310338 + 0.950626i
\(38\) 3.10357i 0.503465i
\(39\) −0.157970 + 0.273612i −0.0252954 + 0.0438130i
\(40\) −1.74269 + 1.40108i −0.275543 + 0.221531i
\(41\) −6.17993 10.7040i −0.965143 1.67168i −0.709231 0.704976i \(-0.750958\pi\)
−0.255912 0.966700i \(-0.582376\pi\)
\(42\) 3.36459 1.94255i 0.519168 0.299742i
\(43\) 7.34477i 1.12007i 0.828470 + 0.560034i \(0.189212\pi\)
−0.828470 + 0.560034i \(0.810788\pi\)
\(44\) −0.148680 0.257521i −0.0224143 0.0388227i
\(45\) 2.20975 0.342030i 0.329411 0.0509868i
\(46\) 3.66759 6.35245i 0.540756 0.936617i
\(47\) 5.14536i 0.750528i −0.926918 0.375264i \(-0.877552\pi\)
0.926918 0.375264i \(-0.122448\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 4.04699 7.00959i 0.578141 1.00137i
\(50\) −3.37170 + 3.69210i −0.476831 + 0.522142i
\(51\) −0.885096 −0.123938
\(52\) −0.273612 0.157970i −0.0379431 0.0219065i
\(53\) 4.71160 + 2.72024i 0.647187 + 0.373654i 0.787378 0.616471i \(-0.211438\pi\)
−0.140190 + 0.990125i \(0.544771\pi\)
\(54\) 0.500000 0.866025i 0.0680414 0.117851i
\(55\) −0.416625 0.518205i −0.0561778 0.0698747i
\(56\) 1.94255 + 3.36459i 0.259584 + 0.449613i
\(57\) 2.68777 + 1.55178i 0.356004 + 0.205539i
\(58\) −4.23062 2.44255i −0.555507 0.320722i
\(59\) −6.37254 + 11.0376i −0.829634 + 1.43697i 0.0686908 + 0.997638i \(0.478118\pi\)
−0.898325 + 0.439331i \(0.855216\pi\)
\(60\) 0.342030 + 2.20975i 0.0441559 + 0.285278i
\(61\) −1.26241 2.18655i −0.161635 0.279960i 0.773820 0.633405i \(-0.218343\pi\)
−0.935455 + 0.353446i \(0.885010\pi\)
\(62\) 1.20092 + 0.693350i 0.152517 + 0.0880556i
\(63\) 3.88510i 0.489476i
\(64\) −1.00000 −0.125000
\(65\) −0.658645 0.255491i −0.0816949 0.0316898i
\(66\) −0.297359 −0.0366024
\(67\) 0.512438 0.295856i 0.0626042 0.0361446i −0.468371 0.883532i \(-0.655159\pi\)
0.530975 + 0.847387i \(0.321826\pi\)
\(68\) 0.885096i 0.107334i
\(69\) −3.66759 6.35245i −0.441526 0.764745i
\(70\) 5.44335 + 6.77051i 0.650604 + 0.809231i
\(71\) −2.61853 4.53542i −0.310762 0.538256i 0.667766 0.744372i \(-0.267251\pi\)
−0.978528 + 0.206116i \(0.933918\pi\)
\(72\) 0.866025 + 0.500000i 0.102062 + 0.0589256i
\(73\) 14.4291i 1.68880i 0.535710 + 0.844402i \(0.320044\pi\)
−0.535710 + 0.844402i \(0.679956\pi\)
\(74\) −4.52602 + 4.06388i −0.526139 + 0.472417i
\(75\) 1.51161 + 4.76603i 0.174545 + 0.550334i
\(76\) −1.55178 + 2.68777i −0.178002 + 0.308308i
\(77\) −1.00049 + 0.577635i −0.114017 + 0.0658276i
\(78\) −0.273612 + 0.157970i −0.0309804 + 0.0178866i
\(79\) 1.22680 + 2.12488i 0.138026 + 0.239067i 0.926749 0.375681i \(-0.122591\pi\)
−0.788724 + 0.614748i \(0.789258\pi\)
\(80\) −2.20975 + 0.342030i −0.247058 + 0.0382401i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 12.3599i 1.36492i
\(83\) 5.62000 + 3.24471i 0.616875 + 0.356153i 0.775651 0.631162i \(-0.217422\pi\)
−0.158777 + 0.987315i \(0.550755\pi\)
\(84\) 3.88510 0.423899
\(85\) −0.302730 1.95585i −0.0328356 0.212141i
\(86\) −3.67239 + 6.36076i −0.396004 + 0.685898i
\(87\) −4.23062 + 2.44255i −0.453570 + 0.261869i
\(88\) 0.297359i 0.0316986i
\(89\) 2.65348 4.59596i 0.281268 0.487171i −0.690429 0.723400i \(-0.742578\pi\)
0.971697 + 0.236229i \(0.0759116\pi\)
\(90\) 2.08472 + 0.808671i 0.219749 + 0.0852414i
\(91\) −0.613728 + 1.06301i −0.0643362 + 0.111434i
\(92\) 6.35245 3.66759i 0.662288 0.382372i
\(93\) 1.20092 0.693350i 0.124529 0.0718971i
\(94\) 2.57268 4.45601i 0.265352 0.459603i
\(95\) −2.50977 + 6.47007i −0.257496 + 0.663815i
\(96\) −0.500000 + 0.866025i −0.0510310 + 0.0883883i
\(97\) 8.87683i 0.901306i −0.892699 0.450653i \(-0.851191\pi\)
0.892699 0.450653i \(-0.148809\pi\)
\(98\) 7.00959 4.04699i 0.708075 0.408807i
\(99\) −0.148680 + 0.257521i −0.0149429 + 0.0258818i
\(100\) −4.76603 + 1.51161i −0.476603 + 0.151161i
\(101\) −7.05378 −0.701877 −0.350939 0.936398i \(-0.614137\pi\)
−0.350939 + 0.936398i \(0.614137\pi\)
\(102\) −0.766516 0.442548i −0.0758964 0.0438188i
\(103\) 5.94035i 0.585320i 0.956217 + 0.292660i \(0.0945404\pi\)
−0.956217 + 0.292660i \(0.905460\pi\)
\(104\) −0.157970 0.273612i −0.0154902 0.0268298i
\(105\) 8.58511 1.32882i 0.837821 0.129680i
\(106\) 2.72024 + 4.71160i 0.264213 + 0.457631i
\(107\) 11.9668 6.90904i 1.15688 0.667922i 0.206322 0.978484i \(-0.433850\pi\)
0.950553 + 0.310562i \(0.100517\pi\)
\(108\) 0.866025 0.500000i 0.0833333 0.0481125i
\(109\) 3.08116 5.33672i 0.295121 0.511165i −0.679892 0.733313i \(-0.737973\pi\)
0.975013 + 0.222147i \(0.0713065\pi\)
\(110\) −0.101706 0.657091i −0.00969727 0.0626512i
\(111\) 1.25641 + 5.95159i 0.119253 + 0.564900i
\(112\) 3.88510i 0.367107i
\(113\) 3.83100 + 2.21183i 0.360390 + 0.208071i 0.669252 0.743036i \(-0.266615\pi\)
−0.308862 + 0.951107i \(0.599948\pi\)
\(114\) 1.55178 + 2.68777i 0.145338 + 0.251733i
\(115\) 12.7829 10.2772i 1.19201 0.958354i
\(116\) −2.44255 4.23062i −0.226785 0.392803i
\(117\) 0.315940i 0.0292086i
\(118\) −11.0376 + 6.37254i −1.01609 + 0.586640i
\(119\) −3.43868 −0.315224
\(120\) −0.808671 + 2.08472i −0.0738212 + 0.190308i
\(121\) −10.9116 −0.991962
\(122\) 2.52482i 0.228586i
\(123\) −10.7040 6.17993i −0.965143 0.557225i
\(124\) 0.693350 + 1.20092i 0.0622647 + 0.107846i
\(125\) −10.0147 + 4.97040i −0.895746 + 0.444566i
\(126\) 1.94255 3.36459i 0.173056 0.299742i
\(127\) −9.86467 5.69537i −0.875348 0.505382i −0.00622607 0.999981i \(-0.501982\pi\)
−0.869122 + 0.494598i \(0.835315\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) 3.67239 + 6.36076i 0.323336 + 0.560034i
\(130\) −0.442658 0.550585i −0.0388237 0.0482895i
\(131\) −7.22034 + 12.5060i −0.630844 + 1.09265i 0.356535 + 0.934282i \(0.383958\pi\)
−0.987379 + 0.158372i \(0.949375\pi\)
\(132\) −0.257521 0.148680i −0.0224143 0.0129409i
\(133\) 10.4422 + 6.02883i 0.905457 + 0.522766i
\(134\) 0.591712 0.0511161
\(135\) 1.74269 1.40108i 0.149987 0.120586i
\(136\) 0.442548 0.766516i 0.0379482 0.0657282i
\(137\) 14.0285i 1.19854i −0.800548 0.599269i \(-0.795458\pi\)
0.800548 0.599269i \(-0.204542\pi\)
\(138\) 7.33518i 0.624412i
\(139\) 9.79333 16.9625i 0.830659 1.43874i −0.0668571 0.997763i \(-0.521297\pi\)
0.897516 0.440981i \(-0.145370\pi\)
\(140\) 1.32882 + 8.58511i 0.112306 + 0.725574i
\(141\) −2.57268 4.45601i −0.216659 0.375264i
\(142\) 5.23705i 0.439484i
\(143\) 0.0813610 0.0469738i 0.00680375 0.00392815i
\(144\) 0.500000 + 0.866025i 0.0416667 + 0.0721688i
\(145\) −6.84443 8.51320i −0.568399 0.706983i
\(146\) −7.21457 + 12.4960i −0.597082 + 1.03418i
\(147\) 8.09397i 0.667580i
\(148\) −5.95159 + 1.25641i −0.489218 + 0.103277i
\(149\) 4.89601 0.401097 0.200548 0.979684i \(-0.435728\pi\)
0.200548 + 0.979684i \(0.435728\pi\)
\(150\) −1.07393 + 4.88331i −0.0876858 + 0.398720i
\(151\) −2.85747 4.94928i −0.232538 0.402767i 0.726017 0.687677i \(-0.241370\pi\)
−0.958554 + 0.284910i \(0.908036\pi\)
\(152\) −2.68777 + 1.55178i −0.218007 + 0.125866i
\(153\) −0.766516 + 0.442548i −0.0619691 + 0.0357779i
\(154\) −1.15527 −0.0930943
\(155\) 1.94288 + 2.41659i 0.156056 + 0.194105i
\(156\) −0.315940 −0.0252954
\(157\) 0.444121 + 0.256413i 0.0354447 + 0.0204640i 0.517618 0.855612i \(-0.326819\pi\)
−0.482173 + 0.876076i \(0.660152\pi\)
\(158\) 2.45360i 0.195198i
\(159\) 5.44048 0.431458
\(160\) −2.08472 0.808671i −0.164811 0.0639310i
\(161\) −14.2489 24.6799i −1.12297 1.94505i
\(162\) 1.00000i 0.0785674i
\(163\) −4.81112 2.77770i −0.376836 0.217566i 0.299605 0.954063i \(-0.403145\pi\)
−0.676441 + 0.736497i \(0.736479\pi\)
\(164\) 6.17993 10.7040i 0.482571 0.835838i
\(165\) −0.619910 0.240466i −0.0482600 0.0187202i
\(166\) 3.24471 + 5.62000i 0.251838 + 0.436196i
\(167\) 4.57289 2.64016i 0.353861 0.204302i −0.312524 0.949910i \(-0.601174\pi\)
0.666384 + 0.745608i \(0.267841\pi\)
\(168\) 3.36459 + 1.94255i 0.259584 + 0.149871i
\(169\) −6.45009 + 11.1719i −0.496161 + 0.859376i
\(170\) 0.715751 1.84518i 0.0548956 0.141519i
\(171\) 3.10357 0.237336
\(172\) −6.36076 + 3.67239i −0.485003 + 0.280017i
\(173\) −18.4308 10.6410i −1.40127 0.809022i −0.406745 0.913542i \(-0.633336\pi\)
−0.994523 + 0.104520i \(0.966669\pi\)
\(174\) −4.88510 −0.370338
\(175\) 5.87273 + 18.5165i 0.443937 + 1.39971i
\(176\) 0.148680 0.257521i 0.0112071 0.0194114i
\(177\) 12.7451i 0.957979i
\(178\) 4.59596 2.65348i 0.344482 0.198887i
\(179\) −18.3439 −1.37109 −0.685544 0.728032i \(-0.740435\pi\)
−0.685544 + 0.728032i \(0.740435\pi\)
\(180\) 1.40108 + 1.74269i 0.104431 + 0.129892i
\(181\) 7.21545 + 12.4975i 0.536320 + 0.928934i 0.999098 + 0.0424598i \(0.0135194\pi\)
−0.462778 + 0.886474i \(0.653147\pi\)
\(182\) −1.06301 + 0.613728i −0.0787954 + 0.0454926i
\(183\) −2.18655 1.26241i −0.161635 0.0933199i
\(184\) 7.33518 0.540756
\(185\) −12.7218 + 4.81199i −0.935327 + 0.353784i
\(186\) 1.38670 0.101678
\(187\) 0.227931 + 0.131596i 0.0166679 + 0.00962324i
\(188\) 4.45601 2.57268i 0.324988 0.187632i
\(189\) −1.94255 3.36459i −0.141300 0.244738i
\(190\) −5.40855 + 4.34836i −0.392378 + 0.315463i
\(191\) 6.95331 0.503124 0.251562 0.967841i \(-0.419056\pi\)
0.251562 + 0.967841i \(0.419056\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) 24.4671i 1.76118i −0.473877 0.880591i \(-0.657146\pi\)
0.473877 0.880591i \(-0.342854\pi\)
\(194\) 4.43842 7.68756i 0.318660 0.551935i
\(195\) −0.698149 + 0.108061i −0.0499955 + 0.00773840i
\(196\) 8.09397 0.578141
\(197\) −18.9041 10.9143i −1.34686 0.777609i −0.359055 0.933317i \(-0.616901\pi\)
−0.987803 + 0.155708i \(0.950234\pi\)
\(198\) −0.257521 + 0.148680i −0.0183012 + 0.0105662i
\(199\) −9.32319 −0.660903 −0.330452 0.943823i \(-0.607201\pi\)
−0.330452 + 0.943823i \(0.607201\pi\)
\(200\) −4.88331 1.07393i −0.345302 0.0759381i
\(201\) 0.295856 0.512438i 0.0208681 0.0361446i
\(202\) −6.10875 3.52689i −0.429810 0.248151i
\(203\) −16.4364 + 9.48953i −1.15361 + 0.666035i
\(204\) −0.442548 0.766516i −0.0309846 0.0536668i
\(205\) 9.99505 25.7668i 0.698085 1.79963i
\(206\) −2.97017 + 5.14449i −0.206942 + 0.358434i
\(207\) −6.35245 3.66759i −0.441526 0.254915i
\(208\) 0.315940i 0.0219065i
\(209\) −0.461438 0.799233i −0.0319183 0.0552841i
\(210\) 8.09933 + 3.14176i 0.558907 + 0.216802i
\(211\) 5.22728 0.359861 0.179930 0.983679i \(-0.442413\pi\)
0.179930 + 0.983679i \(0.442413\pi\)
\(212\) 5.44048i 0.373654i
\(213\) −4.53542 2.61853i −0.310762 0.179419i
\(214\) 13.8181 0.944585
\(215\) −12.7997 + 10.2906i −0.872929 + 0.701816i
\(216\) 1.00000 0.0680414
\(217\) 4.66568 2.69373i 0.316727 0.182863i
\(218\) 5.33672 3.08116i 0.361449 0.208682i
\(219\) 7.21457 + 12.4960i 0.487516 + 0.844402i
\(220\) 0.240466 0.619910i 0.0162122 0.0417944i
\(221\) 0.279637 0.0188104
\(222\) −1.88771 + 5.78243i −0.126695 + 0.388092i
\(223\) 14.3590i 0.961551i 0.876844 + 0.480776i \(0.159645\pi\)
−0.876844 + 0.480776i \(0.840355\pi\)
\(224\) −1.94255 + 3.36459i −0.129792 + 0.224806i
\(225\) 3.69210 + 3.37170i 0.246140 + 0.224780i
\(226\) 2.21183 + 3.83100i 0.147129 + 0.254834i
\(227\) −4.35717 + 2.51561i −0.289195 + 0.166967i −0.637579 0.770385i \(-0.720064\pi\)
0.348384 + 0.937352i \(0.386731\pi\)
\(228\) 3.10357i 0.205539i
\(229\) 1.24438 + 2.15533i 0.0822309 + 0.142428i 0.904208 0.427093i \(-0.140462\pi\)
−0.821977 + 0.569521i \(0.807129\pi\)
\(230\) 16.2089 2.50885i 1.06879 0.165429i
\(231\) −0.577635 + 1.00049i −0.0380056 + 0.0658276i
\(232\) 4.88510i 0.320722i
\(233\) 23.9097i 1.56638i 0.621785 + 0.783188i \(0.286408\pi\)
−0.621785 + 0.783188i \(0.713592\pi\)
\(234\) −0.157970 + 0.273612i −0.0103268 + 0.0178866i
\(235\) 8.96676 7.20908i 0.584927 0.470269i
\(236\) −12.7451 −0.829634
\(237\) 2.12488 + 1.22680i 0.138026 + 0.0796891i
\(238\) −2.97799 1.71934i −0.193034 0.111448i
\(239\) −14.9600 + 25.9114i −0.967679 + 1.67607i −0.265442 + 0.964127i \(0.585518\pi\)
−0.702237 + 0.711943i \(0.747815\pi\)
\(240\) −1.74269 + 1.40108i −0.112490 + 0.0904396i
\(241\) 6.46707 + 11.2013i 0.416580 + 0.721538i 0.995593 0.0937802i \(-0.0298951\pi\)
−0.579013 + 0.815319i \(0.696562\pi\)
\(242\) −9.44970 5.45579i −0.607450 0.350711i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 1.26241 2.18655i 0.0808174 0.139980i
\(245\) 17.8857 2.76838i 1.14267 0.176865i
\(246\) −6.17993 10.7040i −0.394018 0.682459i
\(247\) −0.849173 0.490270i −0.0540316 0.0311952i
\(248\) 1.38670i 0.0880556i
\(249\) 6.48941 0.411250
\(250\) −11.1582 0.702877i −0.705708 0.0444538i
\(251\) −11.5353 −0.728100 −0.364050 0.931379i \(-0.618606\pi\)
−0.364050 + 0.931379i \(0.618606\pi\)
\(252\) 3.36459 1.94255i 0.211949 0.122369i
\(253\) 2.18118i 0.137130i
\(254\) −5.69537 9.86467i −0.357359 0.618964i
\(255\) −1.24009 1.54245i −0.0776577 0.0965918i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −8.97268 5.18038i −0.559701 0.323143i 0.193325 0.981135i \(-0.438073\pi\)
−0.753025 + 0.657992i \(0.771406\pi\)
\(258\) 7.34477i 0.457266i
\(259\) 4.88129 + 23.1225i 0.303308 + 1.43676i
\(260\) −0.108061 0.698149i −0.00670165 0.0432974i
\(261\) −2.44255 + 4.23062i −0.151190 + 0.261869i
\(262\) −12.5060 + 7.22034i −0.772623 + 0.446074i
\(263\) −2.92053 + 1.68617i −0.180088 + 0.103974i −0.587334 0.809345i \(-0.699822\pi\)
0.407246 + 0.913318i \(0.366489\pi\)
\(264\) −0.148680 0.257521i −0.00915060 0.0158493i
\(265\) 1.86081 + 12.0221i 0.114309 + 0.738513i
\(266\) 6.02883 + 10.4422i 0.369651 + 0.640255i
\(267\) 5.30696i 0.324780i
\(268\) 0.512438 + 0.295856i 0.0313021 + 0.0180723i
\(269\) 13.5925 0.828752 0.414376 0.910106i \(-0.364000\pi\)
0.414376 + 0.910106i \(0.364000\pi\)
\(270\) 2.20975 0.342030i 0.134481 0.0208153i
\(271\) 5.79573 10.0385i 0.352066 0.609796i −0.634546 0.772885i \(-0.718813\pi\)
0.986611 + 0.163090i \(0.0521460\pi\)
\(272\) 0.766516 0.442548i 0.0464768 0.0268334i
\(273\) 1.22746i 0.0742890i
\(274\) 7.01426 12.1491i 0.423747 0.733951i
\(275\) 0.319342 1.45210i 0.0192571 0.0875647i
\(276\) 3.66759 6.35245i 0.220763 0.382372i
\(277\) 13.0002 7.50570i 0.781109 0.450974i −0.0557140 0.998447i \(-0.517743\pi\)
0.836823 + 0.547473i \(0.184410\pi\)
\(278\) 16.9625 9.79333i 1.01735 0.587365i
\(279\) 0.693350 1.20092i 0.0415098 0.0718971i
\(280\) −3.14176 + 8.09933i −0.187756 + 0.484028i
\(281\) 10.4127 18.0352i 0.621167 1.07589i −0.368102 0.929785i \(-0.619992\pi\)
0.989269 0.146107i \(-0.0466744\pi\)
\(282\) 5.14536i 0.306402i
\(283\) −6.88151 + 3.97304i −0.409063 + 0.236173i −0.690387 0.723440i \(-0.742560\pi\)
0.281324 + 0.959613i \(0.409226\pi\)
\(284\) 2.61853 4.53542i 0.155381 0.269128i
\(285\) 1.06151 + 6.85813i 0.0628787 + 0.406240i
\(286\) 0.0939476 0.00555524
\(287\) −41.5859 24.0096i −2.45474 1.41724i
\(288\) 1.00000i 0.0589256i
\(289\) −8.10830 14.0440i −0.476959 0.826117i
\(290\) −1.67085 10.7949i −0.0981157 0.633896i
\(291\) −4.43842 7.68756i −0.260185 0.450653i
\(292\) −12.4960 + 7.21457i −0.731274 + 0.422201i
\(293\) 16.9408 9.78077i 0.989692 0.571399i 0.0845098 0.996423i \(-0.473068\pi\)
0.905182 + 0.425024i \(0.139734\pi\)
\(294\) 4.04699 7.00959i 0.236025 0.408807i
\(295\) −28.1635 + 4.35920i −1.63974 + 0.253803i
\(296\) −5.78243 1.88771i −0.336097 0.109721i
\(297\) 0.297359i 0.0172545i
\(298\) 4.24007 + 2.44800i 0.245621 + 0.141809i
\(299\) 1.15874 + 2.00699i 0.0670115 + 0.116067i
\(300\) −3.37170 + 3.69210i −0.194665 + 0.213164i
\(301\) 14.2676 + 24.7122i 0.822369 + 1.42439i
\(302\) 5.71494i 0.328858i
\(303\) −6.10875 + 3.52689i −0.350939 + 0.202615i
\(304\) −3.10357 −0.178002
\(305\) 2.04174 5.26353i 0.116910 0.301389i
\(306\) −0.885096 −0.0505976
\(307\) 7.16588i 0.408978i 0.978869 + 0.204489i \(0.0655533\pi\)
−0.978869 + 0.204489i \(0.934447\pi\)
\(308\) −1.00049 0.577635i −0.0570084 0.0329138i
\(309\) 2.97017 + 5.14449i 0.168967 + 0.292660i
\(310\) 0.474294 + 3.06427i 0.0269381 + 0.174039i
\(311\) 12.7074 22.0099i 0.720571 1.24807i −0.240200 0.970723i \(-0.577213\pi\)
0.960771 0.277343i \(-0.0894537\pi\)
\(312\) −0.273612 0.157970i −0.0154902 0.00894328i
\(313\) 2.73391 + 1.57843i 0.154530 + 0.0892179i 0.575271 0.817963i \(-0.304897\pi\)
−0.420741 + 0.907181i \(0.638230\pi\)
\(314\) 0.256413 + 0.444121i 0.0144702 + 0.0250632i
\(315\) 6.77051 5.44335i 0.381475 0.306698i
\(316\) −1.22680 + 2.12488i −0.0690128 + 0.119534i
\(317\) −4.88564 2.82073i −0.274405 0.158428i 0.356483 0.934302i \(-0.383976\pi\)
−0.630888 + 0.775874i \(0.717309\pi\)
\(318\) 4.71160 + 2.72024i 0.264213 + 0.152544i
\(319\) 1.45263 0.0813316
\(320\) −1.40108 1.74269i −0.0783230 0.0974193i
\(321\) 6.90904 11.9668i 0.385625 0.667922i
\(322\) 28.4979i 1.58812i
\(323\) 2.74696i 0.152845i
\(324\) 0.500000 0.866025i 0.0277778 0.0481125i
\(325\) −0.477576 1.50578i −0.0264912 0.0835256i
\(326\) −2.77770 4.81112i −0.153843 0.266463i
\(327\) 6.16232i 0.340777i
\(328\) 10.7040 6.17993i 0.591027 0.341230i
\(329\) −9.99511 17.3120i −0.551048 0.954444i
\(330\) −0.416625 0.518205i −0.0229345 0.0285262i
\(331\) −1.01400 + 1.75630i −0.0557346 + 0.0965351i −0.892547 0.450955i \(-0.851083\pi\)
0.836812 + 0.547490i \(0.184417\pi\)
\(332\) 6.48941i 0.356153i
\(333\) 4.06388 + 4.52602i 0.222699 + 0.248024i
\(334\) 5.28032 0.288926
\(335\) 1.23355 + 0.478500i 0.0673962 + 0.0261433i
\(336\) 1.94255 + 3.36459i 0.105975 + 0.183554i
\(337\) 27.6085 15.9398i 1.50393 0.868294i 0.503939 0.863739i \(-0.331884\pi\)
0.999990 0.00455466i \(-0.00144980\pi\)
\(338\) −11.1719 + 6.45009i −0.607670 + 0.350839i
\(339\) 4.42366 0.240260
\(340\) 1.54245 1.24009i 0.0836509 0.0672535i
\(341\) −0.412348 −0.0223299
\(342\) 2.68777 + 1.55178i 0.145338 + 0.0839109i
\(343\) 4.25019i 0.229488i
\(344\) −7.34477 −0.396004
\(345\) 5.93174 15.2918i 0.319354 0.823282i
\(346\) −10.6410 18.4308i −0.572065 0.990846i
\(347\) 8.51155i 0.456924i −0.973553 0.228462i \(-0.926630\pi\)
0.973553 0.228462i \(-0.0733696\pi\)
\(348\) −4.23062 2.44255i −0.226785 0.130934i
\(349\) −7.55902 + 13.0926i −0.404625 + 0.700831i −0.994278 0.106826i \(-0.965931\pi\)
0.589653 + 0.807657i \(0.299265\pi\)
\(350\) −4.17231 + 18.9721i −0.223019 + 1.01410i
\(351\) 0.157970 + 0.273612i 0.00843181 + 0.0146043i
\(352\) 0.257521 0.148680i 0.0137259 0.00792465i
\(353\) 22.8657 + 13.2015i 1.21702 + 0.702645i 0.964279 0.264890i \(-0.0853358\pi\)
0.252738 + 0.967535i \(0.418669\pi\)
\(354\) −6.37254 + 11.0376i −0.338697 + 0.586640i
\(355\) 4.23505 10.9178i 0.224773 0.579456i
\(356\) 5.30696 0.281268
\(357\) −2.97799 + 1.71934i −0.157612 + 0.0909972i
\(358\) −15.8863 9.17195i −0.839616 0.484752i
\(359\) −15.8538 −0.836730 −0.418365 0.908279i \(-0.637397\pi\)
−0.418365 + 0.908279i \(0.637397\pi\)
\(360\) 0.342030 + 2.20975i 0.0180266 + 0.116464i
\(361\) 4.68393 8.11280i 0.246523 0.426990i
\(362\) 14.4309i 0.758472i
\(363\) −9.44970 + 5.45579i −0.495981 + 0.286355i
\(364\) −1.22746 −0.0643362
\(365\) −25.1455 + 20.2164i −1.31618 + 1.05818i
\(366\) −1.26241 2.18655i −0.0659871 0.114293i
\(367\) 24.6085 14.2077i 1.28455 0.741637i 0.306876 0.951749i \(-0.400716\pi\)
0.977677 + 0.210112i \(0.0673828\pi\)
\(368\) 6.35245 + 3.66759i 0.331144 + 0.191186i
\(369\) −12.3599 −0.643429
\(370\) −13.4234 2.19361i −0.697850 0.114040i
\(371\) 21.1368 1.09737
\(372\) 1.20092 + 0.693350i 0.0622647 + 0.0359485i
\(373\) −4.25045 + 2.45400i −0.220080 + 0.127063i −0.605987 0.795474i \(-0.707222\pi\)
0.385907 + 0.922538i \(0.373888\pi\)
\(374\) 0.131596 + 0.227931i 0.00680466 + 0.0117860i
\(375\) −6.18782 + 9.31187i −0.319538 + 0.480863i
\(376\) 5.14536 0.265352
\(377\) 1.33662 0.771698i 0.0688394 0.0397445i
\(378\) 3.88510i 0.199828i
\(379\) −10.9001 + 18.8795i −0.559899 + 0.969773i 0.437605 + 0.899167i \(0.355827\pi\)
−0.997504 + 0.0706062i \(0.977507\pi\)
\(380\) −6.85813 + 1.06151i −0.351814 + 0.0544545i
\(381\) −11.3907 −0.583565
\(382\) 6.02174 + 3.47665i 0.308099 + 0.177881i
\(383\) 18.7573 10.8295i 0.958453 0.553363i 0.0627565 0.998029i \(-0.480011\pi\)
0.895697 + 0.444666i \(0.146678\pi\)
\(384\) −1.00000 −0.0510310
\(385\) −2.40841 0.934232i −0.122744 0.0476129i
\(386\) 12.2336 21.1891i 0.622672 1.07850i
\(387\) 6.36076 + 3.67239i 0.323336 + 0.186678i
\(388\) 7.68756 4.43842i 0.390277 0.225326i
\(389\) 10.1405 + 17.5639i 0.514144 + 0.890524i 0.999865 + 0.0164099i \(0.00522367\pi\)
−0.485721 + 0.874114i \(0.661443\pi\)
\(390\) −0.658645 0.255491i −0.0333518 0.0129373i
\(391\) −3.24617 + 5.62253i −0.164166 + 0.284343i
\(392\) 7.00959 + 4.04699i 0.354038 + 0.204404i
\(393\) 14.4407i 0.728436i
\(394\) −10.9143 18.9041i −0.549852 0.952372i
\(395\) −1.98415 + 5.11506i −0.0998335 + 0.257367i
\(396\) −0.297359 −0.0149429
\(397\) 12.4857i 0.626638i −0.949648 0.313319i \(-0.898559\pi\)
0.949648 0.313319i \(-0.101441\pi\)
\(398\) −8.07412 4.66159i −0.404719 0.233665i
\(399\) 12.0577 0.603638
\(400\) −3.69210 3.37170i −0.184605 0.168585i
\(401\) −4.29869 −0.214667 −0.107333 0.994223i \(-0.534231\pi\)
−0.107333 + 0.994223i \(0.534231\pi\)
\(402\) 0.512438 0.295856i 0.0255581 0.0147560i
\(403\) −0.379418 + 0.219057i −0.0189001 + 0.0109120i
\(404\) −3.52689 6.10875i −0.175469 0.303922i
\(405\) 0.808671 2.08472i 0.0401832 0.103591i
\(406\) −18.9791 −0.941915
\(407\) 0.561328 1.71946i 0.0278240 0.0852305i
\(408\) 0.885096i 0.0438188i
\(409\) 2.94848 5.10692i 0.145793 0.252521i −0.783876 0.620918i \(-0.786760\pi\)
0.929668 + 0.368397i \(0.120093\pi\)
\(410\) 21.5394 17.3172i 1.06375 0.855236i
\(411\) −7.01426 12.1491i −0.345988 0.599269i
\(412\) −5.14449 + 2.97017i −0.253451 + 0.146330i
\(413\) 49.5159i 2.43652i
\(414\) −3.66759 6.35245i −0.180252 0.312206i
\(415\) 2.21957 + 14.3400i 0.108955 + 0.703923i
\(416\) 0.157970 0.273612i 0.00774511 0.0134149i
\(417\) 19.5867i 0.959163i
\(418\) 0.922875i 0.0451393i
\(419\) 5.97334 10.3461i 0.291817 0.505441i −0.682423 0.730958i \(-0.739074\pi\)
0.974239 + 0.225517i \(0.0724070\pi\)
\(420\) 5.44335 + 6.77051i 0.265608 + 0.330367i
\(421\) 30.2064 1.47217 0.736086 0.676888i \(-0.236672\pi\)
0.736086 + 0.676888i \(0.236672\pi\)
\(422\) 4.52695 + 2.61364i 0.220369 + 0.127230i
\(423\) −4.45601 2.57268i −0.216659 0.125088i
\(424\) −2.72024 + 4.71160i −0.132107 + 0.228815i
\(425\) 2.98428 3.26787i 0.144759 0.158515i
\(426\) −2.61853 4.53542i −0.126868 0.219742i
\(427\) −8.49497 4.90458i −0.411101 0.237349i
\(428\) 11.9668 + 6.90904i 0.578438 + 0.333961i
\(429\) 0.0469738 0.0813610i 0.00226792 0.00392815i
\(430\) −16.2301 + 2.51213i −0.782687 + 0.121146i
\(431\) 10.9678 + 18.9968i 0.528300 + 0.915042i 0.999456 + 0.0329922i \(0.0105037\pi\)
−0.471156 + 0.882050i \(0.656163\pi\)
\(432\) 0.866025 + 0.500000i 0.0416667 + 0.0240563i
\(433\) 41.5595i 1.99722i −0.0526686 0.998612i \(-0.516773\pi\)
0.0526686 0.998612i \(-0.483227\pi\)
\(434\) 5.38747 0.258607
\(435\) −10.1841 3.95043i −0.488288 0.189409i
\(436\) 6.16232 0.295121
\(437\) 19.7153 11.3826i 0.943109 0.544504i
\(438\) 14.4291i 0.689451i
\(439\) 11.2929 + 19.5599i 0.538982 + 0.933543i 0.998959 + 0.0456130i \(0.0145241\pi\)
−0.459978 + 0.887931i \(0.652143\pi\)
\(440\) 0.518205 0.416625i 0.0247044 0.0198618i
\(441\) −4.04699 7.00959i −0.192714 0.333790i
\(442\) 0.242173 + 0.139819i 0.0115190 + 0.00665049i
\(443\) 4.84155i 0.230029i −0.993364 0.115014i \(-0.963309\pi\)
0.993364 0.115014i \(-0.0366914\pi\)
\(444\) −4.52602 + 4.06388i −0.214795 + 0.192863i
\(445\) 11.7271 1.81514i 0.555917 0.0860458i
\(446\) −7.17951 + 12.4353i −0.339960 + 0.588828i
\(447\) 4.24007 2.44800i 0.200548 0.115787i
\(448\) −3.36459 + 1.94255i −0.158962 + 0.0917768i
\(449\) 17.8372 + 30.8949i 0.841789 + 1.45802i 0.888381 + 0.459107i \(0.151830\pi\)
−0.0465924 + 0.998914i \(0.514836\pi\)
\(450\) 1.51161 + 4.76603i 0.0712578 + 0.224673i
\(451\) 1.83766 + 3.18292i 0.0865320 + 0.149878i
\(452\) 4.42366i 0.208071i
\(453\) −4.94928 2.85747i −0.232538 0.134256i
\(454\) −5.03122 −0.236127
\(455\) −2.71238 + 0.419827i −0.127158 + 0.0196818i
\(456\) −1.55178 + 2.68777i −0.0726690 + 0.125866i
\(457\) −7.99977 + 4.61867i −0.374213 + 0.216052i −0.675298 0.737545i \(-0.735985\pi\)
0.301084 + 0.953598i \(0.402651\pi\)
\(458\) 2.48876i 0.116292i
\(459\) −0.442548 + 0.766516i −0.0206564 + 0.0357779i
\(460\) 15.2918 + 5.93174i 0.712983 + 0.276569i
\(461\) −2.17760 + 3.77172i −0.101421 + 0.175666i −0.912270 0.409589i \(-0.865672\pi\)
0.810849 + 0.585255i \(0.199006\pi\)
\(462\) −1.00049 + 0.577635i −0.0465471 + 0.0268740i
\(463\) −4.84239 + 2.79576i −0.225045 + 0.129930i −0.608284 0.793719i \(-0.708142\pi\)
0.383239 + 0.923649i \(0.374809\pi\)
\(464\) 2.44255 4.23062i 0.113392 0.196401i
\(465\) 2.89088 + 1.12138i 0.134061 + 0.0520029i
\(466\) −11.9548 + 20.7064i −0.553797 + 0.959205i
\(467\) 13.0932i 0.605881i 0.953009 + 0.302941i \(0.0979684\pi\)
−0.953009 + 0.302941i \(0.902032\pi\)
\(468\) −0.273612 + 0.157970i −0.0126477 + 0.00730216i
\(469\) 1.14943 1.99087i 0.0530757 0.0919298i
\(470\) 11.3700 1.75987i 0.524458 0.0811767i
\(471\) 0.512826 0.0236298
\(472\) −11.0376 6.37254i −0.508045 0.293320i
\(473\) 2.18404i 0.100422i
\(474\) 1.22680 + 2.12488i 0.0563487 + 0.0975989i
\(475\) −14.7917 + 4.69137i −0.678690 + 0.215255i
\(476\) −1.71934 2.97799i −0.0788059 0.136496i
\(477\) 4.71160 2.72024i 0.215729 0.124551i
\(478\) −25.9114 + 14.9600i −1.18516 + 0.684253i
\(479\) −12.5645 + 21.7624i −0.574088 + 0.994349i 0.422052 + 0.906572i \(0.361310\pi\)
−0.996140 + 0.0877779i \(0.972023\pi\)
\(480\) −2.20975 + 0.342030i −0.100861 + 0.0156115i
\(481\) −0.396951 1.88034i −0.0180994 0.0857363i
\(482\) 12.9341i 0.589134i
\(483\) −24.6799 14.2489i −1.12297 0.648349i
\(484\) −5.45579 9.44970i −0.247990 0.429532i
\(485\) 15.4696 12.4372i 0.702436 0.564744i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) 4.67830i 0.211994i −0.994366 0.105997i \(-0.966197\pi\)
0.994366 0.105997i \(-0.0338034\pi\)
\(488\) 2.18655 1.26241i 0.0989807 0.0571465i
\(489\) −5.55541 −0.251224
\(490\) 16.8737 + 6.54536i 0.762274 + 0.295689i
\(491\) −8.10382 −0.365720 −0.182860 0.983139i \(-0.558536\pi\)
−0.182860 + 0.983139i \(0.558536\pi\)
\(492\) 12.3599i 0.557225i
\(493\) 3.74450 + 2.16189i 0.168644 + 0.0973666i
\(494\) −0.490270 0.849173i −0.0220583 0.0382061i
\(495\) −0.657091 + 0.101706i −0.0295340 + 0.00457134i
\(496\) −0.693350 + 1.20092i −0.0311324 + 0.0539228i
\(497\) −17.6205 10.1732i −0.790390 0.456332i
\(498\) 5.62000 + 3.24471i 0.251838 + 0.145399i
\(499\) 6.68241 + 11.5743i 0.299146 + 0.518136i 0.975941 0.218036i \(-0.0699649\pi\)
−0.676795 + 0.736172i \(0.736632\pi\)
\(500\) −9.31187 6.18782i −0.416439 0.276728i
\(501\) 2.64016 4.57289i 0.117954 0.204302i
\(502\) −9.98983 5.76763i −0.445868 0.257422i
\(503\) 21.1165 + 12.1916i 0.941539 + 0.543598i 0.890443 0.455096i \(-0.150395\pi\)
0.0510969 + 0.998694i \(0.483728\pi\)
\(504\) 3.88510 0.173056
\(505\) −9.88294 12.2925i −0.439785 0.547011i
\(506\) −1.09059 + 1.88896i −0.0484827 + 0.0839745i
\(507\) 12.9002i 0.572917i
\(508\) 11.3907i 0.505382i
\(509\) −5.64271 + 9.77345i −0.250109 + 0.433201i −0.963555 0.267509i \(-0.913800\pi\)
0.713447 + 0.700709i \(0.247133\pi\)
\(510\) −0.302730 1.95585i −0.0134051 0.0866063i
\(511\) 28.0293 + 48.5482i 1.23994 + 2.14765i
\(512\) 1.00000i 0.0441942i
\(513\) 2.68777 1.55178i 0.118668 0.0685130i
\(514\) −5.18038 8.97268i −0.228497 0.395768i
\(515\) −10.3522 + 8.32293i −0.456172 + 0.366752i
\(516\) −3.67239 + 6.36076i −0.161668 + 0.280017i
\(517\) 1.53002i 0.0672902i
\(518\) −7.33393 + 22.4653i −0.322234 + 0.987069i
\(519\) −21.2820 −0.934178
\(520\) 0.255491 0.658645i 0.0112040 0.0288835i
\(521\) −8.10569 14.0395i −0.355117 0.615080i 0.632021 0.774951i \(-0.282225\pi\)
−0.987138 + 0.159871i \(0.948892\pi\)
\(522\) −4.23062 + 2.44255i −0.185169 + 0.106907i
\(523\) 19.3660 11.1810i 0.846817 0.488910i −0.0127588 0.999919i \(-0.504061\pi\)
0.859575 + 0.511009i \(0.170728\pi\)
\(524\) −14.4407 −0.630844
\(525\) 14.3442 + 13.0994i 0.626031 + 0.571704i
\(526\) −3.37234 −0.147041
\(527\) −1.06293 0.613682i −0.0463019 0.0267324i
\(528\) 0.297359i 0.0129409i
\(529\) −30.8048 −1.33934
\(530\) −4.39956 + 11.3419i −0.191105 + 0.492659i
\(531\) 6.37254 + 11.0376i 0.276545 + 0.478990i
\(532\) 12.0577i 0.522766i
\(533\) 3.38180 + 1.95249i 0.146482 + 0.0845715i
\(534\) 2.65348 4.59596i 0.114827 0.198887i
\(535\) 28.8068 + 11.1743i 1.24543 + 0.483106i
\(536\) 0.295856 + 0.512438i 0.0127790 + 0.0221339i
\(537\) −15.8863 + 9.17195i −0.685544 + 0.395799i
\(538\) 11.7715 + 6.79627i 0.507505 + 0.293008i
\(539\) −1.20341 + 2.08437i −0.0518345 + 0.0897800i
\(540\) 2.08472 + 0.808671i 0.0897120 + 0.0347996i
\(541\) 19.8953 0.855368 0.427684 0.903928i \(-0.359330\pi\)
0.427684 + 0.903928i \(0.359330\pi\)
\(542\) 10.0385 5.79573i 0.431191 0.248948i
\(543\) 12.4975 + 7.21545i 0.536320 + 0.309645i
\(544\) 0.885096 0.0379482
\(545\) 13.6172 2.10770i 0.583297 0.0902839i
\(546\) −0.613728 + 1.06301i −0.0262651 + 0.0454926i
\(547\) 36.1842i 1.54712i 0.633721 + 0.773562i \(0.281527\pi\)
−0.633721 + 0.773562i \(0.718473\pi\)
\(548\) 12.1491 7.01426i 0.518982 0.299634i
\(549\) −2.52482 −0.107757
\(550\) 1.00261 1.09788i 0.0427513 0.0468138i
\(551\) −7.58062 13.1300i −0.322945 0.559357i
\(552\) 6.35245 3.66759i 0.270378 0.156103i
\(553\) 8.25535 + 4.76623i 0.351053 + 0.202681i
\(554\) 15.0114 0.637773
\(555\) −8.61143 + 10.5282i −0.365535 + 0.446898i
\(556\) 19.5867 0.830659
\(557\) −7.64850 4.41586i −0.324077 0.187106i 0.329131 0.944284i \(-0.393244\pi\)
−0.653209 + 0.757178i \(0.726578\pi\)
\(558\) 1.20092 0.693350i 0.0508389 0.0293519i
\(559\) −1.16025 2.00962i −0.0490735 0.0849977i
\(560\) −6.77051 + 5.44335i −0.286106 + 0.230023i
\(561\) 0.263192 0.0111120
\(562\) 18.0352 10.4127i 0.760771 0.439231i
\(563\) 23.4622i 0.988815i 0.869230 + 0.494407i \(0.164615\pi\)
−0.869230 + 0.494407i \(0.835385\pi\)
\(564\) 2.57268 4.45601i 0.108329 0.187632i
\(565\) 1.51302 + 9.77520i 0.0636534 + 0.411246i
\(566\) −7.94608 −0.333999
\(567\) −3.36459 1.94255i −0.141300 0.0815794i
\(568\) 4.53542 2.61853i 0.190302 0.109871i
\(569\) 22.5086 0.943612 0.471806 0.881702i \(-0.343602\pi\)
0.471806 + 0.881702i \(0.343602\pi\)
\(570\) −2.50977 + 6.47007i −0.105122 + 0.271001i
\(571\) 7.70572 13.3467i 0.322474 0.558542i −0.658524 0.752560i \(-0.728819\pi\)
0.980998 + 0.194018i \(0.0621520\pi\)
\(572\) 0.0813610 + 0.0469738i 0.00340188 + 0.00196407i
\(573\) 6.02174 3.47665i 0.251562 0.145239i
\(574\) −24.0096 41.5859i −1.00214 1.73576i
\(575\) 35.8199 + 7.87744i 1.49379 + 0.328512i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) 8.01405 + 4.62692i 0.333629 + 0.192621i 0.657451 0.753497i \(-0.271635\pi\)
−0.323822 + 0.946118i \(0.604968\pi\)
\(578\) 16.2166i 0.674522i
\(579\) −12.2336 21.1891i −0.508409 0.880591i
\(580\) 3.95043 10.1841i 0.164033 0.422870i
\(581\) 25.2120 1.04597
\(582\) 8.87683i 0.367957i
\(583\) −1.40104 0.808889i −0.0580250 0.0335008i
\(584\) −14.4291 −0.597082
\(585\) −0.550585 + 0.442658i −0.0227639 + 0.0183017i
\(586\) 19.5615 0.808080
\(587\) 15.3642 8.87053i 0.634149 0.366126i −0.148208 0.988956i \(-0.547351\pi\)
0.782357 + 0.622830i \(0.214017\pi\)
\(588\) 7.00959 4.04699i 0.289070 0.166895i
\(589\) 2.15186 + 3.72713i 0.0886659 + 0.153574i
\(590\) −26.5699 10.3066i −1.09387 0.424315i
\(591\) −21.8285 −0.897905
\(592\) −4.06388 4.52602i −0.167024 0.186018i
\(593\) 0.121693i 0.00499735i −0.999997 0.00249867i \(-0.999205\pi\)
0.999997 0.00249867i \(-0.000795353\pi\)
\(594\) −0.148680 + 0.257521i −0.00610040 + 0.0105662i
\(595\) −4.81788 5.99255i −0.197514 0.245671i
\(596\) 2.44800 + 4.24007i 0.100274 + 0.173680i
\(597\) −8.07412 + 4.66159i −0.330452 + 0.190786i
\(598\) 2.31747i 0.0947685i
\(599\) 18.4792 + 32.0069i 0.755039 + 1.30777i 0.945355 + 0.326042i \(0.105715\pi\)
−0.190317 + 0.981723i \(0.560951\pi\)
\(600\) −4.76603 + 1.51161i −0.194572 + 0.0617110i
\(601\) −6.53316 + 11.3158i −0.266493 + 0.461580i −0.967954 0.251129i \(-0.919198\pi\)
0.701461 + 0.712708i \(0.252532\pi\)
\(602\) 28.5351i 1.16301i
\(603\) 0.591712i 0.0240964i
\(604\) 2.85747 4.94928i 0.116269 0.201383i
\(605\) −15.2880 19.0155i −0.621547 0.773089i
\(606\) −7.05378 −0.286540
\(607\) 32.7606 + 18.9143i 1.32971 + 0.767710i 0.985255 0.171093i \(-0.0547297\pi\)
0.344457 + 0.938802i \(0.388063\pi\)
\(608\) −2.68777 1.55178i −0.109003 0.0629332i
\(609\) −9.48953 + 16.4364i −0.384535 + 0.666035i
\(610\) 4.39997 3.53748i 0.178149 0.143228i
\(611\) 0.812812 + 1.40783i 0.0328829 + 0.0569548i
\(612\) −0.766516 0.442548i −0.0309846 0.0178889i
\(613\) 15.6579 + 9.04011i 0.632418 + 0.365127i 0.781688 0.623670i \(-0.214359\pi\)
−0.149270 + 0.988796i \(0.547692\pi\)
\(614\) −3.58294 + 6.20583i −0.144596 + 0.250447i
\(615\) −4.22744 27.3123i −0.170467 1.10134i
\(616\) −0.577635 1.00049i −0.0232736 0.0403110i
\(617\) 24.4225 + 14.1003i 0.983213 + 0.567658i 0.903239 0.429139i \(-0.141183\pi\)
0.0799744 + 0.996797i \(0.474516\pi\)
\(618\) 5.94035i 0.238956i
\(619\) −28.9547 −1.16379 −0.581894 0.813264i \(-0.697688\pi\)
−0.581894 + 0.813264i \(0.697688\pi\)
\(620\) −1.12138 + 2.89088i −0.0450359 + 0.116101i
\(621\) −7.33518 −0.294350
\(622\) 22.0099 12.7074i 0.882516 0.509521i
\(623\) 20.6180i 0.826044i
\(624\) −0.157970 0.273612i −0.00632386 0.0109532i
\(625\) −22.6934 10.4886i −0.907735 0.419545i
\(626\) 1.57843 + 2.73391i 0.0630866 + 0.109269i
\(627\) −0.799233 0.461438i −0.0319183 0.0184280i
\(628\) 0.512826i 0.0204640i
\(629\) 4.00596 3.59693i 0.159728 0.143419i
\(630\) 8.58511 1.32882i 0.342039 0.0529415i
\(631\) −24.6501 + 42.6952i −0.981304 + 1.69967i −0.323974 + 0.946066i \(0.605019\pi\)
−0.657330 + 0.753603i \(0.728314\pi\)
\(632\) −2.12488 + 1.22680i −0.0845231 + 0.0487994i
\(633\) 4.52695 2.61364i 0.179930 0.103883i
\(634\) −2.82073 4.88564i −0.112025 0.194034i
\(635\) −3.89598 25.1707i −0.154607 0.998870i
\(636\) 2.72024 + 4.71160i 0.107865 + 0.186827i
\(637\) 2.55721i 0.101320i
\(638\) 1.25801 + 0.726314i 0.0498052 + 0.0287551i
\(639\) −5.23705 −0.207175
\(640\) −0.342030 2.20975i −0.0135199 0.0873482i
\(641\) −6.83132 + 11.8322i −0.269821 + 0.467344i −0.968815 0.247783i \(-0.920298\pi\)
0.698995 + 0.715127i \(0.253631\pi\)
\(642\) 11.9668 6.90904i 0.472292 0.272678i
\(643\) 25.4872i 1.00512i −0.864544 0.502558i \(-0.832392\pi\)
0.864544 0.502558i \(-0.167608\pi\)
\(644\) 14.2489 24.6799i 0.561487 0.972523i
\(645\) −5.93950 + 15.3118i −0.233868 + 0.602901i
\(646\) 1.37348 2.37893i 0.0540388 0.0935979i
\(647\) 12.9156 7.45681i 0.507764 0.293158i −0.224150 0.974555i \(-0.571961\pi\)
0.731914 + 0.681397i \(0.238627\pi\)
\(648\) 0.866025 0.500000i 0.0340207 0.0196419i
\(649\) 1.89493 3.28212i 0.0743827 0.128835i
\(650\) 0.339296 1.54283i 0.0133083 0.0605148i
\(651\) 2.69373 4.66568i 0.105576 0.182863i
\(652\) 5.55541i 0.217566i
\(653\) −19.5857 + 11.3078i −0.766449 + 0.442510i −0.831606 0.555365i \(-0.812578\pi\)
0.0651574 + 0.997875i \(0.479245\pi\)
\(654\) 3.08116 5.33672i 0.120483 0.208682i
\(655\) −31.9104 + 4.93915i −1.24684 + 0.192988i
\(656\) 12.3599 0.482571
\(657\) 12.4960 + 7.21457i 0.487516 + 0.281467i
\(658\) 19.9902i 0.779300i
\(659\) 15.3180 + 26.5316i 0.596705 + 1.03352i 0.993304 + 0.115531i \(0.0368569\pi\)
−0.396599 + 0.917992i \(0.629810\pi\)
\(660\) −0.101706 0.657091i −0.00395889 0.0255772i
\(661\) −21.5266 37.2852i −0.837289 1.45023i −0.892153 0.451733i \(-0.850806\pi\)
0.0548648 0.998494i \(-0.482527\pi\)
\(662\) −1.75630 + 1.01400i −0.0682607 + 0.0394103i
\(663\) 0.242173 0.139819i 0.00940521 0.00543010i
\(664\) −3.24471 + 5.62000i −0.125919 + 0.218098i
\(665\) 4.12409 + 26.6445i 0.159925 + 1.03323i
\(666\) 1.25641 + 5.95159i 0.0486850 + 0.230619i
\(667\) 35.8330i 1.38746i
\(668\) 4.57289 + 2.64016i 0.176930 + 0.102151i
\(669\) 7.17951 + 12.4353i 0.277576 + 0.480776i
\(670\) 0.829039 + 1.03117i 0.0320286 + 0.0398376i
\(671\) 0.375389 + 0.650192i 0.0144917 + 0.0251004i
\(672\) 3.88510i 0.149871i
\(673\) −4.54995 + 2.62692i −0.175388 + 0.101260i −0.585124 0.810944i \(-0.698954\pi\)
0.409736 + 0.912204i \(0.365621\pi\)
\(674\) 31.8795 1.22795
\(675\) 4.88331 + 1.07393i 0.187959 + 0.0413355i
\(676\) −12.9002 −0.496161
\(677\) 32.3513i 1.24336i −0.783271 0.621680i \(-0.786450\pi\)
0.783271 0.621680i \(-0.213550\pi\)
\(678\) 3.83100 + 2.21183i 0.147129 + 0.0849448i
\(679\) −17.2437 29.8669i −0.661752 1.14619i
\(680\) 1.95585 0.302730i 0.0750032 0.0116091i
\(681\) −2.51561 + 4.35717i −0.0963985 + 0.166967i
\(682\) −0.357104 0.206174i −0.0136742 0.00789482i
\(683\) −10.1060 5.83471i −0.386696 0.223259i 0.294032 0.955796i \(-0.405003\pi\)
−0.680728 + 0.732537i \(0.738336\pi\)
\(684\) 1.55178 + 2.68777i 0.0593340 + 0.102769i
\(685\) 24.4473 19.6551i 0.934085 0.750984i
\(686\) 2.12509 3.68077i 0.0811364 0.140532i
\(687\) 2.15533 + 1.24438i 0.0822309 + 0.0474760i
\(688\) −6.36076 3.67239i −0.242502 0.140008i
\(689\) −1.71886 −0.0654835
\(690\) 12.7829 10.2772i 0.486638 0.391246i
\(691\) −12.3043 + 21.3117i −0.468077 + 0.810734i −0.999334 0.0364770i \(-0.988386\pi\)
0.531257 + 0.847211i \(0.321720\pi\)
\(692\) 21.2820i 0.809022i
\(693\) 1.15527i 0.0438851i
\(694\) 4.25577 7.37122i 0.161547 0.279807i
\(695\) 43.2817 6.69923i 1.64177 0.254116i
\(696\) −2.44255 4.23062i −0.0925845 0.160361i
\(697\) 10.9397i 0.414369i
\(698\) −13.0926 + 7.55902i −0.495562 + 0.286113i
\(699\) 11.9548 + 20.7064i 0.452174 + 0.783188i
\(700\) −13.0994 + 14.3442i −0.495110 + 0.542159i
\(701\) −4.03627 + 6.99102i −0.152448 + 0.264047i −0.932127 0.362132i \(-0.882049\pi\)
0.779679 + 0.626179i \(0.215382\pi\)
\(702\) 0.315940i 0.0119244i
\(703\) −18.4712 + 3.89937i −0.696654 + 0.147067i
\(704\) 0.297359 0.0112071
\(705\) 4.16090 10.7266i 0.156709 0.403988i
\(706\) 13.2015 + 22.8657i 0.496845 + 0.860560i
\(707\) −23.7331 + 13.7023i −0.892575 + 0.515328i
\(708\) −11.0376 + 6.37254i −0.414817 + 0.239495i
\(709\) 42.1290 1.58219 0.791094 0.611694i \(-0.209512\pi\)
0.791094 + 0.611694i \(0.209512\pi\)
\(710\) 9.12655 7.33755i 0.342513 0.275373i
\(711\) 2.45360 0.0920171
\(712\) 4.59596 + 2.65348i 0.172241 + 0.0994433i
\(713\) 10.1717i 0.380933i
\(714\) −3.43868 −0.128689
\(715\) 0.195854 + 0.0759727i 0.00732454 + 0.00284122i
\(716\) −9.17195 15.8863i −0.342772 0.593698i
\(717\) 29.9199i 1.11738i
\(718\) −13.7298 7.92689i −0.512391 0.295829i
\(719\) 20.1969 34.9821i 0.753218 1.30461i −0.193037 0.981192i \(-0.561834\pi\)
0.946255 0.323421i \(-0.104833\pi\)
\(720\) −0.808671 + 2.08472i −0.0301374 + 0.0776929i
\(721\) 11.5394 + 19.9869i 0.429750 + 0.744349i
\(722\) 8.11280 4.68393i 0.301927 0.174318i
\(723\) 11.2013 + 6.46707i 0.416580 + 0.240513i
\(724\) −7.21545 + 12.4975i −0.268160 + 0.464467i
\(725\) 5.24624 23.8554i 0.194840 0.885968i
\(726\) −10.9116 −0.404967
\(727\) −37.6222 + 21.7212i −1.39533 + 0.805594i −0.993899 0.110296i \(-0.964820\pi\)
−0.401430 + 0.915890i \(0.631487\pi\)
\(728\) −1.06301 0.613728i −0.0393977 0.0227463i
\(729\) −1.00000 −0.0370370
\(730\) −31.8849 + 4.93520i −1.18011 + 0.182660i
\(731\) 3.25041 5.62988i 0.120221 0.208229i
\(732\) 2.52482i 0.0933199i
\(733\) −6.68259 + 3.85819i −0.246827 + 0.142506i −0.618310 0.785934i \(-0.712183\pi\)
0.371484 + 0.928440i \(0.378849\pi\)
\(734\) 28.4155 1.04883
\(735\) 14.1053 11.3403i 0.520281 0.418295i
\(736\) 3.66759 + 6.35245i 0.135189 + 0.234154i
\(737\) −0.152378 + 0.0879756i −0.00561292 + 0.00324062i
\(738\) −10.7040 6.17993i −0.394018 0.227486i
\(739\) −41.2019 −1.51564 −0.757818 0.652466i \(-0.773735\pi\)
−0.757818 + 0.652466i \(0.773735\pi\)
\(740\) −10.5282 8.61143i −0.387025 0.316562i
\(741\) −0.980541 −0.0360211
\(742\) 18.3050 + 10.5684i 0.671998 + 0.387978i
\(743\) 15.5183 8.95952i 0.569313 0.328693i −0.187562 0.982253i \(-0.560059\pi\)
0.756875 + 0.653560i \(0.226725\pi\)
\(744\) 0.693350 + 1.20092i 0.0254195 + 0.0440278i
\(745\) 6.85972 + 8.53222i 0.251321 + 0.312596i
\(746\) −4.90800 −0.179695
\(747\) 5.62000 3.24471i 0.205625 0.118718i
\(748\) 0.263192i 0.00962324i
\(749\) 26.8423 46.4922i 0.980796 1.69879i
\(750\) −10.0147 + 4.97040i −0.365687 + 0.181493i
\(751\) 25.5716 0.933120 0.466560 0.884490i \(-0.345493\pi\)
0.466560 + 0.884490i \(0.345493\pi\)
\(752\) 4.45601 + 2.57268i 0.162494 + 0.0938160i
\(753\) −9.98983 + 5.76763i −0.364050 + 0.210184i
\(754\) 1.54340 0.0562072
\(755\) 4.62150 11.9140i 0.168194 0.433596i
\(756\) 1.94255 3.36459i 0.0706498 0.122369i
\(757\) −4.64047 2.67918i −0.168661 0.0973763i 0.413293 0.910598i \(-0.364378\pi\)
−0.581954 + 0.813222i \(0.697712\pi\)
\(758\) −18.8795 + 10.9001i −0.685733 + 0.395908i
\(759\) 1.09059 + 1.88896i 0.0395860 + 0.0685649i
\(760\) −6.47007 2.50977i −0.234694 0.0910387i
\(761\) −26.4595 + 45.8292i −0.959156 + 1.66131i −0.234598 + 0.972092i \(0.575377\pi\)
−0.724558 + 0.689214i \(0.757956\pi\)
\(762\) −9.86467 5.69537i −0.357359 0.206321i
\(763\) 23.9412i 0.866729i
\(764\) 3.47665 + 6.02174i 0.125781 + 0.217859i
\(765\) −1.84518 0.715751i −0.0667125 0.0258780i
\(766\) 21.6591 0.782574
\(767\) 4.02668i 0.145395i
\(768\) −0.866025 0.500000i −0.0312500 0.0180422i
\(769\) −17.6816 −0.637615 −0.318808 0.947819i \(-0.603282\pi\)
−0.318808 + 0.947819i \(0.603282\pi\)
\(770\) −1.61863 2.01327i −0.0583314 0.0725534i
\(771\) −10.3608 −0.373134
\(772\) 21.1891 12.2336i 0.762614 0.440295i
\(773\) 16.7129 9.64917i 0.601120 0.347057i −0.168362 0.985725i \(-0.553848\pi\)
0.769482 + 0.638669i \(0.220514\pi\)
\(774\) 3.67239 + 6.36076i 0.132001 + 0.228633i
\(775\) −1.48922 + 6.77169i −0.0534942 + 0.243246i
\(776\) 8.87683 0.318660