Properties

Label 1110.2.bb.d.1009.7
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 1009.7
Character \(\chi\) \(=\) 1110.1009
Dual form 1110.2.bb.d.1099.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.808671 + 2.08472i) q^{5} +1.00000 q^{6} +(-3.36459 + 1.94255i) q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.808671 + 2.08472i) 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} +(-1.74269 - 1.40108i) 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} +(-1.40108 + 1.74269i) q^{20} +(1.94255 - 3.36459i) q^{21} +(0.257521 + 0.148680i) q^{22} +7.33518i q^{23} +(0.500000 + 0.866025i) q^{24} +(-3.69210 + 3.37170i) q^{25} -0.315940 q^{26} +1.00000i q^{27} +(-3.36459 - 1.94255i) q^{28} -4.88510 q^{29} +(0.808671 + 2.08472i) q^{30} +1.38670 q^{31} +(0.866025 - 0.500000i) q^{32} +(0.257521 - 0.148680i) q^{33} +(-0.442548 - 0.766516i) q^{34} +(-6.77051 - 5.44335i) q^{35} +1.00000 q^{36} +(1.88771 - 5.78243i) q^{37} -3.10357i q^{38} +(-0.157970 + 0.273612i) q^{39} +(2.08472 - 0.808671i) 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} +(4.88331 - 1.07393i) q^{50} -0.885096 q^{51} +(0.273612 + 0.157970i) q^{52} +(-4.71160 - 2.72024i) q^{53} +(0.500000 - 0.866025i) q^{54} +(-0.240466 - 0.619910i) 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} +(0.550585 + 0.442658i) q^{65} -0.297359 q^{66} +(-0.512438 + 0.295856i) q^{67} +0.885096i q^{68} +(-3.66759 - 6.35245i) q^{69} +(3.14176 + 8.09933i) 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} +(-1.74269 - 1.40108i) 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} +(-4.34836 + 5.40855i) 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
\(5\) 0.808671 + 2.08472i 0.361648 + 0.932315i
\(6\) 1.00000 0.408248
\(7\) −3.36459 + 1.94255i −1.27170 + 0.734214i −0.975307 0.220853i \(-0.929116\pi\)
−0.296389 + 0.955067i \(0.595783\pi\)
\(8\) 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 −0.461577 0.887100i \(-0.652716\pi\)
0.537463 + 0.843287i \(0.319383\pi\)
\(14\) 3.88510 1.03834
\(15\) −1.74269 1.40108i −0.449960 0.361758i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.766516 + 0.442548i 0.185907 + 0.107334i 0.590065 0.807356i \(-0.299102\pi\)
−0.404158 + 0.914689i \(0.632435\pi\)
\(18\) −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 \(0.717472\pi\)
\(20\) −1.40108 + 1.74269i −0.313292 + 0.389677i
\(21\) 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 \(0.277135\pi\)
−0.644333 + 0.764745i \(0.722865\pi\)
\(24\) 0.500000 + 0.866025i 0.102062 + 0.176777i
\(25\) −3.69210 + 3.37170i −0.738421 + 0.674340i
\(26\) −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 \(0.649850\pi\)
\(30\) 0.808671 + 2.08472i 0.147642 + 0.380616i
\(31\) 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
\(35\) −6.77051 5.44335i −1.14443 0.920093i
\(36\) 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
\(40\) 2.08472 0.808671i 0.329623 0.127862i
\(41\) −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 \(-0.810788\pi\)
0.828470 0.560034i \(-0.189212\pi\)
\(44\) −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 \(0.122448\pi\)
−0.926918 + 0.375264i \(0.877552\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 4.04699 7.00959i 0.578141 1.00137i
\(50\) 4.88331 1.07393i 0.690604 0.151876i
\(51\) −0.885096 −0.123938
\(52\) 0.273612 + 0.157970i 0.0379431 + 0.0219065i
\(53\) −4.71160 2.72024i −0.647187 0.373654i 0.140190 0.990125i \(-0.455229\pi\)
−0.787378 + 0.616471i \(0.788562\pi\)
\(54\) 0.500000 0.866025i 0.0680414 0.117851i
\(55\) −0.240466 0.619910i −0.0324244 0.0835887i
\(56\) 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
\(65\) 0.550585 + 0.442658i 0.0682916 + 0.0549050i
\(66\) −0.297359 −0.0366024
\(67\) −0.512438 + 0.295856i −0.0626042 + 0.0361446i −0.530975 0.847387i \(-0.678174\pi\)
0.468371 + 0.883532i \(0.344841\pi\)
\(68\) 0.885096i 0.107334i
\(69\) −3.66759 6.35245i −0.441526 0.764745i
\(70\) 3.14176 + 8.09933i 0.375512 + 0.968055i
\(71\) −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 \(-0.679956\pi\)
0.535710 0.844402i \(-0.320044\pi\)
\(74\) −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 0.158777 0.987315i \(-0.449245\pi\)
−0.775651 + 0.631162i \(0.782578\pi\)
\(84\) 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 \(0.0759116\pi\)
\(90\) −1.74269 1.40108i −0.183696 0.147687i
\(91\) −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
\(95\) −4.34836 + 5.40855i −0.446133 + 0.554906i
\(96\) −0.500000 + 0.866025i −0.0510310 + 0.0883883i
\(97\) 8.87683i 0.901306i 0.892699 + 0.450653i \(0.148809\pi\)
−0.892699 + 0.450653i \(0.851191\pi\)
\(98\) −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 \(-0.905460\pi\)
0.956217 0.292660i \(-0.0945404\pi\)
\(104\) −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 −0.950553 0.310562i \(-0.899483\pi\)
−0.206322 + 0.978484i \(0.566150\pi\)
\(108\) −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 0.308862 0.951107i \(-0.400052\pi\)
−0.669252 + 0.743036i \(0.733385\pi\)
\(114\) 1.55178 + 2.68777i 0.145338 + 0.251733i
\(115\) −15.2918 + 5.93174i −1.42597 + 0.553138i
\(116\) −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
\(120\) −1.40108 + 1.74269i −0.127901 + 0.159085i
\(121\) −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 0.869122 0.494598i \(-0.164685\pi\)
0.00622607 + 0.999981i \(0.498018\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 3.67239 + 6.36076i 0.323336 + 0.560034i
\(130\) −0.255491 0.658645i −0.0224081 0.0577670i
\(131\) −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
\(135\) −2.08472 + 0.808671i −0.179424 + 0.0695993i
\(136\) 0.442548 0.766516i 0.0379482 0.0657282i
\(137\) 14.0285i 1.19854i 0.800548 + 0.599269i \(0.204542\pi\)
−0.800548 + 0.599269i \(0.795458\pi\)
\(138\) 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
\(145\) −3.95043 10.1841i −0.328066 0.845739i
\(146\) −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 \(0.435728\pi\)
\(150\) −3.69210 + 3.37170i −0.301459 + 0.275298i
\(151\) −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
\(155\) 1.12138 + 2.89088i 0.0900717 + 0.232201i
\(156\) −0.315940 −0.0252954
\(157\) −0.444121 0.256413i −0.0354447 0.0204640i 0.482173 0.876076i \(-0.339848\pi\)
−0.517618 + 0.855612i \(0.673181\pi\)
\(158\) 2.45360i 0.195198i
\(159\) 5.44048 0.431458
\(160\) 1.74269 + 1.40108i 0.137772 + 0.110765i
\(161\) −14.2489 24.6799i −1.12297 1.94505i
\(162\) 1.00000i 0.0785674i
\(163\) 4.81112 + 2.77770i 0.376836 + 0.217566i 0.676441 0.736497i \(-0.263521\pi\)
−0.299605 + 0.954063i \(0.596855\pi\)
\(164\) 6.17993 10.7040i 0.482571 0.835838i
\(165\) 0.518205 + 0.416625i 0.0403422 + 0.0324342i
\(166\) 3.24471 + 5.62000i 0.251838 + 0.436196i
\(167\) −4.57289 + 2.64016i −0.353861 + 0.204302i −0.666384 0.745608i \(-0.732159\pi\)
0.312524 + 0.949910i \(0.398826\pi\)
\(168\) −3.36459 1.94255i −0.259584 0.149871i
\(169\) −6.45009 + 11.1719i −0.496161 + 0.859376i
\(170\) 1.24009 1.54245i 0.0951109 0.118300i
\(171\) 3.10357 0.237336
\(172\) 6.36076 3.67239i 0.485003 0.280017i
\(173\) 18.4308 + 10.6410i 1.40127 + 0.809022i 0.994523 0.104520i \(-0.0333306\pi\)
0.406745 + 0.913542i \(0.366664\pi\)
\(174\) −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 \(0.740435\pi\)
\(180\) 0.808671 + 2.08472i 0.0602747 + 0.155386i
\(181\) 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
\(185\) 13.5813 0.740741i 0.998516 0.0544604i
\(186\) 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
\(190\) 6.47007 2.50977i 0.469388 0.182077i
\(191\) 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 \(0.342854\pi\)
−0.473877 + 0.880591i \(0.657146\pi\)
\(194\) 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 0.987803 0.155708i \(-0.0497658\pi\)
0.359055 + 0.933317i \(0.383099\pi\)
\(198\) 0.257521 0.148680i 0.0183012 0.0105662i
\(199\) −9.32319 −0.660903 −0.330452 0.943823i \(-0.607201\pi\)
−0.330452 + 0.943823i \(0.607201\pi\)
\(200\) 3.37170 + 3.69210i 0.238415 + 0.261071i
\(201\) 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
\(205\) 17.3172 21.5394i 1.20949 1.50438i
\(206\) −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
\(210\) −6.77051 5.44335i −0.467210 0.375627i
\(211\) 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
\(215\) 15.3118 5.93950i 1.04426 0.405071i
\(216\) 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
\(220\) 0.416625 0.518205i 0.0280889 0.0349373i
\(221\) 0.279637 0.0188104
\(222\) 1.88771 5.78243i 0.126695 0.388092i
\(223\) 14.3590i 0.961551i −0.876844 0.480776i \(-0.840355\pi\)
0.876844 0.480776i \(-0.159645\pi\)
\(224\) −1.94255 + 3.36459i −0.129792 + 0.224806i
\(225\) 1.07393 + 4.88331i 0.0715951 + 0.325554i
\(226\) 2.21183 + 3.83100i 0.147129 + 0.254834i
\(227\) 4.35717 2.51561i 0.289195 0.166967i −0.348384 0.937352i \(-0.613269\pi\)
0.637579 + 0.770385i \(0.279936\pi\)
\(228\) 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 \(-0.713592\pi\)
0.621785 0.783188i \(-0.286408\pi\)
\(234\) −0.157970 + 0.273612i −0.0103268 + 0.0178866i
\(235\) −10.7266 + 4.16090i −0.699728 + 0.271427i
\(236\) −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 \(0.747815\pi\)
\(240\) 2.08472 0.808671i 0.134568 0.0521995i
\(241\) 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
\(250\) 6.18782 + 9.31187i 0.391352 + 0.588934i
\(251\) −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
\(255\) −0.715751 1.84518i −0.0448221 0.115549i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 8.97268 + 5.18038i 0.559701 + 0.323143i 0.753025 0.657992i \(-0.228594\pi\)
−0.193325 + 0.981135i \(0.561927\pi\)
\(258\) 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 −0.407246 0.913318i \(-0.633511\pi\)
0.587334 + 0.809345i \(0.300178\pi\)
\(264\) −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
\(275\) 1.09788 1.00261i 0.0662047 0.0604595i
\(276\) 3.66759 6.35245i 0.220763 0.382372i
\(277\) −13.0002 + 7.50570i −0.781109 + 0.450974i −0.836823 0.547473i \(-0.815590\pi\)
0.0557140 + 0.998447i \(0.482257\pi\)
\(278\) −16.9625 + 9.79333i −1.01735 + 0.587365i
\(279\) 0.693350 1.20092i 0.0415098 0.0718971i
\(280\) −5.44335 + 6.77051i −0.325302 + 0.404616i
\(281\) 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 −0.281324 0.959613i \(-0.590774\pi\)
0.690387 + 0.723440i \(0.257440\pi\)
\(284\) 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 −0.905182 0.425024i \(-0.860266\pi\)
−0.0845098 + 0.996423i \(0.526932\pi\)
\(294\) 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
\(300\) 4.88331 1.07393i 0.281938 0.0620032i
\(301\) 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
\(305\) 3.53748 4.39997i 0.202555 0.251941i
\(306\) −0.885096 −0.0505976
\(307\) 7.16588i 0.408978i −0.978869 0.204489i \(-0.934447\pi\)
0.978869 0.204489i \(-0.0655533\pi\)
\(308\) 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 0.420741 0.907181i \(-0.361770\pi\)
−0.575271 + 0.817963i \(0.695103\pi\)
\(314\) 0.256413 + 0.444121i 0.0144702 + 0.0250632i
\(315\) −8.09933 + 3.14176i −0.456346 + 0.177018i
\(316\) −1.22680 + 2.12488i −0.0690128 + 0.119534i
\(317\) 4.88564 + 2.82073i 0.274405 + 0.158428i 0.630888 0.775874i \(-0.282691\pi\)
−0.356483 + 0.934302i \(0.616024\pi\)
\(318\) −4.71160 2.72024i −0.264213 0.152544i
\(319\) 1.45263 0.0813316
\(320\) −0.808671 2.08472i −0.0452061 0.116539i
\(321\) 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
\(330\) −0.240466 0.619910i −0.0132372 0.0341249i
\(331\) −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
\(335\) −1.03117 0.829039i −0.0563388 0.0452952i
\(336\) 1.94255 + 3.36459i 0.105975 + 0.183554i
\(337\) −27.6085 + 15.9398i −1.50393 + 0.868294i −0.503939 + 0.863739i \(0.668116\pi\)
−0.999990 + 0.00455466i \(0.998550\pi\)
\(338\) 11.1719 6.45009i 0.607670 0.350839i
\(339\) 4.42366 0.240260
\(340\) −1.84518 + 0.715751i −0.100069 + 0.0388171i
\(341\) −0.412348 −0.0223299
\(342\) −2.68777 1.55178i −0.145338 0.0839109i
\(343\) 4.25019i 0.229488i
\(344\) −7.34477 −0.396004
\(345\) 10.2772 12.7829i 0.553306 0.688210i
\(346\) −10.6410 18.4308i −0.572065 0.990846i
\(347\) 8.51155i 0.456924i 0.973553 + 0.228462i \(0.0733696\pi\)
−0.973553 + 0.228462i \(0.926630\pi\)
\(348\) 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 \(0.299265\pi\)
\(350\) −14.3442 + 13.0994i −0.766729 + 0.700191i
\(351\) 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 −0.252738 0.967535i \(-0.581331\pi\)
−0.964279 + 0.264890i \(0.914664\pi\)
\(354\) −6.37254 + 11.0376i −0.338697 + 0.586640i
\(355\) 7.33755 9.12655i 0.389437 0.484387i
\(356\) 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
\(365\) 30.0807 11.6684i 1.57450 0.610753i
\(366\) −1.26241 2.18655i −0.0659871 0.114293i
\(367\) −24.6085 + 14.2077i −1.28455 + 0.741637i −0.977677 0.210112i \(-0.932617\pi\)
−0.306876 + 0.951749i \(0.599284\pi\)
\(368\) −6.35245 3.66759i −0.331144 0.191186i
\(369\) −12.3599 −0.643429
\(370\) −12.1321 6.14914i −0.630718 0.319679i
\(371\) 21.1368 1.09737
\(372\) −1.20092 0.693350i −0.0622647 0.0359485i
\(373\) 4.25045 2.45400i 0.220080 0.127063i −0.385907 0.922538i \(-0.626112\pi\)
0.605987 + 0.795474i \(0.292778\pi\)
\(374\) 0.131596 + 0.227931i 0.00680466 + 0.0117860i
\(375\) 11.1582 0.702877i 0.576208 0.0362964i
\(376\) 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 −0.895697 0.444666i \(-0.853322\pi\)
−0.0627565 + 0.998029i \(0.519989\pi\)
\(384\) −1.00000 −0.0510310
\(385\) 2.01327 + 1.61863i 0.102606 + 0.0824930i
\(386\) 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 \(0.661443\pi\)
\(390\) 0.550585 + 0.442658i 0.0278799 + 0.0224149i
\(391\) −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
\(395\) −3.43770 + 4.27586i −0.172969 + 0.215142i
\(396\) −0.297359 −0.0149429
\(397\) 12.4857i 0.626638i 0.949648 + 0.313319i \(0.101441\pi\)
−0.949648 + 0.313319i \(0.898559\pi\)
\(398\) 8.07412 + 4.66159i 0.404719 + 0.233665i
\(399\) 12.0577 0.603638
\(400\) −1.07393 4.88331i −0.0536963 0.244165i
\(401\) −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
\(405\) 1.40108 1.74269i 0.0696204 0.0865949i
\(406\) −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 \(0.120093\pi\)
\(410\) −25.7668 + 9.99505i −1.27253 + 0.493620i
\(411\) −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 \(0.0724070\pi\)
\(420\) 3.14176 + 8.09933i 0.153302 + 0.395207i
\(421\) 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
\(425\) −4.32220 + 0.950528i −0.209657 + 0.0461074i
\(426\) −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 \(0.483227\pi\)
−0.0526686 + 0.998612i \(0.516773\pi\)
\(434\) 5.38747 0.258607
\(435\) 8.51320 + 6.84443i 0.408177 + 0.328165i
\(436\) 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 \(0.652143\pi\)
\(440\) −0.619910 + 0.240466i −0.0295531 + 0.0114638i
\(441\) −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 \(0.0366914\pi\)
−0.993364 + 0.115014i \(0.963309\pi\)
\(444\) −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 −0.301084 0.953598i \(-0.597349\pi\)
0.675298 + 0.737545i \(0.264015\pi\)
\(458\) 2.48876i 0.116292i
\(459\) −0.442548 + 0.766516i −0.0206564 + 0.0357779i
\(460\) −12.7829 10.2772i −0.596007 0.479177i
\(461\) −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 −0.383239 0.923649i \(-0.625191\pi\)
0.608284 + 0.793719i \(0.291858\pi\)
\(464\) 2.44255 4.23062i 0.113392 0.196401i
\(465\) −2.41659 1.94288i −0.112067 0.0900991i
\(466\) −11.9548 + 20.7064i −0.553797 + 0.959205i
\(467\) 13.0932i 0.605881i −0.953009 0.302941i \(-0.902032\pi\)
0.953009 0.302941i \(-0.0979684\pi\)
\(468\) 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
\(485\) −18.5057 + 7.17843i −0.840301 + 0.325956i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) 4.67830i 0.211994i 0.994366 + 0.105997i \(0.0338034\pi\)
−0.994366 + 0.105997i \(0.966197\pi\)
\(488\) −2.18655 + 1.26241i −0.0989807 + 0.0571465i
\(489\) −5.55541 −0.251224
\(490\) −14.1053 11.3403i −0.637211 0.512304i
\(491\) −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 \(0.736632\pi\)
\(500\) −0.702877 11.1582i −0.0314336 0.499011i
\(501\) 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 −0.0510969 0.998694i \(-0.516272\pi\)
−0.890443 + 0.455096i \(0.849605\pi\)
\(504\) 3.88510 0.173056
\(505\) −5.70418 14.7051i −0.253833 0.654370i
\(506\) −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
\(515\) 12.3840 4.80379i 0.545702 0.211680i
\(516\) −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
\(520\) 0.442658 0.550585i 0.0194118 0.0241447i
\(521\) −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 −0.859575 0.511009i \(-0.829272\pi\)
0.0127588 + 0.999919i \(0.495939\pi\)
\(524\) −14.4407 −0.630844
\(525\) 4.17231 + 18.9721i 0.182094 + 0.828011i
\(526\) −3.37234 −0.147041
\(527\) 1.06293 + 0.613682i 0.0463019 + 0.0267324i
\(528\) 0.297359i 0.0129409i
\(529\) −30.8048 −1.33934
\(530\) −7.62257 + 9.48106i −0.331103 + 0.411831i
\(531\) 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
\(535\) −24.0806 19.3603i −1.04110 0.837019i
\(536\) 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
\(540\) −1.74269 1.40108i −0.0749934 0.0602931i
\(541\) 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 \(-0.718473\pi\)
0.633721 0.773562i \(-0.281527\pi\)
\(548\) −12.1491 + 7.01426i −0.518982 + 0.299634i
\(549\) −2.52482 −0.107757
\(550\) −1.45210 + 0.319342i −0.0619176 + 0.0136168i
\(551\) −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
\(555\) −11.3914 + 7.43214i −0.483537 + 0.315477i
\(556\) 19.5867 0.830659
\(557\) 7.64850 + 4.41586i 0.324077 + 0.187106i 0.653209 0.757178i \(-0.273422\pi\)
−0.329131 + 0.944284i \(0.606756\pi\)
\(558\) −1.20092 + 0.693350i −0.0508389 + 0.0293519i
\(559\) −1.16025 2.00962i −0.0490735 0.0849977i
\(560\) 8.09933 3.14176i 0.342259 0.132764i
\(561\) 0.263192 0.0111120
\(562\) −18.0352 + 10.4127i −0.760771 + 0.439231i
\(563\) 23.4622i 0.988815i −0.869230 0.494407i \(-0.835385\pi\)
0.869230 0.494407i \(-0.164615\pi\)
\(564\) 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 \(0.343602\pi\)
\(570\) −4.34836 + 5.40855i −0.182133 + 0.226539i
\(571\) 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
\(575\) −24.7320 27.0822i −1.03140 1.12941i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) −8.01405 4.62692i −0.333629 0.192621i 0.323822 0.946118i \(-0.395032\pi\)
−0.657451 + 0.753497i \(0.728365\pi\)
\(578\) 16.2166i 0.674522i
\(579\) −12.2336 21.1891i −0.508409 0.880591i
\(580\) 6.84443 8.51320i 0.284200 0.353491i
\(581\) 25.2120 1.04597
\(582\) 8.87683i 0.367957i
\(583\) 1.40104 + 0.808889i 0.0580250 + 0.0335008i
\(584\) −14.4291 −0.597082
\(585\) 0.658645 0.255491i 0.0272316 0.0105633i
\(586\) 19.5615 0.808080
\(587\) −15.3642 + 8.87053i −0.634149 + 0.366126i −0.782357 0.622830i \(-0.785983\pi\)
0.148208 + 0.988956i \(0.452649\pi\)
\(588\) −7.00959 + 4.04699i −0.289070 + 0.166895i
\(589\) 2.15186 + 3.72713i 0.0886659 + 0.153574i
\(590\) 22.2107 + 17.8569i 0.914401 + 0.735159i
\(591\) −21.8285 −0.897905
\(592\) 4.06388 + 4.52602i 0.167024 + 0.186018i
\(593\) 0.121693i 0.00499735i 0.999997 + 0.00249867i \(0.000795353\pi\)
−0.999997 + 0.00249867i \(0.999205\pi\)
\(594\) −0.148680 + 0.257521i −0.00610040 + 0.0105662i
\(595\) −2.78076 7.16869i −0.114000 0.293888i
\(596\) 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
\(605\) −8.82387 22.7476i −0.358741 0.924820i
\(606\) −7.05378 −0.286540
\(607\) −32.7606 18.9143i −1.32971 0.767710i −0.344457 0.938802i \(-0.611937\pi\)
−0.985255 + 0.171093i \(0.945270\pi\)
\(608\) 2.68777 + 1.55178i 0.109003 + 0.0629332i
\(609\) −9.48953 + 16.4364i −0.384535 + 0.666035i
\(610\) −5.26353 + 2.04174i −0.213114 + 0.0826678i
\(611\) 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 0.149270 0.988796i \(-0.452308\pi\)
−0.781688 + 0.623670i \(0.785641\pi\)
\(614\) −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 −0.0799744 0.996797i \(-0.525484\pi\)
−0.903239 + 0.429139i \(0.858817\pi\)
\(618\) 5.94035i 0.238956i
\(619\) −28.9547 −1.16379 −0.581894 0.813264i \(-0.697688\pi\)
−0.581894 + 0.813264i \(0.697688\pi\)
\(620\) −1.94288 + 2.41659i −0.0780281 + 0.0970525i
\(621\) −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
\(625\) 2.26326 24.8973i 0.0905306 0.995894i
\(626\) 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 \(0.167608\pi\)
−0.864544 + 0.502558i \(0.832392\pi\)
\(644\) 14.2489 24.6799i 0.561487 0.972523i
\(645\) −10.2906 + 12.7997i −0.405194 + 0.503986i
\(646\) 1.37348 2.37893i 0.0540388 0.0935979i
\(647\) −12.9156 + 7.45681i −0.507764 + 0.293158i −0.731914 0.681397i \(-0.761373\pi\)
0.224150 + 0.974555i \(0.428039\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) 1.89493 3.28212i 0.0743827 0.128835i
\(650\) 1.16648 1.06525i 0.0457532 0.0417827i
\(651\) 2.69373 4.66568i 0.105576 0.182863i
\(652\) 5.55541i 0.217566i
\(653\) 19.5857 11.3078i 0.766449 0.442510i −0.0651574 0.997875i \(-0.520755\pi\)
0.831606 + 0.555365i \(0.187422\pi\)
\(654\) 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
\(670\) 0.478500 + 1.23355i 0.0184861 + 0.0476563i
\(671\) 0.375389 + 0.650192i 0.0144917 + 0.0251004i
\(672\) 3.88510i 0.149871i
\(673\) 4.54995 2.62692i 0.175388 0.101260i −0.409736 0.912204i \(-0.634379\pi\)
0.585124 + 0.810944i \(0.301046\pi\)
\(674\) 31.8795 1.22795
\(675\) −3.37170 3.69210i −0.129777 0.142109i
\(676\) −12.9002 −0.496161
\(677\) 32.3513i 1.24336i 0.783271 + 0.621680i \(0.213550\pi\)
−0.783271 + 0.621680i \(0.786450\pi\)
\(678\) −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 0.680728 0.732537i \(-0.261664\pi\)
−0.294032 + 0.955796i \(0.594997\pi\)
\(684\) 1.55178 + 2.68777i 0.0593340 + 0.102769i
\(685\) −29.2455 + 11.3445i −1.11741 + 0.433449i
\(686\) 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
\(690\) −15.2918 + 5.93174i −0.582148 + 0.225817i
\(691\) −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
\(700\) 18.9721 4.17231i 0.717079 0.157698i
\(701\) −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
\(705\) 7.20908 8.96676i 0.271510 0.337708i
\(706\) 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 \(0.209512\pi\)
\(710\) −10.9178 + 4.23505i −0.409737 + 0.158939i
\(711\) 2.45360 0.0920171
\(712\) −4.59596 2.65348i −0.172241 0.0994433i
\(713\) 10.1717i 0.380933i
\(714\) −3.43868 −0.128689
\(715\) −0.163721 0.131629i −0.00612283 0.00492263i
\(716\) −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 \(-0.104833\pi\)
\(720\) −1.40108 + 1.74269i −0.0522153 + 0.0649462i
\(721\) 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
\(725\) 18.0363 16.4711i 0.669851 0.611721i
\(726\) −10.9116 −0.404967
\(727\) 37.6222 21.7212i 1.39533 0.805594i 0.401430 0.915890i \(-0.368513\pi\)
0.993899 + 0.110296i \(0.0351799\pi\)
\(728\) 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 −0.371484 0.928440i \(-0.621151\pi\)
0.618310 + 0.785934i \(0.287817\pi\)
\(734\) 28.4155 1.04883
\(735\) −16.8737 + 6.54536i −0.622394 + 0.241429i
\(736\) 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 \(0.773735\pi\)
\(740\) 7.43214 + 11.3914i 0.273211 + 0.418755i
\(741\) −0.980541 −0.0360211
\(742\) −18.3050 10.5684i −0.671998 0.387978i
\(743\) −15.5183 + 8.95952i −0.569313 + 0.328693i −0.756875 0.653560i \(-0.773275\pi\)
0.187562 + 0.982253i \(0.439941\pi\)
\(744\) 0.693350 + 1.20092i 0.0254195 + 0.0440278i
\(745\) 3.95926 + 10.2068i 0.145056 + 0.373948i
\(746\) −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
\(755\) 8.00711 9.95936i 0.291409 0.362458i
\(756\) 1.94255 3.36459i 0.0706498 0.122369i
\(757\) 4.64047 + 2.67918i 0.168661 + 0.0973763i 0.581954 0.813222i \(-0.302288\pi\)
−0.413293 + 0.910598i \(0.635622\pi\)
\(758\) 18.8795 10.9001i 0.685733 0.395908i
\(759\) 1.09059 + 1.88896i 0.0395860 + 0.0685649i
\(760\) 5.40855 + 4.34836i 0.196189 + 0.157732i
\(761\) −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
\(765\) 1.54245 + 1.24009i 0.0557673 + 0.0448357i
\(766\) 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 \(0.603282\pi\)
\(770\) −0.934232 2.40841i −0.0336674 0.0867931i
\(771\) −10.3608 −0.373134
\(772\) −21.1891 + 12.2336i −0.762614 + 0.440295i
\(773\) −16.7129 + 9.64917i −0.601120 + 0.347057i −0.769482 0.638669i \(-0.779486\pi\)
0.168362 + 0.985725i \(0.446152\pi\)
\(774\) 3.67239 + 6.36076i 0.132001 + 0.228633i
\(775\) −5.11984 + 4.67554i −0.183910 + 0.167950i
\(776\) 8.87683 0.318660