Properties

Label 1110.2.bb.d.1009.5
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 1009.5
Character \(\chi\) \(=\) 1110.1009
Dual form 1110.2.bb.d.1099.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.09232 + 0.788796i) q^{5} +1.00000 q^{6} +(0.268117 - 0.154798i) q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.09232 + 0.788796i) q^{5} +1.00000 q^{6} +(0.268117 - 0.154798i) q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +(-1.41760 - 1.72928i) q^{10} +4.57198 q^{11} +(-0.866025 - 0.500000i) q^{12} +(3.32139 - 1.91760i) q^{13} -0.309595 q^{14} +(-2.20640 + 0.363043i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.86619 - 1.65480i) q^{17} +(-0.866025 + 0.500000i) q^{18} +(-0.688327 - 1.19222i) q^{19} +(0.363043 + 2.20640i) q^{20} +(-0.154798 + 0.268117i) q^{21} +(-3.95946 - 2.28599i) q^{22} -5.47919i q^{23} +(0.500000 + 0.866025i) q^{24} +(3.75560 + 3.30083i) q^{25} -3.83521 q^{26} +1.00000i q^{27} +(0.268117 + 0.154798i) q^{28} -0.690405 q^{29} +(2.09232 + 0.788796i) q^{30} +2.73678 q^{31} +(0.866025 - 0.500000i) q^{32} +(-3.95946 + 2.28599i) q^{33} +(1.65480 + 2.86619i) q^{34} +(0.683091 - 0.112396i) q^{35} +1.00000 q^{36} +(-6.02425 - 0.841687i) q^{37} +1.37665i q^{38} +(-1.91760 + 3.32139i) q^{39} +(0.788796 - 2.09232i) q^{40} +(0.175457 + 0.303900i) q^{41} +(0.268117 - 0.154798i) q^{42} -5.04831i q^{43} +(2.28599 + 3.95946i) q^{44} +(1.72928 - 1.41760i) q^{45} +(-2.73959 + 4.74511i) q^{46} -3.77518i q^{47} -1.00000i q^{48} +(-3.45208 + 5.97917i) q^{49} +(-1.60203 - 4.73640i) q^{50} +3.30960 q^{51} +(3.32139 + 1.91760i) q^{52} +(11.8620 + 6.84854i) q^{53} +(0.500000 - 0.866025i) q^{54} +(9.56605 + 3.60636i) q^{55} +(-0.154798 - 0.268117i) q^{56} +(1.19222 + 0.688327i) q^{57} +(0.597908 + 0.345202i) q^{58} +(5.77406 - 10.0010i) q^{59} +(-1.41760 - 1.72928i) q^{60} +(2.37967 + 4.12172i) q^{61} +(-2.37012 - 1.36839i) q^{62} -0.309595i q^{63} -1.00000 q^{64} +(8.46200 - 1.39234i) q^{65} +4.57198 q^{66} +(-4.13186 + 2.38553i) q^{67} -3.30960i q^{68} +(2.73959 + 4.74511i) q^{69} +(-0.647772 - 0.244208i) q^{70} +(-6.67007 - 11.5529i) q^{71} +(-0.866025 - 0.500000i) q^{72} +13.3833i q^{73} +(4.79631 + 3.74105i) q^{74} +(-4.90286 - 0.980798i) q^{75} +(0.688327 - 1.19222i) q^{76} +(1.22583 - 0.707733i) q^{77} +(3.32139 - 1.91760i) q^{78} +(7.63359 + 13.2218i) q^{79} +(-1.72928 + 1.41760i) q^{80} +(-0.500000 - 0.866025i) q^{81} -0.350914i q^{82} +(-2.66210 - 1.53697i) q^{83} -0.309595 q^{84} +(-4.69170 - 5.72321i) q^{85} +(-2.52416 + 4.37197i) q^{86} +(0.597908 - 0.345202i) q^{87} -4.57198i q^{88} +(5.47776 - 9.48775i) q^{89} +(-2.20640 + 0.363043i) q^{90} +(0.593681 - 1.02829i) q^{91} +(4.74511 - 2.73959i) q^{92} +(-2.37012 + 1.36839i) q^{93} +(-1.88759 + 3.26940i) q^{94} +(-0.499784 - 3.03745i) q^{95} +(-0.500000 + 0.866025i) q^{96} -0.990093i q^{97} +(5.97917 - 3.45208i) q^{98} +(2.28599 - 3.95946i) 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
\(5\) 2.09232 + 0.788796i 0.935714 + 0.352760i
\(6\) 1.00000 0.408248
\(7\) 0.268117 0.154798i 0.101339 0.0585080i −0.448474 0.893796i \(-0.648032\pi\)
0.549813 + 0.835288i \(0.314699\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −1.41760 1.72928i −0.448286 0.546845i
\(11\) 4.57198 1.37851 0.689253 0.724521i \(-0.257939\pi\)
0.689253 + 0.724521i \(0.257939\pi\)
\(12\) −0.866025 0.500000i −0.250000 0.144338i
\(13\) 3.32139 1.91760i 0.921187 0.531848i 0.0371735 0.999309i \(-0.488165\pi\)
0.884014 + 0.467461i \(0.154831\pi\)
\(14\) −0.309595 −0.0827428
\(15\) −2.20640 + 0.363043i −0.569690 + 0.0937372i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.86619 1.65480i −0.695154 0.401347i 0.110386 0.993889i \(-0.464791\pi\)
−0.805540 + 0.592541i \(0.798125\pi\)
\(18\) −0.866025 + 0.500000i −0.204124 + 0.117851i
\(19\) −0.688327 1.19222i −0.157913 0.273513i 0.776203 0.630483i \(-0.217143\pi\)
−0.934116 + 0.356970i \(0.883810\pi\)
\(20\) 0.363043 + 2.20640i 0.0811788 + 0.493366i
\(21\) −0.154798 + 0.268117i −0.0337796 + 0.0585080i
\(22\) −3.95946 2.28599i −0.844159 0.487375i
\(23\) 5.47919i 1.14249i −0.820780 0.571245i \(-0.806461\pi\)
0.820780 0.571245i \(-0.193539\pi\)
\(24\) 0.500000 + 0.866025i 0.102062 + 0.176777i
\(25\) 3.75560 + 3.30083i 0.751120 + 0.660165i
\(26\) −3.83521 −0.752146
\(27\) 1.00000i 0.192450i
\(28\) 0.268117 + 0.154798i 0.0506694 + 0.0292540i
\(29\) −0.690405 −0.128205 −0.0641025 0.997943i \(-0.520418\pi\)
−0.0641025 + 0.997943i \(0.520418\pi\)
\(30\) 2.09232 + 0.788796i 0.382004 + 0.144014i
\(31\) 2.73678 0.491540 0.245770 0.969328i \(-0.420959\pi\)
0.245770 + 0.969328i \(0.420959\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −3.95946 + 2.28599i −0.689253 + 0.397940i
\(34\) 1.65480 + 2.86619i 0.283795 + 0.491548i
\(35\) 0.683091 0.112396i 0.115463 0.0189984i
\(36\) 1.00000 0.166667
\(37\) −6.02425 0.841687i −0.990380 0.138372i
\(38\) 1.37665i 0.223323i
\(39\) −1.91760 + 3.32139i −0.307062 + 0.531848i
\(40\) 0.788796 2.09232i 0.124720 0.330825i
\(41\) 0.175457 + 0.303900i 0.0274017 + 0.0474612i 0.879401 0.476082i \(-0.157943\pi\)
−0.851999 + 0.523543i \(0.824610\pi\)
\(42\) 0.268117 0.154798i 0.0413714 0.0238858i
\(43\) 5.04831i 0.769860i −0.922946 0.384930i \(-0.874226\pi\)
0.922946 0.384930i \(-0.125774\pi\)
\(44\) 2.28599 + 3.95946i 0.344626 + 0.596910i
\(45\) 1.72928 1.41760i 0.257785 0.211324i
\(46\) −2.73959 + 4.74511i −0.403931 + 0.699629i
\(47\) 3.77518i 0.550667i −0.961349 0.275333i \(-0.911212\pi\)
0.961349 0.275333i \(-0.0887882\pi\)
\(48\) 1.00000i 0.144338i
\(49\) −3.45208 + 5.97917i −0.493154 + 0.854167i
\(50\) −1.60203 4.73640i −0.226562 0.669828i
\(51\) 3.30960 0.463436
\(52\) 3.32139 + 1.91760i 0.460594 + 0.265924i
\(53\) 11.8620 + 6.84854i 1.62937 + 0.940720i 0.984280 + 0.176617i \(0.0565155\pi\)
0.645095 + 0.764102i \(0.276818\pi\)
\(54\) 0.500000 0.866025i 0.0680414 0.117851i
\(55\) 9.56605 + 3.60636i 1.28989 + 0.486282i
\(56\) −0.154798 0.268117i −0.0206857 0.0358287i
\(57\) 1.19222 + 0.688327i 0.157913 + 0.0911711i
\(58\) 0.597908 + 0.345202i 0.0785092 + 0.0453273i
\(59\) 5.77406 10.0010i 0.751719 1.30202i −0.195270 0.980750i \(-0.562558\pi\)
0.946989 0.321266i \(-0.104108\pi\)
\(60\) −1.41760 1.72928i −0.183012 0.223249i
\(61\) 2.37967 + 4.12172i 0.304686 + 0.527732i 0.977191 0.212361i \(-0.0681151\pi\)
−0.672505 + 0.740092i \(0.734782\pi\)
\(62\) −2.37012 1.36839i −0.301005 0.173786i
\(63\) 0.309595i 0.0390053i
\(64\) −1.00000 −0.125000
\(65\) 8.46200 1.39234i 1.04958 0.172699i
\(66\) 4.57198 0.562772
\(67\) −4.13186 + 2.38553i −0.504787 + 0.291439i −0.730688 0.682711i \(-0.760801\pi\)
0.225901 + 0.974150i \(0.427467\pi\)
\(68\) 3.30960i 0.401347i
\(69\) 2.73959 + 4.74511i 0.329808 + 0.571245i
\(70\) −0.647772 0.244208i −0.0774236 0.0291884i
\(71\) −6.67007 11.5529i −0.791591 1.37108i −0.924981 0.380013i \(-0.875920\pi\)
0.133390 0.991064i \(-0.457414\pi\)
\(72\) −0.866025 0.500000i −0.102062 0.0589256i
\(73\) 13.3833i 1.56640i 0.621769 + 0.783201i \(0.286414\pi\)
−0.621769 + 0.783201i \(0.713586\pi\)
\(74\) 4.79631 + 3.74105i 0.557560 + 0.434888i
\(75\) −4.90286 0.980798i −0.566133 0.113253i
\(76\) 0.688327 1.19222i 0.0789565 0.136757i
\(77\) 1.22583 0.707733i 0.139696 0.0806536i
\(78\) 3.32139 1.91760i 0.376073 0.217126i
\(79\) 7.63359 + 13.2218i 0.858846 + 1.48757i 0.873030 + 0.487666i \(0.162152\pi\)
−0.0141837 + 0.999899i \(0.504515\pi\)
\(80\) −1.72928 + 1.41760i −0.193339 + 0.158493i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 0.350914i 0.0387519i
\(83\) −2.66210 1.53697i −0.292204 0.168704i 0.346732 0.937964i \(-0.387292\pi\)
−0.638935 + 0.769261i \(0.720625\pi\)
\(84\) −0.309595 −0.0337796
\(85\) −4.69170 5.72321i −0.508886 0.620769i
\(86\) −2.52416 + 4.37197i −0.272187 + 0.471441i
\(87\) 0.597908 0.345202i 0.0641025 0.0370096i
\(88\) 4.57198i 0.487375i
\(89\) 5.47776 9.48775i 0.580641 1.00570i −0.414763 0.909930i \(-0.636135\pi\)
0.995403 0.0957700i \(-0.0305313\pi\)
\(90\) −2.20640 + 0.363043i −0.232575 + 0.0382680i
\(91\) 0.593681 1.02829i 0.0622347 0.107794i
\(92\) 4.74511 2.73959i 0.494712 0.285622i
\(93\) −2.37012 + 1.36839i −0.245770 + 0.141895i
\(94\) −1.88759 + 3.26940i −0.194690 + 0.337213i
\(95\) −0.499784 3.03745i −0.0512767 0.311636i
\(96\) −0.500000 + 0.866025i −0.0510310 + 0.0883883i
\(97\) 0.990093i 0.100529i −0.998736 0.0502644i \(-0.983994\pi\)
0.998736 0.0502644i \(-0.0160064\pi\)
\(98\) 5.97917 3.45208i 0.603987 0.348712i
\(99\) 2.28599 3.95946i 0.229751 0.397940i
\(100\) −0.980798 + 4.90286i −0.0980798 + 0.490286i
\(101\) 13.4339 1.33672 0.668360 0.743838i \(-0.266997\pi\)
0.668360 + 0.743838i \(0.266997\pi\)
\(102\) −2.86619 1.65480i −0.283795 0.163849i
\(103\) 5.80947i 0.572424i 0.958166 + 0.286212i \(0.0923961\pi\)
−0.958166 + 0.286212i \(0.907604\pi\)
\(104\) −1.91760 3.32139i −0.188037 0.325689i
\(105\) −0.535376 + 0.438884i −0.0522474 + 0.0428307i
\(106\) −6.84854 11.8620i −0.665189 1.15214i
\(107\) 6.31907 3.64832i 0.610888 0.352696i −0.162425 0.986721i \(-0.551932\pi\)
0.773313 + 0.634025i \(0.218598\pi\)
\(108\) −0.866025 + 0.500000i −0.0833333 + 0.0481125i
\(109\) 6.46495 11.1976i 0.619229 1.07254i −0.370397 0.928873i \(-0.620778\pi\)
0.989627 0.143663i \(-0.0458883\pi\)
\(110\) −6.48126 7.90623i −0.617964 0.753829i
\(111\) 5.63800 2.28320i 0.535135 0.216712i
\(112\) 0.309595i 0.0292540i
\(113\) 2.12749 + 1.22831i 0.200138 + 0.115549i 0.596720 0.802450i \(-0.296470\pi\)
−0.396582 + 0.917999i \(0.629804\pi\)
\(114\) −0.688327 1.19222i −0.0644677 0.111661i
\(115\) 4.32196 11.4642i 0.403025 1.06904i
\(116\) −0.345202 0.597908i −0.0320512 0.0555144i
\(117\) 3.83521i 0.354565i
\(118\) −10.0010 + 5.77406i −0.920664 + 0.531546i
\(119\) −1.02464 −0.0939282
\(120\) 0.363043 + 2.20640i 0.0331411 + 0.201416i
\(121\) 9.90305 0.900277
\(122\) 4.75935i 0.430891i
\(123\) −0.303900 0.175457i −0.0274017 0.0158204i
\(124\) 1.36839 + 2.37012i 0.122885 + 0.212843i
\(125\) 5.25424 + 9.86879i 0.469954 + 0.882691i
\(126\) −0.154798 + 0.268117i −0.0137905 + 0.0238858i
\(127\) 1.18210 + 0.682488i 0.104895 + 0.0605610i 0.551530 0.834155i \(-0.314044\pi\)
−0.446635 + 0.894716i \(0.647378\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 2.52416 + 4.37197i 0.222239 + 0.384930i
\(130\) −8.02448 3.02520i −0.703793 0.265327i
\(131\) 5.74528 9.95113i 0.501968 0.869434i −0.498030 0.867160i \(-0.665943\pi\)
0.999997 0.00227379i \(-0.000723771\pi\)
\(132\) −3.95946 2.28599i −0.344626 0.198970i
\(133\) −0.369105 0.213103i −0.0320055 0.0184784i
\(134\) 4.77106 0.412157
\(135\) −0.788796 + 2.09232i −0.0678887 + 0.180078i
\(136\) −1.65480 + 2.86619i −0.141898 + 0.245774i
\(137\) 9.54995i 0.815908i 0.913003 + 0.407954i \(0.133758\pi\)
−0.913003 + 0.407954i \(0.866242\pi\)
\(138\) 5.47919i 0.466419i
\(139\) −1.30897 + 2.26721i −0.111026 + 0.192302i −0.916184 0.400758i \(-0.868747\pi\)
0.805158 + 0.593060i \(0.202080\pi\)
\(140\) 0.438884 + 0.535376i 0.0370924 + 0.0452475i
\(141\) 1.88759 + 3.26940i 0.158964 + 0.275333i
\(142\) 13.3401i 1.11948i
\(143\) 15.1853 8.76726i 1.26986 0.733155i
\(144\) 0.500000 + 0.866025i 0.0416667 + 0.0721688i
\(145\) −1.44455 0.544588i −0.119963 0.0452256i
\(146\) 6.69167 11.5903i 0.553806 0.959221i
\(147\) 6.90415i 0.569445i
\(148\) −2.28320 5.63800i −0.187678 0.463440i
\(149\) −6.42401 −0.526276 −0.263138 0.964758i \(-0.584757\pi\)
−0.263138 + 0.964758i \(0.584757\pi\)
\(150\) 3.75560 + 3.30083i 0.306644 + 0.269511i
\(151\) −2.44034 4.22679i −0.198592 0.343972i 0.749480 0.662027i \(-0.230304\pi\)
−0.948072 + 0.318055i \(0.896970\pi\)
\(152\) −1.19222 + 0.688327i −0.0967016 + 0.0558307i
\(153\) −2.86619 + 1.65480i −0.231718 + 0.133782i
\(154\) −1.41547 −0.114061
\(155\) 5.72621 + 2.15876i 0.459940 + 0.173396i
\(156\) −3.83521 −0.307062
\(157\) −8.03324 4.63800i −0.641123 0.370152i 0.143924 0.989589i \(-0.454028\pi\)
−0.785047 + 0.619436i \(0.787361\pi\)
\(158\) 15.2672i 1.21459i
\(159\) −13.6971 −1.08625
\(160\) 2.20640 0.363043i 0.174431 0.0287010i
\(161\) −0.848165 1.46907i −0.0668448 0.115779i
\(162\) 1.00000i 0.0785674i
\(163\) 11.3462 + 6.55071i 0.888700 + 0.513091i 0.873517 0.486794i \(-0.161834\pi\)
0.0151830 + 0.999885i \(0.495167\pi\)
\(164\) −0.175457 + 0.303900i −0.0137009 + 0.0237306i
\(165\) −10.0876 + 1.65982i −0.785321 + 0.129217i
\(166\) 1.53697 + 2.66210i 0.119292 + 0.206619i
\(167\) −18.9448 + 10.9378i −1.46599 + 0.846392i −0.999277 0.0380142i \(-0.987897\pi\)
−0.466717 + 0.884407i \(0.654563\pi\)
\(168\) 0.268117 + 0.154798i 0.0206857 + 0.0119429i
\(169\) 0.854410 1.47988i 0.0657238 0.113837i
\(170\) 1.20152 + 7.30229i 0.0921527 + 0.560060i
\(171\) −1.37665 −0.105275
\(172\) 4.37197 2.52416i 0.333359 0.192465i
\(173\) 3.66596 + 2.11655i 0.278718 + 0.160918i 0.632843 0.774280i \(-0.281888\pi\)
−0.354125 + 0.935198i \(0.615221\pi\)
\(174\) −0.690405 −0.0523394
\(175\) 1.51790 + 0.303651i 0.114743 + 0.0229538i
\(176\) −2.28599 + 3.95946i −0.172313 + 0.298455i
\(177\) 11.5481i 0.868011i
\(178\) −9.48775 + 5.47776i −0.711137 + 0.410575i
\(179\) −18.1757 −1.35852 −0.679260 0.733898i \(-0.737699\pi\)
−0.679260 + 0.733898i \(0.737699\pi\)
\(180\) 2.09232 + 0.788796i 0.155952 + 0.0587934i
\(181\) 3.63216 + 6.29109i 0.269977 + 0.467613i 0.968855 0.247627i \(-0.0796507\pi\)
−0.698879 + 0.715240i \(0.746317\pi\)
\(182\) −1.02829 + 0.593681i −0.0762216 + 0.0440066i
\(183\) −4.12172 2.37967i −0.304686 0.175911i
\(184\) −5.47919 −0.403931
\(185\) −11.9407 6.51298i −0.877900 0.478844i
\(186\) 2.73678 0.200670
\(187\) −13.1042 7.56571i −0.958274 0.553260i
\(188\) 3.26940 1.88759i 0.238446 0.137667i
\(189\) 0.154798 + 0.268117i 0.0112599 + 0.0195027i
\(190\) −1.08590 + 2.88040i −0.0787794 + 0.208966i
\(191\) −3.42110 −0.247542 −0.123771 0.992311i \(-0.539499\pi\)
−0.123771 + 0.992311i \(0.539499\pi\)
\(192\) 0.866025 0.500000i 0.0625000 0.0360844i
\(193\) 19.2854i 1.38819i 0.719883 + 0.694096i \(0.244195\pi\)
−0.719883 + 0.694096i \(0.755805\pi\)
\(194\) −0.495047 + 0.857446i −0.0355423 + 0.0615610i
\(195\) −6.63214 + 5.43681i −0.474937 + 0.389338i
\(196\) −6.90415 −0.493154
\(197\) 7.69610 + 4.44334i 0.548324 + 0.316575i 0.748446 0.663196i \(-0.230800\pi\)
−0.200122 + 0.979771i \(0.564134\pi\)
\(198\) −3.95946 + 2.28599i −0.281386 + 0.162458i
\(199\) −12.5562 −0.890082 −0.445041 0.895510i \(-0.646811\pi\)
−0.445041 + 0.895510i \(0.646811\pi\)
\(200\) 3.30083 3.75560i 0.233404 0.265561i
\(201\) 2.38553 4.13186i 0.168262 0.291439i
\(202\) −11.6341 6.71693i −0.818570 0.472602i
\(203\) −0.185110 + 0.106873i −0.0129921 + 0.00750102i
\(204\) 1.65480 + 2.86619i 0.115859 + 0.200674i
\(205\) 0.127397 + 0.774256i 0.00889776 + 0.0540764i
\(206\) 2.90473 5.03115i 0.202382 0.350537i
\(207\) −4.74511 2.73959i −0.329808 0.190415i
\(208\) 3.83521i 0.265924i
\(209\) −3.14702 5.45080i −0.217684 0.377040i
\(210\) 0.683091 0.112396i 0.0471378 0.00775608i
\(211\) −19.5648 −1.34689 −0.673447 0.739235i \(-0.735187\pi\)
−0.673447 + 0.739235i \(0.735187\pi\)
\(212\) 13.6971i 0.940720i
\(213\) 11.5529 + 6.67007i 0.791591 + 0.457025i
\(214\) −7.29664 −0.498788
\(215\) 3.98209 10.5627i 0.271576 0.720369i
\(216\) 1.00000 0.0680414
\(217\) 0.733778 0.423647i 0.0498121 0.0287590i
\(218\) −11.1976 + 6.46495i −0.758398 + 0.437861i
\(219\) −6.69167 11.5903i −0.452181 0.783201i
\(220\) 1.65982 + 10.0876i 0.111905 + 0.680108i
\(221\) −12.6930 −0.853823
\(222\) −6.02425 0.841687i −0.404321 0.0564903i
\(223\) 3.99326i 0.267408i −0.991021 0.133704i \(-0.957313\pi\)
0.991021 0.133704i \(-0.0426872\pi\)
\(224\) 0.154798 0.268117i 0.0103429 0.0179144i
\(225\) 4.73640 1.60203i 0.315760 0.106802i
\(226\) −1.22831 2.12749i −0.0817058 0.141519i
\(227\) −23.6856 + 13.6749i −1.57207 + 0.907633i −0.576150 + 0.817344i \(0.695446\pi\)
−0.995916 + 0.0902890i \(0.971221\pi\)
\(228\) 1.37665i 0.0911711i
\(229\) 11.8978 + 20.6075i 0.786226 + 1.36178i 0.928264 + 0.371922i \(0.121301\pi\)
−0.142038 + 0.989861i \(0.545365\pi\)
\(230\) −9.47503 + 7.76732i −0.624765 + 0.512162i
\(231\) −0.707733 + 1.22583i −0.0465654 + 0.0806536i
\(232\) 0.690405i 0.0453273i
\(233\) 25.6377i 1.67958i 0.542910 + 0.839791i \(0.317322\pi\)
−0.542910 + 0.839791i \(0.682678\pi\)
\(234\) −1.91760 + 3.32139i −0.125358 + 0.217126i
\(235\) 2.97785 7.89888i 0.194253 0.515266i
\(236\) 11.5481 0.751719
\(237\) −13.2218 7.63359i −0.858846 0.495855i
\(238\) 0.887360 + 0.512318i 0.0575190 + 0.0332086i
\(239\) −3.08398 + 5.34161i −0.199486 + 0.345520i −0.948362 0.317190i \(-0.897261\pi\)
0.748876 + 0.662710i \(0.230594\pi\)
\(240\) 0.788796 2.09232i 0.0509166 0.135059i
\(241\) 2.00641 + 3.47521i 0.129244 + 0.223858i 0.923384 0.383878i \(-0.125412\pi\)
−0.794140 + 0.607735i \(0.792078\pi\)
\(242\) −8.57629 4.95152i −0.551305 0.318296i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) −2.37967 + 4.12172i −0.152343 + 0.263866i
\(245\) −11.9392 + 9.78735i −0.762767 + 0.625291i
\(246\) 0.175457 + 0.303900i 0.0111867 + 0.0193760i
\(247\) −4.57240 2.63988i −0.290935 0.167971i
\(248\) 2.73678i 0.173786i
\(249\) 3.07393 0.194803
\(250\) 0.384086 11.1737i 0.0242917 0.706689i
\(251\) 16.7469 1.05706 0.528528 0.848916i \(-0.322744\pi\)
0.528528 + 0.848916i \(0.322744\pi\)
\(252\) 0.268117 0.154798i 0.0168898 0.00975134i
\(253\) 25.0508i 1.57493i
\(254\) −0.682488 1.18210i −0.0428231 0.0741718i
\(255\) 6.92473 + 2.61060i 0.433643 + 0.163482i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −1.60041 0.923995i −0.0998306 0.0576372i 0.449253 0.893404i \(-0.351690\pi\)
−0.549084 + 0.835767i \(0.685023\pi\)
\(258\) 5.04831i 0.314294i
\(259\) −1.74550 + 0.706869i −0.108460 + 0.0439227i
\(260\) 5.43681 + 6.63214i 0.337176 + 0.411308i
\(261\) −0.345202 + 0.597908i −0.0213675 + 0.0370096i
\(262\) −9.95113 + 5.74528i −0.614783 + 0.354945i
\(263\) 6.35247 3.66760i 0.391710 0.226154i −0.291191 0.956665i \(-0.594051\pi\)
0.682901 + 0.730511i \(0.260718\pi\)
\(264\) 2.28599 + 3.95946i 0.140693 + 0.243688i
\(265\) 19.4170 + 23.6861i 1.19278 + 1.45502i
\(266\) 0.213103 + 0.369105i 0.0130662 + 0.0226313i
\(267\) 10.9555i 0.670466i
\(268\) −4.13186 2.38553i −0.252394 0.145720i
\(269\) −16.3744 −0.998363 −0.499181 0.866498i \(-0.666366\pi\)
−0.499181 + 0.866498i \(0.666366\pi\)
\(270\) 1.72928 1.41760i 0.105240 0.0862726i
\(271\) −4.72672 + 8.18692i −0.287128 + 0.497320i −0.973123 0.230286i \(-0.926034\pi\)
0.685995 + 0.727606i \(0.259367\pi\)
\(272\) 2.86619 1.65480i 0.173789 0.100337i
\(273\) 1.18736i 0.0718625i
\(274\) 4.77498 8.27050i 0.288467 0.499639i
\(275\) 17.1706 + 15.0913i 1.03542 + 0.910041i
\(276\) −2.73959 + 4.74511i −0.164904 + 0.285622i
\(277\) −7.62602 + 4.40289i −0.458203 + 0.264544i −0.711289 0.702900i \(-0.751888\pi\)
0.253085 + 0.967444i \(0.418555\pi\)
\(278\) 2.26721 1.30897i 0.135978 0.0785071i
\(279\) 1.36839 2.37012i 0.0819233 0.141895i
\(280\) −0.112396 0.683091i −0.00671696 0.0408225i
\(281\) −1.60303 + 2.77653i −0.0956286 + 0.165634i −0.909871 0.414892i \(-0.863819\pi\)
0.814242 + 0.580525i \(0.197153\pi\)
\(282\) 3.77518i 0.224809i
\(283\) 17.6209 10.1734i 1.04745 0.604748i 0.125519 0.992091i \(-0.459941\pi\)
0.921936 + 0.387343i \(0.126607\pi\)
\(284\) 6.67007 11.5529i 0.395796 0.685538i
\(285\) 1.95155 + 2.38062i 0.115600 + 0.141016i
\(286\) −17.5345 −1.03684
\(287\) 0.0940861 + 0.0543206i 0.00555372 + 0.00320644i
\(288\) 1.00000i 0.0589256i
\(289\) −3.02329 5.23649i −0.177841 0.308029i
\(290\) 0.978720 + 1.19390i 0.0574724 + 0.0701083i
\(291\) 0.495047 + 0.857446i 0.0290201 + 0.0502644i
\(292\) −11.5903 + 6.69167i −0.678272 + 0.391600i
\(293\) 16.0621 9.27344i 0.938357 0.541760i 0.0489118 0.998803i \(-0.484425\pi\)
0.889445 + 0.457043i \(0.151091\pi\)
\(294\) −3.45208 + 5.97917i −0.201329 + 0.348712i
\(295\) 19.9699 16.3707i 1.16269 0.953137i
\(296\) −0.841687 + 6.02425i −0.0489220 + 0.350152i
\(297\) 4.57198i 0.265293i
\(298\) 5.56336 + 3.21201i 0.322277 + 0.186067i
\(299\) −10.5069 18.1985i −0.607630 1.05245i
\(300\) −1.60203 4.73640i −0.0924935 0.273456i
\(301\) −0.781467 1.35354i −0.0450430 0.0780168i
\(302\) 4.88068i 0.280852i
\(303\) −11.6341 + 6.71693i −0.668360 + 0.385878i
\(304\) 1.37665 0.0789565
\(305\) 1.72785 + 10.5010i 0.0989361 + 0.601287i
\(306\) 3.30960 0.189197
\(307\) 2.00272i 0.114301i 0.998366 + 0.0571506i \(0.0182015\pi\)
−0.998366 + 0.0571506i \(0.981798\pi\)
\(308\) 1.22583 + 0.707733i 0.0698481 + 0.0403268i
\(309\) −2.90473 5.03115i −0.165245 0.286212i
\(310\) −3.87967 4.73265i −0.220350 0.268796i
\(311\) 12.6672 21.9402i 0.718290 1.24411i −0.243387 0.969929i \(-0.578259\pi\)
0.961677 0.274185i \(-0.0884082\pi\)
\(312\) 3.32139 + 1.91760i 0.188037 + 0.108563i
\(313\) −29.0006 16.7435i −1.63921 0.946398i −0.981106 0.193470i \(-0.938026\pi\)
−0.658103 0.752928i \(-0.728641\pi\)
\(314\) 4.63800 + 8.03324i 0.261737 + 0.453342i
\(315\) 0.244208 0.647772i 0.0137595 0.0364978i
\(316\) −7.63359 + 13.2218i −0.429423 + 0.743783i
\(317\) −26.9267 15.5461i −1.51235 0.873158i −0.999896 0.0144452i \(-0.995402\pi\)
−0.512458 0.858712i \(-0.671265\pi\)
\(318\) 11.8620 + 6.84854i 0.665189 + 0.384047i
\(319\) −3.15652 −0.176731
\(320\) −2.09232 0.788796i −0.116964 0.0440950i
\(321\) −3.64832 + 6.31907i −0.203629 + 0.352696i
\(322\) 1.69633i 0.0945328i
\(323\) 4.55617i 0.253512i
\(324\) 0.500000 0.866025i 0.0277778 0.0481125i
\(325\) 18.8035 + 3.76156i 1.04303 + 0.208654i
\(326\) −6.55071 11.3462i −0.362810 0.628406i
\(327\) 12.9299i 0.715025i
\(328\) 0.303900 0.175457i 0.0167801 0.00968798i
\(329\) −0.584389 1.01219i −0.0322184 0.0558039i
\(330\) 9.56605 + 3.60636i 0.526594 + 0.198524i
\(331\) −15.1793 + 26.2913i −0.834328 + 1.44510i 0.0602485 + 0.998183i \(0.480811\pi\)
−0.894576 + 0.446915i \(0.852523\pi\)
\(332\) 3.07393i 0.168704i
\(333\) −3.74105 + 4.79631i −0.205008 + 0.262836i
\(334\) 21.8756 1.19698
\(335\) −10.5269 + 1.73210i −0.575145 + 0.0946347i
\(336\) −0.154798 0.268117i −0.00844491 0.0146270i
\(337\) −10.2584 + 5.92268i −0.558809 + 0.322629i −0.752668 0.658401i \(-0.771233\pi\)
0.193858 + 0.981030i \(0.437900\pi\)
\(338\) −1.47988 + 0.854410i −0.0804949 + 0.0464738i
\(339\) −2.45662 −0.133425
\(340\) 2.61060 6.92473i 0.141579 0.375546i
\(341\) 12.5125 0.677590
\(342\) 1.19222 + 0.688327i 0.0644677 + 0.0372205i
\(343\) 4.30466i 0.232430i
\(344\) −5.04831 −0.272187
\(345\) 1.98918 + 12.0893i 0.107094 + 0.650865i
\(346\) −2.11655 3.66596i −0.113786 0.197083i
\(347\) 1.18913i 0.0638360i 0.999490 + 0.0319180i \(0.0101615\pi\)
−0.999490 + 0.0319180i \(0.989838\pi\)
\(348\) 0.597908 + 0.345202i 0.0320512 + 0.0185048i
\(349\) −3.71744 + 6.43879i −0.198990 + 0.344660i −0.948201 0.317671i \(-0.897099\pi\)
0.749211 + 0.662331i \(0.230433\pi\)
\(350\) −1.16272 1.02192i −0.0621498 0.0546239i
\(351\) 1.91760 + 3.32139i 0.102354 + 0.177283i
\(352\) 3.95946 2.28599i 0.211040 0.121844i
\(353\) −12.2088 7.04878i −0.649811 0.375169i 0.138573 0.990352i \(-0.455749\pi\)
−0.788384 + 0.615184i \(0.789082\pi\)
\(354\) 5.77406 10.0010i 0.306888 0.531546i
\(355\) −4.84304 29.4337i −0.257042 1.56218i
\(356\) 10.9555 0.580641
\(357\) 0.887360 0.512318i 0.0469641 0.0271147i
\(358\) 15.7407 + 9.08787i 0.831920 + 0.480309i
\(359\) 1.41624 0.0747465 0.0373733 0.999301i \(-0.488101\pi\)
0.0373733 + 0.999301i \(0.488101\pi\)
\(360\) −1.41760 1.72928i −0.0747143 0.0911409i
\(361\) 8.55241 14.8132i 0.450127 0.779643i
\(362\) 7.26433i 0.381805i
\(363\) −8.57629 + 4.95152i −0.450138 + 0.259888i
\(364\) 1.18736 0.0622347
\(365\) −10.5567 + 28.0022i −0.552564 + 1.46570i
\(366\) 2.37967 + 4.12172i 0.124388 + 0.215446i
\(367\) 16.3472 9.43807i 0.853318 0.492663i −0.00845116 0.999964i \(-0.502690\pi\)
0.861769 + 0.507301i \(0.169357\pi\)
\(368\) 4.74511 + 2.73959i 0.247356 + 0.142811i
\(369\) 0.350914 0.0182678
\(370\) 7.08449 + 11.6108i 0.368305 + 0.603615i
\(371\) 4.24055 0.220159
\(372\) −2.37012 1.36839i −0.122885 0.0709476i
\(373\) −19.4504 + 11.2297i −1.00710 + 0.581451i −0.910342 0.413857i \(-0.864181\pi\)
−0.0967600 + 0.995308i \(0.530848\pi\)
\(374\) 7.56571 + 13.1042i 0.391214 + 0.677602i
\(375\) −9.48470 5.91950i −0.489788 0.305682i
\(376\) −3.77518 −0.194690
\(377\) −2.29310 + 1.32392i −0.118101 + 0.0681855i
\(378\) 0.309595i 0.0159239i
\(379\) 17.5279 30.3592i 0.900347 1.55945i 0.0733034 0.997310i \(-0.476646\pi\)
0.827044 0.562137i \(-0.190021\pi\)
\(380\) 2.38062 1.95155i 0.122123 0.100112i
\(381\) −1.36498 −0.0699298
\(382\) 2.96276 + 1.71055i 0.151588 + 0.0875193i
\(383\) 10.7629 6.21395i 0.549957 0.317518i −0.199148 0.979969i \(-0.563817\pi\)
0.749105 + 0.662452i \(0.230484\pi\)
\(384\) −1.00000 −0.0510310
\(385\) 3.12308 0.513874i 0.159167 0.0261894i
\(386\) 9.64268 16.7016i 0.490800 0.850090i
\(387\) −4.37197 2.52416i −0.222239 0.128310i
\(388\) 0.857446 0.495047i 0.0435302 0.0251322i
\(389\) −12.6077 21.8372i −0.639235 1.10719i −0.985601 0.169088i \(-0.945918\pi\)
0.346366 0.938100i \(-0.387416\pi\)
\(390\) 8.46200 1.39234i 0.428490 0.0705041i
\(391\) −9.06694 + 15.7044i −0.458535 + 0.794206i
\(392\) 5.97917 + 3.45208i 0.301994 + 0.174356i
\(393\) 11.4906i 0.579623i
\(394\) −4.44334 7.69610i −0.223852 0.387724i
\(395\) 5.54264 + 33.6855i 0.278880 + 1.69490i
\(396\) 4.57198 0.229751
\(397\) 6.79635i 0.341099i −0.985349 0.170550i \(-0.945446\pi\)
0.985349 0.170550i \(-0.0545543\pi\)
\(398\) 10.8739 + 6.27808i 0.545062 + 0.314692i
\(399\) 0.426206 0.0213370
\(400\) −4.73640 + 1.60203i −0.236820 + 0.0801017i
\(401\) −4.27501 −0.213484 −0.106742 0.994287i \(-0.534042\pi\)
−0.106742 + 0.994287i \(0.534042\pi\)
\(402\) −4.13186 + 2.38553i −0.206079 + 0.118980i
\(403\) 9.08990 5.24805i 0.452800 0.261424i
\(404\) 6.71693 + 11.6341i 0.334180 + 0.578817i
\(405\) −0.363043 2.20640i −0.0180397 0.109637i
\(406\) 0.213746 0.0106080
\(407\) −27.5428 3.84818i −1.36524 0.190747i
\(408\) 3.30960i 0.163849i
\(409\) 4.25865 7.37620i 0.210577 0.364730i −0.741318 0.671153i \(-0.765799\pi\)
0.951895 + 0.306424i \(0.0991325\pi\)
\(410\) 0.276799 0.734223i 0.0136701 0.0362607i
\(411\) −4.77498 8.27050i −0.235532 0.407954i
\(412\) −5.03115 + 2.90473i −0.247867 + 0.143106i
\(413\) 3.57525i 0.175926i
\(414\) 2.73959 + 4.74511i 0.134644 + 0.233210i
\(415\) −4.35762 5.31568i −0.213907 0.260936i
\(416\) 1.91760 3.32139i 0.0940183 0.162844i
\(417\) 2.61795i 0.128202i
\(418\) 6.29404i 0.307852i
\(419\) −8.64775 + 14.9783i −0.422470 + 0.731740i −0.996180 0.0873184i \(-0.972170\pi\)
0.573710 + 0.819058i \(0.305504\pi\)
\(420\) −0.647772 0.244208i −0.0316081 0.0119161i
\(421\) −14.3686 −0.700282 −0.350141 0.936697i \(-0.613866\pi\)
−0.350141 + 0.936697i \(0.613866\pi\)
\(422\) 16.9436 + 9.78239i 0.824801 + 0.476199i
\(423\) −3.26940 1.88759i −0.158964 0.0917778i
\(424\) 6.84854 11.8620i 0.332595 0.576071i
\(425\) −5.30208 15.6756i −0.257189 0.760377i
\(426\) −6.67007 11.5529i −0.323166 0.559740i
\(427\) 1.27606 + 0.736736i 0.0617531 + 0.0356532i
\(428\) 6.31907 + 3.64832i 0.305444 + 0.176348i
\(429\) −8.76726 + 15.1853i −0.423287 + 0.733155i
\(430\) −8.72993 + 7.15651i −0.420995 + 0.345117i
\(431\) 11.6582 + 20.1926i 0.561557 + 0.972645i 0.997361 + 0.0726036i \(0.0231308\pi\)
−0.435804 + 0.900042i \(0.643536\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 30.7382i 1.47718i −0.674154 0.738591i \(-0.735491\pi\)
0.674154 0.738591i \(-0.264509\pi\)
\(434\) −0.847293 −0.0406714
\(435\) 1.52331 0.250646i 0.0730371 0.0120176i
\(436\) 12.9299 0.619229
\(437\) −6.53238 + 3.77147i −0.312486 + 0.180414i
\(438\) 13.3833i 0.639481i
\(439\) −18.6368 32.2798i −0.889484 1.54063i −0.840486 0.541833i \(-0.817731\pi\)
−0.0489981 0.998799i \(-0.515603\pi\)
\(440\) 3.60636 9.56605i 0.171927 0.456044i
\(441\) 3.45208 + 5.97917i 0.164385 + 0.284722i
\(442\) 10.9924 + 6.34649i 0.522857 + 0.301872i
\(443\) 15.5587i 0.739218i −0.929187 0.369609i \(-0.879492\pi\)
0.929187 0.369609i \(-0.120508\pi\)
\(444\) 4.79631 + 3.74105i 0.227623 + 0.177542i
\(445\) 18.9451 15.5306i 0.898085 0.736220i
\(446\) −1.99663 + 3.45826i −0.0945431 + 0.163753i
\(447\) 5.56336 3.21201i 0.263138 0.151923i
\(448\) −0.268117 + 0.154798i −0.0126674 + 0.00731350i
\(449\) 0.541729 + 0.938301i 0.0255658 + 0.0442812i 0.878525 0.477696i \(-0.158528\pi\)
−0.852959 + 0.521977i \(0.825195\pi\)
\(450\) −4.90286 0.980798i −0.231123 0.0462353i
\(451\) 0.802186 + 1.38943i 0.0377735 + 0.0654255i
\(452\) 2.45662i 0.115549i
\(453\) 4.22679 + 2.44034i 0.198592 + 0.114657i
\(454\) 27.3497 1.28359
\(455\) 2.05328 1.68321i 0.0962592 0.0789101i
\(456\) 0.688327 1.19222i 0.0322339 0.0558307i
\(457\) 21.6972 12.5269i 1.01495 0.585984i 0.102316 0.994752i \(-0.467375\pi\)
0.912638 + 0.408768i \(0.134042\pi\)
\(458\) 23.7955i 1.11189i
\(459\) 1.65480 2.86619i 0.0772393 0.133782i
\(460\) 12.0893 1.98918i 0.563665 0.0927459i
\(461\) −5.11582 + 8.86086i −0.238267 + 0.412691i −0.960217 0.279254i \(-0.909913\pi\)
0.721950 + 0.691945i \(0.243246\pi\)
\(462\) 1.22583 0.707733i 0.0570307 0.0329267i
\(463\) 14.3453 8.28227i 0.666683 0.384910i −0.128135 0.991757i \(-0.540899\pi\)
0.794819 + 0.606847i \(0.207566\pi\)
\(464\) 0.345202 0.597908i 0.0160256 0.0277572i
\(465\) −6.03842 + 0.993566i −0.280025 + 0.0460755i
\(466\) 12.8189 22.2029i 0.593822 1.02853i
\(467\) 26.1213i 1.20875i 0.796699 + 0.604376i \(0.206577\pi\)
−0.796699 + 0.604376i \(0.793423\pi\)
\(468\) 3.32139 1.91760i 0.153531 0.0886413i
\(469\) −0.738550 + 1.27921i −0.0341031 + 0.0590682i
\(470\) −6.52833 + 5.35171i −0.301130 + 0.246856i
\(471\) 9.27599 0.427415
\(472\) −10.0010 5.77406i −0.460332 0.265773i
\(473\) 23.0808i 1.06126i
\(474\) 7.63359 + 13.2218i 0.350623 + 0.607296i
\(475\) 1.35022 6.74954i 0.0619523 0.309690i
\(476\) −0.512318 0.887360i −0.0234820 0.0406721i
\(477\) 11.8620 6.84854i 0.543125 0.313573i
\(478\) 5.34161 3.08398i 0.244319 0.141058i
\(479\) 2.17164 3.76140i 0.0992250 0.171863i −0.812139 0.583464i \(-0.801697\pi\)
0.911364 + 0.411601i \(0.135030\pi\)
\(480\) −1.72928 + 1.41760i −0.0789303 + 0.0647045i
\(481\) −21.6229 + 8.75655i −0.985919 + 0.399265i
\(482\) 4.01282i 0.182779i
\(483\) 1.46907 + 0.848165i 0.0668448 + 0.0385929i
\(484\) 4.95152 + 8.57629i 0.225069 + 0.389831i
\(485\) 0.780981 2.07159i 0.0354625 0.0940661i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) 13.9410i 0.631728i −0.948804 0.315864i \(-0.897706\pi\)
0.948804 0.315864i \(-0.102294\pi\)
\(488\) 4.12172 2.37967i 0.186581 0.107723i
\(489\) −13.1014 −0.592467
\(490\) 15.2333 2.50650i 0.688171 0.113232i
\(491\) −28.8479 −1.30189 −0.650943 0.759127i \(-0.725626\pi\)
−0.650943 + 0.759127i \(0.725626\pi\)
\(492\) 0.350914i 0.0158204i
\(493\) 1.97883 + 1.14248i 0.0891222 + 0.0514547i
\(494\) 2.63988 + 4.57240i 0.118774 + 0.205722i
\(495\) 7.90623 6.48126i 0.355359 0.291311i
\(496\) −1.36839 + 2.37012i −0.0614425 + 0.106421i
\(497\) −3.57672 2.06502i −0.160438 0.0926289i
\(498\) −2.66210 1.53697i −0.119292 0.0688731i
\(499\) 16.1947 + 28.0501i 0.724976 + 1.25570i 0.958984 + 0.283461i \(0.0914827\pi\)
−0.234007 + 0.972235i \(0.575184\pi\)
\(500\) −5.91950 + 9.48470i −0.264728 + 0.424169i
\(501\) 10.9378 18.9448i 0.488665 0.846392i
\(502\) −14.5033 8.37346i −0.647312 0.373726i
\(503\) 6.88500 + 3.97506i 0.306987 + 0.177239i 0.645577 0.763695i \(-0.276617\pi\)
−0.338590 + 0.940934i \(0.609950\pi\)
\(504\) −0.309595 −0.0137905
\(505\) 28.1079 + 10.5966i 1.25079 + 0.471541i
\(506\) −12.5254 + 21.6946i −0.556821 + 0.964442i
\(507\) 1.70882i 0.0758913i
\(508\) 1.36498i 0.0605610i
\(509\) −18.3769 + 31.8297i −0.814541 + 1.41083i 0.0951156 + 0.995466i \(0.469678\pi\)
−0.909657 + 0.415361i \(0.863655\pi\)
\(510\) −4.69170 5.72321i −0.207752 0.253428i
\(511\) 2.07171 + 3.58831i 0.0916470 + 0.158737i
\(512\) 1.00000i 0.0441942i
\(513\) 1.19222 0.688327i 0.0526377 0.0303904i
\(514\) 0.923995 + 1.60041i 0.0407557 + 0.0705909i
\(515\) −4.58248 + 12.1553i −0.201928 + 0.535625i
\(516\) −2.52416 + 4.37197i −0.111120 + 0.192465i
\(517\) 17.2601i 0.759097i
\(518\) 1.86508 + 0.260582i 0.0819469 + 0.0114493i
\(519\) −4.23309 −0.185812
\(520\) −1.39234 8.46200i −0.0610583 0.371083i
\(521\) 10.8737 + 18.8338i 0.476386 + 0.825125i 0.999634 0.0270553i \(-0.00861303\pi\)
−0.523248 + 0.852181i \(0.675280\pi\)
\(522\) 0.597908 0.345202i 0.0261697 0.0151091i
\(523\) −28.0959 + 16.2211i −1.22855 + 0.709301i −0.966726 0.255815i \(-0.917656\pi\)
−0.261820 + 0.965117i \(0.584323\pi\)
\(524\) 11.4906 0.501968
\(525\) −1.46637 + 0.495982i −0.0639975 + 0.0216464i
\(526\) −7.33520 −0.319830
\(527\) −7.84413 4.52881i −0.341696 0.197278i
\(528\) 4.57198i 0.198970i
\(529\) −7.02148 −0.305282
\(530\) −4.97263 30.2213i −0.215997 1.31273i
\(531\) −5.77406 10.0010i −0.250573 0.434005i
\(532\) 0.426206i 0.0184784i
\(533\) 1.16552 + 0.672913i 0.0504843 + 0.0291471i
\(534\) 5.47776 9.48775i 0.237046 0.410575i
\(535\) 16.0993 2.64899i 0.696033 0.114526i
\(536\) 2.38553 + 4.13186i 0.103039 + 0.178469i
\(537\) 15.7407 9.08787i 0.679260 0.392171i
\(538\) 14.1806 + 8.18718i 0.611370 + 0.352975i
\(539\) −15.7828 + 27.3367i −0.679815 + 1.17747i
\(540\) −2.20640 + 0.363043i −0.0949483 + 0.0156229i
\(541\) 1.49631 0.0643316 0.0321658 0.999483i \(-0.489760\pi\)
0.0321658 + 0.999483i \(0.489760\pi\)
\(542\) 8.18692 4.72672i 0.351659 0.203030i
\(543\) −6.29109 3.63216i −0.269977 0.155871i
\(544\) −3.30960 −0.141898
\(545\) 22.3594 18.3295i 0.957770 0.785148i
\(546\) 0.593681 1.02829i 0.0254072 0.0440066i
\(547\) 18.3785i 0.785806i −0.919580 0.392903i \(-0.871471\pi\)
0.919580 0.392903i \(-0.128529\pi\)
\(548\) −8.27050 + 4.77498i −0.353298 + 0.203977i
\(549\) 4.75935 0.203124
\(550\) −7.32447 21.6548i −0.312317 0.923362i
\(551\) 0.475224 + 0.823112i 0.0202452 + 0.0350658i
\(552\) 4.74511 2.73959i 0.201965 0.116605i
\(553\) 4.09340 + 2.36333i 0.174069 + 0.100499i
\(554\) 8.80577 0.374121
\(555\) 13.5975 0.329961i 0.577180 0.0140061i
\(556\) −2.61795 −0.111026
\(557\) 6.04437 + 3.48972i 0.256108 + 0.147864i 0.622558 0.782574i \(-0.286094\pi\)
−0.366450 + 0.930438i \(0.619427\pi\)
\(558\) −2.37012 + 1.36839i −0.100335 + 0.0579285i
\(559\) −9.68066 16.7674i −0.409448 0.709185i
\(560\) −0.244208 + 0.647772i −0.0103197 + 0.0273734i
\(561\) 15.1314 0.638849
\(562\) 2.77653 1.60303i 0.117121 0.0676197i
\(563\) 41.0519i 1.73013i −0.501660 0.865065i \(-0.667277\pi\)
0.501660 0.865065i \(-0.332723\pi\)
\(564\) −1.88759 + 3.26940i −0.0794819 + 0.137667i
\(565\) 3.48251 + 4.24817i 0.146510 + 0.178722i
\(566\) −20.3469 −0.855243
\(567\) −0.268117 0.154798i −0.0112599 0.00650089i
\(568\) −11.5529 + 6.67007i −0.484749 + 0.279870i
\(569\) 2.75954 0.115686 0.0578429 0.998326i \(-0.481578\pi\)
0.0578429 + 0.998326i \(0.481578\pi\)
\(570\) −0.499784 3.03745i −0.0209336 0.127225i
\(571\) −11.4590 + 19.8475i −0.479544 + 0.830594i −0.999725 0.0234621i \(-0.992531\pi\)
0.520181 + 0.854056i \(0.325864\pi\)
\(572\) 15.1853 + 8.76726i 0.634931 + 0.366577i
\(573\) 2.96276 1.71055i 0.123771 0.0714592i
\(574\) −0.0543206 0.0940861i −0.00226730 0.00392708i
\(575\) 18.0858 20.5776i 0.754232 0.858147i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) −9.23858 5.33389i −0.384607 0.222053i 0.295214 0.955431i \(-0.404609\pi\)
−0.679821 + 0.733378i \(0.737942\pi\)
\(578\) 6.04658i 0.251505i
\(579\) −9.64268 16.7016i −0.400736 0.694096i
\(580\) −0.250646 1.52331i −0.0104075 0.0632519i
\(581\) −0.951675 −0.0394821
\(582\) 0.990093i 0.0410407i
\(583\) 54.2330 + 31.3114i 2.24610 + 1.29679i
\(584\) 13.3833 0.553806
\(585\) 3.02520 8.02448i 0.125076 0.331771i
\(586\) −18.5469 −0.766165
\(587\) 21.0853 12.1736i 0.870284 0.502459i 0.00284149 0.999996i \(-0.499096\pi\)
0.867443 + 0.497537i \(0.165762\pi\)
\(588\) 5.97917 3.45208i 0.246577 0.142361i
\(589\) −1.88380 3.26283i −0.0776205 0.134443i
\(590\) −25.4798 + 4.19246i −1.04899 + 0.172601i
\(591\) −8.88669 −0.365550
\(592\) 3.74105 4.79631i 0.153756 0.197127i
\(593\) 21.9586i 0.901733i 0.892591 + 0.450867i \(0.148885\pi\)
−0.892591 + 0.450867i \(0.851115\pi\)
\(594\) 2.28599 3.95946i 0.0937954 0.162458i
\(595\) −2.14386 0.808228i −0.0878899 0.0331341i
\(596\) −3.21201 5.56336i −0.131569 0.227884i
\(597\) 10.8739 6.27808i 0.445041 0.256945i
\(598\) 21.0138i 0.859319i
\(599\) −22.2901 38.6075i −0.910747 1.57746i −0.813012 0.582247i \(-0.802173\pi\)
−0.0977352 0.995212i \(-0.531160\pi\)
\(600\) −0.980798 + 4.90286i −0.0400409 + 0.200158i
\(601\) 10.9231 18.9193i 0.445562 0.771736i −0.552529 0.833493i \(-0.686337\pi\)
0.998091 + 0.0617578i \(0.0196706\pi\)
\(602\) 1.56293i 0.0637004i
\(603\) 4.77106i 0.194293i
\(604\) 2.44034 4.22679i 0.0992961 0.171986i
\(605\) 20.7203 + 7.81148i 0.842401 + 0.317582i
\(606\) 13.4339 0.545713
\(607\) 21.2315 + 12.2580i 0.861762 + 0.497539i 0.864602 0.502457i \(-0.167571\pi\)
−0.00283994 + 0.999996i \(0.500904\pi\)
\(608\) −1.19222 0.688327i −0.0483508 0.0279153i
\(609\) 0.106873 0.185110i 0.00433071 0.00750102i
\(610\) 3.75415 9.95808i 0.152001 0.403191i
\(611\) −7.23930 12.5388i −0.292871 0.507267i
\(612\) −2.86619 1.65480i −0.115859 0.0668912i
\(613\) −15.8847 9.17104i −0.641577 0.370415i 0.143645 0.989629i \(-0.454118\pi\)
−0.785222 + 0.619215i \(0.787451\pi\)
\(614\) 1.00136 1.73440i 0.0404116 0.0699949i
\(615\) −0.497457 0.606827i −0.0200594 0.0244696i
\(616\) −0.707733 1.22583i −0.0285154 0.0493901i
\(617\) −24.8079 14.3229i −0.998730 0.576617i −0.0908575 0.995864i \(-0.528961\pi\)
−0.907872 + 0.419247i \(0.862294\pi\)
\(618\) 5.80947i 0.233691i
\(619\) −11.1758 −0.449193 −0.224596 0.974452i \(-0.572106\pi\)
−0.224596 + 0.974452i \(0.572106\pi\)
\(620\) 0.993566 + 6.03842i 0.0399026 + 0.242509i
\(621\) 5.47919 0.219872
\(622\) −21.9402 + 12.6672i −0.879722 + 0.507908i
\(623\) 3.39178i 0.135889i
\(624\) −1.91760 3.32139i −0.0767656 0.132962i
\(625\) 3.20910 + 24.7932i 0.128364 + 0.991727i
\(626\) 16.7435 + 29.0006i 0.669204 + 1.15910i
\(627\) 5.45080 + 3.14702i 0.217684 + 0.125680i
\(628\) 9.27599i 0.370152i
\(629\) 15.8738 + 12.3813i 0.632931 + 0.493677i
\(630\) −0.535376 + 0.438884i −0.0213299 + 0.0174855i
\(631\) −18.1519 + 31.4400i −0.722615 + 1.25161i 0.237333 + 0.971428i \(0.423727\pi\)
−0.959948 + 0.280178i \(0.909607\pi\)
\(632\) 13.2218 7.63359i 0.525934 0.303648i
\(633\) 16.9436 9.78239i 0.673447 0.388815i
\(634\) 15.5461 + 26.9267i 0.617416 + 1.06940i
\(635\) 1.93500 + 2.36042i 0.0767879 + 0.0936705i
\(636\) −6.84854 11.8620i −0.271562 0.470360i
\(637\) 26.4789i 1.04913i
\(638\) 2.73363 + 1.57826i 0.108225 + 0.0624839i
\(639\) −13.3401 −0.527728
\(640\) 1.41760 + 1.72928i 0.0560357 + 0.0683557i
\(641\) 20.8852 36.1742i 0.824916 1.42880i −0.0770677 0.997026i \(-0.524556\pi\)
0.901984 0.431770i \(-0.142111\pi\)
\(642\) 6.31907 3.64832i 0.249394 0.143988i
\(643\) 9.18122i 0.362072i −0.983476 0.181036i \(-0.942055\pi\)
0.983476 0.181036i \(-0.0579451\pi\)
\(644\) 0.848165 1.46907i 0.0334224 0.0578893i
\(645\) 1.83275 + 11.1386i 0.0721645 + 0.438582i
\(646\) 2.27808 3.94576i 0.0896300 0.155244i
\(647\) −2.25144 + 1.29987i −0.0885133 + 0.0511032i −0.543603 0.839342i \(-0.682940\pi\)
0.455090 + 0.890445i \(0.349607\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) 26.3989 45.7243i 1.03625 1.79484i
\(650\) −14.4035 12.6594i −0.564952 0.496541i
\(651\) −0.423647 + 0.733778i −0.0166040 + 0.0287590i
\(652\) 13.1014i 0.513091i
\(653\) −16.7712 + 9.68287i −0.656309 + 0.378920i −0.790869 0.611985i \(-0.790371\pi\)
0.134560 + 0.990905i \(0.457038\pi\)
\(654\) 6.46495 11.1976i 0.252799 0.437861i
\(655\) 19.8704 16.2891i 0.776400 0.636467i
\(656\) −0.350914 −0.0137009
\(657\) 11.5903 + 6.69167i 0.452181 + 0.261067i
\(658\) 1.16878i 0.0455637i
\(659\) 3.00412 + 5.20328i 0.117024 + 0.202691i 0.918587 0.395219i \(-0.129331\pi\)
−0.801563 + 0.597910i \(0.795998\pi\)
\(660\) −6.48126 7.90623i −0.252283 0.307750i
\(661\) 17.0665 + 29.5601i 0.663811 + 1.14975i 0.979606 + 0.200927i \(0.0643953\pi\)
−0.315796 + 0.948827i \(0.602271\pi\)
\(662\) 26.2913 15.1793i 1.02184 0.589959i
\(663\) 10.9924 6.34649i 0.426911 0.246477i
\(664\) −1.53697 + 2.66210i −0.0596458 + 0.103310i
\(665\) −0.604191 0.737028i −0.0234295 0.0285807i
\(666\) 5.63800 2.28320i 0.218468 0.0884723i
\(667\) 3.78286i 0.146473i
\(668\) −18.9448 10.9378i −0.732997 0.423196i
\(669\) 1.99663 + 3.45826i 0.0771941 + 0.133704i
\(670\) 9.98259 + 3.76340i 0.385661 + 0.145393i
\(671\) 10.8798 + 18.8444i 0.420011 + 0.727481i
\(672\) 0.309595i 0.0119429i
\(673\) 5.77448 3.33389i 0.222590 0.128512i −0.384559 0.923100i \(-0.625647\pi\)
0.607149 + 0.794588i \(0.292313\pi\)
\(674\) 11.8454 0.456266
\(675\) −3.30083 + 3.75560i −0.127049 + 0.144553i
\(676\) 1.70882 0.0657238
\(677\) 8.18243i 0.314476i 0.987561 + 0.157238i \(0.0502590\pi\)
−0.987561 + 0.157238i \(0.949741\pi\)
\(678\) 2.12749 + 1.22831i 0.0817058 + 0.0471729i
\(679\) −0.153264 0.265461i −0.00588174 0.0101875i
\(680\) −5.72321 + 4.69170i −0.219475 + 0.179918i
\(681\) 13.6749 23.6856i 0.524022 0.907633i
\(682\) −10.8361 6.25625i −0.414937 0.239564i
\(683\) −26.9900 15.5827i −1.03274 0.596254i −0.114974 0.993369i \(-0.536678\pi\)
−0.917769 + 0.397114i \(0.870012\pi\)
\(684\) −0.688327 1.19222i −0.0263188 0.0455856i
\(685\) −7.53296 + 19.9816i −0.287820 + 0.763456i
\(686\) 2.15233 3.72795i 0.0821764 0.142334i
\(687\) −20.6075 11.8978i −0.786226 0.453928i
\(688\) 4.37197 + 2.52416i 0.166680 + 0.0962325i
\(689\) 52.5312 2.00128
\(690\) 4.32196 11.4642i 0.164534 0.436435i
\(691\) −20.8249 + 36.0698i −0.792218 + 1.37216i 0.132373 + 0.991200i \(0.457740\pi\)
−0.924591 + 0.380962i \(0.875593\pi\)
\(692\) 4.23309i 0.160918i
\(693\) 1.41547i 0.0537691i
\(694\) 0.594567 1.02982i 0.0225694 0.0390914i
\(695\) −4.52716 + 3.71122i −0.171725 + 0.140774i
\(696\) −0.345202 0.597908i −0.0130849 0.0226636i
\(697\) 1.16138i 0.0439905i
\(698\) 6.43879 3.71744i 0.243712 0.140707i
\(699\) −12.8189 22.2029i −0.484854 0.839791i
\(700\) 0.495982 + 1.46637i 0.0187464 + 0.0554235i
\(701\) −24.5191 + 42.4683i −0.926073 + 1.60400i −0.136246 + 0.990675i \(0.543504\pi\)
−0.789827 + 0.613330i \(0.789830\pi\)
\(702\) 3.83521i 0.144751i
\(703\) 3.14318 + 7.76157i 0.118547 + 0.292733i
\(704\) −4.57198 −0.172313
\(705\) 1.37055 + 8.32956i 0.0516179 + 0.313709i
\(706\) 7.04878 + 12.2088i 0.265284 + 0.459486i
\(707\) 3.60185 2.07953i 0.135462 0.0782088i
\(708\) −10.0010 + 5.77406i −0.375860 + 0.217003i
\(709\) −16.7309 −0.628343 −0.314171 0.949366i \(-0.601727\pi\)
−0.314171 + 0.949366i \(0.601727\pi\)
\(710\) −10.5226 + 27.9118i −0.394908 + 1.04751i
\(711\) 15.2672 0.572564
\(712\) −9.48775 5.47776i −0.355569 0.205288i
\(713\) 14.9953i 0.561579i
\(714\) −1.02464 −0.0383460
\(715\) 38.6881 6.36577i 1.44685 0.238066i
\(716\) −9.08787 15.7407i −0.339630 0.588256i
\(717\) 6.16796i 0.230347i
\(718\) −1.22650 0.708122i −0.0457727 0.0264269i
\(719\) −14.7645 + 25.5728i −0.550622 + 0.953705i 0.447608 + 0.894230i \(0.352276\pi\)
−0.998230 + 0.0594751i \(0.981057\pi\)
\(720\) 0.363043 + 2.20640i 0.0135298 + 0.0822277i
\(721\) 0.899292 + 1.55762i 0.0334914 + 0.0580088i
\(722\) −14.8132 + 8.55241i −0.551291 + 0.318288i
\(723\) −3.47521 2.00641i −0.129244 0.0746192i
\(724\) −3.63216 + 6.29109i −0.134988 + 0.233807i
\(725\) −2.59289 2.27891i −0.0962973 0.0846364i
\(726\) 9.90305 0.367537
\(727\) 33.7503 19.4857i 1.25173 0.722685i 0.280275 0.959920i \(-0.409574\pi\)
0.971452 + 0.237234i \(0.0762409\pi\)
\(728\) −1.02829 0.593681i −0.0381108 0.0220033i
\(729\) −1.00000 −0.0370370
\(730\) 23.1435 18.9723i 0.856579 0.702195i
\(731\) −8.35393 + 14.4694i −0.308981 + 0.535171i
\(732\) 4.75935i 0.175911i
\(733\) −29.8567 + 17.2377i −1.10278 + 0.636691i −0.936950 0.349463i \(-0.886364\pi\)
−0.165831 + 0.986154i \(0.553031\pi\)
\(734\) −18.8761 −0.696731
\(735\) 5.44597 14.4457i 0.200877 0.532837i
\(736\) −2.73959 4.74511i −0.100983 0.174907i
\(737\) −18.8908 + 10.9066i −0.695852 + 0.401750i
\(738\) −0.303900 0.175457i −0.0111867 0.00645865i
\(739\) −9.23484 −0.339709 −0.169855 0.985469i \(-0.554330\pi\)
−0.169855 + 0.985469i \(0.554330\pi\)
\(740\) −0.329961 13.5975i −0.0121296 0.499853i
\(741\) 5.27975 0.193957
\(742\) −3.67243 2.12028i −0.134819 0.0778378i
\(743\) 24.7745 14.3036i 0.908889 0.524747i 0.0288154 0.999585i \(-0.490827\pi\)
0.880073 + 0.474838i \(0.157493\pi\)
\(744\) 1.36839 + 2.37012i 0.0501676 + 0.0868928i
\(745\) −13.4411 5.06723i −0.492443 0.185649i
\(746\) 22.4593 0.822295
\(747\) −2.66210 + 1.53697i −0.0974013 + 0.0562346i
\(748\) 15.1314i 0.553260i
\(749\) 1.12950 1.95636i 0.0412711 0.0714837i
\(750\) 5.25424 + 9.86879i 0.191858 + 0.360357i
\(751\) 13.7813 0.502886 0.251443 0.967872i \(-0.419095\pi\)
0.251443 + 0.967872i \(0.419095\pi\)
\(752\) 3.26940 + 1.88759i 0.119223 + 0.0688333i
\(753\) −14.5033 + 8.37346i −0.528528 + 0.305146i
\(754\) 2.64785 0.0964288
\(755\) −1.77189 10.7687i −0.0644859 0.391914i
\(756\) −0.154798 + 0.268117i −0.00562994 + 0.00975134i
\(757\) 11.6427 + 6.72193i 0.423162 + 0.244313i 0.696429 0.717625i \(-0.254771\pi\)
−0.273267 + 0.961938i \(0.588104\pi\)
\(758\) −30.3592 + 17.5279i −1.10270 + 0.636642i
\(759\) 12.5254 + 21.6946i 0.454642 + 0.787464i
\(760\) −3.03745 + 0.499784i −0.110180 + 0.0181291i
\(761\) 15.8359 27.4286i 0.574051 0.994286i −0.422093 0.906553i \(-0.638704\pi\)
0.996144 0.0877334i \(-0.0279624\pi\)
\(762\) 1.18210 + 0.682488i 0.0428231 + 0.0247239i
\(763\) 4.00303i 0.144920i
\(764\) −1.71055 2.96276i −0.0618855 0.107189i
\(765\) −7.30229 + 1.20152i −0.264015 + 0.0434412i
\(766\) −12.4279 −0.449038
\(767\) 44.2895i 1.59920i
\(768\) 0.866025 + 0.500000i 0.0312500 + 0.0180422i
\(769\) −8.70963 −0.314077 −0.157039 0.987592i \(-0.550195\pi\)
−0.157039 + 0.987592i \(0.550195\pi\)
\(770\) −2.96161 1.11651i −0.106729 0.0402363i
\(771\) 1.84799 0.0665538
\(772\) −16.7016 + 9.64268i −0.601104 + 0.347048i
\(773\) −2.32166 + 1.34041i −0.0835044 + 0.0482113i −0.541171 0.840913i \(-0.682019\pi\)
0.457666 + 0.889124i \(0.348685\pi\)
\(774\) 2.52416 + 4.37197i 0.0907289 + 0.157147i
\(775\) 10.2782 + 9.03362i 0.369205 + 0.324497i
\(776\) −0.990093 −0.0355423