Properties

Label 1110.2.ba.a.529.9
Level $1110$
Weight $2$
Character 1110.529
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 529.9
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.a.619.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.83047 + 1.28429i) q^{5} +1.00000i q^{6} +(-3.31268 - 1.91258i) q^{7} +1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.83047 + 1.28429i) q^{5} +1.00000i q^{6} +(-3.31268 - 1.91258i) q^{7} +1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +(0.196990 - 2.22737i) q^{10} +1.67653 q^{11} +(0.866025 - 0.500000i) q^{12} +(1.56010 - 2.70218i) q^{13} +3.82515i q^{14} +(-0.943089 - 2.02746i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.75979 + 4.78010i) q^{17} +(0.500000 - 0.866025i) q^{18} +(-1.27752 - 0.737577i) q^{19} +(-2.02746 + 0.943089i) q^{20} +(1.91258 + 3.31268i) q^{21} +(-0.838266 - 1.45192i) q^{22} -1.21394 q^{23} +(-0.866025 - 0.500000i) q^{24} +(1.70122 + 4.70168i) q^{25} -3.12020 q^{26} -1.00000i q^{27} +(3.31268 - 1.91258i) q^{28} -2.97019i q^{29} +(-1.28429 + 1.83047i) q^{30} -5.65752i q^{31} +(-0.500000 + 0.866025i) q^{32} +(-1.45192 - 0.838266i) q^{33} +(2.75979 - 4.78010i) q^{34} +(-3.60746 - 7.75534i) q^{35} -1.00000 q^{36} +(-1.06142 + 5.98944i) q^{37} +1.47515i q^{38} +(-2.70218 + 1.56010i) q^{39} +(1.83047 + 1.28429i) q^{40} +(4.89193 - 8.47308i) q^{41} +(1.91258 - 3.31268i) q^{42} +11.7908 q^{43} +(-0.838266 + 1.45192i) q^{44} +(-0.196990 + 2.22737i) q^{45} +(0.606969 + 1.05130i) q^{46} -11.2816i q^{47} +1.00000i q^{48} +(3.81590 + 6.60933i) q^{49} +(3.22117 - 3.82415i) q^{50} -5.51959i q^{51} +(1.56010 + 2.70218i) q^{52} +(2.49973 - 1.44322i) q^{53} +(-0.866025 + 0.500000i) q^{54} +(3.06884 + 2.15315i) q^{55} +(-3.31268 - 1.91258i) q^{56} +(0.737577 + 1.27752i) q^{57} +(-2.57226 + 1.48510i) q^{58} +(5.20788 - 3.00677i) q^{59} +(2.22737 + 0.196990i) q^{60} +(-5.55247 - 3.20572i) q^{61} +(-4.89955 + 2.82876i) q^{62} -3.82515i q^{63} +1.00000 q^{64} +(6.32608 - 2.94263i) q^{65} +1.67653i q^{66} +(0.933703 + 0.539074i) q^{67} -5.51959 q^{68} +(1.05130 + 0.606969i) q^{69} +(-4.91259 + 7.00182i) q^{70} +(0.807805 - 1.39916i) q^{71} +(0.500000 + 0.866025i) q^{72} -12.7659i q^{73} +(5.71772 - 2.07550i) q^{74} +(0.877540 - 4.92239i) q^{75} +(1.27752 - 0.737577i) q^{76} +(-5.55382 - 3.20650i) q^{77} +(2.70218 + 1.56010i) q^{78} +(-1.38034 - 0.796940i) q^{79} +(0.196990 - 2.22737i) q^{80} +(-0.500000 + 0.866025i) q^{81} -9.78387 q^{82} +(3.79462 - 2.19082i) q^{83} -3.82515 q^{84} +(-1.08730 + 12.2942i) q^{85} +(-5.89540 - 10.2111i) q^{86} +(-1.48510 + 2.57226i) q^{87} +1.67653 q^{88} +(-7.36049 + 4.24958i) q^{89} +(2.02746 - 0.943089i) q^{90} +(-10.3362 + 5.96763i) q^{91} +(0.606969 - 1.05130i) q^{92} +(-2.82876 + 4.89955i) q^{93} +(-9.77017 + 5.64081i) q^{94} +(-1.39120 - 2.99081i) q^{95} +(0.866025 - 0.500000i) q^{96} +16.8340 q^{97} +(3.81590 - 6.60933i) q^{98} +(0.838266 + 1.45192i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} - 14q^{13} - 2q^{15} - 18q^{16} + 18q^{18} + 6q^{19} - 4q^{20} - 2q^{22} - 20q^{23} + 4q^{25} + 28q^{26} - 2q^{30} - 18q^{32} - 6q^{33} - 40q^{35} - 36q^{36} + 20q^{37} + 6q^{39} + 2q^{40} + 10q^{41} - 2q^{44} - 2q^{45} + 10q^{46} + 10q^{49} - 2q^{50} - 14q^{52} - 12q^{53} + 56q^{55} + 8q^{57} + 30q^{58} + 18q^{59} + 4q^{60} - 6q^{61} - 12q^{62} + 36q^{64} + 40q^{65} + 36q^{67} + 12q^{69} + 20q^{70} - 24q^{71} + 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} - 24q^{77} - 6q^{78} + 2q^{80} - 18q^{81} - 20q^{82} + 36q^{83} + 26q^{85} - 10q^{87} + 4q^{88} + 4q^{90} - 36q^{91} + 10q^{92} + 12q^{93} + 12q^{94} - 30q^{95} + 52q^{97} + 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 1.83047 + 1.28429i 0.818610 + 0.574350i
\(6\) 1.00000i 0.408248i
\(7\) −3.31268 1.91258i −1.25208 0.722886i −0.280554 0.959838i \(-0.590518\pi\)
−0.971521 + 0.236952i \(0.923852\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 0.196990 2.22737i 0.0622936 0.704358i
\(11\) 1.67653 0.505494 0.252747 0.967532i \(-0.418666\pi\)
0.252747 + 0.967532i \(0.418666\pi\)
\(12\) 0.866025 0.500000i 0.250000 0.144338i
\(13\) 1.56010 2.70218i 0.432694 0.749449i −0.564410 0.825495i \(-0.690896\pi\)
0.997104 + 0.0760461i \(0.0242296\pi\)
\(14\) 3.82515i 1.02232i
\(15\) −0.943089 2.02746i −0.243505 0.523487i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 2.75979 + 4.78010i 0.669348 + 1.15935i 0.978087 + 0.208199i \(0.0667600\pi\)
−0.308738 + 0.951147i \(0.599907\pi\)
\(18\) 0.500000 0.866025i 0.117851 0.204124i
\(19\) −1.27752 0.737577i −0.293083 0.169212i 0.346248 0.938143i \(-0.387455\pi\)
−0.639331 + 0.768931i \(0.720789\pi\)
\(20\) −2.02746 + 0.943089i −0.453353 + 0.210881i
\(21\) 1.91258 + 3.31268i 0.417358 + 0.722886i
\(22\) −0.838266 1.45192i −0.178719 0.309550i
\(23\) −1.21394 −0.253124 −0.126562 0.991959i \(-0.540394\pi\)
−0.126562 + 0.991959i \(0.540394\pi\)
\(24\) −0.866025 0.500000i −0.176777 0.102062i
\(25\) 1.70122 + 4.70168i 0.340245 + 0.940337i
\(26\) −3.12020 −0.611922
\(27\) 1.00000i 0.192450i
\(28\) 3.31268 1.91258i 0.626038 0.361443i
\(29\) 2.97019i 0.551551i −0.961222 0.275775i \(-0.911065\pi\)
0.961222 0.275775i \(-0.0889346\pi\)
\(30\) −1.28429 + 1.83047i −0.234477 + 0.334196i
\(31\) 5.65752i 1.01612i −0.861322 0.508060i \(-0.830363\pi\)
0.861322 0.508060i \(-0.169637\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −1.45192 0.838266i −0.252747 0.145923i
\(34\) 2.75979 4.78010i 0.473301 0.819781i
\(35\) −3.60746 7.75534i −0.609772 1.31089i
\(36\) −1.00000 −0.166667
\(37\) −1.06142 + 5.98944i −0.174497 + 0.984658i
\(38\) 1.47515i 0.239301i
\(39\) −2.70218 + 1.56010i −0.432694 + 0.249816i
\(40\) 1.83047 + 1.28429i 0.289422 + 0.203063i
\(41\) 4.89193 8.47308i 0.763992 1.32327i −0.176786 0.984249i \(-0.556570\pi\)
0.940778 0.339023i \(-0.110096\pi\)
\(42\) 1.91258 3.31268i 0.295117 0.511158i
\(43\) 11.7908 1.79808 0.899040 0.437866i \(-0.144266\pi\)
0.899040 + 0.437866i \(0.144266\pi\)
\(44\) −0.838266 + 1.45192i −0.126373 + 0.218885i
\(45\) −0.196990 + 2.22737i −0.0293655 + 0.332037i
\(46\) 0.606969 + 1.05130i 0.0894927 + 0.155006i
\(47\) 11.2816i 1.64559i −0.568336 0.822796i \(-0.692413\pi\)
0.568336 0.822796i \(-0.307587\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 3.81590 + 6.60933i 0.545128 + 0.944190i
\(50\) 3.22117 3.82415i 0.455542 0.540816i
\(51\) 5.51959i 0.772897i
\(52\) 1.56010 + 2.70218i 0.216347 + 0.374724i
\(53\) 2.49973 1.44322i 0.343365 0.198242i −0.318394 0.947958i \(-0.603144\pi\)
0.661759 + 0.749717i \(0.269810\pi\)
\(54\) −0.866025 + 0.500000i −0.117851 + 0.0680414i
\(55\) 3.06884 + 2.15315i 0.413802 + 0.290330i
\(56\) −3.31268 1.91258i −0.442675 0.255579i
\(57\) 0.737577 + 1.27752i 0.0976944 + 0.169212i
\(58\) −2.57226 + 1.48510i −0.337755 + 0.195003i
\(59\) 5.20788 3.00677i 0.678009 0.391448i −0.121096 0.992641i \(-0.538641\pi\)
0.799104 + 0.601192i \(0.205307\pi\)
\(60\) 2.22737 + 0.196990i 0.287553 + 0.0254313i
\(61\) −5.55247 3.20572i −0.710921 0.410451i 0.100481 0.994939i \(-0.467962\pi\)
−0.811402 + 0.584488i \(0.801295\pi\)
\(62\) −4.89955 + 2.82876i −0.622244 + 0.359253i
\(63\) 3.82515i 0.481924i
\(64\) 1.00000 0.125000
\(65\) 6.32608 2.94263i 0.784653 0.364988i
\(66\) 1.67653i 0.206367i
\(67\) 0.933703 + 0.539074i 0.114070 + 0.0658583i 0.555949 0.831216i \(-0.312355\pi\)
−0.441879 + 0.897074i \(0.645688\pi\)
\(68\) −5.51959 −0.669348
\(69\) 1.05130 + 0.606969i 0.126562 + 0.0730705i
\(70\) −4.91259 + 7.00182i −0.587166 + 0.836877i
\(71\) 0.807805 1.39916i 0.0958689 0.166050i −0.814102 0.580722i \(-0.802770\pi\)
0.909971 + 0.414672i \(0.136104\pi\)
\(72\) 0.500000 + 0.866025i 0.0589256 + 0.102062i
\(73\) 12.7659i 1.49414i −0.664747 0.747069i \(-0.731461\pi\)
0.664747 0.747069i \(-0.268539\pi\)
\(74\) 5.71772 2.07550i 0.664671 0.241272i
\(75\) 0.877540 4.92239i 0.101330 0.568389i
\(76\) 1.27752 0.737577i 0.146542 0.0846058i
\(77\) −5.55382 3.20650i −0.632916 0.365414i
\(78\) 2.70218 + 1.56010i 0.305961 + 0.176647i
\(79\) −1.38034 0.796940i −0.155301 0.0896628i 0.420336 0.907369i \(-0.361912\pi\)
−0.575636 + 0.817706i \(0.695246\pi\)
\(80\) 0.196990 2.22737i 0.0220241 0.249028i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −9.78387 −1.08045
\(83\) 3.79462 2.19082i 0.416513 0.240474i −0.277071 0.960849i \(-0.589364\pi\)
0.693584 + 0.720375i \(0.256030\pi\)
\(84\) −3.82515 −0.417358
\(85\) −1.08730 + 12.2942i −0.117934 + 1.33349i
\(86\) −5.89540 10.2111i −0.635717 1.10109i
\(87\) −1.48510 + 2.57226i −0.159219 + 0.275775i
\(88\) 1.67653 0.178719
\(89\) −7.36049 + 4.24958i −0.780210 + 0.450454i −0.836505 0.547960i \(-0.815405\pi\)
0.0562948 + 0.998414i \(0.482071\pi\)
\(90\) 2.02746 0.943089i 0.213713 0.0994103i
\(91\) −10.3362 + 5.96763i −1.08353 + 0.625577i
\(92\) 0.606969 1.05130i 0.0632809 0.109606i
\(93\) −2.82876 + 4.89955i −0.293329 + 0.508060i
\(94\) −9.77017 + 5.64081i −1.00772 + 0.581805i
\(95\) −1.39120 2.99081i −0.142734 0.306851i
\(96\) 0.866025 0.500000i 0.0883883 0.0510310i
\(97\) 16.8340 1.70923 0.854617 0.519259i \(-0.173792\pi\)
0.854617 + 0.519259i \(0.173792\pi\)
\(98\) 3.81590 6.60933i 0.385464 0.667643i
\(99\) 0.838266 + 1.45192i 0.0842489 + 0.145923i
\(100\) −4.92239 0.877540i −0.492239 0.0877540i
\(101\) 2.23855 0.222744 0.111372 0.993779i \(-0.464476\pi\)
0.111372 + 0.993779i \(0.464476\pi\)
\(102\) −4.78010 + 2.75979i −0.473301 + 0.273260i
\(103\) −4.22889 −0.416684 −0.208342 0.978056i \(-0.566807\pi\)
−0.208342 + 0.978056i \(0.566807\pi\)
\(104\) 1.56010 2.70218i 0.152981 0.264970i
\(105\) −0.753516 + 8.52005i −0.0735356 + 0.831471i
\(106\) −2.49973 1.44322i −0.242795 0.140178i
\(107\) −2.24493 1.29611i −0.217026 0.125300i 0.387547 0.921850i \(-0.373323\pi\)
−0.604572 + 0.796550i \(0.706656\pi\)
\(108\) 0.866025 + 0.500000i 0.0833333 + 0.0481125i
\(109\) 12.2762 7.08769i 1.17585 0.678877i 0.220799 0.975319i \(-0.429133\pi\)
0.955051 + 0.296442i \(0.0958001\pi\)
\(110\) 0.330260 3.73427i 0.0314890 0.356048i
\(111\) 3.91394 4.65629i 0.371495 0.441956i
\(112\) 3.82515i 0.361443i
\(113\) −8.59155 14.8810i −0.808225 1.39989i −0.914092 0.405506i \(-0.867095\pi\)
0.105868 0.994380i \(-0.466238\pi\)
\(114\) 0.737577 1.27752i 0.0690804 0.119651i
\(115\) −2.22208 1.55904i −0.207210 0.145382i
\(116\) 2.57226 + 1.48510i 0.238829 + 0.137888i
\(117\) 3.12020 0.288463
\(118\) −5.20788 3.00677i −0.479424 0.276796i
\(119\) 21.1133i 1.93545i
\(120\) −0.943089 2.02746i −0.0860918 0.185081i
\(121\) −8.18924 −0.744476
\(122\) 6.41144i 0.580465i
\(123\) −8.47308 + 4.89193i −0.763992 + 0.441091i
\(124\) 4.89955 + 2.82876i 0.439993 + 0.254030i
\(125\) −2.92427 + 10.7911i −0.261555 + 0.965189i
\(126\) −3.31268 + 1.91258i −0.295117 + 0.170386i
\(127\) −14.0316 + 8.10117i −1.24511 + 0.718862i −0.970129 0.242589i \(-0.922003\pi\)
−0.274977 + 0.961451i \(0.588670\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −10.2111 5.89540i −0.899040 0.519061i
\(130\) −5.71143 4.00723i −0.500926 0.351457i
\(131\) 15.8066 9.12596i 1.38103 0.797339i 0.388750 0.921343i \(-0.372907\pi\)
0.992282 + 0.124004i \(0.0395736\pi\)
\(132\) 1.45192 0.838266i 0.126373 0.0729617i
\(133\) 2.82134 + 4.88671i 0.244642 + 0.423732i
\(134\) 1.07815i 0.0931378i
\(135\) 1.28429 1.83047i 0.110534 0.157542i
\(136\) 2.75979 + 4.78010i 0.236650 + 0.409891i
\(137\) 2.97364i 0.254055i 0.991899 + 0.127028i \(0.0405437\pi\)
−0.991899 + 0.127028i \(0.959456\pi\)
\(138\) 1.21394i 0.103337i
\(139\) −5.43980 9.42200i −0.461397 0.799164i 0.537633 0.843179i \(-0.319318\pi\)
−0.999031 + 0.0440148i \(0.985985\pi\)
\(140\) 8.52005 + 0.753516i 0.720075 + 0.0636837i
\(141\) −5.64081 + 9.77017i −0.475042 + 0.822796i
\(142\) −1.61561 −0.135579
\(143\) 2.61556 4.53028i 0.218724 0.378841i
\(144\) 0.500000 0.866025i 0.0416667 0.0721688i
\(145\) 3.81457 5.43684i 0.316783 0.451505i
\(146\) −11.0556 + 6.38296i −0.914969 + 0.528257i
\(147\) 7.63180i 0.629460i
\(148\) −4.65629 3.91394i −0.382745 0.321724i
\(149\) 8.97575 0.735322 0.367661 0.929960i \(-0.380159\pi\)
0.367661 + 0.929960i \(0.380159\pi\)
\(150\) −4.70168 + 1.70122i −0.383891 + 0.138904i
\(151\) −5.87683 + 10.1790i −0.478250 + 0.828353i −0.999689 0.0249354i \(-0.992062\pi\)
0.521439 + 0.853288i \(0.325395\pi\)
\(152\) −1.27752 0.737577i −0.103621 0.0598254i
\(153\) −2.75979 + 4.78010i −0.223116 + 0.386449i
\(154\) 6.41299i 0.516774i
\(155\) 7.26586 10.3559i 0.583608 0.831806i
\(156\) 3.12020i 0.249816i
\(157\) −0.108243 + 0.0624939i −0.00863870 + 0.00498755i −0.504313 0.863521i \(-0.668254\pi\)
0.495674 + 0.868508i \(0.334921\pi\)
\(158\) 1.59388i 0.126802i
\(159\) −2.88644 −0.228910
\(160\) −2.02746 + 0.943089i −0.160285 + 0.0745577i
\(161\) 4.02139 + 2.32175i 0.316930 + 0.182980i
\(162\) 1.00000 0.0785674
\(163\) 8.41453 + 14.5744i 0.659077 + 1.14155i 0.980855 + 0.194740i \(0.0623862\pi\)
−0.321778 + 0.946815i \(0.604280\pi\)
\(164\) 4.89193 + 8.47308i 0.381996 + 0.661636i
\(165\) −1.58112 3.39910i −0.123090 0.264619i
\(166\) −3.79462 2.19082i −0.294519 0.170041i
\(167\) −10.0346 + 17.3805i −0.776503 + 1.34494i 0.157443 + 0.987528i \(0.449675\pi\)
−0.933946 + 0.357415i \(0.883658\pi\)
\(168\) 1.91258 + 3.31268i 0.147558 + 0.255579i
\(169\) 1.63217 + 2.82700i 0.125551 + 0.217461i
\(170\) 11.1907 5.20546i 0.858290 0.399241i
\(171\) 1.47515i 0.112808i
\(172\) −5.89540 + 10.2111i −0.449520 + 0.778592i
\(173\) 11.9639 6.90737i 0.909599 0.525157i 0.0292969 0.999571i \(-0.490673\pi\)
0.880302 + 0.474414i \(0.157340\pi\)
\(174\) 2.97019 0.225170
\(175\) 3.35672 18.8289i 0.253744 1.42333i
\(176\) −0.838266 1.45192i −0.0631867 0.109443i
\(177\) −6.01354 −0.452006
\(178\) 7.36049 + 4.24958i 0.551692 + 0.318519i
\(179\) 12.8111i 0.957545i −0.877939 0.478773i \(-0.841082\pi\)
0.877939 0.478773i \(-0.158918\pi\)
\(180\) −1.83047 1.28429i −0.136435 0.0957250i
\(181\) −7.43016 + 12.8694i −0.552280 + 0.956576i 0.445830 + 0.895118i \(0.352909\pi\)
−0.998110 + 0.0614588i \(0.980425\pi\)
\(182\) 10.3362 + 5.96763i 0.766173 + 0.442350i
\(183\) 3.20572 + 5.55247i 0.236974 + 0.410451i
\(184\) −1.21394 −0.0894927
\(185\) −9.63505 + 9.60030i −0.708383 + 0.705828i
\(186\) 5.65752 0.414829
\(187\) 4.62689 + 8.01400i 0.338351 + 0.586042i
\(188\) 9.77017 + 5.64081i 0.712563 + 0.411398i
\(189\) −1.91258 + 3.31268i −0.139119 + 0.240962i
\(190\) −1.89452 + 2.70022i −0.137443 + 0.195895i
\(191\) 12.5432i 0.907597i −0.891104 0.453798i \(-0.850069\pi\)
0.891104 0.453798i \(-0.149931\pi\)
\(192\) −0.866025 0.500000i −0.0625000 0.0360844i
\(193\) 26.1467 1.88208 0.941041 0.338292i \(-0.109849\pi\)
0.941041 + 0.338292i \(0.109849\pi\)
\(194\) −8.41700 14.5787i −0.604306 1.04669i
\(195\) −6.94986 0.614648i −0.497690 0.0440159i
\(196\) −7.63180 −0.545128
\(197\) −20.8765 + 12.0530i −1.48739 + 0.858744i −0.999897 0.0143835i \(-0.995421\pi\)
−0.487492 + 0.873128i \(0.662088\pi\)
\(198\) 0.838266 1.45192i 0.0595730 0.103183i
\(199\) 21.4951i 1.52374i 0.647727 + 0.761872i \(0.275720\pi\)
−0.647727 + 0.761872i \(0.724280\pi\)
\(200\) 1.70122 + 4.70168i 0.120295 + 0.332459i
\(201\) −0.539074 0.933703i −0.0380233 0.0658583i
\(202\) −1.11927 1.93864i −0.0787519 0.136402i
\(203\) −5.68072 + 9.83930i −0.398708 + 0.690583i
\(204\) 4.78010 + 2.75979i 0.334674 + 0.193224i
\(205\) 19.8364 9.22706i 1.38543 0.644446i
\(206\) 2.11444 + 3.66232i 0.147320 + 0.255166i
\(207\) −0.606969 1.05130i −0.0421873 0.0730705i
\(208\) −3.12020 −0.216347
\(209\) −2.14180 1.23657i −0.148152 0.0855354i
\(210\) 7.75534 3.60746i 0.535169 0.248938i
\(211\) 7.62398 0.524856 0.262428 0.964952i \(-0.415477\pi\)
0.262428 + 0.964952i \(0.415477\pi\)
\(212\) 2.88644i 0.198242i
\(213\) −1.39916 + 0.807805i −0.0958689 + 0.0553499i
\(214\) 2.59222i 0.177201i
\(215\) 21.5827 + 15.1427i 1.47193 + 1.03273i
\(216\) 1.00000i 0.0680414i
\(217\) −10.8204 + 18.7415i −0.734539 + 1.27226i
\(218\) −12.2762 7.08769i −0.831452 0.480039i
\(219\) −6.38296 + 11.0556i −0.431320 + 0.747069i
\(220\) −3.39910 + 1.58112i −0.229167 + 0.106599i
\(221\) 17.2222 1.15849
\(222\) −5.98944 1.06142i −0.401985 0.0712382i
\(223\) 4.00109i 0.267933i 0.990986 + 0.133966i \(0.0427714\pi\)
−0.990986 + 0.133966i \(0.957229\pi\)
\(224\) 3.31268 1.91258i 0.221338 0.127789i
\(225\) −3.22117 + 3.82415i −0.214744 + 0.254943i
\(226\) −8.59155 + 14.8810i −0.571501 + 0.989869i
\(227\) −6.44101 + 11.1562i −0.427505 + 0.740460i −0.996651 0.0817765i \(-0.973941\pi\)
0.569146 + 0.822237i \(0.307274\pi\)
\(228\) −1.47515 −0.0976944
\(229\) −7.81590 + 13.5375i −0.516489 + 0.894586i 0.483327 + 0.875440i \(0.339428\pi\)
−0.999817 + 0.0191460i \(0.993905\pi\)
\(230\) −0.239133 + 2.70389i −0.0157680 + 0.178290i
\(231\) 3.20650 + 5.55382i 0.210972 + 0.365414i
\(232\) 2.97019i 0.195003i
\(233\) 2.50962i 0.164410i 0.996615 + 0.0822052i \(0.0261963\pi\)
−0.996615 + 0.0822052i \(0.973804\pi\)
\(234\) −1.56010 2.70218i −0.101987 0.176647i
\(235\) 14.4888 20.6506i 0.945146 1.34710i
\(236\) 6.01354i 0.391448i
\(237\) 0.796940 + 1.38034i 0.0517668 + 0.0896628i
\(238\) −18.2846 + 10.5566i −1.18522 + 0.684285i
\(239\) 3.69433 2.13292i 0.238966 0.137967i −0.375735 0.926727i \(-0.622610\pi\)
0.614702 + 0.788760i \(0.289276\pi\)
\(240\) −1.28429 + 1.83047i −0.0829002 + 0.118156i
\(241\) 25.2255 + 14.5640i 1.62492 + 0.938147i 0.985578 + 0.169223i \(0.0541259\pi\)
0.639341 + 0.768924i \(0.279207\pi\)
\(242\) 4.09462 + 7.09209i 0.263212 + 0.455897i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 5.55247 3.20572i 0.355461 0.205225i
\(245\) −1.50339 + 16.9989i −0.0960478 + 1.08602i
\(246\) 8.47308 + 4.89193i 0.540224 + 0.311898i
\(247\) −3.98612 + 2.30139i −0.253631 + 0.146434i
\(248\) 5.65752i 0.359253i
\(249\) −4.38165 −0.277676
\(250\) 10.8075 2.86308i 0.683528 0.181077i
\(251\) 13.7583i 0.868414i 0.900813 + 0.434207i \(0.142971\pi\)
−0.900813 + 0.434207i \(0.857029\pi\)
\(252\) 3.31268 + 1.91258i 0.208679 + 0.120481i
\(253\) −2.03521 −0.127952
\(254\) 14.0316 + 8.10117i 0.880423 + 0.508312i
\(255\) 7.08873 10.1034i 0.443913 0.632701i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 3.17314 + 5.49604i 0.197935 + 0.342833i 0.947859 0.318691i \(-0.103243\pi\)
−0.749924 + 0.661524i \(0.769910\pi\)
\(258\) 11.7908i 0.734063i
\(259\) 14.9714 17.8110i 0.930279 1.10672i
\(260\) −0.614648 + 6.94986i −0.0381188 + 0.431012i
\(261\) 2.57226 1.48510i 0.159219 0.0919252i
\(262\) −15.8066 9.12596i −0.976537 0.563804i
\(263\) −0.942492 0.544148i −0.0581165 0.0335536i 0.470660 0.882315i \(-0.344016\pi\)
−0.528777 + 0.848761i \(0.677349\pi\)
\(264\) −1.45192 0.838266i −0.0893595 0.0515917i
\(265\) 6.42919 + 0.568599i 0.394942 + 0.0349288i
\(266\) 2.82134 4.88671i 0.172988 0.299623i
\(267\) 8.49916 0.520140
\(268\) −0.933703 + 0.539074i −0.0570350 + 0.0329292i
\(269\) −3.18400 −0.194132 −0.0970658 0.995278i \(-0.530946\pi\)
−0.0970658 + 0.995278i \(0.530946\pi\)
\(270\) −2.22737 0.196990i −0.135554 0.0119884i
\(271\) −8.94307 15.4898i −0.543253 0.940941i −0.998715 0.0506859i \(-0.983859\pi\)
0.455462 0.890255i \(-0.349474\pi\)
\(272\) 2.75979 4.78010i 0.167337 0.289836i
\(273\) 11.9353 0.722354
\(274\) 2.57525 1.48682i 0.155576 0.0898221i
\(275\) 2.85216 + 7.88253i 0.171992 + 0.475334i
\(276\) −1.05130 + 0.606969i −0.0632809 + 0.0365353i
\(277\) 9.81717 17.0038i 0.589857 1.02166i −0.404394 0.914585i \(-0.632518\pi\)
0.994251 0.107077i \(-0.0341491\pi\)
\(278\) −5.43980 + 9.42200i −0.326257 + 0.565094i
\(279\) 4.89955 2.82876i 0.293329 0.169353i
\(280\) −3.60746 7.75534i −0.215587 0.463470i
\(281\) 10.2198 5.90041i 0.609662 0.351989i −0.163171 0.986598i \(-0.552172\pi\)
0.772833 + 0.634609i \(0.218839\pi\)
\(282\) 11.2816 0.671810
\(283\) −1.07987 + 1.87039i −0.0641916 + 0.111183i −0.896335 0.443377i \(-0.853780\pi\)
0.832144 + 0.554560i \(0.187114\pi\)
\(284\) 0.807805 + 1.39916i 0.0479344 + 0.0830249i
\(285\) −0.290590 + 3.28572i −0.0172131 + 0.194629i
\(286\) −5.23112 −0.309323
\(287\) −32.4108 + 18.7124i −1.91315 + 1.10456i
\(288\) −1.00000 −0.0589256
\(289\) −6.73293 + 11.6618i −0.396055 + 0.685987i
\(290\) −6.61573 0.585097i −0.388489 0.0343581i
\(291\) −14.5787 8.41700i −0.854617 0.493413i
\(292\) 11.0556 + 6.38296i 0.646981 + 0.373534i
\(293\) 3.09718 + 1.78816i 0.180939 + 0.104465i 0.587734 0.809054i \(-0.300020\pi\)
−0.406795 + 0.913520i \(0.633354\pi\)
\(294\) −6.60933 + 3.81590i −0.385464 + 0.222548i
\(295\) 13.3944 + 1.18461i 0.779853 + 0.0689705i
\(296\) −1.06142 + 5.98944i −0.0616941 + 0.348129i
\(297\) 1.67653i 0.0972823i
\(298\) −4.48787 7.77322i −0.259975 0.450291i
\(299\) −1.89387 + 3.28027i −0.109525 + 0.189703i
\(300\) 3.82415 + 3.22117i 0.220787 + 0.185974i
\(301\) −39.0591 22.5508i −2.25133 1.29981i
\(302\) 11.7537 0.676347
\(303\) −1.93864 1.11927i −0.111372 0.0643006i
\(304\) 1.47515i 0.0846058i
\(305\) −6.04656 12.9989i −0.346225 0.744316i
\(306\) 5.51959 0.315534
\(307\) 11.3779i 0.649371i 0.945822 + 0.324685i \(0.105258\pi\)
−0.945822 + 0.324685i \(0.894742\pi\)
\(308\) 5.55382 3.20650i 0.316458 0.182707i
\(309\) 3.66232 + 2.11444i 0.208342 + 0.120286i
\(310\) −12.6014 1.11447i −0.715712 0.0632978i
\(311\) 25.0523 14.4639i 1.42058 0.820174i 0.424234 0.905552i \(-0.360543\pi\)
0.996349 + 0.0853784i \(0.0272099\pi\)
\(312\) −2.70218 + 1.56010i −0.152981 + 0.0883234i
\(313\) −6.77595 11.7363i −0.382999 0.663374i 0.608490 0.793561i \(-0.291775\pi\)
−0.991489 + 0.130187i \(0.958442\pi\)
\(314\) 0.108243 + 0.0624939i 0.00610848 + 0.00352673i
\(315\) 4.91259 7.00182i 0.276793 0.394508i
\(316\) 1.38034 0.796940i 0.0776503 0.0448314i
\(317\) −0.669018 + 0.386258i −0.0375758 + 0.0216944i −0.518670 0.854974i \(-0.673573\pi\)
0.481094 + 0.876669i \(0.340239\pi\)
\(318\) 1.44322 + 2.49973i 0.0809318 + 0.140178i
\(319\) 4.97962i 0.278805i
\(320\) 1.83047 + 1.28429i 0.102326 + 0.0717937i
\(321\) 1.29611 + 2.24493i 0.0723419 + 0.125300i
\(322\) 4.64350i 0.258772i
\(323\) 8.14224i 0.453046i
\(324\) −0.500000 0.866025i −0.0277778 0.0481125i
\(325\) 15.3589 + 2.73810i 0.851956 + 0.151883i
\(326\) 8.41453 14.5744i 0.466038 0.807201i
\(327\) −14.1754 −0.783900
\(328\) 4.89193 8.47308i 0.270112 0.467847i
\(329\) −21.5770 + 37.3724i −1.18958 + 2.06041i
\(330\) −2.15315 + 3.06884i −0.118527 + 0.168934i
\(331\) −6.34735 + 3.66465i −0.348882 + 0.201427i −0.664193 0.747561i \(-0.731225\pi\)
0.315311 + 0.948988i \(0.397891\pi\)
\(332\) 4.38165i 0.240474i
\(333\) −5.71772 + 2.07550i −0.313329 + 0.113737i
\(334\) 20.0693 1.09814
\(335\) 1.01679 + 2.18590i 0.0555531 + 0.119428i
\(336\) 1.91258 3.31268i 0.104340 0.180722i
\(337\) −10.2237 5.90267i −0.556922 0.321539i 0.194987 0.980806i \(-0.437533\pi\)
−0.751909 + 0.659267i \(0.770867\pi\)
\(338\) 1.63217 2.82700i 0.0887782 0.153768i
\(339\) 17.1831i 0.933257i
\(340\) −10.1034 7.08873i −0.547935 0.384440i
\(341\) 9.48501i 0.513642i
\(342\) −1.27752 + 0.737577i −0.0690804 + 0.0398836i
\(343\) 2.41672i 0.130491i
\(344\) 11.7908 0.635717
\(345\) 1.14485 + 2.46121i 0.0616368 + 0.132507i
\(346\) −11.9639 6.90737i −0.643184 0.371342i
\(347\) 10.5172 0.564593 0.282297 0.959327i \(-0.408904\pi\)
0.282297 + 0.959327i \(0.408904\pi\)
\(348\) −1.48510 2.57226i −0.0796095 0.137888i
\(349\) −10.6455 18.4385i −0.569840 0.986991i −0.996581 0.0826177i \(-0.973672\pi\)
0.426742 0.904374i \(-0.359661\pi\)
\(350\) −17.9847 + 6.50744i −0.961321 + 0.347837i
\(351\) −2.70218 1.56010i −0.144231 0.0832721i
\(352\) −0.838266 + 1.45192i −0.0446797 + 0.0773876i
\(353\) −1.38917 2.40612i −0.0739383 0.128065i 0.826686 0.562664i \(-0.190223\pi\)
−0.900624 + 0.434599i \(0.856890\pi\)
\(354\) 3.00677 + 5.20788i 0.159808 + 0.276796i
\(355\) 3.27558 1.52366i 0.173850 0.0808677i
\(356\) 8.49916i 0.450454i
\(357\) −10.5566 + 18.2846i −0.558716 + 0.967725i
\(358\) −11.0947 + 6.40554i −0.586374 + 0.338543i
\(359\) −27.0841 −1.42945 −0.714723 0.699408i \(-0.753447\pi\)
−0.714723 + 0.699408i \(0.753447\pi\)
\(360\) −0.196990 + 2.22737i −0.0103823 + 0.117393i
\(361\) −8.41196 14.5699i −0.442735 0.766839i
\(362\) 14.8603 0.781041
\(363\) 7.09209 + 4.09462i 0.372238 + 0.214912i
\(364\) 11.9353i 0.625577i
\(365\) 16.3951 23.3676i 0.858158 1.22312i
\(366\) 3.20572 5.55247i 0.167566 0.290232i
\(367\) 0.553552 + 0.319593i 0.0288952 + 0.0166826i 0.514378 0.857564i \(-0.328023\pi\)
−0.485483 + 0.874246i \(0.661356\pi\)
\(368\) 0.606969 + 1.05130i 0.0316405 + 0.0548029i
\(369\) 9.78387 0.509328
\(370\) 13.1316 + 3.54405i 0.682681 + 0.184246i
\(371\) −11.0411 −0.573224
\(372\) −2.82876 4.89955i −0.146664 0.254030i
\(373\) −8.09384 4.67298i −0.419083 0.241958i 0.275602 0.961272i \(-0.411123\pi\)
−0.694685 + 0.719314i \(0.744456\pi\)
\(374\) 4.62689 8.01400i 0.239251 0.414394i
\(375\) 7.92806 7.88326i 0.409403 0.407090i
\(376\) 11.2816i 0.581805i
\(377\) −8.02598 4.63380i −0.413359 0.238653i
\(378\) 3.82515 0.196745
\(379\) 14.4675 + 25.0584i 0.743144 + 1.28716i 0.951057 + 0.309015i \(0.0999995\pi\)
−0.207913 + 0.978147i \(0.566667\pi\)
\(380\) 3.28572 + 0.290590i 0.168554 + 0.0149070i
\(381\) 16.2023 0.830071
\(382\) −10.8628 + 6.27162i −0.555787 + 0.320884i
\(383\) 5.13077 8.88675i 0.262170 0.454092i −0.704648 0.709557i \(-0.748895\pi\)
0.966818 + 0.255465i \(0.0822285\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) −6.04802 13.0021i −0.308236 0.662647i
\(386\) −13.0734 22.6437i −0.665417 1.15254i
\(387\) 5.89540 + 10.2111i 0.299680 + 0.519061i
\(388\) −8.41700 + 14.5787i −0.427309 + 0.740120i
\(389\) −24.1044 13.9167i −1.22214 0.705605i −0.256769 0.966473i \(-0.582658\pi\)
−0.965374 + 0.260868i \(0.915991\pi\)
\(390\) 2.94263 + 6.32608i 0.149006 + 0.320333i
\(391\) −3.35022 5.80275i −0.169428 0.293458i
\(392\) 3.81590 + 6.60933i 0.192732 + 0.333822i
\(393\) −18.2519 −0.920688
\(394\) 20.8765 + 12.0530i 1.05174 + 0.607224i
\(395\) −1.50317 3.23152i −0.0756327 0.162596i
\(396\) −1.67653 −0.0842489
\(397\) 12.4253i 0.623610i 0.950146 + 0.311805i \(0.100934\pi\)
−0.950146 + 0.311805i \(0.899066\pi\)
\(398\) 18.6153 10.7475i 0.933099 0.538725i
\(399\) 5.64269i 0.282488i
\(400\) 3.22117 3.82415i 0.161058 0.191207i
\(401\) 34.4549i 1.72060i 0.509790 + 0.860299i \(0.329723\pi\)
−0.509790 + 0.860299i \(0.670277\pi\)
\(402\) −0.539074 + 0.933703i −0.0268866 + 0.0465689i
\(403\) −15.2876 8.82630i −0.761530 0.439669i
\(404\) −1.11927 + 1.93864i −0.0556860 + 0.0964509i
\(405\) −2.02746 + 0.943089i −0.100745 + 0.0468625i
\(406\) 11.3614 0.563859
\(407\) −1.77951 + 10.0415i −0.0882072 + 0.497738i
\(408\) 5.51959i 0.273260i
\(409\) −9.78149 + 5.64735i −0.483664 + 0.279243i −0.721942 0.691954i \(-0.756750\pi\)
0.238278 + 0.971197i \(0.423417\pi\)
\(410\) −17.9091 12.5653i −0.884465 0.620555i
\(411\) 1.48682 2.57525i 0.0733394 0.127028i
\(412\) 2.11444 3.66232i 0.104171 0.180430i
\(413\) −23.0027 −1.13189
\(414\) −0.606969 + 1.05130i −0.0298309 + 0.0516687i
\(415\) 9.75957 + 0.863139i 0.479078 + 0.0423698i
\(416\) 1.56010 + 2.70218i 0.0764903 + 0.132485i
\(417\) 10.8796i 0.532776i
\(418\) 2.47314i 0.120965i
\(419\) 1.76879 + 3.06364i 0.0864111 + 0.149668i 0.905992 0.423296i \(-0.139127\pi\)
−0.819581 + 0.572964i \(0.805793\pi\)
\(420\) −7.00182 4.91259i −0.341654 0.239710i
\(421\) 0.321990i 0.0156928i 0.999969 + 0.00784642i \(0.00249762\pi\)
−0.999969 + 0.00784642i \(0.997502\pi\)
\(422\) −3.81199 6.60256i −0.185565 0.321407i
\(423\) 9.77017 5.64081i 0.475042 0.274265i
\(424\) 2.49973 1.44322i 0.121398 0.0700890i
\(425\) −17.7795 + 21.1077i −0.862433 + 1.02387i
\(426\) 1.39916 + 0.807805i 0.0677895 + 0.0391383i
\(427\) 12.2624 + 21.2391i 0.593418 + 1.02783i
\(428\) 2.24493 1.29611i 0.108513 0.0626499i
\(429\) −4.53028 + 2.61556i −0.218724 + 0.126280i
\(430\) 2.32267 26.2625i 0.112009 1.26649i
\(431\) 21.4026 + 12.3568i 1.03093 + 0.595206i 0.917250 0.398312i \(-0.130404\pi\)
0.113676 + 0.993518i \(0.463737\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 2.86272i 0.137574i −0.997631 0.0687868i \(-0.978087\pi\)
0.997631 0.0687868i \(-0.0219128\pi\)
\(434\) 21.6409 1.03879
\(435\) −6.02194 + 2.80116i −0.288730 + 0.134305i
\(436\) 14.1754i 0.678877i
\(437\) 1.55083 + 0.895373i 0.0741863 + 0.0428315i
\(438\) 12.7659 0.609979
\(439\) −1.68156 0.970851i −0.0802566 0.0463362i 0.459335 0.888263i \(-0.348088\pi\)
−0.539591 + 0.841927i \(0.681421\pi\)
\(440\) 3.06884 + 2.15315i 0.146301 + 0.102647i
\(441\) −3.81590 + 6.60933i −0.181709 + 0.314730i
\(442\) −8.61112 14.9149i −0.409589 0.709429i
\(443\) 19.3246i 0.918141i −0.888400 0.459070i \(-0.848183\pi\)
0.888400 0.459070i \(-0.151817\pi\)
\(444\) 2.07550 + 5.71772i 0.0984988 + 0.271351i
\(445\) −18.9308 1.67425i −0.897406 0.0793669i
\(446\) 3.46504 2.00054i 0.164075 0.0947285i
\(447\) −7.77322 4.48787i −0.367661 0.212269i
\(448\) −3.31268 1.91258i −0.156509 0.0903608i
\(449\) −19.4648 11.2380i −0.918600 0.530354i −0.0354115 0.999373i \(-0.511274\pi\)
−0.883188 + 0.469019i \(0.844608\pi\)
\(450\) 4.92239 + 0.877540i 0.232044 + 0.0413676i
\(451\) 8.20149 14.2054i 0.386193 0.668906i
\(452\) 17.1831 0.808225
\(453\) 10.1790 5.87683i 0.478250 0.276118i
\(454\) 12.8820 0.604583
\(455\) −26.5843 2.35112i −1.24629 0.110222i
\(456\) 0.737577 + 1.27752i 0.0345402 + 0.0598254i
\(457\) −5.93888 + 10.2864i −0.277809 + 0.481179i −0.970840 0.239729i \(-0.922942\pi\)
0.693031 + 0.720908i \(0.256275\pi\)
\(458\) 15.6318 0.730426
\(459\) 4.78010 2.75979i 0.223116 0.128816i
\(460\) 2.46121 1.14485i 0.114754 0.0533790i
\(461\) 7.12646 4.11446i 0.331912 0.191630i −0.324777 0.945790i \(-0.605289\pi\)
0.656690 + 0.754161i \(0.271956\pi\)
\(462\) 3.20650 5.55382i 0.149180 0.258387i
\(463\) −12.3478 + 21.3871i −0.573853 + 0.993942i 0.422313 + 0.906450i \(0.361218\pi\)
−0.996165 + 0.0874916i \(0.972115\pi\)
\(464\) −2.57226 + 1.48510i −0.119414 + 0.0689439i
\(465\) −11.4704 + 5.33554i −0.531926 + 0.247430i
\(466\) 2.17339 1.25481i 0.100680 0.0581279i
\(467\) −14.7594 −0.682984 −0.341492 0.939885i \(-0.610932\pi\)
−0.341492 + 0.939885i \(0.610932\pi\)
\(468\) −1.56010 + 2.70218i −0.0721157 + 0.124908i
\(469\) −2.06204 3.57156i −0.0952161 0.164919i
\(470\) −25.1284 2.22236i −1.15909 0.102510i
\(471\) 0.124988 0.00575913
\(472\) 5.20788 3.00677i 0.239712 0.138398i
\(473\) 19.7677 0.908918
\(474\) 0.796940 1.38034i 0.0366047 0.0634012i
\(475\) 1.29451 7.26128i 0.0593960 0.333170i
\(476\) 18.2846 + 10.5566i 0.838075 + 0.483863i
\(477\) 2.49973 + 1.44322i 0.114455 + 0.0660805i
\(478\) −3.69433 2.13292i −0.168975 0.0975577i
\(479\) −25.0708 + 14.4746i −1.14551 + 0.661363i −0.947790 0.318895i \(-0.896688\pi\)
−0.197724 + 0.980258i \(0.563355\pi\)
\(480\) 2.22737 + 0.196990i 0.101665 + 0.00899131i
\(481\) 14.5286 + 12.2123i 0.662446 + 0.556832i
\(482\) 29.1279i 1.32674i
\(483\) −2.32175 4.02139i −0.105643 0.182980i
\(484\) 4.09462 7.09209i 0.186119 0.322368i
\(485\) 30.8141 + 21.6197i 1.39920 + 0.981698i
\(486\) −0.866025 0.500000i −0.0392837 0.0226805i
\(487\) 42.1560 1.91027 0.955135 0.296171i \(-0.0957098\pi\)
0.955135 + 0.296171i \(0.0957098\pi\)
\(488\) −5.55247 3.20572i −0.251349 0.145116i
\(489\) 16.8291i 0.761037i
\(490\) 15.4731 7.19746i 0.699005 0.325148i
\(491\) −26.3161 −1.18763 −0.593814 0.804602i \(-0.702379\pi\)
−0.593814 + 0.804602i \(0.702379\pi\)
\(492\) 9.78387i 0.441091i
\(493\) 14.1978 8.19712i 0.639438 0.369180i
\(494\) 3.98612 + 2.30139i 0.179344 + 0.103544i
\(495\) −0.330260 + 3.73427i −0.0148441 + 0.167843i
\(496\) −4.89955 + 2.82876i −0.219996 + 0.127015i
\(497\) −5.35200 + 3.08998i −0.240070 + 0.138605i
\(498\) 2.19082 + 3.79462i 0.0981731 + 0.170041i
\(499\) −17.0790 9.86057i −0.764561 0.441420i 0.0663697 0.997795i \(-0.478858\pi\)
−0.830931 + 0.556375i \(0.812192\pi\)
\(500\) −7.88326 7.92806i −0.352550 0.354554i
\(501\) 17.3805 10.0346i 0.776503 0.448314i
\(502\) 11.9150 6.87914i 0.531793 0.307031i
\(503\) 9.47499 + 16.4112i 0.422469 + 0.731738i 0.996180 0.0873197i \(-0.0278302\pi\)
−0.573711 + 0.819058i \(0.694497\pi\)
\(504\) 3.82515i 0.170386i
\(505\) 4.09759 + 2.87493i 0.182340 + 0.127933i
\(506\) 1.01760 + 1.76254i 0.0452380 + 0.0783545i
\(507\) 3.26433i 0.144974i
\(508\) 16.2023i 0.718862i
\(509\) 12.3220 + 21.3424i 0.546164 + 0.945984i 0.998533 + 0.0541528i \(0.0172458\pi\)
−0.452369 + 0.891831i \(0.649421\pi\)
\(510\) −12.2942 1.08730i −0.544396 0.0481466i
\(511\) −24.4158 + 42.2894i −1.08009 + 1.87077i
\(512\) 1.00000 0.0441942
\(513\) −0.737577 + 1.27752i −0.0325648 + 0.0564039i
\(514\) 3.17314 5.49604i 0.139961 0.242420i
\(515\) −7.74084 5.43109i −0.341102 0.239323i
\(516\) 10.2111 5.89540i 0.449520 0.259531i
\(517\) 18.9140i 0.831837i
\(518\) −22.9105 4.06011i −1.00663 0.178391i
\(519\) −13.8147 −0.606399
\(520\) 6.32608 2.94263i 0.277417 0.129043i
\(521\) 0.538526 0.932754i 0.0235933 0.0408647i −0.853988 0.520293i \(-0.825823\pi\)
0.877581 + 0.479428i \(0.159156\pi\)
\(522\) −2.57226 1.48510i −0.112585 0.0650009i
\(523\) −13.2793 + 23.0004i −0.580662 + 1.00574i 0.414739 + 0.909940i \(0.363873\pi\)
−0.995401 + 0.0957956i \(0.969460\pi\)
\(524\) 18.2519i 0.797339i
\(525\) −12.3215 + 14.6279i −0.537752 + 0.638416i
\(526\) 1.08830i 0.0474519i
\(527\) 27.0435 15.6136i 1.17803 0.680138i
\(528\) 1.67653i 0.0729617i
\(529\) −21.5264 −0.935928
\(530\) −2.72217 5.85214i −0.118244 0.254201i
\(531\) 5.20788 + 3.00677i 0.226003 + 0.130483i
\(532\) −5.64269 −0.244642
\(533\) −15.2638 26.4377i −0.661150 1.14514i
\(534\) −4.24958 7.36049i −0.183897 0.318519i
\(535\) −2.44470 5.25562i −0.105693 0.227220i
\(536\) 0.933703 + 0.539074i 0.0403298 + 0.0232844i
\(537\) −6.40554 + 11.0947i −0.276419 + 0.478773i
\(538\) 1.59200 + 2.75742i 0.0686359 + 0.118881i
\(539\) 6.39748 + 11.0808i 0.275559 + 0.477282i
\(540\) 0.943089 + 2.02746i 0.0405841 + 0.0872479i
\(541\) 32.7874i 1.40964i 0.709386 + 0.704821i \(0.248973\pi\)
−0.709386 + 0.704821i \(0.751027\pi\)
\(542\) −8.94307 + 15.4898i −0.384138 + 0.665346i
\(543\) 12.8694 7.43016i 0.552280 0.318859i
\(544\) −5.51959 −0.236650
\(545\) 31.5739 + 2.79240i 1.35248 + 0.119613i
\(546\) −5.96763 10.3362i −0.255391 0.442350i
\(547\) −15.9573 −0.682284 −0.341142 0.940012i \(-0.610814\pi\)
−0.341142 + 0.940012i \(0.610814\pi\)
\(548\) −2.57525 1.48682i −0.110009 0.0635138i
\(549\) 6.41144i 0.273634i
\(550\) 5.40039 6.41130i 0.230273 0.273379i
\(551\) −2.19074 + 3.79448i −0.0933289 + 0.161650i
\(552\) 1.05130 + 0.606969i 0.0447464 + 0.0258343i
\(553\) 3.04842 + 5.28002i 0.129632 + 0.224529i
\(554\) −19.6343 −0.834183
\(555\) 13.1443 3.49658i 0.557947 0.148422i
\(556\) 10.8796 0.461397
\(557\) −14.2933 24.7567i −0.605626 1.04898i −0.991952 0.126613i \(-0.959589\pi\)
0.386326 0.922362i \(-0.373744\pi\)
\(558\) −4.89955 2.82876i −0.207415 0.119751i
\(559\) 18.3948 31.8608i 0.778019 1.34757i
\(560\) −4.91259 + 7.00182i −0.207595 + 0.295881i
\(561\) 9.25377i 0.390695i
\(562\) −10.2198 5.90041i −0.431096 0.248894i
\(563\) 10.1756 0.428850 0.214425 0.976740i \(-0.431212\pi\)
0.214425 + 0.976740i \(0.431212\pi\)
\(564\) −5.64081 9.77017i −0.237521 0.411398i
\(565\) 3.38489 38.2732i 0.142403 1.61016i
\(566\) 2.15974 0.0907806
\(567\) 3.31268 1.91258i 0.139119 0.0803207i
\(568\) 0.807805 1.39916i 0.0338948 0.0587075i
\(569\) 41.4725i 1.73862i 0.494270 + 0.869308i \(0.335435\pi\)
−0.494270 + 0.869308i \(0.664565\pi\)
\(570\) 2.99081 1.39120i 0.125271 0.0582710i
\(571\) −3.26000 5.64649i −0.136427 0.236298i 0.789715 0.613474i \(-0.210229\pi\)
−0.926142 + 0.377176i \(0.876895\pi\)
\(572\) 2.61556 + 4.53028i 0.109362 + 0.189421i
\(573\) −6.27162 + 10.8628i −0.262001 + 0.453798i
\(574\) 32.4108 + 18.7124i 1.35280 + 0.781040i
\(575\) −2.06518 5.70756i −0.0861240 0.238022i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) −17.6741 30.6124i −0.735781 1.27441i −0.954380 0.298596i \(-0.903482\pi\)
0.218599 0.975815i \(-0.429851\pi\)
\(578\) 13.4659 0.560106
\(579\) −22.6437 13.0734i −0.941041 0.543310i
\(580\) 2.80116 + 6.02194i 0.116312 + 0.250047i
\(581\) −16.7605 −0.695341
\(582\) 16.8340i 0.697792i
\(583\) 4.19088 2.41961i 0.173569 0.100210i
\(584\) 12.7659i 0.528257i
\(585\) 5.71143 + 4.00723i 0.236139 + 0.165679i
\(586\) 3.57631i 0.147736i
\(587\) 4.39397 7.61058i 0.181359 0.314122i −0.760985 0.648770i \(-0.775284\pi\)
0.942343 + 0.334647i \(0.108617\pi\)
\(588\) 6.60933 + 3.81590i 0.272564 + 0.157365i
\(589\) −4.17285 + 7.22759i −0.171939 + 0.297808i
\(590\) −5.67131 12.1922i −0.233484 0.501945i
\(591\) 24.1061 0.991592
\(592\) 5.71772 2.07550i 0.234997 0.0853025i
\(593\) 25.1637i 1.03335i −0.856182 0.516675i \(-0.827170\pi\)
0.856182 0.516675i \(-0.172830\pi\)
\(594\) −1.45192 + 0.838266i −0.0595730 + 0.0343945i
\(595\) 27.1155 38.6472i 1.11163 1.58438i
\(596\) −4.48787 + 7.77322i −0.183830 + 0.318404i
\(597\) 10.7475 18.6153i 0.439867 0.761872i
\(598\) 3.78773 0.154892
\(599\) 14.2456 24.6741i 0.582060 1.00816i −0.413175 0.910652i \(-0.635580\pi\)
0.995235 0.0975062i \(-0.0310866\pi\)
\(600\) 0.877540 4.92239i 0.0358254 0.200956i
\(601\) 11.6102 + 20.1095i 0.473591 + 0.820284i 0.999543 0.0302304i \(-0.00962411\pi\)
−0.525952 + 0.850514i \(0.676291\pi\)
\(602\) 45.1016i 1.83820i
\(603\) 1.07815i 0.0439056i
\(604\) −5.87683 10.1790i −0.239125 0.414177i
\(605\) −14.9901 10.5173i −0.609436 0.427590i
\(606\) 2.23855i 0.0909348i
\(607\) −23.1472 40.0921i −0.939515 1.62729i −0.766377 0.642391i \(-0.777943\pi\)
−0.173138 0.984898i \(-0.555391\pi\)
\(608\) 1.27752 0.737577i 0.0518103 0.0299127i
\(609\) 9.83930 5.68072i 0.398708 0.230194i
\(610\) −8.23412 + 11.7359i −0.333390 + 0.475174i
\(611\) −30.4849 17.6005i −1.23329 0.712039i
\(612\) −2.75979 4.78010i −0.111558 0.193224i
\(613\) 23.1733 13.3791i 0.935963 0.540378i 0.0472702 0.998882i \(-0.484948\pi\)
0.888692 + 0.458504i \(0.151614\pi\)
\(614\) 9.85354 5.68895i 0.397657 0.229587i
\(615\) −21.7923 1.92732i −0.878752 0.0777171i
\(616\) −5.55382 3.20650i −0.223770 0.129193i
\(617\) 4.78348 2.76174i 0.192576 0.111184i −0.400612 0.916248i \(-0.631203\pi\)
0.593188 + 0.805064i \(0.297869\pi\)
\(618\) 4.22889i 0.170111i
\(619\) −22.2474 −0.894200 −0.447100 0.894484i \(-0.647543\pi\)
−0.447100 + 0.894484i \(0.647543\pi\)
\(620\) 5.33554 + 11.4704i 0.214280 + 0.460661i
\(621\) 1.21394i 0.0487137i
\(622\) −25.0523 14.4639i −1.00450 0.579951i
\(623\) 32.5106 1.30251
\(624\) 2.70218 + 1.56010i 0.108174 + 0.0624540i
\(625\) −19.2117 + 15.9972i −0.768467 + 0.639889i
\(626\) −6.77595 + 11.7363i −0.270821 + 0.469076i
\(627\) 1.23657 + 2.14180i 0.0493839 + 0.0855354i
\(628\) 0.124988i 0.00498755i
\(629\) −31.5595 + 11.4559i −1.25836 + 0.456777i
\(630\) −8.52005 0.753516i −0.339447 0.0300208i
\(631\) −27.6705 + 15.9756i −1.10154 + 0.635977i −0.936626 0.350330i \(-0.886069\pi\)
−0.164918 + 0.986307i \(0.552736\pi\)
\(632\) −1.38034 0.796940i −0.0549070 0.0317006i
\(633\) −6.60256 3.81199i −0.262428 0.151513i
\(634\) 0.669018 + 0.386258i 0.0265701 + 0.0153403i
\(635\) −36.0887 3.19169i −1.43213 0.126658i
\(636\) 1.44322 2.49973i 0.0572274 0.0991208i
\(637\) 23.8128 0.943496
\(638\) −4.31248 + 2.48981i −0.170733 + 0.0985726i
\(639\) 1.61561 0.0639126
\(640\) 0.196990 2.22737i 0.00778670 0.0880447i
\(641\) −7.48229 12.9597i −0.295533 0.511878i 0.679576 0.733605i \(-0.262164\pi\)
−0.975109 + 0.221727i \(0.928830\pi\)
\(642\) 1.29611 2.24493i 0.0511534 0.0886004i
\(643\) −11.0905 −0.437365 −0.218683 0.975796i \(-0.570176\pi\)
−0.218683 + 0.975796i \(0.570176\pi\)
\(644\) −4.02139 + 2.32175i −0.158465 + 0.0914898i
\(645\) −11.1198 23.9053i −0.437841 0.941272i
\(646\) −7.05139 + 4.07112i −0.277433 + 0.160176i
\(647\) 10.1375 17.5587i 0.398547 0.690304i −0.595000 0.803726i \(-0.702848\pi\)
0.993547 + 0.113422i \(0.0361812\pi\)
\(648\) −0.500000 + 0.866025i −0.0196419 + 0.0340207i
\(649\) 8.73118 5.04095i 0.342729 0.197875i
\(650\) −5.30816 14.6702i −0.208203 0.575413i
\(651\) 18.7415 10.8204i 0.734539 0.424086i
\(652\) −16.8291 −0.659077
\(653\) −16.6048 + 28.7604i −0.649797 + 1.12548i 0.333375 + 0.942794i \(0.391813\pi\)
−0.983171 + 0.182686i \(0.941521\pi\)
\(654\) 7.08769 + 12.2762i 0.277151 + 0.480039i
\(655\) 40.6539 + 3.59544i 1.58848 + 0.140486i
\(656\) −9.78387 −0.381996
\(657\) 11.0556 6.38296i 0.431320 0.249023i
\(658\) 43.1539 1.68231
\(659\) 14.0393 24.3168i 0.546894 0.947249i −0.451591 0.892225i \(-0.649143\pi\)
0.998485 0.0550236i \(-0.0175234\pi\)
\(660\) 3.73427 + 0.330260i 0.145356 + 0.0128553i
\(661\) −15.3660 8.87157i −0.597669 0.345064i 0.170455 0.985365i \(-0.445476\pi\)
−0.768124 + 0.640301i \(0.778810\pi\)
\(662\) 6.34735 + 3.66465i 0.246697 + 0.142430i
\(663\) −14.9149 8.61112i −0.579247 0.334428i
\(664\) 3.79462 2.19082i 0.147260 0.0850204i
\(665\) −1.11155 + 12.5684i −0.0431041 + 0.487381i
\(666\) 4.65629 + 3.91394i 0.180428 + 0.151662i
\(667\) 3.60563i 0.139611i
\(668\) −10.0346 17.3805i −0.388252 0.672471i
\(669\) 2.00054 3.46504i 0.0773455 0.133966i
\(670\) 1.38465 1.97351i 0.0534936 0.0762435i
\(671\) −9.30890 5.37450i −0.359366 0.207480i
\(672\) −3.82515 −0.147558
\(673\) 21.5251 + 12.4275i 0.829730 + 0.479045i 0.853760 0.520666i \(-0.174316\pi\)
−0.0240303 + 0.999711i \(0.507650\pi\)
\(674\) 11.8053i 0.454725i
\(675\) 4.70168 1.70122i 0.180968 0.0654801i
\(676\) −3.26433 −0.125551
\(677\) 31.6990i 1.21829i −0.793059 0.609145i \(-0.791513\pi\)
0.793059 0.609145i \(-0.208487\pi\)
\(678\) 14.8810 8.59155i 0.571501 0.329956i
\(679\) −55.7657 32.1963i −2.14009 1.23558i
\(680\) −1.08730 + 12.2942i −0.0416961 + 0.471461i
\(681\) 11.1562 6.44101i 0.427505 0.246820i
\(682\) −8.21426 + 4.74250i −0.314540 + 0.181600i
\(683\) −23.4462 40.6100i −0.897144 1.55390i −0.831129 0.556080i \(-0.812305\pi\)
−0.0660151 0.997819i \(-0.521029\pi\)
\(684\) 1.27752 + 0.737577i 0.0488472 + 0.0282019i
\(685\) −3.81900 + 5.44315i −0.145917 + 0.207972i
\(686\) −2.09294 + 1.20836i −0.0799089 + 0.0461354i
\(687\) 13.5375 7.81590i 0.516489 0.298195i
\(688\) −5.89540 10.2111i −0.224760 0.389296i
\(689\) 9.00628i 0.343112i
\(690\) 1.55904 2.22208i 0.0593518 0.0845930i
\(691\) 4.24583 + 7.35399i 0.161519 + 0.279759i 0.935414 0.353555i \(-0.115027\pi\)
−0.773895 + 0.633314i \(0.781694\pi\)
\(692\) 13.8147i 0.525157i
\(693\) 6.41299i 0.243609i
\(694\) −5.25860 9.10817i −0.199614 0.345741i
\(695\) 2.14317 24.2329i 0.0812950 0.919207i
\(696\) −1.48510 + 2.57226i −0.0562924 + 0.0975014i
\(697\) 54.0029 2.04551
\(698\) −10.6455 + 18.4385i −0.402938 + 0.697908i
\(699\) 1.25481 2.17339i 0.0474612 0.0822052i
\(700\) 14.6279 + 12.3215i 0.552884 + 0.465707i
\(701\) 10.6232 6.13333i 0.401234 0.231653i −0.285782 0.958295i \(-0.592253\pi\)
0.687016 + 0.726642i \(0.258920\pi\)
\(702\) 3.12020i 0.117764i
\(703\) 5.77366 6.86875i 0.217758 0.259060i
\(704\) 1.67653 0.0631867
\(705\) −22.8730 + 10.6396i −0.861447 + 0.400709i
\(706\) −1.38917 + 2.40612i −0.0522823 + 0.0905555i
\(707\) −7.41559 4.28140i −0.278892 0.161018i
\(708\) 3.00677 5.20788i 0.113001 0.195724i
\(709\) 11.8142i 0.443692i −0.975082 0.221846i \(-0.928792\pi\)
0.975082 0.221846i \(-0.0712083\pi\)
\(710\) −2.95732 2.07491i −0.110986 0.0778698i
\(711\) 1.59388i 0.0597752i
\(712\) −7.36049 + 4.24958i −0.275846 + 0.159260i
\(713\) 6.86788i 0.257204i
\(714\) 21.1133 0.790144
\(715\) 10.6059 4.93341i 0.396637 0.184499i
\(716\) 11.0947 + 6.40554i 0.414629 + 0.239386i
\(717\) −4.26585 −0.159311
\(718\) 13.5421 + 23.4555i 0.505385 + 0.875353i
\(719\) 7.22948 + 12.5218i 0.269614 + 0.466985i 0.968762 0.247992i \(-0.0797705\pi\)
−0.699148 + 0.714977i \(0.746437\pi\)
\(720\) 2.02746 0.943089i 0.0755589 0.0351468i
\(721\) 14.0089 + 8.08807i 0.521720 + 0.301215i
\(722\) −8.41196 + 14.5699i −0.313061 + 0.542237i
\(723\) −14.5640 25.2255i −0.541639 0.938147i
\(724\) −7.43016 12.8694i −0.276140 0.478288i
\(725\) 13.9649 5.05296i 0.518644 0.187662i
\(726\) 8.18924i 0.303931i
\(727\) 15.6966 27.1874i 0.582156 1.00832i −0.413068 0.910700i \(-0.635543\pi\)
0.995223 0.0976231i \(-0.0311240\pi\)
\(728\) −10.3362 + 5.96763i −0.383086 + 0.221175i
\(729\) −1.00000 −0.0370370
\(730\) −28.4345 2.51475i −1.05241 0.0930752i
\(731\) 32.5402 + 56.3613i 1.20354 + 2.08460i
\(732\) −6.41144 −0.236974
\(733\) 17.0623 + 9.85091i 0.630210 + 0.363852i 0.780833 0.624739i \(-0.214795\pi\)
−0.150624 + 0.988591i \(0.548128\pi\)
\(734\) 0.639187i 0.0235928i
\(735\) 9.80140 13.9698i 0.361530 0.515282i
\(736\) 0.606969 1.05130i 0.0223732 0.0387515i
\(737\) 1.56538 + 0.903775i 0.0576616 + 0.0332910i
\(738\) −4.89193 8.47308i −0.180075 0.311898i
\(739\) 20.8046 0.765309 0.382654 0.923892i \(-0.375010\pi\)
0.382654 + 0.923892i \(0.375010\pi\)
\(740\) −3.49658 13.1443i −0.128537 0.483196i
\(741\) 4.60278 0.169087
\(742\) 5.52054 + 9.56186i 0.202665 + 0.351027i
\(743\) 32.1117 + 18.5397i 1.17807 + 0.680156i 0.955566 0.294776i \(-0.0952452\pi\)
0.222499 + 0.974933i \(0.428579\pi\)
\(744\) −2.82876 + 4.89955i −0.103707 + 0.179626i
\(745\) 16.4298 + 11.5274i 0.601942 + 0.422332i
\(746\) 9.34596i 0.342180i
\(747\) 3.79462 + 2.19082i 0.138838 + 0.0801580i
\(748\) −9.25377 −0.338351
\(749\) 4.95783 + 8.58721i 0.181155 + 0.313770i
\(750\) −10.7911 2.92427i −0.394037 0.106779i
\(751\) −8.36573 −0.305270 −0.152635 0.988283i \(-0.548776\pi\)
−0.152635 + 0.988283i \(0.548776\pi\)
\(752\) −9.77017 + 5.64081i −0.356281 + 0.205699i
\(753\) 6.87914 11.9150i 0.250690 0.434207i
\(754\) 9.26760i 0.337506i
\(755\) −23.8301 + 11.0848i −0.867264 + 0.403415i
\(756\) −1.91258 3.31268i −0.0695597 0.120481i
\(757\) −7.05341 12.2169i −0.256361 0.444030i 0.708904 0.705305i \(-0.249190\pi\)
−0.965264 + 0.261276i \(0.915857\pi\)
\(758\) 14.4675 25.0584i 0.525482 0.910161i
\(759\) 1.76254 + 1.01760i 0.0639762 + 0.0369367i
\(760\) −1.39120 2.99081i −0.0504641 0.108488i
\(761\) 8.89832 + 15.4123i 0.322564 + 0.558697i 0.981016 0.193926i \(-0.0621220\pi\)
−0.658453 + 0.752622i \(0.728789\pi\)
\(762\) −8.10117 14.0316i −0.293474 0.508312i
\(763\) −54.2230 −1.96300
\(764\) 10.8628 + 6.27162i 0.393001 + 0.226899i
\(765\) −11.1907 + 5.20546i −0.404602 + 0.188204i
\(766\) −10.2615 −0.370764
\(767\) 18.7635i 0.677510i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) 21.3406i 0.769563i 0.923008 + 0.384782i \(0.125723\pi\)
−0.923008 + 0.384782i \(0.874277\pi\)
\(770\) −8.23611 + 11.7388i −0.296809 + 0.423036i
\(771\) 6.34628i 0.228556i
\(772\) −13.0734 + 22.6437i −0.470521 + 0.814966i
\(773\) 39.3866 + 22.7399i 1.41664 + 0.817896i 0.996002 0.0893331i \(-0.0284736\pi\)
0.420636 + 0.907229i \(0.361807\pi\)
\(774\) 5.89540 10.2111i 0.211906 0.367032i
\(775\) 26.5999 9.62470i 0.955495 0.345729i
\(776\) 16.8340 0.604306