Properties

Label 1110.2.ba.b.529.10
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 529.10
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.b.619.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.02746 + 0.943089i) q^{5} +1.00000i q^{6} +(3.31268 + 1.91258i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.02746 + 0.943089i) 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} +(1.28429 + 1.83047i) 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} +(-1.83047 + 1.28429i) q^{20} +(1.91258 + 3.31268i) q^{21} +(0.838266 + 1.45192i) q^{22} +1.21394 q^{23} +(-0.866025 - 0.500000i) q^{24} +(3.22117 + 3.82415i) q^{25} -3.12020 q^{26} +1.00000i q^{27} +(-3.31268 + 1.91258i) q^{28} -2.97019i q^{29} +(-0.943089 + 2.02746i) q^{30} -5.65752i q^{31} +(0.500000 - 0.866025i) q^{32} +(1.45192 + 0.838266i) q^{33} +(2.75979 - 4.78010i) q^{34} +(4.91259 + 7.00182i) q^{35} -1.00000 q^{36} +(1.06142 - 5.98944i) q^{37} -1.47515i q^{38} +(-2.70218 + 1.56010i) q^{39} +(-2.02746 - 0.943089i) 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} +(-1.70122 + 4.70168i) q^{50} -5.51959i q^{51} +(-1.56010 - 2.70218i) q^{52} +(-2.49973 + 1.44322i) q^{53} +(-0.866025 + 0.500000i) q^{54} +(3.39910 + 1.58112i) 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} +(-5.71143 + 4.00723i) q^{65} +1.67653i q^{66} +(-0.933703 - 0.539074i) q^{67} +5.51959 q^{68} +(1.05130 + 0.606969i) q^{69} +(-3.60746 + 7.75534i) 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} +(-1.83047 + 1.28429i) 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} +(-1.89452 - 2.70022i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} + 4q^{5} - 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} + 4q^{5} - 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} + 14q^{13} + 2q^{15} - 18q^{16} - 18q^{18} + 6q^{19} - 2q^{20} + 2q^{22} + 20q^{23} - 2q^{25} + 28q^{26} - 2q^{30} + 18q^{32} + 6q^{33} - 20q^{35} - 36q^{36} - 20q^{37} + 6q^{39} - 4q^{40} + 10q^{41} - 2q^{44} + 2q^{45} + 10q^{46} + 10q^{49} - 4q^{50} + 14q^{52} + 12q^{53} + 40q^{55} - 8q^{57} - 30q^{58} + 18q^{59} - 4q^{60} - 6q^{61} + 12q^{62} + 36q^{64} - 32q^{65} - 36q^{67} + 12q^{69} - 40q^{70} - 24q^{71} - 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} + 24q^{77} + 6q^{78} - 2q^{80} - 18q^{81} + 20q^{82} - 36q^{83} + 26q^{85} + 10q^{87} - 4q^{88} - 2q^{90} - 36q^{91} - 10q^{92} - 12q^{93} + 12q^{94} + 18q^{95} - 52q^{97} - 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.866025 + 0.500000i 0.500000 + 0.288675i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 2.02746 + 0.943089i 0.906706 + 0.421762i
\(6\) 1.00000i 0.408248i
\(7\) 3.31268 + 1.91258i 1.25208 + 0.722886i 0.971521 0.236952i \(-0.0761485\pi\)
0.280554 + 0.959838i \(0.409482\pi\)
\(8\) −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 −0.997104 0.0760461i \(-0.975770\pi\)
0.564410 + 0.825495i \(0.309104\pi\)
\(14\) 3.82515i 1.02232i
\(15\) 1.28429 + 1.83047i 0.331601 + 0.472625i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −2.75979 4.78010i −0.669348 1.15935i −0.978087 0.208199i \(-0.933240\pi\)
0.308738 0.951147i \(-0.400093\pi\)
\(18\) −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 \(0.720789\pi\)
\(20\) −1.83047 + 1.28429i −0.409305 + 0.287175i
\(21\) 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 \(-0.459606\pi\)
0.126562 + 0.991959i \(0.459606\pi\)
\(24\) −0.866025 0.500000i −0.176777 0.102062i
\(25\) 3.22117 + 3.82415i 0.644233 + 0.764829i
\(26\) −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 \(-0.0889346\pi\)
\(30\) −0.943089 + 2.02746i −0.172184 + 0.370161i
\(31\) 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
\(35\) 4.91259 + 7.00182i 0.830379 + 1.18352i
\(36\) −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
\(40\) −2.02746 0.943089i −0.320569 0.149115i
\(41\) 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 \(-0.855734\pi\)
−0.899040 + 0.437866i \(0.855734\pi\)
\(44\) −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 \(0.307587\pi\)
−0.568336 + 0.822796i \(0.692413\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 3.81590 + 6.60933i 0.545128 + 0.944190i
\(50\) −1.70122 + 4.70168i −0.240589 + 0.664919i
\(51\) 5.51959i 0.772897i
\(52\) −1.56010 2.70218i −0.216347 0.374724i
\(53\) −2.49973 + 1.44322i −0.343365 + 0.198242i −0.661759 0.749717i \(-0.730190\pi\)
0.318394 + 0.947958i \(0.396856\pi\)
\(54\) −0.866025 + 0.500000i −0.117851 + 0.0680414i
\(55\) 3.39910 + 1.58112i 0.458334 + 0.213198i
\(56\) −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
\(65\) −5.71143 + 4.00723i −0.708416 + 0.497036i
\(66\) 1.67653i 0.206367i
\(67\) −0.933703 0.539074i −0.114070 0.0658583i 0.441879 0.897074i \(-0.354312\pi\)
−0.555949 + 0.831216i \(0.687645\pi\)
\(68\) 5.51959 0.669348
\(69\) 1.05130 + 0.606969i 0.126562 + 0.0730705i
\(70\) −3.60746 + 7.75534i −0.431174 + 0.926940i
\(71\) 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 \(0.268539\pi\)
−0.664747 + 0.747069i \(0.731461\pi\)
\(74\) 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 −0.693584 0.720375i \(-0.743970\pi\)
0.277071 + 0.960849i \(0.410636\pi\)
\(84\) −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 \(0.482071\pi\)
\(90\) −1.83047 + 1.28429i −0.192948 + 0.135376i
\(91\) −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
\(95\) −1.89452 2.70022i −0.194373 0.277037i
\(96\) 0.866025 0.500000i 0.0883883 0.0510310i
\(97\) −16.8340 −1.70923 −0.854617 0.519259i \(-0.826208\pi\)
−0.854617 + 0.519259i \(0.826208\pi\)
\(98\) −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 \(-0.433193\pi\)
0.208342 + 0.978056i \(0.433193\pi\)
\(104\) 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 0.604572 0.796550i \(-0.293344\pi\)
−0.387547 + 0.921850i \(0.626677\pi\)
\(108\) −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 \(0.132905\pi\)
−0.105868 + 0.994380i \(0.533762\pi\)
\(114\) 0.737577 1.27752i 0.0690804 0.119651i
\(115\) 2.46121 + 1.14485i 0.229509 + 0.106758i
\(116\) 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
\(120\) −1.28429 1.83047i −0.117239 0.167098i
\(121\) −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 0.274977 0.961451i \(-0.411330\pi\)
0.970129 + 0.242589i \(0.0779966\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −10.2111 5.89540i −0.899040 0.519061i
\(130\) −6.32608 2.94263i −0.554834 0.258086i
\(131\) 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
\(135\) −0.943089 + 2.02746i −0.0811682 + 0.174496i
\(136\) 2.75979 + 4.78010i 0.236650 + 0.409891i
\(137\) 2.97364i 0.254055i −0.991899 0.127028i \(-0.959456\pi\)
0.991899 0.127028i \(-0.0405437\pi\)
\(138\) 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
\(145\) 2.80116 6.02194i 0.232623 0.500095i
\(146\) −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 \(0.380159\pi\)
\(150\) −3.82415 + 3.22117i −0.312240 + 0.263007i
\(151\) −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
\(155\) 5.33554 11.4704i 0.428561 0.921322i
\(156\) 3.12020i 0.249816i
\(157\) 0.108243 0.0624939i 0.00863870 0.00498755i −0.495674 0.868508i \(-0.665079\pi\)
0.504313 + 0.863521i \(0.331746\pi\)
\(158\) 1.59388i 0.126802i
\(159\) −2.88644 −0.228910
\(160\) 1.83047 1.28429i 0.144711 0.101532i
\(161\) 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 \(-0.937614\pi\)
0.321778 0.946815i \(-0.395720\pi\)
\(164\) 4.89193 + 8.47308i 0.381996 + 0.661636i
\(165\) 2.15315 + 3.06884i 0.167622 + 0.238909i
\(166\) −3.79462 2.19082i −0.294519 0.170041i
\(167\) 10.0346 17.3805i 0.776503 1.34494i −0.157443 0.987528i \(-0.550325\pi\)
0.933946 0.357415i \(-0.116342\pi\)
\(168\) −1.91258 3.31268i −0.147558 0.255579i
\(169\) 1.63217 + 2.82700i 0.125551 + 0.217461i
\(170\) 10.1034 7.08873i 0.774898 0.543680i
\(171\) 1.47515i 0.112808i
\(172\) 5.89540 10.2111i 0.449520 0.778592i
\(173\) −11.9639 + 6.90737i −0.909599 + 0.525157i −0.880302 0.474414i \(-0.842660\pi\)
−0.0292969 + 0.999571i \(0.509327\pi\)
\(174\) 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 \(-0.158918\pi\)
\(180\) −2.02746 0.943089i −0.151118 0.0702937i
\(181\) −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
\(185\) 7.80057 11.1423i 0.573509 0.819199i
\(186\) 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
\(190\) 1.39120 2.99081i 0.100928 0.216976i
\(191\) 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 \(-0.890151\pi\)
−0.941041 + 0.338292i \(0.890151\pi\)
\(194\) −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 0.487492 0.873128i \(-0.337912\pi\)
0.999897 + 0.0143835i \(0.00457858\pi\)
\(198\) −0.838266 + 1.45192i −0.0595730 + 0.103183i
\(199\) 21.4951i 1.52374i 0.647727 + 0.761872i \(0.275720\pi\)
−0.647727 + 0.761872i \(0.724280\pi\)
\(200\) −3.22117 3.82415i −0.227771 0.270408i
\(201\) −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
\(205\) 17.9091 12.5653i 1.25082 0.877597i
\(206\) 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
\(210\) −7.00182 + 4.91259i −0.483171 + 0.339001i
\(211\) 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
\(215\) −23.9053 11.1198i −1.63033 0.758362i
\(216\) 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
\(220\) −3.06884 + 2.15315i −0.206901 + 0.145165i
\(221\) 17.2222 1.15849
\(222\) 5.98944 + 1.06142i 0.401985 + 0.0712382i
\(223\) 4.00109i 0.267933i −0.990986 0.133966i \(-0.957229\pi\)
0.990986 0.133966i \(-0.0427714\pi\)
\(224\) 3.31268 1.91258i 0.221338 0.127789i
\(225\) −1.70122 + 4.70168i −0.113415 + 0.313446i
\(226\) −8.59155 + 14.8810i −0.571501 + 0.989869i
\(227\) 6.44101 11.1562i 0.427505 0.740460i −0.569146 0.822237i \(-0.692726\pi\)
0.996651 + 0.0817765i \(0.0260594\pi\)
\(228\) 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 \(-0.973804\pi\)
0.996615 0.0822052i \(-0.0261963\pi\)
\(234\) −1.56010 2.70218i −0.101987 0.176647i
\(235\) −10.6396 + 22.8730i −0.694049 + 1.49207i
\(236\) 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 \(0.289276\pi\)
\(240\) 0.943089 2.02746i 0.0608761 0.130872i
\(241\) 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
\(250\) −7.88326 + 7.92806i −0.498581 + 0.501415i
\(251\) 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
\(255\) 5.20546 11.1907i 0.325979 0.700791i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −3.17314 5.49604i −0.197935 0.342833i 0.749924 0.661524i \(-0.230090\pi\)
−0.947859 + 0.318691i \(0.896757\pi\)
\(258\) 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 0.528777 0.848761i \(-0.322651\pi\)
−0.470660 + 0.882315i \(0.655984\pi\)
\(264\) −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
\(275\) 5.40039 + 6.41130i 0.325656 + 0.386616i
\(276\) −1.05130 + 0.606969i −0.0632809 + 0.0365353i
\(277\) −9.81717 + 17.0038i −0.589857 + 1.02166i 0.404394 + 0.914585i \(0.367482\pi\)
−0.994251 + 0.107077i \(0.965851\pi\)
\(278\) 5.43980 9.42200i 0.326257 0.565094i
\(279\) 4.89955 2.82876i 0.293329 0.169353i
\(280\) −4.91259 7.00182i −0.293583 0.418439i
\(281\) 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 −0.832144 0.554560i \(-0.812886\pi\)
0.896335 + 0.443377i \(0.146220\pi\)
\(284\) 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 0.406795 0.913520i \(-0.366646\pi\)
−0.587734 + 0.809054i \(0.699980\pi\)
\(294\) −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
\(300\) −4.70168 1.70122i −0.271452 0.0982202i
\(301\) −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
\(305\) −8.23412 11.7359i −0.471484 0.671998i
\(306\) 5.51959 0.315534
\(307\) 11.3779i 0.649371i −0.945822 0.324685i \(-0.894742\pi\)
0.945822 0.324685i \(-0.105258\pi\)
\(308\) −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 0.991489 0.130187i \(-0.0415579\pi\)
−0.608490 + 0.793561i \(0.708225\pi\)
\(314\) 0.108243 + 0.0624939i 0.00610848 + 0.00352673i
\(315\) −3.60746 + 7.75534i −0.203257 + 0.436964i
\(316\) 1.38034 0.796940i 0.0776503 0.0448314i
\(317\) 0.669018 0.386258i 0.0375758 0.0216944i −0.481094 0.876669i \(-0.659761\pi\)
0.518670 + 0.854974i \(0.326427\pi\)
\(318\) −1.44322 2.49973i −0.0809318 0.140178i
\(319\) 4.97962i 0.278805i
\(320\) 2.02746 + 0.943089i 0.113338 + 0.0527203i
\(321\) 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
\(330\) −1.58112 + 3.39910i −0.0870377 + 0.187114i
\(331\) −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
\(335\) −1.38465 1.97351i −0.0756514 0.107825i
\(336\) 1.91258 3.31268i 0.104340 0.180722i
\(337\) 10.2237 + 5.90267i 0.556922 + 0.321539i 0.751909 0.659267i \(-0.229133\pi\)
−0.194987 + 0.980806i \(0.562467\pi\)
\(338\) −1.63217 + 2.82700i −0.0887782 + 0.153768i
\(339\) 17.1831i 0.933257i
\(340\) 11.1907 + 5.20546i 0.606903 + 0.282306i
\(341\) 9.48501i 0.513642i
\(342\) 1.27752 0.737577i 0.0690804 0.0398836i
\(343\) 2.41672i 0.130491i
\(344\) 11.7908 0.635717
\(345\) 1.55904 + 2.22208i 0.0839361 + 0.119632i
\(346\) −11.9639 6.90737i −0.643184 0.371342i
\(347\) −10.5172 −0.564593 −0.282297 0.959327i \(-0.591096\pi\)
−0.282297 + 0.959327i \(0.591096\pi\)
\(348\) 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 \(-0.359661\pi\)
\(350\) −14.6279 + 12.3215i −0.781896 + 0.658610i
\(351\) −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 0.900624 0.434599i \(-0.143110\pi\)
−0.826686 + 0.562664i \(0.809777\pi\)
\(354\) 3.00677 + 5.20788i 0.159808 + 0.276796i
\(355\) 2.95732 2.07491i 0.156958 0.110125i
\(356\) 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
\(365\) −12.0394 + 25.8824i −0.630171 + 1.35474i
\(366\) 3.20572 5.55247i 0.167566 0.290232i
\(367\) −0.553552 0.319593i −0.0288952 0.0166826i 0.485483 0.874246i \(-0.338644\pi\)
−0.514378 + 0.857564i \(0.671977\pi\)
\(368\) −0.606969 1.05130i −0.0316405 0.0548029i
\(369\) 9.78387 0.509328
\(370\) 13.5498 + 1.18433i 0.704421 + 0.0615705i
\(371\) −11.0411 −0.573224
\(372\) 2.82876 + 4.89955i 0.146664 + 0.254030i
\(373\) 8.09384 + 4.67298i 0.419083 + 0.241958i 0.694685 0.719314i \(-0.255544\pi\)
−0.275602 + 0.961272i \(0.588877\pi\)
\(374\) 4.62689 8.01400i 0.239251 0.414394i
\(375\) −2.86308 + 10.8075i −0.147849 + 0.558099i
\(376\) 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 −0.966818 0.255465i \(-0.917771\pi\)
0.704648 + 0.709557i \(0.251105\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) 8.23611 + 11.7388i 0.419751 + 0.598264i
\(386\) −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 \(0.915991\pi\)
\(390\) −4.00723 5.71143i −0.202914 0.289210i
\(391\) −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
\(395\) −2.04700 2.91755i −0.102996 0.146798i
\(396\) −1.67653 −0.0842489
\(397\) 12.4253i 0.623610i −0.950146 0.311805i \(-0.899066\pi\)
0.950146 0.311805i \(-0.100934\pi\)
\(398\) −18.6153 + 10.7475i −0.933099 + 0.538725i
\(399\) 5.64269i 0.282488i
\(400\) 1.70122 4.70168i 0.0850612 0.235084i
\(401\) 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
\(405\) −1.83047 + 1.28429i −0.0909567 + 0.0638166i
\(406\) 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 \(0.423417\pi\)
\(410\) 19.8364 + 9.22706i 0.979649 + 0.455692i
\(411\) 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 \(0.805793\pi\)
\(420\) −7.75534 3.60746i −0.378422 0.176026i
\(421\) 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
\(425\) 9.39005 25.9514i 0.455485 1.25883i
\(426\) 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 \(0.0219128\pi\)
−0.997631 + 0.0687868i \(0.978087\pi\)
\(434\) 21.6409 1.03879
\(435\) 5.43684 3.81457i 0.260677 0.182895i
\(436\) 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 \(0.681421\pi\)
\(440\) −3.39910 1.58112i −0.162046 0.0753769i
\(441\) −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 \(0.151817\pi\)
−0.888400 + 0.459070i \(0.848183\pi\)
\(444\) 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 −0.693031 0.720908i \(-0.743725\pi\)
0.970840 + 0.239729i \(0.0770584\pi\)
\(458\) −15.6318 −0.730426
\(459\) 4.78010 2.75979i 0.223116 0.128816i
\(460\) −2.22208 + 1.55904i −0.103605 + 0.0726908i
\(461\) 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 \(-0.638782\pi\)
0.996165 0.0874916i \(-0.0278851\pi\)
\(464\) −2.57226 + 1.48510i −0.119414 + 0.0689439i
\(465\) 10.3559 7.26586i 0.480243 0.336946i
\(466\) 2.17339 1.25481i 0.100680 0.0581279i
\(467\) 14.7594 0.682984 0.341492 0.939885i \(-0.389068\pi\)
0.341492 + 0.939885i \(0.389068\pi\)
\(468\) 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
\(485\) −34.1302 15.8760i −1.54977 0.720890i
\(486\) −0.866025 0.500000i −0.0392837 0.0226805i
\(487\) −42.1560 −1.91027 −0.955135 0.296171i \(-0.904290\pi\)
−0.955135 + 0.296171i \(0.904290\pi\)
\(488\) 5.55247 + 3.20572i 0.251349 + 0.145116i
\(489\) 16.8291i 0.761037i
\(490\) −13.9698 + 9.80140i −0.631089 + 0.442782i
\(491\) −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 \(0.812192\pi\)
\(500\) −10.8075 2.86308i −0.483328 0.128041i
\(501\) 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 0.573711 0.819058i \(-0.305503\pi\)
−0.996180 + 0.0873197i \(0.972170\pi\)
\(504\) 3.82515i 0.170386i
\(505\) 4.53856 + 2.11115i 0.201963 + 0.0939449i
\(506\) 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
\(515\) 8.57389 + 3.98822i 0.377811 + 0.175742i
\(516\) 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
\(520\) 5.71143 4.00723i 0.250463 0.175729i
\(521\) 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 \(-0.636127\pi\)
0.995401 0.0957956i \(-0.0305395\pi\)
\(524\) 18.2519i 0.797339i
\(525\) −6.50744 + 17.9847i −0.284008 + 0.784915i
\(526\) 1.08830i 0.0474519i
\(527\) −27.0435 + 15.6136i −1.17803 + 0.680138i
\(528\) 1.67653i 0.0729617i
\(529\) −21.5264 −0.935928
\(530\) −3.70701 5.28354i −0.161022 0.229502i
\(531\) 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
\(535\) 3.32915 + 4.74498i 0.143932 + 0.205143i
\(536\) 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
\(540\) −1.28429 1.83047i −0.0552668 0.0787708i
\(541\) 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 \(-0.389186\pi\)
0.341142 + 0.940012i \(0.389186\pi\)
\(548\) 2.57525 + 1.48682i 0.110009 + 0.0635138i
\(549\) 6.41144i 0.273634i
\(550\) −2.85216 + 7.88253i −0.121616 + 0.336112i
\(551\) −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
\(555\) 12.3266 5.74924i 0.523237 0.244042i
\(556\) 10.8796 0.461397
\(557\) 14.2933 + 24.7567i 0.605626 + 1.04898i 0.991952 + 0.126613i \(0.0404106\pi\)
−0.386326 + 0.922362i \(0.626256\pi\)
\(558\) 4.89955 + 2.82876i 0.207415 + 0.119751i
\(559\) 18.3948 31.8608i 0.778019 1.34757i
\(560\) 3.60746 7.75534i 0.152443 0.327723i
\(561\) 9.25377i 0.390695i
\(562\) 10.2198 + 5.90041i 0.431096 + 0.248894i
\(563\) −10.1756 −0.428850 −0.214425 0.976740i \(-0.568788\pi\)
−0.214425 + 0.976740i \(0.568788\pi\)
\(564\) −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 \(0.664565\pi\)
\(570\) 2.70022 1.89452i 0.113100 0.0793526i
\(571\) −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
\(575\) 3.91030 + 4.64228i 0.163071 + 0.193596i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) 17.6741 + 30.6124i 0.735781 + 1.27441i 0.954380 + 0.298596i \(0.0965182\pi\)
−0.218599 + 0.975815i \(0.570149\pi\)
\(578\) −13.4659 −0.560106
\(579\) −22.6437 13.0734i −0.941041 0.543310i
\(580\) 3.81457 + 5.43684i 0.158392 + 0.225753i
\(581\) −16.7605 −0.695341
\(582\) 16.8340i 0.697792i
\(583\) −4.19088 + 2.41961i −0.173569 + 0.100210i
\(584\) 12.7659i 0.528257i
\(585\) −6.32608 2.94263i −0.261551 0.121663i
\(586\) 3.57631i 0.147736i
\(587\) −4.39397 + 7.61058i −0.181359 + 0.314122i −0.942343 0.334647i \(-0.891383\pi\)
0.760985 + 0.648770i \(0.224716\pi\)
\(588\) −6.60933 3.81590i −0.272564 0.157365i
\(589\) −4.17285 + 7.22759i −0.171939 + 0.297808i
\(590\) 7.72311 + 11.0076i 0.317955 + 0.453176i
\(591\) 24.1061 0.991592
\(592\) −5.71772 + 2.07550i −0.234997 + 0.0853025i
\(593\) 25.1637i 1.03335i 0.856182 + 0.516675i \(0.172830\pi\)
−0.856182 + 0.516675i \(0.827170\pi\)
\(594\) −1.45192 + 0.838266i −0.0595730 + 0.0343945i
\(595\) 19.9117 42.8063i 0.816300 1.75489i
\(596\) −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
\(605\) −16.6033 7.72318i −0.675021 0.313992i
\(606\) 2.23855i 0.0909348i
\(607\) 23.1472 + 40.0921i 0.939515 + 1.62729i 0.766377 + 0.642391i \(0.222057\pi\)
0.173138 + 0.984898i \(0.444609\pi\)
\(608\) −1.27752 + 0.737577i −0.0518103 + 0.0299127i
\(609\) 9.83930 5.68072i 0.398708 0.230194i
\(610\) 6.04656 12.9989i 0.244818 0.526311i
\(611\) −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 −0.888692 0.458504i \(-0.848386\pi\)
−0.0472702 + 0.998882i \(0.515052\pi\)
\(614\) 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 −0.593188 0.805064i \(-0.702131\pi\)
0.400612 + 0.916248i \(0.368797\pi\)
\(618\) 4.22889i 0.170111i
\(619\) −22.2474 −0.894200 −0.447100 0.894484i \(-0.647543\pi\)
−0.447100 + 0.894484i \(0.647543\pi\)
\(620\) 7.26586 + 10.3559i 0.291804 + 0.415903i
\(621\) 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
\(625\) −4.24817 + 24.6364i −0.169927 + 0.985457i
\(626\) −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 \(-0.429824\pi\)
0.218683 + 0.975796i \(0.429824\pi\)
\(644\) −4.02139 + 2.32175i −0.158465 + 0.0914898i
\(645\) −15.1427 21.5827i −0.596245 0.849817i
\(646\) −7.05139 + 4.07112i −0.277433 + 0.160176i
\(647\) −10.1375 + 17.5587i −0.398547 + 0.690304i −0.993547 0.113422i \(-0.963819\pi\)
0.595000 + 0.803726i \(0.297152\pi\)
\(648\) 0.500000 0.866025i 0.0196419 0.0340207i
\(649\) 8.73118 5.04095i 0.342729 0.197875i
\(650\) −10.0507 11.9321i −0.394221 0.468016i
\(651\) 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 \(-0.608187\pi\)
0.983171 0.182686i \(-0.0584793\pi\)
\(654\) 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
\(670\) 1.01679 2.18590i 0.0392820 0.0844486i
\(671\) −9.30890 5.37450i −0.359366 0.207480i
\(672\) 3.82515 0.147558
\(673\) −21.5251 12.4275i −0.829730 0.479045i 0.0240303 0.999711i \(-0.492350\pi\)
−0.853760 + 0.520666i \(0.825684\pi\)
\(674\) 11.8053i 0.454725i
\(675\) −3.82415 + 3.22117i −0.147191 + 0.123983i
\(676\) −3.26433 −0.125551
\(677\) 31.6990i 1.21829i 0.793059 + 0.609145i \(0.208487\pi\)
−0.793059 + 0.609145i \(0.791513\pi\)
\(678\) −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 \(0.187695\pi\)
0.0660151 + 0.997819i \(0.478971\pi\)
\(684\) 1.27752 + 0.737577i 0.0488472 + 0.0282019i
\(685\) 2.80441 6.02893i 0.107151 0.230354i
\(686\) −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
\(690\) −1.14485 + 2.46121i −0.0435838 + 0.0936966i
\(691\) 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
\(700\) −17.9847 6.50744i −0.679756 0.245958i
\(701\) 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
\(705\) −20.6506 + 14.4888i −0.777748 + 0.545680i
\(706\) −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 \(-0.0712083\pi\)
\(710\) 3.27558 + 1.52366i 0.122930 + 0.0571821i
\(711\) 1.59388i 0.0597752i
\(712\) 7.36049 4.24958i 0.275846 0.159260i
\(713\) 6.86788i 0.257204i
\(714\) 21.1133 0.790144
\(715\) −9.57540 + 6.71825i −0.358100 + 0.251248i
\(716\) 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 \(0.746437\pi\)
\(720\) 1.83047 1.28429i 0.0682175 0.0478625i
\(721\) 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
\(725\) 11.3584 9.56749i 0.421842 0.355327i
\(726\) 8.18924i 0.303931i
\(727\) −15.6966 + 27.1874i −0.582156 + 1.00832i 0.413068 + 0.910700i \(0.364457\pi\)
−0.995223 + 0.0976231i \(0.968876\pi\)
\(728\) 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 0.150624 0.988591i \(-0.451872\pi\)
−0.780833 + 0.624739i \(0.785205\pi\)
\(734\) 0.639187i 0.0235928i
\(735\) −7.19746 + 15.4731i −0.265482 + 0.570735i
\(736\) 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 \(0.375010\pi\)
\(740\) 5.74924 + 12.3266i 0.211346 + 0.453137i
\(741\) 4.60278 0.169087
\(742\) −5.52054 9.56186i −0.202665 0.351027i
\(743\) −32.1117 18.5397i −1.17807 0.680156i −0.222499 0.974933i \(-0.571421\pi\)
−0.955566 + 0.294776i \(0.904755\pi\)
\(744\) −2.82876 + 4.89955i −0.103707 + 0.179626i
\(745\) 18.1979 + 8.46493i 0.666721 + 0.310131i
\(746\) 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
\(755\) −21.5147 + 15.0951i −0.783000 + 0.549365i
\(756\) −1.91258 3.31268i −0.0695597 0.120481i
\(757\) 7.05341 + 12.2169i 0.256361 + 0.444030i 0.965264 0.261276i \(-0.0841432\pi\)
−0.708904 + 0.705305i \(0.750810\pi\)
\(758\) −14.4675 + 25.0584i −0.525482 + 0.910161i
\(759\) 1.76254 + 1.01760i 0.0639762 + 0.0369367i
\(760\) 1.89452 + 2.70022i 0.0687214 + 0.0979473i
\(761\) 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
\(765\) 10.1034 7.08873i 0.365290 0.256293i
\(766\) −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 \(0.874277\pi\)
\(770\) −6.04802 + 13.0021i −0.217956 + 0.468562i
\(771\) 6.34628i 0.228556i
\(772\) 13.0734 22.6437i 0.470521 0.814966i
\(773\) −39.3866 22.7399i −1.41664 0.817896i −0.420636 0.907229i \(-0.638193\pi\)
−0.996002 + 0.0893331i \(0.971526\pi\)
\(774\) 5.89540 10.2111i 0.211906 0.367032i
\(775\) 21.6352 18.2238i 0.777158 0.654618i
\(776\) 16.8340 0.604306
\(777\) 21.8711