Properties

Label 690.2.q.a.191.2
Level $690$
Weight $2$
Character 690.191
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 191.2
Character \(\chi\) \(=\) 690.191
Dual form 690.2.q.a.401.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.755750 - 0.654861i) q^{2} +(-1.23307 - 1.21636i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.135347 + 1.72675i) q^{6} +(0.0399458 + 0.136043i) q^{7} +(0.540641 - 0.841254i) q^{8} +(0.0409354 + 2.99972i) q^{9} +O(q^{10})\) \(q+(-0.755750 - 0.654861i) q^{2} +(-1.23307 - 1.21636i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.135347 + 1.72675i) q^{6} +(0.0399458 + 0.136043i) q^{7} +(0.540641 - 0.841254i) q^{8} +(0.0409354 + 2.99972i) q^{9} +(0.281733 - 0.959493i) q^{10} +(-2.41826 - 2.79082i) q^{11} +(1.02849 - 1.39363i) q^{12} +(2.41066 + 0.707833i) q^{13} +(0.0589002 - 0.128973i) q^{14} +(0.594203 - 1.62694i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.338271 - 2.35273i) q^{17} +(1.93346 - 2.29384i) q^{18} +(-6.49504 + 0.933846i) q^{19} +(-0.841254 + 0.540641i) q^{20} +(0.116221 - 0.216339i) q^{21} +3.69278i q^{22} +(-2.28044 - 4.21895i) q^{23} +(-1.68992 + 0.379713i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(-1.35832 - 2.11359i) q^{26} +(3.59826 - 3.74867i) q^{27} +(-0.128973 + 0.0589002i) q^{28} +(-3.82536 - 0.550004i) q^{29} +(-1.51449 + 0.840436i) q^{30} +(-4.87810 - 3.13496i) q^{31} +(0.909632 + 0.415415i) q^{32} +(-0.412754 + 6.38276i) q^{33} +(-1.79636 + 1.55655i) q^{34} +(-0.107155 + 0.0928503i) q^{35} +(-2.96336 + 0.467423i) q^{36} +(0.564876 + 0.257970i) q^{37} +(5.52017 + 3.54760i) q^{38} +(-2.11154 - 3.80504i) q^{39} +(0.989821 + 0.142315i) q^{40} +(-5.49265 + 2.50841i) q^{41} +(-0.229506 + 0.0873897i) q^{42} +(0.0168318 + 0.0261909i) q^{43} +(2.41826 - 2.79082i) q^{44} +(-2.71164 + 1.28337i) q^{45} +(-1.03938 + 4.68185i) q^{46} +6.32537i q^{47} +(1.52581 + 0.819692i) q^{48} +(5.87186 - 3.77362i) q^{49} +(0.989821 - 0.142315i) q^{50} +(-3.27888 + 2.48963i) q^{51} +(-0.357556 + 2.48686i) q^{52} +(-8.44483 + 2.47963i) q^{53} +(-5.17424 + 0.476690i) q^{54} +(1.53404 - 3.35907i) q^{55} +(0.136043 + 0.0399458i) q^{56} +(9.14475 + 6.74881i) q^{57} +(2.53084 + 2.92074i) q^{58} +(-3.12347 + 10.6376i) q^{59} +(1.69494 + 0.356618i) q^{60} +(-3.28734 + 5.11521i) q^{61} +(1.63366 + 5.56372i) q^{62} +(-0.406456 + 0.125395i) q^{63} +(-0.415415 - 0.909632i) q^{64} +(0.357556 + 2.48686i) q^{65} +(4.49175 - 4.55347i) q^{66} +(-3.90499 - 3.38369i) q^{67} +2.37692 q^{68} +(-2.31982 + 7.97612i) q^{69} +0.141786 q^{70} +(-11.2888 - 9.78184i) q^{71} +(2.54566 + 1.58733i) q^{72} +(-1.26091 - 8.76982i) q^{73} +(-0.257970 - 0.564876i) q^{74} +(1.72675 - 0.135347i) q^{75} +(-1.84868 - 6.29603i) q^{76} +(0.283072 - 0.440469i) q^{77} +(-0.895978 + 4.25842i) q^{78} +(-4.50080 + 15.3283i) q^{79} +(-0.654861 - 0.755750i) q^{80} +(-8.99665 + 0.245589i) q^{81} +(5.79373 + 1.70119i) q^{82} +(0.284540 - 0.623056i) q^{83} +(0.230677 + 0.0842500i) q^{84} +(2.28064 - 0.669656i) q^{85} +(0.00443071 - 0.0308163i) q^{86} +(4.04794 + 5.33121i) q^{87} +(-3.65520 + 0.525538i) q^{88} +(5.96178 - 3.83140i) q^{89} +(2.88974 + 0.805842i) q^{90} +0.356228i q^{91} +(3.85147 - 2.85765i) q^{92} +(2.20180 + 9.79916i) q^{93} +(4.14224 - 4.78040i) q^{94} +(-3.54760 - 5.52017i) q^{95} +(-0.616348 - 1.61868i) q^{96} +(10.3676 - 4.73474i) q^{97} +(-6.90885 - 0.993343i) q^{98} +(8.27269 - 7.36834i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.755750 0.654861i −0.534396 0.463056i
\(3\) −1.23307 1.21636i −0.711915 0.702266i
\(4\) 0.142315 + 0.989821i 0.0711574 + 0.494911i
\(5\) 0.415415 + 0.909632i 0.185779 + 0.406800i
\(6\) 0.135347 + 1.72675i 0.0552553 + 0.704945i
\(7\) 0.0399458 + 0.136043i 0.0150981 + 0.0514194i 0.966698 0.255922i \(-0.0823789\pi\)
−0.951599 + 0.307341i \(0.900561\pi\)
\(8\) 0.540641 0.841254i 0.191145 0.297428i
\(9\) 0.0409354 + 2.99972i 0.0136451 + 0.999907i
\(10\) 0.281733 0.959493i 0.0890917 0.303418i
\(11\) −2.41826 2.79082i −0.729132 0.841464i 0.263241 0.964730i \(-0.415208\pi\)
−0.992374 + 0.123266i \(0.960663\pi\)
\(12\) 1.02849 1.39363i 0.296901 0.402306i
\(13\) 2.41066 + 0.707833i 0.668597 + 0.196318i 0.598378 0.801214i \(-0.295812\pi\)
0.0702186 + 0.997532i \(0.477630\pi\)
\(14\) 0.0589002 0.128973i 0.0157417 0.0344696i
\(15\) 0.594203 1.62694i 0.153423 0.420073i
\(16\) −0.959493 + 0.281733i −0.239873 + 0.0704331i
\(17\) 0.338271 2.35273i 0.0820428 0.570621i −0.906789 0.421585i \(-0.861474\pi\)
0.988832 0.149036i \(-0.0476169\pi\)
\(18\) 1.93346 2.29384i 0.455721 0.540664i
\(19\) −6.49504 + 0.933846i −1.49007 + 0.214239i −0.838729 0.544550i \(-0.816701\pi\)
−0.651337 + 0.758789i \(0.725791\pi\)
\(20\) −0.841254 + 0.540641i −0.188110 + 0.120891i
\(21\) 0.116221 0.216339i 0.0253616 0.0472091i
\(22\) 3.69278i 0.787304i
\(23\) −2.28044 4.21895i −0.475505 0.879713i
\(24\) −1.68992 + 0.379713i −0.344953 + 0.0775085i
\(25\) −0.654861 + 0.755750i −0.130972 + 0.151150i
\(26\) −1.35832 2.11359i −0.266389 0.414509i
\(27\) 3.59826 3.74867i 0.692486 0.721431i
\(28\) −0.128973 + 0.0589002i −0.0243737 + 0.0111311i
\(29\) −3.82536 0.550004i −0.710351 0.102133i −0.222339 0.974970i \(-0.571369\pi\)
−0.488013 + 0.872836i \(0.662278\pi\)
\(30\) −1.51449 + 0.840436i −0.276506 + 0.153442i
\(31\) −4.87810 3.13496i −0.876133 0.563056i 0.0234902 0.999724i \(-0.492522\pi\)
−0.899623 + 0.436668i \(0.856159\pi\)
\(32\) 0.909632 + 0.415415i 0.160802 + 0.0734357i
\(33\) −0.412754 + 6.38276i −0.0718512 + 1.11110i
\(34\) −1.79636 + 1.55655i −0.308073 + 0.266947i
\(35\) −0.107155 + 0.0928503i −0.0181125 + 0.0156946i
\(36\) −2.96336 + 0.467423i −0.493894 + 0.0779039i
\(37\) 0.564876 + 0.257970i 0.0928650 + 0.0424100i 0.461306 0.887241i \(-0.347381\pi\)
−0.368441 + 0.929651i \(0.620108\pi\)
\(38\) 5.52017 + 3.54760i 0.895489 + 0.575496i
\(39\) −2.11154 3.80504i −0.338117 0.609294i
\(40\) 0.989821 + 0.142315i 0.156505 + 0.0225020i
\(41\) −5.49265 + 2.50841i −0.857808 + 0.391748i −0.795241 0.606293i \(-0.792656\pi\)
−0.0625665 + 0.998041i \(0.519929\pi\)
\(42\) −0.229506 + 0.0873897i −0.0354136 + 0.0134845i
\(43\) 0.0168318 + 0.0261909i 0.00256683 + 0.00399407i 0.842535 0.538642i \(-0.181063\pi\)
−0.839968 + 0.542636i \(0.817426\pi\)
\(44\) 2.41826 2.79082i 0.364566 0.420732i
\(45\) −2.71164 + 1.28337i −0.404227 + 0.191313i
\(46\) −1.03938 + 4.68185i −0.153249 + 0.690301i
\(47\) 6.32537i 0.922650i 0.887231 + 0.461325i \(0.152626\pi\)
−0.887231 + 0.461325i \(0.847374\pi\)
\(48\) 1.52581 + 0.819692i 0.220232 + 0.118312i
\(49\) 5.87186 3.77362i 0.838838 0.539088i
\(50\) 0.989821 0.142315i 0.139982 0.0201264i
\(51\) −3.27888 + 2.48963i −0.459135 + 0.348617i
\(52\) −0.357556 + 2.48686i −0.0495841 + 0.344865i
\(53\) −8.44483 + 2.47963i −1.15999 + 0.340603i −0.804427 0.594051i \(-0.797528\pi\)
−0.355559 + 0.934654i \(0.615710\pi\)
\(54\) −5.17424 + 0.476690i −0.704125 + 0.0648693i
\(55\) 1.53404 3.35907i 0.206850 0.452937i
\(56\) 0.136043 + 0.0399458i 0.0181795 + 0.00533799i
\(57\) 9.14475 + 6.74881i 1.21125 + 0.893902i
\(58\) 2.53084 + 2.92074i 0.332315 + 0.383512i
\(59\) −3.12347 + 10.6376i −0.406641 + 1.38489i 0.460866 + 0.887470i \(0.347539\pi\)
−0.867508 + 0.497424i \(0.834279\pi\)
\(60\) 1.69494 + 0.356618i 0.218816 + 0.0460392i
\(61\) −3.28734 + 5.11521i −0.420901 + 0.654935i −0.985352 0.170531i \(-0.945452\pi\)
0.564451 + 0.825467i \(0.309088\pi\)
\(62\) 1.63366 + 5.56372i 0.207475 + 0.706594i
\(63\) −0.406456 + 0.125395i −0.0512086 + 0.0157983i
\(64\) −0.415415 0.909632i −0.0519269 0.113704i
\(65\) 0.357556 + 2.48686i 0.0443494 + 0.308457i
\(66\) 4.49175 4.55347i 0.552897 0.560493i
\(67\) −3.90499 3.38369i −0.477070 0.413384i 0.382851 0.923810i \(-0.374942\pi\)
−0.859922 + 0.510426i \(0.829488\pi\)
\(68\) 2.37692 0.288244
\(69\) −2.31982 + 7.97612i −0.279273 + 0.960212i
\(70\) 0.141786 0.0169467
\(71\) −11.2888 9.78184i −1.33974 1.16089i −0.973062 0.230542i \(-0.925950\pi\)
−0.366677 0.930348i \(-0.619504\pi\)
\(72\) 2.54566 + 1.58733i 0.300009 + 0.187069i
\(73\) −1.26091 8.76982i −0.147578 1.02643i −0.920168 0.391524i \(-0.871948\pi\)
0.772589 0.634906i \(-0.218961\pi\)
\(74\) −0.257970 0.564876i −0.0299884 0.0656655i
\(75\) 1.72675 0.135347i 0.199388 0.0156286i
\(76\) −1.84868 6.29603i −0.212058 0.722205i
\(77\) 0.283072 0.440469i 0.0322591 0.0501961i
\(78\) −0.895978 + 4.25842i −0.101450 + 0.482171i
\(79\) −4.50080 + 15.3283i −0.506380 + 1.72457i 0.167630 + 0.985850i \(0.446389\pi\)
−0.674010 + 0.738722i \(0.735430\pi\)
\(80\) −0.654861 0.755750i −0.0732157 0.0844954i
\(81\) −8.99665 + 0.245589i −0.999628 + 0.0272877i
\(82\) 5.79373 + 1.70119i 0.639810 + 0.187865i
\(83\) 0.284540 0.623056i 0.0312323 0.0683892i −0.893373 0.449316i \(-0.851668\pi\)
0.924605 + 0.380927i \(0.124395\pi\)
\(84\) 0.230677 + 0.0842500i 0.0251690 + 0.00919242i
\(85\) 2.28064 0.669656i 0.247370 0.0726344i
\(86\) 0.00443071 0.0308163i 0.000477776 0.00332300i
\(87\) 4.04794 + 5.33121i 0.433985 + 0.571566i
\(88\) −3.65520 + 0.525538i −0.389645 + 0.0560225i
\(89\) 5.96178 3.83140i 0.631947 0.406128i −0.185083 0.982723i \(-0.559255\pi\)
0.817030 + 0.576595i \(0.195619\pi\)
\(90\) 2.88974 + 0.805842i 0.304606 + 0.0849432i
\(91\) 0.356228i 0.0373429i
\(92\) 3.85147 2.85765i 0.401544 0.297931i
\(93\) 2.20180 + 9.79916i 0.228316 + 1.01613i
\(94\) 4.14224 4.78040i 0.427239 0.493060i
\(95\) −3.54760 5.52017i −0.363976 0.566357i
\(96\) −0.616348 1.61868i −0.0629057 0.165206i
\(97\) 10.3676 4.73474i 1.05267 0.480740i 0.187528 0.982259i \(-0.439952\pi\)
0.865147 + 0.501519i \(0.167225\pi\)
\(98\) −6.90885 0.993343i −0.697899 0.100343i
\(99\) 8.27269 7.36834i 0.831436 0.740546i
\(100\) −0.841254 0.540641i −0.0841254 0.0540641i
\(101\) −10.7083 4.89031i −1.06551 0.486604i −0.196047 0.980594i \(-0.562811\pi\)
−0.869467 + 0.493990i \(0.835538\pi\)
\(102\) 4.10837 + 0.265676i 0.406789 + 0.0263058i
\(103\) 6.94726 6.01983i 0.684533 0.593152i −0.241587 0.970379i \(-0.577668\pi\)
0.926121 + 0.377228i \(0.123123\pi\)
\(104\) 1.89877 1.64529i 0.186190 0.161334i
\(105\) 0.245069 + 0.0158479i 0.0239163 + 0.00154660i
\(106\) 8.00599 + 3.65621i 0.777610 + 0.355123i
\(107\) 0.171173 + 0.110006i 0.0165479 + 0.0106347i 0.548889 0.835895i \(-0.315051\pi\)
−0.532341 + 0.846530i \(0.678687\pi\)
\(108\) 4.22260 + 3.02815i 0.406319 + 0.291384i
\(109\) 6.06894 + 0.872582i 0.581299 + 0.0835782i 0.426691 0.904398i \(-0.359679\pi\)
0.154609 + 0.987976i \(0.450588\pi\)
\(110\) −3.35907 + 1.53404i −0.320275 + 0.146265i
\(111\) −0.382748 1.00519i −0.0363289 0.0954083i
\(112\) −0.0766555 0.119278i −0.00724327 0.0112707i
\(113\) −0.964427 + 1.11301i −0.0907256 + 0.104703i −0.799297 0.600936i \(-0.794795\pi\)
0.708571 + 0.705639i \(0.249340\pi\)
\(114\) −2.49161 11.0890i −0.233361 1.03858i
\(115\) 2.89037 3.82698i 0.269528 0.356868i
\(116\) 3.86470i 0.358828i
\(117\) −2.02462 + 7.26028i −0.187176 + 0.671213i
\(118\) 9.32669 5.99390i 0.858591 0.551783i
\(119\) 0.333585 0.0479623i 0.0305797 0.00439669i
\(120\) −1.04742 1.37946i −0.0956155 0.125927i
\(121\) −0.375234 + 2.60981i −0.0341122 + 0.237255i
\(122\) 5.83416 1.71306i 0.528200 0.155093i
\(123\) 9.82396 + 3.58799i 0.885797 + 0.323518i
\(124\) 2.40883 5.27460i 0.216319 0.473673i
\(125\) −0.959493 0.281733i −0.0858197 0.0251989i
\(126\) 0.389295 + 0.171405i 0.0346812 + 0.0152699i
\(127\) −14.4873 16.7193i −1.28554 1.48359i −0.787321 0.616543i \(-0.788533\pi\)
−0.498220 0.867051i \(-0.666013\pi\)
\(128\) −0.281733 + 0.959493i −0.0249019 + 0.0848080i
\(129\) 0.0111026 0.0527688i 0.000977533 0.00464604i
\(130\) 1.35832 2.11359i 0.119133 0.185374i
\(131\) −5.28112 17.9859i −0.461414 1.57143i −0.781413 0.624014i \(-0.785501\pi\)
0.319999 0.947418i \(-0.396317\pi\)
\(132\) −6.37653 + 0.499809i −0.555006 + 0.0435028i
\(133\) −0.386493 0.846302i −0.0335132 0.0733837i
\(134\) 0.735347 + 5.11445i 0.0635243 + 0.441821i
\(135\) 4.90468 + 1.71584i 0.422128 + 0.147676i
\(136\) −1.79636 1.55655i −0.154036 0.133473i
\(137\) −4.00237 −0.341946 −0.170973 0.985276i \(-0.554691\pi\)
−0.170973 + 0.985276i \(0.554691\pi\)
\(138\) 6.97645 4.50879i 0.593875 0.383814i
\(139\) 7.87451 0.667908 0.333954 0.942589i \(-0.391617\pi\)
0.333954 + 0.942589i \(0.391617\pi\)
\(140\) −0.107155 0.0928503i −0.00905625 0.00784729i
\(141\) 7.69393 7.79964i 0.647946 0.656848i
\(142\) 2.12580 + 14.7852i 0.178393 + 1.24075i
\(143\) −3.85416 8.43944i −0.322301 0.705741i
\(144\) −0.884396 2.86668i −0.0736997 0.238890i
\(145\) −1.08881 3.70815i −0.0904208 0.307945i
\(146\) −4.79008 + 7.45351i −0.396430 + 0.616857i
\(147\) −11.8305 2.48916i −0.975764 0.205302i
\(148\) −0.174954 + 0.595839i −0.0143811 + 0.0489777i
\(149\) 7.39422 + 8.53338i 0.605758 + 0.699082i 0.972938 0.231068i \(-0.0742220\pi\)
−0.367180 + 0.930150i \(0.619677\pi\)
\(150\) −1.39363 1.02849i −0.113789 0.0839763i
\(151\) 16.7304 + 4.91248i 1.36150 + 0.399772i 0.879291 0.476284i \(-0.158017\pi\)
0.482208 + 0.876057i \(0.339835\pi\)
\(152\) −2.72588 + 5.96885i −0.221098 + 0.484138i
\(153\) 7.07138 + 0.918410i 0.571687 + 0.0742490i
\(154\) −0.502378 + 0.147511i −0.0404827 + 0.0118868i
\(155\) 0.825228 5.73959i 0.0662839 0.461015i
\(156\) 3.46581 2.63156i 0.277487 0.210693i
\(157\) −18.1398 + 2.60810i −1.44771 + 0.208149i −0.820922 0.571040i \(-0.806540\pi\)
−0.626789 + 0.779189i \(0.715631\pi\)
\(158\) 13.4394 8.63698i 1.06918 0.687121i
\(159\) 13.4292 + 7.21440i 1.06501 + 0.572139i
\(160\) 1.00000i 0.0790569i
\(161\) 0.482865 0.478768i 0.0380551 0.0377322i
\(162\) 6.96004 + 5.70595i 0.546832 + 0.448302i
\(163\) 3.42509 3.95277i 0.268274 0.309605i −0.605588 0.795778i \(-0.707062\pi\)
0.873862 + 0.486173i \(0.161608\pi\)
\(164\) −3.26456 5.07976i −0.254920 0.396663i
\(165\) −5.97742 + 2.27604i −0.465342 + 0.177189i
\(166\) −0.623056 + 0.284540i −0.0483585 + 0.0220846i
\(167\) 17.4627 + 2.51076i 1.35131 + 0.194289i 0.779656 0.626208i \(-0.215394\pi\)
0.571651 + 0.820497i \(0.306303\pi\)
\(168\) −0.119162 0.214733i −0.00919358 0.0165670i
\(169\) −5.62605 3.61564i −0.432773 0.278126i
\(170\) −2.16212 0.987409i −0.165827 0.0757308i
\(171\) −3.06716 19.4451i −0.234551 1.48700i
\(172\) −0.0235289 + 0.0203879i −0.00179406 + 0.00155456i
\(173\) −6.66705 + 5.77703i −0.506886 + 0.439219i −0.870382 0.492376i \(-0.836128\pi\)
0.363496 + 0.931596i \(0.381583\pi\)
\(174\) 0.431969 6.67990i 0.0327475 0.506402i
\(175\) −0.128973 0.0589002i −0.00974948 0.00445244i
\(176\) 3.10657 + 1.99647i 0.234166 + 0.150490i
\(177\) 16.7906 9.31762i 1.26206 0.700356i
\(178\) −7.01465 1.00855i −0.525770 0.0755943i
\(179\) 10.1456 4.63335i 0.758320 0.346313i 0.00155360 0.999999i \(-0.499505\pi\)
0.756766 + 0.653686i \(0.226778\pi\)
\(180\) −1.65621 2.50139i −0.123446 0.186443i
\(181\) −3.61357 5.62282i −0.268594 0.417941i 0.680589 0.732666i \(-0.261724\pi\)
−0.949183 + 0.314725i \(0.898088\pi\)
\(182\) 0.233280 0.269220i 0.0172919 0.0199559i
\(183\) 10.2755 2.30883i 0.759585 0.170673i
\(184\) −4.78211 0.362508i −0.352542 0.0267244i
\(185\) 0.620994i 0.0456564i
\(186\) 4.75308 8.84759i 0.348512 0.648737i
\(187\) −7.38407 + 4.74545i −0.539977 + 0.347022i
\(188\) −6.26099 + 0.900194i −0.456630 + 0.0656534i
\(189\) 0.653716 + 0.339775i 0.0475508 + 0.0247150i
\(190\) −0.933846 + 6.49504i −0.0677483 + 0.471200i
\(191\) 3.90367 1.14622i 0.282459 0.0829375i −0.137434 0.990511i \(-0.543886\pi\)
0.419894 + 0.907573i \(0.362067\pi\)
\(192\) −0.594203 + 1.62694i −0.0428829 + 0.117414i
\(193\) 6.50795 14.2504i 0.468453 1.02577i −0.517026 0.855970i \(-0.672961\pi\)
0.985479 0.169799i \(-0.0543118\pi\)
\(194\) −10.9359 3.21108i −0.785155 0.230542i
\(195\) 2.58402 3.50139i 0.185046 0.250740i
\(196\) 4.57086 + 5.27505i 0.326490 + 0.376790i
\(197\) −4.86308 + 16.5621i −0.346480 + 1.18000i 0.583414 + 0.812175i \(0.301716\pi\)
−0.929894 + 0.367827i \(0.880102\pi\)
\(198\) −11.0773 + 0.151165i −0.787231 + 0.0107429i
\(199\) 2.59104 4.03174i 0.183674 0.285803i −0.737190 0.675685i \(-0.763848\pi\)
0.920865 + 0.389882i \(0.127484\pi\)
\(200\) 0.281733 + 0.959493i 0.0199215 + 0.0678464i
\(201\) 0.699346 + 8.92221i 0.0493280 + 0.629324i
\(202\) 4.89031 + 10.7083i 0.344081 + 0.753433i
\(203\) −0.0779830 0.542384i −0.00547334 0.0380679i
\(204\) −2.93092 2.89119i −0.205205 0.202424i
\(205\) −4.56346 3.95426i −0.318726 0.276177i
\(206\) −9.19254 −0.640474
\(207\) 12.5623 7.01340i 0.873143 0.487465i
\(208\) −2.51243 −0.174206
\(209\) 18.3129 + 15.8682i 1.26673 + 1.09763i
\(210\) −0.174833 0.172463i −0.0120646 0.0119011i
\(211\) 0.449943 + 3.12942i 0.0309753 + 0.215438i 0.999430 0.0337504i \(-0.0107451\pi\)
−0.968455 + 0.249189i \(0.919836\pi\)
\(212\) −3.65621 8.00599i −0.251110 0.549853i
\(213\) 2.02172 + 25.7930i 0.138526 + 1.76731i
\(214\) −0.0573253 0.195232i −0.00391867 0.0133458i
\(215\) −0.0168318 + 0.0261909i −0.00114792 + 0.00178620i
\(216\) −1.20821 5.05373i −0.0822082 0.343863i
\(217\) 0.231630 0.788860i 0.0157241 0.0535513i
\(218\) −4.01518 4.63377i −0.271942 0.313838i
\(219\) −9.11247 + 12.3475i −0.615764 + 0.834370i
\(220\) 3.54320 + 1.04038i 0.238882 + 0.0701422i
\(221\) 2.48080 5.43219i 0.166876 0.365408i
\(222\) −0.368997 + 1.01032i −0.0247654 + 0.0678081i
\(223\) 2.41441 0.708936i 0.161681 0.0474738i −0.199890 0.979818i \(-0.564059\pi\)
0.361571 + 0.932344i \(0.382240\pi\)
\(224\) −0.0201783 + 0.140343i −0.00134822 + 0.00937708i
\(225\) −2.29384 1.93346i −0.152923 0.128897i
\(226\) 1.45773 0.209590i 0.0969668 0.0139417i
\(227\) 10.4223 6.69800i 0.691752 0.444562i −0.146957 0.989143i \(-0.546948\pi\)
0.838708 + 0.544581i \(0.183311\pi\)
\(228\) −5.37869 + 10.0121i −0.356212 + 0.663069i
\(229\) 7.76551i 0.513159i 0.966523 + 0.256580i \(0.0825956\pi\)
−0.966523 + 0.256580i \(0.917404\pi\)
\(230\) −4.69053 + 0.999453i −0.309285 + 0.0659020i
\(231\) −0.884817 + 0.198812i −0.0582167 + 0.0130809i
\(232\) −2.53084 + 2.92074i −0.166158 + 0.191756i
\(233\) 5.54285 + 8.62484i 0.363124 + 0.565032i 0.973959 0.226726i \(-0.0728022\pi\)
−0.610834 + 0.791758i \(0.709166\pi\)
\(234\) 6.28458 4.16111i 0.410836 0.272020i
\(235\) −5.75376 + 2.62765i −0.375334 + 0.171409i
\(236\) −10.9738 1.57780i −0.714334 0.102706i
\(237\) 24.1946 13.4263i 1.57161 0.872135i
\(238\) −0.283515 0.182204i −0.0183776 0.0118105i
\(239\) 8.41908 + 3.84487i 0.544585 + 0.248704i 0.668659 0.743569i \(-0.266869\pi\)
−0.124074 + 0.992273i \(0.539596\pi\)
\(240\) −0.111773 + 1.72844i −0.00721492 + 0.111570i
\(241\) −3.65993 + 3.17135i −0.235757 + 0.204285i −0.764724 0.644358i \(-0.777125\pi\)
0.528967 + 0.848642i \(0.322579\pi\)
\(242\) 1.99265 1.72664i 0.128092 0.110992i
\(243\) 11.3922 + 10.6403i 0.730813 + 0.682578i
\(244\) −5.53098 2.52591i −0.354085 0.161705i
\(245\) 5.87186 + 3.77362i 0.375140 + 0.241088i
\(246\) −5.07482 9.14495i −0.323559 0.583061i
\(247\) −16.3183 2.34622i −1.03831 0.149287i
\(248\) −5.27460 + 2.40883i −0.334937 + 0.152961i
\(249\) −1.10872 + 0.422170i −0.0702622 + 0.0267539i
\(250\) 0.540641 + 0.841254i 0.0341931 + 0.0532055i
\(251\) −19.1887 + 22.1449i −1.21118 + 1.39778i −0.317991 + 0.948094i \(0.603008\pi\)
−0.893189 + 0.449682i \(0.851537\pi\)
\(252\) −0.181964 0.384473i −0.0114626 0.0242195i
\(253\) −6.25964 + 16.5668i −0.393540 + 1.04155i
\(254\) 22.1227i 1.38810i
\(255\) −3.62674 1.94835i −0.227115 0.122010i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −0.243446 + 0.0350022i −0.0151857 + 0.00218338i −0.149904 0.988701i \(-0.547896\pi\)
0.134718 + 0.990884i \(0.456987\pi\)
\(258\) −0.0429471 + 0.0326093i −0.00267377 + 0.00203017i
\(259\) −0.0125306 + 0.0871523i −0.000778614 + 0.00541538i
\(260\) −2.41066 + 0.707833i −0.149503 + 0.0438980i
\(261\) 1.49326 11.4975i 0.0924308 0.711679i
\(262\) −7.78702 + 17.0512i −0.481084 + 1.05343i
\(263\) −17.8213 5.23280i −1.09891 0.322668i −0.318489 0.947927i \(-0.603175\pi\)
−0.780418 + 0.625259i \(0.784993\pi\)
\(264\) 5.14636 + 3.79801i 0.316737 + 0.233751i
\(265\) −5.76366 6.65161i −0.354059 0.408605i
\(266\) −0.262118 + 0.892692i −0.0160715 + 0.0547345i
\(267\) −12.0117 2.52727i −0.735102 0.154667i
\(268\) 2.79351 4.34679i 0.170641 0.265523i
\(269\) −0.643168 2.19043i −0.0392146 0.133553i 0.937559 0.347826i \(-0.113080\pi\)
−0.976774 + 0.214273i \(0.931262\pi\)
\(270\) −2.58307 4.50863i −0.157201 0.274387i
\(271\) 0.447630 + 0.980173i 0.0271916 + 0.0595413i 0.922740 0.385422i \(-0.125944\pi\)
−0.895549 + 0.444963i \(0.853217\pi\)
\(272\) 0.338271 + 2.35273i 0.0205107 + 0.142655i
\(273\) 0.433302 0.439256i 0.0262246 0.0265850i
\(274\) 3.02479 + 2.62100i 0.182734 + 0.158340i
\(275\) 3.69278 0.222683
\(276\) −8.22508 1.16108i −0.495091 0.0698890i
\(277\) 16.7974 1.00926 0.504630 0.863335i \(-0.331629\pi\)
0.504630 + 0.863335i \(0.331629\pi\)
\(278\) −5.95116 5.15671i −0.356927 0.309279i
\(279\) 9.20433 14.7613i 0.551049 0.883734i
\(280\) 0.0201783 + 0.140343i 0.00120588 + 0.00838711i
\(281\) 5.50246 + 12.0487i 0.328249 + 0.718765i 0.999753 0.0222361i \(-0.00707854\pi\)
−0.671504 + 0.741001i \(0.734351\pi\)
\(282\) −10.9224 + 0.856123i −0.650417 + 0.0509814i
\(283\) −4.64699 15.8262i −0.276235 0.940769i −0.974398 0.224830i \(-0.927817\pi\)
0.698163 0.715939i \(-0.254001\pi\)
\(284\) 8.07570 12.5660i 0.479205 0.745657i
\(285\) −2.34007 + 11.1219i −0.138614 + 0.658806i
\(286\) −2.61388 + 8.90204i −0.154562 + 0.526389i
\(287\) −0.560660 0.647036i −0.0330947 0.0381933i
\(288\) −1.20889 + 2.74565i −0.0712347 + 0.161789i
\(289\) 10.8905 + 3.19773i 0.640616 + 0.188102i
\(290\) −1.60545 + 3.51545i −0.0942754 + 0.206434i
\(291\) −18.5432 6.77251i −1.08702 0.397011i
\(292\) 8.50111 2.49615i 0.497490 0.146076i
\(293\) 1.93799 13.4790i 0.113219 0.787454i −0.851535 0.524298i \(-0.824328\pi\)
0.964753 0.263156i \(-0.0847633\pi\)
\(294\) 7.31085 + 9.62852i 0.426378 + 0.561546i
\(295\) −10.9738 + 1.57780i −0.638920 + 0.0918628i
\(296\) 0.522413 0.335735i 0.0303647 0.0195142i
\(297\) −19.1634 0.976865i −1.11197 0.0566834i
\(298\) 11.2913i 0.654086i
\(299\) −2.51106 11.7846i −0.145218 0.681523i
\(300\) 0.379713 + 1.68992i 0.0219227 + 0.0975674i
\(301\) −0.00289072 + 0.00333607i −0.000166619 + 0.000192288i
\(302\) −9.42699 14.6687i −0.542462 0.844088i
\(303\) 7.25572 + 19.0552i 0.416830 + 1.09470i
\(304\) 5.96885 2.72588i 0.342337 0.156340i
\(305\) −6.01857 0.865340i −0.344622 0.0495492i
\(306\) −4.74276 5.32485i −0.271125 0.304402i
\(307\) 11.3528 + 7.29603i 0.647941 + 0.416406i 0.822913 0.568167i \(-0.192347\pi\)
−0.174972 + 0.984573i \(0.555984\pi\)
\(308\) 0.476271 + 0.217506i 0.0271381 + 0.0123935i
\(309\) −15.8888 1.02748i −0.903880 0.0584512i
\(310\) −4.38230 + 3.79728i −0.248898 + 0.215671i
\(311\) 23.5507 20.4068i 1.33544 1.15716i 0.360986 0.932571i \(-0.382440\pi\)
0.974453 0.224593i \(-0.0721052\pi\)
\(312\) −4.34259 0.280822i −0.245851 0.0158984i
\(313\) −22.7704 10.3989i −1.28706 0.587781i −0.349935 0.936774i \(-0.613796\pi\)
−0.937125 + 0.348994i \(0.886524\pi\)
\(314\) 15.4171 + 9.90795i 0.870035 + 0.559138i
\(315\) −0.282912 0.317634i −0.0159403 0.0178967i
\(316\) −15.8128 2.27354i −0.889542 0.127897i
\(317\) 19.7230 9.00719i 1.10775 0.505894i 0.224351 0.974508i \(-0.427974\pi\)
0.883403 + 0.468614i \(0.155247\pi\)
\(318\) −5.42469 14.2465i −0.304202 0.798906i
\(319\) 7.71575 + 12.0059i 0.431999 + 0.672204i
\(320\) 0.654861 0.755750i 0.0366078 0.0422477i
\(321\) −0.0772617 0.343854i −0.00431233 0.0191921i
\(322\) −0.678452 + 0.0456194i −0.0378086 + 0.00254227i
\(323\) 15.5970i 0.867839i
\(324\) −1.52345 8.87012i −0.0846359 0.492785i
\(325\) −2.11359 + 1.35832i −0.117241 + 0.0753462i
\(326\) −5.17702 + 0.744344i −0.286729 + 0.0412254i
\(327\) −6.42207 8.45798i −0.355141 0.467727i
\(328\) −0.859343 + 5.97686i −0.0474493 + 0.330017i
\(329\) −0.860523 + 0.252672i −0.0474422 + 0.0139303i
\(330\) 6.00792 + 2.19426i 0.330725 + 0.120790i
\(331\) −11.8404 + 25.9268i −0.650806 + 1.42507i 0.240041 + 0.970763i \(0.422839\pi\)
−0.890847 + 0.454304i \(0.849888\pi\)
\(332\) 0.657208 + 0.192974i 0.0360690 + 0.0105908i
\(333\) −0.750715 + 1.70503i −0.0411389 + 0.0934351i
\(334\) −11.5533 13.3332i −0.632166 0.729559i
\(335\) 1.45572 4.95774i 0.0795347 0.270870i
\(336\) −0.0505636 + 0.240320i −0.00275847 + 0.0131105i
\(337\) −8.42888 + 13.1156i −0.459151 + 0.714452i −0.991216 0.132251i \(-0.957780\pi\)
0.532066 + 0.846703i \(0.321416\pi\)
\(338\) 1.88414 + 6.41679i 0.102484 + 0.349028i
\(339\) 2.54303 0.199329i 0.138118 0.0108261i
\(340\) 0.987409 + 2.16212i 0.0535498 + 0.117258i
\(341\) 3.04739 + 21.1950i 0.165025 + 1.14778i
\(342\) −10.4158 + 16.7042i −0.563223 + 0.903259i
\(343\) 1.49802 + 1.29804i 0.0808853 + 0.0700875i
\(344\) 0.0311331 0.00167859
\(345\) −8.21902 + 1.20322i −0.442497 + 0.0647792i
\(346\) 8.82177 0.474261
\(347\) 5.63893 + 4.88616i 0.302714 + 0.262303i 0.792950 0.609287i \(-0.208544\pi\)
−0.490236 + 0.871590i \(0.663090\pi\)
\(348\) −4.70086 + 4.76545i −0.251993 + 0.255455i
\(349\) −0.771285 5.36440i −0.0412859 0.287150i −0.999996 0.00276523i \(-0.999120\pi\)
0.958710 0.284385i \(-0.0917893\pi\)
\(350\) 0.0589002 + 0.128973i 0.00314835 + 0.00689392i
\(351\) 11.3276 6.48978i 0.604624 0.346399i
\(352\) −1.04038 3.54320i −0.0554523 0.188853i
\(353\) 12.5256 19.4903i 0.666673 1.03736i −0.328990 0.944333i \(-0.606708\pi\)
0.995663 0.0930300i \(-0.0296552\pi\)
\(354\) −18.7912 3.95370i −0.998742 0.210137i
\(355\) 4.20832 14.3322i 0.223354 0.760675i
\(356\) 4.64085 + 5.35583i 0.245965 + 0.283858i
\(357\) −0.469674 0.346618i −0.0248578 0.0183450i
\(358\) −10.7018 3.14232i −0.565605 0.166077i
\(359\) −4.58179 + 10.0327i −0.241818 + 0.529507i −0.991159 0.132677i \(-0.957643\pi\)
0.749342 + 0.662183i \(0.230370\pi\)
\(360\) −0.386386 + 2.97501i −0.0203643 + 0.156797i
\(361\) 23.0832 6.77783i 1.21490 0.356728i
\(362\) −0.951212 + 6.61582i −0.0499946 + 0.347720i
\(363\) 3.63716 2.76167i 0.190901 0.144950i
\(364\) −0.352603 + 0.0506966i −0.0184814 + 0.00265722i
\(365\) 7.45351 4.79008i 0.390135 0.250724i
\(366\) −9.27764 4.98411i −0.484950 0.260523i
\(367\) 22.1944i 1.15854i 0.815136 + 0.579269i \(0.196662\pi\)
−0.815136 + 0.579269i \(0.803338\pi\)
\(368\) 3.37669 + 3.40558i 0.176022 + 0.177528i
\(369\) −7.74937 16.3737i −0.403416 0.852383i
\(370\) 0.406665 0.469316i 0.0211415 0.0243986i
\(371\) −0.674672 1.04981i −0.0350272 0.0545034i
\(372\) −9.38607 + 3.57396i −0.486645 + 0.185301i
\(373\) −15.8632 + 7.24448i −0.821366 + 0.375105i −0.781349 0.624094i \(-0.785468\pi\)
−0.0400163 + 0.999199i \(0.512741\pi\)
\(374\) 8.68812 + 1.24916i 0.449252 + 0.0645927i
\(375\) 0.840436 + 1.51449i 0.0433999 + 0.0782077i
\(376\) 5.32124 + 3.41975i 0.274422 + 0.176360i
\(377\) −8.83233 4.03359i −0.454888 0.207740i
\(378\) −0.271540 0.684878i −0.0139665 0.0352263i
\(379\) −2.22214 + 1.92549i −0.114144 + 0.0989060i −0.710063 0.704139i \(-0.751333\pi\)
0.595919 + 0.803045i \(0.296788\pi\)
\(380\) 4.95910 4.29709i 0.254397 0.220436i
\(381\) −2.47273 + 38.2378i −0.126682 + 1.95898i
\(382\) −3.70081 1.69010i −0.189350 0.0864732i
\(383\) 23.8442 + 15.3237i 1.21838 + 0.783007i 0.982042 0.188663i \(-0.0604155\pi\)
0.236341 + 0.971670i \(0.424052\pi\)
\(384\) 1.51449 0.840436i 0.0772858 0.0428883i
\(385\) 0.518257 + 0.0745141i 0.0264128 + 0.00379759i
\(386\) −14.2504 + 6.50795i −0.725328 + 0.331246i
\(387\) −0.0778763 + 0.0515630i −0.00395867 + 0.00262109i
\(388\) 6.16202 + 9.58829i 0.312829 + 0.486772i
\(389\) −9.07318 + 10.4710i −0.460028 + 0.530901i −0.937611 0.347686i \(-0.886968\pi\)
0.477583 + 0.878587i \(0.341513\pi\)
\(390\) −4.24580 + 0.954001i −0.214994 + 0.0483077i
\(391\) −10.6975 + 3.93811i −0.540994 + 0.199159i
\(392\) 6.97990i 0.352538i
\(393\) −15.3653 + 28.6016i −0.775076 + 1.44276i
\(394\) 14.5211 9.33217i 0.731565 0.470148i
\(395\) −15.8128 + 2.27354i −0.795630 + 0.114394i
\(396\) 8.47067 + 7.13986i 0.425667 + 0.358791i
\(397\) 1.40357 9.76204i 0.0704431 0.489943i −0.923807 0.382859i \(-0.874940\pi\)
0.994250 0.107084i \(-0.0341513\pi\)
\(398\) −4.59841 + 1.35022i −0.230498 + 0.0676802i
\(399\) −0.552834 + 1.51367i −0.0276763 + 0.0757781i
\(400\) 0.415415 0.909632i 0.0207708 0.0454816i
\(401\) −9.96439 2.92581i −0.497598 0.146108i 0.0232974 0.999729i \(-0.492584\pi\)
−0.520895 + 0.853621i \(0.674402\pi\)
\(402\) 5.31428 7.20093i 0.265052 0.359150i
\(403\) −9.54040 11.0102i −0.475241 0.548458i
\(404\) 3.31659 11.2953i 0.165006 0.561960i
\(405\) −3.96074 8.08162i −0.196811 0.401579i
\(406\) −0.296250 + 0.460974i −0.0147027 + 0.0228778i
\(407\) −0.646068 2.20031i −0.0320244 0.109065i
\(408\) 0.321710 + 4.10436i 0.0159270 + 0.203196i
\(409\) −1.15586 2.53098i −0.0571536 0.125149i 0.878900 0.477005i \(-0.158278\pi\)
−0.936054 + 0.351856i \(0.885551\pi\)
\(410\) 0.859343 + 5.97686i 0.0424399 + 0.295176i
\(411\) 4.93521 + 4.86833i 0.243436 + 0.240137i
\(412\) 6.94726 + 6.01983i 0.342267 + 0.296576i
\(413\) −1.57194 −0.0773500
\(414\) −14.0868 2.92621i −0.692327 0.143815i
\(415\) 0.684954 0.0336230
\(416\) 1.89877 + 1.64529i 0.0930948 + 0.0806671i
\(417\) −9.70985 9.57825i −0.475493 0.469049i
\(418\) −3.44849 23.9848i −0.168671 1.17313i
\(419\) −4.05291 8.87463i −0.197997 0.433554i 0.784425 0.620223i \(-0.212958\pi\)
−0.982423 + 0.186669i \(0.940231\pi\)
\(420\) 0.0191904 + 0.244830i 0.000936397 + 0.0119465i
\(421\) −4.05609 13.8138i −0.197682 0.673242i −0.997347 0.0727960i \(-0.976808\pi\)
0.799665 0.600446i \(-0.205010\pi\)
\(422\) 1.70929 2.65971i 0.0832070 0.129473i
\(423\) −18.9743 + 0.258932i −0.922564 + 0.0125897i
\(424\) −2.47963 + 8.44483i −0.120421 + 0.410117i
\(425\) 1.55655 + 1.79636i 0.0755039 + 0.0871362i
\(426\) 15.3629 20.8170i 0.744336 1.00859i
\(427\) −0.827204 0.242889i −0.0400312 0.0117542i
\(428\) −0.0845262 + 0.185087i −0.00408573 + 0.00894650i
\(429\) −5.51294 + 15.0945i −0.266167 + 0.728769i
\(430\) 0.0298720 0.00877122i 0.00144056 0.000422986i
\(431\) 5.40524 37.5943i 0.260361 1.81085i −0.269755 0.962929i \(-0.586943\pi\)
0.530117 0.847925i \(-0.322148\pi\)
\(432\) −2.39639 + 4.61057i −0.115296 + 0.221826i
\(433\) −19.9101 + 2.86264i −0.956820 + 0.137570i −0.602998 0.797743i \(-0.706027\pi\)
−0.353822 + 0.935313i \(0.615118\pi\)
\(434\) −0.691648 + 0.444495i −0.0332002 + 0.0213365i
\(435\) −3.16786 + 5.89680i −0.151887 + 0.282730i
\(436\) 6.13135i 0.293639i
\(437\) 18.7514 + 25.2727i 0.897003 + 1.20896i
\(438\) 14.9727 3.36426i 0.715422 0.160750i
\(439\) −15.5822 + 17.9828i −0.743697 + 0.858273i −0.993942 0.109910i \(-0.964944\pi\)
0.250244 + 0.968183i \(0.419489\pi\)
\(440\) −1.99647 3.10657i −0.0951779 0.148100i
\(441\) 11.5602 + 17.4595i 0.550484 + 0.831404i
\(442\) −5.43219 + 2.48080i −0.258383 + 0.117999i
\(443\) −0.369448 0.0531186i −0.0175530 0.00252374i 0.133533 0.991044i \(-0.457368\pi\)
−0.151086 + 0.988521i \(0.548277\pi\)
\(444\) 0.940486 0.521906i 0.0446335 0.0247685i
\(445\) 5.96178 + 3.83140i 0.282615 + 0.181626i
\(446\) −2.28895 1.04533i −0.108385 0.0494976i
\(447\) 1.26206 19.5163i 0.0596934 0.923090i
\(448\) 0.107155 0.0928503i 0.00506260 0.00438677i
\(449\) 5.49546 4.76184i 0.259347 0.224725i −0.515476 0.856904i \(-0.672385\pi\)
0.774822 + 0.632179i \(0.217839\pi\)
\(450\) 0.467423 + 2.96336i 0.0220346 + 0.139694i
\(451\) 20.2832 + 9.26301i 0.955097 + 0.436178i
\(452\) −1.23893 0.796213i −0.0582744 0.0374507i
\(453\) −14.6544 26.4076i −0.688525 1.24074i
\(454\) −12.2629 1.76314i −0.575526 0.0827482i
\(455\) −0.324037 + 0.147983i −0.0151911 + 0.00693753i
\(456\) 10.6215 4.04437i 0.497397 0.189395i
\(457\) −7.99061 12.4336i −0.373785 0.581621i 0.602498 0.798121i \(-0.294172\pi\)
−0.976283 + 0.216500i \(0.930536\pi\)
\(458\) 5.08533 5.86878i 0.237622 0.274230i
\(459\) −7.60240 9.73381i −0.354850 0.454335i
\(460\) 4.19937 + 2.31631i 0.195797 + 0.107998i
\(461\) 11.2713i 0.524956i 0.964938 + 0.262478i \(0.0845398\pi\)
−0.964938 + 0.262478i \(0.915460\pi\)
\(462\) 0.798895 + 0.429180i 0.0371680 + 0.0199673i
\(463\) −10.5899 + 6.80572i −0.492155 + 0.316289i −0.763071 0.646314i \(-0.776310\pi\)
0.270917 + 0.962603i \(0.412673\pi\)
\(464\) 3.82536 0.550004i 0.177588 0.0255333i
\(465\) −7.99897 + 6.07355i −0.370943 + 0.281654i
\(466\) 1.45906 10.1480i 0.0675899 0.470098i
\(467\) −24.8543 + 7.29789i −1.15012 + 0.337706i −0.800587 0.599217i \(-0.795479\pi\)
−0.349535 + 0.936923i \(0.613661\pi\)
\(468\) −7.47451 0.970768i −0.345510 0.0448738i
\(469\) 0.304340 0.666411i 0.0140531 0.0307720i
\(470\) 6.06915 + 1.78206i 0.279949 + 0.0822004i
\(471\) 25.5400 + 18.8485i 1.17682 + 0.868493i
\(472\) 7.26021 + 8.37873i 0.334178 + 0.385663i
\(473\) 0.0323902 0.110311i 0.00148930 0.00507210i
\(474\) −27.0774 5.69713i −1.24371 0.261678i
\(475\) 3.54760 5.52017i 0.162775 0.253283i
\(476\) 0.0949482 + 0.323364i 0.00435194 + 0.0148214i
\(477\) −7.78388 25.2306i −0.356399 1.15523i
\(478\) −3.84487 8.41908i −0.175860 0.385080i
\(479\) 3.25186 + 22.6172i 0.148581 + 1.03341i 0.918545 + 0.395317i \(0.129365\pi\)
−0.769963 + 0.638088i \(0.779725\pi\)
\(480\) 1.21636 1.23307i 0.0555190 0.0562818i
\(481\) 1.17912 + 1.02172i 0.0537634 + 0.0465863i
\(482\) 4.84279 0.220583
\(483\) −1.17776 + 0.00301786i −0.0535900 + 0.000137318i
\(484\) −2.63665 −0.119848
\(485\) 8.61375 + 7.46386i 0.391130 + 0.338916i
\(486\) −1.64175 15.5018i −0.0744711 0.703174i
\(487\) 0.00640831 + 0.0445707i 0.000290388 + 0.00201969i 0.989966 0.141305i \(-0.0451298\pi\)
−0.989676 + 0.143325i \(0.954221\pi\)
\(488\) 2.52591 + 5.53098i 0.114343 + 0.250376i
\(489\) −9.03137 + 0.707902i −0.408413 + 0.0320124i
\(490\) −1.96646 6.69716i −0.0888358 0.302547i
\(491\) 19.1205 29.7520i 0.862895 1.34269i −0.0755071 0.997145i \(-0.524058\pi\)
0.938402 0.345545i \(-0.112306\pi\)
\(492\) −2.15337 + 10.2346i −0.0970816 + 0.461411i
\(493\) −2.58802 + 8.81398i −0.116559 + 0.396962i
\(494\) 10.7961 + 12.4594i 0.485741 + 0.560575i
\(495\) 10.1391 + 4.46418i 0.455718 + 0.200650i
\(496\) 5.56372 + 1.63366i 0.249819 + 0.0733534i
\(497\) 0.879809 1.92651i 0.0394648 0.0864159i
\(498\) 1.11438 + 0.407002i 0.0499364 + 0.0182382i
\(499\) −2.48688 + 0.730213i −0.111328 + 0.0326888i −0.336922 0.941533i \(-0.609386\pi\)
0.225594 + 0.974221i \(0.427568\pi\)
\(500\) 0.142315 0.989821i 0.00636451 0.0442662i
\(501\) −18.4788 24.3369i −0.825573 1.08729i
\(502\) 29.0037 4.17010i 1.29450 0.186121i
\(503\) 26.0180 16.7207i 1.16008 0.745541i 0.188462 0.982080i \(-0.439650\pi\)
0.971622 + 0.236540i \(0.0760133\pi\)
\(504\) −0.114257 + 0.409726i −0.00508943 + 0.0182507i
\(505\) 11.7721i 0.523852i
\(506\) 15.5797 8.42118i 0.692601 0.374367i
\(507\) 2.53940 + 11.3016i 0.112779 + 0.501924i
\(508\) 14.4873 16.7193i 0.642771 0.741797i
\(509\) −12.2439 19.0519i −0.542702 0.844461i 0.456268 0.889843i \(-0.349186\pi\)
−0.998970 + 0.0453817i \(0.985550\pi\)
\(510\) 1.46501 + 3.84747i 0.0648718 + 0.170369i
\(511\) 1.14271 0.521856i 0.0505503 0.0230856i
\(512\) −0.989821 0.142315i −0.0437443 0.00628949i
\(513\) −19.8702 + 27.7080i −0.877291 + 1.22334i
\(514\) 0.206905 + 0.132970i 0.00912621 + 0.00586506i
\(515\) 8.36183 + 3.81872i 0.368466 + 0.168273i
\(516\) 0.0538118 + 0.00347985i 0.00236893 + 0.000153192i
\(517\) 17.6530 15.2964i 0.776377 0.672734i
\(518\) 0.0665426 0.0576595i 0.00292371 0.00253341i
\(519\) 15.2479 + 0.986036i 0.669309 + 0.0432822i
\(520\) 2.28539 + 1.04370i 0.100221 + 0.0457693i
\(521\) 31.2427 + 20.0784i 1.36877 + 0.879653i 0.998780 0.0493843i \(-0.0157259\pi\)
0.369987 + 0.929037i \(0.379362\pi\)
\(522\) −8.65781 + 7.71137i −0.378942 + 0.337517i
\(523\) 35.7237 + 5.13630i 1.56209 + 0.224595i 0.868468 0.495744i \(-0.165105\pi\)
0.693622 + 0.720339i \(0.256014\pi\)
\(524\) 17.0512 7.78702i 0.744885 0.340178i
\(525\) 0.0873897 + 0.229506i 0.00381400 + 0.0100165i
\(526\) 10.0417 + 15.6251i 0.437837 + 0.681288i
\(527\) −9.02584 + 10.4164i −0.393172 + 0.453744i
\(528\) −1.40220 6.24050i −0.0610228 0.271583i
\(529\) −12.5992 + 19.2422i −0.547789 + 0.836616i
\(530\) 8.80135i 0.382306i
\(531\) −32.0376 8.93409i −1.39031 0.387706i
\(532\) 0.782684 0.503001i 0.0339337 0.0218078i
\(533\) −15.0164 + 2.15904i −0.650434 + 0.0935184i
\(534\) 7.42280 + 9.77596i 0.321216 + 0.423047i
\(535\) −0.0289574 + 0.201403i −0.00125194 + 0.00870741i
\(536\) −4.95774 + 1.45572i −0.214142 + 0.0628777i
\(537\) −18.1461 6.62748i −0.783063 0.285997i
\(538\) −0.948352 + 2.07660i −0.0408864 + 0.0895286i
\(539\) −24.7312 7.26173i −1.06525 0.312785i
\(540\) −1.00037 + 5.09895i −0.0430491 + 0.219424i
\(541\) 4.36030 + 5.03205i 0.187464 + 0.216345i 0.841700 0.539945i \(-0.181555\pi\)
−0.654236 + 0.756290i \(0.727010\pi\)
\(542\) 0.303581 1.03390i 0.0130399 0.0444099i
\(543\) −2.38358 + 11.3287i −0.102289 + 0.486163i
\(544\) 1.28506 1.99959i 0.0550965 0.0857319i
\(545\) 1.72740 + 5.88299i 0.0739938 + 0.252000i
\(546\) −0.615119 + 0.0482146i −0.0263247 + 0.00206339i
\(547\) 9.21812 + 20.1849i 0.394138 + 0.863042i 0.997831 + 0.0658254i \(0.0209680\pi\)
−0.603693 + 0.797217i \(0.706305\pi\)
\(548\) −0.569597 3.96163i −0.0243320 0.169233i
\(549\) −15.4788 9.65172i −0.660618 0.411926i
\(550\) −2.79082 2.41826i −0.119001 0.103115i
\(551\) 25.3595 1.08035
\(552\) 5.45575 + 6.26377i 0.232212 + 0.266604i
\(553\) −2.26510 −0.0963219
\(554\) −12.6947 11.0000i −0.539345 0.467345i
\(555\) 0.755352 0.765730i 0.0320629 0.0325034i
\(556\) 1.12066 + 7.79436i 0.0475266 + 0.330555i
\(557\) −6.15217 13.4714i −0.260676 0.570800i 0.733362 0.679839i \(-0.237950\pi\)
−0.994038 + 0.109038i \(0.965223\pi\)
\(558\) −16.6227 + 5.12827i −0.703697 + 0.217097i
\(559\) 0.0220371 + 0.0750514i 0.000932069 + 0.00317434i
\(560\) 0.0766555 0.119278i 0.00323929 0.00504043i
\(561\) 14.8773 + 3.13020i 0.628119 + 0.132157i
\(562\) 3.73174 12.7091i 0.157414 0.536103i
\(563\) −3.99975 4.61596i −0.168570 0.194540i 0.665179 0.746684i \(-0.268355\pi\)
−0.833749 + 0.552144i \(0.813810\pi\)
\(564\) 8.81521 + 6.50561i 0.371187 + 0.273936i
\(565\) −1.41306 0.414913i −0.0594481 0.0174555i
\(566\) −6.85199 + 15.0038i −0.288010 + 0.630655i
\(567\) −0.392789 1.21412i −0.0164956 0.0509883i
\(568\) −14.3322 + 4.20832i −0.601366 + 0.176577i
\(569\) −4.82382 + 33.5504i −0.202225 + 1.40651i 0.595437 + 0.803402i \(0.296979\pi\)
−0.797662 + 0.603105i \(0.793930\pi\)
\(570\) 9.05181 6.87297i 0.379139 0.287877i
\(571\) −11.1666 + 1.60552i −0.467308 + 0.0671888i −0.371947 0.928254i \(-0.621310\pi\)
−0.0953611 + 0.995443i \(0.530401\pi\)
\(572\) 7.80503 5.01599i 0.326345 0.209729i
\(573\) −6.20772 3.33489i −0.259331 0.139317i
\(574\) 0.856152i 0.0357351i
\(575\) 4.68185 + 1.03938i 0.195246 + 0.0433453i
\(576\) 2.71164 1.28337i 0.112985 0.0534735i
\(577\) 30.2558 34.9171i 1.25957 1.45362i 0.422643 0.906296i \(-0.361102\pi\)
0.836923 0.547321i \(-0.184352\pi\)
\(578\) −6.13640 9.54843i −0.255241 0.397162i
\(579\) −25.3584 + 9.65580i −1.05386 + 0.401281i
\(580\) 3.51545 1.60545i 0.145971 0.0666628i
\(581\) 0.0961286 + 0.0138212i 0.00398809 + 0.000573400i
\(582\) 9.57897 + 17.2615i 0.397061 + 0.715514i
\(583\) 27.3420 + 17.5716i 1.13239 + 0.727742i
\(584\) −8.05934 3.68058i −0.333498 0.152303i
\(585\) −7.44524 + 1.17437i −0.307823 + 0.0485542i
\(586\) −10.2915 + 8.91766i −0.425139 + 0.368385i
\(587\) −18.7108 + 16.2130i −0.772278 + 0.669183i −0.949070 0.315065i \(-0.897974\pi\)
0.176792 + 0.984248i \(0.443428\pi\)
\(588\) 0.780164 12.0643i 0.0321734 0.497525i
\(589\) 34.6110 + 15.8063i 1.42612 + 0.651289i
\(590\) 9.32669 + 5.99390i 0.383974 + 0.246765i
\(591\) 26.1420 14.5070i 1.07534 0.596740i
\(592\) −0.614673 0.0883766i −0.0252629 0.00363226i
\(593\) 37.3958 17.0781i 1.53566 0.701313i 0.545099 0.838372i \(-0.316492\pi\)
0.990563 + 0.137059i \(0.0437649\pi\)
\(594\) 13.8430 + 13.2876i 0.567985 + 0.545197i
\(595\) 0.182204 + 0.283515i 0.00746964 + 0.0116230i
\(596\) −7.39422 + 8.53338i −0.302879 + 0.349541i
\(597\) −8.09900 + 1.81979i −0.331470 + 0.0744790i
\(598\) −5.81957 + 10.5506i −0.237980 + 0.431447i
\(599\) 11.4063i 0.466050i 0.972471 + 0.233025i \(0.0748624\pi\)
−0.972471 + 0.233025i \(0.925138\pi\)
\(600\) 0.819692 1.52581i 0.0334638 0.0622910i
\(601\) 22.3913 14.3900i 0.913358 0.586980i 0.00263503 0.999997i \(-0.499161\pi\)
0.910723 + 0.413017i \(0.135525\pi\)
\(602\) 0.00436933 0.000628214i 0.000178080 2.56041e-5i
\(603\) 9.99028 11.8524i 0.406836 0.482667i
\(604\) −2.48150 + 17.2592i −0.100971 + 0.702267i
\(605\) −2.52984 + 0.742829i −0.102853 + 0.0302003i
\(606\) 6.99503 19.1525i 0.284154 0.778016i
\(607\) 15.9539 34.9342i 0.647550 1.41794i −0.246132 0.969236i \(-0.579160\pi\)
0.893682 0.448701i \(-0.148113\pi\)
\(608\) −6.29603 1.84868i −0.255338 0.0749740i
\(609\) −0.563576 + 0.763654i −0.0228372 + 0.0309448i
\(610\) 3.98185 + 4.59531i 0.161221 + 0.186058i
\(611\) −4.47731 + 15.2483i −0.181133 + 0.616881i
\(612\) 0.0973002 + 7.13010i 0.00393313 + 0.288217i
\(613\) 20.8995 32.5202i 0.844122 1.31348i −0.103677 0.994611i \(-0.533061\pi\)
0.947799 0.318868i \(-0.103303\pi\)
\(614\) −3.80202 12.9485i −0.153437 0.522559i
\(615\) 0.817271 + 10.4267i 0.0329556 + 0.420445i
\(616\) −0.217506 0.476271i −0.00876355 0.0191895i
\(617\) −3.46110 24.0725i −0.139339 0.969123i −0.932772 0.360466i \(-0.882618\pi\)
0.793434 0.608657i \(-0.208291\pi\)
\(618\) 11.3351 + 11.1814i 0.455963 + 0.449783i
\(619\) −34.5751 29.9595i −1.38969 1.20417i −0.952399 0.304854i \(-0.901392\pi\)
−0.437292 0.899320i \(-0.644062\pi\)
\(620\) 5.79861 0.232878
\(621\) −24.0211 6.63230i −0.963933 0.266145i
\(622\) −31.1621 −1.24948
\(623\) 0.759384 + 0.658010i 0.0304241 + 0.0263626i
\(624\) 3.09801 + 3.05602i 0.124020 + 0.122339i
\(625\) −0.142315 0.989821i −0.00569259 0.0395929i
\(626\) 10.3989 + 22.7704i 0.415624 + 0.910089i
\(627\) −3.27966 41.8417i −0.130977 1.67100i
\(628\) −5.16312 17.5840i −0.206031 0.701676i
\(629\) 0.798015 1.24174i 0.0318189 0.0495112i
\(630\) 0.00580408 + 0.425320i 0.000231240 + 0.0169451i
\(631\) −12.5786 + 42.8388i −0.500747 + 1.70539i 0.189559 + 0.981869i \(0.439294\pi\)
−0.690306 + 0.723517i \(0.742524\pi\)
\(632\) 10.4617 + 12.0734i 0.416144 + 0.480256i
\(633\) 3.25169 4.40610i 0.129243 0.175127i
\(634\) −20.8041 6.10863i −0.826236 0.242605i
\(635\) 9.19012 20.1236i 0.364699 0.798579i
\(636\) −5.22979 + 14.3192i −0.207375 + 0.567794i
\(637\) 16.8262 4.94060i 0.666676 0.195754i
\(638\) 2.03104 14.1262i 0.0804098 0.559263i
\(639\) 28.8807 34.2638i 1.14250 1.35545i
\(640\) −0.989821 + 0.142315i −0.0391261 + 0.00562549i
\(641\) 30.7222 19.7439i 1.21345 0.779839i 0.232219 0.972663i \(-0.425401\pi\)
0.981233 + 0.192825i \(0.0617649\pi\)
\(642\) −0.166786 + 0.310463i −0.00658253 + 0.0122530i
\(643\) 46.9420i 1.85121i −0.378491 0.925605i \(-0.623557\pi\)
0.378491 0.925605i \(-0.376443\pi\)
\(644\) 0.542614 + 0.409815i 0.0213820 + 0.0161490i
\(645\) 0.0526124 0.0118216i 0.00207161 0.000465477i
\(646\) 10.2138 11.7874i 0.401858 0.463769i
\(647\) 5.33289 + 8.29813i 0.209657 + 0.326233i 0.930117 0.367264i \(-0.119705\pi\)
−0.720459 + 0.693497i \(0.756069\pi\)
\(648\) −4.65735 + 7.70124i −0.182958 + 0.302533i
\(649\) 37.2409 17.0073i 1.46183 0.667597i
\(650\) 2.48686 + 0.357556i 0.0975426 + 0.0140245i
\(651\) −1.24516 + 0.690976i −0.0488015 + 0.0270815i
\(652\) 4.39997 + 2.82769i 0.172316 + 0.110741i
\(653\) −19.6638 8.98018i −0.769506 0.351422i −0.00832853 0.999965i \(-0.502651\pi\)
−0.761177 + 0.648544i \(0.775378\pi\)
\(654\) −0.685320 + 10.5977i −0.0267981 + 0.414402i
\(655\) 14.1667 12.2755i 0.553537 0.479643i
\(656\) 4.56346 3.95426i 0.178173 0.154388i
\(657\) 26.2554 4.14137i 1.02432 0.161570i
\(658\) 0.815805 + 0.372566i 0.0318034 + 0.0145241i
\(659\) −32.6578 20.9879i −1.27217 0.817573i −0.282268 0.959336i \(-0.591087\pi\)
−0.989901 + 0.141763i \(0.954723\pi\)
\(660\) −3.10355 5.59267i −0.120805 0.217694i
\(661\) 23.8572 + 3.43015i 0.927937 + 0.133417i 0.589680 0.807637i \(-0.299254\pi\)
0.338257 + 0.941054i \(0.390163\pi\)
\(662\) 25.9268 11.8404i 1.00767 0.460189i
\(663\) −9.66650 + 3.68074i −0.375416 + 0.142948i
\(664\) −0.370314 0.576220i −0.0143710 0.0223617i
\(665\) 0.609269 0.703133i 0.0236264 0.0272663i
\(666\) 1.68391 0.796962i 0.0652502 0.0308816i
\(667\) 6.40308 + 17.3933i 0.247928 + 0.673470i
\(668\) 17.6423i 0.682602i
\(669\) −3.83947 2.06263i −0.148442 0.0797458i
\(670\) −4.34679 + 2.79351i −0.167931 + 0.107923i
\(671\) 22.2253 3.19551i 0.857997 0.123361i
\(672\) 0.195589 0.148509i 0.00754502 0.00572887i
\(673\) 0.507012 3.52635i 0.0195439 0.135931i −0.977713 0.209944i \(-0.932672\pi\)
0.997257 + 0.0740136i \(0.0235808\pi\)
\(674\) 14.9590 4.39236i 0.576200 0.169188i
\(675\) 0.476690 + 5.17424i 0.0183478 + 0.199157i
\(676\) 2.77817 6.08334i 0.106853 0.233975i
\(677\) −43.1162 12.6601i −1.65709 0.486566i −0.686465 0.727163i \(-0.740839\pi\)
−0.970625 + 0.240597i \(0.922657\pi\)
\(678\) −2.05242 1.51469i −0.0788229 0.0581711i
\(679\) 1.05827 + 1.22131i 0.0406128 + 0.0468697i
\(680\) 0.669656 2.28064i 0.0256802 0.0874586i
\(681\) −20.9986 4.41814i −0.804669 0.169304i
\(682\) 11.5767 18.0138i 0.443296 0.689783i
\(683\) 9.29001 + 31.6389i 0.355472 + 1.21063i 0.922197 + 0.386721i \(0.126392\pi\)
−0.566725 + 0.823907i \(0.691790\pi\)
\(684\) 18.8107 5.80326i 0.719244 0.221893i
\(685\) −1.66265 3.64069i −0.0635264 0.139103i
\(686\) −0.282091 1.96198i −0.0107703 0.0749089i
\(687\) 9.44566 9.57544i 0.360374 0.365326i
\(688\) −0.0235289 0.0203879i −0.000897029 0.000777280i
\(689\) −22.1128 −0.842429
\(690\) 6.99946 + 4.47298i 0.266465 + 0.170283i
\(691\) −20.6090 −0.784002 −0.392001 0.919965i \(-0.628217\pi\)
−0.392001 + 0.919965i \(0.628217\pi\)
\(692\) −6.66705 5.77703i −0.253443 0.219610i
\(693\) 1.33287 + 0.831107i 0.0506316 + 0.0315711i
\(694\) −1.06186 7.38543i −0.0403078 0.280347i
\(695\) 3.27119 + 7.16291i 0.124083 + 0.271705i
\(696\) 6.67338 0.523077i 0.252954 0.0198272i
\(697\) 4.04360 + 13.7712i 0.153162 + 0.521623i
\(698\) −2.93004 + 4.55923i −0.110904 + 0.172569i
\(699\) 3.65618 17.3772i 0.138289 0.657265i
\(700\) 0.0399458 0.136043i 0.00150981 0.00514194i
\(701\) −7.76356 8.95962i −0.293226 0.338400i 0.589953 0.807438i \(-0.299146\pi\)
−0.883178 + 0.469038i \(0.844601\pi\)
\(702\) −12.8107 2.51336i −0.483511 0.0948608i
\(703\) −3.90980 1.14802i −0.147461 0.0432984i
\(704\) −1.53404 + 3.35907i −0.0578162 + 0.126600i
\(705\) 10.2910 + 3.75856i 0.387581 + 0.141555i
\(706\) −22.2297 + 6.52722i −0.836625 + 0.245655i
\(707\) 0.237541 1.65214i 0.00893366 0.0621350i
\(708\) 11.6123 + 15.2936i 0.436418 + 0.574770i
\(709\) −22.7044 + 3.26441i −0.852683 + 0.122597i −0.554778 0.831998i \(-0.687197\pi\)
−0.297905 + 0.954596i \(0.596288\pi\)
\(710\) −12.5660 + 8.07570i −0.471595 + 0.303076i
\(711\) −46.1650 12.8737i −1.73132 0.482801i
\(712\) 7.08678i 0.265588i
\(713\) −2.10204 + 27.7296i −0.0787220 + 1.03848i
\(714\) 0.127969 + 0.569528i 0.00478912 + 0.0213140i
\(715\) 6.07571 7.01174i 0.227219 0.262224i
\(716\) 6.03006 + 9.38296i 0.225354 + 0.350658i
\(717\) −5.70460 14.9816i −0.213042 0.559500i
\(718\) 10.0327 4.58179i 0.374418 0.170991i
\(719\) −28.1033 4.04065i −1.04808 0.150691i −0.403305 0.915066i \(-0.632139\pi\)
−0.644772 + 0.764375i \(0.723048\pi\)
\(720\) 2.24023 1.99534i 0.0834885 0.0743618i
\(721\) 1.09647 + 0.704659i 0.0408347 + 0.0262429i
\(722\) −21.8836 9.99392i −0.814424 0.371935i
\(723\) 8.37047 + 0.541293i 0.311301 + 0.0201309i
\(724\) 5.05132 4.37699i 0.187731 0.162670i
\(725\) 2.92074 2.53084i 0.108474 0.0939930i
\(726\) −4.55729 0.294706i −0.169137 0.0109376i
\(727\) −12.8775 5.88095i −0.477599 0.218112i 0.162045 0.986783i \(-0.448191\pi\)
−0.639644 + 0.768671i \(0.720918\pi\)
\(728\) 0.299678 + 0.192592i 0.0111068 + 0.00713792i
\(729\) −1.10498 26.9774i −0.0409252 0.999162i
\(730\) −8.76982 1.26091i −0.324586 0.0466684i
\(731\) 0.0673137 0.0307412i 0.00248969 0.00113700i
\(732\) 3.74768 + 9.84230i 0.138518 + 0.363782i
\(733\) 3.96790 + 6.17417i 0.146558 + 0.228048i 0.906769 0.421628i \(-0.138541\pi\)
−0.760211 + 0.649676i \(0.774905\pi\)
\(734\) 14.5342 16.7734i 0.536469 0.619118i
\(735\) −2.65035 11.7954i −0.0977598 0.435081i
\(736\) −0.321748 4.78503i −0.0118598 0.176378i
\(737\) 19.0808i 0.702849i
\(738\) −4.86593 + 17.4492i −0.179117 + 0.642314i
\(739\) −38.7352 + 24.8936i −1.42490 + 0.915725i −0.424951 + 0.905216i \(0.639709\pi\)
−0.999945 + 0.0105090i \(0.996655\pi\)
\(740\) −0.614673 + 0.0883766i −0.0225958 + 0.00324879i
\(741\) 17.2679 + 22.7421i 0.634350 + 0.835450i
\(742\) −0.177596 + 1.23521i −0.00651976 + 0.0453460i
\(743\) 13.1307 3.85553i 0.481720 0.141446i −0.0318515 0.999493i \(-0.510140\pi\)
0.513571 + 0.858047i \(0.328322\pi\)
\(744\) 9.43397 + 3.44555i 0.345866 + 0.126320i
\(745\) −4.69057 + 10.2709i −0.171849 + 0.376297i
\(746\) 16.7327 + 4.91318i 0.612629 + 0.179884i
\(747\) 1.88064 + 0.828035i 0.0688090 + 0.0302962i
\(748\) −5.74801 6.63356i −0.210168 0.242547i
\(749\) −0.00812794 + 0.0276812i −0.000296989 + 0.00101145i
\(750\) 0.356618 1.69494i 0.0130219 0.0618905i
\(751\) −25.3427 + 39.4339i −0.924767 + 1.43897i −0.0264334 + 0.999651i \(0.508415\pi\)
−0.898333 + 0.439315i \(0.855221\pi\)
\(752\) −1.78206 6.06915i −0.0649852 0.221319i
\(753\) 50.5973 3.96594i 1.84387 0.144527i
\(754\) 4.03359 + 8.83233i 0.146895 + 0.321654i
\(755\) 2.48150 + 17.2592i 0.0903110 + 0.628127i
\(756\) −0.243283 + 0.695417i −0.00884813 + 0.0252921i
\(757\) 7.16437 + 6.20796i 0.260393 + 0.225632i 0.775267 0.631634i \(-0.217616\pi\)
−0.514873 + 0.857266i \(0.672161\pi\)
\(758\) 2.94031 0.106797
\(759\) 27.8698 12.8141i 1.01161 0.465123i
\(760\) −6.56183 −0.238023
\(761\) 25.8116 + 22.3659i 0.935669 + 0.810762i 0.982139 0.188158i \(-0.0602516\pi\)
−0.0464696 + 0.998920i \(0.514797\pi\)
\(762\) 26.9092 27.2789i 0.974818 0.988212i
\(763\) 0.123720 + 0.860494i 0.00447898 + 0.0311520i
\(764\) 1.69010 + 3.70081i 0.0611458 + 0.133891i
\(765\) 2.10214 + 6.81387i 0.0760031 + 0.246356i
\(766\) −7.98534 27.1956i −0.288522 0.982615i
\(767\) −15.0593 + 23.4327i −0.543758 + 0.846104i
\(768\) −1.69494 0.356618i −0.0611609 0.0128683i
\(769\) 12.0414 41.0094i 0.434226 1.47884i −0.394351 0.918960i \(-0.629030\pi\)
0.828576 0.559876i \(-0.189151\pi\)
\(770\) −0.342876 0.395700i −0.0123564 0.0142600i
\(771\) 0.342761 + 0.252957i 0.0123442 + 0.00911003i
\(772\) 15.0316 + 4.41366i 0.540998 + 0.158851i
\(773\) −17.7549 + 38.8779i −0.638601 + 1.39834i 0.262585 + </