Properties

Label 370.2.v.b.289.6
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.6
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.b.169.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(0.0975036 - 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.05672 + 0.877435i) q^{5} -0.285081i q^{6} +(3.86387 - 0.681305i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(0.0975036 - 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.05672 + 0.877435i) q^{5} -0.285081i q^{6} +(3.86387 - 0.681305i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +(-1.63259 + 1.52796i) q^{10} +(2.37253 - 4.10935i) q^{11} +(-0.0975036 - 0.267889i) q^{12} +(-3.78779 + 3.17833i) q^{13} +(3.39783 - 1.96174i) q^{14} +(0.0345171 + 0.636526i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-0.839038 - 0.704036i) q^{17} +(2.74271 + 0.998264i) q^{18} +(2.10893 - 5.79425i) q^{19} +(-1.01154 + 1.99419i) q^{20} +(0.194227 - 1.10152i) q^{21} +(0.823972 - 4.67298i) q^{22} +(3.19779 + 5.53873i) q^{23} +(-0.183247 - 0.218385i) q^{24} +(3.46022 - 3.60928i) q^{25} +(-2.47230 + 4.28215i) q^{26} +(1.46126 - 0.843660i) q^{27} +(2.52196 - 3.00556i) q^{28} +(-4.58799 - 2.64888i) q^{29} +(0.250140 + 0.586333i) q^{30} +1.56908i q^{31} +(-0.173648 - 0.984808i) q^{32} +(-0.869518 - 1.03625i) q^{33} +(-1.02923 - 0.374610i) q^{34} +(-7.34911 + 4.79155i) q^{35} +2.91873 q^{36} +(1.98952 + 5.74820i) q^{37} -6.16611i q^{38} +(0.482117 + 1.32460i) q^{39} +(-0.268481 + 2.21989i) q^{40} +(-6.32885 + 5.31054i) q^{41} +(-0.194227 - 1.10152i) q^{42} -9.58454 q^{43} +(-0.823972 - 4.67298i) q^{44} +(-6.24475 - 1.89683i) q^{45} +(4.89930 + 4.11100i) q^{46} +(-7.68115 + 4.43471i) q^{47} +(-0.246888 - 0.142541i) q^{48} +(7.88748 - 2.87081i) q^{49} +(2.01709 - 4.57508i) q^{50} +(-0.270413 + 0.156123i) q^{51} +(-0.858621 + 4.86948i) q^{52} +(-2.04234 - 0.360119i) q^{53} +(1.08459 - 1.29256i) q^{54} +(-1.27396 + 10.5335i) q^{55} +(1.34191 - 3.68686i) q^{56} +(-1.34659 - 1.12992i) q^{57} +(-5.21727 - 0.919946i) q^{58} +(-7.40857 - 1.30633i) q^{59} +(0.435593 + 0.465420i) q^{60} +(5.48206 + 6.53326i) q^{61} +(0.536657 + 1.47445i) q^{62} +(9.91735 + 5.72578i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(5.00165 - 9.86048i) q^{65} +(-1.17150 - 0.676365i) q^{66} +(3.23941 - 0.571196i) q^{67} -1.09529 q^{68} +(1.79556 - 0.316606i) q^{69} +(-5.26710 + 7.01613i) q^{70} +(-13.2396 - 4.81882i) q^{71} +(2.74271 - 0.998264i) q^{72} +2.00485i q^{73} +(3.83554 + 4.72108i) q^{74} +(-0.629502 - 1.27887i) q^{75} +(-2.10893 - 5.79425i) q^{76} +(6.36744 - 17.4944i) q^{77} +(0.906083 + 1.07983i) q^{78} +(12.7914 - 2.25546i) q^{79} +(0.506958 + 2.17784i) q^{80} +(1.43697 + 8.14944i) q^{81} +(-4.13086 + 7.15487i) q^{82} +(0.774635 - 0.923174i) q^{83} +(-0.559255 - 0.968659i) q^{84} +(2.34341 + 0.711807i) q^{85} +(-9.00652 + 3.27811i) q^{86} +(-1.15695 + 0.970797i) q^{87} +(-2.37253 - 4.10935i) q^{88} +(-2.09954 - 0.370205i) q^{89} +(-6.51690 + 0.353394i) q^{90} +(-12.4701 + 14.8613i) q^{91} +(6.00988 + 2.18742i) q^{92} +(0.420339 + 0.152991i) q^{93} +(-5.70116 + 6.79437i) q^{94} +(0.746581 + 13.7676i) q^{95} +(-0.280750 - 0.0495039i) q^{96} +(-5.07438 - 8.78908i) q^{97} +(6.42993 - 5.39535i) q^{98} +(13.0143 - 4.73683i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) 0.0975036 0.267889i 0.0562937 0.154666i −0.908358 0.418193i \(-0.862664\pi\)
0.964652 + 0.263527i \(0.0848858\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −2.05672 + 0.877435i −0.919794 + 0.392401i
\(6\) 0.285081i 0.116384i
\(7\) 3.86387 0.681305i 1.46041 0.257509i 0.613687 0.789549i \(-0.289686\pi\)
0.846719 + 0.532040i \(0.178575\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 2.23588 + 1.87612i 0.745292 + 0.625374i
\(10\) −1.63259 + 1.52796i −0.516269 + 0.483183i
\(11\) 2.37253 4.10935i 0.715345 1.23901i −0.247481 0.968893i \(-0.579603\pi\)
0.962826 0.270122i \(-0.0870640\pi\)
\(12\) −0.0975036 0.267889i −0.0281469 0.0773329i
\(13\) −3.78779 + 3.17833i −1.05054 + 0.881510i −0.993151 0.116842i \(-0.962723\pi\)
−0.0573922 + 0.998352i \(0.518279\pi\)
\(14\) 3.39783 1.96174i 0.908109 0.524297i
\(15\) 0.0345171 + 0.636526i 0.00891229 + 0.164350i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −0.839038 0.704036i −0.203497 0.170754i 0.535344 0.844634i \(-0.320182\pi\)
−0.738841 + 0.673880i \(0.764626\pi\)
\(18\) 2.74271 + 0.998264i 0.646462 + 0.235293i
\(19\) 2.10893 5.79425i 0.483823 1.32929i −0.422369 0.906424i \(-0.638801\pi\)
0.906191 0.422868i \(-0.138977\pi\)
\(20\) −1.01154 + 1.99419i −0.226187 + 0.445914i
\(21\) 0.194227 1.10152i 0.0423839 0.240371i
\(22\) 0.823972 4.67298i 0.175671 0.996282i
\(23\) 3.19779 + 5.53873i 0.666785 + 1.15491i 0.978798 + 0.204828i \(0.0656634\pi\)
−0.312013 + 0.950078i \(0.601003\pi\)
\(24\) −0.183247 0.218385i −0.0374051 0.0445777i
\(25\) 3.46022 3.60928i 0.692043 0.721856i
\(26\) −2.47230 + 4.28215i −0.484858 + 0.839799i
\(27\) 1.46126 0.843660i 0.281220 0.162362i
\(28\) 2.52196 3.00556i 0.476606 0.567997i
\(29\) −4.58799 2.64888i −0.851969 0.491884i 0.00934576 0.999956i \(-0.497025\pi\)
−0.861315 + 0.508072i \(0.830358\pi\)
\(30\) 0.250140 + 0.586333i 0.0456692 + 0.107049i
\(31\) 1.56908i 0.281815i 0.990023 + 0.140907i \(0.0450020\pi\)
−0.990023 + 0.140907i \(0.954998\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) −0.869518 1.03625i −0.151364 0.180388i
\(34\) −1.02923 0.374610i −0.176512 0.0642451i
\(35\) −7.34911 + 4.79155i −1.24223 + 0.809920i
\(36\) 2.91873 0.486455
\(37\) 1.98952 + 5.74820i 0.327076 + 0.944998i
\(38\) 6.16611i 1.00028i
\(39\) 0.482117 + 1.32460i 0.0772004 + 0.212106i
\(40\) −0.268481 + 2.21989i −0.0424505 + 0.350996i
\(41\) −6.32885 + 5.31054i −0.988401 + 0.829366i −0.985335 0.170629i \(-0.945420\pi\)
−0.00306512 + 0.999995i \(0.500976\pi\)
\(42\) −0.194227 1.10152i −0.0299699 0.169968i
\(43\) −9.58454 −1.46163 −0.730814 0.682576i \(-0.760859\pi\)
−0.730814 + 0.682576i \(0.760859\pi\)
\(44\) −0.823972 4.67298i −0.124218 0.704478i
\(45\) −6.24475 1.89683i −0.930913 0.282763i
\(46\) 4.89930 + 4.11100i 0.722362 + 0.606134i
\(47\) −7.68115 + 4.43471i −1.12041 + 0.646869i −0.941506 0.336997i \(-0.890589\pi\)
−0.178905 + 0.983866i \(0.557255\pi\)
\(48\) −0.246888 0.142541i −0.0356352 0.0205740i
\(49\) 7.88748 2.87081i 1.12678 0.410115i
\(50\) 2.01709 4.57508i 0.285260 0.647014i
\(51\) −0.270413 + 0.156123i −0.0378653 + 0.0218616i
\(52\) −0.858621 + 4.86948i −0.119069 + 0.675276i
\(53\) −2.04234 0.360119i −0.280537 0.0494662i 0.0316093 0.999500i \(-0.489937\pi\)
−0.312146 + 0.950034i \(0.601048\pi\)
\(54\) 1.08459 1.29256i 0.147594 0.175895i
\(55\) −1.27396 + 10.5335i −0.171781 + 1.42034i
\(56\) 1.34191 3.68686i 0.179320 0.492678i
\(57\) −1.34659 1.12992i −0.178360 0.149662i
\(58\) −5.21727 0.919946i −0.685062 0.120795i
\(59\) −7.40857 1.30633i −0.964514 0.170070i −0.330854 0.943682i \(-0.607337\pi\)
−0.633660 + 0.773612i \(0.718448\pi\)
\(60\) 0.435593 + 0.465420i 0.0562348 + 0.0600855i
\(61\) 5.48206 + 6.53326i 0.701906 + 0.836499i 0.992741 0.120274i \(-0.0383775\pi\)
−0.290835 + 0.956773i \(0.593933\pi\)
\(62\) 0.536657 + 1.47445i 0.0681555 + 0.187256i
\(63\) 9.91735 + 5.72578i 1.24947 + 0.721381i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 5.00165 9.86048i 0.620378 1.22304i
\(66\) −1.17150 0.676365i −0.144201 0.0832548i
\(67\) 3.23941 0.571196i 0.395757 0.0697827i 0.0277719 0.999614i \(-0.491159\pi\)
0.367985 + 0.929832i \(0.380048\pi\)
\(68\) −1.09529 −0.132823
\(69\) 1.79556 0.316606i 0.216160 0.0381149i
\(70\) −5.26710 + 7.01613i −0.629539 + 0.838588i
\(71\) −13.2396 4.81882i −1.57125 0.571889i −0.597973 0.801517i \(-0.704027\pi\)
−0.973278 + 0.229628i \(0.926249\pi\)
\(72\) 2.74271 0.998264i 0.323231 0.117647i
\(73\) 2.00485i 0.234650i 0.993094 + 0.117325i \(0.0374319\pi\)
−0.993094 + 0.117325i \(0.962568\pi\)
\(74\) 3.83554 + 4.72108i 0.445873 + 0.548815i
\(75\) −0.629502 1.27887i −0.0726887 0.147671i
\(76\) −2.10893 5.79425i −0.241911 0.664646i
\(77\) 6.36744 17.4944i 0.725637 1.99367i
\(78\) 0.906083 + 1.07983i 0.102594 + 0.122266i
\(79\) 12.7914 2.25546i 1.43914 0.253760i 0.601016 0.799237i \(-0.294763\pi\)
0.838126 + 0.545477i \(0.183652\pi\)
\(80\) 0.506958 + 2.17784i 0.0566797 + 0.243490i
\(81\) 1.43697 + 8.14944i 0.159663 + 0.905494i
\(82\) −4.13086 + 7.15487i −0.456178 + 0.790123i
\(83\) 0.774635 0.923174i 0.0850272 0.101331i −0.721854 0.692046i \(-0.756710\pi\)
0.806881 + 0.590714i \(0.201154\pi\)
\(84\) −0.559255 0.968659i −0.0610198 0.105689i
\(85\) 2.34341 + 0.711807i 0.254179 + 0.0772063i
\(86\) −9.00652 + 3.27811i −0.971198 + 0.353487i
\(87\) −1.15695 + 0.970797i −0.124038 + 0.104080i
\(88\) −2.37253 4.10935i −0.252913 0.438058i
\(89\) −2.09954 0.370205i −0.222551 0.0392417i 0.0612608 0.998122i \(-0.480488\pi\)
−0.283811 + 0.958880i \(0.591599\pi\)
\(90\) −6.51690 + 0.353394i −0.686942 + 0.0372510i
\(91\) −12.4701 + 14.8613i −1.30722 + 1.55789i
\(92\) 6.00988 + 2.18742i 0.626573 + 0.228054i
\(93\) 0.420339 + 0.152991i 0.0435871 + 0.0158644i
\(94\) −5.70116 + 6.79437i −0.588029 + 0.700786i
\(95\) 0.746581 + 13.7676i 0.0765976 + 1.41253i
\(96\) −0.280750 0.0495039i −0.0286540 0.00505247i
\(97\) −5.07438 8.78908i −0.515225 0.892396i −0.999844 0.0176707i \(-0.994375\pi\)
0.484619 0.874726i \(-0.338958\pi\)
\(98\) 6.42993 5.39535i 0.649521 0.545013i
\(99\) 13.0143 4.73683i 1.30799 0.476069i
\(100\) 0.330680 4.98905i 0.0330680 0.498905i
\(101\) −3.28657 5.69251i −0.327026 0.566426i 0.654894 0.755721i \(-0.272713\pi\)
−0.981920 + 0.189295i \(0.939380\pi\)
\(102\) −0.200708 + 0.239194i −0.0198730 + 0.0236837i
\(103\) −2.51798 + 4.36128i −0.248104 + 0.429729i −0.963000 0.269502i \(-0.913141\pi\)
0.714895 + 0.699231i \(0.246474\pi\)
\(104\) 0.858621 + 4.86948i 0.0841948 + 0.477492i
\(105\) 0.567038 + 2.43594i 0.0553373 + 0.237723i
\(106\) −2.04234 + 0.360119i −0.198370 + 0.0349779i
\(107\) 2.53882 + 3.02565i 0.245437 + 0.292501i 0.874673 0.484714i \(-0.161076\pi\)
−0.629235 + 0.777215i \(0.716632\pi\)
\(108\) 0.577097 1.58556i 0.0555312 0.152571i
\(109\) −3.98834 10.9579i −0.382014 1.04958i −0.970507 0.241073i \(-0.922501\pi\)
0.588493 0.808502i \(-0.299721\pi\)
\(110\) 2.40555 + 10.3340i 0.229360 + 0.985308i
\(111\) 1.73386 + 0.0274984i 0.164571 + 0.00261004i
\(112\) 3.92348i 0.370734i
\(113\) −3.61766 + 1.31672i −0.340321 + 0.123867i −0.506527 0.862224i \(-0.669071\pi\)
0.166205 + 0.986091i \(0.446849\pi\)
\(114\) −1.65183 0.601218i −0.154708 0.0563092i
\(115\) −11.4368 8.58579i −1.06649 0.800629i
\(116\) −5.21727 + 0.919946i −0.484412 + 0.0854148i
\(117\) −14.4320 −1.33423
\(118\) −7.40857 + 1.30633i −0.682014 + 0.120258i
\(119\) −3.72160 2.14866i −0.341158 0.196968i
\(120\) 0.568506 + 0.288370i 0.0518973 + 0.0263245i
\(121\) −5.75782 9.97283i −0.523438 0.906621i
\(122\) 7.38596 + 4.26429i 0.668693 + 0.386070i
\(123\) 0.805548 + 2.21323i 0.0726338 + 0.199560i
\(124\) 1.00858 + 1.20198i 0.0905736 + 0.107941i
\(125\) −3.94980 + 10.4594i −0.353281 + 0.935517i
\(126\) 11.2776 + 1.98854i 1.00469 + 0.177154i
\(127\) 20.7636 + 3.66119i 1.84247 + 0.324878i 0.982615 0.185655i \(-0.0594406\pi\)
0.859858 + 0.510532i \(0.170552\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) −0.934527 + 2.56759i −0.0822805 + 0.226064i
\(130\) 1.32753 10.9765i 0.116432 0.962701i
\(131\) 5.12862 6.11205i 0.448089 0.534012i −0.493961 0.869484i \(-0.664451\pi\)
0.942050 + 0.335472i \(0.108896\pi\)
\(132\) −1.33218 0.234899i −0.115951 0.0204453i
\(133\) 4.20100 23.8251i 0.364273 2.06589i
\(134\) 2.84869 1.64469i 0.246089 0.142080i
\(135\) −2.26515 + 3.01734i −0.194953 + 0.259691i
\(136\) −1.02923 + 0.374610i −0.0882559 + 0.0321225i
\(137\) 0.262746 + 0.151697i 0.0224479 + 0.0129603i 0.511182 0.859473i \(-0.329208\pi\)
−0.488734 + 0.872433i \(0.662541\pi\)
\(138\) 1.57899 0.911630i 0.134413 0.0776031i
\(139\) −2.15395 1.80738i −0.182696 0.153300i 0.546853 0.837228i \(-0.315826\pi\)
−0.729549 + 0.683929i \(0.760270\pi\)
\(140\) −2.54980 + 8.39446i −0.215497 + 0.709461i
\(141\) 0.439071 + 2.49009i 0.0369764 + 0.209704i
\(142\) −14.0893 −1.18235
\(143\) 4.07421 + 23.1060i 0.340703 + 1.93222i
\(144\) 2.23588 1.87612i 0.186323 0.156344i
\(145\) 11.7604 + 1.42235i 0.976652 + 0.118119i
\(146\) 0.685698 + 1.88394i 0.0567488 + 0.155916i
\(147\) 2.39288i 0.197362i
\(148\) 5.21894 + 3.12453i 0.428994 + 0.256835i
\(149\) 15.4881 1.26883 0.634416 0.772992i \(-0.281241\pi\)
0.634416 + 0.772992i \(0.281241\pi\)
\(150\) −1.02894 0.986444i −0.0840125 0.0805428i
\(151\) −3.65851 1.33159i −0.297725 0.108363i 0.188839 0.982008i \(-0.439528\pi\)
−0.486564 + 0.873645i \(0.661750\pi\)
\(152\) −3.96350 4.72351i −0.321482 0.383128i
\(153\) −0.555126 3.14827i −0.0448793 0.254523i
\(154\) 18.6172i 1.50021i
\(155\) −1.37676 3.22716i −0.110584 0.259212i
\(156\) 1.22076 + 0.704807i 0.0977392 + 0.0564297i
\(157\) 7.35127 8.76090i 0.586695 0.699196i −0.388272 0.921545i \(-0.626928\pi\)
0.974967 + 0.222349i \(0.0713724\pi\)
\(158\) 11.2485 6.49435i 0.894886 0.516663i
\(159\) −0.295607 + 0.512007i −0.0234432 + 0.0406048i
\(160\) 1.22125 + 1.87311i 0.0965483 + 0.148082i
\(161\) 16.1294 + 19.2223i 1.27118 + 1.51493i
\(162\) 4.13758 + 7.16650i 0.325079 + 0.563053i
\(163\) −2.37185 + 13.4514i −0.185778 + 1.05360i 0.739175 + 0.673514i \(0.235216\pi\)
−0.924952 + 0.380083i \(0.875895\pi\)
\(164\) −1.43463 + 8.13621i −0.112026 + 0.635332i
\(165\) 2.69760 + 1.36834i 0.210008 + 0.106525i
\(166\) 0.412174 1.13244i 0.0319909 0.0878944i
\(167\) −2.79834 1.01851i −0.216542 0.0788149i 0.231471 0.972842i \(-0.425646\pi\)
−0.448013 + 0.894027i \(0.647868\pi\)
\(168\) −0.856829 0.718965i −0.0661058 0.0554693i
\(169\) 1.98812 11.2752i 0.152932 0.867320i
\(170\) 2.44554 0.132615i 0.187564 0.0101711i
\(171\) 15.5860 8.99860i 1.19189 0.688140i
\(172\) −7.34218 + 6.16082i −0.559836 + 0.469758i
\(173\) −3.81653 10.4858i −0.290166 0.797223i −0.996042 0.0888879i \(-0.971669\pi\)
0.705876 0.708335i \(-0.250554\pi\)
\(174\) −0.755146 + 1.30795i −0.0572475 + 0.0991556i
\(175\) 10.9108 16.3033i 0.824780 1.23241i
\(176\) −3.63493 3.05007i −0.273993 0.229908i
\(177\) −1.07231 + 1.85730i −0.0806001 + 0.139603i
\(178\) −2.09954 + 0.370205i −0.157367 + 0.0277480i
\(179\) 7.04726i 0.526737i 0.964695 + 0.263369i \(0.0848335\pi\)
−0.964695 + 0.263369i \(0.915166\pi\)
\(180\) −6.00302 + 2.56099i −0.447438 + 0.190885i
\(181\) 4.72911 3.96820i 0.351512 0.294954i −0.449885 0.893087i \(-0.648535\pi\)
0.801397 + 0.598133i \(0.204090\pi\)
\(182\) −6.63520 + 18.2301i −0.491834 + 1.35130i
\(183\) 2.28471 0.831566i 0.168891 0.0614712i
\(184\) 6.39558 0.471488
\(185\) −9.13557 10.0768i −0.671660 0.740859i
\(186\) 0.447315 0.0327988
\(187\) −4.88377 + 1.77755i −0.357137 + 0.129987i
\(188\) −3.03352 + 8.33453i −0.221242 + 0.607858i
\(189\) 5.07134 4.25536i 0.368885 0.309532i
\(190\) 5.41036 + 12.6820i 0.392509 + 0.920048i
\(191\) 11.7977i 0.853649i −0.904335 0.426824i \(-0.859632\pi\)
0.904335 0.426824i \(-0.140368\pi\)
\(192\) −0.280750 + 0.0495039i −0.0202614 + 0.00357263i
\(193\) −11.1322 + 19.2816i −0.801315 + 1.38792i 0.117436 + 0.993080i \(0.462532\pi\)
−0.918751 + 0.394837i \(0.870801\pi\)
\(194\) −7.77440 6.52350i −0.558169 0.468360i
\(195\) −2.15383 2.30132i −0.154239 0.164801i
\(196\) 4.19684 7.26914i 0.299774 0.519224i
\(197\) −5.19626 14.2766i −0.370218 1.01717i −0.975277 0.220986i \(-0.929073\pi\)
0.605059 0.796181i \(-0.293150\pi\)
\(198\) 10.6094 8.90232i 0.753975 0.632661i
\(199\) −6.72836 + 3.88462i −0.476961 + 0.275373i −0.719149 0.694856i \(-0.755468\pi\)
0.242188 + 0.970229i \(0.422135\pi\)
\(200\) −1.39562 4.80128i −0.0986852 0.339501i
\(201\) 0.162837 0.923496i 0.0114857 0.0651384i
\(202\) −5.03532 4.22514i −0.354284 0.297280i
\(203\) −19.5321 7.10911i −1.37089 0.498961i
\(204\) −0.106794 + 0.293415i −0.00747710 + 0.0205432i
\(205\) 8.35704 16.4755i 0.583681 1.15070i
\(206\) −0.874487 + 4.95946i −0.0609284 + 0.345542i
\(207\) −3.24148 + 18.3834i −0.225299 + 1.27773i
\(208\) 2.47230 + 4.28215i 0.171423 + 0.296914i
\(209\) −18.8071 22.4134i −1.30091 1.55037i
\(210\) 1.36598 + 2.09510i 0.0942617 + 0.144575i
\(211\) −4.20188 + 7.27787i −0.289269 + 0.501029i −0.973636 0.228109i \(-0.926746\pi\)
0.684366 + 0.729139i \(0.260079\pi\)
\(212\) −1.79600 + 1.03692i −0.123350 + 0.0712161i
\(213\) −2.58182 + 3.07689i −0.176903 + 0.210825i
\(214\) 3.42055 + 1.97485i 0.233824 + 0.134998i
\(215\) 19.7127 8.40981i 1.34440 0.573544i
\(216\) 1.68732i 0.114808i
\(217\) 1.06902 + 6.06272i 0.0725699 + 0.411564i
\(218\) −7.49564 8.93295i −0.507669 0.605016i
\(219\) 0.537076 + 0.195480i 0.0362923 + 0.0132093i
\(220\) 5.79491 + 8.88804i 0.390693 + 0.599231i
\(221\) 5.41575 0.364303
\(222\) 1.63870 0.567177i 0.109983 0.0380664i
\(223\) 10.2334i 0.685281i −0.939467 0.342641i \(-0.888679\pi\)
0.939467 0.342641i \(-0.111321\pi\)
\(224\) −1.34191 3.68686i −0.0896600 0.246339i
\(225\) 14.5081 1.57811i 0.967204 0.105207i
\(226\) −2.94915 + 2.47463i −0.196174 + 0.164610i
\(227\) −0.618230 3.50615i −0.0410333 0.232712i 0.957393 0.288788i \(-0.0932522\pi\)
−0.998426 + 0.0560761i \(0.982141\pi\)
\(228\) −1.75784 −0.116416
\(229\) 4.87308 + 27.6366i 0.322022 + 1.82628i 0.529823 + 0.848108i \(0.322258\pi\)
−0.207801 + 0.978171i \(0.566631\pi\)
\(230\) −13.6836 4.15637i −0.902272 0.274063i
\(231\) −4.06571 3.41153i −0.267504 0.224462i
\(232\) −4.58799 + 2.64888i −0.301217 + 0.173907i
\(233\) 7.21015 + 4.16278i 0.472353 + 0.272713i 0.717224 0.696843i \(-0.245412\pi\)
−0.244871 + 0.969556i \(0.578746\pi\)
\(234\) −13.5616 + 4.93602i −0.886550 + 0.322678i
\(235\) 11.9068 15.8607i 0.776715 1.03464i
\(236\) −6.51499 + 3.76143i −0.424090 + 0.244848i
\(237\) 0.642991 3.64658i 0.0417667 0.236871i
\(238\) −4.23204 0.746223i −0.274323 0.0483705i
\(239\) 4.33602 5.16747i 0.280474 0.334256i −0.607354 0.794431i \(-0.707769\pi\)
0.887828 + 0.460175i \(0.152213\pi\)
\(240\) 0.632850 + 0.0765389i 0.0408503 + 0.00494056i
\(241\) 0.373554 1.02633i 0.0240628 0.0661119i −0.927080 0.374864i \(-0.877689\pi\)
0.951142 + 0.308753i \(0.0999115\pi\)
\(242\) −8.82149 7.40211i −0.567067 0.475826i
\(243\) 7.30831 + 1.28865i 0.468828 + 0.0826671i
\(244\) 8.39900 + 1.48097i 0.537691 + 0.0948094i
\(245\) −13.7034 + 12.8252i −0.875478 + 0.819372i
\(246\) 1.51394 + 1.80424i 0.0965250 + 0.115034i
\(247\) 10.4278 + 28.6503i 0.663508 + 1.82297i
\(248\) 1.35886 + 0.784540i 0.0862879 + 0.0498183i
\(249\) −0.171778 0.297529i −0.0108860 0.0188551i
\(250\) −0.134273 + 11.1795i −0.00849216 + 0.707056i
\(251\) 12.4419 + 7.18334i 0.785326 + 0.453408i 0.838315 0.545187i \(-0.183541\pi\)
−0.0529884 + 0.998595i \(0.516875\pi\)
\(252\) 11.2776 1.98854i 0.710421 0.125266i
\(253\) 30.3474 1.90793
\(254\) 20.7636 3.66119i 1.30283 0.229723i
\(255\) 0.419176 0.558371i 0.0262498 0.0349665i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 9.52557 3.46702i 0.594189 0.216267i −0.0273821 0.999625i \(-0.508717\pi\)
0.621571 + 0.783358i \(0.286495\pi\)
\(258\) 2.73237i 0.170110i
\(259\) 11.6035 + 20.8548i 0.721009 + 1.29586i
\(260\) −2.50671 10.7686i −0.155459 0.667838i
\(261\) −5.28856 14.5302i −0.327354 0.899397i
\(262\) 2.72888 7.49753i 0.168591 0.463199i
\(263\) −16.0636 19.1439i −0.990526 1.18046i −0.983577 0.180487i \(-0.942233\pi\)
−0.00694849 0.999976i \(-0.502212\pi\)
\(264\) −1.33218 + 0.234899i −0.0819899 + 0.0144570i
\(265\) 4.51651 1.05135i 0.277447 0.0645841i
\(266\) −4.20100 23.8251i −0.257580 1.46081i
\(267\) −0.303886 + 0.526347i −0.0185975 + 0.0322119i
\(268\) 2.11438 2.51982i 0.129156 0.153922i
\(269\) 15.1500 + 26.2406i 0.923714 + 1.59992i 0.793616 + 0.608419i \(0.208196\pi\)
0.130098 + 0.991501i \(0.458471\pi\)
\(270\) −1.09656 + 3.61010i −0.0667344 + 0.219703i
\(271\) 14.7429 5.36599i 0.895570 0.325961i 0.147094 0.989123i \(-0.453008\pi\)
0.748476 + 0.663162i \(0.230786\pi\)
\(272\) −0.839038 + 0.704036i −0.0508741 + 0.0426885i
\(273\) 2.76530 + 4.78963i 0.167363 + 0.289882i
\(274\) 0.298784 + 0.0526837i 0.0180502 + 0.00318274i
\(275\) −6.62230 22.7824i −0.399340 1.37383i
\(276\) 1.17197 1.39670i 0.0705442 0.0840714i
\(277\) −24.7469 9.00715i −1.48690 0.541187i −0.534269 0.845315i \(-0.679413\pi\)
−0.952631 + 0.304127i \(0.901635\pi\)
\(278\) −2.64221 0.961687i −0.158469 0.0576781i
\(279\) −2.94379 + 3.50827i −0.176240 + 0.210034i
\(280\) 0.475048 + 8.76029i 0.0283895 + 0.523528i
\(281\) 15.1911 + 2.67859i 0.906223 + 0.159792i 0.607288 0.794482i \(-0.292258\pi\)
0.298935 + 0.954273i \(0.403369\pi\)
\(282\) 1.26425 + 2.18975i 0.0752852 + 0.130398i
\(283\) 20.8128 17.4640i 1.23719 1.03813i 0.239455 0.970907i \(-0.423031\pi\)
0.997738 0.0672212i \(-0.0214133\pi\)
\(284\) −13.2396 + 4.81882i −0.785626 + 0.285944i
\(285\) 3.76099 + 1.14239i 0.222782 + 0.0676694i
\(286\) 11.7312 + 20.3191i 0.693682 + 1.20149i
\(287\) −20.8358 + 24.8311i −1.22990 + 1.46573i
\(288\) 1.45936 2.52769i 0.0859939 0.148946i
\(289\) −2.74370 15.5603i −0.161394 0.915312i
\(290\) 11.5377 2.68574i 0.677516 0.157712i
\(291\) −2.84927 + 0.502403i −0.167027 + 0.0294514i
\(292\) 1.28869 + 1.53580i 0.0754149 + 0.0898760i
\(293\) −6.01964 + 16.5388i −0.351671 + 0.966208i 0.630163 + 0.776463i \(0.282988\pi\)
−0.981833 + 0.189745i \(0.939234\pi\)
\(294\) −0.818414 2.24857i −0.0477308 0.131139i
\(295\) 16.3836 3.81378i 0.953890 0.222047i
\(296\) 5.97285 + 1.15112i 0.347165 + 0.0669075i
\(297\) 8.00644i 0.464581i
\(298\) 14.5540 5.29723i 0.843092 0.306860i
\(299\) −29.7165 10.8159i −1.71855 0.625500i
\(300\) −1.30427 0.575036i −0.0753020 0.0331997i
\(301\) −37.0334 + 6.52999i −2.13457 + 0.376382i
\(302\) −3.89330 −0.224035
\(303\) −1.84541 + 0.325396i −0.106016 + 0.0186935i
\(304\) −5.34001 3.08306i −0.306270 0.176825i
\(305\) −17.0076 8.62697i −0.973852 0.493979i
\(306\) −1.59842 2.76855i −0.0913757 0.158267i
\(307\) −12.6852 7.32379i −0.723981 0.417991i 0.0922351 0.995737i \(-0.470599\pi\)
−0.816216 + 0.577747i \(0.803932\pi\)
\(308\) −6.36744 17.4944i −0.362819 0.996836i
\(309\) 0.922825 + 1.09978i 0.0524977 + 0.0625643i
\(310\) −2.39749 2.56166i −0.136168 0.145492i
\(311\) −7.40264 1.30529i −0.419765 0.0740159i −0.0402239 0.999191i \(-0.512807\pi\)
−0.379541 + 0.925175i \(0.623918\pi\)
\(312\) 1.38820 + 0.244777i 0.0785913 + 0.0138578i
\(313\) 26.1751 + 21.9635i 1.47951 + 1.24145i 0.906711 + 0.421753i \(0.138585\pi\)
0.572795 + 0.819699i \(0.305859\pi\)
\(314\) 3.91153 10.7468i 0.220740 0.606479i
\(315\) −25.4212 3.07453i −1.43232 0.173230i
\(316\) 8.34897 9.94992i 0.469667 0.559727i
\(317\) 12.5100 + 2.20585i 0.702631 + 0.123893i 0.513539 0.858067i \(-0.328334\pi\)
0.189092 + 0.981959i \(0.439445\pi\)
\(318\) −0.102663 + 0.582233i −0.00575708 + 0.0326500i
\(319\) −21.7703 + 12.5691i −1.21890 + 0.703735i
\(320\) 1.78824 + 1.34246i 0.0999658 + 0.0750456i
\(321\) 1.05808 0.385111i 0.0590564 0.0214948i
\(322\) 21.7311 + 12.5465i 1.21103 + 0.699186i
\(323\) −5.84884 + 3.37683i −0.325438 + 0.187892i
\(324\) 6.33914 + 5.31917i 0.352175 + 0.295510i
\(325\) −1.63508 + 24.6689i −0.0906980 + 1.36838i
\(326\) 2.37185 + 13.4514i 0.131365 + 0.745006i
\(327\) −3.32437 −0.183838
\(328\) 1.43463 + 8.13621i 0.0792144 + 0.449247i
\(329\) −26.6576 + 22.3684i −1.46968 + 1.23321i
\(330\) 3.00291 + 0.363182i 0.165305 + 0.0199925i
\(331\) −0.457673 1.25744i −0.0251560 0.0691154i 0.926479 0.376346i \(-0.122820\pi\)
−0.951635 + 0.307231i \(0.900598\pi\)
\(332\) 1.20512i 0.0661394i
\(333\) −6.33600 + 16.5849i −0.347210 + 0.908844i
\(334\) −2.97793 −0.162945
\(335\) −6.16139 + 4.01716i −0.336632 + 0.219481i
\(336\) −1.05106 0.382553i −0.0573398 0.0208700i
\(337\) −22.6970 27.0492i −1.23638 1.47346i −0.828075 0.560618i \(-0.810564\pi\)
−0.408307 0.912845i \(-0.633881\pi\)
\(338\) −1.98812 11.2752i −0.108139 0.613288i
\(339\) 1.09752i 0.0596090i
\(340\) 2.25270 0.961042i 0.122170 0.0521198i
\(341\) 6.44789 + 3.72269i 0.349173 + 0.201595i
\(342\) 11.5684 13.7867i 0.625546 0.745497i
\(343\) 4.73548 2.73403i 0.255692 0.147624i
\(344\) −4.79227 + 8.30045i −0.258382 + 0.447530i
\(345\) −3.41517 + 2.22666i −0.183867 + 0.119879i
\(346\) −7.17273 8.54813i −0.385609 0.459550i
\(347\) 9.73927 + 16.8689i 0.522831 + 0.905570i 0.999647 + 0.0265672i \(0.00845758\pi\)
−0.476816 + 0.879003i \(0.658209\pi\)
\(348\) −0.262260 + 1.48735i −0.0140586 + 0.0797302i
\(349\) −4.79188 + 27.1761i −0.256504 + 1.45470i 0.535680 + 0.844421i \(0.320055\pi\)
−0.792183 + 0.610283i \(0.791056\pi\)
\(350\) 4.67677 19.0518i 0.249984 1.01836i
\(351\) −2.85352 + 7.83997i −0.152309 + 0.418467i
\(352\) −4.45890 1.62291i −0.237660 0.0865013i
\(353\) −13.1539 11.0374i −0.700109 0.587462i 0.221695 0.975116i \(-0.428841\pi\)
−0.921805 + 0.387654i \(0.873285\pi\)
\(354\) −0.372411 + 2.11205i −0.0197934 + 0.112254i
\(355\) 31.4584 1.70590i 1.66964 0.0905400i
\(356\) −1.84630 + 1.06596i −0.0978538 + 0.0564959i
\(357\) −0.938472 + 0.787472i −0.0496692 + 0.0416774i
\(358\) 2.41031 + 6.62226i 0.127389 + 0.349997i
\(359\) −14.2286 + 24.6447i −0.750958 + 1.30070i 0.196401 + 0.980524i \(0.437075\pi\)
−0.947359 + 0.320173i \(0.896259\pi\)
\(360\) −4.76508 + 4.45970i −0.251142 + 0.235047i
\(361\) −14.5709 12.2264i −0.766888 0.643495i
\(362\) 3.08671 5.34634i 0.162234 0.280997i
\(363\) −3.23302 + 0.570069i −0.169690 + 0.0299208i
\(364\) 19.4000i 1.01684i
\(365\) −1.75912 4.12341i −0.0920767 0.215829i
\(366\) 1.86251 1.56283i 0.0973551 0.0816906i
\(367\) 7.39625 20.3210i 0.386081 1.06075i −0.582669 0.812710i \(-0.697991\pi\)
0.968750 0.248040i \(-0.0797864\pi\)
\(368\) 6.00988 2.18742i 0.313286 0.114027i
\(369\) −24.1137 −1.25531
\(370\) −12.0311 6.34452i −0.625466 0.329836i
\(371\) −8.13669 −0.422436
\(372\) 0.420339 0.152991i 0.0217936 0.00793221i
\(373\) −6.69756 + 18.4014i −0.346787 + 0.952788i 0.636589 + 0.771204i \(0.280345\pi\)
−0.983375 + 0.181585i \(0.941877\pi\)
\(374\) −3.98129 + 3.34070i −0.205867 + 0.172743i
\(375\) 2.41684 + 2.07794i 0.124805 + 0.107304i
\(376\) 8.86943i 0.457406i
\(377\) 25.7973 4.54877i 1.32863 0.234273i
\(378\) 3.31008 5.73323i 0.170252 0.294885i
\(379\) −11.7288 9.84161i −0.602467 0.505530i 0.289771 0.957096i \(-0.406421\pi\)
−0.892238 + 0.451566i \(0.850865\pi\)
\(380\) 9.42157 + 10.0667i 0.483316 + 0.516411i
\(381\) 3.00532 5.20537i 0.153967 0.266679i
\(382\) −4.03504 11.0862i −0.206450 0.567218i
\(383\) 0.520356 0.436631i 0.0265890 0.0223108i −0.629396 0.777084i \(-0.716698\pi\)
0.655985 + 0.754774i \(0.272253\pi\)
\(384\) −0.246888 + 0.142541i −0.0125989 + 0.00727400i
\(385\) 2.25413 + 41.5681i 0.114881 + 2.11851i
\(386\) −3.86618 + 21.9262i −0.196783 + 1.11601i
\(387\) −21.4298 17.9818i −1.08934 0.914065i
\(388\) −9.53672 3.47108i −0.484153 0.176217i
\(389\) 0.479563 1.31759i 0.0243148 0.0668044i −0.926941 0.375206i \(-0.877572\pi\)
0.951256 + 0.308402i \(0.0997941\pi\)
\(390\) −2.81104 1.42588i −0.142342 0.0722021i
\(391\) 1.21640 6.89856i 0.0615161 0.348875i
\(392\) 1.45755 8.26616i 0.0736172 0.417504i
\(393\) −1.13729 1.96985i −0.0573687 0.0993656i
\(394\) −9.76578 11.6384i −0.491993 0.586334i
\(395\) −24.3293 + 15.8625i −1.22414 + 0.798127i
\(396\) 6.92478 11.9941i 0.347983 0.602725i
\(397\) −13.5028 + 7.79582i −0.677684 + 0.391261i −0.798982 0.601355i \(-0.794628\pi\)
0.121298 + 0.992616i \(0.461294\pi\)
\(398\) −4.99397 + 5.95158i −0.250325 + 0.298326i
\(399\) −5.97286 3.44843i −0.299017 0.172637i
\(400\) −2.95359 4.03439i −0.147679 0.201720i
\(401\) 26.4483i 1.32076i −0.750930 0.660382i \(-0.770394\pi\)
0.750930 0.660382i \(-0.229606\pi\)
\(402\) −0.162837 0.923496i −0.00812159 0.0460598i
\(403\) −4.98705 5.94334i −0.248423 0.296059i
\(404\) −6.17674 2.24815i −0.307304 0.111850i
\(405\) −10.1060 15.5003i −0.502173 0.770216i
\(406\) −20.7856 −1.03157
\(407\) 28.3416 + 5.46214i 1.40484 + 0.270748i
\(408\) 0.312246i 0.0154585i
\(409\) −4.11109 11.2951i −0.203280 0.558508i 0.795600 0.605823i \(-0.207156\pi\)
−0.998880 + 0.0473148i \(0.984934\pi\)
\(410\) 2.21812 18.3401i 0.109545 0.905755i
\(411\) 0.0662566 0.0555959i 0.00326820 0.00274234i
\(412\) 0.874487 + 4.95946i 0.0430829 + 0.244335i
\(413\) −29.5158 −1.45238
\(414\) 3.24148 + 18.3834i 0.159310 + 0.903493i
\(415\) −0.783184 + 2.57840i −0.0384450 + 0.126569i
\(416\) 3.78779 + 3.17833i 0.185711 + 0.155830i
\(417\) −0.694195 + 0.400794i −0.0339949 + 0.0196270i
\(418\) −25.3387 14.6293i −1.23936 0.715542i
\(419\) 16.8522 6.13371i 0.823285 0.299651i 0.104185 0.994558i \(-0.466777\pi\)
0.719100 + 0.694907i \(0.244554\pi\)
\(420\) 2.00017 + 1.50155i 0.0975982 + 0.0732682i
\(421\) −3.74128 + 2.16003i −0.182339 + 0.105274i −0.588391 0.808576i \(-0.700238\pi\)
0.406052 + 0.913850i \(0.366905\pi\)
\(422\) −1.45930 + 8.27609i −0.0710375 + 0.402874i
\(423\) −25.4942 4.49531i −1.23957 0.218569i
\(424\) −1.33304 + 1.58866i −0.0647383 + 0.0771520i
\(425\) −5.44432 + 0.592203i −0.264088 + 0.0287261i
\(426\) −1.37376 + 3.77436i −0.0665587 + 0.182868i
\(427\) 25.6331 + 21.5087i 1.24047 + 1.04088i
\(428\) 3.88970 + 0.685860i 0.188016 + 0.0331523i
\(429\) 6.58710 + 1.16148i 0.318028 + 0.0560769i
\(430\) 15.6476 14.6448i 0.754594 0.706234i
\(431\) 16.2455 + 19.3606i 0.782516 + 0.932566i 0.999044 0.0437100i \(-0.0139178\pi\)
−0.216528 + 0.976276i \(0.569473\pi\)
\(432\) −0.577097 1.58556i −0.0277656 0.0762854i
\(433\) 5.48945 + 3.16933i 0.263806 + 0.152308i 0.626070 0.779767i \(-0.284663\pi\)
−0.362263 + 0.932076i \(0.617996\pi\)
\(434\) 3.07812 + 5.33147i 0.147755 + 0.255919i
\(435\) 1.52772 3.01181i 0.0732484 0.144405i
\(436\) −10.0988 5.83057i −0.483647 0.279234i
\(437\) 38.8367 6.84796i 1.85781 0.327582i
\(438\) 0.571545 0.0273095
\(439\) 17.6118 3.10544i 0.840567 0.148215i 0.263243 0.964730i \(-0.415208\pi\)
0.577324 + 0.816515i \(0.304097\pi\)
\(440\) 8.48532 + 6.37004i 0.404522 + 0.303680i
\(441\) 23.0214 + 8.37910i 1.09626 + 0.399005i
\(442\) 5.08914 1.85230i 0.242066 0.0881048i
\(443\) 15.2523i 0.724660i 0.932050 + 0.362330i \(0.118019\pi\)
−0.932050 + 0.362330i \(0.881981\pi\)
\(444\) 1.34589 1.09344i 0.0638733 0.0518924i
\(445\) 4.64300 1.08080i 0.220099 0.0512347i
\(446\) −3.50004 9.61628i −0.165732 0.455344i
\(447\) 1.51014 4.14908i 0.0714273 0.196245i
\(448\) −2.52196 3.00556i −0.119152 0.141999i
\(449\) 7.49113 1.32089i 0.353528 0.0623366i 0.00593601 0.999982i \(-0.498110\pi\)
0.347592 + 0.937646i \(0.386999\pi\)
\(450\) 13.0934 6.44499i 0.617228 0.303820i
\(451\) 6.80743 + 38.6069i 0.320549 + 1.81793i
\(452\) −1.92492 + 3.33406i −0.0905406 + 0.156821i
\(453\) −0.713436 + 0.850240i −0.0335201 + 0.0399477i
\(454\) −1.78012 3.08326i −0.0835452 0.144705i
\(455\) 12.6077 41.5073i 0.591060 1.94589i
\(456\) −1.65183 + 0.601218i −0.0773542 + 0.0281546i
\(457\) 15.4206 12.9394i 0.721346 0.605281i −0.206411 0.978465i \(-0.566178\pi\)
0.927757 + 0.373184i \(0.121734\pi\)
\(458\) 14.0315 + 24.3032i 0.655648 + 1.13562i
\(459\) −1.82002 0.320919i −0.0849513 0.0149792i
\(460\) −14.2800 + 0.774365i −0.665807 + 0.0361049i
\(461\) 22.5009 26.8155i 1.04797 1.24892i 0.0802815 0.996772i \(-0.474418\pi\)
0.967688 0.252150i \(-0.0811375\pi\)
\(462\) −4.98733 1.81524i −0.232032 0.0844526i
\(463\) 8.65845 + 3.15142i 0.402393 + 0.146459i 0.535285 0.844672i \(-0.320204\pi\)
−0.132892 + 0.991130i \(0.542426\pi\)
\(464\) −3.40533 + 4.05832i −0.158089 + 0.188403i
\(465\) −0.998760 + 0.0541601i −0.0463164 + 0.00251162i
\(466\) 8.19908 + 1.44572i 0.379815 + 0.0669716i
\(467\) −2.35150 4.07292i −0.108815 0.188472i 0.806476 0.591267i \(-0.201372\pi\)
−0.915290 + 0.402795i \(0.868039\pi\)
\(468\) −11.0555 + 9.27668i −0.511042 + 0.428815i
\(469\) 12.1275 4.41405i 0.559996 0.203822i
\(470\) 5.76408 18.9765i 0.265877 0.875322i
\(471\) −1.63017 2.82354i −0.0751144 0.130102i
\(472\) −4.83560 + 5.76285i −0.222577 + 0.265256i
\(473\) −22.7396 + 39.3862i −1.04557 + 1.81098i
\(474\) −0.642991 3.64658i −0.0295335 0.167493i
\(475\) −13.6157 27.6611i −0.624731 1.26918i
\(476\) −4.23204 + 0.746223i −0.193975 + 0.0342031i
\(477\) −3.89079 4.63686i −0.178147 0.212307i
\(478\) 2.30715 6.33884i 0.105527 0.289932i
\(479\) 11.3868 + 31.2851i 0.520277 + 1.42945i 0.870213 + 0.492677i \(0.163981\pi\)
−0.349935 + 0.936774i \(0.613796\pi\)
\(480\) 0.620862 0.144524i 0.0283383 0.00659660i
\(481\) −25.8056 15.4496i −1.17663 0.704440i
\(482\) 1.09220i 0.0497484i
\(483\) 6.72211 2.44665i 0.305867 0.111326i
\(484\) −10.8212 3.93858i −0.491871 0.179026i
\(485\) 18.1484 + 13.6243i 0.824078 + 0.618646i
\(486\) 7.30831 1.28865i 0.331512 0.0584545i
\(487\) 1.52334 0.0690291 0.0345146 0.999404i \(-0.489011\pi\)
0.0345146 + 0.999404i \(0.489011\pi\)
\(488\) 8.39900 1.48097i 0.380205 0.0670404i
\(489\) 3.37222 + 1.94695i 0.152497 + 0.0880443i
\(490\) −8.49051 + 16.7386i −0.383562 + 0.756172i
\(491\) 7.59131 + 13.1485i 0.342591 + 0.593385i 0.984913 0.173050i \(-0.0553622\pi\)
−0.642322 + 0.766435i \(0.722029\pi\)
\(492\) 2.03972 + 1.17763i 0.0919577 + 0.0530918i
\(493\) 1.98459 + 5.45262i 0.0893815 + 0.245574i
\(494\) 19.5979 + 23.3559i 0.881753 + 1.05083i
\(495\) −22.6106 + 21.1616i −1.01627 + 0.951141i
\(496\) 1.54524 + 0.272468i 0.0693834 + 0.0122342i
\(497\) −54.4392 9.59910i −2.44193 0.430578i
\(498\) −0.263180 0.220834i −0.0117934 0.00989581i
\(499\) 0.571903 1.57129i 0.0256019 0.0703406i −0.926233 0.376951i \(-0.876973\pi\)
0.951835 + 0.306610i \(0.0991948\pi\)
\(500\) 3.69745 + 10.5512i 0.165355 + 0.471866i
\(501\) −0.545697 + 0.650336i −0.0243799 + 0.0290549i
\(502\) 14.1484 + 2.49475i 0.631475 + 0.111346i
\(503\) 5.54967 31.4737i 0.247447 1.40334i −0.567292 0.823517i \(-0.692009\pi\)
0.814740 0.579827i \(-0.196880\pi\)
\(504\) 9.91735 5.72578i 0.441754 0.255047i
\(505\) 11.7544 + 8.82417i 0.523063 + 0.392670i
\(506\) 28.5173 10.3794i 1.26775 0.461422i
\(507\) −2.82664 1.63196i −0.125536 0.0724780i
\(508\) 18.2592 10.5420i 0.810122 0.467724i
\(509\) −19.8629 16.6669i −0.880406 0.738749i 0.0858562 0.996308i \(-0.472637\pi\)
−0.966263 + 0.257559i \(0.917082\pi\)
\(510\) 0.202923 0.668064i 0.00898557 0.0295824i
\(511\) 1.36591 + 7.74647i 0.0604244 + 0.342684i
\(512\) −1.00000 −0.0441942
\(513\) −1.80667 10.2461i −0.0797664 0.452378i
\(514\) 7.76531 6.51587i 0.342513 0.287403i
\(515\) 1.35206 11.1793i 0.0595789 0.492619i
\(516\) 0.934527 + 2.56759i 0.0411403 + 0.113032i
\(517\) 42.0860i 1.85094i
\(518\) 18.0365 + 15.6285i 0.792480 + 0.686676i
\(519\) −3.18116 −0.139638
\(520\) −6.03860 9.26179i −0.264810 0.406157i
\(521\) −8.00476 2.91349i −0.350695 0.127642i 0.160665 0.987009i \(-0.448636\pi\)
−0.511360 + 0.859366i \(0.670858\pi\)
\(522\) −9.93924 11.8451i −0.435029 0.518447i
\(523\) −3.95789 22.4463i −0.173067 0.981510i −0.940352 0.340204i \(-0.889504\pi\)
0.767285 0.641306i \(-0.221607\pi\)
\(524\) 7.97871i 0.348552i
\(525\) −3.30362 4.51251i −0.144182 0.196942i
\(526\) −21.6425 12.4953i −0.943657 0.544820i
\(527\) 1.10469 1.31652i 0.0481210 0.0573484i
\(528\) −1.17150 + 0.676365i −0.0509829 + 0.0294350i
\(529\) −8.95170 + 15.5048i −0.389204 + 0.674122i
\(530\) 3.88454 2.53268i 0.168734 0.110013i
\(531\) −14.1138 16.8202i −0.612487 0.729934i
\(532\) −12.0963 20.9514i −0.524441 0.908359i
\(533\) 7.09370 40.2304i 0.307262 1.74257i
\(534\) −0.105539 + 0.598539i −0.00456710 + 0.0259013i
\(535\) −7.87647 3.99528i −0.340529 0.172731i
\(536\) 1.12504 3.09101i 0.0485942 0.133511i
\(537\) 1.88788 + 0.687133i 0.0814682 + 0.0296520i
\(538\) 23.2112 + 19.4765i 1.00071 + 0.839692i
\(539\) 6.91615 39.2234i 0.297900 1.68947i
\(540\) 0.204298 + 3.76743i 0.00879157 + 0.162124i
\(541\) 1.39356 0.804569i 0.0599136 0.0345911i −0.469744 0.882803i \(-0.655654\pi\)
0.529658 + 0.848212i \(0.322320\pi\)
\(542\) 12.0186 10.0848i 0.516241 0.433178i
\(543\) −0.601931 1.65379i −0.0258313 0.0709710i
\(544\) −0.547643 + 0.948545i −0.0234800 + 0.0406685i
\(545\) 17.8177 + 19.0378i 0.763228 + 0.815491i
\(546\) 4.23668 + 3.55500i 0.181313 + 0.152140i
\(547\) 1.96370 3.40123i 0.0839617 0.145426i −0.820987 0.570947i \(-0.806576\pi\)
0.904948 + 0.425522i \(0.139909\pi\)
\(548\) 0.298784 0.0526837i 0.0127634 0.00225054i
\(549\) 24.8926i 1.06239i
\(550\) −14.0150 19.1435i −0.597600 0.816280i
\(551\) −25.0240 + 20.9977i −1.06606 + 0.894530i
\(552\) 0.623592 1.71330i 0.0265418 0.0729231i
\(553\) 47.8876 17.4296i 2.03639 0.741184i
\(554\) −26.3352 −1.11887
\(555\) −3.59021 + 1.46480i −0.152396 + 0.0621771i
\(556\) −2.81178 −0.119246
\(557\) 11.8932 4.32876i 0.503929 0.183415i −0.0775311 0.996990i \(-0.524704\pi\)
0.581461 + 0.813575i \(0.302481\pi\)
\(558\) −1.56636 + 4.30353i −0.0663091 + 0.182183i
\(559\) 36.3042 30.4628i 1.53550 1.28844i
\(560\) 3.44259 + 8.06951i 0.145476 + 0.340999i
\(561\) 1.48163i 0.0625543i
\(562\) 15.1911 2.67859i 0.640796 0.112990i
\(563\) −2.87439 + 4.97858i −0.121141 + 0.209822i −0.920218 0.391407i \(-0.871989\pi\)
0.799077 + 0.601229i \(0.205322\pi\)
\(564\) 1.93695 + 1.62529i 0.0815603 + 0.0684372i
\(565\) 6.28519 5.88240i 0.264420 0.247474i
\(566\) 13.5846 23.5292i 0.571003 0.989007i
\(567\) 11.1045 + 30.5094i 0.466346 + 1.28127i
\(568\) −10.7930 + 9.05642i −0.452865 + 0.379999i
\(569\) 13.1345 7.58320i 0.550626 0.317904i −0.198748 0.980051i \(-0.563688\pi\)
0.749375 + 0.662146i \(0.230354\pi\)
\(570\) 3.92489 0.212836i 0.164396 0.00891474i
\(571\) 4.01872 22.7913i 0.168178 0.953787i −0.777548 0.628823i \(-0.783537\pi\)
0.945727 0.324963i \(-0.105352\pi\)
\(572\) 17.9733 + 15.0814i 0.751501 + 0.630584i
\(573\) −3.16046 1.15031i −0.132030 0.0480551i
\(574\) −11.0865 + 30.4599i −0.462741 + 1.27137i
\(575\) 31.0559 + 7.62350i 1.29512 + 0.317922i
\(576\) 0.506832 2.87439i 0.0211180 0.119766i
\(577\) 3.50259 19.8642i 0.145815 0.826957i −0.820895 0.571080i \(-0.806525\pi\)
0.966709 0.255877i \(-0.0823642\pi\)
\(578\) −7.90017 13.6835i −0.328604 0.569159i
\(579\) 4.07989 + 4.86222i 0.169554 + 0.202067i
\(580\) 9.92329 6.46989i 0.412042 0.268648i
\(581\) 2.36413 4.09479i 0.0980805 0.169880i
\(582\) −2.50560 + 1.44661i −0.103861 + 0.0599640i
\(583\) −6.32537 + 7.53828i −0.261970 + 0.312204i
\(584\) 1.73625 + 1.00242i 0.0718465 + 0.0414806i
\(585\) 29.6825 12.6631i 1.22722 0.523555i
\(586\) 17.6002i 0.727059i
\(587\) 3.44552 + 19.5405i 0.142212 + 0.806522i 0.969564 + 0.244839i \(0.0787350\pi\)
−0.827352 + 0.561684i \(0.810154\pi\)
\(588\) −1.53811 1.83305i −0.0634308 0.0755938i
\(589\) 9.09164 + 3.30908i 0.374614 + 0.136348i
\(590\) 14.0912 9.18730i 0.580124 0.378235i
\(591\) −4.33120 −0.178162
\(592\) 6.00635 0.961135i 0.246859 0.0395024i
\(593\) 0.646145i 0.0265340i 0.999912 + 0.0132670i \(0.00422314\pi\)
−0.999912 + 0.0132670i \(0.995777\pi\)
\(594\) −2.73836 7.52359i −0.112356 0.308697i
\(595\) 9.53961 + 1.15375i 0.391086 + 0.0472991i
\(596\) 11.8645 9.95554i 0.485991 0.407795i
\(597\) 0.384607 + 2.18122i 0.0157409 + 0.0892713i
\(598\) −31.6236 −1.29318
\(599\) 3.00165 + 17.0232i 0.122644 + 0.695549i 0.982679 + 0.185315i \(0.0593304\pi\)
−0.860035 + 0.510235i \(0.829558\pi\)
\(600\) −1.42229 0.0942707i −0.0580646 0.00384859i
\(601\) 8.56335 + 7.18550i 0.349306 + 0.293103i 0.800511 0.599318i \(-0.204561\pi\)
−0.451205 + 0.892420i \(0.649006\pi\)
\(602\) −32.5666 + 18.8024i −1.32732 + 0.766327i
\(603\) 8.31456 + 4.80041i 0.338595 + 0.195488i
\(604\) −3.65851 + 1.33159i −0.148863 + 0.0541816i
\(605\) 20.5927 + 15.4592i 0.837214 + 0.628508i
\(606\) −1.62283 + 0.936941i −0.0659229 + 0.0380606i
\(607\) 1.43293 8.12655i 0.0581608 0.329846i −0.941820 0.336119i \(-0.890886\pi\)
0.999980 + 0.00627265i \(0.00199666\pi\)
\(608\) −6.07243 1.07073i −0.246270 0.0434240i
\(609\) −3.80890 + 4.53927i −0.154344 + 0.183941i
\(610\) −18.9325 2.28976i −0.766555 0.0927096i
\(611\) 14.9996 41.2110i 0.606817 1.66722i
\(612\) −2.44892 2.05489i −0.0989919 0.0830640i
\(613\) 24.8365 + 4.37934i 1.00313 + 0.176880i 0.651007 0.759072i \(-0.274347\pi\)
0.352128 + 0.935952i \(0.385458\pi\)
\(614\) −14.4250 2.54353i −0.582148 0.102648i
\(615\) −3.59875 3.84518i −0.145116 0.155052i
\(616\) −11.9669 14.2616i −0.482159 0.574615i
\(617\) 1.85891 + 5.10733i 0.0748371 + 0.205613i 0.971470 0.237161i \(-0.0762167\pi\)
−0.896633 + 0.442774i \(0.853995\pi\)
\(618\) 1.24332 + 0.717831i 0.0500136 + 0.0288754i
\(619\) −0.0863495 0.149562i −0.00347068 0.00601139i 0.864285 0.503003i \(-0.167771\pi\)
−0.867756 + 0.496991i \(0.834438\pi\)
\(620\) −3.12904 1.58718i −0.125665 0.0637428i
\(621\) 9.34561 + 5.39569i 0.375026 + 0.216522i
\(622\) −7.40264 + 1.30529i −0.296819 + 0.0523372i
\(623\) −8.36457 −0.335119
\(624\) 1.38820 0.244777i 0.0555724 0.00979892i
\(625\) −1.05379 24.9778i −0.0421518 0.999111i
\(626\) 32.1085 + 11.6866i 1.28332 + 0.467089i
\(627\) −7.83805 + 2.85282i −0.313022 + 0.113931i
\(628\) 11.4365i 0.456368i
\(629\) 2.37765 6.22365i 0.0948033 0.248153i
\(630\) −24.9397 + 5.80547i −0.993621 + 0.231295i
\(631\) −5.37382 14.7644i −0.213928 0.587763i 0.785592 0.618745i \(-0.212359\pi\)
−0.999520 + 0.0309822i \(0.990136\pi\)
\(632\) 4.44240 12.2054i 0.176709 0.485504i
\(633\) 1.53996 + 1.83526i 0.0612080 + 0.0729449i
\(634\) 12.5100 2.20585i 0.496835 0.0876054i
\(635\) −45.9175 + 10.6887i −1.82218 + 0.424167i
\(636\) 0.102663 + 0.582233i 0.00407087 + 0.0230870i
\(637\) −20.7517 + 35.9430i −0.822212 + 1.42411i
\(638\) −16.1585 + 19.2570i −0.639722 + 0.762391i
\(639\) −20.5614 35.6134i −0.813396 1.40884i
\(640\) 2.13955 + 0.649882i 0.0845729 + 0.0256888i
\(641\) 28.5555 10.3933i 1.12787 0.410513i 0.290354 0.956919i \(-0.406227\pi\)
0.837520 + 0.546407i \(0.184005\pi\)
\(642\) 0.862557 0.723772i 0.0340424 0.0285650i
\(643\) −8.00273 13.8611i −0.315597 0.546630i 0.663967 0.747762i \(-0.268871\pi\)
−0.979564 + 0.201132i \(0.935538\pi\)
\(644\) 24.7117 + 4.35734i 0.973777 + 0.171703i
\(645\) −0.330831 6.10081i −0.0130265 0.240219i
\(646\) −4.34117 + 5.17360i −0.170801 + 0.203553i
\(647\) 21.5776 + 7.85359i 0.848301 + 0.308756i 0.729347 0.684143i \(-0.239824\pi\)
0.118954 + 0.992900i \(0.462046\pi\)
\(648\) 7.77611 + 2.83027i 0.305474 + 0.111184i
\(649\) −22.9452 + 27.3451i −0.900680 + 1.07339i
\(650\) 6.90078 + 23.7404i 0.270671 + 0.931175i
\(651\) 1.72837 + 0.304758i 0.0677401 + 0.0119444i
\(652\) 6.82947 + 11.8290i 0.267463 + 0.463259i
\(653\) −12.0815 + 10.1376i −0.472784 + 0.396713i −0.847809 0.530302i \(-0.822079\pi\)
0.375025 + 0.927015i \(0.377634\pi\)
\(654\) −3.12389 + 1.13700i −0.122154 + 0.0444603i
\(655\) −5.18522 + 17.0708i −0.202603 + 0.667012i
\(656\) 4.13086 + 7.15487i 0.161283 + 0.279351i
\(657\) −3.76134 + 4.48259i −0.146744 + 0.174882i
\(658\) −17.3995 + 30.1368i −0.678303 + 1.17486i
\(659\) 2.22149 + 12.5987i 0.0865368 + 0.490775i 0.997014 + 0.0772162i \(0.0246032\pi\)
−0.910478 + 0.413558i \(0.864286\pi\)
\(660\) 2.94603 0.685777i 0.114674 0.0266939i
\(661\) −30.2384 + 5.33185i −1.17614 + 0.207385i −0.727359 0.686258i \(-0.759252\pi\)
−0.448780 + 0.893642i \(0.648141\pi\)
\(662\) −0.860143 1.02508i −0.0334304 0.0398408i
\(663\) 0.528055 1.45082i 0.0205080 0.0563452i
\(664\) −0.412174 1.13244i −0.0159955 0.0439472i
\(665\) 12.2646 + 52.6876i 0.475602 + 2.04314i
\(666\) −0.281535 + 17.7517i −0.0109093 + 0.687864i
\(667\) 33.8822i 1.31192i
\(668\) −2.79834 + 1.01851i −0.108271 + 0.0394075i
\(669\) −2.74142 0.997796i −0.105990 0.0385770i
\(670\) −4.41586 + 5.88222i −0.170599 + 0.227250i
\(671\) 39.8538 7.02730i 1.53854 0.271286i
\(672\) −1.11851 −0.0431475
\(673\) 9.84612 1.73614i 0.379540 0.0669231i 0.0193762 0.999812i \(-0.493832\pi\)
0.360164 + 0.932889i \(0.382721\pi\)
\(674\) −30.5795 17.6551i −1.17788 0.680049i
\(675\) 2.01128 8.19335i 0.0774142 0.315362i
\(676\) −5.72455 9.91521i −0.220175 0.381354i
\(677\) −31.4632 18.1653i −1.20923 0.698148i −0.246637 0.969108i \(-0.579326\pi\)
−0.962591 + 0.270960i \(0.912659\pi\)
\(678\) 0.375373 + 1.03133i 0.0144161 + 0.0396079i
\(679\) −25.5948 30.5027i −0.982238 1.17059i
\(680\) 1.78815 1.67355i 0.0685724 0.0641778i
\(681\) −0.999539 0.176246i −0.0383024 0.00675375i
\(682\) 7.33227 + 1.29288i 0.280767 + 0.0495068i
\(683\) −32.9756 27.6698i −1.26178 1.05876i −0.995490 0.0948615i \(-0.969759\pi\)
−0.266285 0.963894i \(-0.585796\pi\)
\(684\) 6.15541 16.9118i 0.235358 0.646640i
\(685\) −0.673500 0.0814553i −0.0257331 0.00311225i
\(686\) 3.51480 4.18877i 0.134196 0.159928i
\(687\) 7.87869 + 1.38923i 0.300591 + 0.0530022i
\(688\) −1.66434 + 9.43893i −0.0634523 + 0.359856i
\(689\) 8.88052 5.12717i 0.338321 0.195330i
\(690\) −2.44765 + 3.26043i −0.0931804 + 0.124122i
\(691\) −10.9649 + 3.99089i −0.417124 + 0.151821i −0.542052 0.840345i \(-0.682352\pi\)
0.124928 + 0.992166i \(0.460130\pi\)
\(692\) −9.66380 5.57940i −0.367362 0.212097i
\(693\) 47.0585 27.1692i 1.78760 1.03207i
\(694\) 14.9214 + 12.5206i 0.566410 + 0.475274i
\(695\) 6.01594 + 1.82733i 0.228198 + 0.0693145i
\(696\) 0.262260 + 1.48735i 0.00994092 + 0.0563778i
\(697\) 9.04895 0.342754
\(698\) 4.79188 + 27.1761i 0.181375 + 1.02863i
\(699\) 1.81818 1.52563i 0.0687698 0.0577047i
\(700\) −2.12136 19.5024i −0.0801799 0.737120i
\(701\) −0.621922 1.70872i −0.0234897 0.0645374i 0.927394 0.374087i \(-0.122044\pi\)
−0.950883 + 0.309550i \(0.899822\pi\)
\(702\) 8.34313i 0.314891i
\(703\) 37.5023 + 0.594772i 1.41442 + 0.0224322i
\(704\) −4.74506 −0.178836
\(705\) −3.08794 4.73618i −0.116299 0.178375i
\(706\) −16.1356 5.87288i −0.607271 0.221029i
\(707\) −16.5772 19.7560i −0.623451 0.743000i
\(708\) 0.372411 + 2.11205i 0.0139961 + 0.0793756i
\(709\) 12.1416i 0.455988i 0.973663 + 0.227994i \(0.0732167\pi\)
−0.973663 + 0.227994i \(0.926783\pi\)
\(710\) 28.9778 12.3624i 1.08752 0.463954i
\(711\) 32.8314 + 18.9552i 1.23128 + 0.710877i
\(712\) −1.37038 + 1.63315i −0.0513570 + 0.0612049i
\(713\) −8.69071 + 5.01758i −0.325470 + 0.187910i
\(714\) −0.612544 + 1.06096i −0.0229239 + 0.0397054i
\(715\) −28.6535 43.9478i −1.07158 1.64355i
\(716\) 4.52989 + 5.39852i 0.169290 + 0.201752i
\(717\) −0.961530 1.66542i −0.0359090 0.0621962i
\(718\) −4.94155 + 28.0249i −0.184417 + 1.04588i
\(719\) 1.73099 9.81691i 0.0645549 0.366109i −0.935368 0.353676i \(-0.884931\pi\)
0.999923 0.0124324i \(-0.00395747\pi\)
\(720\) −2.95240 + 5.82050i −0.110030 + 0.216917i
\(721\) −6.75781 + 18.5669i −0.251674 + 0.691469i
\(722\) −17.8738 6.50554i −0.665195 0.242111i
\(723\) −0.238520 0.200142i −0.00887066 0.00744337i
\(724\) 1.07200 6.07963i 0.0398407 0.225948i
\(725\) −25.4360 + 7.39365i −0.944669 + 0.274593i
\(726\) −2.84307 + 1.64145i −0.105516 + 0.0609198i
\(727\) 0.172933 0.145108i 0.00641373 0.00538176i −0.639575 0.768729i \(-0.720890\pi\)
0.645989 + 0.763347i \(0.276445\pi\)
\(728\) 6.63520 + 18.2301i 0.245917 + 0.675652i
\(729\) −11.3549 + 19.6673i −0.420553 + 0.728420i
\(730\) −3.06333 3.27309i −0.113379 0.121142i
\(731\) 8.04179 + 6.74786i 0.297436 + 0.249579i
\(732\) 1.21567 2.10560i 0.0449324 0.0778252i
\(733\) −25.4959 + 4.49561i −0.941712 + 0.166049i −0.623370 0.781927i \(-0.714237\pi\)
−0.318342 + 0.947976i \(0.603126\pi\)
\(734\) 21.6252i 0.798201i
\(735\) 2.09960 + 4.92149i 0.0774448 + 0.181532i
\(736\) 4.89930 4.11100i 0.180590 0.151533i
\(737\) 5.33837 14.6670i 0.196641 0.540268i
\(738\) −22.6595 + 8.24739i −0.834108 + 0.303590i
\(739\) 11.8002 0.434078 0.217039 0.976163i \(-0.430360\pi\)
0.217039 + 0.976163i \(0.430360\pi\)
\(740\) −13.4755 1.84703i −0.495368 0.0678980i
\(741\) 8.69184 0.319303
\(742\) −7.64598 + 2.78291i −0.280693 + 0.102164i
\(743\) 12.3498 33.9309i 0.453071 1.24480i −0.477481 0.878642i \(-0.658450\pi\)
0.930552 0.366160i \(-0.119328\pi\)
\(744\) 0.342663 0.287529i 0.0125627 0.0105413i
\(745\) −31.8547 + 13.5898i −1.16706 + 0.497890i
\(746\) 19.5824i 0.716961i
\(747\) 3.46397 0.610792i 0.126740 0.0223477i
\(748\) −2.59860 + 4.50091i −0.0950143 + 0.164570i
\(749\) 11.8711 + 9.96102i 0.433760 + 0.363968i
\(750\) 2.98178 + 1.12601i 0.108879 + 0.0411162i
\(751\) −6.67772 + 11.5662i −0.243674 + 0.422055i −0.961758 0.273901i \(-0.911686\pi\)
0.718084 + 0.695956i \(0.245019\pi\)
\(752\) 3.03352 + 8.33453i 0.110621 + 0.303929i
\(753\) 3.13747 2.63265i 0.114336 0.0959390i
\(754\) 22.6858 13.0977i 0.826168 0.476989i
\(755\) 8.69292 0.471394i 0.316368 0.0171558i
\(756\) 1.14958 6.51959i 0.0418098 0.237115i
\(757\) −4.74878 3.98470i −0.172597 0.144826i 0.552397 0.833581i \(-0.313713\pi\)
−0.724994 + 0.688755i \(0.758158\pi\)
\(758\) −14.3875 5.23661i −0.522577 0.190202i
\(759\) 2.95898 8.12974i 0.107404 0.295091i
\(760\) 12.2964 + 6.23725i 0.446037 + 0.226249i
\(761\) −5.25326 + 29.7927i −0.190431 + 1.07999i 0.728347 + 0.685209i \(0.240289\pi\)
−0.918777 + 0.394776i \(0.870822\pi\)
\(762\) 1.04374 5.91932i 0.0378106 0.214434i
\(763\) −22.8761 39.6226i −0.828171 1.43443i
\(764\) −7.58339 9.03753i −0.274357 0.326966i
\(765\) 3.90415 + 5.98804i 0.141155 + 0.216498i
\(766\) 0.339639 0.588271i 0.0122716 0.0212551i
\(767\) 32.2140 18.5988i 1.16318 0.671563i
\(768\) −0.183247 + 0.218385i −0.00661235 + 0.00788029i
\(769\) −31.0106 17.9040i −1.11827 0.645634i −0.177312 0.984155i \(-0.556740\pi\)
−0.940959 + 0.338521i \(0.890073\pi\)
\(770\) 16.3353 + 38.2903i 0.588685 + 1.37989i
\(771\) 2.88984i 0.104075i
\(772\)