Properties

Label 128.3.l.a.3.9
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.9
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39308 + 1.43504i) q^{2} +(0.447688 - 0.367408i) q^{3} +(-0.118660 - 3.99824i) q^{4} +(-2.47385 - 0.750435i) q^{5} +(-0.0964209 + 1.15428i) q^{6} +(0.987061 + 4.96229i) q^{7} +(5.90292 + 5.39958i) q^{8} +(-1.69038 + 8.49810i) q^{9} +O(q^{10})\) \(q+(-1.39308 + 1.43504i) q^{2} +(0.447688 - 0.367408i) q^{3} +(-0.118660 - 3.99824i) q^{4} +(-2.47385 - 0.750435i) q^{5} +(-0.0964209 + 1.15428i) q^{6} +(0.987061 + 4.96229i) q^{7} +(5.90292 + 5.39958i) q^{8} +(-1.69038 + 8.49810i) q^{9} +(4.52318 - 2.50465i) q^{10} +(0.355541 + 3.60986i) q^{11} +(-1.52211 - 1.74637i) q^{12} +(6.50922 + 21.4580i) q^{13} +(-8.49613 - 5.49640i) q^{14} +(-1.38323 + 0.572953i) q^{15} +(-15.9718 + 0.948863i) q^{16} +(9.43380 - 22.7752i) q^{17} +(-9.84025 - 14.2643i) q^{18} +(-13.6843 + 25.6016i) q^{19} +(-2.70687 + 9.98011i) q^{20} +(2.26508 + 1.85891i) q^{21} +(-5.67558 - 4.51861i) q^{22} +(-6.73776 + 4.50203i) q^{23} +(4.62652 + 0.248547i) q^{24} +(-15.2299 - 10.1763i) q^{25} +(-39.8609 - 20.5517i) q^{26} +(4.82259 + 9.02243i) q^{27} +(19.7233 - 4.53533i) q^{28} +(0.212124 - 2.15373i) q^{29} +(1.10474 - 2.78316i) q^{30} +(36.6146 + 36.6146i) q^{31} +(20.8884 - 24.2420i) q^{32} +(1.48547 + 1.48547i) q^{33} +(19.5412 + 45.2655i) q^{34} +(1.28203 - 13.0167i) q^{35} +(34.1780 + 5.75015i) q^{36} +(-10.2620 - 19.1989i) q^{37} +(-17.6759 - 55.3026i) q^{38} +(10.7979 + 7.21496i) q^{39} +(-10.5509 - 17.7875i) q^{40} +(63.1162 - 42.1729i) q^{41} +(-5.82304 + 0.660874i) q^{42} +(-35.7546 - 29.3430i) q^{43} +(14.3909 - 1.84988i) q^{44} +(10.5590 - 19.7545i) q^{45} +(2.92566 - 15.9406i) q^{46} +(-15.2774 + 36.8829i) q^{47} +(-6.80178 + 6.29298i) q^{48} +(21.6200 - 8.95532i) q^{49} +(35.8199 - 7.67910i) q^{50} +(-4.14440 - 13.6622i) q^{51} +(85.0219 - 28.5716i) q^{52} +(1.07836 + 10.9488i) q^{53} +(-19.6658 - 5.64837i) q^{54} +(1.82941 - 9.19709i) q^{55} +(-20.9678 + 34.6217i) q^{56} +(3.27992 + 16.4893i) q^{57} +(2.79517 + 3.30472i) q^{58} +(-55.6877 - 16.8927i) q^{59} +(2.45494 + 5.46250i) q^{60} +(12.5610 - 10.3085i) q^{61} +(-103.550 + 1.53625i) q^{62} -43.8386 q^{63} +(5.68900 + 63.7466i) q^{64} -57.9687i q^{65} +(-4.20107 + 0.0623261i) q^{66} +(58.9442 + 71.8237i) q^{67} +(-92.1801 - 35.0161i) q^{68} +(-1.36233 + 4.49101i) q^{69} +(16.8935 + 19.9731i) q^{70} +(50.6193 - 10.0688i) q^{71} +(-55.8644 + 41.0363i) q^{72} +(-60.4009 - 12.0145i) q^{73} +(41.8469 + 12.0192i) q^{74} +(-10.5571 + 1.03979i) q^{75} +(103.985 + 51.6754i) q^{76} +(-17.5623 + 5.32745i) q^{77} +(-25.3961 + 5.44444i) q^{78} +(6.16159 + 14.8754i) q^{79} +(40.2241 + 9.63848i) q^{80} +(-66.5714 - 27.5748i) q^{81} +(-27.4062 + 149.324i) q^{82} +(-90.7299 - 48.4961i) q^{83} +(7.16357 - 9.27692i) q^{84} +(-40.4292 + 49.2631i) q^{85} +(91.9172 - 10.4320i) q^{86} +(-0.696332 - 1.04213i) q^{87} +(-17.3930 + 23.2285i) q^{88} +(-4.77326 + 7.14369i) q^{89} +(13.6389 + 42.6722i) q^{90} +(-100.056 + 53.4810i) q^{91} +(18.7997 + 26.4050i) q^{92} +(29.8445 + 2.93942i) q^{93} +(-31.6457 - 73.3045i) q^{94} +(53.0654 - 53.0654i) q^{95} +(0.444768 - 18.5274i) q^{96} +(107.677 - 107.677i) q^{97} +(-17.2672 + 43.5010i) q^{98} +(-31.2780 - 3.08061i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39308 + 1.43504i −0.696540 + 0.717518i
\(3\) 0.447688 0.367408i 0.149229 0.122469i −0.556816 0.830636i \(-0.687977\pi\)
0.706046 + 0.708166i \(0.250477\pi\)
\(4\) −0.118660 3.99824i −0.0296650 0.999560i
\(5\) −2.47385 0.750435i −0.494771 0.150087i 0.0330316 0.999454i \(-0.489484\pi\)
−0.527802 + 0.849367i \(0.676984\pi\)
\(6\) −0.0964209 + 1.15428i −0.0160702 + 0.192380i
\(7\) 0.987061 + 4.96229i 0.141009 + 0.708899i 0.985002 + 0.172545i \(0.0551989\pi\)
−0.843993 + 0.536354i \(0.819801\pi\)
\(8\) 5.90292 + 5.39958i 0.737865 + 0.674948i
\(9\) −1.69038 + 8.49810i −0.187820 + 0.944233i
\(10\) 4.52318 2.50465i 0.452318 0.250465i
\(11\) 0.355541 + 3.60986i 0.0323219 + 0.328169i 0.997725 + 0.0674091i \(0.0214733\pi\)
−0.965404 + 0.260760i \(0.916027\pi\)
\(12\) −1.52211 1.74637i −0.126842 0.145531i
\(13\) 6.50922 + 21.4580i 0.500709 + 1.65062i 0.734711 + 0.678380i \(0.237318\pi\)
−0.234002 + 0.972236i \(0.575182\pi\)
\(14\) −8.49613 5.49640i −0.606866 0.392600i
\(15\) −1.38323 + 0.572953i −0.0922154 + 0.0381969i
\(16\) −15.9718 + 0.948863i −0.998240 + 0.0593039i
\(17\) 9.43380 22.7752i 0.554929 1.33972i −0.358808 0.933412i \(-0.616817\pi\)
0.913737 0.406306i \(-0.133183\pi\)
\(18\) −9.84025 14.2643i −0.546681 0.792460i
\(19\) −13.6843 + 25.6016i −0.720229 + 1.34745i 0.208988 + 0.977918i \(0.432983\pi\)
−0.929217 + 0.369535i \(0.879517\pi\)
\(20\) −2.70687 + 9.98011i −0.135344 + 0.499005i
\(21\) 2.26508 + 1.85891i 0.107861 + 0.0885193i
\(22\) −5.67558 4.51861i −0.257981 0.205392i
\(23\) −6.73776 + 4.50203i −0.292946 + 0.195740i −0.693355 0.720596i \(-0.743868\pi\)
0.400409 + 0.916337i \(0.368868\pi\)
\(24\) 4.62652 + 0.248547i 0.192772 + 0.0103561i
\(25\) −15.2299 10.1763i −0.609198 0.407053i
\(26\) −39.8609 20.5517i −1.53311 0.790452i
\(27\) 4.82259 + 9.02243i 0.178614 + 0.334164i
\(28\) 19.7233 4.53533i 0.704404 0.161976i
\(29\) 0.212124 2.15373i 0.00731461 0.0742665i −0.990834 0.135082i \(-0.956870\pi\)
0.998149 + 0.0608157i \(0.0193702\pi\)
\(30\) 1.10474 2.78316i 0.0368247 0.0927719i
\(31\) 36.6146 + 36.6146i 1.18112 + 1.18112i 0.979455 + 0.201663i \(0.0646345\pi\)
0.201663 + 0.979455i \(0.435366\pi\)
\(32\) 20.8884 24.2420i 0.652762 0.757563i
\(33\) 1.48547 + 1.48547i 0.0450141 + 0.0450141i
\(34\) 19.5412 + 45.2655i 0.574742 + 1.33134i
\(35\) 1.28203 13.0167i 0.0366295 0.371906i
\(36\) 34.1780 + 5.75015i 0.949389 + 0.159726i
\(37\) −10.2620 19.1989i −0.277352 0.518889i 0.704220 0.709982i \(-0.251297\pi\)
−0.981572 + 0.191093i \(0.938797\pi\)
\(38\) −17.6759 55.3026i −0.465154 1.45533i
\(39\) 10.7979 + 7.21496i 0.276870 + 0.184999i
\(40\) −10.5509 17.7875i −0.263773 0.444689i
\(41\) 63.1162 42.1729i 1.53942 1.02861i 0.559592 0.828768i \(-0.310958\pi\)
0.979829 0.199839i \(-0.0640421\pi\)
\(42\) −5.82304 + 0.660874i −0.138644 + 0.0157351i
\(43\) −35.7546 29.3430i −0.831501 0.682395i 0.119076 0.992885i \(-0.462007\pi\)
−0.950577 + 0.310490i \(0.899507\pi\)
\(44\) 14.3909 1.84988i 0.327066 0.0420428i
\(45\) 10.5590 19.7545i 0.234645 0.438990i
\(46\) 2.92566 15.9406i 0.0636013 0.346535i
\(47\) −15.2774 + 36.8829i −0.325051 + 0.784743i 0.673894 + 0.738828i \(0.264620\pi\)
−0.998945 + 0.0459151i \(0.985380\pi\)
\(48\) −6.80178 + 6.29298i −0.141704 + 0.131104i
\(49\) 21.6200 8.95532i 0.441225 0.182762i
\(50\) 35.8199 7.67910i 0.716398 0.153582i
\(51\) −4.14440 13.6622i −0.0812627 0.267887i
\(52\) 85.0219 28.5716i 1.63504 0.549454i
\(53\) 1.07836 + 10.9488i 0.0203464 + 0.206581i 0.999983 + 0.00580265i \(0.00184705\pi\)
−0.979637 + 0.200778i \(0.935653\pi\)
\(54\) −19.6658 5.64837i −0.364181 0.104599i
\(55\) 1.82941 9.19709i 0.0332621 0.167220i
\(56\) −20.9678 + 34.6217i −0.374424 + 0.618245i
\(57\) 3.27992 + 16.4893i 0.0575425 + 0.289286i
\(58\) 2.79517 + 3.30472i 0.0481926 + 0.0569779i
\(59\) −55.6877 16.8927i −0.943859 0.286316i −0.219400 0.975635i \(-0.570410\pi\)
−0.724458 + 0.689318i \(0.757910\pi\)
\(60\) 2.45494 + 5.46250i 0.0409156 + 0.0910417i
\(61\) 12.5610 10.3085i 0.205917 0.168992i −0.525782 0.850619i \(-0.676227\pi\)
0.731700 + 0.681627i \(0.238727\pi\)
\(62\) −103.550 + 1.53625i −1.67017 + 0.0247783i
\(63\) −43.8386 −0.695850
\(64\) 5.68900 + 63.7466i 0.0888906 + 0.996041i
\(65\) 57.9687i 0.891826i
\(66\) −4.20107 + 0.0623261i −0.0636525 + 0.000944335i
\(67\) 58.9442 + 71.8237i 0.879764 + 1.07200i 0.996884 + 0.0788776i \(0.0251336\pi\)
−0.117121 + 0.993118i \(0.537366\pi\)
\(68\) −92.1801 35.0161i −1.35559 0.514942i
\(69\) −1.36233 + 4.49101i −0.0197440 + 0.0650871i
\(70\) 16.8935 + 19.9731i 0.241335 + 0.285330i
\(71\) 50.6193 10.0688i 0.712948 0.141814i 0.174726 0.984617i \(-0.444096\pi\)
0.538222 + 0.842803i \(0.319096\pi\)
\(72\) −55.8644 + 41.0363i −0.775894 + 0.569949i
\(73\) −60.4009 12.0145i −0.827409 0.164582i −0.236819 0.971554i \(-0.576105\pi\)
−0.590590 + 0.806972i \(0.701105\pi\)
\(74\) 41.8469 + 12.0192i 0.565498 + 0.162422i
\(75\) −10.5571 + 1.03979i −0.140762 + 0.0138638i
\(76\) 103.985 + 51.6754i 1.36823 + 0.679940i
\(77\) −17.5623 + 5.32745i −0.228081 + 0.0691877i
\(78\) −25.3961 + 5.44444i −0.325591 + 0.0698005i
\(79\) 6.16159 + 14.8754i 0.0779948 + 0.188296i 0.958067 0.286543i \(-0.0925062\pi\)
−0.880073 + 0.474839i \(0.842506\pi\)
\(80\) 40.2241 + 9.63848i 0.502801 + 0.120481i
\(81\) −66.5714 27.5748i −0.821869 0.340429i
\(82\) −27.4062 + 149.324i −0.334222 + 1.82103i
\(83\) −90.7299 48.4961i −1.09313 0.584291i −0.176612 0.984281i \(-0.556514\pi\)
−0.916520 + 0.399990i \(0.869014\pi\)
\(84\) 7.16357 9.27692i 0.0852806 0.110440i
\(85\) −40.4292 + 49.2631i −0.475637 + 0.579565i
\(86\) 91.9172 10.4320i 1.06880 0.121302i
\(87\) −0.696332 1.04213i −0.00800381 0.0119786i
\(88\) −17.3930 + 23.2285i −0.197648 + 0.263960i
\(89\) −4.77326 + 7.14369i −0.0536321 + 0.0802662i −0.857317 0.514790i \(-0.827870\pi\)
0.803684 + 0.595056i \(0.202870\pi\)
\(90\) 13.6389 + 42.6722i 0.151544 + 0.474136i
\(91\) −100.056 + 53.4810i −1.09952 + 0.587703i
\(92\) 18.7997 + 26.4050i 0.204344 + 0.287011i
\(93\) 29.8445 + 2.93942i 0.320908 + 0.0316067i
\(94\) −31.6457 73.3045i −0.336656 0.779835i
\(95\) 53.0654 53.0654i 0.558583 0.558583i
\(96\) 0.444768 18.5274i 0.00463300 0.192994i
\(97\) 107.677 107.677i 1.11007 1.11007i 0.116931 0.993140i \(-0.462694\pi\)
0.993140 0.116931i \(-0.0373057\pi\)
\(98\) −17.2672 + 43.5010i −0.176196 + 0.443888i
\(99\) −31.2780 3.08061i −0.315939 0.0311173i
\(100\) −38.8802 + 62.1005i −0.388802 + 0.621005i
\(101\) −63.6422 + 34.0175i −0.630121 + 0.336807i −0.755350 0.655321i \(-0.772533\pi\)
0.125229 + 0.992128i \(0.460033\pi\)
\(102\) 25.3793 + 13.0852i 0.248817 + 0.128287i
\(103\) 35.3634 52.9250i 0.343334 0.513835i −0.619115 0.785301i \(-0.712508\pi\)
0.962448 + 0.271466i \(0.0875084\pi\)
\(104\) −77.4409 + 161.812i −0.744624 + 1.55588i
\(105\) −4.20849 6.29846i −0.0400809 0.0599853i
\(106\) −17.2141 13.7050i −0.162398 0.129293i
\(107\) 61.5178 74.9597i 0.574933 0.700558i −0.401627 0.915803i \(-0.631555\pi\)
0.976560 + 0.215245i \(0.0690551\pi\)
\(108\) 35.5016 20.3525i 0.328718 0.188449i
\(109\) 62.2472 + 33.2718i 0.571075 + 0.305246i 0.731543 0.681795i \(-0.238800\pi\)
−0.160468 + 0.987041i \(0.551300\pi\)
\(110\) 10.6496 + 15.4375i 0.0968149 + 0.140341i
\(111\) −11.6480 4.82476i −0.104937 0.0434663i
\(112\) −20.4737 78.3203i −0.182801 0.699289i
\(113\) −2.31953 5.59984i −0.0205268 0.0495561i 0.913284 0.407324i \(-0.133538\pi\)
−0.933811 + 0.357768i \(0.883538\pi\)
\(114\) −28.2319 18.2641i −0.247648 0.160211i
\(115\) 20.0467 6.08110i 0.174319 0.0528792i
\(116\) −8.63629 0.592560i −0.0744508 0.00510827i
\(117\) −193.355 + 19.0438i −1.65261 + 0.162768i
\(118\) 101.819 56.3810i 0.862872 0.477805i
\(119\) 122.329 + 24.3327i 1.02797 + 0.204477i
\(120\) −11.2588 4.08677i −0.0938235 0.0340564i
\(121\) 105.770 21.0390i 0.874135 0.173876i
\(122\) −2.70532 + 32.3860i −0.0221747 + 0.265459i
\(123\) 12.7617 42.0697i 0.103754 0.342030i
\(124\) 142.049 150.739i 1.14556 1.21564i
\(125\) 71.0403 + 86.5629i 0.568323 + 0.692503i
\(126\) 61.0706 62.9099i 0.484687 0.499285i
\(127\) 146.631i 1.15457i 0.816541 + 0.577287i \(0.195889\pi\)
−0.816541 + 0.577287i \(0.804111\pi\)
\(128\) −99.4040 80.6402i −0.776594 0.630002i
\(129\) −26.7877 −0.207657
\(130\) 83.1872 + 80.7550i 0.639902 + 0.621192i
\(131\) 47.5561 39.0283i 0.363024 0.297926i −0.435144 0.900361i \(-0.643303\pi\)
0.798168 + 0.602435i \(0.205803\pi\)
\(132\) 5.76298 6.11551i 0.0436589 0.0463296i
\(133\) −140.550 42.6354i −1.05677 0.320567i
\(134\) −185.184 15.4690i −1.38197 0.115441i
\(135\) −5.15963 25.9392i −0.0382195 0.192142i
\(136\) 178.664 83.5017i 1.31370 0.613983i
\(137\) −2.64904 + 13.3176i −0.0193361 + 0.0972090i −0.989248 0.146246i \(-0.953281\pi\)
0.969912 + 0.243455i \(0.0782809\pi\)
\(138\) −4.54693 8.21134i −0.0329488 0.0595024i
\(139\) −7.86889 79.8941i −0.0566107 0.574778i −0.981091 0.193548i \(-0.938001\pi\)
0.924480 0.381230i \(-0.124499\pi\)
\(140\) −52.1961 3.58132i −0.372829 0.0255808i
\(141\) 6.71157 + 22.1251i 0.0475998 + 0.156916i
\(142\) −56.0676 + 86.6672i −0.394842 + 0.610332i
\(143\) −75.1462 + 31.1266i −0.525498 + 0.217668i
\(144\) 18.9349 137.334i 0.131492 0.953710i
\(145\) −2.14100 + 5.16882i −0.0147655 + 0.0356470i
\(146\) 101.384 69.9403i 0.694414 0.479043i
\(147\) 6.38878 11.9526i 0.0434611 0.0813100i
\(148\) −75.5440 + 43.3081i −0.510433 + 0.292622i
\(149\) 192.392 + 157.892i 1.29122 + 1.05968i 0.994502 + 0.104714i \(0.0333926\pi\)
0.296719 + 0.954965i \(0.404107\pi\)
\(150\) 13.2148 16.5984i 0.0880986 0.110656i
\(151\) 135.805 90.7420i 0.899370 0.600940i −0.0176220 0.999845i \(-0.505610\pi\)
0.916992 + 0.398905i \(0.130610\pi\)
\(152\) −219.016 + 77.2346i −1.44089 + 0.508122i
\(153\) 177.599 + 118.668i 1.16078 + 0.775608i
\(154\) 16.8205 32.6241i 0.109224 0.211844i
\(155\) −63.1024 118.056i −0.407112 0.761653i
\(156\) 27.5658 44.0289i 0.176704 0.282237i
\(157\) 8.73463 88.6842i 0.0556346 0.564868i −0.926449 0.376421i \(-0.877155\pi\)
0.982083 0.188447i \(-0.0603453\pi\)
\(158\) −29.9303 11.8805i −0.189432 0.0751930i
\(159\) 4.50544 + 4.50544i 0.0283361 + 0.0283361i
\(160\) −69.8669 + 44.2958i −0.436668 + 0.276849i
\(161\) −28.9910 28.9910i −0.180068 0.180068i
\(162\) 132.310 57.1185i 0.816728 0.352583i
\(163\) −7.24734 + 73.5835i −0.0444622 + 0.451433i 0.947018 + 0.321179i \(0.104079\pi\)
−0.991481 + 0.130254i \(0.958421\pi\)
\(164\) −176.107 247.350i −1.07382 1.50823i
\(165\) −2.56008 4.78957i −0.0155156 0.0290277i
\(166\) 195.988 62.6418i 1.18065 0.377360i
\(167\) −21.3102 14.2390i −0.127606 0.0852636i 0.490129 0.871650i \(-0.336950\pi\)
−0.617735 + 0.786386i \(0.711950\pi\)
\(168\) 3.33329 + 23.2035i 0.0198410 + 0.138116i
\(169\) −277.558 + 185.458i −1.64235 + 1.09739i
\(170\) −14.3733 126.645i −0.0845487 0.744969i
\(171\) −194.433 159.567i −1.13704 0.933142i
\(172\) −113.078 + 146.437i −0.657429 + 0.851379i
\(173\) −72.6347 + 135.890i −0.419854 + 0.785491i −0.999570 0.0293273i \(-0.990663\pi\)
0.579716 + 0.814819i \(0.303163\pi\)
\(174\) 2.46555 + 0.452514i 0.0141698 + 0.00260065i
\(175\) 35.4650 85.6201i 0.202657 0.489258i
\(176\) −9.10390 57.3188i −0.0517267 0.325675i
\(177\) −31.1372 + 12.8975i −0.175916 + 0.0728670i
\(178\) −3.60193 16.8015i −0.0202355 0.0943906i
\(179\) 71.1854 + 234.667i 0.397684 + 1.31099i 0.896024 + 0.444006i \(0.146443\pi\)
−0.498341 + 0.866981i \(0.666057\pi\)
\(180\) −80.2363 39.8734i −0.445757 0.221519i
\(181\) 10.2660 + 104.233i 0.0567184 + 0.575872i 0.980980 + 0.194111i \(0.0621822\pi\)
−0.924261 + 0.381761i \(0.875318\pi\)
\(182\) 62.6386 218.087i 0.344168 1.19828i
\(183\) 1.83596 9.22999i 0.0100326 0.0504371i
\(184\) −64.0816 9.80598i −0.348269 0.0532934i
\(185\) 10.9792 + 55.1962i 0.0593470 + 0.298358i
\(186\) −45.7939 + 38.7331i −0.246204 + 0.208242i
\(187\) 85.5695 + 25.9572i 0.457591 + 0.138809i
\(188\) 149.280 + 56.7062i 0.794040 + 0.301629i
\(189\) −40.0117 + 32.8368i −0.211702 + 0.173740i
\(190\) 2.22648 + 150.075i 0.0117183 + 0.789869i
\(191\) 42.8643 0.224420 0.112210 0.993684i \(-0.464207\pi\)
0.112210 + 0.993684i \(0.464207\pi\)
\(192\) 25.9679 + 26.4484i 0.135250 + 0.137752i
\(193\) 18.5719i 0.0962276i −0.998842 0.0481138i \(-0.984679\pi\)
0.998842 0.0481138i \(-0.0153210\pi\)
\(194\) 4.51783 + 304.523i 0.0232878 + 1.56971i
\(195\) −21.2982 25.9519i −0.109221 0.133087i
\(196\) −38.3709 85.3795i −0.195770 0.435610i
\(197\) 44.4938 146.676i 0.225857 0.744550i −0.768631 0.639693i \(-0.779062\pi\)
0.994487 0.104857i \(-0.0334384\pi\)
\(198\) 47.9935 40.5935i 0.242391 0.205018i
\(199\) 369.865 73.5707i 1.85862 0.369702i 0.866937 0.498418i \(-0.166085\pi\)
0.991682 + 0.128715i \(0.0410853\pi\)
\(200\) −34.9533 142.305i −0.174766 0.711527i
\(201\) 52.7772 + 10.4980i 0.262573 + 0.0522291i
\(202\) 39.8423 138.718i 0.197239 0.686722i
\(203\) 10.8968 1.07324i 0.0536788 0.00528690i
\(204\) −54.1332 + 18.1915i −0.265359 + 0.0891738i
\(205\) −187.788 + 56.9650i −0.916041 + 0.277878i
\(206\) 26.6854 + 124.476i 0.129541 + 0.604254i
\(207\) −26.8693 64.8683i −0.129803 0.313373i
\(208\) −124.325 336.547i −0.597716 1.61802i
\(209\) −97.2837 40.2962i −0.465472 0.192805i
\(210\) 14.9013 + 2.73491i 0.0709585 + 0.0130234i
\(211\) 170.813 + 91.3017i 0.809543 + 0.432710i 0.823586 0.567192i \(-0.191970\pi\)
−0.0140431 + 0.999901i \(0.504470\pi\)
\(212\) 43.6479 5.61073i 0.205886 0.0264657i
\(213\) 18.9623 23.1056i 0.0890249 0.108477i
\(214\) 21.8707 + 192.705i 0.102199 + 0.900492i
\(215\) 66.4315 + 99.4218i 0.308984 + 0.462427i
\(216\) −20.2500 + 79.2987i −0.0937500 + 0.367124i
\(217\) −145.552 + 217.833i −0.670745 + 1.00384i
\(218\) −134.462 + 42.9767i −0.616796 + 0.197141i
\(219\) −31.4550 + 16.8130i −0.143630 + 0.0767718i
\(220\) −36.9892 6.22311i −0.168133 0.0282869i
\(221\) 550.117 + 54.1818i 2.48922 + 0.245167i
\(222\) 23.1503 9.99404i 0.104281 0.0450182i
\(223\) −258.061 + 258.061i −1.15722 + 1.15722i −0.172152 + 0.985070i \(0.555072\pi\)
−0.985070 + 0.172152i \(0.944928\pi\)
\(224\) 140.914 + 79.7259i 0.629081 + 0.355919i
\(225\) 112.224 112.224i 0.498772 0.498772i
\(226\) 11.2673 + 4.47241i 0.0498551 + 0.0197894i
\(227\) 302.974 + 29.8403i 1.33469 + 0.131455i 0.740057 0.672544i \(-0.234798\pi\)
0.594630 + 0.803999i \(0.297298\pi\)
\(228\) 65.5389 15.0705i 0.287451 0.0660988i
\(229\) −111.163 + 59.4177i −0.485427 + 0.259466i −0.695907 0.718132i \(-0.744997\pi\)
0.210480 + 0.977598i \(0.432497\pi\)
\(230\) −19.2001 + 37.2392i −0.0834785 + 0.161910i
\(231\) −5.90507 + 8.83756i −0.0255631 + 0.0382578i
\(232\) 12.8814 11.5679i 0.0555232 0.0498617i
\(233\) 38.1107 + 57.0367i 0.163565 + 0.244793i 0.904194 0.427121i \(-0.140472\pi\)
−0.740629 + 0.671914i \(0.765472\pi\)
\(234\) 242.031 304.001i 1.03432 1.29915i
\(235\) 65.4723 79.7783i 0.278606 0.339482i
\(236\) −60.9330 + 224.657i −0.258191 + 0.951937i
\(237\) 8.22381 + 4.39572i 0.0346996 + 0.0185473i
\(238\) −205.332 + 141.649i −0.862741 + 0.595164i
\(239\) −295.451 122.380i −1.23620 0.512049i −0.333672 0.942689i \(-0.608288\pi\)
−0.902524 + 0.430640i \(0.858288\pi\)
\(240\) 21.5491 10.4636i 0.0897879 0.0435984i
\(241\) 3.97263 + 9.59079i 0.0164840 + 0.0397958i 0.931907 0.362697i \(-0.118144\pi\)
−0.915423 + 0.402493i \(0.868144\pi\)
\(242\) −117.155 + 181.093i −0.484110 + 0.748319i
\(243\) −128.044 + 38.8416i −0.526928 + 0.159842i
\(244\) −42.7064 48.9985i −0.175026 0.200813i
\(245\) −60.2052 + 5.92970i −0.245736 + 0.0242028i
\(246\) 42.5935 + 76.9200i 0.173144 + 0.312683i
\(247\) −638.434 126.992i −2.58475 0.514139i
\(248\) 18.4296 + 413.837i 0.0743129 + 1.66870i
\(249\) −58.4366 + 11.6238i −0.234685 + 0.0466818i
\(250\) −223.186 18.6435i −0.892743 0.0745740i
\(251\) −40.6738 + 134.084i −0.162047 + 0.534197i −0.999932 0.0116492i \(-0.996292\pi\)
0.837885 + 0.545847i \(0.183792\pi\)
\(252\) 5.20189 + 175.277i 0.0206424 + 0.695544i
\(253\) −18.6473 22.7217i −0.0737046 0.0898093i
\(254\) −210.421 204.269i −0.828428 0.804207i
\(255\) 36.9085i 0.144739i
\(256\) 254.199 30.3102i 0.992966 0.118399i
\(257\) 88.4286 0.344080 0.172040 0.985090i \(-0.444964\pi\)
0.172040 + 0.985090i \(0.444964\pi\)
\(258\) 37.3175 38.4414i 0.144641 0.148998i
\(259\) 85.1412 69.8736i 0.328730 0.269782i
\(260\) −231.773 + 6.87857i −0.891434 + 0.0264560i
\(261\) 17.9440 + 5.44326i 0.0687510 + 0.0208554i
\(262\) −10.2424 + 122.614i −0.0390931 + 0.467993i
\(263\) −82.3684 414.094i −0.313188 1.57450i −0.741552 0.670896i \(-0.765910\pi\)
0.428364 0.903606i \(-0.359090\pi\)
\(264\) 0.747694 + 16.7895i 0.00283217 + 0.0635965i
\(265\) 5.54865 27.8949i 0.0209383 0.105264i
\(266\) 256.981 142.300i 0.966092 0.534962i
\(267\) 0.487718 + 4.95188i 0.00182666 + 0.0185464i
\(268\) 280.174 244.196i 1.04543 0.911177i
\(269\) −98.8382 325.826i −0.367428 1.21125i −0.924628 0.380871i \(-0.875624\pi\)
0.557200 0.830378i \(-0.311876\pi\)
\(270\) 44.4115 + 28.7311i 0.164487 + 0.106412i
\(271\) 113.266 46.9162i 0.417955 0.173123i −0.163787 0.986496i \(-0.552371\pi\)
0.581743 + 0.813373i \(0.302371\pi\)
\(272\) −129.065 + 372.713i −0.474502 + 1.37027i
\(273\) −25.1445 + 60.7042i −0.0921044 + 0.222360i
\(274\) −15.4210 22.3540i −0.0562809 0.0815839i
\(275\) 31.3203 58.5961i 0.113892 0.213077i
\(276\) 18.1178 + 4.91403i 0.0656442 + 0.0178045i
\(277\) −245.409 201.402i −0.885952 0.727082i 0.0769208 0.997037i \(-0.475491\pi\)
−0.962873 + 0.269955i \(0.912991\pi\)
\(278\) 125.613 + 100.007i 0.451845 + 0.359736i
\(279\) −373.047 + 249.262i −1.33709 + 0.893413i
\(280\) 77.8526 69.9142i 0.278045 0.249694i
\(281\) 274.686 + 183.540i 0.977532 + 0.653166i 0.938212 0.346061i \(-0.112481\pi\)
0.0393198 + 0.999227i \(0.487481\pi\)
\(282\) −41.1001 21.1907i −0.145745 0.0751442i
\(283\) 153.776 + 287.695i 0.543378 + 1.01659i 0.992398 + 0.123067i \(0.0392731\pi\)
−0.449020 + 0.893522i \(0.648227\pi\)
\(284\) −46.2640 201.193i −0.162901 0.708427i
\(285\) 4.26009 43.2534i 0.0149477 0.151766i
\(286\) 60.0168 151.199i 0.209849 0.528669i
\(287\) 271.574 + 271.574i 0.946251 + 0.946251i
\(288\) 170.702 + 218.490i 0.592715 + 0.758645i
\(289\) −225.359 225.359i −0.779791 0.779791i
\(290\) −4.43487 10.2730i −0.0152927 0.0354241i
\(291\) 8.64430 87.7671i 0.0297055 0.301605i
\(292\) −40.8696 + 242.923i −0.139964 + 0.831927i
\(293\) −120.464 225.373i −0.411141 0.769190i 0.588074 0.808807i \(-0.299886\pi\)
−0.999215 + 0.0396170i \(0.987386\pi\)
\(294\) 8.25230 + 25.8190i 0.0280690 + 0.0878198i
\(295\) 125.086 + 83.5800i 0.424021 + 0.283322i
\(296\) 43.0901 168.740i 0.145575 0.570068i
\(297\) −30.8551 + 20.6167i −0.103889 + 0.0694166i
\(298\) −494.598 + 56.1334i −1.65973 + 0.188367i
\(299\) −140.462 115.274i −0.469773 0.385533i
\(300\) 5.41003 + 42.0865i 0.0180334 + 0.140288i
\(301\) 110.317 206.388i 0.366500 0.685674i
\(302\) −58.9690 + 321.296i −0.195262 + 1.06389i
\(303\) −15.9936 + 38.6119i −0.0527840 + 0.127432i
\(304\) 194.272 421.889i 0.639052 1.38779i
\(305\) −38.8098 + 16.0756i −0.127245 + 0.0527067i
\(306\) −417.703 + 89.5475i −1.36504 + 0.292639i
\(307\) −168.425 555.224i −0.548617 1.80855i −0.587396 0.809299i \(-0.699847\pi\)
0.0387797 0.999248i \(-0.487653\pi\)
\(308\) 23.3844 + 69.5860i 0.0759233 + 0.225928i
\(309\) −3.61332 36.6867i −0.0116936 0.118727i
\(310\) 257.322 + 73.9075i 0.830070 + 0.238411i
\(311\) 66.2638 333.131i 0.213067 1.07116i −0.715108 0.699014i \(-0.753622\pi\)
0.928175 0.372145i \(-0.121378\pi\)
\(312\) 24.7817 + 100.894i 0.0794285 + 0.323377i
\(313\) −12.4116 62.3971i −0.0396535 0.199352i 0.955880 0.293756i \(-0.0949054\pi\)
−0.995534 + 0.0944043i \(0.969905\pi\)
\(314\) 115.097 + 136.079i 0.366551 + 0.433371i
\(315\) 108.450 + 32.8980i 0.344286 + 0.104438i
\(316\) 58.7443 26.4006i 0.185900 0.0835463i
\(317\) 272.135 223.335i 0.858470 0.704528i −0.0983683 0.995150i \(-0.531362\pi\)
0.956838 + 0.290622i \(0.0938623\pi\)
\(318\) −12.7419 + 0.189036i −0.0400689 + 0.000594453i
\(319\) 7.85008 0.0246084
\(320\) 33.7640 161.969i 0.105512 0.506153i
\(321\) 56.1607i 0.174956i
\(322\) 81.9898 1.21638i 0.254627 0.00377758i
\(323\) 453.987 + 553.184i 1.40553 + 1.71264i
\(324\) −102.351 + 269.440i −0.315899 + 0.831606i
\(325\) 119.229 393.044i 0.366857 1.20937i
\(326\) −95.4989 112.908i −0.292941 0.346343i
\(327\) 40.0917 7.97473i 0.122605 0.0243876i
\(328\) 600.286 + 91.8579i 1.83014 + 0.280054i
\(329\) −198.104 39.4053i −0.602139 0.119773i
\(330\) 10.4396 + 2.99844i 0.0316351 + 0.00908619i
\(331\) 287.852 28.3510i 0.869645 0.0856526i 0.346656 0.937992i \(-0.387317\pi\)
0.522989 + 0.852340i \(0.324817\pi\)
\(332\) −183.133 + 368.514i −0.551606 + 1.10998i
\(333\) 180.501 54.7543i 0.542044 0.164427i
\(334\) 50.1203 10.7448i 0.150061 0.0321701i
\(335\) −91.9202 221.915i −0.274389 0.662433i
\(336\) −37.9414 27.5409i −0.112921 0.0819669i
\(337\) −127.311 52.7341i −0.377779 0.156481i 0.185711 0.982604i \(-0.440541\pi\)
−0.563489 + 0.826123i \(0.690541\pi\)
\(338\) 120.521 656.664i 0.356570 1.94279i
\(339\) −3.09585 1.65477i −0.00913231 0.00488132i
\(340\) 201.763 + 155.800i 0.593420 + 0.458235i
\(341\) −119.156 + 145.192i −0.349431 + 0.425783i
\(342\) 499.846 56.7290i 1.46154 0.165874i
\(343\) 203.514 + 304.580i 0.593335 + 0.887989i
\(344\) −52.6164 366.269i −0.152955 1.06474i
\(345\) 6.74043 10.0878i 0.0195375 0.0292399i
\(346\) −93.8212 293.539i −0.271160 0.848379i
\(347\) −526.273 + 281.299i −1.51664 + 0.810659i −0.998990 0.0449359i \(-0.985692\pi\)
−0.517646 + 0.855595i \(0.673192\pi\)
\(348\) −4.08408 + 2.90776i −0.0117358 + 0.00835563i
\(349\) −261.166 25.7226i −0.748326 0.0737037i −0.283337 0.959020i \(-0.591442\pi\)
−0.464989 + 0.885317i \(0.653942\pi\)
\(350\) 73.4624 + 170.169i 0.209893 + 0.486197i
\(351\) −162.212 + 162.212i −0.462143 + 0.462143i
\(352\) 94.9371 + 66.7852i 0.269708 + 0.189731i
\(353\) 244.178 244.178i 0.691723 0.691723i −0.270888 0.962611i \(-0.587317\pi\)
0.962611 + 0.270888i \(0.0873172\pi\)
\(354\) 24.8683 62.6502i 0.0702494 0.176978i
\(355\) −132.781 13.0778i −0.374030 0.0368388i
\(356\) 29.1286 + 18.2370i 0.0818219 + 0.0512274i
\(357\) 63.7053 34.0512i 0.178446 0.0953814i
\(358\) −435.922 224.756i −1.21766 0.627809i
\(359\) 84.8886 127.045i 0.236459 0.353885i −0.694195 0.719787i \(-0.744239\pi\)
0.930653 + 0.365902i \(0.119239\pi\)
\(360\) 168.995 59.5952i 0.469431 0.165542i
\(361\) −267.620 400.522i −0.741330 1.10948i
\(362\) −163.879 130.472i −0.452705 0.360421i
\(363\) 39.6222 48.2798i 0.109152 0.133002i
\(364\) 225.702 + 393.701i 0.620062 + 1.08160i
\(365\) 140.407 + 75.0490i 0.384676 + 0.205614i
\(366\) 10.6877 + 15.4928i 0.0292015 + 0.0423300i
\(367\) −621.861 257.583i −1.69444 0.701861i −0.694597 0.719399i \(-0.744417\pi\)
−0.999846 + 0.0175375i \(0.994417\pi\)
\(368\) 103.343 78.2989i 0.280822 0.212769i
\(369\) 251.699 + 607.656i 0.682112 + 1.64676i
\(370\) −94.5034 61.1371i −0.255415 0.165235i
\(371\) −53.2667 + 16.1583i −0.143576 + 0.0435533i
\(372\) 8.21117 119.674i 0.0220730 0.321705i
\(373\) 358.531 35.3122i 0.961208 0.0946708i 0.394775 0.918778i \(-0.370823\pi\)
0.566434 + 0.824107i \(0.308323\pi\)
\(374\) −156.455 + 86.6349i −0.418328 + 0.231644i
\(375\) 63.6078 + 12.6524i 0.169621 + 0.0337397i
\(376\) −289.334 + 135.225i −0.769505 + 0.359642i
\(377\) 47.5954 9.46732i 0.126248 0.0251123i
\(378\) 8.61754 103.163i 0.0227977 0.272917i
\(379\) 8.48306 27.9649i 0.0223827 0.0737860i −0.945038 0.326962i \(-0.893975\pi\)
0.967420 + 0.253176i \(0.0814751\pi\)
\(380\) −218.465 205.872i −0.574908 0.541767i
\(381\) 53.8734 + 65.6449i 0.141400 + 0.172296i
\(382\) −59.7134 + 61.5119i −0.156318 + 0.161026i
\(383\) 404.481i 1.05609i −0.849217 0.528043i \(-0.822926\pi\)
0.849217 0.528043i \(-0.177074\pi\)
\(384\) −74.1299 + 0.420176i −0.193047 + 0.00109421i
\(385\) 47.4444 0.123232
\(386\) 26.6514 + 25.8722i 0.0690450 + 0.0670263i
\(387\) 309.798 254.245i 0.800513 0.656964i
\(388\) −443.295 417.741i −1.14251 1.07665i
\(389\) 461.728 + 140.064i 1.18696 + 0.360061i 0.821196 0.570647i \(-0.193307\pi\)
0.365765 + 0.930707i \(0.380807\pi\)
\(390\) 66.9120 + 5.58940i 0.171569 + 0.0143318i
\(391\) 38.9719 + 195.925i 0.0996724 + 0.501087i
\(392\) 175.976 + 63.8767i 0.448920 + 0.162951i
\(393\) 6.95099 34.9450i 0.0176870 0.0889185i
\(394\) 148.502 + 268.182i 0.376910 + 0.680665i
\(395\) −4.07985 41.4234i −0.0103287 0.104869i
\(396\) −8.60558 + 125.422i −0.0217313 + 0.316723i
\(397\) 9.57929 + 31.5787i 0.0241292 + 0.0795433i 0.968178 0.250262i \(-0.0805168\pi\)
−0.944049 + 0.329805i \(0.893017\pi\)
\(398\) −409.675 + 633.260i −1.02933 + 1.59111i
\(399\) −78.5871 + 32.5519i −0.196960 + 0.0815836i
\(400\) 252.906 + 148.083i 0.632265 + 0.370209i
\(401\) −84.1105 + 203.061i −0.209752 + 0.506386i −0.993384 0.114839i \(-0.963365\pi\)
0.783632 + 0.621225i \(0.213365\pi\)
\(402\) −88.5879 + 61.1126i −0.220368 + 0.152021i
\(403\) −547.345 + 1024.01i −1.35818 + 2.54097i
\(404\) 143.562 + 250.420i 0.355351 + 0.619852i
\(405\) 143.995 + 118.173i 0.355543 + 0.291786i
\(406\) −13.6400 + 17.1324i −0.0335960 + 0.0421981i
\(407\) 65.6568 43.8705i 0.161319 0.107790i
\(408\) 49.3064 103.025i 0.120849 0.252513i
\(409\) 114.064 + 76.2151i 0.278885 + 0.186345i 0.687144 0.726521i \(-0.258864\pi\)
−0.408259 + 0.912866i \(0.633864\pi\)
\(410\) 179.857 348.840i 0.438676 0.850829i
\(411\) 3.70706 + 6.93543i 0.00901962 + 0.0168745i
\(412\) −215.803 135.111i −0.523794 0.327939i
\(413\) 28.8592 293.013i 0.0698770 0.709474i
\(414\) 130.519 + 51.8082i 0.315264 + 0.125141i
\(415\) 188.059 + 188.059i 0.453155 + 0.453155i
\(416\) 656.152 + 290.427i 1.57729 + 0.698141i
\(417\) −32.8766 32.8766i −0.0788407 0.0788407i
\(418\) 193.350 83.4698i 0.462561 0.199689i
\(419\) −18.5811 + 188.657i −0.0443464 + 0.450256i 0.947213 + 0.320604i \(0.103886\pi\)
−0.991560 + 0.129652i \(0.958614\pi\)
\(420\) −24.6834 + 17.5739i −0.0587699 + 0.0418427i
\(421\) −225.633 422.130i −0.535946 1.00268i −0.993536 0.113520i \(-0.963787\pi\)
0.457590 0.889163i \(-0.348713\pi\)
\(422\) −368.978 + 117.933i −0.874356 + 0.279462i
\(423\) −287.610 192.175i −0.679929 0.454314i
\(424\) −52.7534 + 70.4525i −0.124418 + 0.166162i
\(425\) −375.444 + 250.864i −0.883398 + 0.590267i
\(426\) 6.74144 + 59.3996i 0.0158250 + 0.139436i
\(427\) 63.5523 + 52.1560i 0.148834 + 0.122145i
\(428\) −307.007 237.068i −0.717305 0.553898i
\(429\) −22.2059 + 41.5443i −0.0517620 + 0.0968399i
\(430\) −235.218 43.1708i −0.547019 0.100397i
\(431\) −239.448 + 578.079i −0.555564 + 1.34125i 0.357682 + 0.933843i \(0.383567\pi\)
−0.913246 + 0.407407i \(0.866433\pi\)
\(432\) −85.5867 139.529i −0.198117 0.322983i
\(433\) −148.936 + 61.6913i −0.343963 + 0.142474i −0.547976 0.836494i \(-0.684602\pi\)
0.204013 + 0.978968i \(0.434602\pi\)
\(434\) −109.834 512.331i −0.253074 1.18049i
\(435\) 0.940569 + 3.10064i 0.00216223 + 0.00712791i
\(436\) 125.642 252.827i 0.288171 0.579879i
\(437\) −23.0573 234.105i −0.0527627 0.535709i
\(438\) 19.6920 68.5609i 0.0449588 0.156532i
\(439\) −141.329 + 710.511i −0.321935 + 1.61848i 0.393175 + 0.919464i \(0.371377\pi\)
−0.715110 + 0.699012i \(0.753623\pi\)
\(440\) 60.4593 44.4116i 0.137408 0.100935i
\(441\) 39.5571 + 198.867i 0.0896987 + 0.450946i
\(442\) −844.110 + 713.959i −1.90975 + 1.61529i
\(443\) 299.076 + 90.7236i 0.675115 + 0.204794i 0.609182 0.793030i \(-0.291498\pi\)
0.0659324 + 0.997824i \(0.478998\pi\)
\(444\) −17.9084 + 47.1440i −0.0403342 + 0.106180i
\(445\) 17.1692 14.0904i 0.0385825 0.0316639i
\(446\) −10.8275 729.826i −0.0242770 1.63638i
\(447\) 144.142 0.322466
\(448\) −310.714 + 91.1523i −0.693558 + 0.203465i
\(449\) 521.323i 1.16107i 0.814234 + 0.580537i \(0.197158\pi\)
−0.814234 + 0.580537i \(0.802842\pi\)
\(450\) 4.70860 + 317.382i 0.0104636 + 0.705293i
\(451\) 174.679 + 212.847i 0.387315 + 0.471944i
\(452\) −22.1143 + 9.93851i −0.0489253 + 0.0219879i
\(453\) 27.4589 90.5199i 0.0606157 0.199823i
\(454\) −464.889 + 393.209i −1.02398 + 0.866099i
\(455\) 287.658 57.2187i 0.632215 0.125755i
\(456\) −69.6741 + 115.045i −0.152794 + 0.252292i
\(457\) 378.907 + 75.3692i 0.829117 + 0.164922i 0.591365 0.806404i \(-0.298589\pi\)
0.237753 + 0.971326i \(0.423589\pi\)
\(458\) 69.5919 242.296i 0.151947 0.529031i
\(459\) 250.983 24.7197i 0.546804 0.0538555i
\(460\) −26.6925 79.4300i −0.0580271 0.172674i
\(461\) −751.094 + 227.842i −1.62927 + 0.494234i −0.966946 0.254983i \(-0.917930\pi\)
−0.662325 + 0.749217i \(0.730430\pi\)
\(462\) −4.45599 20.7854i −0.00964500 0.0449900i
\(463\) 61.8783 + 149.387i 0.133646 + 0.322651i 0.976509 0.215478i \(-0.0691311\pi\)
−0.842862 + 0.538130i \(0.819131\pi\)
\(464\) −1.34441 + 34.6003i −0.00289744 + 0.0745695i
\(465\) −71.6250 29.6680i −0.154032 0.0638022i
\(466\) −134.941 24.7664i −0.289573 0.0531468i
\(467\) −439.520 234.928i −0.941157 0.503059i −0.0718956 0.997412i \(-0.522905\pi\)
−0.869261 + 0.494353i \(0.835405\pi\)
\(468\) 99.0854 + 770.821i 0.211721 + 1.64705i
\(469\) −298.229 + 363.393i −0.635882 + 0.774824i
\(470\) 23.2766 + 205.093i 0.0495246 + 0.436367i
\(471\) −28.6729 42.9120i −0.0608767 0.0911084i
\(472\) −237.507 400.406i −0.503192 0.848319i
\(473\) 93.2121 139.502i 0.197066 0.294930i
\(474\) −17.7644 + 5.67789i −0.0374777 + 0.0119787i
\(475\) 468.942 250.655i 0.987246 0.527694i
\(476\) 82.7726 491.988i 0.173892 1.03359i
\(477\) −94.8667 9.34355i −0.198882 0.0195882i
\(478\) 587.206 253.498i 1.22846 0.530330i
\(479\) −1.72812 + 1.72812i −0.00360777 + 0.00360777i −0.708908 0.705301i \(-0.750812\pi\)
0.705301 + 0.708908i \(0.250812\pi\)
\(480\) −15.0039 + 45.5004i −0.0312582 + 0.0947925i
\(481\) 345.172 345.172i 0.717613 0.717613i
\(482\) −19.2973 7.65985i −0.0400359 0.0158918i
\(483\) −23.6304 2.32739i −0.0489243 0.00481862i
\(484\) −96.6698 420.399i −0.199731 0.868592i
\(485\) −347.182 + 185.572i −0.715838 + 0.382623i
\(486\) 122.636 237.857i 0.252337 0.489417i
\(487\) −95.6396 + 143.135i −0.196385 + 0.293911i −0.916573 0.399868i \(-0.869056\pi\)
0.720187 + 0.693780i \(0.244056\pi\)
\(488\) 129.808 + 6.97358i 0.266000 + 0.0142901i
\(489\) 23.7906 + 35.6052i 0.0486516 + 0.0728123i
\(490\) 75.3613 94.6572i 0.153799 0.193178i
\(491\) −91.5524 + 111.557i −0.186461 + 0.227204i −0.857848 0.513903i \(-0.828199\pi\)
0.671387 + 0.741107i \(0.265699\pi\)
\(492\) −169.719 46.0324i −0.344958 0.0935618i
\(493\) −47.0504 25.1490i −0.0954370 0.0510121i
\(494\) 1071.63 739.265i 2.16929 1.49649i
\(495\) 75.0654 + 31.0931i 0.151647 + 0.0628143i
\(496\) −619.546 550.061i −1.24908 1.10899i
\(497\) 99.9287 + 241.249i 0.201064 + 0.485411i
\(498\) 64.7263 100.051i 0.129972 0.200907i
\(499\) 343.717 104.265i 0.688812 0.208949i 0.0735734 0.997290i \(-0.476560\pi\)
0.615239 + 0.788341i \(0.289060\pi\)
\(500\) 337.670 294.308i 0.675339 0.588616i
\(501\) −14.7719 + 1.45490i −0.0294847 + 0.00290399i
\(502\) −135.753 245.157i −0.270424 0.488361i
\(503\) −778.377 154.829i −1.54747 0.307811i −0.653846 0.756628i \(-0.726846\pi\)
−0.893624 + 0.448817i \(0.851846\pi\)
\(504\) −258.776 236.710i −0.513444 0.469663i
\(505\) 182.969 36.3949i 0.362316 0.0720691i
\(506\) 58.5837 + 4.89370i 0.115778 + 0.00967135i
\(507\) −56.1205 + 185.004i −0.110691 + 0.364900i
\(508\) 586.266 17.3992i 1.15407 0.0342505i
\(509\) 503.062 + 612.983i 0.988334 + 1.20429i 0.978902 + 0.204333i \(0.0655024\pi\)
0.00943216 + 0.999956i \(0.496998\pi\)
\(510\) −52.9650 51.4165i −0.103853 0.100817i
\(511\) 311.586i 0.609757i
\(512\) −310.624 + 407.010i −0.606687 + 0.794941i
\(513\) −296.983 −0.578914
\(514\) −123.188 + 126.898i −0.239666 + 0.246884i
\(515\) −127.201 + 104.391i −0.246991 + 0.202701i
\(516\) 3.17864 + 107.104i 0.00616015 + 0.207566i
\(517\) −138.574 42.0360i −0.268035 0.0813075i
\(518\) −18.3373 + 219.520i −0.0354002 + 0.423784i
\(519\) 17.4094 + 87.5229i 0.0335441 + 0.168638i
\(520\) 313.007 342.185i 0.601936 0.658048i
\(521\) 138.749 697.540i 0.266313 1.33885i −0.583650 0.812006i \(-0.698376\pi\)
0.849963 0.526842i \(-0.176624\pi\)
\(522\) −32.8087 + 18.1674i −0.0628519 + 0.0348035i
\(523\) −2.73358 27.7545i −0.00522674 0.0530679i 0.992218 0.124516i \(-0.0397379\pi\)
−0.997444 + 0.0714483i \(0.977238\pi\)
\(524\) −161.687 185.510i −0.308564 0.354026i
\(525\) −15.5803 51.3612i −0.0296767 0.0978309i
\(526\) 708.986 + 458.664i 1.34788 + 0.871985i
\(527\) 1179.32 488.491i 2.23780 0.926928i
\(528\) −25.1351 22.3161i −0.0476044 0.0422654i
\(529\) −177.310 + 428.065i −0.335180 + 0.809197i
\(530\) 32.3005 + 46.8224i 0.0609444 + 0.0883441i
\(531\) 237.689 444.684i 0.447625 0.837447i
\(532\) −153.789 + 567.011i −0.289077 + 1.06581i
\(533\) 1315.78 + 1079.84i 2.46864 + 2.02596i
\(534\) −7.78556 6.19847i −0.0145797 0.0116076i
\(535\) −208.439 + 139.274i −0.389605 + 0.260326i
\(536\) −39.8750 + 742.244i −0.0743937 + 1.38478i
\(537\) 118.087 + 78.9034i 0.219902 + 0.146934i
\(538\) 605.262 + 312.065i 1.12502 + 0.580046i
\(539\) 40.0143 + 74.8615i 0.0742380 + 0.138890i
\(540\) −103.099 + 23.7074i −0.190924 + 0.0439026i
\(541\) 85.2521 865.579i 0.157582 1.59996i −0.513175 0.858284i \(-0.671531\pi\)
0.670757 0.741677i \(-0.265969\pi\)
\(542\) −90.4618 + 227.899i −0.166904 + 0.420477i
\(543\) 42.8920 + 42.8920i 0.0789908 + 0.0789908i
\(544\) −355.060 704.432i −0.652684 1.29491i
\(545\) −129.022 129.022i −0.236738 0.236738i
\(546\) −52.0844 120.649i −0.0953927 0.220969i
\(547\) 49.5084 502.668i 0.0905090 0.918954i −0.837510 0.546422i \(-0.815990\pi\)
0.928019 0.372532i \(-0.121510\pi\)
\(548\) 53.5614 + 9.01124i 0.0977399 + 0.0164439i
\(549\) 66.3700 + 124.169i 0.120892 + 0.226174i
\(550\) 40.4559 + 126.575i 0.0735563 + 0.230136i
\(551\) 52.2361 + 34.9031i 0.0948024 + 0.0633449i
\(552\) −32.2914 + 19.1541i −0.0584988 + 0.0346994i
\(553\) −67.7342 + 45.2585i −0.122485 + 0.0818418i
\(554\) 630.893 71.6019i 1.13880 0.129245i
\(555\) 25.1948 + 20.6768i 0.0453960 + 0.0372556i
\(556\) −318.502 + 40.9419i −0.572846 + 0.0736366i
\(557\) −137.698 + 257.615i −0.247214 + 0.462505i −0.974670 0.223650i \(-0.928203\pi\)
0.727456 + 0.686155i \(0.240703\pi\)
\(558\) 161.984 882.579i 0.290294 1.58168i
\(559\) 396.908 958.221i 0.710033 1.71417i
\(560\) −8.12537 + 209.117i −0.0145096 + 0.373424i
\(561\) 47.8453 19.8182i 0.0852858 0.0353265i
\(562\) −646.046 + 138.500i −1.14955 + 0.246441i
\(563\) −280.214 923.742i −0.497716 1.64075i −0.741525 0.670925i \(-0.765897\pi\)
0.243809 0.969823i \(-0.421603\pi\)
\(564\) 87.6650 29.4598i 0.155434 0.0522338i
\(565\) 1.53586 + 15.5938i 0.00271833 + 0.0275997i
\(566\) −627.075 180.107i −1.10791 0.318211i
\(567\) 71.1240 357.565i 0.125439 0.630625i
\(568\) 353.169 + 213.888i 0.621777 + 0.376563i
\(569\) −86.6887 435.814i −0.152353 0.765929i −0.979104 0.203361i \(-0.934813\pi\)
0.826751 0.562568i \(-0.190187\pi\)
\(570\) 56.1356 + 66.3688i 0.0984835 + 0.116437i
\(571\) 501.678 + 152.182i 0.878596 + 0.266519i 0.697188 0.716889i \(-0.254434\pi\)
0.181408 + 0.983408i \(0.441934\pi\)
\(572\) 133.368 + 296.759i 0.233161 + 0.518810i
\(573\) 19.1898 15.7487i 0.0334901 0.0274846i
\(574\) −768.043 + 11.3945i −1.33805 + 0.0198511i
\(575\) 148.430 0.258139
\(576\) −551.342 59.4102i −0.957191 0.103143i
\(577\) 128.777i 0.223184i 0.993754 + 0.111592i \(0.0355950\pi\)
−0.993754 + 0.111592i \(0.964405\pi\)
\(578\) 637.343 9.45547i 1.10267 0.0163590i
\(579\) −6.82348 8.31443i −0.0117849 0.0143600i
\(580\) 20.9202 + 7.94688i 0.0360694 + 0.0137015i
\(581\) 151.096 498.097i 0.260062 0.857310i
\(582\) 113.907 + 134.671i 0.195716 + 0.231394i
\(583\) −39.1402 + 7.78548i −0.0671359 + 0.0133542i
\(584\) −291.668 397.060i −0.499432 0.679897i
\(585\) 492.624 + 97.9890i 0.842092 + 0.167503i
\(586\) 491.234 + 141.091i 0.838283 + 0.240770i
\(587\) −408.260 + 40.2101i −0.695502 + 0.0685010i −0.439589 0.898199i \(-0.644876\pi\)
−0.255913 + 0.966700i \(0.582376\pi\)
\(588\) −48.5473 24.1256i −0.0825635 0.0410299i
\(589\) −1438.44 + 436.346i −2.44218 + 0.740826i
\(590\) −294.195 + 63.0699i −0.498636 + 0.106898i
\(591\) −33.9707 82.0126i −0.0574801 0.138769i
\(592\) 182.120 + 296.904i 0.307636 + 0.501527i
\(593\) −656.068 271.752i −1.10635 0.458267i −0.246674 0.969099i \(-0.579338\pi\)
−0.859681 + 0.510832i \(0.829338\pi\)
\(594\) 13.3979 72.9990i 0.0225553 0.122894i
\(595\) −284.364 151.996i −0.477922 0.255455i
\(596\) 608.461 787.965i 1.02091 1.32209i
\(597\) 138.554 168.828i 0.232083 0.282794i
\(598\) 361.098 40.9821i 0.603842 0.0685319i
\(599\) −53.5510 80.1448i −0.0894007 0.133798i 0.784074 0.620668i \(-0.213138\pi\)
−0.873474 + 0.486870i \(0.838138\pi\)
\(600\) −67.9323 50.8663i −0.113221 0.0847772i
\(601\) −575.559 + 861.384i −0.957668 + 1.43325i −0.0571834 + 0.998364i \(0.518212\pi\)
−0.900485 + 0.434888i \(0.856788\pi\)
\(602\) 142.494 + 445.823i 0.236702 + 0.740570i
\(603\) −710.003 + 379.504i −1.17745 + 0.629360i
\(604\) −378.923 532.213i −0.627355 0.881148i
\(605\) −277.449 27.3263i −0.458593 0.0451675i
\(606\) −33.1292 76.7408i −0.0546686 0.126635i
\(607\) 165.249 165.249i 0.272239 0.272239i −0.557762 0.830001i \(-0.688340\pi\)
0.830001 + 0.557762i \(0.188340\pi\)
\(608\) 334.791 + 866.512i 0.550643 + 1.42518i
\(609\) 4.48405 4.48405i 0.00736297 0.00736297i
\(610\) 30.9962 78.0881i 0.0508134 0.128013i
\(611\) −890.878 87.7438i −1.45807 0.143607i
\(612\) 453.389 724.166i 0.740832 1.18328i
\(613\) −221.440 + 118.362i −0.361239 + 0.193086i −0.642024 0.766684i \(-0.721905\pi\)
0.280785 + 0.959771i \(0.409405\pi\)
\(614\) 1031.40 + 531.774i 1.67980 + 0.866082i
\(615\) −63.1412 + 94.4975i −0.102669 + 0.153655i
\(616\) −132.435 63.3813i −0.214991 0.102892i
\(617\) −539.133 806.870i −0.873798 1.30773i −0.950515 0.310678i \(-0.899444\pi\)
0.0767173 0.997053i \(-0.475556\pi\)
\(618\) 57.6804 + 45.9222i 0.0933339 + 0.0743078i
\(619\) 643.343 783.915i 1.03933 1.26642i 0.0762797 0.997086i \(-0.475696\pi\)
0.963046 0.269336i \(-0.0868042\pi\)
\(620\) −464.529 + 266.307i −0.749241 + 0.429527i
\(621\) −73.1127 39.0795i −0.117734 0.0629300i
\(622\) 385.744 + 559.168i 0.620167 + 0.898984i
\(623\) −40.1606 16.6351i −0.0644632 0.0267015i
\(624\) −179.309 104.990i −0.287354 0.168254i
\(625\) 64.4558 + 155.610i 0.103129 + 0.248976i
\(626\) 106.832 + 69.1131i 0.170659 + 0.110404i
\(627\) −58.3579 + 17.7027i −0.0930748 + 0.0282339i
\(628\) −355.617 24.3999i −0.566269 0.0388533i
\(629\) −534.068 + 52.6011i −0.849075 + 0.0836266i
\(630\) −198.290 + 109.800i −0.314745 + 0.174286i
\(631\) 315.190 + 62.6951i 0.499508 + 0.0993584i 0.438413 0.898774i \(-0.355541\pi\)
0.0610951 + 0.998132i \(0.480541\pi\)
\(632\) −43.9495 + 121.078i −0.0695404 + 0.191580i
\(633\) 110.016 21.8836i 0.173801 0.0345712i
\(634\) −58.6111 + 701.647i −0.0924465 + 1.10670i
\(635\) 110.037 362.744i 0.173287 0.571250i
\(636\) 17.4792 18.5485i 0.0274831 0.0291642i
\(637\) 332.893 + 405.631i 0.522595 + 0.636783i
\(638\) −10.9358 + 11.2652i −0.0171407 + 0.0176570i
\(639\) 447.188i 0.699825i
\(640\) 185.396 + 274.088i 0.289681 + 0.428263i
\(641\) 8.68542 0.0135498 0.00677490 0.999977i \(-0.497843\pi\)
0.00677490 + 0.999977i \(0.497843\pi\)
\(642\) 80.5927 + 78.2364i 0.125534 + 0.121863i
\(643\) 444.433 364.736i 0.691186 0.567242i −0.221870 0.975076i \(-0.571216\pi\)
0.913056 + 0.407835i \(0.133716\pi\)
\(644\) −112.473 + 119.353i −0.174647 + 0.185331i
\(645\) 66.2690 + 20.1025i 0.102743 + 0.0311666i
\(646\) −1426.28 119.142i −2.20786 0.184431i
\(647\) −75.3503 378.812i −0.116461 0.585489i −0.994308 0.106547i \(-0.966020\pi\)
0.877847 0.478942i \(-0.158980\pi\)
\(648\) −244.073 522.229i −0.376657 0.805910i
\(649\) 41.1810 207.031i 0.0634530 0.319000i
\(650\) 397.938 + 718.639i 0.612212 + 1.10560i
\(651\) 14.8720 + 150.998i 0.0228449 + 0.231948i
\(652\) 295.064 + 20.2452i 0.452553 + 0.0310509i
\(653\) 6.58437 + 21.7058i 0.0100833 + 0.0332400i 0.961838 0.273621i \(-0.0882214\pi\)
−0.951754 + 0.306861i \(0.900721\pi\)
\(654\) −44.4069 + 68.6425i −0.0679004 + 0.104958i
\(655\) −146.935 + 60.8625i −0.224328 + 0.0929198i
\(656\) −968.066 + 733.468i −1.47571 + 1.11809i
\(657\) 204.200 492.983i 0.310807 0.750355i
\(658\) 332.522 229.391i 0.505353 0.348619i
\(659\) −214.656 + 401.593i −0.325730 + 0.609397i −0.990478 0.137670i \(-0.956039\pi\)
0.664749 + 0.747067i \(0.268539\pi\)
\(660\) −18.8461 + 10.8041i −0.0285546 + 0.0163699i
\(661\) 51.1206 + 41.9536i 0.0773383 + 0.0634699i 0.672268 0.740308i \(-0.265320\pi\)
−0.594930 + 0.803778i \(0.702820\pi\)
\(662\) −360.317 + 452.574i −0.544285 + 0.683647i
\(663\) 266.188 177.861i 0.401490 0.268267i
\(664\) −273.713 776.173i −0.412218 1.16893i
\(665\) 315.705 + 210.947i 0.474744 + 0.317214i
\(666\) −172.877 + 335.302i −0.259576 + 0.503456i
\(667\) 8.26690 + 15.4663i 0.0123942 + 0.0231878i
\(668\) −54.4023 + 86.8929i −0.0814406 + 0.130079i
\(669\) −20.7171 + 210.344i −0.0309673 + 0.314416i
\(670\) 446.508 + 177.236i 0.666430 + 0.264532i
\(671\) 41.6782 + 41.6782i 0.0621136 + 0.0621136i
\(672\) 92.3775 16.0806i 0.137467 0.0239295i
\(673\) 862.576 + 862.576i 1.28169 + 1.28169i 0.939707 + 0.341982i \(0.111098\pi\)
0.341982 + 0.939707i \(0.388902\pi\)
\(674\) 253.030 109.234i 0.375416 0.162068i
\(675\) 18.3674 186.487i 0.0272110 0.276277i
\(676\) 774.441 + 1087.74i 1.14562 + 1.60908i
\(677\) 466.158 + 872.120i 0.688564 + 1.28821i 0.946704 + 0.322105i \(0.104390\pi\)
−0.258140 + 0.966107i \(0.583110\pi\)
\(678\) 6.68742 2.13744i 0.00986345 0.00315256i
\(679\) 640.608 + 428.041i 0.943458 + 0.630399i
\(680\) −504.650 + 72.4955i −0.742133 + 0.106611i
\(681\) 146.601 97.9560i 0.215274 0.143841i
\(682\) −42.3621 373.257i −0.0621145 0.547298i
\(683\) −517.738 424.896i −0.758034 0.622103i 0.173886 0.984766i \(-0.444368\pi\)
−0.931920 + 0.362663i \(0.881868\pi\)
\(684\) −614.917 + 796.325i −0.899001 + 1.16422i
\(685\) 16.5474 30.9580i 0.0241567 0.0451941i
\(686\) −720.595 132.254i −1.05043 0.192791i
\(687\) −27.9357 + 67.4427i −0.0406633 + 0.0981699i
\(688\) 598.908 + 434.736i 0.870506 + 0.631883i
\(689\) −227.920 + 94.4075i −0.330798 + 0.137021i
\(690\) 5.08636 + 23.7258i 0.00737154 + 0.0343852i
\(691\) −71.2300 234.814i −0.103083 0.339818i 0.890194 0.455581i \(-0.150569\pi\)
−0.993277 + 0.115764i \(0.963069\pi\)
\(692\) 551.940 + 274.286i 0.797601 + 0.396367i
\(693\) −15.5864 158.251i −0.0224912 0.228357i
\(694\) 329.466 1147.09i 0.474735 1.65287i
\(695\) −40.4889 + 203.552i −0.0582574 + 0.292880i
\(696\) 1.51670 9.91154i 0.00217916 0.0142407i
\(697\) −365.071 1835.34i −0.523775 2.63319i
\(698\) 400.738 338.949i 0.574123 0.485600i
\(699\) 38.0175 + 11.5325i 0.0543884 + 0.0164985i
\(700\) −346.538 131.638i −0.495054 0.188054i
\(701\) −931.372 + 764.358i −1.32863 + 1.09038i −0.339938 + 0.940448i \(0.610406\pi\)
−0.988696 + 0.149934i \(0.952094\pi\)
\(702\) −6.80598 458.755i −0.00969513 0.653497i
\(703\) 631.951 0.898935
\(704\) −228.094 + 43.2010i −0.323997 + 0.0613651i
\(705\) 59.7708i 0.0847813i
\(706\) 10.2451 + 690.565i 0.0145114 + 0.978137i
\(707\) −231.623 282.234i −0.327614 0.399199i
\(708\) 55.2619 + 122.964i 0.0780535 + 0.173677i
\(709\) 102.418 337.627i 0.144454 0.476202i −0.854619 0.519256i \(-0.826209\pi\)
0.999073 + 0.0430548i \(0.0137090\pi\)
\(710\) 203.741 172.327i 0.286959 0.242714i
\(711\) −136.828 + 27.2168i −0.192444 + 0.0382796i
\(712\) −66.7491 + 16.3950i −0.0937488 + 0.0230267i
\(713\) −411.541 81.8606i −0.577196 0.114811i
\(714\) −39.8818 + 138.855i −0.0558569 + 0.194475i
\(715\) 209.259 20.6102i 0.292670 0.0288255i
\(716\) 929.807 312.462i 1.29861 0.436399i
\(717\) −177.233 + 53.7631i −0.247187 + 0.0749834i
\(718\) 64.0574 + 298.802i 0.0892164 + 0.416159i
\(719\) 51.9986 + 125.536i 0.0723207 + 0.174598i 0.955906 0.293672i \(-0.0948775\pi\)
−0.883585 + 0.468270i \(0.844877\pi\)
\(720\) −149.903 + 325.535i −0.208198 + 0.452132i
\(721\) 297.535 + 123.243i 0.412670 + 0.170934i
\(722\) 947.580 + 173.914i 1.31244 + 0.240878i
\(723\) 5.30223 + 2.83410i 0.00733366 + 0.00391992i
\(724\) 415.530 53.4144i 0.573936 0.0737767i
\(725\) −25.1476 + 30.6425i −0.0346864 + 0.0422655i
\(726\) 14.0864 + 124.117i 0.0194028 + 0.170960i
\(727\) 617.945 + 924.820i 0.849993 + 1.27211i 0.960514 + 0.278231i \(0.0897482\pi\)
−0.110521 + 0.993874i \(0.535252\pi\)
\(728\) −879.397 224.566i −1.20796 0.308470i
\(729\) 317.238 474.781i 0.435169 0.651277i
\(730\) −303.296 + 96.9397i −0.415474 + 0.132794i
\(731\) −1005.59 + 537.501i −1.37564 + 0.735296i
\(732\) −37.1216 6.24538i −0.0507125 0.00853193i
\(733\) 192.932 + 19.0021i 0.263208 + 0.0259238i 0.228760 0.973483i \(-0.426533\pi\)
0.0344478 + 0.999406i \(0.489033\pi\)
\(734\) 1235.94 533.559i 1.68385 0.726920i
\(735\) −24.7745 + 24.7745i −0.0337069 + 0.0337069i
\(736\) −31.6027 + 257.377i −0.0429385 + 0.349697i
\(737\) −238.317 + 238.317i −0.323361 + 0.323361i
\(738\) −1222.65 485.315i −1.65670 0.657609i
\(739\) −653.645 64.3784i −0.884499 0.0871155i −0.354442 0.935078i \(-0.615329\pi\)
−0.530056 + 0.847962i \(0.677829\pi\)
\(740\) 219.385 50.4471i 0.296466 0.0681717i
\(741\) −332.477 + 177.713i −0.448687 + 0.239828i
\(742\) 51.0170 98.9493i 0.0687560 0.133355i
\(743\) −436.978 + 653.984i −0.588127 + 0.880194i −0.999511 0.0312681i \(-0.990045\pi\)
0.411384 + 0.911462i \(0.365045\pi\)
\(744\) 160.298 + 178.499i 0.215454 + 0.239918i
\(745\) −357.462 534.980i −0.479815 0.718093i
\(746\) −448.787 + 563.697i −0.601592 + 0.755627i
\(747\) 565.493 689.055i 0.757018 0.922430i
\(748\) 93.6295 345.207i 0.125173 0.461507i
\(749\) 432.694 + 231.280i 0.577695 + 0.308785i
\(750\) −106.767 + 73.6538i −0.142357 + 0.0982051i
\(751\) −58.2559 24.1304i −0.0775711 0.0321310i 0.343560 0.939131i \(-0.388367\pi\)
−0.421132 + 0.907000i \(0.638367\pi\)
\(752\) 209.011 603.584i 0.277941 0.802639i
\(753\) 31.0542 + 74.9715i 0.0412407 + 0.0995638i
\(754\) −52.7183