Properties

Label 273.2.cg.b.115.8
Level $273$
Weight $2$
Character 273.115
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.8
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.b.19.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41061 - 0.377973i) q^{2} -1.00000i q^{3} +(0.114915 - 0.0663464i) q^{4} +(1.70489 + 0.456824i) q^{5} +(-0.377973 - 1.41061i) q^{6} +(1.96341 - 1.77342i) q^{7} +(-1.92826 + 1.92826i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(1.41061 - 0.377973i) q^{2} -1.00000i q^{3} +(0.114915 - 0.0663464i) q^{4} +(1.70489 + 0.456824i) q^{5} +(-0.377973 - 1.41061i) q^{6} +(1.96341 - 1.77342i) q^{7} +(-1.92826 + 1.92826i) q^{8} -1.00000 q^{9} +2.57761 q^{10} +(1.59480 - 1.59480i) q^{11} +(-0.0663464 - 0.114915i) q^{12} +(2.06370 - 2.95654i) q^{13} +(2.09931 - 3.24373i) q^{14} +(0.456824 - 1.70489i) q^{15} +(-2.12389 + 3.67868i) q^{16} +(0.813654 + 1.40929i) q^{17} +(-1.41061 + 0.377973i) q^{18} +(-5.08160 + 5.08160i) q^{19} +(0.226226 - 0.0606172i) q^{20} +(-1.77342 - 1.96341i) q^{21} +(1.64685 - 2.85244i) q^{22} +(-5.63098 - 3.25105i) q^{23} +(1.92826 + 1.92826i) q^{24} +(-1.63217 - 0.942332i) q^{25} +(1.79359 - 4.95056i) q^{26} +1.00000i q^{27} +(0.107966 - 0.334058i) q^{28} +(3.90230 + 6.75898i) q^{29} -2.57761i q^{30} +(1.68884 + 6.30283i) q^{31} +(-0.193962 + 0.723875i) q^{32} +(-1.59480 - 1.59480i) q^{33} +(1.68042 + 1.68042i) q^{34} +(4.15754 - 2.12655i) q^{35} +(-0.114915 + 0.0663464i) q^{36} +(-0.545268 - 2.03497i) q^{37} +(-5.24746 + 9.08887i) q^{38} +(-2.95654 - 2.06370i) q^{39} +(-4.16834 + 2.40659i) q^{40} +(6.84645 + 1.83450i) q^{41} +(-3.24373 - 2.09931i) q^{42} +(-9.48195 - 5.47441i) q^{43} +(0.0774577 - 0.289076i) q^{44} +(-1.70489 - 0.456824i) q^{45} +(-9.17195 - 2.45762i) q^{46} +(-3.34284 + 12.4756i) q^{47} +(3.67868 + 2.12389i) q^{48} +(0.709963 - 6.96390i) q^{49} +(-2.65853 - 0.712352i) q^{50} +(1.40929 - 0.813654i) q^{51} +(0.0409944 - 0.476671i) q^{52} +(-3.00939 + 5.21242i) q^{53} +(0.377973 + 1.41061i) q^{54} +(3.44750 - 1.99041i) q^{55} +(-0.366351 + 7.20557i) q^{56} +(5.08160 + 5.08160i) q^{57} +(8.05934 + 8.05934i) q^{58} +(2.02441 - 7.55521i) q^{59} +(-0.0606172 - 0.226226i) q^{60} +6.26701i q^{61} +(4.76460 + 8.25252i) q^{62} +(-1.96341 + 1.77342i) q^{63} -7.40114i q^{64} +(4.86900 - 4.09784i) q^{65} +(-2.85244 - 1.64685i) q^{66} +(-3.75123 - 3.75123i) q^{67} +(0.187002 + 0.107966i) q^{68} +(-3.25105 + 5.63098i) q^{69} +(5.06090 - 4.57118i) q^{70} +(6.88920 - 1.84596i) q^{71} +(1.92826 - 1.92826i) q^{72} +(-4.55425 + 1.22031i) q^{73} +(-1.53832 - 2.66446i) q^{74} +(-0.942332 + 1.63217i) q^{75} +(-0.246808 + 0.921099i) q^{76} +(0.302997 - 5.95950i) q^{77} +(-4.95056 - 1.79359i) q^{78} +(-4.67565 - 8.09846i) q^{79} +(-5.30151 + 5.30151i) q^{80} +1.00000 q^{81} +10.3511 q^{82} +(3.82650 - 3.82650i) q^{83} +(-0.334058 - 0.107966i) q^{84} +(0.743393 + 2.77438i) q^{85} +(-15.4445 - 4.13835i) q^{86} +(6.75898 - 3.90230i) q^{87} +6.15037i q^{88} +(4.91594 - 1.31722i) q^{89} -2.57761 q^{90} +(-1.19131 - 9.46471i) q^{91} -0.862782 q^{92} +(6.30283 - 1.68884i) q^{93} +18.8618i q^{94} +(-10.9850 + 6.34217i) q^{95} +(0.723875 + 0.193962i) q^{96} +(-2.57958 - 9.62711i) q^{97} +(-1.63068 - 10.0917i) q^{98} +(-1.59480 + 1.59480i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 8q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 8q^{7} - 40q^{9} + 4q^{11} - 24q^{12} - 18q^{14} + 32q^{16} + 4q^{17} + 14q^{19} + 14q^{20} + 2q^{21} + 4q^{22} + 12q^{23} + 24q^{25} - 32q^{26} + 16q^{28} + 8q^{29} + 14q^{31} - 26q^{32} - 4q^{33} - 24q^{34} + 26q^{35} + 36q^{37} - 8q^{38} + 18q^{39} - 30q^{40} - 2q^{41} - 66q^{43} - 32q^{44} - 26q^{46} - 4q^{47} + 24q^{48} - 14q^{49} - 20q^{50} + 2q^{52} - 8q^{53} - 42q^{55} + 46q^{56} - 14q^{57} + 24q^{58} + 14q^{59} + 2q^{60} + 24q^{62} + 8q^{63} + 28q^{65} - 18q^{66} - 44q^{67} - 18q^{68} + 4q^{69} - 4q^{70} - 6q^{71} + 14q^{73} - 20q^{74} + 24q^{75} - 64q^{76} + 24q^{77} + 8q^{78} + 20q^{80} + 40q^{81} + 48q^{82} - 12q^{83} + 22q^{84} + 2q^{85} - 60q^{86} + 18q^{87} - 2q^{89} - 14q^{91} + 236q^{92} - 8q^{93} + 24q^{95} + 16q^{96} - 62q^{97} - 88q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41061 0.377973i 0.997454 0.267267i 0.277076 0.960848i \(-0.410635\pi\)
0.720379 + 0.693581i \(0.243968\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 0.114915 0.0663464i 0.0574576 0.0331732i
\(5\) 1.70489 + 0.456824i 0.762450 + 0.204298i 0.619033 0.785365i \(-0.287525\pi\)
0.143416 + 0.989662i \(0.454191\pi\)
\(6\) −0.377973 1.41061i −0.154307 0.575880i
\(7\) 1.96341 1.77342i 0.742100 0.670290i
\(8\) −1.92826 + 1.92826i −0.681742 + 0.681742i
\(9\) −1.00000 −0.333333
\(10\) 2.57761 0.815111
\(11\) 1.59480 1.59480i 0.480850 0.480850i −0.424553 0.905403i \(-0.639569\pi\)
0.905403 + 0.424553i \(0.139569\pi\)
\(12\) −0.0663464 0.114915i −0.0191525 0.0331732i
\(13\) 2.06370 2.95654i 0.572367 0.819998i
\(14\) 2.09931 3.24373i 0.561064 0.866922i
\(15\) 0.456824 1.70489i 0.117951 0.440201i
\(16\) −2.12389 + 3.67868i −0.530972 + 0.919671i
\(17\) 0.813654 + 1.40929i 0.197340 + 0.341803i 0.947665 0.319266i \(-0.103436\pi\)
−0.750325 + 0.661069i \(0.770103\pi\)
\(18\) −1.41061 + 0.377973i −0.332485 + 0.0890890i
\(19\) −5.08160 + 5.08160i −1.16580 + 1.16580i −0.182614 + 0.983185i \(0.558456\pi\)
−0.983185 + 0.182614i \(0.941544\pi\)
\(20\) 0.226226 0.0606172i 0.0505858 0.0135544i
\(21\) −1.77342 1.96341i −0.386992 0.428451i
\(22\) 1.64685 2.85244i 0.351111 0.608141i
\(23\) −5.63098 3.25105i −1.17414 0.677891i −0.219490 0.975615i \(-0.570439\pi\)
−0.954652 + 0.297724i \(0.903773\pi\)
\(24\) 1.92826 + 1.92826i 0.393604 + 0.393604i
\(25\) −1.63217 0.942332i −0.326433 0.188466i
\(26\) 1.79359 4.95056i 0.351751 0.970885i
\(27\) 1.00000i 0.192450i
\(28\) 0.107966 0.334058i 0.0204036 0.0631311i
\(29\) 3.90230 + 6.75898i 0.724638 + 1.25511i 0.959123 + 0.282991i \(0.0913266\pi\)
−0.234484 + 0.972120i \(0.575340\pi\)
\(30\) 2.57761i 0.470604i
\(31\) 1.68884 + 6.30283i 0.303324 + 1.13202i 0.934378 + 0.356283i \(0.115956\pi\)
−0.631054 + 0.775739i \(0.717377\pi\)
\(32\) −0.193962 + 0.723875i −0.0342879 + 0.127964i
\(33\) −1.59480 1.59480i −0.277619 0.277619i
\(34\) 1.68042 + 1.68042i 0.288190 + 0.288190i
\(35\) 4.15754 2.12655i 0.702752 0.359453i
\(36\) −0.114915 + 0.0663464i −0.0191525 + 0.0110577i
\(37\) −0.545268 2.03497i −0.0896415 0.334547i 0.906511 0.422182i \(-0.138736\pi\)
−0.996153 + 0.0876352i \(0.972069\pi\)
\(38\) −5.24746 + 9.08887i −0.851251 + 1.47441i
\(39\) −2.95654 2.06370i −0.473426 0.330456i
\(40\) −4.16834 + 2.40659i −0.659072 + 0.380516i
\(41\) 6.84645 + 1.83450i 1.06924 + 0.286501i 0.750179 0.661235i \(-0.229967\pi\)
0.319057 + 0.947736i \(0.396634\pi\)
\(42\) −3.24373 2.09931i −0.500518 0.323930i
\(43\) −9.48195 5.47441i −1.44598 0.834839i −0.447745 0.894161i \(-0.647773\pi\)
−0.998239 + 0.0593222i \(0.981106\pi\)
\(44\) 0.0774577 0.289076i 0.0116772 0.0435799i
\(45\) −1.70489 0.456824i −0.254150 0.0680993i
\(46\) −9.17195 2.45762i −1.35233 0.362356i
\(47\) −3.34284 + 12.4756i −0.487603 + 1.81976i 0.0804402 + 0.996759i \(0.474367\pi\)
−0.568043 + 0.822999i \(0.692299\pi\)
\(48\) 3.67868 + 2.12389i 0.530972 + 0.306557i
\(49\) 0.709963 6.96390i 0.101423 0.994843i
\(50\) −2.65853 0.712352i −0.375973 0.100742i
\(51\) 1.40929 0.813654i 0.197340 0.113934i
\(52\) 0.0409944 0.476671i 0.00568490 0.0661024i
\(53\) −3.00939 + 5.21242i −0.413371 + 0.715980i −0.995256 0.0972910i \(-0.968982\pi\)
0.581884 + 0.813271i \(0.302316\pi\)
\(54\) 0.377973 + 1.41061i 0.0514356 + 0.191960i
\(55\) 3.44750 1.99041i 0.464861 0.268387i
\(56\) −0.366351 + 7.20557i −0.0489557 + 0.962885i
\(57\) 5.08160 + 5.08160i 0.673074 + 0.673074i
\(58\) 8.05934 + 8.05934i 1.05824 + 1.05824i
\(59\) 2.02441 7.55521i 0.263556 0.983604i −0.699572 0.714562i \(-0.746626\pi\)
0.963128 0.269042i \(-0.0867072\pi\)
\(60\) −0.0606172 0.226226i −0.00782565 0.0292057i
\(61\) 6.26701i 0.802408i 0.915989 + 0.401204i \(0.131408\pi\)
−0.915989 + 0.401204i \(0.868592\pi\)
\(62\) 4.76460 + 8.25252i 0.605104 + 1.04807i
\(63\) −1.96341 + 1.77342i −0.247367 + 0.223430i
\(64\) 7.40114i 0.925142i
\(65\) 4.86900 4.09784i 0.603925 0.508274i
\(66\) −2.85244 1.64685i −0.351111 0.202714i
\(67\) −3.75123 3.75123i −0.458285 0.458285i 0.439807 0.898092i \(-0.355047\pi\)
−0.898092 + 0.439807i \(0.855047\pi\)
\(68\) 0.187002 + 0.107966i 0.0226774 + 0.0130928i
\(69\) −3.25105 + 5.63098i −0.391381 + 0.677891i
\(70\) 5.06090 4.57118i 0.604893 0.546360i
\(71\) 6.88920 1.84596i 0.817598 0.219075i 0.174302 0.984692i \(-0.444233\pi\)
0.643296 + 0.765617i \(0.277566\pi\)
\(72\) 1.92826 1.92826i 0.227247 0.227247i
\(73\) −4.55425 + 1.22031i −0.533035 + 0.142826i −0.515289 0.857016i \(-0.672315\pi\)
−0.0177454 + 0.999843i \(0.505649\pi\)
\(74\) −1.53832 2.66446i −0.178827 0.309737i
\(75\) −0.942332 + 1.63217i −0.108811 + 0.188466i
\(76\) −0.246808 + 0.921099i −0.0283108 + 0.105657i
\(77\) 0.302997 5.95950i 0.0345297 0.679148i
\(78\) −4.95056 1.79359i −0.560541 0.203084i
\(79\) −4.67565 8.09846i −0.526052 0.911148i −0.999539 0.0303476i \(-0.990339\pi\)
0.473488 0.880800i \(-0.342995\pi\)
\(80\) −5.30151 + 5.30151i −0.592726 + 0.592726i
\(81\) 1.00000 0.111111
\(82\) 10.3511 1.14309
\(83\) 3.82650 3.82650i 0.420013 0.420013i −0.465195 0.885208i \(-0.654016\pi\)
0.885208 + 0.465195i \(0.154016\pi\)
\(84\) −0.334058 0.107966i −0.0364487 0.0117800i
\(85\) 0.743393 + 2.77438i 0.0806322 + 0.300924i
\(86\) −15.4445 4.13835i −1.66543 0.446250i
\(87\) 6.75898 3.90230i 0.724638 0.418370i
\(88\) 6.15037i 0.655631i
\(89\) 4.91594 1.31722i 0.521089 0.139625i 0.0113186 0.999936i \(-0.496397\pi\)
0.509770 + 0.860311i \(0.329730\pi\)
\(90\) −2.57761 −0.271704
\(91\) −1.19131 9.46471i −0.124883 0.992171i
\(92\) −0.862782 −0.0899512
\(93\) 6.30283 1.68884i 0.653573 0.175124i
\(94\) 18.8618i 1.94545i
\(95\) −10.9850 + 6.34217i −1.12703 + 0.650693i
\(96\) 0.723875 + 0.193962i 0.0738802 + 0.0197961i
\(97\) −2.57958 9.62711i −0.261916 0.977485i −0.964111 0.265500i \(-0.914463\pi\)
0.702195 0.711985i \(-0.252204\pi\)
\(98\) −1.63068 10.0917i −0.164724 1.01942i
\(99\) −1.59480 + 1.59480i −0.160283 + 0.160283i
\(100\) −0.250081 −0.0250081
\(101\) 6.81498 0.678115 0.339058 0.940766i \(-0.389892\pi\)
0.339058 + 0.940766i \(0.389892\pi\)
\(102\) 1.68042 1.68042i 0.166387 0.166387i
\(103\) −5.66334 9.80919i −0.558025 0.966528i −0.997661 0.0683520i \(-0.978226\pi\)
0.439636 0.898176i \(-0.355107\pi\)
\(104\) 1.72164 + 9.68032i 0.168821 + 0.949233i
\(105\) −2.12655 4.15754i −0.207530 0.405734i
\(106\) −2.27493 + 8.49017i −0.220961 + 0.824638i
\(107\) 2.27413 3.93890i 0.219848 0.380788i −0.734913 0.678161i \(-0.762777\pi\)
0.954761 + 0.297373i \(0.0961105\pi\)
\(108\) 0.0663464 + 0.114915i 0.00638418 + 0.0110577i
\(109\) −2.02887 + 0.543633i −0.194330 + 0.0520706i −0.354671 0.934991i \(-0.615407\pi\)
0.160341 + 0.987062i \(0.448741\pi\)
\(110\) 4.11077 4.11077i 0.391946 0.391946i
\(111\) −2.03497 + 0.545268i −0.193151 + 0.0517546i
\(112\) 2.35378 + 10.9893i 0.222412 + 1.03839i
\(113\) −3.95721 + 6.85409i −0.372263 + 0.644779i −0.989913 0.141674i \(-0.954751\pi\)
0.617650 + 0.786453i \(0.288085\pi\)
\(114\) 9.08887 + 5.24746i 0.851251 + 0.491470i
\(115\) −8.11505 8.11505i −0.756732 0.756732i
\(116\) 0.896867 + 0.517807i 0.0832720 + 0.0480771i
\(117\) −2.06370 + 2.95654i −0.190789 + 0.273333i
\(118\) 11.4226i 1.05154i
\(119\) 4.09680 + 1.32406i 0.375553 + 0.121377i
\(120\) 2.40659 + 4.16834i 0.219691 + 0.380516i
\(121\) 5.91323i 0.537566i
\(122\) 2.36876 + 8.84032i 0.214457 + 0.800365i
\(123\) 1.83450 6.84645i 0.165411 0.617324i
\(124\) 0.612243 + 0.612243i 0.0549811 + 0.0549811i
\(125\) −8.59251 8.59251i −0.768538 0.768538i
\(126\) −2.09931 + 3.24373i −0.187021 + 0.288974i
\(127\) 14.3203 8.26781i 1.27072 0.733650i 0.295595 0.955313i \(-0.404482\pi\)
0.975123 + 0.221664i \(0.0711487\pi\)
\(128\) −3.18535 11.8879i −0.281548 1.05075i
\(129\) −5.47441 + 9.48195i −0.481995 + 0.834839i
\(130\) 5.31940 7.62081i 0.466542 0.668389i
\(131\) 11.0979 6.40737i 0.969628 0.559815i 0.0705050 0.997511i \(-0.477539\pi\)
0.899123 + 0.437697i \(0.144206\pi\)
\(132\) −0.289076 0.0774577i −0.0251608 0.00674183i
\(133\) −0.965457 + 18.9891i −0.0837157 + 1.64656i
\(134\) −6.70939 3.87367i −0.579603 0.334634i
\(135\) −0.456824 + 1.70489i −0.0393171 + 0.146734i
\(136\) −4.28641 1.14854i −0.367556 0.0984864i
\(137\) 8.51271 + 2.28097i 0.727290 + 0.194877i 0.603422 0.797422i \(-0.293803\pi\)
0.123868 + 0.992299i \(0.460470\pi\)
\(138\) −2.45762 + 9.17195i −0.209206 + 0.780768i
\(139\) 10.9213 + 6.30540i 0.926330 + 0.534817i 0.885649 0.464355i \(-0.153714\pi\)
0.0406813 + 0.999172i \(0.487047\pi\)
\(140\) 0.336676 0.520211i 0.0284543 0.0439659i
\(141\) 12.4756 + 3.34284i 1.05064 + 0.281518i
\(142\) 9.02028 5.20786i 0.756965 0.437034i
\(143\) −1.42391 8.00628i −0.119074 0.669519i
\(144\) 2.12389 3.67868i 0.176991 0.306557i
\(145\) 3.56532 + 13.3060i 0.296084 + 1.10500i
\(146\) −5.96304 + 3.44276i −0.493505 + 0.284925i
\(147\) −6.96390 0.709963i −0.574373 0.0585568i
\(148\) −0.197672 0.197672i −0.0162486 0.0162486i
\(149\) 5.24546 + 5.24546i 0.429725 + 0.429725i 0.888535 0.458810i \(-0.151724\pi\)
−0.458810 + 0.888535i \(0.651724\pi\)
\(150\) −0.712352 + 2.65853i −0.0581633 + 0.217068i
\(151\) −3.65054 13.6240i −0.297077 1.10871i −0.939554 0.342401i \(-0.888760\pi\)
0.642477 0.766305i \(-0.277907\pi\)
\(152\) 19.5973i 1.58955i
\(153\) −0.813654 1.40929i −0.0657800 0.113934i
\(154\) −1.82511 8.52107i −0.147072 0.686647i
\(155\) 11.5171i 0.925078i
\(156\) −0.476671 0.0409944i −0.0381642 0.00328218i
\(157\) −4.64586 2.68229i −0.370780 0.214070i 0.303019 0.952984i \(-0.402005\pi\)
−0.673799 + 0.738915i \(0.735339\pi\)
\(158\) −9.65653 9.65653i −0.768232 0.768232i
\(159\) 5.21242 + 3.00939i 0.413371 + 0.238660i
\(160\) −0.661367 + 1.14552i −0.0522856 + 0.0905614i
\(161\) −16.8214 + 3.60295i −1.32571 + 0.283952i
\(162\) 1.41061 0.377973i 0.110828 0.0296963i
\(163\) −11.3721 + 11.3721i −0.890731 + 0.890731i −0.994592 0.103861i \(-0.966880\pi\)
0.103861 + 0.994592i \(0.466880\pi\)
\(164\) 0.908474 0.243425i 0.0709399 0.0190083i
\(165\) −1.99041 3.44750i −0.154954 0.268387i
\(166\) 3.95140 6.84402i 0.306688 0.531199i
\(167\) 1.36025 5.07654i 0.105260 0.392834i −0.893115 0.449829i \(-0.851485\pi\)
0.998375 + 0.0569944i \(0.0181517\pi\)
\(168\) 7.20557 + 0.366351i 0.555922 + 0.0282646i
\(169\) −4.48231 12.2028i −0.344793 0.938679i
\(170\) 2.09728 + 3.63259i 0.160854 + 0.278607i
\(171\) 5.08160 5.08160i 0.388600 0.388600i
\(172\) −1.45283 −0.110777
\(173\) 5.71254 0.434316 0.217158 0.976136i \(-0.430321\pi\)
0.217158 + 0.976136i \(0.430321\pi\)
\(174\) 8.05934 8.05934i 0.610977 0.610977i
\(175\) −4.87576 + 1.04433i −0.368573 + 0.0789441i
\(176\) 2.47959 + 9.25394i 0.186906 + 0.697542i
\(177\) −7.55521 2.02441i −0.567884 0.152164i
\(178\) 6.43662 3.71618i 0.482445 0.278540i
\(179\) 5.98541i 0.447371i 0.974661 + 0.223685i \(0.0718088\pi\)
−0.974661 + 0.223685i \(0.928191\pi\)
\(180\) −0.226226 + 0.0606172i −0.0168619 + 0.00451814i
\(181\) 14.3000 1.06291 0.531455 0.847086i \(-0.321645\pi\)
0.531455 + 0.847086i \(0.321645\pi\)
\(182\) −5.25788 12.9008i −0.389740 0.956268i
\(183\) 6.26701 0.463270
\(184\) 17.1268 4.58913i 1.26261 0.338315i
\(185\) 3.71849i 0.273389i
\(186\) 8.25252 4.76460i 0.605104 0.349357i
\(187\) 3.54515 + 0.949920i 0.259247 + 0.0694650i
\(188\) 0.443570 + 1.65543i 0.0323507 + 0.120734i
\(189\) 1.77342 + 1.96341i 0.128997 + 0.142817i
\(190\) −13.0984 + 13.0984i −0.950255 + 0.950255i
\(191\) −7.65775 −0.554096 −0.277048 0.960856i \(-0.589356\pi\)
−0.277048 + 0.960856i \(0.589356\pi\)
\(192\) −7.40114 −0.534131
\(193\) −4.55803 + 4.55803i −0.328094 + 0.328094i −0.851861 0.523767i \(-0.824526\pi\)
0.523767 + 0.851861i \(0.324526\pi\)
\(194\) −7.27757 12.6051i −0.522499 0.904995i
\(195\) −4.09784 4.86900i −0.293452 0.348676i
\(196\) −0.380444 0.847362i −0.0271746 0.0605259i
\(197\) 5.31612 19.8400i 0.378758 1.41354i −0.469017 0.883189i \(-0.655392\pi\)
0.847775 0.530355i \(-0.177941\pi\)
\(198\) −1.64685 + 2.85244i −0.117037 + 0.202714i
\(199\) 3.37252 + 5.84137i 0.239071 + 0.414084i 0.960448 0.278459i \(-0.0898237\pi\)
−0.721377 + 0.692543i \(0.756490\pi\)
\(200\) 4.96430 1.33018i 0.351029 0.0940579i
\(201\) −3.75123 + 3.75123i −0.264591 + 0.264591i
\(202\) 9.61329 2.57587i 0.676389 0.181238i
\(203\) 19.6483 + 6.35024i 1.37904 + 0.445699i
\(204\) 0.107966 0.187002i 0.00755913 0.0130928i
\(205\) 10.8344 + 6.25524i 0.756707 + 0.436885i
\(206\) −11.6964 11.6964i −0.814926 0.814926i
\(207\) 5.63098 + 3.25105i 0.391381 + 0.225964i
\(208\) 6.49313 + 13.8711i 0.450217 + 0.961785i
\(209\) 16.2083i 1.12115i
\(210\) −4.57118 5.06090i −0.315441 0.349235i
\(211\) 8.08382 + 14.0016i 0.556513 + 0.963910i 0.997784 + 0.0665355i \(0.0211946\pi\)
−0.441271 + 0.897374i \(0.645472\pi\)
\(212\) 0.798648i 0.0548514i
\(213\) −1.84596 6.88920i −0.126483 0.472041i
\(214\) 1.71911 6.41582i 0.117516 0.438577i
\(215\) −13.6648 13.6648i −0.931934 0.931934i
\(216\) −1.92826 1.92826i −0.131201 0.131201i
\(217\) 14.4935 + 9.38003i 0.983879 + 0.636758i
\(218\) −2.65647 + 1.53371i −0.179919 + 0.103876i
\(219\) 1.22031 + 4.55425i 0.0824607 + 0.307748i
\(220\) 0.264114 0.457458i 0.0178065 0.0308418i
\(221\) 5.84576 + 0.502744i 0.393228 + 0.0338182i
\(222\) −2.66446 + 1.53832i −0.178827 + 0.103246i
\(223\) 6.29395 + 1.68646i 0.421474 + 0.112934i 0.463321 0.886190i \(-0.346658\pi\)
−0.0418472 + 0.999124i \(0.513324\pi\)
\(224\) 0.902908 + 1.76524i 0.0603281 + 0.117945i
\(225\) 1.63217 + 0.942332i 0.108811 + 0.0628221i
\(226\) −2.99144 + 11.1642i −0.198987 + 0.742631i
\(227\) −10.1500 2.71970i −0.673682 0.180513i −0.0942692 0.995547i \(-0.530051\pi\)
−0.579413 + 0.815034i \(0.696718\pi\)
\(228\) 0.921099 + 0.246808i 0.0610013 + 0.0163452i
\(229\) 1.12133 4.18487i 0.0740997 0.276544i −0.918928 0.394425i \(-0.870944\pi\)
0.993028 + 0.117881i \(0.0376103\pi\)
\(230\) −14.5145 8.37993i −0.957055 0.552556i
\(231\) −5.95950 0.302997i −0.392106 0.0199358i
\(232\) −20.5577 5.50841i −1.34968 0.361645i
\(233\) −13.8386 + 7.98973i −0.906598 + 0.523425i −0.879335 0.476204i \(-0.842013\pi\)
−0.0272631 + 0.999628i \(0.508679\pi\)
\(234\) −1.79359 + 4.95056i −0.117250 + 0.323628i
\(235\) −11.3983 + 19.7425i −0.743545 + 1.28786i
\(236\) −0.268625 1.00252i −0.0174860 0.0652586i
\(237\) −8.09846 + 4.67565i −0.526052 + 0.303716i
\(238\) 6.27946 + 0.319265i 0.407037 + 0.0206949i
\(239\) −1.84753 1.84753i −0.119507 0.119507i 0.644824 0.764331i \(-0.276931\pi\)
−0.764331 + 0.644824i \(0.776931\pi\)
\(240\) 5.30151 + 5.30151i 0.342211 + 0.342211i
\(241\) −5.09222 + 19.0044i −0.328019 + 1.22418i 0.583223 + 0.812312i \(0.301791\pi\)
−0.911242 + 0.411871i \(0.864875\pi\)
\(242\) 2.23504 + 8.34128i 0.143674 + 0.536198i
\(243\) 1.00000i 0.0641500i
\(244\) 0.415793 + 0.720175i 0.0266184 + 0.0461045i
\(245\) 4.39169 11.5484i 0.280575 0.737797i
\(246\) 10.3511i 0.659961i
\(247\) 4.53709 + 25.5108i 0.288688 + 1.62322i
\(248\) −15.4100 8.89696i −0.978536 0.564958i
\(249\) −3.82650 3.82650i −0.242494 0.242494i
\(250\) −15.3684 8.87298i −0.971986 0.561176i
\(251\) −3.65679 + 6.33375i −0.230815 + 0.399783i −0.958048 0.286608i \(-0.907472\pi\)
0.727234 + 0.686390i \(0.240806\pi\)
\(252\) −0.107966 + 0.334058i −0.00680121 + 0.0210437i
\(253\) −14.1651 + 3.79552i −0.890550 + 0.238622i
\(254\) 17.0754 17.0754i 1.07140 1.07140i
\(255\) 2.77438 0.743393i 0.173738 0.0465530i
\(256\) −1.58546 2.74610i −0.0990912 0.171631i
\(257\) 4.71541 8.16733i 0.294139 0.509464i −0.680645 0.732613i \(-0.738300\pi\)
0.974784 + 0.223149i \(0.0716338\pi\)
\(258\) −4.13835 + 15.4445i −0.257643 + 0.961535i
\(259\) −4.67944 3.02849i −0.290766 0.188181i
\(260\) 0.287645 0.793944i 0.0178390 0.0492383i
\(261\) −3.90230 6.75898i −0.241546 0.418370i
\(262\) 13.2330 13.2330i 0.817539 0.817539i
\(263\) −4.60736 −0.284102 −0.142051 0.989859i \(-0.545370\pi\)
−0.142051 + 0.989859i \(0.545370\pi\)
\(264\) 6.15037 0.378529
\(265\) −7.51183 + 7.51183i −0.461448 + 0.461448i
\(266\) 5.81546 + 27.1512i 0.356569 + 1.66474i
\(267\) −1.31722 4.91594i −0.0806127 0.300851i
\(268\) −0.679954 0.182193i −0.0415348 0.0111292i
\(269\) −11.7137 + 6.76289i −0.714195 + 0.412341i −0.812612 0.582805i \(-0.801955\pi\)
0.0984174 + 0.995145i \(0.468622\pi\)
\(270\) 2.57761i 0.156868i
\(271\) −17.1433 + 4.59354i −1.04138 + 0.279038i −0.738687 0.674049i \(-0.764554\pi\)
−0.302697 + 0.953087i \(0.597887\pi\)
\(272\) −6.91244 −0.419128
\(273\) −9.46471 + 1.19131i −0.572830 + 0.0721013i
\(274\) 12.8703 0.777522
\(275\) −4.10581 + 1.10015i −0.247590 + 0.0663415i
\(276\) 0.862782i 0.0519334i
\(277\) 10.0049 5.77632i 0.601135 0.347065i −0.168353 0.985727i \(-0.553845\pi\)
0.769488 + 0.638661i \(0.220511\pi\)
\(278\) 17.7890 + 4.76654i 1.06691 + 0.285878i
\(279\) −1.68884 6.30283i −0.101108 0.377341i
\(280\) −3.91626 + 12.1173i −0.234042 + 0.724150i
\(281\) −11.8978 + 11.8978i −0.709764 + 0.709764i −0.966486 0.256721i \(-0.917358\pi\)
0.256721 + 0.966486i \(0.417358\pi\)
\(282\) 18.8618 1.12320
\(283\) 21.6412 1.28644 0.643219 0.765682i \(-0.277598\pi\)
0.643219 + 0.765682i \(0.277598\pi\)
\(284\) 0.669202 0.669202i 0.0397099 0.0397099i
\(285\) 6.34217 + 10.9850i 0.375678 + 0.650693i
\(286\) −5.03474 10.7556i −0.297711 0.635990i
\(287\) 16.6957 8.53975i 0.985518 0.504086i
\(288\) 0.193962 0.723875i 0.0114293 0.0426548i
\(289\) 7.17594 12.4291i 0.422114 0.731123i
\(290\) 10.0586 + 17.4220i 0.590661 + 1.02305i
\(291\) −9.62711 + 2.57958i −0.564351 + 0.151217i
\(292\) −0.442390 + 0.442390i −0.0258889 + 0.0258889i
\(293\) 9.50719 2.54744i 0.555416 0.148823i 0.0298165 0.999555i \(-0.490508\pi\)
0.525600 + 0.850732i \(0.323841\pi\)
\(294\) −10.0917 + 1.63068i −0.588561 + 0.0951033i
\(295\) 6.90280 11.9560i 0.401896 0.696105i
\(296\) 4.97536 + 2.87253i 0.289187 + 0.166962i
\(297\) 1.59480 + 1.59480i 0.0925397 + 0.0925397i
\(298\) 9.38196 + 5.41668i 0.543482 + 0.313780i
\(299\) −21.2325 + 9.93907i −1.22791 + 0.574791i
\(300\) 0.250081i 0.0144384i
\(301\) −28.3254 + 6.06697i −1.63265 + 0.349694i
\(302\) −10.2990 17.8384i −0.592641 1.02648i
\(303\) 6.81498i 0.391510i
\(304\) −7.90084 29.4863i −0.453144 1.69116i
\(305\) −2.86292 + 10.6846i −0.163930 + 0.611796i
\(306\) −1.68042 1.68042i −0.0960634 0.0960634i
\(307\) −16.2375 16.2375i −0.926725 0.926725i 0.0707682 0.997493i \(-0.477455\pi\)
−0.997493 + 0.0707682i \(0.977455\pi\)
\(308\) −0.360572 0.704940i −0.0205455 0.0401677i
\(309\) −9.80919 + 5.66334i −0.558025 + 0.322176i
\(310\) 4.35316 + 16.2462i 0.247243 + 0.922723i
\(311\) −6.35536 + 11.0078i −0.360379 + 0.624195i −0.988023 0.154305i \(-0.950686\pi\)
0.627644 + 0.778501i \(0.284019\pi\)
\(312\) 9.68032 1.72164i 0.548040 0.0974686i
\(313\) 1.51101 0.872380i 0.0854072 0.0493099i −0.456688 0.889627i \(-0.650964\pi\)
0.542095 + 0.840317i \(0.317631\pi\)
\(314\) −7.56734 2.02766i −0.427049 0.114428i
\(315\) −4.15754 + 2.12655i −0.234251 + 0.119818i
\(316\) −1.07461 0.620425i −0.0604514 0.0349016i
\(317\) −6.21636 + 23.1998i −0.349146 + 1.30303i 0.538548 + 0.842595i \(0.318973\pi\)
−0.887694 + 0.460434i \(0.847694\pi\)
\(318\) 8.49017 + 2.27493i 0.476105 + 0.127572i
\(319\) 17.0026 + 4.55583i 0.951963 + 0.255078i
\(320\) 3.38101 12.6181i 0.189004 0.705374i
\(321\) −3.93890 2.27413i −0.219848 0.126929i
\(322\) −22.3667 + 11.4404i −1.24645 + 0.637549i
\(323\) −11.2961 3.02678i −0.628532 0.168415i
\(324\) 0.114915 0.0663464i 0.00638418 0.00368591i
\(325\) −6.15435 + 2.88089i −0.341382 + 0.159803i
\(326\) −11.7433 + 20.3400i −0.650400 + 1.12653i
\(327\) 0.543633 + 2.02887i 0.0300630 + 0.112197i
\(328\) −16.7391 + 9.66433i −0.924263 + 0.533623i
\(329\) 15.5612 + 30.4230i 0.857916 + 1.67728i
\(330\) −4.11077 4.11077i −0.226290 0.226290i
\(331\) −10.9866 10.9866i −0.603879 0.603879i 0.337461 0.941340i \(-0.390432\pi\)
−0.941340 + 0.337461i \(0.890432\pi\)
\(332\) 0.185849 0.693597i 0.0101998 0.0380661i
\(333\) 0.545268 + 2.03497i 0.0298805 + 0.111516i
\(334\) 7.67517i 0.419967i
\(335\) −4.68178 8.10908i −0.255793 0.443046i
\(336\) 10.9893 2.35378i 0.599516 0.128409i
\(337\) 4.66674i 0.254213i 0.991889 + 0.127107i \(0.0405691\pi\)
−0.991889 + 0.127107i \(0.959431\pi\)
\(338\) −10.9351 15.5193i −0.594793 0.844137i
\(339\) 6.85409 + 3.95721i 0.372263 + 0.214926i
\(340\) 0.269497 + 0.269497i 0.0146155 + 0.0146155i
\(341\) 12.7451 + 7.35839i 0.690187 + 0.398479i
\(342\) 5.24746 9.08887i 0.283750 0.491470i
\(343\) −10.9560 14.9321i −0.591567 0.806256i
\(344\) 28.8397 7.72757i 1.55493 0.416643i
\(345\) −8.11505 + 8.11505i −0.436900 + 0.436900i
\(346\) 8.05818 2.15918i 0.433211 0.116078i
\(347\) 16.7637 + 29.0355i 0.899921 + 1.55871i 0.827593 + 0.561328i \(0.189709\pi\)
0.0723277 + 0.997381i \(0.476957\pi\)
\(348\) 0.517807 0.896867i 0.0277573 0.0480771i
\(349\) 1.15161 4.29785i 0.0616440 0.230059i −0.928230 0.372007i \(-0.878670\pi\)
0.989874 + 0.141948i \(0.0453365\pi\)
\(350\) −6.48309 + 3.31606i −0.346536 + 0.177251i
\(351\) 2.95654 + 2.06370i 0.157809 + 0.110152i
\(352\) 0.845106 + 1.46377i 0.0450443 + 0.0780190i
\(353\) 19.3433 19.3433i 1.02954 1.02954i 0.0299886 0.999550i \(-0.490453\pi\)
0.999550 0.0299886i \(-0.00954711\pi\)
\(354\) −11.4226 −0.607107
\(355\) 12.5886 0.668134
\(356\) 0.477524 0.477524i 0.0253087 0.0253087i
\(357\) 1.32406 4.09680i 0.0700769 0.216826i
\(358\) 2.26232 + 8.44310i 0.119567 + 0.446232i
\(359\) −31.7614 8.51045i −1.67630 0.449164i −0.709505 0.704701i \(-0.751081\pi\)
−0.966799 + 0.255537i \(0.917748\pi\)
\(360\) 4.16834 2.40659i 0.219691 0.126839i
\(361\) 32.6453i 1.71817i
\(362\) 20.1718 5.40501i 1.06020 0.284081i
\(363\) 5.91323 0.310364
\(364\) −0.764849 1.00860i −0.0400890 0.0528651i
\(365\) −8.32196 −0.435591
\(366\) 8.84032 2.36876i 0.462091 0.123817i
\(367\) 13.1452i 0.686173i −0.939304 0.343086i \(-0.888528\pi\)
0.939304 0.343086i \(-0.111472\pi\)
\(368\) 23.9192 13.8097i 1.24687 0.719883i
\(369\) −6.84645 1.83450i −0.356412 0.0955003i
\(370\) −1.40549 5.24535i −0.0730678 0.272693i
\(371\) 3.33513 + 15.5710i 0.173152 + 0.808407i
\(372\) 0.612243 0.612243i 0.0317433 0.0317433i
\(373\) −13.5493 −0.701556 −0.350778 0.936459i \(-0.614083\pi\)
−0.350778 + 0.936459i \(0.614083\pi\)
\(374\) 5.35988 0.277153
\(375\) −8.59251 + 8.59251i −0.443715 + 0.443715i
\(376\) −17.6104 30.5021i −0.908186 1.57302i
\(377\) 28.0364 + 2.41117i 1.44395 + 0.124181i
\(378\) 3.24373 + 2.09931i 0.166839 + 0.107977i
\(379\) 3.10819 11.5999i 0.159657 0.595848i −0.839005 0.544124i \(-0.816862\pi\)
0.998661 0.0517233i \(-0.0164714\pi\)
\(380\) −0.841560 + 1.45762i −0.0431711 + 0.0747745i
\(381\) −8.26781 14.3203i −0.423573 0.733650i
\(382\) −10.8021 + 2.89442i −0.552685 + 0.148091i
\(383\) 5.62895 5.62895i 0.287626 0.287626i −0.548515 0.836141i \(-0.684807\pi\)
0.836141 + 0.548515i \(0.184807\pi\)
\(384\) −11.8879 + 3.18535i −0.606651 + 0.162552i
\(385\) 3.23902 10.0219i 0.165076 0.510762i
\(386\) −4.70680 + 8.15242i −0.239570 + 0.414947i
\(387\) 9.48195 + 5.47441i 0.481995 + 0.278280i
\(388\) −0.935156 0.935156i −0.0474754 0.0474754i
\(389\) 26.9226 + 15.5438i 1.36503 + 0.788100i 0.990288 0.139029i \(-0.0443981\pi\)
0.374742 + 0.927129i \(0.377731\pi\)
\(390\) −7.62081 5.31940i −0.385895 0.269358i
\(391\) 10.5809i 0.535100i
\(392\) 12.0592 + 14.7972i 0.609082 + 0.747371i
\(393\) −6.40737 11.0979i −0.323209 0.559815i
\(394\) 29.9960i 1.51118i
\(395\) −4.27189 15.9429i −0.214942 0.802176i
\(396\) −0.0774577 + 0.289076i −0.00389240 + 0.0145266i
\(397\) −5.72844 5.72844i −0.287502 0.287502i 0.548590 0.836092i \(-0.315165\pi\)
−0.836092 + 0.548590i \(0.815165\pi\)
\(398\) 6.96519 + 6.96519i 0.349134 + 0.349134i
\(399\) 18.9891 + 0.965457i 0.950643 + 0.0483333i
\(400\) 6.93308 4.00282i 0.346654 0.200141i
\(401\) −4.32020 16.1232i −0.215740 0.805154i −0.985905 0.167309i \(-0.946492\pi\)
0.770164 0.637846i \(-0.220174\pi\)
\(402\) −3.87367 + 6.70939i −0.193201 + 0.334634i
\(403\) 22.1199 + 8.01401i 1.10187 + 0.399206i
\(404\) 0.783145 0.452149i 0.0389629 0.0224952i
\(405\) 1.70489 + 0.456824i 0.0847166 + 0.0226998i
\(406\) 30.1164 + 1.53120i 1.49465 + 0.0759922i
\(407\) −4.11496 2.37577i −0.203971 0.117763i
\(408\) −1.14854 + 4.28641i −0.0568611 + 0.212209i
\(409\) 16.8910 + 4.52593i 0.835206 + 0.223793i 0.650984 0.759092i \(-0.274357\pi\)
0.184223 + 0.982885i \(0.441023\pi\)
\(410\) 17.6475 + 4.72862i 0.871546 + 0.233530i
\(411\) 2.28097 8.51271i 0.112512 0.419901i
\(412\) −1.30161 0.751484i −0.0641256 0.0370229i
\(413\) −9.42380 18.4241i −0.463715 0.906591i
\(414\) 9.17195 + 2.45762i 0.450777 + 0.120785i
\(415\) 8.27179 4.77572i 0.406046 0.234431i
\(416\) 1.73989 + 2.06732i 0.0853052 + 0.101359i
\(417\) 6.30540 10.9213i 0.308777 0.534817i
\(418\) 6.12628 + 22.8636i 0.299646 + 1.11829i
\(419\) 12.1131 6.99350i 0.591764 0.341655i −0.174031 0.984740i \(-0.555679\pi\)
0.765795 + 0.643085i \(0.222346\pi\)
\(420\) −0.520211 0.336676i −0.0253837 0.0164281i
\(421\) 11.2239 + 11.2239i 0.547020 + 0.547020i 0.925578 0.378558i \(-0.123580\pi\)
−0.378558 + 0.925578i \(0.623580\pi\)
\(422\) 16.6954 + 16.6954i 0.812718 + 0.812718i
\(423\) 3.34284 12.4756i 0.162534 0.606586i
\(424\) −4.24800 15.8538i −0.206301 0.769926i
\(425\) 3.06693i 0.148768i
\(426\) −5.20786 9.02028i −0.252322 0.437034i
\(427\) 11.1140 + 12.3047i 0.537846 + 0.595467i
\(428\) 0.603520i 0.0291722i
\(429\) −8.00628 + 1.42391i −0.386547 + 0.0687471i
\(430\) −24.4407 14.1109i −1.17864 0.680486i
\(431\) −20.5510 20.5510i −0.989905 0.989905i 0.0100445 0.999950i \(-0.496803\pi\)
−0.999950 + 0.0100445i \(0.996803\pi\)
\(432\) −3.67868 2.12389i −0.176991 0.102186i
\(433\) −14.2229 + 24.6348i −0.683508 + 1.18387i 0.290395 + 0.956907i \(0.406213\pi\)
−0.973903 + 0.226964i \(0.927120\pi\)
\(434\) 23.9900 + 7.75346i 1.15156 + 0.372178i
\(435\) 13.3060 3.56532i 0.637972 0.170944i
\(436\) −0.197080 + 0.197080i −0.00943841 + 0.00943841i
\(437\) 45.1349 12.0939i 2.15910 0.578528i
\(438\) 3.44276 + 5.96304i 0.164502 + 0.284925i
\(439\) −16.3048 + 28.2408i −0.778186 + 1.34786i 0.154800 + 0.987946i \(0.450527\pi\)
−0.932986 + 0.359912i \(0.882807\pi\)
\(440\) −2.80963 + 10.4857i −0.133944 + 0.499886i
\(441\) −0.709963 + 6.96390i −0.0338078 + 0.331614i
\(442\) 8.43613 1.50036i 0.401266 0.0713649i
\(443\) −6.08812 10.5449i −0.289255 0.501005i 0.684377 0.729128i \(-0.260074\pi\)
−0.973632 + 0.228124i \(0.926741\pi\)
\(444\) −0.197672 + 0.197672i −0.00938112 + 0.00938112i
\(445\) 8.98287 0.425829
\(446\) 9.51577 0.450585
\(447\) 5.24546 5.24546i 0.248102 0.248102i
\(448\) −13.1253 14.5315i −0.620113 0.686547i
\(449\) −0.322297 1.20283i −0.0152101 0.0567650i 0.957904 0.287090i \(-0.0926878\pi\)
−0.973114 + 0.230325i \(0.926021\pi\)
\(450\) 2.65853 + 0.712352i 0.125324 + 0.0335806i
\(451\) 13.8444 7.99306i 0.651906 0.376378i
\(452\) 1.05019i 0.0493966i
\(453\) −13.6240 + 3.65054i −0.640112 + 0.171517i
\(454\) −15.3458 −0.720212
\(455\) 2.29265 16.6805i 0.107481 0.781994i
\(456\) −19.5973 −0.917726
\(457\) −7.36967 + 1.97470i −0.344738 + 0.0923724i −0.427034 0.904236i \(-0.640442\pi\)
0.0822955 + 0.996608i \(0.473775\pi\)
\(458\) 6.32707i 0.295644i
\(459\) −1.40929 + 0.813654i −0.0657800 + 0.0379781i
\(460\) −1.47095 0.394139i −0.0685833 0.0183768i
\(461\) 0.143143 + 0.534215i 0.00666682 + 0.0248809i 0.969179 0.246357i \(-0.0792336\pi\)
−0.962512 + 0.271238i \(0.912567\pi\)
\(462\) −8.52107 + 1.82511i −0.396436 + 0.0849120i
\(463\) 28.5117 28.5117i 1.32505 1.32505i 0.415426 0.909627i \(-0.363633\pi\)
0.909627 0.415426i \(-0.136367\pi\)
\(464\) −33.1522 −1.53905
\(465\) 11.5171 0.534094
\(466\) −16.5010 + 16.5010i −0.764396 + 0.764396i
\(467\) 15.3705 + 26.6225i 0.711262 + 1.23194i 0.964384 + 0.264508i \(0.0852095\pi\)
−0.253121 + 0.967435i \(0.581457\pi\)
\(468\) −0.0409944 + 0.476671i −0.00189497 + 0.0220341i
\(469\) −14.0177 0.712699i −0.647277 0.0329094i
\(470\) −8.61652 + 32.1573i −0.397450 + 1.48330i
\(471\) −2.68229 + 4.64586i −0.123593 + 0.214070i
\(472\) 10.6648 + 18.4720i 0.490887 + 0.850241i
\(473\) −23.8524 + 6.39123i −1.09673 + 0.293869i
\(474\) −9.65653 + 9.65653i −0.443539 + 0.443539i
\(475\) 13.0826 3.50546i 0.600269 0.160842i
\(476\) 0.558632 0.119652i 0.0256048 0.00548426i
\(477\) 3.00939 5.21242i 0.137790 0.238660i
\(478\) −3.30447 1.90784i −0.151143 0.0872624i
\(479\) 3.20616 + 3.20616i 0.146493 + 0.146493i 0.776550 0.630056i \(-0.216968\pi\)
−0.630056 + 0.776550i \(0.716968\pi\)
\(480\) 1.14552 + 0.661367i 0.0522856 + 0.0301871i
\(481\) −7.14174 2.58745i −0.325635 0.117978i
\(482\) 28.7326i 1.30873i
\(483\) 3.60295 + 16.8214i 0.163940 + 0.765401i
\(484\) 0.392321 + 0.679520i 0.0178328 + 0.0308873i
\(485\) 17.5916i 0.798792i
\(486\) −0.377973 1.41061i −0.0171452 0.0639867i
\(487\) 5.72908 21.3812i 0.259609 0.968876i −0.705858 0.708353i \(-0.749438\pi\)
0.965468 0.260523i \(-0.0838949\pi\)
\(488\) −12.0844 12.0844i −0.547035 0.547035i
\(489\) 11.3721 + 11.3721i 0.514264 + 0.514264i
\(490\) 1.83001 17.9502i 0.0826713 0.810907i
\(491\) −23.7750 + 13.7265i −1.07295 + 0.619469i −0.928986 0.370114i \(-0.879319\pi\)
−0.143965 + 0.989583i \(0.545985\pi\)
\(492\) −0.243425 0.908474i −0.0109744 0.0409572i
\(493\) −6.35024 + 10.9989i −0.286000 + 0.495367i
\(494\) 16.0425 + 34.2710i 0.721785 + 1.54193i
\(495\) −3.44750 + 1.99041i −0.154954 + 0.0894625i
\(496\) −26.7730 7.17381i −1.20214 0.322114i
\(497\) 10.2527 15.8418i 0.459896 0.710603i
\(498\) −6.84402 3.95140i −0.306688 0.177066i
\(499\) 8.08079 30.1579i 0.361746 1.35005i −0.510033 0.860155i \(-0.670367\pi\)
0.871779 0.489900i \(-0.162967\pi\)
\(500\) −1.55749 0.417329i −0.0696532 0.0186635i
\(501\) −5.07654 1.36025i −0.226803 0.0607717i
\(502\) −2.76433 + 10.3166i −0.123378 + 0.460454i
\(503\) −33.4708 19.3244i −1.49239 0.861633i −0.492429 0.870352i \(-0.663891\pi\)
−0.999962 + 0.00871978i \(0.997224\pi\)
\(504\) 0.366351 7.20557i 0.0163186 0.320962i
\(505\) 11.6188 + 3.11324i 0.517029 + 0.138537i
\(506\) −18.5468 + 10.7080i −0.824507 + 0.476029i
\(507\) −12.2028 + 4.48231i −0.541946 + 0.199066i
\(508\) 1.09708 1.90020i 0.0486750 0.0843076i
\(509\) 2.14731 + 8.01388i 0.0951779 + 0.355209i 0.997046 0.0768019i \(-0.0244709\pi\)
−0.901868 + 0.432011i \(0.857804\pi\)
\(510\) 3.63259 2.09728i 0.160854 0.0928691i
\(511\) −6.77775 + 10.4726i −0.299830 + 0.463279i
\(512\) 14.1307 + 14.1307i 0.624493 + 0.624493i
\(513\) −5.08160 5.08160i −0.224358 0.224358i
\(514\) 3.56459 13.3032i 0.157227 0.586781i
\(515\) −5.17429 19.3107i −0.228007 0.850932i
\(516\) 1.45283i 0.0639572i
\(517\) 14.5650 + 25.2273i 0.640567 + 1.10950i
\(518\) −7.74556 2.50333i −0.340321 0.109990i
\(519\) 5.71254i 0.250753i
\(520\) −1.48699 + 17.2904i −0.0652090 + 0.758232i
\(521\) 23.3799 + 13.4984i 1.02429 + 0.591375i 0.915344 0.402672i \(-0.131918\pi\)
0.108948 + 0.994047i \(0.465252\pi\)
\(522\) −8.05934 8.05934i −0.352748 0.352748i
\(523\) 5.97993 + 3.45251i 0.261484 + 0.150968i 0.625011 0.780616i \(-0.285094\pi\)
−0.363527 + 0.931584i \(0.618428\pi\)
\(524\) 0.850212 1.47261i 0.0371417 0.0643313i
\(525\) 1.04433 + 4.87576i 0.0455784 + 0.212796i
\(526\) −6.49920 + 1.74145i −0.283378 + 0.0759310i
\(527\) −7.50838 + 7.50838i −0.327070 + 0.327070i
\(528\) 9.25394 2.47959i 0.402726 0.107910i
\(529\) 9.63866 + 16.6946i 0.419072 + 0.725854i
\(530\) −7.75702 + 13.4356i −0.336944 + 0.583603i
\(531\) −2.02441 + 7.55521i −0.0878520 + 0.327868i
\(532\) 1.14891 + 2.24619i 0.0498116 + 0.0973847i
\(533\) 19.5528 16.4560i 0.846925 0.712788i
\(534\) −3.71618 6.43662i −0.160815 0.278540i
\(535\) 5.67652 5.67652i 0.245417 0.245417i
\(536\) 14.4667 0.624865
\(537\) 5.98541 0.258290
\(538\) −13.9673 + 13.9673i −0.602172 + 0.602172i
\(539\) −9.97378 12.2383i −0.429601 0.527140i
\(540\) 0.0606172 + 0.226226i 0.00260855 + 0.00973524i
\(541\) 3.68111 + 0.986350i 0.158263 + 0.0424065i 0.337081 0.941476i \(-0.390560\pi\)
−0.178817 + 0.983882i \(0.557227\pi\)
\(542\) −22.4464 + 12.9594i −0.964155 + 0.556655i
\(543\) 14.3000i 0.613672i
\(544\) −1.17797 + 0.315635i −0.0505049 + 0.0135328i
\(545\) −3.70734 −0.158805
\(546\) −12.9008 + 5.25788i −0.552102 + 0.225016i
\(547\) 6.54169 0.279702 0.139851 0.990173i \(-0.455338\pi\)
0.139851 + 0.990173i \(0.455338\pi\)
\(548\) 1.12957 0.302669i 0.0482530 0.0129294i
\(549\) 6.26701i 0.267469i
\(550\) −5.37588 + 3.10377i −0.229228 + 0.132345i
\(551\) −54.1763 14.5165i −2.30799 0.618424i
\(552\) −4.58913 17.1268i −0.195326 0.728967i
\(553\) −23.5422 7.60872i −1.00112 0.323556i
\(554\) 11.9297 11.9297i 0.506845 0.506845i
\(555\) −3.71849 −0.157841
\(556\) 1.67336 0.0709664
\(557\) 0.230073 0.230073i 0.00974850 0.00974850i −0.702216 0.711964i \(-0.747806\pi\)
0.711964 + 0.702216i \(0.247806\pi\)
\(558\) −4.76460 8.25252i −0.201701 0.349357i
\(559\) −35.7532 + 16.7363i −1.51220 + 0.707870i
\(560\) −1.00724 + 19.8108i −0.0425635 + 0.837160i
\(561\) 0.949920 3.54515i 0.0401056 0.149676i
\(562\) −12.2862 + 21.2803i −0.518261 + 0.897654i
\(563\) 1.18117 + 2.04585i 0.0497804 + 0.0862222i 0.889842 0.456269i \(-0.150815\pi\)
−0.840062 + 0.542491i \(0.817481\pi\)
\(564\) 1.65543 0.443570i 0.0697060 0.0186777i
\(565\) −9.87772 + 9.87772i −0.415559 + 0.415559i
\(566\) 30.5274 8.17980i 1.28316 0.343823i
\(567\) 1.96341 1.77342i 0.0824555 0.0744766i
\(568\) −9.72468 + 16.8436i −0.408038 + 0.706743i
\(569\) −5.30051 3.06025i −0.222209 0.128292i 0.384764 0.923015i \(-0.374283\pi\)
−0.606973 + 0.794723i \(0.707616\pi\)
\(570\) 13.0984 + 13.0984i 0.548630 + 0.548630i
\(571\) 34.6029 + 19.9780i 1.44808 + 0.836052i 0.998367 0.0571186i \(-0.0181913\pi\)
0.449718 + 0.893171i \(0.351525\pi\)
\(572\) −0.694817 0.825573i −0.0290518 0.0345189i
\(573\) 7.65775i 0.319907i
\(574\) 20.3234 18.3568i 0.848284 0.766199i
\(575\) 6.12714 + 10.6125i 0.255519 + 0.442572i
\(576\) 7.40114i 0.308381i
\(577\) −5.69221 21.2436i −0.236970 0.884383i −0.977251 0.212086i \(-0.931974\pi\)
0.740281 0.672297i \(-0.234692\pi\)
\(578\) 5.42461 20.2449i 0.225634 0.842078i
\(579\) 4.55803 + 4.55803i 0.189425 + 0.189425i
\(580\) 1.29251 + 1.29251i 0.0536687 + 0.0536687i
\(581\) 0.726999 14.2990i 0.0301610 0.593221i
\(582\) −12.6051 + 7.27757i −0.522499 + 0.301665i
\(583\) 3.51339 + 13.1121i 0.145510 + 0.543049i
\(584\) 6.42870 11.1348i 0.266021 0.460763i
\(585\) −4.86900 + 4.09784i −0.201308 + 0.169425i
\(586\) 12.4481 7.18692i 0.514226 0.296889i
\(587\) −24.8029 6.64591i −1.02372 0.274306i −0.292371 0.956305i \(-0.594444\pi\)
−0.731353 + 0.681999i \(0.761111\pi\)
\(588\) −0.847362 + 0.380444i −0.0349446 + 0.0156892i
\(589\) −40.6105 23.4465i −1.67332 0.966094i
\(590\) 5.21814 19.4743i 0.214827 0.801746i
\(591\) −19.8400 5.31612i −0.816110 0.218676i
\(592\) 8.64409 + 2.31618i 0.355270 + 0.0951943i
\(593\) 0.190725 0.711795i 0.00783213 0.0292299i −0.961899 0.273404i \(-0.911850\pi\)
0.969731 + 0.244174i \(0.0785170\pi\)
\(594\) 2.85244 + 1.64685i 0.117037 + 0.0675713i
\(595\) 6.37972 + 4.12890i 0.261543 + 0.169268i
\(596\) 0.950801 + 0.254766i 0.0389463 + 0.0104356i
\(597\) 5.84137 3.37252i 0.239071 0.138028i
\(598\) −26.1942 + 22.0455i −1.07116 + 0.901507i
\(599\) −8.17923 + 14.1669i −0.334194 + 0.578842i −0.983330 0.181831i \(-0.941798\pi\)
0.649135 + 0.760673i \(0.275131\pi\)
\(600\) −1.33018 4.96430i −0.0543043 0.202667i
\(601\) 2.40336 1.38758i 0.0980349 0.0566005i −0.450181 0.892937i \(-0.648641\pi\)
0.548216 + 0.836337i \(0.315307\pi\)
\(602\) −37.6630 + 19.2644i −1.53503 + 0.785157i
\(603\) 3.75123 + 3.75123i 0.152762 + 0.152762i
\(604\) −1.32341 1.32341i −0.0538486 0.0538486i
\(605\) −2.70130 + 10.0814i −0.109824 + 0.409867i
\(606\) −2.57587 9.61329i −0.104638 0.390513i
\(607\) 1.50128i 0.0609351i 0.999536 + 0.0304676i \(0.00969963\pi\)
−0.999536 + 0.0304676i \(0.990300\pi\)
\(608\) −2.69281 4.66408i −0.109208 0.189153i
\(609\) 6.35024 19.6483i 0.257325 0.796190i
\(610\) 16.1539i 0.654051i
\(611\) 29.9862 + 35.6292i 1.21311 + 1.44140i
\(612\) −0.187002 0.107966i −0.00755913 0.00436426i
\(613\) 0.0719018 + 0.0719018i 0.00290408 + 0.00290408i 0.708557 0.705653i \(-0.249346\pi\)
−0.705653 + 0.708557i \(0.749346\pi\)
\(614\) −29.0422 16.7675i −1.17205 0.676682i
\(615\) 6.25524 10.8344i 0.252236 0.436885i
\(616\) 10.9072 + 12.0757i 0.439463 + 0.486544i
\(617\) −33.4006 + 8.94965i −1.34466 + 0.360299i −0.858159 0.513383i \(-0.828392\pi\)
−0.486496 + 0.873683i \(0.661725\pi\)
\(618\) −11.6964 + 11.6964i −0.470498 + 0.470498i
\(619\) 4.56014 1.22189i 0.183287 0.0491117i −0.166008 0.986124i \(-0.553088\pi\)
0.349295 + 0.937013i \(0.386421\pi\)
\(620\) 0.764120 + 1.32349i 0.0306878 + 0.0531528i
\(621\) 3.25105 5.63098i 0.130460 0.225964i
\(622\) −4.80430 + 17.9299i −0.192635 + 0.718924i
\(623\) 7.31602 11.3043i 0.293110 0.452896i
\(624\) 13.8711 6.49313i 0.555287 0.259933i
\(625\) −6.01236 10.4137i −0.240494 0.416549i
\(626\) 1.80171 1.80171i 0.0720108 0.0720108i
\(627\) 16.2083 0.647296
\(628\) −0.711840 −0.0284055
\(629\) 2.42420 2.42420i 0.0966592 0.0966592i
\(630\) −5.06090 + 4.57118i −0.201631 + 0.182120i
\(631\) 4.26964 + 15.9345i 0.169972 + 0.634343i 0.997354 + 0.0727032i \(0.0231626\pi\)
−0.827382 + 0.561640i \(0.810171\pi\)
\(632\) 24.6318 + 6.60006i 0.979799 + 0.262536i
\(633\) 14.0016 8.08382i 0.556513 0.321303i
\(634\) 35.0755i 1.39303i
\(635\) 28.1914 7.55386i 1.11874 0.299766i
\(636\) 0.798648 0.0316685
\(637\) −19.1239 16.4704i −0.757718 0.652582i
\(638\) 25.7061 1.01771
\(639\) −6.88920 + 1.84596i −0.272533 + 0.0730249i
\(640\) 21.7227i 0.858664i
\(641\) −9.72481 + 5.61462i −0.384107 + 0.221764i −0.679604 0.733580i \(-0.737848\pi\)
0.295497 + 0.955344i \(0.404515\pi\)
\(642\) −6.41582 1.71911i −0.253212 0.0678480i
\(643\) 10.7511 + 40.1236i 0.423982 + 1.58232i 0.766136 + 0.642678i \(0.222177\pi\)
−0.342155 + 0.939644i \(0.611157\pi\)
\(644\) −1.69399 + 1.53007i −0.0667527 + 0.0602934i
\(645\) −13.6648 + 13.6648i −0.538052 + 0.538052i
\(646\) −17.0785 −0.671944
\(647\) −28.7294 −1.12947 −0.564735 0.825273i \(-0.691021\pi\)
−0.564735 + 0.825273i \(0.691021\pi\)
\(648\) −1.92826 + 1.92826i −0.0757491 + 0.0757491i
\(649\) −8.82051 15.2776i −0.346235 0.599697i
\(650\) −7.59250 + 6.38999i −0.297803 + 0.250636i
\(651\) 9.38003 14.4935i 0.367632 0.568043i
\(652\) −0.552330 + 2.06132i −0.0216309 + 0.0807277i
\(653\) 8.47378 14.6770i 0.331605 0.574356i −0.651222 0.758887i \(-0.725743\pi\)
0.982827 + 0.184531i \(0.0590766\pi\)
\(654\) 1.53371 + 2.65647i 0.0599729 + 0.103876i
\(655\) 21.8477 5.85408i 0.853661 0.228738i
\(656\) −21.2897 + 21.2897i −0.831221 + 0.831221i
\(657\) 4.55425 1.22031i 0.177678 0.0476087i
\(658\) 33.4499 + 37.0335i 1.30401 + 1.44371i
\(659\) 6.53667 11.3218i 0.254632 0.441036i −0.710163 0.704037i \(-0.751379\pi\)
0.964796 + 0.263001i \(0.0847122\pi\)
\(660\) −0.457458 0.264114i −0.0178065 0.0102806i
\(661\) −9.42539 9.42539i −0.366605 0.366605i 0.499632 0.866238i \(-0.333468\pi\)
−0.866238 + 0.499632i \(0.833468\pi\)
\(662\) −19.6505 11.3452i −0.763739 0.440945i
\(663\) 0.502744 5.84576i 0.0195249 0.227031i
\(664\) 14.7569i 0.572680i
\(665\) −10.3207 + 31.9332i −0.400218 + 1.23832i
\(666\) 1.53832 + 2.66446i 0.0596089 + 0.103246i
\(667\) 50.7463i 1.96490i
\(668\) −0.180496 0.673620i −0.00698360 0.0260631i
\(669\) 1.68646 6.29395i 0.0652023 0.243338i
\(670\) −9.66919 9.66919i −0.373553 0.373553i
\(671\) 9.99462 + 9.99462i 0.385838 + 0.385838i
\(672\) 1.76524 0.902908i 0.0680956 0.0348304i
\(673\) 26.6155 15.3665i 1.02595 0.592334i 0.110130 0.993917i \(-0.464873\pi\)
0.915823 + 0.401583i \(0.131540\pi\)
\(674\) 1.76390 + 6.58296i 0.0679429 + 0.253566i
\(675\) 0.942332 1.63217i 0.0362704 0.0628221i
\(676\) −1.32470 1.10491i −0.0509500 0.0424964i
\(677\) 8.46296 4.88609i 0.325258 0.187788i −0.328476 0.944512i \(-0.606535\pi\)
0.653734 + 0.756725i \(0.273202\pi\)
\(678\) 11.1642 + 2.99144i 0.428758 + 0.114885i
\(679\) −22.1377 14.3273i −0.849566 0.549831i
\(680\) −6.78317 3.91626i −0.260123 0.150182i
\(681\) −2.71970 + 10.1500i −0.104219 + 0.388951i
\(682\) 20.7597 + 5.56254i 0.794930 + 0.213001i
\(683\) 23.6182 + 6.32848i 0.903726 + 0.242153i 0.680616 0.732640i \(-0.261712\pi\)
0.223110 + 0.974793i \(0.428379\pi\)
\(684\) 0.246808 0.921099i 0.00943693 0.0352191i
\(685\) 13.4712 + 7.77761i 0.514709 + 0.297167i
\(686\) −21.0986 16.9223i −0.805547 0.646097i
\(687\) −4.18487 1.12133i −0.159663 0.0427815i
\(688\) 40.2772 23.2541i 1.53555 0.886553i
\(689\) 9.20027 + 19.6542i 0.350502 + 0.748767i
\(690\) −8.37993 + 14.5145i −0.319018 + 0.552556i
\(691\) 9.73031 + 36.3140i 0.370158 + 1.38145i 0.860291 + 0.509803i \(0.170282\pi\)
−0.490133 + 0.871648i \(0.663052\pi\)
\(692\) 0.656458 0.379006i 0.0249548 0.0144077i
\(693\) −0.302997 + 5.95950i −0.0115099 + 0.226383i
\(694\) 34.6217 + 34.6217i 1.31422 + 1.31422i
\(695\) 15.7391 + 15.7391i 0.597018 + 0.597018i
\(696\) −5.50841 + 20.5577i −0.208796 + 0.779237i
\(697\) 2.98530 + 11.1413i 0.113076 + 0.422006i
\(698\) 6.49788i 0.245948i
\(699\) 7.98973 + 13.8386i 0.302199 + 0.523425i
\(700\) −0.491012 + 0.443499i −0.0185585 + 0.0167627i
\(701\) 41.9982i 1.58625i −0.609058 0.793125i \(-0.708452\pi\)
0.609058 0.793125i \(-0.291548\pi\)
\(702\) 4.95056 + 1.79359i 0.186847 + 0.0676945i
\(703\) 13.1117 + 7.57006i 0.494518 + 0.285510i
\(704\) −11.8033 11.8033i −0.444855 0.444855i
\(705\) 19.7425 + 11.3983i 0.743545 + 0.429286i
\(706\) 19.9747 34.5971i 0.751756 1.30208i
\(707\) 13.3806 12.0858i 0.503229 0.454534i
\(708\) −1.00252 + 0.268625i −0.0376770 + 0.0100955i
\(709\) 13.5329 13.5329i 0.508238 0.508238i −0.405748 0.913985i \(-0.632989\pi\)
0.913985 + 0.405748i \(0.132989\pi\)
\(710\) 17.7577 4.75815i 0.666433 0.178570i
\(711\) 4.67565 + 8.09846i 0.175351 + 0.303716i
\(712\) −6.93925 + 12.0191i −0.260060 + 0.450436i
\(713\) 10.9810 40.9816i 0.411242 1.53477i
\(714\) 0.319265 6.27946i 0.0119482 0.235003i
\(715\) 1.22985 14.3003i 0.0459936 0.534801i
\(716\) 0.397111 + 0.687816i 0.0148407 + 0.0257049i
\(717\) −1.84753 + 1.84753i −0.0689973 + 0.0689973i
\(718\) −48.0198 −1.79208
\(719\) 12.7618 0.475934 0.237967 0.971273i \(-0.423519\pi\)
0.237967 + 0.971273i \(0.423519\pi\)
\(720\) 5.30151 5.30151i 0.197575 0.197575i
\(721\) −28.5153 9.21599i −1.06196 0.343221i
\(722\) −12.3390 46.0499i −0.459211 1.71380i
\(723\) 19.0044 + 5.09222i 0.706782 + 0.189382i
\(724\) 1.64329 0.948753i 0.0610723 0.0352601i
\(725\) 14.7090i 0.546280i
\(726\) 8.34128 2.23504i 0.309574 0.0829500i
\(727\) 3.92873 0.145708 0.0728542 0.997343i \(-0.476789\pi\)
0.0728542 + 0.997343i \(0.476789\pi\)
\(728\) 20.5475 + 15.9532i 0.761543 + 0.591267i
\(729\) −1.00000 −0.0370370
\(730\) −11.7391 + 3.14547i −0.434482 + 0.116419i
\(731\) 17.8171i 0.658989i
\(732\) 0.720175 0.415793i 0.0266184 0.0153682i
\(733\) 30.7075 + 8.22804i 1.13421 + 0.303910i 0.776619 0.629970i \(-0.216933\pi\)
0.357587 + 0.933880i \(0.383600\pi\)
\(734\) −4.96852 18.5428i −0.183391 0.684426i
\(735\) −11.5484 4.39169i −0.425968 0.161990i
\(736\) 3.44555 3.44555i 0.127005 0.127005i
\(737\) −11.9649 −0.440733
\(738\) −10.3511 −0.381029
\(739\) −18.1407 + 18.1407i −0.667317 + 0.667317i −0.957094 0.289777i \(-0.906419\pi\)
0.289777 + 0.957094i \(0.406419\pi\)
\(740\) −0.246708 0.427311i −0.00906917 0.0157083i
\(741\) 25.5108 4.53709i 0.937164 0.166674i
\(742\) 10.5900 + 20.7041i 0.388771 + 0.760072i
\(743\) −3.90299 + 14.5661i −0.143187 + 0.534380i 0.856643 + 0.515910i \(0.172546\pi\)
−0.999829 + 0.0184698i \(0.994121\pi\)
\(744\) −8.89696 + 15.4100i −0.326179 + 0.564958i
\(745\) 6.54668 + 11.3392i 0.239852 + 0.415436i
\(746\) −19.1128 + 5.12126i −0.699770 + 0.187503i
\(747\) −3.82650 + 3.82650i −0.140004 + 0.140004i
\(748\) 0.470416 0.126047i 0.0172001 0.00460875i
\(749\) −2.52028 11.7667i −0.0920891 0.429944i
\(750\) −8.87298 + 15.3684i −0.323995 + 0.561176i
\(751\) −40.3147 23.2757i −1.47110 0.849341i −0.471629 0.881797i \(-0.656334\pi\)
−0.999473 + 0.0324554i \(0.989667\pi\)
\(752\) −38.7941 38.7941i −1.41468 1.41468i
\(753\) 6.33375 + 3.65679i 0.230815 + 0.133261i
\(754\) 40.4598 7.19576i 1.47346 0.262054i
\(755\) 24.8951i 0.906025i
\(756\) 0.334058 + 0.107966i 0.0121496 + 0.00392668i
\(757\) 1.12340 + 1.94578i 0.0408306 + 0.0707207i 0.885719 0.464223i \(-0.153666\pi\)
−0.844888 + 0.534943i \(0.820333\pi\)
\(758\) 17.5378i 0.637002i
\(759\) 3.79552 + 14.1651i 0.137769 + 0.514159i
\(760\) 8.95249 33.4112i 0.324741 1.21195i
\(761\) −29.4999 29.4999i −1.06937 1.06937i −0.997407 0.0719617i \(-0.977074\pi\)
−0.0719617 0.997407i \(-0.522926\pi\)
\(762\) −17.0754 17.0754i −0.618575 0.618575i
\(763\) −3.01941 + 4.66541i −0.109310 + 0.168899i
\(764\) −0.879993 + 0.508064i −0.0318370 + 0.0183811i
\(765\) −0.743393 2.77438i −0.0268774 0.100308i
\(766\) 5.81268 10.0679i 0.210021 0.363766i
\(767\) −18.1595 21.5769i −0.655703 0.779097i
\(768\) −2.74610 + 1.58546i −0.0990912 + 0.0572103i
\(769\) −30.8135 8.25646i −1.11116 0.297736i −0.343861 0.939020i \(-0.611735\pi\)
−0.767303 + 0.641285i \(0.778402\pi\)
\(770\) 0.781008 15.3612i 0.0281456 0.553581i
\(771\) −8.16733 4.71541i −0.294139 0.169821i
\(772\) −0.221378 + 0.826196i −0.00796758 + 0.0297354i
\(773\) 31.6927 + 8.49203i 1.13991 + 0.305437i 0.778913 0.627132i \(-0.215771\pi\)
0.360993 +