Properties

Label 76.2.k.a.15.1
Level $76$
Weight $2$
Character 76.15
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 15.1
Character \(\chi\) \(=\) 76.15
Dual form 76.2.k.a.71.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37896 + 0.313814i) q^{2} +(-0.00846870 - 0.0480284i) q^{3} +(1.80304 - 0.865472i) q^{4} +(0.579816 - 0.486524i) q^{5} +(0.0267499 + 0.0635714i) q^{6} +(2.62687 + 1.51662i) q^{7} +(-2.21472 + 1.75927i) q^{8} +(2.81684 - 1.02525i) q^{9} +O(q^{10})\) \(q+(-1.37896 + 0.313814i) q^{2} +(-0.00846870 - 0.0480284i) q^{3} +(1.80304 - 0.865472i) q^{4} +(0.579816 - 0.486524i) q^{5} +(0.0267499 + 0.0635714i) q^{6} +(2.62687 + 1.51662i) q^{7} +(-2.21472 + 1.75927i) q^{8} +(2.81684 - 1.02525i) q^{9} +(-0.646863 + 0.852849i) q^{10} +(-0.655865 + 0.378664i) q^{11} +(-0.0568366 - 0.0792677i) q^{12} +(-1.53562 - 0.270771i) q^{13} +(-4.09827 - 1.26701i) q^{14} +(-0.0282772 - 0.0237274i) q^{15} +(2.50192 - 3.12096i) q^{16} +(-4.84662 - 1.76403i) q^{17} +(-3.56257 + 2.29774i) q^{18} +(-4.29322 - 0.753853i) q^{19} +(0.624360 - 1.37904i) q^{20} +(0.0505948 - 0.139008i) q^{21} +(0.785579 - 0.727981i) q^{22} +(-1.13123 + 1.34815i) q^{23} +(0.103251 + 0.0914706i) q^{24} +(-0.768759 + 4.35985i) q^{25} +(2.20252 - 0.108518i) q^{26} +(-0.146250 - 0.253312i) q^{27} +(6.04894 + 0.461053i) q^{28} +(-0.178978 - 0.491737i) q^{29} +(0.0464391 + 0.0238453i) q^{30} +(3.59957 - 6.23464i) q^{31} +(-2.47063 + 5.08881i) q^{32} +(0.0237409 + 0.0282933i) q^{33} +(7.23685 + 0.911576i) q^{34} +(2.26097 - 0.398670i) q^{35} +(4.19156 - 4.28646i) q^{36} +8.80926i q^{37} +(6.15673 - 0.307741i) q^{38} +0.0760464i q^{39} +(-0.428204 + 2.09756i) q^{40} +(-2.56508 + 0.452292i) q^{41} +(-0.0261453 + 0.207563i) q^{42} +(-6.43028 - 7.66330i) q^{43} +(-0.854829 + 1.25038i) q^{44} +(1.13444 - 1.96492i) q^{45} +(1.13685 - 2.21404i) q^{46} +(3.62828 + 9.96861i) q^{47} +(-0.171083 - 0.0937325i) q^{48} +(1.10029 + 1.90575i) q^{49} +(-0.308097 - 6.25329i) q^{50} +(-0.0436787 + 0.247714i) q^{51} +(-3.00313 + 0.840824i) q^{52} +(5.23679 - 6.24096i) q^{53} +(0.281165 + 0.303411i) q^{54} +(-0.196052 + 0.538649i) q^{55} +(-8.48591 + 1.26247i) q^{56} +(0.000151609 + 0.212580i) q^{57} +(0.401117 + 0.621918i) q^{58} +(-7.79113 - 2.83574i) q^{59} +(-0.0715204 - 0.0183083i) q^{60} +(-2.83699 - 2.38052i) q^{61} +(-3.00713 + 9.72690i) q^{62} +(8.95438 + 1.57890i) q^{63} +(1.80995 - 7.79257i) q^{64} +(-1.02211 + 0.590117i) q^{65} +(-0.0416166 - 0.0315651i) q^{66} +(-8.84545 + 3.21948i) q^{67} +(-10.2654 + 1.01400i) q^{68} +(0.0743296 + 0.0429142i) q^{69} +(-2.99267 + 1.25927i) q^{70} +(6.90158 - 5.79111i) q^{71} +(-4.43483 + 7.22621i) q^{72} +(-1.69979 - 9.64000i) q^{73} +(-2.76447 - 12.1476i) q^{74} +0.215907 q^{75} +(-8.39329 + 2.35643i) q^{76} -2.29716 q^{77} +(-0.0238644 - 0.104865i) q^{78} +(2.62972 + 14.9139i) q^{79} +(-0.0677710 - 3.02683i) q^{80} +(6.87801 - 5.77133i) q^{81} +(3.39519 - 1.42865i) q^{82} +(10.6616 + 6.15546i) q^{83} +(-0.0290831 - 0.294425i) q^{84} +(-3.66839 + 1.33518i) q^{85} +(11.2719 + 8.54945i) q^{86} +(-0.0221016 + 0.0127604i) q^{87} +(0.786385 - 1.99248i) q^{88} +(13.0613 + 2.30306i) q^{89} +(-0.947731 + 3.06554i) q^{90} +(-3.62321 - 3.04023i) q^{91} +(-0.872873 + 3.40982i) q^{92} +(-0.329923 - 0.120082i) q^{93} +(-8.13153 - 12.6077i) q^{94} +(-2.85604 + 1.65165i) q^{95} +(0.265330 + 0.0755648i) q^{96} +(-1.74814 + 4.80298i) q^{97} +(-2.11530 - 2.28266i) q^{98} +(-1.45925 + 1.73906i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37896 + 0.313814i −0.975069 + 0.221900i
\(3\) −0.00846870 0.0480284i −0.00488941 0.0277292i 0.982265 0.187496i \(-0.0600370\pi\)
−0.987155 + 0.159766i \(0.948926\pi\)
\(4\) 1.80304 0.865472i 0.901521 0.432736i
\(5\) 0.579816 0.486524i 0.259302 0.217580i −0.503864 0.863783i \(-0.668089\pi\)
0.763165 + 0.646203i \(0.223644\pi\)
\(6\) 0.0267499 + 0.0635714i 0.0109206 + 0.0259529i
\(7\) 2.62687 + 1.51662i 0.992862 + 0.573229i 0.906129 0.423002i \(-0.139024\pi\)
0.0867337 + 0.996232i \(0.472357\pi\)
\(8\) −2.21472 + 1.75927i −0.783021 + 0.621995i
\(9\) 2.81684 1.02525i 0.938948 0.341749i
\(10\) −0.646863 + 0.852849i −0.204556 + 0.269695i
\(11\) −0.655865 + 0.378664i −0.197751 + 0.114171i −0.595606 0.803277i \(-0.703088\pi\)
0.397855 + 0.917448i \(0.369755\pi\)
\(12\) −0.0568366 0.0792677i −0.0164073 0.0228826i
\(13\) −1.53562 0.270771i −0.425904 0.0750984i −0.0434122 0.999057i \(-0.513823\pi\)
−0.382492 + 0.923959i \(0.624934\pi\)
\(14\) −4.09827 1.26701i −1.09531 0.338622i
\(15\) −0.0282772 0.0237274i −0.00730115 0.00612639i
\(16\) 2.50192 3.12096i 0.625479 0.780241i
\(17\) −4.84662 1.76403i −1.17548 0.427839i −0.320875 0.947121i \(-0.603977\pi\)
−0.854603 + 0.519282i \(0.826199\pi\)
\(18\) −3.56257 + 2.29774i −0.839705 + 0.541582i
\(19\) −4.29322 0.753853i −0.984931 0.172946i
\(20\) 0.624360 1.37904i 0.139611 0.308362i
\(21\) 0.0505948 0.139008i 0.0110407 0.0303340i
\(22\) 0.785579 0.727981i 0.167486 0.155206i
\(23\) −1.13123 + 1.34815i −0.235879 + 0.281109i −0.870979 0.491321i \(-0.836514\pi\)
0.635100 + 0.772430i \(0.280959\pi\)
\(24\) 0.103251 + 0.0914706i 0.0210759 + 0.0186714i
\(25\) −0.768759 + 4.35985i −0.153752 + 0.871970i
\(26\) 2.20252 0.108518i 0.431950 0.0212820i
\(27\) −0.146250 0.253312i −0.0281458 0.0487500i
\(28\) 6.04894 + 0.461053i 1.14314 + 0.0871308i
\(29\) −0.178978 0.491737i −0.0332353 0.0913133i 0.921965 0.387273i \(-0.126583\pi\)
−0.955200 + 0.295960i \(0.904361\pi\)
\(30\) 0.0464391 + 0.0238453i 0.00847857 + 0.00435353i
\(31\) 3.59957 6.23464i 0.646502 1.11978i −0.337450 0.941343i \(-0.609564\pi\)
0.983952 0.178432i \(-0.0571023\pi\)
\(32\) −2.47063 + 5.08881i −0.436750 + 0.899583i
\(33\) 0.0237409 + 0.0282933i 0.00413277 + 0.00492524i
\(34\) 7.23685 + 0.911576i 1.24111 + 0.156334i
\(35\) 2.26097 0.398670i 0.382174 0.0673876i
\(36\) 4.19156 4.28646i 0.698594 0.714410i
\(37\) 8.80926i 1.44823i 0.689678 + 0.724116i \(0.257752\pi\)
−0.689678 + 0.724116i \(0.742248\pi\)
\(38\) 6.15673 0.307741i 0.998753 0.0499223i
\(39\) 0.0760464i 0.0121772i
\(40\) −0.428204 + 2.09756i −0.0677050 + 0.331654i
\(41\) −2.56508 + 0.452292i −0.400598 + 0.0706361i −0.370317 0.928905i \(-0.620751\pi\)
−0.0302802 + 0.999541i \(0.509640\pi\)
\(42\) −0.0261453 + 0.207563i −0.00403431 + 0.0320277i
\(43\) −6.43028 7.66330i −0.980608 1.16864i −0.985675 0.168656i \(-0.946057\pi\)
0.00506711 0.999987i \(-0.498387\pi\)
\(44\) −0.854829 + 1.25038i −0.128870 + 0.188502i
\(45\) 1.13444 1.96492i 0.169113 0.292912i
\(46\) 1.13685 2.21404i 0.167620 0.326442i
\(47\) 3.62828 + 9.96861i 0.529239 + 1.45407i 0.859969 + 0.510346i \(0.170483\pi\)
−0.330730 + 0.943725i \(0.607295\pi\)
\(48\) −0.171083 0.0937325i −0.0246937 0.0135291i
\(49\) 1.10029 + 1.90575i 0.157184 + 0.272250i
\(50\) −0.308097 6.25329i −0.0435715 0.884349i
\(51\) −0.0436787 + 0.247714i −0.00611624 + 0.0346869i
\(52\) −3.00313 + 0.840824i −0.416459 + 0.116601i
\(53\) 5.23679 6.24096i 0.719328 0.857262i −0.275237 0.961376i \(-0.588756\pi\)
0.994565 + 0.104114i \(0.0332007\pi\)
\(54\) 0.281165 + 0.303411i 0.0382617 + 0.0412890i
\(55\) −0.196052 + 0.538649i −0.0264357 + 0.0726315i
\(56\) −8.48591 + 1.26247i −1.13398 + 0.168705i
\(57\) 0.000151609 0.212580i 2.00811e−5 0.0281570i
\(58\) 0.401117 + 0.621918i 0.0526692 + 0.0816619i
\(59\) −7.79113 2.83574i −1.01432 0.369182i −0.219228 0.975674i \(-0.570354\pi\)
−0.795090 + 0.606492i \(0.792576\pi\)
\(60\) −0.0715204 0.0183083i −0.00923325 0.00236360i
\(61\) −2.83699 2.38052i −0.363239 0.304794i 0.442841 0.896600i \(-0.353971\pi\)
−0.806080 + 0.591806i \(0.798415\pi\)
\(62\) −3.00713 + 9.72690i −0.381907 + 1.23532i
\(63\) 8.95438 + 1.57890i 1.12815 + 0.198923i
\(64\) 1.80995 7.79257i 0.226244 0.974071i
\(65\) −1.02211 + 0.590117i −0.126778 + 0.0731951i
\(66\) −0.0416166 0.0315651i −0.00512265 0.00388539i
\(67\) −8.84545 + 3.21948i −1.08064 + 0.393322i −0.820147 0.572152i \(-0.806109\pi\)
−0.260497 + 0.965475i \(0.583886\pi\)
\(68\) −10.2654 + 1.01400i −1.24486 + 0.122966i
\(69\) 0.0743296 + 0.0429142i 0.00894823 + 0.00516627i
\(70\) −2.99267 + 1.25927i −0.357693 + 0.150512i
\(71\) 6.90158 5.79111i 0.819067 0.687279i −0.133687 0.991024i \(-0.542682\pi\)
0.952753 + 0.303745i \(0.0982371\pi\)
\(72\) −4.43483 + 7.22621i −0.522649 + 0.851618i
\(73\) −1.69979 9.64000i −0.198946 1.12828i −0.906687 0.421805i \(-0.861397\pi\)
0.707741 0.706472i \(-0.249714\pi\)
\(74\) −2.76447 12.1476i −0.321363 1.41213i
\(75\) 0.215907 0.0249308
\(76\) −8.39329 + 2.35643i −0.962776 + 0.270301i
\(77\) −2.29716 −0.261786
\(78\) −0.0238644 0.104865i −0.00270211 0.0118736i
\(79\) 2.62972 + 14.9139i 0.295866 + 1.67794i 0.663660 + 0.748034i \(0.269002\pi\)
−0.367794 + 0.929907i \(0.619887\pi\)
\(80\) −0.0677710 3.02683i −0.00757703 0.338409i
\(81\) 6.87801 5.77133i 0.764223 0.641259i
\(82\) 3.39519 1.42865i 0.374936 0.157768i
\(83\) 10.6616 + 6.15546i 1.17026 + 0.675650i 0.953741 0.300629i \(-0.0971965\pi\)
0.216519 + 0.976279i \(0.430530\pi\)
\(84\) −0.0290831 0.294425i −0.00317322 0.0321244i
\(85\) −3.66839 + 1.33518i −0.397893 + 0.144821i
\(86\) 11.2719 + 8.54945i 1.21548 + 0.921911i
\(87\) −0.0221016 + 0.0127604i −0.00236954 + 0.00136806i
\(88\) 0.786385 1.99248i 0.0838289 0.212399i
\(89\) 13.0613 + 2.30306i 1.38450 + 0.244124i 0.815757 0.578394i \(-0.196321\pi\)
0.568739 + 0.822518i \(0.307432\pi\)
\(90\) −0.947731 + 3.06554i −0.0998996 + 0.323136i
\(91\) −3.62321 3.04023i −0.379816 0.318703i
\(92\) −0.872873 + 3.40982i −0.0910033 + 0.355499i
\(93\) −0.329923 0.120082i −0.0342115 0.0124520i
\(94\) −8.13153 12.6077i −0.838703 1.30038i
\(95\) −2.85604 + 1.65165i −0.293024 + 0.169456i
\(96\) 0.265330 + 0.0755648i 0.0270802 + 0.00771230i
\(97\) −1.74814 + 4.80298i −0.177497 + 0.487669i −0.996254 0.0864706i \(-0.972441\pi\)
0.818757 + 0.574140i \(0.194663\pi\)
\(98\) −2.11530 2.28266i −0.213677 0.230584i
\(99\) −1.45925 + 1.73906i −0.146660 + 0.174782i
\(100\) 2.38722 + 8.52633i 0.238722 + 0.852633i
\(101\) 1.38063 7.82996i 0.137378 0.779110i −0.835796 0.549040i \(-0.814993\pi\)
0.973174 0.230070i \(-0.0738955\pi\)
\(102\) −0.0175052 0.355294i −0.00173327 0.0351794i
\(103\) −3.24938 5.62810i −0.320171 0.554553i 0.660352 0.750956i \(-0.270407\pi\)
−0.980523 + 0.196403i \(0.937074\pi\)
\(104\) 3.87732 2.10188i 0.380203 0.206107i
\(105\) −0.0382950 0.105215i −0.00373721 0.0102679i
\(106\) −5.26280 + 10.2494i −0.511169 + 0.995509i
\(107\) 6.67434 11.5603i 0.645233 1.11758i −0.339015 0.940781i \(-0.610094\pi\)
0.984248 0.176795i \(-0.0565731\pi\)
\(108\) −0.482929 0.330157i −0.0464699 0.0317694i
\(109\) 7.71028 + 9.18876i 0.738511 + 0.880124i 0.996288 0.0860809i \(-0.0274344\pi\)
−0.257777 + 0.966204i \(0.582990\pi\)
\(110\) 0.101312 0.804298i 0.00965970 0.0766868i
\(111\) 0.423094 0.0746029i 0.0401583 0.00708100i
\(112\) 11.3055 4.40389i 1.06827 0.416129i
\(113\) 0.773048i 0.0727222i 0.999339 + 0.0363611i \(0.0115766\pi\)
−0.999339 + 0.0363611i \(0.988423\pi\)
\(114\) −0.0669198 0.293091i −0.00626761 0.0274505i
\(115\) 1.33205i 0.124214i
\(116\) −0.748289 0.731722i −0.0694769 0.0679387i
\(117\) −4.60320 + 0.811669i −0.425566 + 0.0750388i
\(118\) 11.6335 + 1.46539i 1.07095 + 0.134900i
\(119\) −10.0561 11.9844i −0.921838 1.09860i
\(120\) 0.104369 + 0.00280230i 0.00952754 + 0.000255813i
\(121\) −5.21323 + 9.02957i −0.473930 + 0.820870i
\(122\) 4.65913 + 2.39234i 0.421817 + 0.216592i
\(123\) 0.0434457 + 0.119366i 0.00391737 + 0.0107629i
\(124\) 1.09427 14.3567i 0.0982683 1.28927i
\(125\) 3.56767 + 6.17939i 0.319102 + 0.552701i
\(126\) −12.8432 + 0.632779i −1.14416 + 0.0563724i
\(127\) 0.599259 3.39856i 0.0531756 0.301574i −0.946608 0.322388i \(-0.895515\pi\)
0.999783 + 0.0208137i \(0.00662569\pi\)
\(128\) −0.0504258 + 11.3136i −0.00445705 + 0.999990i
\(129\) −0.313600 + 0.373734i −0.0276109 + 0.0329054i
\(130\) 1.22426 1.13450i 0.107375 0.0995022i
\(131\) −5.11120 + 14.0429i −0.446568 + 1.22694i 0.488530 + 0.872547i \(0.337533\pi\)
−0.935098 + 0.354389i \(0.884689\pi\)
\(132\) 0.0672930 + 0.0304670i 0.00585710 + 0.00265181i
\(133\) −10.1344 8.49146i −0.878764 0.736303i
\(134\) 11.1872 7.21535i 0.966425 0.623312i
\(135\) −0.208040 0.0757205i −0.0179053 0.00651698i
\(136\) 13.8373 4.61969i 1.18654 0.396135i
\(137\) −4.04425 3.39353i −0.345524 0.289929i 0.453466 0.891274i \(-0.350187\pi\)
−0.798990 + 0.601345i \(0.794632\pi\)
\(138\) −0.115964 0.0358512i −0.00987154 0.00305185i
\(139\) 2.03176 + 0.358254i 0.172332 + 0.0303867i 0.259148 0.965838i \(-0.416558\pi\)
−0.0868164 + 0.996224i \(0.527669\pi\)
\(140\) 3.73159 2.67563i 0.315377 0.226132i
\(141\) 0.448050 0.258682i 0.0377326 0.0217849i
\(142\) −7.69964 + 10.1515i −0.646140 + 0.851895i
\(143\) 1.10969 0.403894i 0.0927970 0.0337753i
\(144\) 3.84775 11.3563i 0.320645 0.946362i
\(145\) −0.343016 0.198040i −0.0284859 0.0164464i
\(146\) 5.36911 + 12.7597i 0.444351 + 1.05600i
\(147\) 0.0822122 0.0689842i 0.00678074 0.00568972i
\(148\) 7.62417 + 15.8835i 0.626703 + 1.30561i
\(149\) 2.62167 + 14.8682i 0.214776 + 1.21805i 0.881295 + 0.472566i \(0.156672\pi\)
−0.666520 + 0.745487i \(0.732217\pi\)
\(150\) −0.297726 + 0.0677546i −0.0243092 + 0.00553214i
\(151\) 6.29994 0.512682 0.256341 0.966586i \(-0.417483\pi\)
0.256341 + 0.966586i \(0.417483\pi\)
\(152\) 10.8345 5.88335i 0.878793 0.477202i
\(153\) −15.4607 −1.24993
\(154\) 3.16768 0.720882i 0.255259 0.0580903i
\(155\) −0.946210 5.36622i −0.0760014 0.431026i
\(156\) 0.0658160 + 0.137115i 0.00526950 + 0.0109780i
\(157\) −0.586898 + 0.492466i −0.0468395 + 0.0393030i −0.665907 0.746035i \(-0.731955\pi\)
0.619067 + 0.785338i \(0.287511\pi\)
\(158\) −8.30645 19.7403i −0.660826 1.57046i
\(159\) −0.344092 0.198662i −0.0272883 0.0157549i
\(160\) 1.04331 + 4.15259i 0.0824812 + 0.328291i
\(161\) −5.01624 + 1.82576i −0.395335 + 0.143890i
\(162\) −7.67334 + 10.1168i −0.602875 + 0.794853i
\(163\) 10.9317 6.31140i 0.856234 0.494347i −0.00651568 0.999979i \(-0.502074\pi\)
0.862749 + 0.505632i \(0.168741\pi\)
\(164\) −4.23349 + 3.03550i −0.330580 + 0.237033i
\(165\) 0.0275308 + 0.00485442i 0.00214327 + 0.000377916i
\(166\) −16.6335 5.14236i −1.29101 0.399125i
\(167\) −10.1626 8.52746i −0.786408 0.659875i 0.158446 0.987368i \(-0.449352\pi\)
−0.944854 + 0.327493i \(0.893796\pi\)
\(168\) 0.132499 + 0.396873i 0.0102225 + 0.0306194i
\(169\) −9.93120 3.61466i −0.763938 0.278051i
\(170\) 4.63955 2.99235i 0.355837 0.229503i
\(171\) −12.8662 + 2.27812i −0.983903 + 0.174212i
\(172\) −18.2264 8.25203i −1.38975 0.629211i
\(173\) 3.89414 10.6990i 0.296066 0.813434i −0.699082 0.715041i \(-0.746408\pi\)
0.995148 0.0983922i \(-0.0313700\pi\)
\(174\) 0.0264728 0.0245318i 0.00200690 0.00185975i
\(175\) −8.63167 + 10.2868i −0.652493 + 0.777611i
\(176\) −0.459123 + 2.99432i −0.0346077 + 0.225705i
\(177\) −0.0702152 + 0.398210i −0.00527770 + 0.0299313i
\(178\) −18.7337 + 0.923003i −1.40415 + 0.0691820i
\(179\) 3.55631 + 6.15972i 0.265811 + 0.460399i 0.967776 0.251813i \(-0.0810268\pi\)
−0.701964 + 0.712212i \(0.747693\pi\)
\(180\) 0.344871 4.52465i 0.0257051 0.337248i
\(181\) −3.43948 9.44990i −0.255655 0.702405i −0.999423 0.0339678i \(-0.989186\pi\)
0.743768 0.668438i \(-0.233037\pi\)
\(182\) 5.95032 + 3.05534i 0.441067 + 0.226477i
\(183\) −0.0903068 + 0.156416i −0.00667567 + 0.0115626i
\(184\) 0.133603 4.97592i 0.00984934 0.366830i
\(185\) 4.28591 + 5.10775i 0.315106 + 0.375529i
\(186\) 0.492634 + 0.0620536i 0.0361217 + 0.00454999i
\(187\) 3.84670 0.678278i 0.281299 0.0496006i
\(188\) 15.1695 + 14.8336i 1.10635 + 1.08186i
\(189\) 0.887223i 0.0645360i
\(190\) 3.42005 3.17383i 0.248116 0.230254i
\(191\) 8.64923i 0.625836i 0.949780 + 0.312918i \(0.101307\pi\)
−0.949780 + 0.312918i \(0.898693\pi\)
\(192\) −0.389592 0.0209361i −0.0281164 0.00151093i
\(193\) 14.2454 2.51184i 1.02540 0.180806i 0.364442 0.931226i \(-0.381260\pi\)
0.660962 + 0.750420i \(0.270149\pi\)
\(194\) 0.903369 7.17170i 0.0648581 0.514898i
\(195\) 0.0369983 + 0.0440929i 0.00264951 + 0.00315756i
\(196\) 3.63324 + 2.48388i 0.259517 + 0.177420i
\(197\) −1.14351 + 1.98061i −0.0814716 + 0.141113i −0.903882 0.427781i \(-0.859295\pi\)
0.822411 + 0.568894i \(0.192629\pi\)
\(198\) 1.46649 2.85602i 0.104219 0.202969i
\(199\) −2.83294 7.78345i −0.200822 0.551754i 0.797873 0.602826i \(-0.205959\pi\)
−0.998695 + 0.0510715i \(0.983736\pi\)
\(200\) −5.96756 11.0083i −0.421970 0.778404i
\(201\) 0.229536 + 0.397568i 0.0161902 + 0.0280423i
\(202\) 0.553319 + 11.2304i 0.0389314 + 0.790170i
\(203\) 0.275629 1.56317i 0.0193454 0.109713i
\(204\) 0.135635 + 0.484442i 0.00949637 + 0.0339177i
\(205\) −1.26722 + 1.51022i −0.0885066 + 0.105478i
\(206\) 6.24693 + 6.74120i 0.435245 + 0.469681i
\(207\) −1.80432 + 4.95733i −0.125409 + 0.344558i
\(208\) −4.68706 + 4.11517i −0.324989 + 0.285335i
\(209\) 3.10123 1.13126i 0.214516 0.0782509i
\(210\) 0.0858249 + 0.133069i 0.00592248 + 0.00918262i
\(211\) 13.0032 + 4.73277i 0.895175 + 0.325817i 0.748318 0.663341i \(-0.230862\pi\)
0.146857 + 0.989158i \(0.453084\pi\)
\(212\) 4.04077 15.7850i 0.277521 1.08412i
\(213\) −0.336585 0.282428i −0.0230624 0.0193517i
\(214\) −5.57584 + 18.0357i −0.381157 + 1.23289i
\(215\) −7.45676 1.31483i −0.508547 0.0896705i
\(216\) 0.769546 + 0.303722i 0.0523610 + 0.0206657i
\(217\) 18.9112 10.9184i 1.28378 0.741188i
\(218\) −13.5157 10.2513i −0.915399 0.694306i
\(219\) −0.448599 + 0.163277i −0.0303135 + 0.0110332i
\(220\) 0.112696 + 1.14088i 0.00759793 + 0.0769184i
\(221\) 6.96492 + 4.02120i 0.468511 + 0.270495i
\(222\) −0.560017 + 0.235647i −0.0375859 + 0.0158156i
\(223\) 7.16674 6.01361i 0.479921 0.402701i −0.370477 0.928842i \(-0.620806\pi\)
0.850398 + 0.526140i \(0.176361\pi\)
\(224\) −14.2078 + 9.62061i −0.949300 + 0.642804i
\(225\) 2.30445 + 13.0692i 0.153630 + 0.871279i
\(226\) −0.242593 1.06600i −0.0161371 0.0709092i
\(227\) 28.0188 1.85967 0.929837 0.367972i \(-0.119948\pi\)
0.929837 + 0.367972i \(0.119948\pi\)
\(228\) 0.184256 + 0.383160i 0.0122026 + 0.0253754i
\(229\) 21.2119 1.40172 0.700861 0.713298i \(-0.252799\pi\)
0.700861 + 0.713298i \(0.252799\pi\)
\(230\) −0.418017 1.83684i −0.0275632 0.121118i
\(231\) 0.0194540 + 0.110329i 0.00127998 + 0.00725911i
\(232\) 1.26148 + 0.774189i 0.0828204 + 0.0508280i
\(233\) 7.85528 6.59136i 0.514617 0.431815i −0.348134 0.937445i \(-0.613184\pi\)
0.862750 + 0.505630i \(0.168740\pi\)
\(234\) 6.09291 2.56381i 0.398306 0.167601i
\(235\) 6.95370 + 4.01472i 0.453609 + 0.261891i
\(236\) −16.5020 + 1.63005i −1.07419 + 0.106107i
\(237\) 0.694019 0.252602i 0.0450814 0.0164083i
\(238\) 17.6277 + 13.3702i 1.14264 + 0.866659i
\(239\) −3.59307 + 2.07446i −0.232416 + 0.134186i −0.611686 0.791100i \(-0.709509\pi\)
0.379270 + 0.925286i \(0.376175\pi\)
\(240\) −0.144800 + 0.0288882i −0.00934678 + 0.00186473i
\(241\) −7.29483 1.28628i −0.469902 0.0828563i −0.0663169 0.997799i \(-0.521125\pi\)
−0.403585 + 0.914942i \(0.632236\pi\)
\(242\) 4.35520 14.0874i 0.279963 0.905571i
\(243\) −1.00764 0.845509i −0.0646401 0.0542395i
\(244\) −7.17548 1.83684i −0.459363 0.117591i
\(245\) 1.56516 + 0.569670i 0.0999942 + 0.0363949i
\(246\) −0.0973685 0.150967i −0.00620799 0.00962529i
\(247\) 6.38862 + 2.32011i 0.406498 + 0.147625i
\(248\) 2.99637 + 20.1406i 0.190270 + 1.27893i
\(249\) 0.205347 0.564187i 0.0130133 0.0357539i
\(250\) −6.85884 7.40152i −0.433791 0.468113i
\(251\) 5.06780 6.03957i 0.319877 0.381214i −0.582014 0.813179i \(-0.697735\pi\)
0.901891 + 0.431965i \(0.142179\pi\)
\(252\) 17.5116 4.90295i 1.10313 0.308857i
\(253\) 0.231440 1.31256i 0.0145505 0.0825202i
\(254\) 0.240166 + 4.87453i 0.0150694 + 0.305855i
\(255\) 0.0951932 + 0.164879i 0.00596123 + 0.0103252i
\(256\) −3.48083 15.6168i −0.217552 0.976049i
\(257\) −2.87499 7.89897i −0.179337 0.492724i 0.817154 0.576419i \(-0.195550\pi\)
−0.996491 + 0.0836944i \(0.973328\pi\)
\(258\) 0.315158 0.613775i 0.0196209 0.0382120i
\(259\) −13.3603 + 23.1407i −0.830170 + 1.43790i
\(260\) −1.33218 + 1.94862i −0.0826184 + 0.120848i
\(261\) −1.00830 1.20165i −0.0624125 0.0743803i
\(262\) 2.64126 20.9685i 0.163178 1.29544i
\(263\) −22.8569 + 4.03030i −1.40942 + 0.248519i −0.826008 0.563658i \(-0.809393\pi\)
−0.583411 + 0.812177i \(0.698282\pi\)
\(264\) −0.102355 0.0208951i −0.00629952 0.00128601i
\(265\) 6.16643i 0.378801i
\(266\) 16.6396 + 8.52903i 1.02024 + 0.522949i
\(267\) 0.646817i 0.0395846i
\(268\) −13.1623 + 13.4604i −0.804018 + 0.822222i
\(269\) −22.6141 + 3.98747i −1.37880 + 0.243120i −0.813405 0.581698i \(-0.802389\pi\)
−0.565398 + 0.824818i \(0.691277\pi\)
\(270\) 0.310641 + 0.0391293i 0.0189050 + 0.00238133i
\(271\) 1.64574 + 1.96132i 0.0999715 + 0.119141i 0.813710 0.581270i \(-0.197444\pi\)
−0.713739 + 0.700412i \(0.753000\pi\)
\(272\) −17.6313 + 10.7127i −1.06905 + 0.649552i
\(273\) −0.115334 + 0.199764i −0.00698031 + 0.0120902i
\(274\) 6.64178 + 3.41039i 0.401245 + 0.206029i
\(275\) −1.14672 3.15058i −0.0691496 0.189987i
\(276\) 0.171160 + 0.0130459i 0.0103026 + 0.000785272i
\(277\) 0.506680 + 0.877596i 0.0304435 + 0.0527296i 0.880846 0.473403i \(-0.156975\pi\)
−0.850402 + 0.526133i \(0.823641\pi\)
\(278\) −2.91414 + 0.143578i −0.174778 + 0.00861126i
\(279\) 3.74738 21.2525i 0.224350 1.27235i
\(280\) −4.30605 + 4.86060i −0.257336 + 0.290476i
\(281\) −0.958866 + 1.14273i −0.0572011 + 0.0681697i −0.793886 0.608066i \(-0.791946\pi\)
0.736685 + 0.676236i \(0.236390\pi\)
\(282\) −0.536663 + 0.497315i −0.0319578 + 0.0296147i
\(283\) −0.620886 + 1.70587i −0.0369078 + 0.101403i −0.956778 0.290820i \(-0.906072\pi\)
0.919870 + 0.392224i \(0.128294\pi\)
\(284\) 7.43179 16.4147i 0.440995 0.974036i
\(285\) 0.103513 + 0.123184i 0.00613160 + 0.00729678i
\(286\) −1.40347 + 0.905189i −0.0829887 + 0.0535250i
\(287\) −7.42407 2.70214i −0.438229 0.159502i
\(288\) −1.74209 + 16.8674i −0.102654 + 0.993920i
\(289\) 7.35519 + 6.17174i 0.432658 + 0.363043i
\(290\) 0.535152 + 0.165446i 0.0314252 + 0.00971531i
\(291\) 0.245484 + 0.0432854i 0.0143905 + 0.00253744i
\(292\) −11.4079 15.9102i −0.667600 0.931074i
\(293\) −22.4015 + 12.9335i −1.30871 + 0.755585i −0.981881 0.189498i \(-0.939314\pi\)
−0.326831 + 0.945083i \(0.605981\pi\)
\(294\) −0.0917188 + 0.120926i −0.00534915 + 0.00705252i
\(295\) −5.89707 + 2.14636i −0.343341 + 0.124966i
\(296\) −15.4978 19.5100i −0.900794 1.13400i
\(297\) 0.191840 + 0.110759i 0.0111317 + 0.00642690i
\(298\) −8.28103 19.6799i −0.479707 1.14003i
\(299\) 2.10218 1.76394i 0.121572 0.102011i
\(300\) 0.389289 0.186861i 0.0224756 0.0107884i
\(301\) −5.26914 29.8828i −0.303708 1.72241i
\(302\) −8.68735 + 1.97701i −0.499901 + 0.113764i
\(303\) −0.387752 −0.0222758
\(304\) −13.0940 + 11.5129i −0.750993 + 0.660310i
\(305\) −2.80311 −0.160506
\(306\) 21.3197 4.85180i 1.21876 0.277359i
\(307\) 0.350833 + 1.98967i 0.0200231 + 0.113557i 0.993181 0.116581i \(-0.0371935\pi\)
−0.973158 + 0.230138i \(0.926082\pi\)
\(308\) −4.14188 + 1.98813i −0.236005 + 0.113284i
\(309\) −0.242790 + 0.203725i −0.0138119 + 0.0115895i
\(310\) 2.98878 + 7.10286i 0.169751 + 0.403415i
\(311\) −23.8648 13.7783i −1.35325 0.781298i −0.364545 0.931186i \(-0.618776\pi\)
−0.988703 + 0.149887i \(0.952109\pi\)
\(312\) −0.133786 0.168421i −0.00757414 0.00953498i
\(313\) −15.2863 + 5.56377i −0.864034 + 0.314483i −0.735749 0.677255i \(-0.763170\pi\)
−0.128285 + 0.991737i \(0.540947\pi\)
\(314\) 0.654764 0.863266i 0.0369505 0.0487169i
\(315\) 5.96007 3.44105i 0.335812 0.193881i
\(316\) 17.6490 + 24.6144i 0.992835 + 1.38467i
\(317\) −3.12323 0.550709i −0.175418 0.0309309i 0.0852491 0.996360i \(-0.472831\pi\)
−0.260667 + 0.965429i \(0.583942\pi\)
\(318\) 0.536831 + 0.165965i 0.0301040 + 0.00930684i
\(319\) 0.303588 + 0.254741i 0.0169977 + 0.0142628i
\(320\) −2.74183 5.39884i −0.153273 0.301804i
\(321\) −0.611745 0.222657i −0.0341443 0.0124275i
\(322\) 6.34422 4.09181i 0.353550 0.228028i
\(323\) 19.4778 + 11.2270i 1.08377 + 0.624686i
\(324\) 7.40640 16.3587i 0.411467 0.908815i
\(325\) 2.36104 6.48691i 0.130967 0.359829i
\(326\) −13.0937 + 12.1336i −0.725192 + 0.672021i
\(327\) 0.376025 0.448129i 0.0207942 0.0247816i
\(328\) 4.88522 5.51436i 0.269741 0.304479i
\(329\) −5.58762 + 31.6889i −0.308055 + 1.74707i
\(330\) −0.0394871 + 0.00194552i −0.00217369 + 0.000107097i
\(331\) −0.852024 1.47575i −0.0468315 0.0811145i 0.841659 0.540009i \(-0.181579\pi\)
−0.888491 + 0.458894i \(0.848246\pi\)
\(332\) 24.5506 + 1.87126i 1.34739 + 0.102699i
\(333\) 9.03166 + 24.8143i 0.494932 + 1.35981i
\(334\) 16.6899 + 8.56982i 0.913229 + 0.468920i
\(335\) −3.56238 + 6.17023i −0.194634 + 0.337116i
\(336\) −0.307255 0.505691i −0.0167621 0.0275877i
\(337\) −7.69079 9.16552i −0.418944 0.499278i 0.514755 0.857337i \(-0.327883\pi\)
−0.933699 + 0.358060i \(0.883438\pi\)
\(338\) 14.8290 + 1.86791i 0.806592 + 0.101601i
\(339\) 0.0371282 0.00654671i 0.00201653 0.000355568i
\(340\) −5.45869 + 5.58228i −0.296039 + 0.302742i
\(341\) 5.45211i 0.295249i
\(342\) 17.0270 7.17903i 0.920716 0.388197i
\(343\) 14.5578i 0.786049i
\(344\) 27.7231 + 5.65948i 1.49473 + 0.305139i
\(345\) 0.0639763 0.0112807i 0.00344437 0.000607335i
\(346\) −2.01233 + 15.9756i −0.108184 + 0.858851i
\(347\) 3.49270 + 4.16244i 0.187498 + 0.223451i 0.851602 0.524189i \(-0.175631\pi\)
−0.664104 + 0.747640i \(0.731187\pi\)
\(348\) −0.0288064 + 0.0421358i −0.00154419 + 0.00225872i
\(349\) −3.58269 + 6.20540i −0.191777 + 0.332167i −0.945839 0.324636i \(-0.894758\pi\)
0.754062 + 0.656803i \(0.228092\pi\)
\(350\) 8.67455 16.8938i 0.463674 0.903013i
\(351\) 0.155994 + 0.428591i 0.00832637 + 0.0228765i
\(352\) −0.306548 4.27311i −0.0163391 0.227758i
\(353\) −12.4326 21.5339i −0.661721 1.14614i −0.980163 0.198193i \(-0.936493\pi\)
0.318442 0.947942i \(-0.396840\pi\)
\(354\) −0.0281403 0.571149i −0.00149564 0.0303562i
\(355\) 1.18413 6.71556i 0.0628473 0.356425i
\(356\) 25.5433 7.15168i 1.35379 0.379038i
\(357\) −0.490427 + 0.584468i −0.0259562 + 0.0309333i
\(358\) −6.83701 7.37796i −0.361347 0.389937i
\(359\) −2.84636 + 7.82030i −0.150225 + 0.412740i −0.991864 0.127301i \(-0.959369\pi\)
0.841639 + 0.540040i \(0.181591\pi\)
\(360\) 0.944339 + 6.34752i 0.0497710 + 0.334544i
\(361\) 17.8634 + 6.47291i 0.940180 + 0.340679i
\(362\) 7.70841 + 11.9516i 0.405145 + 0.628164i
\(363\) 0.477825 + 0.173914i 0.0250793 + 0.00912812i
\(364\) −9.16403 2.34588i −0.480326 0.122958i
\(365\) −5.67566 4.76244i −0.297077 0.249278i
\(366\) 0.0754436 0.244030i 0.00394350 0.0127557i
\(367\) −5.79355 1.02156i −0.302421 0.0533249i 0.0203787 0.999792i \(-0.493513\pi\)
−0.322799 + 0.946467i \(0.604624\pi\)
\(368\) 1.37728 + 6.90350i 0.0717958 + 0.359870i
\(369\) −6.76170 + 3.90387i −0.352000 + 0.203227i
\(370\) −7.51297 5.69838i −0.390581 0.296245i
\(371\) 23.2215 8.45195i 1.20560 0.438803i
\(372\) −0.698794 + 0.0690262i −0.0362308 + 0.00357884i
\(373\) 18.2764 + 10.5519i 0.946317 + 0.546356i 0.891935 0.452164i \(-0.149348\pi\)
0.0543820 + 0.998520i \(0.482681\pi\)
\(374\) −5.09158 + 2.14247i −0.263279 + 0.110784i
\(375\) 0.266572 0.223681i 0.0137657 0.0115508i
\(376\) −25.5731 15.6946i −1.31883 0.809385i
\(377\) 0.141693 + 0.803583i 0.00729758 + 0.0413866i
\(378\) 0.278423 + 1.22344i 0.0143205 + 0.0629271i
\(379\) −12.0168 −0.617263 −0.308631 0.951182i \(-0.599871\pi\)
−0.308631 + 0.951182i \(0.599871\pi\)
\(380\) −3.72010 + 5.44983i −0.190837 + 0.279570i
\(381\) −0.168302 −0.00862240
\(382\) −2.71425 11.9269i −0.138873 0.610234i
\(383\) −3.07265 17.4259i −0.157005 0.890419i −0.956930 0.290319i \(-0.906238\pi\)
0.799925 0.600100i \(-0.204873\pi\)
\(384\) 0.543801 0.0933896i 0.0277507 0.00476577i
\(385\) −1.33193 + 1.11762i −0.0678815 + 0.0569593i
\(386\) −18.8555 + 7.93412i −0.959719 + 0.403836i
\(387\) −25.9699 14.9937i −1.32012 0.762173i
\(388\) 1.00487 + 10.1729i 0.0510147 + 0.516453i
\(389\) 22.3252 8.12572i 1.13193 0.411991i 0.292940 0.956131i \(-0.405366\pi\)
0.838994 + 0.544140i \(0.183144\pi\)
\(390\) −0.0648561 0.0491916i −0.00328412 0.00249091i
\(391\) 7.86084 4.53846i 0.397540 0.229520i
\(392\) −5.78955 2.28500i −0.292417 0.115410i
\(393\) 0.717744 + 0.126558i 0.0362054 + 0.00638399i
\(394\) 0.955303 3.09003i 0.0481275 0.155673i
\(395\) 8.78070 + 7.36788i 0.441805 + 0.370718i
\(396\) −1.12597 + 4.39853i −0.0565822 + 0.221035i
\(397\) 26.0487 + 9.48094i 1.30734 + 0.475835i 0.899382 0.437164i \(-0.144017\pi\)
0.407963 + 0.912999i \(0.366239\pi\)
\(398\) 6.34906 + 9.84402i 0.318250 + 0.493436i
\(399\) −0.322006 + 0.558650i −0.0161205 + 0.0279675i
\(400\) 11.6836 + 13.3072i 0.584178 + 0.665362i
\(401\) −8.35712 + 22.9610i −0.417334 + 1.14662i 0.535873 + 0.844299i \(0.319983\pi\)
−0.953207 + 0.302318i \(0.902239\pi\)
\(402\) −0.441283 0.476197i −0.0220092 0.0237506i
\(403\) −7.21573 + 8.59938i −0.359441 + 0.428366i
\(404\) −4.28727 15.3126i −0.213300 0.761832i
\(405\) 1.18009 6.69262i 0.0586392 0.332559i
\(406\) 0.110464 + 2.24204i 0.00548226 + 0.111271i
\(407\) −3.33575 5.77769i −0.165347 0.286389i
\(408\) −0.339060 0.625460i −0.0167860 0.0309649i
\(409\) −2.46916 6.78397i −0.122092 0.335446i 0.863557 0.504251i \(-0.168231\pi\)
−0.985649 + 0.168805i \(0.946009\pi\)
\(410\) 1.27352 2.48019i 0.0628945 0.122488i
\(411\) −0.128736 + 0.222978i −0.00635009 + 0.0109987i
\(412\) −10.7297 7.33544i −0.528616 0.361391i
\(413\) −16.1655 19.2653i −0.795453 0.947983i
\(414\) 0.932398 7.40216i 0.0458249 0.363796i
\(415\) 9.17653 1.61807i 0.450458 0.0794279i
\(416\) 5.17185 7.14550i 0.253571 0.350337i
\(417\) 0.100616i 0.00492719i
\(418\) −3.92145 + 2.53317i −0.191805 + 0.123901i
\(419\) 14.7450i 0.720341i 0.932887 + 0.360170i \(0.117281\pi\)
−0.932887 + 0.360170i \(0.882719\pi\)
\(420\) −0.160108 0.156563i −0.00781246 0.00763949i
\(421\) −2.41752 + 0.426275i −0.117823 + 0.0207754i −0.232249 0.972656i \(-0.574608\pi\)
0.114426 + 0.993432i \(0.463497\pi\)
\(422\) −19.4160 2.44570i −0.945156 0.119055i
\(423\) 20.4406 + 24.3601i 0.993855 + 1.18443i
\(424\) −0.618485 + 23.0349i −0.0300363 + 1.11867i
\(425\) 11.4168 19.7744i 0.553795 0.959201i
\(426\) 0.552766 + 0.283831i 0.0267816 + 0.0137517i
\(427\) −3.84205 10.5559i −0.185930 0.510838i
\(428\) 2.02900 26.6202i 0.0980753 1.28673i
\(429\) −0.0287960 0.0498762i −0.00139028 0.00240804i
\(430\) 10.6952 0.526946i 0.515766 0.0254116i
\(431\) −5.88885 + 33.3973i −0.283656 + 1.60869i 0.426391 + 0.904539i \(0.359785\pi\)
−0.710047 + 0.704154i \(0.751326\pi\)
\(432\) −1.15648 0.177325i −0.0556413 0.00853157i
\(433\) 12.1460 14.4750i 0.583698 0.695624i −0.390684 0.920525i \(-0.627761\pi\)
0.974382 + 0.224901i \(0.0722059\pi\)
\(434\) −22.6514 + 20.9906i −1.08730 + 1.00758i
\(435\) −0.00660666 + 0.0181516i −0.000316765 + 0.000870305i
\(436\) 21.8546 + 9.89468i 1.04664 + 0.473869i
\(437\) 5.87294 4.93512i 0.280941 0.236079i
\(438\) 0.567359 0.365928i 0.0271095 0.0174847i
\(439\) 18.3905 + 6.69359i 0.877730 + 0.319468i 0.741293 0.671181i \(-0.234213\pi\)
0.136437 + 0.990649i \(0.456435\pi\)
\(440\) −0.513428 1.53787i −0.0244767 0.0733148i
\(441\) 5.05320 + 4.24014i 0.240629 + 0.201911i
\(442\) −10.8662 3.35936i −0.516854 0.159789i
\(443\) −10.5778 1.86515i −0.502567 0.0886161i −0.0833832 0.996518i \(-0.526573\pi\)
−0.419184 + 0.907901i \(0.637684\pi\)
\(444\) 0.698290 0.500688i 0.0331394 0.0237616i
\(445\) 8.69365 5.01928i 0.412119 0.237937i
\(446\) −7.99547 + 10.5415i −0.378596 + 0.499156i
\(447\) 0.691895 0.251829i 0.0327255 0.0119111i
\(448\) 16.5729 17.7250i 0.782995 0.837428i
\(449\) −12.5426 7.24145i −0.591920 0.341745i 0.173936 0.984757i \(-0.444351\pi\)
−0.765856 + 0.643012i \(0.777685\pi\)
\(450\) −7.27903 17.2987i −0.343137 0.815467i
\(451\) 1.51108 1.26794i 0.0711538 0.0597052i
\(452\) 0.669051 + 1.39384i 0.0314695 + 0.0655606i
\(453\) −0.0533523 0.302576i −0.00250671 0.0142163i
\(454\) −38.6367 + 8.79270i −1.81331 + 0.412662i
\(455\) −3.57994 −0.167830
\(456\) −0.374322 0.470539i −0.0175292 0.0220350i
\(457\) 1.91109 0.0893972 0.0446986 0.999001i \(-0.485767\pi\)
0.0446986 + 0.999001i \(0.485767\pi\)
\(458\) −29.2503 + 6.65659i −1.36678 + 0.311042i
\(459\) 0.261968 + 1.48570i 0.0122276 + 0.0693464i
\(460\) 1.15285 + 2.40174i 0.0537521 + 0.111982i
\(461\) −12.8228 + 10.7596i −0.597218 + 0.501125i −0.890550 0.454885i \(-0.849680\pi\)
0.293332 + 0.956011i \(0.405236\pi\)
\(462\) −0.0614489 0.146034i −0.00285886 0.00679411i
\(463\) 23.6906 + 13.6778i 1.10100 + 0.635660i 0.936482 0.350715i \(-0.114061\pi\)
0.164513 + 0.986375i \(0.447395\pi\)
\(464\) −1.98248 0.671702i −0.0920344 0.0311830i
\(465\) −0.249718 + 0.0908899i −0.0115804 + 0.00421492i
\(466\) −8.76363 + 11.5543i −0.405967 + 0.535243i
\(467\) −15.5831 + 8.99692i −0.721101 + 0.416328i −0.815158 0.579239i \(-0.803350\pi\)
0.0940567 + 0.995567i \(0.470017\pi\)
\(468\) −7.59729 + 5.44742i −0.351185 + 0.251807i
\(469\) −28.1186 4.95806i −1.29839 0.228942i
\(470\) −10.8487 3.35395i −0.500414 0.154706i
\(471\) 0.0286226 + 0.0240172i 0.00131886 + 0.00110665i
\(472\) 22.2440 7.42632i 1.02386 0.341824i
\(473\) 7.11921 + 2.59118i 0.327342 + 0.119143i
\(474\) −0.877751 + 0.566120i −0.0403165 + 0.0260028i
\(475\) 6.58714 18.1382i 0.302239 0.832240i
\(476\) −28.5036 12.9050i −1.30646 0.591502i
\(477\) 8.35269 22.9488i 0.382443 1.05075i
\(478\) 4.30369 3.98815i 0.196846 0.182414i
\(479\) 18.4519 21.9901i 0.843087 1.00475i −0.156766 0.987636i \(-0.550107\pi\)
0.999853 0.0171167i \(-0.00544868\pi\)
\(480\) 0.190607 0.0852758i 0.00869997 0.00389229i
\(481\) 2.38529 13.5277i 0.108760 0.616808i
\(482\) 10.4629 0.515504i 0.476572 0.0234806i
\(483\) 0.130169 + 0.225460i 0.00592291 + 0.0102588i
\(484\) −1.58482 + 20.7926i −0.0720372 + 0.945118i
\(485\) 1.32316 + 3.63536i 0.0600817 + 0.165073i
\(486\) 1.65482 + 0.849709i 0.0750643 + 0.0385436i
\(487\) −14.1294 + 24.4728i −0.640263 + 1.10897i 0.345111 + 0.938562i \(0.387841\pi\)
−0.985374 + 0.170406i \(0.945492\pi\)
\(488\) 10.4711 + 0.281148i 0.474005 + 0.0127270i
\(489\) −0.395703 0.471580i −0.0178943 0.0213256i
\(490\) −2.33705 0.294382i −0.105577 0.0132988i
\(491\) 3.11289 0.548887i 0.140483 0.0247709i −0.102964 0.994685i \(-0.532833\pi\)
0.243447 + 0.969914i \(0.421722\pi\)
\(492\) 0.181642 + 0.177621i 0.00818907 + 0.00800777i
\(493\) 2.69899i 0.121556i
\(494\) −9.53772 1.19449i −0.429122 0.0537427i
\(495\) 1.71829i 0.0772315i
\(496\) −10.4523 26.8327i −0.469321 1.20482i
\(497\) 26.9125 4.74539i 1.20719 0.212860i
\(498\) −0.106115 + 0.842430i −0.00475513 + 0.0377502i
\(499\) 13.2403 + 15.7791i 0.592715 + 0.706371i 0.976125 0.217207i \(-0.0696948\pi\)
−0.383410 + 0.923578i \(0.625250\pi\)
\(500\) 11.7807 + 8.05397i 0.526851 + 0.360185i
\(501\) −0.323496 + 0.560311i −0.0144527 + 0.0250329i
\(502\) −5.09298 + 9.91865i −0.227311 + 0.442691i
\(503\) −6.36560 17.4893i −0.283828 0.779811i −0.996897 0.0787173i \(-0.974918\pi\)
0.713069 0.701094i \(-0.247305\pi\)
\(504\) −22.6091 + 12.2563i −1.00709 + 0.545941i
\(505\) −3.00895 5.21165i −0.133896 0.231915i
\(506\) 0.0927549 + 1.88260i 0.00412346 + 0.0836916i
\(507\) −0.0895019 + 0.507591i −0.00397492 + 0.0225429i
\(508\) −1.86087 6.64639i −0.0825630 0.294886i
\(509\) −20.1592 + 24.0248i −0.893543 + 1.06488i 0.103983 + 0.994579i \(0.466841\pi\)
−0.997526 + 0.0703037i \(0.977603\pi\)
\(510\) −0.183009 0.197489i −0.00810377 0.00874494i
\(511\) 10.1551 27.9009i 0.449236 1.23427i
\(512\) 9.70068 + 20.4425i 0.428714 + 0.903440i
\(513\) 0.436922 + 1.19777i 0.0192906 + 0.0528831i
\(514\) 6.44330 + 9.99013i 0.284202 + 0.440646i
\(515\) −4.62225 1.68236i −0.203681 0.0741336i
\(516\) −0.241977 + 0.945270i −0.0106525 + 0.0416132i
\(517\) −6.15442 5.16417i −0.270671 0.227120i
\(518\) 11.1614 36.1027i 0.490404 1.58626i
\(519\) −0.546836 0.0964220i −0.0240034 0.00423246i
\(520\) 1.22552 3.10511i 0.0537425 0.136168i
\(521\) 0.219847 0.126929i 0.00963168 0.00556085i −0.495176 0.868792i \(-0.664897\pi\)
0.504808 + 0.863232i \(0.331563\pi\)
\(522\) 1.76750 + 1.34060i 0.0773615 + 0.0586766i
\(523\) −16.5515 + 6.02425i −0.723746 + 0.263422i −0.677515 0.735509i \(-0.736943\pi\)
−0.0462307 + 0.998931i \(0.514721\pi\)
\(524\) 2.93804 + 29.7436i 0.128349 + 1.29935i
\(525\) 0.567159 + 0.327449i 0.0247528 + 0.0142911i
\(526\) 30.2540 12.7304i 1.31914 0.555073i
\(527\) −28.4438 + 23.8672i −1.23903 + 1.03967i
\(528\) 0.147700 0.00330703i 0.00642783 0.000143920i
\(529\) 3.45608 + 19.6004i 0.150265 + 0.852193i
\(530\) 1.93511 + 8.50324i 0.0840560 + 0.369357i
\(531\) −24.8537 −1.07856
\(532\) −25.6219 6.53941i −1.11085 0.283520i
\(533\) 4.06145 0.175921
\(534\) 0.202980 + 0.891933i 0.00878382 + 0.0385977i
\(535\) −1.75447 9.95007i −0.0758522 0.430179i
\(536\) 13.9263 22.6918i 0.601522 0.980135i
\(537\) 0.265724 0.222969i 0.0114668 0.00962181i
\(538\) 29.9325 12.5952i 1.29048 0.543016i
\(539\) −1.44328 0.833278i −0.0621664 0.0358918i
\(540\) −0.440639 + 0.0435259i −0.0189621 + 0.00187306i
\(541\) 17.7401 6.45689i 0.762709 0.277603i 0.0687653 0.997633i \(-0.478094\pi\)
0.693943 + 0.720030i \(0.255872\pi\)
\(542\) −2.88489 2.18811i −0.123917 0.0939875i
\(543\) −0.424735 + 0.245221i −0.0182271 + 0.0105234i
\(544\) 20.9510 20.3053i 0.898267 0.870582i
\(545\) 8.94110 + 1.57656i 0.382994 + 0.0675323i
\(546\) 0.0963513 0.311659i 0.00412346 0.0133378i
\(547\) 2.04894 + 1.71927i 0.0876065 + 0.0735106i 0.685539 0.728036i \(-0.259567\pi\)
−0.597933 + 0.801546i \(0.704011\pi\)
\(548\) −10.2290 2.61849i −0.436959 0.111856i
\(549\) −10.4320 3.79693i −0.445226 0.162049i
\(550\) 2.56997 + 3.98465i 0.109584 + 0.169906i
\(551\) 0.397692 + 2.24606i 0.0169423 + 0.0956853i
\(552\) −0.240117 + 0.0357228i −0.0102200 + 0.00152046i
\(553\) −15.7108 + 43.1650i −0.668091 + 1.83556i
\(554\) −0.974092 1.05116i −0.0413852 0.0446597i
\(555\) 0.209021 0.249101i 0.00887244 0.0105738i
\(556\) 3.97341 1.11249i 0.168510 0.0471799i
\(557\) 1.36362 7.73347i 0.0577784 0.327678i −0.942194 0.335067i \(-0.891241\pi\)
0.999973 + 0.00738933i \(0.00235212\pi\)
\(558\) 1.50185 + 30.4822i 0.0635782 + 1.29041i
\(559\) 7.79945 + 13.5090i 0.329882 + 0.571372i
\(560\) 4.41253 8.05385i 0.186463 0.340337i
\(561\) −0.0651531 0.179007i −0.00275077 0.00755767i
\(562\) 0.963629 1.87668i 0.0406482 0.0791631i
\(563\) 9.25757 16.0346i 0.390160 0.675777i −0.602310 0.798262i \(-0.705753\pi\)
0.992470 + 0.122485i \(0.0390864\pi\)
\(564\) 0.583970 0.854188i 0.0245896 0.0359678i
\(565\) 0.376106 + 0.448225i 0.0158229 + 0.0188570i
\(566\) 0.320848 2.54716i 0.0134863 0.107065i
\(567\) 26.8205 4.72918i 1.12636 0.198607i
\(568\) −5.09693 + 24.9674i −0.213862 + 1.04761i
\(569\) 42.7241i 1.79109i −0.444972 0.895544i \(-0.646786\pi\)
0.444972 0.895544i \(-0.353214\pi\)
\(570\) −0.181397 0.137381i −0.00759789 0.00575426i
\(571\) 32.7962i 1.37248i −0.727376 0.686239i \(-0.759260\pi\)
0.727376 0.686239i \(-0.240740\pi\)
\(572\) 1.65126 1.68864i 0.0690426 0.0706058i
\(573\) 0.415408 0.0732477i 0.0173539 0.00305997i
\(574\) 11.0854 + 1.39636i 0.462697 + 0.0582827i
\(575\) −5.00809 5.96841i −0.208852 0.248900i
\(576\) −2.89096 23.8061i −0.120457 0.991920i
\(577\) −11.0125 + 19.0742i −0.458457 + 0.794071i −0.998880 0.0473226i \(-0.984931\pi\)
0.540422 + 0.841394i \(0.318264\pi\)
\(578\) −12.0793 6.20239i −0.502431 0.257986i
\(579\) −0.241279 0.662910i −0.0100272 0.0275496i
\(580\) −0.789870 0.0602042i −0.0327976 0.00249984i
\(581\) 18.6710 + 32.3392i 0.774605 + 1.34165i
\(582\) −0.352095 + 0.0173476i −0.0145948 + 0.000719081i
\(583\) −1.07140 + 6.07622i −0.0443729 + 0.251651i
\(584\) 20.7239 + 18.3595i 0.857562 + 0.759721i
\(585\) −2.27412 + 2.71019i −0.0940231 + 0.112052i
\(586\) 26.8320 24.8647i 1.10842 1.02715i
\(587\) 13.7736 37.8426i 0.568497 1.56193i −0.238354 0.971178i \(-0.576608\pi\)
0.806851 0.590754i \(-0.201170\pi\)
\(588\) 0.0885280 0.195534i 0.00365083 0.00806367i
\(589\) −20.1538 + 24.0531i −0.830421 + 0.991092i
\(590\) 7.45825 4.81032i 0.307051 0.198038i
\(591\) 0.104810 + 0.0381476i 0.00431130 + 0.00156918i
\(592\) 27.4934 + 22.0400i 1.12997 + 0.905839i
\(593\) 26.7671 + 22.4603i 1.09919 + 0.922332i 0.997371 0.0724705i \(-0.0230883\pi\)
0.101822 + 0.994803i \(0.467533\pi\)
\(594\) −0.299297 0.0925297i −0.0122803 0.00379654i
\(595\) −11.6613 2.05621i −0.478068 0.0842963i
\(596\) 17.5950 + 24.5391i 0.720720 + 1.00516i
\(597\) −0.349835 + 0.201977i −0.0143178 + 0.00826639i
\(598\) −2.34527 + 3.09209i −0.0959053 + 0.126445i
\(599\) 30.0126 10.9237i 1.22628 0.446331i 0.353960 0.935261i \(-0.384835\pi\)
0.872323 + 0.488930i \(0.162613\pi\)
\(600\) −0.478173 + 0.379838i −0.0195213 + 0.0155068i
\(601\) −30.8953 17.8374i −1.26024 0.727602i −0.287122 0.957894i \(-0.592699\pi\)
−0.973122 + 0.230292i \(0.926032\pi\)
\(602\) 16.6436 + 39.5535i 0.678341 + 1.61208i
\(603\) −21.6155 + 18.1375i −0.880251 + 0.738618i
\(604\) 11.3591 5.45242i 0.462193 0.221856i
\(605\) 1.37039 + 7.77185i 0.0557142 + 0.315971i
\(606\) 0.534693 0.121682i 0.0217204 0.00494300i
\(607\) −15.1801 −0.616142 −0.308071 0.951363i \(-0.599683\pi\)
−0.308071 + 0.951363i \(0.599683\pi\)
\(608\) 14.4432 19.9849i 0.585748 0.810493i
\(609\) −0.0774107 −0.00313684
\(610\) 3.86537 0.879656i 0.156504 0.0356162i
\(611\) −2.87244 16.2904i −0.116207 0.659040i
\(612\) −27.8763 + 13.3808i −1.12683 + 0.540888i
\(613\) −25.6192 + 21.4971i −1.03475 + 0.868260i −0.991409 0.130801i \(-0.958245\pi\)
−0.0433427 + 0.999060i \(0.513801\pi\)
\(614\) −1.10817 2.63358i −0.0447222 0.106283i
\(615\) 0.0832649 + 0.0480730i 0.00335757 + 0.00193849i
\(616\) 5.08756 4.04132i 0.204984 0.162830i
\(617\) −12.4136 + 4.51818i −0.499752 + 0.181895i −0.579583 0.814914i \(-0.696784\pi\)
0.0798303 + 0.996808i \(0.474562\pi\)
\(618\) 0.270865 0.357119i 0.0108958 0.0143654i
\(619\) −26.2189 + 15.1375i −1.05383 + 0.608427i −0.923718 0.383072i \(-0.874866\pi\)
−0.130109 + 0.991500i \(0.541533\pi\)
\(620\) −6.35037 8.85661i −0.255037 0.355690i
\(621\) 0.506946 + 0.0893883i 0.0203430 + 0.00358703i
\(622\) 37.2324 + 11.5106i 1.49288 + 0.461534i
\(623\) 30.8174 + 25.8589i 1.23467 + 1.03602i
\(624\) 0.237338 + 0.190262i 0.00950112 + 0.00761656i
\(625\) −15.7256 5.72365i −0.629024 0.228946i
\(626\) 19.3332 12.4693i 0.772709 0.498372i
\(627\) −0.0805960 0.139367i −0.00321869 0.00556577i
\(628\) −0.631986 + 1.39588i −0.0252190 + 0.0557017i
\(629\) 15.5398 42.6951i 0.619611 1.70237i
\(630\) −7.13882 + 6.61541i −0.284418 + 0.263564i
\(631\) 5.39835 6.43350i 0.214905 0.256114i −0.647813 0.761800i \(-0.724316\pi\)
0.862718 + 0.505686i \(0.168761\pi\)
\(632\) −32.0616 28.4036i −1.27534 1.12984i
\(633\) 0.117187 0.664601i 0.00465777 0.0264155i
\(634\) 4.47962 0.220709i 0.177908 0.00876548i
\(635\) −1.30602 2.26210i −0.0518279 0.0897686i
\(636\) −0.792348 0.0603931i −0.0314187 0.00239474i
\(637\) −1.17360 3.22443i −0.0464996 0.127757i
\(638\) −0.498577 0.256006i −0.0197388 0.0101354i
\(639\) 13.5033 23.3885i 0.534184 0.925234i
\(640\) 5.47509 + 6.58434i 0.216422 + 0.260269i
\(641\) 8.67553 + 10.3391i 0.342663 + 0.408370i 0.909662 0.415348i \(-0.136340\pi\)
−0.567000 + 0.823718i \(0.691896\pi\)
\(642\) 0.913443 + 0.115060i 0.0360507 + 0.00454106i
\(643\) −32.2342 + 5.68376i −1.27119 + 0.224146i −0.768237 0.640166i \(-0.778866\pi\)
−0.502957 + 0.864312i \(0.667754\pi\)
\(644\) −7.46434 + 7.63334i −0.294136 + 0.300796i
\(645\) 0.369271i 0.0145400i
\(646\) −30.3822 9.36912i −1.19537 0.368623i
\(647\) 27.0952i 1.06522i 0.846360 + 0.532611i \(0.178789\pi\)
−0.846360 + 0.532611i \(0.821211\pi\)
\(648\) −5.07952 + 24.8821i −0.199542 + 0.977462i
\(649\) 6.18372 1.09036i 0.242732 0.0428002i
\(650\) −1.22009 + 9.68610i −0.0478559 + 0.379920i
\(651\) −0.684546 0.815810i −0.0268295 0.0319741i
\(652\) 14.2479 20.8408i 0.557991 0.816187i
\(653\) 17.7481 30.7407i 0.694539 1.20298i −0.275797 0.961216i \(-0.588942\pi\)
0.970336 0.241760i \(-0.0777248\pi\)
\(654\) −0.377893 + 0.735953i −0.0147768 + 0.0287780i
\(655\) 3.86865 + 10.6290i 0.151161 + 0.415311i
\(656\) −5.00602 + 9.13711i −0.195452 + 0.356744i
\(657\) −14.6714 25.4117i −0.572387 0.991403i
\(658\) −2.23936 45.4512i −0.0872994 1.77187i
\(659\) −2.56553 + 14.5498i −0.0999388 + 0.566781i 0.893183 + 0.449694i \(0.148467\pi\)
−0.993122 + 0.117087i \(0.962644\pi\)
\(660\) 0.0538405 0.0150744i 0.00209574 0.000586770i
\(661\) −16.8005 + 20.0220i −0.653462 + 0.778766i −0.986432 0.164172i \(-0.947505\pi\)
0.332970 + 0.942938i \(0.391949\pi\)
\(662\) 1.63802 + 1.76762i 0.0636633 + 0.0687004i
\(663\) 0.134148 0.368568i 0.00520987 0.0143140i
\(664\) −34.4415 + 5.12395i −1.33659 + 0.198848i
\(665\) −10.0074 + 0.00713711i −0.388070 + 0.000276765i
\(666\) −20.2413 31.3836i −0.784336 1.21609i
\(667\) 0.865402 + 0.314981i 0.0335085 + 0.0121961i
\(668\) −25.7039 6.57989i −0.994515 0.254584i
\(669\) −0.349517 0.293280i −0.0135131 0.0113388i
\(670\) 2.97607 9.62640i 0.114975 0.371900i
\(671\) 2.76210 + 0.487033i 0.106630 + 0.0188017i
\(672\) 0.582384 + 0.600904i 0.0224660 + 0.0231804i
\(673\) −8.55734 + 4.94058i −0.329861 + 0.190446i −0.655780 0.754952i \(-0.727660\pi\)
0.325918 + 0.945398i \(0.394327\pi\)
\(674\) 13.4815 + 10.2254i 0.519289 + 0.393867i
\(675\) 1.21683 0.442891i 0.0468360 0.0170469i
\(676\) −21.0347 + 2.07779i −0.809029 + 0.0799151i
\(677\) −10.8961 6.29088i −0.418772 0.241778i 0.275780 0.961221i \(-0.411064\pi\)
−0.694552 + 0.719443i \(0.744397\pi\)
\(678\) −0.0491437 + 0.0206790i −0.00188735 + 0.000794172i
\(679\) −11.8764 + 9.96552i −0.455776 + 0.382442i
\(680\) 5.77550 9.41074i 0.221480 0.360885i
\(681\) −0.237283 1.34570i −0.00909270 0.0515673i
\(682\) −1.71095 7.51823i −0.0655157 0.287888i
\(683\) −40.5886 −1.55308 −0.776540 0.630068i \(-0.783027\pi\)
−0.776540 + 0.630068i \(0.783027\pi\)
\(684\) −21.2266 + 15.2429i −0.811621 + 0.582826i
\(685\) −3.99595 −0.152678
\(686\) 4.56846 + 20.0746i 0.174424 + 0.766453i
\(687\) −0.179637 1.01877i −0.00685358 0.0388686i
\(688\) −40.0049 + 0.895715i −1.52517 + 0.0341488i
\(689\) −9.73159 + 8.16577i −0.370744 + 0.311091i
\(690\) −0.0846805 + 0.0356323i −0.00322373 + 0.00135650i
\(691\) −20.0557 11.5792i −0.762956 0.440493i 0.0674004 0.997726i \(-0.478530\pi\)
−0.830356 + 0.557233i \(0.811863\pi\)
\(692\) −2.23844 22.6611i −0.0850928 0.861446i
\(693\) −6.47074 + 2.35516i −0.245803 + 0.0894650i
\(694\) −6.12251 4.64376i −0.232407 0.176275i
\(695\) 1.35235 0.780778i 0.0512975 0.0296166i
\(696\) 0.0264999 0.0671433i 0.00100448 0.00254506i
\(697\) 13.2298 + 2.33277i 0.501115 + 0.0883600i
\(698\) 2.99303 9.68127i 0.113288 0.366441i
\(699\) −0.383096 0.321456i −0.0144900 0.0121586i
\(700\) −6.66030 + 26.0181i −0.251736 + 0.983390i
\(701\) 30.4371 + 11.0782i 1.14959 + 0.418418i 0.845369 0.534183i \(-0.179381\pi\)
0.304224 + 0.952601i \(0.401603\pi\)
\(702\) −0.349608 0.542055i −0.0131951 0.0204586i
\(703\) 6.64089 37.8200i 0.250466 1.42641i
\(704\) 1.76368 + 5.79624i 0.0664712 + 0.218454i
\(705\) 0.133932 0.367974i 0.00504416 0.0138587i
\(706\) 23.9017 + 25.7928i 0.899552 + 0.970725i
\(707\) 15.5018 18.4744i 0.583006 0.694800i
\(708\) 0.218039 + 0.778758i 0.00819440 + 0.0292675i
\(709\) 7.62702 43.2550i 0.286439 1.62448i −0.413661 0.910431i \(-0.635750\pi\)
0.700100 0.714045i \(-0.253139\pi\)
\(710\) 0.474568 + 9.63206i 0.0178102 + 0.361485i
\(711\) 22.6979 + 39.3139i 0.851238 + 1.47439i
\(712\) −32.9788 + 17.8777i −1.23593 + 0.669996i
\(713\) 4.33329 + 11.9056i 0.162283 + 0.445869i
\(714\) 0.492863 0.959859i 0.0184449 0.0359218i
\(715\) 0.446912 0.774075i 0.0167136 0.0289488i
\(716\) 11.7432 + 8.02833i 0.438866 + 0.300033i
\(717\) 0.130062 + 0.155001i 0.00485724 + 0.00578863i
\(718\) 1.47088 11.6771i 0.0548928 0.435785i
\(719\) 12.5454 2.21209i 0.467864 0.0824971i 0.0652543 0.997869i \(-0.479214\pi\)
0.402610 + 0.915372i \(0.368103\pi\)
\(720\) −3.29414 8.45661i −0.122766 0.315159i
\(721\) 19.7123i 0.734126i
\(722\) −26.6642 3.32007i −0.992337 0.123560i
\(723\) 0.361252i 0.0134351i
\(724\) −14.3801 14.0618i −0.534434 0.522602i
\(725\) 2.28149 0.402289i 0.0847325 0.0149406i
\(726\) −0.713477 0.0898717i −0.0264796 0.00333545i
\(727\) 14.5133 + 17.2962i 0.538267 + 0.641481i 0.964798 0.262991i \(-0.0847091\pi\)
−0.426531 + 0.904473i \(0.640265\pi\)
\(728\) 13.3730 + 0.359063i 0.495635 + 0.0133078i
\(729\) 13.4358 23.2715i 0.497623 0.861909i
\(730\) 9.32100 + 4.78610i 0.344986 + 0.177141i
\(731\) 17.6468 + 48.4843i 0.652692 + 1.79326i
\(732\) −0.0274532 + 0.360182i −0.00101470 + 0.0133127i
\(733\) 13.0679 + 22.6343i 0.482675 + 0.836017i 0.999802 0.0198913i \(-0.00633202\pi\)
−0.517127 + 0.855908i \(0.672999\pi\)
\(734\) 8.30963 0.409412i 0.306714 0.0151117i
\(735\) 0.0141055 0.0799963i 0.000520289 0.00295071i
\(736\) −4.06563 9.08742i −0.149861 0.334967i
\(737\) 4.58232 5.46100i 0.168792 0.201159i
\(738\) 8.09900 7.50519i 0.298128 0.276270i
\(739\) 13.7325 37.7299i 0.505160 1.38792i −0.381017 0.924568i \(-0.624426\pi\)
0.886177 0.463347i \(-0.153352\pi\)
\(740\) 12.1483 + 5.50015i 0.446580 + 0.202189i
\(741\) 0.0573278 0.326483i 0.00210599 0.0119937i
\(742\) −29.3691 + 18.9421i −1.07818 + 0.695387i
\(743\) −19.0012 6.91587i −0.697086 0.253719i −0.0309197 0.999522i \(-0.509844\pi\)
−0.666166 + 0.745803i \(0.732066\pi\)
\(744\) 0.941944 0.314475i 0.0345334 0.0115292i
\(745\) 8.75383 + 7.34534i 0.320716 + 0.269112i
\(746\) −28.5137 8.81520i −1.04396 0.322747i
\(747\) 36.3428 + 6.40822i 1.32972 + 0.234465i
\(748\) 6.34873 4.55218i 0.232133 0.166444i
\(749\) 35.0652 20.2449i 1.28126 0.739733i
\(750\) −0.297398 + 0.392100i −0.0108594 + 0.0143175i
\(751\) −30.8187 + 11.2171i −1.12459 + 0.409318i −0.836326 0.548233i \(-0.815301\pi\)
−0.288265 + 0.957551i \(0.593078\pi\)
\(752\) 40.1893 + 13.6169i 1.46555 + 0.496558i
\(753\) −0.332988 0.192251i −0.0121348 0.00700602i
\(754\) −0.447565 1.06364i −0.0162993 0.0387355i
\(755\) 3.65281 3.06507i 0.132939 0.111549i
\(756\) −0.767867 1.59970i −0.0279271 0.0581805i
\(757\) −0.0728195 0.412980i −0.00264667 0.0150100i 0.983456 0.181148i \(-0.0579814\pi\)
−0.986102 + 0.166138i \(0.946870\pi\)
\(758\) 16.5707 3.77105i 0.601874 0.136971i
\(759\) −0.0650003 −0.00235936
\(760\) 3.41963 8.68250i 0.124043 0.314947i
\(761\) −5.25859 −0.190624 −0.0953119 0.995447i \(-0.530385\pi\)
−0.0953119 + 0.995447i \(0.530385\pi\)
\(762\) 0.232082 0.0528157i 0.00840744 0.00191331i
\(763\) 6.31801 + 35.8312i 0.228727 + 1.29718i
\(764\) 7.48567 + 15.5949i 0.270822 + 0.564204i
\(765\) −8.96438 + 7.52201i −0.324108 + 0.271959i
\(766\) 9.70553 + 23.0653i 0.350675 + 0.833381i
\(767\) 11.1964 + 6.46422i 0.404277 + 0.233410i
\(768\) −0.720570 + 0.299432i −0.0260013 + 0.0108048i
\(769\) 0.0384186 0.0139832i 0.00138541 0.000504249i −0.341327 0.939944i \(-0.610876\pi\)
0.342713 + 0.939440i \(0.388654\pi\)
\(770\) 1.48595 1.95913i 0.0535499 0.0706022i
\(771\) −0.355027 + 0.204975i −0.0127860 + 0.00738200i
\(772\) 23.5110