Properties

Label 731.2.k.a.35.16
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.16
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.00525619 - 0.0230289i) q^{2} +(-0.382698 - 1.67671i) q^{3} +(1.80144 + 0.867525i) q^{4} +(2.01270 - 2.52384i) q^{5} -0.0406243 q^{6} +0.0151017 q^{7} +(0.0589018 - 0.0738605i) q^{8} +(0.0380061 - 0.0183028i) q^{9} +O(q^{10})\) \(q+(0.00525619 - 0.0230289i) q^{2} +(-0.382698 - 1.67671i) q^{3} +(1.80144 + 0.867525i) q^{4} +(2.01270 - 2.52384i) q^{5} -0.0406243 q^{6} +0.0151017 q^{7} +(0.0589018 - 0.0738605i) q^{8} +(0.0380061 - 0.0183028i) q^{9} +(-0.0475421 - 0.0596159i) q^{10} +(-0.884379 + 0.425894i) q^{11} +(0.765183 - 3.35249i) q^{12} +(1.86584 - 2.33969i) q^{13} +(7.93771e-5 - 0.000347774i) q^{14} +(-5.00201 - 2.40884i) q^{15} +(2.49187 + 3.12471i) q^{16} +(0.623490 + 0.781831i) q^{17} +(-0.000221725 - 0.000971440i) q^{18} +(1.28611 + 0.619358i) q^{19} +(5.81524 - 2.80047i) q^{20} +(-0.00577938 - 0.0253211i) q^{21} +(0.00515940 + 0.0226048i) q^{22} +(-4.57461 + 2.20302i) q^{23} +(-0.146384 - 0.0704950i) q^{24} +(-1.20623 - 5.28483i) q^{25} +(-0.0440732 - 0.0552660i) q^{26} +(-3.26212 - 4.09057i) q^{27} +(0.0272047 + 0.0131011i) q^{28} +(-0.451395 + 1.97769i) q^{29} +(-0.0817644 + 0.102529i) q^{30} +(-0.917323 + 4.01905i) q^{31} +(0.255287 - 0.122940i) q^{32} +(1.05255 + 1.31986i) q^{33} +(0.0212819 - 0.0102488i) q^{34} +(0.0303951 - 0.0381142i) q^{35} +0.0843437 q^{36} +4.44840 q^{37} +(0.0210231 - 0.0263622i) q^{38} +(-4.63704 - 2.23308i) q^{39} +(-0.0678609 - 0.297318i) q^{40} +(-0.570164 + 2.49805i) q^{41} -0.000613494 q^{42} +(1.52374 + 6.37795i) q^{43} -1.96263 q^{44} +(0.0303015 - 0.132760i) q^{45} +(0.0266879 + 0.116927i) q^{46} +(-6.19563 - 2.98366i) q^{47} +(4.28560 - 5.37397i) q^{48} -6.99977 q^{49} -0.128044 q^{50} +(1.07230 - 1.34462i) q^{51} +(5.39093 - 2.59613i) q^{52} +(-1.04976 - 1.31636i) q^{53} +(-0.111348 + 0.0536221i) q^{54} +(-0.705097 + 3.08923i) q^{55} +(0.000889515 - 0.00111542i) q^{56} +(0.546292 - 2.39346i) q^{57} +(0.0431713 + 0.0207902i) q^{58} +(-3.16167 - 3.96460i) q^{59} +(-6.92107 - 8.67875i) q^{60} +(-1.81866 - 7.96808i) q^{61} +(0.0877326 + 0.0422498i) q^{62} +(0.000573956 - 0.000276402i) q^{63} +(1.77719 + 7.78637i) q^{64} +(-2.14964 - 9.41818i) q^{65} +(0.0359272 - 0.0173016i) q^{66} +(6.58115 + 3.16932i) q^{67} +(0.444918 + 1.94931i) q^{68} +(5.44452 + 6.82721i) q^{69} +(-0.000717965 - 0.000900300i) q^{70} +(-9.06159 - 4.36383i) q^{71} +(0.000886776 - 0.00388522i) q^{72} +(9.88649 - 12.3973i) q^{73} +(0.0233816 - 0.102441i) q^{74} +(-8.39952 + 4.04499i) q^{75} +(1.77953 + 2.23147i) q^{76} +(-0.0133556 + 0.00643171i) q^{77} +(-0.0757984 + 0.0950481i) q^{78} +4.83980 q^{79} +12.9017 q^{80} +(-5.53140 + 6.93615i) q^{81} +(0.0545303 + 0.0262604i) q^{82} +(-0.123867 - 0.542697i) q^{83} +(0.0115555 - 0.0506281i) q^{84} +3.22812 q^{85} +(0.154886 - 0.00156624i) q^{86} +3.48876 q^{87} +(-0.0206347 + 0.0904066i) q^{88} +(2.55660 + 11.2012i) q^{89} +(-0.00289803 - 0.00139562i) q^{90} +(0.0281773 - 0.0353332i) q^{91} -10.1520 q^{92} +7.08985 q^{93} +(-0.101276 + 0.126996i) q^{94} +(4.15171 - 1.99936i) q^{95} +(-0.303833 - 0.380994i) q^{96} +(4.68364 - 2.25552i) q^{97} +(-0.0367921 + 0.161197i) q^{98} +(-0.0258168 + 0.0323732i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.00525619 0.0230289i 0.00371668 0.0162839i −0.973036 0.230655i \(-0.925913\pi\)
0.976752 + 0.214371i \(0.0687702\pi\)
\(3\) −0.382698 1.67671i −0.220951 0.968049i −0.956764 0.290865i \(-0.906057\pi\)
0.735813 0.677185i \(-0.236800\pi\)
\(4\) 1.80144 + 0.867525i 0.900718 + 0.433763i
\(5\) 2.01270 2.52384i 0.900106 1.12870i −0.0910302 0.995848i \(-0.529016\pi\)
0.991136 0.132849i \(-0.0424126\pi\)
\(6\) −0.0406243 −0.0165848
\(7\) 0.0151017 0.00570789 0.00285395 0.999996i \(-0.499092\pi\)
0.00285395 + 0.999996i \(0.499092\pi\)
\(8\) 0.0589018 0.0738605i 0.0208249 0.0261136i
\(9\) 0.0380061 0.0183028i 0.0126687 0.00610093i
\(10\) −0.0475421 0.0596159i −0.0150341 0.0188522i
\(11\) −0.884379 + 0.425894i −0.266650 + 0.128412i −0.562432 0.826844i \(-0.690134\pi\)
0.295782 + 0.955256i \(0.404420\pi\)
\(12\) 0.765183 3.35249i 0.220889 0.967779i
\(13\) 1.86584 2.33969i 0.517491 0.648913i −0.452583 0.891722i \(-0.649497\pi\)
0.970074 + 0.242809i \(0.0780689\pi\)
\(14\) 7.93771e−5 0 0.000347774i 2.12144e−5 0 9.29465e-5i
\(15\) −5.00201 2.40884i −1.29151 0.621960i
\(16\) 2.49187 + 3.12471i 0.622968 + 0.781177i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) −0.000221725 0 0.000971440i −5.22611e−5 0 0.000228971i
\(19\) 1.28611 + 0.619358i 0.295054 + 0.142090i 0.575555 0.817763i \(-0.304786\pi\)
−0.280501 + 0.959854i \(0.590501\pi\)
\(20\) 5.81524 2.80047i 1.30033 0.626205i
\(21\) −0.00577938 0.0253211i −0.00126116 0.00552552i
\(22\) 0.00515940 + 0.0226048i 0.00109999 + 0.00481936i
\(23\) −4.57461 + 2.20302i −0.953872 + 0.459361i −0.845042 0.534700i \(-0.820425\pi\)
−0.108830 + 0.994060i \(0.534710\pi\)
\(24\) −0.146384 0.0704950i −0.0298806 0.0143897i
\(25\) −1.20623 5.28483i −0.241246 1.05697i
\(26\) −0.0440732 0.0552660i −0.00864346 0.0108386i
\(27\) −3.26212 4.09057i −0.627796 0.787231i
\(28\) 0.0272047 + 0.0131011i 0.00514120 + 0.00247587i
\(29\) −0.451395 + 1.97769i −0.0838219 + 0.367248i −0.999390 0.0349145i \(-0.988884\pi\)
0.915568 + 0.402162i \(0.131741\pi\)
\(30\) −0.0817644 + 0.102529i −0.0149281 + 0.0187192i
\(31\) −0.917323 + 4.01905i −0.164756 + 0.721844i 0.823282 + 0.567633i \(0.192141\pi\)
−0.988038 + 0.154211i \(0.950717\pi\)
\(32\) 0.255287 0.122940i 0.0451288 0.0217329i
\(33\) 1.05255 + 1.31986i 0.183226 + 0.229758i
\(34\) 0.0212819 0.0102488i 0.00364981 0.00175766i
\(35\) 0.0303951 0.0381142i 0.00513771 0.00644248i
\(36\) 0.0843437 0.0140573
\(37\) 4.44840 0.731312 0.365656 0.930750i \(-0.380845\pi\)
0.365656 + 0.930750i \(0.380845\pi\)
\(38\) 0.0210231 0.0263622i 0.00341040 0.00427651i
\(39\) −4.63704 2.23308i −0.742520 0.357579i
\(40\) −0.0678609 0.297318i −0.0107297 0.0470101i
\(41\) −0.570164 + 2.49805i −0.0890446 + 0.390130i −0.999736 0.0229565i \(-0.992692\pi\)
0.910692 + 0.413086i \(0.135549\pi\)
\(42\) −0.000613494 0 −9.46641e−5 0
\(43\) 1.52374 + 6.37795i 0.232368 + 0.972628i
\(44\) −1.96263 −0.295877
\(45\) 0.0303015 0.132760i 0.00451708 0.0197906i
\(46\) 0.0266879 + 0.116927i 0.00393492 + 0.0172400i
\(47\) −6.19563 2.98366i −0.903726 0.435211i −0.0764924 0.997070i \(-0.524372\pi\)
−0.827233 + 0.561859i \(0.810086\pi\)
\(48\) 4.28560 5.37397i 0.618573 0.775666i
\(49\) −6.99977 −0.999967
\(50\) −0.128044 −0.0181081
\(51\) 1.07230 1.34462i 0.150152 0.188284i
\(52\) 5.39093 2.59613i 0.747587 0.360019i
\(53\) −1.04976 1.31636i −0.144196 0.180816i 0.704489 0.709715i \(-0.251176\pi\)
−0.848685 + 0.528899i \(0.822605\pi\)
\(54\) −0.111348 + 0.0536221i −0.0151525 + 0.00729705i
\(55\) −0.705097 + 3.08923i −0.0950752 + 0.416552i
\(56\) 0.000889515 0.00111542i 0.000118866 0.000149054i
\(57\) 0.546292 2.39346i 0.0723581 0.317022i
\(58\) 0.0431713 + 0.0207902i 0.00566867 + 0.00272989i
\(59\) −3.16167 3.96460i −0.411614 0.516147i 0.532203 0.846617i \(-0.321364\pi\)
−0.943817 + 0.330469i \(0.892793\pi\)
\(60\) −6.92107 8.67875i −0.893506 1.12042i
\(61\) −1.81866 7.96808i −0.232856 1.02021i −0.947258 0.320473i \(-0.896158\pi\)
0.714402 0.699736i \(-0.246699\pi\)
\(62\) 0.0877326 + 0.0422498i 0.0111421 + 0.00536573i
\(63\) 0.000573956 0 0.000276402i 7.23116e−5 0 3.48234e-5i
\(64\) 1.77719 + 7.78637i 0.222149 + 0.973296i
\(65\) −2.14964 9.41818i −0.266630 1.16818i
\(66\) 0.0359272 0.0173016i 0.00442234 0.00212969i
\(67\) 6.58115 + 3.16932i 0.804016 + 0.387194i 0.790306 0.612712i \(-0.209922\pi\)
0.0137099 + 0.999906i \(0.495636\pi\)
\(68\) 0.444918 + 1.94931i 0.0539542 + 0.236389i
\(69\) 5.44452 + 6.82721i 0.655443 + 0.821899i
\(70\) −0.000717965 0 0.000900300i −8.58132e−5 0 0.000107606i
\(71\) −9.06159 4.36383i −1.07541 0.517891i −0.189565 0.981868i \(-0.560708\pi\)
−0.885847 + 0.463977i \(0.846422\pi\)
\(72\) 0.000886776 0.00388522i 0.000104508 0.000457877i
\(73\) 9.88649 12.3973i 1.15713 1.45099i 0.287158 0.957883i \(-0.407290\pi\)
0.869969 0.493107i \(-0.164139\pi\)
\(74\) 0.0233816 0.102441i 0.00271806 0.0119086i
\(75\) −8.39952 + 4.04499i −0.969893 + 0.467076i
\(76\) 1.77953 + 2.23147i 0.204127 + 0.255967i
\(77\) −0.0133556 + 0.00643171i −0.00152201 + 0.000732962i
\(78\) −0.0757984 + 0.0950481i −0.00858247 + 0.0107621i
\(79\) 4.83980 0.544520 0.272260 0.962224i \(-0.412229\pi\)
0.272260 + 0.962224i \(0.412229\pi\)
\(80\) 12.9017 1.44245
\(81\) −5.53140 + 6.93615i −0.614600 + 0.770683i
\(82\) 0.0545303 + 0.0262604i 0.00602187 + 0.00289998i
\(83\) −0.123867 0.542697i −0.0135962 0.0595688i 0.967675 0.252201i \(-0.0811546\pi\)
−0.981271 + 0.192633i \(0.938297\pi\)
\(84\) 0.0115555 0.0506281i 0.00126081 0.00552398i
\(85\) 3.22812 0.350139
\(86\) 0.154886 0.00156624i 0.0167018 0.000168892i
\(87\) 3.48876 0.374035
\(88\) −0.0206347 + 0.0904066i −0.00219967 + 0.00963738i
\(89\) 2.55660 + 11.2012i 0.270999 + 1.18732i 0.908836 + 0.417153i \(0.136972\pi\)
−0.637837 + 0.770171i \(0.720171\pi\)
\(90\) −0.00289803 0.00139562i −0.000305479 0.000147111i
\(91\) 0.0281773 0.0353332i 0.00295378 0.00370393i
\(92\) −10.1520 −1.05842
\(93\) 7.08985 0.735183
\(94\) −0.101276 + 0.126996i −0.0104458 + 0.0130986i
\(95\) 4.15171 1.99936i 0.425957 0.205130i
\(96\) −0.303833 0.380994i −0.0310098 0.0388850i
\(97\) 4.68364 2.25552i 0.475552 0.229014i −0.180725 0.983534i \(-0.557845\pi\)
0.656277 + 0.754520i \(0.272130\pi\)
\(98\) −0.0367921 + 0.161197i −0.00371656 + 0.0162833i
\(99\) −0.0258168 + 0.0323732i −0.00259468 + 0.00325363i
\(100\) 2.41178 10.5667i 0.241178 1.05667i
\(101\) 10.9758 + 5.28565i 1.09213 + 0.525942i 0.891175 0.453659i \(-0.149882\pi\)
0.200954 + 0.979601i \(0.435596\pi\)
\(102\) −0.0253288 0.0317613i −0.00250793 0.00314484i
\(103\) 0.514334 + 0.644955i 0.0506789 + 0.0635493i 0.806525 0.591200i \(-0.201346\pi\)
−0.755846 + 0.654749i \(0.772774\pi\)
\(104\) −0.0629093 0.275624i −0.00616877 0.0270271i
\(105\) −0.0755387 0.0363775i −0.00737182 0.00355008i
\(106\) −0.0358320 + 0.0172558i −0.00348031 + 0.00167603i
\(107\) −0.955869 4.18794i −0.0924074 0.404863i 0.907477 0.420103i \(-0.138006\pi\)
−0.999884 + 0.0152397i \(0.995149\pi\)
\(108\) −2.32783 10.1989i −0.223995 0.981387i
\(109\) −15.0544 + 7.24983i −1.44195 + 0.694407i −0.981177 0.193110i \(-0.938143\pi\)
−0.460775 + 0.887517i \(0.652428\pi\)
\(110\) 0.0674353 + 0.0324751i 0.00642971 + 0.00309638i
\(111\) −1.70239 7.45867i −0.161584 0.707946i
\(112\) 0.0376314 + 0.0471883i 0.00355583 + 0.00445887i
\(113\) −4.02050 5.04154i −0.378217 0.474269i 0.555894 0.831253i \(-0.312376\pi\)
−0.934110 + 0.356985i \(0.883805\pi\)
\(114\) −0.0522472 0.0251609i −0.00489340 0.00235654i
\(115\) −3.64724 + 15.9796i −0.340107 + 1.49011i
\(116\) −2.52886 + 3.17108i −0.234798 + 0.294428i
\(117\) 0.0280905 0.123073i 0.00259697 0.0113781i
\(118\) −0.107919 + 0.0519708i −0.00993471 + 0.00478430i
\(119\) 0.00941573 + 0.0118070i 0.000863139 + 0.00108234i
\(120\) −0.472546 + 0.227566i −0.0431373 + 0.0207738i
\(121\) −6.25765 + 7.84684i −0.568877 + 0.713349i
\(122\) −0.193055 −0.0174784
\(123\) 4.40671 0.397339
\(124\) −5.13913 + 6.44427i −0.461508 + 0.578712i
\(125\) −1.22370 0.589305i −0.109451 0.0527090i
\(126\) −3.34841e−6 0 1.46704e-5i −2.98300e−7 0 1.30694e-6i
\(127\) −2.91668 + 12.7788i −0.258813 + 1.13393i 0.663709 + 0.747991i \(0.268981\pi\)
−0.922522 + 0.385944i \(0.873876\pi\)
\(128\) 0.755348 0.0667639
\(129\) 10.1108 4.99570i 0.890210 0.439847i
\(130\) −0.228189 −0.0200135
\(131\) −1.08573 + 4.75689i −0.0948605 + 0.415611i −0.999954 0.00960171i \(-0.996944\pi\)
0.905093 + 0.425213i \(0.139801\pi\)
\(132\) 0.751093 + 3.29075i 0.0653743 + 0.286423i
\(133\) 0.0194224 + 0.00935333i 0.00168413 + 0.000811037i
\(134\) 0.107577 0.134898i 0.00929328 0.0116534i
\(135\) −16.8896 −1.45363
\(136\) 0.0944711 0.00810083
\(137\) −6.70095 + 8.40272i −0.572501 + 0.717893i −0.980813 0.194949i \(-0.937546\pi\)
0.408313 + 0.912842i \(0.366117\pi\)
\(138\) 0.185840 0.0894959i 0.0158198 0.00761839i
\(139\) 7.43543 + 9.32373i 0.630665 + 0.790829i 0.989801 0.142456i \(-0.0455001\pi\)
−0.359136 + 0.933285i \(0.616929\pi\)
\(140\) 0.0878198 0.0422918i 0.00742213 0.00357431i
\(141\) −2.63167 + 11.5301i −0.221627 + 0.971011i
\(142\) −0.148123 + 0.185741i −0.0124302 + 0.0155870i
\(143\) −0.653649 + 2.86382i −0.0546609 + 0.239485i
\(144\) 0.151897 + 0.0731499i 0.0126581 + 0.00609582i
\(145\) 4.08286 + 5.11974i 0.339063 + 0.425172i
\(146\) −0.233530 0.292837i −0.0193271 0.0242354i
\(147\) 2.67880 + 11.7366i 0.220944 + 0.968018i
\(148\) 8.01350 + 3.85910i 0.658705 + 0.317216i
\(149\) −8.17828 + 3.93845i −0.669991 + 0.322651i −0.737772 0.675049i \(-0.764122\pi\)
0.0677813 + 0.997700i \(0.478408\pi\)
\(150\) 0.0490021 + 0.214692i 0.00400101 + 0.0175296i
\(151\) 0.429197 + 1.88044i 0.0349276 + 0.153028i 0.989385 0.145321i \(-0.0464214\pi\)
−0.954457 + 0.298348i \(0.903564\pi\)
\(152\) 0.121500 0.0585114i 0.00985497 0.00474590i
\(153\) 0.0380061 + 0.0183028i 0.00307261 + 0.00147969i
\(154\) 7.79155e−5 0 0.000341370i 6.27861e−6 0 2.75084e-5i
\(155\) 8.29717 + 10.4043i 0.666445 + 0.835696i
\(156\) −6.41607 8.04549i −0.513696 0.644155i
\(157\) 6.54640 + 3.15258i 0.522459 + 0.251603i 0.676475 0.736465i \(-0.263506\pi\)
−0.154016 + 0.988068i \(0.549221\pi\)
\(158\) 0.0254389 0.111455i 0.00202381 0.00886689i
\(159\) −1.80541 + 2.26392i −0.143179 + 0.179540i
\(160\) 0.203535 0.891746i 0.0160909 0.0704987i
\(161\) −0.0690842 + 0.0332692i −0.00544460 + 0.00262198i
\(162\) 0.130658 + 0.163839i 0.0102654 + 0.0128724i
\(163\) 4.19659 2.02097i 0.328703 0.158295i −0.262252 0.964999i \(-0.584465\pi\)
0.590955 + 0.806704i \(0.298751\pi\)
\(164\) −3.19423 + 4.00544i −0.249428 + 0.312773i
\(165\) 5.44959 0.424250
\(166\) −0.0131488 −0.00102054
\(167\) −1.33848 + 1.67839i −0.103574 + 0.129878i −0.830917 0.556396i \(-0.812184\pi\)
0.727343 + 0.686274i \(0.240755\pi\)
\(168\) −0.00221065 0.00106459i −0.000170555 8.21350e-5i
\(169\) 0.899985 + 3.94309i 0.0692296 + 0.303315i
\(170\) 0.0169676 0.0743398i 0.00130135 0.00570161i
\(171\) 0.0602160 0.00460483
\(172\) −2.78812 + 12.8113i −0.212592 + 0.976856i
\(173\) 2.23233 0.169721 0.0848606 0.996393i \(-0.472955\pi\)
0.0848606 + 0.996393i \(0.472955\pi\)
\(174\) 0.0183376 0.0803422i 0.00139017 0.00609073i
\(175\) −0.0182161 0.0798098i −0.00137700 0.00603305i
\(176\) −3.53456 1.70215i −0.266427 0.128305i
\(177\) −5.43753 + 6.81845i −0.408710 + 0.512506i
\(178\) 0.271389 0.0203414
\(179\) 9.25770 0.691953 0.345976 0.938243i \(-0.387548\pi\)
0.345976 + 0.938243i \(0.387548\pi\)
\(180\) 0.169758 0.212870i 0.0126530 0.0158664i
\(181\) 7.87846 3.79407i 0.585602 0.282011i −0.117532 0.993069i \(-0.537498\pi\)
0.703133 + 0.711058i \(0.251784\pi\)
\(182\) −0.000665578 0 0.000834608i −4.93359e−5 0 6.18653e-5i
\(183\) −12.6642 + 6.09874i −0.936163 + 0.450832i
\(184\) −0.106737 + 0.467645i −0.00786874 + 0.0344752i
\(185\) 8.95328 11.2271i 0.658258 0.825430i
\(186\) 0.0372656 0.163271i 0.00273244 0.0119716i
\(187\) −0.884379 0.425894i −0.0646722 0.0311445i
\(188\) −8.57263 10.7497i −0.625223 0.784005i
\(189\) −0.0492635 0.0617745i −0.00358339 0.00449343i
\(190\) −0.0242208 0.106118i −0.00175716 0.00769862i
\(191\) 12.0834 + 5.81904i 0.874322 + 0.421051i 0.816547 0.577279i \(-0.195885\pi\)
0.0577744 + 0.998330i \(0.481600\pi\)
\(192\) 12.3754 5.95966i 0.893115 0.430102i
\(193\) −2.84364 12.4588i −0.204690 0.896804i −0.968035 0.250814i \(-0.919302\pi\)
0.763346 0.645990i \(-0.223555\pi\)
\(194\) −0.0273240 0.119714i −0.00196175 0.00859499i
\(195\) −14.9689 + 7.20864i −1.07195 + 0.516222i
\(196\) −12.6096 6.07248i −0.900688 0.433749i
\(197\) −0.886682 3.88481i −0.0631735 0.276781i 0.933469 0.358658i \(-0.116766\pi\)
−0.996642 + 0.0818771i \(0.973909\pi\)
\(198\) 0.000609820 0 0.000764690i 4.33380e−5 0 5.43441e-5i
\(199\) 6.14050 + 7.69994i 0.435288 + 0.545834i 0.950295 0.311352i \(-0.100782\pi\)
−0.515006 + 0.857186i \(0.672210\pi\)
\(200\) −0.461390 0.222194i −0.0326252 0.0157115i
\(201\) 2.79543 12.2476i 0.197174 0.863878i
\(202\) 0.179413 0.224977i 0.0126235 0.0158293i
\(203\) −0.00681681 + 0.0298664i −0.000478447 + 0.00209621i
\(204\) 3.09816 1.49200i 0.216915 0.104461i
\(205\) 5.15712 + 6.46682i 0.360189 + 0.451663i
\(206\) 0.0175560 0.00845453i 0.00122318 0.000589055i
\(207\) −0.133542 + 0.167456i −0.00928180 + 0.0116390i
\(208\) 11.9603 0.829296
\(209\) −1.40119 −0.0969223
\(210\) −0.00123478 + 0.00154836i −8.52078e−5 + 0.000106847i
\(211\) 9.58346 + 4.61515i 0.659753 + 0.317720i 0.733632 0.679547i \(-0.237824\pi\)
−0.0738792 + 0.997267i \(0.523538\pi\)
\(212\) −0.749102 3.28203i −0.0514486 0.225411i
\(213\) −3.84903 + 16.8637i −0.263731 + 1.15548i
\(214\) −0.101468 −0.00693618
\(215\) 19.1638 + 8.99121i 1.30696 + 0.613196i
\(216\) −0.494277 −0.0336313
\(217\) −0.0138531 + 0.0606944i −0.000940410 + 0.00412020i
\(218\) 0.0878263 + 0.384792i 0.00594835 + 0.0260614i
\(219\) −24.5702 11.8324i −1.66030 0.799558i
\(220\) −3.95017 + 4.95336i −0.266321 + 0.333955i
\(221\) 2.99258 0.201302
\(222\) −0.180713 −0.0121286
\(223\) −18.3114 + 22.9618i −1.22622 + 1.53764i −0.471057 + 0.882103i \(0.656127\pi\)
−0.755166 + 0.655533i \(0.772444\pi\)
\(224\) 0.00385526 0.00185660i 0.000257591 0.000124049i
\(225\) −0.142571 0.178779i −0.00950475 0.0119186i
\(226\) −0.137233 + 0.0660881i −0.00912863 + 0.00439612i
\(227\) 2.23524 9.79321i 0.148358 0.649998i −0.844984 0.534792i \(-0.820390\pi\)
0.993342 0.115206i \(-0.0367529\pi\)
\(228\) 3.06050 3.83774i 0.202686 0.254161i
\(229\) −3.38255 + 14.8199i −0.223525 + 0.979327i 0.731276 + 0.682082i \(0.238925\pi\)
−0.954801 + 0.297246i \(0.903932\pi\)
\(230\) 0.348821 + 0.167984i 0.0230006 + 0.0110765i
\(231\) 0.0158953 + 0.0199321i 0.00104583 + 0.00131143i
\(232\) 0.119485 + 0.149830i 0.00784459 + 0.00983681i
\(233\) −5.34687 23.4262i −0.350285 1.53470i −0.776523 0.630089i \(-0.783018\pi\)
0.426237 0.904611i \(-0.359839\pi\)
\(234\) −0.00268657 0.00129378i −0.000175627 8.45774e-5i
\(235\) −20.0002 + 9.63160i −1.30467 + 0.628296i
\(236\) −2.25614 9.88480i −0.146862 0.643446i
\(237\) −1.85218 8.11494i −0.120312 0.527122i
\(238\) 0.000321391 0 0.000154774i 2.08327e−5 0 1.00325e-5i
\(239\) −8.82639 4.25057i −0.570932 0.274946i 0.126063 0.992022i \(-0.459766\pi\)
−0.696995 + 0.717076i \(0.745480\pi\)
\(240\) −4.93744 21.6324i −0.318711 1.39636i
\(241\) −0.835797 1.04806i −0.0538384 0.0675112i 0.754183 0.656664i \(-0.228033\pi\)
−0.808022 + 0.589153i \(0.799462\pi\)
\(242\) 0.147812 + 0.185351i 0.00950174 + 0.0119148i
\(243\) −0.394942 0.190194i −0.0253355 0.0122009i
\(244\) 3.63631 15.9317i 0.232791 1.01992i
\(245\) −14.0884 + 17.6663i −0.900077 + 1.12866i
\(246\) 0.0231625 0.101481i 0.00147679 0.00647022i
\(247\) 3.84878 1.85347i 0.244892 0.117934i
\(248\) 0.242817 + 0.304484i 0.0154189 + 0.0193347i
\(249\) −0.862543 + 0.415379i −0.0546614 + 0.0263236i
\(250\) −0.0200030 + 0.0250830i −0.00126510 + 0.00158639i
\(251\) −22.5871 −1.42569 −0.712844 0.701323i \(-0.752593\pi\)
−0.712844 + 0.701323i \(0.752593\pi\)
\(252\) 0.00127373 8.02374e−5
\(253\) 3.10744 3.89660i 0.195363 0.244977i
\(254\) 0.278950 + 0.134335i 0.0175029 + 0.00842895i
\(255\) −1.23539 5.41262i −0.0773634 0.338951i
\(256\) −3.55041 + 15.5553i −0.221900 + 0.972209i
\(257\) 23.2162 1.44819 0.724093 0.689703i \(-0.242259\pi\)
0.724093 + 0.689703i \(0.242259\pi\)
\(258\) −0.0619007 0.259099i −0.00385377 0.0161308i
\(259\) 0.0671782 0.00417425
\(260\) 4.29808 18.8311i 0.266555 1.16786i
\(261\) 0.0190415 + 0.0834261i 0.00117864 + 0.00516395i
\(262\) 0.103839 + 0.0500062i 0.00641519 + 0.00308939i
\(263\) 5.69268 7.13839i 0.351025 0.440172i −0.574702 0.818363i \(-0.694882\pi\)
0.925728 + 0.378191i \(0.123454\pi\)
\(264\) 0.159483 0.00981548
\(265\) −5.43514 −0.333878
\(266\) 0.000317484 0 0.000398113i 1.94662e−5 0 2.44098e-5i
\(267\) 17.8028 8.57336i 1.08951 0.524681i
\(268\) 9.10606 + 11.4186i 0.556241 + 0.697504i
\(269\) 1.51246 0.728362i 0.0922163 0.0444090i −0.387207 0.921993i \(-0.626560\pi\)
0.479423 + 0.877584i \(0.340846\pi\)
\(270\) −0.0887751 + 0.388949i −0.00540268 + 0.0236707i
\(271\) 13.2248 16.5834i 0.803352 1.00737i −0.196288 0.980546i \(-0.562889\pi\)
0.999640 0.0268257i \(-0.00853989\pi\)
\(272\) −0.889339 + 3.89645i −0.0539241 + 0.236257i
\(273\) −0.0700269 0.0337232i −0.00423822 0.00204102i
\(274\) 0.158284 + 0.198481i 0.00956227 + 0.0119907i
\(275\) 3.31754 + 4.16007i 0.200055 + 0.250862i
\(276\) 3.88517 + 17.0220i 0.233859 + 1.02461i
\(277\) 0.206597 + 0.0994917i 0.0124132 + 0.00597788i 0.440080 0.897959i \(-0.354950\pi\)
−0.427667 + 0.903936i \(0.640664\pi\)
\(278\) 0.253797 0.122222i 0.0152217 0.00733040i
\(279\) 0.0386960 + 0.169538i 0.00231667 + 0.0101500i
\(280\) −0.00102481 0.00448999i −6.12442e−5 0.000268328i
\(281\) 13.2576 6.38452i 0.790882 0.380869i 0.00558213 0.999984i \(-0.498223\pi\)
0.785300 + 0.619116i \(0.212509\pi\)
\(282\) 0.251693 + 0.121209i 0.0149881 + 0.00721788i
\(283\) −1.49377 6.54464i −0.0887955 0.389038i 0.910928 0.412566i \(-0.135367\pi\)
−0.999723 + 0.0235276i \(0.992510\pi\)
\(284\) −12.5381 15.7223i −0.744001 0.932948i
\(285\) −4.94120 6.19607i −0.292691 0.367024i
\(286\) 0.0625149 + 0.0301056i 0.00369658 + 0.00178018i
\(287\) −0.00861042 + 0.0377247i −0.000508257 + 0.00222682i
\(288\) 0.00745234 0.00934494i 0.000439133 0.000550656i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 0.139362 0.0671133i 0.00818363 0.00394103i
\(291\) −5.57428 6.98993i −0.326770 0.409757i
\(292\) 28.5648 13.7561i 1.67163 0.805014i
\(293\) 19.3598 24.2764i 1.13101 1.41824i 0.236252 0.971692i \(-0.424081\pi\)
0.894758 0.446551i \(-0.147348\pi\)
\(294\) 0.284361 0.0165842
\(295\) −16.3695 −0.953070
\(296\) 0.262019 0.328561i 0.0152295 0.0190972i
\(297\) 4.62711 + 2.22830i 0.268492 + 0.129299i
\(298\) 0.0477115 + 0.209038i 0.00276385 + 0.0121092i
\(299\) −3.38112 + 14.8136i −0.195535 + 0.856695i
\(300\) −18.6403 −1.07620
\(301\) 0.0230110 + 0.0963176i 0.00132633 + 0.00555166i
\(302\) 0.0455602 0.00262170
\(303\) 4.66210 20.4260i 0.267831 1.17344i
\(304\) 1.26951 + 5.56208i 0.0728113 + 0.319007i
\(305\) −23.7706 11.4473i −1.36110 0.655472i
\(306\) 0.000621259 0 0.000779035i 3.55150e−5 0 4.45344e-5i
\(307\) −18.0246 −1.02872 −0.514359 0.857575i \(-0.671970\pi\)
−0.514359 + 0.857575i \(0.671970\pi\)
\(308\) −0.0296389 −0.00168883
\(309\) 0.884568 1.10921i 0.0503213 0.0631009i
\(310\) 0.283211 0.136387i 0.0160853 0.00774628i
\(311\) −11.9397 14.9719i −0.677039 0.848980i 0.318039 0.948078i \(-0.396976\pi\)
−0.995078 + 0.0990977i \(0.968404\pi\)
\(312\) −0.438066 + 0.210962i −0.0248006 + 0.0119433i
\(313\) −4.79827 + 21.0226i −0.271214 + 1.18827i 0.637367 + 0.770560i \(0.280024\pi\)
−0.908581 + 0.417708i \(0.862834\pi\)
\(314\) 0.107009 0.134185i 0.00603889 0.00757252i
\(315\) 0.000457603 0.00200489i 2.57830e−5 0.000112963i
\(316\) 8.71858 + 4.19865i 0.490459 + 0.236192i
\(317\) −0.881256 1.10506i −0.0494963 0.0620664i 0.756467 0.654032i \(-0.226924\pi\)
−0.805963 + 0.591965i \(0.798352\pi\)
\(318\) 0.0426458 + 0.0534761i 0.00239146 + 0.00299879i
\(319\) −0.443083 1.94127i −0.0248079 0.108690i
\(320\) 23.2285 + 11.1863i 1.29851 + 0.625332i
\(321\) −6.65615 + 3.20543i −0.371510 + 0.178910i
\(322\) 0.000403032 0.00176580i 2.24601e−5 9.84041e-5i
\(323\) 0.317643 + 1.39168i 0.0176741 + 0.0774354i
\(324\) −15.9817 + 7.69640i −0.887874 + 0.427578i
\(325\) −14.6155 7.03845i −0.810722 0.390423i
\(326\) −0.0244826 0.107265i −0.00135597 0.00594088i
\(327\) 17.9172 + 22.4674i 0.990821 + 1.24245i
\(328\) 0.150924 + 0.189252i 0.00833336 + 0.0104497i
\(329\) −0.0935643 0.0450582i −0.00515837 0.00248414i
\(330\) 0.0286440 0.125498i 0.00157680 0.00690842i
\(331\) −4.66549 + 5.85034i −0.256439 + 0.321564i −0.893340 0.449382i \(-0.851644\pi\)
0.636901 + 0.770945i \(0.280216\pi\)
\(332\) 0.247665 1.08509i 0.0135924 0.0595521i
\(333\) 0.169066 0.0814181i 0.00926478 0.00446168i
\(334\) 0.0316162 + 0.0396455i 0.00172996 + 0.00216931i
\(335\) 21.2447 10.2309i 1.16072 0.558975i
\(336\) 0.0647196 0.0811559i 0.00353075 0.00442742i
\(337\) −34.3889 −1.87328 −0.936642 0.350287i \(-0.886084\pi\)
−0.936642 + 0.350287i \(0.886084\pi\)
\(338\) 0.0955353 0.00519644
\(339\) −6.91457 + 8.67060i −0.375548 + 0.470922i
\(340\) 5.81524 + 2.80047i 0.315376 + 0.151877i
\(341\) −0.900432 3.94505i −0.0487611 0.213636i
\(342\) 0.000316507 0.00138671i 1.71147e−5 7.49845e-5i
\(343\) −0.211420 −0.0114156
\(344\) 0.560829 + 0.263129i 0.0302379 + 0.0141869i
\(345\) 28.1890 1.51764
\(346\) 0.0117336 0.0514081i 0.000630800 0.00276372i
\(347\) 1.20741 + 5.29000i 0.0648170 + 0.283982i 0.996941 0.0781573i \(-0.0249036\pi\)
−0.932124 + 0.362139i \(0.882047\pi\)
\(348\) 6.28478 + 3.02659i 0.336900 + 0.162242i
\(349\) −1.93576 + 2.42736i −0.103619 + 0.129934i −0.830937 0.556367i \(-0.812195\pi\)
0.727318 + 0.686300i \(0.240766\pi\)
\(350\) −0.00193367 −0.000103359
\(351\) −15.6573 −0.835723
\(352\) −0.173411 + 0.217451i −0.00924285 + 0.0115902i
\(353\) 17.9532 8.64580i 0.955552 0.460170i 0.109923 0.993940i \(-0.464940\pi\)
0.845629 + 0.533771i \(0.179225\pi\)
\(354\) 0.128440 + 0.161059i 0.00682653 + 0.00856019i
\(355\) −29.2519 + 14.0870i −1.55253 + 0.747658i
\(356\) −5.11177 + 22.3961i −0.270924 + 1.18699i
\(357\) 0.0161935 0.0203060i 0.000857049 0.00107471i
\(358\) 0.0486602 0.213194i 0.00257177 0.0112677i
\(359\) 9.44267 + 4.54735i 0.498365 + 0.240000i 0.666142 0.745825i \(-0.267945\pi\)
−0.167777 + 0.985825i \(0.553659\pi\)
\(360\) −0.00802087 0.0100579i −0.000422737 0.000530096i
\(361\) −10.5758 13.2617i −0.556623 0.697983i
\(362\) −0.0459624 0.201374i −0.00241573 0.0105840i
\(363\) 15.5517 + 7.48929i 0.816251 + 0.393086i
\(364\) 0.0814120 0.0392060i 0.00426715 0.00205495i
\(365\) −11.3902 49.9039i −0.596193 2.61209i
\(366\) 0.0738818 + 0.323697i 0.00386187 + 0.0169199i
\(367\) 4.37838 2.10852i 0.228550 0.110064i −0.316105 0.948724i \(-0.602375\pi\)
0.544654 + 0.838661i \(0.316661\pi\)
\(368\) −18.2831 8.80469i −0.953074 0.458976i
\(369\) 0.0240516 + 0.105377i 0.00125207 + 0.00548570i
\(370\) −0.211486 0.265195i −0.0109946 0.0137868i
\(371\) −0.0158532 0.0198792i −0.000823055 0.00103208i
\(372\) 12.7719 + 6.15062i 0.662192 + 0.318895i
\(373\) 1.79849 7.87972i 0.0931225 0.407996i −0.906785 0.421593i \(-0.861471\pi\)
0.999908 + 0.0135969i \(0.00432815\pi\)
\(374\) −0.0144563 + 0.0181277i −0.000747518 + 0.000937359i
\(375\) −0.519784 + 2.27732i −0.0268415 + 0.117600i
\(376\) −0.585308 + 0.281870i −0.0301850 + 0.0145363i
\(377\) 3.78495 + 4.74618i 0.194935 + 0.244441i
\(378\) −0.00168153 0.000809783i −8.64887e−5 4.16508e-5i
\(379\) 15.4012 19.3125i 0.791108 0.992018i −0.208793 0.977960i \(-0.566953\pi\)
0.999901 0.0140585i \(-0.00447510\pi\)
\(380\) 9.21354 0.472644
\(381\) 22.5425 1.15489
\(382\) 0.197518 0.247680i 0.0101059 0.0126724i
\(383\) 25.5082 + 12.2841i 1.30341 + 0.627689i 0.951299 0.308269i \(-0.0997497\pi\)
0.352111 + 0.935958i \(0.385464\pi\)
\(384\) −0.289070 1.26650i −0.0147516 0.0646308i
\(385\) −0.0106481 + 0.0466525i −0.000542679 + 0.00237763i
\(386\) −0.301859 −0.0153642
\(387\) 0.174646 + 0.214512i 0.00887773 + 0.0109043i
\(388\) 10.3940 0.527675
\(389\) −2.74759 + 12.0380i −0.139308 + 0.610349i 0.856279 + 0.516513i \(0.172770\pi\)
−0.995588 + 0.0938363i \(0.970087\pi\)
\(390\) 0.0873274 + 0.382606i 0.00442200 + 0.0193740i
\(391\) −4.57461 2.20302i −0.231348 0.111411i
\(392\) −0.412299 + 0.517007i −0.0208243 + 0.0261128i
\(393\) 8.39143 0.423292
\(394\) −0.0941232 −0.00474186
\(395\) 9.74106 12.2149i 0.490126 0.614598i
\(396\) −0.0745918 + 0.0359215i −0.00374838 + 0.00180512i
\(397\) 11.9479 + 14.9822i 0.599647 + 0.751934i 0.985323 0.170701i \(-0.0546031\pi\)
−0.385676 + 0.922634i \(0.626032\pi\)
\(398\) 0.209596 0.100936i 0.0105061 0.00505948i
\(399\) 0.00824991 0.0361452i 0.000413012 0.00180952i
\(400\) 13.5078 16.9382i 0.675390 0.846912i
\(401\) 6.57005 28.7853i 0.328093 1.43747i −0.494668 0.869082i \(-0.664711\pi\)
0.822761 0.568387i \(-0.192432\pi\)
\(402\) −0.267354 0.128751i −0.0133344 0.00642152i
\(403\) 7.69176 + 9.64516i 0.383154 + 0.480460i
\(404\) 15.1867 + 19.0435i 0.755566 + 0.947450i
\(405\) 6.37273 + 27.9208i 0.316664 + 1.38739i
\(406\) 0.000651959 0 0.000313967i 3.23562e−5 0 1.55819e-5i
\(407\) −3.93407 + 1.89455i −0.195005 + 0.0939092i
\(408\) −0.0361539 0.158401i −0.00178989 0.00784201i
\(409\) −5.98069 26.2031i −0.295726 1.29566i −0.876423 0.481542i \(-0.840077\pi\)
0.580697 0.814120i \(-0.302780\pi\)
\(410\) 0.176030 0.0847717i 0.00869352 0.00418658i
\(411\) 16.6534 + 8.01984i 0.821451 + 0.395590i
\(412\) 0.367025 + 1.60804i 0.0180820 + 0.0792226i
\(413\) −0.0477464 0.0598721i −0.00234945 0.00294611i
\(414\) 0.00315440 + 0.00395550i 0.000155030 + 0.000194402i
\(415\) −1.61899 0.779665i −0.0794731 0.0382722i
\(416\) 0.188684 0.826679i 0.00925100 0.0405313i
\(417\) 12.7877 16.0352i 0.626215 0.785249i
\(418\) −0.00736491 + 0.0322678i −0.000360230 + 0.00157827i
\(419\) −31.9488 + 15.3857i −1.56080 + 0.751643i −0.997227 0.0744224i \(-0.976289\pi\)
−0.563575 + 0.826065i \(0.690574\pi\)
\(420\) −0.104520 0.131063i −0.00510004 0.00639524i
\(421\) 6.09013 2.93285i 0.296815 0.142938i −0.279550 0.960131i \(-0.590185\pi\)
0.576364 + 0.817193i \(0.304471\pi\)
\(422\) 0.156654 0.196438i 0.00762580 0.00956245i
\(423\) −0.290081 −0.0141042
\(424\) −0.159060 −0.00772463
\(425\) 3.37978 4.23811i 0.163943 0.205578i
\(426\) 0.368120 + 0.177277i 0.0178355 + 0.00858912i
\(427\) −0.0274648 0.120331i −0.00132912 0.00582324i
\(428\) 1.91120 8.37354i 0.0923816 0.404750i
\(429\) 5.05195 0.243911
\(430\) 0.307786 0.394060i 0.0148427 0.0190033i
\(431\) 5.04979 0.243240 0.121620 0.992577i \(-0.461191\pi\)
0.121620 + 0.992577i \(0.461191\pi\)
\(432\) 4.65306 20.3864i 0.223870 0.980840i
\(433\) −7.93492 34.7652i −0.381328 1.67071i −0.693326 0.720624i \(-0.743855\pi\)
0.311998 0.950083i \(-0.399002\pi\)
\(434\) 0.00132491 0.000638042i 6.35976e−5 3.06270e-5i
\(435\) 7.02183 8.80509i 0.336671 0.422172i
\(436\) −33.4090 −1.60000
\(437\) −7.24790 −0.346714
\(438\) −0.401631 + 0.503630i −0.0191907 + 0.0240644i
\(439\) −14.9930 + 7.22023i −0.715575 + 0.344603i −0.755993 0.654580i \(-0.772845\pi\)
0.0404176 + 0.999183i \(0.487131\pi\)
\(440\) 0.186641 + 0.234040i 0.00889775 + 0.0111574i
\(441\) −0.266034 + 0.128115i −0.0126683 + 0.00610073i
\(442\) 0.0157295 0.0689156i 0.000748177 0.00327798i
\(443\) 6.38719 8.00928i 0.303464 0.380532i −0.606594 0.795011i \(-0.707465\pi\)
0.910059 + 0.414479i \(0.136036\pi\)
\(444\) 3.40384 14.9132i 0.161539 0.707748i
\(445\) 33.4157 + 16.0922i 1.58406 + 0.762842i
\(446\) 0.432536 + 0.542383i 0.0204812 + 0.0256826i
\(447\) 9.73346 + 12.2054i 0.460377 + 0.577295i
\(448\) 0.0268385 + 0.117587i 0.00126800 + 0.00555547i
\(449\) −14.3177 6.89506i −0.675696 0.325398i 0.0643758 0.997926i \(-0.479494\pi\)
−0.740072 + 0.672528i \(0.765209\pi\)
\(450\) −0.00486645 + 0.00234356i −0.000229407 + 0.000110476i
\(451\) −0.559665 2.45205i −0.0263536 0.115463i
\(452\) −2.86900 12.5699i −0.134946 0.591238i
\(453\) 2.98869 1.43928i 0.140421 0.0676232i
\(454\) −0.213778 0.102950i −0.0100331 0.00483167i
\(455\) −0.0324631 0.142230i −0.00152189 0.00666785i
\(456\) −0.144605 0.181329i −0.00677173 0.00849149i
\(457\) 21.4123 + 26.8502i 1.00163 + 1.25600i 0.966513 + 0.256618i \(0.0826081\pi\)
0.0351142 + 0.999383i \(0.488820\pi\)
\(458\) 0.323506 + 0.155792i 0.0151165 + 0.00727970i
\(459\) 1.16424 5.10086i 0.0543420 0.238088i
\(460\) −20.4330 + 25.6222i −0.952693 + 1.19464i
\(461\) −2.56632 + 11.2438i −0.119526 + 0.523676i 0.879346 + 0.476183i \(0.157980\pi\)
−0.998872 + 0.0474924i \(0.984877\pi\)
\(462\) 0.000542561 0 0.000261284i 2.52422e−5 0 1.21560e-5i
\(463\) −17.2494 21.6300i −0.801646 1.00523i −0.999686 0.0250383i \(-0.992029\pi\)
0.198041 0.980194i \(-0.436542\pi\)
\(464\) −7.30453 + 3.51767i −0.339104 + 0.163304i
\(465\) 14.2697 17.8937i 0.661743 0.829799i
\(466\) −0.567582 −0.0262927
\(467\) 13.7022 0.634063 0.317032 0.948415i \(-0.397314\pi\)
0.317032 + 0.948415i \(0.397314\pi\)
\(468\) 0.157372 0.197338i 0.00727452 0.00912196i
\(469\) 0.0993863 + 0.0478619i 0.00458924 + 0.00221006i
\(470\) 0.116680 + 0.511208i 0.00538204 + 0.0235802i
\(471\) 2.78067 12.1829i 0.128126 0.561358i
\(472\) −0.479055 −0.0220503
\(473\) −4.06389 4.99157i −0.186858 0.229513i
\(474\) −0.196613 −0.00903074
\(475\) 1.72186 7.54396i 0.0790044 0.346141i
\(476\) 0.00671900 + 0.0294378i 0.000307965 + 0.00134928i
\(477\) −0.0639904 0.0308162i −0.00292992 0.00141098i
\(478\) −0.144279 + 0.180920i −0.00659916 + 0.00827509i
\(479\) −30.4148 −1.38969 −0.694844 0.719161i \(-0.744527\pi\)
−0.694844 + 0.719161i \(0.744527\pi\)
\(480\) −1.57309 −0.0718015
\(481\) 8.30000 10.4079i 0.378447 0.474558i
\(482\) −0.0285286 + 0.0137387i −0.00129944 + 0.000625779i
\(483\) 0.0822212 + 0.103102i 0.00374120 + 0.00469131i
\(484\) −18.0801 + 8.70691i −0.821822 + 0.395769i
\(485\) 3.73417 16.3605i 0.169560 0.742891i
\(486\) −0.00645584 + 0.00809536i −0.000292843 + 0.000367213i
\(487\) 1.50021 6.57286i 0.0679811 0.297845i −0.929496 0.368832i \(-0.879758\pi\)
0.997477 + 0.0709872i \(0.0226149\pi\)
\(488\) −0.695649 0.335007i −0.0314906 0.0151651i
\(489\) −4.99462 6.26305i −0.225864 0.283225i
\(490\) 0.332784 + 0.417298i 0.0150336 + 0.0188516i
\(491\) 0.107005 + 0.468819i 0.00482906 + 0.0211575i 0.977285 0.211929i \(-0.0679746\pi\)
−0.972456 + 0.233087i \(0.925117\pi\)
\(492\) 7.93840 + 3.82293i 0.357891 + 0.172351i
\(493\) −1.82766 + 0.880155i −0.0823137 + 0.0396402i
\(494\) −0.0224535 0.0983752i −0.00101023 0.00442611i
\(495\) 0.0297435 + 0.130315i 0.00133687 + 0.00585722i
\(496\) −14.8442 + 7.14860i −0.666526 + 0.320982i
\(497\) −0.136845 0.0659011i −0.00613834 0.00295607i
\(498\) 0.00503201 + 0.0220467i 0.000225490 + 0.000987935i
\(499\) 5.79928 + 7.27207i 0.259612 + 0.325543i 0.894506 0.447057i \(-0.147528\pi\)
−0.634894 + 0.772599i \(0.718956\pi\)
\(500\) −1.69319 2.12319i −0.0757216 0.0949519i
\(501\) 3.32641 + 1.60192i 0.148613 + 0.0715684i
\(502\) −0.118722 + 0.520156i −0.00529883 + 0.0232157i
\(503\) −16.2434 + 20.3685i −0.724256 + 0.908189i −0.998570 0.0534516i \(-0.982978\pi\)
0.274314 + 0.961640i \(0.411549\pi\)
\(504\) 1.33918e−5 0 5.86733e-5i 5.96518e−7 0 2.61351e-6i
\(505\) 35.4311 17.0627i 1.57666 0.759280i
\(506\) −0.0734010 0.0920419i −0.00326307 0.00409176i
\(507\) 6.26700 3.01803i 0.278327 0.134035i
\(508\) −16.3401 + 20.4899i −0.724976 + 0.909091i
\(509\) −36.8517 −1.63342 −0.816710 0.577048i \(-0.804205\pi\)
−0.816710 + 0.577048i \(0.804205\pi\)
\(510\) −0.131140 −0.00580697
\(511\) 0.149302 0.187219i 0.00660475 0.00828210i
\(512\) 1.70065 + 0.818990i 0.0751588 + 0.0361946i
\(513\) −1.66192 7.28135i −0.0733756 0.321479i
\(514\) 0.122029 0.534642i 0.00538245 0.0235820i
\(515\) 2.66297 0.117344
\(516\) 22.5479 0.228010i 0.992617 0.0100376i
\(517\) 6.75001 0.296865
\(518\) 0.000353101 0.00154704i 1.55144e−5 6.79729e-5i
\(519\) −0.854311 3.74298i −0.0375001 0.164299i
\(520\) −0.822249 0.395974i −0.0360580 0.0173646i
\(521\) −12.2002 + 15.2986i −0.534501 + 0.670243i −0.973617 0.228187i \(-0.926720\pi\)
0.439116 + 0.898430i \(0.355292\pi\)
\(522\) 0.00202129 8.84696e−5
\(523\) −7.87794 −0.344478 −0.172239 0.985055i \(-0.555100\pi\)
−0.172239 + 0.985055i \(0.555100\pi\)
\(524\) −6.08259 + 7.62733i −0.265719 + 0.333201i
\(525\) −0.126847 + 0.0610861i −0.00553604 + 0.00266602i
\(526\) −0.134467 0.168616i −0.00586305 0.00735203i
\(527\) −3.71417 + 1.78865i −0.161792 + 0.0779147i
\(528\) −1.50135 + 6.57784i −0.0653378 + 0.286264i
\(529\) 1.73351 2.17375i 0.0753700 0.0945109i
\(530\) −0.0285681 + 0.125165i −0.00124092 + 0.00543682i
\(531\) −0.192726 0.0928119i −0.00836359 0.00402769i
\(532\) 0.0268739 + 0.0336988i 0.00116513 + 0.00146103i
\(533\) 4.78083 + 5.99497i 0.207081 + 0.259671i
\(534\) −0.103860 0.455040i −0.00449446 0.0196915i
\(535\) −12.4936 6.01659i −0.540144 0.260120i
\(536\) 0.621729 0.299409i 0.0268546 0.0129325i
\(537\) −3.54290 15.5225i −0.152888 0.669844i
\(538\) −0.00882358 0.0386586i −0.000380411 0.00166669i
\(539\) 6.19045 2.98116i 0.266642 0.128408i
\(540\) −30.4256 14.6522i −1.30931 0.630530i
\(541\) −9.63629 42.2193i −0.414296 1.81515i −0.563225 0.826303i \(-0.690440\pi\)
0.148929 0.988848i \(-0.452417\pi\)
\(542\) −0.312385 0.391719i −0.0134181 0.0168258i
\(543\) −9.37663 11.7579i −0.402390 0.504581i
\(544\) 0.255287 + 0.122940i 0.0109454 + 0.00527100i
\(545\) −12.0026 + 52.5867i −0.514134 + 2.25257i
\(546\) −0.00114468 + 0.00143538i −4.89878e−5 + 6.14288e-5i
\(547\) 0.388553 1.70236i 0.0166133 0.0727878i −0.965942 0.258760i \(-0.916686\pi\)
0.982555 + 0.185972i \(0.0595434\pi\)
\(548\) −19.3609 + 9.32372i −0.827057 + 0.398290i
\(549\) −0.214958 0.269549i −0.00917421 0.0115041i
\(550\) 0.113239 0.0545332i 0.00482854 0.00232530i
\(551\) −1.80544 + 2.26395i −0.0769144 + 0.0964476i
\(552\) 0.824953 0.0351123
\(553\) 0.0730890 0.00310806
\(554\) 0.00337709 0.00423474i 0.000143479 0.000179917i
\(555\) −22.2509 10.7155i −0.944500 0.454847i
\(556\) 5.30587 + 23.2465i 0.225019 + 0.985872i
\(557\) 3.19784 14.0107i 0.135497 0.593651i −0.860895 0.508782i \(-0.830096\pi\)
0.996392 0.0848685i \(-0.0270470\pi\)
\(558\) 0.00410767 0.000173891
\(559\) 17.7655 + 8.33516i 0.751399 + 0.352540i
\(560\) 0.194837 0.00823335
\(561\) −0.375651 + 1.64584i −0.0158600 + 0.0694873i
\(562\) −0.0773438 0.338865i −0.00326255 0.0142942i
\(563\) −39.9825 19.2546i −1.68506 0.811483i −0.996248 0.0865434i \(-0.972418\pi\)
−0.688813 0.724939i \(-0.741868\pi\)
\(564\) −14.7435 + 18.4877i −0.620812 + 0.778473i
\(565\) −20.8161 −0.875741
\(566\) −0.158567 −0.00666507
\(567\) −0.0835333 + 0.104747i −0.00350807 + 0.00439898i
\(568\) −0.856059 + 0.412256i −0.0359194 + 0.0172979i
\(569\) −3.86069 4.84115i −0.161849 0.202952i 0.694294 0.719692i \(-0.255717\pi\)
−0.856142 + 0.516740i \(0.827145\pi\)
\(570\) −0.168660 + 0.0812225i −0.00706440 + 0.00340204i
\(571\) 2.08224 9.12288i 0.0871390 0.381781i −0.912488 0.409104i \(-0.865841\pi\)
0.999627 + 0.0273234i \(0.00869839\pi\)
\(572\) −3.66195 + 4.59193i −0.153114 + 0.191998i
\(573\) 5.13257 22.4872i 0.214416 0.939418i
\(574\) 0.000823499 0 0.000396576i 3.43722e−5 0 1.65528e-5i
\(575\) 17.1606 + 21.5187i 0.715646 + 0.897392i
\(576\) 0.210056 + 0.263402i 0.00875235 + 0.0109751i
\(577\) −1.68874 7.39887i −0.0703033 0.308019i 0.927535 0.373736i \(-0.121924\pi\)
−0.997838 + 0.0657174i \(0.979066\pi\)
\(578\) 0.0212819 + 0.0102488i 0.000885209 + 0.000426294i
\(579\) −19.8015 + 9.53592i −0.822924 + 0.396299i
\(580\) 2.91350 + 12.7649i 0.120976 + 0.530032i
\(581\) −0.00187060 0.00819563i −7.76055e−5 0.000340012i
\(582\) −0.190269 + 0.0916289i −0.00788692 + 0.00379814i
\(583\) 1.48902 + 0.717073i 0.0616688 + 0.0296981i
\(584\) −0.333337 1.46044i −0.0137936 0.0604336i
\(585\) −0.254078 0.318604i −0.0105048 0.0131727i
\(586\) −0.457299 0.573435i −0.0188908 0.0236884i
\(587\) 20.2791 + 9.76592i 0.837009 + 0.403082i 0.802739 0.596330i \(-0.203375\pi\)
0.0342701 + 0.999413i \(0.489089\pi\)
\(588\) −5.35611 + 23.4666i −0.220882 + 0.967748i
\(589\) −3.66901 + 4.60079i −0.151179 + 0.189572i
\(590\) −0.0860412 + 0.376971i −0.00354226 + 0.0155197i
\(591\) −6.17437 + 2.97342i −0.253980 + 0.122310i
\(592\) 11.0848 + 13.8999i 0.455584 + 0.571284i
\(593\) −19.9835 + 9.62352i −0.820622 + 0.395191i −0.796590 0.604520i \(-0.793365\pi\)
−0.0240325 + 0.999711i \(0.507651\pi\)
\(594\) 0.0756360 0.0948446i 0.00310338 0.00389152i
\(595\) 0.0487499 0.00199855
\(596\) −18.1494 −0.743427
\(597\) 10.5606 13.2426i 0.432217 0.541983i
\(598\) 0.323369 + 0.155726i 0.0132236 + 0.00636813i
\(599\) −8.72440 38.2241i −0.356469 1.56179i −0.761916 0.647675i \(-0.775741\pi\)
0.405447 0.914118i \(-0.367116\pi\)
\(600\) −0.195981 + 0.858650i −0.00800090 + 0.0350542i
\(601\) 11.7051 0.477461 0.238731 0.971086i \(-0.423269\pi\)
0.238731 + 0.971086i \(0.423269\pi\)
\(602\) 0.00233903 2.36529e-5i 9.53319e−5 9.64019e-7i
\(603\) 0.308131 0.0125481
\(604\) −0.858155 + 3.75982i −0.0349178 + 0.152985i
\(605\) 7.20945 + 31.5867i 0.293106 + 1.28418i
\(606\) −0.445882 0.214726i −0.0181127 0.00872263i
\(607\) 25.8952 32.4716i 1.05105 1.31798i 0.104822 0.994491i \(-0.466573\pi\)
0.946232 0.323489i \(-0.104856\pi\)
\(608\) 0.404471 0.0164035
\(609\) 0.0526861 0.00213495
\(610\) −0.388562 + 0.487241i −0.0157324 + 0.0197278i
\(611\) −18.5409 + 8.92882i −0.750084 + 0.361221i
\(612\) 0.0525874 + 0.0659426i 0.00212572 + 0.00266557i
\(613\) −38.6355 + 18.6059i −1.56047 + 0.751485i −0.997200 0.0747850i \(-0.976173\pi\)
−0.563275 + 0.826270i \(0.690459\pi\)
\(614\) −0.0947405 + 0.415085i −0.00382342 + 0.0167515i
\(615\) 8.86937 11.1218i 0.357648 0.448476i
\(616\) −0.000311619 0.00136529i −1.25555e−5 5.50091e-5i
\(617\) 7.26292 + 3.49764i 0.292394 + 0.140810i 0.574330 0.818624i \(-0.305262\pi\)
−0.281936 + 0.959433i \(0.590977\pi\)
\(618\) −0.0208944 0.0262008i −0.000840498 0.00105395i
\(619\) 10.0647 + 12.6207i 0.404533 + 0.507268i 0.941814 0.336135i \(-0.109120\pi\)
−0.537281 + 0.843403i \(0.680548\pi\)
\(620\) 5.92080 + 25.9407i 0.237785 + 1.04180i
\(621\) 23.9345 + 11.5263i 0.960460 + 0.462533i
\(622\) −0.407544 + 0.196263i −0.0163410 + 0.00786942i
\(623\) 0.0386089 + 0.169157i 0.00154683 + 0.00677712i
\(624\) −4.57718 20.0539i −0.183234 0.802800i
\(625\) 20.4693 9.85752i 0.818774 0.394301i
\(626\) 0.458906 + 0.220997i 0.0183416 + 0.00883283i
\(627\) 0.536233 + 2.34939i 0.0214151 + 0.0938256i
\(628\) 9.05797 + 11.3583i 0.361452 + 0.453247i
\(629\) 2.77353 + 3.47790i 0.110588 + 0.138673i
\(630\) −4.37651e−5 0 2.10761e-5i −1.74364e−6 0 8.39693e-7i
\(631\) 3.37110 14.7698i 0.134201 0.587975i −0.862445 0.506150i \(-0.831068\pi\)
0.996647 0.0818245i \(-0.0260747\pi\)
\(632\) 0.285073 0.357470i 0.0113396 0.0142194i
\(633\) 4.07070 17.8349i 0.161796 0.708874i
\(634\) −0.0300803 + 0.0144859i −0.00119464 + 0.000575309i
\(635\) 26.3813 + 33.0811i 1.04691 + 1.31278i
\(636\) −5.21634 + 2.51206i −0.206841 + 0.0996095i
\(637\) −13.0605 + 16.3773i −0.517474 + 0.648892i
\(638\) −0.0470342 −0.00186210
\(639\) −0.424266 −0.0167837
\(640\) 1.52029 1.90638i 0.0600946 0.0753563i
\(641\) 4.01483 + 1.93344i 0.158576 + 0.0763663i 0.511489 0.859290i \(-0.329094\pi\)
−0.352912 + 0.935656i \(0.614809\pi\)
\(642\) 0.0388315 + 0.170132i 0.00153256 + 0.00671457i
\(643\) −2.54007 + 11.1288i −0.100171 + 0.438877i 0.899826 + 0.436249i \(0.143693\pi\)
−0.999997 + 0.00262727i \(0.999164\pi\)
\(644\) −0.153313 −0.00604136
\(645\) 7.74172 35.5730i 0.304830 1.40069i
\(646\) 0.0337185 0.00132664
\(647\) 6.99481 30.6463i 0.274995 1.20483i −0.629041 0.777372i \(-0.716552\pi\)
0.904035 0.427458i \(-0.140591\pi\)
\(648\) 0.186499 + 0.817103i 0.00732635 + 0.0320989i
\(649\) 4.48461 + 2.15968i 0.176036 + 0.0847747i
\(650\) −0.238909 + 0.299583i −0.00937079 + 0.0117506i
\(651\) 0.107069 0.00419635
\(652\) 9.31314 0.364731
\(653\) −19.5319 + 24.4922i −0.764342 + 0.958454i −0.999910 0.0134034i \(-0.995733\pi\)
0.235568 + 0.971858i \(0.424305\pi\)
\(654\) 0.611574 0.294519i 0.0239145 0.0115166i
\(655\) 9.82040 + 12.3144i 0.383715 + 0.481163i
\(656\) −9.22645 + 4.44323i −0.360232 + 0.173479i
\(657\) 0.148843 0.652123i 0.00580691 0.0254417i
\(658\) −0.00152943 + 0.00191784i −5.96234e−5 + 7.47654e-5i
\(659\) −1.88832 + 8.27329i −0.0735587 + 0.322282i −0.998298 0.0583196i \(-0.981426\pi\)
0.924739 + 0.380601i \(0.124283\pi\)
\(660\) 9.81708 + 4.72765i 0.382129 + 0.184024i
\(661\) −7.90923 9.91786i −0.307633 0.385760i 0.603849 0.797099i \(-0.293633\pi\)
−0.911483 + 0.411338i \(0.865061\pi\)
\(662\) 0.110204 + 0.138191i 0.00428320 + 0.00537096i
\(663\) −1.14525 5.01768i −0.0444780 0.194871i
\(664\) −0.0473799 0.0228170i −0.00183870 0.000885470i
\(665\) 0.0626978 0.0301937i 0.00243132 0.00117086i
\(666\) −0.000986320 0.00432135i −3.82191e−5 0.000167449i
\(667\) −2.29193 10.0416i −0.0887438 0.388812i
\(668\) −3.86723 + 1.86236i −0.149627 + 0.0720568i
\(669\) 45.5080 + 21.9155i 1.75944 + 0.847303i
\(670\) −0.123940 0.543018i −0.00478823 0.0209786i
\(671\) 5.00195 + 6.27225i 0.193098 + 0.242137i
\(672\) −0.00458838 0.00575364i −0.000177001 0.000221952i
\(673\) 28.0793 + 13.5223i 1.08238 + 0.521246i 0.888076 0.459696i \(-0.152042\pi\)
0.194302 + 0.980942i \(0.437756\pi\)
\(674\) −0.180755 + 0.791938i −0.00696241 + 0.0305043i
\(675\) −17.6831 + 22.1739i −0.680624 + 0.853476i
\(676\) −1.79947 + 7.88398i −0.0692103 + 0.303230i
\(677\) −25.3965 + 12.2303i −0.976065 + 0.470048i −0.852750 0.522319i \(-0.825067\pi\)
−0.123315 + 0.992368i \(0.539353\pi\)
\(678\) 0.163330 + 0.204809i 0.00627264 + 0.00786564i
\(679\) 0.0707308 0.0340621i 0.00271440 0.00130719i
\(680\) 0.190142 0.238430i 0.00729161 0.00914339i
\(681\) −17.2758 −0.662010
\(682\) −0.0955828 −0.00366006
\(683\) −7.44702 + 9.33827i −0.284952 + 0.357319i −0.903621 0.428333i \(-0.859101\pi\)
0.618669 + 0.785652i \(0.287672\pi\)
\(684\) 0.108475 + 0.0522389i 0.00414765 + 0.00199741i
\(685\) 7.72018 + 33.8243i 0.294973 + 1.29236i
\(686\) −0.00111126 + 0.00486876i −4.24282e−5 + 0.000185890i
\(687\) 26.1432 0.997425
\(688\) −16.1323 + 20.6543i −0.615037 + 0.787437i
\(689\) −5.03856 −0.191954
\(690\) 0.148166 0.649160i 0.00564060 0.0247131i
\(691\) 3.49097 + 15.2949i 0.132803 + 0.581846i 0.996911 + 0.0785404i \(0.0250260\pi\)
−0.864108 + 0.503306i \(0.832117\pi\)
\(692\) 4.02141 + 1.93661i 0.152871 + 0.0736188i
\(693\) −0.000389876 0 0.000488889i −1.48102e−5 0 1.85714e-5i
\(694\) 0.128169 0.00486522
\(695\) 38.4969 1.46027
\(696\) 0.205494 0.257682i 0.00778924 0.00976740i
\(697\) −2.30855 + 1.11174i −0.0874424 + 0.0421100i
\(698\) 0.0457246 + 0.0573369i 0.00173070 + 0.00217023i
\(699\) −37.2327 + 17.9303i −1.40827 + 0.678187i
\(700\) 0.0364220 0.159575i 0.00137662 0.00603137i
\(701\) 27.7355 34.7792i 1.04756 1.31359i 0.0996573 0.995022i \(-0.468225\pi\)
0.947899 0.318572i \(-0.103203\pi\)
\(702\) −0.0822975 + 0.360569i −0.00310612 + 0.0136088i
\(703\) 5.72113 + 2.75515i 0.215776 + 0.103912i
\(704\) −4.88788 6.12921i −0.184219 0.231003i
\(705\) 23.8035 + 29.8486i 0.896490 + 1.12416i
\(706\) −0.104738 0.458885i −0.00394185 0.0172704i
\(707\) 0.165752 + 0.0798221i 0.00623376 + 0.00300202i
\(708\) −15.7105 + 7.56579i −0.590438 + 0.284340i
\(709\) 7.37748 + 32.3228i 0.277067 + 1.21391i 0.901482 + 0.432817i \(0.142480\pi\)
−0.624415 + 0.781093i \(0.714663\pi\)
\(710\) 0.170653 + 0.747681i 0.00640450 + 0.0280600i
\(711\) 0.183942 0.0885818i 0.00689836 0.00332208i
\(712\) 0.977915 + 0.470939i 0.0366489 + 0.0176492i
\(713\) −4.65765 20.4065i −0.174430 0.764229i
\(714\) −0.000382507 0 0.000479649i −1.43150e−5 0 1.79504e-5i
\(715\) 5.91224 + 7.41372i 0.221105 + 0.277257i
\(716\) 16.6771 + 8.03129i 0.623254 + 0.300143i
\(717\) −3.74913 + 16.4260i −0.140014 + 0.613440i
\(718\) 0.154353 0.193552i 0.00576039 0.00722330i
\(719\) −9.60906 + 42.1000i −0.358357 + 1.57007i 0.398928 + 0.916982i \(0.369382\pi\)
−0.757286 + 0.653084i \(0.773475\pi\)
\(720\) 0.490342 0.236136i 0.0182740 0.00880028i
\(721\) 0.00776730 + 0.00973989i 0.000289269 + 0.000362732i
\(722\) −0.360990 + 0.173843i −0.0134346 + 0.00646978i
\(723\) −1.43743 + 1.80248i −0.0534585 + 0.0670349i
\(724\) 17.4840 0.649787
\(725\) 10.9963 0.408391
\(726\) 0.254212 0.318772i 0.00943470 0.0118307i
\(727\) −9.66974 4.65670i −0.358631 0.172708i 0.245888 0.969298i \(-0.420920\pi\)
−0.604519 + 0.796591i \(0.706635\pi\)
\(728\) −0.000950036 0.00416238i −3.52107e−5 0.000154268i
\(729\) −6.09015 + 26.6827i −0.225561 + 0.988248i
\(730\) −1.20910 −0.0447508
\(731\) −4.03645 + 5.16789i −0.149293 + 0.191141i
\(732\) −28.1045 −1.03877
\(733\) 0.0389699 0.170738i 0.00143938 0.00630636i −0.974203 0.225673i \(-0.927542\pi\)
0.975643 + 0.219367i \(0.0703991\pi\)
\(734\) −0.0255432 0.111912i −0.000942815 0.00413074i
\(735\) 35.0129 + 16.8613i 1.29147 + 0.621940i
\(736\) −0.897001 + 1.12480i −0.0330639 + 0.0414608i
\(737\) −7.17003 −0.264111
\(738\) 0.00255313 9.39819e−5
\(739\) 14.7658 18.5157i 0.543168 0.681111i −0.432179 0.901788i \(-0.642255\pi\)
0.975347 + 0.220677i \(0.0708265\pi\)
\(740\) 25.8685 12.4576i 0.950945 0.457951i
\(741\) −4.58066 5.74397i −0.168275 0.211010i
\(742\) −0.000541123 0 0.000260591i −1.98652e−5 0 9.56660e-6i
\(743\) 8.68072 38.0327i 0.318465 1.39529i −0.521781 0.853080i \(-0.674732\pi\)
0.840246 0.542206i \(-0.182411\pi\)
\(744\) 0.417605 0.523660i 0.0153101 0.0191983i
\(745\) −6.52038 + 28.5676i −0.238888 + 1.04664i
\(746\) −0.172008 0.0828345i −0.00629765 0.00303279i
\(747\) −0.0146406 0.0183587i −0.000535671 0.000671710i
\(748\) −1.22368 1.53444i −0.0447421 0.0561048i
\(749\) −0.0144352 0.0632448i −0.000527451 0.00231091i
\(750\) 0.0497121 + 0.0239401i 0.00181523 + 0.000874168i
\(751\) −18.5464 + 8.93149i −0.676769 + 0.325915i −0.740504 0.672052i \(-0.765413\pi\)
0.0637350 + 0.997967i \(0.479699\pi\)
\(752\) −6.11565 26.7944i −0.223015 0.977092i
\(753\) 8.64406 + 37.8721i 0.315007 + 1.38014i
\(754\) 0.129193 0.0622163i 0.00470495 0.00226578i
\(755\) 5.60977 + 2.70152i 0.204160 + 0.0983185i
\(756\) −0.0351541 0.154020i −0.00127854 0.00560165i
\(757\)