Properties

Label 354.2.e.b.49.1
Level 354
Weight 2
Character 354.49
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 49.1
Character \(\chi\) = 354.49
Dual form 354.2.e.b.289.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.370138 - 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(-2.09789 + 2.46983i) q^{5} +(0.468408 - 0.883512i) q^{6} +(3.22015 + 1.93750i) q^{7} +(-0.907575 + 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +O(q^{10})\) \(q+(0.370138 - 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(-2.09789 + 2.46983i) q^{5} +(0.468408 - 0.883512i) q^{6} +(3.22015 + 1.93750i) q^{7} +(-0.907575 + 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +(1.51790 + 2.86307i) q^{10} +(-0.0664190 + 1.22503i) q^{11} +(-0.647386 - 0.762162i) q^{12} +(3.78822 - 0.833851i) q^{13} +(2.99179 - 2.27430i) q^{14} +(-2.35263 + 2.22853i) q^{15} +(0.0541389 + 0.998533i) q^{16} +(1.60517 - 0.965800i) q^{17} +(0.561187 - 0.827689i) q^{18} +(-0.558798 + 2.01261i) q^{19} +(3.22155 - 0.350365i) q^{20} +(2.99179 + 2.27430i) q^{21} +(1.11344 + 0.515131i) q^{22} +(-1.75355 - 2.58629i) q^{23} +(-0.947653 + 0.319302i) q^{24} +(-0.889991 - 5.42870i) q^{25} +(0.627538 - 3.82781i) q^{26} +(0.947653 + 0.319302i) q^{27} +(-1.00540 - 3.62111i) q^{28} +(1.74335 + 4.37548i) q^{29} +(1.19945 + 3.01040i) q^{30} +(-1.92596 - 6.93668i) q^{31} +(0.947653 + 0.319302i) q^{32} +(-0.198478 + 1.21066i) q^{33} +(-0.303070 - 1.84865i) q^{34} +(-11.5408 + 3.88855i) q^{35} +(-0.561187 - 0.827689i) q^{36} +(-4.48315 - 2.07412i) q^{37} +(1.66283 + 1.26405i) q^{38} +(3.85617 - 0.419384i) q^{39} +(0.866939 - 3.12243i) q^{40} +(-2.48825 + 3.66990i) q^{41} +(3.22015 - 1.93750i) q^{42} +(0.269998 + 4.97982i) q^{43} +(0.890670 - 0.843688i) q^{44} +(-2.57978 + 1.96110i) q^{45} +(-3.05166 + 0.671721i) q^{46} +(-8.53306 - 10.0459i) q^{47} +(-0.0541389 + 0.998533i) q^{48} +(3.33661 + 6.29351i) q^{49} +(-5.37256 - 1.18259i) q^{50} +(1.70018 - 0.786589i) q^{51} +(-3.32367 - 1.99979i) q^{52} +(3.77351 - 7.11759i) q^{53} +(0.647386 - 0.762162i) q^{54} +(-2.88626 - 2.73401i) q^{55} +(-3.73607 - 0.406322i) q^{56} +(-0.773124 + 1.94039i) q^{57} +4.71000 q^{58} +(2.23996 + 7.34728i) q^{59} +3.24055 q^{60} +(3.52880 - 8.85663i) q^{61} +(-7.15688 - 0.778358i) q^{62} +(2.72836 + 2.58444i) q^{63} +(0.647386 - 0.762162i) q^{64} +(-5.88781 + 11.1056i) q^{65} +(1.05121 + 0.632495i) q^{66} +(10.9304 - 5.05696i) q^{67} +(-1.82953 - 0.402710i) q^{68} +(-1.46364 - 2.76072i) q^{69} +(-0.659320 + 12.1604i) q^{70} +(2.28511 + 2.69024i) q^{71} +(-0.976621 + 0.214970i) q^{72} +(-9.95742 + 7.56944i) q^{73} +(-3.58620 + 3.39703i) q^{74} +(-0.297827 - 5.49310i) q^{75} +(1.78975 - 1.07686i) q^{76} +(-2.58737 + 3.81609i) q^{77} +(1.03772 - 3.73753i) q^{78} +(8.31992 - 0.904846i) q^{79} +(-2.57978 - 1.96110i) q^{80} +(0.907575 + 0.419889i) q^{81} +(2.48825 + 3.66990i) q^{82} +(2.60163 - 0.876592i) q^{83} +(-0.607992 - 3.70859i) q^{84} +(-0.982115 + 5.99064i) q^{85} +(4.72607 + 1.59240i) q^{86} +(1.26006 + 4.53832i) q^{87} +(-0.454095 - 1.13969i) q^{88} +(-6.43106 - 16.1407i) q^{89} +(0.866939 + 3.12243i) q^{90} +(13.8142 + 4.65456i) q^{91} +(-0.505522 + 3.08355i) q^{92} +(-1.16468 - 7.10425i) q^{93} +(-12.4908 + 4.20865i) q^{94} +(-3.79850 - 5.60236i) q^{95} +(0.907575 + 0.419889i) q^{96} +(-3.99980 - 3.04057i) q^{97} +(7.08153 - 0.770163i) q^{98} +(-0.328211 + 1.18211i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{18}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.370138 0.928977i 0.261727 0.656886i
\(3\) 0.994138 + 0.108119i 0.573966 + 0.0624225i
\(4\) −0.725995 0.687699i −0.362998 0.343850i
\(5\) −2.09789 + 2.46983i −0.938204 + 1.10454i 0.0561494 + 0.998422i \(0.482118\pi\)
−0.994354 + 0.106117i \(0.966158\pi\)
\(6\) 0.468408 0.883512i 0.191227 0.360692i
\(7\) 3.22015 + 1.93750i 1.21710 + 0.732307i 0.971494 0.237063i \(-0.0761846\pi\)
0.245609 + 0.969369i \(0.421012\pi\)
\(8\) −0.907575 + 0.419889i −0.320876 + 0.148453i
\(9\) 0.976621 + 0.214970i 0.325540 + 0.0716568i
\(10\) 1.51790 + 2.86307i 0.480003 + 0.905381i
\(11\) −0.0664190 + 1.22503i −0.0200261 + 0.369360i 0.971293 + 0.237885i \(0.0764540\pi\)
−0.991320 + 0.131475i \(0.958029\pi\)
\(12\) −0.647386 0.762162i −0.186884 0.220017i
\(13\) 3.78822 0.833851i 1.05066 0.231269i 0.344111 0.938929i \(-0.388180\pi\)
0.706553 + 0.707660i \(0.250249\pi\)
\(14\) 2.99179 2.27430i 0.799591 0.607833i
\(15\) −2.35263 + 2.22853i −0.607445 + 0.575403i
\(16\) 0.0541389 + 0.998533i 0.0135347 + 0.249633i
\(17\) 1.60517 0.965800i 0.389311 0.234241i −0.307419 0.951574i \(-0.599465\pi\)
0.696730 + 0.717333i \(0.254638\pi\)
\(18\) 0.561187 0.827689i 0.132273 0.195088i
\(19\) −0.558798 + 2.01261i −0.128197 + 0.461724i −0.999583 0.0288740i \(-0.990808\pi\)
0.871386 + 0.490598i \(0.163222\pi\)
\(20\) 3.22155 0.350365i 0.720362 0.0783440i
\(21\) 2.99179 + 2.27430i 0.652863 + 0.496294i
\(22\) 1.11344 + 0.515131i 0.237386 + 0.109826i
\(23\) −1.75355 2.58629i −0.365640 0.539279i 0.599717 0.800212i \(-0.295280\pi\)
−0.965357 + 0.260934i \(0.915970\pi\)
\(24\) −0.947653 + 0.319302i −0.193439 + 0.0651772i
\(25\) −0.889991 5.42870i −0.177998 1.08574i
\(26\) 0.627538 3.82781i 0.123070 0.750696i
\(27\) 0.947653 + 0.319302i 0.182376 + 0.0614496i
\(28\) −1.00540 3.62111i −0.190002 0.684326i
\(29\) 1.74335 + 4.37548i 0.323732 + 0.812506i 0.997304 + 0.0733839i \(0.0233798\pi\)
−0.673572 + 0.739122i \(0.735241\pi\)
\(30\) 1.19945 + 3.01040i 0.218989 + 0.549621i
\(31\) −1.92596 6.93668i −0.345913 1.24586i −0.908064 0.418830i \(-0.862440\pi\)
0.562152 0.827034i \(-0.309974\pi\)
\(32\) 0.947653 + 0.319302i 0.167523 + 0.0564451i
\(33\) −0.198478 + 1.21066i −0.0345507 + 0.210750i
\(34\) −0.303070 1.84865i −0.0519761 0.317040i
\(35\) −11.5408 + 3.88855i −1.95075 + 0.657285i
\(36\) −0.561187 0.827689i −0.0935312 0.137948i
\(37\) −4.48315 2.07412i −0.737025 0.340984i 0.0152055 0.999884i \(-0.495160\pi\)
−0.752230 + 0.658901i \(0.771022\pi\)
\(38\) 1.66283 + 1.26405i 0.269747 + 0.205057i
\(39\) 3.85617 0.419384i 0.617482 0.0671552i
\(40\) 0.866939 3.12243i 0.137075 0.493700i
\(41\) −2.48825 + 3.66990i −0.388600 + 0.573142i −0.970796 0.239906i \(-0.922883\pi\)
0.582196 + 0.813048i \(0.302194\pi\)
\(42\) 3.22015 1.93750i 0.496880 0.298963i
\(43\) 0.269998 + 4.97982i 0.0411743 + 0.759416i 0.944108 + 0.329636i \(0.106926\pi\)
−0.902934 + 0.429780i \(0.858591\pi\)
\(44\) 0.890670 0.843688i 0.134274 0.127191i
\(45\) −2.57978 + 1.96110i −0.384571 + 0.292343i
\(46\) −3.05166 + 0.671721i −0.449942 + 0.0990398i
\(47\) −8.53306 10.0459i −1.24468 1.46534i −0.832295 0.554333i \(-0.812973\pi\)
−0.412380 0.911012i \(-0.635302\pi\)
\(48\) −0.0541389 + 0.998533i −0.00781428 + 0.144126i
\(49\) 3.33661 + 6.29351i 0.476658 + 0.899073i
\(50\) −5.37256 1.18259i −0.759794 0.167243i
\(51\) 1.70018 0.786589i 0.238073 0.110144i
\(52\) −3.32367 1.99979i −0.460911 0.277321i
\(53\) 3.77351 7.11759i 0.518331 0.977676i −0.476790 0.879017i \(-0.658200\pi\)
0.995121 0.0986591i \(-0.0314553\pi\)
\(54\) 0.647386 0.762162i 0.0880981 0.103717i
\(55\) −2.88626 2.73401i −0.389184 0.368654i
\(56\) −3.73607 0.406322i −0.499253 0.0542970i
\(57\) −0.773124 + 1.94039i −0.102403 + 0.257011i
\(58\) 4.71000 0.618453
\(59\) 2.23996 + 7.34728i 0.291618 + 0.956535i
\(60\) 3.24055 0.418353
\(61\) 3.52880 8.85663i 0.451817 1.13397i −0.509974 0.860190i \(-0.670345\pi\)
0.961791 0.273785i \(-0.0882757\pi\)
\(62\) −7.15688 0.778358i −0.908925 0.0988516i
\(63\) 2.72836 + 2.58444i 0.343741 + 0.325609i
\(64\) 0.647386 0.762162i 0.0809233 0.0952703i
\(65\) −5.88781 + 11.1056i −0.730292 + 1.37748i
\(66\) 1.05121 + 0.632495i 0.129396 + 0.0778548i
\(67\) 10.9304 5.05696i 1.33537 0.617806i 0.383279 0.923633i \(-0.374795\pi\)
0.952087 + 0.305826i \(0.0989327\pi\)
\(68\) −1.82953 0.402710i −0.221863 0.0488357i
\(69\) −1.46364 2.76072i −0.176202 0.332352i
\(70\) −0.659320 + 12.1604i −0.0788038 + 1.45345i
\(71\) 2.28511 + 2.69024i 0.271192 + 0.319272i 0.880853 0.473390i \(-0.156970\pi\)
−0.609660 + 0.792663i \(0.708694\pi\)
\(72\) −0.976621 + 0.214970i −0.115096 + 0.0253345i
\(73\) −9.95742 + 7.56944i −1.16543 + 0.885936i −0.995043 0.0994419i \(-0.968294\pi\)
−0.170385 + 0.985378i \(0.554501\pi\)
\(74\) −3.58620 + 3.39703i −0.416887 + 0.394896i
\(75\) −0.297827 5.49310i −0.0343902 0.634289i
\(76\) 1.78975 1.07686i 0.205299 0.123524i
\(77\) −2.58737 + 3.81609i −0.294858 + 0.434883i
\(78\) 1.03772 3.73753i 0.117499 0.423191i
\(79\) 8.31992 0.904846i 0.936065 0.101803i 0.372645 0.927974i \(-0.378451\pi\)
0.563420 + 0.826171i \(0.309485\pi\)
\(80\) −2.57978 1.96110i −0.288428 0.219257i
\(81\) 0.907575 + 0.419889i 0.100842 + 0.0466543i
\(82\) 2.48825 + 3.66990i 0.274782 + 0.405273i
\(83\) 2.60163 0.876592i 0.285566 0.0962185i −0.172873 0.984944i \(-0.555305\pi\)
0.458440 + 0.888726i \(0.348409\pi\)
\(84\) −0.607992 3.70859i −0.0663374 0.404640i
\(85\) −0.982115 + 5.99064i −0.106525 + 0.649776i
\(86\) 4.72607 + 1.59240i 0.509626 + 0.171713i
\(87\) 1.26006 + 4.53832i 0.135092 + 0.486559i
\(88\) −0.454095 1.13969i −0.0484067 0.121492i
\(89\) −6.43106 16.1407i −0.681691 1.71091i −0.703048 0.711143i \(-0.748178\pi\)
0.0213569 0.999772i \(-0.493201\pi\)
\(90\) 0.866939 + 3.12243i 0.0913834 + 0.329133i
\(91\) 13.8142 + 4.65456i 1.44813 + 0.487931i
\(92\) −0.505522 + 3.08355i −0.0527043 + 0.321482i
\(93\) −1.16468 7.10425i −0.120772 0.736676i
\(94\) −12.4908 + 4.20865i −1.28833 + 0.434089i
\(95\) −3.79850 5.60236i −0.389717 0.574790i
\(96\) 0.907575 + 0.419889i 0.0926290 + 0.0428548i
\(97\) −3.99980 3.04057i −0.406118 0.308723i 0.382098 0.924122i \(-0.375202\pi\)
−0.788216 + 0.615399i \(0.788995\pi\)
\(98\) 7.08153 0.770163i 0.715342 0.0777982i
\(99\) −0.328211 + 1.18211i −0.0329864 + 0.118806i
\(100\) −3.08719 + 4.55326i −0.308719 + 0.455326i
\(101\) −11.0086 + 6.62366i −1.09540 + 0.659079i −0.944183 0.329422i \(-0.893146\pi\)
−0.151215 + 0.988501i \(0.548319\pi\)
\(102\) −0.101420 1.87058i −0.0100421 0.185215i
\(103\) −5.41983 + 5.13394i −0.534032 + 0.505862i −0.906513 0.422178i \(-0.861266\pi\)
0.372481 + 0.928040i \(0.378507\pi\)
\(104\) −3.08797 + 2.34742i −0.302801 + 0.230183i
\(105\) −11.8936 + 2.61798i −1.16069 + 0.255488i
\(106\) −5.21536 6.13999i −0.506560 0.596369i
\(107\) 0.873381 16.1086i 0.0844329 1.55727i −0.582918 0.812531i \(-0.698089\pi\)
0.667351 0.744743i \(-0.267428\pi\)
\(108\) −0.468408 0.883512i −0.0450726 0.0850160i
\(109\) −18.9110 4.16262i −1.81134 0.398707i −0.825233 0.564793i \(-0.808956\pi\)
−0.986111 + 0.166086i \(0.946887\pi\)
\(110\) −3.60815 + 1.66931i −0.344024 + 0.159162i
\(111\) −4.23261 2.54668i −0.401742 0.241720i
\(112\) −1.76032 + 3.32032i −0.166335 + 0.313741i
\(113\) −2.59897 + 3.05975i −0.244491 + 0.287837i −0.870696 0.491821i \(-0.836331\pi\)
0.626205 + 0.779658i \(0.284607\pi\)
\(114\) 1.51642 + 1.43643i 0.142026 + 0.134534i
\(115\) 10.0664 + 1.09479i 0.938700 + 0.102090i
\(116\) 1.74335 4.37548i 0.161866 0.406253i
\(117\) 3.87891 0.358606
\(118\) 7.65455 + 0.638636i 0.704658 + 0.0587912i
\(119\) 7.04014 0.645368
\(120\) 1.19945 3.01040i 0.109494 0.274810i
\(121\) 9.43924 + 1.02658i 0.858113 + 0.0933254i
\(122\) −6.92146 6.55635i −0.626639 0.593584i
\(123\) −2.87045 + 3.37936i −0.258820 + 0.304707i
\(124\) −3.37211 + 6.36048i −0.302825 + 0.571188i
\(125\) 1.39160 + 0.837298i 0.124468 + 0.0748902i
\(126\) 3.41076 1.57798i 0.303854 0.140578i
\(127\) −12.2964 2.70664i −1.09113 0.240176i −0.367264 0.930117i \(-0.619705\pi\)
−0.723866 + 0.689941i \(0.757636\pi\)
\(128\) −0.468408 0.883512i −0.0414018 0.0780922i
\(129\) −0.269998 + 4.97982i −0.0237720 + 0.438449i
\(130\) 8.13752 + 9.58023i 0.713708 + 0.840242i
\(131\) 13.4090 2.95154i 1.17155 0.257877i 0.413765 0.910384i \(-0.364214\pi\)
0.757783 + 0.652507i \(0.226283\pi\)
\(132\) 0.976668 0.742444i 0.0850080 0.0646214i
\(133\) −5.69884 + 5.39823i −0.494153 + 0.468086i
\(134\) −0.652025 12.0259i −0.0563264 1.03888i
\(135\) −2.77669 + 1.67068i −0.238979 + 0.143789i
\(136\) −1.05129 + 1.55053i −0.0901470 + 0.132957i
\(137\) 2.00567 7.22375i 0.171356 0.617167i −0.827123 0.562021i \(-0.810024\pi\)
0.998478 0.0551457i \(-0.0175623\pi\)
\(138\) −3.10640 + 0.337841i −0.264434 + 0.0287589i
\(139\) 13.8772 + 10.5492i 1.17705 + 0.894770i 0.996057 0.0887146i \(-0.0282759\pi\)
0.180993 + 0.983484i \(0.442069\pi\)
\(140\) 11.0527 + 5.11354i 0.934126 + 0.432173i
\(141\) −7.39689 10.9096i −0.622930 0.918754i
\(142\) 3.34497 1.12705i 0.280704 0.0945802i
\(143\) 0.769880 + 4.69606i 0.0643806 + 0.392704i
\(144\) −0.161782 + 0.986827i −0.0134818 + 0.0822355i
\(145\) −14.4640 4.87349i −1.20117 0.404722i
\(146\) 3.34621 + 12.0520i 0.276934 + 0.997427i
\(147\) 2.63660 + 6.61737i 0.217463 + 0.545791i
\(148\) 1.82837 + 4.58886i 0.150291 + 0.377202i
\(149\) 4.14247 + 14.9198i 0.339365 + 1.22228i 0.914623 + 0.404309i \(0.132488\pi\)
−0.575258 + 0.817972i \(0.695098\pi\)
\(150\) −5.21320 1.75653i −0.425656 0.143420i
\(151\) 1.69701 10.3513i 0.138101 0.842378i −0.823377 0.567495i \(-0.807913\pi\)
0.961478 0.274883i \(-0.0886391\pi\)
\(152\) −0.337921 2.06123i −0.0274090 0.167188i
\(153\) 1.77526 0.598156i 0.143521 0.0483580i
\(154\) 2.58737 + 3.81609i 0.208496 + 0.307509i
\(155\) 21.1728 + 9.79560i 1.70064 + 0.786801i
\(156\) −3.08797 2.34742i −0.247236 0.187944i
\(157\) 11.8532 1.28911i 0.945989 0.102882i 0.377897 0.925848i \(-0.376647\pi\)
0.568092 + 0.822965i \(0.307682\pi\)
\(158\) 2.23894 8.06393i 0.178121 0.641532i
\(159\) 4.52093 6.66788i 0.358533 0.528797i
\(160\) −2.77669 + 1.67068i −0.219517 + 0.132079i
\(161\) −0.635752 11.7257i −0.0501042 0.924118i
\(162\) 0.725995 0.687699i 0.0570396 0.0540308i
\(163\) 6.86279 5.21696i 0.537535 0.408624i −0.300875 0.953664i \(-0.597279\pi\)
0.838410 + 0.545040i \(0.183486\pi\)
\(164\) 4.33025 0.953160i 0.338136 0.0744293i
\(165\) −2.57374 3.03005i −0.200366 0.235889i
\(166\) 0.148630 2.74132i 0.0115359 0.212768i
\(167\) −2.74596 5.17942i −0.212488 0.400796i 0.754241 0.656598i \(-0.228005\pi\)
−0.966729 + 0.255802i \(0.917660\pi\)
\(168\) −3.67023 0.807880i −0.283165 0.0623293i
\(169\) 1.85686 0.859075i 0.142835 0.0660827i
\(170\) 5.20164 + 3.12973i 0.398948 + 0.240039i
\(171\) −0.978385 + 1.84543i −0.0748190 + 0.141124i
\(172\) 3.22860 3.80101i 0.246179 0.289824i
\(173\) 13.6322 + 12.9131i 1.03644 + 0.981764i 0.999846 0.0175667i \(-0.00559193\pi\)
0.0365897 + 0.999330i \(0.488351\pi\)
\(174\) 4.68239 + 0.509240i 0.354971 + 0.0386054i
\(175\) 7.65221 19.2056i 0.578453 1.45181i
\(176\) −1.22683 −0.0924755
\(177\) 1.43245 + 7.54640i 0.107670 + 0.567222i
\(178\) −17.3747 −1.30229
\(179\) −0.542688 + 1.36204i −0.0405624 + 0.101804i −0.947862 0.318680i \(-0.896760\pi\)
0.907300 + 0.420484i \(0.138140\pi\)
\(180\) 3.22155 + 0.350365i 0.240121 + 0.0261147i
\(181\) −2.59747 2.46045i −0.193068 0.182884i 0.585059 0.810991i \(-0.301071\pi\)
−0.778127 + 0.628107i \(0.783830\pi\)
\(182\) 9.43716 11.1103i 0.699529 0.823549i
\(183\) 4.46569 8.42318i 0.330113 0.622659i
\(184\) 2.67743 + 1.61096i 0.197383 + 0.118761i
\(185\) 14.5279 6.72130i 1.06811 0.494160i
\(186\) −7.03078 1.54759i −0.515521 0.113475i
\(187\) 1.07652 + 2.03053i 0.0787227 + 0.148487i
\(188\) −0.713594 + 13.1615i −0.0520442 + 0.959898i
\(189\) 2.43294 + 2.86428i 0.176970 + 0.208346i
\(190\) −6.61043 + 1.45507i −0.479571 + 0.105562i
\(191\) 9.12038 6.93314i 0.659928 0.501664i −0.220780 0.975324i \(-0.570860\pi\)
0.880708 + 0.473659i \(0.157067\pi\)
\(192\) 0.725995 0.687699i 0.0523942 0.0496304i
\(193\) 0.352965 + 6.51005i 0.0254070 + 0.468604i 0.983359 + 0.181675i \(0.0581517\pi\)
−0.957952 + 0.286929i \(0.907365\pi\)
\(194\) −4.30509 + 2.59029i −0.309088 + 0.185972i
\(195\) −7.05402 + 10.4039i −0.505149 + 0.745038i
\(196\) 1.90568 6.86364i 0.136120 0.490260i
\(197\) 14.9424 1.62508i 1.06460 0.115782i 0.440985 0.897514i \(-0.354629\pi\)
0.623614 + 0.781732i \(0.285664\pi\)
\(198\) 0.976668 + 0.742444i 0.0694088 + 0.0527632i
\(199\) −5.86659 2.71417i −0.415872 0.192403i 0.200784 0.979635i \(-0.435651\pi\)
−0.616656 + 0.787233i \(0.711513\pi\)
\(200\) 3.08719 + 4.55326i 0.218297 + 0.321964i
\(201\) 11.4131 3.84553i 0.805020 0.271243i
\(202\) 2.07852 + 12.6784i 0.146244 + 0.892050i
\(203\) −2.86364 + 17.4674i −0.200988 + 1.22597i
\(204\) −1.77526 0.598156i −0.124293 0.0418793i
\(205\) −3.84393 13.8446i −0.268472 0.966949i
\(206\) 2.76322 + 6.93516i 0.192523 + 0.483196i
\(207\) −1.15658 2.90279i −0.0803875 0.201758i
\(208\) 1.03772 + 3.73753i 0.0719529 + 0.259151i
\(209\) −2.42838 0.818218i −0.167975 0.0565973i
\(210\) −1.97023 + 12.0179i −0.135959 + 0.829312i
\(211\) −2.53183 15.4435i −0.174298 1.06317i −0.918559 0.395284i \(-0.870646\pi\)
0.744260 0.667889i \(-0.232802\pi\)
\(212\) −7.63431 + 2.57230i −0.524327 + 0.176666i
\(213\) 1.98085 + 2.92153i 0.135725 + 0.200180i
\(214\) −14.6412 6.77375i −1.00085 0.463044i
\(215\) −12.8657 9.78026i −0.877434 0.667008i
\(216\) −0.994138 + 0.108119i −0.0676425 + 0.00735657i
\(217\) 7.23794 26.0687i 0.491343 1.76966i
\(218\) −10.8667 + 16.0271i −0.735983 + 1.08549i
\(219\) −10.7175 + 6.44848i −0.724218 + 0.435748i
\(220\) 0.215234 + 3.96976i 0.0145111 + 0.267641i
\(221\) 5.27542 4.99714i 0.354863 0.336144i
\(222\) −3.93246 + 2.98938i −0.263929 + 0.200634i
\(223\) 13.0558 2.87380i 0.874282 0.192444i 0.244908 0.969546i \(-0.421242\pi\)
0.629374 + 0.777103i \(0.283311\pi\)
\(224\) 2.43294 + 2.86428i 0.162558 + 0.191378i
\(225\) 0.297827 5.49310i 0.0198552 0.366207i
\(226\) 1.88045 + 3.54691i 0.125086 + 0.235937i
\(227\) −12.8504 2.82859i −0.852911 0.187740i −0.233063 0.972462i \(-0.574875\pi\)
−0.619848 + 0.784722i \(0.712806\pi\)
\(228\) 1.89569 0.877040i 0.125545 0.0580834i
\(229\) −19.3693 11.6541i −1.27996 0.770127i −0.297166 0.954826i \(-0.596042\pi\)
−0.982795 + 0.184698i \(0.940869\pi\)
\(230\) 4.74301 8.94626i 0.312745 0.589899i
\(231\) −2.98479 + 3.51397i −0.196385 + 0.231202i
\(232\) −3.41944 3.23906i −0.224497 0.212655i
\(233\) −2.14712 0.233514i −0.140663 0.0152980i 0.0375168 0.999296i \(-0.488055\pi\)
−0.178179 + 0.983998i \(0.557021\pi\)
\(234\) 1.43573 3.60342i 0.0938568 0.235563i
\(235\) 42.7130 2.78629
\(236\) 3.42652 6.87452i 0.223047 0.447493i
\(237\) 8.36898 0.543624
\(238\) 2.60582 6.54012i 0.168910 0.423933i
\(239\) 8.12099 + 0.883211i 0.525303 + 0.0571302i 0.366929 0.930249i \(-0.380409\pi\)
0.158374 + 0.987379i \(0.449375\pi\)
\(240\) −2.35263 2.22853i −0.151861 0.143851i
\(241\) −18.5983 + 21.8956i −1.19802 + 1.41042i −0.309923 + 0.950762i \(0.600303\pi\)
−0.888097 + 0.459657i \(0.847972\pi\)
\(242\) 4.44749 8.38886i 0.285895 0.539256i
\(243\) 0.856857 + 0.515554i 0.0549674 + 0.0330728i
\(244\) −8.65259 + 4.00312i −0.553925 + 0.256273i
\(245\) −22.5437 4.96224i −1.44026 0.317026i
\(246\) 2.07688 + 3.91742i 0.132417 + 0.249765i
\(247\) −0.438636 + 8.09017i −0.0279098 + 0.514765i
\(248\) 4.66059 + 5.48687i 0.295948 + 0.348417i
\(249\) 2.68116 0.590168i 0.169912 0.0374004i
\(250\) 1.29291 0.982848i 0.0817711 0.0621608i
\(251\) −17.1254 + 16.2220i −1.08094 + 1.02392i −0.0813147 + 0.996688i \(0.525912\pi\)
−0.999629 + 0.0272358i \(0.991330\pi\)
\(252\) −0.203459 3.75258i −0.0128167 0.236391i
\(253\) 3.28474 1.97637i 0.206510 0.124253i
\(254\) −7.06578 + 10.4212i −0.443346 + 0.653887i
\(255\) −1.62406 + 5.84933i −0.101703 + 0.366299i
\(256\) −0.994138 + 0.108119i −0.0621336 + 0.00675744i
\(257\) 14.5187 + 11.0369i 0.905655 + 0.688461i 0.950563 0.310530i \(-0.100507\pi\)
−0.0449088 + 0.998991i \(0.514300\pi\)
\(258\) 4.52620 + 2.09404i 0.281789 + 0.130369i
\(259\) −10.4178 15.3651i −0.647330 0.954740i
\(260\) 11.9118 4.01356i 0.738740 0.248910i
\(261\) 0.761993 + 4.64795i 0.0471662 + 0.287701i
\(262\) 2.22126 13.5491i 0.137230 0.837066i
\(263\) 22.4789 + 7.57402i 1.38611 + 0.467034i 0.910823 0.412798i \(-0.135448\pi\)
0.475285 + 0.879832i \(0.342345\pi\)
\(264\) −0.328211 1.18211i −0.0202000 0.0727537i
\(265\) 9.66281 + 24.2518i 0.593581 + 1.48978i
\(266\) 2.90547 + 7.29219i 0.178146 + 0.447113i
\(267\) −4.64824 16.7414i −0.284468 1.02456i
\(268\) −11.4131 3.84553i −0.697167 0.234903i
\(269\) −0.595654 + 3.63333i −0.0363177 + 0.221528i −0.998749 0.0499957i \(-0.984079\pi\)
0.962432 + 0.271524i \(0.0875275\pi\)
\(270\) 0.524263 + 3.19786i 0.0319056 + 0.194616i
\(271\) −22.0944 + 7.44448i −1.34214 + 0.452220i −0.896521 0.443002i \(-0.853913\pi\)
−0.445620 + 0.895222i \(0.647017\pi\)
\(272\) 1.05129 + 1.55053i 0.0637436 + 0.0940147i
\(273\) 13.2300 + 6.12086i 0.800717 + 0.370451i
\(274\) −5.96833 4.53700i −0.360560 0.274090i
\(275\) 6.70942 0.729693i 0.404593 0.0440022i
\(276\) −0.835949 + 3.01082i −0.0503182 + 0.181230i
\(277\) −14.0507 + 20.7232i −0.844225 + 1.24514i 0.123301 + 0.992369i \(0.460652\pi\)
−0.967527 + 0.252770i \(0.918659\pi\)
\(278\) 14.9364 8.98695i 0.895827 0.539002i
\(279\) −0.389751 7.18853i −0.0233338 0.430366i
\(280\) 8.84139 8.37501i 0.528374 0.500503i
\(281\) 4.29491 3.26490i 0.256213 0.194768i −0.469181 0.883102i \(-0.655451\pi\)
0.725394 + 0.688334i \(0.241658\pi\)
\(282\) −12.8726 + 2.83348i −0.766554 + 0.168731i
\(283\) 16.0004 + 18.8371i 0.951126 + 1.11975i 0.992699 + 0.120616i \(0.0384871\pi\)
−0.0415734 + 0.999135i \(0.513237\pi\)
\(284\) 0.191097 3.52457i 0.0113395 0.209145i
\(285\) −3.17051 5.98021i −0.187805 0.354237i
\(286\) 4.64749 + 1.02299i 0.274812 + 0.0604907i
\(287\) −15.1230 + 6.99664i −0.892682 + 0.412999i
\(288\) 0.856857 + 0.515554i 0.0504908 + 0.0303793i
\(289\) −6.31914 + 11.9192i −0.371714 + 0.701127i
\(290\) −9.88105 + 11.6329i −0.580235 + 0.683105i
\(291\) −3.64761 3.45520i −0.213826 0.202547i
\(292\) 12.4345 + 1.35234i 0.727677 + 0.0791396i
\(293\) −5.93315 + 14.8911i −0.346618 + 0.869946i 0.647542 + 0.762030i \(0.275797\pi\)
−0.994160 + 0.107916i \(0.965582\pi\)
\(294\) 7.12329 0.415438
\(295\) −22.8457 9.88146i −1.33013 0.575321i
\(296\) 4.93969 0.287114
\(297\) −0.454095 + 1.13969i −0.0263493 + 0.0661317i
\(298\) 15.3935 + 1.67414i 0.891720 + 0.0969804i
\(299\) −8.79942 8.33525i −0.508883 0.482040i
\(300\) −3.56138 + 4.19278i −0.205617 + 0.242071i
\(301\) −8.77897 + 16.5589i −0.506012 + 0.954439i
\(302\) −8.98800 5.40790i −0.517201 0.311190i
\(303\) −11.6602 + 5.39459i −0.669862 + 0.309911i
\(304\) −2.03991 0.449018i −0.116997 0.0257530i
\(305\) 14.4713 + 27.2957i 0.828623 + 1.56295i
\(306\) 0.101420 1.87058i 0.00579778 0.106934i
\(307\) 8.49456 + 10.0006i 0.484810 + 0.570763i 0.949122 0.314909i \(-0.101974\pi\)
−0.464312 + 0.885672i \(0.653698\pi\)
\(308\) 4.50274 0.991128i 0.256567 0.0564748i
\(309\) −5.94314 + 4.51786i −0.338093 + 0.257012i
\(310\) 16.9368 16.0433i 0.961943 0.911201i
\(311\) 0.102305 + 1.88691i 0.00580120 + 0.106997i 1.00000 0.000562764i \(-0.000179133\pi\)
−0.994199 + 0.107560i \(0.965696\pi\)
\(312\) −3.32367 + 1.99979i −0.188166 + 0.113216i
\(313\) −9.08705 + 13.4024i −0.513630 + 0.757548i −0.992749 0.120202i \(-0.961646\pi\)
0.479119 + 0.877750i \(0.340956\pi\)
\(314\) 3.18977 11.4885i 0.180009 0.648334i
\(315\) −12.1069 + 1.31671i −0.682147 + 0.0741880i
\(316\) −6.66249 5.06469i −0.374794 0.284911i
\(317\) −22.4022 10.3644i −1.25823 0.582120i −0.326476 0.945205i \(-0.605861\pi\)
−0.931756 + 0.363085i \(0.881723\pi\)
\(318\) −4.52093 6.66788i −0.253521 0.373916i
\(319\) −5.47587 + 1.84503i −0.306590 + 0.103302i
\(320\) 0.524263 + 3.19786i 0.0293072 + 0.178766i
\(321\) 2.60990 15.9197i 0.145671 0.888552i
\(322\) −11.1283 3.74955i −0.620154 0.208954i
\(323\) 1.04681 + 3.77027i 0.0582461 + 0.209783i
\(324\) −0.370138 0.928977i −0.0205632 0.0516098i
\(325\) −7.89822 19.8230i −0.438114 1.09958i
\(326\) −2.30625 8.30637i −0.127731 0.460047i
\(327\) −18.3501 6.18286i −1.01476 0.341913i
\(328\) 0.717327 4.37550i 0.0396078 0.241597i
\(329\) −8.01382 48.8821i −0.441816 2.69496i
\(330\) −3.76748 + 1.26941i −0.207393 + 0.0698789i
\(331\) −20.3444 30.0058i −1.11823 1.64927i −0.630175 0.776453i \(-0.717017\pi\)
−0.488055 0.872813i \(-0.662293\pi\)
\(332\) −2.49161 1.15274i −0.136745 0.0632648i
\(333\) −3.93246 2.98938i −0.215497 0.163817i
\(334\) −5.82795 + 0.633827i −0.318891 + 0.0346815i
\(335\) −10.4410 + 37.6052i −0.570455 + 2.05459i
\(336\) −2.10899 + 3.11053i −0.115055 + 0.169694i
\(337\) −8.89466 + 5.35174i −0.484523 + 0.291528i −0.736780 0.676132i \(-0.763655\pi\)
0.252257 + 0.967660i \(0.418827\pi\)
\(338\) −0.110766 2.04296i −0.00602487 0.111122i
\(339\) −2.91455 + 2.76081i −0.158297 + 0.149947i
\(340\) 4.83277 3.67377i 0.262094 0.199238i
\(341\) 8.62554 1.89862i 0.467099 0.102816i
\(342\) 1.35222 + 1.59196i 0.0731199 + 0.0860834i
\(343\) −0.0250837 + 0.462641i −0.00135439 + 0.0249803i
\(344\) −2.33602 4.40619i −0.125950 0.237566i
\(345\) 9.88906 + 2.17675i 0.532409 + 0.117192i
\(346\) 17.0417 7.88435i 0.916170 0.423865i
\(347\) −1.73613 1.04460i −0.0932004 0.0560768i 0.468191 0.883627i \(-0.344906\pi\)
−0.561391 + 0.827551i \(0.689734\pi\)
\(348\) 2.20620 4.16134i 0.118265 0.223071i
\(349\) −6.83591 + 8.04785i −0.365918 + 0.430792i −0.914051 0.405599i \(-0.867063\pi\)
0.548133 + 0.836391i \(0.315339\pi\)
\(350\) −15.0092 14.2175i −0.802275 0.759955i
\(351\) 3.85617 + 0.419384i 0.205827 + 0.0223851i
\(352\) −0.454095 + 1.13969i −0.0242034 + 0.0607458i
\(353\) 21.2043 1.12859 0.564296 0.825572i \(-0.309148\pi\)
0.564296 + 0.825572i \(0.309148\pi\)
\(354\) 7.54063 + 1.46249i 0.400780 + 0.0777307i
\(355\) −11.4383 −0.607083
\(356\) −6.43106 + 16.1407i −0.340845 + 0.855457i
\(357\) 6.99887 + 0.761173i 0.370419 + 0.0402855i
\(358\) 1.06444 + 1.00829i 0.0562572 + 0.0532897i
\(359\) 16.1271 18.9863i 0.851156 1.00206i −0.148757 0.988874i \(-0.547527\pi\)
0.999913 0.0131842i \(-0.00419677\pi\)
\(360\) 1.51790 2.86307i 0.0800004 0.150897i
\(361\) 12.5419 + 7.54624i 0.660103 + 0.397171i
\(362\) −3.24713 + 1.50228i −0.170665 + 0.0789581i
\(363\) 9.27291 + 2.04112i 0.486702 + 0.107131i
\(364\) −6.82814 12.8792i −0.357892 0.675056i
\(365\) 2.19438 40.4729i 0.114859 2.11845i
\(366\) −6.17202 7.26626i −0.322616 0.379813i
\(367\) 11.2671 2.48008i 0.588139 0.129459i 0.0890760 0.996025i \(-0.471609\pi\)
0.499063 + 0.866566i \(0.333678\pi\)
\(368\) 2.48756 1.89100i 0.129673 0.0985749i
\(369\) −3.21900 + 3.04920i −0.167574 + 0.158735i
\(370\) −0.866620 15.9839i −0.0450534 0.830961i
\(371\) 25.9416 15.6085i 1.34682 0.810355i
\(372\) −4.04003 + 5.95860i −0.209466 + 0.308939i
\(373\) −1.77033 + 6.37617i −0.0916644 + 0.330145i −0.995137 0.0985005i \(-0.968595\pi\)
0.903473 + 0.428646i \(0.141009\pi\)
\(374\) 2.28477 0.248484i 0.118143 0.0128488i
\(375\) 1.29291 + 0.982848i 0.0667658 + 0.0507540i
\(376\) 11.9626 + 5.53447i 0.616922 + 0.285419i
\(377\) 10.2527 + 15.1216i 0.528041 + 0.778802i
\(378\) 3.56137 1.19997i 0.183177 0.0617196i
\(379\) 5.14689 + 31.3946i 0.264378 + 1.61263i 0.701118 + 0.713045i \(0.252685\pi\)
−0.436740 + 0.899588i \(0.643867\pi\)
\(380\) −1.09505 + 6.67951i −0.0561749 + 0.342652i
\(381\) −11.9317 4.02025i −0.611279 0.205964i
\(382\) −3.06492 11.0388i −0.156815 0.564796i
\(383\) −11.9697 30.0417i −0.611624 1.53506i −0.829161 0.559010i \(-0.811181\pi\)
0.217537 0.976052i \(-0.430198\pi\)
\(384\) −0.370138 0.928977i −0.0188885 0.0474066i
\(385\) −3.99705 14.3961i −0.203709 0.733692i
\(386\) 6.17833 + 2.08172i 0.314469 + 0.105957i
\(387\) −0.806829 + 4.92144i −0.0410134 + 0.250171i
\(388\) 0.812838 + 4.95809i 0.0412656 + 0.251709i
\(389\) −9.02159 + 3.03973i −0.457413 + 0.154120i −0.538570 0.842581i \(-0.681035\pi\)
0.0811568 + 0.996701i \(0.474139\pi\)
\(390\) 7.05402 + 10.4039i 0.357194 + 0.526822i
\(391\) −5.31259 2.45786i −0.268669 0.124300i
\(392\) −5.67080 4.31083i −0.286419 0.217730i
\(393\) 13.6495 1.48447i 0.688526 0.0748817i
\(394\) 4.02108 14.4826i 0.202579 0.729624i
\(395\) −15.2195 + 22.4470i −0.765774 + 1.12943i
\(396\) 1.05121 0.632495i 0.0528255 0.0317841i
\(397\) 1.12518 + 20.7527i 0.0564712 + 1.04155i 0.880211 + 0.474582i \(0.157401\pi\)
−0.823740 + 0.566967i \(0.808117\pi\)
\(398\) −4.69285 + 4.44531i −0.235232 + 0.222823i
\(399\) −6.24909 + 4.75043i −0.312846 + 0.237819i
\(400\) 5.37256 1.18259i 0.268628 0.0591295i
\(401\) −7.82987 9.21804i −0.391005 0.460327i 0.531076 0.847324i \(-0.321788\pi\)
−0.922081 + 0.386998i \(0.873512\pi\)
\(402\) 0.652025 12.0259i 0.0325201 0.599797i
\(403\) −13.0801 24.6717i −0.651568 1.22899i
\(404\) 12.5473 + 2.76187i 0.624251 + 0.137408i
\(405\) −2.94104 + 1.36067i −0.146142 + 0.0676123i
\(406\) 15.1669 + 9.12562i 0.752721 + 0.452897i
\(407\) 2.83862 5.35421i 0.140705 0.265398i
\(408\) −1.21277 + 1.42778i −0.0600408 + 0.0706855i
\(409\) −11.1794 10.5897i −0.552788 0.523629i 0.359518 0.933138i \(-0.382941\pi\)
−0.912306 + 0.409510i \(0.865700\pi\)
\(410\) −14.2841 1.55349i −0.705441 0.0767213i
\(411\) 2.77493 6.96456i 0.136877 0.343536i
\(412\) 7.46538 0.367793
\(413\) −7.02235 + 27.9993i −0.345547 + 1.37776i
\(414\) −3.12471 −0.153571
\(415\) −3.29291 + 8.26457i −0.161642 + 0.405692i
\(416\) 3.85617 + 0.419384i 0.189064 + 0.0205620i
\(417\) 12.6553 + 11.9877i 0.619732 + 0.587042i
\(418\) −1.65894 + 1.95306i −0.0811416 + 0.0955273i
\(419\) 8.68419 16.3801i 0.424250 0.800221i −0.575596 0.817734i \(-0.695230\pi\)
0.999847 + 0.0175131i \(0.00557487\pi\)
\(420\) 10.4351 + 6.27857i 0.509179 + 0.306363i
\(421\) −16.5650 + 7.66379i −0.807329 + 0.373510i −0.779736 0.626109i \(-0.784646\pi\)
−0.0275935 + 0.999619i \(0.508784\pi\)
\(422\) −15.2838 3.36421i −0.744002 0.163767i
\(423\) −6.17399 11.6454i −0.300190 0.566218i
\(424\) −0.436144 + 8.04420i −0.0211810 + 0.390661i
\(425\) −6.67163 7.85445i −0.323622 0.380997i
\(426\) 3.44722 0.758791i 0.167018 0.0367635i
\(427\) 28.5230 21.6826i 1.38032 1.04930i
\(428\) −11.7119 + 11.0941i −0.566117 + 0.536255i
\(429\) 0.257634 + 4.75177i 0.0124387 + 0.229418i
\(430\) −13.8477 + 8.33190i −0.667797 + 0.401800i
\(431\) −13.2528 + 19.5464i −0.638365 + 0.941518i 0.361593 + 0.932336i \(0.382233\pi\)
−0.999958 + 0.00918200i \(0.997077\pi\)
\(432\) −0.267528 + 0.963550i −0.0128715 + 0.0463588i
\(433\) −38.7785 + 4.21741i −1.86357 + 0.202676i −0.969475 0.245191i \(-0.921149\pi\)
−0.894100 + 0.447867i \(0.852184\pi\)
\(434\) −21.5382 16.3729i −1.03387 0.785924i
\(435\) −13.8523 6.40876i −0.664167 0.307277i
\(436\) 10.8667 + 16.0271i 0.520419 + 0.767560i
\(437\) 6.18507 2.08399i 0.295872 0.0996909i
\(438\) 2.02355 + 12.3431i 0.0966888 + 0.589776i
\(439\) −3.88076 + 23.6716i −0.185218 + 1.12978i 0.716541 + 0.697545i \(0.245724\pi\)
−0.901760 + 0.432238i \(0.857724\pi\)
\(440\) 3.76748 + 1.26941i 0.179608 + 0.0605169i
\(441\) 1.90568 + 6.86364i 0.0907467 + 0.326840i
\(442\) −2.68960 6.75038i −0.127931 0.321083i
\(443\) 10.9021 + 27.3622i 0.517975 + 1.30002i 0.922678 + 0.385571i \(0.125996\pi\)
−0.404703 + 0.914448i \(0.632625\pi\)
\(444\) 1.32151 + 4.75964i 0.0627160 + 0.225883i
\(445\) 53.3564 + 17.9779i 2.52934 + 0.852233i
\(446\) 2.16276 13.1922i 0.102410 0.624671i
\(447\) 2.50507 + 15.2803i 0.118486 + 0.722731i
\(448\) 3.56137 1.19997i 0.168259 0.0566931i
\(449\) 10.1638 + 14.9904i 0.479657 + 0.707441i 0.988127 0.153638i \(-0.0490991\pi\)
−0.508470 + 0.861080i \(0.669789\pi\)
\(450\) −4.99273 2.30988i −0.235359 0.108889i
\(451\) −4.33046 3.29193i −0.203913 0.155011i
\(452\) 3.99103 0.434050i 0.187722 0.0204160i
\(453\) 2.80624 10.1072i 0.131849 0.474875i
\(454\) −7.38411 + 10.8908i −0.346554 + 0.511128i
\(455\) −40.4767 + 24.3540i −1.89758 + 1.14173i
\(456\) −0.113082 2.08568i −0.00529556 0.0976709i
\(457\) −6.50037 + 6.15747i −0.304074 + 0.288035i −0.824488 0.565880i \(-0.808537\pi\)
0.520413 + 0.853915i \(0.325778\pi\)
\(458\) −17.9958 + 13.6800i −0.840887 + 0.639225i
\(459\) 1.82953 0.402710i 0.0853951 0.0187969i
\(460\) −6.55530 7.71749i −0.305642 0.359830i
\(461\) 1.28987 23.7902i 0.0600750 1.10802i −0.800711 0.599051i \(-0.795545\pi\)
0.860786 0.508968i \(-0.169973\pi\)
\(462\) 2.15961 + 4.07346i 0.100474 + 0.189514i
\(463\) 4.70491 + 1.03563i 0.218656 + 0.0481298i 0.322947 0.946417i \(-0.395326\pi\)
−0.104291 + 0.994547i \(0.533257\pi\)
\(464\) −4.27468 + 1.97768i −0.198447 + 0.0918113i
\(465\) 19.9896 + 12.0274i 0.926997 + 0.557755i
\(466\) −1.01166 + 1.90819i −0.0468643 + 0.0883954i
\(467\) 2.21589 2.60874i 0.102539 0.120718i −0.708499 0.705712i \(-0.750627\pi\)
0.811038 + 0.584994i \(0.198903\pi\)
\(468\) −2.81607 2.66753i −0.130173 0.123306i
\(469\) 44.9956 + 4.89356i 2.07770 + 0.225964i
\(470\) 15.8097 39.6794i 0.729248 1.83027i
\(471\) 11.9231 0.549387
\(472\) −5.11798 5.72768i −0.235574 0.263638i
\(473\) −6.11835 −0.281322
\(474\) 3.09768 7.77459i 0.142281 0.357099i
\(475\) 11.4232 + 1.24235i 0.524131 + 0.0570027i
\(476\) −5.11111 4.84150i −0.234267 0.221910i
\(477\) 5.21536 6.13999i 0.238795 0.281131i
\(478\) 3.82637 7.21730i 0.175014 0.330112i
\(479\) −0.132562 0.0797599i −0.00605691 0.00364432i 0.512522 0.858674i \(-0.328711\pi\)
−0.518579 + 0.855030i \(0.673539\pi\)
\(480\) −2.94104 + 1.36067i −0.134240 + 0.0621059i
\(481\) −18.7127 4.11897i −0.853224 0.187809i
\(482\) 13.4566 + 25.3818i 0.612929 + 1.15611i
\(483\) 0.635752 11.7257i 0.0289277 0.533540i
\(484\) −6.14687 7.23665i −0.279403 0.328939i
\(485\) 15.9008 3.50003i 0.722018 0.158928i
\(486\) 0.796093 0.605174i 0.0361115 0.0274513i
\(487\) 15.5602 14.7394i 0.705101 0.667907i −0.248620 0.968601i \(-0.579977\pi\)
0.953721 + 0.300694i \(0.0972183\pi\)
\(488\) 0.516147 + 9.51976i 0.0233649 + 0.430939i
\(489\) 7.38661 4.44438i 0.334034 0.200982i
\(490\) −12.9541 + 19.1059i −0.585206 + 0.863115i
\(491\) 2.35930 8.49744i 0.106474 0.383484i −0.891042 0.453920i \(-0.850025\pi\)
0.997516 + 0.0704358i \(0.0224390\pi\)
\(492\) 4.40792 0.479390i 0.198724 0.0216126i
\(493\) 7.02421 + 5.33967i 0.316355 + 0.240487i
\(494\) 7.35322 + 3.40196i 0.330837 + 0.153062i
\(495\) −2.23105 3.29055i −0.100278 0.147899i
\(496\) 6.82224 2.29868i 0.306327 0.103214i
\(497\) 2.14606 + 13.0904i 0.0962638 + 0.587183i
\(498\) 0.444147 2.70918i 0.0199027 0.121401i
\(499\) 10.6628 + 3.59273i 0.477334 + 0.160833i 0.547676 0.836690i \(-0.315513\pi\)
−0.0703422 + 0.997523i \(0.522409\pi\)
\(500\) −0.434486 1.56488i −0.0194308 0.0699834i
\(501\) −2.16987 5.44595i −0.0969424 0.243307i
\(502\) 8.73112 + 21.9135i 0.389689 + 0.978045i
\(503\) 7.65579 + 27.5737i 0.341355 + 1.22945i 0.912663 + 0.408713i \(0.134022\pi\)
−0.571308 + 0.820736i \(0.693564\pi\)
\(504\) −3.56137 1.19997i −0.158636 0.0534507i
\(505\) 6.73555 41.0851i 0.299728 1.82826i
\(506\) −0.620188 3.78298i −0.0275707 0.168174i
\(507\) 1.93886 0.653277i 0.0861077 0.0290130i
\(508\) 7.06578 + 10.4212i 0.313493 + 0.462368i
\(509\) −15.6893 7.25866i −0.695417 0.321734i 0.0401426 0.999194i \(-0.487219\pi\)
−0.735560 + 0.677460i \(0.763081\pi\)
\(510\) 4.83277 + 3.67377i 0.213999 + 0.162677i
\(511\) −46.7302 + 5.08222i −2.06722 + 0.224824i
\(512\) −0.267528 + 0.963550i −0.0118232 + 0.0425833i
\(513\) −1.17218 + 1.72883i −0.0517528 + 0.0763297i
\(514\) 15.6269 9.40241i 0.689274 0.414723i
\(515\) −1.30973 24.1565i −0.0577134 1.06446i
\(516\) 3.62064 3.42965i 0.159390 0.150982i
\(517\) 12.8733 9.78599i 0.566165 0.430388i
\(518\) −18.1298 + 3.99068i −0.796579 + 0.175340i
\(519\) 12.1561 + 14.3113i 0.533594 + 0.628196i
\(520\) 0.680516 12.5514i 0.0298426 0.550414i
\(521\) −12.8423 24.2232i −0.562632 1.06124i −0.987742 0.156095i \(-0.950109\pi\)
0.425110 0.905142i \(-0.360235\pi\)
\(522\) 4.59988 + 1.01251i 0.201331 + 0.0443164i
\(523\) −18.0479 + 8.34984i −0.789179 + 0.365113i −0.772717 0.634751i \(-0.781103\pi\)
−0.0164627 + 0.999864i \(0.505240\pi\)
\(524\) −11.7646 7.07854i −0.513940 0.309227i
\(525\) 9.68385 18.2657i 0.422638 0.797179i
\(526\) 15.3564 18.0789i 0.669570 0.788279i
\(527\) −9.79094 9.27447i −0.426500 0.404002i
\(528\) −1.21963 0.132643i −0.0530778 0.00577256i
\(529\) 4.89921 12.2961i 0.213009 0.534613i
\(530\) 26.1059 1.13397
\(531\) 0.608145 + 7.65703i 0.0263913 + 0.332287i
\(532\) 7.84970 0.340328
\(533\) −6.36592 + 15.9772i −0.275738 + 0.692051i
\(534\) −17.2729 1.87854i −0.747471 0.0812924i
\(535\) 37.9531 + 35.9511i 1.64086 + 1.55430i
\(536\) −7.79684 + 9.17915i −0.336772 + 0.396479i
\(537\) −0.686769 + 1.29538i −0.0296363 + 0.0558999i
\(538\) 3.15480 + 1.89818i 0.136013 + 0.0818364i
\(539\) −7.93133 + 3.66943i −0.341627 + 0.158053i
\(540\) 3.16479 + 0.696623i 0.136191 + 0.0299779i
\(541\) −7.04708 13.2922i −0.302978 0.571477i 0.684542 0.728974i \(-0.260002\pi\)
−0.987519 + 0.157497i \(0.949658\pi\)
\(542\) −1.26224 + 23.2807i −0.0542180 + 0.999991i
\(543\) −2.31622 2.72687i −0.0993986 0.117021i
\(544\) 1.82953 0.402710i 0.0784404 0.0172660i
\(545\) 49.9541 37.9741i 2.13980 1.62663i
\(546\) 10.5831 10.0248i 0.452914 0.429023i
\(547\) 1.21458 + 22.4015i 0.0519315 + 0.957821i 0.902159 + 0.431404i \(0.141982\pi\)
−0.850227 + 0.526416i \(0.823535\pi\)
\(548\) −6.42388 + 3.86512i −0.274414 + 0.165110i
\(549\) 5.35021 7.89098i 0.228342 0.336779i
\(550\) 1.80554 6.50298i 0.0769887 0.277288i
\(551\) −9.78030 + 1.06367i −0.416655 + 0.0453139i
\(552\) 2.48756 + 1.89100i 0.105878 + 0.0804861i
\(553\) 28.5446 + 13.2061i 1.21384 + 0.561581i
\(554\) 14.0507 + 20.7232i 0.596957 + 0.880446i
\(555\) 15.1694 5.11117i 0.643905 0.216957i
\(556\) −2.82013 17.2020i −0.119600 0.729528i
\(557\) 0.660723 4.03023i 0.0279957 0.170766i −0.969128 0.246559i \(-0.920700\pi\)
0.997124 + 0.0757920i \(0.0241485\pi\)
\(558\) −6.82224 2.29868i −0.288808 0.0973109i
\(559\) 5.17524 + 18.6395i 0.218889 + 0.788369i
\(560\) −4.50765 11.3134i −0.190483 0.478077i
\(561\) 0.850668 + 2.13502i 0.0359152 + 0.0901404i
\(562\) −1.44331 5.19834i −0.0608824 0.219279i
\(563\) 15.6846 + 5.28477i 0.661029 + 0.222727i 0.629766 0.776785i \(-0.283151\pi\)
0.0312626 + 0.999511i \(0.490047\pi\)
\(564\) −2.13241 + 13.0072i −0.0897909 + 0.547700i
\(565\) −2.10469 12.8380i −0.0885448 0.540099i
\(566\) 23.4216 7.89167i 0.984484 0.331711i
\(567\) 2.10899 + 3.11053i 0.0885695 + 0.130630i
\(568\) −3.20351 1.48210i −0.134416 0.0621876i
\(569\) 5.05562 + 3.84318i 0.211943 + 0.161115i 0.705760 0.708451i \(-0.250606\pi\)
−0.493817 + 0.869566i \(0.664399\pi\)
\(570\) −6.72900 + 0.731823i −0.281847 + 0.0306527i
\(571\) −2.38502 + 8.59006i −0.0998099 + 0.359483i −0.996542 0.0830910i \(-0.973521\pi\)
0.896732 + 0.442574i \(0.145935\pi\)
\(572\) 2.67055 3.93877i 0.111661 0.164688i
\(573\) 9.81652 5.90641i 0.410091 0.246744i
\(574\) 0.902120 + 16.6386i 0.0376538 + 0.694483i
\(575\) −12.4796 + 11.8213i −0.520434 + 0.492981i
\(576\) 0.796093 0.605174i 0.0331705 0.0252156i
\(577\) −8.61347 + 1.89597i −0.358584 + 0.0789302i −0.390609 0.920557i \(-0.627735\pi\)
0.0320250 + 0.999487i \(0.489804\pi\)
\(578\) 8.73366 + 10.2821i 0.363272 + 0.427677i
\(579\) −0.352965 + 6.51005i −0.0146687 + 0.270549i
\(580\) 7.14931 + 13.4850i 0.296859 + 0.559935i
\(581\) 10.0761 + 2.21791i 0.418025 + 0.0920143i
\(582\) −4.55991 + 2.10964i −0.189015 + 0.0874474i
\(583\) 8.46861 + 5.09539i 0.350734 + 0.211030i
\(584\) 5.85879 11.0508i 0.242438 0.457287i
\(585\) −8.13752 + 9.58023i −0.336445 + 0.396094i
\(586\) 11.6374 + 11.0235i 0.480736 + 0.455377i
\(587\) −0.0426618 0.00463975i −0.00176084 0.000191503i 0.107239 0.994233i \(-0.465799\pi\)
−0.108999 + 0.994042i \(0.534765\pi\)
\(588\) 2.63660 6.61737i 0.108732 0.272896i
\(589\) 15.0370 0.619591
\(590\) −17.6357 + 17.5656i −0.726051 + 0.723165i
\(591\) 15.0305 0.618271
\(592\) 1.82837 4.58886i 0.0751455 0.188601i
\(593\) −36.7267 3.99427i −1.50818 0.164025i −0.683639 0.729820i \(-0.739604\pi\)
−0.824546 + 0.565795i \(0.808569\pi\)
\(594\) 0.890670 + 0.843688i 0.0365446 + 0.0346169i
\(595\) −14.7694 + 17.3879i −0.605487 + 0.712835i
\(596\) 7.25295 13.6805i 0.297092 0.560376i
\(597\) −5.53875 3.33255i −0.226686 0.136392i
\(598\) −11.0003 + 5.08926i −0.449834 + 0.208115i
\(599\) −22.2842 4.90512i −0.910507 0.200418i −0.265068 0.964230i \(-0.585394\pi\)
−0.645439 + 0.763812i \(0.723326\pi\)
\(600\) 2.57680 + 4.86035i 0.105197 + 0.198423i
\(601\) 1.19645 22.0673i 0.0488044 0.900144i −0.866948 0.498399i \(-0.833921\pi\)
0.915752 0.401744i \(-0.131596\pi\)
\(602\) 12.1334 + 14.2845i 0.494520 + 0.582194i
\(603\) 11.7620 2.58901i 0.478985 0.105433i
\(604\) −8.35061 + 6.34797i −0.339782 + 0.258295i
\(605\) −22.3379 + 21.1596i −0.908166 + 0.860261i
\(606\) 0.695558 + 12.8288i 0.0282551 + 0.521135i
\(607\) −9.36261 + 5.63330i −0.380017 + 0.228649i −0.692727 0.721200i \(-0.743591\pi\)
0.312710 + 0.949849i \(0.398763\pi\)
\(608\) −1.17218 + 1.72883i −0.0475380 + 0.0701133i
\(609\) −4.73542 + 17.0554i −0.191889 + 0.691121i
\(610\) 30.7135 3.34029i 1.24355 0.135244i
\(611\) −40.7019 30.9408i −1.64662 1.25173i
\(612\) −1.70018 0.786589i −0.0687259 0.0317960i
\(613\) 8.18248 + 12.0683i 0.330487 + 0.487432i 0.956238 0.292591i \(-0.0945174\pi\)
−0.625750 + 0.780023i \(0.715207\pi\)
\(614\) 12.4345 4.18966i 0.501814 0.169081i
\(615\) −2.32454 14.1790i −0.0937343 0.571754i
\(616\) 0.745901 4.54979i 0.0300532 0.183316i
\(617\) 21.7811 + 7.33890i 0.876873 + 0.295453i 0.721510 0.692404i \(-0.243449\pi\)
0.155364 + 0.987857i \(0.450345\pi\)
\(618\) 1.99720 + 7.19327i 0.0803392 + 0.289356i
\(619\) 12.6882 + 31.8451i 0.509983 + 1.27996i 0.928358 + 0.371687i \(0.121220\pi\)
−0.418375 + 0.908274i \(0.637400\pi\)
\(620\) −8.63496 21.6721i −0.346788 0.870373i
\(621\) −0.835949 3.01082i −0.0335455 0.120820i
\(622\) 1.79076 + 0.603378i 0.0718030 + 0.0241932i
\(623\) 10.5637 64.4358i 0.423226 2.58157i
\(624\) 0.627538 + 3.82781i 0.0251216 + 0.153235i
\(625\) 21.0786 7.10221i 0.843145 0.284089i
\(626\) 9.08705 + 13.4024i 0.363191 + 0.535667i
\(627\) −2.32568 1.07598i −0.0928789 0.0429704i
\(628\) −9.49190 7.21555i −0.378768 0.287932i
\(629\) −9.19941 + 1.00050i −0.366805 + 0.0398924i
\(630\) −3.25804 + 11.7344i −0.129803 + 0.467510i
\(631\) 16.7230 24.6646i 0.665734 0.981883i −0.333500 0.942750i \(-0.608230\pi\)
0.999234 0.0391335i \(-0.0124598\pi\)
\(632\) −7.17102 + 4.31466i −0.285248 + 0.171628i
\(633\) −0.847255 15.6267i −0.0336754 0.621105i
\(634\) −17.9201 + 16.9749i −0.711700 + 0.674158i
\(635\) 32.4814 24.6917i 1.28899 0.979862i
\(636\) −7.86767 + 1.73181i −0.311974 + 0.0686706i
\(637\) 17.8877 + 21.0590i 0.708735 + 0.834388i
\(638\) −0.312833 + 5.76987i −0.0123852 + 0.228431i
\(639\) 1.65336 + 3.11857i 0.0654060 + 0.123369i
\(640\) 3.16479 + 0.696623i 0.125099 + 0.0275364i
\(641\) −5.76531 + 2.66731i −0.227716 + 0.105353i −0.530430 0.847729i \(-0.677969\pi\)
0.302714 + 0.953081i \(0.402107\pi\)
\(642\) −13.8230 8.31703i −0.545551 0.328247i
\(643\) −11.4782 + 21.6502i −0.452656 + 0.853801i 0.547202 + 0.837000i \(0.315693\pi\)
−0.999859 + 0.0168002i \(0.994652\pi\)
\(644\) −7.60224 + 8.95005i −0.299570 + 0.352681i
\(645\) −11.7329 11.1140i −0.461981 0.437612i
\(646\) 3.88996 + 0.423058i 0.153048 + 0.0166450i
\(647\) 0.774651 1.94423i 0.0304547 0.0764355i −0.912963 0.408043i \(-0.866212\pi\)
0.943418 + 0.331607i \(0.107591\pi\)
\(648\) −1.00000 −0.0392837
\(649\) −9.14940 + 2.25602i −0.359145 + 0.0885564i
\(650\) −21.3386 −0.836967
\(651\) 10.0140 25.1333i 0.392481 0.985053i
\(652\) −8.57005 0.932050i −0.335629 0.0365019i
\(653\) 12.9661 + 12.2822i 0.507405 + 0.480639i 0.898045 0.439904i \(-0.144988\pi\)
−0.390640 + 0.920543i \(0.627746\pi\)
\(654\) −12.5358 + 14.7583i −0.490188 + 0.577094i
\(655\) −20.8407 + 39.3098i −0.814315 + 1.53596i
\(656\) −3.79923 2.28592i −0.148335 0.0892502i
\(657\) −11.3518 + 5.25192i −0.442877 + 0.204897i
\(658\) −48.3766 10.6485i −1.88592 0.415121i
\(659\) 11.2486 + 21.2172i 0.438184 + 0.826503i 1.00000 0.000759319i \(-0.000241699\pi\)
−0.561815 + 0.827263i \(0.689897\pi\)
\(660\) −0.215234 + 3.96976i −0.00837798 + 0.154523i
\(661\) −27.0952 31.8990i −1.05388 1.24073i −0.969706 0.244275i \(-0.921450\pi\)
−0.0841764 0.996451i \(-0.526826\pi\)
\(662\) −35.4049 + 7.79321i −1.37605 + 0.302892i
\(663\) 5.78478 4.39748i 0.224662 0.170784i
\(664\) −1.99311 + 1.88797i −0.0773476 + 0.0732675i
\(665\) −1.37715 25.4000i −0.0534036 0.984971i
\(666\) −4.23261 + 2.54668i −0.164010 + 0.0986818i
\(667\) 8.25920 12.1814i 0.319798 0.471666i
\(668\) −1.56833 + 5.64863i −0.0606807 + 0.218552i
\(669\) 13.2900 1.44537i 0.513821 0.0558814i
\(670\) 31.0698 + 23.6186i 1.20033 + 0.912467i
\(671\) 10.6152 + 4.91113i 0.409796 + 0.189592i
\(672\) 2.10899 + 3.11053i 0.0813562 + 0.119991i
\(673\) 45.8819 15.4594i 1.76862 0.595916i 0.769528 0.638613i \(-0.220491\pi\)
0.999088 + 0.0426964i \(0.0135948\pi\)
\(674\) 1.67939 + 10.2438i 0.0646876 + 0.394577i
\(675\) 0.889991 5.42870i 0.0342558 0.208951i
\(676\) −1.93886 0.653277i −0.0745714 0.0251260i
\(677\) −2.57475 9.27340i −0.0989555 0.356406i 0.897450 0.441116i \(-0.145417\pi\)
−0.996406 + 0.0847105i \(0.973003\pi\)
\(678\) 1.48594 + 3.72943i 0.0570673 + 0.143228i
\(679\) −6.98885 17.5407i −0.268207 0.673150i
\(680\) −1.62406 5.84933i −0.0622798 0.224312i
\(681\) −12.4692 4.20138i −0.477822 0.160997i
\(682\) 1.42886 8.71568i 0.0547140 0.333741i
\(683\) 1.68089 + 10.2530i 0.0643176 + 0.392320i 0.999293 + 0.0376065i \(0.0119733\pi\)
−0.934975 + 0.354714i \(0.884578\pi\)
\(684\) 1.97940 0.666939i 0.0756844 0.0255010i
\(685\) 13.6337 + 20.1083i 0.520919 + 0.768298i
\(686\) 0.420499 + 0.194543i 0.0160547 + 0.00742770i
\(687\) −17.9958 13.6800i −0.686581 0.521925i
\(688\) −4.95790 + 0.539204i −0.189018 + 0.0205570i
\(689\) 8.35988 30.1096i 0.318486 1.14708i
\(690\) 5.68246 8.38101i 0.216328 0.319059i
\(691\) 3.74609 2.25395i 0.142508 0.0857442i −0.442514 0.896761i \(-0.645913\pi\)
0.585022 + 0.811017i \(0.301086\pi\)
\(692\) −1.01658 18.7497i −0.0386445 0.712756i
\(693\) −3.34722 + 3.17066i −0.127151 + 0.120443i
\(694\) −1.61301 + 1.22618i −0.0612292 + 0.0465452i
\(695\) −55.1675 + 12.1433i −2.09262 + 0.460621i
\(696\) −3.04919 3.58978i −0.115579 0.136070i
\(697\) −0.449687 + 8.29398i −0.0170331 + 0.314157i
\(698\) 4.94604 + 9.32922i 0.187210 + 0.353116i
\(699\) −2.10929 0.464290i −0.0797806 0.0175610i
\(700\) −18.7632 + 8.68076i −0.709181 + 0.328102i
\(701\) −11.4383 6.88218i −0.432018 0.259936i 0.282894 0.959151i \(-0.408706\pi\)
−0.714912 + 0.699215i \(0.753533\pi\)
\(702\) 1.81692 3.42707i 0.0685750 0.129346i
\(703\) 6.67957 7.86380i 0.251925 0.296589i
\(704\) 0.890670 + 0.843688i 0.0335684 + 0.0317977i
\(705\) 42.4626 + 4.61809i 1.59924 + 0.173927i
\(706\) 7.84853 19.6983i 0.295383 0.741356i
\(707\) −48.2828 −1.81586
\(708\) 4.14970 6.46375i 0.155955 0.242922i
\(709\) 25.3156 0.950748 0.475374 0.879784i \(-0.342313\pi\)
0.475374 + 0.879784i \(0.342313\pi\)
\(710\) −4.23376 + 10.6259i −0.158890 + 0.398784i
\(711\) 8.31992 + 0.904846i 0.312022 + 0.0339344i
\(712\) 12.6140 + 11.9486i 0.472729 + 0.447793i
\(713\) −14.5630 + 17.1449i −0.545389 + 0.642081i
\(714\) 3.29766 6.22005i 0.123412 0.232779i
\(715\) −13.2136 7.95034i −0.494160 0.297326i
\(716\) 1.33067 0.615631i 0.0497293 0.0230072i
\(717\) 7.97789 + 1.75607i 0.297940 + 0.0655815i
\(718\) −11.6686 22.0092i −0.435467 0.821378i
\(719\) 1.65470 30.5192i 0.0617099 1.13817i −0.789639 0.613572i \(-0.789732\pi\)
0.851349 0.524600i \(-0.175785\pi\)
\(720\) −2.09789 2.46983i −0.0781837 0.0920449i
\(721\) −27.3997 + 6.03113i −1.02042 + 0.224611i
\(722\) 11.6525 8.85803i 0.433662 0.329662i
\(723\) −20.8566 + 19.7564i −0.775664 + 0.734748i
\(724\) 0.193698 + 3.57256i 0.00719874 + 0.132773i
\(725\) 22.2016 13.3583i 0.824547 0.496113i
\(726\) 5.32841 7.85882i 0.197756 0.291668i
\(727\) 9.61046 34.6137i 0.356432 1.28375i −0.540410 0.841402i \(-0.681731\pi\)
0.896842 0.442351i \(-0.145855\pi\)
\(728\) −14.4919 + 1.57609i −0.537104 + 0.0584136i
\(729\) 0.796093 + 0.605174i 0.0294849 + 0.0224139i
\(730\) −36.7862 17.0191i −1.36152 0.629905i
\(731\) 5.24291 + 7.73271i 0.193916 + 0.286005i
\(732\) −9.03468 + 3.04414i −0.333932 + 0.112515i
\(733\) 3.92941 + 23.9684i 0.145136 + 0.885291i 0.954550 + 0.298052i \(0.0963369\pi\)
−0.809413 + 0.587239i \(0.800215\pi\)
\(734\) 1.86645 11.3849i 0.0688921 0.420223i
\(735\) −21.8750 7.37056i −0.806873 0.271867i
\(736\) −0.835949 3.01082i −0.0308135 0.110980i
\(737\) 5.46893 + 13.7260i 0.201450 + 0.505602i
\(738\) 1.64116 + 4.11900i 0.0604119 + 0.151623i
\(739\) 4.09891 + 14.7629i 0.150781 + 0.543063i 0.999890 + 0.0148456i \(0.00472568\pi\)
−0.849109 + 0.528218i \(0.822861\pi\)
\(740\) −15.1694 5.11117i −0.557638 0.187890i
\(741\) −1.31077 + 7.99532i −0.0481522 + 0.293715i
\(742\) −4.89800 29.8765i −0.179811 1.09680i
\(743\) −38.9274 + 13.1162i −1.42811 + 0.481186i −0.923980 0.382442i \(-0.875083\pi\)
−0.504130 + 0.863628i \(0.668187\pi\)
\(744\) 4.04003 + 5.95860i 0.148115 + 0.218453i
\(745\) −45.5398 21.0690i −1.66845 0.771907i
\(746\) 5.26804 + 4.00466i 0.192877 + 0.146621i
\(747\) 2.72925 0.296824i 0.0998581 0.0108602i
\(748\) 0.614846 2.21447i 0.0224810 0.0809692i
\(749\) 34.0228 50.1799i 1.24317 1.83353i
\(750\) 1.39160 0.837298i 0.0508140 0.0305738i
\(751\) −2.44706 45.1334i −0.0892946 1.64694i −0.609417 0.792850i \(-0.708596\pi\)
0.520122 0.854092i \(-0.325886\pi\)
\(752\) 9.56919 9.06442i 0.348953 0.330545i
\(753\) −18.7789 + 14.2753i −0.684341 + 0.520222i
\(754\) 17.8425 3.92744i 0.649786 0.143029i
\(755\) 22.0058 + 25.9072i 0.800873 + 0.942860i
\(756\) 0.203459 3.75258i 0.00739974 0.136480i
\(757\) −24.2707 45.7794i −0.882134 1.66388i −0.738503 0.674250i \(-0.764467\pi\)
−0.143631 0.989631i \(-0.545878\pi\)
\(758\) 31.0699 + 6.83901i 1.12851 + 0.248404i
\(759\) 3.47917 1.60964i 0.126286 0.0584261i
\(760\) 5.79979 + 3.48962i 0.210381 +