Properties

Label 177.2.e.a.7.2
Level $177$
Weight $2$
Character 177.7
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.2
Character \(\chi\) \(=\) 177.7
Dual form 177.2.e.a.76.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.408490 - 0.602477i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(0.544161 - 1.36574i) q^{4} +(-2.21596 + 1.02521i) q^{5} +(-0.623709 + 0.375273i) q^{6} +(0.762154 - 2.74503i) q^{7} +(-2.46688 + 0.543002i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(-0.408490 - 0.602477i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(0.544161 - 1.36574i) q^{4} +(-2.21596 + 1.02521i) q^{5} +(-0.623709 + 0.375273i) q^{6} +(0.762154 - 2.74503i) q^{7} +(-2.46688 + 0.543002i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(1.52286 + 0.916275i) q^{10} +(2.16687 - 2.05257i) q^{11} +(-1.33428 - 0.617303i) q^{12} +(-3.96564 + 0.431290i) q^{13} +(-1.96515 + 0.662136i) q^{14} +(0.903738 + 2.26821i) q^{15} +(-0.799813 - 0.757623i) q^{16} +(0.894824 + 3.22287i) q^{17} +(0.340956 + 0.643111i) q^{18} +(3.85311 - 2.92906i) q^{19} +(0.194335 + 3.58431i) q^{20} +(-2.69974 - 0.909649i) q^{21} +(-2.12177 - 0.467037i) q^{22} +(1.84164 - 3.47369i) q^{23} +(0.408651 + 2.49266i) q^{24} +(0.622477 - 0.732836i) q^{25} +(1.87977 + 2.21303i) q^{26} +(-0.161782 + 0.986827i) q^{27} +(-3.33427 - 2.53465i) q^{28} +(4.16956 - 6.14964i) q^{29} +(0.997378 - 1.47102i) q^{30} +(1.04358 + 0.793307i) q^{31} +(-0.947038 + 5.77667i) q^{32} +(-1.93225 - 2.27482i) q^{33} +(1.57618 - 1.85562i) q^{34} +(1.12533 + 6.86424i) q^{35} +(-0.688634 + 1.29890i) q^{36} +(11.3919 + 2.50755i) q^{37} +(-3.33864 - 1.12492i) q^{38} +(0.215962 + 3.98318i) q^{39} +(4.90981 - 3.73234i) q^{40} +(0.241230 + 0.455008i) q^{41} +(0.554774 + 1.99812i) q^{42} +(8.66588 + 8.20876i) q^{43} +(-1.62415 - 4.07632i) q^{44} +(2.31381 - 0.779614i) q^{45} +(-2.84511 + 0.309424i) q^{46} +(-8.03229 - 3.71613i) q^{47} +(-0.799813 + 0.757623i) q^{48} +(-0.956314 - 0.575395i) q^{49} +(-0.695792 - 0.0756720i) q^{50} +(3.26658 - 0.719029i) q^{51} +(-1.56892 + 5.65073i) q^{52} +(-0.697127 + 0.419447i) q^{53} +(0.660627 - 0.305638i) q^{54} +(-2.69738 + 6.76991i) q^{55} +(-0.389588 + 7.18552i) q^{56} +(-2.71616 - 4.00603i) q^{57} -5.40824 q^{58} +(7.27942 + 2.45154i) q^{59} +3.58957 q^{60} +(-1.41665 - 2.08940i) q^{61} +(0.0516587 - 0.952789i) q^{62} +(-1.05448 + 2.64654i) q^{63} +(1.86746 - 0.863978i) q^{64} +(8.34553 - 5.02134i) q^{65} +(-0.581223 + 2.09337i) q^{66} +(-0.662396 + 0.145804i) q^{67} +(4.88853 + 0.531660i) q^{68} +(-3.36890 - 2.02700i) q^{69} +(3.67586 - 3.48196i) q^{70} +(-10.0294 - 4.64011i) q^{71} +(2.51113 - 0.273102i) q^{72} +(-9.36291 + 3.15473i) q^{73} +(-3.14274 - 7.88769i) q^{74} +(-0.698061 - 0.661239i) q^{75} +(-1.90362 - 6.85623i) q^{76} +(-3.98288 - 7.51250i) q^{77} +(2.31155 - 1.75720i) q^{78} +(-0.614749 - 11.3384i) q^{79} +(2.54907 + 0.858883i) q^{80} +(0.976621 + 0.214970i) q^{81} +(0.175592 - 0.331202i) q^{82} +(0.0357128 + 0.217838i) q^{83} +(-2.71144 + 3.19216i) q^{84} +(-5.28701 - 6.22435i) q^{85} +(1.40567 - 8.57419i) q^{86} +(-5.91489 - 4.49638i) q^{87} +(-4.23087 + 6.24006i) q^{88} +(-1.05330 + 1.55350i) q^{89} +(-1.41487 - 1.07555i) q^{90} +(-1.83853 + 11.2145i) q^{91} +(-3.74202 - 4.40545i) q^{92} +(0.848642 - 0.999098i) q^{93} +(1.04222 + 6.35728i) q^{94} +(-5.53542 + 10.4409i) q^{95} +(5.71693 + 1.25839i) q^{96} +(-7.97414 - 2.68680i) q^{97} +(0.0439820 + 0.811200i) q^{98} +(-2.37609 + 1.80626i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.408490 0.602477i −0.288846 0.426016i 0.655388 0.755293i \(-0.272505\pi\)
−0.944233 + 0.329277i \(0.893195\pi\)
\(3\) 0.0541389 0.998533i 0.0312571 0.576504i
\(4\) 0.544161 1.36574i 0.272081 0.682871i
\(5\) −2.21596 + 1.02521i −0.991006 + 0.458488i −0.847290 0.531131i \(-0.821767\pi\)
−0.143716 + 0.989619i \(0.545905\pi\)
\(6\) −0.623709 + 0.375273i −0.254628 + 0.153205i
\(7\) 0.762154 2.74503i 0.288067 1.03752i −0.667948 0.744208i \(-0.732827\pi\)
0.956015 0.293316i \(-0.0947589\pi\)
\(8\) −2.46688 + 0.543002i −0.872175 + 0.191980i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) 1.52286 + 0.916275i 0.481571 + 0.289752i
\(11\) 2.16687 2.05257i 0.653336 0.618873i −0.287481 0.957786i \(-0.592818\pi\)
0.940818 + 0.338913i \(0.110059\pi\)
\(12\) −1.33428 0.617303i −0.385173 0.178200i
\(13\) −3.96564 + 0.431290i −1.09987 + 0.119618i −0.640006 0.768370i \(-0.721068\pi\)
−0.459866 + 0.887988i \(0.652102\pi\)
\(14\) −1.96515 + 0.662136i −0.525209 + 0.176963i
\(15\) 0.903738 + 2.26821i 0.233344 + 0.585650i
\(16\) −0.799813 0.757623i −0.199953 0.189406i
\(17\) 0.894824 + 3.22287i 0.217027 + 0.781660i 0.989241 + 0.146297i \(0.0467356\pi\)
−0.772214 + 0.635363i \(0.780851\pi\)
\(18\) 0.340956 + 0.643111i 0.0803641 + 0.151583i
\(19\) 3.85311 2.92906i 0.883963 0.671971i −0.0613567 0.998116i \(-0.519543\pi\)
0.945320 + 0.326144i \(0.105750\pi\)
\(20\) 0.194335 + 3.58431i 0.0434547 + 0.801475i
\(21\) −2.69974 0.909649i −0.589132 0.198502i
\(22\) −2.12177 0.467037i −0.452363 0.0995726i
\(23\) 1.84164 3.47369i 0.384008 0.724315i −0.613872 0.789406i \(-0.710389\pi\)
0.997879 + 0.0650906i \(0.0207336\pi\)
\(24\) 0.408651 + 2.49266i 0.0834156 + 0.508813i
\(25\) 0.622477 0.732836i 0.124495 0.146567i
\(26\) 1.87977 + 2.21303i 0.368652 + 0.434011i
\(27\) −0.161782 + 0.986827i −0.0311350 + 0.189915i
\(28\) −3.33427 2.53465i −0.630118 0.479003i
\(29\) 4.16956 6.14964i 0.774268 1.14196i −0.212075 0.977253i \(-0.568022\pi\)
0.986343 0.164706i \(-0.0526676\pi\)
\(30\) 0.997378 1.47102i 0.182095 0.268571i
\(31\) 1.04358 + 0.793307i 0.187432 + 0.142482i 0.694682 0.719317i \(-0.255545\pi\)
−0.507250 + 0.861799i \(0.669338\pi\)
\(32\) −0.947038 + 5.77667i −0.167414 + 1.02118i
\(33\) −1.93225 2.27482i −0.336361 0.395995i
\(34\) 1.57618 1.85562i 0.270312 0.318236i
\(35\) 1.12533 + 6.86424i 0.190216 + 1.16027i
\(36\) −0.688634 + 1.29890i −0.114772 + 0.216484i
\(37\) 11.3919 + 2.50755i 1.87282 + 0.412239i 0.997460 0.0712304i \(-0.0226926\pi\)
0.875361 + 0.483470i \(0.160624\pi\)
\(38\) −3.33864 1.12492i −0.541599 0.182486i
\(39\) 0.215962 + 3.98318i 0.0345815 + 0.637819i
\(40\) 4.90981 3.73234i 0.776310 0.590135i
\(41\) 0.241230 + 0.455008i 0.0376738 + 0.0710603i 0.901634 0.432499i \(-0.142368\pi\)
−0.863960 + 0.503560i \(0.832023\pi\)
\(42\) 0.554774 + 1.99812i 0.0856035 + 0.308316i
\(43\) 8.66588 + 8.20876i 1.32153 + 1.25182i 0.945661 + 0.325153i \(0.105416\pi\)
0.375873 + 0.926671i \(0.377343\pi\)
\(44\) −1.62415 4.07632i −0.244850 0.614528i
\(45\) 2.31381 0.779614i 0.344923 0.116218i
\(46\) −2.84511 + 0.309424i −0.419489 + 0.0456221i
\(47\) −8.03229 3.71613i −1.17163 0.542054i −0.265111 0.964218i \(-0.585409\pi\)
−0.906519 + 0.422164i \(0.861271\pi\)
\(48\) −0.799813 + 0.757623i −0.115443 + 0.109353i
\(49\) −0.956314 0.575395i −0.136616 0.0821993i
\(50\) −0.695792 0.0756720i −0.0983999 0.0107016i
\(51\) 3.26658 0.719029i 0.457413 0.100684i
\(52\) −1.56892 + 5.65073i −0.217570 + 0.783616i
\(53\) −0.697127 + 0.419447i −0.0957578 + 0.0576155i −0.562627 0.826711i \(-0.690209\pi\)
0.466869 + 0.884326i \(0.345382\pi\)
\(54\) 0.660627 0.305638i 0.0898999 0.0415921i
\(55\) −2.69738 + 6.76991i −0.363714 + 0.912854i
\(56\) −0.389588 + 7.18552i −0.0520608 + 0.960205i
\(57\) −2.71616 4.00603i −0.359764 0.530612i
\(58\) −5.40824 −0.710137
\(59\) 7.27942 + 2.45154i 0.947700 + 0.319163i
\(60\) 3.58957 0.463412
\(61\) −1.41665 2.08940i −0.181383 0.267520i 0.726118 0.687570i \(-0.241323\pi\)
−0.907501 + 0.420050i \(0.862012\pi\)
\(62\) 0.0516587 0.952789i 0.00656067 0.121004i
\(63\) −1.05448 + 2.64654i −0.132852 + 0.333432i
\(64\) 1.86746 0.863978i 0.233432 0.107997i
\(65\) 8.34553 5.02134i 1.03514 0.622820i
\(66\) −0.581223 + 2.09337i −0.0715435 + 0.257677i
\(67\) −0.662396 + 0.145804i −0.0809245 + 0.0178128i −0.255248 0.966876i \(-0.582157\pi\)
0.174324 + 0.984688i \(0.444226\pi\)
\(68\) 4.88853 + 0.531660i 0.592822 + 0.0644732i
\(69\) −3.36890 2.02700i −0.405567 0.244022i
\(70\) 3.67586 3.48196i 0.439349 0.416174i
\(71\) −10.0294 4.64011i −1.19028 0.550680i −0.278129 0.960544i \(-0.589714\pi\)
−0.912147 + 0.409864i \(0.865576\pi\)
\(72\) 2.51113 0.273102i 0.295940 0.0321854i
\(73\) −9.36291 + 3.15473i −1.09585 + 0.369233i −0.808442 0.588576i \(-0.799689\pi\)
−0.287404 + 0.957810i \(0.592792\pi\)
\(74\) −3.14274 7.88769i −0.365336 0.916925i
\(75\) −0.698061 0.661239i −0.0806052 0.0763533i
\(76\) −1.90362 6.85623i −0.218360 0.786463i
\(77\) −3.98288 7.51250i −0.453891 0.856129i
\(78\) 2.31155 1.75720i 0.261732 0.198963i
\(79\) −0.614749 11.3384i −0.0691647 1.27567i −0.802851 0.596180i \(-0.796685\pi\)
0.733686 0.679488i \(-0.237798\pi\)
\(80\) 2.54907 + 0.858883i 0.284995 + 0.0960261i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) 0.175592 0.331202i 0.0193909 0.0365751i
\(83\) 0.0357128 + 0.217838i 0.00391998 + 0.0239108i 0.988714 0.149815i \(-0.0478677\pi\)
−0.984794 + 0.173726i \(0.944419\pi\)
\(84\) −2.71144 + 3.19216i −0.295843 + 0.348293i
\(85\) −5.28701 6.22435i −0.573457 0.675125i
\(86\) 1.40567 8.57419i 0.151577 0.924579i
\(87\) −5.91489 4.49638i −0.634142 0.482062i
\(88\) −4.23087 + 6.24006i −0.451012 + 0.665193i
\(89\) −1.05330 + 1.55350i −0.111649 + 0.164670i −0.879408 0.476068i \(-0.842061\pi\)
0.767759 + 0.640739i \(0.221372\pi\)
\(90\) −1.41487 1.07555i −0.149140 0.113373i
\(91\) −1.83853 + 11.2145i −0.192730 + 1.17560i
\(92\) −3.74202 4.40545i −0.390133 0.459300i
\(93\) 0.848642 0.999098i 0.0880000 0.103602i
\(94\) 1.04222 + 6.35728i 0.107497 + 0.655703i
\(95\) −5.53542 + 10.4409i −0.567922 + 1.07121i
\(96\) 5.71693 + 1.25839i 0.583482 + 0.128434i
\(97\) −7.97414 2.68680i −0.809652 0.272803i −0.116125 0.993235i \(-0.537047\pi\)
−0.693526 + 0.720431i \(0.743944\pi\)
\(98\) 0.0439820 + 0.811200i 0.00444285 + 0.0819436i
\(99\) −2.37609 + 1.80626i −0.238806 + 0.181536i
\(100\) −0.662137 1.24892i −0.0662137 0.124892i
\(101\) 1.68327 + 6.06258i 0.167491 + 0.603249i 0.998869 + 0.0475419i \(0.0151388\pi\)
−0.831378 + 0.555707i \(0.812447\pi\)
\(102\) −1.76756 1.67433i −0.175015 0.165783i
\(103\) 3.17064 + 7.95772i 0.312413 + 0.784097i 0.998403 + 0.0564867i \(0.0179899\pi\)
−0.685990 + 0.727611i \(0.740631\pi\)
\(104\) 9.54858 3.21729i 0.936316 0.315481i
\(105\) 6.91510 0.752062i 0.674844 0.0733937i
\(106\) 0.537477 + 0.248663i 0.0522044 + 0.0241523i
\(107\) −6.17907 + 5.85312i −0.597353 + 0.565843i −0.925483 0.378790i \(-0.876340\pi\)
0.328130 + 0.944633i \(0.393582\pi\)
\(108\) 1.25971 + 0.757945i 0.121216 + 0.0729333i
\(109\) −4.01226 0.436360i −0.384305 0.0417957i −0.0860725 0.996289i \(-0.527432\pi\)
−0.298233 + 0.954493i \(0.596397\pi\)
\(110\) 5.18056 1.14033i 0.493947 0.108726i
\(111\) 3.12062 11.2395i 0.296196 1.06680i
\(112\) −2.68928 + 1.61809i −0.254113 + 0.152895i
\(113\) 2.85087 1.31895i 0.268187 0.124077i −0.281187 0.959653i \(-0.590728\pi\)
0.549374 + 0.835576i \(0.314866\pi\)
\(114\) −1.30402 + 3.27285i −0.122133 + 0.306530i
\(115\) −0.519717 + 9.58562i −0.0484639 + 0.893864i
\(116\) −6.12991 9.04094i −0.569148 0.839430i
\(117\) 3.98903 0.368786
\(118\) −1.49657 5.38711i −0.137771 0.495924i
\(119\) 9.52886 0.873509
\(120\) −3.46106 5.10468i −0.315950 0.465991i
\(121\) −0.113238 + 2.08856i −0.0102944 + 0.189869i
\(122\) −0.680129 + 1.70699i −0.0615760 + 0.154544i
\(123\) 0.467400 0.216242i 0.0421441 0.0194979i
\(124\) 1.65133 0.993571i 0.148294 0.0892253i
\(125\) 2.63795 9.50103i 0.235945 0.849798i
\(126\) 2.02522 0.445785i 0.180421 0.0397137i
\(127\) −15.1849 1.65146i −1.34744 0.146543i −0.594217 0.804305i \(-0.702538\pi\)
−0.753226 + 0.657762i \(0.771503\pi\)
\(128\) 8.74836 + 5.26371i 0.773253 + 0.465251i
\(129\) 8.66588 8.20876i 0.762988 0.722741i
\(130\) −6.43430 2.97683i −0.564326 0.261085i
\(131\) −14.7278 + 1.60174i −1.28677 + 0.139945i −0.725809 0.687896i \(-0.758534\pi\)
−0.560963 + 0.827841i \(0.689569\pi\)
\(132\) −4.15827 + 1.40108i −0.361931 + 0.121949i
\(133\) −5.10369 12.8093i −0.442546 1.11071i
\(134\) 0.358426 + 0.339519i 0.0309633 + 0.0293300i
\(135\) −0.653203 2.35263i −0.0562188 0.202482i
\(136\) −3.95745 7.46454i −0.339348 0.640079i
\(137\) 17.4766 13.2853i 1.49312 1.13504i 0.536430 0.843945i \(-0.319772\pi\)
0.956693 0.291098i \(-0.0940207\pi\)
\(138\) 0.154939 + 2.85769i 0.0131893 + 0.243263i
\(139\) 19.8823 + 6.69911i 1.68639 + 0.568211i 0.988926 0.148407i \(-0.0474147\pi\)
0.697465 + 0.716619i \(0.254311\pi\)
\(140\) 9.98714 + 2.19834i 0.844068 + 0.185793i
\(141\) −4.14554 + 7.81933i −0.349118 + 0.658506i
\(142\) 1.30136 + 7.93794i 0.109208 + 0.666138i
\(143\) −7.70778 + 9.07431i −0.644557 + 0.758832i
\(144\) 0.713211 + 0.839657i 0.0594342 + 0.0699714i
\(145\) −2.93489 + 17.9020i −0.243729 + 1.48668i
\(146\) 5.72530 + 4.35226i 0.473829 + 0.360196i
\(147\) −0.626325 + 0.923760i −0.0516584 + 0.0761904i
\(148\) 9.62372 14.1939i 0.791065 1.16673i
\(149\) 12.3194 + 9.36498i 1.00925 + 0.767209i 0.972687 0.232122i \(-0.0745669\pi\)
0.0365598 + 0.999331i \(0.488360\pi\)
\(150\) −0.113230 + 0.690675i −0.00924523 + 0.0563934i
\(151\) 5.50060 + 6.47581i 0.447632 + 0.526994i 0.938981 0.343969i \(-0.111772\pi\)
−0.491348 + 0.870963i \(0.663496\pi\)
\(152\) −7.91468 + 9.31788i −0.641965 + 0.755780i
\(153\) −0.541126 3.30072i −0.0437474 0.266847i
\(154\) −2.89915 + 5.46837i −0.233620 + 0.440654i
\(155\) −3.12583 0.688047i −0.251073 0.0552653i
\(156\) 5.55751 + 1.87254i 0.444957 + 0.149923i
\(157\) 0.473253 + 8.72864i 0.0377697 + 0.696621i 0.954699 + 0.297572i \(0.0961769\pi\)
−0.916930 + 0.399049i \(0.869340\pi\)
\(158\) −6.58000 + 5.00199i −0.523477 + 0.397937i
\(159\) 0.381091 + 0.718813i 0.0302225 + 0.0570056i
\(160\) −3.82371 13.7718i −0.302291 1.08875i
\(161\) −8.13179 7.70284i −0.640874 0.607069i
\(162\) −0.269425 0.676205i −0.0211680 0.0531277i
\(163\) −8.63031 + 2.90789i −0.675978 + 0.227763i −0.636291 0.771449i \(-0.719532\pi\)
−0.0396864 + 0.999212i \(0.512636\pi\)
\(164\) 0.752691 0.0818601i 0.0587753 0.00639220i
\(165\) 6.61394 + 3.05994i 0.514895 + 0.238216i
\(166\) 0.116654 0.110501i 0.00905412 0.00857652i
\(167\) 14.6539 + 8.81697i 1.13395 + 0.682278i 0.953526 0.301310i \(-0.0974240\pi\)
0.180429 + 0.983588i \(0.442252\pi\)
\(168\) 7.15389 + 0.778032i 0.551935 + 0.0600265i
\(169\) 2.84424 0.626064i 0.218788 0.0481588i
\(170\) −1.59034 + 5.72788i −0.121973 + 0.439309i
\(171\) −4.14721 + 2.49529i −0.317145 + 0.190820i
\(172\) 15.9267 7.36847i 1.21440 0.561841i
\(173\) 1.14992 2.88607i 0.0874266 0.219424i −0.878762 0.477260i \(-0.841630\pi\)
0.966189 + 0.257836i \(0.0830093\pi\)
\(174\) −0.292796 + 5.40031i −0.0221968 + 0.409396i
\(175\) −1.53723 2.26725i −0.116204 0.171388i
\(176\) −3.28817 −0.247855
\(177\) 2.84204 7.13602i 0.213621 0.536376i
\(178\) 1.36621 0.102402
\(179\) 5.39081 + 7.95084i 0.402928 + 0.594274i 0.973978 0.226641i \(-0.0727744\pi\)
−0.571051 + 0.820915i \(0.693464\pi\)
\(180\) 0.194335 3.58431i 0.0144849 0.267158i
\(181\) −4.65396 + 11.6806i −0.345926 + 0.868209i 0.648348 + 0.761344i \(0.275460\pi\)
−0.994274 + 0.106864i \(0.965919\pi\)
\(182\) 7.50751 3.47334i 0.556494 0.257461i
\(183\) −2.16303 + 1.30145i −0.159896 + 0.0962061i
\(184\) −2.65688 + 9.56921i −0.195868 + 0.705451i
\(185\) −27.8148 + 6.12250i −2.04498 + 0.450135i
\(186\) −0.948595 0.103166i −0.0695544 0.00756450i
\(187\) 8.55412 + 5.14685i 0.625540 + 0.376375i
\(188\) −9.44614 + 8.94786i −0.688931 + 0.652590i
\(189\) 2.58557 + 1.19621i 0.188072 + 0.0870115i
\(190\) 8.55157 0.930039i 0.620396 0.0674721i
\(191\) 14.0591 4.73705i 1.01728 0.342761i 0.239228 0.970963i \(-0.423106\pi\)
0.778050 + 0.628203i \(0.216209\pi\)
\(192\) −0.761609 1.91149i −0.0549644 0.137950i
\(193\) −13.2764 12.5760i −0.955653 0.905243i 0.0399228 0.999203i \(-0.487289\pi\)
−0.995576 + 0.0939600i \(0.970047\pi\)
\(194\) 1.63862 + 5.90177i 0.117646 + 0.423722i
\(195\) −4.56216 8.60514i −0.326703 0.616227i
\(196\) −1.30623 + 0.992970i −0.0933021 + 0.0709264i
\(197\) −0.151590 2.79591i −0.0108003 0.199200i −0.998954 0.0457312i \(-0.985438\pi\)
0.988153 0.153469i \(-0.0490445\pi\)
\(198\) 2.05884 + 0.693703i 0.146315 + 0.0492993i
\(199\) 18.8681 + 4.15319i 1.33753 + 0.294412i 0.825424 0.564513i \(-0.190936\pi\)
0.512101 + 0.858925i \(0.328867\pi\)
\(200\) −1.13765 + 2.14583i −0.0804437 + 0.151733i
\(201\) 0.109729 + 0.669318i 0.00773970 + 0.0472101i
\(202\) 2.96497 3.49063i 0.208615 0.245600i
\(203\) −13.7031 16.1325i −0.961769 1.13228i
\(204\) 0.795540 4.85258i 0.0556989 0.339748i
\(205\) −1.00103 0.760966i −0.0699153 0.0531482i
\(206\) 3.49917 5.16089i 0.243799 0.359576i
\(207\) −2.20641 + 3.25421i −0.153356 + 0.226184i
\(208\) 3.49853 + 2.65951i 0.242579 + 0.184404i
\(209\) 2.33710 14.2557i 0.161660 0.986084i
\(210\) −3.27785 3.85898i −0.226193 0.266295i
\(211\) 2.43481 2.86648i 0.167620 0.197337i −0.671939 0.740607i \(-0.734538\pi\)
0.839558 + 0.543270i \(0.182814\pi\)
\(212\) 0.193507 + 1.18034i 0.0132901 + 0.0810663i
\(213\) −5.17629 + 9.76352i −0.354673 + 0.668985i
\(214\) 6.05046 + 1.33181i 0.413601 + 0.0910404i
\(215\) −27.6189 9.30590i −1.88360 0.634657i
\(216\) −0.136752 2.52223i −0.00930476 0.171616i
\(217\) 2.97302 2.26003i 0.201822 0.153421i
\(218\) 1.37607 + 2.59555i 0.0931993 + 0.175793i
\(219\) 2.64321 + 9.51997i 0.178611 + 0.643300i
\(220\) 7.77814 + 7.36784i 0.524402 + 0.496740i
\(221\) −4.93854 12.3948i −0.332202 0.833765i
\(222\) −8.04626 + 2.71110i −0.540030 + 0.181957i
\(223\) −27.8140 + 3.02495i −1.86256 + 0.202566i −0.969116 0.246605i \(-0.920685\pi\)
−0.893446 + 0.449170i \(0.851720\pi\)
\(224\) 15.1354 + 7.00236i 1.01127 + 0.467865i
\(225\) −0.698061 + 0.661239i −0.0465374 + 0.0440826i
\(226\) −1.95919 1.17881i −0.130323 0.0784130i
\(227\) 1.51457 + 0.164719i 0.100525 + 0.0109328i 0.158243 0.987400i \(-0.449417\pi\)
−0.0577180 + 0.998333i \(0.518382\pi\)
\(228\) −6.94923 + 1.52964i −0.460224 + 0.101303i
\(229\) 7.27367 26.1974i 0.480658 1.73117i −0.182978 0.983117i \(-0.558574\pi\)
0.663636 0.748056i \(-0.269013\pi\)
\(230\) 5.98742 3.60251i 0.394799 0.237542i
\(231\) −7.71711 + 3.57032i −0.507749 + 0.234910i
\(232\) −6.94655 + 17.4345i −0.456063 + 1.14463i
\(233\) −1.26999 + 23.4236i −0.0831999 + 1.53453i 0.597440 + 0.801913i \(0.296184\pi\)
−0.680640 + 0.732618i \(0.738298\pi\)
\(234\) −1.62948 2.40330i −0.106522 0.157108i
\(235\) 21.6090 1.40962
\(236\) 7.30935 8.60778i 0.475798 0.560319i
\(237\) −11.3550 −0.737589
\(238\) −3.89244 5.74092i −0.252309 0.372129i
\(239\) 0.716750 13.2197i 0.0463627 0.855110i −0.879185 0.476480i \(-0.841913\pi\)
0.925548 0.378630i \(-0.123605\pi\)
\(240\) 0.995628 2.49884i 0.0642675 0.161299i
\(241\) 2.97400 1.37592i 0.191572 0.0886308i −0.321758 0.946822i \(-0.604274\pi\)
0.513330 + 0.858191i \(0.328412\pi\)
\(242\) 1.30457 0.784931i 0.0838607 0.0504573i
\(243\) 0.267528 0.963550i 0.0171620 0.0618118i
\(244\) −3.62446 + 0.797805i −0.232032 + 0.0510742i
\(245\) 2.70905 + 0.294627i 0.173075 + 0.0188230i
\(246\) −0.321209 0.193265i −0.0204796 0.0123221i
\(247\) −14.0168 + 13.2774i −0.891866 + 0.844820i
\(248\) −3.00515 1.39033i −0.190827 0.0882861i
\(249\) 0.219452 0.0238669i 0.0139072 0.00151250i
\(250\) −6.80173 + 2.29177i −0.430179 + 0.144944i
\(251\) 2.70409 + 6.78676i 0.170681 + 0.428377i 0.989288 0.145977i \(-0.0466326\pi\)
−0.818607 + 0.574354i \(0.805253\pi\)
\(252\) 3.04068 + 2.88028i 0.191545 + 0.181441i
\(253\) −3.13941 11.3071i −0.197373 0.710873i
\(254\) 5.20791 + 9.82316i 0.326773 + 0.616360i
\(255\) −6.50145 + 4.94228i −0.407137 + 0.309497i
\(256\) −0.625143 11.5301i −0.0390715 0.720631i
\(257\) −3.30786 1.11455i −0.206339 0.0695235i 0.214234 0.976782i \(-0.431274\pi\)
−0.420573 + 0.907259i \(0.638171\pi\)
\(258\) −8.48551 1.86780i −0.528285 0.116284i
\(259\) 15.5657 29.3600i 0.967206 1.82434i
\(260\) −2.31654 14.1303i −0.143666 0.876321i
\(261\) −4.81001 + 5.66278i −0.297732 + 0.350517i
\(262\) 6.98116 + 8.21885i 0.431297 + 0.507762i
\(263\) 2.84874 17.3766i 0.175661 1.07148i −0.740908 0.671607i \(-0.765604\pi\)
0.916569 0.399877i \(-0.130947\pi\)
\(264\) 6.00186 + 4.56249i 0.369389 + 0.280802i
\(265\) 1.11478 1.64418i 0.0684805 0.101001i
\(266\) −5.63250 + 8.30732i −0.345351 + 0.509354i
\(267\) 1.49419 + 1.13586i 0.0914432 + 0.0695133i
\(268\) −0.161319 + 0.984003i −0.00985413 + 0.0601076i
\(269\) 12.0578 + 14.1956i 0.735178 + 0.865519i 0.994973 0.100145i \(-0.0319307\pi\)
−0.259795 + 0.965664i \(0.583655\pi\)
\(270\) −1.15058 + 1.35456i −0.0700219 + 0.0824361i
\(271\) −1.32777 8.09905i −0.0806564 0.491982i −0.996003 0.0893160i \(-0.971532\pi\)
0.915347 0.402666i \(-0.131916\pi\)
\(272\) 1.72603 3.25563i 0.104656 0.197402i
\(273\) 11.0985 + 2.44297i 0.671714 + 0.147855i
\(274\) −15.1431 5.10231i −0.914829 0.308242i
\(275\) −0.155370 2.86564i −0.00936919 0.172804i
\(276\) −4.60158 + 3.49803i −0.276982 + 0.210557i
\(277\) −3.81258 7.19128i −0.229076 0.432082i 0.742153 0.670230i \(-0.233805\pi\)
−0.971229 + 0.238148i \(0.923460\pi\)
\(278\) −4.08563 14.7151i −0.245040 0.882555i
\(279\) −0.951688 0.901487i −0.0569761 0.0539706i
\(280\) −6.50336 16.3222i −0.388650 0.975439i
\(281\) −21.6730 + 7.30248i −1.29290 + 0.435629i −0.879925 0.475112i \(-0.842407\pi\)
−0.412976 + 0.910742i \(0.635511\pi\)
\(282\) 6.40438 0.696518i 0.381375 0.0414770i
\(283\) 28.3613 + 13.1213i 1.68591 + 0.779983i 0.998560 + 0.0536528i \(0.0170864\pi\)
0.687346 + 0.726330i \(0.258776\pi\)
\(284\) −11.7948 + 11.1727i −0.699894 + 0.662975i
\(285\) 10.1259 + 6.09256i 0.599807 + 0.360892i
\(286\) 8.61561 + 0.937004i 0.509452 + 0.0554062i
\(287\) 1.43286 0.315397i 0.0845793 0.0186173i
\(288\) 1.56605 5.64042i 0.0922806 0.332365i
\(289\) 4.98042 2.99662i 0.292966 0.176272i
\(290\) 11.9844 5.54459i 0.703750 0.325589i
\(291\) −3.11457 + 7.81699i −0.182580 + 0.458240i
\(292\) −0.786384 + 14.5040i −0.0460196 + 0.848782i
\(293\) −8.28976 12.2265i −0.484293 0.714279i 0.504526 0.863396i \(-0.331667\pi\)
−0.988820 + 0.149117i \(0.952357\pi\)
\(294\) 0.812391 0.0473796
\(295\) −18.6442 + 2.03044i −1.08551 + 0.118217i
\(296\) −29.4641 −1.71257
\(297\) 1.67497 + 2.47039i 0.0971916 + 0.143347i
\(298\) 0.609831 11.2477i 0.0353266 0.651560i
\(299\) −5.80510 + 14.5697i −0.335718 + 0.842588i
\(300\) −1.28294 + 0.593551i −0.0740705 + 0.0342687i
\(301\) 29.1380 17.5318i 1.67949 1.01051i
\(302\) 1.65459 5.95929i 0.0952108 0.342918i
\(303\) 6.14482 1.35258i 0.353011 0.0777035i
\(304\) −5.30088 0.576506i −0.304027 0.0330649i
\(305\) 5.28130 + 3.17765i 0.302406 + 0.181952i
\(306\) −1.76756 + 1.67433i −0.101045 + 0.0957149i
\(307\) −6.63147 3.06804i −0.378478 0.175103i 0.221421 0.975178i \(-0.428930\pi\)
−0.599899 + 0.800076i \(0.704793\pi\)
\(308\) −12.4275 + 1.35157i −0.708121 + 0.0770128i
\(309\) 8.11770 2.73517i 0.461800 0.155599i
\(310\) 0.862337 + 2.16430i 0.0489774 + 0.122924i
\(311\) 4.14926 + 3.93039i 0.235283 + 0.222872i 0.796252 0.604965i \(-0.206813\pi\)
−0.560969 + 0.827837i \(0.689571\pi\)
\(312\) −2.69562 9.70876i −0.152610 0.549650i
\(313\) 0.236448 + 0.445989i 0.0133649 + 0.0252088i 0.890105 0.455756i \(-0.150631\pi\)
−0.876740 + 0.480965i \(0.840286\pi\)
\(314\) 5.06549 3.85068i 0.285862 0.217307i
\(315\) −0.376583 6.94567i −0.0212181 0.391344i
\(316\) −15.8198 5.33032i −0.889935 0.299854i
\(317\) 11.7693 + 2.59061i 0.661028 + 0.145503i 0.532800 0.846241i \(-0.321140\pi\)
0.128229 + 0.991745i \(0.459071\pi\)
\(318\) 0.277397 0.523226i 0.0155556 0.0293411i
\(319\) −3.58767 21.8838i −0.200871 1.22526i
\(320\) −3.25245 + 3.82908i −0.181817 + 0.214052i
\(321\) 5.51001 + 6.48689i 0.307539 + 0.362063i
\(322\) −1.31903 + 8.04574i −0.0735068 + 0.448372i
\(323\) 12.8878 + 9.79705i 0.717097 + 0.545123i
\(324\) 0.825033 1.21683i 0.0458352 0.0676018i
\(325\) −2.15245 + 3.17463i −0.119397 + 0.176097i
\(326\) 5.27733 + 4.01172i 0.292284 + 0.222189i
\(327\) −0.652940 + 3.98276i −0.0361077 + 0.220247i
\(328\) −0.842156 0.991463i −0.0465003 0.0547444i
\(329\) −16.3227 + 19.2166i −0.899902 + 1.05945i
\(330\) −0.858186 5.23470i −0.0472416 0.288161i
\(331\) −0.525713 + 0.991600i −0.0288958 + 0.0545033i −0.897540 0.440934i \(-0.854647\pi\)
0.868644 + 0.495437i \(0.164992\pi\)
\(332\) 0.316944 + 0.0697647i 0.0173946 + 0.00382884i
\(333\) −11.0540 3.72454i −0.605757 0.204103i
\(334\) −0.673951 12.4303i −0.0368770 0.680156i
\(335\) 1.31836 1.00219i 0.0720297 0.0547556i
\(336\) 1.47012 + 2.77294i 0.0802015 + 0.151276i
\(337\) 7.89716 + 28.4430i 0.430186 + 1.54939i 0.788048 + 0.615614i \(0.211092\pi\)
−0.357862 + 0.933774i \(0.616494\pi\)
\(338\) −1.53903 1.45785i −0.0837123 0.0792965i
\(339\) −1.16268 2.91810i −0.0631479 0.158489i
\(340\) −11.3778 + 3.83364i −0.617050 + 0.207908i
\(341\) 3.88962 0.423021i 0.210635 0.0229079i
\(342\) 3.19745 + 1.47930i 0.172898 + 0.0799912i
\(343\) 12.1695 11.5276i 0.657094 0.622432i
\(344\) −25.8351 15.5445i −1.39293 0.838101i
\(345\) 9.54343 + 1.03791i 0.513801 + 0.0558792i
\(346\) −2.20852 + 0.486133i −0.118731 + 0.0261347i
\(347\) 3.93411 14.1694i 0.211194 0.760652i −0.779717 0.626132i \(-0.784637\pi\)
0.990911 0.134520i \(-0.0429492\pi\)
\(348\) −9.35955 + 5.63145i −0.501724 + 0.301878i
\(349\) −13.7647 + 6.36822i −0.736807 + 0.340883i −0.752144 0.658999i \(-0.770980\pi\)
0.0153367 + 0.999882i \(0.495118\pi\)
\(350\) −0.738023 + 1.85230i −0.0394490 + 0.0990095i
\(351\) 0.215962 3.98318i 0.0115272 0.212606i
\(352\) 9.80492 + 14.4612i 0.522604 + 0.770783i
\(353\) 25.8432 1.37549 0.687746 0.725951i \(-0.258600\pi\)
0.687746 + 0.725951i \(0.258600\pi\)
\(354\) −5.46023 + 1.20273i −0.290208 + 0.0639241i
\(355\) 26.9819 1.43205
\(356\) 1.54851 + 2.28389i 0.0820710 + 0.121046i
\(357\) 0.515882 9.51488i 0.0273034 0.503581i
\(358\) 2.58811 6.49567i 0.136786 0.343307i
\(359\) −26.4393 + 12.2321i −1.39541 + 0.645587i −0.966242 0.257636i \(-0.917056\pi\)
−0.429171 + 0.903223i \(0.641194\pi\)
\(360\) −5.28457 + 3.17962i −0.278521 + 0.167581i
\(361\) 1.18403 4.26448i 0.0623172 0.224446i
\(362\) 8.93836 1.96748i 0.469790 0.103409i
\(363\) 2.07937 + 0.226145i 0.109138 + 0.0118695i
\(364\) 14.3157 + 8.61346i 0.750346 + 0.451468i
\(365\) 17.5135 16.5897i 0.916700 0.868344i
\(366\) 1.66767 + 0.771546i 0.0871705 + 0.0403294i
\(367\) 12.6379 1.37445i 0.659691 0.0717457i 0.227851 0.973696i \(-0.426830\pi\)
0.431840 + 0.901950i \(0.357865\pi\)
\(368\) −4.10471 + 1.38304i −0.213973 + 0.0720959i
\(369\) −0.190621 0.478422i −0.00992332 0.0249057i
\(370\) 15.0507 + 14.2568i 0.782450 + 0.741176i
\(371\) 0.620078 + 2.23332i 0.0321928 + 0.115948i
\(372\) −0.902712 1.70270i −0.0468035 0.0882807i
\(373\) −24.9793 + 18.9887i −1.29338 + 0.983199i −0.293750 + 0.955882i \(0.594903\pi\)
−0.999627 + 0.0273172i \(0.991304\pi\)
\(374\) −0.393414 7.25610i −0.0203430 0.375204i
\(375\) −9.34428 3.14845i −0.482536 0.162585i
\(376\) 21.8326 + 4.80572i 1.12593 + 0.247836i
\(377\) −13.8827 + 26.1856i −0.714996 + 1.34862i
\(378\) −0.335488 2.04638i −0.0172556 0.105255i
\(379\) 0.741748 0.873253i 0.0381010 0.0448560i −0.742781 0.669534i \(-0.766494\pi\)
0.780883 + 0.624678i \(0.214770\pi\)
\(380\) 11.2474 + 13.2415i 0.576981 + 0.679274i
\(381\) −2.47113 + 15.0732i −0.126600 + 0.772225i
\(382\) −8.59694 6.53523i −0.439858 0.334371i
\(383\) −16.2781 + 24.0084i −0.831771 + 1.22677i 0.139838 + 0.990174i \(0.455342\pi\)
−0.971608 + 0.236595i \(0.923968\pi\)
\(384\) 5.72962 8.45056i 0.292388 0.431241i
\(385\) 16.5278 + 12.5641i 0.842334 + 0.640325i
\(386\) −2.15352 + 13.1359i −0.109611 + 0.668599i
\(387\) −7.72756 9.09759i −0.392814 0.462456i
\(388\) −8.00870 + 9.42857i −0.406580 + 0.478663i
\(389\) 4.94099 + 30.1387i 0.250518 + 1.52809i 0.749806 + 0.661658i \(0.230147\pi\)
−0.499288 + 0.866436i \(0.666405\pi\)
\(390\) −3.32081 + 6.26371i −0.168156 + 0.317175i
\(391\) 12.8432 + 2.82700i 0.649508 + 0.142968i
\(392\) 2.67155 + 0.900151i 0.134934 + 0.0454645i
\(393\) 0.802047 + 14.7929i 0.0404579 + 0.746203i
\(394\) −1.62255 + 1.23343i −0.0817428 + 0.0621392i
\(395\) 12.9865 + 24.4951i 0.653421 + 1.23248i
\(396\) 1.17390 + 4.22802i 0.0589909 + 0.212466i
\(397\) −26.1219 24.7440i −1.31102 1.24186i −0.951101 0.308879i \(-0.900046\pi\)
−0.359918 0.932984i \(-0.617195\pi\)
\(398\) −5.20523 13.0641i −0.260915 0.654846i
\(399\) −13.0668 + 4.40272i −0.654159 + 0.220412i
\(400\) −1.05308 + 0.114529i −0.0526539 + 0.00572646i
\(401\) −3.73067 1.72599i −0.186301 0.0861919i 0.324521 0.945878i \(-0.394797\pi\)
−0.510822 + 0.859687i \(0.670659\pi\)
\(402\) 0.358426 0.339519i 0.0178767 0.0169337i
\(403\) −4.48060 2.69589i −0.223195 0.134292i
\(404\) 9.19589 + 1.00011i 0.457513 + 0.0497575i
\(405\) −2.38454 + 0.524877i −0.118489 + 0.0260813i
\(406\) −4.12191 + 14.8458i −0.204567 + 0.736784i
\(407\) 29.8318 17.9492i 1.47871 0.889708i
\(408\) −7.66784 + 3.54752i −0.379615 + 0.175629i
\(409\) −8.24178 + 20.6853i −0.407530 + 1.02282i 0.571771 + 0.820413i \(0.306257\pi\)
−0.979301 + 0.202410i \(0.935123\pi\)
\(410\) −0.0495528 + 0.913947i −0.00244724 + 0.0451366i
\(411\) −12.3197 18.1702i −0.607686 0.896269i
\(412\) 12.5935 0.620439
\(413\) 12.2776 18.1138i 0.604140 0.891321i
\(414\) 2.86189 0.140654
\(415\) −0.302468 0.446107i −0.0148476 0.0218985i
\(416\) 1.26419 23.3167i 0.0619822 1.14319i
\(417\) 7.76569 19.4904i 0.380288 0.954450i
\(418\) −9.54339 + 4.41524i −0.466782 + 0.215957i
\(419\) 24.3041 14.6233i 1.18734 0.714396i 0.221908 0.975068i \(-0.428772\pi\)
0.965427 + 0.260672i \(0.0839440\pi\)
\(420\) 2.73581 9.85348i 0.133494 0.480801i
\(421\) 0.850919 0.187301i 0.0414713 0.00912851i −0.194186 0.980965i \(-0.562207\pi\)
0.235658 + 0.971836i \(0.424276\pi\)
\(422\) −2.72159 0.295991i −0.132485 0.0144086i
\(423\) 7.58342 + 4.56279i 0.368719 + 0.221851i
\(424\) 1.49197 1.41327i 0.0724565 0.0686344i
\(425\) 2.91884 + 1.35040i 0.141584 + 0.0655040i
\(426\) 7.99676 0.869700i 0.387444 0.0421371i
\(427\) −6.81516 + 2.29630i −0.329809 + 0.111126i
\(428\) 4.63145 + 11.6241i 0.223869 + 0.561870i
\(429\) 8.64371 + 8.18775i 0.417322 + 0.395308i
\(430\) 5.67546 + 20.4411i 0.273695 + 0.985759i
\(431\) 7.40998 + 13.9767i 0.356926 + 0.673234i 0.995337 0.0964617i \(-0.0307525\pi\)
−0.638410 + 0.769696i \(0.720408\pi\)
\(432\) 0.877038 0.666707i 0.0421965 0.0320769i
\(433\) −0.683517 12.6067i −0.0328477 0.605841i −0.967901 0.251333i \(-0.919131\pi\)
0.935053 0.354508i \(-0.115352\pi\)
\(434\) −2.57606 0.867977i −0.123655 0.0416642i
\(435\) 17.7169 + 3.89978i 0.849459 + 0.186980i
\(436\) −2.77927 + 5.24227i −0.133103 + 0.251059i
\(437\) −3.07862 18.7788i −0.147270 0.898310i
\(438\) 4.65584 5.48128i 0.222465 0.261906i
\(439\) −18.9879 22.3543i −0.906245 1.06691i −0.997470 0.0710835i \(-0.977354\pi\)
0.0912256 0.995830i \(-0.470922\pi\)
\(440\) 2.97804 18.1652i 0.141973 0.865994i
\(441\) 0.888496 + 0.675417i 0.0423094 + 0.0321627i
\(442\) −5.45024 + 8.03851i −0.259242 + 0.382353i
\(443\) 13.5396 19.9693i 0.643283 0.948772i −0.356611 0.934253i \(-0.616068\pi\)
0.999895 0.0145192i \(-0.00462178\pi\)
\(444\) −13.6521 10.3780i −0.647899 0.492520i
\(445\) 0.741399 4.52233i 0.0351457 0.214379i
\(446\) 13.1842 + 15.5216i 0.624290 + 0.734971i
\(447\) 10.0182 11.7943i 0.473845 0.557853i
\(448\) −0.948356 5.78472i −0.0448056 0.273302i
\(449\) 14.3484 27.0639i 0.677141 1.27722i −0.271977 0.962304i \(-0.587677\pi\)
0.949118 0.314920i \(-0.101978\pi\)
\(450\) 0.683532 + 0.150457i 0.0322220 + 0.00709260i
\(451\) 1.45665 + 0.490802i 0.0685909 + 0.0231110i
\(452\) −0.250016 4.61128i −0.0117598 0.216896i
\(453\) 6.76411 5.14194i 0.317805 0.241589i
\(454\) −0.519446 0.979779i −0.0243788 0.0459833i
\(455\) −7.42315 26.7358i −0.348003 1.25339i
\(456\) 8.87572 + 8.40753i 0.415644 + 0.393719i
\(457\) −6.74627 16.9319i −0.315577 0.792040i −0.998126 0.0611989i \(-0.980508\pi\)
0.682548 0.730841i \(-0.260872\pi\)
\(458\) −18.7546 + 6.31915i −0.876343 + 0.295274i
\(459\) −3.32518 + 0.361635i −0.155206 + 0.0168797i
\(460\) 12.8087 + 5.92592i 0.597208 + 0.276298i
\(461\) −26.7721 + 25.3598i −1.24690 + 1.18113i −0.271078 + 0.962557i \(0.587380\pi\)
−0.975822 + 0.218569i \(0.929861\pi\)
\(462\) 5.30340 + 3.19095i 0.246736 + 0.148456i
\(463\) −11.5623 1.25748i −0.537347 0.0584400i −0.164578 0.986364i \(-0.552626\pi\)
−0.372769 + 0.927924i \(0.621592\pi\)
\(464\) −7.99398 + 1.75961i −0.371111 + 0.0816877i
\(465\) −0.856267 + 3.08400i −0.0397084 + 0.143017i
\(466\) 14.6310 8.80316i 0.677766 0.407798i
\(467\) −4.97126 + 2.29995i −0.230043 + 0.106429i −0.531525 0.847043i \(-0.678381\pi\)
0.301482 + 0.953472i \(0.402519\pi\)
\(468\) 2.17067 5.44798i 0.100339 0.251833i
\(469\) −0.104610 + 1.92942i −0.00483045 + 0.0890925i
\(470\) −8.82707 13.0190i −0.407162 0.600520i
\(471\) 8.74146 0.402785
\(472\) −19.2887 2.09492i −0.887833 0.0964263i
\(473\) 35.6269 1.63813
\(474\) 4.63842 + 6.84115i 0.213049 + 0.314224i
\(475\) 0.251951 4.64696i 0.0115603 0.213217i
\(476\) 5.18524 13.0140i 0.237665 0.596494i
\(477\) 0.738391 0.341616i 0.0338086 0.0156415i
\(478\) −8.25734 + 4.96828i −0.377682 + 0.227244i
\(479\) −8.05136 + 28.9984i −0.367876 + 1.32497i 0.515735 + 0.856748i \(0.327519\pi\)
−0.883611 + 0.468222i \(0.844895\pi\)
\(480\) −13.9586 + 3.07252i −0.637120 + 0.140241i
\(481\) −46.2578 5.03084i −2.10917 0.229386i
\(482\) −2.04381 1.22972i −0.0930930 0.0560122i
\(483\) −8.13179 + 7.70284i −0.370009 + 0.350491i
\(484\) 2.79081 + 1.29117i 0.126855 + 0.0586894i
\(485\) 20.4249 2.22134i 0.927447 0.100866i
\(486\) −0.689799 + 0.232421i −0.0312899 + 0.0105428i
\(487\) 4.63692 + 11.6378i 0.210119 + 0.527359i 0.995829 0.0912356i \(-0.0290816\pi\)
−0.785710 + 0.618595i \(0.787702\pi\)
\(488\) 4.62925 + 4.38506i 0.209556 + 0.198502i
\(489\) 2.43639 + 8.77508i 0.110177 + 0.396823i
\(490\) −0.929113 1.75249i −0.0419731 0.0791696i
\(491\) −14.9800 + 11.3875i −0.676038 + 0.513911i −0.885933 0.463813i \(-0.846481\pi\)
0.209895 + 0.977724i \(0.432688\pi\)
\(492\) −0.0409902 0.756019i −0.00184798 0.0340840i
\(493\) 23.5505 + 7.93508i 1.06066 + 0.357378i
\(494\) 13.7250 + 3.02111i 0.617518 + 0.135926i
\(495\) 3.41352 6.43858i 0.153426 0.289393i
\(496\) −0.233639 1.42514i −0.0104907 0.0639905i
\(497\) −20.3812 + 23.9946i −0.914223 + 1.07631i
\(498\) −0.104023 0.122466i −0.00466139 0.00548781i
\(499\) 3.00863 18.3518i 0.134685 0.821540i −0.829928 0.557870i \(-0.811619\pi\)
0.964613 0.263670i \(-0.0849330\pi\)
\(500\) −11.5405 8.77285i −0.516106 0.392334i
\(501\) 9.59739 14.1551i 0.428780 0.632403i
\(502\) 2.98428 4.40148i 0.133195 0.196448i
\(503\) −4.34455 3.30264i −0.193714 0.147257i 0.503822 0.863808i \(-0.331927\pi\)
−0.697535 + 0.716550i \(0.745720\pi\)
\(504\) 1.16419 7.10128i 0.0518574 0.316316i
\(505\) −9.94547 11.7087i −0.442568 0.521031i
\(506\) −5.52987 + 6.51027i −0.245833 + 0.289417i
\(507\) −0.471162 2.87396i −0.0209250 0.127637i
\(508\) −10.5185 + 19.8400i −0.466683 + 0.880258i
\(509\) 7.99274 + 1.75933i 0.354272 + 0.0779812i 0.388541 0.921431i \(-0.372979\pi\)
−0.0342689 + 0.999413i \(0.510910\pi\)
\(510\) 5.63338 + 1.89811i 0.249450 + 0.0840496i
\(511\) 1.52385 + 28.1058i 0.0674114 + 1.24333i
\(512\) 9.56468 7.27088i 0.422703 0.321331i
\(513\) 2.26711 + 4.27622i 0.100095 + 0.188800i
\(514\) 0.679737 + 2.44819i 0.0299819 + 0.107985i
\(515\) −15.1844 14.3834i −0.669102 0.633808i
\(516\) −6.49541 16.3022i −0.285944 0.717667i
\(517\) −25.0326 + 8.43446i −1.10093 + 0.370947i
\(518\) −24.0472 + 2.61529i −1.05657 + 0.114909i
\(519\) −2.81959 1.30448i −0.123766 0.0572603i
\(520\) −17.8608 + 16.9187i −0.783250 + 0.741934i
\(521\) −8.90004 5.35498i −0.389918 0.234606i 0.307073 0.951686i \(-0.400650\pi\)
−0.696991 + 0.717080i \(0.745478\pi\)
\(522\) 5.37654 + 0.584734i 0.235325 + 0.0255931i
\(523\) 0.420023 0.0924541i 0.0183663 0.00404274i −0.205778 0.978599i \(-0.565972\pi\)
0.224144 + 0.974556i \(0.428041\pi\)
\(524\) −5.82672 + 20.9859i −0.254541 + 0.916775i
\(525\) −2.34715 + 1.41223i −0.102438 + 0.0616349i
\(526\) −11.6327 + 5.38184i −0.507208 + 0.234659i
\(527\) −1.62290 + 4.07318i −0.0706948 + 0.177431i
\(528\) −0.178018 + 3.28334i −0.00774723 + 0.142889i
\(529\) 4.23238 + 6.24229i 0.184016 + 0.271404i
\(530\) −1.44596 −0.0628084
\(531\) −6.97169 3.22421i −0.302546 0.139919i
\(532\) −20.2714 −0.878877
\(533\) −1.15287 1.70036i −0.0499364 0.0736507i
\(534\) 0.0739650 1.36420i 0.00320078 0.0590349i
\(535\) 7.69186 19.3051i 0.332548 0.834633i
\(536\) 1.55488 0.719365i 0.0671606 0.0310718i
\(537\) 8.23104 4.95245i 0.355195 0.213714i
\(538\) 3.62701 13.0633i 0.156371 0.563199i
\(539\) −3.25325 + 0.716094i −0.140127 + 0.0308443i
\(540\) −3.56853 0.388101i −0.153565 0.0167012i
\(541\) 1.82855 + 1.10020i 0.0786155 + 0.0473014i 0.554319 0.832304i \(-0.312979\pi\)
−0.475703 + 0.879606i \(0.657806\pi\)
\(542\) −4.33711 + 4.10833i −0.186295 + 0.176468i
\(543\) 11.4115 + 5.27951i 0.489713 + 0.226565i
\(544\) −19.4649 + 2.11693i −0.834550 + 0.0907628i
\(545\) 9.33837 3.14646i 0.400012 0.134780i
\(546\) −3.06180 7.68454i −0.131033 0.328868i
\(547\) 5.50343 + 5.21313i 0.235310 + 0.222897i 0.796264 0.604950i \(-0.206807\pi\)
−0.560954 + 0.827847i \(0.689565\pi\)
\(548\) −8.63427 31.0978i −0.368838 1.32843i
\(549\) 1.18244 + 2.23032i 0.0504653 + 0.0951876i
\(550\) −1.66301 + 1.26419i −0.0709112 + 0.0539053i
\(551\) −1.94688 35.9081i −0.0829399 1.52974i
\(552\) 9.41133 + 3.17105i 0.400573 + 0.134969i
\(553\) −31.5927 6.95409i −1.34346 0.295718i
\(554\) −2.77519 + 5.23456i −0.117906 + 0.222395i
\(555\) 4.60766 + 28.1055i 0.195584 + 1.19301i
\(556\) 19.9684 23.5086i 0.846850 0.996988i
\(557\) −22.9955 27.0724i −0.974350 1.14709i −0.989106 0.147202i \(-0.952973\pi\)
0.0147569 0.999891i \(-0.495303\pi\)
\(558\) −0.154371 + 0.941619i −0.00653503 + 0.0398619i
\(559\) −37.9061 28.8155i −1.60326 1.21877i
\(560\) 4.30045 6.34269i 0.181727 0.268027i
\(561\) 5.60241 8.26293i 0.236534 0.348861i
\(562\) 13.2528 + 10.0745i 0.559034 + 0.424967i
\(563\) −2.60408 + 15.8842i −0.109749 + 0.669438i 0.873452 + 0.486910i \(0.161876\pi\)
−0.983201 + 0.182528i \(0.941572\pi\)
\(564\) 8.42334 + 9.91672i 0.354686 + 0.417569i
\(565\) −4.96520 + 5.84549i −0.208888 + 0.245921i
\(566\) −3.68000 22.4470i −0.154682 0.943517i
\(567\) 1.33444 2.51701i 0.0560410 0.105705i
\(568\) 27.2610 + 6.00061i 1.14385 + 0.251780i
\(569\) −23.8970 8.05185i −1.00182 0.337551i −0.229858 0.973224i \(-0.573826\pi\)
−0.771958 + 0.635673i \(0.780723\pi\)
\(570\) −0.465703 8.58938i −0.0195061 0.359770i
\(571\) −8.83092 + 6.71309i −0.369563 + 0.280934i −0.773428 0.633884i \(-0.781460\pi\)
0.403865 + 0.914818i \(0.367666\pi\)
\(572\) 8.19888 + 15.4647i 0.342812 + 0.646613i
\(573\) −3.96896 14.2949i −0.165806 0.597178i
\(574\) −0.775330 0.734432i −0.0323617 0.0306546i
\(575\) −1.39927 3.51191i −0.0583537 0.146457i
\(576\) −1.94992 + 0.657006i −0.0812468 + 0.0273752i
\(577\) 20.7747 2.25939i 0.864864 0.0940596i 0.335077 0.942191i \(-0.391238\pi\)
0.529786 + 0.848131i \(0.322272\pi\)
\(578\) −3.83985 1.77650i −0.159716 0.0738927i
\(579\) −13.2764 + 12.5760i −0.551747 + 0.522642i
\(580\) 22.8525 + 13.7499i 0.948898 + 0.570933i
\(581\) 0.625191 + 0.0679936i 0.0259373 + 0.00282085i
\(582\) 5.98183 1.31670i 0.247955 0.0545790i
\(583\) −0.649640 + 2.33979i −0.0269053 + 0.0969042i
\(584\) 21.3842 12.8664i 0.884883 0.532416i
\(585\) −8.83951 + 4.08959i −0.365469 + 0.169084i
\(586\) −3.97990 + 9.98879i −0.164408 + 0.412633i
\(587\) 2.19808 40.5413i 0.0907247 1.67332i −0.499680 0.866210i \(-0.666549\pi\)
0.590404 0.807108i \(-0.298968\pi\)
\(588\) 0.920796 + 1.35807i 0.0379730 + 0.0560060i
\(589\) 6.34466 0.261427
\(590\) 8.83927 + 10.4033i 0.363907 + 0.428297i
\(591\) −2.80001 −0.115177
\(592\) −7.21163 10.6364i −0.296396 0.437152i
\(593\) −0.472775 + 8.71983i −0.0194146 + 0.358080i 0.972644 + 0.232302i \(0.0746257\pi\)
−0.992058 + 0.125779i \(0.959857\pi\)
\(594\) 0.804149 2.01826i 0.0329946 0.0828103i
\(595\) −21.1155 + 9.76909i −0.865653 + 0.400494i
\(596\) 19.4939 11.7291i 0.798501 0.480442i
\(597\) 5.16860 18.6156i 0.211537 0.761886i
\(598\) 11.1492 2.45413i 0.455926 0.100357i
\(599\) 12.3595 + 1.34418i 0.504997 + 0.0549218i 0.357072 0.934077i \(-0.383775\pi\)
0.147925 + 0.988999i \(0.452741\pi\)
\(600\) 2.08109 + 1.25215i 0.0849601 + 0.0511188i
\(601\) −24.3411 + 23.0571i −0.992895 + 0.940520i −0.998230 0.0594653i \(-0.981060\pi\)
0.00533500 + 0.999986i \(0.498302\pi\)
\(602\) −22.4651 10.3935i −0.915608 0.423605i
\(603\) 0.674277 0.0733321i 0.0274587 0.00298631i
\(604\) 11.8375 3.98852i 0.481661 0.162290i
\(605\) −1.89028 4.74425i −0.0768509 0.192881i
\(606\) −3.32499 3.14960i −0.135069 0.127944i
\(607\) 6.09510 + 21.9526i 0.247392 + 0.891027i 0.978065 + 0.208299i \(0.0667927\pi\)
−0.730673 + 0.682728i \(0.760793\pi\)
\(608\) 13.2712 + 25.0321i 0.538217 + 1.01518i
\(609\) −16.8508 + 12.8096i −0.682827 + 0.519072i
\(610\) −0.242893 4.47990i −0.00983446 0.181386i
\(611\) 33.4559 + 11.2726i 1.35348 + 0.456041i
\(612\) −4.80239 1.05709i −0.194125 0.0427302i
\(613\) 2.72764 5.14488i 0.110168 0.207800i −0.822297 0.569058i \(-0.807308\pi\)
0.932466 + 0.361258i \(0.117653\pi\)
\(614\) 0.860460 + 5.24857i 0.0347253 + 0.211815i
\(615\) −0.814045 + 0.958368i −0.0328255 + 0.0386451i
\(616\) 13.9046 + 16.3698i 0.560232 + 0.659556i
\(617\) 6.13540 37.4243i 0.247002 1.50665i −0.513940 0.857826i \(-0.671815\pi\)
0.760942 0.648820i \(-0.224737\pi\)
\(618\) −4.96388 3.77344i −0.199676 0.151790i
\(619\) 5.76034 8.49587i 0.231528 0.341478i −0.694123 0.719856i \(-0.744208\pi\)
0.925651 + 0.378378i \(0.123518\pi\)
\(620\) −2.64065 + 3.89467i −0.106051 + 0.156414i
\(621\) 3.12999 + 2.37936i 0.125602 + 0.0954803i
\(622\) 0.673039 4.10536i 0.0269864 0.164610i
\(623\) 3.46162 + 4.07534i 0.138687 + 0.163275i
\(624\) 2.84502 3.34941i 0.113892 0.134084i
\(625\) 4.67276 + 28.5026i 0.186911 + 1.14010i
\(626\) 0.172111 0.324637i 0.00687896 0.0129751i
\(627\) −14.1082 3.10545i −0.563428 0.124020i
\(628\) 12.1786 + 4.10345i 0.485979 + 0.163745i
\(629\) 2.11227 + 38.9585i 0.0842216 + 1.55338i
\(630\) −4.03078 + 3.06412i −0.160590 + 0.122077i
\(631\) −1.59742 3.01305i −0.0635922 0.119948i 0.849678 0.527302i \(-0.176796\pi\)
−0.913270 + 0.407354i \(0.866451\pi\)
\(632\) 7.67328 + 27.6367i 0.305227 + 1.09933i
\(633\) −2.73046 2.58643i −0.108526 0.102801i
\(634\) −3.24684 8.14896i −0.128949 0.323637i
\(635\) 35.3422 11.9082i 1.40251 0.472561i
\(636\) 1.18909 0.129321i 0.0471504 0.00512792i
\(637\) 4.04056 + 1.86936i 0.160093 + 0.0740668i
\(638\) −11.7190 + 11.1008i −0.463958 + 0.439484i
\(639\) 9.46896 + 5.69728i 0.374586 + 0.225381i
\(640\) −24.7824 2.69525i −0.979610 0.106539i
\(641\) 25.2585 5.55981i 0.997649 0.219599i 0.314010 0.949420i \(-0.398327\pi\)
0.683639 + 0.729820i \(0.260396\pi\)
\(642\) 1.65742 5.96948i 0.0654131 0.235597i
\(643\) 35.8500 21.5703i 1.41379 0.850648i 0.415526 0.909581i \(-0.363598\pi\)
0.998262 + 0.0589334i \(0.0187700\pi\)
\(644\) −14.9451 + 6.91433i −0.588919 + 0.272463i
\(645\) −10.7875 + 27.0746i −0.424758 + 1.06606i
\(646\) 0.637967 11.7666i 0.0251005 0.462951i
\(647\) −9.42861 13.9062i −0.370677 0.546707i 0.595909 0.803052i \(-0.296792\pi\)
−0.966585 + 0.256345i \(0.917482\pi\)
\(648\) −2.52594 −0.0992282
\(649\) 20.8055 9.62935i 0.816688 0.377985i
\(650\) 2.79190 0.109507
\(651\) −2.09576 3.09101i −0.0821393 0.121146i
\(652\) −0.724853 + 13.3691i −0.0283874 + 0.523576i
\(653\) −13.9878 + 35.1066i −0.547383 + 1.37383i 0.351726 + 0.936103i \(0.385595\pi\)
−0.899109 + 0.437725i \(0.855784\pi\)
\(654\) 2.66624 1.23353i 0.104258 0.0482350i
\(655\) 30.9940 18.6485i 1.21104 0.728656i
\(656\) 0.151786 0.546683i 0.00592623 0.0213444i
\(657\) 9.64911 2.12393i 0.376447 0.0828624i
\(658\) 18.2453 + 1.98429i 0.711274 + 0.0773557i
\(659\) −18.1817 10.9396i −0.708258 0.426145i 0.115334 0.993327i \(-0.463206\pi\)
−0.823593 + 0.567182i \(0.808034\pi\)
\(660\) 7.77814 7.36784i 0.302764 0.286793i
\(661\) 6.20319 + 2.86990i 0.241276 + 0.111626i 0.536801 0.843709i \(-0.319633\pi\)
−0.295525 + 0.955335i \(0.595495\pi\)
\(662\) 0.812165 0.0883282i 0.0315657 0.00343297i
\(663\) −12.6440 + 4.26026i −0.491052 + 0.165455i
\(664\) −0.206386 0.517989i −0.00800932 0.0201019i
\(665\) 24.4418 + 23.1525i 0.947811 + 0.897814i
\(666\) 2.27151 + 8.18124i 0.0880192 + 0.317016i
\(667\) −13.6832 25.8092i −0.529814 0.999335i
\(668\) 20.0158 15.2156i 0.774435 0.588710i
\(669\) 1.51470 + 27.9370i 0.0585616 + 1.08011i
\(670\) −1.14233 0.384897i −0.0441322 0.0148699i
\(671\) −7.35833 1.61969i −0.284065 0.0625274i
\(672\) 7.81151 14.7341i 0.301335 0.568379i
\(673\) 3.57454 + 21.8037i 0.137788 + 0.840471i 0.961771 + 0.273856i \(0.0882991\pi\)
−0.823983 + 0.566615i \(0.808253\pi\)
\(674\) 13.9103 16.3765i 0.535806 0.630800i
\(675\) 0.622477 + 0.732836i 0.0239591 + 0.0282069i
\(676\) 0.692682 4.22518i 0.0266416 0.162507i
\(677\) 12.4034 + 9.42879i 0.476700 + 0.362378i 0.815764 0.578386i \(-0.196317\pi\)
−0.339064 + 0.940763i \(0.610110\pi\)
\(678\) −1.28315 + 1.89250i −0.0492789 + 0.0726809i
\(679\) −13.4529 + 19.8415i −0.516274 + 0.761447i
\(680\) 16.4223 + 12.4839i 0.629765 + 0.478735i
\(681\) 0.246475 1.50343i 0.00944493 0.0576115i
\(682\) −1.84373 2.17061i −0.0706000 0.0831168i
\(683\) −7.36851 + 8.67488i −0.281948 + 0.331935i −0.884846 0.465883i \(-0.845737\pi\)
0.602898 + 0.797818i \(0.294013\pi\)
\(684\) 1.15117 + 7.02185i 0.0440163 + 0.268487i
\(685\) −25.1070 + 47.3569i −0.959291 + 1.80941i
\(686\) −11.9163 2.62297i −0.454965 0.100145i
\(687\) −25.7652 8.68130i −0.983003 0.331212i
\(688\) −0.711939 13.1309i −0.0271424 0.500613i
\(689\) 2.58365 1.96404i 0.0984294 0.0748240i
\(690\) −3.27307 6.17367i −0.124604 0.235028i
\(691\) 3.54578 + 12.7708i 0.134888 + 0.485822i 0.999872 0.0159763i \(-0.00508562\pi\)
−0.864984 + 0.501799i \(0.832672\pi\)
\(692\) −3.31589 3.14098i −0.126051 0.119402i
\(693\) 3.14728 + 7.89909i 0.119555 + 0.300062i
\(694\) −10.1438 + 3.41783i −0.385052 + 0.129739i
\(695\) −50.9262 + 5.53856i −1.93174 + 0.210090i
\(696\) 17.0329 + 7.88025i 0.645629 + 0.298700i
\(697\) −1.25057 + 1.18460i −0.0473687 + 0.0448701i
\(698\) 9.45944 + 5.69156i 0.358045 + 0.215429i
\(699\) 23.3205 + 2.53626i 0.882062 + 0.0959300i
\(700\) −3.93298 + 0.865715i −0.148653 + 0.0327210i
\(701\) −6.67226 + 24.0313i −0.252008 + 0.907650i 0.723979 + 0.689822i \(0.242311\pi\)
−0.975987 + 0.217828i \(0.930103\pi\)
\(702\) −2.48799 + 1.49697i −0.0939032 + 0.0564997i
\(703\) 51.2391 23.7057i 1.93252 0.894078i
\(704\) 2.27317 5.70522i 0.0856732 0.215024i
\(705\) 1.16989 21.5773i 0.0440606 0.812650i
\(706\) −10.5567 15.5699i −0.397305 0.585982i
\(707\) 17.9249 0.674134
\(708\) −8.19943 7.76464i −0.308154 0.291813i
\(709\) −42.1913 −1.58453 −0.792265 0.610178i \(-0.791098\pi\)
−0.792265 + 0.610178i \(0.791098\pi\)
\(710\) −11.0218 16.2560i −0.413642 0.610076i
\(711\) −0.614749 + 11.3384i −0.0230549 + 0.425223i
\(712\) 1.75481 4.40424i 0.0657642 0.165056i
\(713\) 4.67760 2.16409i 0.175177 0.0810457i
\(714\) −5.94323 + 3.57592i −0.222420 + 0.133826i
\(715\) 7.77704 28.0104i 0.290845 1.04753i
\(716\) 13.7923 3.03591i 0.515441 0.113457i
\(717\) −13.1615 1.43140i −0.491525 0.0534565i
\(718\) 18.1698 + 10.9324i 0.678089 + 0.407993i
\(719\) −16.3493 + 15.4869i −0.609726 + 0.577563i −0.928991 0.370102i \(-0.879323\pi\)
0.319265 + 0.947666i \(0.396564\pi\)
\(720\) −2.44127 1.12945i −0.0909808 0.0420922i
\(721\) 24.2607 2.63851i 0.903516 0.0982633i
\(722\) −3.05291 + 1.02865i −0.113618 + 0.0382822i
\(723\) −1.21289 3.04413i −0.0451080 0.113213i
\(724\) 13.4201 + 12.7122i 0.498755 + 0.472446i
\(725\) −1.91122 6.88361i −0.0709811 0.255651i
\(726\) −0.713152 1.34515i −0.0264676 0.0499231i
\(727\) 14.1494 10.7561i 0.524771 0.398921i −0.308974 0.951071i \(-0.599985\pi\)
0.833745 + 0.552150i \(0.186192\pi\)
\(728\) −1.55407 28.6632i −0.0575978 1.06233i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) −17.1490 3.77478i −0.634713 0.139711i
\(731\) −18.7013 + 35.2744i −0.691692 + 1.30467i
\(732\) 0.600410 + 3.66234i 0.0221918 + 0.135364i
\(733\) 5.07996 5.98059i 0.187633 0.220898i −0.660300 0.751002i \(-0.729571\pi\)
0.847933 + 0.530103i \(0.177847\pi\)
\(734\) −5.99051 7.05257i −0.221114 0.260315i
\(735\) 0.440860 2.68913i 0.0162614 0.0991899i
\(736\) 18.3223 + 13.9282i 0.675369 + 0.513402i
\(737\) −1.13605 + 1.67555i −0.0418471 + 0.0617198i
\(738\) −0.210372 + 0.310275i −0.00774389 + 0.0114214i
\(739\) −1.15393 0.877198i −0.0424481 0.0322682i 0.583735 0.811944i \(-0.301591\pi\)
−0.626183 + 0.779676i \(0.715384\pi\)
\(740\) −6.77398 + 41.3195i −0.249016 + 1.51893i
\(741\) 12.4991 + 14.7150i 0.459165 + 0.540570i
\(742\) 1.09223 1.28587i 0.0400970 0.0472058i
\(743\) 5.01007 + 30.5601i 0.183802 + 1.12114i 0.904051 + 0.427425i \(0.140579\pi\)
−0.720249 + 0.693715i \(0.755973\pi\)
\(744\) −1.55099 + 2.92547i −0.0568620 + 0.107253i
\(745\) −36.9004 8.12239i −1.35193 0.297581i
\(746\) 21.6440 + 7.29273i 0.792445 + 0.267006i
\(747\) −0.0119510 0.220422i −0.000437263 0.00806483i
\(748\) 11.6841 8.88201i 0.427213 0.324759i
\(749\) 11.3576 + 21.4227i 0.414998 + 0.782769i
\(750\) 1.92017 + 6.91582i 0.0701147 + 0.252530i
\(751\) 5.33747 + 5.05592i 0.194767 + 0.184493i 0.778868 0.627188i \(-0.215794\pi\)
−0.584101 + 0.811681i \(0.698553\pi\)
\(752\) 3.60890 + 9.05766i 0.131603 + 0.330299i
\(753\) 6.92321 2.33270i 0.252296 0.0850083i
\(754\) 21.4471 2.33252i 0.781059 0.0849453i
\(755\) −18.8282 8.71083i −0.685227 0.317020i
\(756\) 3.04068 2.88028i 0.110588 0.104755i
\(757\) 22.1769 + 13.3434i 0.806033 + 0.484974i 0.857985 0.513675i \(-0.171716\pi\)
−0.0519511 + 0.998650i \(0.516544\pi\)
\(758\) −0.829111 0.0901713i −0.0301147 0.00327517i
\(759\) −11.4605 + 2.52265i −0.415990 + 0.0915664i
\(760\) 7.98580 28.7622i 0.289675 1.04332i
\(761\) −29.3872 + 17.6817i −1.06528 + 0.640961i −0.936484 0.350710i \(-0.885940\pi\)
−0.128801 + 0.991670i \(0.541113\pi\)
\(762\) 10.0907 4.66846i 0.365548 0.169120i
\(763\) −4.25579 + 10.6812i −0.154070 + 0.386686i
\(764\) 1.18081 21.7788i 0.0427202 0.787928i
\(765\) 4.58305 + 6.75949i 0.165700 + 0.244390i
\(766\) 21.1139 0.762877
\(767\) −29.9249 6.58238i −1.08053 0.237676i
\(768\) −11.5470 −0.416667
\(769\) −8.91159 13.1436i −0.321360 0.473971i 0.632357 0.774678i \(-0.282088\pi\)
−0.953717 + 0.300707i \(0.902777\pi\)
\(770\) 0.818151 15.0899i 0.0294841 0.543803i
\(771\) −1.29200 + 3.24267i −0.0465301 + 0.116782i
\(772\) −24.4001 + 11.2887i −0.878179 + 0.406289i