Properties

Label 177.2.e.b.169.4
Level $177$
Weight $2$
Character 177.169
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 169.4
Character \(\chi\) \(=\) 177.169
Dual form 177.2.e.b.22.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.276207 - 1.68479i) q^{2} +(-0.267528 + 0.963550i) q^{3} +(-0.866914 - 0.292097i) q^{4} +(-2.40908 - 3.55313i) q^{5} +(1.54948 + 0.716868i) q^{6} +(0.331175 - 0.0728972i) q^{7} +(0.867838 - 1.63692i) q^{8} +(-0.856857 - 0.515554i) q^{9} +O(q^{10})\) \(q+(0.276207 - 1.68479i) q^{2} +(-0.267528 + 0.963550i) q^{3} +(-0.866914 - 0.292097i) q^{4} +(-2.40908 - 3.55313i) q^{5} +(1.54948 + 0.716868i) q^{6} +(0.331175 - 0.0728972i) q^{7} +(0.867838 - 1.63692i) q^{8} +(-0.856857 - 0.515554i) q^{9} +(-6.65167 + 3.07739i) q^{10} +(0.00152925 - 0.00116250i) q^{11} +(0.513374 - 0.757170i) q^{12} +(1.61209 - 0.969960i) q^{13} +(-0.0313434 - 0.578095i) q^{14} +(4.06811 - 1.37071i) q^{15} +(-3.97469 - 3.02148i) q^{16} +(-1.13865 - 0.250635i) q^{17} +(-1.10527 + 1.30122i) q^{18} +(3.48773 - 0.379314i) q^{19} +(1.05061 + 3.78394i) q^{20} +(-0.0183587 + 0.338606i) q^{21} +(-0.00153618 - 0.00289755i) q^{22} +(2.65197 + 3.12214i) q^{23} +(1.34508 + 1.27413i) q^{24} +(-4.97035 + 12.4746i) q^{25} +(-1.18891 - 2.98393i) q^{26} +(0.725995 - 0.687699i) q^{27} +(-0.308393 - 0.0335398i) q^{28} +(1.38624 + 8.45568i) q^{29} +(-1.18571 - 7.23250i) q^{30} +(9.43823 + 1.02647i) q^{31} +(-3.49823 + 3.31370i) q^{32} +(0.000711013 + 0.00178451i) q^{33} +(-0.736769 + 1.84915i) q^{34} +(-1.05684 - 1.00109i) q^{35} +(0.592229 + 0.697226i) q^{36} +(-3.16402 - 5.96797i) q^{37} +(0.324273 - 5.98086i) q^{38} +(0.503326 + 1.81282i) q^{39} +(-7.90686 + 0.859923i) q^{40} +(6.48244 - 7.63171i) q^{41} +(0.565408 + 0.124456i) q^{42} +(-1.69305 - 1.28703i) q^{43} +(-0.00166529 + 0.000561101i) q^{44} +(0.232409 + 4.28653i) q^{45} +(5.99263 - 3.60565i) q^{46} +(0.206692 - 0.304848i) q^{47} +(3.97469 - 3.02148i) q^{48} +(-6.24866 + 2.89094i) q^{49} +(19.6443 + 11.8196i) q^{50} +(0.546120 - 1.03009i) q^{51} +(-1.68086 + 0.369986i) q^{52} +(9.03443 + 4.17977i) q^{53} +(-0.958103 - 1.41310i) q^{54} +(-0.00781460 - 0.00263304i) q^{55} +(0.168080 - 0.605369i) q^{56} +(-0.567579 + 3.46208i) q^{57} +14.6289 q^{58} +(-7.10706 - 2.91370i) q^{59} -3.92708 q^{60} +(0.0632710 - 0.385936i) q^{61} +(4.33629 - 15.6179i) q^{62} +(-0.321352 - 0.108276i) q^{63} +(-0.987081 - 1.45584i) q^{64} +(-7.33003 - 3.39124i) q^{65} +(0.00320290 - 0.000705013i) q^{66} +(2.23312 - 4.21210i) q^{67} +(0.913899 + 0.549875i) q^{68} +(-3.71781 + 1.72004i) q^{69} +(-1.97853 + 1.50404i) q^{70} +(-7.04255 + 10.3870i) q^{71} +(-1.58753 + 0.955186i) q^{72} +(-0.205393 - 3.78824i) q^{73} +(-10.9287 + 3.68231i) q^{74} +(-10.6902 - 8.12650i) q^{75} +(-3.13436 - 0.689925i) q^{76} +(0.000421705 - 0.000496470i) q^{77} +(3.19324 - 0.347285i) q^{78} +(1.63623 + 5.89317i) q^{79} +(-1.16036 + 21.4015i) q^{80} +(0.468408 + 0.883512i) q^{81} +(-11.0673 - 13.0295i) q^{82} +(-6.90228 - 6.53818i) q^{83} +(0.114821 - 0.288180i) q^{84} +(1.85255 + 4.64956i) q^{85} +(-2.63600 + 2.49695i) q^{86} +(-8.51833 - 0.926424i) q^{87} +(-0.000575782 - 0.00351211i) q^{88} +(1.15561 + 7.04894i) q^{89} +(7.28609 + 0.792410i) q^{90} +(0.463176 - 0.438743i) q^{91} +(-1.38706 - 3.48126i) q^{92} +(-3.51405 + 8.81959i) q^{93} +(-0.456514 - 0.432433i) q^{94} +(-9.74997 - 11.4786i) q^{95} +(-2.25704 - 4.25722i) q^{96} +(-0.336326 + 6.20316i) q^{97} +(3.14470 + 11.3262i) q^{98} +(-0.00190968 + 0.000207690i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{16}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.276207 1.68479i 0.195308 1.19132i −0.689120 0.724647i \(-0.742003\pi\)
0.884428 0.466677i \(-0.154549\pi\)
\(3\) −0.267528 + 0.963550i −0.154458 + 0.556306i
\(4\) −0.866914 0.292097i −0.433457 0.146049i
\(5\) −2.40908 3.55313i −1.07737 1.58901i −0.770707 0.637189i \(-0.780097\pi\)
−0.306666 0.951817i \(-0.599213\pi\)
\(6\) 1.54948 + 0.716868i 0.632574 + 0.292660i
\(7\) 0.331175 0.0728972i 0.125172 0.0275525i −0.151942 0.988389i \(-0.548553\pi\)
0.277115 + 0.960837i \(0.410622\pi\)
\(8\) 0.867838 1.63692i 0.306827 0.578737i
\(9\) −0.856857 0.515554i −0.285619 0.171851i
\(10\) −6.65167 + 3.07739i −2.10344 + 0.973156i
\(11\) 0.00152925 0.00116250i 0.000461085 0.000350508i −0.604944 0.796268i \(-0.706804\pi\)
0.605405 + 0.795918i \(0.293011\pi\)
\(12\) 0.513374 0.757170i 0.148198 0.218576i
\(13\) 1.61209 0.969960i 0.447112 0.269019i −0.274142 0.961689i \(-0.588394\pi\)
0.721254 + 0.692671i \(0.243566\pi\)
\(14\) −0.0313434 0.578095i −0.00837687 0.154502i
\(15\) 4.06811 1.37071i 1.05038 0.353915i
\(16\) −3.97469 3.02148i −0.993672 0.755370i
\(17\) −1.13865 0.250635i −0.276163 0.0607880i 0.0747297 0.997204i \(-0.476191\pi\)
−0.350892 + 0.936416i \(0.614122\pi\)
\(18\) −1.10527 + 1.30122i −0.260514 + 0.306701i
\(19\) 3.48773 0.379314i 0.800141 0.0870205i 0.301093 0.953595i \(-0.402649\pi\)
0.499048 + 0.866574i \(0.333683\pi\)
\(20\) 1.05061 + 3.78394i 0.234923 + 0.846115i
\(21\) −0.0183587 + 0.338606i −0.00400619 + 0.0738899i
\(22\) −0.00153618 0.00289755i −0.000327515 0.000617759i
\(23\) 2.65197 + 3.12214i 0.552973 + 0.651010i 0.965644 0.259870i \(-0.0836797\pi\)
−0.412670 + 0.910880i \(0.635404\pi\)
\(24\) 1.34508 + 1.27413i 0.274563 + 0.260080i
\(25\) −4.97035 + 12.4746i −0.994071 + 2.49493i
\(26\) −1.18891 2.98393i −0.233164 0.585197i
\(27\) 0.725995 0.687699i 0.139718 0.132348i
\(28\) −0.308393 0.0335398i −0.0582809 0.00633843i
\(29\) 1.38624 + 8.45568i 0.257418 + 1.57018i 0.726589 + 0.687073i \(0.241105\pi\)
−0.469171 + 0.883107i \(0.655447\pi\)
\(30\) −1.18571 7.23250i −0.216480 1.32047i
\(31\) 9.43823 + 1.02647i 1.69516 + 0.184359i 0.904081 0.427361i \(-0.140557\pi\)
0.791074 + 0.611720i \(0.209522\pi\)
\(32\) −3.49823 + 3.31370i −0.618405 + 0.585784i
\(33\) 0.000711013 0.00178451i 0.000123771 0.000310643i
\(34\) −0.736769 + 1.84915i −0.126355 + 0.317127i
\(35\) −1.05684 1.00109i −0.178639 0.169215i
\(36\) 0.592229 + 0.697226i 0.0987049 + 0.116204i
\(37\) −3.16402 5.96797i −0.520162 0.981129i −0.994887 0.100995i \(-0.967797\pi\)
0.474725 0.880134i \(-0.342547\pi\)
\(38\) 0.324273 5.98086i 0.0526040 0.970223i
\(39\) 0.503326 + 1.81282i 0.0805967 + 0.290283i
\(40\) −7.90686 + 0.859923i −1.25018 + 0.135966i
\(41\) 6.48244 7.63171i 1.01239 1.19187i 0.0310612 0.999517i \(-0.490111\pi\)
0.981325 0.192356i \(-0.0616128\pi\)
\(42\) 0.565408 + 0.124456i 0.0872444 + 0.0192039i
\(43\) −1.69305 1.28703i −0.258188 0.196270i 0.468070 0.883691i \(-0.344949\pi\)
−0.726259 + 0.687422i \(0.758743\pi\)
\(44\) −0.00166529 0.000561101i −0.000251052 8.45892e-5i
\(45\) 0.232409 + 4.28653i 0.0346455 + 0.638998i
\(46\) 5.99263 3.60565i 0.883565 0.531623i
\(47\) 0.206692 0.304848i 0.0301491 0.0444666i −0.812316 0.583218i \(-0.801793\pi\)
0.842465 + 0.538751i \(0.181104\pi\)
\(48\) 3.97469 3.02148i 0.573697 0.436113i
\(49\) −6.24866 + 2.89094i −0.892666 + 0.412991i
\(50\) 19.6443 + 11.8196i 2.77812 + 1.67154i
\(51\) 0.546120 1.03009i 0.0764721 0.144242i
\(52\) −1.68086 + 0.369986i −0.233094 + 0.0513078i
\(53\) 9.03443 + 4.17977i 1.24097 + 0.574136i 0.926917 0.375268i \(-0.122449\pi\)
0.314058 + 0.949404i \(0.398311\pi\)
\(54\) −0.958103 1.41310i −0.130381 0.192298i
\(55\) −0.00781460 0.00263304i −0.00105372 0.000355040i
\(56\) 0.168080 0.605369i 0.0224606 0.0808958i
\(57\) −0.567579 + 3.46208i −0.0751777 + 0.458564i
\(58\) 14.6289 1.92087
\(59\) −7.10706 2.91370i −0.925261 0.379332i
\(60\) −3.92708 −0.506984
\(61\) 0.0632710 0.385936i 0.00810103 0.0494141i −0.982467 0.186438i \(-0.940306\pi\)
0.990568 + 0.137024i \(0.0437538\pi\)
\(62\) 4.33629 15.6179i 0.550709 1.98347i
\(63\) −0.321352 0.108276i −0.0404866 0.0136415i
\(64\) −0.987081 1.45584i −0.123385 0.181980i
\(65\) −7.33003 3.39124i −0.909179 0.420631i
\(66\) 0.00320290 0.000705013i 0.000394250 8.67810e-5i
\(67\) 2.23312 4.21210i 0.272819 0.514590i −0.708808 0.705401i \(-0.750767\pi\)
0.981627 + 0.190811i \(0.0611117\pi\)
\(68\) 0.913899 + 0.549875i 0.110827 + 0.0666821i
\(69\) −3.71781 + 1.72004i −0.447572 + 0.207069i
\(70\) −1.97853 + 1.50404i −0.236480 + 0.179768i
\(71\) −7.04255 + 10.3870i −0.835797 + 1.23271i 0.134530 + 0.990910i \(0.457048\pi\)
−0.970327 + 0.241798i \(0.922263\pi\)
\(72\) −1.58753 + 0.955186i −0.187092 + 0.112570i
\(73\) −0.205393 3.78824i −0.0240394 0.443380i −0.985633 0.168902i \(-0.945978\pi\)
0.961593 0.274478i \(-0.0885050\pi\)
\(74\) −10.9287 + 3.68231i −1.27044 + 0.428059i
\(75\) −10.6902 8.12650i −1.23440 0.938368i
\(76\) −3.13436 0.689925i −0.359536 0.0791398i
\(77\) 0.000421705 0 0.000496470i 4.80578e−5 0 5.65780e-5i
\(78\) 3.19324 0.347285i 0.361563 0.0393223i
\(79\) 1.63623 + 5.89317i 0.184090 + 0.663034i 0.996769 + 0.0803216i \(0.0255947\pi\)
−0.812679 + 0.582712i \(0.801991\pi\)
\(80\) −1.16036 + 21.4015i −0.129732 + 2.39277i
\(81\) 0.468408 + 0.883512i 0.0520454 + 0.0981680i
\(82\) −11.0673 13.0295i −1.22218 1.43886i
\(83\) −6.90228 6.53818i −0.757623 0.717659i 0.207850 0.978161i \(-0.433353\pi\)
−0.965473 + 0.260502i \(0.916112\pi\)
\(84\) 0.114821 0.288180i 0.0125280 0.0314430i
\(85\) 1.85255 + 4.64956i 0.200938 + 0.504315i
\(86\) −2.63600 + 2.49695i −0.284247 + 0.269253i
\(87\) −8.51833 0.926424i −0.913261 0.0993231i
\(88\) −0.000575782 0.00351211i −6.13785e−5 0.000374392i
\(89\) 1.15561 + 7.04894i 0.122495 + 0.747186i 0.974623 + 0.223852i \(0.0718634\pi\)
−0.852128 + 0.523333i \(0.824688\pi\)
\(90\) 7.28609 + 0.792410i 0.768021 + 0.0835274i
\(91\) 0.463176 0.438743i 0.0485540 0.0459928i
\(92\) −1.38706 3.48126i −0.144611 0.362946i
\(93\) −3.51405 + 8.81959i −0.364390 + 0.914549i
\(94\) −0.456514 0.432433i −0.0470858 0.0446021i
\(95\) −9.74997 11.4786i −1.00033 1.17767i
\(96\) −2.25704 4.25722i −0.230358 0.434501i
\(97\) −0.336326 + 6.20316i −0.0341487 + 0.629835i 0.930499 + 0.366294i \(0.119373\pi\)
−0.964648 + 0.263542i \(0.915109\pi\)
\(98\) 3.14470 + 11.3262i 0.317662 + 1.14412i
\(99\) −0.00190968 0.000207690i −0.000191930 2.08736e-5i
\(100\) 7.95268 9.36261i 0.795268 0.936261i
\(101\) −19.0035 4.18300i −1.89092 0.416224i −0.891593 0.452837i \(-0.850412\pi\)
−0.999330 + 0.0366134i \(0.988343\pi\)
\(102\) −1.58464 1.20461i −0.156903 0.119275i
\(103\) 10.7098 3.60854i 1.05526 0.355560i 0.262400 0.964959i \(-0.415486\pi\)
0.792863 + 0.609400i \(0.208589\pi\)
\(104\) −0.188714 3.48062i −0.0185049 0.341303i
\(105\) 1.24734 0.750498i 0.121728 0.0732411i
\(106\) 9.53741 14.0666i 0.926355 1.36627i
\(107\) 9.53811 7.25068i 0.922084 0.700950i −0.0323172 0.999478i \(-0.510289\pi\)
0.954401 + 0.298528i \(0.0964956\pi\)
\(108\) −0.830251 + 0.384115i −0.0798909 + 0.0369615i
\(109\) 7.15638 + 4.30585i 0.685457 + 0.412426i 0.815245 0.579116i \(-0.196602\pi\)
−0.129788 + 0.991542i \(0.541430\pi\)
\(110\) −0.00659457 + 0.0124387i −0.000628767 + 0.00118598i
\(111\) 6.59691 1.45209i 0.626151 0.137826i
\(112\) −1.53657 0.710895i −0.145193 0.0671733i
\(113\) 0.966904 + 1.42608i 0.0909587 + 0.134154i 0.870446 0.492264i \(-0.163831\pi\)
−0.779487 + 0.626418i \(0.784520\pi\)
\(114\) 5.67610 + 1.91250i 0.531616 + 0.179122i
\(115\) 4.70455 16.9442i 0.438701 1.58006i
\(116\) 1.26813 7.73526i 0.117743 0.718201i
\(117\) −1.88139 −0.173935
\(118\) −6.87199 + 11.1691i −0.632618 + 1.02820i
\(119\) −0.395362 −0.0362428
\(120\) 1.28673 7.84871i 0.117462 0.716486i
\(121\) −2.94281 + 10.5990i −0.267528 + 0.963550i
\(122\) −0.632745 0.213197i −0.0572860 0.0193019i
\(123\) 5.61930 + 8.28785i 0.506675 + 0.747290i
\(124\) −7.88230 3.64674i −0.707851 0.327487i
\(125\) 35.3356 7.77796i 3.16052 0.695682i
\(126\) −0.271182 + 0.511504i −0.0241588 + 0.0455684i
\(127\) −5.86741 3.53030i −0.520648 0.313264i 0.230860 0.972987i \(-0.425846\pi\)
−0.751509 + 0.659723i \(0.770674\pi\)
\(128\) −11.4718 + 5.30740i −1.01397 + 0.469113i
\(129\) 1.69305 1.28703i 0.149065 0.113316i
\(130\) −7.73812 + 11.4129i −0.678678 + 1.00097i
\(131\) −2.55633 + 1.53809i −0.223347 + 0.134384i −0.622830 0.782357i \(-0.714017\pi\)
0.399483 + 0.916741i \(0.369190\pi\)
\(132\) −9.51370e−5 0.00175470i −8.28062e−6 0.000152727i
\(133\) 1.12740 0.379865i 0.0977579 0.0329385i
\(134\) −6.47970 4.92574i −0.559761 0.425519i
\(135\) −4.19246 0.922831i −0.360830 0.0794247i
\(136\) −1.39843 + 1.64636i −0.119914 + 0.141174i
\(137\) −10.0101 + 1.08866i −0.855217 + 0.0930104i −0.525215 0.850970i \(-0.676015\pi\)
−0.330002 + 0.943980i \(0.607049\pi\)
\(138\) 1.87102 + 6.73881i 0.159272 + 0.573646i
\(139\) 0.240137 4.42907i 0.0203682 0.375669i −0.970523 0.241007i \(-0.922522\pi\)
0.990892 0.134662i \(-0.0429949\pi\)
\(140\) 0.623773 + 1.17656i 0.0527184 + 0.0994375i
\(141\) 0.238440 + 0.280713i 0.0200803 + 0.0236403i
\(142\) 15.5547 + 14.7342i 1.30532 + 1.23646i
\(143\) 0.00133770 0.00335736i 0.000111864 0.000280757i
\(144\) 1.84800 + 4.63814i 0.154000 + 0.386512i
\(145\) 26.7045 25.2959i 2.21769 2.10071i
\(146\) −6.43912 0.700296i −0.532905 0.0579569i
\(147\) −1.11387 6.79431i −0.0918705 0.560385i
\(148\) 0.999703 + 6.09792i 0.0821751 + 0.501246i
\(149\) 5.43777 + 0.591393i 0.445479 + 0.0484488i 0.328110 0.944640i \(-0.393588\pi\)
0.117369 + 0.993088i \(0.462554\pi\)
\(150\) −16.6442 + 15.7662i −1.35899 + 1.28730i
\(151\) 5.13406 + 12.8855i 0.417804 + 1.04861i 0.975781 + 0.218751i \(0.0701984\pi\)
−0.557977 + 0.829856i \(0.688422\pi\)
\(152\) 2.40588 6.03831i 0.195143 0.489771i
\(153\) 0.846442 + 0.801793i 0.0684308 + 0.0648211i
\(154\) −0.000719969 0 0.000847612i −5.80167e−5 0 6.83026e-5i
\(155\) −19.0903 36.0081i −1.53337 2.89224i
\(156\) 0.0931785 1.71858i 0.00746025 0.137596i
\(157\) 3.92623 + 14.1410i 0.313347 + 1.12857i 0.937704 + 0.347435i \(0.112947\pi\)
−0.624357 + 0.781139i \(0.714639\pi\)
\(158\) 10.3807 1.12897i 0.825843 0.0898158i
\(159\) −6.44439 + 7.58692i −0.511073 + 0.601682i
\(160\) 20.2015 + 4.44668i 1.59707 + 0.351541i
\(161\) 1.10586 + 0.840653i 0.0871540 + 0.0662528i
\(162\) 1.61791 0.545137i 0.127115 0.0428300i
\(163\) −1.01350 18.6930i −0.0793837 1.46415i −0.718764 0.695255i \(-0.755292\pi\)
0.639380 0.768891i \(-0.279191\pi\)
\(164\) −7.84891 + 4.72254i −0.612897 + 0.368768i
\(165\) 0.00462770 0.00682534i 0.000360266 0.000531352i
\(166\) −12.9219 + 9.82298i −1.00293 + 0.762411i
\(167\) −1.56726 + 0.725090i −0.121278 + 0.0561091i −0.479590 0.877493i \(-0.659215\pi\)
0.358312 + 0.933602i \(0.383352\pi\)
\(168\) 0.538337 + 0.323907i 0.0415336 + 0.0249899i
\(169\) −4.43131 + 8.35834i −0.340870 + 0.642949i
\(170\) 8.34521 1.83692i 0.640048 0.140885i
\(171\) −3.18404 1.47310i −0.243490 0.112650i
\(172\) 1.09180 + 1.61028i 0.0832486 + 0.122782i
\(173\) 14.6720 + 4.94359i 1.11550 + 0.375854i 0.815889 0.578209i \(-0.196248\pi\)
0.299606 + 0.954063i \(0.403145\pi\)
\(174\) −3.91365 + 14.0957i −0.296693 + 1.06859i
\(175\) −0.736691 + 4.49362i −0.0556886 + 0.339686i
\(176\) −0.00959075 −0.000722930
\(177\) 4.70884 6.06851i 0.353938 0.456137i
\(178\) 12.1951 0.914065
\(179\) −2.56603 + 15.6521i −0.191794 + 1.16989i 0.698875 + 0.715243i \(0.253684\pi\)
−0.890670 + 0.454651i \(0.849764\pi\)
\(180\) 1.05061 3.78394i 0.0783075 0.282038i
\(181\) 13.0145 + 4.38509i 0.967358 + 0.325941i 0.758259 0.651954i \(-0.226050\pi\)
0.209099 + 0.977894i \(0.432947\pi\)
\(182\) −0.611257 0.901537i −0.0453094 0.0668263i
\(183\) 0.354942 + 0.164214i 0.0262381 + 0.0121390i
\(184\) 7.41215 1.63154i 0.546431 0.120279i
\(185\) −13.5826 + 25.6195i −0.998612 + 1.88358i
\(186\) 13.8885 + 8.35646i 1.01836 + 0.612725i
\(187\) −0.00203264 0.000940398i −0.000148641 6.87687e-5i
\(188\) −0.268229 + 0.203902i −0.0195626 + 0.0148711i
\(189\) 0.190300 0.280672i 0.0138423 0.0204159i
\(190\) −22.0319 + 13.2562i −1.59837 + 0.961704i
\(191\) 1.27232 + 23.4665i 0.0920616 + 1.69798i 0.571662 + 0.820489i \(0.306299\pi\)
−0.479601 + 0.877487i \(0.659218\pi\)
\(192\) 1.66684 0.561625i 0.120294 0.0405318i
\(193\) −9.61290 7.30753i −0.691952 0.526008i 0.199061 0.979987i \(-0.436211\pi\)
−0.891012 + 0.453979i \(0.850004\pi\)
\(194\) 10.3581 + 2.27999i 0.743669 + 0.163694i
\(195\) 5.22862 6.15560i 0.374429 0.440812i
\(196\) 6.26149 0.680978i 0.447249 0.0486413i
\(197\) −6.05184 21.7968i −0.431176 1.55296i −0.786124 0.618069i \(-0.787915\pi\)
0.354948 0.934886i \(-0.384499\pi\)
\(198\) −0.000177553 0.00327477i −1.26181e−5 0.000232728i
\(199\) −5.53514 10.4404i −0.392376 0.740100i 0.606094 0.795393i \(-0.292735\pi\)
−0.998470 + 0.0552933i \(0.982391\pi\)
\(200\) 16.1065 + 18.9620i 1.13890 + 1.34082i
\(201\) 3.46115 + 3.27858i 0.244131 + 0.231253i
\(202\) −12.2964 + 30.8616i −0.865170 + 2.17141i
\(203\) 1.07548 + 2.69926i 0.0754841 + 0.189451i
\(204\) −0.774326 + 0.733480i −0.0542136 + 0.0513539i
\(205\) −42.7331 4.64751i −2.98461 0.324596i
\(206\) −3.12151 19.0404i −0.217486 1.32660i
\(207\) −0.662727 4.04246i −0.0460627 0.280970i
\(208\) −9.33825 1.01560i −0.647491 0.0704189i
\(209\) 0.00489265 0.00463456i 0.000338432 0.000320579i
\(210\) −0.919907 2.30879i −0.0634796 0.159322i
\(211\) 4.98833 12.5198i 0.343411 0.861897i −0.651265 0.758850i \(-0.725762\pi\)
0.994676 0.103047i \(-0.0328592\pi\)
\(212\) −6.61117 6.26244i −0.454057 0.430106i
\(213\) −8.12429 9.56466i −0.556667 0.655360i
\(214\) −9.58137 18.0724i −0.654969 1.23540i
\(215\) −0.494265 + 9.11618i −0.0337086 + 0.621719i
\(216\) −0.495660 1.78521i −0.0337254 0.121468i
\(217\) 3.20053 0.348079i 0.217266 0.0236291i
\(218\) 9.23109 10.8677i 0.625208 0.736052i
\(219\) 3.70511 + 0.815556i 0.250368 + 0.0551102i
\(220\) 0.00600548 + 0.00456524i 0.000404889 + 0.000307789i
\(221\) −2.07870 + 0.700397i −0.139829 + 0.0471138i
\(222\) −0.624350 11.5155i −0.0419037 0.772868i
\(223\) 5.15114 3.09934i 0.344946 0.207547i −0.332529 0.943093i \(-0.607902\pi\)
0.677475 + 0.735546i \(0.263074\pi\)
\(224\) −0.916967 + 1.35243i −0.0612674 + 0.0903627i
\(225\) 10.6902 8.12650i 0.712682 0.541767i
\(226\) 2.66970 1.23514i 0.177586 0.0821600i
\(227\) 6.83096 + 4.11006i 0.453387 + 0.272794i 0.723877 0.689929i \(-0.242358\pi\)
−0.270490 + 0.962723i \(0.587186\pi\)
\(228\) 1.50331 2.83554i 0.0995589 0.187788i
\(229\) −12.1422 + 2.67270i −0.802378 + 0.176617i −0.597184 0.802104i \(-0.703714\pi\)
−0.205194 + 0.978721i \(0.565783\pi\)
\(230\) −27.2480 12.6063i −1.79668 0.831234i
\(231\) 0.000365555 0 0.000539154i 2.40518e−5 0 3.54737e-5i
\(232\) 15.0443 + 5.06900i 0.987705 + 0.332796i
\(233\) −6.70957 + 24.1657i −0.439559 + 1.58315i 0.329620 + 0.944114i \(0.393080\pi\)
−0.769178 + 0.639034i \(0.779334\pi\)
\(234\) −0.519654 + 3.16975i −0.0339709 + 0.207213i
\(235\) −1.58110 −0.103140
\(236\) 5.31013 + 4.60188i 0.345660 + 0.299557i
\(237\) −6.11611 −0.397284
\(238\) −0.109202 + 0.666102i −0.00707850 + 0.0431770i
\(239\) −2.84668 + 10.2528i −0.184137 + 0.663200i 0.812625 + 0.582787i \(0.198038\pi\)
−0.996762 + 0.0804131i \(0.974376\pi\)
\(240\) −20.3110 6.84358i −1.31107 0.441751i
\(241\) −2.78639 4.10961i −0.179487 0.264723i 0.727294 0.686326i \(-0.240778\pi\)
−0.906780 + 0.421603i \(0.861468\pi\)
\(242\) 17.0443 + 7.88554i 1.09565 + 0.506902i
\(243\) −0.976621 + 0.214970i −0.0626502 + 0.0137904i
\(244\) −0.167581 + 0.316092i −0.0107283 + 0.0202357i
\(245\) 25.3254 + 15.2378i 1.61798 + 0.973507i
\(246\) 15.5154 7.17817i 0.989223 0.457663i
\(247\) 5.25460 3.99445i 0.334342 0.254161i
\(248\) 9.87110 14.5588i 0.626815 0.924483i
\(249\) 8.14642 4.90154i 0.516258 0.310622i
\(250\) −3.34427 61.6814i −0.211510 3.90107i
\(251\) 4.09479 1.37969i 0.258461 0.0870855i −0.187088 0.982343i \(-0.559905\pi\)
0.445549 + 0.895258i \(0.353009\pi\)
\(252\) 0.246958 + 0.187732i 0.0155569 + 0.0118260i
\(253\) 0.00768500 + 0.00169160i 0.000483152 + 0.000106350i
\(254\) −7.56843 + 8.91025i −0.474886 + 0.559079i
\(255\) −4.97569 + 0.541139i −0.311590 + 0.0338874i
\(256\) 4.83215 + 17.4038i 0.302009 + 1.08774i
\(257\) 0.364601 6.72467i 0.0227432 0.419474i −0.964886 0.262668i \(-0.915398\pi\)
0.987629 0.156806i \(-0.0501196\pi\)
\(258\) −1.70073 3.20792i −0.105883 0.199717i
\(259\) −1.48289 1.74580i −0.0921425 0.108479i
\(260\) 5.36394 + 5.08099i 0.332657 + 0.315110i
\(261\) 3.17155 7.95999i 0.196314 0.492711i
\(262\) 1.88528 + 4.73170i 0.116473 + 0.292326i
\(263\) 18.2605 17.2973i 1.12599 1.06659i 0.128801 0.991670i \(-0.458887\pi\)
0.997189 0.0749245i \(-0.0238716\pi\)
\(264\) 0.00353813 0.000384795i 0.000217757 2.36825e-5i
\(265\) −6.91340 42.1699i −0.424687 2.59048i
\(266\) −0.328597 2.00435i −0.0201475 0.122895i
\(267\) −7.10116 0.772298i −0.434584 0.0472639i
\(268\) −3.16626 + 2.99924i −0.193410 + 0.183208i
\(269\) −4.79710 12.0398i −0.292484 0.734080i −0.999635 0.0270170i \(-0.991399\pi\)
0.707151 0.707063i \(-0.249980\pi\)
\(270\) −2.71276 + 6.80852i −0.165093 + 0.414353i
\(271\) 9.48807 + 8.98758i 0.576359 + 0.545956i 0.919380 0.393372i \(-0.128691\pi\)
−0.343020 + 0.939328i \(0.611450\pi\)
\(272\) 3.76848 + 4.43659i 0.228497 + 0.269008i
\(273\) 0.298838 + 0.563669i 0.0180865 + 0.0341148i
\(274\) −0.930687 + 17.1655i −0.0562249 + 1.03701i
\(275\) 0.00690092 + 0.0248549i 0.000416141 + 0.00149880i
\(276\) 3.72544 0.405166i 0.224245 0.0243881i
\(277\) −4.82158 + 5.67640i −0.289700 + 0.341062i −0.887690 0.460443i \(-0.847691\pi\)
0.597989 + 0.801504i \(0.295967\pi\)
\(278\) −7.39572 1.62792i −0.443566 0.0976362i
\(279\) −7.55801 5.74545i −0.452486 0.343971i
\(280\) −2.55587 + 0.861173i −0.152742 + 0.0514649i
\(281\) 0.882206 + 16.2713i 0.0526280 + 0.970666i 0.898966 + 0.438019i \(0.144320\pi\)
−0.846337 + 0.532647i \(0.821197\pi\)
\(282\) 0.538801 0.324186i 0.0320851 0.0193050i
\(283\) −6.85150 + 10.1052i −0.407279 + 0.600692i −0.974912 0.222590i \(-0.928549\pi\)
0.567633 + 0.823282i \(0.307859\pi\)
\(284\) 9.13929 6.94751i 0.542317 0.412259i
\(285\) 13.6686 6.32375i 0.809655 0.374586i
\(286\) −0.00528696 0.00318106i −0.000312625 0.000188100i
\(287\) 1.59049 2.99999i 0.0938837 0.177084i
\(288\) 4.70587 1.03584i 0.277296 0.0610375i
\(289\) −14.1951 6.56734i −0.835005 0.386314i
\(290\) −35.2422 51.9784i −2.06949 3.05228i
\(291\) −5.88708 1.98359i −0.345107 0.116280i
\(292\) −0.928478 + 3.34407i −0.0543350 + 0.195697i
\(293\) 1.53826 9.38295i 0.0898659 0.548158i −0.903069 0.429496i \(-0.858691\pi\)
0.992935 0.118662i \(-0.0378604\pi\)
\(294\) −11.7546 −0.685544
\(295\) 6.76873 + 32.2716i 0.394091 + 1.87893i
\(296\) −12.5149 −0.727416
\(297\) 0.000310773 0.00189563i 1.80329e−5 0.000109996i
\(298\) 2.49832 8.99814i 0.144724 0.521248i
\(299\) 7.30355 + 2.46085i 0.422375 + 0.142315i
\(300\) 6.89378 + 10.1676i 0.398013 + 0.587025i
\(301\) −0.654518 0.302812i −0.0377258 0.0174538i
\(302\) 23.1274 5.09073i 1.33083 0.292938i
\(303\) 9.11451 17.1918i 0.523615 0.987643i
\(304\) −15.0087 9.03045i −0.860810 0.517932i
\(305\) −1.52371 + 0.704941i −0.0872471 + 0.0403648i
\(306\) 1.58464 1.20461i 0.0905880 0.0688632i
\(307\) −19.3450 + 28.5317i −1.10408 + 1.62839i −0.403198 + 0.915113i \(0.632101\pi\)
−0.700879 + 0.713280i \(0.747209\pi\)
\(308\) −0.000510600 0 0.000307218i −2.90941e−5 0 1.75053e-5i
\(309\) 0.611842 + 11.2848i 0.0348065 + 0.641968i
\(310\) −65.9388 + 22.2174i −3.74507 + 1.26186i
\(311\) 1.35458 + 1.02972i 0.0768109 + 0.0583901i 0.642875 0.765971i \(-0.277741\pi\)
−0.566064 + 0.824361i \(0.691535\pi\)
\(312\) 3.40424 + 0.749329i 0.192727 + 0.0424224i
\(313\) 3.35693 3.95209i 0.189745 0.223385i −0.659061 0.752089i \(-0.729046\pi\)
0.848806 + 0.528704i \(0.177322\pi\)
\(314\) 24.9090 2.70902i 1.40570 0.152879i
\(315\) 0.389444 + 1.40265i 0.0219427 + 0.0790304i
\(316\) 0.302908 5.58681i 0.0170399 0.314283i
\(317\) 2.94637 + 5.55743i 0.165484 + 0.312137i 0.952361 0.304974i \(-0.0986478\pi\)
−0.786876 + 0.617111i \(0.788303\pi\)
\(318\) 11.0024 + 12.9530i 0.616982 + 0.726367i
\(319\) 0.0119497 + 0.0113193i 0.000669052 + 0.000633760i
\(320\) −2.79481 + 7.01445i −0.156235 + 0.392120i
\(321\) 4.43468 + 11.1302i 0.247520 + 0.621228i
\(322\) 1.72177 1.63095i 0.0959504 0.0908891i
\(323\) −4.06637 0.442244i −0.226259 0.0246071i
\(324\) −0.147998 0.902750i −0.00822213 0.0501528i
\(325\) 4.08727 + 24.9312i 0.226721 + 1.38294i
\(326\) −31.7736 3.45559i −1.75978 0.191387i
\(327\) −6.06344 + 5.74359i −0.335309 + 0.317622i
\(328\) −6.86677 17.2343i −0.379154 0.951605i
\(329\) 0.0462287 0.116025i 0.00254867 0.00639668i
\(330\) −0.0102210 0.00968189i −0.000562650 0.000532971i
\(331\) 7.75066 + 9.12478i 0.426015 + 0.501543i 0.932733 0.360569i \(-0.117417\pi\)
−0.506718 + 0.862112i \(0.669142\pi\)
\(332\) 4.07389 + 7.68418i 0.223584 + 0.421724i
\(333\) −0.365699 + 6.74492i −0.0200402 + 0.369620i
\(334\) 0.788736 + 2.84077i 0.0431577 + 0.155440i
\(335\) −20.3459 + 2.21275i −1.11162 + 0.120895i
\(336\) 1.09606 1.29038i 0.0597950 0.0703961i
\(337\) −10.5218 2.31603i −0.573161 0.126162i −0.0810739 0.996708i \(-0.525835\pi\)
−0.492088 + 0.870546i \(0.663766\pi\)
\(338\) 12.8581 + 9.77445i 0.699387 + 0.531660i
\(339\) −1.63277 + 0.550144i −0.0886799 + 0.0298797i
\(340\) −0.247881 4.57189i −0.0134432 0.247946i
\(341\) 0.0156266 0.00940224i 0.000846230 0.000509160i
\(342\) −3.36131 + 4.95756i −0.181759 + 0.268074i
\(343\) −3.74837 + 2.84943i −0.202393 + 0.153855i
\(344\) −3.57605 + 1.65446i −0.192808 + 0.0892024i
\(345\) 15.0680 + 9.06613i 0.811235 + 0.488104i
\(346\) 12.3814 23.3538i 0.665629 1.25551i
\(347\) 26.7141 5.88023i 1.43409 0.315667i 0.571097 0.820882i \(-0.306518\pi\)
0.862993 + 0.505215i \(0.168587\pi\)
\(348\) 7.11405 + 3.29131i 0.381353 + 0.176433i
\(349\) 5.15876 + 7.60861i 0.276142 + 0.407279i 0.940318 0.340297i \(-0.110528\pi\)
−0.664176 + 0.747577i \(0.731217\pi\)
\(350\) 7.36731 + 2.48234i 0.393799 + 0.132686i
\(351\) 0.503326 1.81282i 0.0268656 0.0967610i
\(352\) −0.00149747 + 0.00913416i −7.98154e−5 + 0.000486852i
\(353\) −22.7009 −1.20825 −0.604123 0.796891i \(-0.706477\pi\)
−0.604123 + 0.796891i \(0.706477\pi\)
\(354\) −8.92354 9.60956i −0.474281 0.510742i
\(355\) 53.8723 2.85925
\(356\) 1.05716 6.44837i 0.0560292 0.341763i
\(357\) 0.105771 0.380951i 0.00559798 0.0201621i
\(358\) 25.6617 + 8.64645i 1.35627 + 0.456979i
\(359\) 5.33469 + 7.86809i 0.281554 + 0.415262i 0.942000 0.335612i \(-0.108943\pi\)
−0.660446 + 0.750874i \(0.729633\pi\)
\(360\) 7.21839 + 3.33958i 0.380442 + 0.176011i
\(361\) −6.53540 + 1.43855i −0.343968 + 0.0757131i
\(362\) 10.9826 20.7154i 0.577234 1.08878i
\(363\) −9.42543 5.67109i −0.494707 0.297655i
\(364\) −0.529689 + 0.245060i −0.0277632 + 0.0128446i
\(365\) −12.9653 + 9.85596i −0.678635 + 0.515885i
\(366\) 0.374703 0.552645i 0.0195860 0.0288872i
\(367\) −24.2145 + 14.5694i −1.26399 + 0.760516i −0.980131 0.198351i \(-0.936442\pi\)
−0.283857 + 0.958867i \(0.591614\pi\)
\(368\) −1.10727 20.4224i −0.0577204 1.06459i
\(369\) −9.48908 + 3.19724i −0.493982 + 0.166442i
\(370\) 39.4118 + 29.9601i 2.04892 + 1.55755i
\(371\) 3.29667 + 0.725653i 0.171155 + 0.0376740i
\(372\) 5.62255 6.61938i 0.291516 0.343199i
\(373\) −10.4377 + 1.13516i −0.540441 + 0.0587765i −0.374269 0.927320i \(-0.622106\pi\)
−0.166172 + 0.986097i \(0.553141\pi\)
\(374\) 0.00102294 + 0.00368431i 5.28951e−5 + 0.000190511i
\(375\) −1.95883 + 36.1285i −0.101154 + 1.86567i
\(376\) −0.319635 0.602896i −0.0164839 0.0310920i
\(377\) 10.4364 + 12.2867i 0.537502 + 0.632797i
\(378\) −0.420311 0.398139i −0.0216184 0.0204781i
\(379\) −0.318365 + 0.799036i −0.0163533 + 0.0410437i −0.936927 0.349526i \(-0.886343\pi\)
0.920573 + 0.390570i \(0.127722\pi\)
\(380\) 5.09953 + 12.7989i 0.261600 + 0.656568i
\(381\) 4.97132 4.70909i 0.254689 0.241254i
\(382\) 39.8875 + 4.33803i 2.04082 + 0.221953i
\(383\) −3.37226 20.5699i −0.172315 1.05107i −0.921405 0.388604i \(-0.872957\pi\)
0.749090 0.662468i \(-0.230491\pi\)
\(384\) −2.04493 12.4735i −0.104355 0.636536i
\(385\) −0.00277994 0.000302337i −0.000141679 1.54085e-5i
\(386\) −14.9668 + 14.1773i −0.761790 + 0.721606i
\(387\) 0.787174 + 1.97566i 0.0400143 + 0.100428i
\(388\) 2.10349 5.27936i 0.106789 0.268019i
\(389\) −8.09016 7.66341i −0.410187 0.388550i 0.454594 0.890699i \(-0.349784\pi\)
−0.864781 + 0.502149i \(0.832543\pi\)
\(390\) −8.92671 10.5093i −0.452021 0.532161i
\(391\) −2.23714 4.21969i −0.113137 0.213399i
\(392\) −0.690602 + 12.7374i −0.0348807 + 0.643336i
\(393\) −0.798138 2.87463i −0.0402607 0.145006i
\(394\) −38.3945 + 4.17565i −1.93429 + 0.210366i
\(395\) 16.9974 20.0109i 0.855231 1.00686i
\(396\) 0.00171619 0.000377763i 8.62419e−5 1.89833e-5i
\(397\) −6.64573 5.05196i −0.333540 0.253550i 0.424977 0.905204i \(-0.360282\pi\)
−0.758516 + 0.651654i \(0.774075\pi\)
\(398\) −19.1187 + 6.44184i −0.958333 + 0.322900i
\(399\) 0.0644077 + 1.18793i 0.00322442 + 0.0594709i
\(400\) 57.4475 34.5650i 2.87237 1.72825i
\(401\) −6.11121 + 9.01336i −0.305179 + 0.450106i −0.949095 0.314991i \(-0.897999\pi\)
0.643915 + 0.765097i \(0.277309\pi\)
\(402\) 6.47970 4.92574i 0.323178 0.245674i
\(403\) 16.2109 7.49995i 0.807521 0.373599i
\(404\) 15.2526 + 9.17718i 0.758845 + 0.456582i
\(405\) 2.01080 3.79277i 0.0999173 0.188464i
\(406\) 4.84473 1.06641i 0.240440 0.0529249i
\(407\) −0.0117764 0.00544832i −0.000583732 0.000270063i
\(408\) −1.21223 1.78791i −0.0600143 0.0885145i
\(409\) −13.1996 4.44746i −0.652678 0.219913i −0.0265674 0.999647i \(-0.508458\pi\)
−0.626111 + 0.779734i \(0.715354\pi\)
\(410\) −19.6333 + 70.7126i −0.969618 + 3.49225i
\(411\) 1.62900 9.93643i 0.0803524 0.490128i
\(412\) −10.3385 −0.509340
\(413\) −2.56608 0.446861i −0.126269 0.0219886i
\(414\) −6.99373 −0.343723
\(415\) −6.60286 + 40.2757i −0.324122 + 1.97705i
\(416\) −2.42529 + 8.73511i −0.118910 + 0.428274i
\(417\) 4.20339 + 1.41629i 0.205841 + 0.0693558i
\(418\) −0.00645687 0.00952317i −0.000315816 0.000465794i
\(419\) −20.5246 9.49570i −1.00269 0.463895i −0.151337 0.988482i \(-0.548358\pi\)
−0.851357 + 0.524587i \(0.824220\pi\)
\(420\) −1.30055 + 0.286273i −0.0634604 + 0.0139687i
\(421\) 2.04881 3.86447i 0.0998530 0.188343i −0.828552 0.559911i \(-0.810835\pi\)
0.928405 + 0.371569i \(0.121180\pi\)
\(422\) −19.7154 11.8623i −0.959728 0.577449i
\(423\) −0.334271 + 0.154650i −0.0162528 + 0.00751935i
\(424\) 14.6824 11.1612i 0.713039 0.542038i
\(425\) 8.78606 12.9585i 0.426187 0.628578i
\(426\) −18.3584 + 11.0459i −0.889468 + 0.535175i
\(427\) −0.00717986 0.132425i −0.000347458 0.00640848i
\(428\) −10.3866 + 3.49966i −0.502056 + 0.169162i
\(429\) 0.00287712 + 0.00218713i 0.000138908 + 0.000105595i
\(430\) 15.2223 + 3.35069i 0.734085 + 0.161584i
\(431\) 17.0223 20.0402i 0.819936 0.965304i −0.179895 0.983686i \(-0.557576\pi\)
0.999831 + 0.0183823i \(0.00585158\pi\)
\(432\) −4.96347 + 0.539810i −0.238805 + 0.0259716i
\(433\) −6.47493 23.3206i −0.311165 1.12072i −0.939437 0.342722i \(-0.888651\pi\)
0.628272 0.777994i \(-0.283763\pi\)
\(434\) 0.297570 5.48836i 0.0142838 0.263450i
\(435\) 17.2296 + 32.4985i 0.826097 + 1.55818i
\(436\) −4.94624 5.82316i −0.236882 0.278879i
\(437\) 10.4336 + 9.88325i 0.499108 + 0.472780i
\(438\) 2.39742 6.01706i 0.114553 0.287506i
\(439\) −9.66992 24.2697i −0.461520 1.15833i −0.957098 0.289765i \(-0.906423\pi\)
0.495578 0.868564i \(-0.334956\pi\)
\(440\) −0.0110919 + 0.0105068i −0.000528784 + 0.000500891i
\(441\) 6.84465 + 0.744400i 0.325936 + 0.0354476i
\(442\) 0.605868 + 3.69563i 0.0288182 + 0.175783i
\(443\) −1.62128 9.88937i −0.0770293 0.469858i −0.996969 0.0777984i \(-0.975211\pi\)
0.919940 0.392060i \(-0.128237\pi\)
\(444\) −6.14310 0.668102i −0.291539 0.0317067i
\(445\) 22.2618 21.0875i 1.05531 0.999643i
\(446\) −3.79894 9.53463i −0.179885 0.451478i
\(447\) −2.02459 + 5.08135i −0.0957600 + 0.240339i
\(448\) −0.433023 0.410181i −0.0204584 0.0193792i
\(449\) −7.70867 9.07535i −0.363795 0.428292i 0.549562 0.835453i \(-0.314795\pi\)
−0.913356 + 0.407161i \(0.866519\pi\)
\(450\) −10.7387 20.2554i −0.506228 0.954848i
\(451\) 0.00104135 0.0192066i 4.90354e−5 0.000904404i
\(452\) −0.421669 1.51872i −0.0198337 0.0714344i
\(453\) −13.7893 + 1.49968i −0.647880 + 0.0704611i
\(454\) 8.81133 10.3735i 0.413536 0.486853i
\(455\) −2.67474 0.588754i −0.125394 0.0276012i
\(456\) 5.17457 + 3.93361i 0.242321 + 0.184208i
\(457\) −14.6850 + 4.94796i −0.686937 + 0.231456i −0.641060 0.767491i \(-0.721505\pi\)
−0.0458772 + 0.998947i \(0.514608\pi\)
\(458\) 1.14917 + 21.1952i 0.0536973 + 0.990388i
\(459\) −0.999014 + 0.601087i −0.0466300 + 0.0280563i
\(460\) −9.02780 + 13.3150i −0.420924 + 0.620816i
\(461\) −2.21203 + 1.68154i −0.103025 + 0.0783173i −0.655418 0.755266i \(-0.727508\pi\)
0.552394 + 0.833583i \(0.313715\pi\)
\(462\) 0.00100933 0.000466965i 4.69582e−5 2.17252e-5i
\(463\) −18.1513 10.9213i −0.843562 0.507555i 0.0269870 0.999636i \(-0.491409\pi\)
−0.870549 + 0.492081i \(0.836236\pi\)
\(464\) 20.0388 37.7972i 0.930277 1.75469i
\(465\) 39.8027 8.76125i 1.84581 0.406293i
\(466\) 38.8609 + 17.9789i 1.80019 + 0.832859i
\(467\) 16.0410 + 23.6587i 0.742289 + 1.09479i 0.991971 + 0.126466i \(0.0403635\pi\)
−0.249682 + 0.968328i \(0.580326\pi\)
\(468\) 1.63101 + 0.549550i 0.0753933 + 0.0254030i
\(469\) 0.432502 1.55773i 0.0199711 0.0719294i
\(470\) −0.436711 + 2.66382i −0.0201440 + 0.122873i
\(471\) −14.6759 −0.676232
\(472\) −10.9373 + 9.10504i −0.503428 + 0.419094i
\(473\) −0.00408527 −0.000187841
\(474\) −1.68931 + 10.3043i −0.0775926 + 0.473294i
\(475\) −12.6035 + 45.3935i −0.578286 + 2.08280i
\(476\) 0.342745 + 0.115484i 0.0157097 + 0.00529321i
\(477\) −5.58632 8.23921i −0.255780 0.377247i
\(478\) 16.4876 + 7.62796i 0.754123 + 0.348895i
\(479\) −31.8152 + 7.00306i −1.45368 + 0.319978i −0.870420 0.492310i \(-0.836152\pi\)
−0.583256 + 0.812289i \(0.698221\pi\)
\(480\) −9.68908 + 18.2755i −0.442244 + 0.834160i
\(481\) −10.8894 6.55192i −0.496513 0.298742i
\(482\) −7.69344 + 3.55937i −0.350427 + 0.162125i
\(483\) −1.10586 + 0.840653i −0.0503184 + 0.0382510i
\(484\) 5.64712 8.32887i 0.256687 0.378585i
\(485\) 22.8508 13.7489i 1.03760 0.624305i
\(486\) 0.0924302 + 1.70477i 0.00419272 + 0.0773302i
\(487\) 10.9513 3.68992i 0.496250 0.167206i −0.0600370 0.998196i \(-0.519122\pi\)
0.556287 + 0.830990i \(0.312225\pi\)
\(488\) −0.576836 0.438500i −0.0261122 0.0198499i
\(489\) 18.2827 + 4.02434i 0.826774 + 0.181987i
\(490\) 32.6675 38.4592i 1.47577 1.73741i
\(491\) 31.5610 3.43247i 1.42433 0.154905i 0.636727 0.771090i \(-0.280288\pi\)
0.787602 + 0.616185i \(0.211322\pi\)
\(492\) −2.45059 8.82623i −0.110481 0.397917i
\(493\) 0.540855 9.97548i 0.0243589 0.449273i
\(494\) −5.27844 9.95619i −0.237488 0.447950i
\(495\) 0.00533852 + 0.00628499i 0.000239948 + 0.000282489i
\(496\) −34.4125 32.5973i −1.54517 1.46366i
\(497\) −1.57514 + 3.95329i −0.0706545 + 0.177329i
\(498\) −6.00795 15.0788i −0.269223 0.675698i
\(499\) 23.7677 22.5140i 1.06399 1.00787i 0.0640394 0.997947i \(-0.479602\pi\)
0.999951 0.00991770i \(-0.00315695\pi\)
\(500\) −32.9049 3.57862i −1.47155 0.160041i
\(501\) −0.279375 1.70411i −0.0124816 0.0761341i
\(502\) −1.19348 7.27993i −0.0532678 0.324919i
\(503\) 42.5291 + 4.62532i 1.89628 + 0.206233i 0.980647 0.195786i \(-0.0627259\pi\)
0.915631 + 0.402019i \(0.131691\pi\)
\(504\) −0.456121 + 0.432061i −0.0203172 + 0.0192455i
\(505\) 30.9183 + 77.5991i 1.37585 + 3.45312i
\(506\) 0.00497263 0.0124804i 0.000221061 0.000554820i
\(507\) −6.86818 6.50588i −0.305026 0.288936i
\(508\) 4.05535 + 4.77432i 0.179927 + 0.211826i
\(509\) −0.135468 0.255519i −0.00600450 0.0113257i 0.880492 0.474062i \(-0.157213\pi\)
−0.886496 + 0.462736i \(0.846868\pi\)
\(510\) −0.462616 + 8.53245i −0.0204850 + 0.377823i
\(511\) −0.344173 1.23960i −0.0152253 0.0548367i
\(512\) 5.52459 0.600836i 0.244155 0.0265534i
\(513\) 2.27122 2.67389i 0.100277 0.118055i
\(514\) −11.2289 2.47168i −0.495287 0.109021i
\(515\) −38.6222 29.3599i −1.70190 1.29375i
\(516\) −1.84367 + 0.621204i −0.0811630 + 0.0273470i
\(517\) −3.83035e−5 0 0.000706467i −1.68459e−6 0 3.10704e-5i
\(518\) −3.35088 + 2.01616i −0.147229 + 0.0885850i
\(519\) −8.68858 + 12.8147i −0.381386 + 0.562503i
\(520\) −11.9125 + 9.05561i −0.522395 + 0.397115i
\(521\) −0.175161 + 0.0810379i −0.00767393 + 0.00355034i −0.423722 0.905792i \(-0.639277\pi\)
0.416048 + 0.909342i \(0.363415\pi\)
\(522\) −12.5349 7.54199i −0.548637 0.330104i
\(523\) 3.28866 6.20307i 0.143803 0.271241i −0.801139 0.598478i \(-0.795773\pi\)
0.944943 + 0.327236i \(0.106117\pi\)
\(524\) 2.66539 0.586696i 0.116438 0.0256299i
\(525\) −4.13274 1.91201i −0.180368 0.0834469i
\(526\) −24.0985 35.5427i −1.05075 1.54973i
\(527\) −10.4895 3.53434i −0.456932 0.153958i
\(528\) 0.00256580 0.00924117i 0.000111662 0.000402170i
\(529\) 1.00618 6.13741i 0.0437468 0.266844i
\(530\) −72.9569 −3.16904
\(531\) 4.58757 + 6.16070i 0.199083 + 0.267352i
\(532\) −1.08832 −0.0471845
\(533\) 3.04779 18.5907i 0.132014 0.805252i
\(534\) −3.26255 + 11.7506i −0.141184 + 0.508500i
\(535\) −48.7406 16.4226i −2.10724 0.710012i
\(536\) −4.95688 7.31085i −0.214105 0.315781i
\(537\) −14.3951 6.65989i −0.621195 0.287395i
\(538\) −21.6095 + 4.75661i −0.931652 + 0.205072i
\(539\) −0.00619502 + 0.0116851i −0.000266839 + 0.000503311i
\(540\) 3.36495 + 2.02462i 0.144804 + 0.0871259i
\(541\) −21.6073 + 9.99658i −0.928968 + 0.429787i −0.825216 0.564817i \(-0.808947\pi\)
−0.103752 + 0.994603i \(0.533085\pi\)
\(542\) 17.7628 13.5030i 0.762979 0.580001i
\(543\) −7.70699 + 11.3670i −0.330739 + 0.487803i
\(544\) 4.81378 2.89635i 0.206389 0.124180i
\(545\) −1.94106 35.8007i −0.0831457 1.53353i
\(546\) 1.03220 0.347790i 0.0441743 0.0148840i
\(547\) 2.89779 + 2.20284i 0.123901 + 0.0941868i 0.665289 0.746586i \(-0.268308\pi\)
−0.541389 + 0.840772i \(0.682101\pi\)
\(548\) 8.99585 + 1.98014i 0.384284 + 0.0845872i
\(549\) −0.253185 + 0.298073i −0.0108057 + 0.0127214i
\(550\) 0.0437812 0.00476150i 0.00186684 0.000203031i
\(551\) 8.04218 + 28.9653i 0.342608 + 1.23396i
\(552\) −0.410892 + 7.57846i −0.0174887 + 0.322561i
\(553\) 0.971475 + 1.83240i 0.0413113 + 0.0779214i
\(554\) 8.23177 + 9.69119i 0.349735 + 0.411739i
\(555\) −21.0519 19.9414i −0.893605 0.846467i
\(556\) −1.50190 + 3.76948i −0.0636946 + 0.159862i
\(557\) 2.22118 + 5.57473i 0.0941143 + 0.236209i 0.968496 0.249030i \(-0.0801118\pi\)
−0.874381 + 0.485239i \(0.838733\pi\)
\(558\) −11.7674 + 11.1467i −0.498156 + 0.471878i
\(559\) −3.97771 0.432602i −0.168239 0.0182971i
\(560\) 1.17583 + 7.17225i 0.0496879 + 0.303083i
\(561\) −0.000362332 0.00221013i −1.52977e−5 9.33118e-5i
\(562\) 27.6574 + 3.00793i 1.16666 + 0.126882i
\(563\) −8.75412 + 8.29235i −0.368942 + 0.349481i −0.849600 0.527428i \(-0.823157\pi\)
0.480658 + 0.876908i \(0.340398\pi\)
\(564\) −0.124711 0.313002i −0.00525129 0.0131798i
\(565\) 2.73768 6.87107i 0.115175 0.289068i
\(566\) 15.1327 + 14.3345i 0.636075 + 0.602522i
\(567\) 0.219531 + 0.258452i 0.00921943 + 0.0108539i
\(568\) 10.8908 + 20.5423i 0.456969 + 0.861935i
\(569\) 0.0723327 1.33410i 0.00303235 0.0559283i −0.996626 0.0820818i \(-0.973843\pi\)
0.999658 + 0.0261535i \(0.00832587\pi\)
\(570\) −6.87882 24.7753i −0.288122 1.03772i
\(571\) 42.2210 4.59181i 1.76689 0.192161i 0.833867 0.551966i \(-0.186122\pi\)
0.933028 + 0.359805i \(0.117157\pi\)
\(572\) −0.00214034 + 0.00251981i −8.94922e−5 + 0.000105358i
\(573\) −22.9515 5.05201i −0.958814 0.211051i
\(574\) −4.61503 3.50826i −0.192628 0.146432i
\(575\) −52.1288 + 17.5642i −2.17392 + 0.732479i
\(576\) 0.0952258 + 1.75634i 0.00396774 + 0.0731807i
\(577\) 2.73602 1.64621i 0.113902 0.0685325i −0.457463 0.889229i \(-0.651242\pi\)
0.571365 + 0.820696i \(0.306414\pi\)
\(578\) −14.9854 + 22.1018i −0.623309 + 0.919312i
\(579\) 9.61290 7.30753i 0.399498 0.303691i
\(580\) −30.5394 + 14.1290i −1.26808 + 0.586676i
\(581\) −2.76248 1.66213i −0.114607 0.0689567i
\(582\) −4.96798 + 9.37060i −0.205929 + 0.388424i
\(583\) 0.0186749 0.00411065i 0.000773434 0.000170246i
\(584\) −6.37928 2.95137i −0.263977 0.122129i
\(585\) 4.53243 + 6.68483i 0.187393 + 0.276384i
\(586\) −15.3834 5.18327i −0.635482 0.214119i
\(587\) −9.60678 + 34.6005i −0.396514 + 1.42812i 0.448698 + 0.893684i \(0.351888\pi\)
−0.845212 + 0.534432i \(0.820526\pi\)
\(588\) −1.01897 + 6.21544i −0.0420216 + 0.256320i
\(589\) 33.3074 1.37241
\(590\) 56.2404 2.49022i 2.31538 0.102521i
\(591\) 22.6213 0.930517
\(592\) −5.45612 + 33.2808i −0.224245 + 1.36783i
\(593\) −3.75262 + 13.5157i −0.154102 + 0.555024i 0.845671 + 0.533704i \(0.179200\pi\)
−0.999773 + 0.0213194i \(0.993213\pi\)
\(594\) −0.00310790 0.00104717i −0.000127519 4.29661e-5i
\(595\) 0.952459 + 1.40477i 0.0390470 + 0.0575901i
\(596\) −4.54133 2.10104i −0.186020 0.0860621i
\(597\) 11.5406 2.54029i 0.472327 0.103967i
\(598\) 6.16330 11.6252i 0.252036 0.475391i
\(599\) −1.22340 0.736093i −0.0499866 0.0300760i 0.490341 0.871531i \(-0.336872\pi\)
−0.540328 + 0.841455i \(0.681700\pi\)
\(600\) −22.5798 + 10.4465i −0.921816 + 0.426478i
\(601\) 15.8661 12.0611i 0.647194 0.491984i −0.229326 0.973350i \(-0.573652\pi\)
0.876520 + 0.481366i \(0.159859\pi\)
\(602\) −0.690957 + 1.01909i −0.0281613 + 0.0415348i
\(603\) −4.08503 + 2.45788i −0.166355 + 0.100093i
\(604\) −0.686962 12.6703i −0.0279521 0.515546i
\(605\) 44.7492 15.0778i 1.81931 0.612998i
\(606\) −26.4470 20.1045i −1.07434 0.816690i
\(607\) 18.9494 + 4.17109i 0.769134 + 0.169299i 0.582169 0.813068i \(-0.302204\pi\)
0.186964 + 0.982367i \(0.440135\pi\)
\(608\) −10.9439 + 12.8842i −0.443836 + 0.522524i
\(609\) −2.88859 + 0.314153i −0.117052 + 0.0127301i
\(610\) 0.766818 + 2.76183i 0.0310476 + 0.111823i
\(611\) 0.0375150 0.691923i 0.00151769 0.0279922i
\(612\) −0.499591 0.942328i −0.0201948 0.0380914i
\(613\) −27.5350 32.4167i −1.11213 1.30930i −0.946353 0.323135i \(-0.895263\pi\)
−0.165776 0.986163i \(-0.553013\pi\)
\(614\) 42.7267 + 40.4729i 1.72431 + 1.63335i
\(615\) 15.9104 39.9322i 0.641571 1.61022i
\(616\) −0.000446708 0.00112115i −1.79984e−5 4.51725e-5i
\(617\) 9.35828 8.86464i 0.376750 0.356877i −0.475771 0.879569i \(-0.657831\pi\)
0.852521 + 0.522692i \(0.175072\pi\)
\(618\) 19.1814 + 2.08611i 0.771590 + 0.0839155i
\(619\) −2.89227 17.6421i −0.116250 0.709095i −0.979061 0.203568i \(-0.934746\pi\)
0.862811 0.505527i \(-0.168702\pi\)
\(620\) 6.03176 + 36.7921i 0.242241 + 1.47761i
\(621\) 4.07241 + 0.442901i 0.163420 + 0.0177730i
\(622\) 2.10901 1.99776i 0.0845634 0.0801027i
\(623\) 0.896558 + 2.25019i 0.0359198 + 0.0901520i
\(624\) 3.47682 8.72617i 0.139184 0.349326i
\(625\) −64.0178 60.6409i −2.56071 2.42563i
\(626\) −5.73122 6.74731i −0.229066 0.269677i
\(627\) 0.00315671 + 0.00595419i 0.000126067 + 0.000237787i
\(628\) 0.726845 13.4059i 0.0290043 0.534952i
\(629\) 2.10692 + 7.58843i 0.0840083 + 0.302571i
\(630\) 2.47074 0.268709i 0.0984365 0.0107056i
\(631\) 21.4358 25.2362i 0.853346 1.00464i −0.146535 0.989206i \(-0.546812\pi\)
0.999881 0.0154314i \(-0.00491215\pi\)
\(632\) 11.0666 + 2.43595i 0.440206 + 0.0968967i
\(633\) 10.7289 + 8.15591i 0.426436 + 0.324168i
\(634\) 10.1769 3.42900i 0.404177 0.136183i
\(635\) 1.59144 + 29.3524i 0.0631545 + 1.16482i
\(636\) 7.80285 4.69482i 0.309403 0.186162i
\(637\) −7.26929 + 10.7214i −0.288020 + 0.424797i
\(638\) 0.0223712 0.0170062i 0.000885685 0.000673280i
\(639\) 11.3895 5.26935i 0.450562 0.208452i
\(640\) 46.4943 + 27.9747i 1.83785 + 1.10580i
\(641\) 14.5856 27.5114i 0.576097 1.08663i −0.408658 0.912687i \(-0.634003\pi\)
0.984755 0.173946i \(-0.0556520\pi\)
\(642\) 19.9769 4.39725i 0.788426 0.173546i
\(643\) −3.67081 1.69830i −0.144762 0.0669742i 0.346170 0.938172i \(-0.387482\pi\)
−0.490933 + 0.871197i \(0.663344\pi\)
\(644\) −0.713133 1.05179i −0.0281014 0.0414464i
\(645\) −8.65167 2.91509i −0.340659 0.114781i
\(646\) −1.86825 + 6.72881i −0.0735051 + 0.264742i
\(647\) 4.69266 28.6239i 0.184487 1.12532i −0.718459 0.695570i \(-0.755152\pi\)
0.902946 0.429754i \(-0.141400\pi\)
\(648\) 1.85274 0.0727824
\(649\) −0.0142556 + 0.00380621i −0.000559583 + 0.000149407i
\(650\) 43.1328 1.69181
\(651\) −0.520842 + 3.17699i −0.0204134 + 0.124516i
\(652\) −4.58154 + 16.5012i −0.179427 + 0.646238i
\(653\) 8.45241 + 2.84795i 0.330768 + 0.111449i 0.479786 0.877386i \(-0.340714\pi\)
−0.149017 + 0.988835i \(0.547611\pi\)
\(654\) 8.00198 + 11.8020i 0.312902 + 0.461496i
\(655\) 11.6234 + 5.37757i 0.454165 + 0.210119i
\(656\) −48.8247 + 10.7471i −1.90628 + 0.419605i
\(657\) −1.77705 + 3.35187i −0.0693294 + 0.130769i
\(658\) −0.182709 0.109932i −0.00712275 0.00428561i
\(659\) 1.90985 0.883588i 0.0743970 0.0344197i −0.382338 0.924023i \(-0.624881\pi\)
0.456735 + 0.889603i \(0.349019\pi\)
\(660\) −0.00600548 + 0.00456524i −0.000233763 + 0.000177702i
\(661\) 6.69506 9.87448i 0.260408 0.384073i −0.674899 0.737910i \(-0.735813\pi\)
0.935307 + 0.353837i \(0.115123\pi\)
\(662\) 17.5141 10.5379i 0.680705 0.409566i
\(663\) −0.118755 2.19031i −0.00461207 0.0850646i
\(664\) −16.6925 + 5.62436i −0.647795 + 0.218268i
\(665\) −4.06570 3.09067i −0.157661 0.119851i
\(666\) 11.2628 + 2.47912i 0.436423 + 0.0960640i
\(667\) −22.7235 + 26.7522i −0.879858 + 1.03585i
\(668\) 1.57047 0.170799i 0.0607634 0.00660842i
\(669\) 1.60829 + 5.79254i 0.0621801 + 0.223952i
\(670\) −1.89166 + 34.8897i −0.0730814 + 1.34791i
\(671\) −0.000351895 0 0.000663744i −1.35848e−5 0 2.56236e-5i
\(672\) −1.05781 1.24536i −0.0408061 0.0480406i
\(673\) 6.91469 + 6.54995i 0.266542 + 0.252482i 0.809284 0.587417i \(-0.199855\pi\)
−0.542742 + 0.839899i \(0.682614\pi\)
\(674\) −6.80823 + 17.0874i −0.262243 + 0.658181i
\(675\) 4.97035 + 12.4746i 0.191309 + 0.480149i
\(676\) 6.28301 5.95158i 0.241654 0.228907i
\(677\) −9.94176 1.08123i −0.382093 0.0415551i −0.0849426 0.996386i \(-0.527071\pi\)
−0.297150 + 0.954831i \(0.596036\pi\)
\(678\) 0.475894 + 2.90283i 0.0182766 + 0.111482i
\(679\) 0.340810 + 2.07885i 0.0130791 + 0.0797789i
\(680\) 9.21865 + 1.00259i 0.353519 + 0.0384475i
\(681\) −5.78772 + 5.48242i −0.221786 + 0.210087i
\(682\) −0.0115246 0.0289246i −0.000441300 0.00110758i
\(683\) −0.944767 + 2.37119i −0.0361505 + 0.0907309i −0.945944 0.324331i \(-0.894861\pi\)
0.909793 + 0.415062i \(0.136240\pi\)
\(684\) 2.33000 + 2.20710i 0.0890900 + 0.0843905i
\(685\) 27.9832 + 32.9443i 1.06918 + 1.25874i
\(686\) 3.76537 + 7.10223i 0.143762 + 0.271165i
\(687\) 0.673101 12.4146i 0.0256804 0.473648i
\(688\) 2.84064 + 10.2311i 0.108298 + 0.390055i
\(689\) 18.6185 2.02488i 0.709308 0.0771419i
\(690\) 19.4364 22.8823i 0.739931 0.871115i
\(691\) −4.67820 1.02975i −0.177967 0.0391735i 0.125093 0.992145i \(-0.460077\pi\)
−0.303060 + 0.952972i \(0.598008\pi\)
\(692\) −11.2754 8.57133i −0.428626 0.325833i
\(693\) −0.000617298 0 0.000207992i −2.34492e−5 0 7.90096e-6i
\(694\) −2.52830 46.6318i −0.0959731 1.77012i
\(695\) −16.3156 + 9.81675i −0.618884 + 0.372370i
\(696\) −8.90901 + 13.1398i −0.337695 + 0.498063i
\(697\) −9.29398 + 7.06510i −0.352035 + 0.267610i
\(698\) 14.2438 6.58987i 0.539135 0.249430i
\(699\) −21.4899 12.9300i −0.812821 0.489058i
\(700\) 1.95122 3.68039i 0.0737492 0.139106i
\(701\) −42.1185 + 9.27099i −1.59079 + 0.350160i −0.920134 0.391604i \(-0.871920\pi\)
−0.670661 + 0.741764i \(0.733989\pi\)
\(702\) −2.91519 1.34871i −0.110027 0.0509038i
\(703\) −13.2990 19.6145i −0.501581 0.739776i
\(704\) −0.00320190 0.00107885i −0.000120676 4.06606e-5i
\(705\) 0.422989 1.52347i 0.0159307 0.0573771i
\(706\) −6.27015 + 38.2462i −0.235980 + 1.43941i
\(707\) −6.59843 −0.248159
\(708\) −5.85475 + 3.88544i −0.220035 + 0.146024i
\(709\) 7.36253 0.276506 0.138253 0.990397i \(-0.455851\pi\)
0.138253 + 0.990397i \(0.455851\pi\)
\(710\) 14.8799 90.7634i 0.558433 3.40629i
\(711\) 1.63623 5.89317i 0.0613635 0.221011i
\(712\) 12.5414 + 4.22569i 0.470009 + 0.158364i
\(713\) 21.8251 + 32.1896i 0.817356 + 1.20551i
\(714\) −0.612608 0.283422i −0.0229263 0.0106068i
\(715\) −0.0151518 + 0.00333515i −0.000566643 + 0.000124728i
\(716\) 6.79647 12.8195i 0.253996 0.479087i
\(717\) −9.11754 5.48584i −0.340501 0.204873i
\(718\) 14.7295 6.81461i 0.549701 0.254319i
\(719\) −8.52795 + 6.48278i −0.318039 + 0.241767i −0.751998 0.659166i \(-0.770910\pi\)
0.433959 + 0.900933i \(0.357116\pi\)
\(720\) 12.0279 17.7398i 0.448254 0.661125i
\(721\) 3.28375 1.97577i 0.122293 0.0735814i
\(722\) 0.618529 + 11.4081i 0.0230193 + 0.424565i
\(723\) 4.70525 1.58538i 0.174990 0.0589611i
\(724\) −10.0016 7.60298i −0.371705 0.282563i
\(725\) −112.372 24.7349i −4.17338 0.918630i
\(726\) −12.1580 + 14.3134i −0.451224 + 0.531222i
\(727\) 37.9787 4.13043i 1.40855 0.153189i 0.627968 0.778239i \(-0.283887\pi\)
0.780585 + 0.625050i \(0.214921\pi\)
\(728\) −0.316224 1.13894i −0.0117201 0.0422118i
\(729\) 0.0541389 0.998533i 0.00200514 0.0369827i
\(730\) 13.0241 + 24.5661i 0.482044 + 0.909231i
\(731\) 1.60522 + 1.88981i 0.0593711 + 0.0698971i
\(732\) −0.259738 0.246037i −0.00960018 0.00909378i
\(733\) −0.104894 + 0.263265i −0.00387436 + 0.00972392i −0.930901 0.365271i \(-0.880976\pi\)
0.927027 + 0.374995i \(0.122356\pi\)
\(734\) 17.8581 + 44.8205i 0.659155 + 1.65435i
\(735\) −21.4576 + 20.3258i −0.791477 + 0.749727i
\(736\) −19.6230 2.13413i −0.723313 0.0786651i
\(737\) −0.00148160 0.00903735i −5.45754e−5 0.000332895i
\(738\) 2.76573 + 16.8702i 0.101808 + 0.621000i
\(739\) −16.4792 1.79222i −0.606196 0.0659278i −0.200127 0.979770i \(-0.564135\pi\)
−0.406069 + 0.913842i \(0.633101\pi\)
\(740\) 19.2583 18.2424i 0.707950 0.670606i
\(741\) 2.44309 + 6.13170i 0.0897493 + 0.225254i
\(742\) 2.13314 5.35377i 0.0783099 0.196543i
\(743\) 15.2183 + 14.4155i 0.558305 + 0.528855i 0.913982 0.405754i \(-0.132991\pi\)
−0.355677 + 0.934609i \(0.615750\pi\)
\(744\) 11.3873 + 13.4062i 0.417479 + 0.491494i
\(745\) −10.9987 20.7458i −0.402962 0.760067i
\(746\) −0.970443 + 17.8988i −0.0355304 + 0.655320i
\(747\) 2.54348 + 9.16078i 0.0930610 + 0.335176i
\(748\) 0.00203681 0.000221516i 7.44731e−5 8.09944e-6i
\(749\) 2.63023 3.09655i 0.0961065 0.113145i
\(750\) 60.3278 + 13.2792i 2.20286 + 0.484886i
\(751\) 20.1116 + 15.2884i 0.733882 + 0.557883i 0.903996 0.427542i \(-0.140620\pi\)
−0.170114 + 0.985424i \(0.554413\pi\)
\(752\) −1.74263 + 0.587159i −0.0635470 + 0.0214115i
\(753\) 0.233933 + 4.31464i 0.00852499 + 0.157234i
\(754\) 23.5831 14.1895i 0.858845 0.516750i
\(755\) 33.4155 49.2842i 1.21611 1.79363i
\(756\) −0.246958 + 0.187732i −0.00898176 + 0.00682775i
\(757\) −21.4796 + 9.93751i −0.780688 + 0.361185i −0.769413 0.638752i \(-0.779451\pi\)
−0.0112752 + 0.999936i \(0.503589\pi\)
\(758\) 1.25827 + 0.757077i 0.0457025 + 0.0274983i
\(759\) −0.00368589 + 0.00695233i −0.000133789 + 0.000252354i
\(760\) −27.2508 + 5.99836i −0.988491 + 0.217583i
\(761\) 37.3539 + 17.2817i 1.35408 + 0.626462i 0.956668 0.291180i \(-0.0940478\pi\)
0.397408 + 0.917642i \(0.369910\pi\)
\(762\) −6.56070 9.67631i −0.237669 0.350536i
\(763\) 2.68390 + 0.904311i 0.0971637 + 0.0327383i
\(764\) 5.75151 20.7151i 0.208082 0.749445i
\(765\) 0.809724 4.93910i 0.0292756 0.178573i
\(766\) −35.5873 −1.28582
\(767\) −14.2834 + 2.19643i −0.515743 + 0.0793084i
\(768\) −18.0622 −0.651763
\(769\) −1.10865 + 6.76250i −0.0399791 + 0.243862i −0.999254 0.0386114i \(-0.987707\pi\)
0.959275 + 0.282473i \(0.0911548\pi\)
\(770\) −0.00127721 + 0.00460011i −4.60276e−5 + 0.000165776i
\(771\) 6.38202 + 2.15035i 0.229843 + 0.0774430i