Properties

Label 62.2.d.b.39.1
Level 62
Weight 2
Character 62.39
Analytic conductor 0.495
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 62 = 2 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 62.d (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.495072492532\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.1903140625.1
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 39.1
Root \(2.68070 + 1.94764i\)
Character \(\chi\) = 62.39
Dual form 62.2.d.b.35.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 + 0.951057i) q^{2} +(-1.02393 - 3.15135i) q^{3} +(-0.809017 - 0.587785i) q^{4} +2.66590 q^{5} +3.31352 q^{6} +(-0.500000 - 0.363271i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-6.45549 + 4.69019i) q^{9} +O(q^{10})\) \(q+(-0.309017 + 0.951057i) q^{2} +(-1.02393 - 3.15135i) q^{3} +(-0.809017 - 0.587785i) q^{4} +2.66590 q^{5} +3.31352 q^{6} +(-0.500000 - 0.363271i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-6.45549 + 4.69019i) q^{9} +(-0.823809 + 2.53542i) q^{10} +(1.09410 + 0.794910i) q^{11} +(-1.02393 + 3.15135i) q^{12} +(0.729710 + 2.24582i) q^{13} +(0.500000 - 0.363271i) q^{14} +(-2.72971 - 8.40118i) q^{15} +(0.309017 + 0.951057i) q^{16} +(2.15676 - 1.56698i) q^{17} +(-2.46578 - 7.58888i) q^{18} +(-1.98057 + 6.09557i) q^{19} +(-2.15676 - 1.56698i) q^{20} +(-0.632826 + 1.94764i) q^{21} +(-1.09410 + 0.794910i) q^{22} +(2.37618 - 1.72640i) q^{23} +(-2.68070 - 1.94764i) q^{24} +2.10704 q^{25} -2.36139 q^{26} +(13.3483 + 9.69812i) q^{27} +(0.190983 + 0.587785i) q^{28} +(1.17791 - 3.62524i) q^{29} +8.83353 q^{30} +(-5.42127 + 1.26880i) q^{31} -1.00000 q^{32} +(1.38475 - 4.26182i) q^{33} +(0.823809 + 2.53542i) q^{34} +(-1.33295 - 0.968446i) q^{35} +7.97942 q^{36} -4.57017 q^{37} +(-5.18520 - 3.76727i) q^{38} +(6.33017 - 4.59914i) q^{39} +(2.15676 - 1.56698i) q^{40} +(-0.676191 + 2.08110i) q^{41} +(-1.65676 - 1.20371i) q^{42} +(1.92983 - 5.93942i) q^{43} +(-0.417909 - 1.28619i) q^{44} +(-17.2097 + 12.5036i) q^{45} +(0.907621 + 2.79337i) q^{46} +(-1.50000 - 4.61653i) q^{47} +(2.68070 - 1.94764i) q^{48} +(-2.04508 - 6.29412i) q^{49} +(-0.651111 + 2.00391i) q^{50} +(-7.14647 - 5.19222i) q^{51} +(0.729710 - 2.24582i) q^{52} +(-2.78208 + 2.02130i) q^{53} +(-13.3483 + 9.69812i) q^{54} +(2.91676 + 2.11915i) q^{55} -0.618034 q^{56} +21.2372 q^{57} +(3.08381 + 2.24052i) q^{58} +(3.42591 + 10.5439i) q^{59} +(-2.72971 + 8.40118i) q^{60} -2.39097 q^{61} +(0.468562 - 5.54801i) q^{62} +4.93156 q^{63} +(0.309017 - 0.951057i) q^{64} +(1.94534 + 5.98713i) q^{65} +(3.62532 + 2.63395i) q^{66} -9.40926 q^{67} -2.66590 q^{68} +(-7.87353 - 5.72046i) q^{69} +(1.33295 - 0.968446i) q^{70} +(-6.62439 + 4.81290i) q^{71} +(-2.46578 + 7.58888i) q^{72} +(3.47792 + 2.52686i) q^{73} +(1.41226 - 4.34649i) q^{74} +(-2.15747 - 6.64001i) q^{75} +(5.18520 - 3.76727i) q^{76} +(-0.258282 - 0.794910i) q^{77} +(2.41791 + 7.44156i) q^{78} +(2.64197 - 1.91950i) q^{79} +(0.823809 + 2.53542i) q^{80} +(9.49700 - 29.2288i) q^{81} +(-1.77029 - 1.28619i) q^{82} +(-0.354102 + 1.08981i) q^{83} +(1.65676 - 1.20371i) q^{84} +(5.74971 - 4.17741i) q^{85} +(5.05237 + 3.67076i) q^{86} -12.6305 q^{87} +1.35238 q^{88} +(-6.85675 - 4.98172i) q^{89} +(-6.57352 - 20.2312i) q^{90} +(0.450985 - 1.38799i) q^{91} -2.93712 q^{92} +(9.54946 + 15.7851i) q^{93} +4.85410 q^{94} +(-5.28001 + 16.2502i) q^{95} +(1.02393 + 3.15135i) q^{96} +(2.42255 + 1.76008i) q^{97} +6.61803 q^{98} -10.7912 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} - 4q^{7} + 2q^{8} - 12q^{9} + O(q^{10}) \) \( 8q + 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} - 4q^{7} + 2q^{8} - 12q^{9} - 5q^{10} + 6q^{11} - 2q^{12} + 7q^{13} + 4q^{14} - 23q^{15} - 2q^{16} + 5q^{17} - 3q^{18} - 2q^{19} - 5q^{20} + q^{21} - 6q^{22} - 15q^{23} - 3q^{24} + 16q^{25} + 18q^{26} + 37q^{27} + 6q^{28} - 19q^{29} - 2q^{30} + 13q^{31} - 8q^{32} + 30q^{33} + 5q^{34} + 18q^{36} - 40q^{37} - 3q^{38} + 30q^{39} + 5q^{40} - 7q^{41} - q^{42} + 12q^{43} + q^{44} - 31q^{45} - 20q^{46} - 12q^{47} + 3q^{48} + 6q^{49} + 19q^{50} - 22q^{51} + 7q^{52} + 9q^{53} - 37q^{54} - 13q^{55} + 4q^{56} + 28q^{57} - q^{58} - 18q^{59} - 23q^{60} + 12q^{61} - 3q^{62} + 6q^{63} - 2q^{64} - 16q^{65} + 10q^{66} - 26q^{67} - 50q^{69} - 25q^{71} - 3q^{72} + 35q^{73} - 5q^{74} + 26q^{75} + 3q^{76} - 8q^{77} + 15q^{78} + 6q^{79} + 5q^{80} + 43q^{81} - 13q^{82} + 24q^{83} + q^{84} - q^{85} + 8q^{86} + 8q^{87} + 14q^{88} - 7q^{89} - 4q^{90} - 16q^{91} - 10q^{92} + 3q^{93} + 12q^{94} + 30q^{95} + 2q^{96} + 26q^{97} + 44q^{98} - 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 + 0.951057i −0.218508 + 0.672499i
\(3\) −1.02393 3.15135i −0.591169 1.81943i −0.572941 0.819597i \(-0.694198\pi\)
−0.0182279 0.999834i \(-0.505802\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) 2.66590 1.19223 0.596114 0.802900i \(-0.296711\pi\)
0.596114 + 0.802900i \(0.296711\pi\)
\(6\) 3.31352 1.35274
\(7\) −0.500000 0.363271i −0.188982 0.137304i 0.489271 0.872132i \(-0.337263\pi\)
−0.678253 + 0.734828i \(0.737263\pi\)
\(8\) 0.809017 0.587785i 0.286031 0.207813i
\(9\) −6.45549 + 4.69019i −2.15183 + 1.56340i
\(10\) −0.823809 + 2.53542i −0.260511 + 0.801772i
\(11\) 1.09410 + 0.794910i 0.329883 + 0.239674i 0.740381 0.672187i \(-0.234645\pi\)
−0.410498 + 0.911862i \(0.634645\pi\)
\(12\) −1.02393 + 3.15135i −0.295584 + 0.909715i
\(13\) 0.729710 + 2.24582i 0.202385 + 0.622877i 0.999811 + 0.0194599i \(0.00619466\pi\)
−0.797426 + 0.603417i \(0.793805\pi\)
\(14\) 0.500000 0.363271i 0.133631 0.0970883i
\(15\) −2.72971 8.40118i −0.704808 2.16918i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 2.15676 1.56698i 0.523091 0.380048i −0.294676 0.955597i \(-0.595212\pi\)
0.817767 + 0.575549i \(0.195212\pi\)
\(18\) −2.46578 7.58888i −0.581189 1.78872i
\(19\) −1.98057 + 6.09557i −0.454374 + 1.39842i 0.417495 + 0.908679i \(0.362908\pi\)
−0.871869 + 0.489740i \(0.837092\pi\)
\(20\) −2.15676 1.56698i −0.482266 0.350387i
\(21\) −0.632826 + 1.94764i −0.138094 + 0.425010i
\(22\) −1.09410 + 0.794910i −0.233263 + 0.169475i
\(23\) 2.37618 1.72640i 0.495468 0.359979i −0.311815 0.950143i \(-0.600937\pi\)
0.807283 + 0.590164i \(0.200937\pi\)
\(24\) −2.68070 1.94764i −0.547195 0.397560i
\(25\) 2.10704 0.421408
\(26\) −2.36139 −0.463107
\(27\) 13.3483 + 9.69812i 2.56889 + 1.86640i
\(28\) 0.190983 + 0.587785i 0.0360924 + 0.111081i
\(29\) 1.17791 3.62524i 0.218733 0.673190i −0.780135 0.625611i \(-0.784850\pi\)
0.998868 0.0475784i \(-0.0151504\pi\)
\(30\) 8.83353 1.61277
\(31\) −5.42127 + 1.26880i −0.973688 + 0.227884i
\(32\) −1.00000 −0.176777
\(33\) 1.38475 4.26182i 0.241054 0.741888i
\(34\) 0.823809 + 2.53542i 0.141282 + 0.434822i
\(35\) −1.33295 0.968446i −0.225310 0.163697i
\(36\) 7.97942 1.32990
\(37\) −4.57017 −0.751331 −0.375665 0.926755i \(-0.622586\pi\)
−0.375665 + 0.926755i \(0.622586\pi\)
\(38\) −5.18520 3.76727i −0.841150 0.611132i
\(39\) 6.33017 4.59914i 1.01364 0.736451i
\(40\) 2.15676 1.56698i 0.341014 0.247761i
\(41\) −0.676191 + 2.08110i −0.105603 + 0.325013i −0.989872 0.141966i \(-0.954658\pi\)
0.884268 + 0.466979i \(0.154658\pi\)
\(42\) −1.65676 1.20371i −0.255644 0.185736i
\(43\) 1.92983 5.93942i 0.294297 0.905753i −0.689160 0.724610i \(-0.742020\pi\)
0.983457 0.181144i \(-0.0579799\pi\)
\(44\) −0.417909 1.28619i −0.0630021 0.193901i
\(45\) −17.2097 + 12.5036i −2.56547 + 1.86392i
\(46\) 0.907621 + 2.79337i 0.133821 + 0.411860i
\(47\) −1.50000 4.61653i −0.218797 0.673389i −0.998862 0.0476905i \(-0.984814\pi\)
0.780065 0.625699i \(-0.215186\pi\)
\(48\) 2.68070 1.94764i 0.386925 0.281117i
\(49\) −2.04508 6.29412i −0.292155 0.899161i
\(50\) −0.651111 + 2.00391i −0.0920809 + 0.283396i
\(51\) −7.14647 5.19222i −1.00071 0.727056i
\(52\) 0.729710 2.24582i 0.101193 0.311439i
\(53\) −2.78208 + 2.02130i −0.382148 + 0.277647i −0.762231 0.647306i \(-0.775896\pi\)
0.380082 + 0.924953i \(0.375896\pi\)
\(54\) −13.3483 + 9.69812i −1.81648 + 1.31975i
\(55\) 2.91676 + 2.11915i 0.393296 + 0.285746i
\(56\) −0.618034 −0.0825883
\(57\) 21.2372 2.81294
\(58\) 3.08381 + 2.24052i 0.404924 + 0.294195i
\(59\) 3.42591 + 10.5439i 0.446015 + 1.37269i 0.881367 + 0.472432i \(0.156624\pi\)
−0.435352 + 0.900260i \(0.643376\pi\)
\(60\) −2.72971 + 8.40118i −0.352404 + 1.08459i
\(61\) −2.39097 −0.306133 −0.153066 0.988216i \(-0.548915\pi\)
−0.153066 + 0.988216i \(0.548915\pi\)
\(62\) 0.468562 5.54801i 0.0595074 0.704598i
\(63\) 4.93156 0.621318
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) 1.94534 + 5.98713i 0.241289 + 0.742612i
\(66\) 3.62532 + 2.63395i 0.446246 + 0.324217i
\(67\) −9.40926 −1.14952 −0.574762 0.818321i \(-0.694905\pi\)
−0.574762 + 0.818321i \(0.694905\pi\)
\(68\) −2.66590 −0.323288
\(69\) −7.87353 5.72046i −0.947862 0.688662i
\(70\) 1.33295 0.968446i 0.159318 0.115751i
\(71\) −6.62439 + 4.81290i −0.786171 + 0.571186i −0.906825 0.421508i \(-0.861501\pi\)
0.120654 + 0.992695i \(0.461501\pi\)
\(72\) −2.46578 + 7.58888i −0.290595 + 0.894358i
\(73\) 3.47792 + 2.52686i 0.407060 + 0.295746i 0.772410 0.635124i \(-0.219051\pi\)
−0.365351 + 0.930870i \(0.619051\pi\)
\(74\) 1.41226 4.34649i 0.164172 0.505269i
\(75\) −2.15747 6.64001i −0.249123 0.766722i
\(76\) 5.18520 3.76727i 0.594783 0.432135i
\(77\) −0.258282 0.794910i −0.0294340 0.0905884i
\(78\) 2.41791 + 7.44156i 0.273774 + 0.842591i
\(79\) 2.64197 1.91950i 0.297245 0.215961i −0.429159 0.903229i \(-0.641190\pi\)
0.726404 + 0.687268i \(0.241190\pi\)
\(80\) 0.823809 + 2.53542i 0.0921047 + 0.283469i
\(81\) 9.49700 29.2288i 1.05522 3.24764i
\(82\) −1.77029 1.28619i −0.195496 0.142036i
\(83\) −0.354102 + 1.08981i −0.0388677 + 0.119623i −0.968608 0.248594i \(-0.920032\pi\)
0.929740 + 0.368217i \(0.120032\pi\)
\(84\) 1.65676 1.20371i 0.180767 0.131335i
\(85\) 5.74971 4.17741i 0.623644 0.453104i
\(86\) 5.05237 + 3.67076i 0.544811 + 0.395829i
\(87\) −12.6305 −1.35413
\(88\) 1.35238 0.144164
\(89\) −6.85675 4.98172i −0.726814 0.528062i 0.161740 0.986833i \(-0.448289\pi\)
−0.888554 + 0.458772i \(0.848289\pi\)
\(90\) −6.57352 20.2312i −0.692910 2.13256i
\(91\) 0.450985 1.38799i 0.0472761 0.145501i
\(92\) −2.93712 −0.306216
\(93\) 9.54946 + 15.7851i 0.990232 + 1.63684i
\(94\) 4.85410 0.500662
\(95\) −5.28001 + 16.2502i −0.541717 + 1.66723i
\(96\) 1.02393 + 3.15135i 0.104505 + 0.321633i
\(97\) 2.42255 + 1.76008i 0.245972 + 0.178709i 0.703940 0.710260i \(-0.251422\pi\)
−0.457968 + 0.888969i \(0.651422\pi\)
\(98\) 6.61803 0.668522
\(99\) −10.7912 −1.08456
\(100\) −1.70463 1.23849i −0.170463 0.123849i
\(101\) 14.3438 10.4214i 1.42726 1.03697i 0.436745 0.899586i \(-0.356131\pi\)
0.990518 0.137382i \(-0.0438687\pi\)
\(102\) 7.14647 5.19222i 0.707606 0.514106i
\(103\) −0.170541 + 0.524870i −0.0168039 + 0.0517170i −0.959107 0.283044i \(-0.908656\pi\)
0.942303 + 0.334761i \(0.108656\pi\)
\(104\) 1.91040 + 1.38799i 0.187331 + 0.136104i
\(105\) −1.68705 + 5.19222i −0.164640 + 0.506708i
\(106\) −1.06266 3.27053i −0.103215 0.317662i
\(107\) 7.50150 5.45016i 0.725198 0.526887i −0.162843 0.986652i \(-0.552066\pi\)
0.888041 + 0.459765i \(0.152066\pi\)
\(108\) −5.09860 15.6919i −0.490613 1.50995i
\(109\) 5.94070 + 18.2836i 0.569016 + 1.75125i 0.655708 + 0.755015i \(0.272370\pi\)
−0.0866920 + 0.996235i \(0.527630\pi\)
\(110\) −2.91676 + 2.11915i −0.278102 + 0.202053i
\(111\) 4.67955 + 14.4022i 0.444163 + 1.36699i
\(112\) 0.190983 0.587785i 0.0180462 0.0555405i
\(113\) 10.9718 + 7.97147i 1.03214 + 0.749893i 0.968736 0.248095i \(-0.0798046\pi\)
0.0634032 + 0.997988i \(0.479805\pi\)
\(114\) −6.56266 + 20.1978i −0.614650 + 1.89170i
\(115\) 6.33467 4.60241i 0.590711 0.429177i
\(116\) −3.08381 + 2.24052i −0.286325 + 0.208027i
\(117\) −15.2439 11.0754i −1.40930 1.02392i
\(118\) −11.0865 −1.02059
\(119\) −1.64762 −0.151037
\(120\) −7.14647 5.19222i −0.652381 0.473982i
\(121\) −2.83401 8.72220i −0.257638 0.792927i
\(122\) 0.738852 2.27395i 0.0668925 0.205874i
\(123\) 7.25064 0.653769
\(124\) 5.13168 + 2.16006i 0.460839 + 0.193979i
\(125\) −7.71236 −0.689814
\(126\) −1.52393 + 4.69019i −0.135763 + 0.417835i
\(127\) −4.36324 13.4287i −0.387175 1.19160i −0.934890 0.354938i \(-0.884502\pi\)
0.547715 0.836665i \(-0.315498\pi\)
\(128\) 0.809017 + 0.587785i 0.0715077 + 0.0519534i
\(129\) −20.6932 −1.82193
\(130\) −6.29524 −0.552129
\(131\) 1.92684 + 1.39993i 0.168348 + 0.122312i 0.668769 0.743470i \(-0.266821\pi\)
−0.500421 + 0.865782i \(0.666821\pi\)
\(132\) −3.62532 + 2.63395i −0.315544 + 0.229256i
\(133\) 3.20463 2.32830i 0.277877 0.201889i
\(134\) 2.90762 8.94874i 0.251180 0.773053i
\(135\) 35.5853 + 25.8542i 3.06270 + 2.22518i
\(136\) 0.823809 2.53542i 0.0706411 0.217411i
\(137\) −3.97200 12.2246i −0.339351 1.04442i −0.964539 0.263941i \(-0.914978\pi\)
0.625188 0.780474i \(-0.285022\pi\)
\(138\) 7.87353 5.72046i 0.670240 0.486958i
\(139\) 1.71841 + 5.28872i 0.145754 + 0.448583i 0.997107 0.0760089i \(-0.0242178\pi\)
−0.851354 + 0.524592i \(0.824218\pi\)
\(140\) 0.509142 + 1.56698i 0.0430304 + 0.132434i
\(141\) −13.0124 + 9.45404i −1.09584 + 0.796174i
\(142\) −2.53029 7.78744i −0.212337 0.653507i
\(143\) −0.986846 + 3.03720i −0.0825242 + 0.253983i
\(144\) −6.45549 4.69019i −0.537957 0.390849i
\(145\) 3.14020 9.66453i 0.260779 0.802596i
\(146\) −3.47792 + 2.52686i −0.287835 + 0.209124i
\(147\) −17.7409 + 12.8895i −1.46325 + 1.06311i
\(148\) 3.69734 + 2.68628i 0.303920 + 0.220810i
\(149\) 6.23236 0.510575 0.255287 0.966865i \(-0.417830\pi\)
0.255287 + 0.966865i \(0.417830\pi\)
\(150\) 6.98172 0.570055
\(151\) −12.8765 9.35536i −1.04788 0.761328i −0.0760703 0.997102i \(-0.524237\pi\)
−0.971808 + 0.235774i \(0.924237\pi\)
\(152\) 1.98057 + 6.09557i 0.160645 + 0.494416i
\(153\) −6.57352 + 20.2312i −0.531438 + 1.63560i
\(154\) 0.835818 0.0673521
\(155\) −14.4526 + 3.38250i −1.16086 + 0.271689i
\(156\) −7.82452 −0.626463
\(157\) −1.96856 + 6.05861i −0.157108 + 0.483530i −0.998368 0.0571009i \(-0.981814\pi\)
0.841260 + 0.540631i \(0.181814\pi\)
\(158\) 1.00914 + 3.10582i 0.0802830 + 0.247086i
\(159\) 9.21849 + 6.69763i 0.731074 + 0.531156i
\(160\) −2.66590 −0.210758
\(161\) −1.81524 −0.143061
\(162\) 24.8635 + 18.0644i 1.95346 + 1.41927i
\(163\) 2.30151 1.67215i 0.180268 0.130973i −0.493992 0.869467i \(-0.664463\pi\)
0.674260 + 0.738494i \(0.264463\pi\)
\(164\) 1.77029 1.28619i 0.138236 0.100435i
\(165\) 3.69161 11.3616i 0.287391 0.884500i
\(166\) −0.927051 0.673542i −0.0719531 0.0522770i
\(167\) −0.779432 + 2.39885i −0.0603143 + 0.185628i −0.976674 0.214728i \(-0.931114\pi\)
0.916360 + 0.400356i \(0.131114\pi\)
\(168\) 0.632826 + 1.94764i 0.0488236 + 0.150264i
\(169\) 6.00601 4.36362i 0.462001 0.335663i
\(170\) 2.19620 + 6.75919i 0.168441 + 0.518407i
\(171\) −15.8038 48.6391i −1.20855 3.71953i
\(172\) −5.05237 + 3.67076i −0.385240 + 0.279893i
\(173\) −3.56152 10.9612i −0.270777 0.833366i −0.990306 0.138903i \(-0.955642\pi\)
0.719529 0.694462i \(-0.244358\pi\)
\(174\) 3.90303 12.0123i 0.295888 0.910650i
\(175\) −1.05352 0.765426i −0.0796386 0.0578608i
\(176\) −0.417909 + 1.28619i −0.0315011 + 0.0969503i
\(177\) 29.7194 21.5924i 2.23385 1.62299i
\(178\) 6.85675 4.98172i 0.513935 0.373396i
\(179\) 14.9497 + 10.8616i 1.11739 + 0.811834i 0.983812 0.179204i \(-0.0573522\pi\)
0.133582 + 0.991038i \(0.457352\pi\)
\(180\) 21.2724 1.58555
\(181\) −2.75492 −0.204772 −0.102386 0.994745i \(-0.532648\pi\)
−0.102386 + 0.994745i \(0.532648\pi\)
\(182\) 1.18070 + 0.857825i 0.0875189 + 0.0635862i
\(183\) 2.44820 + 7.53479i 0.180976 + 0.556988i
\(184\) 0.907621 2.79337i 0.0669107 0.205930i
\(185\) −12.1836 −0.895757
\(186\) −17.9635 + 4.20420i −1.31715 + 0.308267i
\(187\) 3.60532 0.263647
\(188\) −1.50000 + 4.61653i −0.109399 + 0.336695i
\(189\) −3.15111 9.69812i −0.229210 0.705435i
\(190\) −13.8232 10.0432i −1.00284 0.728608i
\(191\) 15.8370 1.14592 0.572961 0.819582i \(-0.305794\pi\)
0.572961 + 0.819582i \(0.305794\pi\)
\(192\) −3.31352 −0.239133
\(193\) −2.49536 1.81299i −0.179620 0.130502i 0.494342 0.869267i \(-0.335409\pi\)
−0.673962 + 0.738766i \(0.735409\pi\)
\(194\) −2.42255 + 1.76008i −0.173929 + 0.126367i
\(195\) 16.8756 12.2608i 1.20849 0.878018i
\(196\) −2.04508 + 6.29412i −0.146077 + 0.449580i
\(197\) −18.2409 13.2528i −1.29961 0.944224i −0.299661 0.954046i \(-0.596874\pi\)
−0.999952 + 0.00982201i \(0.996874\pi\)
\(198\) 3.33467 10.2631i 0.236985 0.729364i
\(199\) −2.80160 8.62242i −0.198600 0.611227i −0.999916 0.0129859i \(-0.995866\pi\)
0.801316 0.598242i \(-0.204134\pi\)
\(200\) 1.70463 1.23849i 0.120536 0.0875742i
\(201\) 9.63446 + 29.6518i 0.679563 + 2.09148i
\(202\) 5.47885 + 16.8622i 0.385491 + 1.18642i
\(203\) −1.90590 + 1.38472i −0.133768 + 0.0971881i
\(204\) 2.72971 + 8.40118i 0.191118 + 0.588200i
\(205\) −1.80266 + 5.54801i −0.125903 + 0.387490i
\(206\) −0.446481 0.324387i −0.0311078 0.0226011i
\(207\) −7.24229 + 22.2895i −0.503374 + 1.54923i
\(208\) −1.91040 + 1.38799i −0.132463 + 0.0962398i
\(209\) −7.01237 + 5.09478i −0.485056 + 0.352414i
\(210\) −4.41676 3.20897i −0.304786 0.221440i
\(211\) 10.9297 0.752431 0.376216 0.926532i \(-0.377225\pi\)
0.376216 + 0.926532i \(0.377225\pi\)
\(212\) 3.43884 0.236181
\(213\) 21.9501 + 15.9477i 1.50399 + 1.09272i
\(214\) 2.86532 + 8.81855i 0.195869 + 0.602824i
\(215\) 5.14475 15.8339i 0.350869 1.07986i
\(216\) 16.4994 1.12264
\(217\) 3.17155 + 1.33499i 0.215299 + 0.0906250i
\(218\) −19.2245 −1.30205
\(219\) 4.40184 13.5475i 0.297449 0.915453i
\(220\) −1.11410 3.42886i −0.0751129 0.231174i
\(221\) 5.09295 + 3.70025i 0.342589 + 0.248906i
\(222\) −15.1433 −1.01635
\(223\) −12.2416 −0.819761 −0.409880 0.912139i \(-0.634430\pi\)
−0.409880 + 0.912139i \(0.634430\pi\)
\(224\) 0.500000 + 0.363271i 0.0334077 + 0.0242721i
\(225\) −13.6020 + 9.88240i −0.906798 + 0.658827i
\(226\) −10.9718 + 7.97147i −0.729832 + 0.530254i
\(227\) 2.45849 7.56645i 0.163176 0.502203i −0.835722 0.549153i \(-0.814950\pi\)
0.998897 + 0.0469503i \(0.0149503\pi\)
\(228\) −17.1813 12.4829i −1.13786 0.826702i
\(229\) −6.66820 + 20.5226i −0.440647 + 1.35617i 0.446541 + 0.894763i \(0.352656\pi\)
−0.887188 + 0.461409i \(0.847344\pi\)
\(230\) 2.41963 + 7.44685i 0.159546 + 0.491031i
\(231\) −2.24057 + 1.62787i −0.147419 + 0.107106i
\(232\) −1.17791 3.62524i −0.0773337 0.238009i
\(233\) −1.59525 4.90966i −0.104508 0.321643i 0.885107 0.465388i \(-0.154085\pi\)
−0.989615 + 0.143746i \(0.954085\pi\)
\(234\) 15.2439 11.0754i 0.996527 0.724019i
\(235\) −3.99885 12.3072i −0.260856 0.802834i
\(236\) 3.42591 10.5439i 0.223007 0.686346i
\(237\) −8.75422 6.36031i −0.568648 0.413147i
\(238\) 0.509142 1.56698i 0.0330028 0.101572i
\(239\) −5.15676 + 3.74661i −0.333563 + 0.242348i −0.741941 0.670465i \(-0.766095\pi\)
0.408378 + 0.912813i \(0.366095\pi\)
\(240\) 7.14647 5.19222i 0.461303 0.335156i
\(241\) 22.5517 + 16.3847i 1.45268 + 1.05543i 0.985196 + 0.171433i \(0.0548398\pi\)
0.467485 + 0.884001i \(0.345160\pi\)
\(242\) 9.17106 0.589538
\(243\) −52.3360 −3.35735
\(244\) 1.93434 + 1.40538i 0.123833 + 0.0899702i
\(245\) −5.45200 16.7795i −0.348315 1.07200i
\(246\) −2.24057 + 6.89577i −0.142854 + 0.439658i
\(247\) −15.1348 −0.963002
\(248\) −3.64011 + 4.21302i −0.231148 + 0.267527i
\(249\) 3.79696 0.240622
\(250\) 2.38325 7.33489i 0.150730 0.463899i
\(251\) 8.46401 + 26.0495i 0.534243 + 1.64423i 0.745278 + 0.666753i \(0.232317\pi\)
−0.211035 + 0.977478i \(0.567683\pi\)
\(252\) −3.98971 2.89870i −0.251328 0.182601i
\(253\) 3.97211 0.249724
\(254\) 14.1198 0.885952
\(255\) −19.0518 13.8419i −1.19307 0.866816i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −8.96914 + 6.51646i −0.559479 + 0.406486i −0.831268 0.555871i \(-0.812385\pi\)
0.271789 + 0.962357i \(0.412385\pi\)
\(258\) 6.39455 19.6804i 0.398107 1.22525i
\(259\) 2.28508 + 1.66021i 0.141988 + 0.103160i
\(260\) 1.94534 5.98713i 0.120645 0.371306i
\(261\) 9.39905 + 28.9273i 0.581787 + 1.79056i
\(262\) −1.92684 + 1.39993i −0.119040 + 0.0864878i
\(263\) −7.74685 23.8423i −0.477691 1.47018i −0.842294 0.539019i \(-0.818795\pi\)
0.364603 0.931163i \(-0.381205\pi\)
\(264\) −1.38475 4.26182i −0.0852255 0.262297i
\(265\) −7.41676 + 5.38859i −0.455608 + 0.331019i
\(266\) 1.22406 + 3.76727i 0.0750519 + 0.230986i
\(267\) −8.67827 + 26.7090i −0.531101 + 1.63456i
\(268\) 7.61225 + 5.53062i 0.464992 + 0.337837i
\(269\) 8.14533 25.0687i 0.496629 1.52847i −0.317773 0.948167i \(-0.602935\pi\)
0.814402 0.580301i \(-0.197065\pi\)
\(270\) −35.5853 + 25.8542i −2.16565 + 1.57344i
\(271\) 21.4162 15.5598i 1.30094 0.945189i 0.300977 0.953632i \(-0.402687\pi\)
0.999964 + 0.00844252i \(0.00268737\pi\)
\(272\) 2.15676 + 1.56698i 0.130773 + 0.0950120i
\(273\) −4.83582 −0.292677
\(274\) 12.8537 0.776519
\(275\) 2.30531 + 1.67491i 0.139015 + 0.101001i
\(276\) 3.00742 + 9.25589i 0.181026 + 0.557139i
\(277\) −7.80959 + 24.0355i −0.469233 + 1.44415i 0.384347 + 0.923189i \(0.374427\pi\)
−0.853580 + 0.520962i \(0.825573\pi\)
\(278\) −5.56089 −0.333520
\(279\) 29.0460 33.6175i 1.73894 2.01263i
\(280\) −1.64762 −0.0984640
\(281\) −2.94171 + 9.05365i −0.175488 + 0.540096i −0.999655 0.0262502i \(-0.991643\pi\)
0.824168 + 0.566346i \(0.191643\pi\)
\(282\) −4.97028 15.2970i −0.295976 0.910920i
\(283\) 26.0144 + 18.9006i 1.54640 + 1.12352i 0.946158 + 0.323704i \(0.104928\pi\)
0.600240 + 0.799820i \(0.295072\pi\)
\(284\) 8.18820 0.485880
\(285\) 56.6164 3.35366
\(286\) −2.58360 1.87709i −0.152771 0.110995i
\(287\) 1.09410 0.794910i 0.0645827 0.0469220i
\(288\) 6.45549 4.69019i 0.380393 0.276372i
\(289\) −3.05709 + 9.40877i −0.179829 + 0.553457i
\(290\) 8.22114 + 5.97301i 0.482762 + 0.350747i
\(291\) 3.06610 9.43649i 0.179738 0.553177i
\(292\) −1.32845 4.08854i −0.0777415 0.239264i
\(293\) 3.03051 2.20179i 0.177044 0.128630i −0.495734 0.868474i \(-0.665101\pi\)
0.672778 + 0.739844i \(0.265101\pi\)
\(294\) −6.77643 20.8557i −0.395210 1.21633i
\(295\) 9.13313 + 28.1089i 0.531751 + 1.63656i
\(296\) −3.69734 + 2.68628i −0.214904 + 0.156137i
\(297\) 6.89526 + 21.2214i 0.400103 + 1.23139i
\(298\) −1.92591 + 5.92733i −0.111565 + 0.343361i
\(299\) 5.61109 + 4.07670i 0.324498 + 0.235762i
\(300\) −2.15747 + 6.64001i −0.124562 + 0.383361i
\(301\) −3.12254 + 2.26866i −0.179980 + 0.130763i
\(302\) 12.8765 9.35536i 0.740962 0.538340i
\(303\) −47.5285 34.5315i −2.73044 1.98378i
\(304\) −6.40926 −0.367596
\(305\) −6.37411 −0.364980
\(306\) −17.2097 12.5036i −0.983814 0.714782i
\(307\) 5.85446 + 18.0182i 0.334132 + 1.02835i 0.967148 + 0.254213i \(0.0818164\pi\)
−0.633017 + 0.774138i \(0.718184\pi\)
\(308\) −0.258282 + 0.794910i −0.0147170 + 0.0452942i
\(309\) 1.82867 0.104029
\(310\) 1.24914 14.7905i 0.0709464 0.840042i
\(311\) 3.89253 0.220725 0.110363 0.993891i \(-0.464799\pi\)
0.110363 + 0.993891i \(0.464799\pi\)
\(312\) 2.41791 7.44156i 0.136887 0.421295i
\(313\) −4.96979 15.2954i −0.280909 0.864549i −0.987595 0.157022i \(-0.949811\pi\)
0.706686 0.707527i \(-0.250189\pi\)
\(314\) −5.15376 3.74443i −0.290844 0.211310i
\(315\) 13.1470 0.740752
\(316\) −3.26565 −0.183707
\(317\) −27.8354 20.2236i −1.56339 1.13587i −0.933159 0.359463i \(-0.882960\pi\)
−0.630232 0.776407i \(-0.717040\pi\)
\(318\) −9.21849 + 6.69763i −0.516947 + 0.375584i
\(319\) 4.17049 3.03004i 0.233503 0.169650i
\(320\) 0.823809 2.53542i 0.0460523 0.141735i
\(321\) −24.8564 18.0592i −1.38735 1.00797i
\(322\) 0.560941 1.72640i 0.0312600 0.0962084i
\(323\) 5.28001 + 16.2502i 0.293787 + 0.904185i
\(324\) −24.8635 + 18.0644i −1.38130 + 1.00358i
\(325\) 1.53753 + 4.73202i 0.0852866 + 0.262485i
\(326\) 0.879100 + 2.70559i 0.0486888 + 0.149849i
\(327\) 51.5350 37.4424i 2.84989 2.07057i
\(328\) 0.676191 + 2.08110i 0.0373364 + 0.114910i
\(329\) −0.927051 + 2.85317i −0.0511100 + 0.157300i
\(330\) 9.66476 + 7.02186i 0.532027 + 0.386541i
\(331\) 6.66489 20.5124i 0.366336 1.12746i −0.582805 0.812612i \(-0.698045\pi\)
0.949141 0.314853i \(-0.101955\pi\)
\(332\) 0.927051 0.673542i 0.0508785 0.0369654i
\(333\) 29.5027 21.4349i 1.61674 1.17463i
\(334\) −2.04058 1.48257i −0.111656 0.0811225i
\(335\) −25.0842 −1.37049
\(336\) −2.04787 −0.111720
\(337\) −6.29422 4.57302i −0.342868 0.249108i 0.403003 0.915199i \(-0.367966\pi\)
−0.745871 + 0.666090i \(0.767966\pi\)
\(338\) 2.29409 + 7.06049i 0.124782 + 0.384040i
\(339\) 13.8865 42.7382i 0.754210 2.32122i
\(340\) −7.10704 −0.385433
\(341\) −6.93999 2.92122i −0.375822 0.158193i
\(342\) 51.1422 2.76545
\(343\) −2.60081 + 8.00448i −0.140431 + 0.432201i
\(344\) −1.92983 5.93942i −0.104050 0.320232i
\(345\) −20.9901 15.2502i −1.13007 0.821042i
\(346\) 11.5253 0.619604
\(347\) 8.97598 0.481856 0.240928 0.970543i \(-0.422548\pi\)
0.240928 + 0.970543i \(0.422548\pi\)
\(348\) 10.2183 + 7.42401i 0.547757 + 0.397969i
\(349\) −14.6444 + 10.6398i −0.783897 + 0.569534i −0.906146 0.422965i \(-0.860989\pi\)
0.122249 + 0.992499i \(0.460989\pi\)
\(350\) 1.05352 0.765426i 0.0563130 0.0409138i
\(351\) −12.0398 + 37.0547i −0.642637 + 1.97783i
\(352\) −1.09410 0.794910i −0.0583157 0.0423688i
\(353\) −8.65884 + 26.6492i −0.460863 + 1.41839i 0.403248 + 0.915091i \(0.367881\pi\)
−0.864111 + 0.503301i \(0.832119\pi\)
\(354\) 11.3518 + 34.9373i 0.603342 + 1.85690i
\(355\) −17.6600 + 12.8307i −0.937295 + 0.680984i
\(356\) 2.61905 + 8.06060i 0.138809 + 0.427211i
\(357\) 1.68705 + 5.19222i 0.0892883 + 0.274801i
\(358\) −14.9497 + 10.8616i −0.790117 + 0.574053i
\(359\) 2.85238 + 8.77873i 0.150543 + 0.463324i 0.997682 0.0680476i \(-0.0216770\pi\)
−0.847139 + 0.531371i \(0.821677\pi\)
\(360\) −6.57352 + 20.2312i −0.346455 + 1.06628i
\(361\) −17.8620 12.9775i −0.940103 0.683025i
\(362\) 0.851318 2.62009i 0.0447443 0.137709i
\(363\) −24.5848 + 17.8619i −1.29037 + 0.937508i
\(364\) −1.18070 + 0.857825i −0.0618852 + 0.0449623i
\(365\) 9.27180 + 6.73635i 0.485308 + 0.352597i
\(366\) −7.92255 −0.414118
\(367\) −11.1699 −0.583065 −0.291532 0.956561i \(-0.594165\pi\)
−0.291532 + 0.956561i \(0.594165\pi\)
\(368\) 2.37618 + 1.72640i 0.123867 + 0.0899947i
\(369\) −5.39561 16.6060i −0.280884 0.864473i
\(370\) 3.76494 11.5873i 0.195730 0.602395i
\(371\) 2.12532 0.110341
\(372\) 1.55259 18.3835i 0.0804980 0.953138i
\(373\) −1.84237 −0.0953943 −0.0476972 0.998862i \(-0.515188\pi\)
−0.0476972 + 0.998862i \(0.515188\pi\)
\(374\) −1.11410 + 3.42886i −0.0576090 + 0.177302i
\(375\) 7.89695 + 24.3043i 0.407797 + 1.25507i
\(376\) −3.92705 2.85317i −0.202522 0.147141i
\(377\) 9.00115 0.463583
\(378\) 10.1972 0.524488
\(379\) 14.5892 + 10.5997i 0.749399 + 0.544470i 0.895640 0.444779i \(-0.146718\pi\)
−0.146242 + 0.989249i \(0.546718\pi\)
\(380\) 13.8232 10.0432i 0.709117 0.515204i
\(381\) −37.8508 + 27.5002i −1.93915 + 1.40888i
\(382\) −4.89389 + 15.0619i −0.250393 + 0.770631i
\(383\) −8.15676 5.92623i −0.416791 0.302816i 0.359554 0.933124i \(-0.382929\pi\)
−0.776345 + 0.630308i \(0.782929\pi\)
\(384\) 1.02393 3.15135i 0.0522524 0.160816i
\(385\) −0.688554 2.11915i −0.0350920 0.108002i
\(386\) 2.49536 1.81299i 0.127011 0.0922786i
\(387\) 15.3990 + 47.3932i 0.782774 + 2.40913i
\(388\) −0.925330 2.84787i −0.0469765 0.144579i
\(389\) 9.44035 6.85881i 0.478645 0.347756i −0.322156 0.946687i \(-0.604408\pi\)
0.800801 + 0.598931i \(0.204408\pi\)
\(390\) 6.44591 + 19.8385i 0.326401 + 1.00456i
\(391\) 2.41963 7.44685i 0.122366 0.376604i
\(392\) −5.35410 3.88998i −0.270423 0.196474i
\(393\) 2.43870 7.50556i 0.123016 0.378605i
\(394\) 18.2409 13.2528i 0.918965 0.667667i
\(395\) 7.04323 5.11721i 0.354383 0.257475i
\(396\) 8.73028 + 6.34292i 0.438713 + 0.318744i
\(397\) 21.0966 1.05881 0.529405 0.848370i \(-0.322415\pi\)
0.529405 + 0.848370i \(0.322415\pi\)
\(398\) 9.06615 0.454445
\(399\) −10.6186 7.71487i −0.531595 0.386227i
\(400\) 0.651111 + 2.00391i 0.0325555 + 0.100196i
\(401\) 3.40590 10.4823i 0.170083 0.523460i −0.829292 0.558815i \(-0.811256\pi\)
0.999375 + 0.0353548i \(0.0112561\pi\)
\(402\) −31.1778 −1.55501
\(403\) −6.80545 11.2493i −0.339003 0.560368i
\(404\) −17.7299 −0.882097
\(405\) 25.3181 77.9210i 1.25807 3.87193i
\(406\) −0.727989 2.24052i −0.0361295 0.111195i
\(407\) −5.00022 3.63287i −0.247851 0.180075i
\(408\) −8.83353 −0.437325
\(409\) −27.6133 −1.36539 −0.682696 0.730702i \(-0.739193\pi\)
−0.682696 + 0.730702i \(0.739193\pi\)
\(410\) −4.71942 3.42886i −0.233076 0.169339i
\(411\) −34.4568 + 25.0343i −1.69963 + 1.23485i
\(412\) 0.446481 0.324387i 0.0219965 0.0159814i
\(413\) 2.11733 6.51646i 0.104187 0.320654i
\(414\) −18.9606 13.7757i −0.931861 0.677037i
\(415\) −0.944001 + 2.90534i −0.0463392 + 0.142617i
\(416\) −0.729710 2.24582i −0.0357770 0.110110i
\(417\) 14.9071 10.8306i 0.730001 0.530377i
\(418\) −2.67849 8.24353i −0.131009 0.403204i
\(419\) −1.32037 4.06368i −0.0645042 0.198524i 0.913610 0.406591i \(-0.133283\pi\)
−0.978114 + 0.208068i \(0.933283\pi\)
\(420\) 4.41676 3.20897i 0.215516 0.156582i
\(421\) −11.5717 35.6139i −0.563969 1.73572i −0.670996 0.741461i \(-0.734133\pi\)
0.107027 0.994256i \(-0.465867\pi\)
\(422\) −3.37746 + 10.3948i −0.164412 + 0.506009i
\(423\) 31.3356 + 22.7667i 1.52359 + 1.10695i
\(424\) −1.06266 + 3.27053i −0.0516074 + 0.158831i
\(425\) 4.54438 3.30168i 0.220435 0.160155i
\(426\) −21.9501 + 15.9477i −1.06348 + 0.772666i
\(427\) 1.19549 + 0.868572i 0.0578537 + 0.0420332i
\(428\) −9.27237 −0.448197
\(429\) 10.5817 0.510891
\(430\) 13.4691 + 9.78590i 0.649539 + 0.471918i
\(431\) −0.799437 2.46041i −0.0385075 0.118514i 0.929955 0.367674i \(-0.119846\pi\)
−0.968462 + 0.249160i \(0.919846\pi\)
\(432\) −5.09860 + 15.6919i −0.245307 + 0.754976i
\(433\) 25.5179 1.22631 0.613155 0.789962i \(-0.289900\pi\)
0.613155 + 0.789962i \(0.289900\pi\)
\(434\) −2.24971 + 2.60379i −0.107990 + 0.124986i
\(435\) −33.6716 −1.61443
\(436\) 5.94070 18.2836i 0.284508 0.875625i
\(437\) 5.81718 + 17.9034i 0.278273 + 0.856437i
\(438\) 11.5242 + 8.37279i 0.550646 + 0.400068i
\(439\) −24.1961 −1.15482 −0.577408 0.816456i \(-0.695936\pi\)
−0.577408 + 0.816456i \(0.695936\pi\)
\(440\) 3.60532 0.171877
\(441\) 42.7227 + 31.0398i 2.03441 + 1.47809i
\(442\) −5.09295 + 3.70025i −0.242247 + 0.176003i
\(443\) 14.2301 10.3388i 0.676091 0.491209i −0.195968 0.980610i \(-0.562785\pi\)
0.872059 + 0.489402i \(0.162785\pi\)
\(444\) 4.67955 14.4022i 0.222082 0.683497i
\(445\) −18.2794 13.2808i −0.866528 0.629570i
\(446\) 3.78287 11.6425i 0.179124 0.551288i
\(447\) −6.38153 19.6403i −0.301836 0.928955i
\(448\) −0.500000 + 0.363271i −0.0236228 + 0.0171630i
\(449\) 2.57008 + 7.90990i 0.121290 + 0.373291i 0.993207 0.116362i \(-0.0371233\pi\)
−0.871917 + 0.489653i \(0.837123\pi\)
\(450\) −5.19549 15.9901i −0.244918 0.753779i
\(451\) −2.39411 + 1.73942i −0.112734 + 0.0819061i
\(452\) −4.19085 12.8981i −0.197121 0.606676i
\(453\) −16.2972 + 50.1577i −0.765711 + 2.35661i
\(454\) 6.43641 + 4.67632i 0.302076 + 0.219471i
\(455\) 1.20228 3.70025i 0.0563639 0.173470i
\(456\) 17.1813 12.4829i 0.804587 0.584566i
\(457\) −1.56810 + 1.13929i −0.0733524 + 0.0532937i −0.623857 0.781538i \(-0.714435\pi\)
0.550505 + 0.834832i \(0.314435\pi\)
\(458\) −17.4576 12.6837i −0.815739 0.592669i
\(459\) 43.9859 2.05308
\(460\) −7.83009 −0.365080
\(461\) −6.23792 4.53212i −0.290529 0.211082i 0.432968 0.901409i \(-0.357466\pi\)
−0.723497 + 0.690328i \(0.757466\pi\)
\(462\) −0.855823 2.63395i −0.0398165 0.122542i
\(463\) 6.38077 19.6380i 0.296540 0.912655i −0.686160 0.727450i \(-0.740705\pi\)
0.982700 0.185205i \(-0.0592948\pi\)
\(464\) 3.81180 0.176958
\(465\) 25.4579 + 42.0816i 1.18058 + 1.95149i
\(466\) 5.16232 0.239140
\(467\) 1.02230 3.14630i 0.0473062 0.145594i −0.924613 0.380907i \(-0.875612\pi\)
0.971919 + 0.235314i \(0.0756117\pi\)
\(468\) 5.82266 + 17.9203i 0.269153 + 0.828367i
\(469\) 4.70463 + 3.41811i 0.217240 + 0.157834i
\(470\) 12.9406 0.596904
\(471\) 21.1085 0.972626
\(472\) 8.96914 + 6.51646i 0.412838 + 0.299944i
\(473\) 6.83274 4.96427i 0.314170 0.228258i
\(474\) 8.75422 6.36031i 0.402095 0.292139i
\(475\) −4.17314 + 12.8436i −0.191477 + 0.589304i
\(476\) 1.33295 + 0.968446i 0.0610957 + 0.0443886i
\(477\) 8.47942 26.0970i 0.388246 1.19490i
\(478\) −1.96971 6.06214i −0.0900923 0.277276i
\(479\) −7.58381 + 5.50996i −0.346513 + 0.251757i −0.747405 0.664369i \(-0.768700\pi\)
0.400892 + 0.916125i \(0.368700\pi\)
\(480\) 2.72971 + 8.40118i 0.124594 + 0.383460i
\(481\) −3.33489 10.2637i −0.152058 0.467987i
\(482\) −22.5517 + 16.3847i −1.02720 + 0.746305i
\(483\) 1.85869 + 5.72046i 0.0845733 + 0.260290i
\(484\) −2.83401 + 8.72220i −0.128819 + 0.396464i
\(485\) 6.45827 + 4.69221i 0.293255 + 0.213062i
\(486\) 16.1727 49.7745i 0.733609 2.25782i
\(487\) −6.20383 + 4.50735i −0.281122 + 0.204247i −0.719407 0.694589i \(-0.755586\pi\)
0.438284 + 0.898836i \(0.355586\pi\)
\(488\) −1.93434 + 1.40538i −0.0875634 + 0.0636186i
\(489\) −7.62611 5.54070i −0.344865 0.250559i
\(490\) 17.6430 0.797031
\(491\) 15.8167 0.713796 0.356898 0.934143i \(-0.383834\pi\)
0.356898 + 0.934143i \(0.383834\pi\)
\(492\) −5.86589 4.26182i −0.264455 0.192138i
\(493\) −3.14020 9.66453i −0.141427 0.435269i
\(494\) 4.67690 14.3940i 0.210424 0.647617i
\(495\) −28.7684 −1.29304
\(496\) −2.88197 4.76385i −0.129404 0.213903i
\(497\) 5.06059 0.226998
\(498\) −1.17332 + 3.61112i −0.0525779 + 0.161818i
\(499\) −4.47448 13.7710i −0.200305 0.616476i −0.999874 0.0159012i \(-0.994938\pi\)
0.799568 0.600575i \(-0.205062\pi\)
\(500\) 6.23943 + 4.53321i 0.279036 + 0.202731i
\(501\) 8.35768 0.373394
\(502\) −27.3901 −1.22248
\(503\) 20.8674 + 15.1611i 0.930431 + 0.675998i 0.946098 0.323879i \(-0.104987\pi\)
−0.0156670 + 0.999877i \(0.504987\pi\)
\(504\) 3.98971 2.89870i 0.177716 0.129118i
\(505\) 38.2392 27.7824i 1.70162 1.23630i
\(506\) −1.22745 + 3.77770i −0.0545668 + 0.167939i
\(507\) −19.9010 14.4590i −0.883836 0.642145i
\(508\) −4.36324 + 13.4287i −0.193588 + 0.595802i
\(509\) 9.81202 + 30.1983i 0.434910 + 1.33852i 0.893179 + 0.449702i \(0.148470\pi\)
−0.458268 + 0.888814i \(0.651530\pi\)
\(510\) 19.0518 13.8419i 0.843628 0.612932i
\(511\) −0.821025 2.52686i −0.0363200 0.111782i
\(512\) −0.309017 0.951057i −0.0136568 0.0420312i
\(513\) −85.5528 + 62.1578i −3.77725 + 2.74433i
\(514\) −3.42591 10.5439i −0.151110 0.465069i
\(515\) −0.454645 + 1.39925i −0.0200340 + 0.0616584i
\(516\) 16.7411 + 12.1632i 0.736988 + 0.535453i
\(517\) 2.02857 6.24330i 0.0892165 0.274580i
\(518\) −2.28508 + 1.66021i −0.100401 + 0.0729454i
\(519\) −30.8958 + 22.4471i −1.35618 + 0.985320i
\(520\) 5.09295 + 3.70025i 0.223341 + 0.162267i
\(521\) −37.6339 −1.64877 −0.824386 0.566028i \(-0.808479\pi\)
−0.824386 + 0.566028i \(0.808479\pi\)
\(522\) −30.4160 −1.33127
\(523\) 13.2783 + 9.64724i 0.580619 + 0.421844i 0.838947 0.544213i \(-0.183172\pi\)
−0.258328 + 0.966057i \(0.583172\pi\)
\(524\) −0.735986 2.26513i −0.0321517 0.0989527i
\(525\) −1.33339 + 4.10375i −0.0581939 + 0.179102i
\(526\) 25.0693 1.09307
\(527\) −9.70419 + 11.2315i −0.422721 + 0.489252i
\(528\) 4.48114 0.195017
\(529\) −4.44160 + 13.6698i −0.193113 + 0.594340i
\(530\) −2.83295 8.71893i −0.123056 0.378726i
\(531\) −71.5685 51.9976i −3.10581 2.25650i
\(532\) −3.96114 −0.171737
\(533\) −5.16719 −0.223816
\(534\) −22.7200 16.5070i −0.983190 0.714330i
\(535\) 19.9983 14.5296i 0.864601 0.628170i
\(536\) −7.61225 + 5.53062i −0.328799 + 0.238887i
\(537\) 18.9211 58.2333i 0.816507 2.51295i
\(538\) 21.3247 + 15.4933i 0.919375 + 0.667965i
\(539\) 2.76573 8.51206i 0.119129 0.366640i
\(540\) −13.5924 41.8331i −0.584923 1.80021i
\(541\) 8.57074 6.22701i 0.368485 0.267720i −0.388097 0.921618i \(-0.626868\pi\)
0.756582 + 0.653898i \(0.226868\pi\)
\(542\) 8.18026 + 25.1762i 0.351372 + 1.08141i
\(543\) 2.82086 + 8.68172i 0.121055 + 0.372568i
\(544\) −2.15676 + 1.56698i −0.0924704 + 0.0671836i
\(545\) 15.8373 + 48.7423i 0.678396 + 2.08789i
\(546\) 1.49435 4.59914i 0.0639523 0.196825i
\(547\) 6.15663 + 4.47305i 0.263238 + 0.191254i 0.711573 0.702612i \(-0.247983\pi\)
−0.448335 + 0.893866i \(0.647983\pi\)
\(548\) −3.97200 + 12.2246i −0.169676 + 0.522208i
\(549\) 15.4349 11.2141i 0.658746 0.478607i
\(550\) −2.30531 + 1.67491i −0.0982987 + 0.0714182i
\(551\) 19.7649 + 14.3601i 0.842015 + 0.611760i
\(552\) −9.73222 −0.414231
\(553\) −2.01828 −0.0858262
\(554\) −20.4458 14.8547i −0.868658 0.631117i
\(555\) 12.4752 + 38.3948i 0.529544 + 1.62977i
\(556\) 1.71841 5.28872i 0.0728768 0.224292i
\(557\) 21.5577 0.913430 0.456715 0.889613i \(-0.349026\pi\)
0.456715 + 0.889613i \(0.349026\pi\)
\(558\) 22.9964 + 38.0128i 0.973516 + 1.60921i
\(559\) 14.7471 0.623734
\(560\) 0.509142 1.56698i 0.0215152 0.0662169i
\(561\) −3.69161 11.3616i −0.155860 0.479687i
\(562\) −7.70150 5.59546i −0.324868 0.236030i
\(563\) −28.2647 −1.19121 −0.595607 0.803276i \(-0.703089\pi\)
−0.595607 + 0.803276i \(0.703089\pi\)
\(564\) 16.0842 0.677266
\(565\) 29.2497 + 21.2512i 1.23054 + 0.894043i
\(566\) −26.0144 + 18.9006i −1.09347 + 0.794452i
\(567\) −15.3665 + 11.1644i −0.645331 + 0.468860i
\(568\) −2.53029 + 7.78744i −0.106169 + 0.326754i
\(569\) 21.0763 + 15.3128i 0.883565 + 0.641948i 0.934192 0.356770i \(-0.116122\pi\)
−0.0506271 + 0.998718i \(0.516122\pi\)
\(570\) −17.4954 + 53.8454i −0.732802 + 2.25533i
\(571\) −12.2779 37.7876i −0.513816 1.58136i −0.785427 0.618955i \(-0.787556\pi\)
0.271611 0.962407i \(-0.412444\pi\)
\(572\) 2.58360 1.87709i 0.108026 0.0784852i
\(573\) −16.2160 49.9078i −0.677434 2.08493i
\(574\) 0.417909 + 1.28619i 0.0174432 + 0.0536846i
\(575\) 5.00671 3.63759i 0.208794 0.151698i
\(576\) 2.46578 + 7.58888i 0.102741 + 0.316203i
\(577\) −0.186561 + 0.574175i −0.00776663 + 0.0239032i −0.954865 0.297041i \(-0.904000\pi\)
0.947098 + 0.320944i \(0.104000\pi\)
\(578\) −8.00357 5.81494i −0.332905 0.241869i
\(579\) −3.15826 + 9.72013i −0.131253 + 0.403955i
\(580\) −8.22114 + 5.97301i −0.341364 + 0.248016i
\(581\) 0.572949 0.416272i 0.0237699 0.0172699i
\(582\) 8.02716 + 5.83207i 0.332736 + 0.241747i
\(583\) −4.65063 −0.192609
\(584\) 4.29894 0.177892
\(585\) −40.6388 29.5258i −1.68021 1.22074i
\(586\) 1.15755 + 3.56258i 0.0478180 + 0.147169i
\(587\) −5.56288 + 17.1208i −0.229605 + 0.706650i 0.768187 + 0.640226i \(0.221159\pi\)
−0.997791 + 0.0664247i \(0.978841\pi\)
\(588\) 21.9290 0.904337
\(589\) 3.00313 35.5587i 0.123742 1.46517i
\(590\) −29.5554 −1.21678
\(591\) −23.0867 + 71.0535i −0.949659 + 2.92275i
\(592\) −1.41226 4.34649i −0.0580435 0.178639i
\(593\) 5.54474 + 4.02849i 0.227695 + 0.165430i 0.695784 0.718251i \(-0.255057\pi\)
−0.468089 + 0.883682i \(0.655057\pi\)
\(594\) −22.3135 −0.915535
\(595\) −4.39239 −0.180070
\(596\) −5.04209 3.66329i −0.206532 0.150054i
\(597\) −24.3036 + 17.6576i −0.994680 + 0.722677i
\(598\) −5.61109 + 4.07670i −0.229455 + 0.166709i
\(599\) 1.44935 4.46064i 0.0592189 0.182257i −0.917071 0.398724i \(-0.869453\pi\)
0.976290 + 0.216467i \(0.0694533\pi\)
\(600\) −5.64833 4.10375i −0.230592 0.167535i
\(601\) 4.84412 14.9087i 0.197596 0.608137i −0.802341 0.596866i \(-0.796412\pi\)
0.999936 0.0112708i \(-0.00358770\pi\)
\(602\) −1.19270 3.67076i −0.0486110 0.149609i
\(603\) 60.7414 44.1312i 2.47358 1.79716i
\(604\) 4.91840 + 15.1373i 0.200127 + 0.615927i
\(605\) −7.55521 23.2525i −0.307163 0.945350i
\(606\) 47.5285 34.5315i 1.93071 1.40275i
\(607\) 8.63712 + 26.5823i 0.350570 + 1.07894i 0.958534 + 0.284978i \(0.0919864\pi\)
−0.607964 + 0.793964i \(0.708014\pi\)
\(608\) 1.98057 6.09557i 0.0803227 0.247208i
\(609\) 6.31524 + 4.58829i 0.255907 + 0.185927i
\(610\) 1.96971 6.06214i 0.0797511 0.245449i
\(611\) 9.27330 6.73745i 0.375158 0.272568i
\(612\) 17.2097 12.5036i 0.695661 0.505427i
\(613\) 6.67133 + 4.84701i 0.269453 + 0.195769i 0.714304 0.699836i \(-0.246743\pi\)
−0.444851 + 0.895604i \(0.646743\pi\)
\(614\) −18.9454 −0.764575
\(615\) 19.3295 0.779441
\(616\) −0.676191 0.491281i −0.0272445 0.0197943i
\(617\) −5.73678 17.6560i −0.230954 0.710803i −0.997632 0.0687718i \(-0.978092\pi\)
0.766679 0.642031i \(-0.221908\pi\)
\(618\) −0.565090 + 1.73917i −0.0227312 + 0.0699596i
\(619\) −21.2657 −0.854739 −0.427369 0.904077i \(-0.640560\pi\)
−0.427369 + 0.904077i \(0.640560\pi\)
\(620\) 13.6806 + 5.75851i 0.549425 + 0.231267i
\(621\) 48.4609 1.94467
\(622\) −1.20286 + 3.70202i −0.0482302 + 0.148437i
\(623\) 1.61866 + 4.98172i 0.0648502 + 0.199588i
\(624\) 6.33017 + 4.59914i 0.253410 + 0.184113i
\(625\) −31.0956 −1.24382
\(626\) 16.0826 0.642789
\(627\) 23.2356 + 16.8817i 0.927942 + 0.674189i
\(628\) 5.15376 3.74443i 0.205657 0.149419i
\(629\) −9.85675 + 7.16135i −0.393014 + 0.285542i
\(630\) −4.06266 + 12.5036i −0.161860 + 0.498155i
\(631\) 23.9119 + 17.3730i 0.951918 + 0.691609i 0.951260 0.308391i \(-0.0997905\pi\)
0.000658154 1.00000i \(0.499791\pi\)
\(632\) 1.00914 3.10582i 0.0401415 0.123543i
\(633\) −11.1913 34.4433i −0.444814 1.36900i
\(634\) 27.8354 20.2236i 1.10548 0.803182i
\(635\) −11.6320 35.7996i −0.461601 1.42066i
\(636\) −3.52115 10.8370i −0.139623 0.429714i
\(637\) 12.6431 9.18577i 0.500939 0.363953i
\(638\) 1.59299 + 4.90270i 0.0630669 + 0.194100i
\(639\) 20.1903 62.1393i 0.798715 2.45819i
\(640\) 2.15676 + 1.56698i 0.0852535 + 0.0619403i
\(641\) −5.80858 + 17.8770i −0.229425 + 0.706098i 0.768387 + 0.639985i \(0.221060\pi\)
−0.997812 + 0.0661124i \(0.978940\pi\)
\(642\) 24.8564 18.0592i 0.981004 0.712741i
\(643\) 10.4063 7.56065i 0.410386 0.298163i −0.363372 0.931644i \(-0.618375\pi\)
0.773758 + 0.633481i \(0.218375\pi\)
\(644\) 1.46856 + 1.06697i 0.0578694 + 0.0420446i
\(645\) −55.1661 −2.17216
\(646\) −17.0865 −0.672258
\(647\) −12.3701 8.98737i −0.486317 0.353330i 0.317449 0.948275i \(-0.397174\pi\)
−0.803766 + 0.594945i \(0.797174\pi\)
\(648\) −9.49700 29.2288i −0.373077 1.14821i
\(649\) −4.63313 + 14.2593i −0.181866 + 0.559727i
\(650\) −4.97554 −0.195157
\(651\) 0.959553 11.3616i 0.0376078 0.445296i
\(652\) −2.84483 −0.111412
\(653\) 6.90855 21.2623i 0.270352 0.832059i −0.720059 0.693913i \(-0.755885\pi\)
0.990412 0.138147i \(-0.0441146\pi\)
\(654\) 19.6846 + 60.5831i 0.769730 + 2.36899i
\(655\) 5.13676 + 3.73207i 0.200710 + 0.145824i
\(656\) −2.18820 −0.0854348
\(657\) −34.3031 −1.33829
\(658\) −2.42705 1.76336i −0.0946163 0.0687428i
\(659\) −6.85525 + 4.98063i −0.267043 + 0.194018i −0.713246 0.700914i \(-0.752776\pi\)
0.446203 + 0.894932i \(0.352776\pi\)
\(660\) −9.66476 + 7.02186i −0.376200 + 0.273325i
\(661\) −8.00862 + 24.6480i −0.311499 + 0.958696i 0.665672 + 0.746244i \(0.268145\pi\)
−0.977172 + 0.212452i \(0.931855\pi\)
\(662\) 17.4489 + 12.6774i 0.678171 + 0.492720i
\(663\) 6.44591 19.8385i 0.250338 0.770462i
\(664\) 0.354102 + 1.08981i 0.0137418 + 0.0422930i
\(665\) 8.54323 6.20702i 0.331292 0.240698i
\(666\) 11.2690 + 34.6825i 0.436665 + 1.34392i
\(667\) −3.45967 10.6478i −0.133959 0.412283i
\(668\) 2.04058 1.48257i 0.0789524 0.0573623i
\(669\) 12.5346 + 38.5776i 0.484617 + 1.49150i
\(670\) 7.75144 23.8565i 0.299464 0.921656i
\(671\) −2.61596 1.90061i −0.100988 0.0733722i
\(672\) 0.632826 1.94764i 0.0244118 0.0751318i
\(673\) −37.7404 + 27.4200i −1.45478 + 1.05696i −0.470100 + 0.882613i \(0.655782\pi\)
−0.984684 + 0.174349i \(0.944218\pi\)
\(674\) 6.29422 4.57302i 0.242444 0.176146i
\(675\) 28.1254 + 20.4343i 1.08255 + 0.786517i
\(676\) −7.42384 −0.285532
\(677\) 40.1322 1.54241 0.771203 0.636589i \(-0.219655\pi\)
0.771203 + 0.636589i \(0.219655\pi\)
\(678\) 36.3553 + 26.4136i 1.39622 + 1.01441i
\(679\) −0.571886 1.76008i −0.0219470 0.0675458i
\(680\) 2.19620 6.75919i 0.0842203 0.259203i
\(681\) −26.3618 −1.01019
\(682\) 4.92282 5.69761i 0.188505 0.218173i
\(683\) −5.73560 −0.219467 −0.109733 0.993961i \(-0.535000\pi\)
−0.109733 + 0.993961i \(0.535000\pi\)
\(684\) −15.8038 + 48.6391i −0.604274 + 1.85976i
\(685\) −10.5890 32.5895i −0.404584 1.24518i
\(686\) −6.80902 4.94704i −0.259969 0.188879i
\(687\) 71.5016 2.72796
\(688\) 6.24508 0.238091
\(689\) −6.56958 4.77308i −0.250281 0.181840i
\(690\) 20.9901 15.2502i 0.799078 0.580564i
\(691\) −4.33839 + 3.15202i −0.165040 + 0.119909i −0.667240 0.744843i \(-0.732524\pi\)
0.502200 + 0.864752i \(0.332524\pi\)
\(692\) −3.56152 + 10.9612i −0.135389 + 0.416683i
\(693\) 5.39561 + 3.92014i 0.204962 + 0.148914i
\(694\) −2.77373 + 8.53667i −0.105289 + 0.324047i
\(695\) 4.58111 + 14.0992i 0.173772 + 0.534814i
\(696\) −10.2183 + 7.42401i −0.387323 + 0.281406i
\(697\) 1.80266 + 5.54801i 0.0682806 + 0.210146i
\(698\) −5.59366 17.2155i −0.211723 0.651617i
\(699\) −13.8386 + 10.0543i −0.523424 + 0.380290i
\(700\) 0.402408 + 1.23849i 0.0152096 + 0.0468104i
\(701\) −0.295457 + 0.909322i −0.0111592 + 0.0343446i −0.956481 0.291794i \(-0.905748\pi\)
0.945322 + 0.326139i \(0.105748\pi\)
\(702\) −31.5206 22.9010i −1.18967 0.864344i
\(703\) 9.05153 27.8578i 0.341385 1.05067i
\(704\) 1.09410 0.794910i 0.0412354 0.0299593i
\(705\) −34.6897 + 25.2035i −1.30649 + 0.949221i
\(706\) −22.6691 16.4701i −0.853164 0.619860i
\(707\) −10.9577 −0.412107
\(708\) −36.7352 −1.38059
\(709\) −2.09273 1.52046i −0.0785940 0.0571019i 0.547794 0.836613i \(-0.315468\pi\)
−0.626388 + 0.779511i \(0.715468\pi\)
\(710\) −6.74551 20.7606i −0.253155 0.779130i
\(711\) −8.05237 + 24.7827i −0.301988 + 0.929422i
\(712\) −8.47541 −0.317630
\(713\) −10.6915 + 12.3742i −0.400399 + 0.463416i
\(714\) −5.45942 −0.204314
\(715\) −2.63084 + 8.09688i −0.0983877 + 0.302806i
\(716\) −5.71028 17.5744i −0.213403 0.656787i
\(717\) 17.0870 + 12.4145i 0.638127 + 0.463626i
\(718\) −9.23050 −0.344479
\(719\) −13.9417 −0.519938 −0.259969 0.965617i \(-0.583712\pi\)
−0.259969 + 0.965617i \(0.583712\pi\)
\(720\) −17.2097 12.5036i −0.641368 0.465981i
\(721\) 0.275940 0.200482i 0.0102766 0.00746636i
\(722\) 17.8620 12.9775i 0.664754 0.482972i
\(723\) 28.5426 87.8450i 1.06151 3.26699i
\(724\) 2.22878 + 1.61930i 0.0828319 + 0.0601809i
\(725\) 2.48190 7.63851i 0.0921756 0.283687i
\(726\) −9.39057 28.9012i −0.348517 1.07262i
\(727\) −21.5984 + 15.6922i −0.801040 + 0.581990i −0.911219 0.411922i \(-0.864858\pi\)
0.110179 + 0.993912i \(0.464858\pi\)
\(728\) −0.450985 1.38799i −0.0167146 0.0514423i
\(729\) 25.0976 + 77.2425i 0.929541 + 2.86083i
\(730\) −9.27180 + 6.73635i −0.343165 + 0.249324i
\(731\) −5.14475 15.8339i −0.190286 0.585639i
\(732\) 2.44820 7.53479i 0.0904881 0.278494i
\(733\) −3.33903 2.42595i −0.123330 0.0896045i 0.524410 0.851466i \(-0.324286\pi\)
−0.647740 + 0.761861i \(0.724286\pi\)
\(734\) 3.45169 10.6232i 0.127404 0.392110i
\(735\) −47.2956 + 34.3623i −1.74452 + 1.26747i
\(736\) −2.37618 + 1.72640i −0.0875873 + 0.0636359i
\(737\) −10.2947 7.47951i −0.379209 0.275511i
\(738\) 17.4606 0.642732
\(739\) −28.0676 −1.03248 −0.516241 0.856443i \(-0.672669\pi\)
−0.516241 + 0.856443i \(0.672669\pi\)
\(740\) 9.85675 + 7.16135i 0.362341 + 0.263256i
\(741\) 15.4970 + 47.6949i 0.569297 + 1.75212i
\(742\) −0.656761 + 2.02130i −0.0241104 + 0.0742043i
\(743\) 30.8271 1.13094 0.565468 0.824770i \(-0.308696\pi\)
0.565468 + 0.824770i \(0.308696\pi\)
\(744\) 17.0039 + 7.15740i 0.623394 + 0.262403i
\(745\) 16.6149 0.608722
\(746\) 0.569324 1.75220i 0.0208444 0.0641525i
\(747\) −2.82553 8.69609i −0.103381 0.318173i
\(748\) −2.91676 2.11915i −0.106647 0.0774839i
\(749\) −5.73064 −0.209393
\(750\) −25.5551 −0.933139
\(751\) 2.65512 + 1.92906i 0.0968868 + 0.0703924i 0.635174 0.772369i \(-0.280928\pi\)
−0.538287 + 0.842762i \(0.680928\pi\)
\(752\) 3.92705 2.85317i 0.143205 0.104044i
\(753\) 73.4245 53.3460i 2.67574 1.94404i
\(754\) −2.78151 + 8.56060i −0.101297 + 0.311759i
\(755\) −34.3276 24.9405i −1.24931 0.907677i
\(756\) −3.15111 + 9.69812i −0.114605 + 0.352717i
\(757\) 5.95885 + 18.3395i 0.216578 + 0.666559i 0.999038 + 0.0438575i \(0.0139648\pi\)
−0.782460 + 0.622701i \(0.786035\pi\)
\(758\) −14.5892 + 10.5997i −0.529905 + 0.384999i
\(759\) −4.06718 12.5175i −0.147629 0.454356i
\(760\) 5.28001 + 16.2502i 0.191526 + 0.589456i
\(761\) 26.8430 19.5026i 0.973059 0.706969i 0.0169123 0.999857i \(-0.494616\pi\)
0.956147 + 0.292888i \(0.0946164\pi\)
\(762\) −14.4577 44.4962i −0.523747 1.61193i
\(763\) 3.67155 11.2999i 0.132919 0.409083i
\(764\) −12.8124 9.30874i −0.463535 0.336778i
\(765\) −17.5244 + 53.9345i −0.633595 + 1.95001i
\(766\) 8.15676 5.92623i 0.294716 0.214124i
\(767\) −21.1796 + 15.3879i −0.764752 + 0.555625i
\(768\) 2.68070 + 1.94764i 0.0967313 + 0.0702794i
\(769\) 32.5658 1.17435 0.587177 0.809458i \(-0.300239\pi\)
0.587177 + 0.809458i \(0.300239\pi\)
\(770\) 2.22821 0.0802991
\(771\) 29.7194 + 21.5924i 1.07032 + 0.777632i
\(772\) 0.953144 + 2.93347i 0.0343044 + 0.105578i
\(773\) −4.27905 + 13.1695i −0.153907 + 0.473676i −0.998048 0.0624441i \(-0.980110\pi\)
0.844142 + 0.536120i \(0.180110\pi\)
\(774\) −49.8321 −1.79118
\(775\) −11.4228 + 2.67341i −0.410320 + 0.0960319i
\(776\) 2.99443