Properties

Label 126.2.m.a.83.6
Level $126$
Weight $2$
Character 126.83
Analytic conductor $1.006$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 126 = 2 \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 126.m (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.00611506547\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 6 x^{14} + 9 x^{12} + 54 x^{10} - 288 x^{8} + 486 x^{6} + 729 x^{4} - 4374 x^{2} + 6561\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 83.6
Root \(0.0967785 + 1.72934i\) of defining polynomial
Character \(\chi\) \(=\) 126.83
Dual form 126.2.m.a.41.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(-0.0967785 - 1.72934i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.183299 - 0.317483i) q^{5} +(0.780860 - 1.54605i) q^{6} +(2.53871 - 0.744936i) q^{7} +1.00000i q^{8} +(-2.98127 + 0.334727i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(-0.0967785 - 1.72934i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.183299 - 0.317483i) q^{5} +(0.780860 - 1.54605i) q^{6} +(2.53871 - 0.744936i) q^{7} +1.00000i q^{8} +(-2.98127 + 0.334727i) q^{9} -0.366598i q^{10} +(0.579764 + 0.334727i) q^{11} +(1.44927 - 0.948485i) q^{12} +(-0.867380 + 0.500782i) q^{13} +(2.57106 + 0.624224i) q^{14} +(-0.531299 + 0.347713i) q^{15} +(-0.500000 + 0.866025i) q^{16} -4.98906 q^{17} +(-2.74922 - 1.20075i) q^{18} +6.35722i q^{19} +(0.183299 - 0.317483i) q^{20} +(-1.53394 - 4.31822i) q^{21} +(0.334727 + 0.579764i) q^{22} +(-6.66371 + 3.84729i) q^{23} +(1.72934 - 0.0967785i) q^{24} +(2.43280 - 4.21374i) q^{25} -1.00156 q^{26} +(0.867380 + 5.12325i) q^{27} +(1.91449 + 1.82612i) q^{28} +(1.58394 + 0.914490i) q^{29} +(-0.633975 + 0.0354788i) q^{30} +(5.47837 - 3.16294i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(0.522749 - 1.03501i) q^{33} +(-4.32065 - 2.49453i) q^{34} +(-0.701849 - 0.669453i) q^{35} +(-1.78052 - 2.41449i) q^{36} -5.16789 q^{37} +(-3.17861 + 5.50552i) q^{38} +(0.949969 + 1.45154i) q^{39} +(0.317483 - 0.183299i) q^{40} +(-2.15928 - 3.73998i) q^{41} +(0.830676 - 4.50666i) q^{42} +(2.24922 - 3.89576i) q^{43} +0.669453i q^{44} +(0.652734 + 0.885148i) q^{45} -7.69459 q^{46} +(4.16450 - 7.21313i) q^{47} +(1.54605 + 0.780860i) q^{48} +(5.89014 - 3.78236i) q^{49} +(4.21374 - 2.43280i) q^{50} +(0.482834 + 8.62781i) q^{51} +(-0.867380 - 0.500782i) q^{52} +(-1.81045 + 4.87055i) q^{54} -0.245420i q^{55} +(0.744936 + 2.53871i) q^{56} +(10.9938 - 0.615242i) q^{57} +(0.914490 + 1.58394i) q^{58} +(4.36348 + 7.55776i) q^{59} +(-0.566778 - 0.286262i) q^{60} +(-4.29351 - 2.47886i) q^{61} +6.32588 q^{62} +(-7.31924 + 3.07063i) q^{63} -1.00000 q^{64} +(0.317980 + 0.183586i) q^{65} +(0.970217 - 0.634967i) q^{66} +(5.44537 + 9.43166i) q^{67} +(-2.49453 - 4.32065i) q^{68} +(7.29820 + 11.1515i) q^{69} +(-0.273092 - 0.930688i) q^{70} -5.49843i q^{71} +(-0.334727 - 2.98127i) q^{72} -4.07314i q^{73} +(-4.47552 - 2.58394i) q^{74} +(-7.52245 - 3.79936i) q^{75} +(-5.50552 + 3.17861i) q^{76} +(1.72120 + 0.417889i) q^{77} +(0.0969299 + 1.73205i) q^{78} +(-4.17784 + 7.23623i) q^{79} +0.366598 q^{80} +(8.77592 - 1.99582i) q^{81} -4.31856i q^{82} +(8.50712 - 14.7348i) q^{83} +(2.97272 - 3.48754i) q^{84} +(0.914490 + 1.58394i) q^{85} +(3.89576 - 2.24922i) q^{86} +(1.42818 - 2.82769i) q^{87} +(-0.334727 + 0.579764i) q^{88} +10.7113 q^{89} +(0.122710 + 1.09293i) q^{90} +(-1.82898 + 1.91749i) q^{91} +(-6.66371 - 3.84729i) q^{92} +(-6.00000 - 9.16789i) q^{93} +(7.21313 - 4.16450i) q^{94} +(2.01831 - 1.16527i) q^{95} +(0.948485 + 1.44927i) q^{96} +(-14.9093 - 8.60787i) q^{97} +(6.99219 - 0.330547i) q^{98} +(-1.84047 - 0.803848i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 8q^{4} + 2q^{7} + 12q^{9} + O(q^{10}) \) \( 16q + 8q^{4} + 2q^{7} + 12q^{9} - 12q^{11} - 6q^{14} - 8q^{16} - 12q^{18} + 18q^{21} - 48q^{23} - 8q^{25} + 4q^{28} - 12q^{29} - 24q^{30} + 12q^{36} - 8q^{37} - 36q^{39} - 12q^{42} + 4q^{43} + 24q^{46} - 8q^{49} + 60q^{50} + 12q^{51} - 6q^{56} + 48q^{57} - 12q^{58} + 24q^{60} + 24q^{63} - 16q^{64} + 84q^{65} - 28q^{67} + 36q^{74} + 78q^{77} - 24q^{78} - 4q^{79} + 36q^{81} + 18q^{84} - 12q^{85} - 24q^{86} + 24q^{91} - 48q^{92} - 96q^{93} + 12q^{95} - 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) −0.0967785 1.72934i −0.0558751 0.998438i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.183299 0.317483i −0.0819738 0.141983i 0.822124 0.569309i \(-0.192789\pi\)
−0.904098 + 0.427326i \(0.859456\pi\)
\(6\) 0.780860 1.54605i 0.318785 0.631171i
\(7\) 2.53871 0.744936i 0.959544 0.281559i
\(8\) 1.00000i 0.353553i
\(9\) −2.98127 + 0.334727i −0.993756 + 0.111576i
\(10\) 0.366598i 0.115929i
\(11\) 0.579764 + 0.334727i 0.174805 + 0.100924i 0.584850 0.811142i \(-0.301153\pi\)
−0.410044 + 0.912066i \(0.634487\pi\)
\(12\) 1.44927 0.948485i 0.418367 0.273804i
\(13\) −0.867380 + 0.500782i −0.240568 + 0.138892i −0.615438 0.788185i \(-0.711021\pi\)
0.374870 + 0.927077i \(0.377687\pi\)
\(14\) 2.57106 + 0.624224i 0.687144 + 0.166831i
\(15\) −0.531299 + 0.347713i −0.137181 + 0.0897791i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −4.98906 −1.21003 −0.605013 0.796216i \(-0.706832\pi\)
−0.605013 + 0.796216i \(0.706832\pi\)
\(18\) −2.74922 1.20075i −0.647997 0.283020i
\(19\) 6.35722i 1.45845i 0.684275 + 0.729224i \(0.260119\pi\)
−0.684275 + 0.729224i \(0.739881\pi\)
\(20\) 0.183299 0.317483i 0.0409869 0.0709914i
\(21\) −1.53394 4.31822i −0.334734 0.942313i
\(22\) 0.334727 + 0.579764i 0.0713640 + 0.123606i
\(23\) −6.66371 + 3.84729i −1.38948 + 0.802216i −0.993256 0.115938i \(-0.963012\pi\)
−0.396223 + 0.918154i \(0.629679\pi\)
\(24\) 1.72934 0.0967785i 0.353001 0.0197548i
\(25\) 2.43280 4.21374i 0.486561 0.842748i
\(26\) −1.00156 −0.196423
\(27\) 0.867380 + 5.12325i 0.166927 + 0.985969i
\(28\) 1.91449 + 1.82612i 0.361805 + 0.345105i
\(29\) 1.58394 + 0.914490i 0.294131 + 0.169817i 0.639803 0.768539i \(-0.279016\pi\)
−0.345672 + 0.938355i \(0.612349\pi\)
\(30\) −0.633975 + 0.0354788i −0.115747 + 0.00647751i
\(31\) 5.47837 3.16294i 0.983944 0.568081i 0.0804857 0.996756i \(-0.474353\pi\)
0.903459 + 0.428675i \(0.141020\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) 0.522749 1.03501i 0.0909990 0.180171i
\(34\) −4.32065 2.49453i −0.740986 0.427809i
\(35\) −0.701849 0.669453i −0.118634 0.113158i
\(36\) −1.78052 2.41449i −0.296753 0.402415i
\(37\) −5.16789 −0.849595 −0.424798 0.905288i \(-0.639655\pi\)
−0.424798 + 0.905288i \(0.639655\pi\)
\(38\) −3.17861 + 5.50552i −0.515639 + 0.893113i
\(39\) 0.949969 + 1.45154i 0.152117 + 0.232432i
\(40\) 0.317483 0.183299i 0.0501985 0.0289821i
\(41\) −2.15928 3.73998i −0.337223 0.584087i 0.646686 0.762756i \(-0.276154\pi\)
−0.983909 + 0.178669i \(0.942821\pi\)
\(42\) 0.830676 4.50666i 0.128176 0.695393i
\(43\) 2.24922 3.89576i 0.343002 0.594098i −0.641986 0.766716i \(-0.721889\pi\)
0.984989 + 0.172618i \(0.0552228\pi\)
\(44\) 0.669453i 0.100924i
\(45\) 0.652734 + 0.885148i 0.0973038 + 0.131950i
\(46\) −7.69459 −1.13450
\(47\) 4.16450 7.21313i 0.607455 1.05214i −0.384203 0.923249i \(-0.625524\pi\)
0.991658 0.128895i \(-0.0411429\pi\)
\(48\) 1.54605 + 0.780860i 0.223153 + 0.112707i
\(49\) 5.89014 3.78236i 0.841449 0.540337i
\(50\) 4.21374 2.43280i 0.595913 0.344050i
\(51\) 0.482834 + 8.62781i 0.0676102 + 1.20813i
\(52\) −0.867380 0.500782i −0.120284 0.0694460i
\(53\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(54\) −1.81045 + 4.87055i −0.246371 + 0.662798i
\(55\) 0.245420i 0.0330925i
\(56\) 0.744936 + 2.53871i 0.0995462 + 0.339250i
\(57\) 10.9938 0.615242i 1.45617 0.0814909i
\(58\) 0.914490 + 1.58394i 0.120078 + 0.207982i
\(59\) 4.36348 + 7.55776i 0.568076 + 0.983937i 0.996756 + 0.0804804i \(0.0256455\pi\)
−0.428680 + 0.903456i \(0.641021\pi\)
\(60\) −0.566778 0.286262i −0.0731707 0.0369562i
\(61\) −4.29351 2.47886i −0.549727 0.317385i 0.199285 0.979942i \(-0.436138\pi\)
−0.749012 + 0.662556i \(0.769471\pi\)
\(62\) 6.32588 0.803387
\(63\) −7.31924 + 3.07063i −0.922137 + 0.386863i
\(64\) −1.00000 −0.125000
\(65\) 0.317980 + 0.183586i 0.0394406 + 0.0227710i
\(66\) 0.970217 0.634967i 0.119425 0.0781590i
\(67\) 5.44537 + 9.43166i 0.665258 + 1.15226i 0.979215 + 0.202823i \(0.0650117\pi\)
−0.313958 + 0.949437i \(0.601655\pi\)
\(68\) −2.49453 4.32065i −0.302506 0.523956i
\(69\) 7.29820 + 11.1515i 0.878600 + 1.34248i
\(70\) −0.273092 0.930688i −0.0326407 0.111238i
\(71\) 5.49843i 0.652544i −0.945276 0.326272i \(-0.894207\pi\)
0.945276 0.326272i \(-0.105793\pi\)
\(72\) −0.334727 2.98127i −0.0394479 0.351346i
\(73\) 4.07314i 0.476725i −0.971176 0.238363i \(-0.923389\pi\)
0.971176 0.238363i \(-0.0766106\pi\)
\(74\) −4.47552 2.58394i −0.520269 0.300377i
\(75\) −7.52245 3.79936i −0.868618 0.438712i
\(76\) −5.50552 + 3.17861i −0.631526 + 0.364612i
\(77\) 1.72120 + 0.417889i 0.196149 + 0.0476229i
\(78\) 0.0969299 + 1.73205i 0.0109751 + 0.196116i
\(79\) −4.17784 + 7.23623i −0.470044 + 0.814140i −0.999413 0.0342518i \(-0.989095\pi\)
0.529370 + 0.848391i \(0.322429\pi\)
\(80\) 0.366598 0.0409869
\(81\) 8.77592 1.99582i 0.975102 0.221758i
\(82\) 4.31856i 0.476905i
\(83\) 8.50712 14.7348i 0.933778 1.61735i 0.156980 0.987602i \(-0.449824\pi\)
0.776798 0.629750i \(-0.216842\pi\)
\(84\) 2.97272 3.48754i 0.324350 0.380522i
\(85\) 0.914490 + 1.58394i 0.0991904 + 0.171803i
\(86\) 3.89576 2.24922i 0.420090 0.242539i
\(87\) 1.42818 2.82769i 0.153117 0.303160i
\(88\) −0.334727 + 0.579764i −0.0356820 + 0.0618030i
\(89\) 10.7113 1.13540 0.567699 0.823236i \(-0.307834\pi\)
0.567699 + 0.823236i \(0.307834\pi\)
\(90\) 0.122710 + 1.09293i 0.0129348 + 0.115205i
\(91\) −1.82898 + 1.91749i −0.191729 + 0.201007i
\(92\) −6.66371 3.84729i −0.694740 0.401108i
\(93\) −6.00000 9.16789i −0.622171 0.950666i
\(94\) 7.21313 4.16450i 0.743978 0.429536i
\(95\) 2.01831 1.16527i 0.207074 0.119555i
\(96\) 0.948485 + 1.44927i 0.0968044 + 0.147915i
\(97\) −14.9093 8.60787i −1.51381 0.873997i −0.999869 0.0161687i \(-0.994853\pi\)
−0.513937 0.857828i \(-0.671814\pi\)
\(98\) 6.99219 0.330547i 0.706318 0.0333902i
\(99\) −1.84047 0.803848i −0.184974 0.0807897i
\(100\) 4.86561 0.486561
\(101\) −7.86586 + 13.6241i −0.782683 + 1.35565i 0.147691 + 0.989034i \(0.452816\pi\)
−0.930374 + 0.366613i \(0.880517\pi\)
\(102\) −3.89576 + 7.71332i −0.385738 + 0.763732i
\(103\) −9.91124 + 5.72226i −0.976584 + 0.563831i −0.901237 0.433327i \(-0.857340\pi\)
−0.0753467 + 0.997157i \(0.524006\pi\)
\(104\) −0.500782 0.867380i −0.0491057 0.0850537i
\(105\) −1.08979 + 1.27853i −0.106353 + 0.124771i
\(106\) 0 0
\(107\) 11.0618i 1.06938i −0.845048 0.534690i \(-0.820428\pi\)
0.845048 0.534690i \(-0.179572\pi\)
\(108\) −4.00317 + 3.31280i −0.385205 + 0.318774i
\(109\) −10.5633 −1.01178 −0.505891 0.862597i \(-0.668836\pi\)
−0.505891 + 0.862597i \(0.668836\pi\)
\(110\) 0.122710 0.212540i 0.0117000 0.0202649i
\(111\) 0.500140 + 8.93706i 0.0474712 + 0.848268i
\(112\) −0.624224 + 2.57106i −0.0589836 + 0.242942i
\(113\) 3.60226 2.07976i 0.338872 0.195648i −0.320901 0.947113i \(-0.603986\pi\)
0.659773 + 0.751465i \(0.270652\pi\)
\(114\) 9.82856 + 4.96410i 0.920529 + 0.464931i
\(115\) 2.44290 + 1.41041i 0.227802 + 0.131521i
\(116\) 1.82898i 0.169817i
\(117\) 2.41827 1.78330i 0.223569 0.164866i
\(118\) 8.72695i 0.803381i
\(119\) −12.6658 + 3.71653i −1.16107 + 0.340694i
\(120\) −0.347713 0.531299i −0.0317417 0.0485007i
\(121\) −5.27592 9.13815i −0.479629 0.830741i
\(122\) −2.47886 4.29351i −0.224425 0.388716i
\(123\) −6.25875 + 4.09609i −0.564332 + 0.369332i
\(124\) 5.47837 + 3.16294i 0.491972 + 0.284040i
\(125\) −3.61671 −0.323489
\(126\) −7.87396 1.00038i −0.701468 0.0891207i
\(127\) −1.66945 −0.148140 −0.0740700 0.997253i \(-0.523599\pi\)
−0.0740700 + 0.997253i \(0.523599\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) −6.95479 3.51265i −0.612335 0.309271i
\(130\) 0.183586 + 0.317980i 0.0161015 + 0.0278887i
\(131\) 6.76607 + 11.7192i 0.591154 + 1.02391i 0.994077 + 0.108675i \(0.0346609\pi\)
−0.402923 + 0.915234i \(0.632006\pi\)
\(132\) 1.15772 0.0647887i 0.100766 0.00563913i
\(133\) 4.73572 + 16.1392i 0.410639 + 1.39944i
\(134\) 10.8907i 0.940817i
\(135\) 1.46755 1.21446i 0.126307 0.104525i
\(136\) 4.98906i 0.427809i
\(137\) 7.78428 + 4.49425i 0.665056 + 0.383970i 0.794201 0.607656i \(-0.207890\pi\)
−0.129145 + 0.991626i \(0.541223\pi\)
\(138\) 0.744670 + 13.3066i 0.0633905 + 1.13273i
\(139\) −8.05336 + 4.64961i −0.683077 + 0.394375i −0.801014 0.598646i \(-0.795706\pi\)
0.117936 + 0.993021i \(0.462372\pi\)
\(140\) 0.228839 0.942545i 0.0193405 0.0796596i
\(141\) −12.8770 6.50379i −1.08444 0.547718i
\(142\) 2.74922 4.76178i 0.230709 0.399600i
\(143\) −0.670501 −0.0560701
\(144\) 1.20075 2.74922i 0.100063 0.229101i
\(145\) 0.670501i 0.0556821i
\(146\) 2.03657 3.52744i 0.168548 0.291933i
\(147\) −7.11104 9.82004i −0.586509 0.809943i
\(148\) −2.58394 4.47552i −0.212399 0.367886i
\(149\) −2.45268 + 1.41606i −0.200931 + 0.116008i −0.597090 0.802174i \(-0.703676\pi\)
0.396158 + 0.918182i \(0.370343\pi\)
\(150\) −4.61495 7.05156i −0.376809 0.575758i
\(151\) 8.27592 14.3343i 0.673484 1.16651i −0.303425 0.952855i \(-0.598130\pi\)
0.976909 0.213654i \(-0.0685365\pi\)
\(152\) −6.35722 −0.515639
\(153\) 14.8737 1.66997i 1.20247 0.135009i
\(154\) 1.28166 + 1.22250i 0.103279 + 0.0985122i
\(155\) −2.00836 1.15953i −0.161315 0.0931355i
\(156\) −0.782082 + 1.54846i −0.0626166 + 0.123976i
\(157\) 2.45480 1.41728i 0.195914 0.113111i −0.398834 0.917023i \(-0.630585\pi\)
0.594748 + 0.803912i \(0.297252\pi\)
\(158\) −7.23623 + 4.17784i −0.575684 + 0.332371i
\(159\) 0 0
\(160\) 0.317483 + 0.183299i 0.0250993 + 0.0144911i
\(161\) −14.0513 + 14.7312i −1.10739 + 1.16098i
\(162\) 8.59808 + 2.65953i 0.675529 + 0.208952i
\(163\) 24.7281 1.93685 0.968426 0.249300i \(-0.0802005\pi\)
0.968426 + 0.249300i \(0.0802005\pi\)
\(164\) 2.15928 3.73998i 0.168611 0.292044i
\(165\) −0.424416 + 0.0237514i −0.0330408 + 0.00184904i
\(166\) 14.7348 8.50712i 1.14364 0.660281i
\(167\) −9.67422 16.7562i −0.748614 1.29664i −0.948487 0.316815i \(-0.897386\pi\)
0.199874 0.979822i \(-0.435947\pi\)
\(168\) 4.31822 1.53394i 0.333158 0.118346i
\(169\) −5.99843 + 10.3896i −0.461418 + 0.799199i
\(170\) 1.82898i 0.140276i
\(171\) −2.12793 18.9526i −0.162727 1.44934i
\(172\) 4.49843 0.343002
\(173\) −2.41827 + 4.18856i −0.183858 + 0.318451i −0.943191 0.332251i \(-0.892192\pi\)
0.759333 + 0.650702i \(0.225525\pi\)
\(174\) 2.65068 1.73476i 0.200948 0.131512i
\(175\) 3.03723 12.5098i 0.229593 0.945649i
\(176\) −0.579764 + 0.334727i −0.0437013 + 0.0252310i
\(177\) 12.6477 8.27738i 0.950658 0.622166i
\(178\) 9.27628 + 5.35566i 0.695286 + 0.401424i
\(179\) 3.65796i 0.273409i −0.990612 0.136704i \(-0.956349\pi\)
0.990612 0.136704i \(-0.0436511\pi\)
\(180\) −0.440193 + 1.00786i −0.0328101 + 0.0751213i
\(181\) 5.66796i 0.421296i −0.977562 0.210648i \(-0.932443\pi\)
0.977562 0.210648i \(-0.0675574\pi\)
\(182\) −2.54269 + 0.746101i −0.188476 + 0.0553047i
\(183\) −3.87128 + 7.66485i −0.286173 + 0.566602i
\(184\) −3.84729 6.66371i −0.283626 0.491255i
\(185\) 0.947269 + 1.64072i 0.0696446 + 0.120628i
\(186\) −0.612209 10.9396i −0.0448893 0.802132i
\(187\) −2.89248 1.66997i −0.211519 0.122120i
\(188\) 8.32901 0.607455
\(189\) 6.01852 + 12.3603i 0.437783 + 0.899081i
\(190\) 2.33055 0.169076
\(191\) 23.7098 + 13.6888i 1.71558 + 0.990490i 0.926583 + 0.376091i \(0.122732\pi\)
0.788996 + 0.614398i \(0.210601\pi\)
\(192\) 0.0967785 + 1.72934i 0.00698438 + 0.124805i
\(193\) 5.01413 + 8.68473i 0.360925 + 0.625141i 0.988113 0.153727i \(-0.0491276\pi\)
−0.627188 + 0.778868i \(0.715794\pi\)
\(194\) −8.60787 14.9093i −0.618009 1.07042i
\(195\) 0.286710 0.567664i 0.0205317 0.0406513i
\(196\) 6.22069 + 3.20983i 0.444335 + 0.229274i
\(197\) 18.8258i 1.34129i 0.741780 + 0.670643i \(0.233982\pi\)
−0.741780 + 0.670643i \(0.766018\pi\)
\(198\) −1.19197 1.61639i −0.0847098 0.114872i
\(199\) 5.36406i 0.380248i 0.981760 + 0.190124i \(0.0608890\pi\)
−0.981760 + 0.190124i \(0.939111\pi\)
\(200\) 4.21374 + 2.43280i 0.297956 + 0.172025i
\(201\) 15.7836 10.3297i 1.11329 0.728601i
\(202\) −13.6241 + 7.86586i −0.958587 + 0.553440i
\(203\) 4.70242 + 1.14169i 0.330045 + 0.0801312i
\(204\) −7.23048 + 4.73205i −0.506235 + 0.331310i
\(205\) −0.791588 + 1.37107i −0.0552869 + 0.0957597i
\(206\) −11.4445 −0.797377
\(207\) 18.5785 13.7003i 1.29130 0.952239i
\(208\) 1.00156i 0.0694460i
\(209\) −2.12793 + 3.68569i −0.147192 + 0.254944i
\(210\) −1.58305 + 0.562341i −0.109241 + 0.0388052i
\(211\) −0.828981 1.43584i −0.0570694 0.0988471i 0.836079 0.548609i \(-0.184842\pi\)
−0.893149 + 0.449762i \(0.851509\pi\)
\(212\) 0 0
\(213\) −9.50869 + 0.532130i −0.651525 + 0.0364609i
\(214\) 5.53088 9.57976i 0.378083 0.654859i
\(215\) −1.64912 −0.112469
\(216\) −5.12325 + 0.867380i −0.348593 + 0.0590178i
\(217\) 11.5518 12.1108i 0.784189 0.822137i
\(218\) −9.14811 5.28166i −0.619588 0.357719i
\(219\) −7.04387 + 0.394192i −0.475980 + 0.0266370i
\(220\) 0.212540 0.122710i 0.0143295 0.00827312i
\(221\) 4.32741 2.49843i 0.291093 0.168063i
\(222\) −4.03540 + 7.98979i −0.270838 + 0.536240i
\(223\) 14.7546 + 8.51860i 0.988044 + 0.570448i 0.904689 0.426072i \(-0.140103\pi\)
0.0833551 + 0.996520i \(0.473436\pi\)
\(224\) −1.82612 + 1.91449i −0.122013 + 0.127917i
\(225\) −5.84239 + 13.3766i −0.389492 + 0.891774i
\(226\) 4.15953 0.276688
\(227\) 2.55512 4.42560i 0.169589 0.293737i −0.768686 0.639626i \(-0.779089\pi\)
0.938276 + 0.345889i \(0.112423\pi\)
\(228\) 6.02973 + 9.21332i 0.399329 + 0.610167i
\(229\) −13.2215 + 7.63345i −0.873703 + 0.504433i −0.868577 0.495554i \(-0.834965\pi\)
−0.00512595 + 0.999987i \(0.501632\pi\)
\(230\) 1.41041 + 2.44290i 0.0929997 + 0.161080i
\(231\) 0.556099 3.01700i 0.0365886 0.198504i
\(232\) −0.914490 + 1.58394i −0.0600392 + 0.103991i
\(233\) 10.1930i 0.667767i −0.942614 0.333883i \(-0.891641\pi\)
0.942614 0.333883i \(-0.108359\pi\)
\(234\) 2.98593 0.335250i 0.195197 0.0219160i
\(235\) −3.05340 −0.199182
\(236\) −4.36348 + 7.55776i −0.284038 + 0.491968i
\(237\) 12.9183 + 6.52461i 0.839131 + 0.423819i
\(238\) −12.8272 3.11429i −0.831462 0.201870i
\(239\) −16.6117 + 9.59076i −1.07452 + 0.620375i −0.929413 0.369041i \(-0.879686\pi\)
−0.145108 + 0.989416i \(0.546353\pi\)
\(240\) −0.0354788 0.633975i −0.00229015 0.0409229i
\(241\) 17.9140 + 10.3426i 1.15394 + 0.666227i 0.949844 0.312724i \(-0.101241\pi\)
0.204095 + 0.978951i \(0.434575\pi\)
\(242\) 10.5518i 0.678297i
\(243\) −4.30078 14.9834i −0.275895 0.961188i
\(244\) 4.95771i 0.317385i
\(245\) −2.28049 1.17672i −0.145695 0.0751778i
\(246\) −7.46828 + 0.417944i −0.476160 + 0.0266471i
\(247\) −3.18359 5.51413i −0.202567 0.350856i
\(248\) 3.16294 + 5.47837i 0.200847 + 0.347877i
\(249\) −26.3048 13.2857i −1.66700 0.841950i
\(250\) −3.13216 1.80836i −0.198096 0.114370i
\(251\) −1.81200 −0.114373 −0.0571864 0.998364i \(-0.518213\pi\)
−0.0571864 + 0.998364i \(0.518213\pi\)
\(252\) −6.31886 4.80333i −0.398051 0.302581i
\(253\) −5.15117 −0.323851
\(254\) −1.44579 0.834727i −0.0907169 0.0523754i
\(255\) 2.65068 1.73476i 0.165992 0.108635i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 3.22773 + 5.59059i 0.201340 + 0.348731i 0.948960 0.315395i \(-0.102137\pi\)
−0.747620 + 0.664126i \(0.768804\pi\)
\(258\) −4.26670 6.51943i −0.265633 0.405882i
\(259\) −13.1198 + 3.84974i −0.815224 + 0.239211i
\(260\) 0.367172i 0.0227710i
\(261\) −5.02826 2.19615i −0.311242 0.135938i
\(262\) 13.5321i 0.836018i
\(263\) −7.63888 4.41031i −0.471034 0.271951i 0.245639 0.969361i \(-0.421002\pi\)
−0.716672 + 0.697410i \(0.754336\pi\)
\(264\) 1.03501 + 0.522749i 0.0637002 + 0.0321730i
\(265\) 0 0
\(266\) −3.96833 + 16.3448i −0.243314 + 1.00216i
\(267\) −1.03663 18.5236i −0.0634404 1.13362i
\(268\) −5.44537 + 9.43166i −0.332629 + 0.576130i
\(269\) 14.2653 0.869773 0.434886 0.900485i \(-0.356788\pi\)
0.434886 + 0.900485i \(0.356788\pi\)
\(270\) 1.87817 0.317980i 0.114302 0.0193516i
\(271\) 3.05281i 0.185445i −0.995692 0.0927226i \(-0.970443\pi\)
0.995692 0.0927226i \(-0.0295570\pi\)
\(272\) 2.49453 4.32065i 0.151253 0.261978i
\(273\) 3.49300 + 2.97737i 0.211406 + 0.180198i
\(274\) 4.49425 + 7.78428i 0.271508 + 0.470265i
\(275\) 2.82090 1.62865i 0.170107 0.0982112i
\(276\) −6.00839 + 11.8962i −0.361663 + 0.716066i
\(277\) −0.632828 + 1.09609i −0.0380230 + 0.0658577i −0.884411 0.466710i \(-0.845439\pi\)
0.846388 + 0.532567i \(0.178773\pi\)
\(278\) −9.29922 −0.557730
\(279\) −15.2738 + 11.2633i −0.914417 + 0.674318i
\(280\) 0.669453 0.701849i 0.0400075 0.0419435i
\(281\) 9.11639 + 5.26335i 0.543838 + 0.313985i 0.746633 0.665236i \(-0.231669\pi\)
−0.202795 + 0.979221i \(0.565002\pi\)
\(282\) −7.89994 12.0710i −0.470434 0.718815i
\(283\) −17.2094 + 9.93588i −1.02300 + 0.590627i −0.914970 0.403522i \(-0.867786\pi\)
−0.108025 + 0.994148i \(0.534453\pi\)
\(284\) 4.76178 2.74922i 0.282560 0.163136i
\(285\) −2.21049 3.37759i −0.130938 0.200071i
\(286\) −0.580671 0.335250i −0.0343358 0.0198238i
\(287\) −8.26784 7.88623i −0.488035 0.465509i
\(288\) 2.41449 1.78052i 0.142275 0.104918i
\(289\) 7.89074 0.464161
\(290\) 0.335250 0.580671i 0.0196866 0.0340982i
\(291\) −13.4431 + 26.6163i −0.788047 + 1.56028i
\(292\) 3.52744 2.03657i 0.206428 0.119181i
\(293\) 6.70606 + 11.6152i 0.391772 + 0.678569i 0.992683 0.120747i \(-0.0385289\pi\)
−0.600911 + 0.799316i \(0.705196\pi\)
\(294\) −1.24832 12.0599i −0.0728037 0.703349i
\(295\) 1.59964 2.77066i 0.0931348 0.161314i
\(296\) 5.16789i 0.300377i
\(297\) −1.21201 + 3.26061i −0.0703280 + 0.189200i
\(298\) −2.83211 −0.164060
\(299\) 3.85331 6.67413i 0.222843 0.385975i
\(300\) −0.470886 8.41431i −0.0271866 0.485800i
\(301\) 2.80803 11.5657i 0.161852 0.666638i
\(302\) 14.3343 8.27592i 0.824847 0.476225i
\(303\) 24.3220 + 12.2843i 1.39726 + 0.705713i
\(304\) −5.50552 3.17861i −0.315763 0.182306i
\(305\) 1.81749i 0.104069i
\(306\) 13.7160 + 5.99063i 0.784092 + 0.342461i
\(307\) 0.653728i 0.0373102i −0.999826 0.0186551i \(-0.994062\pi\)
0.999826 0.0186551i \(-0.00593845\pi\)
\(308\) 0.498700 + 1.69955i 0.0284160 + 0.0968409i
\(309\) 10.8550 + 16.5862i 0.617517 + 0.943554i
\(310\) −1.15953 2.00836i −0.0658567 0.114067i
\(311\) 4.62246 + 8.00634i 0.262116 + 0.453998i 0.966804 0.255519i \(-0.0822464\pi\)
−0.704688 + 0.709517i \(0.748913\pi\)
\(312\) −1.45154 + 0.949969i −0.0821770 + 0.0537814i
\(313\) −5.33830 3.08207i −0.301739 0.174209i 0.341485 0.939887i \(-0.389070\pi\)
−0.643224 + 0.765678i \(0.722403\pi\)
\(314\) 2.83456 0.159963
\(315\) 2.31648 + 1.76089i 0.130519 + 0.0992150i
\(316\) −8.35568 −0.470044
\(317\) −17.8876 10.3274i −1.00467 0.580045i −0.0950420 0.995473i \(-0.530299\pi\)
−0.909626 + 0.415428i \(0.863632\pi\)
\(318\) 0 0
\(319\) 0.612209 + 1.06038i 0.0342771 + 0.0593697i
\(320\) 0.183299 + 0.317483i 0.0102467 + 0.0177479i
\(321\) −19.1296 + 1.07054i −1.06771 + 0.0597517i
\(322\) −19.5344 + 5.73197i −1.08861 + 0.319430i
\(323\) 31.7166i 1.76476i
\(324\) 6.11639 + 6.60226i 0.339799 + 0.366792i
\(325\) 4.87322i 0.270318i
\(326\) 21.4151 + 12.3640i 1.18608 + 0.684781i
\(327\) 1.02230 + 18.2676i 0.0565334 + 1.01020i
\(328\) 3.73998 2.15928i 0.206506 0.119226i
\(329\) 5.19917 21.4144i 0.286639 1.18061i
\(330\) −0.379431 0.191639i −0.0208870 0.0105494i
\(331\) −5.35568 + 9.27631i −0.294375 + 0.509872i −0.974839 0.222909i \(-0.928445\pi\)
0.680464 + 0.732781i \(0.261778\pi\)
\(332\) 17.0142 0.933778
\(333\) 15.4069 1.72983i 0.844291 0.0947941i
\(334\) 19.3484i 1.05870i
\(335\) 1.99626 3.45763i 0.109067 0.188910i
\(336\) 4.50666 + 0.830676i 0.245858 + 0.0453171i
\(337\) 3.77592 + 6.54008i 0.205687 + 0.356261i 0.950351 0.311179i \(-0.100724\pi\)
−0.744664 + 0.667439i \(0.767390\pi\)
\(338\) −10.3896 + 5.99843i −0.565119 + 0.326272i
\(339\) −3.94525 6.02827i −0.214277 0.327411i
\(340\) −0.914490 + 1.58394i −0.0495952 + 0.0859014i
\(341\) 4.23488 0.229332
\(342\) 7.63345 17.4774i 0.412770 0.945069i
\(343\) 12.1358 13.9901i 0.655270 0.755394i
\(344\) 3.89576 + 2.24922i 0.210045 + 0.121270i
\(345\) 2.20267 4.36112i 0.118588 0.234795i
\(346\) −4.18856 + 2.41827i −0.225179 + 0.130007i
\(347\) −9.46737 + 5.46599i −0.508235 + 0.293430i −0.732108 0.681189i \(-0.761463\pi\)
0.223873 + 0.974618i \(0.428130\pi\)
\(348\) 3.16294 0.177006i 0.169551 0.00948851i
\(349\) 1.02562 + 0.592145i 0.0549004 + 0.0316968i 0.527199 0.849742i \(-0.323242\pi\)
−0.472299 + 0.881439i \(0.656576\pi\)
\(350\) 8.88520 9.31516i 0.474934 0.497916i
\(351\) −3.31798 4.00943i −0.177101 0.214008i
\(352\) −0.669453 −0.0356820
\(353\) 16.7912 29.0832i 0.893706 1.54794i 0.0583086 0.998299i \(-0.481429\pi\)
0.835398 0.549646i \(-0.185237\pi\)
\(354\) 15.0919 0.844581i 0.802126 0.0448890i
\(355\) −1.74566 + 1.00786i −0.0926501 + 0.0534915i
\(356\) 5.35566 + 9.27628i 0.283849 + 0.491642i
\(357\) 7.65294 + 21.5439i 0.405036 + 1.14022i
\(358\) 1.82898 3.16789i 0.0966646 0.167428i
\(359\) 10.1281i 0.534542i 0.963621 + 0.267271i \(0.0861219\pi\)
−0.963621 + 0.267271i \(0.913878\pi\)
\(360\) −0.885148 + 0.652734i −0.0466514 + 0.0344021i
\(361\) −21.4143 −1.12707
\(362\) 2.83398 4.90860i 0.148951 0.257990i
\(363\) −15.2924 + 10.0083i −0.802644 + 0.525297i
\(364\) −2.57508 0.625201i −0.134971 0.0327694i
\(365\) −1.29315 + 0.746603i −0.0676868 + 0.0390790i
\(366\) −7.18505 + 4.70232i −0.375569 + 0.245794i
\(367\) −15.5903 9.00104i −0.813805 0.469850i 0.0344706 0.999406i \(-0.489025\pi\)
−0.848275 + 0.529555i \(0.822359\pi\)
\(368\) 7.69459i 0.401108i
\(369\) 7.68927 + 10.4271i 0.400287 + 0.542814i
\(370\) 1.89454i 0.0984923i
\(371\) 0 0
\(372\) 4.93962 9.78010i 0.256108 0.507074i
\(373\) −8.20451 14.2106i −0.424814 0.735799i 0.571589 0.820540i \(-0.306327\pi\)
−0.996403 + 0.0847411i \(0.972994\pi\)
\(374\) −1.66997 2.89248i −0.0863522 0.149566i
\(375\) 0.350020 + 6.25454i 0.0180749 + 0.322983i
\(376\) 7.21313 + 4.16450i 0.371989 + 0.214768i
\(377\) −1.83184 −0.0943447
\(378\) −0.967967 + 13.7136i −0.0497869 + 0.705352i
\(379\) −2.91372 −0.149668 −0.0748339 0.997196i \(-0.523843\pi\)
−0.0748339 + 0.997196i \(0.523843\pi\)
\(380\) 2.01831 + 1.16527i 0.103537 + 0.0597773i
\(381\) 0.161567 + 2.88706i 0.00827734 + 0.147909i
\(382\) 13.6888 + 23.7098i 0.700382 + 1.21310i
\(383\) −4.28721 7.42567i −0.219066 0.379434i 0.735456 0.677572i \(-0.236968\pi\)
−0.954523 + 0.298138i \(0.903634\pi\)
\(384\) −0.780860 + 1.54605i −0.0398481 + 0.0788963i
\(385\) −0.182822 0.623052i −0.00931749 0.0317537i
\(386\) 10.0283i 0.510425i
\(387\) −5.40150 + 12.3672i −0.274574 + 0.628659i
\(388\) 17.2157i 0.873997i
\(389\) −30.7906 17.7770i −1.56115 0.901328i −0.997142 0.0755559i \(-0.975927\pi\)
−0.564004 0.825772i \(-0.690740\pi\)
\(390\) 0.532130 0.348257i 0.0269455 0.0176347i
\(391\) 33.2456 19.1944i 1.68130 0.970702i
\(392\) 3.78236 + 5.89014i 0.191038 + 0.297497i
\(393\) 19.6117 12.8350i 0.989279 0.647442i
\(394\) −9.41292 + 16.3037i −0.474216 + 0.821367i
\(395\) 3.06318 0.154125
\(396\) −0.224084 1.99582i −0.0112606 0.100294i
\(397\) 3.58034i 0.179692i 0.995956 + 0.0898460i \(0.0286375\pi\)
−0.995956 + 0.0898460i \(0.971363\pi\)
\(398\) −2.68203 + 4.64541i −0.134438 + 0.232853i
\(399\) 27.4519 9.75162i 1.37431 0.488192i
\(400\) 2.43280 + 4.21374i 0.121640 + 0.210687i
\(401\) 0.165300 0.0954357i 0.00825467 0.00476583i −0.495867 0.868398i \(-0.665150\pi\)
0.504122 + 0.863633i \(0.331816\pi\)
\(402\) 18.8338 1.05399i 0.939347 0.0525682i
\(403\) −3.16789 + 5.48694i −0.157804 + 0.273324i
\(404\) −15.7317 −0.782683
\(405\) −2.24226 2.42037i −0.111419 0.120269i
\(406\) 3.50157 + 3.33994i 0.173780 + 0.165759i
\(407\) −2.99615 1.72983i −0.148514 0.0857445i
\(408\) −8.62781 + 0.482834i −0.427140 + 0.0239038i
\(409\) −3.00832 + 1.73685i −0.148752 + 0.0858819i −0.572529 0.819885i \(-0.694037\pi\)
0.423777 + 0.905767i \(0.360704\pi\)
\(410\) −1.37107 + 0.791588i −0.0677124 + 0.0390938i
\(411\) 7.01877 13.8966i 0.346210 0.685471i
\(412\) −9.91124 5.72226i −0.488292 0.281915i
\(413\) 16.7077 + 15.9365i 0.822130 + 0.784183i
\(414\) 22.9396 2.57558i 1.12742 0.126583i
\(415\) −6.23739 −0.306182
\(416\) 0.500782 0.867380i 0.0245529 0.0425268i
\(417\) 8.82017 + 13.4771i 0.431926 + 0.659975i
\(418\) −3.68569 + 2.12793i −0.180273 + 0.104081i
\(419\) 0.703955 + 1.21929i 0.0343905 + 0.0595660i 0.882708 0.469921i \(-0.155718\pi\)
−0.848318 + 0.529487i \(0.822384\pi\)
\(420\) −1.65213 0.304524i −0.0806158 0.0148593i
\(421\) 15.1930 26.3151i 0.740463 1.28252i −0.211822 0.977308i \(-0.567940\pi\)
0.952285 0.305211i \(-0.0987268\pi\)
\(422\) 1.65796i 0.0807083i
\(423\) −10.0011 + 22.8982i −0.486269 + 1.11335i
\(424\) 0 0
\(425\) −12.1374 + 21.0226i −0.588751 + 1.01975i
\(426\) −8.50083 4.29351i −0.411867 0.208021i
\(427\) −12.7466 3.09472i −0.616850 0.149764i
\(428\) 9.57976 5.53088i 0.463055 0.267345i
\(429\) 0.0648900 + 1.15953i 0.00313292 + 0.0559825i
\(430\) −1.42818 0.824559i −0.0688728 0.0397638i
\(431\) 27.2747i 1.31378i 0.753988 + 0.656888i \(0.228127\pi\)
−0.753988 + 0.656888i \(0.771873\pi\)
\(432\) −4.87055 1.81045i −0.234335 0.0871053i
\(433\) 8.15047i 0.391686i −0.980635 0.195843i \(-0.937256\pi\)
0.980635 0.195843i \(-0.0627444\pi\)
\(434\) 16.0596 4.71237i 0.770885 0.226201i
\(435\) −1.15953 + 0.0648900i −0.0555951 + 0.00311124i
\(436\) −5.28166 9.14811i −0.252946 0.438115i
\(437\) −24.4581 42.3627i −1.16999 2.02648i
\(438\) −6.29726 3.18055i −0.300895 0.151973i
\(439\) 10.6005 + 6.12020i 0.505934 + 0.292101i 0.731161 0.682205i \(-0.238979\pi\)
−0.225226 + 0.974306i \(0.572312\pi\)
\(440\) 0.245420 0.0117000
\(441\) −16.2940 + 13.2478i −0.775906 + 0.630848i
\(442\) 4.99687 0.237677
\(443\) 6.93544 + 4.00418i 0.329513 + 0.190244i 0.655625 0.755087i \(-0.272405\pi\)
−0.326112 + 0.945331i \(0.605739\pi\)
\(444\) −7.48965 + 4.90166i −0.355443 + 0.232623i
\(445\) −1.96337 3.40067i −0.0930729 0.161207i
\(446\) 8.51860 + 14.7546i 0.403367 + 0.698653i
\(447\) 2.68622 + 4.10449i 0.127054 + 0.194136i
\(448\) −2.53871 + 0.744936i −0.119943 + 0.0351949i
\(449\) 14.5183i 0.685163i −0.939488 0.342581i \(-0.888699\pi\)
0.939488 0.342581i \(-0.111301\pi\)
\(450\) −11.7480 + 8.66329i −0.553804 + 0.408391i
\(451\) 2.89108i 0.136135i
\(452\) 3.60226 + 2.07976i 0.169436 + 0.0978239i
\(453\) −25.5899 12.9247i −1.20232 0.607254i
\(454\) 4.42560 2.55512i 0.207704 0.119918i
\(455\) 0.944020 + 0.229197i 0.0442563 + 0.0107449i
\(456\) 0.615242 + 10.9938i 0.0288114 + 0.514833i
\(457\) −4.97751 + 8.62130i −0.232838 + 0.403287i −0.958642 0.284614i \(-0.908135\pi\)
0.725804 + 0.687901i \(0.241468\pi\)
\(458\) −15.2669 −0.713375
\(459\) −4.32741 25.5602i −0.201986 1.19305i
\(460\) 2.82082i 0.131521i
\(461\) −16.1635 + 27.9960i −0.752810 + 1.30391i 0.193645 + 0.981072i \(0.437969\pi\)
−0.946456 + 0.322834i \(0.895364\pi\)
\(462\) 1.99009 2.33475i 0.0925876 0.108622i
\(463\) −4.72516 8.18421i −0.219597 0.380353i 0.735088 0.677972i \(-0.237141\pi\)
−0.954685 + 0.297619i \(0.903807\pi\)
\(464\) −1.58394 + 0.914490i −0.0735327 + 0.0424541i
\(465\) −1.81086 + 3.58536i −0.0839765 + 0.166267i
\(466\) 5.09651 8.82741i 0.236091 0.408922i
\(467\) 20.6623 0.956138 0.478069 0.878322i \(-0.341337\pi\)
0.478069 + 0.878322i \(0.341337\pi\)
\(468\) 2.75352 + 1.20263i 0.127281 + 0.0555916i
\(469\) 20.8502 + 19.8878i 0.962773 + 0.918335i
\(470\) −2.64432 1.52670i −0.121973 0.0704214i
\(471\) −2.68853 4.10803i −0.123881 0.189288i
\(472\) −7.55776 + 4.36348i −0.347874 + 0.200845i
\(473\) 2.60803 1.50575i 0.119917 0.0692343i
\(474\) 7.92524 + 12.1096i 0.364018 + 0.556213i
\(475\) 26.7877 + 15.4659i 1.22910 + 0.709623i
\(476\) −9.55151 9.11064i −0.437793 0.417586i
\(477\) 0 0
\(478\) −19.1815 −0.877343
\(479\) −5.08042 + 8.79955i −0.232131 + 0.402062i −0.958435 0.285311i \(-0.907903\pi\)
0.726304 + 0.687373i \(0.241236\pi\)
\(480\) 0.286262 0.566778i 0.0130660 0.0258697i
\(481\) 4.48252 2.58799i 0.204386 0.118002i
\(482\) 10.3426 + 17.9140i 0.471094 + 0.815958i
\(483\) 26.8352 + 22.8738i 1.22104 + 1.04079i
\(484\) 5.27592 9.13815i 0.239814 0.415371i
\(485\) 6.31126i 0.286579i
\(486\) 3.76713 15.1264i 0.170881 0.686149i
\(487\) −31.2296 −1.41515 −0.707575 0.706638i \(-0.750211\pi\)
−0.707575 + 0.706638i \(0.750211\pi\)
\(488\) 2.47886 4.29351i 0.112213 0.194358i
\(489\) −2.39315 42.7634i −0.108222 1.93383i
\(490\) −1.38661 2.15931i −0.0626404 0.0975479i
\(491\) 17.8314 10.2950i 0.804720 0.464605i −0.0403987 0.999184i \(-0.512863\pi\)
0.845119 + 0.534578i \(0.179529\pi\)
\(492\) −6.67669 3.37219i −0.301009 0.152030i
\(493\) −7.90239 4.56245i −0.355906 0.205482i
\(494\) 6.36717i 0.286473i
\(495\) 0.0821487 + 0.731664i 0.00369231 + 0.0328858i
\(496\) 6.32588i 0.284040i
\(497\) −4.09598 13.9590i −0.183730 0.626145i
\(498\) −16.1378 24.6582i −0.723150 1.10496i
\(499\) 12.5766 + 21.7834i 0.563007 + 0.975157i 0.997232 + 0.0743527i \(0.0236891\pi\)
−0.434225 + 0.900805i \(0.642978\pi\)
\(500\) −1.80836 3.13216i −0.0808722 0.140075i
\(501\) −28.0411 + 18.3517i −1.25278 + 0.819894i
\(502\) −1.56924 0.906002i −0.0700387 0.0404369i
\(503\) −31.1553 −1.38915 −0.694574 0.719421i \(-0.744407\pi\)
−0.694574 + 0.719421i \(0.744407\pi\)
\(504\) −3.07063 7.31924i −0.136777 0.326025i
\(505\) 5.76722 0.256638
\(506\) −4.46104 2.57558i −0.198317 0.114499i
\(507\) 18.5477 + 9.36787i 0.823733 + 0.416042i
\(508\) −0.834727 1.44579i −0.0370350 0.0641465i
\(509\) −2.41674 4.18591i −0.107120 0.185537i 0.807482 0.589892i \(-0.200830\pi\)
−0.914602 + 0.404354i \(0.867496\pi\)
\(510\) 3.16294 0.177006i 0.140057 0.00783796i
\(511\) −3.03423 10.3405i −0.134226 0.457439i
\(512\) 1.00000i 0.0441942i
\(513\) −32.5696 + 5.51413i −1.43798 + 0.243455i
\(514\) 6.45545i 0.284738i
\(515\) 3.63344 + 2.09777i 0.160109 + 0.0924387i
\(516\) −0.435352 7.77934i −0.0191653 0.342467i
\(517\) 4.82886 2.78794i 0.212373 0.122613i
\(518\) −13.2869 3.22592i −0.583795 0.141739i
\(519\) 7.47751 + 3.77666i 0.328226 + 0.165777i
\(520\) −0.183586 + 0.317980i −0.00805077 + 0.0139443i
\(521\) 17.5322 0.768101 0.384050 0.923312i \(-0.374529\pi\)
0.384050 + 0.923312i \(0.374529\pi\)
\(522\) −3.25653 4.41606i −0.142534 0.193286i
\(523\) 19.1019i 0.835267i 0.908616 + 0.417633i \(0.137140\pi\)
−0.908616 + 0.417633i \(0.862860\pi\)
\(524\) −6.76607 + 11.7192i −0.295577 + 0.511955i
\(525\) −21.9276 4.04174i −0.957000 0.176396i
\(526\) −4.41031 7.63888i −0.192299 0.333071i
\(527\) −27.3319 + 15.7801i −1.19060 + 0.687392i
\(528\) 0.634967 + 0.970217i 0.0276334 + 0.0422233i
\(529\) 18.1033 31.3559i 0.787101 1.36330i
\(530\) 0 0
\(531\) −15.5385 21.0711i −0.674312 0.914410i
\(532\) −11.6091 + 12.1708i −0.503317 + 0.527673i
\(533\) 3.74584 + 2.16266i 0.162250 + 0.0936752i
\(534\) 8.36404 16.5602i 0.361947 0.716630i
\(535\) −3.51192 + 2.02761i −0.151834 + 0.0876612i
\(536\) −9.43166 + 5.44537i −0.407386 + 0.235204i
\(537\) −6.32588 + 0.354012i −0.272982 + 0.0152767i
\(538\) 12.3541 + 7.13267i 0.532625 + 0.307511i
\(539\) 4.68095 0.221286i 0.201623 0.00953144i
\(540\) 1.78554 + 0.663707i 0.0768372 + 0.0285614i
\(541\) 13.6642 0.587471 0.293735 0.955887i \(-0.405102\pi\)
0.293735 + 0.955887i \(0.405102\pi\)
\(542\) 1.52641 2.64381i 0.0655648 0.113562i
\(543\) −9.80186 + 0.548537i −0.420638 + 0.0235400i
\(544\) 4.32065 2.49453i 0.185247 0.106952i
\(545\) 1.93625 + 3.35368i 0.0829397 + 0.143656i
\(546\) 1.53634 + 4.32498i 0.0657494 + 0.185092i
\(547\) 4.94380 8.56292i 0.211382 0.366124i −0.740765 0.671764i \(-0.765537\pi\)
0.952147 + 0.305640i \(0.0988703\pi\)
\(548\) 8.98851i 0.383970i
\(549\) 13.6298 + 5.95299i 0.581707 + 0.254067i
\(550\) 3.25730 0.138892
\(551\) −5.81362 + 10.0695i −0.247669 + 0.428975i
\(552\) −11.1515 + 7.29820i −0.474640 + 0.310632i
\(553\) −5.21582 + 21.4829i −0.221799 + 0.913548i
\(554\) −1.09609 + 0.632828i −0.0465684 + 0.0268863i
\(555\) 2.74569 1.79694i 0.116548 0.0762759i
\(556\) −8.05336 4.64961i −0.341539 0.197187i
\(557\) 12.5800i 0.533034i 0.963830 + 0.266517i \(0.0858728\pi\)
−0.963830 + 0.266517i \(0.914127\pi\)
\(558\) −18.8591 + 2.11744i −0.798371 + 0.0896384i
\(559\) 4.50547i 0.190561i
\(560\) 0.930688 0.273092i 0.0393287 0.0115402i
\(561\) −2.60803 + 5.16371i −0.110111 + 0.218012i
\(562\) 5.26335 + 9.11639i 0.222021 + 0.384552i
\(563\) 12.1666 + 21.0732i 0.512763 + 0.888132i 0.999890 + 0.0148007i \(0.00471137\pi\)
−0.487127 + 0.873331i \(0.661955\pi\)
\(564\) −0.806068 14.4037i −0.0339416 0.606506i
\(565\) −1.32058 0.762437i −0.0555572 0.0320760i
\(566\) −19.8718 −0.835272
\(567\) 20.7928 11.6043i 0.873215 0.487335i
\(568\) 5.49843 0.230709
\(569\) −8.18746 4.72703i −0.343236 0.198167i 0.318466 0.947934i \(-0.396832\pi\)
−0.661702 + 0.749767i \(0.730166\pi\)
\(570\) −0.225547 4.03032i −0.00944711 0.168811i
\(571\) 15.7843 + 27.3392i 0.660551 + 1.14411i 0.980471 + 0.196664i \(0.0630108\pi\)
−0.319920 + 0.947445i \(0.603656\pi\)
\(572\) −0.335250 0.580671i −0.0140175 0.0242791i
\(573\) 21.3781 42.3272i 0.893084 1.76824i
\(574\) −3.21705 10.9636i −0.134277 0.457612i
\(575\) 37.4388i 1.56131i
\(576\) 2.98127 0.334727i 0.124219 0.0139469i
\(577\) 33.5794i 1.39793i 0.715157 + 0.698964i \(0.246355\pi\)
−0.715157 + 0.698964i \(0.753645\pi\)
\(578\) 6.83358 + 3.94537i 0.284239 + 0.164106i
\(579\) 14.5336 9.51166i 0.603997 0.395291i
\(580\) 0.580671 0.335250i 0.0241110 0.0139205i
\(581\) 10.6207 43.7446i 0.440621 1.81483i
\(582\) −24.9502 + 16.3289i −1.03422 + 0.676853i
\(583\) 0 0
\(584\) 4.07314 0.168548
\(585\) −1.00943 0.440882i −0.0417350 0.0182282i
\(586\) 13.4121i 0.554049i
\(587\) −9.65855 + 16.7291i −0.398651 + 0.690484i −0.993560 0.113310i \(-0.963855\pi\)
0.594909 + 0.803793i \(0.297188\pi\)
\(588\) 4.94888 11.0684i 0.204088 0.456451i
\(589\) 20.1075 + 34.8272i 0.828516 + 1.43503i
\(590\) 2.77066 1.59964i 0.114066 0.0658562i
\(591\) 32.5564 1.82194i 1.33919 0.0749445i
\(592\) 2.58394 4.47552i 0.106199 0.183943i
\(593\) 0.733196 0.0301088 0.0150544 0.999887i \(-0.495208\pi\)
0.0150544 + 0.999887i \(0.495208\pi\)
\(594\) −2.67994 + 2.21776i −0.109959 + 0.0909959i
\(595\) 3.50157 + 3.33994i 0.143550 + 0.136924i
\(596\) −2.45268 1.41606i −0.100466 0.0580039i
\(597\) 9.27631 0.519125i 0.379654 0.0212464i
\(598\) 6.67413 3.85331i 0.272926 0.157574i
\(599\) 26.6548 15.3892i 1.08909 0.628785i 0.155754 0.987796i \(-0.450219\pi\)
0.933333 + 0.359011i \(0.116886\pi\)
\(600\) 3.79936 7.52245i 0.155108 0.307103i
\(601\) −0.786931 0.454335i −0.0320996 0.0185327i 0.483864 0.875143i \(-0.339233\pi\)
−0.515964 + 0.856610i \(0.672566\pi\)
\(602\) 8.21470 8.61221i 0.334806 0.351007i
\(603\) −19.3911 26.2956i −0.789668 1.07084i
\(604\) 16.5518 0.673484
\(605\) −1.93414 + 3.35003i −0.0786340 + 0.136198i
\(606\) 14.9213 + 22.7995i 0.606137 + 0.926166i
\(607\) 38.7783 22.3887i 1.57396 0.908728i 0.578287 0.815833i \(-0.303721\pi\)
0.995676 0.0928949i \(-0.0296121\pi\)
\(608\) −3.17861 5.50552i −0.128910 0.223278i
\(609\) 1.51929 8.24259i 0.0615647 0.334007i
\(610\) −0.908744 + 1.57399i −0.0367940 + 0.0637290i
\(611\) 8.34204i 0.337483i
\(612\) 8.88310 + 12.0460i 0.359078 + 0.486932i
\(613\) 18.1480 0.732992 0.366496 0.930420i \(-0.380557\pi\)
0.366496 + 0.930420i \(0.380557\pi\)
\(614\) 0.326864 0.566145i 0.0131912 0.0228478i
\(615\) 2.44766 + 1.23624i 0.0986993 + 0.0498500i
\(616\) −0.417889 + 1.72120i −0.0168372 + 0.0693493i
\(617\) −19.7393 + 11.3965i −0.794674 + 0.458805i −0.841605 0.540093i \(-0.818389\pi\)
0.0469315 + 0.998898i \(0.485056\pi\)
\(618\) 1.10758 + 19.7915i 0.0445535 + 0.796132i
\(619\) −38.4228 22.1834i −1.54434 0.891626i −0.998557 0.0537011i \(-0.982898\pi\)
−0.545785 0.837925i \(-0.683768\pi\)
\(620\) 2.31905i 0.0931355i
\(621\) −25.4906 30.8027i −1.02290 1.23607i
\(622\) 9.24493i 0.370688i
\(623\) 27.1930 7.97924i 1.08946 0.319682i
\(624\) −1.73205 + 0.0969299i −0.0693375 + 0.00388030i
\(625\) −11.5011 19.9204i −0.460043 0.796818i
\(626\) −3.08207 5.33830i −0.123184 0.213361i
\(627\) 6.57976 + 3.32323i 0.262770 + 0.132717i
\(628\) 2.45480 + 1.41728i 0.0979571 + 0.0565555i
\(629\) 25.7829 1.02803
\(630\) 1.12569 + 2.68322i 0.0448484 + 0.106902i
\(631\) −32.5707 −1.29662 −0.648310 0.761377i \(-0.724524\pi\)
−0.648310 + 0.761377i \(0.724524\pi\)
\(632\) −7.23623 4.17784i −0.287842 0.166186i
\(633\) −2.40283 + 1.57255i −0.0955039 + 0.0625033i
\(634\) −10.3274 17.8876i −0.410154 0.710408i
\(635\) 0.306009 + 0.530024i 0.0121436 + 0.0210333i
\(636\) 0 0
\(637\) −3.21486 + 6.23042i −0.127377 + 0.246858i
\(638\) 1.22442i 0.0484751i
\(639\) 1.84047 + 16.3923i 0.0728080 + 0.648470i
\(640\) 0.366598i 0.0144911i
\(641\) −10.2270 5.90456i −0.403942 0.233216i 0.284241 0.958753i \(-0.408258\pi\)
−0.688184 + 0.725537i \(0.741592\pi\)
\(642\) −17.1020 8.63768i −0.674962 0.340902i
\(643\) 25.3714 14.6482i 1.00055 0.577668i 0.0921392 0.995746i \(-0.470630\pi\)
0.908411 + 0.418078i \(0.137296\pi\)
\(644\) −19.7832 4.80315i −0.779569 0.189270i
\(645\) 0.159599 + 2.85189i 0.00628421 + 0.112293i
\(646\) 15.8583 27.4674i 0.623936 1.08069i
\(647\) −28.1683 −1.10741 −0.553705 0.832713i \(-0.686786\pi\)
−0.553705 + 0.832713i \(0.686786\pi\)
\(648\) 1.99582 + 8.77592i 0.0784032 + 0.344751i
\(649\) 5.84229i 0.229330i
\(650\) −2.43661 + 4.22033i −0.0955717 + 0.165535i
\(651\) −22.0618 18.8050i −0.864669 0.737027i
\(652\) 12.3640 + 21.4151i 0.484213 + 0.838682i
\(653\) 39.0555 22.5487i 1.52836 0.882399i 0.528929 0.848666i \(-0.322594\pi\)
0.999431 0.0337326i \(-0.0107394\pi\)
\(654\) −8.24848 + 16.3314i −0.322541 + 0.638608i
\(655\) 2.48043 4.29623i 0.0969184 0.167868i
\(656\) 4.31856 0.168611
\(657\) 1.36339 + 12.1431i 0.0531909 + 0.473748i
\(658\) 15.2098 15.9458i 0.592939 0.621632i
\(659\) 27.5435 + 15.9022i 1.07294 + 0.619463i 0.928984 0.370121i \(-0.120684\pi\)
0.143958 + 0.989584i \(0.454017\pi\)
\(660\) −0.232778 0.355680i −0.00906085 0.0138448i
\(661\) 17.1234 9.88619i 0.666022 0.384528i −0.128546 0.991704i \(-0.541031\pi\)
0.794568 + 0.607175i \(0.207698\pi\)
\(662\) −9.27631 + 5.35568i −0.360534 + 0.208154i
\(663\) −4.73945 7.24180i −0.184065 0.281248i
\(664\) 14.7348 + 8.50712i 0.571820 + 0.330140i
\(665\) 4.25587 4.46181i 0.165035 0.173022i
\(666\) 14.2076 + 6.20535i 0.550535 + 0.240452i
\(667\) −14.0733 −0.544918
\(668\) 9.67422 16.7562i 0.374307 0.648318i
\(669\) 13.3037 26.3403i 0.514349 1.01837i
\(670\) 3.45763 1.99626i 0.133580 0.0771223i
\(671\) −1.65948 2.87430i −0.0640635 0.110961i
\(672\) 3.48754 + 2.97272i 0.134535 + 0.114675i
\(673\) −0.945369 + 1.63743i −0.0364413 + 0.0631182i −0.883671 0.468109i \(-0.844936\pi\)
0.847230 + 0.531227i \(0.178269\pi\)
\(674\) 7.55183i 0.290886i
\(675\) 23.6982 + 8.80893i 0.912144 + 0.339056i
\(676\) −11.9969 −0.461418
\(677\) 10.5661 18.3010i 0.406088 0.703364i −0.588360 0.808599i \(-0.700226\pi\)
0.994447 + 0.105235i \(0.0335595\pi\)
\(678\) −0.402553 7.19326i −0.0154599 0.276255i
\(679\) −44.2627 10.7465i −1.69865 0.412412i
\(680\) −1.58394 + 0.914490i −0.0607415 + 0.0350691i
\(681\) −7.90067 3.99038i −0.302754 0.152912i
\(682\) 3.66751 + 2.11744i 0.140436 + 0.0810810i
\(683\) 8.71972i 0.333651i 0.985986 + 0.166825i \(0.0533516\pi\)
−0.985986 + 0.166825i \(0.946648\pi\)
\(684\) 15.3495 11.3191i 0.586901 0.432798i
\(685\) 3.29517i 0.125902i
\(686\) 17.5049 6.04790i 0.668342 0.230910i
\(687\) 14.4804 + 22.1258i 0.552463 + 0.844153i
\(688\) 2.24922 + 3.89576i 0.0857506 + 0.148524i
\(689\) 0 0
\(690\) 4.08812 2.67551i 0.155632 0.101855i
\(691\) −15.7071 9.06850i −0.597526 0.344982i 0.170542 0.985350i \(-0.445448\pi\)
−0.768068 + 0.640369i \(0.778782\pi\)
\(692\) −4.83654 −0.183858
\(693\) −5.27125 0.669706i −0.200238 0.0254400i
\(694\) −10.9320 −0.414972
\(695\) 2.95235 + 1.70454i 0.111989 + 0.0646568i
\(696\) 2.82769 + 1.42818i 0.107183 + 0.0541349i
\(697\) 10.7728 + 18.6590i 0.408048 + 0.706760i
\(698\) 0.592145 + 1.02562i 0.0224130 + 0.0388205i
\(699\) −17.6272 + 0.986465i −0.666724 + 0.0373115i
\(700\) 12.3524 3.62456i 0.466876 0.136996i
\(701\) 35.6167i 1.34523i −0.739995 0.672613i \(-0.765172\pi\)
0.739995 0.672613i \(-0.234828\pi\)
\(702\) −0.868738 5.13126i −0.0327884 0.193667i
\(703\) 32.8534i 1.23909i
\(704\) −0.579764 0.334727i −0.0218507 0.0126155i
\(705\) 0.295503 + 5.28038i 0.0111293 + 0.198871i
\(706\) 29.0832 16.7912i 1.09456 0.631946i
\(707\) −9.82012 + 40.4472i −0.369324 + 1.52117i
\(708\) 13.4923 + 6.81453i 0.507071 + 0.256106i
\(709\) 1.80385 3.12436i 0.0677449 0.117338i −0.830163 0.557520i \(-0.811753\pi\)
0.897908 + 0.440183i \(0.145086\pi\)
\(710\) −2.01572 −0.0756485
\(711\) 10.0331 22.9716i 0.376271 0.861501i
\(712\) 10.7113i 0.401424i
\(713\) −24.3375 + 42.1538i −0.911447 + 1.57867i
\(714\) −4.14429 + 22.4840i −0.155096 + 0.841443i
\(715\) 0.122902 + 0.212873i 0.00459628 + 0.00796099i
\(716\) 3.16789 1.82898i 0.118390 0.0683522i
\(717\) 18.1934 + 27.7992i 0.679445 + 1.03818i
\(718\) −5.06407 + 8.77122i −0.188989 + 0.327339i
\(719\) −25.7829 −0.961540 −0.480770 0.876847i \(-0.659643\pi\)
−0.480770 + 0.876847i \(0.659643\pi\)
\(720\) −1.09293 + 0.122710i −0.0407310 + 0.00457314i
\(721\) −20.8991 + 21.9104i −0.778323 + 0.815987i
\(722\) −18.5453 10.7072i −0.690186 0.398479i
\(723\) 16.1523 31.9804i 0.600710 1.18936i
\(724\) 4.90860 2.83398i 0.182427 0.105324i
\(725\) 7.70685 4.44955i 0.286225 0.165252i
\(726\) −18.2478 + 1.02119i −0.677238 + 0.0378999i
\(727\) 1.32423 + 0.764544i 0.0491129 + 0.0283554i 0.524355 0.851499i \(-0.324306\pi\)
−0.475242 + 0.879855i \(0.657640\pi\)
\(728\) −1.91749 1.82898i −0.0710668 0.0677865i
\(729\) −25.4953 + 8.88761i −0.944270 + 0.329171i
\(730\) −1.49321 −0.0552660
\(731\) −11.2215 + 19.4362i −0.415042 + 0.718873i
\(732\) −8.57360 + 0.479800i −0.316889 + 0.0177339i
\(733\) −17.9908 + 10.3870i −0.664504 + 0.383651i −0.793991 0.607930i \(-0.792000\pi\)
0.129487 + 0.991581i \(0.458667\pi\)
\(734\) −9.00104 15.5903i −0.332234 0.575447i
\(735\) −1.81425 + 4.05764i −0.0669196 + 0.149668i
\(736\) 3.84729 6.66371i 0.141813 0.245628i
\(737\) 7.29084i 0.268562i
\(738\) 1.44554 + 12.8748i 0.0532110 + 0.473927i
\(739\) −11.8709 −0.436678 −0.218339 0.975873i \(-0.570064\pi\)
−0.218339 + 0.975873i \(0.570064\pi\)
\(740\) −0.947269 + 1.64072i −0.0348223 + 0.0603140i
\(741\) −9.22773 + 6.03917i −0.338989 + 0.221854i
\(742\) 0 0
\(743\) −37.5906 + 21.7029i −1.37907 + 0.796204i −0.992047 0.125868i \(-0.959828\pi\)
−0.387019 + 0.922072i \(0.626495\pi\)
\(744\) 9.16789 6.00000i 0.336111 0.219971i
\(745\) 0.899148 + 0.519124i 0.0329422 + 0.0190192i
\(746\) 16.4090i 0.600777i
\(747\) −20.4299 + 46.7759i −0.747491 + 1.71144i
\(748\) 3.33994i 0.122120i
\(749\) −8.24030 28.0826i −0.301094 1.02612i
\(750\) −2.82415 + 5.59160i −0.103123 + 0.204176i
\(751\) −1.15691 2.00383i −0.0422164 0.0731209i 0.844145 0.536115i \(-0.180109\pi\)
−0.886362 + 0.462994i \(0.846775\pi\)
\(752\) 4.16450 + 7.21313i 0.151864 + 0.263036i
\(753\) 0.175363 + 3.13358i 0.00639058 + 0.114194i
\(754\) −1.58642 0.915921i −0.0577741 0.0333559i
\(755\) −6.06787 −0.220832
\(756\) −7.69509 + 11.3923i −0.279868 + 0.414336i
\(757\) −15.0946 −0.548624 −0.274312 0.961641i \(-0.588450\pi\)
−0.274312 + 0.961641i \(0.588450\pi\)
\(758\) −2.52336 1.45686i −0.0916525 0.0529156i
\(759\) 0.498522 + 8.90814i 0.0180952 + 0.323345i
\(760\) 1.16527 + 2.01831i 0.0422689 + 0.0732119i
\(761\) 11.6690 + 20.2112i 0.422999 + 0.732656i 0.996231 0.0867370i \(-0.0276440\pi\)
−0.573232 + 0.819393i \(0.694311\pi\)
\(762\) −1.30361 + 2.58105i −0.0472248 + 0.0935016i
\(763\) −26.8173 + 7.86900i −0.970850 + 0.284877i
\(764\) 27.3777i 0.990490i
\(765\) −3.25653 4.41606i −0.117740 0.159663i
\(766\) 8.57443i 0.309807i
\(767\) −7.56959 4.37030i −0.273322 0.157803i
\(768\) −1.44927 + 0.948485i −0.0522959 + 0.0342255i
\(769\) −15.8266 + 9.13748i −0.570721 + 0.329506i −0.757437 0.652908i \(-0.773549\pi\)
0.186716 + 0.982414i \(0.440216\pi\)
\(770\) 0.153197 0.630990i 0.00552085 0.0227393i
\(771\) 9.35568 6.12290i 0.336937 0.220511i
\(772\) −5.01413 + 8.68473i −0.180463 + 0.312570i
\(773\) −0.438507 −0.0157720 −0.00788600 0.999969i \(-0.502510\pi\)
−0.00788600 + 0.999969i \(0.502510\pi\)
\(774\) −10.8614